Finite Group Databasebeta

← Group #11882261

Character table — Group #11882261

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444888888888888888888888888121212121212121218181818181824242424242424242424242436484848487272
order12223344446666663466612121212121212121212121224666666661212121212121212121212121212888888882244444444242424242424242441212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111111111111111-1-1-1-1111111111-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-111
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1
χ91111111-1-111111111-11111-1-1-1-11-1-1-1-1111-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-11-11-111-1-111-1-1-11-11-1-11
χ101111111-1-111111111-11111-1-1-1-11-1-1-1-1111-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11111-1-111-1
χ111111111-1-111111111-11111-1-1-1-11-1-1-1-1111-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-11111-1-11-111-11-1
χ121111111-1-111111111-11111-1-1-1-11-1-1-1-1111-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-11-11-1-111-1-111-1-11-11-11
χ131111111-1-111111111-11111-1-1-1-11-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-111-1-1111111-1-111-1-11111-1-1-11-1111-1-111-1-1-1-11-111-1
χ141111111-1-111111111-11111-1-1-1-11-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-111-1-1111111-1-1-1-111-1-1-1-111-111-111-1-1-1-1111-111-1-11
χ151111111-1-111111111-11111-1-1-1-11-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-111-1-11111-1-11111-1-1-1-1-1-1111-1-11-1-11111-1-111-1-11-11
χ161111111-1-111111111-11111-1-1-1-11-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-111-1-11111-1-111-1-1111111-1-11-11-1-1-111-1-111-11-11-11-1
χ17222222-222-22222222-2222-22222-22222-2-20000000000-20000-2-2-2-2-200000000000022-2-222000000000000-2000000
χ18222222-222-22222222-2222-22222-22222-2-20000000000-20000-2-2-2-2-2000000000000-2-222-2-20000000000002000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000200002-2-22200000000000022-2-2-2-20000000000002000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000200002-2-222000000000000-2-22222000000000000-2000000
χ2122222-122222-12-12-1-12-1-1-1222-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-10000222200000000220000-1-1-1-1000-1-100
χ2222222-122222-12-12-1-12-1-1-1222-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-2000011110001100
χ2322222-122222-12-12-1-12-1-1-1222-1-1-1-1-1-1-12-1-2-2-2-2111111-1-2-2112-1-1-1-111110000222200000000-2-20000-1-1-1-10001100
χ2422222-122222-12-12-1-12-1-1-1222-1-1-1-1-1-1-12-1-2-2-2-2111111-1-2-2112-1-1-1-111110000-2-2-2-2000000002200001111000-1-100
χ2522222-12-2-222-12-12-1-1-2-1-1-12-2-211-111112-12-222-1-1-1-1-1-11-2-211-2-1-1111111000022-2-2000000002-20000-1-111000-1100
χ2622222-12-2-222-12-12-1-1-2-1-1-12-2-211-111112-12-222-1-1-1-1-1-11-2-211-2-1-11111110000-2-22200000000-22000011-1-10001-100
χ2722222-12-2-222-12-12-1-1-2-1-1-12-2-211-111112-1-22-2-2111111122-1-1-2-1-111-1-1-1-1000022-2-200000000-220000-1-1110001-100
χ2822222-12-2-222-12-12-1-1-2-1-1-12-2-211-111112-1-22-2-2111111122-1-1-2-1-111-1-1-1-10000-2-222000000002-2000011-1-1000-1100
χ292222-122222-12-12-12-12-1-1-1-1-1-1222-1-1-1-1-1222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-1222200000000002200-1-1-1-100000-1-10000
χ302222-122222-12-12-12-12-1-1-1-1-1-1222-1-1-1-1-1222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-200111100000110000
χ312222-122222-12-12-12-12-1-1-1-1-1-1222-1-1-1-1-12-2-211-2-21111211-2-2-1-1-1-1-1111122220000000000-2-200-1-1-1-100000110000
χ322222-122222-12-12-12-12-1-1-1-1-1-1222-1-1-1-1-12-2-211-2-21111211-2-2-1-1-1-1-11111-2-2-2-200000000002200111100000-1-10000
χ332222-122-2-22-12-12-12-1-2-1-1-1-111-2-221111-122-2-1-122-1-1-1-1-211-2-21-1-111111122-2-200000000002-200-1-11100000-110000
χ342222-122-2-22-12-12-12-1-2-1-1-1-111-2-221111-122-2-1-122-1-1-1-1-211-2-21-1-1111111-2-2220000000000-220011-1-1000001-10000
χ352222-122-2-22-12-12-12-1-2-1-1-1-111-2-221111-12-2211-2-21111-2-1-1221-1-111-1-1-1-122-2-20000000000-2200-1-111000001-10000
χ362222-122-2-22-12-12-12-1-2-1-1-1-111-2-221111-12-2211-2-21111-2-1-1221-1-111-1-1-1-1-2-22200000000002-20011-1-100000-110000
χ372-2-222202-20-2-222-2-220-2-2202-22-2022-2-200000000000000000000000000−i2i2−i2i2−i2i2−i2i22-2002-20000−i2i2−i2i2−i2i2−i2i20000000
χ382-2-222202-20-2-222-2-220-2-2202-22-2022-2-200000000000000000000000000−i2i2−i2i2i2−i2i2−i2-2200-220000−i2i2−i2i2i2−i2i2−i20000000
χ392-2-222202-20-2-222-2-220-2-2202-22-2022-2-200000000000000000000000000i2−i2i2−i2−i2i2−i2i2-2200-220000i2−i2i2−i2−i2i2−i2i20000000
χ402-2-222202-20-2-222-2-220-2-2202-22-2022-2-200000000000000000000000000i2−i2i2−i2i2−i2i2−i22-2002-20000i2−i2i2−i2i2−i2i2−i20000000
χ412-2-22220-220-2-222-2-220-2-220-22-220-2-22200000000000000000000000000−i2i2i2−i2−i2i2i2−i22-200-220000−i2i2i2−i2−i2i2i2−i20000000
χ422-2-22220-220-2-222-2-220-2-220-22-220-2-22200000000000000000000000000−i2i2i2−i2i2−i2−i2i2-22002-20000−i2i2i2−i2i2−i2−i2i20000000
χ432-2-22220-220-2-222-2-220-2-220-22-220-2-22200000000000000000000000000i2−i2−i2i2−i2i2i2−i2-22002-20000i2−i2−i2i2−i2i2i2−i20000000
χ442-2-22220-220-2-222-2-220-2-220-22-220-2-22200000000000000000000000000i2−i2−i2i2i2−i2−i2i22-200-220000i2−i2−i2i2i2−i2−i2i20000000
χ4544444-2-444-44-24-24-2-2-4-2-2-2-444-2-22-2-2-2-2-42000000000020000-422220000000000000000000000000000000000000
χ4644444-2-4-4-4-44-24-24-2-24-2-2-2-4-4-42222222-420000000000-20000422-2-20000000000000000000000000000000000000
χ474444-24-444-4-24-24-24-2-4-2-2-22-2-244-4-2-2-2-22-40000000000-40000222220000000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-24-24-2-2-2222-4-4-422222-4000000000040000-222-2-20000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-244-2-2-2-21111-2-2-2-2-2-211111111000000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-2-4-42222-1-1-1-1-22222-21111-1-1-1-1000000000000000000000000000000000
χ514444-2-24-4-44-2-2-2-2-2-21-4111-22222-2-1-1-1-1-2-24-4-2-2-2-2111122222211-1-1-1-1-1-1000000000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-21-4111-22222-2-1-1-1-1-2-2-442222-1-1-1-12-2-2-2-2211-1-11111000000000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-21-41112-2-2-2-2211112200000033-3-3200002-1-1-1-133-3-3000000000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-21-41112-2-2-2-22111122000000-3-333200002-1-1-1-1-3-333000000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-12200000033-3-3-20000-2-1-111-3-333000000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-122000000-3-333-20000-2-1-11133-3-3000000000000000000000000000000000
χ5744-4-4440000-44-4-44-4404-4-400000000000000000000000000000000000000000000004i−4i000000000000000000000
χ5844-4-4440000-44-4-44-4404-4-40000000000000000000000000000000000000000000000−4i4i000000000000000000000
χ594-44-444400-44-4-4-4-4440-44-44000040000-4-400000000000000004-4000000000000000000000000000000000000000
χ604-44-444-40044-4-4-4-4440-44-4-40000-40000440000000000000000-44000000000000000000000000000000000000000
χ614-44-44-2400-442-42-4-2-202-2240000-20000-42000000000000023−230-220023−2323−23000000000000000000000000000000000
χ624-44-44-2400-442-42-4-2-202-2240000-20000-420000000000000−23230-2200−2323−2323000000000000000000000000000000000
χ634-44-44-2-400442-42-4-2-202-22-40000200004-20000−2i32i3−2i32i3−2i32i30000002-2000000000000000000000000000000000000000
χ644-44-44-2-400442-42-4-2-202-22-40000200004-200002i3−2i32i3−2i32i3−2i30000002-2000000000000000000000000000000000000000
χ654-44-4-24400-4-2-42-424-202-22-20000400002-400−2i32i300−2i32i32i3−2i3000000-22000000000000000000000000000000000000000
χ664-44-4-24400-4-2-42-424-202-22-20000400002-4002i3−2i3002i3−2i3−2i32i3000000-22000000000000000000000000000000000000000
χ674-44-4-24-4004-2-42-424-202-2220000-40000-240000000000023−230002-20023−23−2323000000000000000000000000000000000
χ684-44-4-24-4004-2-42-424-202-2220000-40000-2400000000000−23230002-200−232323−23000000000000000000000000000000000
χ694-44-4-2-2400-4-22222-210-11-1-20000-23i−3i3i−3i2200−2i32i300i3−i3−i3i300023−2301-13i−3i−33−33000000000000000000000000000000000
χ704-44-4-2-2400-4-22222-210-11-1-20000-23i−3i3i−3i22002i3−2i300−i3i3i3−i3000−232301-13i−3i3−33−3000000000000000000000000000000000
χ714-44-4-2-2400-4-22222-210-11-1-20000-2−3i3i−3i3i2200−2i32i300i3−i3−i3i3000−232301-1−3i3i3−33−3000000000000000000000000000000000
χ724-44-4-2-2400-4-22222-210-11-1-20000-2−3i3i−3i3i22002i3−2i300−i3i3i3−i300023−2301-1−3i3i−33−33000000000000000000000000000000000
χ734-44-4-2-2-4004-22222-210-11-12000023i−3i3i−3i-2-20000−2i32i3i3−i3i3−i3023−23000-11−3i3i−333−3000000000000000000000000000000000
χ744-44-4-2-2-4004-22222-210-11-12000023i−3i3i−3i-2-200002i3−2i3−i3i3−i3i30−2323000-11−3i3i3−3−33000000000000000000000000000000000
χ754-44-4-2-2-4004-22222-210-11-1200002−3i3i−3i3i-2-20000−2i32i3i3−i3i3−i30−2323000-113i−3i3−3−33000000000000000000000000000000000
χ764-44-4-2-2-4004-22222-210-11-1200002−3i3i−3i3i-2-200002i3−2i3−i3i3−i3i3023−23000-113i−3i−333−3000000000000000000000000000000000
χ774-4-444-204-40-424-2-42-2022-204-4-220-2-222000000000000000000000000000000−2i22i2−2i22i200000000000000i2−i2i2−i20000000
χ784-4-444-204-40-424-2-42-2022-204-4-220-2-2220000000000000000000000000000002i2−2i22i2−2i200000000000000−i2i2−i2i20000000
χ794-4-444-20-440-424-2-42-2022-20-442-2022-2-2000000000000000000000000000000−2i22i22i2−2i200000000000000i2−i2−i2i20000000
χ804-4-444-20-440-424-2-42-2022-20-442-2022-2-20000000000000000000000000000002i2−2i2−2i22i200000000000000−i2i2i2−i20000000
χ814-4-44-2404-402-4-242-4-2022-20-224-40-2-22200000000000000000000000000−2i22i2−2i22i200000000000000i2−i2i2−i200000000000
χ824-4-44-2404-402-4-242-4-2022-20-224-40-2-222000000000000000000000000002i2−2i22i2−2i200000000000000−i2i2−i2i200000000000
χ834-4-44-240-4402-4-242-4-2022-202-2-44022-2-200000000000000000000000000−2i22i22i2−2i200000000000000i2−i2−i2i200000000000
χ844-4-44-240-4402-4-242-4-2022-202-2-44022-2-2000000000000000000000000002i2−2i2−2i22i200000000000000−i2i2i2−i200000000000
χ8588-8-88-40000-8-4-8484-40-444000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-480000484-8-4-8-40-444000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400004-444-44202-2-20000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-400004-444-44202-2-2000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-408-8044-4-44420-2-220-44-44022-2-200000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-40-88044-4-44420-2-2204-44-40-2-22200000000000000000000000000000000000000000000000000000000000

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