Finite Group Databasebeta

← Group #11863718

Character table — Group #11863718

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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order1222334466666636661212121244266666666121222266881212242424244661212448822226644666666666612121212442666666661212222668812122424242446612124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-1-111-1-1-1-11-1-111-1-1-1-1111111111111111111111111111111111111-1-111-1-111-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-111-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-111
χ51111111111111111111111-1-111111111111-111-1-111-1-11111-111-1-1-1-1-1-11111111111111111111111-1-111111111111-111-1-111-1-11111-111-1-1-1-1-1-1
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
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111111-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111-1-11111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111-1-11111-1-1
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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
χ59111111111111111111111111111111111111-1-111-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-111-1-11111
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χ852-2-22222-2-2-2-222-22-2-22-22-22000000000002-20-2200000000000-22000000-222-2-2-2-22222-2-22-222-22-22-200000000000-2202-2000000000002-2000000
χ862-2-2222-22-2-2-222-22-2-222-22-200000000000-220000000000000000002-200-222-2-2-22-2222-2-22-222-2-22-22000000000002-2000000000000000000-2200
χ872-2-2222-22-2-2-222-22-2-222-22-200000000000-22000000000000000000-2200-222-2-2-22-2222-2-22-222-2-22-22000000000002-20000000000000000002-200
χ882-2-222-12-2-211-12-2-111-112-2-100000−i3i3−i3i3−i3i3-1102-2000000−i3i3−i3i30-11000000-222-2-21-222-1-11-221-1-11-1-22100000i3−i3i3−i3i3−i31-10-22000000i3−i3i3−i301-1000000
χ892-2-222-12-2-211-12-2-111-112-2-100000−i3i3−i3i3−i3i3-110-22000000i3−i3i3−i301-1000000-222-2-21-222-1-11-221-1-11-1-22100000i3−i3i3−i3i3−i31-102-2000000−i3i3−i3i30-11000000
χ902-2-222-12-2-211-12-2-111-112-2-100000i3−i3i3−i3i3−i3-1102-2000000i3−i3i3−i30-11000000-222-2-21-222-1-11-221-1-11-1-22100000−i3i3−i3i3−i3i31-10-22000000−i3i3−i3i301-1000000
χ912-2-222-12-2-211-12-2-111-112-2-100000i3−i3i3−i3i3−i3-110-22000000−i3i3−i3i301-1000000-222-2-21-222-1-11-221-1-11-1-22100000−i3i3−i3i3−i3i31-102-2000000i3−i3i3−i30-11000000
χ9244444-2-4-44-2-2-244-2-2-2-22-4-4200000000000220000000000000000000000-4-4-4-4-4244-4222-4-42222-244-200000000000-2-20000000000000000000000
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
χ944444-2-244-2-2-2-2-2-21111-2-2-2-200-42222-1-1-1-1110000000000000000000000-4-4-4-422-4-4222222-1-1-1-12222004-2-2-2-21111-1-10000000000000000000000
χ954444-2-2-4-4-2-2-2-2-2-211112222000−2i32i300i3i3−i3−i3-1-10000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-20002i3−2i300−i3−i3i3i3110000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-2111122220002i3−2i300−i3−i3i3i3-1-10000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-2000−2i32i300i3i3−i3−i3110000000000000000000000
χ9744-4-44-2004-222-4-4-2-222000000000000000000000022−2200−2−222000000000-4-444-4200-42-2-24422-2-20000000000000000000000−22220022−2−2000000000
χ9844-4-44-2004-222-4-4-2-2220000000000000000000000−22220022−2−2000000000-4-444-4200-42-2-24422-2-2000000000000000000000022−2200−2−222000000000
χ9944-4-4-2400-24-4-422-2-22200004i−4i000000000000000000−2i2i0000000000000-4-4442-4002-444-2-222-2-20000−4i4i0000000000000000002i−2i0000000000000
χ10044-4-4-2400-24-4-422-2-2220000−4i4i0000000000000000002i−2i0000000000000-4-4442-4002-444-2-222-2-200004i−4i000000000000000000−2i2i0000000000000
χ1014-44-44400-4-44-4-444-44-4000000000000000000000000000000000000000-44-44-4-40044-444-4-44-44000000000000000000000000000000000000000
χ1024-44-44-200-42-22-44-22-2200000000000000000000000000i6−i6−i6i6000000000-44-44-42004-22-24-42-22-200000000000000000000000000−i6i6i6−i6000000000
χ1034-44-44-200-42-22-44-22-2200000000000000000000000000−i6i6i6−i6000000000-44-44-42004-22-24-42-22-200000000000000000000000000i6−i6−i6i6000000000
χ1044-44-4-24002-44-42-2-22-2200000000000000000000−2i32i300000000000000000-44-442-400-24-44-222-22-2000000000000000000002i3−2i300000000000000000
χ1054-44-4-24002-44-42-2-22-22000000000000000000002i3−2i300000000000000000-44-442-400-24-44-222-22-200000000000000000000−2i32i300000000000000000
χ1064-4-444-2-44-422-24-4-222-2-2-442000000000002-20000000000000000000000-444-4-424-44-2-22-442-2-2224-4-200000000000-220000000000000000000000
χ1074-4-44-244-42-4-44-22-222-2-4-22400000000000-220000000000000000000000-444-42-4-44-244-42-22-2-2242-2-4000000000002-20000000000000000000000
χ1084-4-44-24-442-4-44-22-222-242-2-4000000000002-20000000000000000000000-444-42-44-4-244-42-22-2-22-4-22400000000000-220000000000000000000000
χ1094-4-44-2-24-4222-2-221-1-112-22-200000−2i32i3i3−i3i3−i31-10000000000000000000000-444-422-44-2-2-222-2-111-1-22-22000002i3−2i3−i3i3−i3i3-110000000000000000000000
χ1104-4-44-2-24-4222-2-221-1-112-22-2000002i3−2i3−i3i3−i3i31-10000000000000000000000-444-422-44-2-2-222-2-111-1-22-2200000−2i32i3i3−i3i3−i3-110000000000000000000000
χ1114-4-44-2-2-44222-2-221-1-11-22-2200000003-3-33-110000000000000000000000-444-4224-4-2-2-222-2-111-12-22-20000000-333-31-10000000000000000000000
χ1124-4-44-2-2-44222-2-221-1-11-22-220000000-333-3-110000000000000000000000-444-4224-4-2-2-222-2-111-12-22-200000003-3-331-10000000000000000000000
χ11388-8-8-4-400-4-4444422-2-2000000000000000000000000000000000000000-8-888440044-4-4-4-4-2-222000000000000000000000000000000000000000
χ1148-88-8-4-40044-444-42-22-2000000000000000000000000000000000000000-88-884400-4-44-4-44-22-22000000000000000000000000000000000000000

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