Finite Group Databasebeta

← Group #11792810

Character table — Group #11792810

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222222233666666666636666666666666666644666612121212121212121212121212121212222266666666224444666612121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-111-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-111-1-1-1-1-1-111-1-111
χ71111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-11111-1-1
χ922222222222-122222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000222200-1-1-1-10000-1-1-1-10000
χ1022222222222-122222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2001111000011110000
χ1122222222222-122222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110000000000002-22-200-1-1110000-1-1110000
χ1222222222222-122222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-2111111111111000000000000-22-220011-1-1000011-1-10000
χ132222222222-12-1-1-1-1-122-1-12-1-1-1-1-1222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000220000-1-1-1-100000000
χ142222222222-12-1-1-1-1-122-1-12-1-1-1-1-1222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000-2-20000111100000000
χ152222222222-12-1-1-1-1-122-1-12-1-1-1-1-1222222-1-1-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-10000-2-20000111100000000
χ162222222222-12-1-1-1-1-122-1-12-1-1-1-1-1222222-1-1-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-211111111-2-2-2-2111111110000220000-1-1-1-100000000
χ1722222-2-22-2-22222222222222-2-2-2-222-2-2-2-222222222-2-2-2-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000000000
χ1822222-2-22-2-22222222222222-2-2-2-222-2-2-2-22222222-22-2-2-2-2-2-222-2-222-2-2-2-222220000000000000000000000000000000000
χ1922222-2-22-2-22-122222-1-122-1-1-2-2-2-2-1-11111-1-1-1-1-1-1-12-2111122-2-2-1-111-1-1-1-11111000000000000000000−i3i3−i3i30000−i3i3−i3i30000
χ2022222-2-22-2-22-122222-1-122-1-1-2-2-2-2-1-11111-1-1-1-1-1-1-12-2111122-2-2-1-111-1-1-1-11111000000000000000000i3−i3i3−i30000i3−i3i3−i30000
χ2122222-2-22-2-22-122222-1-122-1-1-2-2-2-2-1-11111-1-1-1-1-1-1-1-221111-2-22211-1-11111-1-1-1-1000000000000000000−i3i3i3−i30000−i3i3i3−i30000
χ2222222-2-22-2-22-122222-1-122-1-1-2-2-2-2-1-11111-1-1-1-1-1-1-1-221111-2-22211-1-11111-1-1-1-1000000000000000000i3−i3−i3i30000i3−i3−i3i30000
χ2322222-2-22-2-2-12-1-1-1-1-122-1-12-1111122-2-2-2-2-1-1-1-1-1-1-12-21111-1-11122-2-2-1-1-1-111110000−i3−i3−i3−i3i3i3i3i30000000000−i3−i3i3i300000000
χ2422222-2-22-2-2-12-1-1-1-1-122-1-12-1111122-2-2-2-2-1-1-1-1-1-1-12-21111-1-11122-2-2-1-1-1-111110000i3i3i3i3−i3−i3−i3−i30000000000i3i3−i3−i300000000
χ2522222-2-22-2-2-12-1-1-1-1-122-1-12-1111122-2-2-2-2-1-1-1-1-1-1-1-22111111-1-1-2-2221111-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000000000i3i3−i3−i300000000
χ2622222-2-22-2-2-12-1-1-1-1-122-1-12-1111122-2-2-2-2-1-1-1-1-1-1-1-22111111-1-1-2-2221111-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000000000−i3−i3i3i300000000
χ272222-22-2-22-2222-2-22222-2-22222-2-2-2-222-2-22-2-2-2-2220022-2-20000000000000000000000000000020-2000022000000-2-20000
χ282222-22-2-22-2222-2-22222-2-22222-2-2-2-222-2-22-2-2-2-2220022-2-200000000000000000000000000000-2020000-2-2000000220000
χ292222-22-2-22-22-12-2-222-1-1-2-2-1-122-2-211-1-111-11111-1-100-1-1110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3000000000000020-200−i3i3-1-10000i3−i3110000
χ302222-22-2-22-22-12-2-222-1-1-2-2-1-122-2-211-1-111-11111-1-100-1-1110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000000000000-20200i3−i3110000−i3i3-1-10000
χ312222-22-2-22-22-12-2-222-1-1-2-2-1-122-2-211-1-111-11111-1-100-1-1110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3000000000000020-200i3−i3-1-10000−i3i3110000
χ322222-22-2-22-22-12-2-222-1-1-2-2-1-122-2-211-1-111-11111-1-100-1-1110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000000000000-20200−i3i3110000i3−i3-1-10000
χ332222-2-22-2-22222-2-22222-2-222-2-222-2-2-2-2222-2-2-2-22200-2-222000000000000000000000000000020-200022000000-2-2000000
χ342222-2-22-2-22222-2-22222-2-222-2-222-2-2-2-2222-2-2-2-22200-2-2220000000000000000000000000000-202000-2-200000022000000
χ352222-2-22-2-222-12-2-222-1-1-2-2-1-1-2-2221111-1-1-11111-1-10011-1-10000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i300000000000020-2000-1-1−i3i3000011i3−i30000
χ362222-2-22-2-222-12-2-222-1-1-2-2-1-1-2-2221111-1-1-11111-1-10011-1-10000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i3000000000000-20200011i3−i30000-1-1−i3i30000
χ372222-2-22-2-222-12-2-222-1-1-2-2-1-1-2-2221111-1-1-11111-1-10011-1-10000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i300000000000020-2000-1-1i3−i3000011−i3i30000
χ382222-2-22-2-222-12-2-222-1-1-2-2-1-1-2-2221111-1-1-11111-1-10011-1-10000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i3000000000000-20200011−i3i30000-1-1i3−i30000
χ392-2-22222-2-2-222222-2-2-2-2-2-2222-22-22-22-22-2222-2-2-2-2002-22-2000000000000000000000000000000002i−2i00002i−2i2i−2i00000000
χ402-2-22222-2-2-222222-2-2-2-2-2-2222-22-22-22-22-2222-2-2-2-2002-22-200000000000000000000000000000000−2i2i0000−2i2i−2i2i00000000
χ412-2-22222-2-2-2-12-1-1-111-2-2112-1-11-112-22-22-2-1-1-1111100-11-113−33−300003−33−33−33−30000−i3−i3i3i3−i3−i3i3i300002i−2i0000−ii−ii00000000
χ422-2-22222-2-2-2-12-1-1-111-2-2112-1-11-112-22-22-2-1-1-1111100-11-113−33−300003−33−33−33−30000i3i3−i3−i3i3i3−i3−i30000−2i2i0000i−ii−i00000000
χ432-2-22222-2-2-2-12-1-1-111-2-2112-1-11-112-22-22-2-1-1-1111100-11-11−33−330000−33−33−33−330000−i3−i3i3i3−i3−i3i3i30000−2i2i0000i−ii−i00000000
χ442-2-22222-2-2-2-12-1-1-111-2-2112-1-11-112-22-22-2-1-1-1111100-11-11−33−330000−33−33−33−330000i3i3−i3−i3i3i3−i3−i300002i−2i0000−ii−ii00000000
χ452-2-222-2-2-22222222-2-2-2-2-2-222-22-222-2-22-22222-2-2-2-200-22-22000000000000000022-2-222-2-2-2-2220000000000000000000000
χ462-2-222-2-2-22222222-2-2-2-2-2-222-22-222-2-22-22222-2-2-2-200-22-220000000000000000-2-222-2-22222-2-20000000000000000000000
χ472-2-222-2-2-222-12-1-1-111-2-2112-11-11-12-2-22-22-1-1-11111001-11-13−3−3300003−33−3−33−3322-2-2-1-11111-1-100000000003−3−3300000000
χ482-2-222-2-2-222-12-1-1-111-2-2112-11-11-12-2-22-22-1-1-11111001-11-13−3−3300003−33−3−33−33-2-22211-1-1-1-1110000000000−333−300000000
χ492-2-222-2-2-222-12-1-1-111-2-2112-11-11-12-2-22-22-1-1-11111001-11-1−333−30000−33−333−33−322-2-2-1-11111-1-10000000000−333−300000000
χ502-2-222-2-2-222-12-1-1-111-2-2112-11-11-12-2-22-22-1-1-11111001-11-1−333−30000−33−333−33−3-2-22211-1-1-1-11100000000003−3−3300000000
χ512-2-22-22-22-22222-2-2-2-2-2-222222-2-22-222-2-222-2-222-2-2002-2-2200000000000000000000000000000000000000000000002-200
χ522-2-22-22-22-22222-2-2-2-2-2-222222-2-22-222-2-222-2-222-2-2002-2-220000000000000000000000000000000000000000000000-2200
χ532-2-22-2-2222-2222-2-2-2-2-2-22222-222-2-22-222-22-2-222-2-200-222-20000000000000000000000000000000000000000000000002-2
χ542-2-22-2-2222-2222-2-2-2-2-2-22222-222-2-22-222-22-2-222-2-200-222-2000000000000000000000000000000000000000000000000-22
χ554444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-21111111441111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ564444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-21111111-4-4111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-212222-2-2222211111114-4-1-1-1-1-2-222-2-2221111-1-1-1-10000000000000000000000000000000000
χ5844444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-212222-2-222221111111-44-1-1-1-122-2-222-2-2-1-1-1-111110000000000000000000000000000000000
χ594444-44-4-44-4-24-222-2-244224-2-2-222-4-444-4-4-22222-2-200-2-22200000000000000000000000000000000000000000000000000
χ604444-44-4-44-4-2-2-222-2-2-2-222-21-2-22222-2-2221-1-1-1-1110011-1-10000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ614444-44-4-44-4-2-2-222-2-2-2-222-21-2-22222-2-2221-1-1-1-1110011-1-100002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ624444-4-44-4-44-24-222-2-244224-222-2-2-4-4-4-444-22222-2-20022-2-200000000000000000000000000000000000000000000000000
χ634444-4-44-4-44-2-2-222-2-2-2-222-2122-2-22222-2-21-1-1-1-11100-1-1110000−2i32i32i3−2i3i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ644444-4-44-4-44-2-2-222-2-2-2-222-2122-2-22222-2-21-1-1-1-11100-1-11100002i3−2i3−2i32i3−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6544-4-400000044-4004-44-400-440000000000-400004-400000000000000000000002-22-22-22-22-22-20000000000000000000000
χ6644-4-400000044-4004-44-400-440000000000-400004-40000000000000000000000-22-22-22-22-22-220000000000000000000000
χ6744-4-4000000-242−2i32i3-224-4−2i32i3-4-200000000002−2i32i3−2i32i3-2200000000000000000000002-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000000000000000000000
χ6844-4-4000000-242−2i32i3-224-4−2i32i3-4-200000000002−2i32i3−2i32i3-220000000000000000000000-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000000000000000000000
χ6944-4-4000000-2422i3−2i3-224-42i3−2i3-4-2000000000022i3−2i32i3−2i3-2200000000000000000000002-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000000000000000000000
χ7044-4-4000000-2422i3−2i3-224-42i3−2i3-4-2000000000022i3−2i32i3−2i3-220000000000000000000000-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000000000000000000000
χ714-44-400000044-400-44-4400-440000000000-40000-4400000000000000000000002-2-222-2-22-222-20000000000000000000000
χ724-44-400000044-400-44-4400-440000000000-40000-440000000000000000000000-222-2-222-22-2-220000000000000000000000
χ734-44-4000000-242−2i32i32-2-442i3−2i3-4-200000000002−2i32i32i3−2i32-200000000000000000000002-2-22−1−i31+i31+i3−1−i31−i3−1+i3−1+i31−i30000000000000000000000
χ744-44-4000000-242−2i32i32-2-442i3−2i3-4-200000000002−2i32i32i3−2i32-20000000000000000000000-222-21+i3−1−i3−1−i31+i3−1+i31−i31−i3−1+i30000000000000000000000
χ754-44-4000000-2422i3−2i32-2-44−2i32i3-4-2000000000022i3−2i3−2i32i32-200000000000000000000002-2-22−1+i31−i31−i3−1+i31+i3−1−i3−1−i31+i30000000000000000000000
χ764-44-4000000-2422i3−2i32-2-44−2i32i3-4-2000000000022i3−2i3−2i32i32-20000000000000000000000-222-21−i3−1+i3−1+i31−i3−1−i31+i31+i3−1−i30000000000000000000000
χ774-4-44444-4-4-44-2444-4-422-4-4-2-24-44-4-22-22-22-2-2-2222200-22-2200000000000000000000000000000000000000000000000000
χ784-4-44444-4-4-4-2-2-2-2-2222222-21-22-22-22-22-22111-1-1-1-1001-11-123−2323−230000−33−33−33−330000000000000000000000000000000000
χ794-4-44444-4-4-4-2-2-2-2-2222222-21-22-22-22-22-22111-1-1-1-1001-11-1−2323−232300003−33−33−33−30000000000000000000000000000000000
χ804-4-444-4-4-4444-2444-4-422-4-4-2-2-44-44-222-22-2-2-2-22222002-22-200000000000000000000000000000000000000000000000000
χ814-4-444-4-4-444-2-2-2-2-2222222-212-22-2-222-22-2111-1-1-1-100-11-1123−23−23230000−33−333−33−30000000000000000000000000000000000
χ824-4-444-4-4-444-2-2-2-2-2222222-212-22-2-222-22-2111-1-1-1-100-11-11−232323−2300003−33−3−33−330000000000000000000000000000000000
χ834-4-44-44-44-444-24-4-4-4-42244-2-24-4-442-2-222-2-222-2-22200-222-200000000000000000000000000000000000000000000000000
χ844-4-44-44-44-44-24-22222-4-4-2-24-2-222-2-444-4-44-222-2-22200-222-200000000000000000000000000000000000000000000000000
χ854-4-44-44-44-44-2-2-2222222-2-2-21-222-22-2-222-21-1-111-1-1001-1-11000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ864-4-44-44-44-44-2-2-2222222-2-2-21-222-22-2-222-21-1-111-1-1001-1-1100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000
χ874-4-44-4-4444-44-24-4-4-4-42244-2-2-444-42-22-2-22-222-2-222002-2-2200000000000000000000000000000000000000000000000000
χ884-4-44-4-4444-4-24-22222-4-4-2-24-22-2-22-44-444-4-222-2-222002-2-2200000000000000000000000000000000000000000000000000
χ894-4-44-4-4444-4-2-2-2222222-2-2-212-2-222-22-2-221-1-111-1-100-111-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ904-4-44-4-4444-4-2-2-2222222-2-2-212-2-222-22-2-221-1-111-1-100-111-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ9188-8-80000008-4-8008-8-44004-4000000000040000-4400000000000000000000000000000000000000000000000000000000
χ9288-8-8000000-4-44−4i34i3-44-44−4i34i3420000000000-22i3−2i32i3−2i32-200000000000000000000000000000000000000000000000000000000
χ9388-8-8000000-4-444i3−4i3-44-444i3−4i3420000000000-2−2i32i3−2i32i32-200000000000000000000000000000000000000000000000000000000
χ948-88-80000008-4-800-884-4004-40000000000400004-400000000000000000000000000000000000000000000000000000000
χ958-88-8000000-4-44−4i34i34-44-44i3−4i3420000000000-22i3−2i3−2i32i3-2200000000000000000000000000000000000000000000000000000000
χ968-88-8000000-4-444i3−4i34-44-4−4i34i3420000000000-2−2i32i32i3−2i3-2200000000000000000000000000000000000000000000000000000000

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