Finite Group Databasebeta

← Group #13172918

Character table — Group #13172918

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order122233366666666623336666666666644443666666666666666244466121212121212121212121212121222222244666666612121212121212121212121212246666121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-11-1-11111111111-1-1111111-1-1-1-11111-1-1-11-1111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111-1111111-1-1-1-111-1111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1111-111
χ51111111111111111111111111111111-1-1111111111111111111111-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-11111111-1-1-1-1-1111-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1111-1-1-1-1-1111
χ71111111111111111111111111111111-1-1-1-111111111111111111-11-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111-11-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1-111-1-111-1-1-1-1-11-1-11111-111-1
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-11111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1111-11111-1-11-1-11
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-11
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-111-111-1-1-1-11111-1-111-1-111-1-11-1
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-111-1-11111111111111-1-11-1-11111-1-1-1-1-1-111-1-111-1-1-11
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1111-1
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-11-1-111-1-111-1-11-11111-1-11-11-1
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1111-1-111-1-11111-11-1-11111-11-11
χ17222222-122-122-1-1222-1-12-1-1-1-122-1-1-1-122222-122-1-1-1-122-1-1-1-1-1-1-102020022-1-1-1-1-1-1-1-1002222220000-1-1-1-1000202-1-1-1-1-1-1-1-1000000-1-1000000
χ18222222-122-122-1-1222-1-12-1-1-1-122-1-1-1-1222-2-2-122-1-1-1-122-1-1-1-1-1-1-10-2020022-1-1-1-1111100-2-2-2-2-2-200001111000-202-1-1-1-1111100000011000000
χ19222222-122-122-1-1222-1-12-1-1-1-122-1-1-1-12-2-222-122-1-1-1-122-1-1-1-1-1-1-1020-200-2-21111-1-1-1-10022-2-2-2-20000111100020-21111-1-1-1-100000011000000
χ20222222-122-122-1-1222-1-12-1-1-1-122-1-1-1-12-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-10-20-200-2-21111111100-2-222220000-1-1-1-1000-20-211111111000000-1-1000000
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χ23222222-122-122-1-122-2-1-1211-1-122-1-1-1-12-2-222-1-2-21111-2-2-1-1-111110-20200-2-211-1-1-1-1110022-2-2220000-1-1-1-1000-20211-1-1-1-11100000011000000
χ24222222-122-122-1-122-2-1-1211-1-122-1-1-1-12-2-2-2-2-1-2-21111-2-2-1-1-11111020200-2-211-1-111-1-100-2-222-2-20000111100020211-1-111-1-1000000-1-1000000
χ2522222-122-122-1222-122-1-1222-1-1-122-1-1-10022-12-122-1-1-1-1-1-1-1-1-1-1-12220-1-1000000222222-1-10000002200002-1-1-1-100000-1-1-1-1-1-1200000-1-1-1000
χ2622222-122-122-1222-122-1-1222-1-1-122-1-1-10022-12-122-1-1-1-1-1-1-1-1-1-1-1-22-20110000002222-2-2-1-1000000-2-20000-211-1100000-1-1-1-111-200000111000
χ2722222-122-122-1222-122-1-1222-1-1-122-1-1-100-2-2-12-122-1-1-1-1-1-1-1-1-1-1-12-220-1-1000000-2-2-2-22211000000-2-200002-1-11-1000001111-1-1-200000111000
χ2822222-122-122-1222-122-1-1222-1-1-122-1-1-100-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2011000000-2-2-2-2-2-211000000220000-2111100000111111200000-1-1-1000
χ2922222-122-122-1222-1-22-1-1-2-22-1-1-122-1-1-10022-1-21-2-21111-1-1-111112-2-20-1-100000022-2-2-2-2-1-10000002200002-1-11100000-1-11111-200000-1-11000
χ3022222-122-122-1222-1-22-1-1-2-22-1-1-122-1-1-10022-1-21-2-21111-1-1-11111-2-2201100000022-2-222-1-1000000-2-20000-2111-100000-1-111-1-120000011-1000
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χ352222-122-122-1222-122-12-122-12-1-1-1-122-1-2-200-1-12-1-122-1-1-1-1-1-1-1-1-1202-22211-2-2-2-20000-1-1000000-2-2000000-1-1-102111110000-1-10-21100000100
χ362222-122-122-1222-122-12-122-12-1-1-1-122-1-2-200-1-12-1-122-1-1-1-1-1-1-1-1-1-20-2-2-2-211-2-2-2-2000011000000220000001110-21111100001102-1-100000-100
χ372222-122-122-1222-12-2-12-1-2-2-12-1-1-1-122-12200-11-211-2-211-1-1-1111120-2-222-1-122-2-2000011000000-2-2000000-1-1-10-21-1-111000011021100000-100
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χ392222-122-122-1222-12-2-12-1-2-2-12-1-1-1-122-1-2-200-11-211-2-211-1-1-1111120-222211-2-22200001100000022000000-1-1-10-2-111-1-10000110-2-1-100000100
χ402222-122-122-1222-12-2-12-1-2-2-12-1-1-1-122-1-2-200-11-211-2-211-1-1-11111-2022-2-211-2-2220000-1-1000000-2-200000011102-111-1-10000-1-1021100000-100
χ412-22-2222222-2-2-2-2-2-2022200222-2-2-2-2-2-22i−2i2i−2i2000000002-2-200000000002i−2i2i−2i002i−2i00002i−2i2-200000000000000002i−2i002i−2i000000002-2000000
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χ874-44-4-244-2442-4-4-42-40-24-200-24-2222-4-42−4i4i00-200000000-22200000000002i−2i−4i4i00000000000000000000000000002i−2i00000000000000000000
χ884-44-4-24-2-24-22-4222-401-2-2−2i32i31-2-22-1-12224i−4i00100i3−i3−2i32i3001-1-1i3i3−i3−i3000000−2i2i−2i2i23−2300000000000000000000000000i−i−33000000000000000000
χ894-44-4-24-2-24-22-4222-401-2-2−2i32i31-2-22-1-1222−4i4i00100i3−i3−2i32i3001-1-1i3i3−i3−i30000002i−2i2i−2i−232300000000000000000000000000−ii3−3000000000000000000
χ904-44-4-24-2-24-22-4222-401-2-22i3−2i31-2-22-1-12224i−4i00100−i3i32i3−2i3001-1-1−i3−i3i3i3000000−2i2i−2i2i−232300000000000000000000000000i−i3−3000000000000000000
χ914-44-4-24-2-24-22-4222-401-2-22i3−2i31-2-22-1-1222−4i4i00100−i3i32i3−2i3001-1-1−i3−i3i3i30000002i−2i2i−2i23−2300000000000000000000000000−ii−33000000000000000000
χ924-4-4444-2-4-42-4-4-22440-2-240022-44-22-22-40000-2000000002-22000000000000000000000000004-40000-22-220000000000000000000000000000
χ934-4-4444-2-4-42-4-4-22440-2-240022-44-22-22-40000-2000000002-2200000000000000000000000000-4400002-22-20000000000000000000000000000
χ944-4-444-24-42-4-424-44-204-2-200-422-24-4-2220000-2000000002-220000000000000000000000000000004-400000000000000000000000000-220000
χ954-4-444-24-42-4-424-44-204-2-200-422-24-4-2220000-2000000002-22000000000000000000000000000000-44000000000000000000000000002-20000
χ964-4-44-2442-4-42-44-4-240-24-2002-42-2-224-420000-2000000002-2200000000000000000000000000004-4000000000000000000000000-2200000000
χ974-4-44-2442-4-42-44-4-240-24-2002-42-2-224-420000-2000000002-220000000000000000000000000000-440000000000000000000000002-200000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-48222-4-42222222220000-1-4-4222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4-8222442222222220000-144-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-4-8448-44-4-840-42-4004-2444-4-22-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-44-84-484-44-802-4-400-2444-224-4-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4444-4-44-444022200-2-2-2-2-22-2220000-10000006-611-1-33-33000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4444-4-44-444022200-2-2-2-2-22-2220000-1000000-6611-13-33-3000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-48-4-4844-8-8440-4-4200-4-42-24444-200002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4-4-4-44444440222−4i34i3222-2-2-2-2-2-20000-1002i3−2i32i3−2i300-111−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4-4-4-444444402224i3−4i3222-2-2-2-2-2-20000-100−2i32i3−2i32i300-111i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-4-844-84-448-40-42-4004-24-4-442-240000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-44-844-8-44-4802-4-400-244-42-2-4440000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-4844-8448-8-4-40-4-420044-22-44-44-20000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-444444-44-4-4022200-2-2-222-22-2-20000-1000000001-11−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-444444-44-4-4022200-2-2-222-22-2-20000-1000000001-113i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000

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