Finite Group Databasebeta

← Group #11859274

Character table — Group #11859274

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222244444444444444444444888888888888888888888888999999991818181818181818181818181818181818181818363636363636363636363636
order122244444444223344666666121212121212121266666666121212121212121212121212121212122222444444448888888888888888224488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii
χ5111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111−i−i−i−iiiii
χ8111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111iiii−i−i−i−i
χ911111111-1-1-1-11-1111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ1011111111-1-1-1-11-1111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-111
χ1111111111-1-1-1-11-1111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11-11ii−i−i−i−iii
χ1211111111-1-1-1-11-1111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11-11−i−iiiii−i−i
χ1311111111-1-1-1-1-1111-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ1411111111-1-1-1-1-1111-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1
χ1511111111-1-1-1-1-1111-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-11-1−i−iiiii−i−i
χ1611111111-1-1-1-1-1111-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-11-1ii−i−i−i−iii
χ171111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1i−ii−ii−ii−i
χ181111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-1−ii−ii−ii−ii
χ191111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1111-11-1-11-11
χ201111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-11-111-11-1
χ211111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-1-111−ii−ii−ii−ii
χ221111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii-1-111i−ii−ii−ii−i
χ231111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-11-111-11-1
χ241111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-111-1-11-11-1-11-11
χ251111-1-1-1-1-1-1111-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iii1-1-11i−i−iii−i−ii
χ261111-1-1-1-1-1-1111-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i1-1-11−iii−i−iii−i
χ271111-1-1-1-1-1-1111-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-111-11-1-11-111-1
χ281111-1-1-1-1-1-1111-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-111-1-111-11-1-11
χ291111-1-1-1-1-1-111-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-111-1−iii−i−iii−i
χ301111-1-1-1-1-1-111-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-111-1i−i−iii−i−ii
χ311111-1-1-1-1-1-111-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-11-1-11-111-11-1-11
χ321111-1-1-1-1-1-111-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1111-1-111-1-11-111-1
χ3322-2-22i2i−2i−2i000000220022-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000022-2-22i−2i2i−2i00002ζ−2ζ2ζ3−2ζ32ζ−2ζ2ζ3−2ζ300000000000000000000
χ3422-2-22i2i−2i−2i000000220022-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000022-2-22i−2i2i−2i0000−2ζ2ζ−2ζ32ζ3−2ζ2ζ−2ζ32ζ300000000000000000000
χ3522-2-22i2i−2i−2i000000220022-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000-2-222−2i2i−2i2i00002ζ3−2ζ3−2ζ2ζ−2ζ32ζ32ζ−2ζ00000000000000000000
χ3622-2-22i2i−2i−2i000000220022-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000-2-222−2i2i−2i2i0000−2ζ32ζ32ζ−2ζ2ζ3−2ζ3−2ζ2ζ00000000000000000000
χ3722-2-2−2i−2i2i2i000000220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000022-2-2−2i2i−2i2i00002ζ3−2ζ32ζ−2ζ2ζ3−2ζ32ζ−2ζ00000000000000000000
χ3822-2-2−2i−2i2i2i000000220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000022-2-2−2i2i−2i2i0000−2ζ32ζ3−2ζ2ζ−2ζ32ζ3−2ζ2ζ00000000000000000000
χ3922-2-2−2i−2i2i2i000000220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000-2-2222i−2i2i−2i00002ζ−2ζ−2ζ32ζ3−2ζ2ζ2ζ3−2ζ300000000000000000000
χ4022-2-2−2i−2i2i2i000000220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000-2-2222i−2i2i−2i0000−2ζ2ζ2ζ3−2ζ32ζ−2ζ−2ζ32ζ300000000000000000000
χ412-22-22i−2i2i−2i2-22i−2i002200-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000022-2-22i2i−2i−2i000000002-22-22i−2i−2i2i2-22i−2i0000000000000000000000000000
χ422-22-22i−2i2i−2i2-22i−2i002200-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000022-2-22i2i−2i−2i00000000-22-22−2i2i2i−2i-22−2i2i0000000000000000000000000000
χ432-22-22i−2i2i−2i-22−2i2i002200-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000-2-222−2i−2i2i2i000000002-22-22i−2i−2i2i-22−2i2i0000000000000000000000000000
χ442-22-22i−2i2i−2i-22−2i2i002200-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000-2-222−2i−2i2i2i00000000-22-22−2i2i2i−2i2-22i−2i0000000000000000000000000000
χ452-22-2−2i2i−2i2i2-2−2i2i002200-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000022-2-2−2i−2i2i2i000000002-22-2−2i2i2i−2i2-2−2i2i0000000000000000000000000000
χ462-22-2−2i2i−2i2i2-2−2i2i002200-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000022-2-2−2i−2i2i2i00000000-22-222i−2i−2i2i-222i−2i0000000000000000000000000000
χ472-22-2−2i2i−2i2i-222i−2i002200-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000-2-2222i2i−2i−2i000000002-22-2−2i2i2i−2i-222i−2i0000000000000000000000000000
χ482-22-2−2i2i−2i2i-222i−2i002200-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000-2-2222i2i−2i−2i00000000-22-222i−2i−2i2i2-2−2i2i0000000000000000000000000000
χ492-2-222-2-220000002200-2-2-2-22222-2-2-2-2220000000000000000000000002-2-2222-2-20000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ502-2-222-2-220000002200-2-2-2-22222-2-2-2-2220000000000000000000000002-2-2222-2-2000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ512-2-222-2-220000002200-2-2-2-22222-2-2-2-222000000000000000000000000-222-2-2-2220000000000002-22-2-22-22000000000000
χ522-2-222-2-220000002200-2-2-2-22222-2-2-2-222000000000000000000000000-222-2-2-222000000000000-22-222-22-2000000000000
χ532-2-22-222-20000002200-2-2-2-222-2-22222-2-20000000000000000000000002-2-22-2-2220000000000002-2-222-2-22000000000000
χ542-2-22-222-20000002200-2-2-2-222-2-22222-2-20000000000000000000000002-2-22-2-222000000000000-222-2-222-2000000000000
χ552-2-22-222-20000002200-2-2-2-222-2-22222-2-2000000000000000000000000-222-222-2-20000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ562-2-22-222-20000002200-2-2-2-222-2-22222-2-2000000000000000000000000-222-222-2-2000000000000−2i2i2i−2i2i−2i−2i2i000000000000
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χ714444-4-4-4-4-4-444-441-24-41-21-21-2-12-12-12-12-1-12211-2-2-12-121-21-211-2-2-1-1220000000000000000000000000000000000000000
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χ734-44-44i−4i4i−4i4-44i−4i001-200-121-2-12i−2i−i2ii−2i−i2i3-3003-3001-2-12i−2i−i2i3i−3i003i−3i000000000000000000000000000000000000000000
χ744-44-44i−4i4i−4i4-44i−4i001-200-121-2-12i−2i−i2ii−2i−i2i-3300-33001-2-12i−2i−i2i−3i3i00−3i3i000000000000000000000000000000000000000000
χ754-44-44i−4i4i−4i4-44i−4i00-21002-1-212-1−2ii2i−i−2ii2i−i003-3003-3-212-1−2ii2i−i003i−3i003i−3i0000000000000000000000000000000000000000
χ764-44-44i−4i4i−4i4-44i−4i00-21002-1-212-1−2ii2i−i−2ii2i−i00-3300-33-212-1−2ii2i−i00−3i3i00−3i3i0000000000000000000000000000000000000000
χ774-44-44i−4i4i−4i-44−4i4i001-200-121-2-12i−2i−i2ii−2i−i2i3-300-3300-121-2−i2ii−2i3i−3i00−3i3i000000000000000000000000000000000000000000
χ784-44-44i−4i4i−4i-44−4i4i001-200-121-2-12i−2i−i2ii−2i−i2i-33003-300-121-2−i2ii−2i−3i3i003i−3i000000000000000000000000000000000000000000
χ794-44-44i−4i4i−4i-44−4i4i00-21002-1-212-1−2ii2i−i−2ii2i−i003-300-332-1-212i−i−2ii003i−3i00−3i3i0000000000000000000000000000000000000000
χ804-44-44i−4i4i−4i-44−4i4i00-21002-1-212-1−2ii2i−i−2ii2i−i00-33003-32-1-212i−i−2ii00−3i3i003i−3i0000000000000000000000000000000000000000
χ814-44-4−4i4i−4i4i4-4−4i4i001-200-121-2-12−i2ii−2i−i2ii−2i3-3003-3001-2-12−i2ii−2i−3i3i00−3i3i000000000000000000000000000000000000000000
χ824-44-4−4i4i−4i4i4-4−4i4i001-200-121-2-12−i2ii−2i−i2ii−2i-3300-33001-2-12−i2ii−2i3i−3i003i−3i000000000000000000000000000000000000000000
χ834-44-4−4i4i−4i4i4-4−4i4i00-21002-1-212-12i−i−2ii2i−i−2ii003-3003-3-212-12i−i−2ii00−3i3i00−3i3i0000000000000000000000000000000000000000
χ844-44-4−4i4i−4i4i4-4−4i4i00-21002-1-212-12i−i−2ii2i−i−2ii00-3300-33-212-12i−i−2ii003i−3i003i−3i0000000000000000000000000000000000000000
χ854-44-4−4i4i−4i4i-444i−4i001-200-121-2-12−i2ii−2i−i2ii−2i3-300-3300-121-2i−2i−i2i−3i3i003i−3i000000000000000000000000000000000000000000
χ864-44-4−4i4i−4i4i-444i−4i001-200-121-2-12−i2ii−2i−i2ii−2i-33003-300-121-2i−2i−i2i3i−3i00−3i3i000000000000000000000000000000000000000000
χ874-44-4−4i4i−4i4i-444i−4i00-21002-1-212-12i−i−2ii2i−i−2ii003-300-332-1-21−2ii2i−i00−3i3i003i−3i0000000000000000000000000000000000000000
χ884-44-4−4i4i−4i4i-444i−4i00-21002-1-212-12i−i−2ii2i−i−2ii00-33003-32-1-21−2ii2i−i003i−3i00−3i3i0000000000000000000000000000000000000000
χ8988-8-88i8i−8i−8i0000002-4002-4-24-242i−4i2i−4i−2i4i−2i4i0000000000000000000000000000000000000000000000000000000000000000
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χ9188-8-8−8i−8i8i8i0000002-4002-4-24-24−2i4i−2i4i2i−4i2i−4i0000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8−8i−8i8i8i000000-4200-424-24-24i−2i4i−2i−4i2i−4i2i0000000000000000000000000000000000000000000000000000000000000000
χ938-8-888-8-880000002-400-24-242-42-4-24-242-40000000000000000000000000000000000000000000000000000000000000000
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χ968-8-88-888-8000000-42004-24-2-424-2-42-424-20000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.