Finite Group Databasebeta

#95×D379 #37565087

order24256
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D379

Splittings

Fitting#95×C379 ⋊ C2
SylowC379 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D379
commutatorC2×C379C2×C42
Fitting#95×C379C2
socle, cosocleC23×C379C23
prime radicalC23×D379C22
hypercenter#95D379
hypocenterC379C2×#95
LCSG ▷ C2×C379 ▷ C379
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 12128

Conjugacy classes & character table

3820 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24256, 392);