Finite Group Databasebeta

C2×C8×Dic302 #34078031

order19328
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productC2×C8×Dic302

Splittings

SylowC151 ⋊ C2×C8×Q8

Subgroups

subgroupG/H
centerC22×C8C2×D151
commutatorC2×C151C23×C8
FrattiniC2×C4C23×D151
FittingC2×C4×C8×C151C2
socle, prime radicalC23×C151C22×C4
cosocleC2×C4×C151C24
hypercenterC2×C4×C8D151
hypocenterC151C2×C8×Q8
LCSG ▷ C2×C151 ▷ C151
UCSC1 ◁ C22×C8 ◁ C2×C4×C8

440 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 19328

Conjugacy classes & character table

4880 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19328, 13431);