Subgroups — C₄₃×#10597480 #39911684

Order 26316.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₇×C₃⋊D₃×C₄₃	C₂	1	1	yes	maximal, characteristic
2	C₃²×C₁₇×C₄₃	C₄	1	1	yes	characteristic, complemented, Hall
3	D₃×C₁₇×C₄₃	—	6	2	no	—
4	C₄₃×Dic₁₇	—	9	1	no	maximal, Hall
5	C₃×C₁₇×C₄₃	—	2	2	no	—
6	#157×C₄₃	—	17	1	no	maximal, Hall
7	C₂×C₁₇×C₄₃	—	9	1	no	—
8	C₃⋊D₃×C₄₃	D₁₇	1	1	yes	characteristic
9	C₁₇×C₄₃	#157	1	1	yes	characteristic, complemented, Hall
10	#10597480	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Hall
11	C₃²×C₄₃	Dic₁₇	1	1	yes	characteristic, complemented, Hall
12	C₁₇×C₃⋊D₃	C₂×C₄₃	1	1	yes	characteristic
13	D₃×C₄₃	—	6	2	no	—
14	C₄×C₄₃	—	153	1	no	Hall
15	C₃²×C₁₇	C₄×C₄₃	1	1	yes	characteristic, complemented, Hall
16	C₃×C₄₃	—	2	2	no	—
17	D₃×C₁₇	—	6	2	no	—
18	C₂×C₄₃	—	9	1	no	—
19	Dic₁₇	—	9	1	no	Hall
20	C₃×C₁₇	—	2	2	no	—
21	C₄₃	#10597480	1	1	yes	characteristic, direct product factor, Sylow
22	#157	—	17	1	no	Hall
23	C₂×C₁₇	—	9	1	no	—
24	C₃⋊D₃	D₁₇×C₄₃	1	1	yes	characteristic
25	C₁₇	#157×C₄₃	1	1	yes	characteristic, complemented, Sylow
26	C₃²	C₄₃×Dic₁₇	1	1	yes	characteristic, complemented, Sylow
27	D₃	—	6	2	no	—
28	C₄	—	153	1	no	Sylow
29	C₃	—	2	2	no	—
30	C₂	—	9	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.