C₂²×D₄×C₃⋊(C₃⋊D₃) #13181754

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂⁵ · Schur multiplier (H₂) = C₂¹⁰×C₃³

Aliases

Fitting	C₂²×C₃³×D₄ ⋊ C₂
Sylow	C₃³ ⋊ C₂³×D₄

19068 conjugacy classes of subgroups; only the 2531 normal subgroups are shown.

normal subgroups only

This group has 19068 conjugacy classes of subgroups — too many to draw. Only its 2531 normal subgroups are shown.

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

μ_t(G) = 432

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

maximal subgroup of	C₂²×D₃×D₄×C₃⋊D₃
maximal normal subgroup of	C₂²×D₃×D₄×C₃⋊D₃

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 47817);