C₂³×C₄²×D₃ #11701735

order	768
isoclinism	isoclinic class of D₃
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄² · Schur multiplier (H₂) = C₂¹⁴×C₄

Aliases

C₂³×C₄²×D₃

Fitting	C₂³×C₃×C₄² ⋊ C₂
derived, Sylow	C₃ ⋊ C₂⁴×C₄²

24030 conjugacy classes of subgroups; only the 13515 normal subgroups are shown.

normal subgroups only

This group has 24030 conjugacy classes of subgroups — too many to draw. Only its 13515 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 384

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

maximal subgroup of	C₂×D₃×#1896, C₂³×D₃×#127
maximal normal subgroup of	C₂×D₃×#1896, C₂³×D₃×#127

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(768, 1076116);