Finite Group Databasebeta

#97×D73 #17988534

order4672
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23

Aliases

direct product#97×D73

Splittings

Fitting#97×C73 ⋊ C2
SylowC73 ⋊ C2×#97

Subgroups

subgroupG/H
center, FrattiniC2×C4C22×D73
commutatorC2×C73C2×C42
Fitting#97×C73C2
socleC22×C73C22×C4
prime radicalC22×D73C2×C4
cosocleC2×C4×C73C23
hypercenter#97D73
hypocenterC73C2×#97
LCSG ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ #97

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2336

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4672, 496);