Finite Group Databasebeta

← Group #13149576

Character table — Group #13149576

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444444446666666699991212121212121212181818181818181818181818181824242424242424242424363636363636363636363636363636363636363672727272
order1222344666441212121212123366666622223666121212124444444444666612121212121212121212444444121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ411111111111111111111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111
χ51111111111-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ61111111111-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-111-1-1-1-111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-111-1-1-1-111
χ81111111111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ911111-1-11111-1-1-111-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11-11-11-1-1-111-1-11111-1-1-1-11-11-1
χ1011111-1-11111-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11-1-11-11-1-111-1-1-1-1-1-11111-11-11
χ1111111-1-11111-1-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-111-1-1111-1-11111-1-1-1-1111-1-11
χ1211111-1-11111-1-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-11-111-111-1-111-1-11111-1-1-111-1
χ1311111-1-1111-11-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-11-11-11-1-1-1-1111111-1-1-1-1-11-11
χ1411111-1-1111-11-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-111-11-1-1-1-1-111-1-1-1-111111-11-1
χ1511111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111-1-111-11111-1-111-1-1-1-111-111-1
χ1611111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-11-1-111111-1-1-1-11111-1-11-1-11
χ172222222222222222222-12-12-12-10000-1-1-1-122-1-1000022002200002-12-1-1-1-1-1-1-100002200000000-1-100-1-100-1-1
χ182222222222222222222-12-12-12-10000-1-1-1-122-1-10000-2-200-2-200002-12-1-1-1-1-1-1-10000-2-2000000001100110011
χ19222222222222222222-12-12-12-120000-1-1-1-1-1-12200220022000000-12-12-1-1-1-1-1-1002200000000-1-100-1-100-1-100
χ20222222222222222222-12-12-12-120000-1-1-1-1-1-12200-2-200-2-2000000-12-12-1-1-1-1-1-100-2-200000000110011001100
χ212222222222-2-222-2-2-2-22-12-12-12-10000-1-1-1-122-1-100002200220000-21-21-1-111110000-2-200000000-1-100-1-10011
χ222222222222-2-222-2-2-2-22-12-12-12-10000-1-1-1-122-1-10000-2-200-2-20000-21-21-1-111110000220000000011001100-1-1
χ232222222222-2-222-2-2-2-2-12-12-12-120000-1-1-1-1-1-122002200220000001-21-2-1-1111100-2-200000000-1-100-1-1001100
χ242222222222-2-222-2-2-2-2-12-12-12-120000-1-1-1-1-1-12200-2-200-2-20000001-21-2-1-1111100220000000011001100-1-100
χ2522222-2-22222-2-2-222-2-22-12-12-12-10000-1-1-1-1-2-21100002200-2-200002-1-2111-1-11100002-200000000-1-1001100-11
χ2622222-2-22222-2-2-222-2-22-12-12-12-10000-1-1-1-1-2-2110000-2-2002200002-1-2111-1-1110000-22000000001100-1-1001-1
χ2722222-2-22222-2-2-222-2-2-12-12-12-120000-1-1-1-111-2-2002200-2-2000000-121-211-1-111002-200000000-1-1001100-1100
χ2822222-2-22222-2-2-222-2-2-12-12-12-120000-1-1-1-111-2-200-2-20022000000-121-211-1-11100-22000000001100-1-1001-100
χ2922222-2-2222-22-2-2-2-2222-12-12-12-10000-1-1-1-1-2-21100002200-2-20000-212-11111-1-10000-2200000000-1-10011001-1
χ3022222-2-2222-22-2-2-2-2222-12-12-12-10000-1-1-1-1-2-2110000-2-200220000-212-11111-1-100002-2000000001100-1-100-11
χ3122222-2-2222-22-2-2-2-222-12-12-12-120000-1-1-1-111-2-2002200-2-20000001-2-121111-1-100-2200000000-1-10011001-100
χ3222222-2-2222-22-2-2-2-222-12-12-12-120000-1-1-1-111-2-200-2-200220000001-2-121111-1-1002-2000000001100-1-100-1100
χ3322-2-222-2-22-2002-200002222-2-2-2-222-2-22-22-22-22-22-20000000022-2-200002-200000000002-20000000000000000
χ3422-2-222-2-22-2002-200002222-2-2-2-2-2-2222-22-22-22-2-2200000000-2-22200002-20000000000-220000000000000000
χ3522-2-22-22-22-200-2200002222-2-2-2-222-2-22-22-2-22-22-220000000022-2-20000-220000000000-220000000000000000
χ3622-2-22-22-22-200-2200002222-2-2-2-2-2-2222-22-2-22-222-200000000-2-2220000-2200000000002-20000000000000000
χ372-22-22002-2-20000000022-2-222-2-22-22-222-2-20000002-22-200002-22-200000000000000000000002-22-200000000
χ382-22-22002-2-20000000022-2-222-2-22-22-222-2-2000000-22-2200002-22-20000000000000000000000-22-2200000000
χ392-22-22002-2-20000000022-2-222-2-2-22-2222-2-20000002-2-220000-22-2200000000000000000000002-2-2200000000
χ402-22-22002-2-20000000022-2-222-2-2-22-2222-2-2000000-222-20000-22-220000000000000000000000-222-200000000
χ412-2-22200-2-220000000022-2-2-2-2222-2-222-2-2200000000002-22-22-2-22000000000000000000000000002-22-20000
χ422-2-22200-2-220000000022-2-2-2-2222-2-222-2-220000000000-22-222-2-2200000000000000000000000000-22-220000
χ432-2-22200-2-220000000022-2-2-2-222-222-22-2-2200000000002-2-22-222-2000000000000000000000000002-2-220000
χ442-2-22200-2-220000000022-2-2-2-222-222-22-2-220000000000-222-2-222-200000000000000000000000000-222-20000
χ45444444444444444444-2-2-2-2-2-2-2-200001111-2-2-2-200000000000000-2-2-2-2111111000000000000000000000000
χ464444444444-4-444-4-4-4-4-2-2-2-2-2-2-2-200001111-2-2-2-200000000000000222211-1-1-1-1000000000000000000000000
χ4744444-4-44444-4-4-444-4-4-2-2-2-2-2-2-2-200001111222200000000000000-2-222-1-111-1-1000000000000000000000000
χ4844444-4-4444-44-4-4-4-444-2-2-2-2-2-2-2-20000111122220000000000000022-2-2-1-1-1-111000000000000000000000000
χ4944-4-444-4-44-4004-400004-24-2-42-420000-22-224-4-22000000000000000000-220000000000000000000000000000
χ5044-4-444-4-44-4004-40000-24-242-42-40000-22-22-224-4000000000000000000-220000000000000000000000000000
χ5144-4-444-4-44-4004-40000-2-2-2-2222200001-11-1-22-220000000000000000001-13i−3i3i−3i000000000000000000000000
χ5244-4-444-4-44-4004-40000-2-2-2-2222200001-11-1-22-220000000000000000001-1−3i3i−3i3i000000000000000000000000
χ5344-4-44-44-44-400-4400004-24-2-42-420000-22-22-442-20000000000000000002-20000000000000000000000000000
χ5444-4-44-44-44-400-440000-24-242-42-40000-22-222-2-440000000000000000002-20000000000000000000000000000
χ5544-4-44-44-44-400-440000-2-2-2-2222200001-11-12-22-2000000000000000000-113i−3i−3i3i000000000000000000000000
χ5644-4-44-44-44-400-440000-2-2-2-2222200001-11-12-22-2000000000000000000-11−3i3i3i−3i000000000000000000000000
χ574-44-44004-4-4000000004-2-424-2-420000-2-222000000004-400000000000000000000000000000000-2200000000
χ584-44-44004-4-4000000004-2-424-2-420000-2-22200000000-44000000000000000000000000000000002-200000000
χ594-44-44004-4-400000000-242-4-242-40000-2-2220000004-400000000000000000000000000000000-220000000000
χ604-44-44004-4-400000000-242-4-242-40000-2-222000000-44000000000000000000000000000000002-20000000000
χ614-4-44400-4-44000000004-2-42-424-20000-222-20000000000004-400000000000000000000000000000000-220000
χ624-4-44400-4-44000000004-2-42-424-20000-222-2000000000000-44000000000000000000000000000000002-20000
χ634-4-44400-4-4400000000-242-42-4-240000-222-200000000004-400000000000000000000000000000000-22000000
χ644-4-44400-4-4400000000-242-42-4-240000-222-20000000000-44000000000000000000000000000000002-2000000
χ656666-366-3-3-366-3-3-3-3-3-3000000002222000000002200000000-1-1-1-10000000000220000-1-1-1-1-1-1000000000000
χ666666-366-3-3-366-3-3-3-3-3-300000000-2-2-2-200000000-2-20000000011110000000000-2-20000111111000000000000
χ676666-366-3-3-3-6-6-3-33333000000002222000000002200000000-1-1-1-10000000000-2-20000-1-11111000000000000
χ686666-366-3-3-3-6-6-3-3333300000000-2-2-2-200000000-2-2000000001111000000000022000011-1-1-1-1000000000000
χ696666-3-6-6-3-3-36-633-3-33300000000222200000000-2-200000000-1-1-1-100000000002-2000011-1-111000000000000
χ706666-3-6-6-3-3-36-633-3-33300000000-2-2-2-200000000220000000011110000000000-220000-1-111-1-1000000000000
χ716666-3-6-6-3-3-3-663333-3-300000000222200000000-2-200000000-1-1-1-10000000000-2200001111-1-1000000000000
χ726666-3-6-6-3-3-3-663333-3-300000000-2-2-2-2000000002200000000111100000000002-20000-1-1-1-111000000000000
χ7366-6-6-36-63-3300-3333−3333−330000000022-2-2000000002-200000000-1-1110000000000000000-113−33−3000000000000
χ7466-6-6-36-63-3300-3333−3333−3300000000-2-22200000000-220000000011-1-100000000000000001-1−33−33000000000000
χ7566-6-6-36-63-3300-33−3333−33330000000022-2-2000000002-200000000-1-1110000000000000000-11−33−33000000000000
χ7666-6-6-36-63-3300-33−3333−333300000000-2-22200000000-220000000011-1-100000000000000001-13−33−3000000000000
χ7766-6-6-3-663-33003-333−33−33330000000022-2-200000000-2200000000-1-11100000000000000001-13−3−33000000000000
χ7866-6-6-3-663-33003-333−33−333300000000-2-222000000002-20000000011-1-10000000000000000-11−333−3000000000000
χ7966-6-6-3-663-33003-3−333333−330000000022-2-200000000-2200000000-1-11100000000000000001-1−333−3000000000000
χ8066-6-6-3-663-33003-3−333333−3300000000-2-222000000002-20000000011-1-10000000000000000-113−3−33000000000000
χ818-88-88008-8-800000000-4-444-4-444000022-2-20000000000000000000000000000000000000000000000000000
χ828-8-88800-8-8800000000-4-44444-4-400002-2-220000000000000000000000000000000000000000000000000000
χ8312-1212-12-600-66600000000000000004-44-4000000000000000000-22-220000000000000000000000000000000000
χ8412-1212-12-600-6660000000000000000-44-440000000000000000002-22-20000000000000000000000000000000000
χ8512-12-1212-60066-600000000000000004-4-44000000000000000000-222-20000000000000000000000000000000000
χ8612-12-1212-60066-60000000000000000-444-40000000000000000002-2-220000000000000000000000000000000000

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