Finite Group Databasebeta

C2×#14519723 #16840189

order3904
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×#14519723

Splittings

SylowC61 ⋊ C2×Q32

Subgroups

subgroupG/H
centerC22#11758199
commutator, cosocleC8×C61C23
FrattiniC8C22×D61
FittingC2×Q16×C61C2
socle, prime radicalC22×C61D8
hypercenterC2×Q16D61
hypocenterC61C2×Q32
LCSG ▷ C8×C61 ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8 ◁ C2×Q16

82 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3904

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3904, 976);