Subgroups — #45683040

Order 33056.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#22551916	C₂	1	1	yes	maximal, characteristic
2	C₄×Dic₁₀₃₃	C₂	1	1	yes	maximal, characteristic
3	C₂×C₈×C₁₀₃₃	C₂	1	1	yes	maximal, characteristic
4	C₂×Dic₁₀₃₃	C₄	1	2	yes	—
5	#22551916	C₄	1	2	yes	complemented
6	C₂×C₄×C₁₀₃₃	C₂²	1	1	yes	characteristic
7	C₈×C₁₀₃₃	C₄	1	2	yes	complemented
8	C₂²×C₁₀₃₃	C₂×C₄	1	1	yes	characteristic
9	C₄×C₁₀₃₃	C₂×C₄	1	1	yes	characteristic
10	C₄×C₁₀₃₃	C₂×C₄	1	1	yes	characteristic
11	Dic₁₀₃₃	—	2	2	no	—
12	C₂×C₁₀₃₃	C₄²	1	1	yes	characteristic
13	C₂×C₁₀₃₃	M₁₆	1	2	yes	—
14	C₁₀₃₃	#97	1	1	yes	characteristic, complemented, Sylow
15	#97	—	1033	1	no	maximal, Sylow
16	C₂×C₈	—	1033	1	no	—
17	C₂×C₈	D₁₀₃₃	1	1	yes	characteristic
18	C₄²	—	1033	1	no	—
19	C₂×C₄	—	1033	2	no	—
20	C₂×C₄	C₂×D₁₀₃₃	1	1	yes	characteristic
21	C₈	—	1033	2	no	—
22	C₈	Dic₁₀₃₃	1	2	yes	complemented
23	C₂²	C₄×D₁₀₃₃	1	1	yes	characteristic
24	C₄	—	2066	2	no	—
25	C₄	C₄×D₁₀₃₃	1	1	yes	characteristic
26	C₄	C₂×Dic₁₀₃₃	1	1	yes	characteristic
27	C₂	C₄×Dic₁₀₃₃	1	1	yes	characteristic
28	C₂	#30658308	1	2	yes	—

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.