Finite Group Databasebeta

C2×Q8×Dic479 #44500861

order30656
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×Q8×Dic479

Splittings

SylowC479 ⋊ C2×C4×Q8

Subgroups

subgroupG/H
centerC23C22×D479
commutatorC2×C479C23×C4
FrattiniC22C23×D479
FittingC22×Q8×C479C2
socle, prime radicalC23×C479C23
cosocleC22×C479C24
hypercenterC22×Q8D479
hypocenterC479C2×C4×Q8
LCSG ▷ C2×C479 ▷ C479
UCSC1 ◁ C23 ◁ C22×Q8

298 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 30656

Conjugacy classes & character table

4820 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30656, 1015);