Subgroups — C₂×C₂₉×D₄₉ #19150968

Order 5684.

30 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×D₄₉	C₂	1	2	yes	maximal, direct product factor
2	C₂×C₂₉×C₄₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂₉×C₄₉	C₂²	1	1	yes	characteristic, complemented, Hall
4	C₂×D₇×C₂₉	—	7	1	no	maximal
5	C₂×C₇×C₂₉	D₇	1	1	yes	characteristic
6	D₇×C₂₉	—	7	2	no	—
7	C₇×C₂₉	C₂×D₇	1	1	yes	characteristic
8	C₂×D₄₉	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Hall
9	C₂²×C₂₉	—	49	1	no	Hall
10	C₂×C₄₉	C₂×C₂₉	1	1	yes	characteristic, complemented
11	D₄₉	C₂×C₂₉	1	2	yes	direct product factor
12	C₂×C₂₉	—	49	2	no	—
13	C₂×C₂₉	D₄₉	1	1	yes	characteristic, direct product factor
14	C₄₉	C₂²×C₂₉	1	1	yes	characteristic, complemented, Sylow
15	C₂₉	C₂×D₄₉	1	1	yes	characteristic, direct product factor, Sylow
16	C₂×D₇	—	7	1	no	—
17	C₂×C₇	D₇×C₂₉	1	1	yes	characteristic
18	D₇	—	7	2	no	—
19	C₇	C₂×D₇×C₂₉	1	1	yes	characteristic
20	C₂²	—	49	1	no	Sylow
21	C₂	—	49	2	no	—
22	C₂	C₂₉×D₄₉	1	1	yes	characteristic, direct product factor

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