Subgroups — C₄⋊#19150487 #36376166

Order 22432.

38 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19150487	C₂	1	2	yes	maximal
2	C₄×Dic₇₀₁	C₂	1	1	yes	maximal, characteristic
3	#19150487	—	2	2	no	—
4	C₂×Dic₇₀₁	C₄	1	1	yes	characteristic
5	C₂×Dic₇₀₁	C₂²	1	1	yes	characteristic
6	C₂×C₄×C₇₀₁	C₄	1	1	yes	characteristic
7	C₂²×C₇₀₁	C₂×C₄	1	1	yes	characteristic
8	C₄×C₇₀₁	C₈	1	2	yes	complemented
9	Dic₇₀₁	—	2	1	no	—
10	Dic₇₀₁	D₄	1	1	yes	characteristic
11	Dic₇₀₁	Q₈	1	1	yes	characteristic
12	C₂×C₇₀₁	C₄⋊C₄	1	1	yes	characteristic
13	C₂×C₇₀₁	C₂×C₈	1	1	yes	characteristic
14	C₂×C₇₀₁	M₁₆	1	1	yes	characteristic
15	C₇₀₁	C₄⋊C₈	1	1	yes	characteristic, complemented, Sylow
16	C₄⋊C₈	—	701	1	no	maximal, Sylow
17	C₂×C₈	—	701	2	no	—
18	C₄²	—	701	1	no	—
19	C₂×C₄	—	701	1	no	—
20	C₂×C₄	—	701	1	no	—
21	C₂×C₄	#14584149	1	1	yes	characteristic
22	C₈	—	1402	2	no	—
23	C₂²	C₂×#14584149	1	1	yes	characteristic
24	C₄	—	1402	1	no	—
25	C₄	—	701	1	no	—
26	C₄	—	701	1	no	—
27	C₄	#19150487	1	2	yes	complemented
28	C₂	C₄⋊#14584149	1	1	yes	characteristic
29	C₂	C₂×#19150487	1	1	yes	characteristic
30	C₂	#26014316	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.