Finite Group Databasebeta

← Group #13150657

Character table — Group #13150657

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
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χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ511111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-1-1-11111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-1-1-111
χ611111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-11111-1-111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-11111-1-1
χ711111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1
χ811111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111
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χ822-22-22−2i2i-22-2−2i−2i2i2i22-2-222-2-22-22-2−2i2i−2i2i−2i−2i2i2i000000000000000000000000-22-22-22i−2i2-222i2i−2i−2i-2-222-2-222-22-222i−2i2i−2i2i2i−2i−2i000000000000000000000000
χ832-22-22−2i2i-22-2−2i−2i2i2i2-1-212-1-21-11-11−2i2ii−iii−i−i000000000000000000−i3i300−33-22-22-22i−2i2-222i2i−2i−2i-212-1-212-11-11-12i−2i−ii−i−iii000000000000000000i3−i3003−3
χ842-22-22−2i2i-22-2−2i−2i2i2i2-1-212-1-21-11-11−2i2ii−iii−i−i000000000000000000i3−i3003−3-22-22-22i−2i2-222i2i−2i−2i-212-1-212-11-11-12i−2i−ii−i−iii000000000000000000−i3i300−33
χ852-22-22−2i2i-22-2−2i−2i2i2i-121-2-121-2-11-11i−i−2i2iii−i−i0000000000000000−i3i300−3300-22-22-22i−2i2-222i2i−2i−2i1-2-121-2-121-11-1−ii2i−2i−i−iii0000000000000000i3−i3003−300
χ862-22-22−2i2i-22-2−2i−2i2i2i-121-2-121-2-11-11i−i−2i2iii−i−i0000000000000000i3−i3003−300-22-22-22i−2i2-222i2i−2i−2i1-2-121-2-121-11-1−ii2i−2i−i−iii0000000000000000−i3i300−3300
χ872-2-22200-2-22000022-2-2-2-2222-2-2200000000002-2000022-2-2000000000000-222-2-20022-20000-2-22222-2-2-222-20000000000-220000-2-222000000000000
χ882-2-22200-2-22000022-2-2-2-2222-2-220000000000-220000-2-222000000000000-222-2-20022-20000-2-22222-2-2-222-200000000002-2000022-2-2000000000000
χ8944444444444444-2-2-2-2-2-2-2-21111-2-2-2-21111000000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4-4-422222222-1-1-1-12222-1-1-1-1000000000000000000000000
χ9044444-4-4444-4-4-4-4-2-2-2-2-2-2-2-211112222-1-1-1-1000000000000000000000000-4-4-4-4-444-4-4-4444422222222-1-1-1-1-2-2-2-21111000000000000000000000000
χ9144-4-44004-4-400004-24-2-42-42-2-22200000000000000000000000000000000-4-444-400-4440000-42-424-24-222-2-200000000000000000000000000000000
χ9244-4-44004-4-40000-24-242-42-4-2-22200000000000000000000000000000000-4-444-400-44400002-42-4-24-2422-2-200000000000000000000000000000000
χ9344-4-44004-4-40000-2-2-2-2222211-1-100003i−3i3i−3i000000000000000000000000-4-444-400-44400002222-2-2-2-2-1-1110000−3i3i−3i3i000000000000000000000000
χ9444-4-44004-4-40000-2-2-2-2222211-1-10000−3i3i−3i3i000000000000000000000000-4-444-400-44400002222-2-2-2-2-1-11100003i−3i3i−3i000000000000000000000000
χ954-44-444i−4i-44-44i4i−4i−4i-2-222-2-2221-11-1−2i2i−2i2iii−i−i000000000000000000000000-44-44-4−4i4i4-44−4i−4i4i4i22-2-222-2-2-11-112i−2i2i−2i−i−iii000000000000000000000000
χ964-44-44−4i4i-44-4−4i−4i4i4i-2-222-2-2221-11-12i−2i2i−2i−i−iii000000000000000000000000-44-44-44i−4i4-444i4i−4i−4i22-2-222-2-2-11-11−2i2i−2i2iii−i−i000000000000000000000000
χ974-4-44400-4-4400004-2-42-424-2-222-200000000000000000000000000000000-444-4-40044-40000-424-24-2-422-2-2200000000000000000000000000000000
χ984-4-44400-4-440000-242-42-4-24-222-200000000000000000000000000000000-444-4-40044-400002-4-24-242-42-2-2200000000000000000000000000000000
χ994-4-44400-4-440000-2-22222-2-21-1-1100003-3-33000000000000000000000000-444-4-40044-4000022-2-2-2-222-111-10000-333-3000000000000000000000000
χ1004-4-44400-4-440000-2-22222-2-21-1-110000-333-3000000000000000000000000-444-4-40044-4000022-2-2-2-222-111-100003-3-33000000000000000000000000
χ1016666-366-3-3-3-3-3-3-3000000000000000000002222-1-1-1-1-1-1-1-1000000000000-6-6-6-63-6-6333333300000000000000000000-2-2-2-211111111000000000000
χ1026666-366-3-3-3-3-3-3-300000000000000000000-2-2-2-211111111000000000000-6-6-6-63-6-63333333000000000000000000002222-1-1-1-1-1-1-1-1000000000000
χ1036666-3-6-6-3-3-333330000000000000000000022-2-2-1-1-1-11111000000000000-6-6-6-6366333-3-3-3-300000000000000000000-2-2221111-1-1-1-1000000000000
χ1046666-3-6-6-3-3-3333300000000000000000000-2-2221111-1-1-1-1000000000000-6-6-6-6366333-3-3-3-30000000000000000000022-2-2-1-1-1-11111000000000000
χ10566-6-6-300-33333−3333−33000000000000000000002-200-1-1113−33−3000000000000-6-6663003-3-3−3333−333300000000000000000000-220011-1-1−33−33000000000000
χ10666-6-6-300-33333−3333−3300000000000000000000-220011-1-1−33−33000000000000-6-6663003-3-3−3333−3333000000000000000000002-200-1-1113−33−3000000000000
χ10766-6-6-300-333−3333−3333000000000000000000002-200-1-111−33−33000000000000-6-6663003-3-333−3333−3300000000000000000000-220011-1-13−33−3000000000000
χ10866-6-6-300-333−3333−333300000000000000000000-220011-1-13−33−3000000000000-6-6663003-3-333−3333−33000000000000000000002-200-1-111−33−33000000000000
χ1096-66-6-36i−6i3-33−3i−3i3i3i000000000000000000000000−i3i3−i3i33−3−33000000000000-66-663−6i6i-33-33i3i−3i−3i000000000000000000000000i3−i3i3−i3−333−3000000000000
χ1106-66-6-36i−6i3-33−3i−3i3i3i000000000000000000000000i3−i3i3−i3−333−3000000000000-66-663−6i6i-33-33i3i−3i−3i000000000000000000000000−i3i3−i3i33−3−33000000000000
χ1116-66-6-3−6i6i3-333i3i−3i−3i000000000000000000000000−i3i3−i3i3−333−3000000000000-66-6636i−6i-33-3−3i−3i3i3i000000000000000000000000i3−i3i3−i33−3−33000000000000
χ1126-66-6-3−6i6i3-333i3i−3i−3i000000000000000000000000i3−i3i3−i33−3−33000000000000-66-6636i−6i-33-3−3i−3i3i3i000000000000000000000000−i3i3−i3i3−333−3000000000000
χ1136-6-66-30033-3−3i33i33i3−3i300000000000000000000002-2−i3i3i3−i3-1-111000000000000-666-6300-3-333i3−3i3−3i33i30000000000000000000000-22i3−i3−i3i311-1-1000000000000
χ1146-6-66-30033-3−3i33i33i3−3i30000000000000000000000-22i3−i3−i3i311-1-1000000000000-666-6300-3-333i3−3i3−3i33i300000000000000000000002-2−i3i3i3−i3-1-111000000000000
χ1156-6-66-30033-33i3−3i3−3i33i300000000000000000000002-2i3−i3−i3i3-1-111000000000000-666-6300-3-33−3i33i33i3−3i30000000000000000000000-22−i3i3i3−i311-1-1000000000000
χ1166-6-66-30033-33i3−3i3−3i33i30000000000000000000000-22−i3i3i3−i311-1-1000000000000-666-6300-3-33−3i33i33i3−3i300000000000000000000002-2i3−i3−i3i3-1-111000000000000

Here i is the imaginary unit (i² = −1).