Finite Group Databasebeta

C2×#20299656 #28407538

order14464
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productC2×#20299656

Splittings

SylowC113 ⋊ C2×#504

Subgroups

subgroupG/H
centerC2×C4C22×#90673
commutatorC2×C113C23×C8
FrattiniC4C23×#90673
Fitting, prime radicalC2×#41×C113C4
socleC22×C113C22×C8
cosocle#11744751C24
hypercenterC2×#41#90673
hypocenterC113C2×#504
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C2×C4 ◁ C2×#41

368 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 21474);