Finite Group Databasebeta

← Group #13155951

Character table — Group #13155951

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11222222222224444444444444444444488888888888888121212121212121212121212242424242424242424242424242424242424242424363636363636363636363636727272216
order122333446666633366666666612121212121212123666612121212121212121224446612121212121246661212121212121212121212121212121212244466121212121212824248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-11111-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1
χ41111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11
χ511111111111111111111111111111111111111111111111-1-111-1-1-1-111111-1-1-1-1111111-1-111111111-1-111-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-11
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1
χ9222222-2-222222222222222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2002-2000022-2-200000002-2000022-2-200000000000000000000
χ10222222-2-222222222222222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-200-220000-2-2220000000-220000-2-22200000000000000000000
χ1122222-1222222-12-1-12-122-1-1-12-1222-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-102-1-12002200-1-1-1-1-1-100002200-1-10000-1-10000
χ1222222-1222222-12-1-12-122-1-1-12-1222-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1-1-1-1111102-1-1200-2-200-1-111110000-2-200110000110000
χ1322222-1222222-12-1-12-122-1-1-12-1222-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-2-2221111-1-1-1-10-211-200220011-1-1-1-10000-2-200110000110000
χ1422222-1222222-12-1-12-122-1-1-12-1222-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111110-211-200-2-20011111100002200-1-10000-1-10000
χ1522222-1-2-22222-12-1-12-122-1-1-12-1-2-2-21111-2-1-1-1-1-11-2-2111111002-2−i3i3−i3i3-1-11100−i3i30002-200−i3i3-1-11100000000−i3i30000−i3i30000
χ1622222-1-2-22222-12-1-12-122-1-1-12-1-2-2-21111-2-1-1-1-1-11-2-2111111002-2i3−i3i3−i3-1-11100i3−i30002-200i3−i3-1-11100000000i3−i30000i3−i30000
χ1722222-1-2-22222-12-1-12-122-1-1-12-1-2-2-21111-2-1-1-1-1-11-2-211111100-22−i3i3−i3i311-1-100−i3i3000-2200−i3i311-1-100000000i3−i30000i3−i30000
χ1822222-1-2-22222-12-1-12-122-1-1-12-1-2-2-21111-2-1-1-1-1-11-2-211111100-22i3−i3i3−i311-1-100i3−i3000-2200i3−i311-1-100000000−i3i30000−i3i30000
χ192222-122222-122-12-1-12-1-122-1-12-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12200222200002-1-1-1-1-1-10022-1-10000-1-1-1-10000000000002-1-10
χ202222-122222-122-12-1-12-1-122-1-12-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1220022220000-2-1-1-1-11100-2-2-1-100001111000000000000-2110
χ212222-122222-122-12-1-12-1-122-1-12-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2-2-2-2000021111-1-10022110000-1-1-1-1000000000000-2110
χ222222-122222-122-12-1-12-1-122-1-12-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2-2-2-20000-211111100-2-211000011110000000000002-1-10
χ23222-12222-1-12-12-1-1222-1-1-1-12-1-12-1-122222-12-1-1-12-1-1-1-1-1-1-1-10022000022222000022-1-1-1-100-1-1-1-1-1-1-1-1002200-1-1-1-1000000
χ24222-12222-1-12-12-1-1222-1-1-1-12-1-12-1-122222-12-1-1-12-1-1-1-1-1-1-1-1002200002222-20000-2-2-1-11100-1-1-1-1111100-2-2001111000000
χ25222-12222-1-12-12-1-1222-1-1-1-12-1-12-1-122222-12-1-1-12-1-1-1-1-1-1-1-100-2-20000-2-2-2-2200002211-1-1001111-1-1-1-100-2-2001111000000
χ26222-12222-1-12-12-1-1222-1-1-1-12-1-12-1-122222-12-1-1-12-1-1-1-1-1-1-1-100-2-20000-2-2-2-2-20000-2-211110011111111002200-1-1-1-1000000
χ27222-122-2-2-1-12-12-1-1222-1-1-1-12-1-1-211-2-2-2-2-2-12-1-1-1-211111111002-2000022-2-20000000-11−i3i300-1-111−i3−i3i3i3000000−i3−i3i3i3000000
χ28222-122-2-2-1-12-12-1-1222-1-1-1-12-1-1-211-2-2-2-2-2-12-1-1-1-211111111002-2000022-2-20000000-11i3−i300-1-111i3i3−i3−i3000000i3i3−i3−i3000000
χ29222-122-2-2-1-12-12-1-1222-1-1-1-12-1-1-211-2-2-2-2-2-12-1-1-1-21111111100-220000-2-22200000001-1−i3i30011-1-1−i3−i3i3i3000000i3i3−i3−i3000000
χ30222-122-2-2-1-12-12-1-1222-1-1-1-12-1-1-211-2-2-2-2-2-12-1-1-1-21111111100-220000-2-22200000001-1i3−i30011-1-1i3i3−i3−i3000000−i3−i3i3i3000000
χ3122-22222-2-2-2222222-2-2-2-2-2-2222-22-22-2-2-222-2-2-2222-22-222-2-22-20022-2-200000222-2000000-2-2000000000000000000000000
χ3222-22222-2-2-2222222-2-2-2-2-2-2222-22-22-2-2-222-2-2-2222-22-222-2-2-2200-2-22200000-2-2-2200000022000000000000000000000000
χ3322-2222-22-2-2222222-2-2-2-2-2-22222-22-2222-22-2-2-22-2-22-22-2-2220000000000000000000000000000000002-200220000-2-20000
χ3422-2222-22-2-2222222-2-2-2-2-2-22222-22-2222-22-2-2-22-2-22-22-2-222000000000000000000000000000000000-2200-2-20000220000
χ3522-222-12-2-2-222-12-1-1-21-2-211-12-1-22-2-11112-1111-1-12-2-11-1-1112-200-1-111−i3i3−i3i302-1-1-200000011−i3i3−i3i300000000−i3i30000i3−i30000
χ3622-222-12-2-2-222-12-1-1-21-2-211-12-1-22-2-11112-1111-1-12-2-11-1-1112-200-1-111i3−i3i3−i302-1-1-200000011i3−i3i3−i300000000i3−i30000−i3i30000
χ3722-222-12-2-2-222-12-1-1-21-2-211-12-1-22-2-11112-1111-1-12-2-11-1-111-220011-1-1−i3i3−i3i30-2112000000-1-1−i3i3−i3i300000000i3−i30000−i3i30000
χ3822-222-12-2-2-222-12-1-1-21-2-211-12-1-22-2-11112-1111-1-12-2-11-1-111-220011-1-1i3−i3i3−i30-2112000000-1-1i3−i3i3−i300000000−i3i30000i3−i30000
χ3922-222-1-22-2-222-12-1-1-21-2-211-12-12-221-1-1-1-2-1111-11-221-111-1-10000−i3i3i3−i3−i3i3i3−i300−i3i30000000i3−i3−i3i3i3−i300002-200-1-10000110000
χ4022-222-1-22-2-222-12-1-1-21-2-211-12-12-221-1-1-1-2-1111-11-221-111-1-10000−i3i3i3−i3i3−i3−i3i300−i3i30000000i3−i3i3−i3−i3i30000-2200110000-1-10000
χ4122-222-1-22-2-222-12-1-1-21-2-211-12-12-221-1-1-1-2-1111-11-221-111-1-10000i3−i3−i3i3−i3i3i3−i300i3−i30000000−i3i3−i3i3i3−i30000-2200110000-1-10000
χ4222-222-1-22-2-222-12-1-1-21-2-211-12-12-221-1-1-1-2-1111-11-221-111-1-10000i3−i3−i3i3i3−i3−i3i300i3−i30000000−i3i3i3−i3−i3i300002-200-1-10000110000
χ4322-22-122-2-2-2-122-12-11-211-2-2-1-1212-22-211-1-1111-1-1-112-2-1-1112-20022-2-200000-1-1-11−i3i30000110000−i3i3−i3i30000000000000−i3i30
χ4422-22-122-2-2-2-122-12-11-211-2-2-1-1212-22-211-1-1111-1-1-112-2-1-1112-20022-2-200000-1-1-11i3−i30000110000i3−i3i3−i30000000000000i3−i30
χ4522-22-122-2-2-2-122-12-11-211-2-2-1-1212-22-211-1-1111-1-1-112-2-1-111-2200-2-22200000111-1−i3i30000-1-10000−i3i3−i3i30000000000000i3−i30
χ4622-22-122-2-2-2-122-12-11-211-2-2-1-1212-22-211-1-1111-1-1-112-2-1-111-2200-2-22200000111-1i3−i30000-1-10000i3−i3i3−i30000000000000−i3i30
χ474444-24-4-444-244-24-2-24-2-244-2-242-4-4-4-4222-2-2-2-2-2222-4-422220000000000000000000000000000000000000000000000000
χ484444-2-24444-24-2-2-21-2-2-2-2-2-21-2-2-244-2-211-2111111-2-2-2-211114400-2-2-2-200000-211-200000011000000000000000000000000
χ494444-2-24444-24-2-2-21-2-2-2-2-2-21-2-2-244-2-211-2111111-2-2-2-21111-4-4002222000002-1-12000000-1-1000000000000000000000000
χ504444-2-2-4-444-24-2-2-21-2-2-2-2-2-21-2-22-4-422-1-1211111-12222-1-1-1-10000−2i32i3−2i32i3000000i3−i30000000i3−i3000000000000000000000000
χ514444-2-2-4-444-24-2-2-21-2-2-2-2-2-21-2-22-4-422-1-1211111-12222-1-1-1-100002i3−2i32i3−2i3000000−i3i30000000−i3i3000000000000000000000000
χ52444-24-244-2-24-2-2-21-24-2-2-211-2-214-2-2-2-2-2-241-2111-2-2-211111100440000-2-2-2-20000000-2-20000111100000000000000000000
χ53444-24-244-2-24-2-2-21-24-2-2-211-2-214-2-2-2-2-2-241-2111-2-2-211111100-4-4000022220000000220000-1-1-1-100000000000000000000
χ54444-24-2-4-4-2-24-2-2-21-24-2-2-211-2-21-4222222-41-2111222-1-1-1-1-1-1004-40000-2-2220000000-22000011-1-100000000000000000000
χ55444-24-2-4-4-2-24-2-2-21-24-2-2-211-2-21-4222222-41-2111222-1-1-1-1-1-100-44000022-2-200000002-20000-1-11100000000000000000000
χ56444-2-2444-2-2-2-241-2-2-2411-2-2-21-2-2-2-244-2-2-21-2111-211-2-2111100000000000040000-2-200-2-200000011110000000000000000
χ57444-2-2444-2-2-2-241-2-2-2411-2-2-21-2-2-2-244-2-2-21-2111-211-2-21111000000000000-40000220022000000-1-1-1-10000000000000000
χ58444-2-24-4-4-2-2-2-241-2-2-2411-2-2-21-2222-4-42221-21112-1-122-1-1-1-1000000000000000000000−2i32i3000000i3i3−i3−i30000000000000000
χ59444-2-24-4-4-2-2-2-241-2-2-2411-2-2-21-2222-4-42221-21112-1-122-1-1-1-10000000000000000000002i3−2i3000000−i3−i3i3i30000000000000000
χ6044-44-24-44-4-4-244-24-22-422-4-4-2-24-2-44-44-2-22-2222-222-2-4422-2-20000000000000000000000000000000000000000000000000
χ6144-44-2-24-4-4-4-24-2-2-212222221-2-224-4-22-1-1-21-1-1-111-22-2211-1-14-400-2-22200000-2112000000-1-1000000000000000000000000
χ6244-44-2-24-4-4-4-24-2-2-212222221-2-224-4-22-1-1-21-1-1-111-22-2211-1-1-440022-2-2000002-1-1-200000011000000000000000000000000
χ6344-44-2-2-44-4-4-24-2-2-212222221-2-2-2-442-21121-1-1-11-12-22-2-1-1110000−2i32i32i3−2i3000000i3−i30000000−i3i3000000000000000000000000
χ6444-44-2-2-44-4-4-24-2-2-212222221-2-2-2-442-21121-1-1-11-12-22-2-1-11100002i3−2i3−2i32i3000000−i3i30000000i3−i3000000000000000000000000
χ6544-4-2444-4224-24-2-24-4-422224-2-2-4-224-4-4-44-2-422-24-22-22-2-2220000000000000000000000000000000000000000000000000
χ6644-4-244-44224-24-2-24-4-422224-2-242-2-4444-4-2-422-2-42-22-222-2-20000000000000000000000000000000000000000000000000
χ6744-4-24-24-4224-2-2-21-2-4222-1-1-2-21-4-22-2222412-1-11-2-221-111-1-100000000−2i32i3−2i32i30000000000000i3−i3i3−i300000000000000000000
χ6844-4-24-24-4224-2-2-21-2-4222-1-1-2-21-4-22-2222412-1-11-2-221-111-1-1000000002i3−2i32i3−2i30000000000000−i3i3−i3i300000000000000000000
χ6944-4-24-2-44224-2-2-21-2-4222-1-1-2-2142-22-2-2-2-412-1-1122-2-11-1-11100000000−2i32i32i3−2i30000000000000i3−i3−i3i300000000000000000000
χ7044-4-24-2-44224-2-2-21-2-4222-1-1-2-2142-22-2-2-2-412-1-1122-2-11-1-111000000002i3−2i3−2i32i30000000000000−i3i3i3−i300000000000000000000
χ7144-4-2-244-422-2-241-2-22-4-1-122-21-22-224-422-212-1-11-21-1-2211-1-100000000000000000−2i32i30000000000i3−i3i3−i30000000000000000
χ7244-4-2-244-422-2-241-2-22-4-1-122-21-22-224-422-212-1-11-21-1-2211-1-1000000000000000002i3−2i30000000000−i3i3−i3i30000000000000000
χ7344-4-2-24-4422-2-241-2-22-4-1-122-21-2-22-2-44-2-2212-1-112-112-2-1-111000000000000000000000000000003-3-330000000000000000
χ7444-4-2-24-4422-2-241-2-22-4-1-122-21-2-22-2-44-2-2212-1-112-112-2-1-11100000000000000000000000000000-333-30000000000000000
χ754-404440000-4-4-4444000000-4-4-4000000004000-4000000000000000000000000000000000000000000002-2002-22-2000000
χ764-404440000-4-4-4444000000-4-4-4000000004000-400000000000000000000000000000000000000000000-2200-22-22000000
χ774-40-24400−2i32i3-42-4-2-2400−2i32i3−2i32i3-42200000000-20−2i32i32000000000000000000000000000000000000000000002-200−1−i31+i3−1+i31−i3000000
χ784-40-24400−2i32i3-42-4-2-2400−2i32i3−2i32i3-42200000000-20−2i32i3200000000000000000000000000000000000000000000-22001+i3−1−i31−i3−1+i3000000
χ794-40-244002i3−2i3-42-4-2-24002i3−2i32i3−2i3-42200000000-202i3−2i32000000000000000000000000000000000000000000002-200−1+i31−i3−1−i31+i3000000
χ804-40-244002i3−2i3-42-4-2-24002i3−2i32i3−2i3-42200000000-202i3−2i3200000000000000000000000000000000000000000000-22001−i3−1+i31+i3−1−i3000000
χ81888-4-4-488-4-4-4-4-4222-4-42222222-4-4-4-4-422-4-12-1-1-122222-1-1-1-10000000000000000000000000000000000000000000000000
χ82888-4-4-4-8-8-4-4-4-4-4222-4-4222222244444-2-24-12-1-1-1-2-2-2-2-211110000000000000000000000000000000000000000000000000
χ8388-8-4-4-48-844-4-4-422244-2-2-2-22224-44-44-2-2-4-1-211-122-22-2-1-1110000000000000000000000000000000000000000000000000
χ8488-8-4-4-4-8844-4-4-422244-2-2-2-2222-44-44-4224-1-211-1-2-22-2211-1-10000000000000000000000000000000000000000000000000
χ858-8088-40000-8-848-4-40000004-8400000000-400040000000000000000000000000000000000000000000000000000000000
χ868-808-4800004-8-8-48-400000044-800000000-400040000000000000000000000000000000000000000000000000000000000
χ878-808-4-400004-84-4-42000000-244000006i−6i02000-200000006i−6i0000000000000000000000000000000000000000000000000
χ888-808-4-400004-84-4-42000000-24400000−6i6i02000-20000000−6i6i0000000000000000000000000000000000000000000000000
χ898-80-48-400−4i34i3-844-42-400−4i34i32i3−2i344-200000000202i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ908-80-48-4004i3−4i3-844-42-4004i3−4i3−2i32i344-20000000020−2i32i3-20000000000000000000000000000000000000000000000000000000000
χ918-80-4-4800−4i34i344-82-4-4002i3−2i3−4i34i34-2400000000202i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ928-80-4-48004i3−4i344-82-4-400−2i32i34i3−4i34-240000000020−2i32i3-20000000000000000000000000000000000000000000000000000000000
χ938-80-4-4-400−4i34i3444222002i3−2i32i3−2i3-2-2-2000006i−6i0-10−i3i310000033−33−3i3i0000000000000000000000000000000000000000000000000
χ948-80-4-4-400−4i34i3444222002i3−2i32i3−2i3-2-2-200000−6i6i0-10−i3i3100000−33333i−3i0000000000000000000000000000000000000000000000000
χ958-80-4-4-4004i3−4i344422200−2i32i3−2i32i3-2-2-2000006i−6i0-10i3−i3100000−3333−3i3i0000000000000000000000000000000000000000000000000
χ968-80-4-4-4004i3−4i344422200−2i32i3−2i32i3-2-2-200000−6i6i0-10i3−i310000033−333i−3i0000000000000000000000000000000000000000000000000

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