Finite Group Databasebeta

← Group #11795445

Character table — Group #11795445

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222222233444466666666666666121212121212121234444666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444412121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ92222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ102222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-22-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ11222222222-122222222-1-1-1222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
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χ13222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-2-1-1-1-111110000
χ14222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-2221111-1-1-1-10000
χ15222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000−i3−i3i3i3−i3−i3i3i30000
χ16222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000i3i3−i3−i3i3i3−i3−i30000
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χ18222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-11111-2-2-2-211112222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000i3i3−i3−i3−i3−i3i3i30000
χ1922222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
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χ2122222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
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χ2322222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122221111-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000003333−3−3−3−33333−3−3−3−30000000000000000
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χ27222-22-2-2-22222-2-222-2-222-22-2-22-2-2-22222-2-2-2-22000022-2-22-2-222-2-200000000000000002222-2-2-2-200000000000000000000000000000000000000000000000000002-200
χ28222-22-2-2-22222-2-222-2-222-22-2-22-2-2-22222-2-2-2-22000022-2-22-2-222-2-200000000000000002222-2-2-2-20000000000000000000000000000000000000000000000000000-2200
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χ30222-22-2-2-222-2-22222-2-222-22-2-22-2-2-2-2-2-2-222222000022-2-22-2-2-2-2220000000000000000-2-2-2-22222000000000000000000000000000000000000000000000000000000−2i2i
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χ3522-2-2-22-22-120000-11-112-2-21-11-22-2233−3−333−3−3-1002-2-11-111-11000033−3−30000-1-11122-2-233−3−333−3−33333−3−3−3−3-1-1-1-1111122−2−222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ3622-2-2-22-22-120000-11-112-2-21-11-22-2233−3−333−3−3-1002-2-11-111-11000033−3−30000-1-11122-2-233−3−333−3−33333−3−3−3−3-1-1-1-11111−2−222−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
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χ3822-2-2-22-22-120000-11-112-2-21-11-22-2233−3−333−3−3-100-22-11-111-110000−3−333000011-1-1-2-22233−3−333−3−3−3−3−3−333331111-1-1-1-1−2−22222−2−2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ3922-2-2-22-22-120000-11-112-2-21-11-22-22−3−333−3−333-1002-2-11-111-110000−3−3330000-1-11122-2-2−3−333−3−333−3−3−3−33333-1-1-1-1111122−2−222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ4022-2-2-22-22-120000-11-112-2-21-11-22-22−3−333−3−333-1002-2-11-111-110000−3−3330000-1-11122-2-2−3−333−3−333−3−3−3−33333-1-1-1-11111−2−222−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ4122-2-2-22-22-120000-11-112-2-21-11-22-22−3−333−3−333-100-22-11-111-11000033−3−3000011-1-1-2-222−3−333−3−3333333−3−3−3−31111-1-1-1-122−2−2−2−222ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ4222-2-2-22-22-120000-11-112-2-21-11-22-22−3−333−3−333-100-22-11-111-11000033−3−3000011-1-1-2-222−3−333−3−3333333−3−3−3−31111-1-1-1-1−2−22222−2−2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ432-22-2-2-222220000-222-2-22-2-2-22-2-2220000000022-200-222-2-2-2200002-22-222-2-2000000000000000022-2-222-2-2000000002−22−22−22−22−22−22−22−22−22−22−22−20000000000000000
χ442-22-2-2-222220000-222-2-22-2-2-22-2-2220000000022-200-222-2-2-2200002-22-222-2-2000000000000000022-2-222-2-200000000−22−22−22−22−22−22−22−22−22−22−22−220000000000000000
χ452-22-2-2-222220000-222-2-22-2-2-22-2-222000000002-2200-222-2-2-220000-22-22-2-2220000000000000000-2-222-2-222000000002−22−2−22−222−22−22−22−2−22−22−22−220000000000000000
χ462-22-2-2-222220000-222-2-22-2-2-22-2-222000000002-2200-222-2-2-220000-22-22-2-2220000000000000000-2-222-2-22200000000−22−222−22−2−22−22−22−222−22−22−22−20000000000000000
χ472-22-2-2-222-1200001-1-11-22-211-1-2-2223−33−33−33−3-12-2001-1-1111-10000-11-1122-2-23−33−300003−33−33−33−3-1-111-1-11133−3−333−3−32−22−22−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000
χ482-22-2-2-222-1200001-1-11-22-211-1-2-2223−33−33−33−3-12-2001-1-1111-10000-11-1122-2-23−33−300003−33−33−33−3-1-111-1-11133−3−333−3−3−22−22−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000
χ492-22-2-2-222-1200001-1-11-22-211-1-2-2223−33−33−33−3-1-22001-1-1111-100001-11-1-2-222−33−3300003−33−33−33−311-1-111-1-1−3−333−3−3332−22−2−22−22ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000
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χ512-22-2-2-222-1200001-1-11-22-211-1-2-222−33−33−33−33-12-2001-1-1111-10000-11-1122-2-2−33−330000−33−33−33−33-1-111-1-111−3−333−3−3332−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000000000
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χ532-22-2-2-222-1200001-1-11-22-211-1-2-222−33−33−33−33-1-22001-1-1111-100001-11-1-2-2223−33−30000−33−33−33−3311-1-111-1-133−3−333−3−32−22−2−22−22ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000000000000
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χ552-2-222-2-22222-22-2-2-222-2-222-2-22-2-222-2-222-2-2220000-2-2222-2-22-22-200000000000000002-2-222-2-2200000000000000002-2-2200002-2-222-2-22000000000000000000000000
χ562-2-222-2-22222-22-2-2-222-2-222-2-22-2-222-2-222-2-2220000-2-2222-2-22-22-200000000000000002-2-222-2-220000000000000000-222-20000-222-2-222-2000000000000000000000000
χ572-2-222-2-2222-22-22-2-222-2-222-2-22-2-22-222-2-222-220000-2-2222-2-2-22-220000000000000000-222-2-222-2000000000000000000002-2-22000000002-2-222-2-220000000000000000
χ582-2-222-2-2222-22-22-2-222-2-222-2-22-2-22-222-2-222-220000-2-2222-2-2-22-220000000000000000-222-2-222-200000000000000000000-222-200000000-222-2-222-20000000000000000
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χ83444-44-4-4-44-244-4-444-4-4-2-224-4-4-22224444-4-4-4-4-20000-2-222-222-2-2220000000000000000-2-2-2-2222200000000000000000000000000000000000000000000000000000000
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χ9144-44-4-44-44400004-4-444-44-4-44-4-44-400000000400004-4-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ9544-44-4-44-4-240000-222-24-4422-2-4-44-4−23−2323232323−23−23-20000-222-222-200000000000000000000−23−2323232323−23−2300000000000000000000000000000000000000000000000000000000
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χ10044-4-4-44-444-200004-44-4-222-44-42-22-200000000-2004-4-22-222-2200000000000044-4-4-2-2220000000000000000-2-2-2-222220000000000000000000000000000000000000000
χ10144-4-4-44-444-200004-44-4-222-44-42-22-200000000-200-44-22-222-22000000000000-4-44422-2-200000000000000002222-2-2-2-20000000000000000000000000000000000000000
χ10244-4-4-44-44-2-20000-22-22-2222-222-22-22323−23−232323−23−231004-41-11-1-11-100002323−23−230000-2-222-2-222−3−333−3−333−3−3−3−333331111-1-1-1-10000000000000000000000000000000000000000
χ10344-4-4-44-44-2-20000-22-22-2222-222-22-22323−23−232323−23−23100-441-11-1-11-10000−23−232323000022-2-222-2-2−3−333−3−3333333−3−3−3−3-1-1-1-111110000000000000000000000000000000000000000
χ10444-4-4-44-44-2-20000-22-22-2222-222-22-2−23−232323−23−2323231004-41-11-1-11-10000−23−2323230000-2-222-2-22233−3−333−3−33333−3−3−3−31111-1-1-1-10000000000000000000000000000000000000000
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χ1094-444-44-4-4-2400002-22-2-4442-22-44-4-423−2323−23−2323−2323-200002-22-22-220000000000000000000023−2323−23−2323−232300000000000000000000000000000000000000000000000000000000
χ1104-444-44-4-4-2400002-22-2-4442-22-44-4-4−2323−232323−2323−23-200002-22-22-2200000000000000000000−2323−232323−2323−2300000000000000000000000000000000000000000000000000000000
χ1114-444-44-4-4-2-200002-22-22-2-22-222-22223−2323−23−2323−232310000-11-11-11-10000000000000000−2i32i32i3−2i3−33−333−33−3−3i3i−3i3i3i−3i3i−3ii3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000000000
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χ1154-44-4-4-4444-20000-444-42-22-4-4422-2-200000000-24-4002-2-2222-200004-44-4-2-2220000000000000000-2-222-2-222000000000000000000000000000000000000000000000000
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χ1174-44-4-4-444-2-200002-2-222-2222-222-2-223−2323−2323−2323−2314-400-111-1-1-110000-22-22-2-22223−2323−230000−33−33−33−3311-1-111-1-1−3−333−3−3330000000000000000000000000000000000000000
χ1184-44-4-4-444-2-200002-2-222-2222-222-2-223−2323−2323−2323−231-4400-111-1-1-1100002-22-222-2-2−2323−23230000−33−33−33−33-1-111-1-11133−3−333−3−30000000000000000000000000000000000000000
χ1194-44-4-4-444-2-200002-2-222-2222-222-2-2−2323−2323−2323−232314-400-111-1-1-110000-22-22-2-222−2323−232300003−33−33−33−311-1-111-1-133−3−333−3−30000000000000000000000000000000000000000
χ1204-44-4-4-444-2-200002-2-222-2222-222-2-2−2323−2323−2323−23231-4400-111-1-1-1100002-22-222-2-223−2323−2300003−33−33−33−3-1-111-1-111−3−333−3−3330000000000000000000000000000000000000000
χ1214-4-444-4-444-24-44-4-4-44422-24-4-4-222-24-4-444-4-44-2000022-2-2-222-22-220000000000000000-222-2-222-200000000000000000000000000000000000000000000000000000000
χ1224-4-444-4-444-2-44-44-4-44422-24-4-4-222-2-444-4-444-4-2000022-2-2-2222-22-200000000000000002-2-222-2-2200000000000000000000000000000000000000000000000000000000
χ1234-4-444-4-44-2-24-44-422-2-222-2-222-222-2-222-2-222-210000-1-1111-1-1-22-2223−23−23230000−232323−2300001-1-111-1-11−3−33333−3−333−3−3−3−3330000000000000000000000000000000000000000
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χ1274-4-4-4444-4-244-4-442222-4-4-4-2-2-2444-4-222-22-2-22-200002222-2-2-24-4-440000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000
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χ1294-4-4-4444-4-2-24-4-442222222-2-2-2-2-2-22-222-22-2-2210000-1-1-1-1111-222-20000−2i32i3−2i32i30000−2i32i3−2i32i31-1-11-111-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000
χ1304-4-4-4444-4-2-24-4-442222222-2-2-2-2-2-22-222-22-2-2210000-1-1-1-1111-222-200002i3−2i32i3−2i300002i3−2i32i3−2i31-1-11-111-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000
χ1314-4-4-4444-4-2-2-444-42222222-2-2-2-2-2-222-2-22-222-210000-1-1-1-11112-2-220000−2i32i3−2i32i300002i3−2i32i3−2i3-111-11-1-11i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000
χ1324-4-4-4444-4-2-2-444-42222222-2-2-2-2-2-222-2-22-222-210000-1-1-1-11112-2-2200002i3−2i32i3−2i30000−2i32i3−2i32i3-111-11-1-11−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.