Subgroups — #45683075

Order 33056.

26 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Dic₄₁₃₂	C₂	1	1	yes	maximal, characteristic, complemented
2	D₈₂₆₄	C₂	1	1	yes	maximal, characteristic
3	C₁₆×C₁₀₃₃	C₂	1	1	yes	maximal, characteristic, complemented
4	Dic₂₀₆₆	—	2	1	no	—
5	D₄₁₃₂	—	2	1	no	—
6	C₈×C₁₀₃₃	C₂²	1	1	yes	characteristic
7	C₂×D₁₀₃₃	—	4	1	no	—
8	C₄×C₁₀₃₃	D₄	1	1	yes	characteristic
9	Dic₁₀₃₃	—	4	1	no	—
10	C₂×C₁₀₃₃	D₈	1	1	yes	characteristic
11	D₁₀₃₃	—	8	1	no	—
12	C₁₀₃₃	SD₃₂	1	1	yes	characteristic, complemented, Sylow
13	SD₃₂	—	1033	1	no	maximal, Sylow
14	Q₁₆	—	1033	1	no	—
15	D₈	—	1033	1	no	—
16	C₁₆	D₁₀₃₃	1	1	yes	characteristic, complemented
17	Q₈	—	2066	1	no	—
18	D₄	—	2066	1	no	—
19	C₈	C₂×D₁₀₃₃	1	1	yes	characteristic
20	C₂²	—	4132	1	no	—
21	C₄	—	4132	1	no	—
22	C₄	D₄₁₃₂	1	1	yes	characteristic
23	C₂	—	8264	1	no	—
24	C₂	D₈₂₆₄	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.