Finite Group Databasebeta

← Group #11870391

Character table — Group #11870391

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121218181818242424242424242424242424242436363636363648484848
order12223344666666234444466612121212121212121212121266661212121212121212121212121212121212128888224424448824242424242424242444446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ51111111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-11111-1-111
χ71111111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1-1-11111-1-1111111-1-1
χ81111111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ911111111111111-1111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111-1-11-1-111-1-111-1-1-1-111-1-11-11-1
χ1011111111111111-1111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-11-1-1111-1-1-1-11111-1-1111-1-11
χ1111111111111111-1111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-11-111-1-1-11111-1-111-1-111-111-1
χ1211111111111111-1111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-111-111-1-111-1-111-1-111-1-1-11-11
χ1311111111111111-11-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-111-1-1-111-1-111-1-1-1-1-1-111-11-11
χ1411111111111111-11-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-11-11-1111-1-1-1-1111111-1-1-111-1
χ1511111111111111-11-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11-11-11-1-1-11111-1-11111-1-11-1-11
χ1611111111111111-11-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-111-1-111-1-1-1-1111-11-1
χ17222222-2-22222222200-200222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-200000000000022-2-200000000000000-2200000000
χ18222222-2-22222222200-200222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-2000000000000-2-222000000000000002-200000000
χ19222222-2-2222222-220020022222222222-2-2-2-2-2-2-2-200000000-2-200000000000022-2-2000000000000002-200000000
χ20222222-2-2222222-220020022222222222-2-2-2-2-2-2-2-200000000-2-2000000000000-2-22200000000000000-2200000000
χ2122222-1222-1-122-12-122222-1-1-1-1-122-1-1-1-1-1-1222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122000000220020-1-1-1-10000000000-1-100
χ2222222-1222-1-122-12-122222-1-1-1-1-122-1-1-1-1-1-1222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-200-20111100000000001100
χ2322222-1222-1-122-12-1-2-22-2-2-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-2-211-2-211-1-11111111122000000-2-20020-1-1-1-100000000001100
χ2422222-1222-1-122-12-1-2-22-2-2-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-2-211-2-211-1-111111111-2-20000002200-2011110000000000-1-100
χ2522222-1222-1-122-1-2-122-2-2-2-1-1-111-2-21111-1-122-2111-2-21122-1-1-1-1-1-1-1-11111220000002-200-20-1-1110000000000-1100
χ2622222-1222-1-122-1-2-122-2-2-2-1-1-111-2-21111-1-122-2111-2-21122-1-1-1-1-1-1-1-11111-2-2000000-22002011-1-100000000001-100
χ2722222-1222-1-122-1-2-1-2-2-222-1-1-111-2-21111-1-122-211122-1-1-2-211-1-11111-1-1-1-122000000-2200-20-1-11100000000001-100
χ2822222-1222-1-122-1-2-1-2-2-222-1-1-111-2-21111-1-122-211122-1-1-2-211-1-11111-1-1-1-1-2-20000002-2002011-1-10000000000-1100
χ292222-1222-122-1-122-122222-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1002200000022020000-1-1-1-100000000-1-1
χ302222-1222-122-1-122-122222-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100-2-2000000-2-20-2000011110000000011
χ312222-1222-122-1-122-1-2-22-2-2-1-1-122-1-1-1-1-1-122-1-1-12-1-111-2-211-2-2-1-1111111110022000000-2-2020000-1-1-1-10000000011
χ322222-1222-122-1-122-1-2-22-2-2-1-1-122-1-1-1-1-1-122-1-1-12-1-111-2-211-2-2-1-11111111100-2-2000000220-20000111100000000-1-1
χ332222-1222-122-1-12-2-122-2-2-2-1-1-1-2-211111122-1-11-21111-2-2-1-122-1-1-1-1-1-111110022000000-220-20000-1-11100000000-11
χ342222-1222-122-1-12-2-122-2-2-2-1-1-1-2-211111122-1-11-21111-2-2-1-122-1-1-1-1-1-1111100-2-20000002-202000011-1-1000000001-1
χ352222-1222-122-1-12-2-1-2-2-222-1-1-1-2-211111122-1-11-211-1-12211-2-2-1-11111-1-1-1-100220000002-20-20000-1-111000000001-1
χ362222-1222-122-1-12-2-1-2-2-222-1-1-1-2-211111122-1-11-211-1-12211-2-2-1-11111-1-1-1-100-2-2000000-2202000011-1-100000000-11
χ372-22-2222-2-22-22-2-2020002i−2i2-2-2000000002-22-200002i−2i2i−2i00002-200002i2i−2i−2i00002-22-20000000000000000002i−2i0000
χ382-22-2222-2-22-22-2-2020002i−2i2-2-2000000002-22-200002i−2i2i−2i00002-200002i2i−2i−2i0000-22-22000000000000000000−2i2i0000
χ392-22-2222-2-22-22-2-202000−2i2i2-2-2000000002-22-20000−2i2i−2i2i00002-20000−2i−2i2i2i00002-22-2000000000000000000−2i2i0000
χ402-22-2222-2-22-22-2-202000−2i2i2-2-2000000002-22-20000−2i2i−2i2i00002-20000−2i−2i2i2i0000-22-220000000000000000002i−2i0000
χ412-22-222-22-22-22-2-2022i−2i0002-2-200000000-22-22000000002i−2i2i−2i-222i2i−2i−2i000000002-2-2200000000000000002i−2i000000
χ422-22-222-22-22-22-2-2022i−2i0002-2-200000000-22-22000000002i−2i2i−2i-222i2i−2i−2i00000000-222-20000000000000000−2i2i000000
χ432-22-222-22-22-22-2-202−2i2i0002-2-200000000-22-2200000000−2i2i−2i2i-22−2i−2i2i2i000000002-2-220000000000000000−2i2i000000
χ442-22-222-22-22-22-2-202−2i2i0002-2-200000000-22-2200000000−2i2i−2i2i-22−2i−2i2i2i00000000-222-200000000000000002i−2i000000
χ4544444-2-4-44-2-244-24-200-400-2-2-222-4-4222222-4-44-2-2-200000000220000000000000000000000000000000000000000
χ4644444-2-4-44-2-244-2-4-200400-2-2-2-2-244-2-2-2-222-4-4-422200000000220000000000000000000000000000000000000000
χ474444-24-4-4-244-2-244-200-400-2-2-2-4-4222222-4-422-24-2-200000000220000000000000000000000000000000000000000
χ484444-24-4-4-244-2-24-4-200400-2-2-244-2-2-2-2-2-2-4-4222-42200000000220000000000000000000000000000000000000000
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
χ504444-2-244-2-2-2-2-2-241-4-44-4-4111-2-2-2-21111-2-2-2-2-2-2112222222211-1-1-1-1-1-1-1-100000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4144-4-4-41112222-1-1-1-1-2-2-2-222-1-12222-2-2-2-2111111-1-1-1-100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-41-4-4-4441112222-1-1-1-1-2-2-2-222-1-1-2-2-2-2222211-1-1-1-1111100000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-24100-4001112222-1-1-1-12222-2-21100000000-1-13-33-33-33-300000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-24100-4001112222-1-1-1-12222-2-21100000000-1-1-33-33-33-3300000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2-4100400111-2-2-2-21111222222-1-100000000-1-13-33-3-33-3300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2-4100400111-2-2-2-21111222222-1-100000000-1-1-33-333-33-300000000000000000000000000000000
χ5744-4-44400-4-4-4-4440400000-44-4000000000000000000000000000000000000−2i22i200000000000000−2i22i2000000000000
χ5844-4-44400-4-4-4-4440400000-44-40000000000000000000000000000000000002i2−2i2000000000000002i2−2i2000000000000
χ5944-4-4-24002-4-42-240-2000002-220023−232323−23−230000000000000000000000000000−2i22i200000000000000i2−i2i6−i60000000000
χ6044-4-4-24002-4-42-240-2000002-220023−232323−23−2300000000000000000000000000002i2−2i200000000000000−i2i2−i6i60000000000
χ6144-4-4-24002-4-42-240-2000002-2200−2323−23−2323230000000000000000000000000000−2i22i200000000000000i2−i2−i6i60000000000
χ6244-4-4-24002-4-42-240-2000002-2200−2323−23−23232300000000000000000000000000002i2−2i200000000000000−i2i2i6−i60000000000
χ634-44-44-24-4-4-224-420-20004i−4i-22200000000-224-400004i−4i−2i2i0000-220000−2i−2i2i2i00000000000000000000000000000000
χ644-44-44-24-4-4-224-420-2000−4i4i-22200000000-224-40000−4i4i2i−2i0000-2200002i2i−2i−2i00000000000000000000000000000000
χ654-44-44-2-44-4-224-420-24i−4i000-222000000002-2-44000000004i−4i−2i2i2-2−2i−2i2i2i000000000000000000000000000000000000
χ664-44-44-2-44-4-224-420-2−4i4i000-222000000002-2-4400000000−4i4i2i−2i2-22i2i−2i−2i000000000000000000000000000000000000
χ674-44-4-244-424-4-22-40-20004i−4i-222000000004-4-220000−2i2i4i−4i0000-220000−2i−2i2i2i00000000000000000000000000000000
χ684-44-4-244-424-4-22-40-2000−4i4i-222000000004-4-2200002i−2i−4i4i0000-2200002i2i−2i−2i00000000000000000000000000000000
χ694-44-4-24-4424-4-22-40-24i−4i000-22200000000-442-200000000−2i2i4i−4i2-2−2i−2i2i2i000000000000000000000000000000000000
χ704-44-4-24-4424-4-22-40-2−4i4i000-22200000000-442-2000000002i−2i−4i4i2-22i2i−2i−2i000000000000000000000000000000000000
χ714-44-4-2-24-42-22-222010004i−4i1-1-100003-33-3-22-22003-3−2i2i−2i2i00001-13i−3i−3i3iii−i−i00000000000000000000000000000000
χ724-44-4-2-24-42-22-222010004i−4i1-1-10000-33-33-22-2200-33−2i2i−2i2i00001-1−3i3i3i−3iii−i−i00000000000000000000000000000000
χ734-44-4-2-24-42-22-22201000−4i4i1-1-100003-33-3-22-22003-32i−2i2i−2i00001-1−3i3i3i−3i−i−iii00000000000000000000000000000000
χ744-44-4-2-24-42-22-22201000−4i4i1-1-10000-33-33-22-2200-332i−2i2i−2i00001-13i−3i−3i3i−i−iii00000000000000000000000000000000
χ754-44-4-2-2-442-22-222014i−4i0001-1-100003-33-32-22-200-330000−2i2i−2i2i-11ii−i−i−3i3i3i−3i00000000000000000000000000000000
χ764-44-4-2-2-442-22-222014i−4i0001-1-10000-33-332-22-2003-30000−2i2i−2i2i-11ii−i−i3i−3i−3i3i00000000000000000000000000000000
χ774-44-4-2-2-442-22-22201−4i4i0001-1-100003-33-32-22-200-3300002i−2i2i−2i-11−i−iii3i−3i−3i3i00000000000000000000000000000000
χ784-44-4-2-2-442-22-22201−4i4i0001-1-10000-33-332-22-2003-300002i−2i2i−2i-11−i−iii−3i3i3i−3i00000000000000000000000000000000
χ794-4-4444004-44-4-4-40400000-4-440000000000000000000000000000000000−2i22i2000000000000−2i22i20000000000000000
χ804-4-4444004-44-4-4-40400000-4-4400000000000000000000000000000000002i2−2i20000000000002i2−2i20000000000000000
χ814-4-444-20042-2-4-420-20000022-223−230023−23−232300000000000000000000000000−2i22i2000000000000i2−i2i6−i600000000000000
χ824-4-444-20042-2-4-420-20000022-223−230023−23−2323000000000000000000000000002i2−2i2000000000000−i2i2−i6i600000000000000
χ834-4-444-20042-2-4-420-20000022-2−232300−232323−2300000000000000000000000000−2i22i2000000000000i2−i2−i6i600000000000000
χ844-4-444-20042-2-4-420-20000022-2−232300−232323−23000000000000000000000000002i2−2i2000000000000−i2i2i6−i600000000000000
χ8588-8-88-400-844-88-40-4000004-44000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004444-4-40200000-22-20043−43−23−2323230000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-4004444-4-40200000-22-200−43432323−23−230000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800-4-8844-80-40000044-4000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400-44-44440200000-2-2243−4300−232323−230000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-400-44-44440200000-2-22−43430023−23−23230000000000000000000000000000000000000000000000000000000000

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