Finite Group Databasebeta

C4×Q8×D43 #14583362

order2752
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC4×Q8×D43

Splittings

FittingC4×Q8×C43 ⋊ C2
SylowC43 ⋊ C2×C4×Q8

Subgroups

subgroupG/H
centerC2×C4C22×D43
commutatorC2×C43C23×C4
FrattiniC22C23×D43
FittingC4×Q8×C43C2
socle, cosocleC22×C43C24
prime radicalC22×D43C23
hypercenterC4×Q8D43
hypocenterC43C2×C4×Q8
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C4×Q8

298 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1376

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2752, 1012);