Finite Group Databasebeta

← Group #13181165

Character table — Group #13181165

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112224444444888888888181818183636363636363636363636363636367272112224444444888888888181818183636363636363636363636363636367272
order1223633666663366666664412122224666688122424242461222266666666666666666644121222246666881224242424612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111-1-11-1-1-1-1-1-1111111111111111111111111111-1-11111-1-11-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-1-1-1-1-11-1-1-1-1111111111111111111111111111-1-111-1-1-1-1-1-11-1-1-1-111
χ41111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1
χ511-11111-11-1-1111-111-1-1-1-1-11111-11-111-1-11-1-111-1-11-111-11111-11-1-1111-111-1-1-1-1-11111-11-111-1-11-1-111-1-11-1
χ611-11111-11-1-1111-111-1-1-1-1-11111-1-1111-1-1-11-1-1-111-1111-11111-11-1-1111-111-1-1-1-1-11111-1-1111-1-1-11-1-1-111-11
χ711-11111-11-1-1111-111-1-1-1-1-1111-111-1-1-111-11-1-1-1111-111-11111-11-1-1111-111-1-1-1-1-1111-111-1-1-111-11-1-1-1111-1
χ811-11111-11-1-1111-111-1-1-1-1-1111-11-11-1-1111-1-111-1-1-1111-11111-11-1-1111-111-1-1-1-1-1111-11-11-1-1111-1-111-1-1-11
χ9222222222222222222222-2-2-2-20000000000-2000000222222222222222222222-2-2-2-20000000000-2000000
χ10222-1-122-12222-1-12-1-1-1-1-1-122-1-10000000022-1-1-1-1-100222-1-122-12222-1-12-1-1-1-1-1-122-1-10000000022-1-1-1-1-100
χ11222-1-122-12222-1-12-1-1-1-1-1-122-1-100000000-2-2-1111100222-1-122-12222-1-12-1-1-1-1-1-122-1-100000000-2-2-1111100
χ12222-1-122-12222-1-12-1-1-1-1-1-1-2-211000000000013−33−300222-1-122-12222-1-12-1-1-1-1-1-1-2-211000000000013−33−300
χ13222-1-122-12222-1-12-1-1-1-1-1-1-2-21100000000001−33−3300222-1-122-12222-1-12-1-1-1-1-1-1-2-21100000000001−33−3300
χ1422-22222-22-2-2222-222-2-2-2-22-2-2-20000000000200000022-22222-22-2-2222-222-2-2-2-22-2-2-200000000002000000
χ1522-2-1-12212-2-22-1-1-2-1-111112-2110000000000-13−3−330022-2-1-12212-2-22-1-1-2-1-111112-2110000000000-13−3−3300
χ1622-2-1-12212-2-22-1-1-2-1-111112-2110000000000-1−333−30022-2-1-12212-2-22-1-1-2-1-111112-2110000000000-1−333−300
χ1722-2-1-12212-2-22-1-1-2-1-11111-22-1-1000000002-21-1-1110022-2-1-12212-2-22-1-1-2-1-11111-22-1-1000000002-21-1-11100
χ1822-2-1-12212-2-22-1-1-2-1-11111-22-1-100000000-22111-1-10022-2-1-12212-2-22-1-1-2-1-11111-22-1-100000000-22111-1-100
χ19444441-24-2-2-211-211-211-2-20000002200000000000-1-1444441-24-2-2-211-211-211-2-20000002200000000000-1-1
χ20444441-24-2-2-211-211-211-2-2000000-2-20000000000011444441-24-2-2-211-211-211-2-2000000-2-20000000000011
χ2144444-214111-2-21-2-21-2-21100002200-1-1-1-100000000044444-214111-2-21-2-21-2-21100002200-1-1-1-1000000000
χ2244444-214111-2-21-2-21-2-2110000-2-200111100000000044444-214111-2-21-2-21-2-2110000-2-2001111000000000
χ2344-4441-2-4-22211-2-11-2-1-1220000002-200000000000-1144-4441-2-4-22211-2-11-2-1-1220000002-200000000000-11
χ2444-4441-2-4-22211-2-11-2-1-122000000-22000000000001-144-4441-2-4-22211-2-11-2-1-122000000-22000000000001-1
χ2544-444-21-41-1-1-2-212-2122-1-100002-200-1-11100000000044-444-21-41-1-1-2-212-2122-1-100002-200-1-111000000000
χ2644-444-21-41-1-1-2-212-2122-1-10000-220011-1-100000000044-444-21-41-1-1-2-212-2122-1-10000-220011-1-1000000000
χ274-404-4440-400-4440-4-400000000000000000000000004-404-4440-400-4440-4-40000000000000000000000000
χ284-404-4-210-13-32-2102-1003-300000000−i3i3−i3i30000000004-404-4-210-13-32-2102-1003-300000000−i3i3−i3i3000000000
χ294-404-4-210-13-32-2102-1003-300000000i3−i3i3−i30000000004-404-4-210-13-32-2102-1003-300000000i3−i3i3−i3000000000
χ304-404-4-210-1-332-2102-100-3300000000−i3i3i3−i30000000004-404-4-210-1-332-2102-100-3300000000−i3i3i3−i3000000000
χ314-404-4-210-1-332-2102-100-3300000000i3−i3−i3i30000000004-404-4-210-1-332-2102-100-3300000000i3−i3−i3i3000000000
χ324-40-22440-400-4-2-202200000023−23000000000000000004-40-22440-400-4-2-202200000023−2300000000000000000
χ334-40-22440-400-4-2-2022000000−2323000000000000000004-40-22440-400-4-2-2022000000−232300000000000000000
χ34888-4-42-4-4-4-4-42-122-12-1-122000000000000000000000888-4-42-4-4-4-4-42-122-12-1-122000000000000000000000
χ35888-4-4-42-4222-42-1-42-122-1-1000000000000000000000888-4-4-42-4222-42-1-42-122-1-1000000000000000000000
χ3688-8-4-42-44-4442-12-2-1211-2-200000000000000000000088-8-4-42-44-4442-12-2-1211-2-2000000000000000000000
χ3788-8-4-4-4242-2-2-42-142-1-2-21100000000000000000000088-8-4-4-4242-2-2-42-142-1-2-211000000000000000000000
χ388-808-82-40400-22-40-2400000000000000000000000008-808-82-40400-22-40-240000000000000000000000000
χ398-80-442-40400-2-1201-2−3i33i3000000000000000000000008-80-442-40400-2-1201-2−3i33i300000000000000000000000
χ408-80-442-40400-2-1201-23i3−3i3000000000000000000000008-80-442-40400-2-1201-23i3−3i300000000000000000000000
χ418-80-44-420-26-642-10-2100-330000000000000000000008-80-44-420-26-642-10-2100-33000000000000000000000
χ428-80-44-420-2-6642-10-21003-30000000000000000000008-80-44-420-2-6642-10-21003-3000000000000000000000
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
χ44111111111111111111111111111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111111
χ451111111111111111111111111-1-111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-11111-1-1
χ461111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111
χ4711-11111-11-1-1111-111-1-1-1-1-11111-11-111-1-11-1-111-1-11-1-1-11-1-1-1-11-111-1-1-11-1-111111-1-1-1-11-11-1-111-111-1-111-11
χ4811-11111-11-1-1111-111-1-1-1-1-11111-1-1111-1-1-11-1-1-111-11-1-11-1-1-1-11-111-1-1-11-1-111111-1-1-1-111-1-1-1111-1111-1-11-1
χ4911-11111-11-1-1111-111-1-1-1-1-1111-111-1-1-111-11-1-1-1111-1-1-11-1-1-1-11-111-1-1-11-1-111111-1-1-11-1-1111-1-11-1111-1-1-11
χ5011-11111-11-1-1111-111-1-1-1-1-1111-11-11-1-1111-1-111-1-1-11-1-11-1-1-1-11-111-1-1-11-1-111111-1-1-11-11-111-1-1-111-1-1111-1
χ51222222222222222222222-2-2-2-20000000000-2000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000002000000
χ52222-1-122-12222-1-12-1-1-1-1-1-122-1-10000000022-1-1-1-1-100-2-2-211-2-21-2-2-2-211-2111111-2-21100000000-2-21111100
χ53222-1-122-12222-1-12-1-1-1-1-1-122-1-100000000-2-2-1111100-2-2-211-2-21-2-2-2-211-2111111-2-21100000000221-1-1-1-100
χ54222-1-122-12222-1-12-1-1-1-1-1-1-2-211000000000013−33−300-2-2-211-2-21-2-2-2-211-211111122-1-10000000000-1−33−3300
χ55222-1-122-12222-1-12-1-1-1-1-1-1-2-21100000000001−33−3300-2-2-211-2-21-2-2-2-211-211111122-1-10000000000-13−33−300
χ5622-22222-22-2-2222-222-2-2-2-22-2-2-200000000002000000-2-22-2-2-2-22-222-2-2-22-2-22222-22220000000000-2000000
χ5722-2-1-12212-2-22-1-1-2-1-111112-2110000000000-13−3−3300-2-2211-2-2-1-222-211211-1-1-1-1-22-1-100000000001−333−300
χ5822-2-1-12212-2-22-1-1-2-1-111112-2110000000000-1−333−300-2-2211-2-2-1-222-211211-1-1-1-1-22-1-1000000000013−3−3300
χ5922-2-1-12212-2-22-1-1-2-1-11111-22-1-1000000002-21-1-11100-2-2211-2-2-1-222-211211-1-1-1-12-21100000000-22-111-1-100
χ6022-2-1-12212-2-22-1-1-2-1-11111-22-1-100000000-22111-1-100-2-2211-2-2-1-222-211211-1-1-1-12-211000000002-2-1-1-11100
χ61444441-24-2-2-211-211-211-2-20000002200000000000-1-1-4-4-4-4-4-12-4222-1-12-1-12-1-122000000-2-20000000000011
χ62444441-24-2-2-211-211-211-2-2000000-2-20000000000011-4-4-4-4-4-12-4222-1-12-1-12-1-1220000002200000000000-1-1
χ6344444-214111-2-21-2-21-2-21100002200-1-1-1-1000000000-4-4-4-4-42-1-4-1-1-122-122-122-1-10000-2-2001111000000000
χ6444444-214111-2-21-2-21-2-2110000-2-2001111000000000-4-4-4-4-42-1-4-1-1-122-122-122-1-100002200-1-1-1-1000000000
χ6544-4441-2-4-22211-2-11-2-1-1220000002-200000000000-11-4-44-4-4-1242-2-2-1-121-1211-2-2000000-22000000000001-1
χ6644-4441-2-4-22211-2-11-2-1-122000000-22000000000001-1-4-44-4-4-1242-2-2-1-121-1211-2-20000002-200000000000-11
χ6744-444-21-41-1-1-2-212-2122-1-100002-200-1-111000000000-4-44-4-42-14-11122-1-22-1-2-2110000-220011-1-1000000000
χ6844-444-21-41-1-1-2-212-2122-1-10000-220011-1-1000000000-4-44-4-42-14-11122-1-22-1-2-21100002-200-1-111000000000
χ694-404-4440-400-4440-4-40000000000000000000000000-440-44-4-404004-4-40440000000000000000000000000
χ704-404-4-210-13-32-2102-1003-300000000−i3i3−i3i3000000000-440-442-101-33-22-10-2100-3300000000i3−i3i3−i3000000000
χ714-404-4-210-13-32-2102-1003-300000000i3−i3i3−i3000000000-440-442-101-33-22-10-2100-3300000000−i3i3−i3i3000000000
χ724-404-4-210-1-332-2102-100-3300000000−i3i3i3−i3000000000-440-442-1013-3-22-10-21003-300000000i3−i3−i3i3000000000
χ734-404-4-210-1-332-2102-100-3300000000i3−i3−i3i3000000000-440-442-1013-3-22-10-21003-300000000−i3i3i3−i3000000000
χ744-40-22440-400-4-2-202200000023−2300000000000000000-4402-2-4-404004220-2-2000000−232300000000000000000
χ754-40-22440-400-4-2-2022000000−232300000000000000000-4402-2-4-404004220-2-200000023−2300000000000000000
χ76888-4-42-4-4-4-4-42-122-12-1-122000000000000000000000-8-8-844-244444-21-2-21-211-2-2000000000000000000000
χ77888-4-4-42-4222-42-1-42-122-1-1000000000000000000000-8-8-8444-24-2-2-24-214-21-2-211000000000000000000000
χ7888-8-4-42-44-4442-12-2-1211-2-2000000000000000000000-8-8844-24-44-4-4-21-221-2-1-122000000000000000000000
χ7988-8-4-4-4242-2-2-42-142-1-2-211000000000000000000000-8-88444-2-4-2224-21-4-2122-1-1000000000000000000000
χ808-808-82-40400-22-40-240000000000000000000000000-880-88-240-4002-2402-40000000000000000000000000
χ818-80-442-40400-2-1201-2−3i33i300000000000000000000000-8804-4-240-40021-20-123i3−3i300000000000000000000000
χ828-80-442-40400-2-1201-23i3−3i300000000000000000000000-8804-4-240-40021-20-12−3i33i300000000000000000000000
χ838-80-44-420-26-642-10-2100-33000000000000000000000-8804-44-202-66-4-2102-1003-3000000000000000000000
χ848-80-44-420-2-6642-10-21003-3000000000000000000000-8804-44-2026-6-4-2102-100-33000000000000000000000

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