Finite Group Databasebeta

← Group #11863782

Character table — Group #11863782

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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order12223344666666366612121212444121212121212121212122226688121224242424466121244882222664466666666661212121244412121212121212121212222668812122424242446612124488
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
χ3111111111111111111111111-1-1-1-1-111-1-1-1-111111-1-111-1-1-1-1-111-1-111-1-1111111111111111111111111-1-1-1-1-111-1-1-1-111111-1-111-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111
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
χ71111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111
χ81111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111111-1-11111-1-11111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111111-1-11111-1-1
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χ1322222-1222-1-1-122-1-1-1-1-122-100-211-2-2-1-1111102200-2-20011110-1-100000022222-1222-1-1-122-1-1-1-1-122-100-211-2-2-1-1111102200-2-20011110-1-1000000
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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
χ60111111111111111111111111-1-1-1-1-111-1-1-1-111111-1-111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-111-1-111111-1-111-1-111
χ61111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-111-1-1-1-1-1-1-1-1-1-11111111-1-1
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χ641111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-11111111111-1-1-1-1-111-1-1
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χ842-2-22222-2-2-2-22-222-2-22-22-2200000002-2000002-2000000000002-2000000-222-2-2-2-22222-22-2-222-22-22-20000000-2200000-2200000000000-22000000
χ852-2-22222-2-2-2-22-222-2-22-22-2200000002-200000-2200000000000-22000000-222-2-2-2-22222-22-2-222-22-22-20000000-22000002-2000000000002-2000000
χ862-2-2222-22-2-2-22-222-2-222-22-20000000-2200000000000000000000002-200-222-2-2-22-2222-22-2-222-2-22-2200000002-20000000000000000000000-2200
χ872-2-2222-22-2-2-22-222-2-222-22-20000000-220000000000000000000000-2200-222-2-2-22-2222-22-2-222-2-22-2200000002-200000000000000000000002-200
χ882-2-222-12-2-211-1-22-111-112-2-1000−i3i300-11−i3i3−i3i302-2000000−i3i3−i3i30-11000000-222-2-21-222-1-112-21-1-11-1-221000i3−i3001-1i3−i3i3−i30-22000000i3−i3i3−i301-1000000
χ892-2-222-12-2-211-1-22-111-112-2-1000−i3i300-11−i3i3−i3i30-22000000i3−i3i3−i301-1000000-222-2-21-222-1-112-21-1-11-1-221000i3−i3001-1i3−i3i3−i302-2000000−i3i3−i3i30-11000000
χ902-2-222-12-2-211-1-22-111-112-2-1000i3−i300-11i3−i3i3−i302-2000000i3−i3i3−i30-11000000-222-2-21-222-1-112-21-1-11-1-221000−i3i3001-1−i3i3−i3i30-22000000−i3i3−i3i301-1000000
χ912-2-222-12-2-211-1-22-111-112-2-1000i3−i300-11i3−i3i3−i30-22000000−i3i3−i3i301-1000000-222-2-21-222-1-112-21-1-11-1-221000−i3i3001-1−i3i3−i3i302-2000000i3−i3i3−i30-11000000
χ9244444-2-4-44-2-2-244-2-2-2-22-4-4200000002200000000000000000000000000-4-4-4-4-4244-4222-4-42222-244-20000000-2-200000000000000000000000000
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
χ9744-4-444004-44-4-4-44-44-4000000000000000000000000000000000000000-4-444-4-400-44-4444-44-44000000000000000000000000000000000000000
χ9844-4-44-20042-22-4-4-22-22000000000000000000000000006−6−66000000000-4-444-4200-4-22-2442-22-200000000000000000000000000−666−6000000000
χ9944-4-44-20042-22-4-4-22-2200000000000000000000000000−666−6000000000-4-444-4200-4-22-2442-22-2000000000000000000000000006−6−66000000000
χ10044-4-4-2400-2-44-422-22-2200000000000000000000−2i32i300000000000000000-4-4442-40024-44-2-22-22-2000000000000000000002i3−2i300000000000000000
χ10144-4-4-2400-2-44-422-22-22000000000000000000002i3−2i300000000000000000-4-4442-40024-44-2-22-22-200000000000000000000−2i32i300000000000000000
χ1024-44-44-200-4-2224-4-2-2220000000000000000000000−2i22i200i2i2−i2−i2000000000-44-44-420042-2-2-4422-2-200000000000000000000002i2−2i200−i2−i2i2i2000000000
χ1034-44-44-200-4-2224-4-2-22200000000000000000000002i2−2i200−i2−i2i2i2000000000-44-44-420042-2-2-4422-2-20000000000000000000000−2i22i200i2i2−i2−i2000000000
χ1044-44-4-240024-4-4-22-2-22200004i−4i000000000000000000−2i2i0000000000000-44-442-400-2-4442-222-2-20000−4i4i0000000000000000002i−2i0000000000000
χ1054-44-4-240024-4-4-22-2-2220000−4i4i0000000000000000002i−2i0000000000000-44-442-400-2-4442-222-2-200004i−4i000000000000000000−2i2i0000000000000
χ1064-4-444-2-44-422-2-44-222-2-2-44200000002-200000000000000000000000000-444-4-424-44-2-224-42-2-2224-4-20000000-2200000000000000000000000000
χ1074-4-44-244-42-4-442-2-222-2-4-2240000000-2200000000000000000000000000-444-42-4-44-244-4-222-2-2242-2-400000002-200000000000000000000000000
χ1084-4-44-24-442-4-442-2-222-242-2-400000002-200000000000000000000000000-444-42-44-4-244-4-222-2-22-4-2240000000-2200000000000000000000000000
χ1094-4-44-2-24-4222-22-21-1-112-22-2000−2i32i3001-1i3−i3i3−i30000000000000000000000-444-422-44-2-2-22-22-111-1-22-220002i3−2i300-11−i3i3−i3i30000000000000000000000
χ1104-4-44-2-24-4222-22-21-1-112-22-20002i3−2i3001-1−i3i3−i3i30000000000000000000000-444-422-44-2-2-22-22-111-1-22-22000−2i32i300-11i3−i3i3−i30000000000000000000000
χ1114-4-44-2-2-44222-22-21-1-11-22-220000000-113-3-330000000000000000000000-444-4224-4-2-2-22-22-111-12-22-200000001-1-333-30000000000000000000000
χ1124-4-44-2-2-44222-22-21-1-11-22-220000000-11-333-30000000000000000000000-444-4224-4-2-2-22-22-111-12-22-200000001-13-3-330000000000000000000000
χ11388-8-8-4-400-44-44442-22-2000000000000000000000000000000000000000-8-88844004-44-4-4-4-22-22000000000000000000000000000000000000000
χ1148-88-8-4-4004-444-4422-2-2000000000000000000000000000000000000000-88-884400-44-4-44-4-2-222000000000000000000000000000000000000000

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