Finite Group Databasebeta

← Group #11808534

Character table — Group #11808534

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111144444444488889999121212121212121224242424242424243636363636111144444444488889999121212121212121224242424242424243636363636
order122233466666612121212222244444444121212121212121244444222266466666612121212222244444444121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1
χ3111111111111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-1111111-1111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-1
χ6111111-1111111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-111111111-1111111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-111
χ7111111-1111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-111111111-1111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-111
χ8111111-1111111-1-1-1-11111-1-1-1-11111-1-111-1-111-111-1-1111111-1111111-1-1-1-11111-1-1-1-11111-1-111-1-111-111-1-1
χ922222222222222222-2-2-2-20000000000000000-2000022222222222222222-2-2-2-20000000000000000-20000
χ10222222-2222222-2-2-2-2-2-2-2-2000000000000000020000222222-2222222-2-2-2-2-2-2-2-2000000000000000020000
χ1122-2-22202-2-22-2-2000022-2-22-20000002-20000000000022-2-22202-2-22-2-2000022-2-22-20000002-200000000000
χ1222-2-22202-2-22-2-2000022-2-2-22000000-220000000000022-2-22202-2-22-2-2000022-2-2-22000000-2200000000000
χ1322-2-22202-2-22-2-20000-2-2220000002i−2i002i−2i00000000022-2-22202-2-22-2-20000-2-2220000002i−2i002i−2i000000000
χ1422-2-22202-2-22-2-20000-2-222000000−2i2i00−2i2i00000000022-2-22202-2-22-2-20000-2-222000000−2i2i00−2i2i000000000
χ152-22-2220-22-2-2-2200002-22-200000000000000000002i−2i2-22-2220-22-2-2-2200002-22-200000000000000000002i−2i
χ162-22-2220-22-2-2-2200002-22-20000000000000000000−2i2i2-22-2220-22-2-2-2200002-22-20000000000000000000−2i2i
χ172-22-2220-22-2-2-220000-22-22000000000000000002i−2i002-22-2220-22-2-2-220000-22-22000000000000000002i−2i00
χ182-22-2220-22-2-2-220000-22-2200000000000000000−2i2i002-22-2220-22-2-2-220000-22-2200000000000000000−2i2i00
χ192-2-22220-2-22-22-200002-2-2200002i−2i000000002i−2i000002-2-22220-2-22-22-200002-2-2200002i−2i000000002i−2i00000
χ202-2-22220-2-22-22-200002-2-220000−2i2i00000000−2i2i000002-2-22220-2-22-22-200002-2-220000−2i2i00000000−2i2i00000
χ212-2-22220-2-22-22-20000-222-2002i−2i000000002i−2i00000002-2-22220-2-22-22-20000-222-2002i−2i000000002i−2i0000000
χ222-2-22220-2-22-22-20000-222-200−2i2i00000000−2i2i00000002-2-22220-2-22-22-20000-222-200−2i2i00000000−2i2i0000000
χ2344441-241-21-2-2111-2-20000002222000000-1-1-1-10000044441-241-21-2-2111-2-20000002222000000-1-1-1-100000
χ2444441-241-21-2-2111-2-2000000-2-2-2-200000011110000044441-241-21-2-2111-2-2000000-2-2-2-2000000111100000
χ2544441-2-41-21-2-21-1-12200000022-2-2000000-1-1110000044441-2-41-21-2-21-1-12200000022-2-2000000-1-11100000
χ2644441-2-41-21-2-21-1-122000000-2-22200000011-1-10000044441-2-41-21-2-21-1-122000000-2-22200000011-1-100000
χ274444-214-21-211-2-2-211000022000022-1-1-1-10000000004444-214-21-211-2-2-211000022000022-1-1-1-1000000000
χ284444-214-21-211-2-2-2110000-2-20000-2-211110000000004444-214-21-211-2-2-2110000-2-20000-2-21111000000000
χ294444-21-4-21-211-222-1-10000220000-2-2-1-1110000000004444-21-4-21-211-222-1-10000220000-2-2-1-111000000000
χ304444-21-4-21-211-222-1-10000-2-200002211-1-10000000004444-21-4-21-211-222-1-10000-2-200002211-1-1000000000
χ3144-4-4-210-2-121-12003i−3i00002-200002i−2i-11−ii00000000044-4-4-210-2-121-12003i−3i00002-200002i−2i-11−ii000000000
χ3244-4-4-210-2-121-12003i−3i0000-220000−2i2i1-1i−i00000000044-4-4-210-2-121-12003i−3i0000-220000−2i2i1-1i−i000000000
χ3344-4-4-210-2-121-1200−3i3i00002-20000−2i2i-11i−i00000000044-4-4-210-2-121-1200−3i3i00002-20000−2i2i-11i−i000000000
χ3444-4-4-210-2-121-1200−3i3i0000-2200002i−2i1-1−ii00000000044-4-4-210-2-121-1200−3i3i0000-2200002i−2i1-1−ii000000000
χ354-4-441-20-1212-2-13-3000000002i−2i2i−2i000000−ii−ii000004-4-441-20-1212-2-13-3000000002i−2i2i−2i000000−ii−ii00000
χ364-4-441-20-1212-2-13-300000000−2i2i−2i2i000000i−ii−i000004-4-441-20-1212-2-13-300000000−2i2i−2i2i000000i−ii−i00000
χ374-4-441-20-1212-2-1-33000000002i−2i−2i2i000000−iii−i000004-4-441-20-1212-2-1-33000000002i−2i−2i2i000000−iii−i00000
χ384-4-441-20-1212-2-1-3300000000−2i2i2i−2i000000i−i−ii000004-4-441-20-1212-2-1-3300000000−2i2i2i−2i000000i−i−ii00000
χ3988-8-82-4024-2-44-20000000000000000000000000000088-8-82-4024-2-44-200000000000000000000000000000
χ408-88-82-40-2-4-2442000000000000000000000000000008-88-82-40-2-4-244200000000000000000000000000000
χ418-88-8-420424-2-2-4000000000000000000000000000008-88-8-420424-2-2-400000000000000000000000000000
χ428-8-88-4204-2-4-224000000000000000000000000000008-8-88-4204-2-4-22400000000000000000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4411111111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11111
χ45111111111111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11111
χ46111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1
χ47111111-1111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-111
χ48111111-1111111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1111-1-1
χ49111111-1111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111111-1-1
χ50111111-1111111-1-1-1-11111-1-1-1-11111-1-111-1-111-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1-111
χ5122222222222222222-2-2-2-20000000000000000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000020000
χ52222222-2222222-2-2-2-2-2-2-2-2000000000000000020000-2-2-2-2-2-22-2-2-2-2-2-2222222220000000000000000-20000
χ5322-2-22202-2-22-2-2000022-2-22-20000002-200000000000-2-222-2-20-222-2220000-2-222-22000000-2200000000000
χ5422-2-22202-2-22-2-2000022-2-2-22000000-2200000000000-2-222-2-20-222-2220000-2-2222-20000002-200000000000
χ5522-2-22202-2-22-2-20000-2-2220000002i−2i002i−2i000000000-2-222-2-20-222-222000022-2-2000000−2i2i00−2i2i000000000
χ5622-2-22202-2-22-2-20000-2-222000000−2i2i00−2i2i000000000-2-222-2-20-222-222000022-2-20000002i−2i002i−2i000000000
χ572-22-2220-22-2-2-2200002-22-200000000000000000002i−2i-22-22-2-202-2222-20000-22-220000000000000000000−2i2i
χ582-22-2220-22-2-2-2200002-22-20000000000000000000−2i2i-22-22-2-202-2222-20000-22-2200000000000000000002i−2i
χ592-22-2220-22-2-2-220000-22-22000000000000000002i−2i00-22-22-2-202-2222-200002-22-200000000000000000−2i2i00
χ602-22-2220-22-2-2-220000-22-2200000000000000000−2i2i00-22-22-2-202-2222-200002-22-2000000000000000002i−2i00
χ612-2-22220-2-22-22-200002-2-2200002i−2i000000002i−2i00000-222-2-2-2022-22-220000-222-20000−2i2i00000000−2i2i00000
χ622-2-22220-2-22-22-200002-2-220000−2i2i00000000−2i2i00000-222-2-2-2022-22-220000-222-200002i−2i000000002i−2i00000
χ632-2-22220-2-22-22-20000-222-2002i−2i000000002i−2i0000000-222-2-2-2022-22-2200002-2-2200−2i2i00000000−2i2i0000000
χ642-2-22220-2-22-22-20000-222-200−2i2i00000000−2i2i0000000-222-2-2-2022-22-2200002-2-22002i−2i000000002i−2i0000000
χ6544441-241-21-2-2111-2-20000002222000000-1-1-1-100000-4-4-4-4-12-4-12-122-1-1-122000000-2-2-2-2000000111100000
χ6644441-241-21-2-2111-2-2000000-2-2-2-2000000111100000-4-4-4-4-12-4-12-122-1-1-1220000002222000000-1-1-1-100000
χ6744441-2-41-21-2-21-1-12200000022-2-2000000-1-11100000-4-4-4-4-124-12-122-111-2-2000000-2-22200000011-1-100000
χ6844441-2-41-21-2-21-1-122000000-2-22200000011-1-100000-4-4-4-4-124-12-122-111-2-200000022-2-2000000-1-11100000
χ694444-214-21-211-2-2-211000022000022-1-1-1-1000000000-4-4-4-42-1-42-12-1-1222-1-10000-2-20000-2-21111000000000
χ704444-214-21-211-2-2-2110000-2-20000-2-21111000000000-4-4-4-42-1-42-12-1-1222-1-1000022000022-1-1-1-1000000000
χ714444-21-4-21-211-222-1-10000220000-2-2-1-111000000000-4-4-4-42-142-12-1-12-2-2110000-2-200002211-1-1000000000
χ724444-21-4-21-211-222-1-10000-2-200002211-1-1000000000-4-4-4-42-142-12-1-12-2-2110000220000-2-2-1-111000000000
χ7344-4-4-210-2-121-12003i−3i00002-200002i−2i-11−ii000000000-4-4442-1021-2-11-200−3i3i0000-220000−2i2i1-1i−i000000000
χ7444-4-4-210-2-121-12003i−3i0000-220000−2i2i1-1i−i000000000-4-4442-1021-2-11-200−3i3i00002-200002i−2i-11−ii000000000
χ7544-4-4-210-2-121-1200−3i3i00002-20000−2i2i-11i−i000000000-4-4442-1021-2-11-2003i−3i0000-2200002i−2i1-1−ii000000000
χ7644-4-4-210-2-121-1200−3i3i0000-2200002i−2i1-1−ii000000000-4-4442-1021-2-11-2003i−3i00002-20000−2i2i-11i−i000000000
χ774-4-441-20-1212-2-13-3000000002i−2i2i−2i000000−ii−ii00000-444-4-1201-2-1-221-3300000000−2i2i−2i2i000000i−ii−i00000
χ784-4-441-20-1212-2-13-300000000−2i2i−2i2i000000i−ii−i00000-444-4-1201-2-1-221-33000000002i−2i2i−2i000000−ii−ii00000
χ794-4-441-20-1212-2-1-33000000002i−2i−2i2i000000−iii−i00000-444-4-1201-2-1-2213-300000000−2i2i2i−2i000000i−i−ii00000
χ804-4-441-20-1212-2-1-3300000000−2i2i2i−2i000000i−i−ii00000-444-4-1201-2-1-2213-3000000002i−2i−2i2i000000−iii−i00000
χ8188-8-82-4024-2-44-200000000000000000000000000000-8-888-240-2-424-4200000000000000000000000000000
χ828-88-82-40-2-4-244200000000000000000000000000000-88-88-240242-4-4-200000000000000000000000000000
χ838-88-8-420424-2-2-400000000000000000000000000000-88-884-20-4-2-422400000000000000000000000000000
χ848-8-88-4204-2-4-22400000000000000000000000000000-888-84-20-4242-2-400000000000000000000000000000

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