#34059869

order	19072
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

No aliases for this group.

Fitting	C₂×C₄²×C₁₄₉ ⋊ C₄
Sylow	C₁₄₉ ⋊ C₄⋊#95

656 conjugacy classes of subgroups; only the 206 normal subgroups are shown.

normal subgroups only

This group has 656 conjugacy classes of subgroups — too many to draw. Only its 206 normal subgroups are shown.

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

μ_t(G) = 4768

Polycyclic presentation:

2^7,149|a^2=f,b^2=g,c^2=e,b^a=bd,c^a=ce,h^a=h^105,h^f=h^148

1240 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19072, 19688);