# Groups of order 2^3.3^n

From Groupprops

This article discusses the groups of order , where varies over nonnegative integers. Note that any such group has a 3-Sylow subgroup of order and a 2-Sylow subgroup of order , which must be one of the groups of order 8.

See also groups of order 3^n, groups of order 2.3^n, groups of order 2^2.3^n.

## Number of groups of small orders

Exponent | Value | Value | Number of groups of order | Reason/explanation/list |
---|---|---|---|---|

0 | 1 | 8 | 5 | See groups of order 8, classification of groups of prime-cube order |

1 | 3 | 24 | 15 | See groups of order 24. |

2 | 9 | 72 | 50 | See groups of order 72. |

3 | 27 | 216 | 177 | See groups of order 216. |

4 | 81 | 648 | 757 | See groups of order 648. |

5 | 243 | 1944 | 3973 | See groups of order 1944. |