Finite Group Databasebeta

← Group #11794312

Character table — Group #11794312

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order12222222223366666636666666666666666666446666121212121212121212121212121212124444444412121212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-11-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ922222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1020200220000-1-1-1-10000-1-1-1-1000000
χ1022222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-20-200-2-20000111100001111000000
χ1122222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2-2-2111111111111020200-2-20000-1-1-1-100001111000000
χ1222222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2-2-21111111111110-20-20022000011110000-1-1-1-1000000
χ132222222222-12-12-1-122-1-1-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-120202200-1-1-1-10000-1-1-1-10000000000
χ142222222222-12-12-1-122-1-1-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-20-20-2-2001111000011110000000000
χ152222222222-12-12-1-122-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-2-2-1-1-1-11111-2-2-2-2111111112020-2-200-1-1-1-1000011110000000000
χ162222222222-12-12-1-122-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-2-2-1-1-1-11111-2-2-2-211111111-20-20220011110000-1-1-1-10000000000
χ1722222-2-22-2-22222222222-2-2-22-2-2-2222222222-2-200-2-2-2-2000000000000000000000000000000000000000000002-2
χ1822222-2-22-2-22222222222-2-2-22-2-2-2222222222-2-200-2-2-2-200000000000000000000000000000000000000000000-22
χ192222-22-2-22-2222222222-222-2-22-2-2222-2-2-2-2-2-2-220022-2-2000000000000000020-20000022-2-2000000000000000000
χ202222-22-2-22-2222222222-222-2-22-2-2222-2-2-2-2-2-2-220022-2-20000000000000000-20200000-2-222000000000000000000
χ212222-22-2-22-2-12-12-1-122-11-1-11-22-2-2-1-1-1111-2111200-1-11133−3−300003333−3−3−3−320-200000-1-111000033−3−30000000000
χ222222-22-2-22-2-12-12-1-122-11-1-11-22-2-2-1-1-1111-2111200-1-11133−3−300003333−3−3−3−3-2020000011-1-10000−3−3330000000000
χ232222-22-2-22-2-12-12-1-122-11-1-11-22-2-2-1-1-1111-2111200-1-111−3−3330000−3−3−3−3333320-200000-1-1110000−3−3330000000000
χ242222-22-2-22-2-12-12-1-122-11-1-11-22-2-2-1-1-1111-2111200-1-111−3−3330000−3−3−3−33333-2020000011-1-1000033−3−30000000000
χ252222-2-22-2-22222222222-2-2-22-2-222222-2-2-2-2-2-22-200-2-2220000000000000000020-20000000022-2-200000000000000
χ262222-2-22-2-22222222222-2-2-22-2-222222-2-2-2-2-2-22-200-2-22200000000000000000-20200000000-2-22200000000000000
χ272222-2-22-2-222-12-122-1-1-1-2-2-2211-1-1-1-1-111-2111210011-1-1000033−3−333−3−333−3−3020-200000000-1-111000033−3−3000000
χ282222-2-22-2-222-12-122-1-1-1-2-2-2211-1-1-1-1-111-2111210011-1-1000033−3−333−3−333−3−30-2020000000011-1-10000−3−333000000
χ292222-2-22-2-222-12-122-1-1-1-2-2-2211-1-1-1-1-111-2111210011-1-10000−3−333−3−333−3−333020-200000000-1-1110000−3−333000000
χ302222-2-22-2-222-12-122-1-1-1-2-2-2211-1-1-1-1-111-2111210011-1-10000−3−333−3−333−3−3330-2020000000011-1-1000033−3−3000000
χ3122-2-222-2-2-222222-2-2-2-2222-2-2222-22-2-222-2-2-2-22-2002-22-2000000000000000000002-200000000002-22-20000000000
χ3222-2-222-2-2-222222-2-2-2-2222-2-2222-22-2-222-2-2-2-22-2002-22-200000000000000000000-220000000000-22-220000000000
χ3322-2-222-2-2-22-12-1211-2-2-1-1-111222-2-111-1-11-211-1-200-11-113−33−300003−33−33−33−300002-2003−33−30000-11-110000000000
χ3422-2-222-2-2-22-12-1211-2-2-1-1-111222-2-111-1-11-211-1-200-11-113−33−300003−33−33−33−30000-2200−33−3300001-11-10000000000
χ3522-2-222-2-2-22-12-1211-2-2-1-1-111222-2-111-1-11-211-1-200-11-11−33−330000−33−33−33−3300002-200−33−330000-11-110000000000
χ3622-2-222-2-2-22-12-1211-2-2-1-1-111222-2-111-1-11-211-1-200-11-11−33−330000−33−33−33−330000-22003−33−300001-11-10000000000
χ3722-2-22-22-22-22222-2-2-2-222-2222-2-222-2-222-2-2-2-2-2200-22-2200000000000000000000002-20000000000002-22-2000000
χ3822-2-22-22-22-22222-2-2-2-222-2222-2-222-2-222-2-2-2-2-2200-22-220000000000000000000000-22000000000000-22-22000000
χ3922-2-22-22-22-22-12-1-2-211-12-222-111-1-111-1-1-2111-2-1001-11-100003−33−33−3−33−333−30000002-200003−33−30000-11-11000000
χ4022-2-22-22-22-22-12-1-2-211-12-222-111-1-111-1-1-2111-2-1001-11-100003−33−33−3−33−333−3000000-220000−33−3300001-11-1000000
χ4122-2-22-22-22-22-12-1-2-211-12-222-111-1-111-1-1-2111-2-1001-11-10000−33−33−333−33−3−330000002-20000−33−330000-11-11000000
χ4222-2-22-22-22-22-12-1-2-211-12-222-111-1-111-1-1-2111-2-1001-11-10000−33−33−333−33−3−33000000-2200003−33−300001-11-1000000
χ4322-2-2-2222-2-22222-2-2-2-22-22-22-22-222-2-2-2-22222-2-22-22-2-222-2-222-2-222-22-2-22-22000000000000000000000000000000
χ4422-2-2-2222-2-22222-2-2-2-22-22-22-22-222-2-2-2-22222-2-2-222-2-22-222-2-222-2-22-222-22-2000000000000000000000000000000
χ4522-2-2-2222-2-22-12-1-2-211-1-22-221-11-1-111112-1-1-1-212-2-111-12-2-22-111-1-11-111-11-10000000000003−3−330000−333−3000000
χ4622-2-2-2222-2-22-12-1-2-211-1-22-221-11-1-111112-1-1-1-212-2-111-12-2-22-111-1-11-111-11-1000000000000−333−300003−3−33000000
χ4722-2-2-2222-2-22-12-1-2-211-1-22-221-11-1-111112-1-1-1-21-22-111-1-222-21-1-111-11-1-11-110000000000003−3−3300003−3−33000000
χ4822-2-2-2222-2-22-12-1-2-211-1-22-221-11-1-111112-1-1-1-21-22-111-1-222-21-1-111-11-1-11-11000000000000−333−30000−333−3000000
χ4922-2-2-2222-2-2-12-1211-2-2-11-11-1-22-22-11111-12-1-11-22-2-111-1-111-12-2-22-11-111-11-1000000003−3−330000−333−30000000000
χ5022-2-2-2222-2-2-12-1211-2-2-11-11-1-22-22-11111-12-1-11-22-2-111-1-111-12-2-22-11-111-11-100000000−333−300003−3−330000000000
χ5122-2-2-2222-2-2-12-1211-2-2-11-11-1-22-22-11111-12-1-11-2-22-111-11-1-11-222-21-11-1-11-11000000003−3−3300003−3−330000000000
χ5222-2-2-2222-2-2-12-1211-2-2-11-11-1-22-22-11111-12-1-11-2-22-111-11-1-11-222-21-11-1-11-1100000000−333−30000−333−30000000000
χ5322-2-2-2-2-22222222-2-2-2-22-2-22-2-2-22-22-2-2-2-222222200-222-200000000000000000000000000000000000000002i2i−2i−2i00
χ5422-2-2-2-2-22222222-2-2-2-22-2-22-2-2-22-22-2-2-2-222222200-222-20000000000000000000000000000000000000000−2i−2i2i2i00
χ554444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2441111-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ564444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2-4-4111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5744444-4-44-4-44-24-244-2-2-24-4-4-4-2222-2-2-2-2-24-2-2-2-420022220000000000000000000000000000000000000000000000
χ5844444-4-44-4-4-24-24-2-244-2-22224-4-4-4-2-2-2-2-2-24-2-22-40022220000000000000000000000000000000000000000000000
χ5944444-4-44-4-4-2-2-2-2-2-2-2-21-2222-222211111-2-2112200-1-1-1-10000000033-3-3-3-333000000000000000000000000000000
χ6044444-4-44-4-4-2-2-2-2-2-2-2-21-2222-222211111-2-2112200-1-1-1-100000000-3-33333-3-3000000000000000000000000000000
χ614444-44-4-44-44-24-244-2-2-2-444-42-222-2-2-222-4222-4-200-2-2220000000000000000000000000000000000000000000000
χ624444-44-4-44-4-2-2-2-2-2-2-2-212-2-222-222111-1-122-1-12-20011-1-12323−23−230000−3−3−3−33333000000000000000000000000000000
χ634444-44-4-44-4-2-2-2-2-2-2-2-212-2-222-222111-1-122-1-12-20011-1-1−23−23232300003333−3−3−3−3000000000000000000000000000000
χ644444-4-44-4-44-24-24-2-244-2222-2-4-444-2-2-2222-422-2-40022-2-20000000000000000000000000000000000000000000000
χ654444-4-44-4-44-2-2-2-2-2-2-2-21222-222-2-2111-1-122-1-1-2200-1-11100002323−23−23−3−333−3−333000000000000000000000000000000
χ664444-4-44-4-44-2-2-2-2-2-2-2-21222-222-2-2111-1-122-1-1-2200-1-1110000−23−23232333−3−333−3−3000000000000000000000000000000
χ6744-4-444-4-4-444-24-2-4-422-244-4-4-2-2-22-222-2-2-42224200-22-220000000000000000000000000000000000000000000000
χ6844-4-444-4-4-44-2-2-2-222221-2-222-2-2-221-1-11122-1-1-22001-11-123−2323−230000−33−33−33−33000000000000000000000000000000
χ6944-4-444-4-4-44-2-2-2-222221-2-222-2-2-221-1-11122-1-1-22001-11-1−2323−232300003−33−33−33−3000000000000000000000000000000
χ7044-4-44-44-44-4-24-2422-4-4-2-22-2-24-4-44-222-2-22-42224002-22-20000000000000000000000000000000000000000000000
χ7144-4-44-44-44-4-2-2-2-222221-22-2-2-222-21-1-11122-1-12-200-11-11000023−2323−23−333−33−3−33000000000000000000000000000000
χ7244-4-44-44-44-4-2-2-2-222221-22-2-2-222-21-1-11122-1-12-200-11-110000−2323−23233−3−33−333−3000000000000000000000000000000
χ7344-4-4-4444-4-4-2-2-2-2222212-22-22-22-21-1-1-1-1-2-211224-41-1-11-222-2-222-21-11-1-11-11000000000000000000000000000000
χ7444-4-4-4444-4-4-2-2-2-2222212-22-22-22-21-1-1-1-1-2-21122-441-1-112-2-222-2-22-11-111-11-1000000000000000000000000000000
χ7544-4-4-4-4-44444-24-2-4-422-2-4-44-422-22-222224-2-2-24-2002-2-220000000000000000000000000000000000000000000000
χ7644-4-4-4-4-4444-24-2422-4-4-222-22-4-44-4-22222-24-2-2-24002-2-220000000000000000000000000000000000000000000000
χ7744-4-4-4-4-4444-2-2-2-22222122-2222-221-1-1-1-1-2-211-2-200-111-1000000003-3-333-3-33000000000000000000000000000000
χ7844-4-4-4-4-4444-2-2-2-22222122-2222-221-1-1-1-1-2-211-2-200-111-100000000-333-3-333-3000000000000000000000000000000
χ794-44-400000044-4-44-44-4400000000-44-40000000000000000000000000000000000000000000000000000002i−2i2i−2i00
χ804-44-400000044-4-44-44-4400000000-44-4000000000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ814-4-4400000044-4-4-44-44400000000-4-440000000000000000000000000000000000000000000000000000002-2-2200
χ824-4-4400000044-4-4-44-44400000000-4-44000000000000000000000000000000000000000000000000000000-222-200
χ838-88-80000008-4-848-8-44-4000000004-44000000000000000000000000000000000000000000000000000000000000
χ848-88-8000000-484-8-448-8-4000000004-44000000000000000000000000000000000000000000000000000000000000
χ858-88-8000000-4-444-44-44200000000-22-26-6006-6000000000000000000000000000000000000000000000000000000
χ868-88-8000000-4-444-44-44200000000-22-2-6600-66000000000000000000000000000000000000000000000000000000
χ878-8-880000008-4-84-884-4-40000000044-4000000000000000000000000000000000000000000000000000000000000
χ888-8-88000000-484-84-4-88-40000000044-4000000000000000000000000000000000000000000000000000000000000
χ898-8-88000000-4-4444-44-4200000000-2-226-600-66000000000000000000000000000000000000000000000000000000
χ908-8-88000000-4-4444-44-4200000000-2-22-66006-6000000000000000000000000000000000000000000000000000000

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