Subgroups — #30654493

Order 16304.

20 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Dic₂₀₃₈	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄₀₇₆	C₂	1	1	yes	maximal, characteristic
3	C₈×C₁₀₁₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₁₀₁₉	—	2	1	no	—
5	C₄×C₁₀₁₉	C₂²	1	1	yes	characteristic
6	Dic₁₀₁₉	—	2	1	no	—
7	C₂×C₁₀₁₉	D₄	1	1	yes	characteristic
8	D₁₀₁₉	—	4	1	no	—
9	C₁₀₁₉	SD₁₆	1	1	yes	characteristic, complemented, Sylow
10	SD₁₆	—	1019	1	no	maximal, Sylow
11	Q₈	—	1019	1	no	—
12	D₄	—	1019	1	no	—
13	C₈	D₁₀₁₉	1	1	yes	characteristic, complemented
14	C₂²	—	2038	1	no	—
15	C₄	—	2038	1	no	—
16	C₄	C₂×D₁₀₁₉	1	1	yes	characteristic
17	C₂	—	4076	1	no	—
18	C₂	D₄₀₇₆	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.