Finite Group Databasebeta

← Group #13167969

Character table — Group #13167969

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order12223336666666663334666666666121244444436661212121212121212121212122222244121212121212121212121212121212124444666666661212121212121212121212124441212121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111111111111111111111-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-111-111-1-11111-1-1-1-1111111-1-1-1-1-1-111111-1111111-1-1-1-1-11-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11-1-1-1-11111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-11-11-1-111-1-1-1-111111111-1-111-1-1-1-11111-1111-1-1-1-11111-1-11-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-11-1-1-111-1-1111-11
χ71111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1111111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-1-1-1-1-1-1-1111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-111111-1-1-1-1-111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-1-1-11111-111-1-111111-1-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-11-111-1-11111-1-111-111-1-111-1-11-11
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-11111-1-11-111111-1-111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-111-111-1-1-1-1-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-111-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-11
χ17222222-1-12222-122-1-1-122-1-12-1-122-1-1-1-1222200-1-1-1-12222-1-1-1-1-1-1-1-122220222222-1-1-1-1-1-1-1-100000000-1-1-1-100002200-1-1-1-1-1-1-1-1200-1-1000000000
χ18222222-1-12222-122-1-1-122-1-12-1-122-1-1-1-122-2-200-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-202-222-2-2-1-1-1-1111100000000111100002-200-1-1-1-11111-20011000000000
χ19222222-1-12222-122-1-1-122-1-12-1-122-1-1-1-1-2-22200-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20-22-2-2221111-1-1-1-10000000011110000-22001111-1-1-1-1-20011000000000
χ20222222-1-12222-122-1-1-122-1-12-1-122-1-1-1-1-2-2-2-200-1-1-1-12222-1-1-1-1-1-1-1-122220-2-2-2-2-2-21111111100000000-1-1-1-10000-2-20011111111200-1-1000000000
χ21222222-1-12222-122-1-1-12-2-1-12-1-122-1-111222200-1-1-1-1-2-2-2-21111111122220-2-22222-1-111-1-11100000000-1-1-1-10000-2-200-1-111-1-111-20011000000000
χ22222222-1-12222-122-1-1-12-2-1-12-1-122-1-11122-2-200-1-1-1-1-2-2-2-211111111-2-2-2-20-2222-2-2-1-11111-1-10000000011110000-2200-1-11111-1-1200-1-1000000000
χ23222222-1-12222-122-1-1-12-2-1-12-1-122-1-111-2-22200-1-1-1-1-2-2-2-211111111-2-2-2-202-2-2-22211-1-1-1-11100000000111100002-20011-1-1-1-111200-1-1000000000
χ24222222-1-12222-122-1-1-12-2-1-12-1-122-1-111-2-2-2-200-1-1-1-1-2-2-2-2111111112222022-2-2-2-211-1-111-1-100000000-1-1-1-10000220011-1-111-1-1-20011000000000
χ2522222-1222-12-122-122-1-122-1-12-1-1-12-122002222-1-1-1-12-1-1-122-1-1-1-1-1-1000020200-1-10000222222-1-1002200002-1-1-10-1-1-10000-1-1-1-10020000-1-1000-10
χ2622222-1222-12-122-122-1-122-1-12-1-1-12-1220022-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10000-20200-1-100002222-2-21100-2-20000-21110-1110000-1-1-1-100-200001100010
χ2722222-1222-12-122-122-1-122-1-12-1-1-12-12200-2-222-1-1-1-12-1-1-122-1-1-1-1-1-1000020-200110000-2-2-2-222-1-100-2-200002-1-1-101-1-10000111100-200001100010
χ2822222-1222-12-122-122-1-122-1-12-1-1-12-12200-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10000-20-200110000-2-2-2-2-2-21100220000-21110111000011110020000-1-1000-10
χ2922222-1222-12-122-122-1-1-22-1-12-1-1-12-1-2-2002222-1-1-1-1-2111-2-21111110000-20-200-1-1000022-2-222-1-100220000-211101-1-10000-1-11100-20000-1-100010
χ3022222-1222-12-122-122-1-1-22-1-12-1-1-12-1-2-20022-2-2-1-1-1-1-2111-2-2111111000020-200-1-1000022-2-2-2-21100-2-200002-1-1-101110000-1-111002000011000-10
χ3122222-1222-12-122-122-1-1-22-1-12-1-1-12-1-2-200-2-222-1-1-1-1-2111-2-21111110000-20200110000-2-22222-1-100-2-20000-21110-1-1-1000011-1-1002000011000-10
χ3222222-1222-12-122-122-1-1-22-1-12-1-1-12-1-2-200-2-2-2-2-1-1-1-1-2111-2-2111111000020200110000-2-222-2-211002200002-1-1-10-111000011-1-100-20000-1-100010
χ332222-1222-12-122-122-12-12-12-1-12-1-1-1222220022-1-1-1-1-12-1-1-1-122-1-1-1-10000220-1-10022220000-1-12222000000-12-1-1-10-1-1-1-1-1-1000002000-1-10000-100
χ342222-1222-12-122-122-12-12-12-1-12-1-1-12222200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-10000-220-1-1002222000011-2-2-2-20000001-211-1011-1-1-1-100000-2000110000100
χ352222-1222-12-122-122-12-12-12-1-12-1-1-1222-2-20022-1-1-1-1-12-1-1-1-122-1-1-1-100002-201100-2-2-2-20000-1-122-2-2000000-12-1-110-1-1111100000-2000110000100
χ362222-1222-12-122-122-12-12-12-1-12-1-1-1222-2-200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-10000-2-201100-2-2-2-2000011-2-2220000001-21110111111000002000-1-10000-100
χ372222-1222-12-122-122-12-1-2-12-1-12-1-1-12-2-2220022-1-1-1-11-21111-2-211110000-2-20-1-10022-2-20000-1-122220000001-21110-1-1-1-11100000-2000-1-10000100
χ382222-1222-12-122-122-12-1-2-12-1-12-1-1-12-2-22200-2-2-1-1-1-11-21111-2-2111100002-20-1-10022-2-2000011-2-2-2-2000000-12-1-11011-1-111000002000110000-100
χ392222-1222-12-122-122-12-1-2-12-1-12-1-1-12-2-2-2-20022-1-1-1-11-21111-2-211110000-2201100-2-2220000-1-122-2-20000001-211-10-1-111-1-1000002000110000-100
χ402222-1222-12-122-122-12-1-2-12-1-12-1-1-12-2-2-2-200-2-2-1-1-1-11-21111-2-2111100002201100-2-222000011-2-222000000-12-1-1-101111-1-100000-2000-1-10000100
χ4122-2-2222-222-2-2-2-2-222220-2-22-2-2-2-2220000002i−2i22-2-200000000000022-2-20000000000000002i−2i2i−2i000022-2-20000002i−2i000000000000000002i−2i000
χ4222-2-2222-222-2-2-2-2-222220-2-22-2-2-2-2220000002i−2i22-2-2000000000000-2-2220000000000000002i−2i2i−2i0000-2-2220000002i−2i00000000000000000−2i2i000
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χ452-22-2222-2-2-2222-2-2-22220-2-2-2222-2-2-2002i−2i2i−2i002-2-220000000000002-22-20002i−2i2i−2i2i−2i002i−2i00000000002-22-2000000002i−2i002i−2i0000000000000000
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χ522-22-222-11-2-222-1-2-21-1-12011-2-1-12-211−i3i3−2i2i−2i2i00-111-10000−i3i3−i3i3−i3−i3i3i32-22-2000−2i2i−2i2ii−i−33i−i−3300000000-11-1100000000i−i−33i−i−33000−i3i3000000000
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χ854-44-44-2-22-424-2-2-422-21-202-12-21-222-1−2i32i3004i−4i001-1-110000−2i32i3i3−i3i3i3−i3−i3000000000−2i2i0000−2i2i23−23000000000000000000000000i−i−3300000000000000
χ864-44-44-2-22-424-2-2-422-21-202-12-21-222-1−2i32i300−4i4i001-1-110000−2i32i3i3−i3i3i3−i3−i30000000002i−2i00002i−2i−2323000000000000000000000000−ii3−300000000000000
χ874-44-44-2-22-424-2-2-422-21-202-12-21-222-12i3−2i3004i−4i001-1-1100002i3−2i3−i3i3−i3−i3i3i3000000000−2i2i0000−2i2i−2323000000000000000000000000i−i3−300000000000000
χ884-44-44-2-22-424-2-2-422-21-202-12-21-222-12i3−2i300−4i4i001-1-1100002i3−2i3−i3i3−i3−i3i3i30000000002i−2i00002i−2i23−23000000000000000000000000−ii−3300000000000000
χ894-44-4-244-42-4-2442-4-4-24-202-42-24-222-4004i−4i0000-222-20000000000000000000−2i2i004i−4i00000000000000000000000000−2i2i00000000000000000000
χ904-44-4-244-42-4-2442-4-4-24-202-42-24-222-400−4i4i0000-222-200000000000000000002i−2i00−4i4i000000000000000000000000002i−2i00000000000000000000
χ914-44-4-24-222-4-24-22-421-2-20-1221-2-22-12−2i32i34i−4i00001-1-110000i3−i3−2i32i3i3i3−i3−i30000000−2i2i00−2i2i23−23000000000000000000000000i−i−33000000000000000000
χ924-44-4-24-222-4-24-22-421-2-20-1221-2-22-12−2i32i3−4i4i00001-1-110000i3−i3−2i32i3i3i3−i3−i300000002i−2i002i−2i−2323000000000000000000000000−ii3−3000000000000000000
χ934-44-4-24-222-4-24-22-421-2-20-1221-2-22-122i3−2i34i−4i00001-1-110000−i3i32i3−2i3−i3−i3i3i30000000−2i2i00−2i2i−2323000000000000000000000000i−i3−3000000000000000000
χ944-44-4-24-222-4-24-22-421-2-20-1221-2-22-122i3−2i3−4i4i00001-1-110000−i3i32i3−2i3−i3−i3i3i300000002i−2i002i−2i23−23000000000000000000000000−ii−33000000000000000000
χ954-4-4444-2-2-4-4-4-42442-2-240-2-2-422-442200000000-22-220000000000004-4-4400000000000000000000000-222-2000000000000000000000000000000
χ964-4-4444-2-2-4-4-4-42442-2-240-2-2-422-442200000000-22-22000000000000-444-4000000000000000000000002-2-22000000000000000000000000000000
χ974-4-444-244-42-42-44-2-44-2-204-22-422-2-4200000000-22-2200000000000000000000000000000000000004i−4i000000000000000000000000000−2i2i00000
χ984-4-444-244-42-42-44-2-44-2-204-22-422-2-4200000000-22-220000000000000000000000000000000000000−4i4i0000000000000000000000000002i−2i00000
χ994-4-44-24442-42-4-4-24-4-24-20-2422-42-22-400000000-22-22000000000000000000000000000000000004i−4i000000000000000000000000000−2i2i0000000
χ1004-4-44-24442-42-4-4-24-4-24-20-2422-42-22-400000000-22-2200000000000000000000000000000000000−4i4i0000000000000000000000000002i−2i0000000
χ1018888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-448-4-844-84-4-42-404-2-44-244-420000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-44-484-844-8-42-4-40-24-4-24442-40000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-44-4-444444-42220-2-22-2-2-2-22200000000-1-111006i−6i0000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-4-444444-42220-2-22-2-2-2-22200000000-1-11100−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-48-844-4-4844-8-4-42044-2-4-42-244000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4444-4-4-44442220-2-2-2222-2-2-2−4i34i3000000-111-100002i3−2i32i3−2i3−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4444-4-4-44442220-2-2-2222-2-2-24i3−4i3000000-111-10000−2i32i3−2i32i3i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-4-4-84-8448-44-42-40-4244-24-44-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-4-44-84-84-4842-4-402-44-244-4-24000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4884444-8-4-4-8-4-420-4-4-244-2244000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4-444444-4-44222022-2-2-2-22-2-200000000-11-110000000033−33−33330000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-444444-4-44222022-2-2-2-22-2-200000000-11-1100000000−333333−330000000000000000000000000000000000000000000000000000000000000

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