Subgroups — C₂²×#13095525 #20261867

Order 6208.

98 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13095525	C₂	1	6	yes	maximal, direct product factor
2	C₂²×#11715906	C₂	1	1	yes	maximal, characteristic
3	#13095525	C₂²	1	4	yes	direct product factor
4	C₂×#11715906	C₄	1	3	yes	—
5	C₂×#11715906	C₂²	1	3	yes	—
6	C₂²×#87604	C₄	1	1	yes	characteristic
7	C₂²×D₉₇	C₈	1	1	yes	characteristic
8	C₂×#87604	C₈	1	3	yes	—
9	C₂×#87604	C₂×C₄	1	3	yes	—
10	#11715906	C₂×C₄	1	3	yes	—
11	#11715906	C₂³	1	1	yes	characteristic
12	C₂²×C₉₇	C₁₆	1	1	yes	characteristic, complemented
13	C₂×D₉₇	C₁₆	1	3	yes	complemented
14	C₂×D₉₇	C₂×C₈	1	3	yes	—
15	#87604	C₂×C₈	1	3	yes	—
16	#87604	C₂²×C₄	1	1	yes	characteristic
17	C₂×C₉₇	C₂×C₁₆	1	3	yes	complemented
18	D₉₇	C₂×C₁₆	1	3	yes	complemented
19	D₉₇	C₂²×C₈	1	1	yes	characteristic
20	C₉₇	C₂²×C₁₆	1	1	yes	characteristic, complemented, Sylow
21	C₂²×C₁₆	—	97	1	no	maximal, Sylow
22	C₂²×C₈	—	97	1	no	—
23	C₂×C₁₆	—	97	6	no	—
24	C₂²×C₄	—	97	1	no	—
25	C₂×C₈	—	97	3	no	—
26	C₂×C₈	—	97	3	no	—
27	C₁₆	—	97	4	no	—
28	C₂³	—	97	1	no	—
29	C₂×C₄	—	97	3	no	—
30	C₂×C₄	—	97	3	no	—
31	C₈	—	97	1	no	—
32	C₈	—	97	3	no	—
33	C₂²	—	97	3	no	—
34	C₂²	—	97	3	no	—
35	C₂²	#13095525	1	1	yes	characteristic, direct product factor
36	C₄	—	97	1	no	—
37	C₄	—	97	3	no	—
38	C₂	—	97	1	no	—
39	C₂	—	97	3	no	—
40	C₂	C₂×#13095525	1	3	yes	direct product factor

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