Subgroups — C₄⋊#14272347 #21418628

Order 7456.

38 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14272347	C₂	1	2	yes	maximal
2	C₄×#11745400	C₂	1	1	yes	maximal, characteristic
3	#14272347	—	2	2	no	—
4	C₂×#11745400	C₄	1	1	yes	characteristic
5	C₂×#11745400	C₂²	1	1	yes	characteristic
6	C₄×D₂₃₃	C₄	1	1	yes	characteristic
7	C₂×D₂₃₃	C₂×C₄	1	1	yes	characteristic
8	#11745400	—	2	1	no	—
9	#11745400	D₄	1	1	yes	characteristic
10	#11745400	Q₈	1	1	yes	characteristic
11	C₄×C₂₃₃	C₈	1	1	yes	characteristic, complemented
12	Dic₂₃₃	C₈	1	1	yes	characteristic, complemented
13	C₂×C₂₃₃	C₂×C₈	1	1	yes	characteristic
14	D₂₃₃	C₄⋊C₄	1	1	yes	characteristic
15	D₂₃₃	M₁₆	1	1	yes	characteristic
16	C₂₃₃	C₄⋊C₈	1	1	yes	characteristic, complemented, Sylow
17	C₄⋊C₈	—	233	1	no	maximal, Sylow
18	C₂×C₈	—	233	2	no	—
19	C₄²	—	233	1	no	—
20	C₂×C₄	—	233	1	no	—
21	C₂×C₄	—	233	1	no	—
22	C₂×C₄	—	233	1	no	—
23	C₈	—	466	2	no	—
24	C₂²	—	233	1	no	—
25	C₄	—	466	1	no	—
26	C₄	—	233	1	no	—
27	C₄	—	233	1	no	—
28	C₄	—	233	1	no	—
29	C₄	#14272347	1	1	yes	characteristic, complemented
30	C₂	—	233	1	no	—
31	C₂	—	233	1	no	—
32	C₂	C₂×#14272347	1	1	yes	characteristic

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