Finite Group Databasebeta

← Group #72242623

Character table — Group #72242623

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222444444448888888888888888888888888888888888888888888820202020202020202525252525252525252525255050505050505050505050505050505050508080808080808080100100100100100100100100
order1222448888551010101010105510101010101020202020202020202020202040404040404040404040404040404040404040404040404044444444222244444444444444888888888888202020202020202044444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1iiii−i−i−i−i-1ii−i−i-1-1-1-1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ41111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1−i−i−i−iiiii-1−i−iii-1-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ511111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1iiii−i−i−i−i-1ii−i−i-1-1-1-1-1iiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ611111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1−i−i−i−iiiii-1−i−iii-1-1-1-1-1−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ711111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ10111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ11111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1iiii−i−i−i−i-1ii−i−i-11111−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ12111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1−i−i−i−iiiii-1−i−iii-11111iiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ13111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i-1ii−i−i-11111−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ14111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii-1−i−iii-11111iiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ15111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ16111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ171-1-111-1ii−i−i11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−ii−ii−i1-11-11-11-1ii−i−iii−i−i-1i−ii−i1ii−i−i11-1-111-1-1i−ii−i1-11-11-11-1i−ii−i
χ181-1-111-1ii−i−i11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−ii−ii−i1-11-11-11-1−i−iii−i−iii-1−ii−ii1ii−i−i-1-111-1-111i−ii−i1-11-1-11-11−ii−ii
χ191-1-111-1ii−i−i11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−ii−i−ii1-1-11-11-1111-1-1-1-11111-1-11-1−i−iii−i−iiiii−i−ii−i−ii1-1-11−iii−i1-1-11
χ201-1-111-1ii−i−i11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−ii−i−ii1-1-11-11-11-1-11111-1-11-111-1-1−i−iiiii−i−i−i−iiii−i−ii1-1-11i−i−ii-111-1
χ211-1-111-1ii−i−i11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−iii−i-111-1-11-1111-1-1-1-11111-1-11-1−i−iii−i−iiiii−i−i−iii−i-111-1i−i−ii-111-1
χ221-1-111-1ii−i−i11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−iii−i-111-1-11-11-1-11111-1-11-111-1-1−i−iiiii−i−i−i−iii−iii−i-111-1−iii−i1-1-11
χ231-1-111-1ii−i−i11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii-11-111-11-1ii−i−iii−i−i-1i−ii−i1ii−i−i11-1-111-1-1−ii−ii-11-11-11-11−ii−ii
χ241-1-111-1ii−i−i11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii-11-111-11-1−i−iii−i−iii-1−ii−ii1ii−i−i-1-111-1-111−ii−ii-11-111-11-1i−ii−i
χ251-1-111-1−i−iii11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiii−ii−i-11-111-11-1ii−i−iii−i−i-1i−ii−i1−i−iii-1-111-1-111i−ii−i-11-111-11-1−ii−ii
χ261-1-111-1−i−iii11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiii−ii−i-11-111-11-1−i−iii−i−iii-1−ii−ii1−i−iii11-1-111-1-1i−ii−i-11-11-11-11i−ii−i
χ271-1-111-1−i−iii11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiii−i−ii-111-1-11-1111-1-1-1-11111-1-11-1ii−i−iii−i−i−i−iiii−i−ii-111-1−iii−i-111-1
χ281-1-111-1−i−iii11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiii−i−ii-111-1-11-11-1-11111-1-11-111-1-1ii−i−i−i−iiiii−i−ii−i−ii-111-1i−i−ii1-1-11
χ291-1-111-1−i−iii11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−iii−i1-1-11-11-1111-1-1-1-11111-1-11-1ii−i−iii−i−i−i−iii−iii−i1-1-11i−i−ii1-1-11
χ301-1-111-1−i−iii11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−iii−i1-1-11-11-11-1-11111-1-11-111-1-1ii−i−i−i−iiiii−i−i−iii−i1-1-11−iii−i-111-1
χ311-1-111-1−i−iii11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−ii−ii1-11-11-11-1ii−i−iii−i−i-1i−ii−i1−i−iii-1-111-1-111−ii−ii1-11-1-11-11i−ii−i
χ321-1-111-1−i−iii11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−ii−ii1-11-11-11-1−i−iii−i−iii-1−ii−ii1−i−iii11-1-111-1-1−ii−ii1-11-11-11-1−ii−ii
χ332222-2-200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000222222222222-2-2-2-2-2-20000000000000000000000000000
χ342222-2-200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-2-2-2-2-2-22222-20000000000000000000000000000
χ352222-2-200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-22i2i2i2i−2i−2i−2i−2i2−2i−2i2i2i20000000000000000000000000000
χ362222-2-200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2−2i−2i−2i−2i2i2i2i2i22i2i−2i−2i20000000000000000000000000000
χ3722-2-2002−22−22222-2-2-2-22222-2-2-2-2000000000000222222−2−2−2−2−2−2222222−2−2−2−2−2−20000000022-2-22-22-22-22-20000002−22−22−22−22−22−20000000000000000
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χ4122-2-200−22−222222-2-2-2-22222-2-2-2-2000000000000−2−2−2−2−2−2222222−2−2−2−2−2−22222220000000022-2-22-22-22-22-2000000−22−22−22−22−22−220000000000000000
χ4222-2-200−22−222222-2-2-2-22222-2-2-2-2000000000000−2−2−2−2−2−2222222−2−2−2−2−2−22222220000000022-2-2-22-22-22-22000000−22−222−22−22−22−20000000000000000
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χ604444444444-14-14-14-14-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-4-400-4-4000000000000000000000000000000001100110000000000
χ61444444-4-4-4-44-14-14-14-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-1-1-411111-411111-411111-411111004400-4-400000000000000000000000000000000-1-1001100000000
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χ64444444-4-4-4-4-14-14-14-14-1-1-1-1-1-1-1-1-14-1-1-1-1-14-1-1-1-11-411111-411111-411111-41111-4-40044000000000000000000000000000000001100-1-10000000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.