Subgroups — C₃×#19129958 #30656102

Order 16428.

240 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₃₇⋊D₃₇	C₂	1	1	yes	maximal, characteristic
2	#19129958	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₃₇²	C₄	1	1	yes	characteristic, complemented, Hall
4	C₃₇⋊D₃₇	C₂×C₃	1	1	yes	characteristic
5	C₃₇²	C₃×C₄	1	1	yes	characteristic, complemented, Sylow
6	C₃×#3866	—	37	38	no	maximal
7	C₃×D₃₇	—	37	38	no	—
8	#3866	—	37	38	no	—
9	C₃×C₃₇	#3866	1	38	yes	complemented
10	D₃₇	—	37	38	no	—
11	C₃₇	C₃×#3866	1	38	yes	complemented
12	C₃×C₄	—	1369	1	no	Hall
13	C₂×C₃	—	1369	1	no	—
14	C₄	—	1369	1	no	Sylow
15	C₃	#19129958	1	1	yes	characteristic, direct product factor, Sylow
16	C₂	—	1369	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.