Finite Group Databasebeta

C2×#17989393 #22624686

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

Aliases

direct productC2×#17989393

Splittings

FittingC22×SD16×C73 ⋊ C2
SylowC73 ⋊ C2×#577

Subgroups

subgroupG/H
centerC22C2×D4×D73
commutatorC4×C73C25
FrattiniC4C24×D73
FittingC22×SD16×C73C2
socleC22×C73C22×D4
hypercenterC22×SD16D73
hypocenterC73C2×#577
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×SD16

1460 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#33101892, #33101924, #33101976, …
maximal normal subgroup of#33101892, #33101924, #33101976, …
maximal quotient ofC2×#22618452, C2×#22618459, C2×#22618522, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 19265);