Finite Group Databasebeta

← Group #11786077

Character table — Group #11786077

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
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91-11-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ101-11-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−iii−i−iiii−i−iii−i−i−i−iii−i−iii-1-111-1-111
χ111-11-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iii−i−iii−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-111
χ121-11-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ131-11-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−ii−i−ii−iiii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111
χ141-11-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1
χ151-11-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1
χ161-11-1-111-111-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−ii−iii−ii−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111
χ172222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002-22-20000
χ182222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-22-220000
χ19222222222-1222222-1-122-1-12-122-1-1-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-100000000
χ20222222222-1222222-1-122-1-12-122-1-1-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000001111111100000000
χ21222222222-1222222-1-122-1-12-122-1-1-1-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111002200-2-200000000-1-1-1-1111100000000
χ22222222222-1222222-1-122-1-12-122-1-1-1-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100-2-20022000000001111-1-1-1-100000000
χ2322222222-122222-1-122-1-122-12-1-122-1-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000000000000000
χ2422222222-122222-1-122-1-122-12-1-122-1-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-200111111110000000000000000
χ2522222222-122222-1-122-1-122-12-1-122-1-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111112200-2-200-1-1-1-111110000000000000000
χ2622222222-122222-1-122-1-122-12-1-122-1-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-20022001111-1-1-1-10000000000000000
χ27222-2-2-2-22222-22-2-2-2-2-22-22-2222-22-22-2-222-2-220000-2-22-22-2-2-222-2-222220000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ28222-2-2-2-22222-22-2-2-2-2-22-22-2222-22-22-2-222-2-220000-2-22-22-2-2-222-2-22222000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ29222-2-2-2-2222-22-22-2-2-2-22-22-2222-22-22-2-222-2-222i−2i2i−2i22-22-2222-2-222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ30222-2-2-2-2222-22-22-2-2-2-22-22-2222-22-22-2-222-2-22−2i2i−2i2i22-22-2222-2-222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ31222-2-2-2-222-1-22-22-2-2112-2-112-12-2-11-111-1-111-12i−2i2i−2i2-1-221-1-1-111-1-1-21112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i−i−iii−i−i−i−iiiii00000000000000003−33−3−i3i3−i3i300000000
χ32222-2-2-2-222-1-22-22-2-2112-2-112-12-2-11-111-1-111-12i−2i2i−2i2-1-221-1-1-111-1-1-21112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i−i−iii−i−i−i−iiiii0000000000000000−33−33i3−i3i3−i300000000
χ33222-2-2-2-222-1-22-22-2-2112-2-112-12-2-11-111-1-111-1−2i2i−2i2i2-1-221-1-1-111-1-1-2111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2iii−i−iiiii−i−i−i−i00000000000000003−33−3i3−i3i3−i300000000
χ34222-2-2-2-222-1-22-22-2-2112-2-112-12-2-11-111-1-111-1−2i2i−2i2i2-1-221-1-1-111-1-1-2111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2iii−i−iiiii−i−i−i−i0000000000000000−33−33−i3i3−i3i300000000
χ35222-2-2-2-22-12-22-2211-2-2-112-2-12-112-2-111-1-111-12i−2i2i−2i-121-1-22-1-111-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiii−i−iii2i2i−2i−2i−i−i−i−iiiii000000003−33−3−i3i3−i3i30000000000000000
χ36222-2-2-2-22-12-22-2211-2-2-112-2-12-112-2-111-1-111-12i−2i2i−2i-121-1-22-1-111-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiii−i−iii2i2i−2i−2i−i−i−i−iiiii00000000−33−33i3−i3i3−i30000000000000000
χ37222-2-2-2-22-12-22-2211-2-2-112-2-12-112-2-111-1-111-1−2i2i−2i2i-121-1-22-1-111-1-11-211ii−i−i−2i−2i2i2iiiii−i−i−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i000000003−33−3i3−i3i3−i30000000000000000
χ38222-2-2-2-22-12-22-2211-2-2-112-2-12-112-2-111-1-111-1−2i2i−2i2i-121-1-22-1-111-1-11-211ii−i−i−2i−2i2i2iiiii−i−i−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i00000000−33−33−i3i3−i3i30000000000000000
χ392-2222-2-2-2222-2-22-2-2-2-2-22-2222-22-222-2-2-2-22222i−2i−2i2i222-22-22222-2-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ402-2222-2-2-2222-2-22-2-2-2-2-22-2222-22-222-2-2-2-2222−2i2i2i−2i222-22-22222-2-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ412-2222-2-2-222-222-2-2-2-2-2-22-2222-22-222-2-2-2-22220000-2-2-22-22-2-2-2-22222220000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ422-2222-2-2-222-222-2-2-2-2-2-22-2222-22-222-2-2-2-22220000-2-2-22-22-2-2-2-2222222000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ432-2222-2-2-22-12-2-22-2-211-221-12-1-221-1-11111-1-1-12i−2i−2i2i2-12-2-11-1-1-1-111-21112i2i−2i−2i−i−iii−i−i−i−iiiii−2i−2i2i2iii−i−iiiii−i−i−i−i0000000000000000−i3i3i3−i3−333−300000000
χ442-2222-2-2-22-12-2-22-2-211-221-12-1-221-1-11111-1-1-12i−2i−2i2i2-12-2-11-1-1-1-111-21112i2i−2i−2i−i−iii−i−i−i−iiiii−2i−2i2i2iii−i−iiiii−i−i−i−i0000000000000000i3−i3−i3i33−3−3300000000
χ452-2222-2-2-22-12-2-22-2-211-221-12-1-221-1-11111-1-1-1−2i2i2i−2i2-12-2-11-1-1-1-111-2111−2i−2i2i2iii−i−iiiii−i−i−i−i2i2i−2i−2i−i−iii−i−i−i−iiiii0000000000000000−i3i3i3−i33−3−3300000000
χ462-2222-2-2-22-12-2-22-2-211-221-12-1-221-1-11111-1-1-1−2i2i2i−2i2-12-2-11-1-1-1-111-2111−2i−2i2i2iii−i−iiiii−i−i−i−i2i2i−2i−2i−i−iii−i−i−i−iiiii0000000000000000i3−i3−i3i3−333−300000000
χ472-2222-2-2-2-122-2-2211-2-21-1-22-121-1-22-11111-1-1-12i−2i−2i2i-12-112-2-1-1-1-1111-211−i−iii2i2i−2i−2i−i−i−i−iiiiiii−i−i−2i−2i2i2iiiii−i−i−i−i00000000−i3i3i3−i3−333−30000000000000000
χ482-2222-2-2-2-122-2-2211-2-21-1-22-121-1-22-11111-1-1-12i−2i−2i2i-12-112-2-1-1-1-1111-211−i−iii2i2i−2i−2i−i−i−i−iiiiiii−i−i−2i−2i2i2iiiii−i−i−i−i00000000i3−i3−i3i33−3−330000000000000000
χ492-2222-2-2-2-122-2-2211-2-21-1-22-121-1-22-11111-1-1-1−2i2i2i−2i-12-112-2-1-1-1-1111-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−iii2i2i−2i−2i−i−i−i−iiiii00000000−i3i3i3−i33−3−330000000000000000
χ502-2222-2-2-2-122-2-2211-2-21-1-22-121-1-22-11111-1-1-1−2i2i2i−2i-12-112-2-1-1-1-1111-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−iii2i2i−2i−2i−i−i−i−iiiii00000000i3−i3−i3i3−333−30000000000000000
χ512-22-2-222-22222-2-22222-2-2-2-222-2-2-2-2222-2-2-2-220000-2-22222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000002-2-220000
χ522-22-2-222-22222-2-22222-2-2-2-222-2-2-2-2222-2-2-2-220000-2-22222-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000-222-20000
χ532-22-2-222-22-1-2-22222-1-1-2-2112-1-2-211-1-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111002i−2i002i−2i00000000−i−iii−i−iii00000000
χ542-22-2-222-22-1-2-22222-1-1-2-2112-1-2-211-1-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100−2i2i00−2i2i00000000ii−i−iii−i−i00000000
χ552-22-2-222-22-1-2-22222-1-1-2-2112-1-2-211-1-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1002i−2i00−2i2i00000000−i−iiiii−i−i00000000
χ562-22-2-222-22-1-2-22222-1-1-2-2112-1-2-211-1-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100−2i2i002i−2i00000000ii−i−i−i−iii00000000
χ572-22-2-222-2-12-2-222-1-12211-2-2-1211-2-2-1-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112i−2i002i−2i00−i−iii−i−iii0000000000000000
χ582-22-2-222-2-12-2-222-1-12211-2-2-1211-2-2-1-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111−2i2i00−2i2i00ii−i−iii−i−i0000000000000000
χ592-22-2-222-2-12-2-222-1-12211-2-2-1211-2-2-1-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-12i−2i00−2i2i00−i−iiiii−i−i0000000000000000
χ602-22-2-222-2-12-2-222-1-12211-2-2-1211-2-2-1-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1−2i2i002i−2i00ii−i−i−i−iii0000000000000000
χ61444444444-2-4-4-4-444-2-244-2-24-244-2-2-2-2-2-2-2-2-2-20000-42-4-422222222-42220000000000000000000000000000000000000000000000000000000000000000
χ6244444444-24-4-4-4-4-2-244-2-244-24-2-244-2-2-2-2-2-2-2-200002-422-4-42222222-4220000000000000000000000000000000000000000000000000000000000000000
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
χ67444-4-4-4-444-24-44-4-4-4224-4-224-24-4-22-222-2-222-20000-424-4-2222-2-2224-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ68444-4-4-4-44-244-44-422-4-4-224-4-24-224-4-222-2-222-200002-4-224-422-2-222-24-2-20000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.