Finite Group Databasebeta

← Group #11868404

Character table — Group #11868404

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222224444444488888888888121212121212121212121212121212121818242424243672111122222222224444444488888888888121212121212121212121212121212121818242424243672
order1222334466666636661212121241212121212121212121244448888242424242424242444121212124422226644666666666612121212412121212121212121212444488882424242424242424441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ51111111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-11111111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ61111111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-111111111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-11
χ71111111111111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-11
χ81111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11-11111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1
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χ1322222-1222-12-1-12-1-1-1-1-12-12-2-2-211-1-11111002200-2-20000111100-1-1000022222-1222-12-1-12-1-1-1-1-12-12-2-2-211-1-11111002200-2-20000111100-1-10000
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χ172222-1222-12-122-1-1-1-1-12-12-1-211-2-2-1-111112200-2-200111100000000-1-1002222-1222-12-122-1-1-1-1-12-12-1-211-2-2-1-111112200-2-200111100000000-1-100
χ182222-1222-12-122-1-1-1-1-12-12-1-211-2-2-1-11111-2-2002200-1-1-1-10000000011002222-1222-12-122-1-1-1-1-12-12-1-211-2-2-1-11111-2-2002200-1-1-1-1000000001100
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χ58111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5911111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-111
χ60111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1
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χ641111111111111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-111-1-1-1-1111111-1-1111-1
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χ8522-2-2-122-2121-2-2-1-11-112-1-2103−300-113−33−3-22000000−3−333000000001-100-2-2221-2-22-1-2-12211-11-1-212-10−33001-1−33−332-200000033−3−300000000-1100
χ8622-2-2-122-2121-2-2-1-11-112-1-210−3300-11−33−332-2000000−3−33300000000-1100-2-2221-2-22-1-2-12211-11-1-212-103−3001-13−33−3-2200000033−3−3000000001-100
χ8722-2-2-122-2121-2-2-1-11-112-1-210−3300-11−33−33-2200000033−3−3000000001-100-2-2221-2-22-1-2-12211-11-1-212-103−3001-13−33−32-2000000−3−33300000000-1100
χ882-2-222200-2-222-2-22-2-220000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-2000000-222-2-2-20022-2-222-222-20000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-22000000
χ892-2-222200-2-222-2-22-2-220000000000000000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2-22000000-222-2-2-20022-2-222-222-20000000000000000000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i22-2000000
χ902-2-222200-2-222-2-22-2-220000000000000000000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2-22000000-222-2-2-20022-2-222-222-20000000000000000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i22-2000000
χ912-2-222200-2-222-2-22-2-220000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-2000000-222-2-2-20022-2-222-222-20000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-22000000
χ9244444-2-4-44-24-2-24-2-2-2-22-42-400000220000000000000000000000000000-4-4-4-4-4244-42-422-42222-24-2400000-2-20000000000000000000000000000
χ934444-24-4-4-24-244-2-2-2-2-2-42-4200000220000000000000000000000000000-4-4-4-42-4442-42-4-4222224-24-200000-2-20000000000000000000000000000
χ944444-2-244-2-2-2-2-2-21111-2-2-2-24-2-2-2-2111111000000000000000000000000-4-4-4-422-4-4222222-1-1-1-12222-42222-1-1-1-1-1-1000000000000000000000000
χ954444-2-244-2-2-2-2-2-21111-2-2-2-2-4222211-1-1-1-1000000000000000000000000-4-4-4-422-4-4222222-1-1-1-122224-2-2-2-2-1-11111000000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-21111222200000-1-13-3-33000000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-20000011-333-3000000000000000000000000
χ974444-2-2-4-4-2-2-2-2-2-21111222200000-1-1-333-3000000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-200000113-3-33000000000000000000000000
χ9844-4-44-24-4-4-2-4224-22-22-242-400000-220000000000000000000000000000-4-444-42-44424-2-2-42-22-22-4-24000002-20000000000000000000000000000
χ9944-4-4-24-44242-4-4-2-22-22-424-2000002-20000000000000000000000000000-4-4442-44-4-2-4-24422-22-24-2-4200000-220000000000000000000000000000
χ10044-4-4-2-24-42-2222-21-11-1-2-222023−23001-1−33−33000000000000000000000000-4-44422-44-22-2-2-22-11-1122-2-20−232300-113−33−3000000000000000000000000
χ10144-4-4-2-24-42-2222-21-11-1-2-2220−2323001-13−33−3000000000000000000000000-4-44422-44-22-2-2-22-11-1122-2-2023−2300-11−33−33000000000000000000000000
χ10244-4-4-2-2-442-2222-21-11-122-2-200023−23-11−3−333000000000000000000000000-4-444224-4-22-2-2-22-11-11-2-222000−23231-133−3−3000000000000000000000000
χ10344-4-4-2-2-442-2222-21-11-122-2-2000−2323-1133−3−3000000000000000000000000-4-444224-4-22-2-2-22-11-11-2-22200023−231-1−3−333000000000000000000000000
χ1044-44-444004-4-4-44-444-4-4000000000000000000000000000000000000000-44-44-4-400-4444-44-4-444000000000000000000000000000000000000000
χ1054-44-44-20042-42-2-4-2-2220000000000000000000000000006−6−6600000000-44-44-4200-4-24-22422-2-2000000000000000000000000000−666−600000000
χ1064-44-44-20042-42-2-4-2-222000000000000000000000000000−666−600000000-44-44-4200-4-24-22422-2-20000000000000000000000000006−6−6600000000
χ1074-44-4-2400-2-42-442-2-22200000000000000000000000i6−i6−i6i6000000000000-44-442-40024-24-4-222-2-200000000000000000000000−i6i6i6−i6000000000000
χ1084-44-4-2400-2-42-442-2-22200000000000000000000000−i6i6i6−i6000000000000-44-442-40024-24-4-222-2-200000000000000000000000i6−i6−i6i6000000000000
χ1094-4-444-200-424-22-4-222-2000000000000000000000−2i22i20000i2−i2i2−i200000000-444-4-42004-2-42-242-2-220000000000000000000002i2−2i20000−i2i2−i2i200000000
χ1104-4-444-200-424-22-4-222-20000000000000000000002i2−2i20000−i2i2−i2i200000000-444-4-42004-2-42-242-2-22000000000000000000000−2i22i20000i2−i2i2−i200000000
χ1114-4-44-24002-4-24-42-222-20000000000000000000−2i22i200i2−i2i2−i2000000000000-444-42-400-242-44-22-2-2200000000000000000002i2−2i200−i2i2−i2i2000000000000
χ1124-4-44-24002-4-24-42-222-200000000000000000002i2−2i200−i2i2−i2i2000000000000-444-42-400-242-44-22-2-220000000000000000000−2i22i200i2−i2i2−i2000000000000
χ1138-88-8-4-400-4444-4422-2-2000000000000000000000000000000000000000-88-8844004-4-4-44-4-2-222000000000000000000000000000000000000000
χ1148-8-88-4-40044-4-4442-2-22000000000000000000000000000000000000000-888-84400-4-444-4-4-222-2000000000000000000000000000000000000000

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