Finite Group Databasebeta

#444×D113 #28399466

order14464
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct product#444×D113

Splittings

Fitting#444×C113 ⋊ C2
SylowC113 ⋊ C2×#444

Subgroups

subgroupG/H
centerC4C2×D4×D113
commutatorC4×C113C23×C4
FrattiniC2×C4C23×D113
Fitting#444×C113C2
socleC2×C113C2×C4×D4
prime radical#135×D113C2
cosocleC2×C4×C113C24
hypercenter#444D113
hypocenterC113C2×#444
LCSG ▷ C4×C113 ▷ C2×C113 ▷ C113
UCSC1 ◁ C4 ◁ C2×C8 ◁ #444

464 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1808

Conjugacy classes & character table

1276 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 13402);