Finite Group Databasebeta

← Group #13172665

Character table — Group #13172665

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order1222333666666666233366666666666222222366666666666666644466666666666612121212444412121212666666121212121212121212122244666612124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111111111111111111-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-1-11-11-111-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-11-1-1111111-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1111-1-111-11-11-1-111-1-1-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ51111111111111111111111111111111-1-111111111111111111111-1111111-1-1-1-11111111111111111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-11-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1-11-11-1-111-1-111-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-11-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1111-11-111-1-1-1-1111-11
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
χ91111111111111111-1111-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11
χ101111111111111111-1111-1-11111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-11111111111-1-1-1-1-11-1-1-1-1111-1-1111-1-1-1-111-11-1
χ111111111111111111-1111-1-111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1-1111111-1-11111-1-1-1-111111111-1-111-1-11-1-1-111-1-1-111-1-1-111-1-1111-1-1
χ121111111111111111-1111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111
χ131111111111111111-1111-1-1111111111-1-111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1111111-1
χ141111111111111111-1111-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-1111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-111-1-111-1111-1-111-111-1-1-111-1-1-1-11-11
χ151111111111111111-1111-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111-11111-1-11-1-1111-1-1-1-1-1-1-111
χ161111111111111111-1111-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1
χ17222222-12222-1-12-1222-1-12222-1-1-1-12-1-1220022-12-122-1-1-1-1-1-1-1-1-1-1-1202002222-1-100-1-1002200000000-1-100-1-12-10-1-1-100-1-1020200-1-100000-10
χ18222222-12222-1-12-1222-1-12222-1-1-1-12-1-12200-2-2-12-122-1-1-1-1-1-1-1-1-1-1-120-200-2-222-1-1001100-2-200000000-1-100112-101-1-100110-20-200110000010
χ19222222-12222-1-12-1222-1-12222-1-1-1-12-1-1-2-20022-12-122-1-1-1-1-1-1-1-1-1-1-1-2020022-2-21100-1-10022000000001100-1-1-210-11100-1-10-20-200110000010
χ20222222-12222-1-12-1222-1-12222-1-1-1-12-1-1-2-200-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-20-200-2-2-2-211001100-2-200000000110011-2101110011020200-1-100000-10
χ21222222-12222-1-12-12-22-1-1-2-222-1-1-1-12-1-1220022-1-21-2-21111-1-1-11111-20-2002222-1-100-1-100-2-200000000-1-100-1-1-2101110011020-200-1-10000010
χ22222222-12222-1-12-12-22-1-1-2-222-1-1-1-12-1-12200-2-2-1-21-2-21111-1-1-11111-20200-2-222-1-10011002200000000-1-10011-210-11100-1-10-202001100000-10
χ23222222-12222-1-12-12-22-1-1-2-222-1-1-1-12-1-1-2-20022-1-21-2-21111-1-1-1111120-20022-2-21100-1-100-2-2000000001100-1-12-101-1-100110-202001100000-10
χ24222222-12222-1-12-12-22-1-1-2-222-1-1-1-12-1-1-2-200-2-2-1-21-2-21111-1-1-1111120200-2-2-2-21100110022000000001100112-10-1-1-100-1-1020-200-1-10000010
χ2522222-1222-1-122-1222-12-122-1-122-1-1-12-1222200-1-12-1-122-1-1-1-1-1-1-1-1-12202200-1-122-1-100220000000000-1-1-1-100-12-10-1-1-1-1002020-1-1000000-100
χ2622222-1222-1-122-1222-12-122-1-122-1-1-12-122-2-200-1-12-1-122-1-1-1-1-1-1-1-1-12-20-2-200-1-1221100-2-20000000000-1-11100-1210-1-11100-20-2011000000100
χ2722222-1222-1-122-1222-12-122-1-122-1-1-12-1-2-22200-1-12-1-122-1-1-1-1-1-1-1-1-1-220220011-2-2-1-10022000000000011-1-1001-2-1011-1-100-20-2011000000100
χ2822222-1222-1-122-1222-12-122-1-122-1-1-12-1-2-2-2-200-1-12-1-122-1-1-1-1-1-1-1-1-1-2-20-2-20011-2-21100-2-200000000001111001-2101111002020-1-1000000-100
χ2922222-1222-1-122-122-2-12-1-2-2-1-122-1-1-12-1222200-11-211-2-211-1-1-11111-2-202200-1-122-1-100-2-20000000000-1-1-1-1001-21011110020-20-1-1000000100
χ3022222-1222-1-122-122-2-12-1-2-2-1-122-1-1-12-122-2-200-11-211-2-211-1-1-11111-220-2-200-1-1221100220000000000-1-111001-2-1011-1-100-202011000000-100
χ3122222-1222-1-122-122-2-12-1-2-2-1-122-1-1-12-1-2-22200-11-211-2-211-1-1-111112-20220011-2-2-1-100-2-2000000000011-1-100-1210-1-11100-202011000000-100
χ3222222-1222-1-122-122-2-12-1-2-2-1-122-1-1-12-1-2-2-2-200-11-211-2-211-1-1-11111220-2-20011-2-21100220000000000111100-12-10-1-1-1-10020-20-1-1000000100
χ332222-122-1-1222222-12-1-12-1-1-1-1-1-122-1-12002222-122-1-1-1-122-1-1-1-1-1-1-1022-1-1-1-100002222-1-1-1-12222-1-1-1-100-1-1-1-1002200-1-1-1-100000000-1-100000
χ342222-122-1-1222222-12-1-12-1-1-1-1-1-122-1-120022-2-2-122-1-1-1-122-1-1-1-1-1-1-102-2-1-111000022-2-2-1-111-2-2-2-2111100-1-111002-200-1-111000000001100000
χ352222-122-1-1222222-12-1-12-1-1-1-1-1-122-1-1200-2-222-122-1-1-1-122-1-1-1-1-1-1-10-2211-1-10000-2-22211-1-1-2-2-2-211110011-1-100-220011-1-1000000001100000
χ362222-122-1-1222222-12-1-12-1-1-1-1-1-122-1-1200-2-2-2-2-122-1-1-1-122-1-1-1-1-1-1-10-2-211110000-2-2-2-211112222-1-1-1-100111100-2-200111100000000-1-100000
χ372222-122-1-1222222-1-2-1-1211-1-1-1-122-1-12002222-1-2-21111-2-2-1-1-111110-2-2-1-1-1-100002222111122-2-2111100-1-1-1-100-2-200111100000000-1-100000
χ382222-122-1-1222222-1-2-1-1211-1-1-1-122-1-120022-2-2-1-2-21111-2-2-1-1-111110-22-1-111000022-2-211-1-1-2-222-1-1-1-100-1-11100-220011-1-1000000001100000
χ392222-122-1-1222222-1-2-1-1211-1-1-1-122-1-1200-2-222-1-2-21111-2-2-1-1-1111102-211-1-10000-2-222-1-111-2-222-1-1-1-10011-1-1002-200-1-111000000001100000
χ402222-122-1-1222222-1-2-1-1211-1-1-1-122-1-1200-2-2-2-2-1-2-21111-2-2-1-1-1111102211110000-2-2-2-2-1-1-1-122-2-21111001111002200-1-1-1-100000000-1-100000
χ4122-2-22222-22-22-2-2-2-20222002-22-2-2-2-2-222-200002000000002-2-2000000000002-22-200000000002i−2i2i2i−2i−2i2-20000000000000000000000002i−2i000
χ4222-2-22222-22-22-2-2-2-20222002-22-2-2-2-2-222-200002000000002-2-2000000000002-22-20000000000−2i2i−2i−2i2i2i2-2000000000000000000000000−2i2i000
χ4322-2-22222-22-22-2-2-2-20222002-22-2-2-2-2-22-2200002000000002-2-200000000000-22-2200000000002i−2i2i2i−2i−2i-22000000000000000000000000−2i2i000
χ4422-2-22222-22-22-2-2-2-20222002-22-2-2-2-2-22-2200002000000002-2-200000000000-22-220000000000−2i2i−2i−2i2i2i-220000000000000000000000002i−2i000
χ452-2-22222-2-2-22-22-2-22022200-2-2-2-22-222-2002-22-2200000000-22-200000002-22-200002-22-200002-2000000002-22-20000000000000000002-200000
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χ472-2-22222-2-2-22-22-2-22022200-2-2-2-22-222-200-222-2200000000-22-20000000-222-20000-222-20000-2200000000-222-2000000000000000000-2200000
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χ492-2-22-12211-22-22-2-2-10-1-12−i3i311112-2-1-1-2002-22-2-100−i3i3−i3i3001-11−i3−i3i3i3000-11-1100002-22-2−i3i3−i3i32-200−i3i3−i3i300-11-11000000−i3i3−i3i300000000-1100000
χ502-2-22-12211-22-22-2-2-10-1-12−i3i311112-2-1-1-2002-2-22-100−i3i3−i3i3001-11−i3−i3i3i3000-111-100002-2-22−i3i3i3−i3-2200i3−i3i3−i300-111-1000000−i3i3i3−i3000000001-100000
χ512-2-22-12211-22-22-2-2-10-1-12−i3i311112-2-1-1-200-222-2-100−i3i3−i3i3001-11−i3−i3i3i30001-1-110000-222-2i3−i3−i3i3-2200i3−i3i3−i3001-1-11000000i3−i3−i3i3000000001-100000
χ522-2-22-12211-22-22-2-2-10-1-12−i3i311112-2-1-1-200-22-22-100−i3i3−i3i3001-11−i3−i3i3i30001-11-10000-22-22i3−i3i3−i32-200−i3i3−i3i3001-11-1000000i3−i3i3−i300000000-1100000
χ532-2-22-12211-22-22-2-2-10-1-12i3−i311112-2-1-1-2002-22-2-100i3−i3i3−i3001-11i3i3−i3−i3000-11-1100002-22-2i3−i3i3−i32-200i3−i3i3−i300-11-11000000i3−i3i3−i300000000-1100000
χ542-2-22-12211-22-22-2-2-10-1-12i3−i311112-2-1-1-2002-2-22-100i3−i3i3−i3001-11i3i3−i3−i3000-111-100002-2-22i3−i3−i3i3-2200−i3i3−i3i300-111-1000000i3−i3−i3i3000000001-100000
χ552-2-22-12211-22-22-2-2-10-1-12i3−i311112-2-1-1-200-222-2-100i3−i3i3−i3001-11i3i3−i3−i30001-1-110000-222-2−i3i3i3−i3-2200−i3i3−i3i3001-1-11000000−i3i3i3−i3000000001-100000
χ562-2-22-12211-22-22-2-2-10-1-12i3−i311112-2-1-1-200-22-22-100i3−i3i3−i3001-11i3i3−i3−i30001-11-10000-22-22−i3i3−i3i32-200i3−i3i3−i3001-11-1000000−i3i3−i3i300000000-1100000
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χ5944444-2-244-2-2-2-2-2-24-4-2-21-4-4-2-2-2-211-2-214400001222222-1-1111-1-1-1-1-4000000-2-2-2-200000000000000001100002200-1-10000000000000000000
χ6044444-2-244-2-2-2-2-2-24-4-2-21-4-4-2-2-2-211-2-21-4-400001222222-1-1111-1-1-1-1400000022220000000000000000-1-10000-2-200110000000000000000000
χ614444-24-2-2-244-2-24-2-24-21-2-2-2-2-211-2-2-21-200004414-2-2-211-2-2111111100400-2-2000000-2-200-2-200000000000011000-2000011000000000000000
χ624444-24-2-2-244-2-24-2-24-21-2-2-2-2-211-2-2-21-20000-4-414-2-2-211-2-2111111100-40022000000220022000000000000-1-100020000-1-1000000000000000
χ634444-24-2-2-244-2-24-2-2-4-21-222-2-211-2-2-21-20000441-4222-1-122111-1-1-1-100-400-2-2000000-2-200220000000000001100020000-1-1000000000000000
χ644444-24-2-2-244-2-24-2-2-4-21-222-2-211-2-2-21-20000-4-41-4222-1-122111-1-1-1-100400220000002200-2-2000000000000-1-1000-2000011000000000000000
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χ904-4-44-24-222-442-2-42-20-21-2−2i32i322-1-1-22-21200004-4100−2i32i3i3−i300-11-1i3i3−i3−i300000-22000000-2200−2i32i30000000000001-100000000i3−i3000000000000000
χ914-4-44-24-222-442-2-42-20-21-2−2i32i322-1-1-22-2120000-44100−2i32i3i3−i300-11-1i3i3−i3−i3000002-20000002-2002i3−2i3000000000000-1100000000−i3i3000000000000000
χ924-4-44-24-222-442-2-42-20-21-22i3−2i322-1-1-22-21200004-41002i3−2i3−i3i300-11-1−i3−i3i3i300000-22000000-22002i3−2i30000000000001-100000000−i3i3000000000000000
χ934-4-44-24-222-442-2-42-20-21-22i3−2i322-1-1-22-2120000-441002i3−2i3−i3i300-11-1−i3−i3i3i3000002-20000002-200−2i32i3000000000000-1100000000i3−i3000000000000000
χ944-4-44-2-24222-2-442-4-201-2-2−2i32i3-1-122-221-22004-400100i3−i3−2i32i300-11-1i3i3−i3−i3000-22000000-2200−2i32i30000000000001-100000000i3−i300000000000000000
χ954-4-44-2-24222-2-442-4-201-2-2−2i32i3-1-122-221-2200-4400100i3−i3−2i32i300-11-1i3i3−i3−i30002-20000002-2002i3−2i3000000000000-1100000000−i3i300000000000000000
χ964-4-44-2-24222-2-442-4-201-2-22i3−2i3-1-122-221-22004-400100−i3i32i3−2i300-11-1−i3−i3i3i3000-22000000-22002i3−2i30000000000001-100000000−i3i300000000000000000
χ974-4-44-2-24222-2-442-4-201-2-22i3−2i3-1-122-221-2200-4400100−i3i32i3−2i300-11-1−i3−i3i3i30002-20000002-200−2i32i3000000000000-1100000000i3−i300000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4222222222000000-1-4-4222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4-822244222222222000000-144-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-4-448-8-44-8440-42-400-442-2444-2-40000002000000002-2-200000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-48-44-448-84-8402-4-4002-2-4444-24-40000002000000002-2-200000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-44-44-444440222002-22-2-2-2-2-22000000-10000006-6-111-33-330000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-44-44-444440222002-22-2-2-2-2-22000000-1000000-66-1113-33-30000000000000000000000000000000000000000000000000000000000
χ1048-88-88-4-4-884444-4-4-80-4-42004-44-4-2244-2000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-48-44-4-8-8448-440-42-4004-4-224-44-24000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-484-444-8-8-48402-4-400-224-44-4-244000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-44-44444-4-44022200-22-22-22-2-2-2000000-10000000011-1−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-44-44444-4-44022200-22-22-22-2-2-2000000-10000000011-13i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000
χ1098-8-888-4-4-8-84-44-44480-4-420044442-2-4-4-2000000200000000-22-200000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4444-44-444-40222−4i34i3-2-2-2-22-222-2000000-1002i3−2i32i3−2i3001-11−i3−i3i3i30000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4444-44-444-402224i3−4i3-2-2-2-22-222-2000000-100−2i32i3−2i32i3001-11i3i3−i3−i30000000000000000000000000000000000000000000000000000000000

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