Finite Group Databasebeta

← Group #13170737

Character table — Group #13170737

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order122233366666666633346666666661212222244366612121212121212121212121244442446666666612121212121212122244121212126666666612121212121212122446612121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-1-1-1-11-1111111111-1-111-1-1-1-111-1-1-1-1-1-1111111111-111-1-1-1-1-1-1111-1-1-1-1-1-1-11-1
χ3111111111111111111111111111111111-1-11111111111111111111111-11111-1-111-1-111111111-1-1-1-11111-1-111-1-1-1-111111111-11-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-11-1-1-1-1-1-111111-11
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-111-1-1-111-1-11111-1-11111-1-111-1-1-1-111-1-11111-11-1-111111-1-1-1-1-1-111-1-11-1-1
χ61111111111111111111111111111111-1-111-1-1111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1111-1-1-1-111-111
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-11111-11111-1-1-1-11-11
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-11-1-1-1-111-111-1-1111111-11-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-11-11111-1-1-111-1-11111-1-1-111
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111-11-1-1-1-1-1-11111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111-11111-1-111-11111-1-1111-1-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-111-1-111-1-1-1-11
χ17222222-12-1-122-12222-1-122-1-1-1-1-12-1222222200-1-1-1-1-12-1-1-1-122-1-1-1-100002022222-1-1-1-100220000220000002-1-1-1-1-1-1-1-10-1-10000002-1-10000000-10
χ18222222-12-1-122-12222-1-122-1-1-1-1-12-122222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-10000-20222-2-2-1-11100220000-2-2000000-21-1-11111-10-1-1000000-211000000010
χ19222222-12-1-122-12222-1-122-1-1-1-1-12-1222-2-22200-1-1-1-1-12-1-1-1-122-1-1-1-1000020-2-2-22211-1-100-2-20000-2-20000002-111-1-1-1-11011000000-211000000010
χ20222222-12-1-122-12222-1-122-1-1-1-1-12-1222-2-2-2-200-1-1-1-1-12-1-1-1-122-1-1-1-10000-20-2-2-2-2-2111100-2-2000022000000-2111111110110000002-1-10000000-10
χ21222222-12-1-122-12222-1-1-22-1-1-1-1-12-12-2-2222200-1-1-1-11-21111-2-211110000-20-22222-1-1-1-100-2-2000022000000-21-1-1-1-1111011000000-2-1-1000000010
χ22222222-12-1-122-12222-1-1-22-1-1-1-1-12-12-2-222-2-200-1-1-1-11-21111-2-21111000020-222-2-2-1-11100-2-20000-2-20000002-1-1-111-1-110110000002110000000-10
χ23222222-12-1-122-12222-1-1-22-1-1-1-1-12-12-2-2-2-22200-1-1-1-11-21111-2-211110000-202-2-22211-1-100220000-2-2000000-2111-1-111-10-1-10000002110000000-10
χ24222222-12-1-122-12222-1-1-22-1-1-1-1-12-12-2-2-2-2-2-200-1-1-1-11-21111-2-211110000202-2-2-2-2111100220000220000002-11111-1-1-10-1-1000000-2-1-1000000010
χ2522222-12-1222-1222-1-12-12-12-1-12-1-12-122002222-1-1-1-12-122-1-1-1-1-1-1-1-1000022000-1-10022220022-1-100220000-1200-1-1-1-10-100-1-1-1-12000000-1-100-100
χ2622222-12-1222-1222-1-12-12-12-1-12-1-12-1220022-2-2-1-1-1-12-122-1-1-1-1-1-1-1-100002-2000-1-10022-2-200-2-21100-2-20000-1200-1-1-1-101001111-20000001100100
χ2722222-12-1222-1222-1-12-12-12-1-12-1-12-12200-2-222-1-1-1-12-122-1-1-1-1-1-1-1-10000-220001100-2-2220022-1-100-2-200001-20011110-100-1-1-1-1-20000001100100
χ2822222-12-1222-1222-1-12-12-12-1-12-1-12-12200-2-2-2-2-1-1-1-12-122-1-1-1-1-1-1-1-10000-2-20001100-2-2-2-200-2-211002200001-2001111010011112000000-1-100-100
χ2922222-12-1222-1222-1-12-1-2-12-1-12-1-12-1-2-2002222-1-1-1-1-21-2-2111111110000-2-2000-1-10022-2-20022-1-1002200001-200-1-1110100-1-111-2000000-1-100100
χ3022222-12-1222-1222-1-12-1-2-12-1-12-1-12-1-2-20022-2-2-1-1-1-1-21-2-2111111110000-22000-1-100222200-2-21100-2-200001-200-1-1110-10011-1-120000001100-100
χ3122222-12-1222-1222-1-12-1-2-12-1-12-1-12-1-2-200-2-222-1-1-1-1-21-2-21111111100002-20001100-2-2-2-20022-1-100-2-20000-120011-1-10100-1-11120000001100-100
χ3222222-12-1222-1222-1-12-1-2-12-1-12-1-12-1-2-200-2-2-2-2-1-1-1-1-21-2-2111111110000220001100-2-22200-2-21100220000-120011-1-10-10011-1-1-2000000-1-100100
χ332222-122222-122-1-12-1-122-1-122-12-1-1-1-1-1220022-1-1-1-122-1-122-1-1-1-1-1-12222022-1-1002200-1-1-1-1-1-1220000-1-1-1-100-1-1000022-1-1-1-1-1-102000-1-10000000
χ342222-122222-122-1-12-1-122-1-122-12-1-1-1-1-12200-2-2-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-20-22-1-100220011-1-111-2-20000111100-1-100002-2-1-111110-2000110000000
χ352222-122222-122-1-12-1-122-1-122-12-1-1-1-1-1-2-20022-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-202-21100-2-200-1-111-1-1220000111100110000-2211-1-1-1-10-2000110000000
χ362222-122222-122-1-12-1-122-1-122-12-1-1-1-1-1-2-200-2-2-1-1-1-122-1-122-1-1-1-1-1-122220-2-21100-2-200111111-2-20000-1-1-1-100110000-2-211111102000-1-10000000
χ372222-122222-122-1-12-1-12-2-1-122-12-1-1-111220022-1-1-1-1-2-211-2-211111122220-2-2-1-10022001111-1-1220000-1-1-1-100-1-10000-2-211-1-1110-2000110000000
χ382222-122222-122-1-12-1-12-2-1-122-12-1-1-1112200-2-2-1-1-1-1-2-211-2-2111111-2-2-2-202-2-1-1002200-1-11111-2-20000111100-1-10000-221111-1-102000-1-10000000
χ392222-122222-122-1-12-1-12-2-1-122-12-1-1-111-2-20022-1-1-1-1-2-211-2-2111111-2-2-2-20-221100-2-20011-1-1-1-12200001111001100002-2-1-1-1-11102000-1-10000000
χ402222-122222-122-1-12-1-12-2-1-122-12-1-1-111-2-200-2-2-1-1-1-1-2-211-2-211111122220221100-2-200-1-1-1-111-2-20000-1-1-1-10011000022-1-111-1-10-2000110000000
χ4122-2-2222-22-222-2-2-2-22220-2-2-2-222-2-2200002-2002-2-220000000000002i2i−2i−2i000002-2002-20000000000002i2i−2i−2i00002-200000000000000000002i−2i000
χ4222-2-2222-22-222-2-2-2-22220-2-2-2-222-2-2200002-2002-2-22000000000000−2i−2i2i2i000002-2002-2000000000000−2i−2i2i2i00002-20000000000000000000−2i2i000
χ4322-2-2222-22-222-2-2-2-22220-2-2-2-222-2-220000-22002-2-220000000000002i2i−2i−2i00000-2200-220000000000002i2i−2i−2i0000-220000000000000000000−2i2i000
χ4422-2-2222-22-222-2-2-2-22220-2-2-2-222-2-220000-22002-2-22000000000000−2i−2i2i2i00000-2200-22000000000000−2i−2i2i2i0000-2200000000000000000002i−2i000
χ452-22-22222-22-2-2-22-2-222202-22-2-2-2-22-20000000022-2-20000000000002i−2i2i−2i00000000000000000002-22i−2i2i−2i2i−2i00000000000000000002-2002i−2i00000
χ462-22-22222-22-2-2-22-2-222202-22-2-2-2-22-20000000022-2-20000000000002i−2i2i−2i0000000000000000000-22−2i2i2i−2i2i−2i0000000000000000000-2200−2i2i00000
χ472-22-22222-22-2-2-22-2-222202-22-2-2-2-22-20000000022-2-2000000000000−2i2i−2i2i00000000000000000002-2−2i2i−2i2i−2i2i00000000000000000002-200−2i2i00000
χ482-22-22222-22-2-2-22-2-222202-22-2-2-2-22-20000000022-2-2000000000000−2i2i−2i2i0000000000000000000-222i−2i−2i2i−2i2i0000000000000000000-22002i−2i00000
χ492-2-22222-2-2-2-2-22-2222220-22-22-2-22-2-2002-2002-22-22-20000000000002-2-220002-2002-20000002-22-200002-2-22002-2000000002-20000000000000000
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χ512-2-22222-2-2-2-2-22-2222220-22-22-2-22-2-200-22002-22-22-2000000000000-222-2000-2200-220000002-22-20000-222-200-22000000002-20000000000000000
χ522-2-22222-2-2-2-2-22-2222220-22-22-2-22-2-200-2200-222-22-20000000000002-2-22000-2200-22000000-22-2200002-2-2200-2200000000-220000000000000000
χ532-2-22-122-2-2-21-221-12-1-1201-1-221-2-1113−32-2002-2-11-11003−3003−333−3−32-2-22000-11002-2003−33−3-112-20000-111-100-110000003−3-113−3000003−30000000
χ542-2-22-122-2-2-21-221-12-1-1201-1-221-2-1113−32-200-22-11-11003−3003−333−3−3-222-2000-11002-200−333−31-1-2200001-1-1100-110000003−31-1−3300000−330000000
χ552-2-22-122-2-2-21-221-12-1-1201-1-221-2-1113−3-22002-2-11-11003−3003−333−3−3-222-20001-100-22003−3−33-112-200001-1-11001-1000000−33-113−300000−330000000
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χ954-4-44-24-2-4222-4-22-24-21-20212-2-12-2-12−23234-400001-11-1003−300−232333−3−30000000-2200-220000−2323000000000000001-10000003−3000000000000000000
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χ974-4-44-2-242-4-42242-2-21-2-20-1-22-22212-123−2300004-41-11-10023−2300−33−3−33300000000000000023−2300-22-22000000000000000000001-1−3300000000000000
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χ994-4-44-2-242-4-42242-2-21-2-20-1-22-22212-1−232300004-41-11-100−2323003−333−3−3000000000000000−232300-22-22000000000000000000001-13−300000000000000
χ1004-4-44-2-242-4-42242-2-21-2-20-1-22-22212-1−23230000-441-11-100−2323003−333−3−300000000000000023−23002-22-200000000000000000000-11−3300000000000000
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
χ10388-8-8-48-4-8-44-48444-8-42-404-2442-44-2-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4848-8-4-4-84442-4-40-2444-4-4-242000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-44-44-4-444442220-2-2-2-222-2-2200000000-111-100006-600-33-330000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-44-4-444442220-2-2-2-222-2-2200000000-111-10000-66003-33-30000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-4-44-4-8448-84-4-420-442-24-24-440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-484-44-84-44-8-42-40-4-2-44-244240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-48-4-8844-8-4442-4-4024-4444-2-4-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-44-4444-44422202-22-2-2-2-22-200000000-1-1110000000033−33−33330000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4-44-4444-44422202-22-2-2-2-22-200000000-1-11100000000−333333−330000000000000000000000000000000000000000000000000000000000000
χ1128-8-888-4-4444-84-4-88-4-4-4204-4-224-2-444000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444444-44-4-42220-22-22-2-22-2-243−43000000-11-1100−232300−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444444-44-4-42220-22-22-2-22-2-2−4343000000-11-110023−230023−23−3−3330000000000000000000000000000000000000000000000000000000000000

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