Finite Group Databasebeta

C2×C191⋊#401 #37575816

order24448
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×C191⋊#401

Splittings

SylowC191 ⋊ C2×#401

Subgroups

subgroupG/H
centerC24C22×D191
commutator, cosocleC23×C191C24
FrattiniC23C23×D191
FittingC2×#95×C191C2
socle, prime radicalC24×C191C23
hypercenterC2×#95D191
hypocenterC191C2×#401
LCSG ▷ C23×C191 ▷ C191
UCSC1 ◁ C24 ◁ C2×#95

516 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 24448

Conjugacy classes & character table

3844 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24448, 7806);