Finite Group Databasebeta

← Group #13169303

Character table — Group #13169303

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order12223334466666666633366666666612121212121236661212121212121212121244444444441212121212121212224444444412121212121212121212121212121212121212121212121266121212121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ91111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-11-111-1-111-1-111-1-1-1-111-1-111111-11-11-11-111-1-111-1-111-1-111-1-111-1-1-1-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-1-1111-1-111-1-1-1-111-1-1-1-1111111-111-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-11111-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-111-1-111-1-1-1-11111111-1-111-1-11-1-11111-1-1-1-111-1-1-1-1-1-111111-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-11-1-111-1-11111-1-1-1-111-1-11111-11-11-11-11-1-111-1-111-1-11111-1-111-1-1-1-1-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-11111-1-111-1-111-1-1-1-11-1-111-11-1-1-11111-1-111-1-11111-1-111-1-1-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-11-11-111-1-1-111-1-11111-1-1-1-11111-1-1111-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-11-11-1-1111-1-111-1-1-1-111-1-11111-1-111-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-111-1-111-1-111-1-1-1-1-111-1-11-1111-1-1-1-111-1-1111111-1-111-1-11-1
χ17222222-122-12-122222-12-1-12-1-1-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-100002200222222000022220000000000-1-10022-1-10000-1-1-1-1-1-1-1-1-1-1000000-1-100
χ18222222-122-12-122222-12-1-12-1-1-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-100002200-2-222220000-2-2-2-200000000001100-2-2-1-100001111-1-1-1-1110000001100
χ19222222-122-12-122222-12-1-12-1-1-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-20022-2-2-2-20000-2-2-2-20000000000-1-10022110000-1-1-1-11111110000001100
χ20222222-122-12-122222-12-1-12-1-1-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-200-2-2-2-2-2-20000222200000000001100-2-211000011111111-1-1000000-1-100
χ21222222-1-2-2-12-122222-12-1-12-1-1-12-12-1-1-2-2-2-211-1-1-1-1-2-21111111100002-2002-222-2-2000022-2-20000000000-11002-2-110000-1-111-1-111-1-10000001100
χ22222222-1-2-2-12-122222-12-1-12-1-1-12-12-1-1-2-2-2-211-1-1-1-1-2-21111111100002-200-2222-2-20000-2-22200000000001-100-22-11000011-1-1-1-11111000000-1-100
χ23222222-1-2-2-12-122222-12-1-12-1-1-12-12-1-1-2-2-2-211-1-1-1-1-2-2111111110000-22002-2-2-2220000-2-2220000000000-11002-21-10000-1-11111-1-111000000-1-100
χ24222222-1-2-2-12-122222-12-1-12-1-1-12-12-1-1-2-2-2-211-1-1-1-1-2-2111111110000-2200-22-2-222000022-2-200000000001-100-221-1000011-1-111-1-1-1-10000001100
χ2522222-1222222-1-122-12-12-1-12-1-1-12-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-12222222200-1-1-1-1-1-1-1-10000220000-1-1-1-100220022-1-1-1-10000-1-1-1-100-1-100000000
χ2622222-1222222-1-122-12-12-1-12-1-1-12-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-2-2-2-200111111110000220000-1-1-1-100-2-200-2-211110000111100-1-100000000
χ2722222-1222222-1-122-12-12-1-12-1-1-12-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-222-2-200-1-1-1-111110000-2-20000111100-2-2002211110000-1-1-1-1001100000000
χ2822222-1222222-1-122-12-12-1-12-1-1-12-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-222001111-1-1-1-10000-2-200001111002200-2-2-1-1-1-100001111001100000000
χ2922222-12-2-2222-1-122-12-12-1-12-1-1-12-12-1-2-211-2-2-1-1-1-111-2-211111122222-22-200-1-111-1-1110000-2-20000-1-1-1-1002-2002-2-1-1110000-1-111001100000000
χ3022222-12-2-2222-1-122-12-12-1-12-1-1-12-12-1-2-211-2-2-1-1-1-111-2-21111112222-22-220011-1-111-1-10000-2-20000-1-1-1-100-2200-2211-1-1000011-1-1001100000000
χ3122222-12-2-2222-1-122-12-12-1-12-1-1-12-12-1-2-211-2-2-1-1-1-111-2-2111111-2-2-2-22-2-2200-1-11111-1-10000220000111100-22002-211-1-10000-1-11100-1-100000000
χ3222222-12-2-2222-1-122-12-12-1-12-1-1-12-12-1-2-211-2-2-1-1-1-111-2-2111111-2-2-2-2-222-20011-1-1-1-11100002200001111002-200-22-1-111000011-1-100-1-100000000
χ332222-122222-1222-1-122-1-12-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-10000002222000022220000002222000022-1-1-1-100-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ342222-122222-1222-1-122-1-12-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-100000022-2-200002222000000-2-2-2-20000-2-2-1-11100-1-1-1-111110000000011110000
χ352222-122222-1222-1-122-1-12-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2220000-2-2-2-2000000-2-2-2-200002211-1-1001111-1-1-1-10000000011110000
χ362222-122222-1222-1-122-1-12-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2-2-20000-2-2-2-200000022220000-2-21111001111111100000000-1-1-1-10000
χ372222-122-2-22-1222-1-122-1-12-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-211110000002-22-2000022-2-200000022-2-200002-2-11-1100-1-111-1-11100000000-1-1110000
χ382222-122-2-22-1222-1-122-1-12-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-211110000002-2-22000022-2-2000000-2-2220000-22-111-100-1-11111-1-10000000011-1-10000
χ392222-122-2-22-1222-1-122-1-12-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-21111000000-222-20000-2-222000000-2-22200002-21-1-110011-1-1-1-1110000000011-1-10000
χ402222-122-2-22-1222-1-122-1-12-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-21111000000-22-220000-2-22200000022-2-20000-221-11-10011-1-111-1-100000000-1-1110000
χ4122-2-22222-2-22-22-2-2-2-22222-2-2-2-222-2-222-22-22-22-2-222-22-22-222-2-22i2i−2i−2i0000000000000000002i−2i00002i2i−2i−2i00000000000000000000002i−2i00000000
χ4222-2-22222-2-22-22-2-2-2-22222-2-2-2-222-2-222-22-22-22-2-222-22-22-222-2-2−2i−2i2i2i000000000000000000−2i2i0000−2i−2i2i2i0000000000000000000000−2i2i00000000
χ4322-2-2222-22-22-22-2-2-2-22222-2-2-2-222-2-22-22-22-222-2-22-22-22-22-2-2222i2i−2i−2i000000000000000000−2i2i00002i2i−2i−2i0000000000000000000000−2i2i00000000
χ4422-2-2222-22-22-22-2-2-2-22222-2-2-2-222-2-22-22-22-222-2-22-22-22-22-2-222−2i−2i2i2i0000000000000000002i−2i0000−2i−2i2i2i00000000000000000000002i−2i00000000
χ4522-2-22-122-2-22-2-11-2-212-12-11-211-121-2-12-2-112-2-111-1-112-2-11-1-1112i2i−2i−2i000000−i3i3−i3i33−33−300002i−2i0000−i−iii000000003−33−30000−i3i3−i3i300−ii00000000
χ4622-2-22-122-2-22-2-11-2-212-12-11-211-121-2-12-2-112-2-111-1-112-2-11-1-1112i2i−2i−2i000000i3−i3i3−i3−33−3300002i−2i0000−i−iii00000000−33−330000i3−i3i3−i300−ii00000000
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χ4922-2-22-12-22-22-2-11-2-212-12-11-211-121-2-1-221-1-22-111-11-1-221-111-1-12i2i−2i−2i000000−i3i3i3−i33−3−330000−2i2i0000−i−iii000000003−3−330000−i3i3i3−i300i−i00000000
χ5022-2-22-12-22-22-2-11-2-212-12-11-211-121-2-1-221-1-22-111-11-1-221-111-1-12i2i−2i−2i000000i3−i3−i3i3−333−30000−2i2i0000−i−iii00000000−333−30000i3−i3−i3i300i−i00000000
χ5122-2-22-12-22-22-2-11-2-212-12-11-211-121-2-1-221-1-22-111-11-1-221-111-1-1−2i−2i2i2i000000−i3i3i3−i3−333−300002i−2i0000ii−i−i00000000−333−30000−i3i3i3−i300−ii00000000
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χ6144444-2-244-24-2-2-244-2-2-2-21-2-211-2-2-2-2144-2-2-2-21111-2-2-2-21111110000440000-2-2-2-2000000000000000000000000-2-2000000001111000000000000
χ6244444-2-244-24-2-2-244-2-2-2-21-2-211-2-2-2-2144-2-2-2-21111-2-2-2-21111110000-4-4000022220000000000000000000000002200000000-1-1-1-1000000000000
χ6344444-2-2-4-4-24-2-2-244-2-2-2-21-2-211-2-2-2-21-4-4222211112222-1-1-1-1-1-100004-40000-2-222000000000000000000000000-220000000011-1-1000000000000
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χ8544-4-4-2-244-4-4-2-4-2222241-2-2-12221-2-12-2-22-224-41-1-111-1-22-2211-1-10000000000000023−2323−230000000000000000000000−33−3300000000000000000000
χ8644-4-4-2-244-4-4-2-4-2222241-2-2-12221-2-12-2-22-224-41-1-111-1-22-2211-1-100000000000000−2323−232300000000000000000000003−33−300000000000000000000
χ8744-4-4-2-24-44-4-2-4-2222241-2-2-12221-2-12-22-22-2-441-1-11-112-22-2-1-1110000000000000023−23−23230000000000000000000000−333−300000000000000000000
χ8844-4-4-2-24-44-4-2-4-2222241-2-2-12221-2-12-22-22-2-441-1-11-112-22-2-1-11100000000000000−232323−2300000000000000000000003−3−3300000000000000000000
χ894-44-444-200-2-42-4-44-4424-2-2-4-2-22-42422000000-2-22200000000000000000000000000004-400000000000000000000000000000000-220000000000
χ904-44-444-200-2-42-4-44-4424-2-2-4-2-22-42422000000-2-2220000000000000000000000000000-44000000000000000000000000000000002-20000000000
χ914-44-44-24004-4-4224-4-2-4-24-224-222-4-2-42000000-2-22200000000004i−4i4i−4i000000000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ924-44-44-24004-4-4224-4-2-4-24-224-222-4-2-42000000-2-2220000000000−4i4i−4i4i0000000000000000000000002i−2i2i−2i00000000000000000000000000000000
χ934-44-4-2440042-4-4-4-224-4-2-242-24-422-22-4000000-2-22200000000000000000000000000000000004i−4i000000000000000000000000000000−2i2i000000
χ944-44-4-2440042-4-4-4-224-4-2-242-24-422-22-4000000-2-2220000000000000000000000000000000000−4i4i0000000000000000000000000000002i−2i000000
χ954-4-4444-2002-4-2-44-44-424-2-2422-2-42-4-22000000-22-220000000000000000000000000000004i−4i00000000000000000000000000000000000000−2i2i00
χ964-4-4444-2002-4-2-44-44-424-2-2422-2-42-4-22000000-22-22000000000000000000000000000000−4i4i000000000000000000000000000000000000002i−2i00
χ974-4-444-2400-4-442-2-442-4-24-2-2-42-22-4242000000-22-2200000000004-4-44000000000000000000000000-222-200000000000000000000000000000000
χ984-4-444-2400-4-442-2-442-4-24-2-2-42-22-4242000000-22-220000000000-444-40000000000000000000000002-2-2200000000000000000000000000000000
χ994-4-44-24400-424-442-2-4-4-2-24-22-44222-2-4000000-22-220000000000000000000000000000000000004i−4i000000000000000000000000000000−2i2i0000
χ1004-4-44-24400-424-442-2-4-4-2-24-22-44222-2-4000000-22-22000000000000000000000000000000000000−4i4i0000000000000000000000000000002i−2i0000
χ1018888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-4-1-1-1-1222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-1-1-1-1-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-48-84-44-44444-4222-2-2-2-222-2-22-44-44-44-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-4-884-44-44444-4222-2-2-2-222-2-224-44-44-4-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000000000000000000
χ1058-88-88-4-400-4-84448-8-44-4-424-42-244-44-200000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-48-400-444-8-8-4484-42-442-444-2-4-2400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-480084-844-44-4-82-4-4-2-4-44-2424400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-400-44444-44-44222-222-2-2-22-2-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-400-44444-44-44222-222-2-2-22-2-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-4004-8-44-4-8844-4-42-44-22444-4-20000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-40044-4-884-4-84-42-4-4-24-44-24240000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4800-8484-44-44-82-4-4244-4-24-2-440000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-40044-44-44-4442222-2-22-2-2-22-2000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-40044-44-44-4442222-2-22-2-2-22-2000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000000000000

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