C₂×C₅⋊(C₂₃⋊(D₇⋊C₉)) #44394372

order	28980
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₅⋊(C₂₃⋊(D₇⋊C₉))
unambiguous semidirect product	(C₂×C₅)⋊(C₂₃⋊(D₇⋊C₉))
unambiguous semidirect product	(C₂×C₂₃)⋊(C₅⋊(D₇⋊C₉))
unambiguous semidirect product	(C₂×C₇⋊C₉)⋊D₁₁₅
unambiguous semidirect product	(C₂×D₈₀₅)⋊C₉

120 conjugacy classes of subgroups; only the 49 normal subgroups are shown.

normal subgroups only

This group has 120 conjugacy classes of subgroups — too many to draw. Only its 49 normal subgroups are shown.

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

μ_t(G) = 14490

1752 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28980, 41);