Finite Group Databasebeta

#485×D61 #21455707

order7808
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24

Aliases

direct product#485×D61

Splittings

FittingC61×#485 ⋊ C2
SylowC61 ⋊ C2×#485

Subgroups

subgroupG/H
centerC22C2×D4×D61
commutatorC2×C4×C61C24
FrattiniC2×C4C23×D61
FittingC61×#485C2
socleC22×C61C22×D4
hypercenter#485D61
hypocenterC61C2×#485
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #485

416 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

608 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofC2×#485×D61, D61×#3091, D61×#3093, …
maximal normal subgroup ofC2×#485×D61, D61×#3091, D61×#3093, …
maximal quotient ofD61×#1825, D61×#1854, D61×#1873, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7808, 14398);