Finite Group Databasebeta

C2×#28417947 #44470562

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

Aliases

direct productC2×#28417947

Splittings

FittingC2×C42×C467 ⋊ C2
SylowC467 ⋊ C2×#126

Subgroups

subgroupG/H
centerC23C22×D467
commutator, cosocleC22×C467C24
FrattiniC22C23×D467
FittingC2×C42×C467C2
socleC23×C467C23
prime radicalC23×D467C22
hypercenterC2×C42D467
hypocenterC467C2×#126
LCSG ▷ C22×C467 ▷ C467
UCSC1 ◁ C23 ◁ C2×C42

246 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14944

Conjugacy classes & character table

7484 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29888, 1074);