Finite Group Databasebeta

← Group #11867812

Character table — Group #11867812

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666121212123666666612121212121212121212888844661212121212121212121212121212121212122244882424242424242424244466661212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1
χ91111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-1111111-1-1-1-11-11-1-1-11111-1-1-1-11-11-1111-1-1-11-111-1-111-1-11-1
χ101111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-1111111-1-1-1-1-11-11-1-11111-1-1-1-11-1-1111-11-1-1-11-1-111-1-111-11
χ111111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111111-11-1-1-1-1-1-1111111-1-1-1-111111-11-1-1-11111-1-1-1-1-11-11-1-11-1111-1-1-11111-1-1-11
χ121111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111111-11-1-1-1-1-1-1111111-1-1-1-11111-11-11-1-11111-1-1-1-1-111-1-1-1-1111-1111-1-1-1-1111-1
χ131111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-1-1-1-11-1-1-11111-1-1-1-1111111-1-1-1-11-11-111-1-1-1-11111-111-1-1-11-1111-111-1-1-1-111-11
χ141111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-1-1-1-11-1-1-11111-1-1-1-1111111-1-1-1-1-11-1111-1-1-1-11111-11-11-1-1-1111-11-1-11111-1-11-1
χ151111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111111-11-111-1-1-1-111111-1-11111-1-1-11-1-1-111-1-1111-1
χ161111-1-1111-1-11111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-11111-11-1111-1-1-1-111111-11-111-11-1-1-1111-1-111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000002-2-2200000000000000002-200-220000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000-222-20000000000000000-22002-20000000000
χ192222222-1222222-1-12-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000000000002200-1-100-1-1-1-1-1-1000000
χ202222222-1222222-1-12-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-2001100111111000000
χ212222222-1222222-1-12-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-120000-2-2-1-1-2-211-2-211-1-1111111112222000000000000-2-200-1-100-1-11111000000
χ222222222-1222222-1-12-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-120000-2-2-1-1-2-211-2-211-1-111111111-2-2-2-20000000000002200110011-1-1-1-1000000
χ232222222-1-2-2-2-222-1-12-1-2-2-2-2-122-1-1-1-1-1-211111111-2000000-1-100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i32-2-220000000000000000-11001-1−i3i3−i3i3000000
χ242222222-1-2-2-2-222-1-12-1-2-2-2-2-122-1-1-1-1-1-211111111-2000000-1-100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i3-222-200000000000000001-100-11i3−i3i3−i3000000
χ252222222-1-2-2-2-222-1-12-1-2-2-2-2-122-1-1-1-1-1-211111111-2000000-1-100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i32-2-220000000000000000-11001-1i3−i3i3−i3000000
χ262222222-1-2-2-2-222-1-12-1-2-2-2-2-122-1-1-1-1-1-211111111-2000000-1-100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i3-222-200000000000000001-100-11−i3i3−i3i3000000
χ27222222-122222-1-122-12-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-12200-1-100-1-1000000000000
χ28222222-122222-1-122-12-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-12222-2-2-1-111-2-211-2-2-1-111111111000022-1-1-1-1-1-1-1-1-2-200110011000000000000
χ29222222-122222-1-122-12-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-2-2-2-222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-211111111-2-200110011000000000000
χ30222222-122222-1-122-12-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-2-2-2-2-2-2-1-111-2-211-2-2-1-1111111110000-2-2111111112200-1-100-1-1000000000000
χ312222-2-222-222-222222222222-2-2-2-2222-2-2-2222222-2000000-2-200000000-2-20000000022-2-200000000000000002200-2-20000000000
χ322222-2-222-222-222222222222-2-2-2-2222-2-2-2222222-2000000-2-200000000-2-200000000-2-2220000000000000000-2-200220000000000
χ332222-2-22-12-2-2222-1-12-1-2-2-2-2-1-2-211-1-1-12-1-1111111200002-21122-1-1-2-211-1-1-1-1-1-111112-22-20000000000002-200-1100-11-1-111000000
χ342222-2-22-12-2-2222-1-12-1-2-2-2-2-1-2-211-1-1-12-1-1111111200002-21122-1-1-2-211-1-1-1-1-1-11111-22-22000000000000-22001-1001-111-1-1000000
χ352222-2-22-12-2-2222-1-12-1-2-2-2-2-1-2-211-1-1-12-1-111111120000-2211-2-21122-1-1-1-11111-1-1-1-12-22-2000000000000-2200-1100-1111-1-1000000
χ362222-2-22-12-2-2222-1-12-1-2-2-2-2-1-2-211-1-1-12-1-111111120000-2211-2-21122-1-1-1-11111-1-1-1-1-22-220000000000002-2001-1001-1-1-111000000
χ372222-2-22-1-222-222-1-12-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-20000001100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i322-2-20000000000000000-1-10011−i3i3i3−i3000000
χ382222-2-22-1-222-222-1-12-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-20000001100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i3-2-22200000000000000001100-1-1i3−i3−i3i3000000
χ392222-2-22-1-222-222-1-12-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-20000001100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i322-2-20000000000000000-1-10011i3−i3−i3i3000000
χ402222-2-22-1-222-222-1-12-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-20000001100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i3-2-22200000000000000001100-1-1−i3i3i3−i3000000
χ412222-2-2-122-2-22-1-122-121111-111-2-2-1-1-1-122-2-21111-122222-211-1-12211-2-2-1-1-1-1-1-111110000-2-2-1-1-1-111112-200-1-10011000000000000
χ422222-2-2-122-2-22-1-122-121111-111-2-2-1-1-1-122-2-21111-12222-221111-2-2-1-122-1-11111-1-1-1-10000-2-2-1-1-1-11111-22001100-1-1000000000000
χ432222-2-2-122-2-22-1-122-121111-111-2-2-1-1-1-122-2-21111-1-2-2-2-22-211-1-12211-2-2-1-1-1-1-1-111110000221111-1-1-1-1-22001100-1-1000000000000
χ442222-2-2-122-2-22-1-122-121111-111-2-2-1-1-1-122-2-21111-1-2-2-2-2-221111-2-2-1-122-1-11111-1-1-1-10000221111-1-1-1-12-200-1-10011000000000000
χ452-22-22-22222-2-2-2-2-2-22222-2-222-22-22-2-222-22-222-2-2-22i2i−2i−2i002-2000000002-20000000000002i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ462-22-22-22222-2-2-2-2-2-22222-2-222-22-22-2-222-22-222-2-2-2−2i−2i2i2i002-2000000002-2000000000000−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ472-22-22-222-2-222-2-2-2-222-2-22222-22-22-2-2-2-22-22-2-22220000002-200000000-22000000000000000000000000000000000000002-22-200
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χ492-22-22-2-1222-2-211-2-2-12-1-111-1-112-2-111-12-22-2-1-11112i2i−2i−2i00-113−3003−300-113−33−33−33−300002i−2i−i−iii−i−iii0000−i3i300−i3i3000000000000
χ502-22-22-2-1222-2-211-2-2-12-1-111-1-112-2-111-12-22-2-1-11112i2i−2i−2i00-11−3300−3300-11−33−33−33−3300002i−2i−i−iii−i−iii0000i3−i300i3−i3000000000000
χ512-22-22-2-1222-2-211-2-2-12-1-111-1-112-2-111-12-22-2-1-1111−2i−2i2i2i00-113−3003−300-113−33−33−33−30000−2i2iii−i−iii−i−i0000i3−i300i3−i3000000000000
χ522-22-22-2-1222-2-211-2-2-12-1-111-1-112-2-111-12-22-2-1-1111−2i−2i2i2i00-11−3300−3300-11−33−33−33−330000−2i2iii−i−iii−i−i0000−i3i300−i3i3000000000000
χ532-22-2-22222-22-2-2-2-2-222-2-2222-22-222-2-222-2-22-2-222-22i2i−2i−2i00-22000000002-2000000000000−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ542-22-2-22222-22-2-2-2-2-222-2-2222-22-222-2-222-2-22-2-222-2−2i−2i2i2i00-22000000002-20000000000002i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ552-22-2-2222-22-22-2-2-2-22222-2-22-22-222-2-2-2-222-222-2-22000000-2200000000-22000000000000000000000000000000000000002-2-2200
χ562-22-2-2222-22-22-2-2-2-22222-2-22-22-222-2-2-2-222-222-2-22000000-2200000000-2200000000000000000000000000000000000000-222-200
χ572-22-2-22-122-22-211-2-2-1211-1-1-11-1-22-111-12-2-2211-1-112i2i−2i−2i001-13−300−3300-113−33−3−33−330000−2i2i−i−iiiii−i−i0000−i3i300i3−i3000000000000
χ582-22-2-22-122-22-211-2-2-1211-1-1-11-1-22-111-12-2-2211-1-112i2i−2i−2i001-1−33003−300-11−33−333−33−30000−2i2i−i−iiiii−i−i0000i3−i300−i3i3000000000000
χ592-22-2-22-122-22-211-2-2-1211-1-1-11-1-22-111-12-2-2211-1-11−2i−2i2i2i001-13−300−3300-113−33−3−33−3300002i−2iii−i−i−i−iii0000i3−i300−i3i3000000000000
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χ884-44-4-44-2-24-44-42222-2-222-2-212-22-21-1-1-2-222-2-1-1112000000-11−23230023−23001-13−33−3−33−33000000000000000000000000000000000000
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χ944-4-4400-2400002-2-442-423−23−2323-2000022-20000023−23−232302i2−2i2−2i22i20000000000000000000000000000−i2i2i2−i2i6−i6−i6i60000000000000000000000
χ954-4-4400-2400002-2-442-4−232323−23-2000022-200000−232323−230−2i22i22i2−2i20000000000000000000000000000i2−i2−i2i2i6−i6−i6i60000000000000000000000
χ964-4-4400-2400002-2-442-4−232323−23-2000022-200000−232323−2302i2−2i2−2i22i20000000000000000000000000000−i2i2i2−i2−i6i6i6−i60000000000000000000000
χ9788-8-8008-400008-8-44-840000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-44-444443−4343−4320000-22-200000−2323−2323000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44-4444−4343−434320000-22-20000023−2323−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-884-4-840000-4000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-44-44443−43−434320000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-44-444−434343−4320000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000000000

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