Finite Group Databasebeta

← Group #11794285

Character table — Group #11794285

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222334444666666666636666666661212121212121212441212121212121212121212121212121212121212444412121212121212124444441212121212121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1-11-1-1-1-1-111-1-111-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-11-1-1-11-1-1-1-1-1-111-1-111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1111111-1-111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111111-1-111-1-11111-1-1
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-22-222-2-222-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-22-2-222-2-222-2-2-2-2-2-2-2-222220000000000000000000000000000000000
χ112222222-12222222-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002200220000-1-1-1-1-1-1-1-10000
χ122222222-12222222-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-200-2-20000111111110000
χ132222222-12222222-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1111111110000000000002-2002-20000-1-111-1-1110000
χ142222222-12222222-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-111111111000000000000-2200-22000011-1-111-1-10000
χ152222222-1-2-2-2-2222-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112-222-2-2-1-1111111-1-1-1-111110000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ162222222-1-2-2-2-2222-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112-222-2-2-1-1111111-1-1-1-111110000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ172222222-1-2-2-2-2222-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-22-2-22211-1-111111111-1-1-1-10000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ182222222-1-2-2-2-2222-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-22-2-22211-1-111111111-1-1-1-10000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ19222222-122222-1-1-12-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002200-1-1-1-1000000000000
χ20222222-122222-1-1-12-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100-2-2001111000000000000
χ21222222-122222-1-1-12-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-2-21111-2-2-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-100-2-2001111000000000000
χ22222222-122222-1-1-12-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-211111111002200-1-1-1-1000000000000
χ23222222-12-2-2-2-2-1-1-12-1-1-1-122-122-1-1-1-1-1-1-11111-2-2-2-22-2-1-11122-2-21111-1-1-1-111110000−i3−i3−i3−i3i3i3i3i3000000−i3−i3i3i3000000000000
χ24222222-12-2-2-2-2-1-1-12-1-1-1-122-122-1-1-1-1-1-1-11111-2-2-2-22-2-1-11122-2-21111-1-1-1-111110000i3i3i3i3−i3−i3−i3−i3000000i3i3−i3−i3000000000000
χ25222222-12-2-2-2-2-1-1-12-1-1-1-122-122-1-1-1-1-1-1-11111-2-2-2-2-2211-1-1-2-22211111111-1-1-1-10000−i3−i3−i3−i3i3i3i3i3000000i3i3−i3−i3000000000000
χ26222222-12-2-2-2-2-1-1-12-1-1-1-122-122-1-1-1-1-1-1-11111-2-2-2-2-2211-1-1-2-22211111111-1-1-1-10000i3i3i3i3−i3−i3−i3−i3000000−i3−i3i3i3000000000000
χ272222-2-2222-22-2-2-2222-2-22222-2-22-2-2-2-22222-2-222-2-2000000000022-2-20000000000000000000002000-2000000-2-200220000
χ282222-2-2222-22-2-2-2222-2-22222-2-22-2-2-2-22222-2-222-2-2000000000022-2-2000000000000000000000-200020000002200-2-20000
χ292222-2-222-22-22-2-2222-2-22222-2-22-2-2-2-222-2-222-2-2220000000000-2-222000000000000000000002000-200000-2-20022000000
χ302222-2-222-22-22-2-2222-2-22222-2-22-2-2-2-222-2-222-2-2220000000000-2-22200000000000000000000-20002000002200-2-2000000
χ312222-2-22-12-22-2-2-22-12-2-22-1-1-111-11111-1-122-2-2-1-111000000−i3i3−i3i3-1-111−i3−i3i3i3−i3−i3i3i300000000000002000-20000−i3i311i3−i3-1-10000
χ322222-2-22-12-22-2-2-22-12-2-22-1-1-111-11111-1-122-2-2-1-111000000−i3i3−i3i3-1-111−i3−i3i3i3−i3−i3i3i30000000000000-200020000i3−i3-1-1−i3i3110000
χ332222-2-22-12-22-2-2-22-12-2-22-1-1-111-11111-1-122-2-2-1-111000000i3−i3i3−i3-1-111i3i3−i3−i3i3i3−i3−i300000000000002000-20000i3−i311−i3i3-1-10000
χ342222-2-22-12-22-2-2-22-12-2-22-1-1-111-11111-1-122-2-2-1-111000000i3−i3i3−i3-1-111i3i3−i3−i3i3i3−i3−i30000000000000-200020000−i3i3-1-1i3−i3110000
χ352222-2-22-1-22-22-2-22-12-2-22-1-1-111-11111-1-1-2-22211-1-1000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i30000000000002000-20000011−i3i3-1-1i3−i30000
χ362222-2-22-1-22-22-2-22-12-2-22-1-1-111-11111-1-1-2-22211-1-1000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i3000000000000-2000200000-1-1i3−i311−i3i30000
χ372222-2-22-1-22-22-2-22-12-2-22-1-1-111-11111-1-1-2-22211-1-1000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i30000000000002000-20000011i3−i3-1-1−i3i30000
χ382222-2-22-1-22-22-2-22-12-2-22-1-1-111-11111-1-1-2-22211-1-1000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i3000000000000-2000200000-1-1−i3i311i3−i30000
χ3922-2-22-2222-2-222222-2-2-2-2-2-222-2-222-2-22-22-22-22-22-200000000002-22-200000000000000000000000000000000000000002-2
χ4022-2-22-2222-2-222222-2-2-2-2-2-222-2-222-2-22-22-22-22-22-200000000002-22-20000000000000000000000000000000000000000-22
χ4122-2-22-222-222-22222-2-2-2-2-2-222-2-222-2-22-2-22-22-22-220000000000-22-22000000000000000000000000000000000000002-200
χ4222-2-22-222-222-22222-2-2-2-2-2-222-2-222-2-22-2-22-22-22-220000000000-22-2200000000000000000000000000000000000000-2200
χ4322-2-2-222222-2-2-2-222-222-2-2-22-22-2-2-2222-22-2-222-2-2200000000002-2-220000000022-2-222-2-222-2-20000000000000000000000
χ4422-2-2-222222-2-2-2-222-222-2-2-22-22-2-2-2222-22-2-222-2-2200000000002-2-2200000000-2-222-2-222-2-2220000000000000000000000
χ4522-2-2-2222-2-222-2-222-222-2-2-22-22-2-2-2222-2-222-2-222-20000000000-222-200000000000000000000002i−2i002i−2i2i−2i000000000000
χ4622-2-2-2222-2-222-2-222-222-2-2-22-22-2-2-2222-2-222-2-222-20000000000-222-20000000000000000000000−2i2i00−2i2i−2i2i000000000000
χ4722-2-2-22-1222-2-211-121-1-11-2-2-1-22111-1-1-11-111-12-2-22003−33−30000-111-13−33−33−33−322-2-2-1-111-1-1110000003−3−33000000000000
χ4822-2-2-22-1222-2-211-121-1-11-2-2-1-22111-1-1-11-111-12-2-22003−33−30000-111-13−33−33−33−3-2-22211-1-111-1-1000000−333−3000000000000
χ4922-2-2-22-1222-2-211-121-1-11-2-2-1-22111-1-1-11-111-12-2-2200−33−330000-111-1−33−33−33−3322-2-2-1-111-1-111000000−333−3000000000000
χ5022-2-2-22-1222-2-211-121-1-11-2-2-1-22111-1-1-11-111-12-2-2200−33−330000-111-1−33−33−33−33-2-22211-1-111-1-10000003−3−33000000000000
χ5122-2-2-22-12-2-22211-121-1-11-2-2-1-22111-1-1-111-1-11-222-2003−3−3300001-1-113−33−3−33−330000−i3−i3i3i3i3i3−i3−i3002i−2i00−ii−ii000000000000
χ5222-2-2-22-12-2-22211-121-1-11-2-2-1-22111-1-1-111-1-11-222-2003−3−3300001-1-113−33−3−33−330000i3i3−i3−i3−i3−i3i3i300−2i2i00i−ii−i000000000000
χ5322-2-2-22-12-2-22211-121-1-11-2-2-1-22111-1-1-111-1-11-222-200−333−300001-1-11−33−333−33−30000−i3−i3i3i3i3i3−i3−i300−2i2i00i−ii−i000000000000
χ5422-2-2-22-12-2-22211-121-1-11-2-2-1-22111-1-1-111-1-11-222-200−333−300001-1-11−33−333−33−30000i3i3−i3−i3−i3−i3i3i3002i−2i00−ii−ii000000000000
χ55444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222224-4-2-222-2-222-1-1-1-11111-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222-4422-2-222-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ594444-4-4-244-44-422-24-222-244-2-4-4-22222-2-2-2-22244-4-40000000000-2-222000000000000000000000000000000000000000000
χ604444-4-4-24-44-4422-24-222-244-2-4-4-22222-2-222-2-2-4-444000000000022-2-2000000000000000000000000000000000000000000
χ614444-4-4-2-24-44-422-2-2-222-2-2-21221-1-1-1-111-2-222-2-222000000−2i32i3−2i32i311-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ624444-4-4-2-24-44-422-2-2-222-2-2-21221-1-1-1-111-2-222-2-2220000002i3−2i32i3−2i311-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ634444-4-4-2-2-44-4422-2-2-222-2-2-21221-1-1-1-11122-2-222-2-2000000−2i32i32i3−2i3-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ644444-4-4-2-2-44-4422-2-2-222-2-2-21221-1-1-1-11122-2-222-2-20000002i3−2i3−2i32i3-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6544-4-44-44-24-4-44444-2-4-4-4-422-2-222-2-222-224-44-4-22-220000000000-22-22000000000000000000000000000000000000000000
χ6644-4-44-44-2-444-4444-2-4-4-4-422-2-222-2-222-22-44-442-22-200000000002-22-2000000000000000000000000000000000000000000
χ6744-4-44-4-244-4-44-2-2-242222-4-4-24-42-2-222-22-22-224-44-40000000000-22-22000000000000000000000000000000000000000000
χ6844-4-44-4-24-444-4-2-2-242222-4-4-24-42-2-222-222-22-2-44-4400000000002-22-2000000000000000000000000000000000000000000
χ6944-4-44-4-2-24-4-44-2-2-2-22222221-22-111-1-11-1-22-22-22-2200000000001-11-13i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ7044-4-44-4-2-24-4-44-2-2-2-22222221-22-111-1-11-1-22-22-22-2200000000001-11-1−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000
χ7144-4-44-4-2-2-444-4-2-2-2-22222221-22-111-1-11-12-22-22-22-20000000000-11-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ7244-4-44-4-2-2-444-4-2-2-2-22222221-22-111-1-11-12-22-22-22-20000000000-11-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ7344-4-4-444-244-4-4-4-44-2-444-422-22-2222-2-2-224-4-44-222-20000000000-222-2000000000000000000000000000000000000000000
χ7444-4-4-444-2-4-444-4-44-2-444-422-22-2222-2-2-22-444-42-2-2200000000002-2-22000000000000000000000000000000000000000000
χ7544-4-4-44-2-244-4-422-2-22-2-222212-2-1-1-1111-1-222-2-222-20023−2323−2300001-1-11−33−33−33−330000000000000000000000000000000000
χ7644-4-4-44-2-244-4-422-2-22-2-222212-2-1-1-1111-1-222-2-222-200−2323−232300001-1-113−33−33−33−30000000000000000000000000000000000
χ7744-4-4-44-2-2-4-44422-2-22-2-222212-2-1-1-1111-12-2-222-2-220023−23−23230000-111-1−33−333−33−30000000000000000000000000000000000
χ7844-4-4-44-2-2-4-44422-2-22-2-222212-2-1-1-1111-12-2-222-2-2200−232323−230000-111-13−33−3−33−330000000000000000000000000000000000
χ794-44-40044000000-4-4400-4-44400-40000-440000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ804-44-40044000000-4-4400-4-44400-40000-44000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ814-44-400-240000−2i32i32-4-2−2i32i32-44-2002−2i32i3−2i32i32-20000000000000000000000000000002i−2i2i−2i2ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ110000000000000000000000
χ824-44-400-240000−2i32i32-4-2−2i32i32-44-2002−2i32i3−2i32i32-2000000000000000000000000000000−2i2i−2i2i−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ110000000000000000000000
χ834-44-400-2400002i3−2i32-4-22i3−2i32-44-20022i3−2i32i3−2i32-20000000000000000000000000000002i−2i2i−2i2ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ70000000000000000000000
χ844-44-400-2400002i3−2i32-4-22i3−2i32-44-20022i3−2i32i3−2i32-2000000000000000000000000000000−2i2i−2i2i−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ70000000000000000000000
χ854-4-440044000000-4-4-40044-440040000-4-40000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ864-4-440044000000-4-4-40044-440040000-4-4000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ874-4-4400-240000−2i32i32-422i3−2i3-24-4-200-2−2i32i32i3−2i3220000000000000000000000000000002i−2i−2i2i2ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ70000000000000000000000
χ884-4-4400-240000−2i32i32-422i3−2i3-24-4-200-2−2i32i32i3−2i322000000000000000000000000000000−2i2i2i−2i−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ70000000000000000000000
χ894-4-4400-2400002i3−2i32-42−2i32i3-24-4-200-22i3−2i3−2i32i3220000000000000000000000000000002i−2i−2i2i2ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ110000000000000000000000
χ904-4-4400-2400002i3−2i32-42−2i32i3-24-4-200-22i3−2i3−2i32i322000000000000000000000000000000−2i2i2i−2i−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ110000000000000000000000
χ918-88-8008-4000000-84800-84-4-400400004-40000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000−4i34i344-4−4i34i344-4200-22i3−2i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-400004i3−4i344-44i3−4i344-4200-2−2i32i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000
χ948-8-88008-4000000-84-8008-44-400-40000440000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-40000−4i34i34444i3−4i3-4-4420022i3−2i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004i3−4i3444−4i34i3-4-442002−2i32i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.