Finite Group Databasebeta

C2×#18011818 #23749469

order9536
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×#18011818

Splittings

SylowC149 ⋊ C2×#95

Subgroups

subgroupG/H
centerC24C2×D149
commutatorC2×C149C2×C42
FrattiniC23C22×D149
FittingC23×C4×C149C2
socle, prime radicalC24×C149C22
cosocleC23×C149C23
hypercenterC23×C4D149
hypocenterC149C2×#95
LCSG ▷ C2×C149 ▷ C149
UCSC1 ◁ C24 ◁ C23×C4

330 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2408 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#34042533, #34042569, #34042571, …
maximal normal subgroup of#34042533, #34042569, #34042571, …
maximal quotient ofC4×#18011818, #34042913, #34042914, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9536, 393);