#44486376

order	30592
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂²

Aliases

No aliases for this group.

Fitting	C₂²⋊C₁₆×C₂₃₉ ⋊ C₂
Sylow	C₂₃₉ ⋊ #2168

164 conjugacy classes of subgroups; only the 69 normal subgroups are shown.

normal subgroups only

This group has 164 conjugacy classes of subgroups — too many to draw. Only its 69 normal subgroups are shown.

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

μ_t(G) = 15296

Polycyclic presentation:

2^7,239|a^2=e,c^2=e,e^2=f,f^2=g,b^a=bd,c^a=cg,h^a=h^238,h^b=h^238,h^c=h^238

4816 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30592, 6338);