Finite Group Databasebeta

← Group #13178770

Character table — Group #13178770

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112222222222222224444444444444444444444444444444444444444888888888888888888888888888888181818181818363636363636363636363636363636363636363636363636363636363636363636
order122223334444666121233333666666666666661212121212121212121212121212121212121212126666666666666661212121212121212121212121212128824242424224444446666888121212121212121212121212242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1111-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-1-1-1111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ5111-1-11111-1-1111111111111-1-111-1-1-1-1111111-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1
χ6111-1-11111-1-1111111111111-1-111-1-1-1-1111111-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-1-1-1-11-1-1-1-11111-1-1111111-1-1-1-1
χ7111-1-11111-1-1111111111111-1-111-1-1-1-1111111-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-11111
χ8111-1-11111-1-1111111111111-1-111-1-1-1-1111111-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-111-1-1111111-1-1-1-1-1-11111
χ911-11-1111-11-111111111111-11-1-1-111-1-111111-11-111-1-111-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111111-11-1-11-11111-11-1-1-111-1-1-1-111-1-1-1-111-1-1
χ1011-11-1111-11-111111111111-11-1-1-111-1-111111-11-111-1-111-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-1-11-111-11-1-1-1-1-11-111-1-11111-1-111-1-111-1-1
χ1111-11-1111-11-111111111111-11-1-1-111-1-111111-11-111-1-111-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11-1-11-11-1111-1-11-11-1-111-1-111-1-11111-1-111
χ1211-11-1111-11-111111111111-11-1-1-111-1-111111-11-111-1-111-1-11111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-1-1111-1111-1-111-1-111-1-111-1-111
χ1311-1-11111-1-1111111111111-1-11-1-1-1-11111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111
χ1411-1-11111-1-1111111111111-1-11-1-1-1-11111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-111-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111
χ1511-1-11111-1-1111111111111-1-11-1-1-1-11111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-1-1-1111-111-1-111-1-1-1-1-1111111-1-11111-1-1
χ1611-1-11111-1-1111111111111-1-11-1-1-1-11111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1111-1-1-11-1-11111-11111-1-1-1-1-1-1111111-1-1
χ172222222-1222222-1222-1-1-1-12222-12-12-12-1-1-1-12222-12-12-12-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-10000000200022200-1-1000000000-1-1-1-1-1-1000000
χ182222222-1222222-1222-1-1-1-12222-12-12-12-1-1-1-12222-12-12-12-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-10000000-2000-2-2-20011000000000111111000000
χ19222222-1222222-1222-12-1-1-1222-12-12-12-12-1-1-1222-12-12-12-12-1-122-1-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-100000020222000-1-100000-1-1-1-1-1-1000000000000
χ20222222-1222222-1222-12-1-1-1222-12-12-12-12-1-1-1222-12-12-12-12-1-122-1-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1000000-20-2-2-20001100000111111000000000000
χ2122222-1222222-122-1-1-1-12-1-1-1-1-1222222-1-12-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-122-1-1-1-1000000000000222000000000000-1-1-1-1-1-1
χ2222222-1222222-122-1-1-1-12-1-1-1-1-1222222-1-12-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-2-21111000000000000-2-2-2000000000000111111
χ232222-2222-2-22-2222-2-22222222-22222-2-222222-2-22-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000000000000
χ242222-222-1-2-22-222-1-2-22-1-1-1-122-22-12-1-212-1-1-1-1-2-22-21-21-212-1-2-2111111112-1-1-1-12-1-1-1-1-21111-21111-211112-1-1-1-10000000000000000−i3i3000000000−i3i3−i3i3−i3i3000000
χ252222-222-1-2-22-222-1-2-22-1-1-1-122-22-12-1-212-1-1-1-1-2-22-21-21-212-1-2-2111111112-1-1-1-12-1-1-1-1-21111-21111-211112-1-1-1-10000000000000000i3−i3000000000i3−i3i3−i3i3−i3000000
χ262222-22-12-2-22-22-12-2-2-12-1-1-122-2-12-121-2-12-1-1-1-2-221-21-21-2-1211-2-2111111-12-1-1-1-12-1-1-11-21111-21111-2111-12-1-1-100000000000000−i3i300000−i3i3−i3i3−i3i3000000000000
χ272222-22-12-2-22-22-12-2-2-12-1-1-122-2-12-121-2-12-1-1-1-2-221-21-21-2-1211-2-2111111-12-1-1-1-12-1-1-11-21111-21111-2111-12-1-1-100000000000000i3−i300000i3−i3i3−i3i3−i3000000000000
χ282222-2-122-2-22-2-12211-1-12-1-1-1-112222-2-2-1-12-1-111-1-2-2-2-2-2-2221111-2-21111-1-12-1-1-1-12-1-111-21111-21111-211-1-12-1-10033−3−30000000000000000000000000003−33−33−3
χ292222-2-122-2-22-2-12211-1-12-1-1-1-112222-2-2-1-12-1-111-1-2-2-2-2-2-2221111-2-21111-1-12-1-1-1-12-1-111-21111-21111-211-1-12-1-100−3−333000000000000000000000000000−33−33−33
χ30222-22222-22-2-2222-2-2222222-2222-2-22222222-22-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-222222-2-2-2-2-222222-2-2-2-2-2000000000000000000000000000000000000000
χ31222-2222-1-22-2-222-1-2-22-1-1-1-12-222-1-212-12-1-1-1-1-22-2-21-212-1-21-2-2111111112-1-1-1-1-211112-1-1-1-1-211112-1-1-1-1-211110000000000000000−i3i3000000000−i3i3i3−i3i3−i3000000
χ32222-2222-1-22-2-222-1-2-22-1-1-1-12-222-1-212-12-1-1-1-1-22-2-21-212-1-21-2-2111111112-1-1-1-1-211112-1-1-1-1-211112-1-1-1-1-211110000000000000000i3−i3000000000i3−i3−i3i3−i3i3000000
χ33222-222-12-22-2-22-12-2-2-12-1-1-12-22-121-2-12-12-1-1-1-22-21-21-2-121-211-2-2111111-12-1-1-11-2111-12-1-1-11-2111-12-1-1-11-211100000000000000−i3i300000−i3i3i3−i3i3−i3000000000000
χ34222-222-12-22-2-22-12-2-2-12-1-1-12-22-121-2-12-12-1-1-1-22-21-21-2-121-211-2-2111111-12-1-1-11-2111-12-1-1-11-2111-12-1-1-11-211100000000000000i3−i300000i3−i3−i3i3−i3i3000000000000
χ35222-22-122-22-2-2-12211-1-12-1-1-11-122-2-222-1-12-1-11-11-2-2-2-222-2-21111-2-21111-1-12-1-111-211-1-12-1-111-211-1-12-1-111-2110033−3−30000000000000000000000000003−3−33−33
χ36222-22-122-22-2-2-12211-1-12-1-1-11-122-2-222-1-12-1-11-11-2-2-2-222-2-21111-2-21111-1-12-1-111-211-1-12-1-111-211-1-12-1-111-21100−3−333000000000000000000000000000−333−33−3
χ37222-2-222-12-2-2222-1222-1-1-1-12-2-22-1-21-212-1-1-1-12-2-22-12-1-21-2122-1-1-1-1-1-1-1-12-1-1-1-1-21111-211112-1-1-1-1-21111-21111000000020002-2-200-1-1000000000-1-11111000000
χ38222-2-222-12-2-2222-1222-1-1-1-12-2-22-1-21-212-1-1-1-12-2-22-12-1-21-2122-1-1-1-1-1-1-1-12-1-1-1-1-21111-211112-1-1-1-1-21111-211110000000-2000-222001100000000011-1-1-1-1000000
χ39222-2-22-122-2-222-1222-12-1-1-12-2-2-121-21-2-12-1-1-12-2-2-12-121-21-2-1-122-1-1-1-1-1-1-12-1-1-11-21111-2111-12-1-1-11-21111-2111000000202-2-2000-1-100000-1-11111000000000000
χ40222-2-22-122-2-222-1222-12-1-1-12-2-2-121-21-2-12-1-1-12-2-2-12-121-21-2-1-122-1-1-1-1-1-1-12-1-1-11-21111-2111-12-1-1-11-21111-2111000000-20-222000110000011-1-1-1-1000000000000
χ41222-2-2-1222-2-22-122-1-1-1-12-1-1-11122-2-2-2-2-1-12-1-1-1112222-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-111-21111-211-1-12-1-111-21111-21122-1-1-1-10000000000002-2-2000000000000-1-11111
χ42222-2-2-1222-2-22-122-1-1-1-12-1-1-11122-2-2-2-2-1-12-1-1-1112222-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-111-21111-211-1-12-1-111-21111-211-2-21111000000000000-22200000000000011-1-1-1-1
χ4322-2222222-2-2-2222-2-222222-222-2-22222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000
χ4422-22222-12-2-2-222-1-2-22-1-1-1-1-222-212-12-12-1-1-1-12-2-2-212-1-21-21-2-211111111-211112-1-1-1-12-1-1-1-12-1-1-1-1-21111-211110000000000000000−i3i3000000000i3−i3−i3i3i3−i3000000
χ4522-22222-12-2-2-222-1-2-22-1-1-1-1-222-212-12-12-1-1-1-12-2-2-212-1-21-21-2-211111111-211112-1-1-1-12-1-1-1-12-1-1-1-1-21111-211110000000000000000i3−i3000000000−i3i3i3−i3−i3i3000000
χ4622-2222-122-2-2-22-12-2-2-12-1-1-1-2221-2-12-12-12-1-1-12-2-21-2-121-21-211-2-21111111-2111-12-1-1-1-12-1-1-1-12-1-1-11-21111-211100000000000000−i3i300000i3−i3−i3i3i3−i3000000000000
χ4722-2222-122-2-2-22-12-2-2-12-1-1-1-2221-2-12-12-12-1-1-12-2-21-2-121-21-211-2-21111111-2111-12-1-1-1-12-1-1-1-12-1-1-11-21111-211100000000000000i3−i300000−i3i3i3−i3−i3i3000000000000
χ4822-222-1222-2-2-2-12211-1-12-1-11-1-1-2-22222-1-12-1-1-111-2-222-2-2-2-21111-2-2111111-211-1-12-1-1-1-12-1-1-1-12-1-111-21111-2110033−3−3000000000000000000000000000−333−3−33
χ4922-222-1222-2-2-2-12211-1-12-1-11-1-1-2-22222-1-12-1-1-111-2-222-2-2-2-21111-2-2111111-211-1-12-1-1-1-12-1-1-1-12-1-111-21111-21100−3−3330000000000000000000000000003−3−333−3
χ5022-22-222-1-22-2222-1222-1-1-1-1-22-2-212-1-212-1-1-1-1-22-22-1-212-1-2122-1-1-1-1-1-1-1-1-211112-1-1-1-1-21111-211112-1-1-1-1-2111100000002000-22-200-1-100000000011-1-111000000
χ5122-22-222-1-22-2222-1222-1-1-1-1-22-2-212-1-212-1-1-1-1-22-22-1-212-1-2122-1-1-1-1-1-1-1-1-211112-1-1-1-1-21111-211112-1-1-1-1-211110000000-20002-220011000000000-1-111-1-1000000
χ5222-22-22-12-22-222-1222-12-1-1-1-22-21-2-121-2-12-1-1-1-22-2-121-2-121-2-1-122-1-1-1-1-1-11-2111-12-1-1-11-21111-2111-12-1-1-11-211100000020-22-2000-1-10000011-1-111000000000000
χ5322-22-22-12-22-222-1222-12-1-1-1-22-21-2-121-2-12-1-1-1-22-2-121-2-121-2-1-122-1-1-1-1-1-11-2111-12-1-1-11-21111-2111-12-1-1-11-2111000000-202-220001100000-1-111-1-1000000000000
χ5422-22-2-122-22-22-122-1-1-1-12-1-11-11-2-222-2-2-1-12-1-11-1122-2-222-2-2-1-1-1-122-1-1-1-111-211-1-12-1-111-21111-211-1-12-1-111-21122-1-1-1-1000000000000-22-200000000000011-1-111
χ5522-22-2-122-22-22-122-1-1-1-12-1-11-11-2-222-2-2-1-12-1-11-1122-2-222-2-2-1-1-1-122-1-1-1-111-211-1-12-1-111-21111-211-1-12-1-111-211-2-211110000000000002-22000000000000-1-111-1-1
χ5622-2-2222-1-2-22222-1222-1-1-1-1-2-22-21-212-12-1-1-1-1-2-222-1-21-212-122-1-1-1-1-1-1-1-1-21111-211112-1-1-1-1-21111-211112-1-1-1-100000002000-2-2200-1-10000000001111-1-1000000
χ5722-2-2222-1-2-22222-1222-1-1-1-1-2-22-21-212-12-1-1-1-1-2-222-1-21-212-122-1-1-1-1-1-1-1-1-21111-211112-1-1-1-1-21111-211112-1-1-1-10000000-200022-20011000000000-1-1-1-111000000
χ5822-2-222-12-2-2222-1222-12-1-1-1-2-221-21-2-12-12-1-1-1-2-22-121-21-2-12-1-122-1-1-1-1-1-11-21111-2111-12-1-1-11-21111-2111-12-1-1-100000020-2-22000-1-1000001111-1-1000000000000
χ5922-2-222-12-2-2222-1222-12-1-1-1-2-221-21-2-12-12-1-1-1-2-22-121-21-2-12-1-122-1-1-1-1-1-11-21111-2111-12-1-1-11-21111-2111-12-1-1-1000000-2022-20001100000-1-1-1-111000000000000
χ6022-2-22-122-2-222-122-1-1-1-12-1-111-1-2-2-2-222-1-12-1-111-122-2-2-2-222-1-1-1-122-1-1-1-111-21111-211-1-12-1-111-21111-211-1-12-1-122-1-1-1-1000000000000-2-220000000000001111-1-1
χ6122-2-22-122-2-222-122-1-1-1-12-1-111-1-2-2-2-222-1-12-1-111-122-2-2-2-222-1-1-1-122-1-1-1-111-21111-211-1-12-1-111-21111-211-1-12-1-1-2-2111100000000000022-2000000000000-1-1-1-111
χ6222-2-2-2222222-2222-2-222222-2-2-2-2-2-2-2-2-222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222000000000000000000000000000000000000000
χ6322-2-2-222-1222-222-1-2-22-1-1-1-1-2-2-2-21-21-212-1-1-1-1222-212-12-12-1-2-211111111-21111-21111-211112-1-1-1-12-1-1-1-12-1-1-1-10000000000000000−i3i3000000000i3−i3i3−i3−i3i3000000
χ6422-2-2-222-1222-222-1-2-22-1-1-1-1-2-2-2-21-21-212-1-1-1-1222-212-12-12-1-2-211111111-21111-21111-211112-1-1-1-12-1-1-1-12-1-1-1-10000000000000000i3−i3000000000−i3i3−i3i3i3−i3000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.