Finite Group Databasebeta

← Group #11772870

Character table — Group #11772870

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222224444488888888888888888888888161616161616161616161616161616161616161616167272144144144
order1223333666646666224666666661212121212121212121212124466661212121212121212121212121212121288444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111-1-11-1-1-1-1-1-1-1-1111111111111i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1i−i
χ61111111111111111-1-11-1-1-1-1-1-1-1-1111111111111i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11−ii
χ71111111111111111-1-11-1-1-1-1-1-1-1-1111111111111−ii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1−ii
χ81111111111111111-1-11-1-1-1-1-1-1-1-1111111111111−ii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11i−i
χ922222222222222222-2-2222222222222-2-2-2-2-2-2-2-200-2-2-2-2000000000000000000000
χ102222222222222222-22-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2002222000000000000000000000
χ112222-1-1-12-1-1-122-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000
χ122222-1-1-12-1-1-122-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-22-1-1-1-2-2111111-2-211111100000
χ132222-1-1-12-1-1-122-1-1-12-2-222-1-1-1-1-1-12-1-1-1-2-211111100-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000
χ142222-1-1-12-1-1-122-1-1-12-2-222-1-1-1-1-1-12-1-1-1-2-211111100-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000
χ152222-1-1-12-1-1-122-1-1-1-22-2-2-21111112-1-1-1-2-2111111002-1-1-100333−3−3−300−3−3−333300000
χ162222-1-1-12-1-1-122-1-1-1-22-2-2-21111112-1-1-1-2-2111111002-1-1-100−3−3−333300333−3−3−300000
χ172222-1-1-12-1-1-122-1-1-1-2-22-2-21111112-1-1-122-1-1-1-1-1-12i−2i-21112i2i−i−i−i−i−i−i−2i−2iiiiiii00000
χ182222-1-1-12-1-1-122-1-1-1-2-22-2-21111112-1-1-122-1-1-1-1-1-1−2i2i-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i00000
χ19222-12-1-1-12-1-12-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122-12-1-1-1-12-1-12-1-1-1-12-1-12-1-100000
χ20222-12-1-1-12-1-12-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-12-1-111-211-21111-211-21100000
χ21222-12-1-1-12-1-12-12-1-12-2-2-1-122-1-1-1-1-12-1-111-2-21111001-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000
χ22222-12-1-1-12-1-12-12-1-12-2-2-1-122-1-1-1-1-12-1-111-2-21111001-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000
χ23222-12-1-1-12-1-12-12-1-1-22-211-2-21111-12-1-111-2-2111100-12-1-13−303−303−3−330−330−3300000
χ24222-12-1-1-12-1-12-12-1-1-22-211-2-21111-12-1-111-2-2111100-12-1-1−330−330−333−303−303−300000
χ25222-12-1-1-12-1-12-12-1-1-2-2211-2-21111-12-1-1-1-122-1-1-1-12i−2i1-211−i−i2i−i−i2i−i−iii−2iii−2iii00000
χ26222-12-1-1-12-1-12-12-1-1-2-2211-2-21111-12-1-1-1-122-1-1-1-1−2i2i1-211ii−2iii−2iii−i−i2i−i−i2i−i−i00000
χ27222-1-12-1-1-12-12-1-12-1222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-122-1-12-1-1-1-12-1-1-12-1-1-12-1-1-1200000
χ28222-1-12-1-1-12-12-1-12-1222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-2-2-1-12-1111-2111-2111-2111-200000
χ29222-1-12-1-1-12-12-1-12-12-2-2-1-1-1-122-1-1-1-12-11111-2-2110011-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000000
χ30222-1-12-1-1-12-12-1-12-12-2-2-1-1-1-122-1-1-1-12-11111-2-2110011-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000000
χ31222-1-12-1-1-12-12-1-12-1-22-21111-2-211-1-12-11111-2-21100-1-12-13−3−3033−30−3330−3−33000000
χ32222-1-12-1-1-12-12-1-12-1-22-21111-2-211-1-12-11111-2-21100-1-12-1−3330−3−3303−3−3033−3000000
χ33222-1-12-1-1-12-12-1-12-1-2-221111-2-211-1-12-1-1-1-1-122-1-12i−2i11-21−i−i−i2i−i−i−i2iiii−2iiii−2i00000
χ34222-1-12-1-1-12-12-1-12-1-2-221111-2-211-1-12-1-1-1-1-122-1-1−2i2i11-21iii−2iiii−2i−i−i−i2i−i−i−i2i00000
χ35222-1-1-12-1-1-122-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-12-1-1-1-12-12-1-1-1-1-12-12-100000
χ36222-1-1-12-1-1-122-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-2-2-1-1-121111-21-211111-21-2100000
χ37222-1-1-12-1-1-122-1-1-122-2-2-1-1-1-1-1-122-1-1-12111111-2-200111-2−i3i3−i3i30i30−i3−i3i3−i3i30i30−i300000
χ38222-1-1-12-1-1-122-1-1-122-2-2-1-1-1-1-1-122-1-1-12111111-2-200111-2i3−i3i3−i30−i30i3i3−i3i3−i30−i30i300000
χ39222-1-1-12-1-1-122-1-1-12-22-2111111-2-2-1-1-12111111-2-200-1-1-123−33−30−303−33−33030−300000
χ40222-1-1-12-1-1-122-1-1-12-22-2111111-2-2-1-1-12111111-2-200-1-1-12−33−33030−33−33−30−30300000
χ41222-1-1-12-1-1-122-1-1-12-2-22111111-2-2-1-1-12-1-1-1-1-1-1222i−2i111-2−i−i−i−i2i−i2i−iiiii−2ii−2ii00000
χ42222-1-1-12-1-1-122-1-1-12-2-22111111-2-2-1-1-12-1-1-1-1-1-122−2i2i111-2iiii−2ii−2ii−i−i−i−i2i−i2i−i00000
χ4344444444444-4444400000000000-4-4-4-400000000000000000000000000000000000
χ444444-2-2-24-2-2-2-44-2-2-200000−2i32i3−2i32i3−2i32i3-422200000000000000000000000000000000000
χ454444-2-2-24-2-2-2-44-2-2-2000002i3−2i32i3−2i32i3−2i3-422200000000000000000000000000000000000
χ46444-24-2-2-24-2-2-4-24-2-2000−2i32i300−2i32i32i3−2i32-42200000000000000000000000000000000000
χ47444-24-2-2-24-2-2-4-24-2-20002i3−2i3002i3−2i3−2i32i32-42200000000000000000000000000000000000
χ48444-2-24-2-2-24-2-4-2-24-2000−2i32i32i3−2i300−2i32i322-4200000000000000000000000000000000000
χ49444-2-24-2-2-24-2-4-2-24-20002i3−2i3−2i32i3002i3−2i322-4200000000000000000000000000000000000
χ50444-2-2-24-2-2-24-4-2-2-24000−2i32i3−2i32i32i3−2i300222-400000000000000000000000000000000000
χ51444-2-2-24-2-2-24-4-2-2-240002i3−2i32i3−2i3−2i32i300222-400000000000000000000000000000000000
χ5244-4444444440-4-4-4-40000000000000000000000000000000000000000000002i−2i000
χ5344-4444444440-4-4-4-4000000000000000000000000000000000000000000000−2i2i000
χ5488-88-4-4-48-4-4-40-844400000000000000000000000000000000000000000000000000
χ5588-8-48-4-4-48-4-404-84400000000000000000000000000000000000000000000000000
χ5688-8-4-48-4-4-48-4044-8400000000000000000000000000000000000000000000000000
χ5788-8-4-4-48-4-4-480444-800000000000000000000000000000000000000000000000000
χ588-808888-8-8-8-80000000000000000000000000000000000000000000000000000000
χ598-808-4-4-4-84440000000000000000000000−2i32i3−2i32i3−2i32i3000000000000000000000000000
χ608-808-4-4-4-844400000000000000000000002i3−2i32i3−2i32i3−2i3000000000000000000000000000
χ618-80-48-4-44-84400000000000000000000−2i32i300−2i32i32i3−2i3000000000000000000000000000
χ628-80-48-4-44-844000000000000000000002i3−2i3002i3−2i3−2i32i3000000000000000000000000000
χ638-80-4-48-444-8400000000000000000000−2i32i32i3−2i300−2i32i3000000000000000000000000000
χ648-80-4-48-444-84000000000000000000002i3−2i3−2i32i3002i3−2i3000000000000000000000000000
χ658-80-4-4-48444-800000000000000000000−2i32i3−2i32i32i3−2i300000000000000000000000000000
χ668-80-4-4-48444-8000000000000000000002i3−2i32i3−2i3−2i32i300000000000000000000000000000

Here i is the imaginary unit (i² = −1).