Finite Group Databasebeta

C8×Dic142 #17986124

order4544
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C22

Aliases

direct productC8×Dic142

Splittings

SylowC71 ⋊ C8×Q8

Subgroups

subgroupG/H
centerC2×C8C2×D71
commutatorC2×C71C22×C8
FrattiniC2×C4C22×D71
FittingC4×C8×C71C2
socle, prime radicalC22×C71C22×C4
cosocleC2×C4×C71C23
hypercenterC4×C8D71
hypocenterC71C8×Q8
LCSG ▷ C2×C71 ▷ C71
UCSC1 ◁ C2×C8 ◁ C4×C8

102 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4544

Conjugacy classes & character table

1160 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4544, 674);