Finite Group Databasebeta

← Group #13168700

Character table — Group #13168700

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order1222333666666666333466666666612122222443666121212121212121212121212444666666661212121212121212444412121212666612121212121212121212121244441212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111111111111111111-1111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-1111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-111
χ51111111111111111111111111111111-1-111111111111111111111-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1111-1-1111111-1-111-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-11-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1111-11
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-11-1111-1-1-1-11111-1
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1111111-1-111111111-1-1-11-1-1-1-111-1-1111-1-11-1-111-1-111-11-1
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1111-1-11111-1-1-111-1-1-1-1-111-1-11-11
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-1111111-1-1111-1-1-111-1-1-1-111-111-1-1-1-1-111111-1-1
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111-11111-1-111-1-11-1-11-1-111-1-1-1-1-111
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-11-1111-1-1-1-1-1-1111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11-11-111111111-1-1-1
χ17222222-122-122-1-1222-1-122-1-1-1-12-1-12-1-1222200-1-1-1-122-1-1-1-122-1-1-1-12202222-1-1-1-1-1-1-1-100002222-1-1-1-1-1-1-1-12200-1-1-1-100000000-1-1000000000
χ18222222-122-122-1-1222-1-122-1-1-1-12-1-12-1-122-2-200-1-1-1-122-1-1-1-122-1-1-1-12-2022-2-2-1-111-1-1110000-2-2-2-21111-1-1112-200-1-1110000000011000000000
χ19222222-122-122-1-1222-1-122-1-1-1-12-1-12-1-1-2-22200-1-1-1-122-1-1-1-122-1-1-1-1-220-2-22211-1-111-1-10000-2-2-2-2111111-1-1-220011-1-10000000011000000000
χ20222222-122-122-1-1222-1-122-1-1-1-12-1-12-1-1-2-2-2-200-1-1-1-122-1-1-1-122-1-1-1-1-2-20-2-2-2-21111111100002222-1-1-1-11111-2-200111100000000-1-1000000000
χ21222222-122-122-1-1222-1-1-22-1-1-1-12-1-1211222200-1-1-1-1-2-21111-2-21111-2-202222-1-1-1-11111000022-2-21111-1-1-1-1-2-200111100000000-1-1000000000
χ22222222-122-122-1-1222-1-1-22-1-1-1-12-1-121122-2-200-1-1-1-1-2-21111-2-21111-22022-2-2-1-11111-1-10000-2-222-1-1-1-1-1-111-220011-1-10000000011000000000
χ23222222-122-122-1-1222-1-1-22-1-1-1-12-1-1211-2-22200-1-1-1-1-2-21111-2-211112-20-2-22211-1-1-1-1110000-2-222-1-1-1-111-1-12-200-1-1110000000011000000000
χ24222222-122-122-1-1222-1-1-22-1-1-1-12-1-1211-2-2-2-200-1-1-1-1-2-21111-2-21111220-2-2-2-21111-1-1-1-1000022-2-2111111112200-1-1-1-100000000-1-1000000000
χ2522222-122-122-1222-1-12-12-12-12-1-12-1-122002222-1-1-1-12-122-1-1-1-1-1-1-1-102200-1-10022002222-1-10000000000-1-10-12-100-1-1-1-1-1-100220000-1-1000-10
χ2622222-122-122-1222-1-12-12-12-12-1-12-1-1220022-2-2-1-1-1-12-122-1-1-1-1-1-1-1-102-200-1-100220022-2-2110000000000-1-10-1-2100-1-1111100-2-200001100010
χ2722222-122-122-1222-1-12-12-12-12-1-12-1-12200-2-222-1-1-1-12-122-1-1-1-1-1-1-1-10-22001100-2-200-2-222-1-1000000000011012-10011-1-1-1-100-2-200001100010
χ2822222-122-122-1222-1-12-12-12-12-1-12-1-12200-2-2-2-2-1-1-1-12-122-1-1-1-1-1-1-1-10-2-2001100-2-200-2-2-2-21100000000001101-210011111100220000-1-1000-10
χ2922222-122-122-1222-1-12-1-2-12-12-1-12-1-1-2-2002222-1-1-1-1-21-2-2111111110-2-200-1-1002200-2-222-1-10000000000-1-101-21001111-1-1002-20000-1-100010
χ3022222-122-122-1222-1-12-1-2-12-12-1-12-1-1-2-20022-2-2-1-1-1-1-21-2-2111111110-2200-1-1002200-2-2-2-2110000000000-1-1012-10011-1-11100-22000011000-10
χ3122222-122-122-1222-1-12-1-2-12-12-1-12-1-1-2-200-2-222-1-1-1-1-21-2-21111111102-2001100-2-2002222-1-10000000000110-1-2100-1-111-1-100-22000011000-10
χ3222222-122-122-1222-1-12-1-2-12-12-1-12-1-1-2-200-2-2-2-2-1-1-1-1-21-2-211111111022001100-2-20022-2-2110000000000110-12-100-1-1-1-111002-20000-1-100010
χ332222-122-122-1222-12-1-122-1-12-12-1-12-122220022-1-1-1-1-12-1-122-1-1-1-1-1-1202-1-10022002200-1-12200000000-1-100-10-12-1-100-1-1-1-1220000-1-10000-100
χ342222-122-122-1222-12-1-122-1-12-12-1-12-1222200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-120-2-1-1002200220011-2-200000000-1-100-101-2-1-1001111-2-20000110000100
χ352222-122-122-1222-12-1-122-1-12-12-1-12-122-2-20022-1-1-1-1-12-1-122-1-1-1-1-1-1-2021100-2-200-2-200-1-12200000000110010-121100-1-1-1-1-2-20000110000100
χ362222-122-122-1222-12-1-122-1-12-12-1-12-122-2-200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-20-21100-2-200-2-20011-2-2000000001100101-211001111220000-1-10000-100
χ372222-122-122-1222-12-1-12-2-1-12-12-1-12-1-2-2220022-1-1-1-11-211-2-2111111-20-2-1-1002200-2-200-1-12200000000-1-100101-2110011-1-12-20000-1-10000100
χ382222-122-122-1222-12-1-12-2-1-12-12-1-12-1-2-22200-2-2-1-1-1-11-211-2-2111111-202-1-1002200-2-20011-2-200000000-1-10010-121100-1-111-220000110000-100
χ392222-122-122-1222-12-1-12-2-1-12-12-1-12-1-2-2-2-20022-1-1-1-11-211-2-211111120-21100-2-2002200-1-122000000001100-101-2-1-10011-1-1-220000110000-100
χ402222-122-122-1222-12-1-12-2-1-12-12-1-12-1-2-2-2-200-2-2-1-1-1-11-211-2-21111112021100-2-200220011-2-2000000001100-10-12-1-100-1-1112-20000-1-10000100
χ4122-2-222222-2-2-22-2-2-22220222-2-2-2-2-2-2002-22-20022-2-20000000000000002-22-22-22-2000000002-20000002-22-200000000000000002-2000000000
χ4222-2-222222-2-2-22-2-2-22220222-2-2-2-2-2-2002-2-220022-2-20000000000000002-2-222-2-2200000000-220000002-2-220000000000000000-22000000000
χ4322-2-222222-2-2-22-2-2-22220222-2-2-2-2-2-200-222-20022-2-2000000000000000-222-2-222-200000000-22000000-222-20000000000000000-22000000000
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χ4622-2-222-1221-2-2-11-2-22-1-102-1-111-211-23−32-2-2200-1-111003−33−30033−3−30002-2-22-111-13−3−330000-2200−3−333-111-100003−3−33000000001-1000000000
χ4722-2-222-1221-2-2-11-2-22-1-102-1-111-211-23−3-222-200-1-111003−33−30033−3−3000-222-21-1-11−333−30000-2200−3−3331-1-110000−333−3000000001-1000000000
χ4822-2-222-1221-2-2-11-2-22-1-102-1-111-211-23−3-22-2200-1-111003−33−30033−3−3000-22-221-11-1−33−3300002-20033−3−31-11-10000−33−3300000000-11000000000
χ4922-2-222-1221-2-2-11-2-22-1-102-1-111-211-2−332-22-200-1-11100−33−3300−3−3330002-22-2-11-11−33−3300002-200−3−333-11-110000−33−3300000000-11000000000
χ5022-2-222-1221-2-2-11-2-22-1-102-1-111-211-2−332-2-2200-1-11100−33−3300−3−3330002-2-22-111-1−333−30000-220033−3−3-111-10000−333−3000000001-1000000000
χ5122-2-222-1221-2-2-11-2-22-1-102-1-111-211-2−33-222-200-1-11100−33−3300−3−333000-222-21-1-113−3−330000-220033−3−31-1-1100003−3−33000000001-1000000000
χ5222-2-222-1221-2-2-11-2-22-1-102-1-111-211-2−33-22-2200-1-11100−33−3300−3−333000-22-221-11-13−33−300002-200−3−3331-11-100003−33−300000000-11000000000
χ532-22-2222-2-2-222-22-2-22220-2-2-2-2-2222-20000002i−2i2-22-20000000000000000000000000002i−2i2i−2i002-22-22-2000000000000002i−2i00000000002i−2i000
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χ924-4-4444-2-4-4-2-4-422444-2-20-422-2-2-422400000000-222-20000000000000000000000000000000000023−23−23230000000000000000000000000000000
χ934-4-4444-2-4-4-2-4-422444-2-20-422-2-2-422400000000-222-200000000000000000000000000000000000−232323−230000000000000000000000000000000
χ944-4-444-24-424-42-4-44-2-24-202-424-22-42-200000000-222-2000000000000000000000000000000000000000000000000000000000000000−2i32i300000
χ954-4-444-24-424-42-4-44-2-24-202-424-22-42-200000000-222-20000000000000000000000000000000000000000000000000000000000000002i3−2i300000
χ964-4-44-2442-442-4-4-4-24-2-24022-4-2422-4-200000000-222-20000000000000000000000000000000000000000000000000000000000000−2i32i30000000
χ974-4-44-2442-442-4-4-4-24-2-24022-4-2422-4-200000000-222-200000000000000000000000000000000000000000000000000000000000002i3−2i30000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-48-4-4-8448-8442-4-402-4-444-244-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-4444-44442220222-2-2-2-2-2-243−43000000-1-11100−2323−23230033−3−30000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-4-4444-44442220222-2-2-2-2-2-2−4343000000-1-1110023−2323−2300−3−3330000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-4-8448-44-4-84-4-42044-24-2-4-424000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-44-84-484-44-8-42-404-24-24-42-44000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4444-4-44-4442220-2-2-2-2-2222-200000000-11-110000006i−6i−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4444-4-44-4442220-2-2-2-2-2222-200000000-11-11000000−6i6i3i−3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-4-84-4-84448-4-4-42044-2-4244-2-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-44-8-44-844-48-42-404-242-44-24-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-4844844-8-8-4-42-4-40-244-4-4-2442000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-444-44444-4-42220-2-2-222-2-2-2200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-444-44444-4-42220-2-2-222-2-2-2200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000

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