Finite Group Databasebeta

← Group #11794253

Character table — Group #11794253

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222334444666666666636666666661212121212121212441212121212121212121212121212121212121212444412121212121212124444881212121212121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-111
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000002-2000000022-2-200000000
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000-220000000-2-22200000000
χ112222222-122222222-122-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000200222-1-1-1-10000-1-1-1-10000
χ122222222-122222222-122-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-200-2-2-21111000011110000
χ132222222-122222222-122-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2-2-2-1-1-1-1111111110000000000002002-2-2-1-1-1-1000011110000
χ142222222-122222222-122-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2-2-2-1-1-1-111111111000000000000-200-22211110000-1-1-1-10000
χ15222222-122222-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10220000000-1-1-1-100000000
χ16222222-122222-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110-2-20000000111100000000
χ17222222-122222-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-21111-1-1-1-1111111112222-1-1-1-1-1-1-1-10-2-20000000111100000000
χ18222222-122222-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-2111111110220000000-1-1-1-100000000
χ19222222-12-2-2-2-2-1-1-1-12-1-122-1-122-1-1-1-1-1-1-11111-2-2-2-2000000−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i302-20000000-1-11100000000
χ20222222-12-2-2-2-2-1-1-1-12-1-122-1-122-1-1-1-1-1-1-11111-2-2-2-2000000−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i30-22000000011-1-100000000
χ21222222-12-2-2-2-2-1-1-1-12-1-122-1-122-1-1-1-1-1-1-11111-2-2-2-2000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i30-22000000011-1-100000000
χ22222222-12-2-2-2-2-1-1-1-12-1-122-1-122-1-1-1-1-1-1-11111-2-2-2-2000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i302-20000000-1-11100000000
χ232222-2-2222-22-22-2-222-2-22222-2-22-2-2-2-22222-2-22-2-22000000000022-2-200000000000000000000200-20022-2-2000000000000
χ242222-2-2222-22-22-2-222-2-22222-2-22-2-2-2-22222-2-22-2-22000000000022-2-200000000000000000000-200200-2-222000000000000
χ252222-2-222-22-222-2-222-2-22222-2-22-2-2-2-222-2-222-222-20000000000-2-222000000000000000000000000000000000000002-200
χ262222-2-222-22-222-2-222-2-22222-2-22-2-2-2-222-2-222-222-20000000000-2-22200000000000000000000000000000000000000-2200
χ272222-2-22-12-22-22-2-22-1-2-2-1-12-111-11111-1-122-2-2-111-100−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i3000000000000200-200-1-1110000−i3−i3i3i30000
χ282222-2-22-12-22-22-2-22-1-2-2-1-12-111-11111-1-122-2-2-111-100−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i3000000000000-20020011-1-10000i3i3−i3−i30000
χ292222-2-22-12-22-22-2-22-1-2-2-1-12-111-11111-1-122-2-2-111-100i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i3000000000000200-200-1-1110000i3i3−i3−i30000
χ302222-2-22-12-22-22-2-22-1-2-2-1-12-111-11111-1-122-2-2-111-100i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i3000000000000-20020011-1-10000−i3−i3i3i30000
χ3122-2-22-2222-2-22-22222-2-2-2-2-222-2-222-2-22-22-22-222-2-200000000002-22-200000000000000000000000000000000000000002-2
χ3222-2-22-2222-2-22-22222-2-2-2-2-222-2-222-2-22-22-22-222-2-200000000002-22-20000000000000000000000000000000000000000-22
χ3322-2-22-222-222-2-22222-2-2-2-2-222-2-222-2-22-2-22-22-2-2220000000000-22-220000000000000000000000002-2000000002-22-20000
χ3422-2-22-222-222-2-22222-2-2-2-2-222-2-222-2-22-2-22-22-2-2220000000000-22-22000000000000000000000000-2200000000-22-220000
χ3522-2-22-22-1-222-2-2222-1-2-211-2-1-111-1-111-11-22-2211-1-1003−33−300001-11-13−33−33−33−300000000000000002-23−33−30000-11-110000
χ3622-2-22-22-1-222-2-2222-1-2-211-2-1-111-1-111-11-22-2211-1-1003−33−300001-11-13−33−33−33−30000000000000000-22−33−3300001-11-10000
χ3722-2-22-22-1-222-2-2222-1-2-211-2-1-111-1-111-11-22-2211-1-100−33−3300001-11-1−33−33−33−3300000000000000002-2−33−330000-11-110000
χ3822-2-22-22-1-222-2-2222-1-2-211-2-1-111-1-111-11-22-2211-1-100−33−3300001-11-1−33−33−33−330000000000000000-223−33−300001-11-10000
χ3922-2-2-222222-2-2-2-2-22222-2-2-22-22-2-2-2222-22-2-222-22-200000000002-2-220000000022-2-222-2-222-2-20000000000000000000000
χ4022-2-2-222222-2-2-2-2-22222-2-2-22-22-2-2-2222-22-2-222-22-200000000002-2-2200000000-2-222-2-222-2-2220000000000000000000000
χ4122-2-2-2222-2-222-2-2-22222-2-2-22-22-2-2-2222-2-222-2-22-222i−2i2i−2i−2i2i2i−2i2i−2i-222-22i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000
χ4222-2-2-2222-2-222-2-2-22222-2-2-22-22-2-2-2222-2-222-2-22-22−2i2i−2i2i2i−2i−2i2i−2i2i-222-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000
χ4322-2-2-222-1-2-222-2-2-22-12211-2-11-1111-1-1-11-222-21-11-12i−2i−iii−i2i−2i2i−2i1-1-11−iii−i−iii−i0000000000000000003−3−330000−i3i3i3−i30000
χ4422-2-2-222-1-2-222-2-2-22-12211-2-11-1111-1-1-11-222-21-11-12i−2i−iii−i2i−2i2i−2i1-1-11−iii−i−iii−i000000000000000000−333−30000i3−i3−i3i30000
χ4522-2-2-222-1-2-222-2-2-22-12211-2-11-1111-1-1-11-222-21-11-1−2i2ii−i−ii−2i2i−2i2i1-1-11i−i−iii−i−ii0000000000000000003−3−330000i3−i3−i3i30000
χ4622-2-2-222-1-2-222-2-2-22-12211-2-11-1111-1-1-11-222-21-11-1−2i2ii−i−ii−2i2i−2i2i1-1-11i−i−iii−i−ii000000000000000000−333−30000−i3i3i3−i30000
χ4722-2-2-22-1222-2-2111-12-1-1-2-21-1-22111-1-1-11-111-12-22-20000003−3−33-111-13−3−33−333−322-2-2-1-111-1-11100000000003−33−300000000
χ4822-2-2-22-1222-2-2111-12-1-1-2-21-1-22111-1-1-11-111-12-22-20000003−3−33-111-13−3−33−333−3-2-22211-1-111-1-10000000000−33−3300000000
χ4922-2-2-22-1222-2-2111-12-1-1-2-21-1-22111-1-1-11-111-12-22-2000000−333−3-111-1−333−33−3−3322-2-2-1-111-1-1110000000000−33−3300000000
χ5022-2-2-22-1222-2-2111-12-1-1-2-21-1-22111-1-1-11-111-12-22-2000000−333−3-111-1−333−33−3−33-2-22211-1-111-1-100000000003−33−300000000
χ5122-2-2-22-12-2-222111-12-1-1-2-21-1-22111-1-1-111-1-11-22-222i−2i2i−2i−2i2i−ii−ii1-1-11−iii−i−iii−i0000−i3−i3i3i3i3i3−i3−i300000000003−3−3300000000
χ5222-2-2-22-12-2-222111-12-1-1-2-21-1-22111-1-1-111-1-11-22-222i−2i2i−2i−2i2i−ii−ii1-1-11−iii−i−iii−i0000i3i3−i3−i3−i3−i3i3i30000000000−333−300000000
χ5322-2-2-22-12-2-222111-12-1-1-2-21-1-22111-1-1-111-1-11-22-22−2i2i−2i2i2i−2ii−ii−i1-1-11i−i−iii−i−ii0000−i3−i3i3i3i3i3−i3−i30000000000−333−300000000
χ5422-2-2-22-12-2-222111-12-1-1-2-21-1-22111-1-1-111-1-11-22-22−2i2i−2i2i2i−2ii−ii−i1-1-11i−i−iii−i−ii0000i3i3−i3−i3−i3−i3i3i300000000003−3−3300000000
χ554444444-2-4-4-4-44444-244-2-24-2-2-2-2-2-2-2-2-2-2-4-4-4-4222200000000002222000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222000000−2i3−2i32i32i3-1-1-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222220000002i32i3−2i3−2i3-1-1-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-4-44-2-44-444-4-44-2-4-4-2-24-222-22222-2-2-4-4442-2-22000000000022-2-2000000000000000000000000000000000000000000
χ614444-4-4-244-44-4-222-242244-2-2-4-4-22222-2-2-2-2224-4-440000000000-2-222000000000000000000000000000000000000000000
χ624444-4-4-24-44-44-222-242244-2-2-4-4-22222-2-222-2-2-444-4000000000022-2-2000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-222-2-222-2-2-21221-1-1-1-111-2-222-222-200−2i3−2i32i32i3000011-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-4-4-2-24-44-4-222-2-222-2-2-21221-1-1-1-111-2-222-222-2002i32i3−2i3−2i3000011-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-4-4-2-2-44-44-222-2-222-2-2-21221-1-1-1-11122-2-22-2-220000000000-1-11133-3-3-3-3330000000000000000000000000000000000
χ664444-4-4-2-2-44-44-222-2-222-2-2-21221-1-1-1-11122-2-22-2-220000000000-1-111-3-33333-3-30000000000000000000000000000000000
χ6744-4-44-44-24-4-44-4444-2-4-422-4-2-222-2-222-224-44-4-2-2220000000000-22-22000000000000000000000000000000000000000000
χ6844-4-44-4-244-4-442-2-2-2422-4-42-24-42-2-222-22-22-2244-4-40000000000-22-22000000000000000000000000000000000000000000
χ6944-4-44-4-24-444-42-2-2-2422-4-42-24-42-2-222-222-22-2-4-44400000000002-22-2000000000000000000000000000000000000000000
χ7044-4-44-4-2-24-4-442-2-2-2-2222221-22-111-1-11-1-22-22-2-22200000000001-11-13i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ7144-4-44-4-2-24-4-442-2-2-2-2222221-22-111-1-11-1-22-22-2-22200000000001-11-1−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ7244-4-44-4-2-2-444-42-2-2-2-2222221-22-111-1-11-12-22-222-2-20023−2323−230000-11-11−33−33−33−330000000000000000000000000000000000
χ7344-4-44-4-2-2-444-42-2-2-2-2222221-22-111-1-11-12-22-222-2-200−2323−23230000-11-113−33−33−33−30000000000000000000000000000000000
χ7444-4-4-444-244-4-4-4-4-44-24422-4-22-2222-2-2-224-4-44-22-220000000000-222-2000000000000000000000000000000000000000000
χ7544-4-4-44-2-244-4-4222-2-2-2-222212-2-1-1-1111-1-222-2-22-2200000023−23−23231-1-11−333−33−3−330000000000000000000000000000000000
χ7644-4-4-44-2-244-4-4222-2-2-2-222212-2-1-1-1111-1-222-2-22-22000000−232323−231-1-113−3−33−333−30000000000000000000000000000000000
χ7744-4-4-44-2-2-4-444222-2-2-2-222212-2-1-1-1111-12-2-222-22-24i−4i−2i2i2i−2i−2i2i−2i2i-111-1i−i−iii−i−ii0000000000000000000000000000000000
χ7844-4-4-44-2-2-4-444222-2-2-2-222212-2-1-1-1111-12-2-222-22-2−4i4i2i−2i−2i2i2i−2i2i−2i-111-1−iii−i−iii−i0000000000000000000000000000000000
χ794-44-400440000400-4-4004-4-440040000-4-40000000000000000000000000000002-22-22-22-22-22-20000000000000000000000
χ804-44-400440000400-4-4004-4-440040000-4-4000000000000000000000000000000-22-22-22-22-22-220000000000000000000000
χ814-44-400-240000-2−2i32i32-4−2i32i34-42-200-2−2i32i3−2i32i3220000000000000000000000000000002-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000000000000000000000
χ824-44-400-240000-2−2i32i32-4−2i32i34-42-200-2−2i32i3−2i32i322000000000000000000000000000000-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000000000000000000000
χ834-44-400-240000-22i3−2i32-42i3−2i34-42-200-22i3−2i32i3−2i3220000000000000000000000000000002-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000000000000000000000
χ844-44-400-240000-22i3−2i32-42i3−2i34-42-200-22i3−2i32i3−2i322000000000000000000000000000000-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000000000000000000000
χ854-4-4400440000-400-4-400-444400-40000-440000000000000000000000000000002-2-222-2-222-2-220000000000000000000000
χ864-4-4400440000-400-4-400-444400-40000-44000000000000000000000000000000-222-2-222-2-222-20000000000000000000000
χ874-4-4400-2400002−2i32i32-42i3−2i3-44-2-2002−2i32i32i3−2i32-20000000000000000000000000000002-2-22−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i30000000000000000000000
χ884-4-4400-2400002−2i32i32-42i3−2i3-44-2-2002−2i32i32i3−2i32-2000000000000000000000000000000-222-21−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i30000000000000000000000
χ894-4-4400-24000022i3−2i32-4−2i32i3-44-2-20022i3−2i3−2i32i32-20000000000000000000000000000002-2-22−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i30000000000000000000000
χ904-4-4400-24000022i3−2i32-4−2i32i3-44-2-20022i3−2i3−2i32i32-2000000000000000000000000000000-222-21+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i30000000000000000000000
χ918-88-8008-40000800-8400-44-8-400-40000440000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-4−4i34i344−4i34i3-44420022i3−2i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-40000-44i3−4i3444i3−4i3-4442002−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000
χ948-8-88008-40000-800-84004-48-400400004-40000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004−4i34i3444i3−4i34-4-4200-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044i3−4i344−4i34i34-4-4200-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000

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