Finite Group Databasebeta

C2×#13095495 #15690815

order3104
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC2×#13095495

Splittings

SylowC97 ⋊ C2×M16

Subgroups

subgroupG/H
centerC2×C4C2×D97
commutatorC2×C97C22×C4
FrattiniC4C22×D97
FittingC22×C4×C97C2
socleC22×C97C2×C4
prime radicalC23×C97C4
cosocleC4×C97C23
hypercenterC22×C4D97
hypocenterC97C2×M16
LCSG ▷ C2×C97 ▷ C97
UCSC1 ◁ C2×C4 ◁ C22×C4

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1552

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3104, 151);