Finite Group Databasebeta

← Group #13172658

Character table — Group #13172658

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order122233366666666623336666666666622224436666666666666662222444666666661212121212121212444466666666121212121212121212121212222661212121244664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111111111-1111111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-11-1111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-11-11111-1-11111-11-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-111-1-111-1-111-1-1111111-1-111-1-1-1-1-1-111-1111-1-1111111-1-11-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-11-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-11-1-1-111-1-1111-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-1-1-1-111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111-1111-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1
χ101111111111111111-1111-1-11111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1111
χ111111111111111111-1111-1-111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-11-1-1-1-11111-1-11-111111-1-1-1-1-111
χ121111111111111111-1111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-111-1-11111-111-1-111111-1-1
χ131111111111111111-1111-1-1111111111-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-111-1-1-1-1-1-1111-1-1-111-1-111-1-111-111-1-111-1-11-11
χ141111111111111111-1111-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-1111-111111-1-111-11-1
χ151111111111111111-1111-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-111-1-1-1-1-1-11111-1
χ161111111111111111-1111-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-11111-1-1-1-11
χ17222222-122-1-122-12222-1-1-1-12-1-1-1-122-1-1222200-12222-1-1-1-1-1-1-1-1-1-1-122222202222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-12200-1-1-1-10000200-1-1000000000
χ18222222-122-1-122-12222-1-1-1-12-1-1-1-122-1-122-2-200-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-2022-2-2-1-111-1-111000000001111-1-1112-200-1-1110000-20011000000000
χ19222222-122-1-122-12222-1-1-1-12-1-1-1-122-1-1-2-22200-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-220-2-22211-1-111-1-100000000111111-1-1-220011-1-10000-20011000000000
χ20222222-122-1-122-12222-1-1-1-12-1-1-1-122-1-1-2-2-2-200-12222-1-1-1-1-1-1-1-1-1-1-12222-2-20-2-2-2-21111111100000000-1-1-1-11111-2-20011110000200-1-1000000000
χ21222222-122-1-122-122-22-1-1112-1-1-1-122-1-1222200-1-2-2-2-21111-1-1-111112222-2-202222-1-1-1-1111100000000-1-1-1-1-1-1-1-1-2-20011110000-20011000000000
χ22222222-122-1-122-122-22-1-1112-1-1-1-122-1-122-2-200-1-2-2-2-21111-1-1-11111-2-2-2-2-22022-2-2-1-11111-1-1000000001111-1-111-220011-1-10000200-1-1000000000
χ23222222-122-1-122-122-22-1-1112-1-1-1-122-1-1-2-22200-1-2-2-2-21111-1-1-11111-2-2-2-22-20-2-22211-1-1-1-11100000000111111-1-12-200-1-1110000200-1-1000000000
χ24222222-122-1-122-122-22-1-1112-1-1-1-122-1-1-2-2-2-200-1-2-2-2-21111-1-1-111112222220-2-2-2-21111-1-1-1-100000000-1-1-1-111112200-1-1-1-10000-20011000000000
χ2522222-122-1222-122-12-12-122-122-1-1-1-12-1002222-12-1-1-122-1-1-1-1-1-1-1-1-1000002200-1-10022002222-1-10022000000-1-10-12-100-1-1-1-1-1-10020000-1-1000-10
χ2622222-122-1222-122-12-12-122-122-1-1-1-12-10022-2-2-12-1-1-122-1-1-1-1-1-1-1-1-1000002-200-1-100220022-2-21100-2-2000000-1-10-1-2100-1-1111100-200001100010
χ2722222-122-1222-122-12-12-122-122-1-1-1-12-100-2-222-12-1-1-122-1-1-1-1-1-1-1-1-100000-22001100-2-200-2-222-1-100-2-200000011012-10011-1-1-1-100-200001100010
χ2822222-122-1222-122-12-12-122-122-1-1-1-12-100-2-2-2-2-12-1-1-122-1-1-1-1-1-1-1-1-100000-2-2001100-2-200-2-2-2-21100220000001101-21001111110020000-1-1000-10
χ2922222-122-1222-122-1-2-12-1-2-2-122-1-1-1-12-1002222-1-2111-2-211-1-1-1111100000-2-200-1-1002200-2-222-1-10022000000-1-101-210011-1-11100-20000-1-100010
χ3022222-122-1222-122-1-2-12-1-2-2-122-1-1-1-12-10022-2-2-1-2111-2-211-1-1-1111100000-2200-1-1002200-2-2-2-21100-2-2000000-1-1012-1001111-1-1002000011000-10
χ3122222-122-1222-122-1-2-12-1-2-2-122-1-1-1-12-100-2-222-1-2111-2-211-1-1-11111000002-2001100-2-2002222-1-100-2-2000000110-1-2100-1-1-1-111002000011000-10
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χ342222-122-1222-122-122-1-1222-1-1-122-1-1-122200-2-2-1-12-1-1-1-122-1-1-1-1-1-1-1000020-2-1-1002200220011-2-2-2-2000000-1-100-101-2-1-10011110-2000110000100
χ352222-122-1222-122-122-1-1222-1-1-122-1-1-12-2-20022-1-12-1-1-1-122-1-1-1-1-1-1-10000-2021100-2-200-2-200-1-122-2-2000000110010-121100-1-1-1-10-2000110000100
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χ372222-122-1222-122-12-2-1-12-2-2-1-1-122-1-1-12220022-11-21111-2-2-1-1-111110000-20-2-1-1002200-2-200-1-12222000000-1-100101-21100-1-1110-2000-1-10000100
χ382222-122-1222-122-12-2-1-12-2-2-1-1-122-1-1-122200-2-2-11-21111-2-2-1-1-111110000-202-1-1002200-2-20011-2-2-2-2000000-1-10010-12110011-1-102000110000-100
χ392222-122-1222-122-12-2-1-12-2-2-1-1-122-1-1-12-2-20022-11-21111-2-2-1-1-11111000020-21100-2-2002200-1-122-2-20000001100-101-2-1-100-1-11102000110000-100
χ402222-122-1222-122-12-2-1-12-2-2-1-1-122-1-1-12-2-200-2-2-11-21111-2-2-1-1-1111100002021100-2-200220011-2-2220000001100-10-12-1-10011-1-10-2000-1-10000100
χ4122-2-2222222-2-2-2-2-2-202220022-22-2-2-2-2-200002i−2i2000000002-2-2000022-2-20000000000000002i−2i2i−2i000022-2-20000000000002i−2i000000000002i−2i000
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χ482-22-2222-2-2-2-2222-2-2022200-2-2-2-2-22-222-22-2200200000000-22-200002-22-2000-22-22-22-220000000000002-22-2-22-2200000000000000000000000000
χ492-22-222-1-2-21122-1-2-202-1-1−i3i3-211112-2-1-12-22-200-10000−i3i3−i3i31-11−i3−i3i3i32-22-20002-22-2-11-11−i3i3−i3i300000000-11-11-11-110000−i3i3−i3i30000000−i3i3000000000
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χ512-22-222-1-2-21122-1-2-202-1-1−i3i3-211112-2-1-1-222-200-10000−i3i3−i3i31-11−i3−i3i3i3-22-22000-222-21-1-11i3−i3−i3i3000000001-11-11-1-110000i3−i3−i3i30000000i3−i3000000000
χ522-22-222-1-2-21122-1-2-202-1-1−i3i3-211112-2-1-1-22-2200-10000−i3i3−i3i31-11−i3−i3i3i32-22-2000-22-221-11-1i3−i3i3−i300000000-11-111-11-10000i3−i3i3−i30000000−i3i3000000000
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χ874-44-44-2-2-42224-2-2-420-2-212i3−2i3222-1-1-22-21004-400100002i3−2i3−i3i3-11-1−i3−i3i3i3000000000-2200-22002i3−2i3000000000000001-1000000−i3i3000000000000000000
χ884-44-44-2-2-42224-2-2-420-2-212i3−2i3222-1-1-22-2100-4400100002i3−2i3−i3i3-11-1−i3−i3i3i30000000002-2002-200−2i32i300000000000000-11000000i3−i3000000000000000000
χ894-44-4-2442-4-4-4-2442-40-2-2400222-4-4-22-244-40000-2000000002-2200000000000-22004-4000000000000000000-220000000000000000000000000000
χ904-44-4-2442-4-4-4-2442-40-2-2400222-4-4-22-24-440000-2000000002-22000000000002-200-440000000000000000002-20000000000000000000000000000
χ914-44-4-24-22-422-24-22-40-21-2−2i32i32-1-122-221-24-4000010000i3−i3−2i32i3-11-1i3i3−i3−i30000000-2200-2200−2i32i3000000000000001-1000000i3−i300000000000000000000
χ924-44-4-24-22-422-24-22-40-21-2−2i32i32-1-122-221-2-44000010000i3−i3−2i32i3-11-1i3i3−i3−i300000002-2002-2002i3−2i300000000000000-11000000−i3i300000000000000000000
χ934-44-4-24-22-422-24-22-40-21-22i3−2i32-1-122-221-24-4000010000−i3i32i3−2i3-11-1−i3−i3i3i30000000-2200-22002i3−2i3000000000000001-1000000−i3i300000000000000000000
χ944-44-4-24-22-422-24-22-40-21-22i3−2i32-1-122-221-2-44000010000−i3i32i3−2i3-11-1−i3−i3i3i300000002-2002-200−2i32i300000000000000-11000000i3−i300000000000000000000
χ954-4-4444-2-4-42-2-4-424404-2-200-42-22-2-4422000000-20000000022-200004-4-4400000000000000000000000-222-2000000000000000000000000000000
χ964-4-4444-2-4-42-2-4-424404-2-200-42-22-2-4422000000-20000000022-20000-444-4000000000000000000000002-2-22000000000000000000000000000000
χ974-4-444-24-42-44-42-44-20-24-2002-442-22-2-42000000-20000000022-2000000000000000000000000000004-4000000000000000000000000000-2200000
χ984-4-444-24-42-44-42-44-20-24-2002-442-22-2-42000000-20000000022-200000000000000000000000000000-440000000000000000000000000002-200000
χ994-4-44-2442-4-442-4-4-240-2-240022-2-442-22-4000000-20000000022-20000000000000000000000000004-4000000000000000000000000000-220000000
χ1004-4-44-2442-4-442-4-4-240-2-240022-2-442-22-4000000-20000000022-2000000000000000000000000000-440000000000000000000000000002-20000000
χ1018888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4222222222000000-1-4-4222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4-822244222222222000000-144-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-48-4-44-844-840-4-4200-4-442-2444-20000002000000002-2-200000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-4-48-444-844-80-42-400-42-2-4444-240000002000000002-2-200000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4-4-4-444444402220022-22-2-2-2-2-2000000-1006-60000-111-33-330000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-4-4-444444402220022-22-2-2-2-2-2000000-100-660000-1113-33-30000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4844-8-8-4-484402-4-400-244442-2-4-4000000200000000-22-200000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-44444-4-4-4440222−4i34i3-2-2-2-2-22-222000000-100002i3−2i32i3−2i31-11−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-44444-4-4-44402224i3−4i3-2-2-2-2-22-222000000-10000−2i32i3−2i32i31-11i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-4-844-4-8448-40-4-420044-4-224-44-2000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-44-84-44-84-480-42-4004-224-44-4-24000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4844-8844-8-4-402-4-400-24-44-4-2244000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444-4444-4-4022200-2-22-22-22-2-2000000-10000000011-1−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444-4444-4-4022200-2-22-22-22-2-2000000-10000000011-13i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000

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