Finite Group Databasebeta

← Group #13140163

Character table — Group #13140163

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order122222223666666644121212123366666666666666366666661212121212121212121212121212121244444444444422444466661212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ71111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ911-1-111-1-1111-1-1-11-1i−iii−i−i1111-1-1111-1-1-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i11-1-1ii−i−i1-11-1i−i11-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i
χ1011-1-111-1-1111-1-1-11-1i−iii−i−i1111-1-1111-1-1-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i-1-111−i−iii-111-1−ii-1-111-1-111−i−iiiii−i−i11-1-1−i−iii
χ1111-1-111-1-1111-1-1-11-1i−iii−i−i1111-1-1111-1-1-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii11-1-1−i−iii-11-11i−i-1-11111-1-1ii−i−i−i−iii-1-111−i−iii
χ1211-1-111-1-1111-1-1-11-1i−iii−i−i1111-1-1111-1-1-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-1-111ii−i−i1-1-11−ii11-1-1-1-111−i−iii−i−iii-1-111ii−i−i
χ1311-1-111-1-1111-1-1-11-1−ii−i−iii1111-1-1111-1-1-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i11-1-1ii−i−i-11-11−ii-1-11111-1-1−i−iiiii−i−i-1-111ii−i−i
χ1411-1-111-1-1111-1-1-11-1−ii−i−iii1111-1-1111-1-1-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-111−i−iii1-1-11i−i11-1-1-1-111ii−i−iii−i−i-1-111−i−iii
χ1511-1-111-1-1111-1-1-11-1−ii−i−iii1111-1-1111-1-1-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii11-1-1−i−iii1-11-1−ii11-1-111-1-1−i−iii−i−iii11-1-1−i−iii
χ1611-1-111-1-1111-1-1-11-1−ii−i−iii1111-1-1111-1-1-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii-1-111ii−i−i-111-1i−i-1-111-1-111ii−i−i−i−iii11-1-1ii−i−i
χ1722222222222222222222222-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000002222220000-1-1-1-10000000000000000-1-1-1-1
χ1822222222222222222222222-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-20000111100000000000000001111
χ192222222222222222222222-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1222200000000002200000000000000-1-1-1-1-1-1-1-10000
χ202222222222222222222222-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-200000000000000111111110000
χ212222222222222222-2-2-2-2-2-22-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-211-2-21111111111000000002222-2-2000011110000000000000000-1-1-1-1
χ222222222222222222-2-2-2-2-2-22-12222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-211-2-2111111111100000000-2-2-2-2220000-1-1-1-100000000000000001111
χ232222222222222222-2-2-2-2-2-2-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-111-2-211-2-21111111122220000000000-2-200000000000000-1-1-1-111110000
χ242222222222222222-2-2-2-2-2-2-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-111-2-211-2-211111111-2-2-2-2000000000022000000000000001111-1-1-1-10000
χ25222-2-2-2-2222-22-2-2-22000000222-2222-2-22-2-2-2-2-2222-2-222-2-2000000000000000000002i−2i2i−2i000000000000002i−2i2i−2i0000000000000000
χ26222-2-2-2-2222-22-2-2-22000000222-2222-2-22-2-2-2-2-2222-2-222-2-200000000000000000000−2i2i−2i2i00000000000000−2i2i−2i2i0000000000000000
χ2722-22-2-22-222-2-222-2-2000000222-2-2-22-2-2-2222-22-222-2-2-2-222000000000000000000002i−2i−2i2i000000000000002i−2i−2i2i0000000000000000
χ2822-22-2-22-222-2-222-2-2000000222-2-2-22-2-2-2222-22-222-2-2-2-22200000000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i0000000000000000
χ2922-2-222-2-2222-2-2-22-22i−2i2i2i−2i−2i2-122-2-2-1-1-111-212-21-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii000000002i2i−2i−2i2-20000-1-1110000000000000000−i−iii
χ3022-2-222-2-2222-2-2-22-22i−2i2i2i−2i−2i2-122-2-2-1-1-111-212-21-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii00000000−2i−2i2i2i-22000011-1-10000000000000000ii−i−i
χ3122-2-222-2-2222-2-2-22-22i−2i2i2i−2i−2i-12-1-111222-2-21-2-11-2-1-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii2i2i−2i−2i00000000002-200000000000000−i−iii-1-1110000
χ3222-2-222-2-2222-2-2-22-22i−2i2i2i−2i−2i-12-1-111222-2-21-2-11-2-1-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii−2i−2i2i2i0000000000-2200000000000000ii−i−i11-1-10000
χ3322-2-222-2-2222-2-2-22-2−2i2i−2i−2i2i2i2-122-2-2-1-1-111-212-21-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i000000002i2i−2i−2i-22000011-1-10000000000000000−i−iii
χ3422-2-222-2-2222-2-2-22-2−2i2i−2i−2i2i2i2-122-2-2-1-1-111-212-21-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i00000000−2i−2i2i2i2-20000-1-1110000000000000000ii−i−i
χ3522-2-222-2-2222-2-2-22-2−2i2i−2i−2i2i2i-12-1-111222-2-21-2-11-2-1-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i2i2i−2i−2i0000000000-2200000000000000−i−iii11-1-10000
χ3622-2-222-2-2222-2-2-22-2−2i2i−2i−2i2i2i-12-1-111222-2-21-2-11-2-1-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i−2i−2i2i2i00000000002-200000000000000ii−i−i-1-1110000
χ372-2222-2-2-22-2-22-222-200000022-222-2-22-22-222-2-2-22-22-22-2-2200000000000000002i−2i2i−2i000000000000000000000000002i−2i2i−2i00000000
χ382-2222-2-2-22-2-22-222-200000022-222-2-22-22-222-2-2-22-22-22-2-220000000000000000−2i2i−2i2i00000000000000000000000000−2i2i−2i2i00000000
χ392-2222-2-2-22-2-22-222-2000000-121-1-11-22-22-2-1211-2-11-11-111-1−i3i300−i3i300−i3−i3i3i3−i3−i3i3i32i−2i2i−2i00000000000000000000000000−ii−ii3−33−30000
χ402-2222-2-2-22-2-22-222-2000000-121-1-11-22-22-2-1211-2-11-11-111-1−i3i300−i3i300−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i00000000000000000000000000i−ii−i−33−330000
χ412-2222-2-2-22-2-22-222-2000000-121-1-11-22-22-2-1211-2-11-11-111-1i3−i300i3−i300i3i3−i3−i3i3i3−i3−i32i−2i2i−2i00000000000000000000000000−ii−ii−33−330000
χ422-2222-2-2-22-2-22-222-2000000-121-1-11-22-22-2-1211-2-11-11-111-1i3−i300i3−i300i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i00000000000000000000000000i−ii−i3−33−30000
χ432-22-2-222-22-2222-2-2-200000022-2-22-2-2-2222-2-222-22-2-222-22-20000000000000000000000002i−2i2i−2i000000000000000000000000002i−2i2i−2i
χ442-22-2-222-22-2222-2-2-200000022-2-22-2-2-2222-2-222-22-2-222-22-2000000000000000000000000−2i2i−2i2i00000000000000000000000000−2i2i−2i2i
χ452-22-2-222-22-2222-2-2-20000002-1-2-22-211-1-1-1-21221-111-1-11-11003−3003−33−33−33−33−3000000002i−2i2i−2i000000−i3i3−i3i30000000000000000−ii−ii
χ462-22-2-222-22-2222-2-2-20000002-1-2-22-211-1-1-1-21221-111-1-11-11003−3003−33−33−33−33−300000000−2i2i−2i2i000000i3−i3i3−i30000000000000000i−ii−i
χ472-22-2-222-22-2222-2-2-20000002-1-2-22-211-1-1-1-21221-111-1-11-1100−3300−33−33−33−33−33000000002i−2i2i−2i000000i3−i3i3−i30000000000000000−ii−ii
χ482-22-2-222-22-2222-2-2-20000002-1-2-22-211-1-1-1-21221-111-1-11-1100−3300−33−33−33−33−3300000000−2i2i−2i2i000000−i3i3−i3i30000000000000000i−ii−i
χ492-2-22-22-222-22-2-22-2200000022-2-2-22-2-22-2-2222-222-2-22-22-220000000000000000000000002-2-22000000000000000000000000002-2-22
χ502-2-22-22-222-22-2-22-2200000022-2-2-22-2-22-2-2222-222-2-22-22-22000000000000000000000000-222-200000000000000000000000000-222-2
χ512-2-22-22-222-22-2-22-220000002-1-2-2-2211-1112-12-2-1-111-11-11-100−i3i300i3−i3−i3i3−i3i3i3−i3i3−i3000000002-2-22000000−i3i3i3−i30000000000000000-111-1
χ522-2-22-22-222-22-2-22-220000002-1-2-2-2211-1112-12-2-1-111-11-11-100−i3i300i3−i3−i3i3−i3i3i3−i3i3−i300000000-222-2000000i3−i3−i3i300000000000000001-1-11
χ532-2-22-22-222-22-2-22-220000002-1-2-2-2211-1112-12-2-1-111-11-11-100i3−i300−i3i3i3−i3i3−i3−i3i3−i3i3000000002-2-22000000i3−i3−i3i30000000000000000-111-1
χ542-2-22-22-222-22-2-22-220000002-1-2-2-2211-1112-12-2-1-111-11-11-100i3−i300−i3i3i3−i3i3−i3−i3i3−i3i300000000-222-2000000−i3i3i3−i300000000000000001-1-11
χ552-2-2-22-2222-2-2-22-22200000022-22-22-22-2-22-2-2-2222-22-2-222-200000000000000002-2-22000000000000000000000000002-2-2200000000
χ562-2-2-22-2222-2-2-22-22200000022-22-22-22-2-22-2-2-2222-22-2-222-20000000000000000-222-200000000000000000000000000-222-200000000
χ572-2-2-22-2222-2-2-22-222000000-121-11-1-22-2-221-21-12-11-111-1-113−300−330033−3−3−3−3332-2-2200000000000000000000000000-111-1−333−30000
χ582-2-2-22-2222-2-2-22-222000000-121-11-1-22-2-221-21-12-11-111-1-113−300−330033−3−3−3−333-222-2000000000000000000000000001-1-113−3−330000
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χ9766-6-666-6-6-3-3-3333-336i−6i−3i−3i3i3i0000000000000000000000000000000000000000000022-2-2000000002i−2i0000-1-111−i−iii000000000000
χ9866-6-666-6-6-3-3-3333-336i−6i−3i−3i3i3i00000000000000000000000000000000000000000000-2-22200000000−2i2i000011-1-1ii−i−i000000000000
χ9966-6-666-6-6-3-3-3333-33−6i6i3i3i−3i−3i0000000000000000000000000000000000000000000022-2-200000000−2i2i0000-1-111ii−i−i000000000000
χ10066-6-666-6-6-3-3-3333-33−6i6i3i3i−3i−3i00000000000000000000000000000000000000000000-2-222000000002i−2i000011-1-1−i−iii000000000000
χ10112-12121212-12-12-12-666-66-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-1212-12-121212-12-66-6-6-66660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-1212-1212-1212-66-666-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-12-1212-121212-6666-66-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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