Finite Group Databasebeta

← Group #11871266

Character table — Group #11871266

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888121212121212121216161616161616161818181818182424242424242424242424242424242424242424367272
order12222233446666663466666661212121224661212121212122222444466661212121244444466668888121212122424242424242424424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-111
χ711111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111-1-1
χ91111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-11-11-111-1-111-1-111-1-1-1-11
χ101111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11-1-11-1-11111-1-1-1-11111-1
χ111111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-111-111-1-1-1-11111-1-111-1
χ121111-1-111111111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-111-11-11-1-111-1-111-1-111-1-11
χ131111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-11111-1-1-11-1111-1-1-1-111-1-111-11-1
χ141111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-111-1-1-111-1-11111-1-11-11
χ151111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1111-1-111-1-1-1-1111-11
χ161111-1-111111111111-1-1-1-1-11111111-11-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1111-11-1-1-11111-1-111-1-1-11-1
χ1722222222-2-22222222-22222222-2-2-2-20022-2-2-2-2-2-200000000000000002222-2-200000000000000000000-200
χ1822222222-2-22222222-22222222-2-2-2-20022-2-2-2-2-2-20000000000000000-2-2-2-22200000000000000000000200
χ192222222-122-122-1-12-1222-1-1-1-1-122-1-122-1-12-1-1-1-1-1222200002-1-1-12-1-1-1000000-1-1-1-122000000-1-1-1-10000000
χ202222222-122-122-1-12-1222-1-1-1-1-122-1-122-1-12-1-1-1-1-1-2-2-2-200002-1-1-12-1-1-10000001111-2-200000011110000000
χ212222222-122-122-1-12-1222-1-1-1-1-122-1-1-2-2-1-12-1-1-1-1-122220000-2111-2111000000-1-1-1-1-2-200000011110000000
χ222222222-122-122-1-12-1222-1-1-1-1-122-1-1-2-2-1-12-1-1-1-1-1-2-2-2-20000-2111-2111000000111122000000-1-1-1-10000000
χ23222222-12222-1-122-1-12-1-122-1-1-1-1-12222-1-1-12-1-1-1-100002222-12-1-1-12-1-100000000000022-1-1-1-10000-1-1-1-1000
χ24222222-12222-1-122-1-12-1-122-1-1-1-1-12222-1-1-12-1-1-1-10000-2-2-2-2-12-1-1-12-1-1000000000000-2-2111100001111000
χ25222222-12222-1-122-1-12-1-122-1-1-1-1-122-2-2-1-1-12-1-1-1-1000022221-2111-211000000000000-2-2-1-1-1-100001111000
χ26222222-12222-1-122-1-12-1-122-1-1-1-1-122-2-2-1-1-12-1-1-1-10000-2-2-2-21-2111-2110000000000002211110000-1-1-1-1000
χ272222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-222-2-222000000000000000022-2-2-2-200000000000000000000200
χ282222-2-222-2-222222222-2-2-2-2222-2-2-2-200-2-222-2-2220000000000000000-2-2222200000000000000000000-200
χ292222-2-22-122-122-1-12-1-2-2-211-1-1-122-1-12-211-21-1-11122-2-200002-1-1-1-2111000000-1-1112-2000000-1-1110000000
χ302222-2-22-122-122-1-12-1-2-2-211-1-1-122-1-12-211-21-1-111-2-22200002-1-1-1-211100000011-1-1-2200000011-1-10000000
χ312222-2-22-122-122-1-12-1-2-2-211-1-1-122-1-1-2211-21-1-11122-2-20000-21112-1-1-1000000-1-111-2200000011-1-10000000
χ322222-2-22-122-122-1-12-1-2-2-211-1-1-122-1-1-2211-21-1-111-2-2220000-21112-1-1-100000011-1-12-2000000-1-1110000000
χ332222-2-2-12222-1-122-1-1-211-2-2-1-1-1-1-1222-2111-2-1-111000022-2-2-12-1-11-2110000000000002-2-1-1110000-1-111000
χ342222-2-2-12222-1-122-1-1-211-2-2-1-1-1-1-1222-2111-2-1-1110000-2-222-12-1-11-211000000000000-2211-1-1000011-1-1000
χ352222-2-2-12222-1-122-1-1-211-2-2-1-1-1-1-122-22111-2-1-111000022-2-21-211-12-1-1000000000000-22-1-111000011-1-1000
χ362222-2-2-12222-1-122-1-1-211-2-2-1-1-1-1-122-22111-2-1-1110000-2-2221-211-12-1-10000000000002-211-1-10000-1-111000
χ3722-2-200222-2-22-22-2-2200000-22-22-22-20000002-200002-2002i−2i000000002i−2i002i−2i002-20000002i−2i00000000000
χ3822-2-200222-2-22-22-2-2200000-22-22-22-20000002-200002-200−2i2i00000000−2i2i00−2i2i002-2000000−2i2i00000000000
χ3922-2-200222-2-22-22-2-2200000-22-22-22-20000002-20000-22002i−2i00000000−2i2i00−2i2i00-220000002i−2i00000000000
χ4022-2-200222-2-22-22-2-2200000-22-22-22-20000002-20000-2200−2i2i000000002i−2i002i−2i00-22000000−2i2i00000000000
χ4122-2-20022-22-22-22-2-2200000-22-2-22-22000000-22002-2002i−2i00000000002i−2i00−2i2i2-20000002i−2i0000000000000
χ4222-2-20022-22-22-22-2-2200000-22-2-22-22000000-22002-200−2i2i0000000000−2i2i002i−2i2-2000000−2i2i0000000000000
χ4322-2-20022-22-22-22-2-2200000-22-2-22-22000000-2200-22002i−2i0000000000−2i2i002i−2i-220000002i−2i0000000000000
χ4422-2-20022-22-22-22-2-2200000-22-2-22-22000000-2200-2200−2i2i00000000002i−2i00−2i2i-22000000−2i2i0000000000000
χ454444444-2-4-4-244-2-24-2-444-2-2-2-2-2-4-42200-2-2-422222000000000000000000000000000000000000000000000
χ46444444-24-4-44-2-244-2-2-4-2-244-2-2-222-4-400-2-22-42222000000000000000000000000000000000000000000000
χ47444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-24411-2-2111100000000-2-211-2-21100000000000000000000000000000
χ48444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-4-411-2-211110000000022-1-122-1-100000000000000000000000000000
χ49444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222001122-1-1-1-100000000003-3003-300000000000000000000000000000
χ50444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222001122-1-1-1-10000000000-3300-3300000000000000000000000000000
χ514444-4-44-2-4-4-244-2-24-24-4-422-2-2-2-4-42200224-222-2-2000000000000000000000000000000000000000000000
χ524444-4-4-24-4-44-2-244-2-2422-4-4-2-2-222-4-40022-2422-2-2000000000000000000000000000000000000000000000
χ534444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-24-4-1-12211-1-100000000-2-21122-1-100000000000000000000000000000
χ544444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-2-44-1-12211-1-10000000022-1-1-2-21100000000000000000000000000000
χ554444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200-1-1-2-2-1-11100000000003-300-3300000000000000000000000000000
χ564444-4-4-2-2-4-4-2-2-2-2-2-2142222111222200-1-1-2-2-1-1110000000000-33003-300000000000000000000000000000
χ5744-4-4004-24-424-4-22-4-2000002-224-4-22000000-2200004-400000000000000000000-220000000000000000000
χ5844-4-4004-24-424-4-22-4-2000002-224-4-22000000-220000-44000000000000000000002-20000000000000000000
χ5944-4-4004-2-4424-4-22-4-2000002-22-442-20000002-2004-400000000000000000000-22000000000000000000000
χ6044-4-4004-2-4424-4-22-4-2000002-22-442-20000002-200-44000000000000000000002-2000000000000000000000
χ6144-4-400-244-4-4-224-42-2000002-22-224-4000000-22000000004i−4i000000000000000000000000−2i2i00000000000
χ6244-4-400-244-4-4-224-42-2000002-22-224-4000000-2200000000−4i4i0000000000000000000000002i−2i00000000000
χ6344-4-400-24-44-4-224-42-2000002-222-2-440000002-20000004i−4i000000000000000000000000−2i2i0000000000000
χ6444-4-400-24-44-4-224-42-2000002-222-2-440000002-2000000−4i4i0000000000000000000000002i−2i0000000000000
χ654-44-40044004-4-4-4-444000004-4-4000000000000000000000000000000004-40000000000000000000000000
χ664-44-40044004-4-4-4-444000004-4-400000000000000000000000000000000-440000000000000000000000000
χ674-4-444-44400-4-44-44-4404-44-4-4-440000004-4000000000000000000000000000000000000000000000000000
χ684-4-444-44-2002-442-2-4-204-4-2222-2000000-220000000000000000000000000000000000000000i6−i6i6−i60000000
χ694-4-444-44-2002-442-2-4-204-4-2222-2000000-220000000000000000000000000000000000000000−i6i6−i6i60000000
χ704-4-444-4-2400-42-2-442-20-224-422-2000000-22000000000000000000000000000000000000000000006−66−6000
χ714-4-444-4-2400-42-2-442-20-224-422-2000000-2200000000000000000000000000000000000000000000−66−66000
χ724-4-44-444400-4-44-44-440-44-44-4-44000000-44000000000000000000000000000000000000000000000000000
χ734-4-44-444-2002-442-2-4-20-442-222-20000002-20000000000000000000000000000000000000000i6−i6−i6i60000000
χ744-4-44-444-2002-442-2-4-20-442-222-20000002-20000000000000000000000000000000000000000−i6i6i6−i60000000
χ754-4-44-44-2400-42-2-442-202-2-4422-20000002-2000000000000000000000000000000000000000000006−6−66000
χ764-4-44-44-2400-42-2-442-202-2-4422-20000002-200000000000000000000000000000000000000000000−666−6000
χ7788-8-800-4-48-84-44-444200000-22-2-44-440000002-200000000000000000000000000000000000000000000000
χ7888-8-800-4-4-884-44-444200000-22-24-44-4000000-2200000000000000000000000000000000000000000000000
χ798-88-8008-400-4-8-8448-400000-44400000000000000000000000000000000000000000000000000000000000
χ808-88-800-4800844-8-8-4-400000-44400000000000000000000000000000000000000000000000000000000000
χ818-88-800-4-400-44444-42000002-2-20000000000006i−6i000000000000000000000000000000000000000000000
χ828-88-800-4-400-44444-42000002-2-2000000000000−6i6i000000000000000000000000000000000000000000000
χ838-8-888-8-4-40044-44-4420-44-44-2-220000002-2000000000000000000000000000000000000000000000000000
χ848-8-88-88-4-40044-44-44204-44-4-2-22000000-22000000000000000000000000000000000000000000000000000

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