C₄²×C₂²⋊D₇₉ #23765746

order	10112
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

C₄²×C₂²⋊D₇₉

Fitting	C₂²×C₄²×C₇₉ ⋊ C₂
Sylow	C₇₉ ⋊ C₄²×D₄

924 conjugacy classes of subgroups; only the 381 normal subgroups are shown.

normal subgroups only

This group has 924 conjugacy classes of subgroups — too many to draw. Only its 381 normal subgroups are shown.

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

2576 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10112, 6856);