Finite Group Databasebeta

← Group #11872769

Character table — Group #11872769

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121218181818242424242424242424242424242436363636363648484848
order1222334466666623444446661212121212121212121212126666121212121212121212121212121212121212888844442244882424242424242424222244661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-11-11-11111-1-1-1-1-1-1-1-1-1-11-11-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-11-11-11-1-1-1-11111-1-1-1-1-1-1-11-11
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ511111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ611111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-111-11111-1-1-1-11111-1-1-11-11
χ711111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-11-1-1-1-111111111-1-11-11-1
χ811111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ911111111111111-11-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1111111111-1-11-1-111-1-111-1-111-1-1-1-11-1-11
χ1011111111111111-11-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-111-1-1111111-1-1
χ1111111111111111-11-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-11111-1-111
χ1211111111111111-11-111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-111-111-1-111-1-11111-1-1-1-1-111-1
χ1311111111111111-11-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-111-1-1-111-1-111-1-1-1-111-1-1-111-1
χ1411111111111111-11-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1111-1-1-1-11111-1-111-1-111
χ1511111111111111-11-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11-1-1-11111-1-111-1-11111-1-1
χ1611111111111111-11-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-1-1111-1-111-1-111-1-111-1-11-1-11
χ17222222-2-222222222-20000222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-200000000000022-2-20000000000000000002-20000
χ18222222-2-222222222-20000222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-2000000000000-2-222000000000000000000-220000
χ19222222-2-2222222-222000022222222222-2-2-2-2-2-2-2-200000000-2-200000000000022-2-2000000000000000000-220000
χ20222222-2-2222222-222000022222222222-2-2-2-2-2-2-2-200000000-2-2000000000000-2-2220000000000000000002-20000
χ2122222-12222-1-12-12-122222-1-1-122-1-1-1-1-1-122-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1002200000202020000-1-1-1-10000000-10-1
χ2222222-12222-1-12-12-122222-1-1-122-1-1-1-1-1-122-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-100-2-200000-20-20-2000011110000000101
χ2322222-12222-1-12-12-12-2-2-2-2-1-1-122-1-1-1-1-1-122-1-12-1-1-1-2-21111-2-2-1-111111111002200000-20-2020000-1-1-1-10000000101
χ2422222-12222-1-12-12-12-2-2-2-2-1-1-122-1-1-1-1-1-122-1-12-1-1-1-2-21111-2-2-1-11111111100-2-2000002020-2000011110000000-10-1
χ2522222-12222-1-12-1-2-1-222-2-2-1-1-1-2-211111122-1-1-21112211-1-1-2-2-1-1-1-1-1-11111002200000-2020-20000-1-111000000010-1
χ2622222-12222-1-12-1-2-1-222-2-2-1-1-1-2-211111122-1-1-21112211-1-1-2-2-1-1-1-1-1-1111100-2-20000020-202000011-1-10000000-101
χ2722222-12222-1-12-1-2-1-2-2-222-1-1-1-2-211111122-1-1-2111-2-2-1-11122-1-11111-1-1-1-100220000020-20-20000-1-1110000000-101
χ2822222-12222-1-12-1-2-1-2-2-222-1-1-1-2-211111122-1-1-2111-2-2-1-11122-1-11111-1-1-1-100-2-200000-20202000011-1-1000000010-1
χ292222-1222-1-122-122-122222-1-1-1-1-122-1-1-1-1-1-122-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000000202020-1-1-1-10000000000-10-10
χ302222-1222-1-122-122-122222-1-1-1-1-122-1-1-1-1-1-122-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-20-20-20111100000000001010
χ312222-1222-1-122-122-12-2-2-2-2-1-1-1-1-122-1-1-1-1-1-122-12-1-111-2-2-2-211-1-11111111122000000-20-2020-1-1-1-100000000001010
χ322222-1222-1-122-122-12-2-2-2-2-1-1-1-1-122-1-1-1-1-1-122-12-1-111-2-2-2-211-1-111111111-2-20000002020-2011110000000000-10-10
χ332222-1222-1-122-12-2-1-222-2-2-1-1-111-2-21111-1-1221-211-1-1-2-22211-1-1-1-1-1-111112200000020-20-20-1-1110000000000-1010
χ342222-1222-1-122-12-2-1-222-2-2-1-1-111-2-21111-1-1221-211-1-1-2-22211-1-1-1-1-1-11111-2-2000000-20202011-1-1000000000010-10
χ352222-1222-1-122-12-2-1-2-2-222-1-1-111-2-21111-1-1221-2111122-2-2-1-1-1-11111-1-1-1-122000000-2020-20-1-111000000000010-10
χ362222-1222-1-122-12-2-1-2-2-222-1-1-111-2-21111-1-1221-2111122-2-2-1-1-1-11111-1-1-1-1-2-200000020-202011-1-10000000000-1010
χ3722-2-2222-22-22-2-2-2020002i−2i2-2-2000000002-22-20000002i−2i002i−2i2-200002i2i−2i−2i00002i−2i2i−2i00000000000000002-2000000
χ3822-2-2222-22-22-2-2-2020002i−2i2-2-2000000002-22-20000002i−2i002i−2i2-200002i2i−2i−2i0000−2i2i−2i2i0000000000000000-22000000
χ3922-2-2222-22-22-2-2-202000−2i2i2-2-2000000002-22-2000000−2i2i00−2i2i2-20000−2i−2i2i2i00002i−2i2i−2i0000000000000000-22000000
χ4022-2-2222-22-22-2-2-202000−2i2i2-2-2000000002-22-2000000−2i2i00−2i2i2-20000−2i−2i2i2i0000−2i2i−2i2i00000000000000002-2000000
χ4122-2-222-222-22-2-2-20202i−2i002-2-200000000-22-2200002i−2i002i−2i00-222i2i−2i−2i000000002i−2i−2i2i000000000000002-200000000
χ4222-2-222-222-22-2-2-20202i−2i002-2-200000000-22-2200002i−2i002i−2i00-222i2i−2i−2i00000000−2i2i2i−2i00000000000000-2200000000
χ4322-2-222-222-22-2-2-2020−2i2i002-2-200000000-22-220000−2i2i00−2i2i00-22−2i−2i2i2i000000002i−2i−2i2i00000000000000-2200000000
χ4422-2-222-222-22-2-2-2020−2i2i002-2-200000000-22-220000−2i2i00−2i2i00-22−2i−2i2i2i00000000−2i2i2i−2i000000000000002-200000000
χ4544444-2-4-444-2-24-24-2-40000-2-2-2-4-4222222-4-4224-2-2-200000000220000000000000000000000000000000000000000
χ4644444-2-4-444-2-24-2-4-240000-2-2-244-2-2-2-2-2-2-4-422-422200000000220000000000000000000000000000000000000000
χ474444-24-4-4-2-244-244-2-40000-2-2-222-4-4222222-4-4-24-2-200000000220000000000000000000000000000000000000000
χ484444-24-4-4-2-244-24-4-240000-2-2-2-2-244-2-2-2-222-4-42-42200000000220000000000000000000000000000000000000000
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
χ504444-2-244-2-2-2-2-2-2414-4-4-4-4111-2-2-2-21111-2-2-2-2-2-2112222222211-1-1-1-1-1-1-1-100000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-41-444-4-41112222-1-1-1-1-2-2-2-222-1-1-2-222-2-222111111-1-1-1-100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-41-4-4-4441112222-1-1-1-1-2-2-2-222-1-122-2-222-2-211-1-1-1-1111100000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-241-400001112222-1-1-1-12222-2-21100000000-1-13-33-33-33-300000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-241-400001112222-1-1-1-12222-2-21100000000-1-1-33-33-33-3300000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2-4140000111-2-2-2-21111222222-1-100000000-1-13-33-3-33-3300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2-4140000111-2-2-2-21111222222-1-100000000-1-1-33-333-33-300000000000000000000000000000000
χ5744-4-44-24-44-4-22-420-20004i−4i-222000000004-4-22000000−2i2i004i−4i-220000−2i−2i2i2i00000000000000000000000000000000
χ5844-4-44-24-44-4-22-420-2000−4i4i-222000000004-4-220000002i−2i00−4i4i-2200002i2i−2i−2i00000000000000000000000000000000
χ5944-4-44-2-444-4-22-420-204i−4i00-22200000000-442-200004i−4i00−2i2i002-2−2i−2i2i2i000000000000000000000000000000000000
χ6044-4-44-2-444-4-22-420-20−4i4i00-22200000000-442-20000−4i4i002i−2i002-22i2i−2i−2i000000000000000000000000000000000000
χ6144-4-4-244-4-224-42-40-20004i−4i-22200000000-224-40000004i−4i00−2i2i-220000−2i−2i2i2i00000000000000000000000000000000
χ6244-4-4-244-4-224-42-40-2000−4i4i-22200000000-224-4000000−4i4i002i−2i-2200002i2i−2i−2i00000000000000000000000000000000
χ6344-4-4-24-44-224-42-40-204i−4i00-222000000002-2-440000−2i2i004i−4i002-2−2i−2i2i2i000000000000000000000000000000000000
χ6444-4-4-24-44-224-42-40-20−4i4i00-222000000002-2-4400002i−2i00−4i4i002-22i2i−2i−2i000000000000000000000000000000000000
χ6544-4-4-2-24-4-22-2222010004i−4i1-1-1000033-3-3-22-22003-300−2i2i00−2i2i1-13i−3i−3i3iii−i−i00000000000000000000000000000000
χ6644-4-4-2-24-4-22-2222010004i−4i1-1-10000-3-333-22-2200-3300−2i2i00−2i2i1-1−3i3i3i−3iii−i−i00000000000000000000000000000000
χ6744-4-4-2-24-4-22-222201000−4i4i1-1-1000033-3-3-22-22003-3002i−2i002i−2i1-1−3i3i3i−3i−i−iii00000000000000000000000000000000
χ6844-4-4-2-24-4-22-222201000−4i4i1-1-10000-3-333-22-2200-33002i−2i002i−2i1-13i−3i−3i3i−i−iii00000000000000000000000000000000
χ6944-4-4-2-2-44-22-22220104i−4i001-1-1000033-3-32-22-200-33−2i2i00−2i2i00-11ii−i−i−3i3i3i−3i00000000000000000000000000000000
χ7044-4-4-2-2-44-22-22220104i−4i001-1-10000-3-3332-22-2003-3−2i2i00−2i2i00-11ii−i−i3i−3i−3i3i00000000000000000000000000000000
χ7144-4-4-2-2-44-22-2222010−4i4i001-1-1000033-3-32-22-200-332i−2i002i−2i00-11−i−iii3i−3i−3i3i00000000000000000000000000000000
χ7244-4-4-2-2-44-22-2222010−4i4i001-1-10000-3-3332-22-2003-32i−2i002i−2i00-11−i−iii−3i3i3i−3i00000000000000000000000000000000
χ734-44-44400-44-4-4-440400000-44-4000000000000000000000000000000000022−2200000000000022−220000000000000000
χ744-44-44400-44-4-4-440400000-44-40000000000000000000000000000000000−2222000000000000−22220000000000000000
χ754-44-4-24002-2-4-4240-2000002-2223−230023−2323−230000000000000000000000000022−22000000000000−226−600000000000000
χ764-44-4-24002-2-4-4240-2000002-2223−230023−2323−2300000000000000000000000000−22220000000000002−2−6600000000000000
χ774-44-4-24002-2-4-4240-2000002-22−232300−2323−23230000000000000000000000000022−22000000000000−22−6600000000000000
χ784-44-4-24002-2-4-4240-2000002-22−232300−2323−232300000000000000000000000000−22220000000000002−26−600000000000000
χ794-4-444400-4-4-444-40400000-4-4400000000000000000000000000000000000022−220000000000000022−22000000000000
χ804-4-444400-4-4-444-40400000-4-44000000000000000000000000000000000000−222200000000000000−2222000000000000
χ814-4-444-200-4-42-2420-20000022-20023−2323−23−2323000000000000000000000000000022−2200000000000000−226−60000000000
χ824-4-444-200-4-42-2420-20000022-20023−2323−23−23230000000000000000000000000000−2222000000000000002−2−660000000000
χ834-4-444-200-4-42-2420-20000022-200−2323−232323−23000000000000000000000000000022−2200000000000000−22−660000000000
χ844-4-444-200-4-42-2420-20000022-200−2323−232323−230000000000000000000000000000−2222000000000000002−26−60000000000
χ858-88-88-400-8844-8-40-4000004-44000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-4004-4444-40200000-22-243−4300−2323−23230000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-4004-4444-40200000-22-2−43430023−2323−230000000000000000000000000000000000000000000000000000000000
χ888-8-88-480044-88-4-80-40000044-4000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400444-4-440200000-2-220043−43−232323−230000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-400444-4-440200000-2-2200−434323−23−23230000000000000000000000000000000000000000000000000000000000

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