Finite Group Databasebeta

← Group #13172232

Character table — Group #13172232

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222222244444444444444444444444466668888888888121212121212121212121212121212121212121212121212121212121212121212121212181824242424242424243636363636363636365454545472727272
order122222333666666666666633366666666666666666666644443666666666444412121212121212121212121212121212121212121212121212121212121212124412121212121212124444412121212224412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-11-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1111111111111-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111111111111111111111-1-111111111111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-11-11
χ51111111111111111111111111111111111111111111111-1-1111111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111111111-11-1-11-1-1-1-1-1-1-1-1-11-11
χ61111111111111111111111111111111111111111111111-1-1111111111111-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-111111-11-1
χ71111111111111111111111111111111111111111111111-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-111111111-1-1-1-1
χ81111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-11111
χ91111-1-1111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-11-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111-11-111-1-11-1-1-1111-1-1-1-111-1-111
χ101111-1-1111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-11-11-1-111-11-11-111-1-111-1-111-1-1
χ111111-1-1111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-11-1-1111-1-1-1-1-111-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11-11-111-1-1111-1-1-1-11111-1-1-111-1
χ121111-1-1111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-11-1-1111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-11-11-1-111-1-1111-1-111-1-1111-1-11
χ131111-1-1111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-11-111-1-1-1-1111-1-11111-1-11-1-11
χ141111-1-1111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-11-1-11-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11-1-111111-1-1-1-111-1-111-111-1
χ151111-1-1111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1111-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111111-11-111-1-1-11-11-111-1-1-1-11111-1-1
χ161111-1-1111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-11-11-1-1111-1-1-1111-1-111-1-1-1-111
χ1722222222-122-1222222-12-122-1-122-1-122-1-1-12222-1-1-1-1-1-12-10022-1-1-1-1-1-1-1-1-1-1022200000000-1-1-1-1222200000000-1-1-1-1-1-1-1-100-122-1-1-1-1-102002000000000-10-1
χ1822222222-122-1222222-12-122-1-122-1-122-1-1-12222-1-1-1-1-1-12-10022-1-1-1-1-1-1-1-1-1-10-22-200000000-1-1-1-1222200000000-1-1-1-1-1-1-1-1001-2-2111110-200-2000000000101
χ1922222222-122-1222222-12-122-1-122-1-122-1-1-12222-1-1-1-1-1-12-100-2-2-1-1-1-1-1-1-1-1-1-102-22000000001111-2-2-2-2000000001111111100-122-1-1-1-1-10-200-2000000000101
χ2022222222-122-1222222-12-122-1-122-1-122-1-1-12222-1-1-1-1-1-12-100-2-2-1-1-1-1-1-1-1-1-1-10-2-2-2000000001111-2-2-2-20000000011111111001-2-21111102002000000000-10-1
χ212222222-122-1222222-12-122-12-1-1-122-1-122-1-1-1-1-12222-1-1-122200-1-1-1-1-1-1-1-1-1-122022222-1-1-1-100000000-1-1-1-1-1-1-1-100000000002-1-12-1-1-1-12002000000000-10-10
χ222222222-122-1222222-12-122-12-1-1-122-1-122-1-1-1-1-12222-1-1-122200-1-1-1-1-1-1-1-1-1-12-20-22222-1-1-1-100000000-1-1-1-1-1-1-1-10000000000-211-21111-200-20000000001010
χ232222222-122-1222222-12-122-12-1-1-122-1-122-1-1-1-1-12222-1-1-12-2-200-1-1-1-1-1-1-1-1-1-1-2202-2-2-2-21111000000001111111100000000002-1-12-1-1-1-1-200-20000000001010
χ242222222-122-1222222-12-122-12-1-1-122-1-122-1-1-1-1-12222-1-1-12-2-200-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2-2-2111100000000111111110000000000-211-211112002000000000-10-10
χ25222222-122-122-1-1-1-1-12222-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-12222-122-1-1-1-1-1-1-12020-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000200-1-1-1-100000000
χ26222222-122-122-1-1-1-1-12222-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-122-2-2-122-1-1-1-1-1-1-120-20-1-1-1-12222-2-2-2-21111-1-1-1-1-1-1-1-111111111-2-20000000000-200111100000000
χ27222222-122-122-1-1-1-1-12222-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-1-2-222-122-1-1-1-1-1-1-1-20201111-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1-2-20000000000-200111100000000
χ28222222-122-122-1-1-1-1-12222-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-2-122-1-1-1-1-1-1-1-20-201111-2-2-2-2-2-2-2-211111111111111111111220000000000200-1-1-1-100000000
χ292222-2-222-122-1-2-2-2-222-12-122-1-1-2-21122-1-1-1-2-2-2-21111-1-12-10022-111-1-1-1111102-2-200000000-1-11122-2-200000000-1-1-1-1111100-1-221-1-1110-200200000000010-1
χ302222-2-222-122-1-2-2-2-222-12-122-1-1-2-21122-1-1-1-2-2-2-21111-1-12-10022-111-1-1-111110-2-2200000000-1-11122-2-200000000-1-1-1-111110012-2-111-1-10200-2000000000-101
χ312222-2-222-122-1-2-2-2-222-12-122-1-1-2-21122-1-1-1-2-2-2-21111-1-12-100-2-2-111-1-1-11111022-20000000011-1-1-2-222000000001111-1-1-1-100-1-221-1-1110200-2000000000-101
χ322222-2-222-122-1-2-2-2-222-12-122-1-1-2-21122-1-1-1-2-2-2-21111-1-12-100-2-2-111-1-1-111110-2220000000011-1-1-2-222000000001111-1-1-1-10012-2-111-1-10-200200000000010-1
χ332222-2-22-122-12-2-2-2-22-12-122-12-111-2-2-1-122-11111-2-2-2-2-1-1-122200-111-1-1-11111-220-222-2-2-1-11100000000-1-1-1-11111000000000021-1-2-1-111200-200000000010-10
χ342222-2-22-122-12-2-2-2-22-12-122-12-111-2-2-1-122-11111-2-2-2-2-1-1-122200-111-1-1-11111-2-20222-2-2-1-11100000000-1-1-1-111110000000000-2-11211-1-1-2002000000000-1010
χ352222-2-22-122-12-2-2-2-22-12-122-12-111-2-2-1-122-11111-2-2-2-2-1-1-12-2-200-111-1-1-11111220-2-2-22211-1-1000000001111-1-1-1-1000000000021-1-2-1-111-2002000000000-1010
χ362222-2-22-122-12-2-2-2-22-12-122-12-111-2-2-1-122-11111-2-2-2-2-1-1-12-2-200-111-1-1-111112-202-2-22211-1-1000000001111-1-1-1-10000000000-2-11211-1-1200-200000000010-10
χ372222-2-2-122-1221111-12222-1-1-12-2-2-2-2-1-1-1-121111111122-1-12222-1-2-2-1-1-11111-20-20-1-11122-2-222-2-2-1-111-1-1-1-11111-1-1-1-11111220000000000-200-1-11100000000
χ382222-2-2-122-1221111-12222-1-1-12-2-2-2-2-1-1-1-121111111122-1-122-2-2-1-2-2-1-1-11111-2020-1-11122-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-1-2-2000000000020011-1-100000000
χ392222-2-2-122-1221111-12222-1-1-12-2-2-2-2-1-1-1-121111111122-1-1-2-222-1-2-2-1-1-1111120-2011-1-1-2-22222-2-2-1-1111111-1-1-1-1-1-1-1-11111-2-2000000000020011-1-100000000
χ402222-2-2-122-1221111-12222-1-1-12-2-2-2-2-1-1-1-121111111122-1-1-2-2-2-2-1-2-2-1-1-11111202011-1-1-2-222-2-22211-1-11111-1-1-1-11111-1-1-1-1220000000000-200-1-11100000000
χ4122-2-200222-2-2-200002-222-2-22220000-2-22-2-2000000002-22-22-22i−2i2002-2-2000000002-2002-2002i−2i002i−2i0022-2-200002i2i−2i−2i00002i−2i00000000000002i−2i0000000000
χ4222-2-200222-2-2-200002-222-2-22220000-2-22-2-2000000002-22-22-2−2i2i2002-2-2000000002-2002-200−2i2i00−2i2i0022-2-20000−2i−2i2i2i0000−2i2i0000000000000−2i2i0000000000
χ4322-2-200222-2-2-200002-222-2-22220000-2-22-2-2000000002-22-2-222i−2i2002-2-200000000-2200-22002i−2i002i−2i00-2-22200002i2i−2i−2i0000−2i2i0000000000000−2i2i0000000000
χ4422-2-200222-2-2-200002-222-2-22220000-2-22-2-2000000002-22-2-22−2i2i2002-2-200000000-2200-2200−2i2i00−2i2i00-2-2220000−2i−2i2i2i00002i−2i00000000000002i−2i0000000000
χ4522-2-200-1221-2-2−i3−i3i3i3-1-222-21-1-12000011-11-2−i3−i3i3i3−i3−i3i3i32-2-112-22i−2i-100-111−i3−i3i3i30000-11−i3i32-2002i−2i00−ii3−3-1-111−i3−i3i3i3−i−iii33−3−32i−2i0000000000000−ii3−300000000
χ4622-2-200-1221-2-2−i3−i3i3i3-1-222-21-1-12000011-11-2−i3−i3i3i3−i3−i3i3i32-2-112-2−2i2i-100-111−i3−i3i3i30000-11−i3i32-200−2i2i00i−i−33-1-111−i3−i3i3i3ii−i−i−3−333−2i2i0000000000000i−i−3300000000
χ4722-2-200-1221-2-2−i3−i3i3i3-1-222-21-1-12000011-11-2−i3−i3i3i3−i3−i3i3i32-2-11-222i−2i-100-111−i3−i3i3i300001-1i3−i3-22002i−2i00−ii3−311-1-1i3i3−i3−i3−i−iii33−3−3−2i2i0000000000000i−i−3300000000
χ4822-2-200-1221-2-2−i3−i3i3i3-1-222-21-1-12000011-11-2−i3−i3i3i3−i3−i3i3i32-2-11-22−2i2i-100-111−i3−i3i3i300001-1i3−i3-2200−2i2i00i−i−3311-1-1i3i3−i3−i3ii−i−i−3−3332i−2i0000000000000−ii3−300000000
χ4922-2-200-1221-2-2i3i3−i3−i3-1-222-21-1-12000011-11-2i3i3−i3−i3i3i3−i3−i32-2-112-22i−2i-100-111i3i3−i3−i30000-11i3−i32-2002i−2i00−ii−33-1-111i3i3−i3−i3−i−iii−3−3332i−2i0000000000000−ii−3300000000
χ5022-2-200-1221-2-2i3i3−i3−i3-1-222-21-1-12000011-11-2i3i3−i3−i3i3i3−i3−i32-2-112-2−2i2i-100-111i3i3−i3−i30000-11i3−i32-200−2i2i00i−i3−3-1-111i3i3−i3−i3ii−i−i33−3−3−2i2i0000000000000i−i3−300000000
χ5122-2-200-1221-2-2i3i3−i3−i3-1-222-21-1-12000011-11-2i3i3−i3−i3i3i3−i3−i32-2-11-222i−2i-100-111i3i3−i3−i300001-1−i3i3-22002i−2i00−ii−3311-1-1−i3−i3i3i3−i−iii−3−333−2i2i0000000000000i−i3−300000000
χ5222-2-200-1221-2-2i3i3−i3−i3-1-222-21-1-12000011-11-2i3i3−i3−i3i3i3−i3−i32-2-11-22−2i2i-100-111i3i3−i3−i300001-1−i3i3-2200−2i2i00i−i3−311-1-1−i3−i3i3i3ii−i−i33−3−32i−2i0000000000000−ii−3300000000
χ532-22-22-22222222-22-2-2-2-2-2-2-22222-22-22-2-2222-22-22-22-2-2-2-2-2000022-2-22-22-22-200000000000000000000000000000000000000000000000000000002-22-20000
χ542-22-22-22222222-22-2-2-2-2-2-2-22222-22-22-2-2222-22-22-22-2-2-2-2-2000022-2-22-22-22-20000000000000000000000000000000000000000000000000000000-22-220000
χ552-22-2-22222222-22-22-2-2-2-2-2-2222-22-222-2-222-22-22-22-22-2-2-2-200002-22-22-2-22-2200000000000000000000000000000000000000000000000000000002-2-220000
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χ574444444-2-24-2-244444-2-2-2-24-2-21-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211-2-20000111111111104040000000000000000000000000000000000-2-2-2-2111100000000000000000
χ584444444-2-24-2-244444-2-2-2-24-2-21-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211-2-2000011111111110-40-400000000000000000000000000000000002222-1-1-1-100000000000000000
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χ61444444-2-24-2-24-2-2-2-2-2-24-24-21-2-2-2-24411-2-2-21111-2-2-2-2-2-21-244001-2-211111114000-2-2-2-2-2-2-2-2000000001111111100000000000000000000000000000000000
χ62444444-2-24-2-24-2-2-2-2-2-24-24-21-2-2-2-24411-2-2-21111-2-2-2-2-2-21-2-4-4001-2-21111111-40002222222200000000-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ634444-4-44-2-24-2-2-4-4-4-44-2-2-2-24-2-212222-2-2-2-212222222211-2-200001-1-1111-1-1-1-1040-40000000000000000000000000000000000-22-2211-1-100000000000000000
χ644444-4-44-2-24-2-2-4-4-4-44-2-2-2-24-2-212222-2-2-2-212222222211-2-200001-1-1111-1-1-1-10-40400000000000000000000000000000000002-22-2-1-11100000000000000000
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χ664444-4-4-24-2-24-22222-24-24-2-2-21-2-4-422-2-211-22222-1-1-1-1-2-2-2100-4-4122111-1-1-1-100400000000022-2-222-2-200000000-1-1-1-11111000000000000000000000000000
χ674444-4-4-2-24-2-242222-2-24-24-21-2-222-4-411-2-2-2-1-1-1-12222-2-21-24400122111-1-1-1-1-4000-2-222-2-222000000001111-1-1-1-100000000000000000000000000000000000
χ684444-4-4-2-24-2-242222-2-24-24-21-2-222-4-411-2-2-2-1-1-1-12222-2-21-2-4-400122111-1-1-1-1400022-2-222-2-200000000-1-1-1-1111100000000000000000000000000000000000
χ6944-4-40044-2-4-4200004-4-242-44-2-20000-4-4-22200000000-2242004i−4i-200-2220000000000000000−2i2i004i−4i0000000000−2i−2i2i2i0000000000000000000000000000000
χ7044-4-40044-2-4-4200004-4-242-44-2-20000-4-4-22200000000-224200−4i4i-200-22200000000000000002i−2i00−4i4i00000000002i2i−2i−2i0000000000000000000000000000000
χ7144-4-4004-24-42-40000424-2-4-4-24-20000224-4200000000-22-2-44-400-200-222000000004-400-220000000000-2-222000000000000000000000000000000000000000
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χ864-44-44-4-24-2-24-2-22-222-42-422-21-24-4-22-22-11-2-22-221-11-1222-100001-22-11-11-11-100000000000000000000000000003i−3i3i−3i3i−3i3i−3i000000000000000000000000000
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χ1134-4-4400-2-2422-42i3−2i3−2i32i32-2-424-21-2-20000-11222−i3i3i3−i32i3−2i3−2i32i32-2-1-20000100-1-11−i3i3i3−i30000000000−232300000000−3i3i3i−3i3−3−3300000000000000000000000000000000000
χ114888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4222222222222222220000-122-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1158888-8-8-4-4-4-4-4-44444-4-4-4-4-4-4222444422222-2-2-2-2-2-2-2-222220000-1-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000000
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χ11788-8-800-4-4-4444−4i3−4i34i34i3-44-4-4442220000-2-22-2-22i32i3−2i3−2i32i32i3−2i3−2i32-22-20000-100-111−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000000
χ11888-8-800-4-4-44444i34i3−4i3−4i3-44-4-4442220000-2-22-2-2−2i3−2i32i32i3−2i3−2i32i32i32-22-20000-100-111i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000000
χ1198-88-88-8-4-4-4-4-4-4-44-44444444222-44-442-2-2222-22-22-22-2-2-2-2-20000-12-21-11-11-11000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-88-4-4-4-4-4-44-44-44444442224-44-42-2-222-22-22-22-22-2-2-2-20000-1-221-111-11-1000000000000000000000000000000000000000000000000000000000000000
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χ1228-8-8800-4-4-4444−4i34i34i3−4i34-444-4-42220000-22-2-2-22i3−2i3−2i32i32i3−2i3−2i32i3-22-220000-10011-1−i3i3i3−i3000000000000000000000000000000000000000000000000000000000000000
χ1238-8-8800-4-4-44444i3−4i3−4i34i34-444-4-42220000-22-2-2-2−2i32i32i3−2i3−2i32i32i3−2i3-22-220000-10011-1i3−i3−i3i3000000000000000000000000000000000000000000000000000000000000000

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