Finite Group Databasebeta

← Group #13149607

Character table — Group #13149607

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11112222224444444466666666121212121212121218181818181818182424242424242424242436363636363636363636363636363636363636363636363672727272
order122234466644121212121212336666663666121212122244121212121212121212121212121244444444446612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-11-1111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-111
χ51111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1111-1-11-1-111-1-1-1-111111111-1-1-1-1
χ61111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-1-1-111-1-1111111-1-111-1-1-1-111
χ81111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1111-1-1-1-11111-1-111-1-11111-1-1
χ911111-1-11111-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11-11-1-11-111-11111-1-111-1-1-1-1111-11-1
χ1011111-1-11111-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11-1-111-11-1-111111-1-1-1-11111-1-1-11-11
χ1111111-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1111-11-1-1-11-1-1-1-1111111-1-1-1-11-1-11
χ1211111-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-11-1-11-1111-1-1-1-1-111-1-1-1-11111-111-1
χ1311111-1-1111-11-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-111-1-1-111-1111-1-11111-1-1-1-111-11-11
χ1411111-1-1111-11-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-11-1111-1-11-111-1-111-1-11111-1-11-11-1
χ1511111-1-1111-11-1-111-1-1111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1111-111-1-11-11-1-1-111-1-11111-1-1-1-1-111-1
χ1611111-1-1111-11-1-111-1-1111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-111-11-11-1-111-1-1-1-1-1-111111-1-11
χ172222222222222222222-12-12-12-1-1-1-1-122-1-1000000002-12-1-1-1-1-1-1-1000200022200000000-1-100-1-100-1-1
χ182222222222222222222-12-12-12-1-1-1-1-122-1-1000000002-12-1-1-1-1-1-1-1000-2000-2-2-2000000001100110011
χ19222222222222222222-12-12-12-12-1-1-1-1-1-12200000000-12-12-1-1-1-1-1-10020222000000000-1-100-1-100-1-100
χ20222222222222222222-12-12-12-12-1-1-1-1-1-12200000000-12-12-1-1-1-1-1-100-20-2-2-2000000000110011001100
χ212222222222-2-2-2-2-2-2222-12-12-12-1-1-1-1-122-1-100000000-21-21-1-1111100020002-2-200000000-1-100-1-10011
χ222222222222-2-2-2-2-2-2222-12-12-12-1-1-1-1-122-1-100000000-21-21-1-11111000-2000-2220000000011001100-1-1
χ232222222222-2-2-2-2-2-222-12-12-12-12-1-1-1-1-1-122000000001-21-2-1-1111100202-2-2000000000-1-100-1-1001100
χ242222222222-2-2-2-2-2-222-12-12-12-12-1-1-1-1-1-122000000001-21-2-1-1111100-20-22200000000011001100-1-100
χ2522222-2-22222-222-2-2-2-22-12-12-12-1-1-1-1-1-2-211000000002-1-2111-1-1110002000-2-2200000000-1-10011001-1
χ2622222-2-22222-222-2-2-2-22-12-12-12-1-1-1-1-1-2-211000000002-1-2111-1-111000-200022-2000000001100-1-100-11
χ2722222-2-22222-222-2-2-2-2-12-12-12-12-1-1-1-111-2-200000000-121-211-1-1110020-22-2000000000-1-1001100-1100
χ2822222-2-22222-222-2-2-2-2-12-12-12-12-1-1-1-111-2-200000000-121-211-1-11100-202-220000000001100-1-1001-100
χ2922222-2-2222-22-2-222-2-22-12-12-12-1-1-1-1-1-2-21100000000-212-11111-1-10002000-22-200000000-1-1001100-11
χ3022222-2-2222-22-2-222-2-22-12-12-12-1-1-1-1-1-2-21100000000-212-11111-1-1000-20002-22000000001100-1-1001-1
χ3122222-2-2222-22-2-222-2-2-12-12-12-12-1-1-1-111-2-2000000001-2-121111-1-10020-2-22000000000-1-10011001-100
χ3222222-2-2222-22-2-222-2-2-12-12-12-12-1-1-1-111-2-2000000001-2-121111-1-100-2022-20000000001100-1-100-1100
χ3322-2-222-2-22-20000002-22222-2-2-2-22-22-22-22-22-22-222-2-200002-2000000000000002-20000000000000000
χ3422-2-222-2-22-20000002-22222-2-2-2-22-22-22-22-2-22-22-2-22200002-200000000000000-220000000000000000
χ3522-2-22-22-22-2000000-222222-2-2-2-22-22-2-22-222-2-22-2-2220000-22000000000000002-20000000000000000
χ3622-2-22-22-22-2000000-222222-2-2-2-22-22-2-22-22-222-222-2-20000-2200000000000000-220000000000000000
χ37444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-200000000-2-2-2-21111110000000000000000000000000000
χ384444444444-4-4-4-4-4-444-2-2-2-2-2-2-2-21111-2-2-2-200000000222211-1-1-1-10000000000000000000000000000
χ3944444-4-44444-444-4-4-4-4-2-2-2-2-2-2-2-21111222200000000-2-222-1-111-1-10000000000000000000000000000
χ4044444-4-4444-44-4-444-4-4-2-2-2-2-2-2-2-2111122220000000022-2-2-1-1-1-1110000000000000000000000000000
χ4144-4-444-4-44-40000004-44-24-2-42-42-22-224-4-22000000000000-2200000000000000000000000000000000
χ4244-4-444-4-44-40000004-4-24-242-42-4-22-22-224-4000000000000-2200000000000000000000000000000000
χ4344-4-444-4-44-40000004-4-2-2-2-222221-11-1-22-220000000000001-13i−3i3i−3i0000000000000000000000000000
χ4444-4-444-4-44-40000004-4-2-2-2-222221-11-1-22-220000000000001-1−3i3i−3i3i0000000000000000000000000000
χ4544-4-44-44-44-4000000-444-24-2-42-42-22-22-442-20000000000002-200000000000000000000000000000000
χ4644-4-44-44-44-4000000-44-24-242-42-4-22-222-2-440000000000002-200000000000000000000000000000000
χ4744-4-44-44-44-4000000-44-2-2-2-222221-11-12-22-2000000000000-113i−3i−3i3i0000000000000000000000000000
χ4844-4-44-44-44-4000000-44-2-2-2-222221-11-12-22-2000000000000-11−3i3i3i−3i0000000000000000000000000000
χ494-44-4400-4-440000000044-4-444-4-444-4-400000000000000000000000000000000000000000000000000
χ504-44-4400-4-44000000004-2-424-2-42-2-2220000000000000000000000000000000000000000−2i32i300000000
χ514-44-4400-4-44000000004-2-424-2-42-2-22200000000000000000000000000000000000000002i3−2i300000000
χ524-44-4400-4-4400000000-242-4-242-4-2-22200000000000000000000000000000000000000−2i32i30000000000
χ534-44-4400-4-4400000000-242-4-242-4-2-222000000000000000000000000000000000000002i3−2i30000000000
χ544-4-444004-4-40000000044-4-4-4-4444-4-4400000000000000000000000000000000000000000000000000
χ554-4-444004-4-4000000004-2-42-424-2-222-200000000000000000000000000000000000000000000−2i32i30000
χ564-4-444004-4-4000000004-2-42-424-2-222-2000000000000000000000000000000000000000000002i3−2i30000
χ574-4-444004-4-400000000-242-42-4-24-222-2000000000000000000000000000000000000000000−2i32i3000000
χ584-4-444004-4-400000000-242-42-4-24-222-20000000000000000000000000000000000000000002i3−2i3000000
χ596666-366-3-3-366-3-3-3-3-3-300000000000000002222-1-1-1-100000000002200000000-1-1-1-1-1-1000000000000
χ606666-366-3-3-366-3-3-3-3-3-30000000000000000-2-2-2-211110000000000-2-200000000111111000000000000
χ616666-366-3-3-3-6-63333-3-300000000000000002222-1-1-1-10000000000-2-200000000-1-11111000000000000
χ626666-366-3-3-3-6-63333-3-30000000000000000-2-2-2-211110000000000220000000011-1-1-1-1000000000000
χ636666-3-6-6-3-3-36-6-3-33333000000000000000022-2-2111100000000002-200000000-1-1-1-111000000000000
χ646666-3-6-6-3-3-36-6-3-333330000000000000000-2-222-1-1-1-10000000000-22000000001111-1-1000000000000
χ656666-3-6-6-3-3-3-6633-3-333000000000000000022-2-211110000000000-2200000000-1-111-1-1000000000000
χ666666-3-6-6-3-3-3-6633-3-3330000000000000000-2-222-1-1-1-100000000002-20000000011-1-111000000000000
χ6766-6-6-36-63-330033−3333−33-3300000000000000002-22-2-1-11100000000000000000000-113−33−3000000000000
χ6866-6-6-36-63-330033−3333−33-330000000000000000-22-2211-1-1000000000000000000001-1−33−33000000000000
χ6966-6-6-36-63-3300−3333−3333-3300000000000000002-22-2-1-11100000000000000000000-11−33−33000000000000
χ7066-6-6-36-63-3300−3333−3333-330000000000000000-22-2211-1-1000000000000000000001-13−33−3000000000000
χ7166-6-6-3-663-330033−33−33333-300000000000000002-2-2211-1-100000000000000000000-113−3−33000000000000
χ7266-6-6-3-663-330033−33−33333-30000000000000000-222-2-1-111000000000000000000001-1−333−3000000000000
χ7366-6-6-3-663-3300−333333−333-300000000000000002-2-2211-1-100000000000000000000-11−333−3000000000000
χ7466-6-6-3-663-3300−333333−333-30000000000000000-222-2-1-111000000000000000000001-13−3−33000000000000
χ758-88-8800-8-8800000000-4-444-4-44422-2-200000000000000000000000000000000000000000000000000
χ768-8-888008-8-800000000-4-44444-4-42-2-2200000000000000000000000000000000000000000000000000
χ7712-1212-12-60066-6000000000000000000000000000023−2323−2300000000000000000000000000000000000000
χ7812-1212-12-60066-60000000000000000000000000000−2323−232300000000000000000000000000000000000000
χ7912-12-1212-600-666000000000000000000000000000023−23−232300000000000000000000000000000000000000
χ8012-12-1212-600-6660000000000000000000000000000−232323−2300000000000000000000000000000000000000

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