Finite Group Databasebeta

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C3×C13×Dic95 #28414724

order14820
isoclinismisoclinic class of D95
automorphism?
homologyAbelianization (H1) = C3×C4×C13 · Schur multiplier (H2) = C1

Aliases

direct productC3×C13×Dic95

Splittings

derived, HallC5×C19 ⋊ C3×C4×C13
HallC3×C5×C13×C19 ⋊ C4
HallC5×C13×C19 ⋊ C3×C4
HallC3×C13×C19 ⋊ Dic5
HallC3×C5×C19 ⋊ C4×C13
HallC13×C19 ⋊ C3×Dic5
HallC3×C5×C13 ⋊ Dic19
HallC5×C13 ⋊ C3×Dic19
HallC3×C19 ⋊ C13×Dic5
SylowC19 ⋊ C3×C13×Dic5
HallC3×C5 ⋊ C13×Dic19
SylowC5 ⋊ C3×C13×Dic19

Subgroups

subgroupG/H
center, hypercenterC2×C3×C13D95
commutator, hypocenterC5×C19C3×C4×C13
FrattiniC2C3×C13×D95
Fitting, socle, prime radicalC2×C3×C5×C13×C19C2
cosocleC2×C5×C19C2×C3×C13
LCSG ▷ C5×C19
UCSC1 ◁ C2×C3×C13

48 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14820

Conjugacy classes & character table

3822 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14820, 10);