Finite Group Databasebeta

C2×D824 #15693032

order3296
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C23

Aliases

direct productC2×D824

Splittings

FittingC2×C8×C103 ⋊ C2
SylowC103 ⋊ C2×D8

Subgroups

subgroupG/H
centerC22D412
commutator, cosocleC4×C103C23
FrattiniC4C22×D103
FittingC2×C8×C103C2
socleC22×C103D4
hypercenterC2×C8D103
hypocenterC103C2×D8
LCSG ▷ C4×C103 ▷ C2×C103 ▷ C103
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8

76 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1648

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3296, 157);