Subgroups — C₂×C₈₃×#4296 #43249113

Order 28386.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₃×#4296	C₂	1	1	yes	maximal, characteristic, direct product factor, Hall
2	C₂×C₁₉⋊C₃×C₈₃	C₃	1	1	yes	maximal, characteristic
3	C₁₉⋊C₃×C₈₃	C₂×C₃	1	1	yes	characteristic
4	C₂×C₁₉×C₈₃	C₉	1	1	yes	characteristic, complemented, Hall
5	C₁₉×C₈₃	C₂×C₉	1	1	yes	characteristic, complemented, Hall
6	C₂×C₉×C₈₃	—	19	1	no	maximal, Hall
7	C₉×C₈₃	—	19	1	no	Hall
8	C₂×C₃×C₈₃	—	19	1	no	—
9	C₂×#4296	C₈₃	1	1	yes	maximal, characteristic, direct product factor, Hall
10	C₃×C₈₃	—	19	1	no	—
11	#4296	C₂×C₈₃	1	1	yes	characteristic, direct product factor, Hall
12	C₂×C₈₃	#4296	1	1	yes	characteristic, direct product factor, Hall
13	C₂×C₁₉⋊C₃	C₃×C₈₃	1	1	yes	characteristic
14	C₈₃	C₂×#4296	1	1	yes	characteristic, direct product factor, Sylow
15	C₁₉⋊C₃	C₂×C₃×C₈₃	1	1	yes	characteristic
16	C₂×C₁₉	C₉×C₈₃	1	1	yes	characteristic, complemented, Hall
17	C₁₉	C₂×C₉×C₈₃	1	1	yes	characteristic, complemented, Sylow
18	C₂×C₉	—	19	1	no	Hall
19	C₉	—	19	1	no	Sylow
20	C₂×C₃	—	19	1	no	—
21	C₃	—	19	1	no	—
22	C₂	C₈₃×#4296	1	1	yes	characteristic, direct product factor, 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.