Finite Group Databasebeta

C2×D9496 #49184265

order37984
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C23

Aliases

direct productC2×D9496

Splittings

FittingC2×C8×C1187 ⋊ C2
SylowC1187 ⋊ C2×D8

Subgroups

subgroupG/H
centerC22D4748
commutator, cosocleC4×C1187C23
FrattiniC4C22×D1187
FittingC2×C8×C1187C2
socleC22×C1187D4
hypercenterC2×C8D1187
hypocenterC1187C2×D8
LCSG ▷ C4×C1187 ▷ C2×C1187 ▷ C1187
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8

76 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 18992

Conjugacy classes & character table

9502 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37984, 157);