Finite Group Databasebeta

C8×Dic914 #44416902

order29248
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C22

Aliases

direct productC8×Dic914

Splittings

SylowC457 ⋊ C8×Q8

Subgroups

subgroupG/H
centerC2×C8C2×D457
commutatorC2×C457C22×C8
FrattiniC2×C4C22×D457
FittingC4×C8×C457C2
socle, prime radicalC22×C457C22×C4
cosocleC2×C4×C457C23
hypercenterC4×C8D457
hypocenterC457C8×Q8
LCSG ▷ C2×C457 ▷ C457
UCSC1 ◁ C2×C8 ◁ C4×C8

102 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 29248

Conjugacy classes & character table

7336 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29248, 674);