Subgroups — C₅×#20263553 #44539487

Order 31635.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×C₁₉×C₃₇⋊C₃	C₃	1	1	yes	maximal, characteristic
2	#20263553	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₅×C₁₉×C₃₇	C₉	1	1	yes	characteristic, complemented, Hall
4	C₁₉×C₃₇⋊C₃	C₃×C₅	1	1	yes	characteristic
5	C₅×#66526	—	19	1	no	maximal, Hall
6	C₅×#4294	—	37	1	no	maximal, Hall
7	C₁₉×C₃₇	C₅×C₉	1	1	yes	characteristic, complemented, Hall
8	C₅×C₃₇⋊C₃	C₁₉⋊C₃	1	1	yes	characteristic
9	#66526	—	19	1	no	Hall
10	C₃×C₅×C₁₉	—	37	1	no	—
11	C₅×C₃₇	#4294	1	1	yes	characteristic, complemented, Hall
12	#4294	—	37	1	no	Hall
13	C₃₇⋊C₃	C₅×C₁₉⋊C₃	1	1	yes	characteristic
14	C₅×C₁₉	#66526	1	1	yes	characteristic, complemented, Hall
15	C₃×C₁₉	—	37	1	no	—
16	C₅×C₉	—	703	1	no	Hall
17	C₃₇	C₅×#4294	1	1	yes	characteristic, complemented, Sylow
18	C₁₉	C₅×#66526	1	1	yes	characteristic, complemented, Sylow
19	C₃×C₅	—	37	1	no	—
20	C₉	—	703	1	no	Sylow
21	C₅	#20263553	1	1	yes	characteristic, direct product factor, Sylow
22	C₃	—	37	1	no	—

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.