Finite Group Databasebeta

← Group #11873335

Character table — Group #11873335

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121218181818242424242424242424242424242436363636363648484848
order122233446666662344444666121212121212121212121212666612121212121212121212121212121212121288884444444488242424242424242444444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-11-11-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-11-11-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ51111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-111-11111-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-11-1-1-1-11111-1-1111111-1-1
χ81111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ911111111111111-1111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1111111111-1-11-1-111-1-111-1-1-1-111-1-11-11-1
χ1011111111111111-1111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-1111-1-11
χ1111111111111111-1111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-111-1-111-111-1
χ1211111111111111-1111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-111-111-1-111-1-111-1-111-1-1-11-11
χ1311111111111111-11-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-111-1-1-111-1-111-1-1-1-1-1-111-11-11
χ1411111111111111-11-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1111-1-1-1-1111111-1-1-111-1
χ1511111111111111-11-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11-1-1-11111-1-11111-1-11-1-11
χ1611111111111111-11-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-1-1111-1-111-1-111-1-1-1-1111-11-1
χ17222222-2-2222222220000-2222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-200000000000022-2-2000000000000002-200000000
χ18222222-2-2222222220000-2222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-2000000000000-2-22200000000000000-2200000000
χ19222222-2-2222222-220000222222222222-2-2-2-2-2-2-2-200000000-2-200000000000022-2-200000000000000-2200000000
χ20222222-2-2222222-220000222222222222-2-2-2-2-2-2-2-200000000-2-2000000000000-2-222000000000000002-200000000
χ2122222-1222-122-1-12-122222-1-1-122-1-1-1-1-1-122-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122000000202020-1-1-1-10000000000-1-100
χ2222222-1222-122-1-12-122222-1-1-122-1-1-1-1-1-122-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2000000-20-20-20111100000000001100
χ2322222-1222-122-1-12-1-2-2-2-22-1-1-122-1-1-1-1-1-122-1-12-1-1-1-2-21111-2-2-1-11111111122000000-20-2020-1-1-1-100000000001100
χ2422222-1222-122-1-12-1-2-2-2-22-1-1-122-1-1-1-1-1-122-1-12-1-1-1-2-21111-2-2-1-111111111-2-20000002020-2011110000000000-1-100
χ2522222-1222-122-1-1-2-122-2-2-2-1-1-1-2-211111122-1-1-21112211-1-1-2-2-1-1-1-1-1-111112200000020-20-20-1-1110000000000-1100
χ2622222-1222-122-1-1-2-122-2-2-2-1-1-1-2-211111122-1-1-21112211-1-1-2-2-1-1-1-1-1-11111-2-2000000-20202011-1-100000000001-100
χ2722222-1222-122-1-1-2-1-2-222-2-1-1-1-2-211111122-1-1-2111-2-2-1-11122-1-11111-1-1-1-122000000-2020-20-1-11100000000001-100
χ2822222-1222-122-1-1-2-1-2-222-2-1-1-1-2-211111122-1-1-2111-2-2-1-11122-1-11111-1-1-1-1-2-200000020-202011-1-10000000000-1100
χ292222-1222-12-1-1222-122222-1-1-1-1-122-1-1-1-1-1-122-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002200000202020000-1-1-1-100000000-1-1
χ302222-1222-12-1-1222-122222-1-1-1-1-122-1-1-1-1-1-122-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200000-20-20-2000011110000000011
χ312222-1222-12-1-1222-1-2-2-2-22-1-1-1-1-122-1-1-1-1-1-122-12-1-111-2-2-2-211-1-111111111002200000-20-2020000-1-1-1-10000000011
χ322222-1222-12-1-1222-1-2-2-2-22-1-1-1-1-122-1-1-1-1-1-122-12-1-111-2-2-2-211-1-11111111100-2-2000002020-20000111100000000-1-1
χ332222-1222-12-1-122-2-122-2-2-2-1-1-111-2-21111-1-1221-211-1-1-2-22211-1-1-1-1-1-11111002200000-2020-20000-1-11100000000-11
χ342222-1222-12-1-122-2-122-2-2-2-1-1-111-2-21111-1-1221-211-1-1-2-22211-1-1-1-1-1-1111100-2-20000020-202000011-1-1000000001-1
χ352222-1222-12-1-122-2-1-2-222-2-1-1-111-2-21111-1-1221-2111122-2-2-1-1-1-11111-1-1-1-100220000020-20-20000-1-111000000001-1
χ362222-1222-12-1-122-2-1-2-222-2-1-1-111-2-21111-1-1221-2111122-2-2-1-1-1-11111-1-1-1-100-2-200000-20202000011-1-100000000-11
χ372-2-22222-2-2-22-22-202002i−2i02-2-2000000002-22-20000002i−2i002i−2i2-200002i2i−2i−2i00002i−2i2i−2i0000000000000000002-20000
χ382-2-22222-2-2-22-22-202002i−2i02-2-2000000002-22-20000002i−2i002i−2i2-200002i2i−2i−2i0000−2i2i−2i2i000000000000000000-220000
χ392-2-22222-2-2-22-22-20200−2i2i02-2-2000000002-22-2000000−2i2i00−2i2i2-20000−2i−2i2i2i00002i−2i2i−2i000000000000000000-220000
χ402-2-22222-2-2-22-22-20200−2i2i02-2-2000000002-22-2000000−2i2i00−2i2i2-20000−2i−2i2i2i0000−2i2i−2i2i0000000000000000002-20000
χ412-2-2222-22-2-22-22-2022i−2i0002-2-200000000-22-2200002i−2i002i−2i00-222i2i−2i−2i000000002i−2i−2i2i00000000000000002-2000000
χ422-2-2222-22-2-22-22-2022i−2i0002-2-200000000-22-2200002i−2i002i−2i00-222i2i−2i−2i00000000−2i2i2i−2i0000000000000000-22000000
χ432-2-2222-22-2-22-22-202−2i2i0002-2-200000000-22-220000−2i2i00−2i2i00-22−2i−2i2i2i000000002i−2i−2i2i0000000000000000-22000000
χ442-2-2222-22-2-22-22-202−2i2i0002-2-200000000-22-220000−2i2i00−2i2i00-22−2i−2i2i2i00000000−2i2i2i−2i00000000000000002-2000000
χ4544444-2-4-44-244-2-24-20000-4-2-2-2-4-4222222-4-4224-2-2-200000000220000000000000000000000000000000000000000
χ4644444-2-4-44-244-2-2-4-200004-2-2-244-2-2-2-2-2-2-4-422-422200000000220000000000000000000000000000000000000000
χ474444-24-4-4-24-2-2444-20000-4-2-2-222-4-4222222-4-4-24-2-200000000220000000000000000000000000000000000000000
χ484444-24-4-4-24-2-244-4-200004-2-2-2-2-244-2-2-2-222-4-42-42200000000220000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-24144444111-2-2-2-21111-2-2-2-2-2-211-2-2-2-2-2-2-2-2111111111100000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-241-4-4-4-44111-2-2-2-21111-2-2-2-2-2-2112222222211-1-1-1-1-1-1-1-100000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4144-4-4-41112222-1-1-1-1-2-2-2-222-1-1-2-222-2-222111111-1-1-1-100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-41-4-444-41112222-1-1-1-1-2-2-2-222-1-122-2-222-2-211-1-1-1-1111100000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2410000-41112222-1-1-1-12222-2-21100000000-1-13-33-33-33-300000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2410000-41112222-1-1-1-12222-2-21100000000-1-1-33-33-33-3300000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2-4100004111-2-2-2-21111222222-1-100000000-1-13-33-3-33-3300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2-4100004111-2-2-2-21111222222-1-100000000-1-1-33-333-33-300000000000000000000000000000000
χ5744-4-444004-4-4-4-440400000-44-4000000000000000000000000000000000022−2200000000000022−220000000000000000
χ5844-4-444004-4-4-4-440400000-44-40000000000000000000000000000000000−2222000000000000−22220000000000000000
χ5944-4-44-20042-4-42-20-2000002-220023−232323−23−230000000000000000000000000022−22000000000000−226−600000000000000
χ6044-4-44-20042-4-42-20-2000002-220023−232323−23−2300000000000000000000000000−22220000000000002−2−6600000000000000
χ6144-4-44-20042-4-42-20-2000002-2200−2323−23−2323230000000000000000000000000022−22000000000000−22−6600000000000000
χ6244-4-44-20042-4-42-20-2000002-2200−2323−23−23232300000000000000000000000000−22220000000000002−26−600000000000000
χ634-44-44400-44-44-4-40400000-4-4400000000000000000000000000000000000022−220000000000000022−22000000000000
χ644-44-44400-44-44-4-40400000-4-44000000000000000000000000000000000000−222200000000000000−2222000000000000
χ654-44-4-2400242-2-4-40-20000022-223−230023−2323−23000000000000000000000000000022−2200000000000000−226−60000000000
χ664-44-4-2400242-2-4-40-20000022-223−230023−2323−230000000000000000000000000000−2222000000000000002−2−660000000000
χ674-44-4-2400242-2-4-40-20000022-2−232300−2323−2323000000000000000000000000000022−2200000000000000−22−660000000000
χ684-44-4-2400242-2-4-40-20000022-2−232300−2323−23230000000000000000000000000000−2222000000000000002−26−60000000000
χ694-4-444-24-4-424-4-220-2004i−4i0-222000000004-4-22000000−2i2i004i−4i-220000−2i−2i2i2i00000000000000000000000000000000
χ704-4-444-24-4-424-4-220-200−4i4i0-222000000004-4-220000002i−2i00−4i4i-2200002i2i−2i−2i00000000000000000000000000000000
χ714-4-444-2-44-424-4-220-24i−4i000-22200000000-442-200004i−4i00−2i2i002-2−2i−2i2i2i000000000000000000000000000000000000
χ724-4-444-2-44-424-4-220-2−4i4i000-22200000000-442-20000−4i4i002i−2i002-22i2i−2i−2i000000000000000000000000000000000000
χ734-4-44-244-42-4-224-40-2004i−4i0-22200000000-224-40000004i−4i00−2i2i-220000−2i−2i2i2i00000000000000000000000000000000
χ744-4-44-244-42-4-224-40-200−4i4i0-22200000000-224-4000000−4i4i002i−2i-2200002i2i−2i−2i00000000000000000000000000000000
χ754-4-44-24-442-4-224-40-24i−4i000-222000000002-2-440000−2i2i004i−4i002-2−2i−2i2i2i000000000000000000000000000000000000
χ764-4-44-24-442-4-224-40-2−4i4i000-222000000002-2-4400002i−2i00−4i4i002-22i2i−2i−2i000000000000000000000000000000000000
χ774-4-44-2-24-422-22-2201004i−4i01-1-100003-3-33-22-22003-300−2i2i00−2i2i1-13i−3i−3i3iii−i−i00000000000000000000000000000000
χ784-4-44-2-24-422-22-2201004i−4i01-1-10000-333-3-22-2200-3300−2i2i00−2i2i1-1−3i3i3i−3iii−i−i00000000000000000000000000000000
χ794-4-44-2-24-422-22-220100−4i4i01-1-100003-3-33-22-22003-3002i−2i002i−2i1-1−3i3i3i−3i−i−iii00000000000000000000000000000000
χ804-4-44-2-24-422-22-220100−4i4i01-1-10000-333-3-22-2200-33002i−2i002i−2i1-13i−3i−3i3i−i−iii00000000000000000000000000000000
χ814-4-44-2-2-4422-22-22014i−4i0001-1-100003-3-332-22-200-33−2i2i00−2i2i00-11ii−i−i−3i3i3i−3i00000000000000000000000000000000
χ824-4-44-2-2-4422-22-22014i−4i0001-1-10000-333-32-22-2003-3−2i2i00−2i2i00-11ii−i−i3i−3i−3i3i00000000000000000000000000000000
χ834-4-44-2-2-4422-22-2201−4i4i0001-1-100003-3-332-22-200-332i−2i002i−2i00-11−i−iii3i−3i−3i3i00000000000000000000000000000000
χ844-4-44-2-2-4422-22-2201−4i4i0001-1-10000-333-32-22-2003-32i−2i002i−2i00-11−i−iii−3i3i3i−3i00000000000000000000000000000000
χ8588-8-8-4800-4-844-880-4000004-44000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-44444-40200000-22-20043−43−23−2323230000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400-44444-40200000-22-200−43432323−23−230000000000000000000000000000000000000000000000000000000000
χ888-88-88-400-8-4-88440-40000044-4000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-4004-44-4440200000-2-2243−4300−2323−23230000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-4004-44-4440200000-2-22−43430023−2323−230000000000000000000000000000000000000000000000000000000000

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