Subgroups — C₂×#19129160 #24924897

Order 10784.

28 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19129160	C₂	1	2	yes	maximal, direct product factor
2	C₂×C₈×C₃₃₇	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×C₃₃₇	C₄	1	1	yes	characteristic
4	C₈×C₃₃₇	C₄	1	1	yes	characteristic
5	C₈×C₃₃₇	C₂²	1	1	yes	characteristic
6	C₂²×C₃₃₇	C₈	1	1	yes	characteristic
7	C₄×C₃₃₇	C₈	1	1	yes	characteristic
8	C₄×C₃₃₇	C₂×C₄	1	1	yes	characteristic
9	C₂×C₃₃₇	C₁₆	1	2	yes	complemented
10	C₂×C₃₃₇	C₂×C₈	1	1	yes	characteristic
11	C₃₃₇	C₂×C₁₆	1	1	yes	characteristic, complemented, Sylow
12	C₂×C₁₆	—	337	1	no	maximal, Sylow
13	C₂×C₈	D₃₃₇	1	1	yes	characteristic
14	C₁₆	—	337	2	no	—
15	C₂×C₄	Dic₃₃₇	1	1	yes	characteristic
16	C₈	Dic₃₃₇	1	1	yes	characteristic
17	C₈	C₂×D₃₃₇	1	1	yes	characteristic
18	C₂²	#14582106	1	1	yes	characteristic
19	C₄	#14582106	1	1	yes	characteristic
20	C₄	C₂×Dic₃₃₇	1	1	yes	characteristic
21	C₂	#19129160	1	2	yes	direct product factor
22	C₂	C₂×#14582106	1	1	yes	characteristic

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