Finite Group Databasebeta

C2×#28417944 #44470558

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

Aliases

direct productC2×#28417944

Splittings

SylowC467 ⋊ C2×#125

Subgroups

subgroupG/H
centerC23C22×D467
commutator, cosocleC22×C467C24
FrattiniC22C23×D467
FittingC2×C4⋊C4×C467C2
socle, prime radicalC23×C467C23
hypercenterC2×C4⋊C4D467
hypocenterC467C2×#125
LCSG ▷ C22×C467 ▷ C467
UCSC1 ◁ C23 ◁ C2×C4⋊C4

226 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 29888

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, 1070);