Finite Group Databasebeta

← Group #11865645

Character table — Group #11865645

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222444444446688888888888121212121212121212121212122424242424363636361111222222222244444444668888888888812121212121212121212121212242424242436363636
order1222334466666636661212121244412121212121212121212444881212121224242424412121212448822226644666666666612121212444121212121212121212124448812121212242424244121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11-1-11111-1-1-1-1111-1-1-1-1-1-111111111111111111111111111111111111-1-11-1-11111-1-1-1-1111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-111
χ51111111111111111111111-1-11111111111111-111-1-1-1-11111-1-1-111-1-1-1-11111111111111111111111-1-11111111111111-111-1-1-1-11111-1-1-111-1-1-1-1
χ61111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-111
χ81111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1
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χ1122222-12222-1-12-1-1-1-1-12-1-1222222-1-1-1-1-1-1-1-100200-1-1-1-100002-1-100000022222-12222-1-12-1-1-1-1-12-1-1222222-1-1-1-1-1-1-1-100200-1-1-1-100002-1-1000000
χ1222222-12222-1-12-1-1-1-1-12-1-1222-2-2-211-1-1111100200-1-1-1-10000-21100000022222-12222-1-12-1-1-1-1-12-1-1222-2-2-211-1-1111100200-1-1-1-10000-211000000
χ1322222-12222-1-12-1-1-1-1-12-1-12-2-2222-1-1-1-1-1-1-1-100-20011110000-21100000022222-12222-1-12-1-1-1-1-12-1-12-2-2222-1-1-1-1-1-1-1-100-20011110000-211000000
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χ332-22-2-12-2211-2-2-12-111-11-22-1000i3−i3001-1i3−i3i3−i32-20000000i3−i3i3−i3000-1100002-22-2-12-2211-2-2-12-111-11-22-1000i3−i3001-1i3−i3i3−i32-20000000i3−i3i3−i3000-110000
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χ354444-24-4-4-2-244-24-2-2-2-22-4-42000000022000000000000000000000000004444-24-4-4-2-244-24-2-2-2-22-4-4200000002200000000000000000000000000
χ364444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-211111100000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-21111110000000000000000000000
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χ474-44-4-2-24-42222-2-21-1-11-2-22200000001-13-3-3300000000000000000000004-44-4-2-24-42222-2-21-1-11-2-22200000001-13-3-330000000000000000000000
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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
χ5911111111111111111111111111111111111-1-11-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1111111
χ60111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-111-1-1-1-11111111-1-1-1-111
χ61111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1
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χ641111111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-111111111111-1-1-1-1-111-1-1
χ651111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-11111-1-1-1-1-1-1-111-1-111
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χ862-22-222-22-2-2-2-2222-2-22-2-2220000000-2200002-2000000000000002-20000-22-22-2-22-22222-2-2-222-222-2-200000002-20000-2200000000000000-220000
χ872-22-222-22-2-2-2-2222-2-22-2-2220000000-220000-2200000000000000-220000-22-22-2-22-22222-2-2-222-222-2-200000002-200002-2000000000000002-20000
χ882-22-2-12-2211-2-2-12-111-11-22-1000−i3i3001-1−i3i3−i3i32-20000000−i3i3−i3i3000-110000-22-221-22-2-1-1221-21-1-11-12-21000i3−i300-11i3−i3i3−i3-220000000i3−i3i3−i30001-10000
χ892-22-2-12-2211-2-2-12-111-11-22-1000−i3i3001-1−i3i3−i3i3-220000000i3−i3i3−i30001-10000-22-221-22-2-1-1221-21-1-11-12-21000i3−i300-11i3−i3i3−i32-20000000−i3i3−i3i3000-110000
χ902-22-2-12-2211-2-2-12-111-11-22-1000i3−i3001-1i3−i3i3−i32-20000000i3−i3i3−i3000-110000-22-221-22-2-1-1221-21-1-11-12-21000−i3i300-11−i3i3−i3i3-220000000−i3i3−i3i30001-10000
χ912-22-2-12-2211-2-2-12-111-11-22-1000i3−i3001-1i3−i3i3−i3-220000000−i3i3−i3i30001-10000-22-221-22-2-1-1221-21-1-11-12-21000−i3i300-11−i3i3−i3i32-20000000i3−i3i3−i3000-110000
χ924444-24-4-4-2-244-24-2-2-2-22-4-4200000002200000000000000000000000000-4-4-4-42-44422-4-42-42222-244-20000000-2-200000000000000000000000000
χ934444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-21111110000000000000000000000-4-4-4-422-4-4222222-1-1-1-1222200-42222-1-1-1-1-1-10000000000000000000000
χ944444-2-244-2-2-2-2-2-21111-2-2-2-200-4222211-1-1-1-10000000000000000000000-4-4-4-422-4-4222222-1-1-1-12222004-2-2-2-2-1-111110000000000000000000000
χ954444-2-2-4-4-2-2-2-2-2-21111222200000−2i32i3-1-1i3i3−i3−i30000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-2000002i3−2i311−i3−i3i3i30000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-211112222000002i3−2i3-1-1−i3−i3i3i30000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-200000−2i32i311i3i3−i3−i30000000000000000000000
χ9744-4-44-2004-4-22-42-2-22200004-40000000000000000-22000000000000000-4-444-4200-442-24-222-2-20000-4400000000000000002-2000000000000000
χ9844-4-44-2004-4-22-42-2-2220000-4400000000000000002-2000000000000000-4-444-4200-442-24-222-2-200004-40000000000000000-22000000000000000
χ9944-4-4-2400-224-42-4-2-2220000000000000000000022−220000−2−222000000000-4-4442-4002-2-44-2422-2-200000000000000000000−2222000022−2−2000000000
χ10044-4-4-2400-224-42-4-2-22200000000000000000000−2222000022−2−2000000000-4-4442-4002-2-44-2422-2-20000000000000000000022−220000−2−222000000000
χ1014-44-44-24-4-4-4224-2-222-24-22-40000000-2200000000000000000000000000-44-44-42-4444-2-2-422-2-22-42-2400000002-200000000000000000000000000
χ1024-44-44-2-44-4-4224-2-222-2-42-2400000002-200000000000000000000000000-44-44-424-444-2-2-422-2-224-22-40000000-2200000000000000000000000000
χ1034-44-4-244-422-4-4-24-222-2-24-420000000-2200000000000000000000000000-44-442-4-44-2-2442-42-2-222-44-200000002-200000000000000000000000000
χ1044-44-4-2-24-42222-2-21-1-11-2-22200000001-13-3-330000000000000000000000-44-4422-44-2-2-2-222-111-122-2-20000000-11-333-30000000000000000000000
χ1054-44-4-2-24-42222-2-21-1-11-2-22200000001-1-333-30000000000000000000000-44-4422-44-2-2-2-222-111-122-2-20000000-113-3-330000000000000000000000
χ1064-44-4-2-2-442222-2-21-1-1122-2-2000−2i32i300-11i3−i3i3−i30000000000000000000000-44-44224-4-2-2-2-222-111-1-2-2220002i3−2i3001-1−i3i3−i3i30000000000000000000000
χ1074-44-4-2-2-442222-2-21-1-1122-2-20002i3−2i300-11−i3i3−i3i30000000000000000000000-44-44224-4-2-2-2-222-111-1-2-222000−2i32i3001-1i3−i3i3−i30000000000000000000000
χ1084-4-444400-44-44-4-44-44-4000000000000000000000000000000000000000-444-4-4-4004-44-444-44-44000000000000000000000000000000000000000
χ1094-4-444-200-442-2-42-22-22000000000000000000000000−2i32i30000000000000-444-4-42004-4-224-22-22-20000000000000000000000002i3−2i30000000000000
χ1104-4-444-200-442-2-42-22-220000000000000000000000002i3−2i30000000000000-444-4-42004-4-224-22-22-2000000000000000000000000−2i32i30000000000000
χ1114-4-44-24002-2-442-4-22-2200000000000000000000000000i6−i6−i6i6000000000-444-42-400-224-4-242-22-200000000000000000000000000−i6i6i6−i6000000000
χ1124-4-44-24002-2-442-4-22-2200000000000000000000000000−i6i6i6−i6000000000-444-42-400-224-4-242-22-200000000000000000000000000i6−i6−i6i6000000000
χ11388-8-8-4-400-44-444422-2-2000000000000000000000000000000000000000-8-88844004-44-4-4-4-2-222000000000000000000000000000000000000000
χ1148-8-88-4-4004-44-4442-22-2000000000000000000000000000000000000000-888-84400-44-44-4-4-22-22000000000000000000000000000000000000000

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