Finite Group Databasebeta

C4×C8×D467 #44469981

order29888
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct productC4×C8×D467

Splittings

FittingC4×C8×C467 ⋊ C2
derived, SylowC467 ⋊ C2×C4×C8

Subgroups

subgroupG/H
center, hypercenterC4×C8D467
commutator, hypocenterC467C2×C4×C8
FrattiniC2×C4C22×D467
FittingC4×C8×C467C2
socleC22×C467C22×C4
prime radicalC22×D467C2×C4
cosocleC2×C4×C467C23
LCSG ▷ C467
UCSC1 ◁ C4×C8

162 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14944

Conjugacy classes & character table

7520 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29888, 493);