Subgroups — C₃×Dic₇₉₃ #23748899

Order 9516.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₁₃×C₆₁	C₂	1	1	yes	maximal, characteristic
2	Dic₇₉₃	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₁₃×C₆₁	C₄	1	1	yes	characteristic, complemented, Hall
4	C₂×C₁₃×C₆₁	C₂×C₃	1	1	yes	characteristic
5	C₁₃×C₆₁	C₃×C₄	1	1	yes	characteristic, complemented, Hall
6	C₃×Dic₆₁	—	13	1	no	maximal, Hall
7	C₂×C₃×C₆₁	D₁₃	1	1	yes	characteristic
8	Dic₆₁	—	13	1	no	Hall
9	C₃×C₆₁	Dic₁₃	1	1	yes	characteristic, complemented, Hall
10	C₃×Dic₁₃	—	61	1	no	maximal, Hall
11	C₂×C₆₁	C₃×D₁₃	1	1	yes	characteristic
12	C₂×C₃×C₁₃	D₆₁	1	1	yes	characteristic
13	C₆₁	C₃×Dic₁₃	1	1	yes	characteristic, complemented, Sylow
14	Dic₁₃	—	61	1	no	Hall
15	C₃×C₁₃	Dic₆₁	1	1	yes	characteristic, complemented, Hall
16	C₂×C₁₃	C₃×D₆₁	1	1	yes	characteristic
17	C₁₃	C₃×Dic₆₁	1	1	yes	characteristic, complemented, Sylow
18	C₃×C₄	—	793	1	no	Hall
19	C₂×C₃	D₇₉₃	1	1	yes	characteristic
20	C₄	—	793	1	no	Sylow
21	C₃	Dic₇₉₃	1	1	yes	characteristic, direct product factor, Sylow
22	C₂	C₃×D₇₉₃	1	1	yes	characteristic

Splittings G = N ⋊ H with N normal; H ≅ G/N.