Finite Group Databasebeta

C4×C191⋊#95 #37570740

order24448
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C23×C42

Aliases

direct productC4×C191⋊#95

Splittings

SylowC191 ⋊ C4×#95

Subgroups

subgroupG/H
centerC23×C4C2×D191
commutatorC2×C191C43
FrattiniC24C22×D191
FittingC22×C42×C191C2
socle, prime radical, cosocleC24×C191C23
hypercenterC22×C42D191
hypocenterC191C4×#95
LCSG ▷ C2×C191 ▷ C191
UCSC1 ◁ C23×C4 ◁ C22×C42

752 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 24448

Conjugacy classes & character table

6160 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24448, 2730);