Subgroups — C₄⋊#13095400 #20259965

Order 6176.

38 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13095400	C₂	1	2	yes	maximal
2	C₄×Dic₁₉₃	C₂	1	1	yes	maximal, characteristic
3	#13095400	—	2	2	no	—
4	C₂×Dic₁₉₃	C₄	1	1	yes	characteristic
5	C₂×Dic₁₉₃	C₂²	1	1	yes	characteristic
6	C₂×C₄×C₁₉₃	C₄	1	1	yes	characteristic
7	C₂²×C₁₉₃	C₂×C₄	1	1	yes	characteristic
8	C₄×C₁₉₃	C₈	1	2	yes	complemented
9	Dic₁₉₃	—	2	1	no	—
10	Dic₁₉₃	D₄	1	1	yes	characteristic
11	Dic₁₉₃	Q₈	1	1	yes	characteristic
12	C₂×C₁₉₃	C₄⋊C₄	1	1	yes	characteristic
13	C₂×C₁₉₃	C₂×C₈	1	1	yes	characteristic
14	C₂×C₁₉₃	M₁₆	1	1	yes	characteristic
15	C₁₉₃	C₄⋊C₈	1	1	yes	characteristic, complemented, Sylow
16	C₄⋊C₈	—	193	1	no	maximal, Sylow
17	C₂×C₈	—	193	2	no	—
18	C₄²	—	193	1	no	—
19	C₂×C₄	—	193	1	no	—
20	C₂×C₄	—	193	1	no	—
21	C₂×C₄	#11715871	1	1	yes	characteristic
22	C₈	—	386	2	no	—
23	C₂²	C₂×#11715871	1	1	yes	characteristic
24	C₄	—	386	1	no	—
25	C₄	—	193	1	no	—
26	C₄	—	193	1	no	—
27	C₄	#13095400	1	2	yes	complemented
28	C₂	C₄⋊#11715871	1	1	yes	characteristic
29	C₂	C₂×#13095400	1	1	yes	characteristic
30	C₂	#15690565	1	1	yes	characteristic

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