Finite Group Databasebeta

#107×D443 #43247749

order28352
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct product#107×D443

Splittings

Fitting#107×C443 ⋊ C2
SylowC443 ⋊ C2×#107

Subgroups

subgroupG/H
centerC22D4×D443
commutatorC4×C443C22×C4
FrattiniC2×C4C22×D443
Fitting#107×C443C2
socleC22×C443C2×D4
prime radicalC22×D443D4
cosocleC2×C4×C443C23
hypercenter#107D443
hypocenterC443C2×#107
LCSG ▷ C4×C443 ▷ C2×C443 ▷ C443
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14176

Conjugacy classes & character table

3122 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28352, 581);