Finite Group Databasebeta

← Group #11808322

Character table — Group #11808322

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111144444444488889999121212121212121224242424242424243636363636111144444444488889999121212121212121224242424242424243636363636
order1222233666666666622224444444412121212121212122444422222666666666666222244444444121212121212121224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-111-1-11111-1-1-1-11-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-11-1-1-1-1
χ3111111111111111111111-1-111-1-111-1-1-1-111111-1-1-1-1111111111111111111111-1-111-1-111-1-1-1-111111-1-1-1-1
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
χ51111-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-11111-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-1
χ61111-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1111111-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111
χ71111-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1111111-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111
χ81111-111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-111-1-11111-111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-111-1-1
χ922222222222222222-2-2-2-20000000000000000-2000022222222222222222-2-2-2-20000000000000000-20000
χ102222-222222222-2-2-2-2-2-2-2-20000000000000000200002222-222222222-2-2-2-2-2-2-2-2000000000000000020000
χ1122-2-20222-22-2-2-200002-22-20000002i−2i0000002i−2i0000022-2-20222-22-2-2-200002-22-20000002i−2i0000002i−2i00000
χ1222-2-20222-22-2-2-200002-22-2000000−2i2i000000−2i2i0000022-2-20222-22-2-2-200002-22-2000000−2i2i000000−2i2i00000
χ1322-2-20222-22-2-2-20000-22-22002i−2i000000002i−2i000000022-2-20222-22-2-2-20000-22-22002i−2i000000002i−2i0000000
χ1422-2-20222-22-2-2-20000-22-2200−2i2i00000000−2i2i000000022-2-20222-22-2-2-20000-22-2200−2i2i00000000−2i2i0000000
χ152-22-2022-22-22-2-200002-2-222i−2i0000002i−2i000000000002-22-2022-22-22-2-200002-2-222i−2i0000002i−2i00000000000
χ162-22-2022-22-22-2-200002-2-22−2i2i000000−2i2i000000000002-22-2022-22-22-2-200002-2-22−2i2i000000−2i2i00000000000
χ172-22-2022-22-22-2-20000-222-200002i−2i00002i−2i0000000002-22-2022-22-22-2-20000-222-200002i−2i00002i−2i000000000
χ182-22-2022-22-22-2-20000-222-20000−2i2i0000−2i2i0000000002-22-2022-22-22-2-20000-222-20000−2i2i0000−2i2i000000000
χ192-2-22022-2-2-2-222000022-2-200000000000000000002i−2i2-2-22022-2-2-2-222000022-2-200000000000000000002i−2i
χ202-2-22022-2-2-2-222000022-2-20000000000000000000−2i2i2-2-22022-2-2-2-222000022-2-20000000000000000000−2i2i
χ212-2-22022-2-2-2-2220000-2-222000000000000000002-2002-2-22022-2-2-2-2220000-2-222000000000000000002-200
χ222-2-22022-2-2-2-2220000-2-22200000000000000000-22002-2-22022-2-2-2-2220000-2-22200000000000000000-2200
χ23444441-21-2-211-211-2-20000002200220000-1-1-1-100000444441-21-2-211-211-2-20000002200220000-1-1-1-100000
χ24444441-21-2-211-211-2-2000000-2-200-2-20000111100000444441-21-2-211-211-2-2000000-2-200-2-20000111100000
χ2544444-21-211-2-21-2-211000022002200-1-1-1-100000000044444-21-211-2-21-2-211000022002200-1-1-1-1000000000
χ2644444-21-211-2-21-2-2110000-2-200-2-200111100000000044444-21-211-2-21-2-2110000-2-200-2-2001111000000000
χ274444-41-21-2-211-2-1-1220000002200-2-20000-1-111000004444-41-21-2-211-2-1-1220000002200-2-20000-1-11100000
χ284444-41-21-2-211-2-1-122000000-2-20022000011-1-1000004444-41-21-2-211-2-1-122000000-2-20022000011-1-100000
χ294444-4-21-211-2-2122-1-100002200-2-200-1-1110000000004444-4-21-211-2-2122-1-100002200-2-200-1-111000000000
χ304444-4-21-211-2-2122-1-10000-2-200220011-1-10000000004444-4-21-211-2-2122-1-10000-2-200220011-1-1000000000
χ3144-4-401-212-2-1-123-3000000002i−2i002i−2i0000−ii−ii0000044-4-401-212-2-1-123-3000000002i−2i002i−2i0000−ii−ii00000
χ3244-4-401-212-2-1-123-300000000−2i2i00−2i2i0000i−ii−i0000044-4-401-212-2-1-123-300000000−2i2i00−2i2i0000i−ii−i00000
χ3344-4-401-212-2-1-12-33000000002i−2i00−2i2i0000−iii−i0000044-4-401-212-2-1-12-33000000002i−2i00−2i2i0000−iii−i00000
χ3444-4-401-212-2-1-12-3300000000−2i2i002i−2i0000i−i−ii0000044-4-401-212-2-1-12-3300000000−2i2i002i−2i0000i−i−ii00000
χ354-44-40-2121-1-22-1003-300002i−2i002i−2i00−ii−ii0000000004-44-40-2121-1-22-1003-300002i−2i002i−2i00−ii−ii000000000
χ364-44-40-2121-1-22-1003-30000−2i2i00−2i2i00i−ii−i0000000004-44-40-2121-1-22-1003-30000−2i2i00−2i2i00i−ii−i000000000
χ374-44-40-2121-1-22-100-3300002i−2i00−2i2i00−iii−i0000000004-44-40-2121-1-22-100-3300002i−2i00−2i2i00−iii−i000000000
χ384-44-40-2121-1-22-100-330000−2i2i002i−2i00i−i−ii0000000004-44-40-2121-1-22-100-330000−2i2i002i−2i00i−i−ii000000000
χ3988-8-80-42-4-2244-20000000000000000000000000000088-8-80-42-4-2244-200000000000000000000000000000
χ408-88-802-4-2-442-24000000000000000000000000000008-88-802-4-2-442-2400000000000000000000000000000
χ418-8-8802-4-244-22-4000000000000000000000000000008-8-8802-4-244-22-400000000000000000000000000000
χ428-8-880-424-2-24-42000000000000000000000000000008-8-880-424-2-24-4200000000000000000000000000000
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
χ4411111111111111111111111-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11111
χ45111111111111111111111-1-111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11111
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
χ471111-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-111
χ481111-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1
χ491111-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1
χ501111-111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1-111
χ5122222222222222222-2-2-2-20000000000000000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000020000
χ522222-222222222-2-2-2-2-2-2-2-2000000000000000020000-2-2-2-22-2-2-2-2-2-2-2-2222222220000000000000000-20000
χ5322-2-20222-22-2-2-200002-22-20000002i−2i0000002i−2i00000-2-2220-2-2-22-22220000-22-22000000−2i2i000000−2i2i00000
χ5422-2-20222-22-2-2-200002-22-2000000−2i2i000000−2i2i00000-2-2220-2-2-22-22220000-22-220000002i−2i0000002i−2i00000
χ5522-2-20222-22-2-2-20000-22-22002i−2i000000002i−2i0000000-2-2220-2-2-22-222200002-22-200−2i2i00000000−2i2i0000000
χ5622-2-20222-22-2-2-20000-22-2200−2i2i00000000−2i2i0000000-2-2220-2-2-22-222200002-22-2002i−2i000000002i−2i0000000
χ572-22-2022-22-22-2-200002-2-222i−2i0000002i−2i00000000000-22-220-2-22-22-2220000-222-2−2i2i000000−2i2i00000000000
χ582-22-2022-22-22-2-200002-2-22−2i2i000000−2i2i00000000000-22-220-2-22-22-2220000-222-22i−2i0000002i−2i00000000000
χ592-22-2022-22-22-2-20000-222-200002i−2i00002i−2i000000000-22-220-2-22-22-22200002-2-220000−2i2i0000−2i2i000000000
χ602-22-2022-22-22-2-20000-222-20000−2i2i0000−2i2i000000000-22-220-2-22-22-22200002-2-2200002i−2i00002i−2i000000000
χ612-2-22022-2-2-2-222000022-2-200000000000000000002i−2i-222-20-2-22222-2-20000-2-2220000000000000000000−2i2i
χ622-2-22022-2-2-2-222000022-2-20000000000000000000−2i2i-222-20-2-22222-2-20000-2-22200000000000000000002i−2i
χ632-2-22022-2-2-2-2220000-2-222000000000000000002-200-222-20-2-22222-2-2000022-2-200000000000000000-2200
χ642-2-22022-2-2-2-2220000-2-22200000000000000000-2200-222-20-2-22222-2-2000022-2-2000000000000000002-200
χ65444441-21-2-211-211-2-20000002200220000-1-1-1-100000-4-4-4-4-4-12-122-1-12-1-122000000-2-200-2-20000111100000
χ66444441-21-2-211-211-2-2000000-2-200-2-20000111100000-4-4-4-4-4-12-122-1-12-1-1220000002200220000-1-1-1-100000
χ6744444-21-211-2-21-2-211000022002200-1-1-1-1000000000-4-4-4-4-42-12-1-122-122-1-10000-2-200-2-2001111000000000
χ6844444-21-211-2-21-2-2110000-2-200-2-2001111000000000-4-4-4-4-42-12-1-122-122-1-1000022002200-1-1-1-1000000000
χ694444-41-21-2-211-2-1-1220000002200-2-20000-1-11100000-4-4-4-44-12-122-1-1211-2-2000000-2-20022000011-1-100000
χ704444-41-21-2-211-2-1-122000000-2-20022000011-1-100000-4-4-4-44-12-122-1-1211-2-20000002200-2-20000-1-11100000
χ714444-4-21-211-2-2122-1-100002200-2-200-1-111000000000-4-4-4-442-12-1-122-1-2-2110000-2-200220011-1-1000000000
χ724444-4-21-211-2-2122-1-10000-2-200220011-1-1000000000-4-4-4-442-12-1-122-1-2-21100002200-2-200-1-111000000000
χ7344-4-401-212-2-1-123-3000000002i−2i002i−2i0000−ii−ii00000-4-4440-12-1-2211-2-3300000000−2i2i00−2i2i0000i−ii−i00000
χ7444-4-401-212-2-1-123-300000000−2i2i00−2i2i0000i−ii−i00000-4-4440-12-1-2211-2-33000000002i−2i002i−2i0000−ii−ii00000
χ7544-4-401-212-2-1-12-33000000002i−2i00−2i2i0000−iii−i00000-4-4440-12-1-2211-23-300000000−2i2i002i−2i0000i−i−ii00000
χ7644-4-401-212-2-1-12-3300000000−2i2i002i−2i0000i−i−ii00000-4-4440-12-1-2211-23-3000000002i−2i00−2i2i0000−iii−i00000
χ774-44-40-2121-1-22-1003-300002i−2i002i−2i00−ii−ii000000000-44-4402-1-2-112-2100-330000−2i2i00−2i2i00i−ii−i000000000
χ784-44-40-2121-1-22-1003-30000−2i2i00−2i2i00i−ii−i000000000-44-4402-1-2-112-2100-3300002i−2i002i−2i00−ii−ii000000000
χ794-44-40-2121-1-22-100-3300002i−2i00−2i2i00−iii−i000000000-44-4402-1-2-112-21003-30000−2i2i002i−2i00i−i−ii000000000
χ804-44-40-2121-1-22-100-330000−2i2i002i−2i00i−i−ii000000000-44-4402-1-2-112-21003-300002i−2i00−2i2i00−iii−i000000000
χ8188-8-80-42-4-2244-200000000000000000000000000000-8-88804-242-2-4-4200000000000000000000000000000
χ828-88-802-4-2-442-2400000000000000000000000000000-88-880-2424-4-22-400000000000000000000000000000
χ838-8-8802-4-244-22-400000000000000000000000000000-888-80-242-4-42-2400000000000000000000000000000
χ848-8-880-424-2-24-4200000000000000000000000000000-888-804-2-422-44-200000000000000000000000000000

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