Finite Group Databasebeta

← Group #11872928

Character table — Group #11872928

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121218181818242424242424242424242424242436363636363648484848
order122233446666662223444666121212121212121212121212666666666666121212121212121212128888444424448824242424242424244444446121212
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
χ51111111111111111-11-1-1-1111-1-1-1-1-1-1-1-1111111-111-11111-1-1-1-1-1-111-1-1-1-1111111111-1-11-1-111-1-111-1-1-111-1-1-11-11-1
χ61111111111111111-11-1-1-1111-1-1-1-1-1-1-1-1111111-111-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-1111-1-11111-1-11
χ71111111111111111-11-1-1-1111-1-1-1-1-1-1-1-1111111-111-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-11-1-1111-111-1
χ81111111111111111-11-1-1-1111-1-1-1-1-1-1-1-1111111-111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-111-1-111-1-111-111-1-1-1-11-11
χ911111111111111-1-1111-1-1111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111111111111-1-11-1-1-1-1-1-1
χ1011111111111111-1-1111-1-1111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11-111-11111-1-1-1-1-111-111-1-111
χ1111111111111111-1-1111-1-1111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11-11-1-11-1-1-1-11111-111-11111-1-1
χ1211111111111111-1-1111-1-1111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111
χ1311111111111111-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-111-1-1-111-1-111-1-1-1-1-1-111-11-11
χ1411111111111111-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1111-1-1-1-1111111-1-1-111-1
χ1511111111111111-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-11-1-1-11111-1-11111-1-11-1-11
χ1611111111111111-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1111-1-111-1-111-1-1-1-1111-11-1
χ17222222-2-22222220022-200222-2-2-2-2-2-2-2-2-2-2-2-20020020000220000-2-20000000022-2-200000000000000-2002000000
χ18222222-2-22222220022-200222-2-2-2-2-2-2-2-2-2-2-2-20020020000220000-2-200000000-2-22200000000000000200-2000000
χ19222222-2-222222200-2220022222222222-2-2-2-200-200-20000-2-20000-2-20000000022-2-200000000000000200-2000000
χ20222222-2-222222200-2220022222222222-2-2-2-200-200-20000-2-20000-2-200000000-2-22200000000000000-2002000000
χ2122222-1222-1-12-12222-1222-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122000000202020-1-1-1-10000000000-1-100
χ2222222-1222-1-12-12222-1222-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2000000-20-20-20111100000000001100
χ2322222-1222-1-12-1222-2-1-2-2-2-1-1-111-2-21111-1-12222-2-1-11-1-1-1-11111-2-2-1-111112200000020-20-20-1-1110000000000-1100
χ2422222-1222-1-12-1222-2-1-2-2-2-1-1-111-2-21111-1-12222-2-1-11-1-1-1-11111-2-2-1-11111-2-2000000-20202011-1-100000000001-100
χ2522222-1222-1-12-12-2-22-12-2-2-1-1-1-1-122-1-1-1-1-1-122-2-2211-11111-1-111-2-2-1-1111122000000-20-2020-1-1-1-100000000001100
χ2622222-1222-1-12-12-2-22-12-2-2-1-1-1-1-122-1-1-1-1-1-122-2-2211-11111-1-111-2-2-1-11111-2-20000002020-2011110000000000-1-100
χ2722222-1222-1-12-12-2-2-2-1-222-1-1-111-2-21111-1-122-2-2-2111111111-1-122-1-1-1-1-1-122000000-2020-20-1-11100000000001-100
χ2822222-1222-1-12-12-2-2-2-1-222-1-1-111-2-21111-1-122-2-2-2111111111-1-122-1-1-1-1-1-1-2-200000020-202011-1-10000000000-1100
χ292222-1222-122-12-1222-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-1002200000202020000-1-1-1-100000000-1-1
χ302222-1222-122-12-1222-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200000-20-20-2000011110000000011
χ312222-1222-122-12-122-2-1-2-2-2-1-1-1-2-211111122-1-1-1-1122-2-1-1-1-111-2-211-1-11111002200000-2020-20000-1-11100000000-11
χ322222-1222-122-12-122-2-1-2-2-2-1-1-1-2-211111122-1-1-1-1122-2-1-1-1-111-2-211-1-1111100-2-20000020-202000011-1-1000000001-1
χ332222-1222-122-12-1-2-22-12-2-2-1-1-122-1-1-1-1-1-122-1-111-1-2-221111-1-1-2-211-1-11111002200000-20-2020000-1-1-1-10000000011
χ342222-1222-122-12-1-2-22-12-2-2-1-1-122-1-1-1-1-1-122-1-111-1-2-221111-1-1-2-211-1-1111100-2-2000002020-20000111100000000-1-1
χ352222-1222-122-12-1-2-2-2-1-222-1-1-1-2-211111122-1-1111-2-2-211111122-1-1-1-1-1-1-1-100220000020-20-20000-1-111000000001-1
χ362222-1222-122-12-1-2-2-2-1-222-1-1-1-2-211111122-1-1111-2-2-211111122-1-1-1-1-1-1-1-100-2-200000-20202000011-1-100000000-11
χ3722-2-2222-2-2-22-2-22000202-2-2-22000000002-22-20000000000002-22-22-222-2-200002i−2i2i−2i0000000000000000002i−2i0000
χ3822-2-2222-2-2-22-2-22000202-2-2-22000000002-22-20000000000002-22-22-222-2-20000−2i2i−2i2i000000000000000000−2i2i0000
χ3922-2-2222-2-2-22-2-2200020-22-2-22000000002-22-2000000000000-22-222-2-2-22200002i−2i2i−2i000000000000000000−2i2i0000
χ4022-2-2222-2-2-22-2-2200020-22-2-22000000002-22-2000000000000-22-222-2-2-2220000−2i2i−2i2i0000000000000000002i−2i0000
χ4122-2-222-22-2-22-2-222-202000-2-2200000000-22-222-202-2022-2-2000000-22000000002i−2i−2i2i0000000000000002i−2i0000000
χ4222-2-222-22-2-22-2-222-202000-2-2200000000-22-222-202-2022-2-2000000-2200000000−2i2i2i−2i000000000000000−2i2i0000000
χ4322-2-222-22-2-22-2-22-2202000-2-2200000000-22-22-220-220-2-222000000-22000000002i−2i−2i2i000000000000000−2i2i0000000
χ4422-2-222-22-2-22-2-22-2202000-2-2200000000-22-22-220-220-2-222000000-2200000000−2i2i2i−2i0000000000000002i−2i0000000
χ4544444-2-4-44-2-24-24004-2-400-2-2-222-4-4222222-4-400400-20000-2-2000022000000000000000000000000000000000000
χ4644444-2-4-44-2-24-2400-4-2400-2-2-2-2-244-2-2-2-222-4-400-4002000022000022000000000000000000000000000000000000
χ474444-24-4-4-244-24-2004-2-400-2-2-2-4-4222222-4-42200-20040000-2-2000022000000000000000000000000000000000000
χ484444-24-4-4-244-24-200-4-2400-2-2-244-2-2-2-2-2-2-4-42200200-4000022000022000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-24441444111-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-244-41-4-4-41112222-1-1-1-1-2-2-2-2-2-22-2-221111-1-1222211-1-1-1-100000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-4414-4-4111-2-2-2-21111-2-2-2-222-222-2-1-1-1-111222211-1-1-1-100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-4-41-4441112222-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-20041-4001112222-1-1-1-1222200-200-23-33-3110000-1-13-33-300000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-20041-4001112222-1-1-1-1222200-200-2-33-33110000-1-1-33-3300000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-200-41400111-2-2-2-2111122220020023-33-3-1-10000-1-1-33-3300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-200-41400111-2-2-2-211112222002002-33-33-1-10000-1-13-33-300000000000000000000000000000000
χ5744-4-44-24-4-42-2-424000-204-422-200000000-224-4000000000000-224-4-22-2-22200000000000000000000000000000000
χ5844-4-44-24-4-42-2-424000-20-4422-200000000-224-40000000000002-2-44-2222-2-200000000000000000000000000000000
χ5944-4-44-2-44-42-2-4244-40-200022-2000000002-2-444-40-220-2-2220000002-2000000000000000000000000000000000000
χ6044-4-44-2-44-42-2-424-440-200022-2000000002-2-44-4402-2022-2-20000002-2000000000000000000000000000000000000
χ6144-4-4-244-42-442-4-2000-204-422-2000000004-4-220000000000004-4-22-22-2-22200000000000000000000000000000000
χ6244-4-4-244-42-442-4-2000-20-4422-2000000004-4-22000000000000-442-2-2222-2-200000000000000000000000000000000
χ6344-4-4-24-442-442-4-24-40-200022-200000000-442-2-2204-40-2-2220000002-2000000000000000000000000000000000000
χ6444-4-4-24-442-442-4-2-440-200022-200000000-442-22-20-44022-2-20000002-2000000000000000000000000000000000000
χ6544-4-4-2-24-422-222-2000104-4-1-11000033-3-3-22-220000003-3-333-3-22-221-111-1-100000000000000000000000000000000
χ6644-4-4-2-24-422-222-2000104-4-1-110000-3-333-22-22000000-333-3-33-22-221-111-1-100000000000000000000000000000000
χ6744-4-4-2-24-422-222-200010-44-1-11000033-3-3-22-22000000-333-33-32-22-21-1-1-11100000000000000000000000000000000
χ6844-4-4-2-24-422-222-200010-44-1-110000-3-333-22-220000003-3-33-332-22-21-1-1-11100000000000000000000000000000000
χ6944-4-4-2-2-4422-222-24-401000-1-11000033-3-32-22-2-220-22011-1-1-330000-11-333-300000000000000000000000000000000
χ7044-4-4-2-2-4422-222-24-401000-1-110000-3-3332-22-2-220-22011-1-13-30000-113-3-3300000000000000000000000000000000
χ7144-4-4-2-2-4422-222-2-4401000-1-11000033-3-32-22-22-202-20-1-111-330000-113-3-3300000000000000000000000000000000
χ7244-4-4-2-2-4422-222-2-4401000-1-110000-3-3332-22-22-202-20-1-1113-30000-11-333-300000000000000000000000000000000
χ734-44-4440044-4-4-4-400040004-4-4000000000000000000000000000000000022−2200000000000022−220000000000000000
χ744-44-4440044-4-4-4-400040004-4-40000000000000000000000000000000000−2222000000000000−22220000000000000000
χ754-44-44-2004-22-42-4000-2000-22223−230023−2323−230000000000000000000000000022−22000000000000−226−600000000000000
χ764-44-44-2004-22-42-4000-2000-22223−230023−2323−2300000000000000000000000000−22220000000000002−2−6600000000000000
χ774-44-44-2004-22-42-4000-2000-222−232300−2323−23230000000000000000000000000022−22000000000000−22−6600000000000000
χ784-44-44-2004-22-42-4000-2000-222−232300−2323−232300000000000000000000000000−22220000000000002−26−600000000000000
χ794-4-444400-4-4-444-40004000-44-400000000000000000000000000000000000022−220000000000000022−22000000000000
χ804-4-444400-4-4-444-40004000-44-4000000000000000000000000000000000000−222200000000000000−2222000000000000
χ814-4-44-24002-4-4-242000-20002-220023−2323−23−2323000000000000000000000000000022−2200000000000000−226−60000000000
χ824-4-44-24002-4-4-242000-20002-220023−2323−23−23230000000000000000000000000000−2222000000000000002−2−660000000000
χ834-4-44-24002-4-4-242000-20002-2200−2323−232323−23000000000000000000000000000022−2200000000000000−22−660000000000
χ844-4-44-24002-4-4-242000-20002-2200−2323−232323−230000000000000000000000000000−2222000000000000002−26−60000000000
χ858-88-8-4800-48-84-84000-4000-444000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-400-4-4444400020002-2-243−4300−2323−23230000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400-4-4444400020002-2-2−43430023−2323−230000000000000000000000000000000000000000000000000000000000
χ888-8-888-400-8448-4-8000-40004-44000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400444-4-440002000-22-20043−43−232323−230000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-400444-4-440002000-22-200−434323−23−23230000000000000000000000000000000000000000000000000000000000

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