Subgroups — D₄₆₇₂ #22608144

Order 9344.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₂₃₃₆	C₂	1	2	yes	maximal, complemented
2	C₆₄×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	D₁₁₆₈	—	2	2	no	—
4	C₃₂×C₇₃	C₂²	1	1	yes	characteristic
5	D₅₈₄	—	4	2	no	—
6	C₁₆×C₇₃	D₄	1	1	yes	characteristic
7	D₂₉₂	—	8	2	no	—
8	C₈×C₇₃	D₈	1	1	yes	characteristic
9	C₂×D₇₃	—	16	2	no	—
10	C₄×C₇₃	D₁₆	1	1	yes	characteristic
11	C₂×C₇₃	D₃₂	1	1	yes	characteristic
12	D₇₃	—	32	2	no	—
13	D₆₄	—	73	1	no	maximal, Sylow
14	C₇₃	D₆₄	1	1	yes	characteristic, complemented, Sylow
15	D₃₂	—	73	2	no	—
16	C₆₄	D₇₃	1	1	yes	characteristic, complemented
17	D₁₆	—	146	2	no	—
18	C₃₂	C₂×D₇₃	1	1	yes	characteristic
19	D₈	—	292	2	no	—
20	C₁₆	D₂₉₂	1	1	yes	characteristic
21	D₄	—	584	2	no	—
22	C₈	D₅₈₄	1	1	yes	characteristic
23	C₂²	—	1168	2	no	—
24	C₄	D₁₁₆₈	1	1	yes	characteristic
25	C₂	—	2336	2	no	—
26	C₂	D₂₃₃₆	1	1	yes	characteristic

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