Finite Group Databasebeta

C2×C367⋊#95 #37554030

order23488
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×C367⋊#95
unambiguous semidirect product(C2×C367)⋊#95

Splittings

SylowC367 ⋊ C2×#95

Subgroups

subgroupG/H
centerC24C2×D367
commutatorC2×C367C2×C42
FrattiniC23C22×D367
FittingC23×C4×C367C2
socle, prime radicalC24×C367C22
cosocleC23×C367C23
hypercenterC23×C4D367
hypocenterC367C2×#95
LCSG ▷ C2×C367 ▷ C367
UCSC1 ◁ C24 ◁ C23×C4

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 23488

Conjugacy classes & character table

5896 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23488, 393);