Subgroups — C₇₃×#4294⋊C₂ #38735708

Order 24966.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇₃×#4294	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₃×D₁₉×C₇₃	C₃	1	1	yes	maximal, characteristic
3	C₃×C₁₉×C₇₃	C₂×C₃	1	1	yes	characteristic
4	D₁₉×C₇₃	C₉	1	1	yes	characteristic, complemented, Hall
5	C₁₉×C₇₃	C₂×C₉	1	1	yes	characteristic, complemented, Hall
6	C₂×C₉×C₇₃	—	19	1	no	maximal, Hall
7	C₉×C₇₃	—	19	1	no	Hall
8	C₂×C₃×C₇₃	—	19	1	no	—
9	#4294⋊C₂	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Hall
10	C₃×C₇₃	D₁₉⋊C₃	1	1	yes	characteristic
11	#4294	C₂×C₇₃	1	1	yes	characteristic, complemented, Hall
12	C₂×C₇₃	—	19	1	no	Hall
13	C₃×D₁₉	C₃×C₇₃	1	1	yes	characteristic
14	C₇₃	#4294⋊C₂	1	1	yes	characteristic, direct product factor, Sylow
15	C₃×C₁₉	C₂×C₃×C₇₃	1	1	yes	characteristic
16	D₁₉	C₉×C₇₃	1	1	yes	characteristic, complemented, Hall
17	C₁₉	C₂×C₉×C₇₃	1	1	yes	characteristic, complemented, Sylow
18	C₂×C₉	—	19	1	no	Hall
19	C₉	—	19	1	no	Sylow
20	C₂×C₃	—	19	1	no	—
21	C₃	C₇₃×D₁₉⋊C₃	1	1	yes	characteristic
22	C₂	—	19	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.