Finite Group Databasebeta

← Group #11781851

Character table — Group #11781851

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222222244444444444444444888888888888888888888888242424242424242424242424363636364848484848487272
order12223344446666663466612121212121212121212121224666666661212121212121212121212121212888824242424242424248888441212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ92222222-22-22222222-22222-2-2-2-22-2-2-2-2222-222222222-2-2-2-2-2-222-2-2-2-2-2-2000000000000000000000000
χ102222222-22-22222222-22222-2-2-2-22-2-2-2-222-22-2-2-2-2-2-2-2-2-22222-222-2-22222000000000000000000000000
χ11222222-22-222222222-2222-22222-22222-2-20000000000-20000-2-2-2-2-2000000000000000022-2-200000000
χ12222222-22-222222222-2222-22222-22222-2-20000000000-20000-2-2-2-2-20000000000000000-2-22200000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000200002-2-222000000000000000000000000002i−2i
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000200002-2-22200000000000000000000000000−2i2i
χ1522222-122222-12-12-1-12-1-1-1222-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-100220000-1-1-1-100000200-1-100
χ1622222-122222-12-12-1-12-1-1-1222-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-100-2-20000111100000-2001100
χ1722222-122222-12-12-1-12-1-1-1222-1-1-1-1-1-1-12-1-2-2-2-2111111-1-2-2112-1-1-1-1111100220000-1-1-1-100000-2001100
χ1822222-122222-12-12-1-12-1-1-1222-1-1-1-1-1-1-12-1-2-2-2-2111111-1-2-2112-1-1-1-1111100-2-20000111100000200-1-100
χ1922222-12-22-22-12-12-1-1-2-1-1-12-2-211-111112-12-222-1-1-1-1-1-11-2-211-2-1-111111100000000−i3−i3i3i300000000−i3i300
χ2022222-12-22-22-12-12-1-1-2-1-1-12-2-211-111112-12-222-1-1-1-1-1-11-2-211-2-1-111111100000000i3i3−i3−i300000000i3−i300
χ2122222-12-22-22-12-12-1-1-2-1-1-12-2-211-111112-1-22-2-2111111122-1-1-2-1-111-1-1-1-100000000−i3−i3i3i300000000i3−i300
χ2222222-12-22-22-12-12-1-1-2-1-1-12-2-211-111112-1-22-2-2111111122-1-1-2-1-111-1-1-1-100000000i3i3−i3−i300000000−i3i300
χ232222-122222-12-12-12-12-1-1-1-1-1-1222-1-1-1-1-1222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-12200-1-1-1-10000000020-1-10000
χ242222-122222-12-12-12-12-1-1-1-1-1-1222-1-1-1-1-1222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-1-2-200111100000000-20110000
χ252222-122222-12-12-12-12-1-1-1-1-1-1222-1-1-1-1-12-2-211-2-21111211-2-2-1-1-1-1-111112200-1-1-1-100000000-20110000
χ262222-122222-12-12-12-12-1-1-1-1-1-1222-1-1-1-1-12-2-211-2-21111211-2-2-1-1-1-1-11111-2-20011110000000020-1-10000
χ272222-122-22-2-12-12-12-1-2-1-1-1-111-2-221111-122-2-1-122-1-1-1-1-211-2-21-1-11111110000−i3−i3i3i30000000000−i3i30000
χ282222-122-22-2-12-12-12-1-2-1-1-1-111-2-221111-122-2-1-122-1-1-1-1-211-2-21-1-11111110000i3i3−i3−i30000000000i3−i30000
χ292222-122-22-2-12-12-12-1-2-1-1-1-111-2-221111-12-2211-2-21111-2-1-1221-1-111-1-1-1-10000−i3−i3i3i30000000000i3−i30000
χ302222-122-22-2-12-12-12-1-2-1-1-1-111-2-221111-12-2211-2-21111-2-1-1221-1-111-1-1-1-10000i3i3−i3−i30000000000−i3i30000
χ3122-2-2220-202-2-222-2-220-2-2202-22-2022-2-200000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002-200000000
χ3222-2-2220-202-2-222-2-220-2-2202-22-2022-2-200000000000000000000000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i200-2200000000
χ3322-2-2220-202-2-222-2-220-2-2202-22-2022-2-200000000000000000000000000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i200-2200000000
χ3422-2-2220-202-2-222-2-220-2-2202-22-2022-2-200000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002-200000000
χ3544444-2-44-444-24-24-2-2-4-2-2-2-444-2-22-2-2-2-2-42000000000020000-422220000000000000000000000000000
χ3644444-2-4-4-4-44-24-24-2-24-2-2-2-4-4-42222222-420000000000-20000422-2-20000000000000000000000000000
χ374444-24-44-44-24-24-24-2-4-2-2-22-2-244-4-2-2-2-22-40000000000-40000222220000000000000000000000000000
χ384444-24-4-4-4-4-24-24-24-24-2-2-2222-4-4-422222-4000000000040000-222-2-20000000000000000000000000000
χ394444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-244-2-2-2-21111-2-2-2-2-2-211111111000000000000000000000000
χ404444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-2-4-42222-1-1-1-1-22222-21111-1-1-1-1000000000000000000000000
χ414444-2-24-44-4-2-2-2-2-2-21-4111-22222-2-1-1-1-1-2-24-4-2-2-2-2111122222211-1-1-1-1-1-1000000000000000000000000
χ424444-2-24-44-4-2-2-2-2-2-21-4111-22222-2-1-1-1-1-2-2-442222-1-1-1-12-2-2-2-2211-1-11111000000000000000000000000
χ434444-2-2-44-44-2-2-2-2-2-21-41112-2-2-2-2211112200000033-3-3200002-1-1-1-133-3-3000000000000000000000000
χ444444-2-2-44-44-2-2-2-2-2-21-41112-2-2-2-22111122000000-3-333200002-1-1-1-1-3-333000000000000000000000000
χ454444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-12200000033-3-3-20000-2-1-111-3-333000000000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-122000000-3-333-20000-2-1-11133-3-3000000000000000000000000
χ4744-4-444040-4-4-444-4-440-4-440-44-440-4-44400000000000000000000000000000000000000000000000000
χ4844-4-44-2040-4-424-2-42-2022-20-442-2022-2-200000000000000000000000000000000006−6−66000000000000
χ4944-4-44-2040-4-424-2-42-2022-20-442-2022-2-20000000000000000000000000000000000−666−6000000000000
χ5044-4-44-20-404-424-2-42-2022-204-4-220-2-2220000000000000000000000000000−2i22i20000i2−i2i2−i2000000000000
χ5144-4-44-20-404-424-2-42-2022-204-4-220-2-22200000000000000000000000000002i2−2i20000−i2i2−i2i2000000000000
χ5244-4-4-24040-42-4-242-4-2022-202-2-44022-2-20000000000000000000000000000006−6−660000000000000000
χ5344-4-4-24040-42-4-242-4-2022-202-2-44022-2-2000000000000000000000000000000−666−60000000000000000
χ5444-4-4-240-4042-4-242-4-2022-20-224-40-2-22200000000000000000000000000−2i22i200i2−i2i2−i20000000000000000
χ5544-4-4-240-4042-4-242-4-2022-20-224-40-2-222000000000000000000000000002i2−2i200−i2i2−i2i20000000000000000
χ564-44-4440000-44-4-44-4404-4-4000000000000000000000000000000000000000000000000−2i22i20000000000
χ574-44-4440000-44-4-44-4404-4-40000000000000000000000000000000000000000000000002i2−2i20000000000
χ584-4-444440-404-4-4-4-4440-44-44000040000-4-400000000000000004-4000000000000000000000000000000
χ594-4-4444-40404-4-4-4-4440-44-4-40000-40000440000000000000000-44000000000000000000000000000000
χ604-4-444-240-4042-42-4-2-202-2240000-20000-42000000000000023−230-220023−2323−23000000000000000000000000
χ614-4-444-240-4042-42-4-2-202-2240000-20000-420000000000000−23230-2200−2323−2323000000000000000000000000
χ624-4-444-2-404042-42-4-2-202-22-40000200004-20000−2i32i3−2i32i3−2i32i30000002-2000000000000000000000000000000
χ634-4-444-2-404042-42-4-2-202-22-40000200004-200002i3−2i32i3−2i32i3−2i30000002-2000000000000000000000000000000
χ644-4-44-2440-40-2-42-424-202-22-20000400002-400−2i32i300−2i32i32i3−2i3000000-22000000000000000000000000000000
χ654-4-44-2440-40-2-42-424-202-22-20000400002-4002i3−2i3002i3−2i3−2i32i3000000-22000000000000000000000000000000
χ664-4-44-24-4040-2-42-424-202-2220000-40000-240000000000023−230002-20023−23−2323000000000000000000000000
χ674-4-44-24-4040-2-42-424-202-2220000-40000-2400000000000−23230002-200−232323−23000000000000000000000000
χ684-4-44-2-240-40-22222-210-11-1-20000-23i−3i3i−3i2200−2i32i300i3−i3−i3i300023−2301-13i−3i−33−33000000000000000000000000
χ694-4-44-2-240-40-22222-210-11-1-20000-23i−3i3i−3i22002i3−2i300−i3i3i3−i3000−232301-13i−3i3−33−3000000000000000000000000
χ704-4-44-2-240-40-22222-210-11-1-20000-2−3i3i−3i3i2200−2i32i300i3−i3−i3i3000−232301-1−3i3i3−33−3000000000000000000000000
χ714-4-44-2-240-40-22222-210-11-1-20000-2−3i3i−3i3i22002i3−2i300−i3i3i3−i300023−2301-1−3i3i−33−33000000000000000000000000
χ724-4-44-2-2-4040-22222-210-11-12000023i−3i3i−3i-2-20000−2i32i3i3−i3i3−i3023−23000-11−3i3i−333−3000000000000000000000000
χ734-4-44-2-2-4040-22222-210-11-12000023i−3i3i−3i-2-200002i3−2i3−i3i3−i3i30−2323000-11−3i3i3−3−33000000000000000000000000
χ744-4-44-2-2-4040-22222-210-11-1200002−3i3i−3i3i-2-20000−2i32i3i3−i3i3−i30−2323000-113i−3i3−3−33000000000000000000000000
χ754-4-44-2-2-4040-22222-210-11-1200002−3i3i−3i3i-2-200002i3−2i3−i3i3−i3i3023−23000-113i−3i−333−3000000000000000000000000
χ7688-8-8-4-4080-844-4-44420-2-2204-44-40-2-22200000000000000000000000000000000000000000000000000
χ7788-8-8-4-40-80844-4-44420-2-220-44-44022-2-200000000000000000000000000000000000000000000000000
χ788-88-88-40000-8-4-8484-40-444000000000000000000000000000000000000000000000000000000000000
χ798-88-8-480000484-8-4-8-40-444000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-400004-444-44202-2-20000006i−6i−6i6i00000000000000000000000000000000000000000000000000
χ818-88-8-4-400004-444-44202-2-2000000−6i6i6i−6i00000000000000000000000000000000000000000000000000

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