Finite Group Databasebeta

C2×#14273725 #16837944

order3776
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#14273725

Splittings

SylowC59 ⋊ C2×C4⋊Q8

Subgroups

subgroupG/H
centerC23C22×D59
commutator, cosocleC22×C59C24
FrattiniC22C23×D59
FittingC22×Q8×C59C2
socle, prime radicalC23×C59C23
hypercenterC22×Q8D59
hypocenterC59C2×C4⋊Q8
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C22×Q8

290 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3776

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3776, 1091);