Finite Group Databasebeta

C2×#29509161 #44526138

order30944
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×#29509161

Splittings

SylowC967 ⋊ C2×Q16

Subgroups

subgroupG/H
centerC22C22⋊D967
commutator, cosocleC4×C967C23
FrattiniC4C22×D967
FittingC2×Q8×C967C2
socle, prime radicalC22×C967D4
hypercenterC2×Q8D967
hypocenterC967C2×Q16
LCSG ▷ C4×C967 ▷ C2×C967 ▷ C967
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×Q8

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 30944

Conjugacy classes & character table

4844 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30944, 163);