Finite Group Databasebeta

← Group #11787083

Character table — Group #11787083

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222222222336666666666366666666666666666446666121212121212121212121212121212122244444444441212121212121212446612121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ911-1-11-1-1-11111111-1-1-1-1-11-1111-1-111-1-1111-1-1-1-1-11i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-1i−iii−i−ii−iiiii−i−i−i−i1-11-11-1ii−i−i11-1-1i−ii−i1-1
χ1011-1-11-1-1-11111111-1-1-1-1-11-1111-1-111-1-1111-1-1-1-1-11i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-1−iiii−i−i−iiiiii−i−i−i−i-111-11-1−i−iii-1-111−ii−ii-11
χ1111-1-11-1-1-11111111-1-1-1-1-11-1111-1-111-1-1111-1-1-1-1-11i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i-11-11i−i−i−iiii−i−i−i−i−iiiii1-1-11-11ii−i−i11-1-1−ii−ii-11
χ1211-1-11-1-1-11111111-1-1-1-1-11-1111-1-111-1-1111-1-1-1-1-11i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i-11-11−ii−i−iii−ii−i−i−i−iiiii-11-11-11−i−iii-1-111i−ii−i1-1
χ1311-1-11-1-1-11111111-1-1-1-1-11-1111-1-111-1-1111-1-1-1-1-11−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii1-11-1i−i−i−iiii−i−i−i−i−iiiii-111-11-1ii−i−i-1-111i−ii−i-11
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χ1511-1-11-1-1-11111111-1-1-1-1-11-1111-1-111-1-1111-1-1-1-1-11−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii-11-11i−iii−i−ii−iiiii−i−i−i−i-11-11-11ii−i−i-1-111−ii−ii1-1
χ1611-1-11-1-1-11111111-1-1-1-1-11-1111-1-111-1-1111-1-1-1-1-11−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii-11-11−iiii−i−i−iiiiii−i−i−i−i1-1-11-11−i−iii11-1-1i−ii−i-11
χ1722222222222-12-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222200222200-1-1-1-1-1-1-1-100-1-1-1-100000000000000
χ1822222222222-12-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-200-2-2-2-2001111111100111100000000000000
χ1922222222222-12-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-21111-2-21111222200-2-2-2-2001111111100-1-1-1-100000000000000
χ2022222222222-12-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-21111-2-21111-2-2-2-200222200-1-1-1-1-1-1-1-100111100000000000000
χ212222222222-12-122222-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002200002200000000220000-1-1-1-1-1-1-1-1000000
χ222222222222-12-122222-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-20000-2-200000000-2-2000011111111000000
χ232222222222-12-122222-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111100002200002200000000-2-20000-1-1-1-11111000000
χ242222222222-12-122222-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110000-2-20000-2-2000000002200001111-1-1-1-1000000
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χ2922222-2-22-2-22-12-1-1-1-1-122-1-1-12-2-2-21111-1-1-1-1-12-1-1-2001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i322-2-200000000i3i3−i3−i3i3i3−i3−i300-1-11100000000000000
χ3022222-2-22-2-22-12-1-1-1-1-122-1-1-12-2-2-21111-1-1-1-1-12-1-1-2001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-2-22200000000−i3−i3i3i3−i3−i3i3i30011-1-100000000000000
χ312222-22-2-22-2222-2-22-2-222222-2-22-22-22-22-2-222-2-2-22002-22-20000000000000000000000000000000000000000000000000022-2-200
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χ342222-2-22-2-22222-2-22-2-222222-22-22-22-222-2-222-2-2-2-200-22-2200000000000000000000-2-200002200000000000000-22-220000000000
χ352222-2-22-2-22-12-1-2-22-2-2-1-122-11-11-1-22-22-111-1-11111001-11-100003−33−33−33−33−33−30000220000-2-200000000000000-11-113−33−3000000
χ362222-2-22-2-22-12-1-2-22-2-2-1-122-11-11-1-22-22-111-1-11111001-11-100003−33−33−33−33−33−30000-2-2000022000000000000001-11-1−33−33000000
χ372222-2-22-2-22-12-1-2-22-2-2-1-122-11-11-1-22-22-111-1-11111001-11-10000−33−33−33−33−33−330000220000-2-200000000000000-11-11−33−33000000
χ382222-2-22-2-22-12-1-2-22-2-2-1-122-11-11-1-22-22-111-1-11111001-11-10000−33−33−33−33−33−330000-2-2000022000000000000001-11-13−33−3000000
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χ4222-2-2222-2-2-22-12-1-1111-2-2-11-12-22211-1-1-1-1-111-211-20011-1-13−3−330033−3−300−3−333-222-200000000−3−33333−3−3001-1-1100000000000000
χ4322-2-2222-2-2-22-12-1-1111-2-2-11-12-22211-1-1-1-1-111-211-20011-1-1−333−300−3−3330033−3−32-2-2200000000−3−33333−3−300-111-100000000000000
χ4422-2-2222-2-2-22-12-1-1111-2-2-11-12-22211-1-1-1-1-111-211-20011-1-1−333−300−3−3330033−3−3-222-20000000033−3−3−3−333001-1-1100000000000000
χ4522-2-22-2-2-2222-12-1-1111-2-2-11-122-2-2-1-111-1-1-111-21122i−2i-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii2-22-2002i2i−2i−2i00−i−i−i−iiiii00-11-1100000000000000
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χ4922-2-22-2-2-222-12-122-2-2-2112-2-1-1-11122-2-2-1-1-111111-12i−2i-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii00002i−2i00002i−2i000000002-20000−i−iii-1-111000000
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χ5422-2-2-22-22-22222-2-2-222-2-22-22-222-2-222-22-2-2-2-2222-200-222-200000000000000000000−2i2i00002i−2i00000000000000−2i2i2i−2i0000000000
χ5522-2-2-22-22-22-12-1-2-2-222112-2-11-1-11-222-2-11111-1-1-11001-1-110000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i300002i−2i0000−2i2i00000000000000−iii−i−333−3000000
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χ924-4-4400000044-400-400-44-44400000000-400-4400000000000000000000000000000000-222-200-22-222-22-200000000000000000000
χ934-4-440000004-2-4−2i32i322i3−2i3-442-2-2000000002−2i32i32-202i3−2i3000000000000000000000000000002-2-2200−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000
χ944-4-440000004-2-4−2i32i322i3−2i3-442-2-2000000002−2i32i32-202i3−2i300000000000000000000000000000-222-2001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000
χ954-4-440000004-2-42i3−2i32−2i32i3-442-2-20000000022i3−2i32-20−2i32i3000000000000000000000000000002-2-2200−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000
χ964-4-440000004-2-42i3−2i32−2i32i3-442-2-20000000022i3−2i32-20−2i32i300000000000000000000000000000-222-2001−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000
χ978-88-8000000-48400800-44-8-8-400000000400-44000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8000000-4-44−4i34i3-4−4i34i3-4444200000000-22i3−2i32-202i3−2i3000000000000000000000000000000000000000000000000000000000000000
χ998-88-8000000-4-444i3−4i3-44i3−4i3-4444200000000-2−2i32i32-20−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88000000-48400-8004-4-88-4000000004004-4000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88000000-4-44−4i34i344i3−4i34-44-4200000000-22i3−2i3-220−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88000000-4-444i3−4i34−4i34i34-44-4200000000-2−2i32i3-2202i3−2i3000000000000000000000000000000000000000000000000000000000000000

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