Finite Group Databasebeta

← Group #11794658

Character table — Group #11794658

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order122222223344446666666666666636666666121212121212121244121212121212121212121212121212121212121288888888242424242424242424242424242424242244666612121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ92222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000000022-2-200
χ102222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000000000000000000000000000000000-2-22200
χ11222222222-122222222-1-1-1-1-12-12-12-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ12222222222-122222222-1-1-1-1-12-12-12-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ13222222222-122222222-1-1-1-1-12-12-12-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ14222222222-122222222-1-1-1-1-12-12-12-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ1522222222-122222-1-1-1-122222-12-12-1-1-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ1622222222-122222-1-1-1-122222-12-12-1-1-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ1722222222-122222-1-1-1-122222-12-12-1-1-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ1822222222-122222-1-1-1-122222-12-12-1-1-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-1111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ1922-222-2-2-2222-22-22-2-2-222-2-2-222-2-22222-2-2-22-222-22-2-2-22000000000022-2-20000000000002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i000000000000000000
χ2022-222-2-2-2222-22-22-2-2-222-2-2-222-2-22222-2-2-22-222-22-2-2-22000000000022-2-2000000000000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i000000000000000000
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χ2622-222-2-2-22-1-22-222-2-2-2-1-11112-1-212-1-1-1111-11-2-221-1-121000000−3−33311-1-1−3−3−3−33333−2i−2i2i2i0000iiii−i−i−i−i000000000000−i3−i3i3i30000000000
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χ2822-222-2-2-2-122-22-2-111122-2-2-2-121-2-1-1-1-1111-11-1-112-2-2120033−3−30000-1-11133−3−333−3−30000−2i−2i2i2i00000000iiii−i−i−i−i00000000i3i3−i3−i3000000
χ2922-222-2-2-2-122-22-2-111122-2-2-2-121-2-1-1-1-1111-11-1-112-2-21200−3−3330000-1-111−3−333−3−33300002i2i−2i−2i00000000−i−i−i−iiiii00000000i3i3−i3−i3000000
χ3022-222-2-2-2-122-22-2-111122-2-2-2-121-2-1-1-1-1111-11-1-112-2-21200−3−3330000-1-111−3−333−3−3330000−2i−2i2i2i00000000iiii−i−i−i−i00000000−i3−i3i3i3000000
χ312-222-2-2-222222-2-2-22-2-2-2-22-2-22222-22-2-22-2-2222-2222-2-2-200000000002-22-200000000000000000000000000000000002i−2i00002i−2i2i−2i000000
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χ332-222-2-2-2222-2-222-22-2-2-2-22-2-22222-22-2-22-2-222-22-2-2-22220000000000-22-22000000000000000000000000000000002-2002-22-20000000000
χ342-222-2-2-2222-2-222-22-2-2-2-22-2-22222-22-2-22-2-222-22-2-2-22220000000000-22-2200000000000000000000000000000000-2200-22-220000000000
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χ402-222-2-2-22-1222-2-21-111-2-22-2-2-12-121-111-111-1-1-11-122-21-200−i3i3−i3i30000-11-11−i3i3i3−i3i3−i3−i3i30000000000000000−3−333−3−33300−2i2i0000i−ii−i000000
χ412-222-2-2-22-1222-2-21-111-2-22-2-2-12-121-111-111-1-1-11-122-21-200i3−i3i3−i30000-11-11i3−i3−i3i3−i3i3i3−i3000000000000000033−3−333−3−300−2i2i0000i−ii−i000000
χ422-222-2-2-22-1222-2-21-111-2-22-2-2-12-121-111-111-1-1-11-122-21-200i3−i3i3−i30000-11-11i3−i3−i3i3−i3i3i3−i30000000000000000−3−333−3−333002i−2i0000−ii−ii000000
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χ442-22-222-2-2220000-222-22-222-2-2-2-2-2222-222-2-2-2000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000-2200
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χ482-2-22-222-2222-2-22-2-222-2-2-22222-2-2-22-2-2-2222-22-2-22-222-2−2i2i−2i2i2i−2i−2i2i2i−2i2-2-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000
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χ532-2-22-222-22-12-2-22-2-222111-1-12-1-21-2-1111-1-1-112-2-2-11-121−2i2i−2i2i2i−2ii−i−ii-111-1i−ii−i−ii−ii0000000033−3−3−3−333000000000000i3−i3−i3i30000000000
χ542-2-22-222-22-12-2-22-2-222111-1-12-1-21-2-1111-1-1-112-2-2-11-121−2i2i−2i2i2i−2ii−i−ii-111-1i−ii−i−ii−ii00000000−3−33333−3−3000000000000−i3i3i3−i30000000000
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χ914-44-444-4-44-20000-444-4-22-2-22-42-424-2-22-2-2222000000000000000000000000000000−2i22i2−2i22i20000i2−i2i2−i2i2−i2i2−i200000000000000000000000000
χ924-44-444-4-44-20000-444-4-22-2-22-42-424-2-22-2-22220000000000000000000000000000002i2−2i22i2−2i20000−i2i2−i2i2−i2i2−i2i200000000000000000000000000
χ934-44-444-4-4-2400002-2-224-444-42-42-4-2-2-22-2-22220000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i2000000000000000000
χ944-44-444-4-4-2400002-2-224-444-42-42-4-2-2-22-2-222200000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i2000000000000000000
χ954-4-44-444-44-2-444-4-4-444222-2-24-2-42-4-2222-2-2-22-4442-22-4-200000000002-2-2200000000000000000000000000000000000000000000000000
χ964-4-44-444-4-24-444-422-2-2-4-4-444-242-42-2222-2-2-222-2-2-44-42400000000002-2-2200000000000000000000000000000000000000000000000000
χ974-4-44-444-4-2-24-4-4422-2-2222-2-2-2-22221-1-1-1111-1-222-22-2-224i−4i−2i2i2i−2i−2i2i2i−2i1-1-11i−ii−i−ii−ii000000000000000000000000000000000000000000
χ984-4-44-444-4-2-24-4-4422-2-2222-2-2-2-22221-1-1-1111-1-222-22-2-22−4i4i2i−2i−2i2i2i−2i−2i2i1-1-11−ii−iii−ii−i000000000000000000000000000000000000000000
χ994-4-44-444-4-2-2-444-422-2-2222-2-2-2-22221-1-1-1111-12-2-22-222-20000000000-111-13i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000000000
χ1004-4-44-444-4-2-2-444-422-2-2222-2-2-2-22221-1-1-1111-12-2-22-222-20000000000-111-1−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1014-4-4-44-4444-20000-4-4-44-2222-2-424-24-2-2222-22-200000000000000000000000000000022−22−22220000−22−222−22−200000000000000000000000000
χ1024-4-4-44-4444-20000-4-4-44-2222-2-424-24-2-2222-22-2000000000000000000000000000000−222222−2200002−22−2−22−2200000000000000000000000000
χ1034-4-4-44-444-240000222-24-4-4-442-4-24-2-2-2222-22-2000000000000000000000000000000000022−22−222200000000−22−222−22−2000000000000000000
χ1044-4-4-44-444-240000222-24-4-4-442-4-24-2-2-2222-22-20000000000000000000000000000000000−222222−22000000002−22−2−22−22000000000000000000
χ105888-8-8-88-8-4-40000-4-44-44-4-44-4444442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-40000-44-444-44-4444-4-442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-888-8-8-4-400004-4-44-44-4-444444-422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-40000444-4-4444-444-4-4-422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).