Finite Group Databasebeta

#380×D191 #37574889

order24448
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct product#380×D191

Splittings

Fitting#380×C191 ⋊ C2
SylowC191 ⋊ C2×#380

Subgroups

subgroupG/H
center, FrattiniC23C23×D191
commutatorC22×C191C23×C4
Fitting#380×C191C2
socle, cosocleC23×C191C24
prime radicalC24×D191C22
hypercenter#380D191
hypocenterC191C2×#380
LCSG ▷ C22×C191 ▷ C191
UCSC1 ◁ C23 ◁ #380

1232 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 6112

Conjugacy classes & character table

2716 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24448, 6879);