Subgroups — C₃×#26040107 #46828337

Order 34476.

192 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₁₇×C₁₃⋊D₁₃	C₂	1	1	yes	maximal, characteristic
2	#26040107	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₁₃²×C₁₇	C₄	1	1	yes	characteristic, complemented, Hall
4	C₁₇×C₁₃⋊D₁₃	C₂×C₃	1	1	yes	characteristic
5	C₁₃²×C₁₇	C₃×C₄	1	1	yes	characteristic, complemented, Hall
6	C₃×#11725132	—	13	14	no	maximal
7	C₃×#10621728	—	17	1	no	maximal, Hall
8	C₃×C₁₇×D₁₃	—	13	14	no	—
9	C₃×C₁₃⋊D₁₃	D₁₇	1	1	yes	characteristic
10	#11725132	—	13	14	no	—
11	#10621728	—	17	1	no	Hall
12	C₃×C₁₃×C₁₇	#261	1	14	yes	complemented
13	C₃×C₁₃²	Dic₁₇	1	1	yes	characteristic, complemented, Hall
14	C₁₇×D₁₃	—	13	14	no	—
15	C₁₃⋊D₁₃	C₃×D₁₇	1	1	yes	characteristic
16	C₁₃×C₁₇	C₃×#261	1	14	yes	complemented
17	C₃×Dic₁₇	—	169	1	no	Hall
18	C₁₃²	C₃×Dic₁₇	1	1	yes	characteristic, complemented, Sylow
19	C₃×#261	—	221	14	no	—
20	C₂×C₃×C₁₇	—	169	1	no	—
21	C₃×D₁₃	—	13	14	no	—
22	Dic₁₇	—	169	1	no	Hall
23	#261	—	221	14	no	—
24	C₃×C₁₇	#10621728	1	1	yes	characteristic, complemented, Hall
25	C₃×C₁₃	#11725132	1	14	yes	complemented
26	C₂×C₁₇	—	169	1	no	—
27	D₁₃	—	13	14	no	—
28	C₁₇	C₃×#10621728	1	1	yes	characteristic, complemented, Sylow
29	C₁₃	C₃×#11725132	1	14	yes	complemented
30	C₃×C₄	—	2873	1	no	Hall
31	C₂×C₃	—	169	1	no	—
32	C₄	—	2873	1	no	Sylow
33	C₃	#26040107	1	1	yes	characteristic, direct product factor, Sylow
34	C₂	—	169	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.