Finite Group Databasebeta

C2×#17989384 #22624675

order9344
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#17989384

Splittings

FittingC2×#135×C73 ⋊ C2
SylowC73 ⋊ C2×#575

Subgroups

subgroupG/H
centerC2×C4D4×D73
commutatorC4×C73C25
FrattiniC4C24×D73
FittingC2×#135×C73C2
socleC22×C73C22×D4
hypercenterC2×#135D73
hypocenterC73C2×#575
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C2×#135

1484 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1052 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#33001658, #33001661, #33001663, …
maximal normal subgroup of#33001658, #33001661, #33001663, …
maximal quotient ofC2×#22618446, C2×#22618519, C2×#22618727, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 19254);