Subgroups — C₂×#14583829 #19149751

Order 5536.

28 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14583829	C₂	1	2	yes	maximal, direct product factor
2	C₂×#13063436	C₂	1	1	yes	maximal, characteristic
3	#13063436	C₄	1	1	yes	characteristic
4	#13063436	C₂²	1	1	yes	characteristic
5	C₂×C₄×C₁₇₃	C₄	1	1	yes	characteristic
6	C₂²×C₁₇₃	C₈	1	1	yes	characteristic
7	C₄×C₁₇₃	C₈	1	1	yes	characteristic
8	C₄×C₁₇₃	C₂×C₄	1	1	yes	characteristic
9	C₂×C₁₇₃	C₁₆	1	2	yes	complemented
10	C₂×C₁₇₃	C₂×C₈	1	1	yes	characteristic
11	C₁₇₃	C₂×C₁₆	1	1	yes	characteristic, complemented, Sylow
12	C₂×C₁₆	—	173	1	no	maximal, Sylow
13	C₂×C₈	—	173	1	no	—
14	C₁₆	—	173	2	no	—
15	C₂×C₄	#10621924	1	1	yes	characteristic
16	C₈	—	173	1	no	—
17	C₈	—	173	1	no	—
18	C₂²	#13063443	1	1	yes	characteristic
19	C₄	#13063443	1	1	yes	characteristic
20	C₄	C₂×#10621924	1	1	yes	characteristic
21	C₂	#14583829	1	2	yes	direct product factor
22	C₂	C₂×#13063443	1	1	yes	characteristic

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