Subgroups — C₂×C₁₁×C₂₉⋊C₄₉ #44530486

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, direct product factor, Hall
2	C₂×C₇×C₁₁×C₂₉	C₇	1	1	yes	maximal, characteristic
3	C₂×C₂₉⋊C₄₉	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₇×C₁₁×C₂₉	C₂×C₇	1	1	yes	characteristic
5	C₂₉⋊C₄₉	C₂×C₁₁	1	1	yes	characteristic, direct product factor, Hall
6	C₂×C₁₁×C₄₉	—	29	1	no	maximal, Hall
7	C₂×C₁₁×C₂₉	C₄₉	1	1	yes	characteristic, complemented, Hall
8	C₁₁×C₄₉	—	29	1	no	Hall
9	C₂×C₇×C₂₉	C₇×C₁₁	1	1	yes	characteristic
10	C₁₁×C₂₉	C₂×C₄₉	1	1	yes	characteristic, complemented, Hall
11	C₇×C₂₉	C₂×C₇×C₁₁	1	1	yes	characteristic
12	C₂×C₇×C₁₁	C₂₉⋊C₇	1	1	yes	characteristic
13	C₂×C₄₉	—	29	1	no	Hall
14	C₇×C₁₁	C₂×C₂₉⋊C₇	1	1	yes	characteristic
15	C₂×C₂₉	C₁₁×C₄₉	1	1	yes	characteristic, complemented, Hall
16	C₄₉	—	29	1	no	Sylow
17	C₂₉	C₂×C₁₁×C₄₉	1	1	yes	characteristic, complemented, Sylow
18	C₂×C₁₁	C₂₉⋊C₄₉	1	1	yes	characteristic, direct product factor, Hall
19	C₂×C₇	C₁₁×C₂₉⋊C₇	1	1	yes	characteristic
20	C₁₁	C₂×C₂₉⋊C₄₉	1	1	yes	characteristic, direct product factor, Sylow
21	C₇	C₂×C₁₁×C₂₉⋊C₇	1	1	yes	characteristic
22	C₂	C₁₁×C₂₉⋊C₄₉	1	1	yes	characteristic, direct product factor, 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.