Finite Group Databasebeta

C2×#29502973 #44476264

order30304
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×#29502973

Splittings

SylowC947 ⋊ C2×SD16

Subgroups

subgroupG/H
centerC22C22⋊D947
commutator, cosocleC4×C947C23
FrattiniC4C22×D947
Fitting, prime radicalC2×D4×C947C2
socleC22×C947D4
hypercenterC2×D4D947
hypocenterC947C2×SD16
LCSG ▷ C4×C947 ▷ C2×C947 ▷ C947
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×D4

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15152

Conjugacy classes & character table

4744 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30304, 160);