Finite Group Databasebeta

← Group #11865560

Character table — Group #11865560

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222444444444444444444444444444444121212121818242424242424242424243636361111222222222244444444444444444444444444444412121212181824242424242424242424363636
order12223344666666366688121212121212121224242424242424242424242424242424224444246666121212124882222664466666666668812121212121212122424242424242424242424242424242422444424666612121212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1111-1-1-1-111-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1111-1-1-1-111-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-11-1-1-11111-1-1-1-1-111111111111111111111111111111111111111111111-1-111-1-11-1-1-11111-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1-1
χ6111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-111
χ7111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-11111-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-11111-111
χ8111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1
χ9222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000220000000000-200222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000220000000000-200
χ10222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000-2-20000000000200222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000-2-20000000000200
χ1122222-12222-1-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022002000-1-1-1-10000022222-12222-1-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022002000-1-1-1-100000
χ1222222-12222-1-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-200011110000022222-12222-1-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2000111100000
χ1322222-12222-1-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-2111111111111002200-200011-1-10000022222-12222-1-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-2111111111111002200-200011-1-100000
χ1422222-12222-1-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-211111111111100-2-2002000-1-1110000022222-12222-1-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-211111111111100-2-2002000-1-11100000
χ152222-1222-1-1222-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122000002-1-10000-1-10002222-1222-1-1222-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122000002-1-10000-1-1000
χ162222-1222-1-1222-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200000-2110000110002222-1222-1-1222-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200000-211000011000
χ172222-1222-1-1222-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-2111111112200000-2-1-10000110002222-1222-1-1222-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-2111111112200000-2-1-1000011000
χ182222-1222-1-1222-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-211111111-2-2000002110000-1-10002222-1222-1-1222-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-211111111-2-2000002110000-1-1000
χ1922-2-2222-2-2-2-22-222-2-22002222-2-2-2-20000000000000000002i−2i000000002i−2i0000022-2-2222-2-2-2-22-222-2-22002222-2-2-2-20000000000000000002i−2i000000002i−2i00000
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χ2122-2-222-22-2-2-22-222-2-2200-2-2-2-2222200000000000000002-20000002-200000000022-2-222-22-2-2-22-222-2-2200-2-2-2-2222200000000000000002-20000002-2000000000
χ2222-2-222-22-2-2-22-222-2-2200-2-2-2-222220000000000000000-22000000-2200000000022-2-222-22-2-2-22-222-2-2200-2-2-2-222220000000000000000-22000000-22000000000
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χ2422-2-22-12-2-2-21-112-111-100-12-1-11-211000033−3−33333−3−3−3−300−2i2i000000i3−i3i−i0000022-2-22-12-2-2-21-112-111-100-12-1-11-211000033−3−33333−3−3−3−300−2i2i000000i3−i3i−i00000
χ2522-2-22-12-2-2-21-112-111-100-12-1-11-2110000−3−333−3−3−3−33333002i−2i000000i3−i3−ii0000022-2-22-12-2-2-21-112-111-100-12-1-11-2110000−3−333−3−3−3−33333002i−2i000000i3−i3−ii00000
χ2622-2-22-12-2-2-21-112-111-100-12-1-11-2110000−3−333−3−3−3−3333300−2i2i000000−i3i3i−i0000022-2-22-12-2-2-21-112-111-100-12-1-11-2110000−3−333−3−3−3−3333300−2i2i000000−i3i3i−i00000
χ2722-2-2-12-2211-22-2-1-111-100-21112-1-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i32-2000000-110000−i3i300022-2-2-12-2211-22-2-1-111-100-21112-1-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i32-2000000-110000−i3i3000
χ2822-2-2-12-2211-22-2-1-111-100-21112-1-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3-220000001-10000i3−i300022-2-2-12-2211-22-2-1-111-100-21112-1-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3-220000001-10000i3−i3000
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χ3022-2-2-12-2211-22-2-1-111-100-21112-1-1-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3-220000001-10000−i3i300022-2-2-12-2211-22-2-1-111-100-21112-1-1-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3-220000001-10000−i3i3000
χ312-22-222002-22-2-2-222-2-2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002i−2i000000000002−22-22-222002-22-2-2-222-2-2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002i−2i000000000002−2
χ322-22-222002-22-2-2-222-2-2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000−2i2i00000000000−222-22-222002-22-2-2-222-2-2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000−2i2i00000000000−22
χ332-22-222002-22-2-2-222-2-2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002i−2i00000000000−222-22-222002-22-2-2-222-2-2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002i−2i00000000000−22
χ342-22-222002-22-2-2-222-2-2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000−2i2i000000000002−22-22-222002-22-2-2-222-2-2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000−2i2i000000000002−2
χ3544444-2-4-444-2-2-24-2-2-2-2002-4222-4220000000000000000000000000000000000044444-2-4-444-2-2-24-2-2-2-2002-4222-42200000000000000000000000000000000000
χ364444-24-4-4-2-2444-2-2-2-2-200-4222-4222000000000000000000000000000000000004444-24-4-4-2-2444-2-2-2-2-200-4222-422200000000000000000000000000000000000
χ374444-2-244-2-2-2-2-2-2111144-2-211-2-211-2-2-2-2-2-2-2-21111111100000000000000000004444-2-244-2-2-2-2-2-2111144-2-211-2-211-2-2-2-2-2-2-2-2111111110000000000000000000
χ384444-2-244-2-2-2-2-2-21111-4-4-2-211-2-21122222222-1-1-1-1-1-1-1-100000000000000000004444-2-244-2-2-2-2-2-21111-4-4-2-211-2-21122222222-1-1-1-1-1-1-1-10000000000000000000
χ394444-2-2-4-4-2-2-2-2-2-211110022-1-122-1-1000000003i3i−3i−3i−3i−3i3i3i00000000000000000004444-2-2-4-4-2-2-2-2-2-211110022-1-122-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000
χ404444-2-2-4-4-2-2-2-2-2-211110022-1-122-1-100000000−3i−3i3i3i3i3i−3i−3i00000000000000000004444-2-2-4-4-2-2-2-2-2-211110022-1-122-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000
χ4144-4-44-2-44-4-42-224-222-2002-422-24-2-20000000000000000000000000000000000044-4-44-2-44-4-42-224-222-2002-422-24-2-200000000000000000000000000000000000
χ4244-4-4-244-422-44-4-2-222-2004-2-2-2-42220000000000000000000000000000000000044-4-4-244-422-44-4-2-222-2004-2-2-2-422200000000000000000000000000000000000
χ4344-4-4-2-24-4222-22-21-1-1100-2-21122-1-100002323−23−23−3−3−3−33333000000000000000000044-4-4-2-24-4222-22-21-1-1100-2-21122-1-100002323−23−23−3−3−3−333330000000000000000000
χ4444-4-4-2-24-4222-22-21-1-1100-2-21122-1-10000−23−2323233333−3−3−3−3000000000000000000044-4-4-2-24-4222-22-21-1-1100-2-21122-1-10000−23−2323233333−3−3−3−30000000000000000000
χ4544-4-4-2-2-44222-22-21-1-110022-1-1-2-211−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i3000000000000000000044-4-4-2-2-44222-22-21-1-110022-1-1-2-211−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i30000000000000000000
χ4644-4-4-2-2-44222-22-21-1-110022-1-1-2-2112i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i3000000000000000000044-4-4-2-2-44222-22-21-1-110022-1-1-2-2112i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i30000000000000000000
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χ484-44-44-2004-4-222-4-2-2222i2−2i2000000002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000004-44-44-2004-4-222-4-2-2222i2−2i2000000002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000
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χ504-44-4-2400-224-4-42-2-2222i2−2i200000000−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i200000000000000000004-44-4-2400-224-4-42-2-2222i2−2i200000000−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i20000000000000000000
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χ1204-4-444-200-4422-2-4-22-2200000000000000−i6i6i6−i6−i6i6−i6i6i6−i6i6−i60000000000000000000-444-4-42004-4-2-2242-22-200000000000000i6−i6−i6i6i6−i6i6−i6−i6i6−i6i60000000000000000000
χ1214-4-44-24002-2-4-442-22-2200000000006−6−6600006−6−666−6−660000000000000000000-444-42-400-2244-4-22-22-20000000000−666−60000−666−6−666−60000000000000000000
χ1224-4-44-24002-2-4-442-22-220000000000−666−60000−666−6−666−60000000000000000000-444-42-400-2244-4-22-22-200000000006−6−6600006−6−666−6−660000000000000000000
χ1234-4-44-2-2002-222-221-11-100003i−3i00−3i3i6−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ130000000000000000000-444-42200-22-2-22-2-11-110000−3i3i003i−3i−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ130000000000000000000
χ1244-4-44-2-2002-222-221-11-100003i−3i00−3i3i−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ130000000000000000000-444-42200-22-2-22-2-11-110000−3i3i003i−3i6−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ130000000000000000000
χ1254-4-44-2-2002-222-221-11-10000−3i3i003i−3i6−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ230000000000000000000-444-42200-22-2-22-2-11-1100003i−3i00−3i3i−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ230000000000000000000
χ1264-4-44-2-2002-222-221-11-10000−3i3i003i−3i−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ230000000000000000000-444-42200-22-2-22-2-11-1100003i−3i00−3i3i6−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ230000000000000000000

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