Finite Group Databasebeta

← Group #11874445

Character table — Group #11874445

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222444422334466666612121212121212123666666612121212121212122466666666661212121212121212121244448888121212121212121224242424242424242244666612121212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-11
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-1111-1
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-1-1111-1
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1-11
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11-1
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-111-11
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-111-11
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-11-1
χ1722222222222-12222-1-12-12222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002020-1-100-1-100000000
χ1822222222222-12222-1-12-12222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-20-2011001100000000
χ1922222222222-12222-1-12-12222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12-2-2-2-211-1-11111-2-211-1-1111122220000-1-1-1-1-1-1-1-100000000-20-2011001100000000
χ2022222222222-12222-1-12-12222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12-2-2-2-211-1-11111-2-211-1-11111-2-2-2-2000011111111000000002020-1-100-1-100000000
χ212222222222-1222-1-122-12-1-1-1-12222-1-1-122-1-1-1-122-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1020200-1-100-1-1000000
χ222222222222-1222-1-122-12-1-1-1-12222-1-1-122-1-1-1-122-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000111111110-20-200110011000000
χ232222222222-1222-1-122-12-1-1-1-12222-1-1-122-1-1-1-122-1-1-1-1-1-2-211-2-2-1-1111111-2-2-1-111110000222200000000-1-1-1-1-1-1-1-10-20-200110011000000
χ242222222222-1222-1-122-12-1-1-1-12222-1-1-122-1-1-1-122-1-1-1-1-1-2-211-2-2-1-1111111-2-2-1-111110000-2-2-2-20000000011111111020200-1-100-1-1000000
χ2522222222-2-222-2-2222222222222222-2-2-2-2222-2-2-22222-2000000-2-200000000-2-200002-22-2000022-2-222-2-200000000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2-2222-2-2-22222-2000000-2-200000000-2-20000-22-220000-2-222-2-22200000000000000000000000000
χ2722222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-2-211-1-1-1-211-1-1-1-1-20000−i3i311−i3−i3i3i300−i3i311−i3−i3i3i32-22-20000-1-111-1-111000000000000−i3i300−i3i300000000
χ2822222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-2-211-1-1-1-211-1-1-1-1-20000−i3i311−i3−i3i3i300−i3i311−i3−i3i3i3-22-22000011-1-111-1-1000000000000i3−i300i3−i300000000
χ2922222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-2-211-1-1-1-211-1-1-1-1-20000i3−i311i3i3−i3−i300i3−i311i3i3−i3−i32-22-20000-1-111-1-111000000000000i3−i300i3−i300000000
χ3022222222-2-22-1-2-222-1-12-12222-1-1-1-1-1-2-211-1-1-1-211-1-1-1-1-20000i3−i311i3i3−i3−i300i3−i311i3i3−i3−i3-22-22000011-1-111-1-1000000000000−i3i300−i3i300000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000002200000000-2-200002-2-22000022-2-2-2-22200000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000002200000000-2-20000-222-20000-2-22222-2-200000000000000000000000000
χ332222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-122-1-1-1-1-1-2111111-20000−i3i3-1-1−i3−i3i3i300i3−i311i3i3−i3−i32-2-220000-1-11111-1-1000000000000−i3i300i3−i300000000
χ342222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-122-1-1-1-1-1-2111111-20000−i3i3-1-1−i3−i3i3i300i3−i311i3i3−i3−i3-222-2000011-1-1-1-111000000000000i3−i300−i3i300000000
χ352222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-122-1-1-1-1-1-2111111-20000i3−i3-1-1i3i3−i3−i300−i3i311−i3−i3i3i32-2-220000-1-11111-1-1000000000000i3−i300−i3i300000000
χ362222-2-2-2-2222-1-2-222-1-12-1-2-2-2-21111-122-1-1-1-1-1-2111111-20000i3−i3-1-1i3i3−i3−i300−i3i311−i3−i3i3i3-222-2000011-1-1-1-111000000000000−i3i300i3−i300000000
χ372222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-2-211-1-1-12-1-1111122-222-1-111-1-1-1-1-2-211-1-1111122-2-20000-1-1-1-111110000000020-20-1-1001100000000
χ382222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-2-211-1-1-12-1-1111122-222-1-111-1-1-1-1-2-211-1-11111-2-22200001111-1-1-1-100000000-20201100-1-100000000
χ392222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-2-211-1-1-12-1-111112-22-2-21111111122-1-1-1-1-1-1-1-122-2-20000-1-1-1-1111100000000-20201100-1-100000000
χ402222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-2-211-1-1-12-1-111112-22-2-21111111122-1-1-1-1-1-1-1-1-2-22200001111-1-1-1-10000000020-20-1-1001100000000
χ412222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-111-2-2-1-1-1-1221111-12-2-1-12211-1-1-1-111-2-2-1-11111000022-2-200000000-1-1-1-11111020-200-1-10011000000
χ422222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-111-2-2-1-1-1-1221111-12-2-1-12211-1-1-1-111-2-2-1-111110000-2-222000000001111-1-1-1-10-202001100-1-1000000
χ432222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-111-2-2-1-1-1-1221111-1-2211-2-2111111-1-122-1-1-1-1-1-1000022-2-200000000-1-1-1-111110-202001100-1-1000000
χ442222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-111-2-2-1-1-1-1221111-1-2211-2-2111111-1-122-1-1-1-1-1-10000-2-222000000001111-1-1-1-1020-200-1-10011000000
χ452-2-2222-2-22-2222-2-2-2-2-22222-2-222-2-222-22-2-2-22-22-222-2-220000002-2000000002-2000000002-22-20000000022-2-222-2-2000000000000000000
χ462-2-2222-2-22-2222-2-2-2-2-22222-2-222-2-222-22-2-2-22-22-222-2-220000002-2000000002-200000000-22-2200000000-2-222-2-222000000000000000000
χ472-2-2222-2-22-2-122-211-2-2-12-1-11122-2-2-1-112-211-112-2-1-111-100−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i300002-22-200000000-1-111-1-111000000−i3i300−i3i3000000
χ482-2-2222-2-22-2-122-211-2-2-12-1-11122-2-2-1-112-211-112-2-1-111-100−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i30000-22-220000000011-1-111-1-1000000i3−i300i3−i3000000
χ492-2-2222-2-22-2-122-211-2-2-12-1-11122-2-2-1-112-211-112-2-1-111-100i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i300002-22-200000000-1-111-1-111000000i3−i300i3−i3000000
χ502-2-2222-2-22-2-122-211-2-2-12-1-11122-2-2-1-112-211-112-2-1-111-100i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i30000-22-220000000011-1-111-1-1000000−i3i300−i3i3000000
χ512-2-2222-2-2-2222-22-2-2-2-22222-2-222-2-22-22-22-2-222-2222-2-2-2000000-2200000000-2200000000000000000000000000000000000000002-22-200
χ522-2-2222-2-2-2222-22-2-2-2-22222-2-222-2-22-22-22-2-222-2222-2-2-2000000-2200000000-220000000000000000000000000000000000000000-22-2200
χ532-2-22-2-2222-222-22-2-2-2-222-2-222-2-22222-22-2-2-222-22-2-222-20000002-200000000-2200000000000000000000000000000000000000002-2-2200
χ542-2-22-2-2222-222-22-2-2-2-222-2-222-2-22222-22-2-2-222-22-2-222-20000002-200000000-220000000000000000000000000000000000000000-222-200
χ552-2-22-2-222-22222-2-2-2-2-222-2-222-2-2222-22-22-2-22-22-2-2-2222000000-22000000002-2000000002-2-220000000022-2-2-2-222000000000000000000
χ562-2-22-2-222-22222-2-2-2-2-222-2-222-2-2222-22-22-2-22-22-2-2-2222000000-22000000002-200000000-222-200000000-2-22222-2-2000000000000000000
χ572-2-22-2-222-22-122-211-2-2-1211-1-1-2-222-11-1-2211-112-211-1-1-100−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i300002-2-2200000000-1-11111-1-1000000−i3i300i3−i3000000
χ582-2-22-2-222-22-122-211-2-2-1211-1-1-2-222-11-1-2211-112-211-1-1-100−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i30000-222-20000000011-1-1-1-111000000i3−i300−i3i3000000
χ592-2-22-2-222-22-122-211-2-2-1211-1-1-2-222-11-1-2211-112-211-1-1-100i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i300002-2-2200000000-1-11111-1-1000000i3−i300−i3i3000000
χ602-2-22-2-222-22-122-211-2-2-1211-1-1-2-222-11-1-2211-112-211-1-1-100i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i30000-222-20000000011-1-1-1-111000000−i3i300i3−i3000000
χ614444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-21111-244-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ624444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000000000000000
χ6344444444-4-4-24-4-4-2-244-24-2-2-2-24444-222-4-4-2-2-22-4-4-2-2-2-220000002200000000220000000000000000000000000000000000000000000000
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χ694444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212222111-2-2-2-1-1-1-1-24-4-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000000000000000
χ704444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212222111-2-2-2-1-1-1-1-2-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
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χ7644-4-4−4i4i−4i4i0044004-44-4-4-4−4i4i−4i4i−4i4i−4i4i400004-4-4000−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000
χ7744-4-4−4i4i−4i4i004-2004-4-22-42−4i4i−4i4i2i−2i2i−2i-20000-2220002i−2i2i−2i0000000000000000000000000000000−2i32i300−23230000000000000000000000000000
χ7844-4-4−4i4i−4i4i004-2004-4-22-42−4i4i−4i4i2i−2i2i−2i-20000-2220002i−2i2i−2i00000000000000000000000000000002i3−2i30023−230000000000000000000000000000
χ7944-4-4−4i4i−4i4i00-2400-224-42-42i−2i2i−2i−4i4i−4i4i-20000-2220002i−2i2i−2i000000000000000000000000000000000000000i6−i6i6−i6−66−66000000000000000000
χ8044-4-4−4i4i−4i4i00-2400-224-42-42i−2i2i−2i−4i4i−4i4i-20000-2220002i−2i2i−2i000000000000000000000000000000000000000−i6i6−i6i66−66−6000000000000000000
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χ834-44-44i−4i−4i4i004-200-442-2-424i−4i−4i4i−2i2i2i−2i-200002-22000−2i2i2i−2i0000000000000000000000000000000002i3−2i300−232300000000000000000000000000
χ844-44-44i−4i−4i4i00-24002-2-442-4−2i2i2i−2i4i−4i−4i4i-200002-22000−2i2i2i−2i000000000000000000000000000000000000000i6−i6−i6i66−6−66000000000000000000
χ854-44-44i−4i−4i4i00-24002-2-442-4−2i2i2i−2i4i−4i−4i4i-200002-22000−2i2i2i−2i000000000000000000000000000000000000000−i6i6i6−i6−666−6000000000000000000
χ864-44-4−4i4i4i−4i004400-44-44-4-4−4i4i4i−4i−4i4i4i−4i40000-44-4000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000
χ874-44-4−4i4i4i−4i004-200-442-2-42−4i4i4i−4i2i−2i−2i2i-200002-220002i−2i−2i2i000000000000000000000000000000000−2i32i300−232300000000000000000000000000
χ884-44-4−4i4i4i−4i004-200-442-2-42−4i4i4i−4i2i−2i−2i2i-200002-220002i−2i−2i2i0000000000000000000000000000000002i3−2i30023−2300000000000000000000000000
χ894-44-4−4i4i4i−4i00-24002-2-442-42i−2i−2i2i−4i4i4i−4i-200002-220002i−2i−2i2i000000000000000000000000000000000000000i6−i6−i6i6−666−6000000000000000000
χ904-44-4−4i4i4i−4i00-24002-2-442-42i−2i−2i2i−4i4i4i−4i-200002-220002i−2i−2i2i000000000000000000000000000000000000000−i6i6i6−i66−6−66000000000000000000
χ914-4-4444-4-44-44-24-4-4-4224-244-4-4-2-222-24-4-2222-2-4-22-2-2224000000-2200000000-220000000000000000000000000000000000000000000000
χ924-4-4444-4-44-4-2-24-42222-2-2-2-222-2-2221-22-22-1-112-2211-1-1-200−2i32i3001-1i3−i3i3−i3−2i32i3001-1i3−i3i3−i3000000000000000000000000000000000000000000
χ934-4-4444-4-44-4-2-24-42222-2-2-2-222-2-2221-22-22-1-112-2211-1-1-2002i3−2i3001-1−i3i3−i3i32i3−2i3001-1−i3i3−i3i3000000000000000000000000000000000000000000
χ944-4-4444-4-4-444-2-44-4-4224-244-4-4-2-222-2-442-222-242-2-2-222-40000002-2000000002-20000000000000000000000000000000000000000000000
χ954-4-4444-4-4-44-24-4422-4-4-24-2-22244-4-4-22-2-4422-2-2-44-2-22220000002-2000000002-20000000000000000000000000000000000000000000000
χ964-4-4444-4-4-44-2-2-442222-2-2-2-222-2-22212-22-2-1-11-22-211-1-12000000-113-3-330000-113-3-33000000000000000000000000000000000000000000
χ974-4-4444-4-4-44-2-2-442222-2-2-2-222-2-22212-22-2-1-11-22-211-1-12000000-11-333-30000-11-333-3000000000000000000000000000000000000000000
χ984-4-44-4-4444-44-2-44-4-4224-2-4-44422-2-2-24-4-2222-242-222-2-2-4000000-22000000002-20000000000000000000000000000000000000000000000
χ994-4-44-4-4444-4-24-4422-4-4-2422-2-2-4-444-2-224-422-2-2-4422-2-22000000-22000000002-20000000000000000000000000000000000000000000000
χ1004-4-44-4-4444-4-2-2-442222-2-222-2-222-2-21-22-22-1-11-22-2-1-11120000001-13-3-330000-11-333-3000000000000000000000000000000000000000000
χ1014-4-44-4-4444-4-2-2-442222-2-222-2-222-2-21-22-22-1-11-22-2-1-11120000001-1-333-30000-113-3-33000000000000000000000000000000000000000000
χ1024-4-44-4-444-444-24-4-4-4224-2-4-44422-2-2-2-442-222-2-4-2222-2-240000002-200000000-220000000000000000000000000000000000000000000000
χ1034-4-44-4-444-44-2-24-42222-2-222-2-222-2-212-22-2-1-112-22-1-111-200−2i32i300-11i3−i3i3−i32i3−2i3001-1−i3i3−i3i3000000000000000000000000000000000000000000
χ1044-4-44-4-444-44-2-24-42222-2-222-2-222-2-212-22-2-1-112-22-1-111-2002i3−2i300-11−i3i3−i3i3−2i32i3001-1i3−i3i3−i3000000000000000000000000000000000000000000
χ10588-8-88i−8i8i−8i00-4-400-44-4444−4i4i−4i4i−4i4i−4i4i200002-2-20002i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8−8i8i−8i8i00-4-400-44-44444i−4i4i−4i4i−4i4i−4i200002-2-2000−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88i−8i−8i8i00-4-4004-44-444−4i4i4i−4i−4i4i4i−4i20000-22-20002i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8−8i8i8i−8i00-4-4004-44-4444i−4i−4i4i4i−4i−4i4i20000-22-2000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000000

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