Subgroups — C₁₉×Dic₇₁⋊C₅ #41008683

Order 26980.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×C₇₁⋊C₅	C₂	1	1	yes	maximal, characteristic
2	C₁₉×C₇₁⋊C₅	C₄	1	1	yes	characteristic, complemented, Hall
3	C₁₉×Dic₇₁	C₅	1	1	yes	maximal, characteristic, complemented, Hall
4	C₂×C₁₉×C₇₁	C₂×C₅	1	1	yes	characteristic
5	Dic₇₁⋊C₅	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₁₉×C₇₁	C₄×C₅	1	1	yes	characteristic, complemented, Hall
7	C₂×C₇₁⋊C₅	C₂×C₁₉	1	1	yes	characteristic
8	C₄×C₅×C₁₉	—	71	1	no	maximal, Hall
9	C₇₁⋊C₅	C₄×C₁₉	1	1	yes	characteristic, complemented, Hall
10	Dic₇₁	C₅×C₁₉	1	1	yes	characteristic, complemented, Hall
11	C₂×C₅×C₁₉	—	71	1	no	—
12	C₂×C₇₁	C₂×C₅×C₁₉	1	1	yes	characteristic
13	C₅×C₁₉	—	71	1	no	Hall
14	C₄×C₁₉	—	71	1	no	Hall
15	C₇₁	C₄×C₅×C₁₉	1	1	yes	characteristic, complemented, Sylow
16	C₂×C₁₉	D₇₁⋊C₅	1	1	yes	characteristic
17	C₄×C₅	—	71	1	no	Hall
18	C₁₉	Dic₇₁⋊C₅	1	1	yes	characteristic, direct product factor, Sylow
19	C₂×C₅	—	71	1	no	—
20	C₅	—	71	1	no	Sylow
21	C₄	—	71	1	no	Sylow
22	C₂	C₁₉×D₇₁⋊C₅	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.