Subgroups — #15692343

Order 3232.

62 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13108084	C₂	1	3	yes	maximal, complemented
2	D₁₀₁⋊C₈	C₂	1	3	yes	maximal, complemented
3	#13108075	C₂	1	1	yes	maximal, characteristic
4	Q₈×C₁₀₁	C₄	1	1	yes	characteristic
5	D₄₀₄	C₄	1	3	yes	—
6	C₄×D₁₀₁	C₂²	1	3	yes	—
7	#11717581	C₂²	1	1	yes	characteristic
8	#11717581	C₂²	1	3	yes	—
9	C₂×D₁₀₁	C₂×C₄	1	3	yes	—
10	C₄×C₁₀₁	C₂×C₄	1	3	yes	—
11	Dic₁₀₁	C₂³	1	1	yes	characteristic
12	C₂×C₁₀₁	C₂²×C₄	1	1	yes	characteristic
13	D₁₀₁	—	2	3	no	—
14	C₁₀₁	#131	1	1	yes	characteristic, complemented, Sylow
15	#131	—	101	1	no	maximal, Sylow
16	#41	—	101	1	no	—
17	M₁₆	—	101	3	no	—
18	C₂×C₈	—	101	3	no	—
19	Q₈	#87938	1	1	yes	characteristic
20	D₄	—	101	3	no	—
21	C₂×C₄	—	101	3	no	—
22	C₈	—	101	1	no	—
23	C₈	—	101	3	no	—
24	C₂²	—	101	3	no	—
25	C₄	—	101	1	no	—
26	C₄	C₂×#87938	1	3	yes	—
27	C₂	—	202	3	no	—
28	C₂	C₂²×#87938	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.