Subgroups — C₄⋊Dic₁₈₇₃ #44472011

Order 29968.

26 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×Dic₁₈₇₃	C₂	1	2	yes	maximal
2	C₂×C₄×C₁₈₇₃	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₁₈₇₃	C₂²	1	1	yes	characteristic
4	C₄×C₁₈₇₃	C₄	1	2	yes	complemented
5	Dic₁₈₇₃	—	2	2	no	—
6	C₂×C₁₈₇₃	C₂×C₄	1	1	yes	characteristic
7	C₂×C₁₈₇₃	D₄	1	1	yes	characteristic
8	C₂×C₁₈₇₃	Q₈	1	1	yes	characteristic
9	C₁₈₇₃	C₄⋊C₄	1	1	yes	characteristic, complemented, Sylow
10	C₄⋊C₄	—	1873	1	no	maximal, Sylow
11	C₂×C₄	—	1873	2	no	—
12	C₂×C₄	D₁₈₇₃	1	1	yes	characteristic
13	C₂²	C₂×D₁₈₇₃	1	1	yes	characteristic
14	C₄	—	3746	2	no	—
15	C₄	Dic₁₈₇₃	1	2	yes	complemented
16	C₂	C₂×Dic₁₈₇₃	1	1	yes	characteristic
17	C₂	D₇₄₉₂	1	1	yes	characteristic
18	C₂	Dic₃₇₄₆	1	1	yes	characteristic

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.