Finite Group Databasebeta

C22×#11718253 #16794899

order3328
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C26

Aliases

direct productC22×#11718253

Splittings

SylowC13 ⋊ C22×#334

Subgroups

subgroupG/H
centerC24C4⋊#261
commutatorC4×C13C23×C8
FrattiniC2×C4C23×#261
FittingC23×C8×C13C4
socle, prime radicalC24×C13C4⋊C4
cosocleC4×Dic13C24
hypercenterC23×C8#261
hypocenterC13C22×#334
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C24 ◁ C23×C4 ◁ C23×C8

942 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1101548);