Finite Group Databasebeta

#1274×D67 #30745225

order17152
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C42

Aliases

direct product#1274×D67

Splittings

FittingC67×#1274 ⋊ C2
SylowC67 ⋊ C2×#1274

Subgroups

subgroupG/H
centerC2×C4C42×D67
commutatorC4×C67C2×C4×C8
FrattiniC2×C42C22×D67
FittingC67×#1274C2
socleC22×C67C2×#95
prime radicalC23×D67C22⋊C4
cosocleC2×C42×C67C23
hypercenter#1274D67
hypocenterC67C2×#1274
LCSG ▷ C4×C67 ▷ C67
UCSC1 ◁ C2×C4 ◁ #1274

758 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2144

Conjugacy classes & character table

1540 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 58962);