Subgroups — C₂²⋊#22578597 #47975574

Order 35104.

50 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#22578597	C₂	1	2	yes	maximal, complemented
2	C₂²×#17984203	C₂	1	1	yes	maximal, characteristic
3	#22578597	—	2	2	no	—
4	C₂×#17984203	—	2	2	no	—
5	C₂×#17984203	C₄	1	1	yes	characteristic
6	C₂×#17984203	C₂²	1	1	yes	characteristic
7	C₂²×D₁₀₉₇	C₄	1	1	yes	characteristic
8	C₂²×C₁₀₉₇	C₈	1	1	yes	characteristic, complemented
9	C₂×D₁₀₉₇	—	2	1	no	—
10	C₂×D₁₀₉₇	—	2	1	no	—
11	C₂×D₁₀₉₇	C₈	1	1	yes	characteristic, complemented
12	C₂×D₁₀₉₇	C₂×C₄	1	1	yes	characteristic
13	#17984203	—	2	1	no	—
14	#17984203	D₄	1	2	yes	—
15	C₂×C₁₀₉₇	—	2	1	no	—
16	C₂×C₁₀₉₇	C₂×C₈	1	1	yes	characteristic
17	D₁₀₉₇	—	2	1	no	—
18	D₁₀₉₇	C₂²⋊C₄	1	1	yes	characteristic
19	D₁₀₉₇	M₁₆	1	1	yes	characteristic
20	C₁₀₉₇	C₂²⋊C₈	1	1	yes	characteristic, complemented, Sylow
21	C₂²⋊C₈	—	1097	1	no	maximal, Sylow
22	C₂²×C₄	—	1097	1	no	—
23	C₂×C₈	—	1097	2	no	—
24	C₂³	—	1097	1	no	—
25	C₂×C₄	—	1097	1	no	—
26	C₂×C₄	—	1097	1	no	—
27	C₂×C₄	—	2194	2	no	—
28	C₈	—	2194	2	no	—
29	C₂²	—	1097	1	no	—
30	C₂²	—	1097	1	no	—
31	C₂²	—	2194	1	no	—
32	C₂²	—	2194	1	no	—
33	C₂²	#22578597	1	1	yes	characteristic, complemented
34	C₄	—	1097	2	no	—
35	C₄	—	2194	1	no	—
36	C₂	—	2	1	no	—
37	C₂	—	1097	1	no	—
38	C₂	—	1097	1	no	—
39	C₂	—	2194	1	no	—
40	C₂	C₂×#22578597	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.