Finite Group Databasebeta

← Group #13172655

Character table — Group #13172655

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order1222333666666666233366666666666222244366666666666666622222446666666612121212121212124444666666666666121212121212121224466121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111111111111111111111-111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-11-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-111-111-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-1111-111-1-111-11-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-11-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-1-11-1-1-1-11111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-11-11-1-111-1-111-1-1111111-1-111-1-1-1-111-1-11111-11-1-11111-1-11-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-11-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111-1-1-11-1-1-111-1-1111-11
χ71111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-1-111-1-11
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
χ91111111111111111-1111-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1
χ101111111111111111-1111-1-11111111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111
χ111111111111111111-1111-1-111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111111-111111-1-1-1-1-111
χ121111111111111111-1111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-11-1-111-1-111-111-1-111111-1-1
χ131111111111111111-1111-1-1111111111-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111-1-11-111-1-11111-111-1-111-1-11-11
χ141111111111111111-1111-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-111111-111-1-1-1-11-111111-1-111-11-1
χ151111111111111111-1111-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-11111-1
χ161111111111111111-1111-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-11111-1-1-1-11
χ17222222-122-1-1-1222222-1-1-1-122-1-1-1-12-1-1222200-12222-1-1-1-1-1-1-1-1-1-1-122220222222-1-1-1-1-1-1-1-100000000-1-1-1-100-1-1-1-10022-1-1-1-100200-1-1000000000
χ18222222-122-1-1-1222222-1-1-1-122-1-1-1-12-1-122-2-200-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-202-222-2-2-1-111-1-11100000000111100-1-111002-2-1-11100-20011000000000
χ19222222-122-1-1-1222222-1-1-1-122-1-1-1-12-1-1-2-22200-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20-22-2-22211-1-111-1-10000000011110011-1-100-2211-1-100-20011000000000
χ20222222-122-1-1-1222222-1-1-1-122-1-1-1-12-1-1-2-2-2-200-12222-1-1-1-1-1-1-1-1-1-1-122220-2-2-2-2-2-21111111100000000-1-1-1-100111100-2-2111100200-1-1000000000
χ21222222-122-1-1-12222-22-1-11122-1-1-1-12-1-1222200-1-2-2-2-21111-1-1-1111122220-2-22222-1-1-1-1111100000000-1-1-1-100-1-1-1-100-2-2111100-20011000000000
χ22222222-122-1-1-12222-22-1-11122-1-1-1-12-1-122-2-200-1-2-2-2-21111-1-1-11111-2-2-2-20-2222-2-2-1-11111-1-100000000111100-1-11100-2211-1-100200-1-1000000000
χ23222222-122-1-1-12222-22-1-11122-1-1-1-12-1-1-2-22200-1-2-2-2-21111-1-1-11111-2-2-2-202-2-2-22211-1-1-1-1110000000011110011-1-1002-2-1-11100200-1-1000000000
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χ2522222-122-122222-1-12-12-122-1-122-1-1-12-1002222-12-1-1-122-1-1-1-1-1-1-1-1-1000020200-1-10022002222-1-1002200002-100-1-1-1-10-100-1-1-1-10020000-1-1000-10
χ2622222-122-122222-1-12-12-122-1-122-1-1-12-10022-2-2-12-1-1-122-1-1-1-1-1-1-1-1-10000-20200-1-100220022-2-21100-2-20000-2100-1-1110-100-1-11100-200001100010
χ2722222-122-122222-1-12-12-122-1-122-1-1-12-100-2-222-12-1-1-122-1-1-1-1-1-1-1-1-1000020-2001100-2-200-2-222-1-100-2-200002-10011-1-1010011-1-100-200001100010
χ2822222-122-122222-1-12-12-122-1-122-1-1-12-100-2-2-2-2-12-1-1-122-1-1-1-1-1-1-1-1-10000-20-2001100-2-200-2-2-2-21100220000-21001111010011110020000-1-1000-10
χ2922222-122-122222-1-1-2-12-1-2-2-1-122-1-1-12-1002222-1-2111-2-211-1-1-111110000-20-200-1-1002200-2-222-1-100220000-2100-1-111010011-1-100-20000-1-100010
χ3022222-122-122222-1-1-2-12-1-2-2-1-122-1-1-12-10022-2-2-1-2111-2-211-1-1-11111000020-200-1-1002200-2-2-2-21100-2-200002-100-1-1-1-101001111002000011000-10
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χ362222-122-12222-1-1222-1-1222-1-1-1-122-1-12-2-200-2-2-1-12-1-1-1-122-1-1-1-1-1-1-10000-2-201100-2-200-2-20011-2-2220000001-21100111011001102000-1-10000-100
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χ382222-122-12222-1-122-2-1-12-2-2-1-1-1-122-1-122200-2-2-11-21111-2-2-1-1-1111100002-20-1-1002200-2-20011-2-2-2-2000000-12-1-100-1-11011001102000110000-100
χ392222-122-12222-1-122-2-1-12-2-2-1-1-1-122-1-12-2-20022-11-21111-2-2-1-1-111110000-2201100-2-2002200-1-122-2-20000001-2110011-10-1-100-1-102000110000-100
χ402222-122-12222-1-122-2-1-12-2-2-1-1-1-122-1-12-2-200-2-2-11-21111-2-2-1-1-1111100002201100-2-200220011-2-222000000-121100-1-1-10-1-100110-2000-1-10000100
χ4122-2-2222222-2-2-2-2-2-20222002-22-22-2-2-2-20000002000000002-2-2000022-2-200000000000000000002i−2i2i−2i22-2-20000000000000000000002i−2i2i−2i00000
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χ482-22-2222-2-2-2-222-22-2022200-22-2-2-2-2-222-22-2200200000000-22-200002-22-2000-22-22-22-220000000000002-22-200-22-22000000000000000000000000
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χ512-22-222-1-2-211-12-22-202-1-1−i3i3-221111-2-1-1-222-200-10000−i3i3−i3i31-11−i3−i3i3i3-22-22000-222-21-1-11i3−i3−i3i3000000001-11-1001-1-110000i3−i3−i3i300000i3−i3000000000
χ522-22-222-1-2-211-12-22-202-1-1−i3i3-221111-2-1-1-22-2200-10000−i3i3−i3i31-11−i3−i3i3i32-22-2000-22-221-11-1i3−i3i3−i300000000-11-11001-11-10000i3−i3i3−i300000−i3i3000000000
χ532-22-222-1-2-211-12-22-202-1-1i3−i3-221111-2-1-12-22-200-10000i3−i3i3−i31-11i3i3−i3−i32-22-20002-22-2-11-11i3−i3i3−i300000000-11-1100-11-110000i3−i3i3−i300000i3−i3000000000
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χ582-2-22222-2-2-22-2-22-22022200-2-2-22-222-2-200002-2200000000-2-220000-222-20000000000000002-22-20000-222-2000000000000002-2000000000-22000
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χ884-44-4-24-22-422-2-224-40-21-2−2i32i32-2-1-12221-2-44000010000i3−i3−2i32i3-11-1i3i3−i3−i300000002-2002-2002i3−2i30000000000000000-11000000−i3i3000000000000000000
χ894-44-4-24-22-422-2-224-40-21-22i3−2i32-2-1-12221-24-4000010000−i3i32i3−2i3-11-1−i3−i3i3i30000000-2200-22002i3−2i300000000000000001-1000000−i3i3000000000000000000
χ904-44-4-24-22-422-2-224-40-21-22i3−2i32-2-1-12221-2-44000010000−i3i32i3−2i3-11-1−i3−i3i3i300000002-2002-200−2i32i30000000000000000-11000000i3−i3000000000000000000
χ914-4-4444-2-4-42-22-44-4404-2-200-4-42-22-2422000000-20000000022-200004-4-4400000000000000000000000-222-2000000000000000000000000000000
χ924-4-4444-2-4-42-22-44-4404-2-200-4-42-22-2422000000-20000000022-20000-444-4000000000000000000000002-2-22000000000000000000000000000000
χ934-4-444-24-42-44-4-442-20-24-20022-442-2-2-4200004-4-20000000022-2000000000000000000000004-4-220000000000000000000000-2200000000000000
χ944-4-444-24-42-44-4-442-20-24-20022-442-2-2-420000-44-20000000022-200000000000000000000000-442-200000000000000000000002-200000000000000
χ954-4-44-2442-4-44-42-2-440-2-2400222-2-44-22-400004-4-20000000022-200000000000000000000000-224-40000000000000000000000-2200000000000000
χ964-4-44-2442-4-44-42-2-440-2-2400222-2-44-22-40000-44-20000000022-2000000000000000000000002-2-4400000000000000000000002-200000000000000
χ974-4-44-2-2422-44-42-22-201-2-200-1-12-22-212200004-41003-30000-1-113-33-30000000000000000000-22-22000000000000003-30000001-100000000000000
χ984-4-44-2-2422-44-42-22-201-2-200-1-12-22-212200004-4100-330000-1-11-33-330000000000000000000-22-2200000000000000-330000001-100000000000000
χ994-4-44-2-2422-44-42-22-201-2-200-1-12-22-21220000-441003-30000-1-113-33-300000000000000000002-22-200000000000000-33000000-1100000000000000
χ1004-4-44-2-2422-44-42-22-201-2-200-1-12-22-21220000-44100-330000-1-11-33-3300000000000000000002-22-2000000000000003-3000000-1100000000000000
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
χ10388-8-88-4-48-4-444-8-8440-4-4200-44-442-244-20000002000000002-2-200000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-4-48-44444-8-80-42-400-442-2-444-240000002000000002-2-200000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-48-4-48-8-8444402-4-4002-2-44-44-2440000002000000002-2-200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-4-4-44444440222002-22-22-2-2-2-2000000-100000000-111−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-4-4-4-44444440222002-22-22-2-2-2-2000000-100000000-1113i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4844-8-88-44-4402-4-400-224444-2-4-4000000200000000-22-200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-44444-4-44-440222−4i34i3-22-2-2-2-2-222000000-100002i3−2i32i3−2i31-11−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44444-4-44-4402224i3−4i3-22-2-2-2-2-222000000-10000−2i32i3−2i32i31-11i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000
χ1118-8-888-4-4-844-44-884-40-4-4200444-4-22-44-2000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-44-84-444-4-880-42-40044-224-4-4-24000000200000000-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444-444-44-4022200-2-2-22-222-2-2000000-1006-6000011-1-33-330000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444-444-44-4022200-2-2-22-222-2-2000000-100-66000011-13-33-30000000000000000000000000000000000000000000000000000000000000

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