Finite Group Databasebeta

C2×#28417942 #44470555

order29888
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#28417942

Splittings

FittingC22×Q8×C467 ⋊ C2
SylowC467 ⋊ C2×#124

Subgroups

subgroupG/H
centerC23C22×D467
commutator, cosocleC22×C467C24
FrattiniC22C23×D467
FittingC22×Q8×C467C2
socleC23×C467C23
prime radicalC22×D1868C2
hypercenterC22×Q8D467
hypocenterC467C2×#124
LCSG ▷ C22×C467 ▷ C467
UCSC1 ◁ C23 ◁ C22×Q8

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14944

Conjugacy classes & character table

4688 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29888, 1067);