Finite Group Databasebeta

← Group #13170781

Character table — Group #13170781

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size112222244444466669912121212181122222444444666699121212121822444448888881212121218182424242436224444488888812121212181824242424363366666121212121212181818182727363636365433666661212121212121818181827273636363654
order123346636121212122222226666422664666612121212222222666643633126636121212126666666666126666126666121212126666666666124412124121212121212121244444412121212444121241212121212121212444444121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-111-1-1-1111111111111111-1-1-1-111-1-1-1111111111111111-1-1-1-111-1-1-1111111111111111-1-1-1-111-1-1-1111111111111111-1-1-1-111-1-1-1111111111111111-1-1-1-111-1-1-1
χ31111111111111-1-111-1-1-1-111-11111111111111-1-111-1-1-1-111-11111111111111-1-111-1-1-1-111-11111111111111-1-111-1-1-1-111-11111111111111-1-111-1-1-1-111-11111111111111-1-111-1-1-1-111-1
χ41111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-11
χ51111-11111-1-1-1-11-11-1111-11-1-11111-11111-1-1-1-11-11-1111-11-1-11111-11111-1-1-1-11-11-1111-11-1-11111-11111-1-1-1-11-11-1111-11-1-11111-11111-1-1-1-11-11-1111-11-1-11111-11111-1-1-1-11-11-1111-11-1-1
χ61111-11111-1-1-1-11-1-11-1-11-1-1111111-11111-1-1-1-11-1-11-1-11-1-1111111-11111-1-1-1-11-1-11-1-11-1-1111111-11111-1-1-1-11-1-11-1-11-1-1111111-11111-1-1-1-11-1-11-1-11-1-1111111-11111-1-1-1-11-1-11-1-11-1-111
χ71111-11111-1-1-1-1-111-1-1-1-111-111111-11111-1-1-1-1-111-1-1-1-111-111111-11111-1-1-1-1-111-1-1-1-111-111111-11111-1-1-1-1-111-1-1-1-111-111111-11111-1-1-1-1-111-1-1-1-111-111111-11111-1-1-1-1-111-1-1-1-111-11
χ81111-11111-1-1-1-1-11-1111-11-11-11111-11111-1-1-1-1-11-1111-11-11-11111-11111-1-1-1-1-11-1111-11-11-11111-11111-1-1-1-1-11-1111-11-11-11111-11111-1-1-1-1-11-1111-11-11-11111-11111-1-1-1-1-11-1111-11-11-1
χ9222-122-1-1-12-1-1-100220000-1-10222-122-1-1-12-1-1-100220000-1-10222-122-1-1-12-1-1-100220000-1-10222-122-1-1-12-1-1-100220000-1-10222-122-1-1-12-1-1-100220000-1-10222-122-1-1-12-1-1-100220000-1-10
χ10222-122-1-1-12-1-1-100-2-20000110222-122-1-1-12-1-1-100-2-20000110222-122-1-1-12-1-1-100-2-20000110222-122-1-1-12-1-1-100-2-20000110222-122-1-1-12-1-1-100-2-20000110222-122-1-1-12-1-1-100-2-20000110
χ11222-1-22-1-1-1-2111002-20000-110222-1-22-1-1-1-2111002-20000-110222-1-22-1-1-1-2111002-20000-110222-1-22-1-1-1-2111002-20000-110222-1-22-1-1-1-2111002-20000-110222-1-22-1-1-1-2111002-20000-110
χ12222-1-22-1-1-1-211100-2200001-10222-1-22-1-1-1-211100-2200001-10222-1-22-1-1-1-211100-2200001-10222-1-22-1-1-1-211100-2200001-10222-1-22-1-1-1-211100-2200001-10222-1-22-1-1-1-211100-2200001-10
χ1322-122-12-1-1-12-1-1220000-1-100022-122-12-1-1-12-1-1220000-1-100022-122-12-1-1-12-1-1220000-1-100022-122-12-1-1-12-1-1220000-1-100022-122-12-1-1-12-1-1220000-1-100022-122-12-1-1-12-1-1220000-1-1000
χ1422-122-12-1-1-12-1-1-2-200001100022-122-12-1-1-12-1-1-2-200001100022-122-12-1-1-12-1-1-2-200001100022-122-12-1-1-12-1-1-2-200001100022-122-12-1-1-12-1-1-2-200001100022-122-12-1-1-12-1-1-2-2000011000
χ1522-12-2-12-1-11-2112-20000-1100022-12-2-12-1-11-2112-20000-1100022-12-2-12-1-11-2112-20000-1100022-12-2-12-1-11-2112-20000-1100022-12-2-12-1-11-2112-20000-1100022-12-2-12-1-11-2112-20000-11000
χ1622-12-2-12-1-11-211-2200001-100022-12-2-12-1-11-211-2200001-100022-12-2-12-1-11-211-2200001-100022-12-2-12-1-11-211-2200001-100022-12-2-12-1-11-211-2200001-100022-12-2-12-1-11-211-2200001-1000
χ172-2220-2-22-2000000002-2000002-2220-2-22-2000000002-2000002-2220-2-22-2000000002-2000002-2220-2-22-2000000002-2000002-2220-2-22-2000000002-2000002-2220-2-22-2000000002-200000
χ182-2220-2-22-200000000-22000002-2220-2-22-200000000-22000002-2220-2-22-200000000-22000002-2220-2-22-200000000-22000002-2220-2-22-200000000-22000002-2220-2-22-200000000-2200000
χ1944-2-24-2-211-2-2110000000000044-2-24-2-211-2-2110000000000044-2-24-2-211-2-2110000000000044-2-24-2-211-2-2110000000000044-2-24-2-211-2-2110000000000044-2-24-2-211-2-21100000000000
χ2044-2-2-4-2-21122-1-10000000000044-2-2-4-2-21122-1-10000000000044-2-2-4-2-21122-1-10000000000044-2-2-4-2-21122-1-10000000000044-2-2-4-2-21122-1-10000000000044-2-2-4-2-21122-1-100000000000
χ214-44-20-42-220000000000000004-44-20-42-220000000000000004-44-20-42-220000000000000004-44-20-42-220000000000000004-44-20-42-220000000000000004-44-20-42-22000000000000000
χ224-4-2402-4-220000000000000004-4-2402-4-220000000000000004-4-2402-4-220000000000000004-4-2402-4-220000000000000004-4-2402-4-220000000000000004-4-2402-4-22000000000000000
χ234-4-2-20221-1003i−3i000000000004-4-2-20221-1003i−3i000000000004-4-2-20221-1003i−3i000000000004-4-2-20221-1003i−3i000000000004-4-2-20221-1003i−3i000000000004-4-2-20221-1003i−3i00000000000
χ244-4-2-20221-100−3i3i000000000004-4-2-20221-100−3i3i000000000004-4-2-20221-100−3i3i000000000004-4-2-20221-100−3i3i000000000004-4-2-20221-100−3i3i000000000004-4-2-20221-100−3i3i00000000000
χ25111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111111111-1-1-1-111-1-1-1111111111111111-1-1-1-111-1-1-1111111111111111-1-1-1-111-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111
χ271111111111111-1-111-1-1-1-111-11111111111111-1-111-1-1-1-111-11111111111111-1-111-1-1-1-111-11111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ281111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1
χ291111-11111-1-1-1-11-11-1111-11-1-11111-11111-1-1-1-11-11-1111-11-1-11111-11111-1-1-1-11-11-1111-11-1-11111-11111-1-1-1-11-11-1111-11-1-1-1-1-1-11-1-1-1-11111-11-11-1-1-11-111-1-1-1-11-1-1-1-11111-11-11-1-1-11-111
χ301111-11111-1-1-1-11-1-11-1-11-1-1111111-11111-1-1-1-11-1-11-1-11-1-1111111-11111-1-1-1-11-1-11-1-11-1-1111111-11111-1-1-1-11-1-11-1-11-1-111-1-1-1-11-1-1-1-11111-111-111-111-1-1-1-1-1-11-1-1-1-11111-111-111-111-1-1
χ311111-11111-1-1-1-1-111-1-1-1-111-111111-11111-1-1-1-1-111-1-1-1-111-111111-11111-1-1-1-1-111-1-1-1-111-111111-11111-1-1-1-1-111-1-1-1-111-11-1-1-1-11-1-1-1-111111-1-11111-1-11-1-1-1-1-11-1-1-1-111111-1-11111-1-11-1
χ321111-11111-1-1-1-1-11-1111-11-11-11111-11111-1-1-1-1-11-1111-11-11-11111-11111-1-1-1-1-11-1111-11-11-11111-11111-1-1-1-1-11-1111-11-11-1-1-1-1-11-1-1-1-111111-11-1-1-11-11-11-1-1-1-11-1-1-1-111111-11-1-1-11-11-11
χ33222-122-1-1-12-1-1-100220000-1-10222-122-1-1-12-1-1-100220000-1-10222-122-1-1-12-1-1-100220000-1-10222-122-1-1-12-1-1-100220000-1-10-2-2-21-2-2111-211100-2-20000110-2-2-21-2-2111-211100-2-20000110
χ34222-122-1-1-12-1-1-100-2-20000110222-122-1-1-12-1-1-100-2-20000110222-122-1-1-12-1-1-100-2-20000110222-122-1-1-12-1-1-100-2-20000110-2-2-21-2-2111-211100220000-1-10-2-2-21-2-2111-211100220000-1-10
χ35222-1-22-1-1-1-2111002-20000-110222-1-22-1-1-1-2111002-20000-110222-1-22-1-1-1-2111002-20000-110222-1-22-1-1-1-2111002-20000-110-2-2-212-21112-1-1-100-2200001-10-2-2-212-21112-1-1-100-2200001-10
χ36222-1-22-1-1-1-211100-2200001-10222-1-22-1-1-1-211100-2200001-10222-1-22-1-1-1-211100-2200001-10222-1-22-1-1-1-211100-2200001-10-2-2-212-21112-1-1-1002-20000-110-2-2-212-21112-1-1-1002-20000-110
χ3722-122-12-1-1-12-1-1220000-1-100022-122-12-1-1-12-1-1220000-1-100022-122-12-1-1-12-1-1220000-1-100022-122-12-1-1-12-1-1220000-1-1000-2-21-2-21-2111-211-2-2000011000-2-21-2-21-2111-211-2-2000011000
χ3822-122-12-1-1-12-1-1-2-200001100022-122-12-1-1-12-1-1-2-200001100022-122-12-1-1-12-1-1-2-200001100022-122-12-1-1-12-1-1-2-2000011000-2-21-2-21-2111-211220000-1-1000-2-21-2-21-2111-211220000-1-1000
χ3922-12-2-12-1-11-2112-20000-1100022-12-2-12-1-11-2112-20000-1100022-12-2-12-1-11-2112-20000-1100022-12-2-12-1-11-2112-20000-11000-2-21-221-211-12-1-1-2200001-1000-2-21-221-211-12-1-1-2200001-1000
χ4022-12-2-12-1-11-211-2200001-100022-12-2-12-1-11-211-2200001-100022-12-2-12-1-11-211-2200001-100022-12-2-12-1-11-211-2200001-1000-2-21-221-211-12-1-12-20000-11000-2-21-221-211-12-1-12-20000-11000
χ412-2220-2-22-2000000002-2000002-2220-2-22-2000000002-2000002-2220-2-22-2000000002-2000002-2220-2-22-2000000002-200000-22-2-2022-2200000000-2200000-22-2-2022-2200000000-2200000
χ422-2220-2-22-200000000-22000002-2220-2-22-200000000-22000002-2220-2-22-200000000-22000002-2220-2-22-200000000-2200000-22-2-2022-22000000002-200000-22-2-2022-22000000002-200000
χ4344-2-24-2-211-2-2110000000000044-2-24-2-211-2-2110000000000044-2-24-2-211-2-2110000000000044-2-24-2-211-2-21100000000000-4-422-422-1-122-1-100000000000-4-422-422-1-122-1-100000000000
χ4444-2-2-4-2-21122-1-10000000000044-2-2-4-2-21122-1-10000000000044-2-2-4-2-21122-1-10000000000044-2-2-4-2-21122-1-100000000000-4-422422-1-1-2-21100000000000-4-422422-1-1-2-21100000000000
χ454-44-20-42-220000000000000004-44-20-42-220000000000000004-44-20-42-220000000000000004-44-20-42-22000000000000000-44-4204-22-2000000000000000-44-4204-22-2000000000000000
χ464-4-2402-4-220000000000000004-4-2402-4-220000000000000004-4-2402-4-220000000000000004-4-2402-4-22000000000000000-442-40-242-2000000000000000-442-40-242-2000000000000000
χ474-4-2-20221-1003i−3i000000000004-4-2-20221-1003i−3i000000000004-4-2-20221-1003i−3i000000000004-4-2-20221-1003i−3i00000000000-44220-2-2-1100−3i3i00000000000-44220-2-2-1100−3i3i00000000000
χ484-4-2-20221-100−3i3i000000000004-4-2-20221-100−3i3i000000000004-4-2-20221-100−3i3i000000000004-4-2-20221-100−3i3i00000000000-44220-2-2-11003i−3i00000000000-44220-2-2-11003i−3i00000000000
χ49111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ50111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111iiiiiiiiiiiiiii−i−i−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iiii
χ511111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11iiiiiiiiiiiii−i−iii−i−i−i−iii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iiiii−i−ii
χ521111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1iiiiiiiiiiiii−i−i−i−iii−i−i−i−ii−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iiiii−i
χ531111-11111-1-1-1-11-11-1111-11-1-1-1-1-1-11-1-1-1-11111-11-11-1-1-11-1111111-11111-1-1-1-11-11-1111-11-1-1-1-1-1-11-1-1-1-11111-11-11-1-1-11-111iiii−iiiii−i−i−i−ii−ii−iiii−ii−i−i−i−i−i−ii−i−i−i−iiiii−ii−ii−i−i−ii−iii
χ541111-11111-1-1-1-11-1-11-1-11-1-111-1-1-1-11-1-1-1-11111-111-111-111-1-11111-11111-1-1-1-11-1-11-1-11-1-111-1-1-1-11-1-1-1-11111-111-111-111-1-1iiii−iiiii−i−i−i−ii−i−ii−i−ii−i−iii−i−i−i−ii−i−i−i−iiiii−iii−iii−iii−i−i
χ551111-11111-1-1-1-1-111-1-1-1-111-11-1-1-1-11-1-1-1-111111-1-11111-1-11-11111-11111-1-1-1-1-111-1-1-1-111-11-1-1-1-11-1-1-1-111111-1-11111-1-11-1iiii−iiiii−i−i−i−i−iii−i−i−i−iii−ii−i−i−i−ii−i−i−i−iiiiii−i−iiiii−i−ii−i
χ561111-11111-1-1-1-1-11-1111-11-11-1-1-1-1-11-1-1-1-111111-11-1-1-11-11-111111-11111-1-1-1-1-11-1111-11-11-1-1-1-1-11-1-1-1-111111-11-1-1-11-11-11iiii−iiiii−i−i−i−i−ii−iiii−ii−ii−i−i−i−i−ii−i−i−i−iiiiii−ii−i−i−ii−ii−ii
χ57222-122-1-1-12-1-1-100220000-1-10-2-2-21-2-2111-211100-2-20000110222-122-1-1-12-1-1-100220000-1-10-2-2-21-2-2111-211100-2-200001102i2i2i−i2i2i−i−i−i2i−i−i−i002i2i0000−i−i0−2i−2i−2ii−2i−2iiii−2iiii00−2i−2i0000ii0
χ58222-122-1-1-12-1-1-100-2-20000110-2-2-21-2-2111-211100220000-1-10222-122-1-1-12-1-1-100-2-20000110-2-2-21-2-2111-211100220000-1-102i2i2i−i2i2i−i−i−i2i−i−i−i00−2i−2i0000ii0−2i−2i−2ii−2i−2iiii−2iiii002i2i0000−i−i0
χ59222-1-22-1-1-1-2111002-20000-110-2-2-212-21112-1-1-100-2200001-10222-1-22-1-1-1-2111002-20000-110-2-2-212-21112-1-1-100-2200001-102i2i2i−i−2i2i−i−i−i−2iiii002i−2i0000−ii0−2i−2i−2ii2i−2iiii2i−i−i−i00−2i2i0000i−i0
χ60222-1-22-1-1-1-211100-2200001-10-2-2-212-21112-1-1-1002-20000-110222-1-22-1-1-1-211100-2200001-10-2-2-212-21112-1-1-1002-20000-1102i2i2i−i−2i2i−i−i−i−2iiii00−2i2i0000i−i0−2i−2i−2ii2i−2iiii2i−i−i−i002i−2i0000−ii0
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χ13344-244-24-2-2-24-2-2440000-2-2000-4-42-4-42-4222-422-4-4000022000-2-21-2-21-2111-211-2-200001100022-122-12-1-1-12-1-1220000-1-1000000000000000000000000000000000000000000000000000
χ13444-244-24-2-2-24-2-2-4-4000022000-4-42-4-42-4222-422440000-2-2000-2-21-2-21-2111-211220000-1-100022-122-12-1-1-12-1-1-2-2000011000000000000000000000000000000000000000000000000000
χ13544-24-4-24-2-22-4224-40000-22000-4-42-442-422-24-2-2-4400002-2000-2-21-221-211-12-1-1-2200001-100022-12-2-12-1-11-2112-20000-11000000000000000000000000000000000000000000000000000
χ13644-24-4-24-2-22-422-4400002-2000-4-42-442-422-24-2-24-40000-22000-2-21-221-211-12-1-12-20000-1100022-12-2-12-1-11-211-2200001-1000000000000000000000000000000000000000000000000000
χ1374-4440-4-44-4000000004-400000-44-4-4044-4400000000-4400000-22-2-2022-2200000000-22000002-2220-2-22-2000000002-200000000000000000000000000000000000000000000000000000
χ1384-4440-4-44-400000000-4400000-44-4-4044-44000000004-400000-22-2-2022-22000000002-2000002-2220-2-22-200000000-2200000000000000000000000000000000000000000000000000000
χ13988-4-48-4-422-4-42200000000000-8-844-844-2-244-2-200000000000-4-422-422-1-122-1-10000000000044-2-24-2-211-2-21100000000000000000000000000000000000000000000000000000000000
χ14088-4-4-8-4-42244-2-200000000000-8-844844-2-2-4-42200000000000-4-422422-1-1-2-2110000000000044-2-2-4-2-21122-1-100000000000000000000000000000000000000000000000000000000000
χ1418-88-40-84-44000000000000000-88-8408-44-4000000000000000-44-4204-22-20000000000000004-44-20-42-22000000000000000000000000000000000000000000000000000000000000000
χ1428-8-4804-8-44000000000000000-884-80-484-4000000000000000-442-40-242-20000000000000004-4-2402-4-22000000000000000000000000000000000000000000000000000000000000000
χ1438-8-4-40442-2006i−6i00000000000-88440-4-4-2200−6i6i00000000000-44220-2-2-1100−3i3i000000000004-4-2-20221-1003i−3i00000000000000000000000000000000000000000000000000000000000
χ1448-8-4-40442-200−6i6i00000000000-88440-4-4-22006i−6i00000000000-44220-2-2-11003i−3i000000000004-4-2-20221-100−3i3i00000000000000000000000000000000000000000000000000000000000

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