Finite Group Databasebeta

← Group #11787082

Character table — Group #11787082

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222222222336666666666366666666666666666446666121212121212121212121212121212122244444444441212121212121212446612121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ911-1-11-1-111-1111-1-1-1-111-11-1111-1-11-1-1-11-1-1-1-111111-111-1-111-1-1111111-1-1-1-1-1-11-11-1i−ii−iii−i−iiiii−i−i−i−i1-11-11-1i−ii−i11-1-1i−ii−ii−i
χ1011-1-11-1-111-1111-1-1-1-111-11-1111-1-11-1-1-11-1-1-1-111111-111-1-111-1-1111111-1-1-1-1-1-11-11-1−ii−ii−i−iii−i−i−i−iiiii1-11-11-1−ii−ii11-1-1−ii−ii−ii
χ1111-1-11-1-111-1111-1-1-1-111-11-1111-1-11-1-1-11-1-1-1-111111-111-1-111-1-1111111-1-1-1-1-1-1-11-11i−ii−iii−i−iiiii−i−i−i−i-11-11-11i−ii−i-1-111−ii−ii−ii
χ1211-1-11-1-111-1111-1-1-1-111-11-1111-1-11-1-1-11-1-1-1-111111-111-1-111-1-1111111-1-1-1-1-1-1-11-11−ii−ii−i−iii−i−i−i−iiiii-11-11-11−ii−ii-1-111i−ii−ii−i
χ1311-1-11-1-111-1111-1-1-1-111-11-1111-1-11-1-1-11-1-1-1-11111-1111-1-1-1-111-1-1-1-1-1-11111111-11-1i−ii−i−i−iii−i−i−i−iiiii-111-11-1i−ii−i-1-111i−ii−i−ii
χ1411-1-11-1-111-1111-1-1-1-111-11-1111-1-11-1-1-11-1-1-1-11111-1111-1-1-1-111-1-1-1-1-1-11111111-11-1−ii−iiii−i−iiiii−i−i−i−i-111-11-1−ii−ii-1-111−ii−iii−i
χ1511-1-11-1-111-1111-1-1-1-111-11-1111-1-11-1-1-11-1-1-1-11111-1111-1-1-1-111-1-1-1-1-1-1111111-11-11i−ii−i−i−iii−i−i−i−iiiii1-1-11-11i−ii−i11-1-1−ii−iii−i
χ1611-1-11-1-111-1111-1-1-1-111-11-1111-1-11-1-1-11-1-1-1-11111-1111-1-1-1-111-1-1-1-1-1-1111111-11-11−ii−iiii−i−iiiii−i−i−i−i1-1-11-11−ii−ii11-1-1i−ii−i−ii
χ1722222222222-1222-1-1222-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000022-1-1-1-10000-1-1-1-1000000
χ1822222222222-1222-1-1222-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000-2-2111100001111000000
χ1922222222222-1222-1-1222-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111122220000000000000000-2-2-1-1-1-100001111000000
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χ232222222222-12-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-21111-2-2111100002222-2-2-2-211111111000000-1-1-1-10000000000
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χ3022222-2-2-2-222-12-2-2-1-1-2-22-12-12-22-2-1-111-1-1-111111100-11-110000−33−3−333−33−3−333-2-22200000000000000000011-1-100003−33−3000000
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χ4522-2-22-2-222-22-12-2-21122-2-1-2-122-2-2-1111-11111-1-1-1-12-2-1-11122-2-2-1-1-1-1-1-11111112-22-200000000000000002-2-11-110000-1-111000000
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χ934-4-44000000-242−2i32i3-442i3−2i32-4-2-20000000022-2−2i32i302i3−2i300000000000000000000000000000002-2-22−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000
χ944-4-44000000-242−2i32i3-442i3−2i32-4-2-20000000022-2−2i32i302i3−2i30000000000000000000000000000000-222-21−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000
χ954-4-44000000-2422i3−2i3-44−2i32i32-4-2-20000000022-22i3−2i30−2i32i300000000000000000000000000000002-2-22−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000
χ964-4-44000000-2422i3−2i3-44−2i32i32-4-2-20000000022-22i3−2i30−2i32i30000000000000000000000000000000-222-21+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000
χ978-88-80000008-4-800-440084-8-4000000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8000000-4-44−4i34i3-44−4i34i3-444200000000-22-22i3−2i302i3−2i3000000000000000000000000000000000000000000000000000000000000000
χ998-88-8000000-4-444i3−4i3-444i3−4i3-444200000000-22-2−2i32i30−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1008-8-880000008-4-8004-400-848-40000000044-400000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88000000-4-44−4i34i34-44i3−4i344-4200000000-2-222i3−2i30−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88000000-4-444i3−4i34-4−4i34i344-4200000000-2-22−2i32i302i3−2i3000000000000000000000000000000000000000000000000000000000000000

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