Subgroups — C₂×C₃²×C₄₃⋊C₇ #19129366

Order 5418.

48 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×C₄₃⋊C₇	C₂	1	1	yes	maximal, characteristic, direct product factor, Hall
2	C₂×C₃×C₄₃⋊C₇	C₃	1	4	yes	maximal, direct product factor
3	C₃×C₄₃⋊C₇	C₂×C₃	1	4	yes	direct product factor
4	C₂×C₃²×C₄₃	C₇	1	1	yes	maximal, characteristic, complemented, Hall
5	C₂×C₄₃⋊C₇	C₃²	1	1	yes	characteristic, direct product factor, Hall
6	C₃²×C₄₃	C₂×C₇	1	1	yes	characteristic, complemented, Hall
7	C₄₃⋊C₇	C₂×C₃²	1	1	yes	characteristic, direct product factor, Hall
8	C₂×C₃×C₄₃	C₃×C₇	1	4	yes	complemented
9	C₃×C₄₃	C₂×C₃×C₇	1	4	yes	complemented
10	C₂×C₃²×C₇	—	43	1	no	maximal, Hall
11	C₂×C₄₃	C₃²×C₇	1	1	yes	characteristic, complemented, Hall
12	C₃²×C₇	—	43	1	no	Hall
13	C₄₃	C₂×C₃²×C₇	1	1	yes	characteristic, complemented, Sylow
14	C₂×C₃×C₇	—	43	4	no	—
15	C₃×C₇	—	43	4	no	—
16	C₂×C₃²	C₄₃⋊C₇	1	1	yes	characteristic, direct product factor, Hall
17	C₂×C₇	—	43	1	no	Hall
18	C₃²	C₂×C₄₃⋊C₇	1	1	yes	characteristic, direct product factor, Sylow
19	C₇	—	43	1	no	Sylow
20	C₂×C₃	C₃×C₄₃⋊C₇	1	4	yes	direct product factor
21	C₃	C₂×C₃×C₄₃⋊C₇	1	4	yes	direct product factor
22	C₂	C₃²×C₄₃⋊C₇	1	1	yes	characteristic, direct product factor, Sylow

Splittings G = N ⋊ H with N normal; H ≅ G/N.