Subgroups — C₂²⋊#14582089 #24924648

Order 10768.

34 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14582089	C₂	1	2	yes	maximal, complemented
2	C₂²×D₆₇₃	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₆₇₃	C₄	1	1	yes	characteristic, complemented
4	C₂×D₆₇₃	—	2	2	no	—
5	C₂×D₆₇₃	C₄	1	1	yes	characteristic, complemented
6	C₂×D₆₇₃	C₂²	1	1	yes	characteristic
7	#14582089	—	2	2	no	—
8	C₂×C₆₇₃	—	2	1	no	—
9	C₂×C₆₇₃	C₂×C₄	1	1	yes	characteristic
10	D₆₇₃	—	2	1	no	—
11	D₆₇₃	D₄	1	2	yes	—
12	C₆₇₃	C₂²⋊C₄	1	1	yes	characteristic, complemented, Sylow
13	C₂²⋊C₄	—	673	1	no	maximal, Sylow
14	C₂³	—	673	1	no	—
15	C₂×C₄	—	673	2	no	—
16	C₂²	—	1346	2	no	—
17	C₂²	—	673	1	no	—
18	C₂²	—	673	1	no	—
19	C₂²	#14582089	1	1	yes	characteristic, complemented
20	C₄	—	1346	2	no	—
21	C₂	—	2	1	no	—
22	C₂	—	1346	1	no	—
23	C₂	—	673	2	no	—
24	C₂	C₂×#14582089	1	1	yes	characteristic

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