Finite Group Databasebeta

C2×#21418631 #28417553

order14912
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C22

Aliases

direct productC2×#21418631

Splittings

SylowC233 ⋊ C2×M32

Subgroups

subgroupG/H
centerC22C2×#14272347
commutatorC2×C233C22×C8
FrattiniC2C22×#14272347
Fitting, prime radicalC23×C233C8
socleC22×C233C2×C8
cosocle#14272345C23
hypercenterC23#14272347
hypocenterC233C2×M32
LCSG ▷ C2×C233 ▷ C233
UCSC1 ◁ C22 ◁ C23

90 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7456

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14912, 1667);