Subgroups — C₄₉×D₃₁₉ #44530489

Order 31262.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×C₂₉×C₄₉	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₇×D₃₁₉	C₇	1	1	yes	maximal, characteristic
3	C₄₉×D₂₉	—	11	1	no	maximal, Hall
4	C₇×C₁₁×C₂₉	C₂×C₇	1	1	yes	characteristic
5	C₂₉×C₄₉	D₁₁	1	1	yes	characteristic, complemented, Hall
6	D₁₁×C₄₉	—	29	1	no	maximal, Hall
7	D₃₁₉	C₄₉	1	1	yes	characteristic, direct product factor, Hall
8	C₁₁×C₄₉	D₂₉	1	1	yes	characteristic, complemented, Hall
9	C₇×D₂₉	—	11	1	no	—
10	C₁₁×C₂₉	C₂×C₄₉	1	1	yes	characteristic, complemented, Hall
11	C₇×C₂₉	C₇×D₁₁	1	1	yes	characteristic
12	C₇×D₁₁	—	29	1	no	—
13	C₂×C₄₉	—	319	1	no	Hall
14	C₇×C₁₁	C₇×D₂₉	1	1	yes	characteristic
15	D₂₉	—	11	1	no	Hall
16	C₄₉	D₃₁₉	1	1	yes	characteristic, direct product factor, Sylow
17	C₂₉	D₁₁×C₄₉	1	1	yes	characteristic, complemented, Sylow
18	D₁₁	—	29	1	no	Hall
19	C₂×C₇	—	319	1	no	—
20	C₁₁	C₄₉×D₂₉	1	1	yes	characteristic, complemented, Sylow
21	C₇	C₇×D₃₁₉	1	1	yes	characteristic
22	C₂	—	319	1	no	Sylow

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.