Subgroups — D₁₅₅₉₂ #44529977

Order 31184.

22 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₇₇₉₆	C₂	1	2	yes	maximal, complemented
2	C₈×C₁₉₄₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×D₁₉₄₉	—	2	2	no	—
4	C₄×C₁₉₄₉	C₂²	1	1	yes	characteristic
5	C₂×C₁₉₄₉	D₄	1	1	yes	characteristic
6	D₁₉₄₉	—	4	2	no	—
7	C₁₉₄₉	D₈	1	1	yes	characteristic, complemented, Sylow
8	D₈	—	1949	1	no	maximal, Sylow
9	D₄	—	1949	2	no	—
10	C₈	D₁₉₄₉	1	1	yes	characteristic, complemented
11	C₂²	—	3898	2	no	—
12	C₄	C₂×D₁₉₄₉	1	1	yes	characteristic
13	C₂	—	7796	2	no	—
14	C₂	D₇₇₉₆	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.