Subgroups — #19149748

Order 5536.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄⋊#10621924	C₂	1	2	yes	maximal
2	C₈×D₁₇₃	C₂	1	1	yes	maximal, characteristic
3	C₂×#10621924	—	2	2	no	—
4	C₄×D₁₇₃	C₂²	1	1	yes	characteristic
5	#13063436	C₄	1	1	yes	characteristic, complemented
6	C₈×C₁₇₃	C₄	1	1	yes	characteristic, complemented
7	C₂×D₁₇₃	D₄	1	1	yes	characteristic
8	#10621924	—	4	2	no	—
9	C₄×C₁₇₃	C₂×C₄	1	1	yes	characteristic
10	Dic₁₇₃	Q₈	1	1	yes	characteristic
11	C₂×C₁₇₃	C₄⋊C₄	1	1	yes	characteristic
12	D₁₇₃	D₈	1	1	yes	characteristic
13	D₁₇₃	Q₁₆	1	1	yes	characteristic
14	C₁₇₃	#107	1	1	yes	characteristic, complemented, Sylow
15	#107	—	173	1	no	maximal, Sylow
16	C₂×C₈	—	173	1	no	—
17	C₄⋊C₄	—	173	2	no	—
18	C₂×C₄	—	346	2	no	—
19	C₂×C₄	—	173	1	no	—
20	C₈	—	173	1	no	—
21	C₈	#10621924	1	1	yes	characteristic, complemented
22	C₂²	—	173	1	no	—
23	C₄	—	173	1	no	—
24	C₄	—	692	2	no	—
25	C₄	C₂×#10621924	1	1	yes	characteristic
26	C₂	—	173	1	no	—
27	C₂	—	173	1	no	—
28	C₂	C₄⋊#10621924	1	1	yes	characteristic

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