Subgroups — C₈×Dic₆₁₉ #34090261

Order 19808.

44 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₆₁₉⋊C₈	C₂	1	1	yes	maximal, characteristic
2	C₄×Dic₆₁₉	C₂	1	1	yes	maximal, characteristic
3	C₂×C₈×C₆₁₉	C₂	1	1	yes	maximal, characteristic
4	C₂×Dic₆₁₉	C₄	1	2	yes	—
5	C₆₁₉⋊C₈	C₄	1	2	yes	complemented
6	C₂×C₄×C₆₁₉	C₂²	1	1	yes	characteristic
7	C₈×C₆₁₉	C₄	1	2	yes	complemented
8	C₂²×C₆₁₉	C₂×C₄	1	1	yes	characteristic
9	C₄×C₆₁₉	C₂×C₄	1	1	yes	characteristic
10	C₄×C₆₁₉	C₂×C₄	1	1	yes	characteristic
11	Dic₆₁₉	C₈	1	4	yes	direct product factor
12	C₂×C₆₁₉	C₄²	1	1	yes	characteristic
13	C₂×C₆₁₉	C₂×C₈	1	2	yes	—
14	C₆₁₉	C₄×C₈	1	1	yes	characteristic, complemented, Sylow
15	C₄×C₈	—	619	1	no	maximal, Sylow
16	C₂×C₈	—	619	1	no	—
17	C₂×C₈	D₆₁₉	1	1	yes	characteristic
18	C₄²	—	619	1	no	—
19	C₂×C₄	—	619	2	no	—
20	C₂×C₄	C₂×D₆₁₉	1	1	yes	characteristic
21	C₈	—	619	2	no	—
22	C₈	Dic₆₁₉	1	2	yes	direct product factor
23	C₂²	C₄×D₆₁₉	1	1	yes	characteristic
24	C₄	—	619	4	no	—
25	C₄	C₄×D₆₁₉	1	1	yes	characteristic
26	C₄	C₂×Dic₆₁₉	1	1	yes	characteristic
27	C₂	C₄×Dic₆₁₉	1	1	yes	characteristic
28	C₂	C₈×D₆₁₉	1	2	yes	—

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.