Subgroups — #45683047

Order 33056.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#30658309	C₂	1	2	yes	maximal, complemented
2	C₂×D₄×C₁₀₃₃	C₂	1	1	yes	maximal, characteristic
3	#22551916	—	2	2	no	—
4	C₂³×C₁₀₃₃	C₄	1	2	yes	—
5	D₄×C₁₀₃₃	—	2	2	no	—
6	C₂×C₄×C₁₀₃₃	C₂²	1	1	yes	characteristic
7	C₂²×C₁₀₃₃	—	2	2	no	—
8	C₂²×C₁₀₃₃	—	4	2	no	—
9	C₂²×C₁₀₃₃	C₂×C₄	1	1	yes	characteristic
10	C₄×C₁₀₃₃	D₄	1	2	yes	—
11	C₂×C₁₀₃₃	—	2	1	no	—
12	C₂×C₁₀₃₃	—	4	2	no	—
13	C₂×C₁₀₃₃	C₂²⋊C₄	1	1	yes	characteristic
14	C₁₀₃₃	#100	1	1	yes	characteristic, complemented, Sylow
15	#100	—	1033	1	no	maximal, Sylow
16	C₂×D₄	D₁₀₃₃	1	1	yes	characteristic
17	M₁₆	—	1033	2	no	—
18	C₂³	Dic₁₀₃₃	1	2	yes	—
19	D₄	—	2	2	no	—
20	C₂×C₄	C₂×D₁₀₃₃	1	1	yes	characteristic
21	C₈	—	2066	2	no	—
22	C₂²	—	2	2	no	—
23	C₂²	—	4	2	no	—
24	C₂²	C₂×Dic₁₀₃₃	1	1	yes	characteristic
25	C₄	C₂²⋊D₁₀₃₃	1	2	yes	—
26	C₂	—	2	1	no	—
27	C₂	—	4	2	no	—
28	C₂	C₂²⋊Dic₁₀₃₃	1	1	yes	characteristic

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

N	H ≅ G/N	type
1. #30658309	C₂	semidirect
14. C₁₀₃₃	#100	semidirect

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.