Subgroups — D₁₈₁⋊C₆₄ #37548889

Order 23168.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26042118	C₂	1	2	yes	maximal, complemented
2	C₃₂×D₁₈₁	C₂	1	1	yes	maximal, characteristic
3	C₁₆×D₁₈₁	C₄	1	1	yes	characteristic
4	#19153722	C₂²	1	1	yes	characteristic
5	C₃₂×C₁₈₁	C₄	1	1	yes	characteristic
6	C₈×D₁₈₁	C₈	1	1	yes	characteristic
7	#15668424	C₈	1	1	yes	characteristic
8	C₁₆×C₁₈₁	C₂×C₄	1	1	yes	characteristic
9	C₄×D₁₈₁	C₁₆	1	1	yes	characteristic
10	#13089678	C₁₆	1	1	yes	characteristic
11	C₈×C₁₈₁	C₂×C₈	1	1	yes	characteristic
12	C₂×D₁₈₁	C₃₂	1	1	yes	characteristic
13	C₄×C₁₈₁	C₂×C₁₆	1	1	yes	characteristic
14	Dic₁₈₁	C₃₂	1	1	yes	characteristic
15	C₂×C₁₈₁	C₂×C₃₂	1	1	yes	characteristic
16	D₁₈₁	C₆₄	1	2	yes	complemented
17	C₁₈₁	C₂×C₆₄	1	1	yes	characteristic, complemented, Sylow
18	C₂×C₆₄	—	181	1	no	maximal, Sylow
19	C₂×C₃₂	—	181	1	no	—
20	C₆₄	—	181	2	no	—
21	C₂×C₁₆	—	181	1	no	—
22	C₃₂	—	181	1	no	—
23	C₃₂	#10624382	1	1	yes	characteristic
24	C₂×C₈	—	181	1	no	—
25	C₁₆	—	181	1	no	—
26	C₁₆	C₂×#10624382	1	1	yes	characteristic
27	C₂×C₄	—	181	1	no	—
28	C₈	—	181	1	no	—
29	C₈	D₁₈₁⋊C₈	1	1	yes	characteristic
30	C₂²	—	181	1	no	—
31	C₄	—	181	1	no	—
32	C₄	D₁₈₁⋊C₁₆	1	1	yes	characteristic
33	C₂	—	181	2	no	—
34	C₂	D₁₈₁⋊C₃₂	1	1	yes	characteristic

Splittings G = N ⋊ H with N normal; H ≅ G/N.

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.