Finite Group Databasebeta

← Group #13140074

Character table — Group #13140074

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order1222222236666666441212121233666666666666663666666612121212121212121212121212121212444444444444444444121212121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ911-11-1-11-1111-1-11-1-11-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-1111-1-111-1-11111-1-1-1-1ii−i−i11-1-1ii−i−ii−i1-1i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ1011-11-1-11-1111-1-11-1-11-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-1111-1-111-1-11111-1-1-1-1ii−i−i-1-111−i−iiii−i-11−iiii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ1111-11-1-11-1111-1-11-1-11-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-1111-1-111-1-11111-1-1-1-1−i−iii11-1-1−i−iii−ii1-1−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ1211-11-1-11-1111-1-11-1-11-111-1-111111-1-1-1-1-1-1-1111-1111-1-1-1-1111-1-111-1-11111-1-1-1-1−i−iii-1-111ii−i−i−ii-11i−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ1311-11-1-11-1111-1-11-1-1-11-1-11111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-111-1-111-1-1-1-11111ii−i−i11-1-1ii−i−i−ii-11−iiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ1411-11-1-11-1111-1-11-1-1-11-1-11111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-111-1-111-1-1-1-11111ii−i−i-1-111−i−iii−ii1-1i−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i
χ1511-11-1-11-1111-1-11-1-1-11-1-11111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-111-1-111-1-1-1-11111−i−iii11-1-1−i−iiii−i-11i−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i
χ1611-11-1-11-1111-1-11-1-1-11-1-11111111-1-1-1-1-1-1-1111-1111-1-1-1-11-1-111-1-111-1-1-1-11111−i−iii-1-111ii−i−ii−i1-1−ii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii
χ1722222222222222222222222-122-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222000000220000000000-1-1-1-1-1-1-1-100000000
χ1822222222222222222222222-122-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200000000001111111100000000
χ192222222222222222222222-12-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000022220000220000000000000000-1-1-1-1-1-1-1-1
χ202222222222222222222222-12-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2000000000000000011111111
χ212222222222222222-2-2-2-2-2-22-122-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-2-2-211111111111100002222000000-2-200000000001111-1-1-1-100000000
χ222222222222222222-2-2-2-2-2-22-122-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-2-2-2000000220000000000-1-1-1-1111100000000
χ232222222222222222-2-2-2-2-2-2-12-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000022220000-2-20000000000000000-1-1-1-11111
χ242222222222222222-2-2-2-2-2-2-12-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000-2-2-2-200002200000000000000001111-1-1-1-1
χ25222-22-2-2-222-22-2-22-2000000222-2222-222-2-2-2-2-2-222-222-2-2-200000000000000002-22-2000000000000002-22-200000000000000000000
χ26222-22-2-2-222-22-2-22-2000000222-2222-222-2-2-2-2-2-222-222-2-2-20000000000000000-22-2200000000000000-22-2200000000000000000000
χ2722-22-2-22-2222-2-22-2-22-222-2-22-122-1-2-2-211112-1-1-2-1-1-11111-122-2-2-1-111-1-1-1-11111000022-2-20000002-20000000000-1-111-1-11100000000
χ2822-22-2-22-2222-2-22-2-22-222-2-22-122-1-2-2-211112-1-1-2-1-1-11111-122-2-2-1-111-1-1-1-111110000-2-222000000-22000000000011-1-111-1-100000000
χ2922-22-2-22-2222-2-22-2-22-222-2-2-12-1-12111-2-2-2-2-1221-1-1-11111-1-1-11122-2-2-1-1-1-11111000000002i2i−2i−2i00002i−2i0000000000000000−i−iii−i−iii
χ3022-22-2-22-2222-2-22-2-22-222-2-2-12-1-12111-2-2-2-2-1221-1-1-11111-1-1-11122-2-2-1-1-1-1111100000000−2i−2i2i2i0000−2i2i0000000000000000ii−i−iii−i−i
χ3122-22-2-22-2222-2-22-2-2-22-2-2222-122-1-2-2-211112-1-1-2-1-1-11111-1-2-22211-1-11111-1-1-1-1000022-2-2000000-22000000000011-1-1-1-11100000000
χ3222-22-2-22-2222-2-22-2-2-22-2-2222-122-1-2-2-211112-1-1-2-1-1-11111-1-2-22211-1-11111-1-1-1-10000-2-2220000002-20000000000-1-11111-1-100000000
χ3322-22-2-22-2222-2-22-2-2-22-2-222-12-1-12111-2-2-2-2-1221-1-1-11111-111-1-1-2-2221111-1-1-1-1000000002i2i−2i−2i0000−2i2i0000000000000000−i−iiiii−i−i
χ3422-22-2-22-2222-2-22-2-2-22-2-222-12-1-12111-2-2-2-2-1221-1-1-11111-111-1-1-2-2221111-1-1-1-100000000−2i−2i2i2i00002i−2i0000000000000000ii−i−i−i−iii
χ3522-2-2-22-2222-2-22-2-22000000222-22-2-22-2-222-2-2-2222-2-2-222-200000000000000002i−2i−2i2i000000000000002i−2i−2i2i00000000000000000000
χ3622-2-2-22-2222-2-22-2-22000000222-22-2-22-2-222-2-2-2222-2-2-222-20000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i00000000000000000000
χ372-222-2-2-222-2222-2-2-200000022-22-22-2-22-22-2-22-222-222-22-2-2000000000000000000002i−2i2i−2i00000000000000000000002i−2i2i−2i00000000
χ382-222-2-2-222-2222-2-2-200000022-22-22-2-22-22-2-22-222-222-22-2-200000000000000000000−2i2i−2i2i0000000000000000000000−2i2i−2i2i00000000
χ392-222-2-2-222-2222-2-2-20000002-1-2212-2-2-11-11-2-112-11-1-11-11100003−33−333−3−333−3−300002i−2i2i−2i000000000000000000−i3i3−i3i3−ii−ii00000000
χ402-222-2-2-222-2222-2-2-20000002-1-2212-2-2-11-11-2-112-11-1-11-11100003−33−333−3−333−3−30000−2i2i−2i2i000000000000000000i3−i3i3−i3i−ii−i00000000
χ412-222-2-2-222-2222-2-2-20000002-1-2212-2-2-11-11-2-112-11-1-11-1110000−33−33−3−333−3−33300002i−2i2i−2i000000000000000000i3−i3i3−i3−ii−ii00000000
χ422-222-2-2-222-2222-2-2-20000002-1-2212-2-2-11-11-2-112-11-1-11-1110000−33−33−3−333−3−3330000−2i2i−2i2i000000000000000000−i3i3−i3i3i−ii−i00000000
χ432-22-2-222-22-2-22-22-2200000022-2-2-22-222-2-222-22-22-2-22-2-2220000000000000000000000002i−2i2i−2i00000000000000000000002i−2i2i−2i0000
χ442-22-2-222-22-2-22-22-2200000022-2-2-22-222-2-222-22-22-2-22-2-222000000000000000000000000−2i2i−2i2i0000000000000000000000−2i2i−2i2i0000
χ452-22-2-222-22-2-22-22-22000000-1211-2-11-12-2-22-1-221-111-111-1-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3000000002i−2i2i−2i0000000000000000000000−ii−ii3−33−3
χ462-22-2-222-22-2-22-22-22000000-1211-2-11-12-2-22-1-221-111-111-1-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i300000000−2i2i−2i2i0000000000000000000000i−ii−i−33−33
χ472-22-2-222-22-2-22-22-22000000-1211-2-11-12-2-22-1-221-111-111-1-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3000000002i−2i2i−2i0000000000000000000000−ii−ii−33−33
χ482-22-2-222-22-2-22-22-22000000-1211-2-11-12-2-22-1-221-111-111-1-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i300000000−2i2i−2i2i0000000000000000000000i−ii−i3−33−3
χ492-2-2222-2-22-22-2-2-22200000022-22-2-222-22-22-22-2-22-22-22-22-2000000000000000000002i−2i−2i2i00000000000000000000002i−2i−2i2i00000000
χ502-2-2222-2-22-22-2-2-22200000022-22-2-222-22-22-22-2-22-22-22-22-200000000000000000000−2i2i2i−2i0000000000000000000000−2i2i2i−2i00000000
χ512-2-2222-2-22-22-2-2-2220000002-1-221-2221-11-1-2-11-2-11-11-11-1100003−3−3333−3−3−3−33300002i−2i−2i2i000000000000000000−i3i3i3−i3−iii−i00000000
χ522-2-2222-2-22-22-2-2-2220000002-1-221-2221-11-1-2-11-2-11-11-11-1100003−3−3333−3−3−3−3330000−2i2i2i−2i000000000000000000i3−i3−i3i3i−i−ii00000000
χ532-2-2222-2-22-22-2-2-2220000002-1-221-2221-11-1-2-11-2-11-11-11-110000−333−3−3−33333−3−300002i−2i−2i2i000000000000000000i3−i3−i3i3−iii−i00000000
χ542-2-2222-2-22-22-2-2-2220000002-1-221-2221-11-1-2-11-2-11-11-11-110000−333−3−3−33333−3−30000−2i2i2i−2i000000000000000000−i3i3i3−i3i−i−ii00000000
χ552-2-2-22-2222-2-2-2222-200000022-2-2-2-22-2-222-22-2222-2-2-222-220000000000000000000000002-2-2200000000000000000000002-2-220000
χ562-2-2-22-2222-2-2-2222-200000022-2-2-2-22-2-222-22-2222-2-2-222-22000000000000000000000000-222-20000000000000000000000-222-20000
χ572-2-2-22-2222-2-2-2222-2000000-1211-21-11-222-2-1-22-1-1111-1-11-1−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3000000002-2-220000000000000000000000-111-1−i3i3i3−i3
χ582-2-2-22-2222-2-2-2222-2000000-1211-21-11-222-2-1-22-1-1111-1-11-1−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i300000000-222-200000000000000000000001-1-11i3−i3−i3i3
χ592-2-2-22-2222-2-2-2222-2000000-1211-21-11-222-2-1-22-1-1111-1-11-1i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3000000002-2-220000000000000000000000-111-1i3−i3−i3i3
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χ10112-121212-12-12-1212-66-6-6-66660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-1212-12-121212-12-666-66-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-12121212-12-12-66-6666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-12-1212-121212-6666-6-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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