Subgroups — #45686752

Order 33328.

20 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₈₃₃₂	C₂	1	1	yes	maximal, characteristic
2	C₂₀₈₃⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
3	Q₈×C₂₀₈₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₂₀₈₃	—	2	1	no	—
5	C₄×C₂₀₈₃	—	2	1	no	—
6	C₄×C₂₀₈₃	C₂²	1	1	yes	characteristic
7	C₂×C₂₀₈₃	D₄	1	1	yes	characteristic
8	D₂₀₈₃	—	4	1	no	—
9	C₂₀₈₃	SD₁₆	1	1	yes	characteristic, complemented, Sylow
10	SD₁₆	—	2083	1	no	maximal, Sylow
11	Q₈	D₂₀₈₃	1	1	yes	characteristic, complemented
12	D₄	—	2083	1	no	—
13	C₈	—	2083	1	no	—
14	C₂²	—	4166	1	no	—
15	C₄	—	2	1	no	—
16	C₄	C₂×D₂₀₈₃	1	1	yes	characteristic
17	C₂	—	8332	1	no	—
18	C₂	C₂²⋊D₂₀₈₃	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.