Subgroups — #24924642

Order 10768.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Dic₁₃₄₆	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²⋊D₆₇₃	C₂	1	2	yes	maximal, complemented
3	C₂×Dic₆₇₃	C₂	1	2	yes	maximal, complemented
4	C₄×D₆₇₃	C₂	1	1	yes	maximal, characteristic, complemented
5	D₄×C₆₇₃	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×C₆₇₃	C₂²	1	2	yes	—
7	C₂×D₆₇₃	C₂²	1	1	yes	characteristic
8	C₄×C₆₇₃	C₂²	1	1	yes	characteristic
9	Dic₆₇₃	C₂²	1	1	yes	characteristic
10	Dic₆₇₃	C₂²	1	2	yes	—
11	C₂×C₆₇₃	—	2	2	no	—
12	C₂×C₆₇₃	C₂³	1	1	yes	characteristic
13	D₆₇₃	—	2	1	no	—
14	C₆₇₃	#41	1	1	yes	characteristic, complemented, Sylow
15	#41	—	673	1	no	maximal, Sylow
16	Q₈	—	673	1	no	—
17	D₄	—	673	2	no	—
18	D₄	D₆₇₃	1	1	yes	characteristic, complemented
19	C₂×C₄	—	673	2	no	—
20	C₂×C₄	—	673	1	no	—
21	C₂²	—	673	1	no	—
22	C₂²	C₂×D₆₇₃	1	2	yes	—
23	C₄	—	673	1	no	—
24	C₄	—	673	2	no	—
25	C₄	C₂×D₆₇₃	1	1	yes	characteristic
26	C₂	—	2	2	no	—
27	C₂	—	1346	1	no	—
28	C₂	C₂²×D₆₇₃	1	1	yes	characteristic

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