Subgroups — D₁₇₃⋊C₃₂ #26012422

Order 11072.

34 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19149729	C₂	1	2	yes	maximal, complemented
2	C₁₆×D₁₇₃	C₂	1	1	yes	maximal, characteristic
3	C₈×D₁₇₃	C₄	1	1	yes	characteristic
4	#14583801	C₂²	1	1	yes	characteristic
5	C₁₆×C₁₇₃	C₄	1	1	yes	characteristic
6	C₄×D₁₇₃	C₈	1	1	yes	characteristic
7	#13063436	C₈	1	1	yes	characteristic
8	C₈×C₁₇₃	C₂×C₄	1	1	yes	characteristic
9	C₂×D₁₇₃	C₁₆	1	1	yes	characteristic
10	C₄×C₁₇₃	C₂×C₈	1	1	yes	characteristic
11	Dic₁₇₃	C₁₆	1	1	yes	characteristic
12	C₂×C₁₇₃	C₂×C₁₆	1	1	yes	characteristic
13	D₁₇₃	C₃₂	1	2	yes	complemented
14	C₁₇₃	C₂×C₃₂	1	1	yes	characteristic, complemented, Sylow
15	C₂×C₃₂	—	173	1	no	maximal, Sylow
16	C₂×C₁₆	—	173	1	no	—
17	C₃₂	—	173	2	no	—
18	C₂×C₈	—	173	1	no	—
19	C₁₆	—	173	1	no	—
20	C₁₆	#10621924	1	1	yes	characteristic
21	C₂×C₄	—	173	1	no	—
22	C₈	—	173	1	no	—
23	C₈	C₂×#10621924	1	1	yes	characteristic
24	C₂²	—	173	1	no	—
25	C₄	—	173	1	no	—
26	C₄	D₁₇₃⋊C₈	1	1	yes	characteristic
27	C₂	—	173	2	no	—
28	C₂	D₁₇₃⋊C₁₆	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.