Subgroups — C₂×#4294⋊C₂ #10621806

Order 684.

30 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#4294	C₂	1	1	yes	maximal, characteristic, complemented
2	#4294⋊C₂	C₂	1	2	yes	maximal, direct product factor
3	C₂×C₃×D₁₉	C₃	1	1	yes	maximal, characteristic
4	#4294	C₂²	1	1	yes	characteristic, complemented, Hall
5	C₂×C₃×C₁₉	C₂×C₃	1	1	yes	characteristic
6	C₃×D₁₉	C₂×C₃	1	2	yes	—
7	C₂×D₁₉	C₉	1	1	yes	characteristic, complemented, Hall
8	C₃×C₁₉	C₂²×C₃	1	1	yes	characteristic
9	C₂×C₁₉	C₂×C₉	1	1	yes	characteristic, complemented
10	D₁₉	C₂×C₉	1	2	yes	complemented
11	C₂²×C₉	—	19	1	no	maximal, Hall
12	C₁₉	C₂²×C₉	1	1	yes	characteristic, complemented, Sylow
13	C₂×C₉	—	19	2	no	—
14	C₂×C₉	—	19	1	no	—
15	C₂²×C₃	—	19	1	no	—
16	C₉	—	19	1	no	Sylow
17	C₂×C₃	—	19	2	no	—
18	C₂×C₃	D₁₉⋊C₃	1	1	yes	characteristic
19	C₂²	—	19	1	no	Sylow
20	C₃	C₂×D₁₉⋊C₃	1	1	yes	characteristic
21	C₂	—	19	2	no	—
22	C₂	#4294⋊C₂	1	1	yes	characteristic, direct product factor

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.