Finite Group Databasebeta

← Group #10897664

Character table — Group #10897664

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222444444444444444444444444444444444444448888888888888888888888242424242424242448484848
order124422234444444666121212121212121212121212446688888888888812121212121224242424242424242424242424242424244466881212121212122424242424242424224488884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-11-1
χ411111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-11
χ51111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11-11-111-1-1-11-11
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-11-11-1-1111-11-1
χ911111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11-11-1-1-111-111-1
χ1011111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-11-1111-1-11-1-11
χ1111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ1211111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ1311111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-11-11-1-1-1111-1-11
χ1411111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-11-1111-1-1-111-1
χ1511111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ1611111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ172222222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-211111111111111000000000000
χ192222222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-11111111111111111-2-2-2-21122111111-1-1-1-1-1-1-1-1000000000000
χ202222222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111111111112222-1-1-2-2-1-1-1-1-1-111111111000000000000
χ212222222-1-2-2-2-2222-1-1-111111111-1-1-1-1-2-2-1-122222222-2-2-2-2-1-11111-1-1-1-1-1-1-1-111111111-2-22211-2-2-1-1-1-111-1-1-1-11111000000000000
χ222222222-1-2-2-2-2222-1-1-111111111-1-1-1-1-2-2-1-12222-2-2-2-2-2-2-2-2-1-11111-1-1-1-1-1-1-1-11111111122-2-2-1-1221111-1-11111-1-1-1-1000000000000
χ232222222-1-2-2-2-2222-1-1-111111111-1-1-1-1-2-2-1-1-2-2-2-222222222-1-1111111111111-1-1-1-1-1-1-1-122-2-2-1-1-2-21111-1-1-1-1-1-11111000000000000
χ242222222-1-2-2-2-2222-1-1-111111111-1-1-1-1-2-2-1-1-2-2-2-2-2-2-2-22222-1-1111111111111-1-1-1-1-1-1-1-1-2-2221122-1-1-1-1111111-1-1-1-1000000000000
χ2522222-2-2222222-2-2222222222222222-2-2-2-2000022-2-20000-2-2-2-2-2-200000000000000000000002-200000022-2-222-2-2000000000000
χ2622222-2-2222222-2-2222222222222222-2-2-2-20000-2-2220000-2-2-2-2-2-20000000000000000000000-22000000-2-222-2-222000000000000
χ2722222-2-22-2-2-2-22-2-2222-2-2-2-2-2-2-2-2222222-2-2000022-2-20000-2-222220000000000000000000000-2200000022-2-2-2-222000000000000
χ2822222-2-22-2-2-2-22-2-2222-2-2-2-2-2-2-2-2222222-2-20000-2-2220000-2-2222200000000000000000000002-2000000-2-22222-2-2000000000000
χ2922222-2-2-122222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211000022-2-20000111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000−i3i32-2−i3−i3i3i3−i3i3-1-111-1-111000000000000
χ3022222-2-2-122222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211000022-2-20000111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000i3−i32-2i3i3−i3−i3i3−i3-1-111-1-111000000000000
χ3122222-2-2-122222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2110000-2-2220000111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000i3−i3-22i3i3−i3−i3i3−i311-1-111-1-1000000000000
χ3222222-2-2-122222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2110000-2-2220000111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3i3-22−i3−i3i3i3−i3i311-1-111-1-1000000000000
χ3322222-2-2-1-2-2-2-22-2-2-1-1-111111111-1-1-1-12211000022-2-2000011-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i30000i3−i3-22−i3−i3i3i3i3−i3-1-11111-1-1000000000000
χ3422222-2-2-1-2-2-2-22-2-2-1-1-111111111-1-1-1-12211000022-2-2000011-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i30000−i3i3-22i3i3−i3−i3−i3i3-1-11111-1-1000000000000
χ3522222-2-2-1-2-2-2-22-2-2-1-1-111111111-1-1-1-122110000-2-222000011-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i30000−i3i32-2i3i3−i3−i3−i3i311-1-1-1-111000000000000
χ3622222-2-2-1-2-2-2-22-2-2-1-1-111111111-1-1-1-122110000-2-222000011-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i30000i3−i32-2−i3−i3i3i3i3−i311-1-1-1-111000000000000
χ3722-2-222220000-2-2-222200000000-2-2-2-200222i2i−2i−2i2i−2i2i−2i0000-2-200002i2i−2i−2i2i2i−2i−2i00000000002-200002-22-2002i−2i2i−2i0000000000000000
χ3822-2-222220000-2-2-222200000000-2-2-2-200222i2i−2i−2i−2i2i−2i2i0000-2-200002i2i−2i−2i2i2i−2i−2i0000000000-220000-22-2200−2i2i−2i2i0000000000000000
χ3922-2-222220000-2-2-222200000000-2-2-2-20022−2i−2i2i2i2i−2i2i−2i0000-2-20000−2i−2i2i2i−2i−2i2i2i0000000000-220000-22-22002i−2i2i−2i0000000000000000
χ4022-2-222220000-2-2-222200000000-2-2-2-20022−2i−2i2i2i−2i2i−2i2i0000-2-20000−2i−2i2i2i−2i−2i2i2i00000000002-200002-22-200−2i2i−2i2i0000000000000000
χ4122-2-2222-10000-2-2-2-1-1-1−i3−i3−i3−i3i3i3i3i3111100-1-12i2i−2i−2i2i−2i2i−2i000011−i3−i3i3i3−i−iii−i−iii33−3−333−3−3002-2−i3i300-11-11i3−i3−ii−ii3−33−3000000000000
χ4222-2-2222-10000-2-2-2-1-1-1−i3−i3−i3−i3i3i3i3i3111100-1-12i2i−2i−2i−2i2i−2i2i000011−i3−i3i3i3−i−iii−i−iii33−3−333−3−300-22i3−i3001-11-1−i3i3i−ii−i−33−33000000000000
χ4322-2-2222-10000-2-2-2-1-1-1−i3−i3−i3−i3i3i3i3i3111100-1-1−2i−2i2i2i2i−2i2i−2i000011−i3−i3i3i3ii−i−iii−i−i−3−333−3−33300-22i3−i3001-11-1−i3i3−ii−ii3−33−3000000000000
χ4422-2-2222-10000-2-2-2-1-1-1−i3−i3−i3−i3i3i3i3i3111100-1-1−2i−2i2i2i−2i2i−2i2i000011−i3−i3i3i3ii−i−iii−i−i−3−333−3−333002-2−i3i300-11-11i3−i3i−ii−i−33−33000000000000
χ4522-2-2222-10000-2-2-2-1-1-1i3i3i3i3−i3−i3−i3−i3111100-1-12i2i−2i−2i2i−2i2i−2i000011i3i3−i3−i3−i−iii−i−iii−3−333−3−333002-2i3−i300-11-11−i3i3−ii−ii−33−33000000000000
χ4622-2-2222-10000-2-2-2-1-1-1i3i3i3i3−i3−i3−i3−i3111100-1-12i2i−2i−2i−2i2i−2i2i000011i3i3−i3−i3−i−iii−i−iii−3−333−3−33300-22−i3i3001-11-1i3−i3i−ii−i3−33−3000000000000
χ4722-2-2222-10000-2-2-2-1-1-1i3i3i3i3−i3−i3−i3−i3111100-1-1−2i−2i2i2i2i−2i2i−2i000011i3i3−i3−i3ii−i−iii−i−i33−3−333−3−300-22−i3i3001-11-1i3−i3−ii−ii−33−33000000000000
χ4822-2-2222-10000-2-2-2-1-1-1i3i3i3i3−i3−i3−i3−i3111100-1-1−2i−2i2i2i−2i2i−2i2i000011i3i3−i3−i3ii−i−iii−i−i33−3−333−3−3002-2i3−i300-11-11−i3i3i−ii−i3−33−3000000000000
χ4922-2-22-2-220000-22222200000000-2-2-2-200-2-200002i−2i−2i2i2i2i−2i−2i220000000000002i2i−2i−2i−2i−2i2i2i2-20022000000-2-22i−2i−2i2i0000000000000000
χ5022-2-22-2-220000-22222200000000-2-2-2-200-2-200002i−2i−2i2i−2i−2i2i2i22000000000000−2i−2i2i2i2i2i−2i−2i-2200-2-2000000222i−2i−2i2i0000000000000000
χ5122-2-22-2-220000-22222200000000-2-2-2-200-2-20000−2i2i2i−2i2i2i−2i−2i220000000000002i2i−2i−2i−2i−2i2i2i-2200-2-200000022−2i2i2i−2i0000000000000000
χ5222-2-22-2-220000-22222200000000-2-2-2-200-2-20000−2i2i2i−2i−2i−2i2i2i22000000000000−2i−2i2i2i2i2i−2i−2i2-20022000000-2-2−2i2i2i−2i0000000000000000
χ5322-2-22-2-2-10000-222-1-1-1−i3−i3−i3−i3i3i3i3i31111001100002i−2i−2i2i2i2i−2i−2i-1-1i3i3−i3−i333−3−3−3−333−i−iiiii−i−i2-200-1-100−i3i3i3−i311−iii−i3−3−33000000000000
χ5422-2-22-2-2-10000-222-1-1-1−i3−i3−i3−i3i3i3i3i31111001100002i−2i−2i2i−2i−2i2i2i-1-1i3i3−i3−i3−3−33333−3−3ii−i−i−i−iii-22001100i3−i3−i3i3-1-1−iii−i3−3−33000000000000
χ5522-2-22-2-2-10000-222-1-1-1−i3−i3−i3−i3i3i3i3i3111100110000−2i2i2i−2i2i2i−2i−2i-1-1i3i3−i3−i333−3−3−3−333−i−iiiii−i−i-22001100i3−i3−i3i3-1-1i−i−ii−333−3000000000000
χ5622-2-22-2-2-10000-222-1-1-1−i3−i3−i3−i3i3i3i3i3111100110000−2i2i2i−2i−2i−2i2i2i-1-1i3i3−i3−i3−3−33333−3−3ii−i−i−i−iii2-200-1-100−i3i3i3−i311i−i−ii−333−3000000000000
χ5722-2-22-2-2-10000-222-1-1-1i3i3i3i3−i3−i3−i3−i31111001100002i−2i−2i2i2i2i−2i−2i-1-1−i3−i3i3i3−3−33333−3−3−i−iiiii−i−i2-200-1-100i3−i3−i3i311−iii−i−333−3000000000000
χ5822-2-22-2-2-10000-222-1-1-1i3i3i3i3−i3−i3−i3−i31111001100002i−2i−2i2i−2i−2i2i2i-1-1−i3−i3i3i333−3−3−3−333ii−i−i−i−iii-22001100−i3i3i3−i3-1-1−iii−i−333−3000000000000
χ5922-2-22-2-2-10000-222-1-1-1i3i3i3i3−i3−i3−i3−i3111100110000−2i2i2i−2i2i2i−2i−2i-1-1−i3−i3i3i3−3−33333−3−3−i−iiiii−i−i-22001100−i3i3i3−i3-1-1i−i−ii3−3−33000000000000
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χ6122-2-2-22-222i2i−2i−2i22-22-2-22i2i−2i−2i2i2i−2i−2i22-2-22i−2i2-20000000000002-22i−2i2i−2i00000000000000000000000000000000000000020-2002i−2i0000
χ6222-2-2-22-222i2i−2i−2i22-22-2-22i2i−2i−2i2i2i−2i−2i22-2-22i−2i2-20000000000002-22i−2i2i−2i000000000000000000000000000000000000000-20200−2i2i0000
χ6322-2-2-22-22−2i−2i2i2i22-22-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i2i2-20000000000002-2−2i2i−2i2i00000000000000000000000000000000000000020-200−2i2i0000
χ6422-2-2-22-22−2i−2i2i2i22-22-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i2i2-20000000000002-2−2i2i−2i2i000000000000000000000000000000000000000-202002i−2i0000
χ6522-2-2-2-2222i2i−2i−2i2-222-2-22i2i−2i−2i2i2i−2i−2i22-2-2−2i2i-22000000000000-22−2i2i−2i2i0000000000000000000000000000000000000020-202i−2i000000
χ6622-2-2-2-2222i2i−2i−2i2-222-2-22i2i−2i−2i2i2i−2i−2i22-2-2−2i2i-22000000000000-22−2i2i−2i2i00000000000000000000000000000000000000-2020−2i2i000000
χ6722-2-2-2-222−2i−2i2i2i2-222-2-2−2i−2i2i2i−2i−2i2i2i22-2-22i−2i-22000000000000-222i−2i2i−2i0000000000000000000000000000000000000020-20−2i2i000000
χ6822-2-2-2-222−2i−2i2i2i2-222-2-2−2i−2i2i2i−2i−2i2i2i22-2-22i−2i-22000000000000-222i−2i2i−2i00000000000000000000000000000000000000-20202i−2i000000
χ694444-44-440000-4-444-4-400000000-4-444004-4000000000000-44000000000000000000000000000000000000000000000000000000
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χ724444-4-4440000-44-44-4-400000000-4-44400-440000000000004-4000000000000000000000000000000000000000000000000000000
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χ7844-4-4-4-44-2−4i−4i4i4i4-44-2222i2i−2i−2i2i2i−2i−2i-2-2224i−4i2-20000000000002-2−2i2i−2i2i00000000000000000000000000000000000000000000000000
χ794-44i−4i00042+2i−2−2i2−2i−2+2i000-4002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i004i−4i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000000000
χ804-44i−4i00042+2i−2−2i2−2i−2+2i000-4002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i004i−4i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000000000
χ814-44i−4i0004−2−2i2+2i−2+2i2−2i000-400−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i004i−4i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000000000
χ824-44i−4i0004−2−2i2+2i−2+2i2−2i000-400−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i004i−4i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000000000
χ834-44i−4i000-22+2i−2−2i2−2i−2+2i0002−2i32i3−2ζ4+2ζ142ζ4−2ζ14−2ζ4−2ζ142ζ4+2ζ14−2ζ20+2ζ222ζ20−2ζ22−2ζ20−2ζ222ζ20+2ζ2223−23−2i2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000−2ζ72ζ72ζ13−2ζ13−2ζ232ζ232ζ5−2ζ5−2ζ72ζ72ζ13−2ζ132ζ5−2ζ5−2ζ232ζ230000000000000000000000000000000000
χ844-44i−4i000-22+2i−2−2i2−2i−2+2i0002−2i32i3−2ζ4+2ζ142ζ4−2ζ14−2ζ4−2ζ142ζ4+2ζ14−2ζ20+2ζ222ζ20−2ζ22−2ζ20−2ζ222ζ20+2ζ2223−23−2i2i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000002ζ7−2ζ7−2ζ132ζ132ζ23−2ζ23−2ζ52ζ52ζ7−2ζ7−2ζ132ζ13−2ζ52ζ52ζ23−2ζ230000000000000000000000000000000000
χ854-44i−4i000-22+2i−2−2i2−2i−2+2i00022i3−2i3−2ζ20+2ζ222ζ20−2ζ22−2ζ20−2ζ222ζ20+2ζ22−2ζ4+2ζ142ζ4−2ζ14−2ζ4−2ζ142ζ4+2ζ14−2323−2i2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000−2ζ232ζ232ζ5−2ζ5−2ζ72ζ72ζ13−2ζ13−2ζ232ζ232ζ5−2ζ52ζ13−2ζ13−2ζ72ζ70000000000000000000000000000000000
χ864-44i−4i000-22+2i−2−2i2−2i−2+2i00022i3−2i3−2ζ20+2ζ222ζ20−2ζ22−2ζ20−2ζ222ζ20+2ζ22−2ζ4+2ζ142ζ4−2ζ14−2ζ4−2ζ142ζ4+2ζ14−2323−2i2i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000002ζ23−2ζ23−2ζ52ζ52ζ7−2ζ7−2ζ132ζ132ζ23−2ζ23−2ζ52ζ5−2ζ132ζ132ζ7−2ζ70000000000000000000000000000000000
χ874-44i−4i000-2−2−2i2+2i−2+2i2−2i0002−2i32i32ζ4−2ζ14−2ζ4+2ζ142ζ4+2ζ14−2ζ4−2ζ142ζ20−2ζ22−2ζ20+2ζ222ζ20+2ζ22−2ζ20−2ζ2223−23−2i2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000−2ζ72ζ72ζ13−2ζ13−2ζ232ζ232ζ5−2ζ52ζ7−2ζ7−2ζ132ζ13−2ζ52ζ52ζ23−2ζ230000000000000000000000000000000000
χ884-44i−4i000-2−2−2i2+2i−2+2i2−2i0002−2i32i32ζ4−2ζ14−2ζ4+2ζ142ζ4+2ζ14−2ζ4−2ζ142ζ20−2ζ22−2ζ20+2ζ222ζ20+2ζ22−2ζ20−2ζ2223−23−2i2i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000002ζ7−2ζ7−2ζ132ζ132ζ23−2ζ23−2ζ52ζ5−2ζ72ζ72ζ13−2ζ132ζ5−2ζ5−2ζ232ζ230000000000000000000000000000000000
χ894-44i−4i000-2−2−2i2+2i−2+2i2−2i00022i3−2i32ζ20−2ζ22−2ζ20+2ζ222ζ20+2ζ22−2ζ20−2ζ222ζ4−2ζ14−2ζ4+2ζ142ζ4+2ζ14−2ζ4−2ζ14−2323−2i2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000−2ζ232ζ232ζ5−2ζ5−2ζ72ζ72ζ13−2ζ132ζ23−2ζ23−2ζ52ζ5−2ζ132ζ132ζ7−2ζ70000000000000000000000000000000000
χ904-44i−4i000-2−2−2i2+2i−2+2i2−2i00022i3−2i32ζ20−2ζ22−2ζ20+2ζ222ζ20+2ζ22−2ζ20−2ζ222ζ4−2ζ14−2ζ4+2ζ142ζ4+2ζ14−2ζ4−2ζ14−2323−2i2i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000002ζ23−2ζ23−2ζ52ζ52ζ7−2ζ7−2ζ132ζ13−2ζ232ζ232ζ5−2ζ52ζ13−2ζ13−2ζ72ζ70000000000000000000000000000000000
χ914-4−4i4i00042−2i−2+2i2+2i−2−2i000-4002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i00−4i4i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000000000
χ924-4−4i4i00042−2i−2+2i2+2i−2−2i000-4002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i00−4i4i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000000000
χ934-4−4i4i0004−2+2i2−2i−2−2i2+2i000-400−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i00−4i4i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000000000
χ944-4−4i4i0004−2+2i2−2i−2−2i2+2i000-400−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i00−4i4i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000000000
χ954-4−4i4i000-22−2i−2+2i2+2i−2−2i0002−2i32i3−2ζ4−2ζ142ζ4+2ζ14−2ζ4+2ζ142ζ4−2ζ14−2ζ20−2ζ222ζ20+2ζ22−2ζ20+2ζ222ζ20−2ζ22−23232i−2i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000002ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ7−2ζ232ζ232ζ5−2ζ50000000000000000000000000000000000
χ964-4−4i4i000-22−2i−2+2i2+2i−2−2i0002−2i32i3−2ζ4−2ζ142ζ4+2ζ14−2ζ4+2ζ142ζ4−2ζ14−2ζ20−2ζ222ζ20+2ζ22−2ζ20+2ζ222ζ20−2ζ22−23232i−2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ72ζ23−2ζ23−2ζ52ζ50000000000000000000000000000000000
χ974-4−4i4i000-22−2i−2+2i2+2i−2−2i00022i3−2i3−2ζ20−2ζ222ζ20+2ζ22−2ζ20+2ζ222ζ20−2ζ22−2ζ4−2ζ142ζ4+2ζ14−2ζ4+2ζ142ζ4−2ζ1423−232i−2i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000002ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ23−2ζ72ζ72ζ13−2ζ130000000000000000000000000000000000
χ984-4−4i4i000-22−2i−2+2i2+2i−2−2i00022i3−2i3−2ζ20−2ζ222ζ20+2ζ22−2ζ20+2ζ222ζ20−2ζ22−2ζ4−2ζ142ζ4+2ζ14−2ζ4+2ζ142ζ4−2ζ1423−232i−2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ232ζ7−2ζ7−2ζ132ζ130000000000000000000000000000000000
χ994-4−4i4i000-2−2+2i2−2i−2−2i2+2i0002−2i32i32ζ4+2ζ14−2ζ4−2ζ142ζ4−2ζ14−2ζ4+2ζ142ζ20+2ζ22−2ζ20−2ζ222ζ20−2ζ22−2ζ20+2ζ22−23232i−2i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000002ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ23−2ζ132ζ132ζ7−2ζ72ζ23−2ζ23−2ζ52ζ50000000000000000000000000000000000
χ1004-4−4i4i000-2−2+2i2−2i−2−2i2+2i0002−2i32i32ζ4+2ζ14−2ζ4−2ζ142ζ4−2ζ14−2ζ4+2ζ142ζ20+2ζ22−2ζ20−2ζ222ζ20−2ζ22−2ζ20+2ζ22−23232i−2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ232ζ13−2ζ13−2ζ72ζ7−2ζ232ζ232ζ5−2ζ50000000000000000000000000000000000
χ1014-4−4i4i000-2−2+2i2−2i−2−2i2+2i00022i3−2i32ζ20+2ζ22−2ζ20−2ζ222ζ20−2ζ22−2ζ20+2ζ222ζ4+2ζ14−2ζ4−2ζ142ζ4−2ζ14−2ζ4+2ζ1423−232i−2i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000002ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ7−2ζ52ζ52ζ23−2ζ232ζ7−2ζ7−2ζ132ζ130000000000000000000000000000000000
χ1024-4−4i4i000-2−2+2i2−2i−2−2i2+2i00022i3−2i32ζ20+2ζ22−2ζ20−2ζ222ζ20−2ζ22−2ζ20+2ζ222ζ4+2ζ14−2ζ4−2ζ142ζ4−2ζ14−2ζ4+2ζ1423−232i−2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ72ζ5−2ζ5−2ζ232ζ23−2ζ72ζ72ζ13−2ζ130000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.