Subgroups — #14521981

Order 1998.

32 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11758605	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₃×D₃₇⋊C₃	C₃	1	1	yes	maximal, characteristic
3	C₉×D₃₇	C₃	1	1	yes	maximal, characteristic, complemented
4	#66524⋊C₂	C₃	1	2	yes	maximal, complemented
5	C₃×C₃₇⋊C₃	C₂×C₃	1	1	yes	characteristic
6	C₉×C₃₇	C₂×C₃	1	1	yes	characteristic, complemented
7	#66524	C₂×C₃	1	2	yes	complemented
8	C₃×D₃₇	C₃²	1	1	yes	characteristic
9	D₃₇⋊C₃	—	3	1	no	—
10	C₃×C₃₇	C₂×C₃²	1	1	yes	characteristic
11	C₃₇⋊C₃	—	3	1	no	—
12	D₃₇	3₋¹⁺²	1	1	yes	characteristic, complemented, Hall
13	C₂×3₋¹⁺²	—	37	1	no	maximal, Hall
14	C₃₇	C₂×3₋¹⁺²	1	1	yes	characteristic, complemented, Sylow
15	3₋¹⁺²	—	37	1	no	Sylow
16	C₂×C₃²	—	37	1	no	—
17	C₂×C₉	—	37	2	no	—
18	C₂×C₉	—	37	1	no	—
19	C₃²	—	37	1	no	—
20	C₉	—	37	2	no	—
21	C₉	D₃₇⋊C₃	1	1	yes	characteristic, complemented
22	C₂×C₃	—	37	1	no	—
23	C₂×C₃	—	111	1	no	—
24	C₃	—	111	1	no	—
25	C₃	C₃×D₃₇⋊C₃	1	1	yes	characteristic
26	C₂	—	37	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.