Subgroups — D₆₁⋊C₆₄ #21460987

Order 7808.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#16840601	C₂	1	2	yes	maximal, complemented
2	C₃₂×D₆₁	C₂	1	1	yes	maximal, characteristic
3	C₁₆×D₆₁	C₄	1	1	yes	characteristic
4	#14519683	C₂²	1	1	yes	characteristic
5	C₃₂×C₆₁	C₄	1	1	yes	characteristic
6	C₈×D₆₁	C₈	1	1	yes	characteristic
7	C₁₆×C₆₁	C₂×C₄	1	1	yes	characteristic
8	#11758185	C₈	1	1	yes	characteristic
9	C₄×D₆₁	C₁₆	1	1	yes	characteristic
10	C₈×C₆₁	C₂×C₈	1	1	yes	characteristic
11	#92418	C₁₆	1	1	yes	characteristic
12	C₂×D₆₁	C₃₂	1	1	yes	characteristic
13	C₄×C₆₁	C₂×C₁₆	1	1	yes	characteristic
14	Dic₆₁	C₃₂	1	1	yes	characteristic
15	C₂×C₆₄	—	61	1	no	maximal, Sylow
16	C₂×C₆₁	C₂×C₃₂	1	1	yes	characteristic
17	D₆₁	C₆₄	1	2	yes	complemented
18	C₂×C₃₂	—	61	1	no	—
19	C₆₄	—	61	2	no	—
20	C₆₁	C₂×C₆₄	1	1	yes	characteristic, complemented, Sylow
21	C₂×C₁₆	—	61	1	no	—
22	C₃₂	—	61	1	no	—
23	C₃₂	#6923	1	1	yes	characteristic
24	C₂×C₈	—	61	1	no	—
25	C₁₆	—	61	1	no	—
26	C₁₆	C₂×#6923	1	1	yes	characteristic
27	C₂×C₄	—	61	1	no	—
28	C₈	—	61	1	no	—
29	C₈	D₆₁⋊C₈	1	1	yes	characteristic
30	C₂²	—	61	1	no	—
31	C₄	—	61	1	no	—
32	C₄	D₆₁⋊C₁₆	1	1	yes	characteristic
33	C₂	—	61	2	no	—
34	C₂	D₆₁⋊C₃₂	1	1	yes	characteristic

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