Subgroups — D₆₉₇₆ #28361245

Order 13952.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₃₄₈₈	C₂	1	2	yes	maximal, complemented
2	C₆₄×C₁₀₉	C₂	1	1	yes	maximal, characteristic, complemented
3	D₁₇₄₄	—	2	2	no	—
4	C₃₂×C₁₀₉	C₂²	1	1	yes	characteristic
5	D₈₇₂	—	4	2	no	—
6	C₁₆×C₁₀₉	D₄	1	1	yes	characteristic
7	D₄₃₆	—	8	2	no	—
8	C₈×C₁₀₉	D₈	1	1	yes	characteristic
9	C₂×D₁₀₉	—	16	2	no	—
10	C₄×C₁₀₉	D₁₆	1	1	yes	characteristic
11	C₂×C₁₀₉	D₃₂	1	1	yes	characteristic
12	D₁₀₉	—	32	2	no	—
13	D₆₄	—	109	1	no	maximal, Sylow
14	C₁₀₉	D₆₄	1	1	yes	characteristic, complemented, Sylow
15	D₃₂	—	109	2	no	—
16	C₆₄	D₁₀₉	1	1	yes	characteristic, complemented
17	D₁₆	—	218	2	no	—
18	C₃₂	C₂×D₁₀₉	1	1	yes	characteristic
19	D₈	—	436	2	no	—
20	C₁₆	D₄₃₆	1	1	yes	characteristic
21	D₄	—	872	2	no	—
22	C₈	D₈₇₂	1	1	yes	characteristic
23	C₂²	—	1744	2	no	—
24	C₄	D₁₇₄₄	1	1	yes	characteristic
25	C₂	—	3488	2	no	—
26	C₂	D₃₄₈₈	1	1	yes	characteristic

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

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.