Finite Group Databasebeta

← Group #11867176

Character table — Group #11867176

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666121212123666666612121212121212121212224444661212121212121212121212121212121212122466668888121212122224666666121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ91111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111111-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-11-11-1-111-1-11111-1-111-1-11-1
χ101111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111111-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-11
χ111111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-111111-11-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-11-11-111-1-111-1-111-1-111-1-1-11
χ121111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-111111-11-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1111-1
χ131111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-1-1-11-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-11
χ141111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-1-1-11-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1111-11-111-1-111-1-1-1-11111-1-11-1
χ151111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1111-1
χ161111-1-1111-1-11111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-111-11-11-1-111-1-111-1-11111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2002200000000-2-2000000002-222220000-2-2-2-20000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222002200000000-2-200000000-22-2-2-2-2000022220000000000000000000000
χ192222222-12222222-1-1-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-1-1-1-12002-1-10000-1-10000000000
χ202222222-12222222-1-1-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-122222-2-2-1-1-2-211-2-211-1-11111111122-1-1-1-10000-1-1-1-1-200-2110000110000000000
χ212222222-12222222-1-1-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-12-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100001111-200-2110000110000000000
χ222222222-12222222-1-1-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-12-2-2-2-2-2-2-1-1-2-211-2-211-1-111111111-2-21111000011112002-1-10000-1-10000000000
χ232222222-1-2-2-2-2222-1-1-11111-122-1-1-1-1-1-2-2-2111111-222-2-200-1-100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i32-2-1-1-1-1000011110000−i3i30000−i3i30000000000
χ242222222-1-2-2-2-2222-1-1-11111-122-1-1-1-1-1-2-2-2111111-222-2-200-1-100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i32-2-1-1-1-1000011110000i3−i30000i3−i30000000000
χ252222222-1-2-2-2-2222-1-1-11111-122-1-1-1-1-1-2-2-2111111-2-2-22200-1-100−i3i300−i3i311−i3−i3i3i3−i3−i3i3i3-2211110000-1-1-1-10000i3−i30000i3−i30000000000
χ262222222-1-2-2-2-2222-1-1-11111-122-1-1-1-1-1-2-2-2111111-2-2-22200-1-100i3−i300i3−i311i3i3−i3−i3i3i3−i3−i3-2211110000-1-1-1-10000−i3i30000−i3i30000000000
χ27222222-122222-1-1-12222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1000022-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000022220000022000-1-1-1-100-1-1-1-1000000
χ28222222-122222-1-1-12222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1000022-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000-2-20001111001111000000
χ29222222-122222-1-1-12222222-1-1-122-1-1-1-1-1-122-1-1-1-1-10000-2-2-1-111-2-211-2-2-1-111111111000000222200000-2-2000111100-1-1-1-1000000
χ30222222-122222-1-1-12222222-1-1-122-1-1-1-1-1-122-1-1-1-1-10000-2-2-1-111-2-211-2-2-1-111111111000000-2-2-2-20000022000-1-1-1-1001111000000
χ312222-2-222-222-222222222222-2-2-2-2222-222-2-22222-222-2-200-2-200000000-2-200000000-2222-2-20000-2-2220000000000000000000000
χ322222-2-222-222-222222222222-2-2-2-2222-222-2-22222-2-2-22200-2-200000000-2-2000000002-2-2-222000022-2-20000000000000000000000
χ332222-2-22-12-2-22222-1-1-11111-1-2-211-1-1-12-2-2-1-11111222222-21122-1-1-2-211-1-1-1-1-1-11111-2-2-1-1110000-1-111-2002110000-1-10000000000
χ342222-2-22-12-2-22222-1-1-11111-1-2-211-1-1-12-2-2-1-1111122222-2211-2-21122-1-1-1-11111-1-1-1-1-2-2-1-1110000-1-111200-2-1-10000110000000000
χ352222-2-22-12-2-22222-1-1-11111-1-2-211-1-1-12-2-2-1-111112-2-2-2-22-21122-1-1-2-211-1-1-1-1-1-111112211-1-1000011-1-1200-2-1-10000110000000000
χ362222-2-22-12-2-22222-1-1-11111-1-2-211-1-1-12-2-2-1-111112-2-2-2-2-2211-2-21122-1-1-1-11111-1-1-1-12211-1-1000011-1-1-2002110000-1-10000000000
χ372222-2-22-1-222-2222-1-1-1-1-1-1-1-1-2-211-1-1-1-22211-1-1-1-1-222-2-2001100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i3-22-1-111000011-1-10000i3−i30000−i3i30000000000
χ382222-2-22-1-222-2222-1-1-1-1-1-1-1-1-2-211-1-1-1-22211-1-1-1-1-222-2-2001100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i3-22-1-111000011-1-10000−i3i30000i3−i30000000000
χ392222-2-22-1-222-2222-1-1-1-1-1-1-1-1-2-211-1-1-1-22211-1-1-1-1-2-2-222001100−i3i300i3−i311−i3−i3i3i3i3i3−i3−i32-211-1-10000-1-1110000−i3i30000i3−i30000000000
χ402222-2-22-1-222-2222-1-1-1-1-1-1-1-1-2-211-1-1-1-22211-1-1-1-1-2-2-222001100i3−i300−i3i311i3i3−i3−i3−i3−i3i3i32-211-1-10000-1-1110000i3−i30000−i3i30000000000
χ412222-2-2-122-2-22-1-1-1222-2-2-2-2-111-2-2-1-1-1-111221111-100002-211-1-12211-2-2-1-1-1-1-1-1111100000022-2-2000002-2000-1-11100-1-111000000
χ422222-2-2-122-2-22-1-1-1222-2-2-2-2-111-2-2-1-1-1-111221111-100002-211-1-12211-2-2-1-1-1-1-1-11111000000-2-22200000-2200011-1-10011-1-1000000
χ432222-2-2-122-2-22-1-1-1222-2-2-2-2-111-2-2-1-1-1-111221111-10000-221111-2-2-1-122-1-11111-1-1-1-100000022-2-200000-2200011-1-100-1-111000000
χ442222-2-2-122-2-22-1-1-1222-2-2-2-2-111-2-2-1-1-1-111221111-10000-221111-2-2-1-122-1-11111-1-1-1-1000000-2-222000002-2000-1-1110011-1-1000000
χ452-22-22-22222-2-22-2-2-2-2222-2-222-22-22-2-222-22-222-2-2-20000002-2000000002-2000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
χ462-22-22-22222-2-22-2-2-2-2222-2-222-22-22-2-222-22-222-2-2-20000002-2000000002-200000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000
χ472-22-22-222-2-2222-2-2-2-22-2-22222-22-22-2-2-2-22-22-2-22220000002-200000000-22000000000000000000000000000000000000002-22-200
χ482-22-22-222-2-2222-2-2-2-22-2-22222-22-22-2-2-2-22-22-2-22220000002-200000000-2200000000000000000000000000000000000000-22-2200
χ492-22-22-2-1222-2-2-111-2-2222-2-2-1-112-2-111-1-112-2-1-1111000000-113−3003−300-113−33−33−33−30000002i−2i2i−2i0000000000−i3i3−i3i300−ii−ii000000
χ502-22-22-2-1222-2-2-111-2-2222-2-2-1-112-2-111-1-112-2-1-1111000000-113−3003−300-113−33−33−33−3000000−2i2i−2i2i0000000000i3−i3i3−i300i−ii−i000000
χ512-22-22-2-1222-2-2-111-2-2222-2-2-1-112-2-111-1-112-2-1-1111000000-11−3300−3300-11−33−33−33−330000002i−2i2i−2i0000000000i3−i3i3−i300−ii−ii000000
χ522-22-22-2-1222-2-2-111-2-2222-2-2-1-112-2-111-1-112-2-1-1111000000-11−3300−3300-11−33−33−33−33000000−2i2i−2i2i0000000000−i3i3−i3i300i−ii−i000000
χ532-22-2-22222-22-22-2-2-2-22-2-2222-22-222-2-22-222-2-2-222-2000000-22000000002-2000000000000002i−2i−2i2i00000000000000002i−2i−2i2i000000
χ542-22-2-22222-22-22-2-2-2-22-2-2222-22-222-2-22-222-2-2-222-2000000-22000000002-200000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i000000
χ552-22-2-2222-22-222-2-2-2-2222-2-22-22-222-2-2-22-2-2222-2-22000000-2200000000-22000000000000000000000000000000000000002-2-2200
χ562-22-2-2222-22-222-2-2-2-2222-2-22-22-222-2-2-22-2-2222-2-22000000-2200000000-2200000000000000000000000000000000000000-222-200
χ572-22-2-22-122-22-2-111-2-22-2-222-11-1-22-111-11-12-211-1-110000001-13−300−3300-113−33−3−33−330000002i−2i−2i2i0000000000−i3i3i3−i300−iii−i000000
χ582-22-2-22-122-22-2-111-2-22-2-222-11-1-22-111-11-12-211-1-110000001-13−300−3300-113−33−3−33−33000000−2i2i2i−2i0000000000i3−i3−i3i300i−i−ii000000
χ592-22-2-22-122-22-2-111-2-22-2-222-11-1-22-111-11-12-211-1-110000001-1−33003−300-11−33−333−33−30000002i−2i−2i2i0000000000i3−i3−i3i300−iii−i000000
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χ884-44-4-44-2-24-44-4-22222-222-2-212-22-21-1-1-22-2-22-1-1112000000-11−23230023−23001-13−33−3−33−33000000000000000000000000000000000000
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χ9888-8-800-4-400004-44-44443−4343−4320000-22-200000−2323−2323000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004-44-444−4343−434320000-22-20000023−2323−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-48000044-4-88-80000-4000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-4000044-44-4443−43−434320000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-4000044-44-44−434343−4320000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000000000

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