Finite Group Databasebeta

← Group #13171904

Character table — Group #13171904

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order1222333666666666233366666666666444436666666666666662244666612121212121212121212121244444444121212126666661212121212121212121244121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-11-111-1-111111111-1-1111111-1-1-1-11111-1111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-11111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111-111-1-1-1-1111-1-1-111-1-11-1-1-1
χ4111111111111111111111111111111111-1-111111111111111111-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111-1111-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-1111111-1111-1-1-1-1-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-11-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-111-1-11-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-11-11-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111
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
χ91111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-1-11-1-11111-11-11
χ101111111111111111-1111-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-1111-111-1-1111-11-1
χ111111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-111111111111-1-1-111-1111-1-111-1-1-1-11111-1-1-1-11-1
χ121111111111111111-1111-1-111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-11
χ131111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-1
χ141111111111111111-1111-1-1111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111-1-11111111111-1111-1-11-1-1-111-1-111-1-11111-1-1-1-1-11
χ151111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-11-1-1-1-111-1-11-111-1-1111-1-11
χ161111111111111111-1111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1111-1-111-1-1-1-11111-11-1-11111-111-1
χ17222222-1-12222-1-12222-1-1222-1-1-1-122-1-12200-12-122-1-1-1-1-1-1-1-1-1-1-1220222-1-1220000-1-122000000220000002-1-1-1-1-1-10-1-10000-1-12000-1-100-1000
χ18222222-1-12222-1-12222-1-1222-1-1-1-122-1-12200-12-122-1-1-1-1-1-1-1-1-1-1-12-20-22211220000-1-1-2-2000000-2-2000000-2-1-1-11110-1-1000011-200011001000
χ19222222-1-12222-1-12222-1-1222-1-1-1-122-1-1-2-200-12-122-1-1-1-1-1-1-1-1-1-1-1-2202-2-2-1-1-2-200001122000000-2-20000002111-1-1-10110000-1-1-200011001000
χ20222222-1-12222-1-12222-1-1222-1-1-1-122-1-1-2-200-12-122-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-211-2-2000011-2-200000022000000-21111110110000112000-1-100-1000
χ21222222-1-12222-1-122-22-1-1-2-22-1-1-1-122-1-12200-1-21-2-21111-1-1-11111-220-2-2-2-1-1220000-1-1-2-2000000220000002111-1-110-1-1000011-2000-1-1001000
χ22222222-1-12222-1-122-22-1-1-2-22-1-1-1-122-1-12200-1-21-2-21111-1-1-11111-2-202-2-211220000-1-122000000-2-2000000-211111-10-1-10000-1-120001100-1000
χ23222222-1-12222-1-122-22-1-1-2-22-1-1-1-122-1-1-2-200-1-21-2-21111-1-1-11111220-222-1-1-2-2000011-2-2000000-2-20000002-1-1-1-1-1101100001120001100-1000
χ24222222-1-12222-1-122-22-1-1-2-22-1-1-1-122-1-1-2-200-1-21-2-21111-1-1-111112-2022211-2-20000112200000022000000-2-1-1-111-10110000-1-1-2000-1-1001000
χ2522222-12222-1-122-122-12-122-122-1-1-1-12-10022-1-12-1-122-1-1-1-1-1-1-1-1-10222002200-1-12200-1-122000000220000-1000-1-12-100-1-1-1-1-1-102-1-100000-100
χ2622222-12222-1-122-122-12-122-122-1-1-1-12-10022-1-12-1-122-1-1-1-1-1-1-1-1-10-22-200-2-200-1-122001122000000-2-20000100011-2-100-1-1-1-1110-21100000100
χ2722222-12222-1-122-122-12-122-122-1-1-1-12-100-2-2-1-12-1-122-1-1-1-1-1-1-1-1-102-2200220011-2-200-1-1-2-2000000-2-20000-1000-1-121001111-1-10-21100000100
χ2822222-12222-1-122-122-12-122-122-1-1-1-12-100-2-2-1-12-1-122-1-1-1-1-1-1-1-1-10-2-2-200-2-20011-2-20011-2-2000000220000100011-210011111102-1-100000-100
χ2922222-12222-1-122-12-2-12-1-2-2-122-1-1-1-12-10022-11-211-2-211-1-1-1111102-2-2002200-1-1-2-2001122000000-2-20000-1000-1-1-2100-1-11111021100000-100
χ3022222-12222-1-122-12-2-12-1-2-2-122-1-1-1-12-10022-11-211-2-211-1-1-111110-2-2200-2-200-1-1-2-200-1-1220000002200001000112100-1-111-1-10-2-1-100000100
χ3122222-12222-1-122-12-2-12-1-2-2-122-1-1-1-12-100-2-2-11-211-2-211-1-1-11111022-200220011220011-2-2000000220000-1000-1-1-2-10011-1-1110-2-1-100000100
χ3222222-12222-1-122-12-2-12-1-2-2-122-1-1-1-12-100-2-2-11-211-2-211-1-1-111110-22200-2-200112200-1-1-2-2000000-2-200001000112-10011-1-1-1-1021100000-100
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χ342222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-1222-2-2-122-1-1-1-122-1-1-1-1-1-1-120-20-1-100-1-1-2-211220011-2-2-2-20000111102-1-1000-2-1-1111100000000110000
χ352222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-12-2-222-122-1-1-1-122-1-1-1-1-1-1-1-202011001122-1-1-2-200-1-1-2-2-2-2000011110-211000211-1-1-1-100000000110000
χ362222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-12-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-1-20-20110011-2-211-2-2001122220000-1-1-1-10-211000-211111100000000-1-10000
χ372222-1222-1-122222-1-2-1-1211-1-1-122-1-1-122222-1-2-21111-2-2-1-1-11111-20-201100-1-122112200-1-122-2-2000011110-211000-2-1-1-1-11100000000-1-10000
χ382222-1222-1-122222-1-2-1-1211-1-1-122-1-1-1222-2-2-1-2-21111-2-2-1-1-11111-20201100-1-1-2-2-1-1220011-2-2220000-1-1-1-10-2110002-1-111-1-100000000110000
χ392222-1222-1-122222-1-2-1-1211-1-1-122-1-1-12-2-222-1-2-21111-2-2-1-1-1111120-20-1-100112211-2-200-1-1-2-2220000-1-1-1-102-1-1000-211-1-11100000000110000
χ402222-1222-1-122222-1-2-1-1211-1-1-122-1-1-12-2-2-2-2-1-2-21111-2-2-1-1-111112020-1-10011-2-2-1-1-2-2001122-2-20000111102-1-100021111-1-100000000-1-10000
χ4122-2-22222-2-22-2-2-2-22022200-22-22-22-2-2-200002000000002-2-2000000000000000000000000002-22i−2i2i−2i22-2-20000000000000000002i−2i2i−2i000000
χ4222-2-22222-2-22-2-2-2-22022200-22-22-22-2-2-200002000000002-2-2000000000000000000000000002-2−2i2i−2i2i22-2-2000000000000000000−2i2i−2i2i000000
χ4322-2-22222-2-22-2-2-2-22022200-22-22-22-2-2-200002000000002-2-200000000000000000000000000-222i−2i−2i2i-2-222000000000000000000−2i2i2i−2i000000
χ4422-2-22222-2-22-2-2-2-22022200-22-22-22-2-2-200002000000002-2-200000000000000000000000000-22−2i2i2i−2i-2-2220000000000000000002i−2i−2i2i000000
χ452-22-2222-22-2-222-2-2-20222002-2-2-22-2-22-22-22i−2i200000000-22-20000000000002-22i−2i002-2002i−2i2i−2i0000000000000000002-22i−2i00000000002i−2i0000
χ462-22-2222-22-2-222-2-2-20222002-2-2-22-2-22-22-2−2i2i200000000-22-20000000000002-2−2i2i002-200−2i2i−2i2i0000000000000000002-2−2i2i0000000000−2i2i0000
χ472-22-2222-22-2-222-2-2-20222002-2-2-22-2-22-2-222i−2i200000000-22-2000000000000-222i−2i00-22002i−2i−2i2i000000000000000000-222i−2i0000000000−2i2i0000
χ482-22-2222-22-2-222-2-2-20222002-2-2-22-2-22-2-22−2i2i200000000-22-2000000000000-22−2i2i00-2200−2i2i2i−2i000000000000000000-22−2i2i00000000002i−2i0000
χ492-22-2-122-2-11-222-2-210-1-12−i3i3-111-2211-1-22-22i−2i-100−i3i3−i3i3001-11−i3−i3i3i30000−i3i300-112i−2i3−32-200−ii2i−2i0000003−33−300−i3i30000-11−ii3−300000000−ii0000
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χ512-22-2-122-2-11-222-2-210-1-12−i3i3-111-2211-1-2-222i−2i-100−i3i3−i3i3001-11−i3−i3i3i30000i3−i3001-12i−2i3−3-2200−ii−2i2i000000−33−3300i3−i300001-1−ii3−300000000i−i0000
χ522-22-2-122-2-11-222-2-210-1-12−i3i3-111-2211-1-2-22−2i2i-100−i3i3−i3i3001-11−i3−i3i3i30000i3−i3001-1−2i2i−33-2200i−i2i−2i0000003−33−300i3−i300001-1i−i−3300000000−ii0000
χ532-22-2-122-2-11-222-2-210-1-12i3−i3-111-2211-1-22-22i−2i-100i3−i3i3−i3001-11i3i3−i3−i30000i3−i300-112i−2i−332-200−ii2i−2i000000−33−3300i3−i30000-11−ii−3300000000−ii0000
χ542-22-2-122-2-11-222-2-210-1-12i3−i3-111-2211-1-22-2−2i2i-100i3−i3i3−i3001-11i3i3−i3−i30000i3−i300-11−2i2i3−32-200i−i−2i2i0000003−33−300i3−i30000-11i−i3−300000000i−i0000
χ552-22-2-122-2-11-222-2-210-1-12i3−i3-111-2211-1-2-222i−2i-100i3−i3i3−i3001-11i3i3−i3−i30000−i3i3001-12i−2i−33-2200−ii−2i2i0000003−33−300−i3i300001-1−ii−3300000000i−i0000
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χ5744444-2-2-244-2-2-2-2-244-2-2144-2-2-211-2-2-2100001-2-2-2-2-2-2111111111040400-2-200000000-2-200000000000000-200011-2000000011000000000000
χ5844444-2-2-244-2-2-2-2-244-2-2144-2-2-211-2-2-2100001-2-2-2-2-2-21111111110-40-400220000000022000000000000002000-1-120000000-1-1000000000000
χ5944444-2-2-244-2-2-2-2-24-4-2-21-4-4-2-2-211-2-2-2100001222222-1-1111-1-1-1-1040-400-2-2000000002200000000000000-20001120000000-1-1000000000000
χ6044444-2-2-244-2-2-2-2-24-4-2-21-4-4-2-2-211-2-2-2100001222222-1-1111-1-1-1-10-404002200000000-2-2000000000000002000-1-1-2000000011000000000000
χ614444-24-2-2-2-244-2-24-24-21-2-2-2-211-2-2-2-21-2440014-2-2-211-2-211111114000-2-200-2-20000-2-200000000000000000-211000011000000000000000000
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χ634444-24-2-2-2-244-2-24-2-4-21-222-211-2-2-2-21-244001-4222-1-122111-1-1-1-1-40002200-2-20000-2-2000000000000000002-1-1000011000000000000000000
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χ864-44-4-2-24-4-222-24-42201-2-22i3−2i31222-2-1-1-2200−4i4i100−i3i32i3−2i300-11-1−i3−i3i3i300000000002i−2i23−2300002i−2i0000000000000000000000−ii−3300000000000000
χ874-4-44444-4-44-4-4-444-4044400-4-44-4-4-44-440000400000000-4-440000000000000000000000000000000000000000000000000000000000000000
χ884-4-4444-22-44-4-42-24-404-2-200-42-222-442-20000-20000000022-20000000000−2i32i30000000000000000000000000000−2i32i30000000000000000000000
χ894-4-4444-22-44-4-42-24-404-2-200-42-222-442-20000-20000000022-200000000002i3−2i300000000000000000000000000002i3−2i30000000000000000000000
χ904-4-444-24-4-4422-44-2-40-24-2002-44222-2-4-20000-20000000022-200000000000000000000−2i32i30000000000000000000000000000−2i32i3000000000000
χ914-4-444-24-4-4422-44-2-40-24-2002-44222-2-4-20000-20000000022-2000000000000000000002i3−2i300000000000000000000000000002i3−2i3000000000000
χ924-4-444-2-22-44222-2-2-40-2-210022-2-1-12-221000010000003-3-1-113-33-3000000−2i32i300000000−2i32i3000000000000000000i3−i300000000i3−i3000000000000
χ934-4-444-2-22-44222-2-2-40-2-210022-2-1-12-221000010000003-3-1-113-33-30000002i3−2i3000000002i3−2i3000000000000000000−i3i300000000−i3i3000000000000
χ944-4-444-2-22-44222-2-2-40-2-210022-2-1-12-22100001000000-33-1-11-33-33000000−2i32i3000000002i3−2i3000000000000000000i3−i300000000−i3i3000000000000
χ954-4-444-2-22-44222-2-2-40-2-210022-2-1-12-22100001000000-33-1-11-33-330000002i3−2i300000000−2i32i3000000000000000000−i3i300000000i3−i3000000000000
χ964-4-44-244-42-2-4-4-44420-2-240022-2-4-42-2240000-20000000022-20000000000000000000000000000000023−23−23230000000000000000000000000000
χ974-4-44-244-42-2-4-4-44420-2-240022-2-4-42-2240000-20000000022-200000000000000000000000000000000−232323−230000000000000000000000000000
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
χ10088-8-88-4-4-4-8-8-4444480-4-42004-442-2-444-200002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-4-4448-844-8-40-42-40042-2-44-44-2400002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-48844-44-8-84-402-4-400-2-44-442-24400002000000002-2-20000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-444-44444-4022200-22-22-22-2-2-20000-100000000-111−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-4-444-44444-4022200-22-22-22-2-2-20000-100000000-1113i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1058-88-88-4-448-84-4-444-80-4-4200-444-2244-4-20000200000000-22-20000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-44-444-4-44440222−4i34i32-2-2-22-2-22-20000-1002i3−2i32i3−2i3001-11−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-44-444-4-444402224i3−4i32-2-2-22-2-22-20000-100−2i32i3−2i32i3001-11i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-444-4-8-84-4840-42-4004-22444-4-2-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48-84-444-88-4402-4-400-24-444-224-40000200000000-2-220000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-444-4444-4-44022200-2-22-2-2-22-220000-10000006-611-1-33-33000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-444-4444-4-44022200-2-22-2-2-22-220000-1000000-6611-13-33-3000000000000000000000000000000000000000000000000000000000000

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