Finite Group Databasebeta

← Group #11794282

Character table — Group #11794282

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1222223344446666663666666612121212121212121212121244661212121212121212121212121212121212124444448812121212121212121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1
χ711111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ922222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-200000000002-200000000000022-2-20000000000
χ1022222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-20000000000-22000000000000-2-2220000000000
χ112222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-10000-1-1-1-1-1-10000000000
χ122222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001100001111110000000000
χ132222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-12-2-2-1-1-2-211-2-211-1-11111111122-2-20000-1-10000-1-111110000000000
χ142222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-12-2-2-1-1-2-211-2-211-1-111111111-2-222000011000011-1-1-1-10000000000
χ152222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-2-211111111-200-1-100−i3i300−i3i311−i3−i3−i3−i3i3i3i3i3002-20000−i3i30000−i3i3-1-1110000000000
χ162222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-2-211111111-200-1-100−i3i300−i3i311−i3−i3−i3−i3i3i3i3i300-220000i3−i30000i3−i311-1-10000000000
χ172222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-2-211111111-200-1-100i3−i300i3−i311i3i3i3i3−i3−i3−i3−i3002-20000i3−i30000i3−i3-1-1110000000000
χ182222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-2-211111111-200-1-100i3−i300i3−i311i3i3i3i3−i3−i3−i3−i300-220000−i3i30000−i3i311-1-10000000000
χ19222222-122222-1-122-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000222200-1-1-1-1000000-1-1-1-1000000
χ20222222-122222-1-122-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-20011110000001111000000
χ21222222-122222-1-122-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-2-2-1-111-2-211-2-2-1-111111111000022-2-200-1-1-1-10000001111000000
χ22222222-122222-1-122-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-2-2-1-111-2-211-2-2-1-1111111110000-2-222001111000000-1-1-1-1000000
χ232222-2-2222-22-22222222-2-2-2-22222-2-222-2-2-2-2-2-222-2-2-222-2-2-2-2222222-2-222-2-2000000000000000000000000000000
χ242222-2-2222-22-22222222-2-2-2-22222-2-222-2-2-2-2-2-22-22-2-2-2-22222-2-222-2-222-2-222000000000000000000000000000000
χ252222-2-222-22-222222222-2-2-2-2222-222-2-2222222-200-2-200000000-2-2000000002-2000000220000-2-200000000000000
χ262222-2-222-22-222222222-2-2-2-2222-222-2-2222222-200-2-200000000-2-200000000-22000000-2-200002200000000000000
χ272222-2-22-12-22-222-1-12-1-1-2-211-1-1-12-2-2-1-111111122-2112211-2-2-1-1-1-1-1-111-1-11100000000−i3i30000i3−i3−i3i3−i3i30000000000
χ282222-2-22-12-22-222-1-12-1-1-2-211-1-1-12-2-2-1-111111122-2112211-2-2-1-1-1-1-1-111-1-11100000000i3−i30000−i3i3i3−i3i3−i30000000000
χ292222-2-22-12-22-222-1-12-1-1-2-211-1-1-12-2-2-1-11111112-2211-2-2-1-12211-1-111-1-111-1-100000000−i3i30000i3−i3i3−i3i3−i30000000000
χ302222-2-22-12-22-222-1-12-1-1-2-211-1-1-12-2-2-1-11111112-2211-2-2-1-12211-1-111-1-111-1-100000000i3−i30000−i3i3−i3i3−i3i30000000000
χ312222-2-22-1-22-2222-1-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-2001100−i3i300i3−i311i3i3−i3−i3−i3−i3i3i32-2000000-1-1000011i3−i3−i3i30000000000
χ322222-2-22-1-22-2222-1-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-2001100−i3i300i3−i311i3i3−i3−i3−i3−i3i3i3-22000000110000-1-1−i3i3i3−i30000000000
χ332222-2-22-1-22-2222-1-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-2001100i3−i300−i3i311−i3−i3i3i3i3i3−i3−i32-2000000-1-1000011−i3i3i3−i30000000000
χ342222-2-22-1-22-2222-1-12-1-1-2-211-1-1-1-22211-1-1-1-1-1-1-2001100i3−i300−i3i311−i3−i3i3i3i3i3−i3−i3-22000000110000-1-1i3−i3−i3i30000000000
χ352222-2-2-122-22-2-1-122-12-111-2-2-1-1-1-11122-2-21111-12-211-1-1-2-21122-1-1-1-111-1-1110000000000−i3−i3i3i3000000−i3−i3i3i3000000
χ362222-2-2-122-22-2-1-122-12-111-2-2-1-1-1-11122-2-21111-12-211-1-1-2-21122-1-1-1-111-1-1110000000000i3i3−i3−i3000000i3i3−i3−i3000000
χ372222-2-2-122-22-2-1-122-12-111-2-2-1-1-1-11122-2-21111-1-22111122-1-1-2-2-1-111-1-111-1-10000000000−i3−i3i3i3000000i3i3−i3−i3000000
χ382222-2-2-122-22-2-1-122-12-111-2-2-1-1-1-11122-2-21111-1-22111122-1-1-2-2-1-111-1-111-1-10000000000i3i3−i3−i3000000−i3−i3i3i3000000
χ3922-2-22-2222-2-222-22-2-2-222-22-22-2-222-22-22-222-2-2-2002-2000000002-20000000000000000000000000000000000002-2
χ4022-2-22-2222-2-222-22-2-2-222-22-22-2-222-22-22-222-2-2-2002-2000000002-2000000000000000000000000000000000000-22
χ4122-2-22-222-222-22-22-2-2-222-22-22-2-2-2-22-22-22-2-2222002-200000000-22000000000000002-20000000000002-22-2000000
χ4222-2-22-222-222-22-22-2-2-222-22-22-2-2-2-22-22-22-2-2222002-200000000-2200000000000000-22000000000000-22-22000000
χ4322-2-22-2-12-222-2-112-21-2-1-112-2-11111-1-22-2211-1-1-100-113−3003−3001-13−33−33−33−30000002-2003−33−3000000-11-11000000
χ4422-2-22-2-12-222-2-112-21-2-1-112-2-11111-1-22-2211-1-1-100-113−3003−3001-13−33−33−33−3000000-2200−33−330000001-11-1000000
χ4522-2-22-2-12-222-2-112-21-2-1-112-2-11111-1-22-2211-1-1-100-11−3300−33001-1−33−33−33−330000002-200−33−33000000-11-11000000
χ4622-2-22-2-12-222-2-112-21-2-1-112-2-11111-1-22-2211-1-1-100-11−3300−33001-1−33−33−33−33000000-22003−33−30000001-11-1000000
χ4722-2-2-222222-2-22-22-2-2-22-22-222-2-22-222-2-22-2-222-200-22000000002-20000000000000000000000000000000022-2-200
χ4822-2-2-222222-2-22-22-2-2-22-22-222-2-22-222-2-22-2-222-200-22000000002-200000000000000000000000000000000-2-22200
χ4922-2-2-2222-2-2222-22-2-2-22-22-222-2-2-22-2-222-222-2-2200-2200000000-220000000000002i−2i00002i−2i−2i2i0000000000000000
χ5022-2-2-2222-2-2222-22-2-2-22-22-222-2-2-22-2-222-222-2-2200-2200000000-22000000000000−2i2i0000−2i2i2i−2i0000000000000000
χ5122-2-2-22-12-2-222-112-21-2-11-1-22-1111-11-222-2-1-111-1001-13−300−33001-13−3−333−3−3300002i−2i0000−iii−i000000−i3i3i3−i3000000
χ5222-2-2-22-12-2-222-112-21-2-11-1-22-1111-11-222-2-1-111-1001-13−300−33001-13−3−333−3−330000−2i2i0000i−i−ii000000i3−i3−i3i3000000
χ5322-2-2-22-12-2-222-112-21-2-11-1-22-1111-11-222-2-1-111-1001-1−33003−3001-1−333−3−333−300002i−2i0000−iii−i000000i3−i3−i3i3000000
χ5422-2-2-22-12-2-222-112-21-2-11-1-22-1111-11-222-2-1-111-1001-1−33003−3001-1−333−3−333−30000−2i2i0000i−i−ii000000−i3i3i3−i3000000
χ55444444-24-4-4-4-4-2-244-24-2-2-244-2-2-2222-4-4-4-42222200-2-2000000002200000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-24411-2-2-2-2-2-2-2-21111111111000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2-4-4112222222211-1-1-1-1-1-1-1-1000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222-1-1-1-12001100−2i32i300−2i32i3-1-1i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222-1-1-1-120011002i3−2i3002i3−2i3-1-1−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000
χ604444-4-4-24-44-44-2-244-24-222-4-4-2-2-22-2-2-4-444-2-2-2-220022000000002200000000000000000000000000000000000000
χ614444-4-4-2-24-44-4-2-2-2-2-2-212222111-222-2-222-1-1-1-1-24-4-1-1-2-22222-2-21111-1-111-1-1000000000000000000000000000000
χ624444-4-4-2-24-44-4-2-2-2-2-2-212222111-222-2-222-1-1-1-1-2-44-1-122-2-2-2-22211-1-111-1-111000000000000000000000000000000
χ634444-4-4-2-2-44-44-2-2-2-2-2-2122221112-2-222-2-21111200-1-100−2i32i3002i3−2i3-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ644444-4-4-2-2-44-44-2-2-2-2-2-2122221112-2-222-2-21111200-1-1002i3−2i300−2i32i3-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ6544-4-44-44-24-4-444-4-22-42-24-4-22-22244-4-22-22-2-222-400-2200000000-2200000000000000000000000000000000000000
χ6644-4-44-44-2-444-44-4-22-42-24-4-22-222-4-442-22-222-2-2400-22000000002-200000000000000000000000000000000000000
χ6744-4-44-4-244-4-44-224-42-4-2-224-4-222-2-224-44-4-2-222200-2200000000-2200000000000000000000000000000000000000
χ6844-4-44-4-2-24-4-44-22-22221-22-221-1-1-2-22-22-2211-1-12001-1000000001-13i−3i3i−3i−3i3i−3i3i000000000000000000000000000000
χ6944-4-44-4-2-24-4-44-22-22221-22-221-1-1-2-22-22-2211-1-12001-1000000001-1−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000
χ7044-4-44-4-2-2-444-4-22-22221-22-221-1-122-22-22-2-1-111-2001-123−230023−2300-11−33−33−33−33000000000000000000000000000000
χ7144-4-44-4-2-2-444-4-22-22221-22-221-1-122-22-22-2-1-111-2001-1−232300−232300-113−33−33−33−3000000000000000000000000000000
χ7244-4-4-444-244-4-44-4-22-42-2-442-2-2224-44-222-222-2-2-4002-200000000-2200000000000000000000000000000000000000
χ7344-4-4-444-2-4-4444-4-22-42-2-442-2-222-44-42-2-22-2-2224002-2000000002-200000000000000000000000000000000000000
χ7444-4-4-44-2444-4-4-224-42-4-22-2-44-222-22-24-4-4422-2-22002-200000000-2200000000000000000000000000000000000000
χ7544-4-4-44-2-244-4-4-22-222212-22-21-1-1-22-2-222-2-1-111200-11000000001-13i−3i−3i3i−3i3i3i−3i000000000000000000000000000000
χ7644-4-4-44-2-244-4-4-22-222212-22-21-1-1-22-2-222-2-1-111200-11000000001-1−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000
χ7744-4-4-44-2-2-4-444-22-222212-22-21-1-12-222-2-2211-1-1-200-1123−2300−232300-11−333−3−333−3000000000000000000000000000000
χ7844-4-4-44-2-2-4-444-22-222212-22-21-1-12-222-2-2211-1-1-200-11−23230023−2300-113−3−333−3−33000000000000000000000000000000
χ794-44-400440000-44-4-4-4440000-44-400000000000000000000000000000000000000000000000000000000002i−2i2i−2i00
χ804-44-400440000-44-4-4-4440000-44-40000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ814-4-4400440000-4-4-444-440000-4-4400000000000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ824-4-4400440000-4-4-444-440000-4-440000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ838-88-8008-40000-8844-8-4-400004-440000000000000000000000000000000000000000000000000000000000000000
χ848-88-800-4800004-4-8-848-400004-440000000000000000000000000000000000000000000000000000000000000000
χ858-88-800-4-400004-4444-420000-22-200000006i−6i6i−6i00000000000000000000000000000000000000000000000000000
χ868-88-800-4-400004-4444-420000-22-20000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000
χ878-8-88008-40000-8-84-484-4000044-40000000000000000000000000000000000000000000000000000000000000000
χ888-8-8800-48000044-88-4-8-4000044-40000000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-40000444-4-4420000-2-2200000006i−6i−6i6i00000000000000000000000000000000000000000000000000000
χ908-8-8800-4-40000444-4-4420000-2-220000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000

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