Finite Group Databasebeta

← Group #13140230

Character table — Group #13140230

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order1222222236666666441212121233666666666666663666666612121212121212121212121212121212444444444444444444121212121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111-1-1-1-11111-1-1-11-1i−iii−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−iii−i−i11-1-1i−i1-11-1ii−i−i11-1-1ii−i−i11-1-111-1-1ii−i−i
χ10111-1-1-1-11111-1-1-11-1i−iii−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i−i−iii-1-111−ii1-1-11ii−i−i11-1-1−i−iii-1-111-1-111−i−iii
χ11111-1-1-1-11111-1-1-11-1i−iii−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iiiii−i−i-1-111−ii-111-1−i−iii-1-111ii−i−i11-1-1-1-111−i−iii
χ12111-1-1-1-11111-1-1-11-1i−iii−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii−i−iii11-1-1i−i-11-11−i−iii-1-111−i−iii-1-11111-1-1ii−i−i
χ13111-1-1-1-11111-1-1-11-1−ii−i−iii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−iii−i−i11-1-1−ii-11-11ii−i−i-1-111ii−i−i-1-11111-1-1−i−iii
χ14111-1-1-1-11111-1-1-11-1−ii−i−iii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−i−i−iii-1-111i−i-111-1ii−i−i-1-111−i−iii11-1-1-1-111ii−i−i
χ15111-1-1-1-11111-1-1-11-1−ii−i−iii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−iiiii−i−i-1-111i−i1-1-11−i−iii11-1-1ii−i−i-1-111-1-111ii−i−i
χ16111-1-1-1-11111-1-1-11-1−ii−i−iii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii−i−iii11-1-1−ii1-11-1−i−iii11-1-1−i−iii11-1-111-1-1−i−iii
χ1722222222222222222222222-122-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002222000000002200000000-1-1-1-1-1-1-1-100000000
χ1822222222222222222222222-122-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-2000000001111111100000000
χ192222222222222222222222-12-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022222200000000000000000000-1-1-1-1-1-1-1-1
χ202222222222222222222222-12-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-20000000000000000000011111111
χ212222222222222222-2-2-2-2-2-22-122-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-2111111110000222200000000-2-200000000-1-1-1-1111100000000
χ222222222222222222-2-2-2-2-2-22-122-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-2-2-20000000022000000001111-1-1-1-100000000
χ232222222222222222-2-2-2-2-2-2-12-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000002222-2-200000000000000000000-1-1-1-11111
χ242222222222222222-2-2-2-2-2-2-12-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000-2-2-2-222000000000000000000001111-1-1-1-1
χ25222-2-2-2-22222-2-2-22-22i−2i2i2i−2i−2i2-122-1-1-2-2-21112-11-2-1-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii00002i2i−2i−2i000000002-200000000−i−iii-1-11100000000
χ26222-2-2-2-22222-2-2-22-22i−2i2i2i−2i−2i2-122-1-1-2-2-21112-11-2-1-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii0000−2i−2i2i2i00000000-2200000000ii−i−i11-1-100000000
χ27222-2-2-2-22222-2-2-22-22i−2i2i2i−2i−2i-12-1-122111-2-2-2-12-21-1-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii0000000022-2-22i−2i00000000000000000000-1-111−i−iii
χ28222-2-2-2-22222-2-2-22-22i−2i2i2i−2i−2i-12-1-122111-2-2-2-12-21-1-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii00000000-2-222−2i2i0000000000000000000011-1-1ii−i−i
χ29222-2-2-2-22222-2-2-22-2−2i2i−2i−2i2i2i2-122-1-1-2-2-21112-11-2-1-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i00002i2i−2i−2i00000000-2200000000−i−iii11-1-100000000
χ30222-2-2-2-22222-2-2-22-2−2i2i−2i−2i2i2i2-122-1-1-2-2-21112-11-2-1-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000−2i−2i2i2i000000002-200000000ii−i−i-1-11100000000
χ31222-2-2-2-22222-2-2-22-2−2i2i−2i−2i2i2i-12-1-122111-2-2-2-12-21-1-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i0000000022-2-2−2i2i00000000000000000000-1-111ii−i−i
χ32222-2-2-2-22222-2-2-22-2−2i2i−2i−2i2i2i-12-1-122111-2-2-2-12-21-1-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i00000000-2-2222i−2i0000000000000000000011-1-1−i−iii
χ3322-222-2-2-222-222-2-2-2000000222-22-222-22-2-2-2-22-222-2-222-2-2000000000000000000002-22-20000000000000000002-22-2000000000000
χ3422-222-2-2-222-222-2-2-2000000222-22-222-22-2-2-2-22-222-2-222-2-200000000000000000000-22-22000000000000000000-22-22000000000000
χ3522-222-2-2-222-222-2-2-20000002-12-2-1122-2-111-21-1-2-1-111-1-1113−33−3000033−3−333−3−300002-22-2000000000000000000-11-113−33−300000000
χ3622-222-2-2-222-222-2-2-20000002-12-2-1122-2-111-21-1-2-1-111-1-1113−33−3000033−3−333−3−30000-22-220000000000000000001-11-1−33−3300000000
χ3722-222-2-2-222-222-2-2-20000002-12-2-1122-2-111-21-1-2-1-111-1-111−33−330000−3−333−3−33300002-22-2000000000000000000-11-11−33−3300000000
χ3822-222-2-2-222-222-2-2-20000002-12-2-1122-2-111-21-1-2-1-111-1-111−33−330000−3−333−3−3330000-22-220000000000000000001-11-13−33−300000000
χ3922-2-2-222-222-2-2-22-22000000222-22-2-2-22-222-2-2-2222-2-2-2-222000000000000000000002i−2i−2i2i0000000000000000002i−2i−2i2i000000000000
χ4022-2-2-222-222-2-2-22-22000000222-22-2-2-22-222-2-2-2222-2-2-2-22200000000000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i000000000000
χ4122-2-2-222-222-2-2-22-220000002-12-2-11-2-221-1-1-2112-1-11111-1-1−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i300002i−2i−2i2i000000000000000000−iii−i−333−300000000
χ4222-2-2-222-222-2-2-22-220000002-12-2-11-2-221-1-1-2112-1-11111-1-1−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i30000−2i2i2i−2i000000000000000000i−i−ii3−3−3300000000
χ4322-2-2-222-222-2-2-22-220000002-12-2-11-2-221-1-1-2112-1-11111-1-1i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i300002i−2i−2i2i000000000000000000−iii−i3−3−3300000000
χ4422-2-2-222-222-2-2-22-220000002-12-2-11-2-221-1-1-2112-1-11111-1-1i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i30000−2i2i2i−2i000000000000000000i−i−ii−333−300000000
χ452-222-22-2-22-222-2-2-2200000022-22-222-2222-2-2-2-2-22-22-22-22-200000000000000002-22-2000000000000002-22-200000000000000000000
χ462-222-22-2-22-222-2-2-2200000022-22-222-2222-2-2-2-2-22-22-22-22-20000000000000000-22-2200000000000000-22-2200000000000000000000
χ472-22-22-22-22-22-222-2-200000022-22-22-22-2-2-22-2-2222-22-2-22-2200000000000000002i−2i−2i2i000000000000002i−2i−2i2i00000000000000000000
χ482-22-22-22-22-22-222-2-200000022-22-22-22-2-2-22-2-2222-22-2-22-220000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i00000000000000000000
χ492-2-22-2-2222-2-22-222-200000022-2-2-2-22-2-22-2222-222-2-222-2-220000000000000000000000002-22-200000000000000000000002-22-20000
χ502-2-22-2-2222-2-22-222-200000022-2-2-2-22-2-22-2222-222-2-222-2-22000000000000000000000000-22-220000000000000000000000-22-220000
χ512-2-22-2-2222-2-22-222-2000000-1211-2-2-1112-22-12-2-1-111-1-111-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000002-22-20000000000000000000000-11-11−i3i3−i3i3
χ522-2-22-2-2222-2-22-222-2000000-1211-2-2-1112-22-12-2-1-111-1-111-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000-22-2200000000000000000000001-11-1i3−i3i3−i3
χ532-2-22-2-2222-2-22-222-2000000-1211-2-2-1112-22-12-2-1-111-1-111-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000002-22-20000000000000000000000-11-11i3−i3i3−i3
χ542-2-22-2-2222-2-22-222-2000000-1211-2-2-1112-22-12-2-1-111-1-111-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000-22-2200000000000000000000001-11-1−i3i3−i3i3
χ552-2-2-222-222-2-2-22-22200000022-2-2-2-2-222-22-2222-22-2-22-222-20000000000000000000000002-2-2200000000000000000000002-2-220000
χ562-2-2-222-222-2-2-22-22200000022-2-2-2-2-222-22-2222-22-2-22-222-2000000000000000000000000-222-20000000000000000000000-222-20000
χ572-2-2-222-222-2-2-22-222000000-1211-2-21-1-1-22-2-1221-111-11-1-1100003−3−333−33−3−33−33000000002-2-220000000000000000000000-111-13−3−33
χ582-2-2-222-222-2-2-22-222000000-1211-2-21-1-1-22-2-1221-111-11-1-1100003−3−333−33−3−33−3300000000-222-200000000000000000000001-1-11−333−3
χ592-2-2-222-222-2-2-22-222000000-1211-2-21-1-1-22-2-1221-111-11-1-110000−333−3−33−333−33−3000000002-2-220000000000000000000000-111-1−333−3
χ602-2-2-222-222-2-2-22-222000000-1211-2-21-1-1-22-2-1221-111-11-1-110000−333−3−33−333−33−300000000-222-200000000000000000000001-1-113−3−33
χ614444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ624444444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ63444-4-4-4-44444-4-4-44-44i−4i4i4i−4i−4i-2-2-2-2-2-2222222-2-2221111-1-1-1-1−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000
χ64444-4-4-4-44444-4-4-44-4−4i4i−4i−4i4i4i-2-2-2-2-2-2222222-2-2221111-1-1-1-12i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000
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χ814-4-44-4-4444-4-44-444-4000000-2-22222-222-22-2-2-22-21-1-111-1-1100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
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χ996-66-66-66-6-33-33-3-333003i3−3i3−3i33i300000000000000000000000000000000000000002i−2i−2i2i00000000000000−iii−i3−3−330000000000000000
χ1006-66-66-66-6-33-33-3-333003i3−3i3−3i33i30000000000000000000000000000000000000000−2i2i2i−2i00000000000000i−i−ii−333−30000000000000000
χ1011212-121212-12-12-12-6-66-6-66660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1021212-12-12-121212-12-6-6666-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-1212-12-121212-666-66-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-12-121212-1212-6666-66-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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