Finite Group Databasebeta

← Group #13155953

Character table — Group #13155953

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222244444444444444444444488888888888888121212121212121212121212242424242424242424242424242424242424242424363636363636727272727272108108
order12233344666333666666661212121212121212121236666612121212121212122444661212121212126668121212121212121212242424242424242424661212481212242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1111-1-1-1-111111111-1-1-1-1-1-11-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1111-1-1-1111111111111-1-1-1-1-1-1-11-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2002-2000022-2-200002-200022-2-20000000000000000000000
χ10222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200-220000-2-2220000-22000-2-2220000000000000000000000
χ1122222-1222-122-1-122-1-1-12-1-1-1-12-1-122222-12-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-10222-1-1-1-1-1-10000000022-1-1-1-100000000
χ1222222-1222-122-1-122-1-1-12-1-1-1-12-1-122222-12-1-1-1-12-1-1-1-1-1-1-122-2-2-1-1-1-111112-1-10-2-22-1-1111100000000-2-2111100000000
χ1322222-1222-122-1-122-1-1-12-1-1-1-12-1-122222-12-1-1-1-12-1-1-1-1-1-1-1-2-2221111-1-1-1-1-211022-211-1-1-1-100000000-2-2111100000000
χ1422222-1222-122-1-122-1-1-12-1-1-1-12-1-122222-12-1-1-1-12-1-1-1-1-1-1-1-2-2-2-211111111-2110-2-2-21111110000000022-1-1-1-100000000
χ1522222-1-2-22-122-1-122-1-1-12-1-111-211-2-2-2-2-2-12-1-1-1-1-21111111002-2−i3i3−i3i3-1-1110−i3i302-20−i3i3-1-1110000000000−i3i3−i3i300000000
χ1622222-1-2-22-122-1-122-1-1-12-1-111-211-2-2-2-2-2-12-1-1-1-1-21111111002-2i3−i3i3−i3-1-1110i3−i302-20i3−i3-1-1110000000000i3−i3i3−i300000000
χ1722222-1-2-22-122-1-122-1-1-12-1-111-211-2-2-2-2-2-12-1-1-1-1-2111111100-22−i3i3−i3i311-1-10−i3i30-220−i3i311-1-10000000000i3−i3i3−i300000000
χ1822222-1-2-22-122-1-122-1-1-12-1-111-211-2-2-2-2-2-12-1-1-1-1-2111111100-22i3−i3i3−i311-1-10i3−i30-220i3−i311-1-10000000000−i3i3−i3i300000000
χ192222-122222-1-12-12-1222-1-1222-1-1-12-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1220022220000-1-1-1200-1-1-1000022-1-1-1-1-1-100000020-1-10000
χ202222-122222-1-12-12-1222-1-1222-1-1-12-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1220022220000-1-1-1-200-1-1-10000-2-2111111000000-20110000
χ212222-122222-1-12-12-1222-1-1222-1-1-12-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2-2-2-20000111200111000022-1-1-1-1-1-1000000-20110000
χ222222-122222-1-12-12-1222-1-1222-1-1-12-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2-2-2-20000111-2001110000-2-211111100000020-1-10000
χ23222-12222-122-1-12-122-1-1-12-122222-12-1-1-1-1-12-1-1-1-12-1-1-1-1-1-10022000022220002-1-1000-1-1-1-1-1-122-1-1-1-10000000200-1-100
χ24222-12222-122-1-12-122-1-1-12-122222-12-1-1-1-1-12-1-1-1-12-1-1-1-1-1-1002200002222000-2-1-1000-1-1-1-111-2-211110000000-2001100
χ25222-12222-122-1-12-122-1-1-12-122222-12-1-1-1-1-12-1-1-1-12-1-1-1-1-1-100-2-20000-2-2-2-20002110001111-1-122-1-1-1-10000000-2001100
χ26222-12222-122-1-12-122-1-1-12-122222-12-1-1-1-1-12-1-1-1-12-1-1-1-1-1-100-2-20000-2-2-2-2000-211000111111-2-211110000000200-1-100
χ27222-122-2-2-122-1-12-122-1-1-12-1-2-2-2-2-21-2111-1-12-1-1-11-2111111002-2000022-2-20000-11000-1-1113−30033−3−300000000003−300
χ28222-122-2-2-122-1-12-122-1-1-12-1-2-2-2-2-21-2111-1-12-1-1-11-2111111002-2000022-2-20000-11000-1-111−3300−3−3330000000000−3300
χ29222-122-2-2-122-1-12-122-1-1-12-1-2-2-2-2-21-2111-1-12-1-1-11-211111100-220000-2-22200001-100011-1-13−30033−3−30000000000−3300
χ30222-122-2-2-122-1-12-122-1-1-12-1-2-2-2-2-21-2111-1-12-1-1-11-211111100-220000-2-22200001-100011-1-1−3300−3−33300000000003−300
χ3122-22222-2222222-2-2-2-2-22222-2-2-2-22222-22-2-2-2-22-222-222-2-22-20022-2-20000222000-2-2-200000000000000000000000000
χ3222-22222-2222222-2-2-2-2-22222-2-2-2-22222-22-2-2-2-22-222-222-2-2-2200-2-2220000-2-2-200022200000000000000000000000000
χ3322-2222-22222222-2-2-2-2-2222-22222-2-2-2-222-2-2-2-222-2-22-2-2220000000000000000000000000000000002-222-2-200000000
χ3422-2222-22222222-2-2-2-2-2222-22222-2-2-2-222-2-2-2-222-2-22-2-222000000000000000000000000000000000-22-2-22200000000
χ3522-222-12-22-122-1-1-2-21112-1-1-11-2112222-2-1-2111-1-2-1-11-1-1112-200-1-111−i3i3−i3i32-1-1000-211−i3i3−i3i30000000000−i3i3i3−i300000000
χ3622-222-12-22-122-1-1-2-21112-1-1-11-2112222-2-1-2111-1-2-1-11-1-1112-200-1-111i3−i3i3−i32-1-1000-211i3−i3i3−i30000000000i3−i3−i3i300000000
χ3722-222-12-22-122-1-1-2-21112-1-1-11-2112222-2-1-2111-1-2-1-11-1-111-220011-1-1−i3i3−i3i3-2110002-1-1−i3i3−i3i30000000000i3−i3−i3i300000000
χ3822-222-12-22-122-1-1-2-21112-1-1-11-2112222-2-1-2111-1-2-1-11-1-111-220011-1-1i3−i3i3−i3-2110002-1-1i3−i3i3−i30000000000−i3i3i3−i300000000
χ3922-222-1-222-122-1-1-2-21112-1-11-12-1-1-2-2-2-22-1-2111-1211-111-1-10000−i3i3i3−i3−i3i3i3−i30−i3i30000i3−i3−i3i3i3−i3000000002-2-1-11100000000
χ4022-222-1-222-122-1-1-2-21112-1-11-12-1-1-2-2-2-22-1-2111-1211-111-1-10000−i3i3i3−i3i3−i3−i3i30−i3i30000i3−i3i3−i3−i3i300000000-2211-1-100000000
χ4122-222-1-222-122-1-1-2-21112-1-11-12-1-1-2-2-2-22-1-2111-1211-111-1-10000i3−i3−i3i3−i3i3i3−i30i3−i30000−i3i3−i3i3i3−i300000000-2211-1-100000000
χ4222-222-1-222-122-1-1-2-21112-1-11-12-1-1-2-2-2-22-1-2111-1211-111-1-10000i3−i3−i3i3i3−i3−i3i30i3−i30000−i3i3i3−i3−i3i3000000002-2-1-11100000000
χ4322-22-122-222-1-12-1-21-2-2-2-1-122-21112-1-1-1-2-11111-11-12-2-1-1112-20022-2-20000-1-1-1000111000000−i3i3−i3i3−i3i300000000−i3i30000
χ4422-22-122-222-1-12-1-21-2-2-2-1-122-21112-1-1-1-2-11111-11-12-2-1-1112-20022-2-20000-1-1-1000111000000i3−i3i3−i3i3−i300000000i3−i30000
χ4522-22-122-222-1-12-1-21-2-2-2-1-122-21112-1-1-1-2-11111-11-12-2-1-111-2200-2-2220000111000-1-1-1000000−i3i3−i3i3−i3i300000000i3−i30000
χ4622-22-122-222-1-12-1-21-2-2-2-1-122-21112-1-1-1-2-11111-11-12-2-1-111-2200-2-2220000111000-1-1-1000000i3−i3i3−i3i3−i300000000−i3i30000
χ474444-24-4-444-2-24-24-2444-2-24-4-4222-4222-4-2-2-2-2-2-222-4-4222200000000000000000000000000000000000000000000000
χ484444-2-2444-2-2-2-214-2-2-2-2-21-2-2-2-2114-2-2-241-21111-21-2-211114400-2-2-2-20000-211000-21100000000000000000000000000
χ494444-2-2444-2-2-2-214-2-2-2-2-21-2-2-2-2114-2-2-241-21111-21-2-21111-4-400222200002-1-10002-1-100000000000000000000000000
χ504444-2-2-4-44-2-2-2-214-2-2-2-2-21-2222-1-1-4222-41-211112-122-1-1-1-10000−2i32i3−2i32i300000i3−i30000i3−i300000000000000000000000000
χ514444-2-2-4-44-2-2-2-214-2-2-2-2-21-2222-1-1-4222-41-211112-122-1-1-1-100002i3−2i32i3−2i300000−i3i30000−i3i300000000000000000000000000
χ52444-24-244-2-24-21-2-24-211-2-21-2-24-2-2-24-2-2-21-2-2111-2-211111100440000-2-2-2-20000-2-200011110000000000000000000000
χ53444-24-244-2-24-21-2-24-211-2-21-2-24-2-2-24-2-2-21-2-2111-2-211111100-4-400002222000022000-1-1-1-10000000000000000000000
χ54444-24-2-4-4-2-24-21-2-24-211-2-2122-4222-42221-2-211122-1-1-1-1-1-1004-40000-2-2220000-2200011-1-10000000000000000000000
χ55444-24-2-4-4-2-24-21-2-24-211-2-2122-4222-42221-2-211122-1-1-1-1-1-100-44000022-2-200002-2000-1-1110000000000000000000000
χ56444-2-2444-24-21-2-2-2-24-2-21-2-244-2-2-2-2-211-211-21111-2-2-211110000000000000004000000000-2-2-2-2111100000000000000
χ57444-2-2444-24-21-2-2-2-24-2-21-2-244-2-2-2-2-211-211-21111-2-2-21111000000000000000-40000000002222-1-1-1-100000000000000
χ58444-2-24-4-4-24-21-2-2-2-24-2-21-2-2-4-422222-1-1211-2111-1222-1-1-1-1000000000000000000000000023−2300−3−33300000000000000
χ59444-2-24-4-4-24-21-2-2-2-24-2-21-2-2-4-422222-1-1211-2111-1222-1-1-1-10000000000000000000000000−23230033−3−300000000000000
χ6044-44-24-4444-2-24-2-42-4-4-4-2-24-44-2-2-2-42224-22222-2-22-4422-2-200000000000000000000000000000000000000000000000
χ6144-44-2-24-44-2-2-2-21-42222-21-2-222-1-14-2-2-2-412-1-1-1121-2211-1-14-400-2-2220000-2110002-1-100000000000000000000000000
χ6244-44-2-24-44-2-2-2-21-42222-21-2-222-1-14-2-2-2-412-1-1-1121-2211-1-1-440022-2-200002-1-1000-21100000000000000000000000000
χ6344-44-2-2-444-2-2-2-21-42222-21-22-2-211-4222412-1-1-11-2-12-2-1-1110000−2i32i32i3−2i300000i3−i30000−i3i300000000000000000000000000
χ6444-44-2-2-444-2-2-2-21-42222-21-22-2-211-4222412-1-1-11-2-12-2-1-11100002i3−2i3−2i32i300000−i3i30000i3−i300000000000000000000000000
χ6544-4-2444-4-244-2-242-4-422-24-24-4-4-4-4-24-2-22-22-422-224-22-2-22200000000000000000000000000000000000000000000000
χ6644-4-244-44-244-2-242-4-422-24-2-444442-422-2-22-422-2-2-42-222-2-200000000000000000000000000000000000000000000000
χ6744-4-24-24-4-2-24-21-22-42-1-1-2-21-22-422-24-2-22122-1-112-21-111-1-100000000−2i32i3−2i32i3000000000i3−i3i3−i30000000000000000000000
χ6844-4-24-24-4-2-24-21-22-42-1-1-2-21-22-422-24-2-22122-1-112-21-111-1-1000000002i3−2i32i3−2i3000000000−i3i3−i3i30000000000000000000000
χ6944-4-24-2-44-2-24-21-22-42-1-1-2-212-24-2-22-422-2122-1-11-22-11-1-11100000000−2i32i32i3−2i3000000000i3−i3−i3i30000000000000000000000
χ7044-4-24-2-44-2-24-21-22-42-1-1-2-212-24-2-22-422-2122-1-11-22-11-1-111000000002i3−2i3−2i32i3000000000−i3i3i3−i30000000000000000000000
χ7144-4-2-244-4-24-21-2-222-4221-2-24-4222-2-21121-12-1-11-1-2-2211-1-1000000000000000000000000000−2i32i3i3−i3i3−i300000000000000
χ7244-4-2-244-4-24-21-2-222-4221-2-24-4222-2-21121-12-1-11-1-2-2211-1-10000000000000000000000000002i3−2i3−i3i3−i3i300000000000000
χ7344-4-2-24-44-24-21-2-222-4221-2-2-44-2-2-222-1-1-21-12-1-11122-2-1-111000000000000000000000000000003i−3i−3i3i00000000000000
χ7444-4-2-24-44-24-21-2-222-4221-2-2-44-2-2-222-1-1-21-12-1-11122-2-1-11100000000000000000000000000000−3i3i3i−3i00000000000000
χ754-4044400-4-4-444400000-4-4-4000000000040000-4000000000000000000000000000000000000000000000000000002-2
χ764-4044400-4-4-444400000-4-4-4000000000040000-400000000000000000000000000000000000000000000000000000-22
χ77888-4-4-488-4-4-4222-4-4-422222-4-4-422-4-422-4-122-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000
χ78888-4-4-4-8-8-4-4-4222-4-4-422222444-2-244-2-24-122-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000
χ7988-8-4-4-48-8-4-4-4222444-2-2222-444-2-2-4-4224-1-2-211-1-222-2-1-11100000000000000000000000000000000000000000000000
χ8088-8-4-4-4-88-4-4-4222444-2-22224-4-42244-2-2-4-1-2-211-12-2-2211-1-100000000000000000000000000000000000000000000000
χ818-8088-400-84-88-4-400000-8440000000000-4000040000000000000000000000000000000000000000000000000000000
χ828-808-4800-8-84-48-40000044-80000000000-4000040000000000000000000000000000000000000000000000000000000
χ838-808-4-400-844-4-42000004-240006i−6i0000020000-20000006i−6i00000000000000000000000000000000000000000000000
χ848-808-4-400-844-4-42000004-24000−6i6i0000020000-2000000−6i6i00000000000000000000000000000000000000000000000
χ858-80-488004-8-8-4-48000004-840000000000-4000040000000000000000000000000000000000000000000000000000000
χ868-80-48-40044-8-42-40006-644-200000000002006-6-20000000000000000000000000000000000000000000000000000000
χ878-80-48-40044-8-42-4000-6644-20000000000200-66-20000000000000000000000000000000000000000000000000000000
χ888-80-4-48004-842-4-400000-24400000006i−6i020000-200006i−6i0000000000000000000000000000000000000000000000000
χ898-80-4-48004-842-4-400000-2440000000−6i6i020000-20000−6i6i0000000000000000000000000000000000000000000000000
χ908-80-4-4-4004442220006-6-2-2-20006i−6i006i−6i0-100-3310000−3i3i−3i3i00000000000000000000000000000000000000000000000
χ918-80-4-4-4004442220006-6-2-2-2000−6i6i00−6i6i0-100-33100003i−3i3i−3i00000000000000000000000000000000000000000000000
χ928-80-4-4-400444222000-66-2-2-20006i−6i00−6i6i0-1003-3100003i−3i−3i3i00000000000000000000000000000000000000000000000
χ938-80-4-4-400444222000-66-2-2-2000−6i6i006i−6i0-1003-310000−3i3i3i−3i00000000000000000000000000000000000000000000000

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