Finite Group Databasebeta

← Group #10801777

Character table — Group #10801777

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222222222222222222222224444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order12222222344444444444466666668888888812121212121212128888121212121212121224242424242424242424242424242424224444446666121212121212121212121212224444448888888822444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ911111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ1211111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1311111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1411111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1511111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1611111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1711-11-1-11-111-1ii−i−iii−i−i1-11-11-11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−ii−i1-111-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i11-1-1ii−i−i1-1i−i1-1i−i
χ1811-11-1-11-111-1ii−i−iii−i−i1-11-11-11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−ii−i1-111-1-111-1-1ii−i−iii−i−i-11-11−ii−ii-1-111−i−iii-11−ii-11−ii
χ1911-11-1-11-111-1ii−i−iii−i−i1-11-11-11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i-11−ii−ii-11-1-111-1-111−i−iii−i−iii1-11-1i−ii−i11-1-1ii−i−i-11−ii-11−ii
χ2011-11-1-11-111-1ii−i−iii−i−i1-11-11-11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i-11−ii−ii-11-1-111-1-111−i−iii−i−iii-11-11−ii−ii-1-111−i−iii1-1i−i1-1i−i
χ2111-11-1-11-111-1ii−i−iii−i−i1-11-11-11-1-1-1-1-1-11111iiii−i−i−i−i−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1−iii−i-1111-1-1-1-111−i−iiiii−i−i1-11-1i−ii−i-1-111−i−iii-11i−i1-1−ii
χ2211-11-1-11-111-1ii−i−iii−i−i1-11-11-11-1-1-1-1-1-11111iiii−i−i−i−i−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1−iii−i-1111-1-1-1-111−i−iiiii−i−i-11-11−ii−ii11-1-1ii−i−i1-1−ii-11i−i
χ2311-11-1-11-111-1ii−i−iii−i−i1-11-11-11-1-1-1-1-1-11111iiii−i−i−i−i−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii-11i−i−ii1-1-1-11111-1-1ii−i−i−i−iii1-11-1i−ii−i-1-111−i−iii1-1−ii-11i−i
χ2411-11-1-11-111-1ii−i−iii−i−i1-11-11-11-1-1-1-1-1-11111iiii−i−i−i−i−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii-11i−i−ii1-1-1-11111-1-1ii−i−i−i−iii-11-11−ii−ii11-1-1ii−i−i-11i−i1-1−ii
χ2511-11-1-11-111-1−i−iii−i−iii1-11-11-11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii−ii1-111-1-111-1-1−i−iii−i−iii1-11-1−ii−ii11-1-1−i−iii1-1−ii1-1−ii
χ2611-11-1-11-111-1−i−iii−i−iii1-11-11-11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii−ii1-111-1-111-1-1−i−iii−i−iii-11-11i−ii−i-1-111ii−i−i-11i−i-11i−i
χ2711-11-1-11-111-1−i−iii−i−iii1-11-11-11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii-11i−ii−i-11-1-111-1-111ii−i−iii−i−i1-11-1−ii−ii11-1-1−i−iii-11i−i-11i−i
χ2811-11-1-11-111-1−i−iii−i−iii1-11-11-11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii-11i−ii−i-11-1-111-1-111ii−i−iii−i−i-11-11i−ii−i-1-111ii−i−i1-1−ii1-1−ii
χ2911-11-1-11-111-1−i−iii−i−iii1-11-11-11-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i1-1i−i−ii-1111-1-1-1-111ii−i−i−i−iii1-11-1−ii−ii-1-111ii−i−i-11−ii1-1i−i
χ3011-11-1-11-111-1−i−iii−i−iii1-11-11-11-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i1-1i−i−ii-1111-1-1-1-111ii−i−i−i−iii-11-11i−ii−i11-1-1−i−iii1-1i−i-11−ii
χ3111-11-1-11-111-1−i−iii−i−iii1-11-11-11-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i-11−iii−i1-1-1-11111-1-1−i−iiiii−i−i1-11-1−ii−ii-1-111ii−i−i1-1i−i-11−ii
χ3211-11-1-11-111-1−i−iii−i−iii1-11-11-11-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i-11−iii−i1-1-1-11111-1-1−i−iiiii−i−i-11-11i−ii−i11-1-1−i−iii-11−ii1-1i−i
χ33222222222-2-22222-2-2-2-2-2-2222222200000000222222220000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022-2-2-2-2220000000000000000
χ34222222222-2-22222-2-2-2-2-2-2222222200000000222222220000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-22222-2-20000000000000000
χ35222222222-2-2-2-2-2-22222-2-2222222200000000-2-2-2-2-2-2-2-20000-2-22222-2-2000000000000000000000000000000000000000022-2-222-2-20000000000000000
χ36222222222-2-2-2-2-2-22222-2-2222222200000000-2-2-2-2-2-2-2-20000-2-22222-2-20000000000000000000000000000000000000000-2-222-2-2220000000000000000
χ3722222222-1222222222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3822222222-1222222222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ3922222222-1222222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-2-2-1-1-1-111111111-1-1-1-1000000000000000000000000
χ4022222222-1222222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-2221111-1-1-1-1-1-1-1-11111000000000000000000000000
χ4122222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-12222222211111111-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-1-1-1-1-111111111000000000000000000000000
χ4222222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-12222222211111111-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-22222-2-211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ4322222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111112222-1-11111-1-111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ4422222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111112222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ4522-22-2-22-22-222i2i−2i−2i−2i−2i2i2i-222-22-22-2-2000000002i2i2i2i−2i−2i−2i−2i0000-22−2i−2i2i2i-2200000000000000000000000000000000000000002-2-22−2i2i2i−2i0000000000000000
χ4622-22-2-22-22-222i2i−2i−2i−2i−2i2i2i-222-22-22-2-2000000002i2i2i2i−2i−2i−2i−2i0000-22−2i−2i2i2i-220000000000000000000000000000000000000000-222-22i−2i−2i2i0000000000000000
χ4722-22-2-22-22-22−2i−2i2i2i2i2i−2i−2i-222-22-22-2-200000000−2i−2i−2i−2i2i2i2i2i0000-222i2i−2i−2i-2200000000000000000000000000000000000000002-2-222i−2i−2i2i0000000000000000
χ4822-22-2-22-22-22−2i−2i2i2i2i2i−2i−2i-222-22-22-2-200000000−2i−2i−2i−2i2i2i2i2i0000-222i2i−2i−2i-220000000000000000000000000000000000000000-222-2−2i2i2i−2i0000000000000000
χ4922-22-2-22-2-12-22i2i−2i−2i2i2i−2i−2i2-2-11-11-1112222-2-2-2-2−i−i−i−iiiii2i2i−2i−2i-11−i−iii-11-1-1-1-11111−i−i−i−iiiii2-22i−2i2i−2i2-2-1-111-1-111−i−iii−i−iii000000000000000000000000
χ5022-22-2-22-2-12-22i2i−2i−2i2i2i−2i−2i2-2-11-11-1112222-2-2-2-2−i−i−i−iiiii2i2i−2i−2i-11−i−iii-11-1-1-1-11111−i−i−i−iiiii-22−2i2i−2i2i-2211-1-111-1-1ii−i−iii−i−i000000000000000000000000
χ5122-22-2-22-2-12-22i2i−2i−2i2i2i−2i−2i2-2-11-11-111-2-2-2-22222−i−i−i−iiiii−2i−2i2i2i-11−i−iii-111111-1-1-1-1iiii−i−i−i−i2-2−2i2i2i−2i-22-1-11111-1-1ii−i−i−i−iii000000000000000000000000
χ5222-22-2-22-2-12-22i2i−2i−2i2i2i−2i−2i2-2-11-11-111-2-2-2-22222−i−i−i−iiiii−2i−2i2i2i-11−i−iii-111111-1-1-1-1iiii−i−i−i−i-222i−2i−2i2i2-211-1-1-1-111−i−iiiii−i−i000000000000000000000000
χ5322-22-2-22-2-12-2−2i−2i2i2i−2i−2i2i2i2-2-11-11-1112222-2-2-2-2iiii−i−i−i−i−2i−2i2i2i-11ii−i−i-11-1-1-1-11111iiii−i−i−i−i2-2−2i2i−2i2i2-2-1-111-1-111ii−i−iii−i−i000000000000000000000000
χ5422-22-2-22-2-12-2−2i−2i2i2i−2i−2i2i2i2-2-11-11-1112222-2-2-2-2iiii−i−i−i−i−2i−2i2i2i-11ii−i−i-11-1-1-1-11111iiii−i−i−i−i-222i−2i2i−2i-2211-1-111-1-1−i−iii−i−iii000000000000000000000000
χ5522-22-2-22-2-12-2−2i−2i2i2i−2i−2i2i2i2-2-11-11-111-2-2-2-22222iiii−i−i−i−i2i2i−2i−2i-11ii−i−i-111111-1-1-1-1−i−i−i−iiiii2-22i−2i−2i2i-22-1-11111-1-1−i−iiiii−i−i000000000000000000000000
χ5622-22-2-22-2-12-2−2i−2i2i2i−2i−2i2i2i2-2-11-11-111-2-2-2-22222iiii−i−i−i−i2i2i−2i−2i-11ii−i−i-111111-1-1-1-1−i−i−i−iiiii-22−2i2i2i−2i2-211-1-1-1-111ii−i−i−i−iii000000000000000000000000
χ572-2222-2-2-222-22i−2i2i−2i2i−2i2i−2i-22-222-2-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2-22-22-22i−2i2i−2i-222i2i−2i−2i2i2i−2i−2i22-2-222-2-2000000000000000000000000000000000000000000000000
χ582-2222-2-2-222-22i−2i2i−2i2i−2i2i−2i-22-222-2-22-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-22-222-22i−2i2i−2i-22−2i−2i2i2i−2i−2i2i2i-2-222-2-222000000000000000000000000000000000000000000000000
χ592-2222-2-2-222-2−2i2i−2i2i−2i2i−2i2i-22-222-2-22-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-22-222-2−2i2i−2i2i-222i2i−2i−2i2i2i−2i−2i-2-222-2-222000000000000000000000000000000000000000000000000
χ602-2222-2-2-222-2−2i2i−2i2i−2i2i−2i2i-22-222-2-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2-22-22-2−2i2i−2i2i-22−2i−2i2i2i−2i−2i2i2i22-2-222-2-2000000000000000000000000000000000000000000000000
χ612-2222-2-2-22-222i−2i2i−2i−2i2i−2i2i2-2-222-2-22-2000000002i2i−2i−2i2i2i−2i−2i0000-22−2i2i−2i2i2-20000000000000000000000000000000000000000000000002-22-22i−2i2i−2i00000000
χ622-2222-2-2-22-222i−2i2i−2i−2i2i−2i2i2-2-222-2-22-2000000002i2i−2i−2i2i2i−2i−2i0000-22−2i2i−2i2i2-2000000000000000000000000000000000000000000000000-22-22−2i2i−2i2i00000000
χ632-2222-2-2-22-22−2i2i−2i2i2i−2i2i−2i2-2-222-2-22-200000000−2i−2i2i2i−2i−2i2i2i0000-222i−2i2i−2i2-20000000000000000000000000000000000000000000000002-22-2−2i2i−2i2i00000000
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Here i is the imaginary unit (i² = −1).