Subgroups — C₃×#23779526 #44501970

Order 30699.

28 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23779526	C₃	1	3	yes	maximal, direct product factor
2	C₃×#16811789	C₃	1	1	yes	maximal, characteristic
3	C₃×C₃₇₉⋊C₃	C₉	1	1	yes	characteristic
4	#16811789	C₉	1	2	yes	—
5	#16811789	C₃²	1	1	yes	characteristic
6	C₃×C₃₇₉	C₂₇	1	1	yes	characteristic, complemented
7	C₃₇₉⋊C₃	C₂₇	1	2	yes	complemented
8	C₃₇₉⋊C₃	C₃×C₉	1	1	yes	characteristic
9	C₃₇₉	C₃×C₂₇	1	1	yes	characteristic, complemented, Sylow
10	C₃×C₂₇	—	379	1	no	maximal, Sylow
11	C₃×C₉	—	379	1	no	—
12	C₂₇	—	379	3	no	—
13	C₃²	—	379	1	no	—
14	C₉	—	379	2	no	—
15	C₉	—	379	1	no	—
16	C₃	—	379	1	no	—
17	C₃	—	379	2	no	—
18	C₃	#23779526	1	1	yes	characteristic, direct product factor

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.