Finite Group Databasebeta

← Group #13170581

Character table — Group #13170581

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222222222444444444444444444448888888888888812121212121218182424242424242424242424242424242424242424242424243636363636363636365454545472727272
order122333446666633366666666612121212121212123666612121212121212121222448888666666661212121212121212242424242424242422448242424242244661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111111-1-11
χ511111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-11-11-1-1-1-1-1-1-1-1-11-1-11
χ611111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-111-1
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
χ911-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-111-1-11-111-1-11-11-11-1111-11-111-1-11-11-111-1-11111-1-1-1-11-1-11-111-1-11-11-1-11-11
χ1011-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-111-1-11-111-1-11-11-1-11111-11-111-1-11-11-111-1-1-1-1-1-11111-111-1-111-1-1-11-111-11-1
χ1111-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-111-1-11-111-1-11-1-111-1-1-11-11-111-1-1-11-11-1-1111111-1-1-1-111-1-11-1-111-11-1111-1-1
χ1211-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-111-1-11-111-1-11-1-11-11-1-11-11-111-1-1-11-11-1-111-1-1-1-11111-1-1111-1-1111-11-1-1-111
χ1311-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-111-1-11-111-1-1-111-11-1-1-1-11-11-1-1111-11-111-1-11111-1-1-1-1-1-1111-1-111-11-11-1-111
χ1411-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-111-1-11-111-1-1-111-1-11-1-1-11-11-1-1111-11-111-1-1-1-1-1-1111111-1-11-1-1111-11-111-1-1
χ1511-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-111-1-11-111-1-1-11-111-111-11-11-1-111-11-11-1-1111111-1-1-1-1-111-1-111-1-11-11-11-11-1
χ1611-1111-11-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-111-1-11-111-1-1-11-11-1111-11-11-1-111-11-11-1-111-1-1-1-111111-1-11-111-1-1-11-11-11-11
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
χ1922222-122222-122-1-12-122-1-1-1-122-12-12-1-12-1-1-1-1-1-1-1-122-1-1-1-12200220022-1-1-1-1-1-1000000002-1-1-12-1-1-120200000000000-1-10
χ2022222-122222-122-1-12-122-1-1-1-122-12-12-1-12-1-1-1-1-1-1-1-122-1-1-1-12200-2-20022-1-1-1-1-1-100000000-2111-2111-20-200000000000110
χ2122222-122222-122-1-12-122-1-1-1-122-12-12-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2002200-2-2111111000000002-1-1-12-1-1-1-20-200000000000110
χ2222222-122222-122-1-12-122-1-1-1-122-12-12-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2-200-2-211111100000000-2111-211120200000000000-1-10
χ232222-12222222-1-1-12-12-1-122-12-122-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1002222000000000022-1-1-1-1-1-1-12-1-1-12-1-10202000000000-100-1
χ242222-12222222-1-1-12-12-1-122-12-122-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-10022-2-2000000000022-1-1-1-1-1-11-2111-2110-20-20000000001001
χ252222-12222222-1-1-12-12-1-122-12-122-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-100-2-2220000000000-2-2111111-12-1-1-12-1-10-20-20000000001001
χ262222-12222222-1-1-12-12-1-122-12-122-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-100-2-2-2-20000000000-2-21111111-2111-2110202000000000-100-1
χ27222-12222-1-1-122-12-122-1-1-1-12-1-1-1222222-1-12-1-1-1-1-12-1-1-1-1-1-122220022-1-122-1-1-1-1-1-122-1-1-1-10000000000002-1-1-1-100000000
χ28222-12222-1-1-122-12-122-1-1-1-12-1-1-1222222-1-12-1-1-1-1-12-1-1-1-1-1-122-2-200-2-2-1-122-1-1-1-111-2-21111000000000000-2111100000000
χ29222-12222-1-1-122-12-122-1-1-1-12-1-1-1222222-1-12-1-1-1-1-12-1-1-1-1-1-1-2-22200-2-211-2-21111-1-122-1-1-1-1000000000000-2111100000000
χ30222-12222-1-1-122-12-122-1-1-1-12-1-1-1222222-1-12-1-1-1-1-12-1-1-1-1-1-1-2-2-2-2002211-2-2111111-2-211110000000000002-1-1-1-100000000
χ3122-22222-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-22-2-2-22-222-22-2-2220000000000000000000000000000000000000000022-2-20000
χ3222-22222-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-22-2-2-22-222-22-2-22200000000000000000000000000000000000000000-2-2220000
χ3322-222-1-22-2-22-122-1-1-21-2-211-1-12-21-2-12-1-12-1111-1-1112-2-1-1112-2002-2002-2-11-1-111000000002-1-1-1-211120-200000000000-110
χ3422-222-1-22-2-22-122-1-1-21-2-211-1-12-21-2-12-1-12-1111-1-1112-2-1-1112-200-22002-2-11-1-11100000000-21112-1-1-1-202000000000001-10
χ3522-222-1-22-2-22-122-1-1-21-2-211-1-12-21-2-12-1-12-1111-1-1112-2-1-111-22002-200-221-111-1-1000000002-1-1-1-2111-202000000000001-10
χ3622-222-1-22-2-22-122-1-1-21-2-211-1-12-21-2-12-1-12-1111-1-1112-2-1-111-2200-2200-221-111-1-100000000-21112-1-1-120-200000000000-110
χ3722-22-12-22-2-222-1-1-121-211-2-2-12-1-2-212-1-1-12-1111-12-21-11-1-111002-22-200000000002-2-11-1-111-12-1-11-2110-202000000000100-1
χ3822-22-12-22-2-222-1-1-121-211-2-2-12-1-2-212-1-1-12-1111-12-21-11-1-111002-2-2200000000002-2-11-1-1111-211-12-1-1020-2000000000-1001
χ3922-22-12-22-2-222-1-1-121-211-2-2-12-1-2-212-1-1-12-1111-12-21-11-1-11100-222-20000000000-221-111-1-1-12-1-11-211020-2000000000-1001
χ4022-22-12-22-2-222-1-1-121-211-2-2-12-1-2-212-1-1-12-1111-12-21-11-1-11100-22-220000000000-221-111-1-11-211-12-1-10-202000000000100-1
χ4122-2-122-2211-122-12-1-2-211112-1-11-2-22222-1-1-211-1-11-2-11-1-1112-22-20022-112-2-1-111-112-2-1-111000000000000-2-1-11100000000
χ4222-2-122-2211-122-12-1-2-211112-1-11-2-22222-1-1-211-1-11-2-11-1-1112-2-2200-2-2-112-2-1-1111-1-2211-1-1000000000000211-1-100000000
χ4322-2-122-2211-122-12-1-2-211112-1-11-2-22222-1-1-211-1-11-2-11-1-111-222-200-2-21-1-2211-1-1-112-2-1-111000000000000211-1-100000000
χ4422-2-122-2211-122-12-1-2-211112-1-11-2-22222-1-1-211-1-11-2-11-1-111-22-2200221-1-2211-1-11-1-2211-1-1000000000000-2-1-11100000000
χ4544444-2-4-4444-244-2-24-244-2-2-2-24-42-42-422-4-2-2-2-2-2222-4-422220000000000000000000000000000000000000000000000000
χ464444-24-4-44444-2-2-24-24-2-244-24-2-4-42-4222-4-2-2-2-2-2-4-422222220000000000000000000000000000000000000000000000000
χ474444-2-244444-2-2-21-2-2-2-2-2-2-21-2-24-2-2-2-211411111-2-21-2-21111000044000000000000000000-2-211-2-21100000000000000000
χ484444-2-244444-2-2-21-2-2-2-2-2-2-21-2-24-2-2-2-211411111-2-21-2-211110000-4-400000000000000000022-1-122-1-100000000000000000
χ494444-2-2-4-4444-2-2-21-2-2-2-2-2-2-21-2-2-42222-1-1-41111122-122-1-1-1-1000000000000000000000000003i−3i003i−3i00000000000000000
χ504444-2-2-4-4444-2-2-21-2-2-2-2-2-2-21-2-2-42222-1-1-41111122-122-1-1-1-100000000000000000000000000−3i3i00−3i3i00000000000000000
χ51444-244-4-4-2-2-244-24-244-2-2-2-24-2-22-4-4-4-4-4-42-24-2-2-222-42222220000000000000000000000000000000000000000000000000
χ52444-24-244-2-2-2-24-2-214-2-2-211-21-2-2-24-24-2-2-21-211111-2-2-2111144000000-2-2-2-21111000000000000000000000000000000000
χ53444-24-244-2-2-2-24-2-214-2-2-211-21-2-2-24-24-2-2-21-211111-2-2-21111-4-40000002222-1-1-1-1000000000000000000000000000000000
χ54444-24-2-4-4-2-2-2-24-2-214-2-2-211-21-222-42-42221-2111-1-1222-1-1-1-10000000000003-33-3000000000000000000000000000000000
χ55444-24-2-4-4-2-2-2-24-2-214-2-2-211-21-222-42-42221-2111-1-1222-1-1-1-1000000000000-33-33000000000000000000000000000000000
χ56444-2-2444-2-2-24-21-2-2-2411-2-2-2-21-24-24-2-2-2-21-2111-2-2-21111110044000000000000-2-2-2-211110000000000000000000000000
χ57444-2-2444-2-2-24-21-2-2-2411-2-2-2-21-24-24-2-2-2-21-2111-2-2-211111100-4-40000000000002222-1-1-1-10000000000000000000000000
χ58444-2-24-4-4-2-2-24-21-2-2-2411-2-2-2-212-42-422221-2111222-1-1-1-1-1-1000000000000000000003-33-30000000000000000000000000
χ59444-2-24-4-4-2-2-24-21-2-2-2411-2-2-2-212-42-422221-2111222-1-1-1-1-1-100000000000000000000-33-330000000000000000000000000
χ6044-444-24-4-4-44-244-2-2-42-4-422-2-244-242-422-4-2222-22-2-2-4422-2-20000000000000000000000000000000000000000000000000
χ6144-44-244-4-4-444-2-2-242-422-4-4-24-244-2-4222-4-2222-2-44-22-222-2-20000000000000000000000000000000000000000000000000
χ6244-44-2-24-4-4-44-2-2-21-22222221-2-24-2-222-1-1-41-1-1-112-212-2-1-111000000000000000000000000003i−3i00−3i3i00000000000000000
χ6344-44-2-24-4-4-44-2-2-21-22222221-2-24-2-222-1-1-41-1-1-112-212-2-1-11100000000000000000000000000−3i3i003i−3i00000000000000000
χ6444-44-2-2-44-4-44-2-2-21-22222221-2-2-422-2-21141-1-1-11-22-1-2211-1-100004-4000000000000000000-2-21122-1-100000000000000000
χ6544-44-2-2-44-4-44-2-2-21-22222221-2-2-422-2-21141-1-1-11-22-1-2211-1-10000-4400000000000000000022-1-1-2-21100000000000000000
χ6644-4-2444-422-244-24-2-4-422224-2-2-244-4-4-4-42-2-422-22-242-222-2-20000000000000000000000000000000000000000000000000
χ6744-4-24-24-422-2-24-2-21-4222-1-1-21-2-2-242-422212-1-11-11-22-2-1-1110000000000003-3-33000000000000000000000000000000000
χ6844-4-24-24-422-2-24-2-21-4222-1-1-21-2-2-242-422212-1-11-11-22-2-1-111000000000000-333-3000000000000000000000000000000000
χ6944-4-24-2-4422-2-24-2-21-4222-1-1-21-222-4-24-2-2-212-1-111-12-2211-1-14-4000000-22-2211-1-1000000000000000000000000000000000
χ7044-4-24-2-4422-2-24-2-21-4222-1-1-21-222-4-24-2-2-212-1-111-12-2211-1-1-440000002-22-2-1-111000000000000000000000000000000000
χ7144-4-2-244-422-24-21-2-22-4-1-122-2-21-24-2-4222212-1-112-2-2-11-1-111000000000000000000003-3-330000000000000000000000000
χ7244-4-2-244-422-24-21-2-22-4-1-122-2-21-24-2-4222212-1-112-2-2-11-1-11100000000000000000000-333-30000000000000000000000000
χ7344-4-2-24-4422-24-21-2-22-4-1-122-2-212-424-2-2-2-212-1-11-2221-111-1-1004-4000000000000-22-2211-1-10000000000000000000000000
χ7444-4-2-24-4422-24-21-2-22-4-1-122-2-212-424-2-2-2-212-1-11-2221-111-1-100-440000000000002-22-2-1-1110000000000000000000000000
χ754-404440000-4-4-4444000000-4-4-4000000004000-4000000000000000−2i22i200000000000000000000000000000−2i22i20000000000
χ764-404440000-4-4-4444000000-4-4-4000000004000-40000000000000002i2−2i2000000000000000000000000000002i2−2i20000000000
χ774-40-24400−2i32i32-4-4-24-200−2i32i3−2i32i3-42200000000-20−2i32i32000000000000000−2i22i200000000000000000000000000000i2−i26−600000000
χ784-40-24400−2i32i32-4-4-24-200−2i32i3−2i32i3-42200000000-20−2i32i320000000000000002i2−2i200000000000000000000000000000−i2i2−6600000000
χ794-40-244002i3−2i32-4-4-24-2002i3−2i32i3−2i3-42200000000-202i3−2i32000000000000000−2i22i200000000000000000000000000000i2−i2−6600000000
χ804-40-244002i3−2i32-4-4-24-2002i3−2i32i3−2i3-42200000000-202i3−2i320000000000000002i2−2i200000000000000000000000000000−i2i26−600000000
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
χ8388-8-4-4-48-844-4-4-422244-2-2-2-2222-4-4-444-2-24-1-211-1-222-2211-1-10000000000000000000000000000000000000000000000000
χ8488-8-4-4-4-8844-4-4-422244-2-2-2-2222444-4-422-4-1-211-12-2-22-2-1-1110000000000000000000000000000000000000000000000000
χ858-8088-40000-84-88-4-400000044-800000000-400040000000000000000000000000000000000000000000000000000000000
χ868-808-480000-8-84-4-480000004-8400000000-400040000000000000000000000000000000000000000000000000000000000
χ878-808-4-40000-844-42-4000000-244000006i−6i02000-2000006i−6i000000000000000000000000000000000000000000000000000
χ888-808-4-40000-844-42-4000000-24400000−6i6i02000-200000−6i6i000000000000000000000000000000000000000000000000000
χ898-80-48-400−4i34i344-8-4-4200−4i34i32i3−2i34-2400000000202i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ908-80-48-4004i3−4i344-8-4-42004i3−4i3−2i32i34-240000000020−2i32i3-20000000000000000000000000000000000000000000000000000000000
χ918-80-4-4800−4i34i34-842-4-4002i3−2i3−4i34i344-200000000202i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ928-80-4-48004i3−4i34-842-4-400−2i32i34i3−4i344-20000000020−2i32i3-20000000000000000000000000000000000000000000000000000000000
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).