Finite Group Databasebeta

← Group #13161154

Character table — Group #13161154

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1122222222244444444444441818361122222222244444444444441818362244444444488888888888883636722244444444488888888888883636723366666666612121212121212121212121212545410833666666666121212121212121212121212125454108
order123333466664121212121212121212121212882226666466664121212121212121212121212882363333126666121212121212121212121212122424666666612666612121212121212121212121212242464412121212412121212412121212121212121212121288444121212124121212124121212121212121212121212884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1111111111111111111111111-1-1-1111111111111111111111111-1-1-1111111111111111111111111-1-1-1111111111111111111111111-1-1-1111111111111111111111111-1-1-1
χ311111111111-11111-1-1-1-1-1-1-1-111-111111111111-11111-1-1-1-1-1-1-1-111-111111111111-11111-1-1-1-1-1-1-1-111-111111111111-11111-1-1-1-1-1-1-1-111-111111111111-11111-1-1-1-1-1-1-1-111-111111111111-11111-1-1-1-1-1-1-1-111-1
χ411111111111-11111-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-11
χ5222222-222220-2-2-2-200000000000222222-222220-2-2-2-200000000000222222-222220-2-2-2-200000000000222222-222220-2-2-2-200000000000222222-222220-2-2-2-200000000000222222-222220-2-2-2-200000000000
χ6222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-1000222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-1000222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-1000222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-1000222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-1000222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-1000
χ7222-1-1-122-1-1-1-22-1-1-1-2-2111111000222-1-1-122-1-1-1-22-1-1-1-2-2111111000222-1-1-122-1-1-1-22-1-1-1-2-2111111000222-1-1-122-1-1-1-22-1-1-1-2-2111111000222-1-1-122-1-1-1-22-1-1-1-2-2111111000222-1-1-122-1-1-1-22-1-1-1-2-2111111000
χ8222-1-1-1-22-1-1-10-211100−i3−i3−i3i3i3i3000222-1-1-1-22-1-1-10-211100−i3−i3−i3i3i3i3000222-1-1-1-22-1-1-10-211100−i3−i3−i3i3i3i3000222-1-1-1-22-1-1-10-211100−i3−i3−i3i3i3i3000222-1-1-1-22-1-1-10-211100−i3−i3−i3i3i3i3000222-1-1-1-22-1-1-10-211100−i3−i3−i3i3i3i3000
χ9222-1-1-1-22-1-1-10-211100i3i3i3−i3−i3−i3000222-1-1-1-22-1-1-10-211100i3i3i3−i3−i3−i3000222-1-1-1-22-1-1-10-211100i3i3i3−i3−i3−i3000222-1-1-1-22-1-1-10-211100i3i3i3−i3−i3−i3000222-1-1-1-22-1-1-10-211100i3i3i3−i3−i3−i3000222-1-1-1-22-1-1-10-211100i3i3i3−i3−i3−i3000
χ1022-12-1-12-12-1-12-12-1-1-1-12-1-12-1-100022-12-1-12-12-1-12-12-1-1-1-12-1-12-1-100022-12-1-12-12-1-12-12-1-1-1-12-1-12-1-100022-12-1-12-12-1-12-12-1-1-1-12-1-12-1-100022-12-1-12-12-1-12-12-1-1-1-12-1-12-1-100022-12-1-12-12-1-12-12-1-1-1-12-1-12-1-1000
χ1122-12-1-12-12-1-1-2-12-1-111-211-21100022-12-1-12-12-1-1-2-12-1-111-211-21100022-12-1-12-12-1-1-2-12-1-111-211-21100022-12-1-12-12-1-1-2-12-1-111-211-21100022-12-1-12-12-1-1-2-12-1-111-211-21100022-12-1-12-12-1-1-2-12-1-111-211-211000
χ1222-12-1-1-2-12-1-101-211−i3i30−i3i30−i3i300022-12-1-1-2-12-1-101-211−i3i30−i3i30−i3i300022-12-1-1-2-12-1-101-211−i3i30−i3i30−i3i300022-12-1-1-2-12-1-101-211−i3i30−i3i30−i3i300022-12-1-1-2-12-1-101-211−i3i30−i3i30−i3i300022-12-1-1-2-12-1-101-211−i3i30−i3i30−i3i3000
χ1322-12-1-1-2-12-1-101-211i3−i30i3−i30i3−i300022-12-1-1-2-12-1-101-211i3−i30i3−i30i3−i300022-12-1-1-2-12-1-101-211i3−i30i3−i30i3−i300022-12-1-1-2-12-1-101-211i3−i30i3−i30i3−i300022-12-1-1-2-12-1-101-211i3−i30i3−i30i3−i300022-12-1-1-2-12-1-101-211i3−i30i3−i30i3−i3000
χ1422-1-12-12-1-12-12-1-12-1-1-1-12-1-1-1200022-1-12-12-1-12-12-1-12-1-1-1-12-1-1-1200022-1-12-12-1-12-12-1-12-1-1-1-12-1-1-1200022-1-12-12-1-12-12-1-12-1-1-1-12-1-1-1200022-1-12-12-1-12-12-1-12-1-1-1-12-1-1-1200022-1-12-12-1-12-12-1-12-1-1-1-12-1-1-12000
χ1522-1-12-12-1-12-1-2-1-12-1111-2111-200022-1-12-12-1-12-1-2-1-12-1111-2111-200022-1-12-12-1-12-1-2-1-12-1111-2111-200022-1-12-12-1-12-1-2-1-12-1111-2111-200022-1-12-12-1-12-1-2-1-12-1111-2111-200022-1-12-12-1-12-1-2-1-12-1111-2111-2000
χ1622-1-12-1-2-1-12-1011-21−i3i3i30−i3−i3i3000022-1-12-1-2-1-12-1011-21−i3i3i30−i3−i3i3000022-1-12-1-2-1-12-1011-21−i3i3i30−i3−i3i3000022-1-12-1-2-1-12-1011-21−i3i3i30−i3−i3i3000022-1-12-1-2-1-12-1011-21−i3i3i30−i3−i3i3000022-1-12-1-2-1-12-1011-21−i3i3i30−i3−i3i30000
χ1722-1-12-1-2-1-12-1011-21i3−i3−i30i3i3−i3000022-1-12-1-2-1-12-1011-21i3−i3−i30i3i3−i3000022-1-12-1-2-1-12-1011-21i3−i3−i30i3i3−i3000022-1-12-1-2-1-12-1011-21i3−i3−i30i3i3−i3000022-1-12-1-2-1-12-1011-21i3−i3−i30i3i3−i3000022-1-12-1-2-1-12-1011-21i3−i3−i30i3i3−i30000
χ1822-1-1-122-1-1-122-1-1-12-1-1-1-12-12-100022-1-1-122-1-1-122-1-1-12-1-1-1-12-12-100022-1-1-122-1-1-122-1-1-12-1-1-1-12-12-100022-1-1-122-1-1-122-1-1-12-1-1-1-12-12-100022-1-1-122-1-1-122-1-1-12-1-1-1-12-12-100022-1-1-122-1-1-122-1-1-12-1-1-1-12-12-1000
χ1922-1-1-122-1-1-12-2-1-1-121111-21-2100022-1-1-122-1-1-12-2-1-1-121111-21-2100022-1-1-122-1-1-12-2-1-1-121111-21-2100022-1-1-122-1-1-12-2-1-1-121111-21-2100022-1-1-122-1-1-12-2-1-1-121111-21-2100022-1-1-122-1-1-12-2-1-1-121111-21-21000
χ2022-1-1-12-2-1-1-120111-2−i3i3−i3i30i30−i300022-1-1-12-2-1-1-120111-2−i3i3−i3i30i30−i300022-1-1-12-2-1-1-120111-2−i3i3−i3i30i30−i300022-1-1-12-2-1-1-120111-2−i3i3−i3i30i30−i300022-1-1-12-2-1-1-120111-2−i3i3−i3i30i30−i300022-1-1-12-2-1-1-120111-2−i3i3−i3i30i30−i3000
χ2122-1-1-12-2-1-1-120111-2i3−i3i3−i30−i30i300022-1-1-12-2-1-1-120111-2i3−i3i3−i30−i30i300022-1-1-12-2-1-1-120111-2i3−i3i3−i30−i30i300022-1-1-12-2-1-1-120111-2i3−i3i3−i30−i30i300022-1-1-12-2-1-1-120111-2i3−i3i3−i30−i30i300022-1-1-12-2-1-1-120111-2i3−i3i3−i30−i30i3000
χ222-222220-2-2-2-20000000000000−i2i202-222220-2-2-2-20000000000000−i2i202-222220-2-2-2-20000000000000−i2i202-222220-2-2-2-20000000000000−i2i202-222220-2-2-2-20000000000000−i2i202-222220-2-2-2-20000000000000−i2i20
χ232-222220-2-2-2-20000000000000i2−i202-222220-2-2-2-20000000000000i2−i202-222220-2-2-2-20000000000000i2−i202-222220-2-2-2-20000000000000i2−i202-222220-2-2-2-20000000000000i2−i202-222220-2-2-2-20000000000000i2−i20
χ244-44-2-2-20-422200000000000000004-44-2-2-20-422200000000000000004-44-2-2-20-422200000000000000004-44-2-2-20-422200000000000000004-44-2-2-20-422200000000000000004-44-2-2-20-42220000000000000000
χ254-4-24-2-202-42200000000000000004-4-24-2-202-42200000000000000004-4-24-2-202-42200000000000000004-4-24-2-202-42200000000000000004-4-24-2-202-42200000000000000004-4-24-2-202-4220000000000000000
χ264-4-2-24-2022-4200000000000000004-4-2-24-2022-4200000000000000004-4-2-24-2022-4200000000000000004-4-2-24-2022-4200000000000000004-4-2-24-2022-4200000000000000004-4-2-24-2022-420000000000000000
χ274-4-2-2-240222-400000000000000004-4-2-2-240222-400000000000000004-4-2-2-240222-400000000000000004-4-2-2-240222-400000000000000004-4-2-2-240222-400000000000000004-4-2-2-240222-40000000000000000
χ28111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ29111111111111111111111111-1-1-1111111111111111111111111-1-1-1111111111111111111111111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ3011111111111-11111-1-1-1-1-1-1-1-111-111111111111-11111-1-1-1-1-1-1-1-111-111111111111-11111-1-1-1-1-1-1-1-111-111111111111-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-11
χ3111111111111-11111-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111-1
χ32222222-222220-2-2-2-200000000000222222-222220-2-2-2-200000000000222222-222220-2-2-2-200000000000222222-222220-2-2-2-200000000000-2-2-2-2-2-22-2-2-2-20222200000000000-2-2-2-2-2-22-2-2-2-20222200000000000
χ33222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-1000222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-1000222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-1000222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-1000-2-2-2111-2-2111-2-2111-2-2111111000-2-2-2111-2-2111-2-2111-2-2111111000
χ34222-1-1-122-1-1-1-22-1-1-1-2-2111111000222-1-1-122-1-1-1-22-1-1-1-2-2111111000222-1-1-122-1-1-1-22-1-1-1-2-2111111000222-1-1-122-1-1-1-22-1-1-1-2-2111111000-2-2-2111-2-21112-211122-1-1-1-1-1-1000-2-2-2111-2-21112-211122-1-1-1-1-1-1000
χ35222-1-1-1-22-1-1-10-211100−i3−i3−i3i3i3i3000222-1-1-1-22-1-1-10-211100−i3−i3−i3i3i3i3000222-1-1-1-22-1-1-10-211100−i3−i3−i3i3i3i3000222-1-1-1-22-1-1-10-211100−i3−i3−i3i3i3i3000-2-2-21112-211102-1-1-100i3i3i3−i3−i3−i3000-2-2-21112-211102-1-1-100i3i3i3−i3−i3−i3000
χ36222-1-1-1-22-1-1-10-211100i3i3i3−i3−i3−i3000222-1-1-1-22-1-1-10-211100i3i3i3−i3−i3−i3000222-1-1-1-22-1-1-10-211100i3i3i3−i3−i3−i3000222-1-1-1-22-1-1-10-211100i3i3i3−i3−i3−i3000-2-2-21112-211102-1-1-100−i3−i3−i3i3i3i3000-2-2-21112-211102-1-1-100−i3−i3−i3i3i3i3000
χ3722-12-1-12-12-1-12-12-1-1-1-12-1-12-1-100022-12-1-12-12-1-12-12-1-1-1-12-1-12-1-100022-12-1-12-12-1-12-12-1-1-1-12-1-12-1-100022-12-1-12-12-1-12-12-1-1-1-12-1-12-1-1000-2-21-211-21-211-21-21111-211-211000-2-21-211-21-211-21-21111-211-211000
χ3822-12-1-12-12-1-1-2-12-1-111-211-21100022-12-1-12-12-1-1-2-12-1-111-211-21100022-12-1-12-12-1-1-2-12-1-111-211-21100022-12-1-12-12-1-1-2-12-1-111-211-211000-2-21-211-21-21121-211-1-12-1-12-1-1000-2-21-211-21-21121-211-1-12-1-12-1-1000
χ3922-12-1-1-2-12-1-101-211−i3i30−i3i30−i3i300022-12-1-1-2-12-1-101-211−i3i30−i3i30−i3i300022-12-1-1-2-12-1-101-211−i3i30−i3i30−i3i300022-12-1-1-2-12-1-101-211−i3i30−i3i30−i3i3000-2-21-21121-2110-12-1-1i3−i30i3−i30i3−i3000-2-21-21121-2110-12-1-1i3−i30i3−i30i3−i3000
χ4022-12-1-1-2-12-1-101-211i3−i30i3−i30i3−i300022-12-1-1-2-12-1-101-211i3−i30i3−i30i3−i300022-12-1-1-2-12-1-101-211i3−i30i3−i30i3−i300022-12-1-1-2-12-1-101-211i3−i30i3−i30i3−i3000-2-21-21121-2110-12-1-1−i3i30−i3i30−i3i3000-2-21-21121-2110-12-1-1−i3i30−i3i30−i3i3000
χ4122-1-12-12-1-12-12-1-12-1-1-1-12-1-1-1200022-1-12-12-1-12-12-1-12-1-1-1-12-1-1-1200022-1-12-12-1-12-12-1-12-1-1-1-12-1-1-1200022-1-12-12-1-12-12-1-12-1-1-1-12-1-1-12000-2-211-21-211-21-211-21111-2111-2000-2-211-21-211-21-211-21111-2111-2000
χ4222-1-12-12-1-12-1-2-1-12-1111-2111-200022-1-12-12-1-12-1-2-1-12-1111-2111-200022-1-12-12-1-12-1-2-1-12-1111-2111-200022-1-12-12-1-12-1-2-1-12-1111-2111-2000-2-211-21-211-21211-21-1-1-12-1-1-12000-2-211-21-211-21211-21-1-1-12-1-1-12000
χ4322-1-12-1-2-1-12-1011-21−i3i3i30−i3−i3i3000022-1-12-1-2-1-12-1011-21−i3i3i30−i3−i3i3000022-1-12-1-2-1-12-1011-21−i3i3i30−i3−i3i3000022-1-12-1-2-1-12-1011-21−i3i3i30−i3−i3i30000-2-211-21211-210-1-12-1i3−i3−i30i3i3−i30000-2-211-21211-210-1-12-1i3−i3−i30i3i3−i30000
χ4422-1-12-1-2-1-12-1011-21i3−i3−i30i3i3−i3000022-1-12-1-2-1-12-1011-21i3−i3−i30i3i3−i3000022-1-12-1-2-1-12-1011-21i3−i3−i30i3i3−i3000022-1-12-1-2-1-12-1011-21i3−i3−i30i3i3−i30000-2-211-21211-210-1-12-1−i3i3i30−i3−i3i30000-2-211-21211-210-1-12-1−i3i3i30−i3−i3i30000
χ4522-1-1-122-1-1-122-1-1-12-1-1-1-12-12-100022-1-1-122-1-1-122-1-1-12-1-1-1-12-12-100022-1-1-122-1-1-122-1-1-12-1-1-1-12-12-100022-1-1-122-1-1-122-1-1-12-1-1-1-12-12-1000-2-2111-2-2111-2-2111-21111-21-21000-2-2111-2-2111-2-2111-21111-21-21000
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χ15444-2-2-244-2-2-24-4-2-2-242222-42-42000-4-4222-4-4222-44222-4-2-2-2-24-24-2000-2-2111-2-2111-22111-2-1-1-1-12-12-100022-1-1-122-1-1-12-2-1-1-121111-21-21000000000000000000000000000000000000000000000000000000000
χ15544-2-2-24-4-2-2-240222-4−2i32i3−2i32i302i30−2i3000-4-4222-44222-40-2-2-242i3−2i32i3−2i30−2i302i3000-2-2111-22111-20-1-1-12i3−i3i3−i30−i30i300022-1-1-12-2-1-1-120111-2−i3i3−i3i30i30−i3000000000000000000000000000000000000000000000000000000000
χ15644-2-2-24-4-2-2-240222-42i3−2i32i3−2i30−2i302i3000-4-4222-44222-40-2-2-24−2i32i3−2i32i302i30−2i3000-2-2111-22111-20-1-1-12−i3i3−i3i30i30−i300022-1-1-12-2-1-1-120111-2i3−i3i3−i30−i30i3000000000000000000000000000000000000000000000000000000000
χ1574-444440-4-4-4-40000000000000−2i22i20-44-4-4-4-40444400000000000002i2−2i20-22-2-2-2-2022220000000000000i2−i202-222220-2-2-2-20000000000000−i2i20000000000000000000000000000000000000000000000000000000
χ1584-444440-4-4-4-400000000000002i2−2i20-44-4-4-4-4044440000000000000−2i22i20-22-2-2-2-2022220000000000000−i2i202-222220-2-2-2-20000000000000i2−i20000000000000000000000000000000000000000000000000000000
χ1598-88-4-4-40-84440000000000000000-88-844408-4-4-40000000000000000-44-422204-2-2-200000000000000004-44-2-2-20-42220000000000000000000000000000000000000000000000000000000000000000000000
χ1608-8-48-4-404-8440000000000000000-884-8440-48-4-40000000000000000-442-4220-24-2-200000000000000004-4-24-2-202-4220000000000000000000000000000000000000000000000000000000000000000000000
χ1618-8-4-48-4044-840000000000000000-8844-840-4-48-40000000000000000-4422-420-2-24-200000000000000004-4-2-24-2022-420000000000000000000000000000000000000000000000000000000000000000000000
χ1628-8-4-4-480444-80000000000000000-88444-80-4-4-480000000000000000-44222-40-2-2-2400000000000000004-4-2-2-240222-40000000000000000000000000000000000000000000000000000000000000000000000

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