Subgroups — C₄×#14272347 #21418626

Order 7456.

44 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	C₄	1	4	yes	direct product factor
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	C₈	1	2	yes	complemented
9	#11745400	C₂×C₄	1	2	yes	—
10	C₄×C₂₃₃	C₈	1	1	yes	characteristic, complemented
11	Dic₂₃₃	C₈	1	1	yes	characteristic, complemented
12	C₂×C₂₃₃	C₂×C₈	1	1	yes	characteristic
13	D₂₃₃	C₄²	1	1	yes	characteristic
14	D₂₃₃	C₂×C₈	1	1	yes	characteristic
15	C₂₃₃	C₄×C₈	1	1	yes	characteristic, complemented, Sylow
16	C₄×C₈	—	233	1	no	maximal, Sylow
17	C₂×C₈	—	233	2	no	—
18	C₄²	—	233	1	no	—
19	C₂×C₄	—	233	1	no	—
20	C₂×C₄	—	233	1	no	—
21	C₂×C₄	—	233	1	no	—
22	C₈	—	233	4	no	—
23	C₂²	—	233	1	no	—
24	C₄	—	233	2	no	—
25	C₄	—	233	2	no	—
26	C₄	—	233	1	no	—
27	C₄	#14272347	1	1	yes	characteristic, direct product factor
28	C₂	—	233	1	no	—
29	C₂	—	233	1	no	—
30	C₂	C₂×#14272347	1	1	yes	characteristic

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