Finite Group Databasebeta

← Group #13150630

Character table — Group #13150630

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11112222222222666666661212121212121212121212121818181818181818181818183636363636363636363636361111222222222266666666121212121212121212121212181818181818181818181818363636363636363636363636
order122234466612121212336666663666121212121212121244441212121212121212244466121212121212222264466612121212666666666666121212121212121244441212121212121212244466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ511111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-111
χ611111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1
χ711111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-111-1-111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-111-1-1
χ811111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-1-11111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-1-111
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χ1122222222222222-12-122-12-1-1-1-1-122-1-1-1-1-1-100000000000002020000-1-1-1-122222222222222-12-122-12-1-1-1-1-122-1-1-1-1-1-100000000000002020000-1-1-1-1
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χ1522222-2-2222-2-2-2-2-12-122-12-1-1-1-1-1-2-2111111000000000000020-2000011-1-122222-2-2222-2-2-2-2-12-122-12-1-1-1-1-1-2-2111111000000000000020-2000011-1-1
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χ591111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ601111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ611111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-11111
χ621111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-11111-1-1-1-1
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χ6511111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-111-1-1-111-1-111
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χ822-2-2222i−2i-2-222i2i−2i−2i-1212-2-1-21-11-112i−2i−ii−i−iii00000000000000000000−i3i33−3-222-2-2−2i2i22-2−2i−2i2i2i1-2-1-2212-11-11-1−2i2ii−iii−i−i00000000000000000000i3−i3−33
χ832-2-2222i−2i-2-222i2i−2i−2i-1212-2-1-21-11-112i−2i−ii−i−iii00000000000000000000i3−i3−33-222-2-2−2i2i22-2−2i−2i2i2i1-2-1-2212-11-11-1−2i2ii−iii−i−i00000000000000000000−i3i33−3
χ842-2-222−2i2i-2-22−2i−2i2i2i22-22-22-2-22-22-2−2i2i−2i2i−2i−2i2i2i000000000000000000000000-222-2-22i−2i22-22i2i−2i−2i-2-22-22-222-22-222i−2i2i−2i2i2i−2i−2i000000000000000000000000
χ852-2-222−2i2i-2-22−2i−2i2i2i2-1-2-1121-2-11-11i−i−2i2iii−i−i0000000000000000−i3i3−330000-222-2-22i−2i22-22i2i−2i−2i-2121-1-2-121-11-1−ii2i−2i−i−iii0000000000000000i3−i33−30000
χ862-2-222−2i2i-2-22−2i−2i2i2i2-1-2-1121-2-11-11i−i−2i2iii−i−i0000000000000000i3−i33−30000-222-2-22i−2i22-22i2i−2i−2i-2121-1-2-121-11-1−ii2i−2i−i−iii0000000000000000−i3i3−330000
χ872-2-222−2i2i-2-22−2i−2i2i2i-1212-2-1-21-11-11−2i2ii−iii−i−i00000000000000000000−i3i3−33-222-2-22i−2i22-22i2i−2i−2i1-2-1-2212-11-11-12i−2i−ii−i−iii00000000000000000000i3−i33−3
χ882-2-222−2i2i-2-22−2i−2i2i2i-1212-2-1-21-11-11−2i2ii−iii−i−i00000000000000000000i3−i33−3-222-2-22i−2i22-22i2i−2i−2i1-2-1-2212-11-11-12i−2i−ii−i−iii00000000000000000000−i3i3−33
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
χ9144-4-44004-4-400004-2-42-2-424-222-200000000000000000000000000000000-4-444-400-4440000-424-224-2-42-2-2200000000000000000000000000000000
χ9244-4-44004-4-40000-242-442-4-2-222-200000000000000000000000000000000-4-444-400-44400002-4-24-4-2422-2-2200000000000000000000000000000000
χ9344-4-44004-4-40000-2-222-222-21-1-1100003-33-3000000000000000000000000-4-444-400-444000022-2-22-2-22-111-10000-33-33000000000000000000000000
χ9444-4-44004-4-40000-2-222-222-21-1-110000-33-33000000000000000000000000-4-444-400-444000022-2-22-2-22-111-100003-33-3000000000000000000000000
χ954-44-4400-44-400004-2422-4-2-4-2-22200000000000000000000000000000000-44-44-4004-440000-42-4-2-242422-2-200000000000000000000000000000000
χ964-44-4400-44-40000-24-2-4-4242-2-22200000000000000000000000000000000-44-44-4004-4400002-4244-2-4-222-2-200000000000000000000000000000000
χ974-44-4400-44-40000-2-2-2222-2211-1-100003i−3i−3i3i000000000000000000000000-44-44-4004-440000222-2-2-22-2-1-1110000−3i3i3i−3i000000000000000000000000
χ984-44-4400-44-40000-2-2-2222-2211-1-10000−3i3i3i−3i000000000000000000000000-44-44-4004-440000222-2-2-22-2-1-11100003i−3i−3i3i000000000000000000000000
χ994-4-4444i−4i-4-444i4i−4i−4i-2-22-22-2221-11-1−2i2i−2i2iii−i−i000000000000000000000000-444-4-4−4i4i44-4−4i−4i4i4i22-22-22-2-2-11-112i−2i2i−2i−i−iii000000000000000000000000
χ1004-4-444−4i4i-4-44−4i−4i4i4i-2-22-22-2221-11-12i−2i2i−2i−i−iii000000000000000000000000-444-4-44i−4i44-44i4i−4i−4i22-22-22-2-2-11-11−2i2i−2i2iii−i−i000000000000000000000000
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
χ10566-6-6-300-333−3i33i3−3i33i300000000000000000000002i−2i3−33−3−i−iii000000000000-6-6663003-3-33i3−3i33i3−3i30000000000000000000000−2i2i−33−33ii−i−i000000000000
χ10666-6-6-300-333−3i33i3−3i33i30000000000000000000000−2i2i−33−33ii−i−i000000000000-6-6663003-3-33i3−3i33i3−3i300000000000000000000002i−2i3−33−3−i−iii000000000000
χ10766-6-6-300-3333i3−3i33i3−3i300000000000000000000002i−2i−33−33−i−iii000000000000-6-6663003-3-3−3i33i3−3i33i30000000000000000000000−2i2i3−33−3ii−i−i000000000000
χ10866-6-6-300-3333i3−3i33i3−3i30000000000000000000000−2i2i3−33−3ii−i−i000000000000-6-6663003-3-3−3i33i3−3i33i300000000000000000000002i−2i−33−33−i−iii000000000000
χ1096-66-6-3003-3333−33−3333000000000000000000002i−2i00−i−iii−i3i3−i3i3000000000000-66-66300-33-3−333333−3300000000000000000000−2i2i00ii−i−ii3−i3i3−i3000000000000
χ1106-66-6-3003-3333−33−333300000000000000000000−2i2i00ii−i−ii3−i3i3−i3000000000000-66-66300-33-3−333333−33000000000000000000002i−2i00−i−iii−i3i3−i3i3000000000000
χ1116-66-6-3003-33−333333−33000000000000000000002i−2i00−i−iiii3−i3i3−i3000000000000-66-66300-33-333−33−333300000000000000000000−2i2i00ii−i−i−i3i3−i3i3000000000000
χ1126-66-6-3003-33−333333−3300000000000000000000−2i2i00ii−i−i−i3i3−i3i3000000000000-66-66300-33-333−33−3333000000000000000000002i−2i00−i−iiii3−i3i3−i3000000000000
χ1136-6-66-36i−6i33-3−3i−3i3i3i000000000000000000000000−i3i3i3−i3−333−3000000000000-666-63−6i6i-3-333i3i−3i−3i000000000000000000000000i3−i3−i3i33−3−33000000000000
χ1146-6-66-36i−6i33-3−3i−3i3i3i000000000000000000000000i3−i3−i3i33−3−33000000000000-666-63−6i6i-3-333i3i−3i−3i000000000000000000000000−i3i3i3−i3−333−3000000000000
χ1156-6-66-3−6i6i33-33i3i−3i−3i000000000000000000000000−i3i3i3−i33−3−33000000000000-666-636i−6i-3-33−3i−3i3i3i000000000000000000000000i3−i3−i3i3−333−3000000000000
χ1166-6-66-3−6i6i33-33i3i−3i−3i000000000000000000000000i3−i3−i3i3−333−3000000000000-666-636i−6i-3-33−3i−3i3i3i000000000000000000000000−i3i3i3−i33−3−33000000000000

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