Finite Group Databasebeta

← Group #11790215

Character table — Group #11790215

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order1222222233444466666666666666366666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444441212121212121212121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ91-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-11-1i−ii−i11-1-1ii−i−i11-1-1ii−i−ii−ii−i11-1-1
χ101-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1-11i−i−ii11-1-1ii−i−i-1-111−i−iii−ii−ii-1-111
χ111-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-111-1−iii−i-1-111−i−iii11-1-1ii−i−i−ii−ii-1-111
χ121-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1111-1-1-1-11ii−i−i1111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11-11−ii−ii-1-111−i−iii-1-111−i−iiii−ii−i11-1-1
χ131-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-11-1−ii−ii11-1-1−i−iii11-1-1−i−iii−ii−ii11-1-1
χ141-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1-11−iii−i11-1-1−i−iii-1-111ii−i−ii−ii−i-1-111
χ151-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-111-1i−i−ii-1-111ii−i−i11-1-1−i−iiii−ii−i-1-111
χ161-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1111-1-1-1-11−i−iii1111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11-11i−ii−i-1-111ii−i−i-1-111ii−i−i−ii−ii11-1-1
χ172222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000022-2-20000
χ182222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-2-2220000
χ19222222222-122222-1222-1-1-12-12-12-1-1-1-1-1-1-1-1-1222222-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-100000000
χ20222222222-122222-1222-1-1-12-12-12-1-1-1-1-1-1-1-1-1222222-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000001111111100000000
χ21222222222-122222-1222-1-1-12-12-12-1-1-1-1-1-1-1-1-1-2-2-2-222-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111002200-2-200000000-1-1-1-1111100000000
χ22222222222-122222-1222-1-1-12-12-12-1-1-1-1-1-1-1-1-1-2-2-2-222-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100-2-20022000000001111-1-1-1-100000000
χ2322222222-122222-12-1-1-1222-12-12-12-1-1-1-1-1-1-1-12222-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000000000000000
χ2422222222-122222-12-1-1-1222-12-12-12-1-1-1-1-1-1-1-12222-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-200111111110000000000000000
χ2522222222-122222-12-1-1-1222-12-12-12-1-1-1-1-1-1-1-1-2-2-2-2-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111112200-2-200-1-1-1-111110000000000000000
χ2622222222-122222-12-1-1-1222-12-12-12-1-1-1-1-1-1-1-1-2-2-2-2-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-20022001111-1-1-1-10000000000000000
χ272222-2-2-2-2222-22-2-2-222-222-222-2-2-2-22-2-222-2-222-22-22-22-2-2-222-2-2-2-2222222-2-222-2-22222-2-2-2-222-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ282222-2-2-2-2222-22-2-2-222-222-222-2-2-2-22-2-222-2-22-22-222-22-2-2-222-2-2-2-22222-2-222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ292222-2-2-2-222-22-22-2-222-222-222-2-2-2-22-2-222-2-220000-22-2222-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000000000002-22-2
χ302222-2-2-2-222-22-22-2-222-222-222-2-2-2-22-2-222-2-220000-22-2222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000000000-22-22
χ312222-2-2-2-22-12-22-2-2122-2-1-112-1-21-21-111-1-111-12-22-22-2-11-21-1-111112-1-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-1111100000000000000003−33−33−33−300000000
χ322222-2-2-2-22-12-22-2-2122-2-1-112-1-21-21-111-1-111-12-22-22-2-11-21-1-111112-1-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-111110000000000000000−33−33−33−3300000000
χ332222-2-2-2-22-12-22-2-2122-2-1-112-1-21-21-111-1-111-1-22-222-2-11-21-1-111112-1-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-100000000000000003−33−3−33−3300000000
χ342222-2-2-2-22-12-22-2-2122-2-1-112-1-21-21-111-1-111-1-22-222-2-11-21-1-111112-1-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-10000000000000000−33−333−33−300000000
χ352222-2-2-2-2-122-22-21-2-1-1122-2-121-21-2-111-1-111-12-22-2-112-21-2-1-11111-12-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-11111000000003−33−33−33−30000000000000000
χ362222-2-2-2-2-122-22-21-2-1-1122-2-121-21-2-111-1-111-12-22-2-112-21-2-1-11111-12-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-1111100000000−33−33−33−330000000000000000
χ372222-2-2-2-2-122-22-21-2-1-1122-2-121-21-2-111-1-111-1-22-22-112-21-2-1-11111-12-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-1000000003−33−3−33−330000000000000000
χ382222-2-2-2-2-122-22-21-2-1-1122-2-121-21-2-111-1-111-1-22-22-112-21-2-1-11111-12-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-100000000−33−333−33−30000000000000000
χ392-2-2222-2-222-222-222-2-2-2-2-2-22222-2-2222-2-2-2-220000-2-2-2-222-2-2-2-2222222000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ402-2-2222-2-222-222-222-2-2-2-2-2-22222-2-2222-2-2-2-220000-2-2-2-222-2-2-2-222222200000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ412-2-2222-2-22-12-2-222-1-2-2-21112-12-1-21-1-1-11111-12i2i−2i−2i22-1-1-21-1-1-1-111-21112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii002-2002i−2i00000000-1-111−i−iii00000000
χ422-2-2222-2-22-12-2-222-1-2-2-21112-12-1-21-1-1-11111-12i2i−2i−2i22-1-1-21-1-1-1-111-21112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii00-2200−2i2i0000000011-1-1ii−i−i00000000
χ432-2-2222-2-22-12-2-222-1-2-2-21112-12-1-21-1-1-11111-1−2i−2i2i2i22-1-1-21-1-1-1-111-2111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i002-200−2i2i00000000-1-111ii−i−i00000000
χ442-2-2222-2-22-12-2-222-1-2-2-21112-12-1-21-1-1-11111-1−2i−2i2i2i22-1-1-21-1-1-1-111-2111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i00-22002i−2i0000000011-1-1−i−iii00000000
χ452-2-2222-2-2-122-2-22-12111-2-2-2-12-121-2-1-1-11111-12i2i−2i−2i-1-1221-2-1-1-1-1111-211−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii2-2002i−2i00-1-111−i−iii0000000000000000
χ462-2-2222-2-2-122-2-22-12111-2-2-2-12-121-2-1-1-11111-12i2i−2i−2i-1-1221-2-1-1-1-1111-211−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii-2200−2i2i0011-1-1ii−i−i0000000000000000
χ472-2-2222-2-2-122-2-22-12111-2-2-2-12-121-2-1-1-11111-1−2i−2i2i2i-1-1221-2-1-1-1-1111-211iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i2-200−2i2i00-1-111ii−i−i0000000000000000
χ482-2-2222-2-2-122-2-22-12111-2-2-2-12-121-2-1-1-11111-1−2i−2i2i2i-1-1221-2-1-1-1-1111-211iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i-22002i−2i0011-1-1−i−iii0000000000000000
χ492-2-22-2-2222222-2-2-2-2-2-22-2-2222-2-2222-2-2-2-22222i−2i−2i2i2-22-22222-2-222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ502-2-22-2-2222222-2-2-2-2-2-22-2-2222-2-2222-2-2-2-2222−2i2i2i−2i2-22-22222-2-222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ512-2-22-2-22222-2-222-2-2-2-22-2-2222-2-2222-2-2-2-22220000-22-22-2-2-2-222-2-222220000000000000000000000000000000000000000000000000000000000002-2-22
χ522-2-22-2-22222-2-222-2-2-2-22-2-2222-2-2222-2-2-2-22220000-22-22-2-2-2-222-2-22222000000000000000000000000000000000000000000000000000000000000-222-2
χ532-2-22-2-2222-122-2-2-21-2-2211-12-1-212-1-11111-1-1-12i−2i−2i2i2-2-112-1-1-111-1-1-21112i2i−2i−2i−i−iii−i−i−i−iiiii−2i−2i2i2iii−i−iiiii−i−i−i−i00000000000000003−3−33i3−i3−i3i300000000
χ542-2-22-2-2222-122-2-2-21-2-2211-12-1-212-1-11111-1-1-12i−2i−2i2i2-2-112-1-1-111-1-1-21112i2i−2i−2i−i−iii−i−i−i−iiiii−2i−2i2i2iii−i−iiiii−i−i−i−i0000000000000000−333−3−i3i3i3−i300000000
χ552-2-22-2-2222-122-2-2-21-2-2211-12-1-212-1-11111-1-1-1−2i2i2i−2i2-2-112-1-1-111-1-1-2111−2i−2i2i2iii−i−iiiii−i−i−i−i2i2i−2i−2i−i−iii−i−i−i−iiiii00000000000000003−3−33−i3i3i3−i300000000
χ562-2-22-2-2222-122-2-2-21-2-2211-12-1-212-1-11111-1-1-1−2i2i2i−2i2-2-112-1-1-111-1-1-2111−2i−2i2i2iii−i−iiiii−i−i−i−i2i2i−2i−2i−i−iii−i−i−i−iiiii0000000000000000−333−3i3−i3−i3i300000000
χ572-2-22-2-222-1222-2-21-211-1-2-22-121-2-12-11111-1-1-12i−2i−2i2i-112-2-12-1-111-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiiiii−i−i−2i−2i2i2iiiii−i−i−i−i000000003−3−33i3−i3−i3i30000000000000000
χ582-2-22-2-222-1222-2-21-211-1-2-22-121-2-12-11111-1-1-12i−2i−2i2i-112-2-12-1-111-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiiiii−i−i−2i−2i2i2iiiii−i−i−i−i00000000−333−3−i3i3i3−i30000000000000000
χ592-2-22-2-222-1222-2-21-211-1-2-22-121-2-12-11111-1-1-1−2i2i2i−2i-112-2-12-1-111-1-11-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−iii2i2i−2i−2i−i−i−i−iiiii000000003−3−33−i3i3i3−i30000000000000000
χ602-2-22-2-222-1222-2-21-211-1-2-22-121-2-12-11111-1-1-1−2i2i2i−2i-112-2-12-1-111-1-11-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−iii2i2i−2i−2i−i−i−i−iiiii00000000−333−3i3−i3−i3i30000000000000000
χ61444444444-2-4-4-4-44-2444-2-2-24-24-24-2-2-2-2-2-2-2-2-20000-4-422-42222222-42220000000000000000000000000000000000000000000000000000000000000000
χ6244444444-24-4-4-4-4-24-2-2-2444-24-24-24-2-2-2-2-2-2-2-2000022-4-42-42222222-4220000000000000000000000000000000000000000000000000000000000000000
χ6344444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111114444-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ6444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-4-4-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6544444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000000000
χ6644444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000000000
χ674444-4-4-4-44-2-44-44-4244-4-2-224-2-42-42-222-2-222-20000-442-24-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000
χ684444-4-4-4-4-24-44-442-4-2-2244-4-242-42-4-222-2-222-200002-2-44-2422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.