Subgroups — C₄×#14523722 #22554635

Order 8436.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14523722	C₂	1	1	yes	maximal, characteristic
2	C₄×C₁₉×C₃₇	C₃	1	1	yes	maximal, characteristic, complemented, Hall
3	#14523722	C₄	1	1	yes	characteristic, direct product factor, Hall
4	C₂×C₁₉×C₃₇	C₂×C₃	1	1	yes	characteristic
5	C₁₉×C₃₇	C₃×C₄	1	1	yes	characteristic, complemented, Hall
6	C₄×C₃₇⋊C₃	—	19	1	no	maximal, Hall
7	C₄×C₁₉⋊C₃	—	37	1	no	maximal, Hall
8	C₂×C₃₇⋊C₃	—	19	1	no	—
9	C₄×C₃₇	C₁₉⋊C₃	1	1	yes	characteristic, complemented, Hall
10	C₂×C₁₉⋊C₃	—	37	1	no	—
11	C₃₇⋊C₃	—	19	1	no	Hall
12	C₄×C₁₉	C₃₇⋊C₃	1	1	yes	characteristic, complemented, Hall
13	C₂×C₃₇	C₂×C₁₉⋊C₃	1	1	yes	characteristic
14	C₁₉⋊C₃	—	37	1	no	Hall
15	C₂×C₁₉	C₂×C₃₇⋊C₃	1	1	yes	characteristic
16	C₃₇	C₄×C₁₉⋊C₃	1	1	yes	characteristic, complemented, Sylow
17	C₁₉	C₄×C₃₇⋊C₃	1	1	yes	characteristic, complemented, Sylow
18	C₃×C₄	—	703	1	no	Hall
19	C₂×C₃	—	703	1	no	—
20	C₄	#14523722	1	1	yes	characteristic, direct product factor, Sylow
21	C₃	—	703	1	no	Sylow
22	C₂	C₂×#14523722	1	1	yes	characteristic

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