C₂×D₁₇₃⋊#100 #36370167

order	22144
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂×D₁₇₃⋊#100
unambiguous semidirect product	D₁₇₃⋊(C₂×#100)

C₁₇₃ ⋊ C₂²×#100

992 conjugacy classes of subgroups; only the 210 normal subgroups are shown.

normal subgroups only

This group has 992 conjugacy classes of subgroups — too many to draw. Only its 210 normal subgroups are shown.

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

μ_t(G) = 2768

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22144, 21114);