Finite Group Databasebeta

C2×#17988636 #22618538

order9344
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#17988636

Splittings

SylowC73 ⋊ C2×#430

Subgroups

subgroupG/H
centerC2×C4C2×D292
commutatorC4×C73C23×C4
FrattiniC2×C4C23×D73
FittingC22×M16×C73C2
socleC22×C73C2×C4⋊C4
hypercenterC22×M16D73
hypocenterC73C2×#430
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×M16

460 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1484 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#32992073, #32992075, #32992080, …
maximal normal subgroup of#32992073, #32992075, #32992080, …
maximal quotient ofC2×#22608683, #33054968, C2×#22608698, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 13117);