Subgroups — #44532259

Order 31347.

290 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₃⋊#6855	C₃	1	12	yes	maximal
2	C₃×C₉²×C₄₃	C₃	1	1	yes	maximal, characteristic
3	C₃²×C₄₃⋊C₉	C₃²	1	9	yes	—
4	C₃²×C₉×C₄₃	C₃²	1	4	yes	—
5	C₉²×C₄₃	C₉	1	9	yes	complemented
6	C₃×C₄₃⋊C₉	—	3	36	no	—
7	C₃³×C₄₃	C₃³	1	1	yes	characteristic
8	C₃×C₉×C₄₃	—	3	12	no	—
9	C₃×C₉×C₄₃	C₃×C₉	1	12	yes	—
10	#10624551	—	43	1	no	maximal, Sylow
11	C₃²×C₄₃	C₃²×C₉	1	1	yes	characteristic
12	C₃²×C₄₃	#737	1	12	yes	—
13	C₉×C₄₃	—	3	12	no	—
14	C₄₃⋊C₉	—	9	9	no	—
15	C₃×C₉²	C₄₃⋊C₃	1	1	yes	characteristic
16	#6855	—	43	12	no	—
17	C₃×C₄₃	#6887	1	4	yes	—
18	C₃×C₄₃	#6897	1	9	yes	—
19	C₃²×C₉	—	43	9	no	—
20	C₃²×C₉	C₃×C₄₃⋊C₃	1	4	yes	—
21	C₉²	C₄₃⋊C₉	1	9	yes	complemented
22	C₄₃	#10624551	1	1	yes	characteristic, complemented, Sylow
23	C₃³	C₃²×C₄₃⋊C₃	1	1	yes	characteristic
24	C₃×C₉	—	3	12	no	—
25	C₃×C₉	—	129	36	no	—
26	C₃×C₉	C₃×C₄₃⋊C₉	1	12	yes	—
27	C₃²	C₃²×C₄₃⋊C₉	1	1	yes	characteristic
28	C₃²	#16812525	1	12	yes	—
29	C₉	—	3	12	no	—
30	C₉	—	387	9	no	—
31	C₃	#23782782	1	4	yes	—
32	C₃	#23782830	1	9	yes	—

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.