Finite Group Databasebeta

← Group #11808171

Character table — Group #11808171

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111144444444488889999121212121212121224242424242424243636363636111144444444488889999121212121212121224242424242424243636363636
order122223366666666662222224444446612121212121224444222226666666666662222224444446612121212121224444
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
χ1122-2-202222-2-2-2-200002-22-20000002i−2i0000002i−2i0000022-2-202222-2-2-2-200002-22-20000002i−2i0000002i−2i00000
χ1222-2-202222-2-2-2-200002-22-2000000−2i2i000000−2i2i0000022-2-202222-2-2-2-200002-22-2000000−2i2i000000−2i2i00000
χ1322-2-202222-2-2-2-20000-22-22002i−2i000000002i−2i000000022-2-202222-2-2-2-20000-22-22002i−2i000000002i−2i0000000
χ1422-2-202222-2-2-2-20000-22-2200−2i2i00000000−2i2i000000022-2-202222-2-2-2-20000-22-2200−2i2i00000000−2i2i0000000
χ152-22-2022-2-222-2-2000022-2-200000000000000000002i−2i2-22-2022-2-222-2-2000022-2-200000000000000000002i−2i
χ162-22-2022-2-222-2-2000022-2-20000000000000000000−2i2i2-22-2022-2-222-2-2000022-2-20000000000000000000−2i2i
χ172-22-2022-2-222-2-20000-2-222000000000000000002-2002-22-2022-2-222-2-20000-2-222000000000000000002-200
χ182-22-2022-2-222-2-20000-2-22200000000000000000-22002-22-2022-2-222-2-20000-2-22200000000000000000-2200
χ192-2-22022-2-2-2-22200002-2-222-20000002-2000000000002-2-22022-2-2-2-22200002-2-222-20000002-200000000000
χ202-2-22022-2-2-2-22200002-2-22-22000000-22000000000002-2-22022-2-2-2-22200002-2-22-22000000-2200000000000
χ212-2-22022-2-2-2-2220000-222-200002-200002-20000000002-2-22022-2-2-2-2220000-222-200002-200002-2000000000
χ222-2-22022-2-2-2-2220000-222-20000-220000-220000000002-2-22022-2-2-2-2220000-222-20000-220000-22000000000
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
χ3144-4-401-21-22-1-123-3000000002i−2i002i−2i0000−ii−ii0000044-4-401-21-22-1-123-3000000002i−2i002i−2i0000−ii−ii00000
χ3244-4-401-21-22-1-123-300000000−2i2i00−2i2i0000i−ii−i0000044-4-401-21-22-1-123-300000000−2i2i00−2i2i0000i−ii−i00000
χ3344-4-401-21-22-1-12-33000000002i−2i00−2i2i0000−iii−i0000044-4-401-21-22-1-12-33000000002i−2i00−2i2i0000−iii−i00000
χ3444-4-401-21-22-1-12-3300000000−2i2i002i−2i0000i−i−ii0000044-4-401-21-22-1-12-3300000000−2i2i002i−2i0000i−i−ii00000
χ354-4-440-212-1-12-21003-300002-2002-200-11-110000000004-4-440-212-1-12-21003-300002-2002-200-11-11000000000
χ364-4-440-212-1-12-21003-30000-2200-22001-11-10000000004-4-440-212-1-12-21003-30000-2200-22001-11-1000000000
χ374-4-440-212-1-12-2100-3300002-200-2200-111-10000000004-4-440-212-1-12-2100-3300002-200-2200-111-1000000000
χ384-4-440-212-1-12-2100-330000-22002-2001-1-110000000004-4-440-212-1-12-2100-330000-22002-2001-1-11000000000
χ3988-8-80-42-42-244-20000000000000000000000000000088-8-80-42-42-244-200000000000000000000000000000
χ408-88-802-4-24-42-24000000000000000000000000000008-88-802-4-24-42-2400000000000000000000000000000
χ418-88-80-424-22-44-2000000000000000000000000000008-88-80-424-22-44-200000000000000000000000000000
χ428-8-8802-4-244-22-4000000000000000000000000000008-8-8802-4-244-22-400000000000000000000000000000
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
χ5322-2-202222-2-2-2-200002-22-20000002i−2i0000002i−2i00000-2-2220-2-2-2-222220000-22-22000000−2i2i000000−2i2i00000
χ5422-2-202222-2-2-2-200002-22-2000000−2i2i000000−2i2i00000-2-2220-2-2-2-222220000-22-220000002i−2i0000002i−2i00000
χ5522-2-202222-2-2-2-20000-22-22002i−2i000000002i−2i0000000-2-2220-2-2-2-2222200002-22-200−2i2i00000000−2i2i0000000
χ5622-2-202222-2-2-2-20000-22-2200−2i2i00000000−2i2i0000000-2-2220-2-2-2-2222200002-22-2002i−2i000000002i−2i0000000
χ572-22-2022-2-222-2-2000022-2-200000000000000000002i−2i-22-220-2-222-2-2220000-2-2220000000000000000000−2i2i
χ582-22-2022-2-222-2-2000022-2-20000000000000000000−2i2i-22-220-2-222-2-2220000-2-22200000000000000000002i−2i
χ592-22-2022-2-222-2-20000-2-222000000000000000002-200-22-220-2-222-2-222000022-2-200000000000000000-2200
χ602-22-2022-2-222-2-20000-2-22200000000000000000-2200-22-220-2-222-2-222000022-2-2000000000000000002-200
χ612-2-22022-2-2-2-22200002-2-222-20000002-200000000000-222-20-2-22222-2-20000-222-2-22000000-2200000000000
χ622-2-22022-2-2-2-22200002-2-22-22000000-2200000000000-222-20-2-22222-2-20000-222-22-20000002-200000000000
χ632-2-22022-2-2-2-2220000-222-200002-200002-2000000000-222-20-2-22222-2-200002-2-220000-220000-22000000000
χ642-2-22022-2-2-2-2220000-222-20000-220000-22000000000-222-20-2-22222-2-200002-2-2200002-200002-2000000000
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
χ7344-4-401-21-22-1-123-3000000002i−2i002i−2i0000−ii−ii00000-4-4440-12-12-211-2-3300000000−2i2i00−2i2i0000i−ii−i00000
χ7444-4-401-21-22-1-123-300000000−2i2i00−2i2i0000i−ii−i00000-4-4440-12-12-211-2-33000000002i−2i002i−2i0000−ii−ii00000
χ7544-4-401-21-22-1-12-33000000002i−2i00−2i2i0000−iii−i00000-4-4440-12-12-211-23-300000000−2i2i002i−2i0000i−i−ii00000
χ7644-4-401-21-22-1-12-3300000000−2i2i002i−2i0000i−i−ii00000-4-4440-12-12-211-23-3000000002i−2i00−2i2i0000−iii−i00000
χ774-4-440-212-1-12-21003-300002-2002-200-11-11000000000-444-402-1-211-22-100-330000-2200-22001-11-1000000000
χ784-4-440-212-1-12-21003-30000-2200-22001-11-1000000000-444-402-1-211-22-100-3300002-2002-200-11-11000000000
χ794-4-440-212-1-12-2100-3300002-200-2200-111-1000000000-444-402-1-211-22-1003-30000-22002-2001-1-11000000000
χ804-4-440-212-1-12-2100-330000-22002-2001-1-11000000000-444-402-1-211-22-1003-300002-200-2200-111-1000000000
χ8188-8-80-42-42-244-200000000000000000000000000000-8-88804-24-22-4-4200000000000000000000000000000
χ828-88-802-4-24-42-2400000000000000000000000000000-88-880-242-44-22-400000000000000000000000000000
χ838-88-80-424-22-44-200000000000000000000000000000-88-8804-2-42-24-4200000000000000000000000000000
χ848-8-8802-4-244-22-400000000000000000000000000000-888-80-242-4-42-2400000000000000000000000000000

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