Finite Group Databasebeta

← Group #11867157

Character table — Group #11867157

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444488888888121212121212121212121212121212121212121212121212161616161616161618181818242424243636484848487272
order1222223344446666663666666612121212121212122466121212128888888824242424242424242424242424242424666612121212224422442466121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-11-11-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-11-1-1-11-11-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ51111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11-1111
χ71111111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11-11-111
χ81111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111-1-1111-1-111111111-1-1-1-111111-1-1-1-1111-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-11
χ101111-1-1111-1-111111111-1-1-1-111111-1-1-1-1111-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-111-1
χ111111-1-1111-1-111111111-1-1-1-111111-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-111-11-1
χ121111-1-1111-1-111111111-1-1-1-111111-1-1-1-1111-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-11
χ131111-1-1111-1-111111111-1-1-1-111111-1-1-1-111-11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111-1
χ141111-1-1111-1-111111111-1-1-1-111111-1-1-1-111-11-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-111-1-11
χ151111-1-1111-1-111111111-1-1-1-111111-1-1-1-111-11-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111-1-11-11
χ161111-1-1111-1-111111111-1-1-1-111111-1-1-1-111-11-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-11-1
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-20022-2-2-2-20000000000000000000000000000000022-2-200002-2000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-20022-2-2-2-200000000000000000000000000000000-2-2220000-22000000
χ192222222-122222-12-12-1-122-1-1-1-1-12-122-1-12-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-12-1-1-12-1-1-100000202000-10-100
χ202222222-122222-12-12-1-122-1-1-1-1-12-122-1-12-122-1-1-1-1-1-10000-2-2-2-200000000111111112-1-1-12-1-1-100000-20-200010100
χ212222222-122222-12-12-1-122-1-1-1-1-12-122-1-12-1-2-2-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-2111-211100000-20-200010100
χ222222222-122222-12-12-1-122-1-1-1-1-12-122-1-12-1-2-2-1-1-1-1-1-10000-2-2-2-20000000011111111-2111-211100000202000-10-100
χ23222222-122222-12-12-12-1-1-122-1-1-1-12-1-122-1222-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-12-1-1-12-1-10000202000-10-1000
χ24222222-122222-12-12-12-1-1-122-1-1-1-12-1-122-1222-1-1-1-1-1-1-2-2-2-200001111111100000000-12-1-1-12-1-10000-20-2000101000
χ25222222-122222-12-12-12-1-1-122-1-1-1-12-1-122-12-2-2-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000001-2111-2110000-20-2000101000
χ26222222-122222-12-12-12-1-1-122-1-1-1-12-1-122-12-2-2-1-1-1-1-1-1-2-2-2-2000011111111000000001-2111-2110000202000-10-1000
χ272222-2-222-222-22222222-2-2-2-2222-2-22222-2-200-2-2-2-2220000000000000000000000000000000022-2-20000-22000000
χ282222-2-222-222-22222222-2-2-2-2222-2-22222-2-200-2-2-2-22200000000000000000000000000000000-2-22200002-2000000
χ292222-2-22-12-2-222-12-12-1-1-2-211-1-1-12-1-2-2112-12-211-1-111000022-2-200000000-1-1-1-111112-1-1-1-21110000020-2000-10100
χ302222-2-22-12-2-222-12-12-1-1-2-211-1-1-12-1-2-2112-12-211-1-1110000-2-222000000001111-1-1-1-12-1-1-1-211100000-20200010-100
χ312222-2-22-12-2-222-12-12-1-1-2-211-1-1-12-1-2-2112-1-2211-1-111000022-2-200000000-1-1-1-11111-21112-1-1-100000-20200010-100
χ322222-2-22-12-2-222-12-12-1-1-2-211-1-1-12-1-2-2112-1-2211-1-1110000-2-222000000001111-1-1-1-1-21112-1-1-10000020-2000-10100
χ332222-2-2-122-2-22-12-12-12-111-2-2-1-1-1-1211-2-2-122-211-1-11122-2-20000-1-1-1-1111100000000-12-1-11-211000020-2000-101000
χ342222-2-2-122-2-22-12-12-12-111-2-2-1-1-1-1211-2-2-122-211-1-111-2-22200001111-1-1-1-100000000-12-1-11-2110000-20200010-1000
χ352222-2-2-122-2-22-12-12-12-111-2-2-1-1-1-1211-2-2-12-2211-1-11122-2-20000-1-1-1-11111000000001-211-12-1-10000-20200010-1000
χ362222-2-2-122-2-22-12-12-12-111-2-2-1-1-1-1211-2-2-12-2211-1-111-2-22200001111-1-1-1-1000000001-211-12-1-1000020-2000-101000
χ372-2-220022200-2-2-222-2-220000-22-2220000-2-200002-200002i−2i002i−2i00002i2i−2i−2i00002i2i−2i−2i000000002-22-2000000000000
χ382-2-220022200-2-2-222-2-220000-22-2220000-2-200002-200002i−2i00−2i2i00002i2i−2i−2i0000−2i−2i2i2i00000000-22-22000000000000
χ392-2-220022200-2-2-222-2-220000-22-2220000-2-200002-20000−2i2i002i−2i0000−2i−2i2i2i00002i2i−2i−2i00000000-22-22000000000000
χ402-2-220022200-2-2-222-2-220000-22-2220000-2-200002-20000−2i2i00−2i2i0000−2i−2i2i2i0000−2i−2i2i2i000000002-22-2000000000000
χ412-2-220022-2002-2-222-2-220000-22-2-2-20000220000-22002-2002-20022-2-2000022-2-20000000000002-2-22000000000000
χ422-2-220022-2002-2-222-2-220000-22-2-2-20000220000-22002-200-220022-2-20000-2-222000000000000-222-2000000000000
χ432-2-220022-2002-2-222-2-220000-22-2-2-20000220000-2200-22002-200-2-222000022-2-2000000000000-222-2000000000000
χ442-2-220022-2002-2-222-2-220000-22-2-2-20000220000-2200-2200-2200-2-2220000-2-2220000000000002-2-22000000000000
χ454444444-2-4-4-4-44-24-24-2-244-2-2-2-2-2-42-4-422-4200-2-22222000000000000000000000000000000000000000000000000
χ46444444-24-4-4-4-4-24-24-24-2-2-244-2-2-22-422-4-42-400-2-22222000000000000000000000000000000000000000000000000
χ47444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-244111111000000000000000000000000-2-211-2-2110000000000000000
χ48444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-2-4-411111100000000000000000000000022-1-122-1-10000000000000000
χ49444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222220011-1-1-1-1000000000000000000000000003-3003-30000000000000000
χ50444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222220011-1-1-1-100000000000000000000000000-3300-330000000000000000
χ514444-4-44-2-444-44-24-24-2-2-4-422-2-2-2-4244-2-2-42002222-2-2000000000000000000000000000000000000000000000000
χ524444-4-4-24-444-4-24-24-24-222-4-4-2-2-22-4-2-2442-4002222-2-2000000000000000000000000000000000000000000000000
χ534444-4-4-2-24-4-44-2-2-2-2-2-212222111-2-22222-2-24-4-1-111-1-1000000000000000000000000-2-21122-1-10000000000000000
χ544444-4-4-2-24-4-44-2-2-2-2-2-212222111-2-22222-2-2-44-1-111-1-100000000000000000000000022-1-1-2-2110000000000000000
χ554444-4-4-2-2-444-4-2-2-2-2-2-21222211122-2-2-2-22200-1-1-1-111000000000000000000000000003-300-330000000000000000
χ564444-4-4-2-2-444-4-2-2-2-2-2-21222211122-2-2-2-22200-1-1-1-11100000000000000000000000000-33003-30000000000000000
χ5744-4-44-4440000-4-4-4-44444-44-4-4-4400000000004-40000000000000000000000000000000000000000000000000000
χ5844-4-44-44-20000-42-424-2-24-4-2222-20000000000-2200000000000000000000i6−i6i6−i6i6−i6i6−i6000000000000000000000000
χ5944-4-44-44-20000-42-424-2-24-4-2222-20000000000-2200000000000000000000−i6i6−i6i6−i6i6−i6i6000000000000000000000000
χ6044-4-44-4-2400002-42-4-24-2-224-422-20000000000-22000000000000i6−i6i6−i6i6−i6i6−i600000000000000000000000000000000
χ6144-4-44-4-2400002-42-4-24-2-224-422-20000000000-22000000000000−i6i6−i6i6−i6i6−i6i600000000000000000000000000000000
χ6244-4-4-44440000-4-4-4-4444-44-44-4-440000000000-440000000000000000000000000000000000000000000000000000
χ6344-4-4-444-20000-42-424-2-2-442-222-200000000002-200000000000000000000i6−i6i6−i6−i6i6−i6i6000000000000000000000000
χ6444-4-4-444-20000-42-424-2-2-442-222-200000000002-200000000000000000000−i6i6−i6i6i6−i6i6−i6000000000000000000000000
χ6544-4-4-44-2400002-42-4-24-22-2-4422-200000000002-2000000000000i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000
χ6644-4-4-44-2400002-42-4-24-22-2-4422-200000000002-2000000000000−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000
χ674-44-4004404i−4i044-4-4-4-4400004-4-4004i−4i4i−4i000000004i−4i000000000000000000000000000000000000000000000000
χ684-44-400440−4i4i044-4-4-4-4400004-4-400−4i4i−4i4i00000000−4i4i000000000000000000000000000000000000000000000000
χ694-44-4004-204i−4i04-2-42-42-20000-222004i−4i−2i2i00000000−2i2i0000000000000000i6−i6−i6i66−6−66000000000000000000000000
χ704-44-4004-204i−4i04-2-42-42-20000-222004i−4i−2i2i00000000−2i2i0000000000000000−i6i6i6−i6−666−6000000000000000000000000
χ714-44-4004-20−4i4i04-2-42-42-20000-22200−4i4i2i−2i000000002i−2i0000000000000000i6−i6−i6i6−666−6000000000000000000000000
χ724-44-4004-20−4i4i04-2-42-42-20000-22200−4i4i2i−2i000000002i−2i0000000000000000−i6i6i6−i66−6−66000000000000000000000000
χ734-44-400-2404i−4i0-242-42-4-20000-22200−2i2i4i−4i00000000−2i2i00000000i6−i6−i6i6−666−600000000000000000000000000000000
χ744-44-400-2404i−4i0-242-42-4-20000-22200−2i2i4i−4i00000000−2i2i00000000−i6i6i6−i66−6−6600000000000000000000000000000000
χ754-44-400-240−4i4i0-242-42-4-20000-222002i−2i−4i4i000000002i−2i00000000i6−i6−i6i66−6−6600000000000000000000000000000000
χ764-44-400-240−4i4i0-242-42-4-20000-222002i−2i−4i4i000000002i−2i00000000−i6i6i6−i6−666−600000000000000000000000000000000
χ774-4-44004-2400-4-424-2-42-200002-224-20000-420000-22000000004i−4i000000000000−2i−2i2i2i000000000000000000000000
χ784-4-44004-2400-4-424-2-42-200002-224-20000-420000-2200000000−4i4i0000000000002i2i−2i−2i000000000000000000000000
χ794-4-44004-2-4004-424-2-42-200002-22-4200004-200002-20000004-40000000000-2-2220000000000000000000000000000
χ804-4-44004-2-4004-424-2-42-200002-22-4200004-200002-2000000-44000000000022-2-20000000000000000000000000000
χ814-4-4400-24400-42-4-242-4-200002-22-2400002-40000-2200004i−4i00000000−2i−2i2i2i00000000000000000000000000000000
χ824-4-4400-24400-42-4-242-4-200002-22-2400002-40000-220000−4i4i000000002i2i−2i−2i00000000000000000000000000000000
χ834-4-4400-24-40042-4-242-4-200002-222-40000-2400002-2004-4000000-2-222000000000000000000000000000000000000
χ844-4-4400-24-40042-4-242-4-200002-222-40000-2400002-200-4400000022-2-2000000000000000000000000000000000000
χ8588-8-88-8-4-400004444-4-42-44-44-2-2200000000002-20000000000000000000000000000000000000000000000000000
χ8688-8-8-88-4-400004444-4-424-44-4-2-220000000000-220000000000000000000000000000000000000000000000000000
χ878-88-800-4-408i−8i0-4-44444200002-2-200−4i4i−4i4i000000002i−2i000000000000000000000000000000000000000000000000
χ888-88-800-4-40−8i8i0-4-44444200002-2-2004i−4i4i−4i00000000−2i2i000000000000000000000000000000000000000000000000
χ898-8-8800-4-4800-844-4-44420000-22-2-4-400004400002-200000000000000000000000000000000000000000000000000
χ908-8-8800-4-4-800844-4-44420000-22-2440000-4-40000-2200000000000000000000000000000000000000000000000000

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