Subgroups — C₃×#16864282 #27166159

Order 12876.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₃₇×D₂₉	C₂	1	1	yes	maximal, characteristic
2	#16864282	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₂₉×C₃₇	C₄	1	1	yes	characteristic, complemented, Hall
4	C₃₇×D₂₉	C₂×C₃	1	1	yes	characteristic
5	C₂₉×C₃₇	C₃×C₄	1	1	yes	characteristic, complemented, Hall
6	C₃×Dic₃₇	—	29	1	no	maximal, Hall
7	C₃×#1181	—	37	1	no	maximal, Hall
8	C₂×C₃×C₃₇	—	29	1	no	—
9	C₃×D₂₉	D₃₇	1	1	yes	characteristic
10	Dic₃₇	—	29	1	no	Hall
11	#1181	—	37	1	no	Hall
12	C₃×C₃₇	#1181	1	1	yes	characteristic, complemented, Hall
13	C₃×C₂₉	Dic₃₇	1	1	yes	characteristic, complemented, Hall
14	C₂×C₃₇	—	29	1	no	—
15	D₂₉	C₃×D₃₇	1	1	yes	characteristic
16	C₃₇	C₃×#1181	1	1	yes	characteristic, complemented, Sylow
17	C₂₉	C₃×Dic₃₇	1	1	yes	characteristic, complemented, Sylow
18	C₃×C₄	—	1073	1	no	Hall
19	C₂×C₃	—	29	1	no	—
20	C₄	—	1073	1	no	Sylow
21	C₃	#16864282	1	1	yes	characteristic, direct product factor, Sylow
22	C₂	—	29	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.