Finite Group Databasebeta

← Group #13149436

Character table — Group #13149436

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444444446666666699991212121212121212181818181818181818181818181824242424242424242424363636363636363636363636363636363636363672727272
order122234466644121212121212336666664444366612121212224444444412121212121212121212121212124444446612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ51111111111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ61111111111-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111
χ81111111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1
χ911111-1-11111-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111111-11-1-1-111-1-11-11-11-111-1-111-1-111-1-1-1-11-11-1
χ1011111-1-11111-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-1-111-1-11-1-1-1-111-1-1-1-11111-11-11
χ1111111-1-11111-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11-11-1-1-111-1-1-11-111-11111-1-111-1-1-1-1111-1-11
χ1211111-1-11111-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11-11-1-1-111-1-11-1-11-11-1-111-1-1111111-1-1-111-1
χ1311111-1-1111-11-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-11111-11-11-1-1-1-111-11-11-1111-1-1-1-11111-1-1-1-1-11-11
χ1411111-1-1111-11-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1111-1-111-1-1-1-1-1-1-111-1-111111-11-1
χ1511111-1-1111-11-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-11-11-1-1-1-1111-11-1-11111111-1-1-1-1-1-111-111-1
χ1611111-1-1111-11-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-11-11-1-1-1-111-111-11-1-1-11111-1-11111-1-11-1-11
χ172222222222222222222-1-12-12-120000-1-1-1-122-1-122000000220000-1-122-1-1-1-1-1-1000022-1-100000000-1-100-1-100
χ182222222222222222222-1-12-12-120000-1-1-1-122-1-1-2-2000000-2-20000-1-122-1-1-1-1-1-10000-2-2110000000011001100
χ19222222222222222222-122-12-12-10000-1-1-1-1-1-1220022002200000022-1-1-1-1-1-1-1-122000000000000-1-100-1-100-1-1
χ20222222222222222222-122-12-12-10000-1-1-1-1-1-12200-2-200-2-200000022-1-1-1-1-1-1-1-1-2-20000000000001100110011
χ212222222222-2-2-2-2-2-2222-1-12-12-120000-1-1-1-122-1-12200000022000011-2-2-1-111110000-2-2-1-100000000-1-1001100
χ222222222222-2-2-2-2-2-2222-1-12-12-120000-1-1-1-122-1-1-2-2000000-2-2000011-2-2-1-1111100002211000000001100-1-100
χ232222222222-2-2-2-2-2-222-122-12-12-10000-1-1-1-1-1-12200220022000000-2-211-1-11111-2-2000000000000-1-100-1-10011
χ242222222222-2-2-2-2-2-222-122-12-12-10000-1-1-1-1-1-12200-2-200-2-2000000-2-211-1-111112200000000000011001100-1-1
χ2522222-2-22222-222-2-2-2-22-1-12-12-120000-1-1-1-1-2-21122000000-2-20000-112-211-1-11100002-2-1-1000000001100-1100
χ2622222-2-22222-222-2-2-2-22-1-12-12-120000-1-1-1-1-2-211-2-2000000220000-112-211-1-1110000-221100000000-1-1001-100
χ2722222-2-22222-222-2-2-2-2-122-12-12-10000-1-1-1-111-2-2002200-2-20000002-2-1111-1-1112-2000000000000-1-1001100-11
χ2822222-2-22222-222-2-2-2-2-122-12-12-10000-1-1-1-111-2-200-2-200220000002-2-1111-1-111-220000000000001100-1-1001-1
χ2922222-2-2222-22-2-222-2-22-1-12-12-120000-1-1-1-1-2-21122000000-2-200001-1-221111-1-10000-22-1-10000000011001-100
χ3022222-2-2222-22-2-222-2-22-1-12-12-120000-1-1-1-1-2-211-2-20000002200001-1-221111-1-100002-21100000000-1-100-1100
χ3122222-2-2222-22-2-222-2-2-122-12-12-10000-1-1-1-111-2-2002200-2-2000000-221-11111-1-1-22000000000000-1-10011001-1
χ3222222-2-2222-22-2-222-2-2-122-12-12-10000-1-1-1-111-2-200-2-20022000000-221-11111-1-12-20000000000001100-1-100-11
χ3322-2-22002-2-200000000222-2-22-2-222-2-222-2-200002-22-200000022-2-200000000000000002-20000002-200000000
χ3422-2-22002-2-200000000222-2-22-2-222-2-222-2-20000-22-2200000022-2-20000000000000000-22000000-2200000000
χ3522-2-22002-2-200000000222-2-22-2-2-2-22222-2-200002-2-22000000-2-22200000000000000002-2000000-2200000000
χ3622-2-22002-2-200000000222-2-22-2-2-2-22222-2-20000-222-2000000-2-2220000000000000000-220000002-200000000
χ372-22-2200-22-20000000022-2-22-2-222i−2i2i−2i2-2-2200000000002-22i−2i2i−2i2i−2i000000000000000000000000002i−2i2-20000
χ382-22-2200-22-20000000022-2-22-2-222i−2i2i−2i2-2-220000000000-22−2i2i2i−2i2i−2i00000000000000000000000000−2i2i-220000
χ392-22-2200-22-20000000022-2-22-2-22−2i2i−2i2i2-2-2200000000002-2−2i2i−2i2i−2i2i00000000000000000000000000−2i2i2-20000
χ402-22-2200-22-20000000022-2-22-2-22−2i2i−2i2i2-2-220000000000-222i−2i−2i2i−2i2i000000000000000000000000002i−2i-220000
χ412-2-2222-2-2-220000002-222-22-2-22-22i−2i−2i2i2-22-22-22-200002i−2i00002i−2i−2i2i00002-20000000000002i−2i00000000000000
χ422-2-2222-2-2-220000002-222-22-2-22-2−2i2i2i−2i2-22-22-22-20000−2i2i0000−2i2i2i−2i00002-2000000000000−2i2i00000000000000
χ432-2-222-22-2-22000000-2222-22-2-22-22i−2i−2i2i2-22-2-22-220000−2i2i00002i−2i−2i2i0000-22000000000000−2i2i00000000000000
χ442-2-222-22-2-22000000-2222-22-2-22-2−2i2i2i−2i2-22-2-22-2200002i−2i0000−2i2i2i−2i0000-220000000000002i−2i00000000000000
χ45444444444444444444-2-2-2-2-2-2-2-200001111-2-2-2-200000000000000-2-2-2-2111111000000000000000000000000
χ464444444444-4-4-4-4-4-444-2-2-2-2-2-2-2-200001111-2-2-2-200000000000000222211-1-1-1-1000000000000000000000000
χ4744444-4-44444-444-4-4-4-4-2-2-2-2-2-2-2-200001111222200000000000000-22-22-1-111-1-1000000000000000000000000
χ4844444-4-4444-44-4-444-4-4-2-2-2-2-2-2-2-2000011112222000000000000002-22-2-1-1-1-111000000000000000000000000
χ4944-4-44004-4-4000000004-2-2-4242-40000-2-22200004-40000000000000000000000000000-220000000000000000
χ5044-4-44004-4-4000000004-2-2-4242-40000-2-2220000-4400000000000000000000000000002-20000000000000000
χ5144-4-44004-4-400000000-2442-4-2-420000-2-2220000004-40000000000000000000000000000000000-2200000000
χ5244-4-44004-4-400000000-2442-4-2-420000-2-222000000-4400000000000000000000000000000000002-200000000
χ534-44-4400-44-4000000004-22-4-2-4240000-222-20000000000004i−4i000000000000000000000000000000−2i2i000000
χ544-44-4400-44-4000000004-22-4-2-4240000-222-2000000000000−4i4i0000000000000000000000000000002i−2i000000
χ554-44-4400-44-400000000-24-4242-4-20000-222-200000000004-40000000000000000000000000000000000-220000
χ564-44-4400-44-400000000-24-4242-4-20000-222-20000000000-4400000000000000000000000000000000002-20000
χ574-4-4444-4-4-440000004-44-2242-4-2-40000-22-224-4-22000000000000000000-220000000000000000000000000000
χ584-4-4444-4-4-440000004-4-24-4-2-42420000-22-22-224-4000000000000000000-220000000000000000000000000000
χ594-4-4444-4-4-440000004-4-2-22-222-2200001-11-1-22-220000000000000000001-13i−3i3i−3i000000000000000000000000
χ604-4-4444-4-4-440000004-4-2-22-222-2200001-11-1-22-220000000000000000001-1−3i3i−3i3i000000000000000000000000
χ614-4-444-44-4-44000000-444-2242-4-2-40000-22-22-442-20000000000000000002-20000000000000000000000000000
χ624-4-444-44-4-44000000-44-24-4-2-42420000-22-222-2-440000000000000000002-20000000000000000000000000000
χ634-4-444-44-4-44000000-44-2-22-222-2200001-11-12-22-2000000000000000000-113i−3i−3i3i000000000000000000000000
χ644-4-444-44-4-44000000-44-2-22-222-2200001-11-12-22-2000000000000000000-11−3i3i3i−3i000000000000000000000000
χ656666-366-3-3-366-3-3-3-3-3-3000000002222000000000000220000-1-1-1-1000000000000220000-1-1-1-1-1-10000000000
χ666666-366-3-3-366-3-3-3-3-3-300000000-2-2-2-2000000000000-2-200001111000000000000-2-200001111110000000000
χ676666-366-3-3-3-6-63333-3-3000000002222000000000000220000-1-1-1-1000000000000-2-20000-1-111110000000000
χ686666-366-3-3-3-6-63333-3-300000000-2-2-2-2000000000000-2-20000111100000000000022000011-1-1-1-10000000000
χ696666-3-6-6-3-3-36-6-3-33333000000002222000000000000-2-20000-1-1-1-10000000000002-2000011-1-1110000000000
χ706666-3-6-6-3-3-36-6-3-3333300000000-2-2-2-20000000000002200001111000000000000-220000-1-111-1-10000000000
χ716666-3-6-6-3-3-3-6633-3-333000000002222000000000000-2-20000-1-1-1-1000000000000-2200001111-1-10000000000
χ726666-3-6-6-3-3-3-6633-3-33300000000-2-2-2-200000000000022000011110000000000002-20000-1-1-1-1110000000000
χ736-6-66-36-633-30033−3333−33-33000000002i−2i−2i2i0000000000002i−2i0000−iii−i000000000000000000−ii−i3i3−i3i30000000000
χ746-6-66-36-633-30033−3333−33-3300000000−2i2i2i−2i000000000000−2i2i0000i−i−ii000000000000000000i−ii3−i3i3−i30000000000
χ756-6-66-36-633-300−3333−3333-33000000002i−2i−2i2i0000000000002i−2i0000−iii−i000000000000000000−iii3−i3i3−i30000000000
χ766-6-66-36-633-300−3333−3333-3300000000−2i2i2i−2i000000000000−2i2i0000i−i−ii000000000000000000i−i−i3i3−i3i30000000000
χ776-6-66-3-6633-30033−33−33333-3000000002i−2i−2i2i000000000000−2i2i0000−iii−i000000000000000000i−i−i3i3i3−i30000000000
χ786-6-66-3-6633-30033−33−33333-300000000−2i2i2i−2i0000000000002i−2i0000i−i−ii000000000000000000−iii3−i3−i3i30000000000
χ796-6-66-3-6633-300−333333−333-3000000002i−2i−2i2i000000000000−2i2i0000−iii−i000000000000000000i−ii3−i3−i3i30000000000
χ806-6-66-3-6633-300−333333−333-300000000−2i2i2i−2i0000000000002i−2i0000i−i−ii000000000000000000−ii−i3i3i3−i30000000000
χ8188-8-88008-8-800000000-4-4-444-444000022-2-20000000000000000000000000000000000000000000000000000
χ828-88-8800-88-800000000-4-444-444-400002-2-220000000000000000000000000000000000000000000000000000
χ831212-12-12-600-666000000000000000044-4-4000000000000000000-2-2220000000000000000000000000000000000
χ841212-12-12-600-6660000000000000000-4-44400000000000000000022-2-20000000000000000000000000000000000
χ8512-1212-12-6006-6600000000000000004i−4i4i−4i000000000000000000−2i2i−2i2i0000000000000000000000000000000000
χ8612-1212-12-6006-660000000000000000−4i4i−4i4i0000000000000000002i−2i2i−2i0000000000000000000000000000000000

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