Finite Group Databasebeta

← Group #13180541

Character table — Group #13180541

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122233444444466666888888899121212121212121212121212121212121618181818181818242424242424242424272736363636363636363648485472727272108108
order1223644336666644444336666622241212121212121212121212121212622222666612121212121212442444666666124612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111111111111111111111-1-1-11-1111111-1-1-1-111111-1-11-1-1-1-1-1-1
χ3111111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-11-1-1-1-111111-1-1-1-1
χ4111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-11-1-1-1-1-111-1-1111-1-1-1-1-1-11-1-11111
χ511111-1-11111111-11111111111111111111-1-1-1-11111-1-111-1-1-1-111111-111111-1-1-1-1111-1-1-1-111-1-1-111-1-1
χ611111-1-11111111-11111111111111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-11111-1-111-1-11-1-1-1-1-1-1-111-1-111
χ711111-1-11111111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111
χ811111-1-11111111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1
χ911-1111111-1-1-111-111-1-111-1-1-111111-111-1-111-1-111-1-111-1-111-1-11111-1-1-111-1-111-111-1-111-1-11-1-1-111-11-1
χ1011-1111111-1-1-111-111-1-111-1-1-11111-1111-1-111-1-111-1-111-1-111-1-111-1-11-1111-1-1111-1-11-111-1-1-11-11-1-11-11
χ1111-1111111-1-1-111-1-1-11111-1-1-111111-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11111-11-11-1-1-1111-1-1-11-11-11
χ1211-1111111-1-1-111-1-1-11111-1-1-11111-11-1-11111-1-1-1-11111-1-1-1-11111-1-11-11-1-111111-11-1-1-1-111-11-11-11-11-1
χ1311-111-1-111-1-1-111111-1-111-1-1-111111-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-111-1-1-1-11-11-1-1-1-1111-111-11-1-11
χ1411-111-1-111-1-1-111111-1-111-1-1-11111-1111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-11-11-1-1-111-111-11-111-1
χ1511-111-1-111-1-1-1111-1-11111-1-1-111111-1-1-111-1-111-1-111-1-1-1-111-1-11111-11-1-1-111-1-11-1-11-111-1-11-111-1-111-1
χ1611-111-1-111-1-1-1111-1-11111-1-1-11111-11-1-111-1-111-1-111-1-1-1-111-1-111-1-1111-1-111-1-1-111-1-111-1-1-111-111-1-11
χ1722222222222222200002222222-2-200000022220000222-20000-2-2000200000-2-20000-2000000-2000000
χ1822222-2-22222222-200002222222-2-2000000-2-2-2-20000-2-22-20000-2-2000-200000220000-20000002000000
χ19222-1-10022-1222202222-1-12-1-1-1-12222-1-1-1-10000222200-120000-1-1-12-102-1-1-1-1000022-10000-1-1000-1-100
χ20222-1-10022-1222202222-1-12-1-1-1-122-2-2-1-1-1-10000222200-120000-1-11-210-2-1-1-1-10000-2-2-10000110001100
χ21222-1-10022-122220-2-2-2-2-1-12-1-1-1-1222211110000-2-2-2-200-120000-1-1-12-10211110000-2-2-10000-1-10001100
χ22222-1-10022-122220-2-2-2-2-1-12-1-1-1-122-2-211110000-2-2-2-200-120000-1-11-210-21111000022-1000011000-1-100
χ2322-2222222-2-2-222-2000022-2-2-222-2-200000022-2-2000022-220000-2-2000-200000-2-2000020000002000000
χ2422-222-2-222-2-2-2222000022-2-2-222-2-2000000-2-2220000-2-2-220000-2-20002000002200002000000-2000000
χ2522-2-1-100221-2-222022-2-2-1-1-211-1-1222-2-1-111000022-2-2001-20000-1-1-1210-2-1-11100002-210000-11000-1100
χ2622-2-1-100221-2-222022-2-2-1-1-211-1-122-22-1-111000022-2-2001-20000-1-11-2-102-1-1110000-22100001-10001-100
χ2722-2-1-100221-2-2220-2-222-1-1-211-1-1222-211-1-10000-2-222001-20000-1-1-1210-211-1-10000-2210000-110001-100
χ2822-2-1-100221-2-2220-2-222-1-1-211-1-122-2211-1-10000-2-222001-20000-1-11-2-10211-1-100002-2100001-1000-1100
χ292-202-22i−2i22000-2-20002i−2i22000-2-22-200002i−2i2i−2i00002i−2i2i−2i00002-22-200000002i−2i2i−2i00000002-2000000000
χ302-202-22i−2i22000-2-2000−2i2i22000-2-22-20000−2i2i2i−2i0000−2i2i2i−2i0000-222-20000000−2i2i2i−2i0000000-22000000000
χ312-202-22i−2i22000-2-202i−2i0022000-2-2-22002i−2i002i−2i002i−2i002i−2i002-200-22000002i−2i00−2i2i000002-200000000000
χ322-202-22i−2i22000-2-20−2i2i0022000-2-2-2200−2i2i002i−2i00−2i2i002i−2i00-2200-2200000−2i2i00−2i2i00000-2200000000000
χ332-202-2−2i2i22000-2-20002i−2i22000-2-22-200002i−2i−2i2i00002i−2i−2i2i0000-222-200000002i−2i−2i2i0000000-22000000000
χ342-202-2−2i2i22000-2-2000−2i2i22000-2-22-20000−2i2i−2i2i0000−2i2i−2i2i00002-22-20000000−2i2i−2i2i00000002-2000000000
χ352-202-2−2i2i22000-2-202i−2i0022000-2-2-22002i−2i00−2i2i002i−2i00−2i2i00-2200-22000002i−2i002i−2i00000-2200000000000
χ362-202-2−2i2i22000-2-20−2i2i0022000-2-2-2200−2i2i00−2i2i00−2i2i00−2i2i002-200-2200000−2i2i002i−2i000002-200000000000
χ3744444441-24-2-2-2140000-211-2-21-200220000-2-2-2-2000011100000002-121-1000000220000000-1-10-1-10000
χ3844444441-24-2-2-2140000-211-2-21-200-2-20000-2-2-2-200001110000000-21-211000000-2-20000000110110000
χ394444444-214111-2422221-2-211-21000022221111-1-1-1-1-2-2-20222200000-20-1-1-1-10000000-1-1-1-1000000000
χ404444444-214111-24-2-2-2-21-2-211-210000-2-2-2-211111111-2-2-20-2-2-2-200000-20111100000001111000000000
χ4144444-4-41-24-2-2-21-40000-211-2-21-20022000022220000-1-1100000002-12-1-1000000-2-20000000-1-10110000
χ4244444-4-41-24-2-2-21-40000-211-2-21-200-2-2000022220000-1-110000000-21-2-11000000220000000110-1-10000
χ4344444-4-4-214111-2-422221-2-211-2100002222-1-1-1-1-1-1-1-122-20-2-2-2-20000020-1-1-1-100000001111000000000
χ4444444-4-4-214111-2-4-2-2-2-21-2-211-210000-2-2-2-2-1-1-1-1111122-202222000002011110000000-1-1-1-1000000000
χ45444-2-20044-2444400000-2-24-2-2-2-2-4-40000000000000000-2-400002200000000000000020000000000000
χ4644-444441-2-422-21-40000-21-1221-2002-20000-2-222000011-100000002-1-2-11000000-220000000-1101-10000
χ4744-444441-2-422-21-40000-21-1221-200-220000-2-222000011-10000000-212-1-10000002-200000001-10-110000
χ4844-44444-21-4-1-11-2-422-2-21-22-1-1-21000022-2-211-1-1-1-111-2-22022-2-20000020-1-1110000000-1-111000000000
χ4944-44444-21-4-1-11-2-4-2-2221-22-1-1-210000-2-22211-1-111-1-1-2-220-2-222000002011-1-1000000011-1-1000000000
χ5044-444-4-41-2-422-2140000-21-1221-2002-2000022-2-20000-1-1-100000002-1-2110000002-20000000-110-110000
χ5144-444-4-41-2-422-2140000-21-1221-200-22000022-2-20000-1-1-10000000-2121-1000000-2200000001-101-10000
χ5244-444-4-4-21-4-1-11-2422-2-21-22-1-1-21000022-2-2-1-111-1-1112220-2-22200000-20-1-111000000011-1-1000000000
χ5344-444-4-4-21-4-1-11-24-2-2221-22-1-1-210000-2-222-1-11111-1-1222022-2-200000-2011-1-10000000-1-111000000000
χ5444-4-2-200442-4-44400000-2-2-422-2-2-4-4000000000000000024000022000000000000000-20000000000000
χ554-404-44i−4i-2103-3-1202i−2i2i−2i1-203-32-100002i−2i2i−2ii−i3i−3i−ii−ii−2i2i002-22-20000000−ii−ii0000000-11-11000000000
χ564-404-44i−4i-2103-3-120−2i2i−2i2i1-203-32-10000−2i2i−2i2ii−i3i−3ii−ii−i−2i2i00-22-220000000i−ii−i00000001-11-1000000000
χ574-404-44i−4i-210-33-1202i−2i−2i2i1-20-332-100002i−2i−2i2ii−i−3i3i−iii−i−2i2i002-2-220000000−iii−i0000000-111-1000000000
χ584-404-44i−4i-210-33-120−2i2i2i−2i1-20-332-10000−2i2i2i−2ii−i−3i3ii−i−ii−2i2i00-222-20000000i−i−ii00000001-1-11000000000
χ594-404-4−4i4i-2103-3-1202i−2i2i−2i1-203-32-100002i−2i2i−2i−ii−3i3i−ii−ii2i−2i00-22-220000000−ii−ii00000001-11-1000000000
χ604-404-4−4i4i-2103-3-120−2i2i−2i2i1-203-32-10000−2i2i−2i2i−ii−3i3ii−ii−i2i−2i002-22-20000000i−ii−i0000000-11-11000000000
χ614-404-4−4i4i-210-33-1202i−2i−2i2i1-20-332-100002i−2i−2i2i−ii3i−3i−iii−i2i−2i00-222-20000000−iii−i00000001-1-11000000000
χ624-404-4−4i4i-210-33-120−2i2i2i−2i1-20-332-10000−2i2i2i−2i−ii3i−3ii−i−ii2i−2i002-2-220000000i−i−ii0000000-111-1000000000
χ634-40-220044000-4-40004i−4i-2-2000224-40000−2i2i0000004i−4i00000000-220000000−2i2i00000000000000000000
χ644-40-220044000-4-4000−4i4i-2-2000224-400002i−2i000000−4i4i00000000-2200000002i−2i00000000000000000000
χ654-40-220044000-4-404i−4i00-2-200022-4400−2i2i0000004i−4i00000000002-200000−2i2i0000000000000000000000
χ664-40-220044000-4-40−4i4i00-2-200022-44002i−2i000000−4i4i00000000002-2000002i−2i0000000000000000000000
χ67888-4-4002-4-4-4-4-42000002-1222-12004400000000000000-10000000-2-2-20-2000000000000000110000000
χ68888-4-4002-4-4-4-4-42000002-1222-1200-4-400000000000000-1000000022202000000000000000-1-10000000
χ69888-4-400-42-4222-404444-12-4-1-12-10000-2-2-2-20000-2-2-2-2002000000000000111100000000000000000000
χ70888-4-400-42-4222-40-4-4-4-4-12-4-1-12-10000222200002222002000000000000-1-1-1-100000000000000000000
χ7188-8-4-4002-4444-42000002-1-2-2-2-12004-40000000000000010000000-2-22020000000000000001-10000000
χ7288-8-4-4002-4444-42000002-1-2-2-2-1200-44000000000000001000000022-20-2000000000000000-110000000
χ7388-8-4-400-424-2-22-4044-4-4-124112-10000-2-2220000-2-22200-200000000000011-1-100000000000000000000
χ7488-8-4-400-424-2-22-40-4-444-124112-1000022-2-2000022-2-200-2000000000000-1-11100000000000000000000
χ758-808-88i−8i2-40004-200000-42000-2400000000−4i4i0000002i−2i0000000000000000000000000000000000000
χ768-808-8−8i8i2-40004-200000-42000-24000000004i−4i000000−2i2i0000000000000000000000000000000000000
χ778-80-4400-4206-6-2404i−4i4i−4i-120-33-210000−2i2i−2i2i0000−2i2i−2i2i000000000000000i−ii−i00000000000000000000
χ788-80-4400-4206-6-240−4i4i−4i4i-120-33-2100002i−2i2i−2i00002i−2i2i−2i000000000000000−ii−ii00000000000000000000
χ798-80-4400-420-66-2404i−4i−4i4i-1203-3-210000−2i2i2i−2i0000−2i2i2i−2i000000000000000i−i−ii00000000000000000000
χ808-80-4400-420-66-240−4i4i4i−4i-1203-3-2100002i−2i−2i2i00002i−2i−2i2i000000000000000−iii−i00000000000000000000
χ8116-160-88004-80008-4000004-20002-40000000000000000000000000000000000000000000000000000000

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