Finite Group Databasebeta

C4×Q8×D467 #44470500

order29888
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC4×Q8×D467

Splittings

FittingC4×Q8×C467 ⋊ C2
SylowC467 ⋊ C2×C4×Q8

Subgroups

subgroupG/H
centerC2×C4C22×D467
commutatorC2×C467C23×C4
FrattiniC22C23×D467
FittingC4×Q8×C467C2
socle, cosocleC22×C467C24
prime radicalC22×D467C23
hypercenterC4×Q8D467
hypocenterC467C2×C4×Q8
LCSG ▷ C2×C467 ▷ C467
UCSC1 ◁ C2×C4 ◁ C4×Q8

298 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14944

Conjugacy classes & character table

4700 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29888, 1012);