Finite Group Databasebeta

C2×#28380653 #43243552

order28096
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23

Aliases

direct productC2×#28380653

Splittings

SylowC439 ⋊ C2×#97

Subgroups

subgroupG/H
centerC22×C4C2×D439
commutatorC2×C439C2×C42
FrattiniC2×C4C22×D439
FittingC22×C8×C439C2
socle, prime radicalC23×C439C2×C4
cosocleC2×C4×C439C23
hypercenterC22×C8D439
hypocenterC439C2×#97
LCSG ▷ C2×C439 ▷ C439
UCSC1 ◁ C22×C4 ◁ C22×C8

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 28096

Conjugacy classes & character table

7048 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28096, 497);