Finite Group Databasebeta

← Group #11866147

Character table — Group #11866147

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444444444888888888888888888888818181818181824242424242424242424242424242424363636363648484848
order12223344446666663444446661212121212121212121212121212121212121212121212121212121212121212121222444422448888242424242424242422444661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-11-111-1-11111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-1-1-11-11
χ5111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ6111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-11-1-1-1-1-1-1
χ7111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1111111-1111-11-1
χ8111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-111-111-11-11
χ91111111-1-111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-11-11-111-1-111-1-1-1-1-11111-1-1
χ101111111-1-111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-11-11-1-111-1-111-1-1-111-1-111
χ111111111-1-111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11-1-111-1-1111-1-1-1-111111-1-11-1-11
χ121111111-1-111111111-111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-111-1-111-1-1-11111-1-1111-1-1-111-1
χ131111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-11-11-1-111-1-11111-1-1-111-1-1
χ141111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1111-11-111-1-111-1-111-1-1-1-1-111
χ151111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11-1-11-111-1-1-11111-1-1-1-11111-1-11
χ161111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-111-11-1-1111-1-1-1-111-1-1111-111-1
χ17222222-222-22222222-200002222222-2-22222-2-2-2-200000000-2-2-2-20000000022-2-2-2-20000000000000000002000000
χ18222222-222-22222222-200002222222-2-22222-2-2-2-200000000-2-2-2-200000000-2-22222000000000000000000-2000000
χ19222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-222000000002222-2-2000000000000000000-2000000
χ20222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-22200000000-2-2-2-2220000000000000000002000000
χ2122222-122222-12-12-1-122222-1-1-122-1-12-1-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000020200220000-1-1-1-1000000-10-1
χ2222222-122222-12-12-1-122222-1-1-122-1-12-1-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000-20-200-2-200001111000000101
χ2322222-122222-12-12-1-12-2-2-2-2-1-1-122-1-12-1-1-1-1-12-12-1-2-211-2-211-1-1-1-111111111000000020200-2-200001111000000-10-1
χ2422222-122222-12-12-1-12-2-2-2-2-1-1-122-1-12-1-1-1-1-12-12-1-2-211-2-211-1-1-1-1111111110000000-20-200220000-1-1-1-1000000101
χ2522222-12-2-222-12-12-1-1-222-2-2-1-1-1-2-2112-111112-1-2122-1-1-2-211-1-111-1-1-1-11111000000020-2002-20000-1-111000000-101
χ2622222-12-2-222-12-12-1-1-222-2-2-1-1-1-2-2112-111112-1-2122-1-1-2-211-1-111-1-1-1-111110000000-20200-22000011-1-100000010-1
χ2722222-12-2-222-12-12-1-1-2-2-222-1-1-1-2-2112-111112-1-21-2-21122-1-1-1-1111111-1-1-1-1000000020-200-22000011-1-1000000-101
χ2822222-12-2-222-12-12-1-1-2-2-222-1-1-1-2-2112-111112-1-21-2-21122-1-1-1-1111111-1-1-1-10000000-202002-20000-1-11100000010-1
χ292222-122222-12-12-12-122222-1-1-1-1-122-12-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000020202200-1-1-1-1000000000-10-10
χ302222-122222-12-12-12-122222-1-1-1-1-122-12-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000-20-20-2-20011110000000001010
χ312222-122222-12-12-12-12-2-2-2-2-1-1-1-1-122-12-1-1-1-1-12-1211-2-211-2-2-1-1-1-1111111110000002020-2-2001111000000000-10-10
χ322222-122222-12-12-12-12-2-2-2-2-1-1-1-1-122-12-1-1-1-1-12-1211-2-211-2-2-1-1-1-111111111000000-20-202200-1-1-1-10000000001010
χ332222-122-2-22-12-12-12-1-222-2-2-1-1-111-2-2-121111-121-2-1-12211-2-2-1-111-1-1-1-1111100000020-202-200-1-111000000000-1010
χ342222-122-2-22-12-12-12-1-222-2-2-1-1-111-2-2-121111-121-2-1-12211-2-2-1-111-1-1-1-11111000000-2020-220011-1-100000000010-10
χ352222-122-2-22-12-12-12-1-2-2-222-1-1-111-2-2-121111-121-211-2-2-1-122-1-1111111-1-1-1-100000020-20-220011-1-1000000000-1010
χ362222-122-2-22-12-12-12-1-2-2-222-1-1-111-2-2-121111-121-211-2-2-1-122-1-1111111-1-1-1-1000000-20202-200-1-11100000000010-10
χ372-22-222200-2-2-2-2-222202i−2i00-22-20000220000-2-2002i−2i2i−2i00002-2002i2i−2i−2i00002-2002-200000000000000000002i−2i0000
χ382-22-222200-2-2-2-2-222202i−2i00-22-20000220000-2-2002i−2i2i−2i00002-2002i2i−2i−2i0000-2200-220000000000000000000−2i2i0000
χ392-22-222200-2-2-2-2-22220−2i2i00-22-20000220000-2-200−2i2i−2i2i00002-200−2i−2i2i2i00002-2002-20000000000000000000−2i2i0000
χ402-22-222200-2-2-2-2-22220−2i2i00-22-20000220000-2-200−2i2i−2i2i00002-200−2i−2i2i2i0000-2200-2200000000000000000002i−2i0000
χ412-22-222-2002-2-2-2-22220002-2-22-20000-2-20000220000002-22-2-2200000022-2-22-200-2200000000000000002-20000000
χ422-22-222-2002-2-2-2-22220002-2-22-20000-2-20000220000002-22-2-2200000022-2-2-22002-20000000000000000-220000000
χ432-22-222-2002-2-2-2-2222000-22-22-20000-2-2000022000000-22-22-22000000-2-2222-200-220000000000000000-220000000
χ442-22-222-2002-2-2-2-2222000-22-22-20000-2-2000022000000-22-22-22000000-2-222-22002-200000000000000002-20000000
χ4544444-2-444-44-24-24-2-2-40000-2-2-244-2-2-42-2-2-2-2-42-42000000002222000000000000000000000000000000000000000
χ4644444-2-4-4-4-44-24-24-2-240000-2-2-2-4-422-422222-424-20000000022-2-2000000000000000000000000000000000000000
χ474444-24-444-4-24-24-24-2-40000-2-2-2-2-2442-4-2-2-2-22-42-4000000002222000000000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-24-240000-2-2-222-4-42-422222-4-240000000022-2-2000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-2144444111-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214-4-4-4-4111-2-2-2-2-2-21111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000
χ514444-2-24-4-44-2-2-2-2-2-21-444-4-41112222-2-2-1-1-1-1-2-222-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-21-4-4-4441112222-2-2-1-1-1-1-2-2222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-21-40000111-2-2-2-2221111222200000000-1-1-1-13-33-33-33-30000000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-21-40000111-2-2-2-2221111222200000000-1-1-1-1-33-33-33-330000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2140000111222222-1-1-1-122-2-200000000-1-1113-33-3-33-330000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2140000111222222-1-1-1-122-2-200000000-1-111-33-333-33-30000000000000000000000000000000
χ5744-4-44404i−4i0-4-444-4-4400000-4-444i−4i4i−4i004i4i−4i−4i0000000000000000000000000000000000000000000000000000000
χ5844-4-4440−4i4i0-4-444-4-4400000-4-44−4i4i−4i4i00−4i−4i4i4i0000000000000000000000000000000000000000000000000000000
χ5944-4-44-204i−4i0-424-2-42-20000022-24i−4i−2i2i00−2i−2i2i2i000000000000000000000000000000000000000000i6−i66−6000000000
χ6044-4-44-204i−4i0-424-2-42-20000022-24i−4i−2i2i00−2i−2i2i2i000000000000000000000000000000000000000000−i6i6−66000000000
χ6144-4-44-20−4i4i0-424-2-42-20000022-2−4i4i2i−2i002i2i−2i−2i000000000000000000000000000000000000000000i6−i6−66000000000
χ6244-4-44-20−4i4i0-424-2-42-20000022-2−4i4i2i−2i002i2i−2i−2i000000000000000000000000000000000000000000−i6i66−6000000000
χ6344-4-4-2404i−4i02-4-242-4-20000022-2−2i2i4i−4i00−2i−2i2i2i00000000000000000000000000000000000000i6−i66−60000000000000
χ6444-4-4-2404i−4i02-4-242-4-20000022-2−2i2i4i−4i00−2i−2i2i2i00000000000000000000000000000000000000−i6i6−660000000000000
χ6544-4-4-240−4i4i02-4-242-4-20000022-22i−2i−4i4i002i2i−2i−2i00000000000000000000000000000000000000i6−i6−660000000000000
χ6644-4-4-240−4i4i02-4-242-4-20000022-22i−2i−4i4i002i2i−2i−2i00000000000000000000000000000000000000−i6i66−60000000000000
χ674-44-44-2400-4-42-424-2-204i−4i002-2200004-20000-42004i−4i−2i2i0000-2200−2i−2i2i2i00000000000000000000000000000000000
χ684-44-44-2400-4-42-424-2-20−4i4i002-2200004-20000-4200−4i4i2i−2i0000-22002i2i−2i−2i00000000000000000000000000000000000
χ694-44-44-2-4004-42-424-2-20004-42-220000-4200004-20000004-4-222-2000000-2-2220000000000000000000000000000000
χ704-44-44-2-4004-42-424-2-2000-442-220000-4200004-2000000-442-22-200000022-2-20000000000000000000000000000000
χ714-44-4-24400-42-42-4-24-204i−4i002-220000-2400002-400−2i2i4i−4i0000-2200−2i−2i2i2i00000000000000000000000000000000000
χ724-44-4-24400-42-42-4-24-20−4i4i002-220000-2400002-4002i−2i−4i4i0000-22002i2i−2i−2i00000000000000000000000000000000000
χ734-44-4-24-40042-42-4-24-20004-42-2200002-40000-24000000-224-42-2000000-2-2220000000000000000000000000000000
χ744-44-4-24-40042-42-4-24-2000-442-2200002-40000-240000002-2-442-200000022-2-20000000000000000000000000000000
χ754-44-4-2-2400-42222-2-2104i−4i00-11-10000-2-23i−3i3i−3i2200−2i2i−2i2i00001-13i−3iii−i−i3-3-330000000000000000000000000000000
χ764-44-4-2-2400-42222-2-2104i−4i00-11-10000-2-2−3i3i−3i3i2200−2i2i−2i2i00001-1−3i3iii−i−i-333-30000000000000000000000000000000
χ774-44-4-2-2400-42222-2-210−4i4i00-11-10000-2-23i−3i3i−3i22002i−2i2i−2i00001-13i−3i−i−iii-333-30000000000000000000000000000000
χ784-44-4-2-2400-42222-2-210−4i4i00-11-10000-2-2−3i3i−3i3i22002i−2i2i−2i00001-1−3i3i−i−iii3-3-330000000000000000000000000000000
χ794-44-4-2-2-40042222-2-210004-4-11-10000223i−3i3i−3i-2-2000000-22-22-11−3i3i3i−3i−3i3i11-1-10000000000000000000000000000000
χ804-44-4-2-2-40042222-2-210004-4-11-1000022−3i3i−3i3i-2-2000000-22-22-113i−3i−3i3i3i−3i11-1-10000000000000000000000000000000
χ814-44-4-2-2-40042222-2-21000-44-11-10000223i−3i3i−3i-2-20000002-22-2-11−3i3i−3i3i3i−3i-1-1110000000000000000000000000000000
χ824-44-4-2-2-40042222-2-21000-44-11-1000022−3i3i−3i3i-2-20000002-22-2-113i−3i3i−3i−3i3i-1-1110000000000000000000000000000000
χ834-4-4444000044-4-4-4-44000004-4-40000000000000000000000000000000000004i−4i000000000000000000000000000
χ844-4-4444000044-4-4-4-44000004-4-4000000000000000000000000000000000000−4i4i000000000000000000000000000
χ8588-8-8-4-408i−8i044-4-444200000-2-22−4i4i−4i4i002i2i−2i−2i0000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-40−8i8i044-4-444200000-2-224i−4i4i−4i00−2i−2i2i2i0000000000000000000000000000000000000000000000000000000
χ878-8-888-400008-4-84-84-400000-44400000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-480000-484-84-8-400000-44400000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-40000-4-444442000002-2-20000006-6-660000000000000000000000000000000000000000000000000000000
χ908-8-88-4-40000-4-444442000002-2-2000000-666-60000000000000000000000000000000000000000000000000000000

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