Finite Group Databasebeta

← Group #13155937

Character table — Group #13155937

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222244444444444444444444488888888888888121212121212121212121212242424242424242424242424242424242424242424363636363636727272727272108108
order1223334466633366666666121212121212121212123666661212121212121212222466666612126666666668121212242424242424242424661212481212242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-111-1-111111-1-1-111111111-1-1-1-1-1-1-11-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-111111-1-111-1-1-1-1111111111111-1-1-1-1-1-11-111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-111111-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111111111-1-1-1-1-1-111
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
χ9222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22-20022-2-2000002-20022-2-200000000000000000000000000
χ10222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2200-2-22200000-2200-2-22200000000000000000000000000
χ1122222-1222-122-1-122-1-1-12-1-1-1-12-1-122222-12-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-102-1-10000000022-1-1-1-100000000
χ1222222-1222-122-1-122-1-1-12-1-1-1-12-1-122222-12-1-1-1-12-1-1-1-1-1-1-122-2-2-1-1-1-11111-22211-1-1-1-10-21100000000-2-2111100000000
χ1322222-1222-122-1-122-1-1-12-1-1-1-12-1-122222-12-1-1-1-12-1-1-1-1-1-1-1-2-2221111-1-1-1-12-2-2-1-1111102-1-100000000-2-2111100000000
χ1422222-1222-122-1-122-1-1-12-1-1-1-12-1-122222-12-1-1-1-12-1-1-1-1-1-1-1-2-2-2-211111111-2-2-21111110-2110000000022-1-1-1-100000000
χ1522222-1-2-22-122-1-122-1-1-12-1-111-211-2-2-2-2-2-12-1-1-1-1-211111112-200-1-111−i3i3−i3i302-2−i3i3-1-11100−i3i30000000000−i3i3−i3i300000000
χ1622222-1-2-22-122-1-122-1-1-12-1-111-211-2-2-2-2-2-12-1-1-1-1-211111112-200-1-111i3−i3i3−i302-2i3−i3-1-11100i3−i30000000000i3−i3i3−i300000000
χ1722222-1-2-22-122-1-122-1-1-12-1-111-211-2-2-2-2-2-12-1-1-1-1-21111111-220011-1-1−i3i3−i3i30-22−i3i311-1-100−i3i30000000000i3−i3i3−i300000000
χ1822222-1-2-22-122-1-122-1-1-12-1-111-211-2-2-2-2-2-12-1-1-1-1-21111111-220011-1-1i3−i3i3−i30-22i3−i311-1-100i3−i30000000000−i3i3−i3i300000000
χ192222-1222-122-12-12-12-1-1-1-1222222-12-1-1-1-1-12-1-1-1-1-1-12-1-1-1-12200222200000-1-100-1-1-1-1200022-1-1-1-1-1-10000000200-1-100
χ202222-1222-122-12-12-12-1-1-1-1222222-12-1-1-1-1-12-1-1-1-1-1-12-1-1-1-12200222200000-1-100-1-1-1-1-2000-2-21111110000000-2001100
χ212222-1222-122-12-12-12-1-1-1-1222222-12-1-1-1-1-12-1-1-1-1-1-12-1-1-1-1-2-200-2-2-2-20000011001111200022-1-1-1-1-1-10000000-2001100
χ222222-1222-122-12-12-12-1-1-1-1222222-12-1-1-1-1-12-1-1-1-1-1-12-1-1-1-1-2-200-2-2-2-20000011001111-2000-2-21111110000000200-1-100
χ232222-12-2-2-122-12-12-12-1-1-1-12-2-2-2-2-21-2111-1-12-1-1-1111-211112-20022-2-200000-1100-1-111000000333−3−3−300000000003−300
χ242222-12-2-2-122-12-12-12-1-1-1-12-2-2-2-2-21-2111-1-12-1-1-1111-211112-20022-2-200000-1100-1-111000000−3−3−33330000000000−3300
χ252222-12-2-2-122-12-12-12-1-1-1-12-2-2-2-2-21-2111-1-12-1-1-1111-21111-2200-2-222000001-10011-1-1000000333−3−3−30000000000−3300
χ262222-12-2-2-122-12-12-12-1-1-1-12-2-2-2-2-21-2111-1-12-1-1-1111-21111-2200-2-222000001-10011-1-1000000−3−3−333300000000003−300
χ27222-1222222-1-1-12-12222-12-122-1-1-12-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1002200002222-100-1-100002-1-1-1-1-12-1-12-1-100000020-1-10000
χ28222-1222222-1-1-12-12222-12-122-1-1-12-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1002200002222-100-1-10000-2-1-1-111-211-211000000-20110000
χ29222-1222222-1-1-12-12222-12-122-1-1-12-1-1-12-1-1-1-1-1-1-122-1-1-1-1-100-2-20000-2-2-2-21001100002111-1-12-1-12-1-1000000-20110000
χ30222-1222222-1-1-12-12222-12-122-1-1-12-1-1-12-1-1-1-1-1-1-122-1-1-1-1-100-2-20000-2-2-2-2100110000-211111-211-21100000020-1-10000
χ3122-22222-2222222-2-2-2-2-22222-2-2-2-22222-22-2-2-2-22-22-2222-2-2002-2000022-2-22002200000-2-2-20000000000000000000000
χ3222-22222-2222222-2-2-2-2-22222-2-2-2-22222-22-2-2-2-22-22-2222-2-200-220000-2-222-200-2-2000002220000000000000000000000
χ3322-2222-22222222-2-2-2-2-2222-22222-2-2-2-222-2-2-2-222-22-2-2-2220000000000000000000000000000000002-222-2-200000000
χ3422-2222-22222222-2-2-2-2-2222-22222-2-2-2-222-2-2-2-222-22-2-2-222000000000000000000000000000000000-22-2-22200000000
χ3522-222-12-22-122-1-1-2-21112-1-1-11-2112222-2-1-2111-1-2-11-1-1-111002-2−i3i3−i3i3-1-111200-1-1−i3i3−i3i30-2110000000000−i3i3i3−i300000000
χ3622-222-12-22-122-1-1-2-21112-1-1-11-2112222-2-1-2111-1-2-11-1-1-111002-2i3−i3i3−i3-1-111200-1-1i3−i3i3−i30-2110000000000i3−i3−i3i300000000
χ3722-222-12-22-122-1-1-2-21112-1-1-11-2112222-2-1-2111-1-2-11-1-1-11100-22−i3i3−i3i311-1-1-20011−i3i3−i3i302-1-10000000000i3−i3−i3i300000000
χ3822-222-12-22-122-1-1-2-21112-1-1-11-2112222-2-1-2111-1-2-11-1-1-11100-22i3−i3i3−i311-1-1-20011i3−i3i3−i302-1-10000000000−i3i3i3−i300000000
χ3922-222-1-222-122-1-1-2-21112-1-11-12-1-1-2-2-2-22-1-2111-121-1111-1-10000−i3i3i3−i3−i3i3i3−i3000−i3i3−i3i3i3−i300i3−i3000000002-2-1-11100000000
χ4022-222-1-222-122-1-1-2-21112-1-11-12-1-1-2-2-2-22-1-2111-121-1111-1-10000−i3i3i3−i3i3−i3−i3i3000i3−i3−i3i3i3−i300−i3i300000000-2211-1-100000000
χ4122-222-1-222-122-1-1-2-21112-1-11-12-1-1-2-2-2-22-1-2111-121-1111-1-10000i3−i3−i3i3−i3i3i3−i3000−i3i3i3−i3−i3i300i3−i300000000-2211-1-100000000
χ4222-222-1-222-122-1-1-2-21112-1-11-12-1-1-2-2-2-22-1-2111-121-1111-1-10000i3−i3−i3i3i3−i3−i3i3000i3−i3i3−i3−i3i300−i3i3000000002-2-1-11100000000
χ4322-2-1222-222-1-1-121-2-2-2-2-12-12-21112-1-1-1-2-11111-112-2-1-1-111002-2000022-2-2-100-1-100000111−i3i30−i3i30−i3i300000000−i3i30000
χ4422-2-1222-222-1-1-121-2-2-2-2-12-12-21112-1-1-1-2-11111-112-2-1-1-111002-2000022-2-2-100-1-100000111i3−i30i3−i30i3−i300000000i3−i30000
χ4522-2-1222-222-1-1-121-2-2-2-2-12-12-21112-1-1-1-2-11111-112-2-1-1-11100-220000-2-2221001100000-1-1-1−i3i30−i3i30−i3i300000000i3−i30000
χ4622-2-1222-222-1-1-121-2-2-2-2-12-12-21112-1-1-1-2-11111-112-2-1-1-11100-220000-2-2221001100000-1-1-1i3−i30i3−i30i3−i300000000−i3i30000
χ474444-2-244-2-24-2-214-2-211-21-2-2-24-2-2-24-2-2-21-2-2111-211-211114400-2-2-2-200000-2-200111100000000000000000000000000
χ484444-2-244-2-24-2-214-2-211-21-2-2-24-2-2-24-2-2-21-2-2111-211-21111-4-4002222000002200-1-1-1-100000000000000000000000000
χ494444-2-2-4-4-2-24-2-214-2-211-21-222-4222-42221-2-21112-1-12-1-1-1-14-400-2-22200000-220011-1-100000000000000000000000000
χ504444-2-2-4-4-2-24-2-214-2-211-21-222-4222-42221-2-21112-1-12-1-1-1-1-440022-2-2000002-200-1-11100000000000000000000000000
χ51444-244-4-444-2-2-24-24444-24-2-4-4222-4222-4-2-2-2-2-2-22-4-42222200000000000000000000000000000000000000000000000
χ52444-24-2444-2-2-21-2-24-2-2-2-2-21-2-2-2114-2-2-241-21111-2-2-21111100440000-2-2-2-2-2001100000-2110000000000000000000000
χ53444-24-2444-2-2-21-2-24-2-2-2-2-21-2-2-2114-2-2-241-21111-2-2-21111100-4-400002222200-1-1000002-1-10000000000000000000000
χ54444-24-2-4-44-2-2-21-2-24-2-2-2-2-21222-1-1-4222-41-21111222-1-1-1-1-100000000−2i32i3−2i32i3000i3−i3000000i3−i30000000000000000000000
χ55444-24-2-4-44-2-2-21-2-24-2-2-2-2-21222-1-1-4222-41-21111222-1-1-1-1-1000000002i3−2i32i3−2i3000−i3i3000000−i3i30000000000000000000000
χ56444-2-2444-24-21-2-2-2-24-2-21-2-244-2-2-2-2-211-211-21111-2-2-211110000000000000000000004000-2-2-211-21100000000000000
χ57444-2-2444-24-21-2-2-2-24-2-21-2-244-2-2-2-2-211-211-21111-2-2-21111000000000000000000000-4000222-1-12-1-100000000000000
χ58444-2-24-4-4-24-21-2-2-2-24-2-21-2-2-4-422222-1-1211-2111-1222-1-1-1-100000000000000000000000000023−3−3−233300000000000000
χ59444-2-24-4-4-24-21-2-2-2-24-2-21-2-2-4-422222-1-1211-2111-1222-1-1-1-1000000000000000000000000000−233323−3−300000000000000
χ6044-44-244-4-244-24-2-42-422-2-244-4-4-4-4-24-2-22-22-422-22-224-2-22200000000000000000000000000000000000000000000000
χ6144-44-24-44-244-24-2-42-422-2-24-444442-422-2-22-422-2-22-2-422-2-200000000000000000000000000000000000000000000000
χ6244-44-2-24-4-2-24-2-21-422-1-1-21-2-22-422-24-2-22122-1-1121-1-211-1-10000−2i32i3−2i32i3000000000i3−i3i3−i300000000000000000000000000
χ6344-44-2-24-4-2-24-2-21-422-1-1-21-2-22-422-24-2-22122-1-1121-1-211-1-100002i3−2i32i3−2i3000000000−i3i3−i3i300000000000000000000000000
χ6444-44-2-2-44-2-24-2-21-422-1-1-21-22-24-2-22-422-2122-1-11-2-112-1-1110000−2i32i32i3−2i3000000000i3−i3−i3i300000000000000000000000000
χ6544-44-2-2-44-2-24-2-21-422-1-1-21-22-24-2-22-422-2122-1-11-2-112-1-11100002i3−2i3−2i32i3000000000−i3i3i3−i300000000000000000000000000
χ6644-4-244-4444-2-2-242-4-4-4-4-24-2-44-2-2-2-42224-22222-2-2-44222-2-200000000000000000000000000000000000000000000000
χ6744-4-24-24-44-2-2-21-22-4222-2-21-222-1-14-2-2-2-412-1-1-112-22111-1-1004-40000-2-222-20011000002-1-10000000000000000000000
χ6844-4-24-24-44-2-2-21-22-4222-2-21-222-1-14-2-2-2-412-1-1-112-22111-1-100-44000022-2-2200-1-100000-2110000000000000000000000
χ6944-4-24-2-444-2-2-21-22-4222-2-212-2-211-4222412-1-1-11-22-2-1-1-11100000000−2i32i32i3−2i3000i3−i3000000−i3i30000000000000000000000
χ7044-4-24-2-444-2-2-21-22-4222-2-212-2-211-4222412-1-1-11-22-2-1-1-111000000002i3−2i3−2i32i3000−i3i3000000i3−i30000000000000000000000
χ7144-4-2-244-4-24-21-2-222-4221-2-24-4222-2-21121-12-1-11-1-22-211-1-10000000000000000000000000−2i32i30i3−i30i3−i300000000000000
χ7244-4-2-244-4-24-21-2-222-4221-2-24-4222-2-21121-12-1-11-1-22-211-1-100000000000000000000000002i3−2i30−i3i30−i3i300000000000000
χ7344-4-2-24-44-24-21-2-222-4221-2-2-44-2-2-222-1-1-21-12-1-1112-22-1-11100000000000000000000000000003i−3i0−3i3i00000000000000
χ7444-4-2-24-44-24-21-2-222-4221-2-2-44-2-2-222-1-1-21-12-1-1112-22-1-1110000000000000000000000000000−3i3i03i−3i00000000000000
χ754-4044400-4-4-444400000-4-4-4000000000040000-4000000000000000000000000000000000000000000000000000002i−2i
χ764-4044400-4-4-444400000-4-4-4000000000040000-400000000000000000000000000000000000000000000000000000−2i2i
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
χ7988-8-4-4-48-8-4-4-4222444-2-2222-444-2-2-4-4224-1-2-211-1-22-22-1-11100000000000000000000000000000000000000000000000
χ8088-8-4-4-4-88-4-4-4222444-2-22224-4-42244-2-2-4-1-2-211-12-22-211-1-100000000000000000000000000000000000000000000000
χ818-8088-400-84-88-4-400000-8440000000000-4000040000000000000000000000000000000000000000000000000000000
χ828-808-48004-8-8-48-40000044-80000000000-4000040000000000000000000000000000000000000000000000000000000
χ838-808-4-40044-8-4-420006-64-2400000000002006-6-20000000000000000000000000000000000000000000000000000000
χ848-808-4-40044-8-4-42000-664-240000000000200-66-20000000000000000000000000000000000000000000000000000000
χ858-80-48800-8-84-4-48000004-840000000000-4000040000000000000000000000000000000000000000000000000000000
χ868-80-48-400-844-42-40000044-20006i−6i0000020000-20000006i−6i00000000000000000000000000000000000000000000000
χ878-80-48-400-844-42-40000044-2000−6i6i0000020000-2000000−6i6i00000000000000000000000000000000000000000000000
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).