Finite Group Databasebeta

← Group #13170635

Character table — Group #13170635

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222222222444444444444444444448888888888888812121212121218182424242424242424242424242424242424242424242424243636363636363636365454545472727272
order12233344666663336666666661212121212121212366661212121212121212124444888812121212121212121212121212121212242424242424242422448242424242244661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-11111-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-1-11-11-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-11-11
χ511111111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-111-1-1-1-1111111111111-11-11-1-1-1-1-1-1-1-1-1-11-11
χ611111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111111-11-1
χ711111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-1
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111
χ911-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-11-111-1-111-1-11-11-11-1111-11-11-11-111-1-111-1-11111-1-1-1-111-1-1-111-1-11-11-111-1-1
χ1011-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-11-111-1-111-1-11-11-1-11111-11-11-11-111-1-111-1-1-1-1-1-11111-1-111-111-1-1-11-11-1-111
χ1111-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-11-111-1-111-1-11-1-111-1-1-11-1-111-1-1111-1-1-1-1111111-1-1-1-11-1-111-1-111-11-111-1-11
χ1211-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-11-111-1-111-1-11-1-11-11-1-11-1-111-1-1111-1-1-1-111-1-1-1-11111-111-11-1-1111-11-1-111-1
χ1311-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-11-111-1-111-1-1-111-11-1-1-1-111-1-111-1-1-11111-1-11111-1-1-1-1-111-11-1-111-11-11-111-1
χ1411-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-11-111-1-111-1-1-111-1-11-1-1-111-1-111-1-1-11111-1-1-1-1-1-111111-1-111-1-1111-11-11-1-11
χ1511-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-11-111-1-111-1-1-11-111-111-11-11-11-11-1-111-1-1111111-1-1-1-1-1-111-111-1-11-11-1-1-111
χ1611-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-11-111-1-111-1-1-11-11-1111-11-11-11-11-1-111-1-111-1-1-1-1111111-1-1-111-1-1-11-1111-1-1
χ17222222-2-222222222222222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000002-2-220000
χ18222222-2-222222222222222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000-222-20000
χ1922222-1222222-12-1-12-122-1-1-12-122-12-1-1-12-1-1-1-1-1-12-12-1-1-1-1-100222200002200-1-10000-1-1-1-12-1-1-12-1-1-102020000000000-10-1
χ2022222-1222222-12-1-12-122-1-1-12-122-12-1-1-12-1-1-1-1-1-12-12-1-1-1-1-10022-2-200002200-1-10000-1-1-1-1-2111-21110-20-20000000000101
χ2122222-1222222-12-1-12-122-1-1-12-122-12-1-1-12-1-1-1-1-1-12-12-1-1-1-1-100-2-2220000-2-20011000011112-1-1-12-1-1-10-20-20000000000101
χ2222222-1222222-12-1-12-122-1-1-12-122-12-1-1-12-1-1-1-1-1-12-12-1-1-1-1-100-2-2-2-20000-2-2001100001111-2111-211102020000000000-10-1
χ232222-1222222-12-12-1-12-1-122-1-122-12-12-1-12-1-1-1-1-1-1-12-12-1-1-1-1220022002200-1-100-1-1-1-10000-12-1-1-12-1-12020000000000-10-10
χ242222-1222222-12-12-1-12-1-122-1-122-12-12-1-12-1-1-1-1-1-1-12-12-1-1-1-12200-2-2002200-1-100-1-1-1-100001-2111-211-20-200000000001010
χ252222-1222222-12-12-1-12-1-122-1-122-12-12-1-12-1-1-1-1-1-1-12-12-1-1-1-1-2-2002200-2-200110011110000-12-1-1-12-1-1-20-200000000001010
χ262222-1222222-12-12-1-12-1-122-1-122-12-12-1-12-1-1-1-1-1-1-12-12-1-1-1-1-2-200-2-200-2-2001100111100001-2111-2112020000000000-10-10
χ27222-12222-1-1-122-1-1222-1-1-1-12-1-1-1222222-1-12-1-1-12-1-1-1-1-1-1-1-122220022-1-1-1-12222-1-1-1-1-1-1-1-10000000000002-1-1-1-100000000
χ28222-12222-1-1-122-1-1222-1-1-1-12-1-1-1222222-1-12-1-1-12-1-1-1-1-1-1-1-122-2-200-2-2-1-11122-2-2-1-1-1-11111000000000000-2111100000000
χ29222-12222-1-1-122-1-1222-1-1-1-12-1-1-1222222-1-12-1-1-12-1-1-1-1-1-1-1-1-2-22200-2-211-1-1-2-2221111-1-1-1-1000000000000-2111100000000
χ30222-12222-1-1-122-1-1222-1-1-1-12-1-1-1222222-1-12-1-1-12-1-1-1-1-1-1-1-1-2-2-2-200221111-2-2-2-2111111110000000000002-1-1-1-100000000
χ3122-22222-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-22-2-2-222-2-222-2-2220000000000000000000000000000000000000000022-2-20000
χ3222-22222-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-22-2-2-222-2-222-2-22200000000000000000000000000000000000000000-2-2220000
χ3322-222-1-22-2-222-12-1-1-21-2-211-12-1-2-212-1-1-12-1111-112-1-21-1-111002-22-200002-200-110000-1-1112-1-1-1-2111020-20000000000-101
χ3422-222-1-22-2-222-12-1-1-21-2-211-12-1-2-212-1-1-12-1111-112-1-21-1-111002-2-2200002-200-110000-1-111-21112-1-1-10-202000000000010-1
χ3522-222-1-22-2-222-12-1-1-21-2-211-12-1-2-212-1-1-12-1111-112-1-21-1-11100-222-20000-22001-1000011-1-12-1-1-1-21110-202000000000010-1
χ3622-222-1-22-2-222-12-1-1-21-2-211-12-1-2-212-1-1-12-1111-112-1-21-1-11100-22-220000-22001-1000011-1-1-21112-1-1-1020-20000000000-101
χ3722-22-12-22-2-22-12-12-11-211-2-2-1-12-21-2-12-1-12-1111-11-121-2-1-1112-2002-2002-200-1100-1-1110000-12-1-11-21120-20000000000-1010
χ3822-22-12-22-2-22-12-12-11-211-2-2-1-12-21-2-12-1-12-1111-11-121-2-1-1112-200-22002-200-1100-1-11100001-211-12-1-1-202000000000010-10
χ3922-22-12-22-2-22-12-12-11-211-2-2-1-12-21-2-12-1-12-1111-11-121-2-1-111-22002-200-22001-10011-1-10000-12-1-11-211-202000000000010-10
χ4022-22-12-22-2-22-12-12-11-211-2-2-1-12-21-2-12-1-12-1111-11-121-2-1-111-2200-2200-22001-10011-1-100001-211-12-1-120-20000000000-1010
χ4122-2-122-2211-122-1-12-2-211112-1-11-2-22222-1-1-211-1-2-1-111-1-1112-22-20022-11-112-22-2-1-111-1-111000000000000-2-1-11100000000
χ4222-2-122-2211-122-1-12-2-211112-1-11-2-22222-1-1-211-1-2-1-111-1-1112-2-2200-2-2-111-12-2-22-1-11111-1-1000000000000211-1-100000000
χ4322-2-122-2211-122-1-12-2-211112-1-11-2-22222-1-1-211-1-2-1-111-1-111-222-200-2-21-1-11-222-211-1-1-1-111000000000000211-1-100000000
χ4422-2-122-2211-122-1-12-2-211112-1-11-2-22222-1-1-211-1-2-1-111-1-111-22-2200221-11-1-22-2211-1-111-1-1000000000000-2-1-11100000000
χ4544444-2-4-44444-24-2-24-244-2-2-24-2-4-42-4222-4-2-2-2-2-22-42-4222220000000000000000000000000000000000000000000000000
χ464444-24-4-4444-24-24-2-24-2-244-2-24-42-42-422-4-2-2-2-2-222-42-422220000000000000000000000000000000000000000000000000
χ474444-2-244444-2-2-2-21-2-2-2-2-2-21-2-24-2-2-2-2114111111-2-2-2-21111000044000000000000000000-2-211-2-21100000000000000000
χ484444-2-244444-2-2-2-21-2-2-2-2-2-21-2-24-2-2-2-2114111111-2-2-2-211110000-4-400000000000000000022-1-122-1-100000000000000000
χ494444-2-2-4-4444-2-2-2-21-2-2-2-2-2-21-2-2-42222-1-1-411111-12222-1-1-1-1000000000000000000000000003i−3i003i−3i00000000000000000
χ504444-2-2-4-4444-2-2-2-21-2-2-2-2-2-21-2-2-42222-1-1-411111-12222-1-1-1-100000000000000000000000000−3i3i00−3i3i00000000000000000
χ51444-244-4-4-2-2-244-2-2444-2-2-2-24-2-22-4-4-4-4-4-42-24-2-2-2-4222222220000000000000000000000000000000000000000000000000
χ52444-24-244-2-2-24-2-21-24-2-2-211-2-21-24-24-2-2-2-21-2111-2-21-2111110044000000-2-200-2-2000011110000000000000000000000000
χ53444-24-244-2-2-24-2-21-24-2-2-211-2-21-24-24-2-2-2-21-2111-2-21-21111100-4-40000002200220000-1-1-1-10000000000000000000000000
χ54444-24-2-4-4-2-2-24-2-21-24-2-2-211-2-212-42-422221-211122-12-1-1-1-1-1000000000000000000003-33-30000000000000000000000000
χ55444-24-2-4-4-2-2-24-2-21-24-2-2-211-2-212-42-422221-211122-12-1-1-1-1-100000000000000000000-33-330000000000000000000000000
χ56444-2-2444-2-2-2-241-2-2-2411-2-2-21-2-2-24-24-2-2-21-2111-21-21-2111144000000-2-200-2-200111100000000000000000000000000000
χ57444-2-2444-2-2-2-241-2-2-2411-2-2-21-2-2-24-24-2-2-21-2111-21-21-21111-4-400000022002200-1-1-1-100000000000000000000000000000
χ58444-2-24-4-4-2-2-2-241-2-2-2411-2-2-21-222-42-42221-21112-12-12-1-1-1-100000000000000003-33-300000000000000000000000000000
χ59444-2-24-4-4-2-2-2-241-2-2-2411-2-2-21-222-42-42221-21112-12-12-1-1-1-10000000000000000-33-3300000000000000000000000000000
χ6044-444-24-4-4-444-24-2-2-42-4-422-24-244-2-4222-4-2222-2-2-424-222-2-20000000000000000000000000000000000000000000000000
χ6144-44-244-4-4-44-24-24-22-422-4-4-2-244-242-422-4-2222-2-22-4-2422-2-20000000000000000000000000000000000000000000000000
χ6244-44-2-24-4-4-44-2-2-2-212222221-2-24-2-222-1-1-41-1-1-11122-2-2-1-111000000000000000000000000003i−3i00−3i3i00000000000000000
χ6344-44-2-24-4-4-44-2-2-2-212222221-2-24-2-222-1-1-41-1-1-11122-2-2-1-11100000000000000000000000000−3i3i003i−3i00000000000000000
χ6444-44-2-2-44-4-44-2-2-2-212222221-2-2-422-2-21141-1-1-11-1-2-22211-1-100004-4000000000000000000-2-21122-1-100000000000000000
χ6544-44-2-2-44-4-44-2-2-2-212222221-2-2-422-2-21141-1-1-11-1-2-22211-1-10000-4400000000000000000022-1-1-2-21100000000000000000
χ6644-4-2444-422-244-2-24-4-422224-2-2-244-4-4-4-42-2-422-2422-2-222-2-20000000000000000000000000000000000000000000000000
χ6744-4-24-24-422-24-2-21-2-4222-1-1-2-21-24-2-4222212-1-11-22-1-21-1-111000000000000000000003-3-330000000000000000000000000
χ6844-4-24-24-422-24-2-21-2-4222-1-1-2-21-24-2-4222212-1-11-22-1-21-1-11100000000000000000000-333-30000000000000000000000000
χ6944-4-24-2-4422-24-2-21-2-4222-1-1-2-212-424-2-2-2-212-1-112-212-111-1-1004-4000000-2200-22000011-1-10000000000000000000000000
χ7044-4-24-2-4422-24-2-21-2-4222-1-1-2-212-424-2-2-2-212-1-112-212-111-1-100-440000002-2002-20000-1-1110000000000000000000000000
χ7144-4-2-244-422-2-241-2-22-4-1-122-21-2-2-242-422212-1-11-2-121-2-1-11100000000000000003-3-3300000000000000000000000000000
χ7244-4-2-244-422-2-241-2-22-4-1-122-21-2-2-242-422212-1-11-2-121-2-1-1110000000000000000-333-300000000000000000000000000000
χ7344-4-2-24-4422-2-241-2-22-4-1-122-21-222-4-24-2-2-212-1-1121-2-1211-1-14-4000000-2200-220011-1-100000000000000000000000000000
χ7444-4-2-24-4422-2-241-2-22-4-1-122-21-222-4-24-2-2-212-1-1121-2-1211-1-1-440000002-2002-200-1-11100000000000000000000000000000
χ754-404440000-4-4-4444000000-4-4-4000000004000-400000000000000022−220000000000000000000000000000022−220000000000
χ764-404440000-4-4-4444000000-4-4-4000000004000-4000000000000000−222200000000000000000000000000000−22220000000000
χ774-40-24400−2i32i32-4-4-2-2400−2i32i3−2i32i3-42200000000-20−2i32i3200000000000000022−2200000000000000000000000000000−22i6−i600000000
χ784-40-24400−2i32i32-4-4-2-2400−2i32i3−2i32i3-42200000000-20−2i32i32000000000000000−2222000000000000000000000000000002−2−i6i600000000
χ794-40-244002i3−2i32-4-4-2-24002i3−2i32i3−2i3-42200000000-202i3−2i3200000000000000022−2200000000000000000000000000000−22−i6i600000000
χ804-40-244002i3−2i32-4-4-2-24002i3−2i32i3−2i3-42200000000-202i3−2i32000000000000000−2222000000000000000000000000000002−2i6−i600000000
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
χ8388-8-4-4-48-844-4-4-422244-2-2-2-2222-4-4-444-2-24-1-211-12-2-22211-1-10000000000000000000000000000000000000000000000000
χ8488-8-4-4-4-8844-4-4-422244-2-2-2-2222444-4-422-4-1-211-1-222-2-2-1-1110000000000000000000000000000000000000000000000000
χ858-8088-40000-8-848-4-40000004-8400000000-400040000000000000000000000000000000000000000000000000000000000
χ868-808-480000-84-8-48-400000044-800000000-400040000000000000000000000000000000000000000000000000000000000
χ878-808-4-40000-844-4-42000000-244000006i−6i02000-2000006i−6i000000000000000000000000000000000000000000000000000
χ888-808-4-40000-844-4-42000000-24400000−6i6i02000-200000−6i6i000000000000000000000000000000000000000000000000000
χ898-80-48-400−4i34i34-84-42-400−4i34i32i3−2i344-200000000202i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ908-80-48-4004i3−4i34-84-42-4004i3−4i3−2i32i344-20000000020−2i32i3-20000000000000000000000000000000000000000000000000000000000
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−i3i3100000−3i3i33−330000000000000000000000000000000000000000000000000
χ948-80-4-4-400−4i34i3444222002i3−2i32i3−2i3-2-2-200000−6i6i0-10−i3i31000003i−3i−33330000000000000000000000000000000000000000000000000
χ958-80-4-4-4004i3−4i344422200−2i32i3−2i32i3-2-2-2000006i−6i0-10i3−i3100000−3i3i−33330000000000000000000000000000000000000000000000000
χ968-80-4-4-4004i3−4i344422200−2i32i3−2i32i3-2-2-200000−6i6i0-10i3−i31000003i−3i33−330000000000000000000000000000000000000000000000000

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