Finite Group Databasebeta

C2×Q8×D97 #15690849

order3104
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×Q8×D97

Splittings

FittingC2×Q8×C97 ⋊ C2
SylowC97 ⋊ C22×Q8

Subgroups

subgroupG/H
centerC22C22×D97
commutator, cosocleC2×C97C24
FrattiniC2C23×D97
FittingC2×Q8×C97C2
socleC22×C97C23
prime radicalC22×D97C22
hypercenterC2×Q8D97
hypocenterC97C22×Q8
LCSG ▷ C2×C97 ▷ C97
UCSC1 ◁ C22 ◁ C2×Q8

156 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1552

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3104, 185);