D₂₉₃⋊#328 #49174154

order	37504
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³

Aliases

D₂₉₃⋊#328

Fitting	C₂²⋊Q₈×C₂₉₃ ⋊ C₄
Sylow	C₂₉₃ ⋊ C₂×#328

336 conjugacy classes of subgroups; only the 74 normal subgroups are shown.

normal subgroups only

This group has 336 conjugacy classes of subgroups — too many to draw. Only its 74 normal subgroups are shown.

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

μ_t(G) = 4688

Polycyclic presentation:

2^7,293|a^2=e,b^2=f,d^2=g,b^a=bd,d^a=df,h^a=h^138,d^b=dg,e^b=efg,h^c=h^292,h^e=h^292

1060 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37504, 19879);