Subgroups — C₁₁×C₁₇×#4296 #44544266

Order 31977.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×C₁₇×C₁₉⋊C₃	C₃	1	1	yes	maximal, characteristic
2	C₁₁×C₁₇×C₁₉	C₉	1	1	yes	characteristic, complemented, Hall
3	C₁₇×#4296	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₁₁×#4296	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₉×C₁₁×C₁₇	—	19	1	no	maximal, Hall
6	C₁₇×C₁₉⋊C₃	C₃×C₁₁	1	1	yes	characteristic
7	C₁₁×C₁₉⋊C₃	C₃×C₁₇	1	1	yes	characteristic
8	C₃×C₁₁×C₁₇	—	19	1	no	—
9	C₁₇×C₁₉	C₉×C₁₁	1	1	yes	characteristic, complemented, Hall
10	C₁₁×C₁₉	C₉×C₁₇	1	1	yes	characteristic, complemented, Hall
11	C₁₁×C₁₇	#4296	1	1	yes	characteristic, direct product factor, Hall
12	#4296	C₁₁×C₁₇	1	1	yes	characteristic, direct product factor, Hall
13	C₉×C₁₇	—	19	1	no	Hall
14	C₉×C₁₁	—	19	1	no	Hall
15	C₁₉⋊C₃	C₃×C₁₁×C₁₇	1	1	yes	characteristic
16	C₃×C₁₇	—	19	1	no	—
17	C₃×C₁₁	—	19	1	no	—
18	C₁₉	C₉×C₁₁×C₁₇	1	1	yes	characteristic, complemented, Sylow
19	C₁₇	C₁₁×#4296	1	1	yes	characteristic, direct product factor, Sylow
20	C₁₁	C₁₇×#4296	1	1	yes	characteristic, direct product factor, Sylow
21	C₉	—	19	1	no	Sylow
22	C₃	—	19	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.