Finite Group Databasebeta

← Group #11897671

Character table — Group #11897671

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444412121212242424242424242424242424242436363636484848487272
order12223344446666661212121234666888812121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422444444446612121212121244441212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-11111-1-1-1-1111111-1-1-1-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-11111-1-1-1-111-1-111
χ81111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-111111111-1-111-1-1
χ9111111-1-111111111-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-111-1-111-1-11-11-11-11-11-1
χ10111111-1-111111111-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1111-1-111-1-1-11-11-11-11-11
χ11111111-1-111111111-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-111-1-111-11-111-11-1-11
χ12111111-1-111111111-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-111-1-1111-11-1-11-111-1
χ13111111-1-111111111-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-111-1-1111-1-1-1-1111-11-11-1-11-11
χ14111111-1-111111111-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-11-111-111-1-1-1-111-11-11-111-11-1
χ15111111-1-111111111-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111-11-1-11-1-11111-1-1-11-111-1-111-1
χ16111111-1-111111111-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111-1-111-1-1-11111-1-11-11-1-111-1-11
χ1722222222-2-222222222222-2222000022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000022-2-2000000
χ1822222222-2-222222222222-2222000022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000-2-222000000
χ19222222-2-2-2-2222222-2-2-2-2222220000-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000002-2-22000000
χ20222222-2-2-2-2222222-2-2-2-2222220000-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000-222-2000000
χ2122222-1222222-1-1-12-1-1-1-1-12-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-10000000000
χ2222222-1222222-1-1-12-1-1-1-1-12-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000111111110000000000
χ2322222-1222222-1-1-12-1-1-1-1-12-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-22-20000-1-1-1-111110000000000
χ2422222-1222222-1-1-12-1-1-1-1-12-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-222-2200001111-1-1-1-10000000000
χ2522222-1-2-22222-1-1-121111-1-2-1-1-122-2-2-2-211-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112222-2-20000-1-111-1-1110000000000
χ2622222-1-2-22222-1-1-121111-1-2-1-1-122-2-2-2-211-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-222000011-1-111-1-10000000000
χ2722222-1-2-22222-1-1-121111-1-2-1-1-1-2-222-2-211-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-220000-1-11111-1-10000000000
χ2822222-1-2-22222-1-1-121111-1-2-1-1-1-2-222-2-211-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2222-2000011-1-1-1-1110000000000
χ292222-122222-1-1222-12222-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-100
χ302222-122222-1-1222-12222-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000-2-2-2-2000000000000111100
χ312222-122222-1-1222-12222-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100000022-2-2000000000000-1-11100
χ322222-122222-1-1222-12222-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000-2-22200000000000011-1-100
χ332222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-122-2-211-2-21111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000002-22-2000000000000-11-1100
χ342222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-122-2-211-2-21111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000-22-220000000000001-11-100
χ352222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-1-2-22211-2-21111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000002-2-22000000000000-111-100
χ362222-12-2-222-1-1222-1-2-2-2-2-1-2-1-1-1-2-22211-2-21111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000-222-20000000000001-1-1100
χ3722-2-222002-22-22-2-2-20000202-2-22-200000000000000002-22-222-2-222-2-222-2-22222-2-2-2-200000000000000002-22-20000002-2002-2000000000000
χ3822-2-222002-22-22-2-2-20000202-2-22-200000000000000002-22-222-2-222-2-222-2-22222-2-2-2-20000000000000000-22-22000000-2200-22000000000000
χ3922-2-222002-22-22-2-2-20000202-2-2-2200000000000000002-22-222-2-2-2-222-2-222-2-2-2-2222200000000000000002-2-220000002-200-22000000000000
χ4022-2-222002-22-22-2-2-20000202-2-2-2200000000000000002-22-222-2-2-2-222-2-222-2-2-2-222220000000000000000-222-2000000-22002-2000000000000
χ4122-2-22-1002-22-2-111-233−3−3-10-1112-200003−30033−3−333−3−32-2-11-1-11122-2-2-1-111-1-1-1-11111000033−3−33333−3−3−3−32-22-2000000-113−3-113−30000000000
χ4222-2-22-1002-22-2-111-233−3−3-10-1112-200003−30033−3−333−3−32-2-11-1-11122-2-2-1-111-1-1-1-11111000033−3−33333−3−3−3−3-22-220000001-1−331-1−330000000000
χ4322-2-22-1002-22-2-111-233−3−3-10-111-2200003−30033−3−333−3−32-2-11-1-111-2-22211-1-11111-1-1-1-10000−3−333−3−3−3−333332-2-22000000-113−31-1−330000000000
χ4422-2-22-1002-22-2-111-233−3−3-10-111-2200003−30033−3−333−3−32-2-11-1-111-2-22211-1-11111-1-1-1-10000−3−333−3−3−3−33333-222-20000001-1−33-113−30000000000
χ4522-2-22-1002-22-2-111-2−3−333-10-1112-20000−3300−3−333−3−3332-2-11-1-11122-2-2-1-111-1-1-1-111110000−3−333−3−3−3−333332-22-2000000-11−33-11−330000000000
χ4622-2-22-1002-22-2-111-2−3−333-10-1112-20000−3300−3−333−3−3332-2-11-1-11122-2-2-1-111-1-1-1-111110000−3−333−3−3−3−33333-22-220000001-13−31-13−30000000000
χ4722-2-22-1002-22-2-111-2−3−333-10-111-220000−3300−3−333−3−3332-2-11-1-111-2-22211-1-11111-1-1-1-1000033−3−33333−3−3−3−32-2-22000000-11−331-13−30000000000
χ4822-2-22-1002-22-2-111-2−3−333-10-111-220000−3300−3−333−3−3332-2-11-1-111-2-22211-1-11111-1-1-1-1000033−3−33333−3−3−3−3-222-20000001-13−3-11−330000000000
χ4944444-244-4-444-2-2-24-2-2-2-2-2-4-2-2-200004422-4-4-2-2-2-22222-4-4222222000000000000000000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-444-2-2-242222-24-2-2-20000-4-4-2-2442222-2-2-2-2-4-4222222000000000000000000000000000000000000000000000000000000000000
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χ524444-24-4-4-4-4-2-2444-2-4-4-4-4-24-2-2-200002244-2-22222-2-2-2-222-4-42222000000000000000000000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-2-2-2-2-2141114444-2-2-2-2-2-211111111-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ544444-2-24444-2-2-2-2-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-41110000-2-222221111-1-1-1-12222-1-1-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i0000000000000000000000000000
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χ574444-2-2-4-444-2-2-2-2-2-222221-411144-4-4222222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-222221-4111-4-444222222-1-1-1-1-1-1-1-1-2-2-2-2111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-2222214111000022-2-2-2-2-1-1-1-111112222-1-1-1-1000000003i3i−3i−3i3i3i−3i−3i00000000−3i−3i3i3i−3i−3i3i3i0000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-2222214111000022-2-2-2-2-1-1-1-111112222-1-1-1-100000000−3i−3i3i3i−3i−3i3i3i000000003i3i−3i−3i3i3i−3i−3i0000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.