Finite Group Databasebeta

C2×#29506389 #44501158

order30656
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#29506389

Splittings

SylowC479 ⋊ C2×#131

Subgroups

subgroupG/H
centerC2×C4C22×D479
commutatorC2×C479C23×C4
FrattiniC4C23×D479
Fitting, prime radicalC2×#41×C479C2
socleC22×C479C22×C4
cosocleC4×C479C24
hypercenterC2×#41D479
hypocenterC479C2×#131
LCSG ▷ C2×C479 ▷ C479
UCSC1 ◁ C2×C4 ◁ C2×#41

266 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15328

Conjugacy classes & character table

4820 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30656, 1312);