Finite Group Databasebeta

← Group #11865890

Character table — Group #11865890

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888121212121212121216161616161616161818181818182424242424242424242424242424242424242424367272
order12223344446666663466612121212121212122412121212121212122222444466661212121222444466668888121212122424242424242424424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1
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
χ611111111111111111111111111111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-111
χ711111111111111111111111111111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-111
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
χ9111111-1-1111111111-111111-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111111-11-1-1-1-1-111-1-111-1-1-1-11
χ10111111-1-1111111111-111111-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11-1-11-1-11111-1-1-1-11111-1
χ11111111-1-1111111111-111111-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-111-111-1-1-1-11111-1-111-1
χ12111111-1-1111111111-111111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-11-111111-1-111-1-111-1-11
χ13111111-1-1111111111-111111-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-11-11-1-1-1-1-1-111-1-111-11-1
χ14111111-1-1111111111-111111-1-1-1-111-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-111-1-1-111-1-11111-1-11-11
χ15111111-1-1111111111-111111-1-1-1-111-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1111-1-111-1-1-1-1111-11
χ16111111-1-1111111111-111111-1-1-1-111-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11-11-1111111-1-111-1-1-11-1
χ1722222222-2-22222222-2222-2-22222-2-200-2-222-2-2-2-200000000000000002222-2-200000000000000000000-200
χ1822222222-2-22222222-2222-2-22222-2-200-2-222-2-2-2-20000000000000000-2-2-2-22200000000000000000000200
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-222-2-2000000000000000022-2-2-2-200000000000000000000200
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-222-2-20000000000000000-2-2222200000000000000000000-200
χ2122222-122222-12-12-1-12-1-1-12-122-1-12-1222-1-1-1-1-1-1-1002200222-1-1-12-1-1-100000000-1-1002200-1-10000-1-1-1-1000
χ2222222-122222-12-12-1-12-1-1-12-122-1-12-1222-1-1-1-1-1-1-100-2-200-2-22-1-1-12-1-1-1000000001100-2-2001100001111000
χ2322222-122222-12-12-1-12-1-1-12-122-1-12-1-2-22-1-1-1-1-1-1-100220022-2111-211100000000-1-100-2-200-1-100001111000
χ2422222-122222-12-12-1-12-1-1-12-122-1-12-1-2-22-1-1-1-1-1-1-100-2-200-2-2-2111-21110000000011002200110000-1-1-1-1000
χ2522222-1-2-2222-12-12-1-1-2-1-1-12-1-2-2112-12-2-211111-1-1002200-2-22-1-1-1-211100000000-1-1002-200110000-1-111000
χ2622222-1-2-2222-12-12-1-1-2-1-1-12-1-2-2112-12-2-211111-1-100-2-200222-1-1-1-2111000000001100-2200-1-1000011-1-1000
χ2722222-1-2-2222-12-12-1-1-2-1-1-12-1-2-2112-1-22-211111-1-1002200-2-2-21112-1-1-100000000-1-100-220011000011-1-1000
χ2822222-1-2-2222-12-12-1-1-2-1-1-12-1-2-2112-1-22-211111-1-100-2-20022-21112-1-1-10000000011002-200-1-10000-1-111000
χ292222-122222-12-12-12-12-1-1-1-12-1-122-1222-12-1-1-1-1-1-122002200-12-1-1-12-1-1000000-1-1002200-1-100-1-1-1-10000000
χ302222-122222-12-12-12-12-1-1-1-12-1-122-1222-12-1-1-1-1-1-1-2-200-2-200-12-1-1-12-1-10000001100-2-200110011110000000
χ312222-122222-12-12-12-12-1-1-1-12-1-122-12-2-2-12-1-1-1-1-1-1220022001-2111-211000000-1-100-2-200-1-10011110000000
χ322222-122222-12-12-12-12-1-1-1-12-1-122-12-2-2-12-1-1-1-1-1-1-2-200-2-2001-2111-211000000110022001100-1-1-1-10000000
χ332222-12-2-222-12-12-12-1-2-1-1-1-1211-2-2-122-21-21111-1-12200-2-200-12-1-11-211000000-1-1002-2001100-1-1110000000
χ342222-12-2-222-12-12-12-1-2-1-1-1-1211-2-2-122-21-21111-1-1-2-2002200-12-1-11-2110000001100-2200-1-10011-1-10000000
χ352222-12-2-222-12-12-12-1-2-1-1-1-1211-2-2-12-221-21111-1-12200-2-2001-211-12-1-1000000-1-100-2200110011-1-10000000
χ362222-12-2-222-12-12-12-1-2-1-1-1-1211-2-2-12-221-21111-1-1-2-20022001-211-12-1-100000011002-200-1-100-1-1110000000
χ372-2-2222002-2-2-222-2-220-2-22220000-2-2000000002-200002i−2i2i−2i000000002-2002-2000000002i−2i2i−2i00000000000
χ382-2-2222002-2-2-222-2-220-2-22220000-2-2000000002-200002i−2i−2i2i00000000-2200-22000000002i−2i−2i2i00000000000
χ392-2-2222002-2-2-222-2-220-2-22220000-2-2000000002-20000−2i2i2i−2i00000000-2200-2200000000−2i2i2i−2i00000000000
χ402-2-2222002-2-2-222-2-220-2-22220000-2-2000000002-20000−2i2i−2i2i000000002-2002-200000000−2i2i−2i2i00000000000
χ412-2-222200-22-2-222-2-220-2-22-2-200002200000000-222-22-20000000000002-200-222-22-20000000000000000000
χ422-2-222200-22-2-222-2-220-2-22-2-200002200000000-222-2-22000000000000-22002-22-2-220000000000000000000
χ432-2-222200-22-2-222-2-220-2-22-2-200002200000000-22-222-2000000000000-22002-2-222-20000000000000000000
χ442-2-222200-22-2-222-2-220-2-22-2-200002200000000-22-22-220000000000002-200-22-22-220000000000000000000
χ4544444-244-4-44-24-24-2-2-4-2-2-2-4244-2-2-4200-42-2-22222000000000000000000000000000000000000000000000
χ4644444-2-4-4-4-44-24-24-2-24-2-2-2-42-4-422-42004-222-2-222000000000000000000000000000000000000000000000
χ474444-2444-4-4-24-24-24-2-4-2-2-22-4-2-2442-4002-4-2-22222000000000000000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-24-24-2-2-22-422-4-42-400-2422-2-222000000000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-211111100000000-2-211-2-21100000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-21111110000000022-1-122-1-100000000000000000000000000000
χ514444-2-244-4-4-2-2-2-2-2-21-411122-2-2-2-222002211-1-1-1-100000000003-3003-300000000000000000000000000000
χ524444-2-244-4-4-2-2-2-2-2-21-411122-2-2-2-222002211-1-1-1-10000000000-3300-3300000000000000000000000000000
χ534444-2-2-4-444-2-2-2-2-2-21-4111-2-22222-2-24-422-1-1-1-11100000000-2-21122-1-100000000000000000000000000000
χ544444-2-2-4-444-2-2-2-2-2-21-4111-2-22222-2-2-4422-1-1-1-1110000000022-1-1-2-21100000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-111-1-100000000003-300-3300000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-111-1-10000000000-33003-300000000000000000000000000000
χ5744-4-4444i−4i0044-4-4-4-4404-4-4004i−4i4i−4i0000004i−4i0000000000000000000000000000000000000000000000000
χ5844-4-444−4i4i0044-4-4-4-4404-4-400−4i4i−4i4i000000−4i4i0000000000000000000000000000000000000000000000000
χ5944-4-44-24i−4i004-2-42-42-20-222004i−4i−2i2i000000−2i2i000000000000000000000000000000000000000000i6−i66−6000
χ6044-4-44-24i−4i004-2-42-42-20-222004i−4i−2i2i000000−2i2i000000000000000000000000000000000000000000−i6i6−66000
χ6144-4-44-2−4i4i004-2-42-42-20-22200−4i4i2i−2i0000002i−2i000000000000000000000000000000000000000000i6−i6−66000
χ6244-4-44-2−4i4i004-2-42-42-20-22200−4i4i2i−2i0000002i−2i000000000000000000000000000000000000000000−i6i66−6000
χ6344-4-4-244i−4i00-242-42-4-20-22200−2i2i4i−4i000000−2i2i00000000000000000000000000000000000000i6−i66−60000000
χ6444-4-4-244i−4i00-242-42-4-20-22200−2i2i4i−4i000000−2i2i00000000000000000000000000000000000000−i6i6−660000000
χ6544-4-4-24−4i4i00-242-42-4-20-222002i−2i−4i4i0000002i−2i00000000000000000000000000000000000000i6−i6−660000000
χ6644-4-4-24−4i4i00-242-42-4-20-222002i−2i−4i4i0000002i−2i00000000000000000000000000000000000000−i6i66−60000000
χ674-44-4440000-4-4-4-44440-44-40000000000000000000000000000000000004-40000000000000000000000000
χ684-44-4440000-4-4-4-44440-44-4000000000000000000000000000000000000-440000000000000000000000000
χ694-4-444-2004-4-424-2-42-2022-24-20000-4200000000-220000004i−4i000000000000000000000000−2i2i00000000000
χ704-4-444-2004-4-424-2-42-2022-24-20000-4200000000-22000000−4i4i0000000000000000000000002i−2i00000000000
χ714-4-444-200-44-424-2-42-2022-2-4200004-2000000002-2004-400000000000000000000-220000000000000000000
χ724-4-444-200-44-424-2-42-2022-2-4200004-2000000002-200-44000000000000000000002-20000000000000000000
χ734-4-44-24004-42-4-242-4-2022-2-2400002-400000000-2200004i−4i000000000000000000000000−2i2i0000000000000
χ744-4-44-24004-42-4-242-4-2022-2-2400002-400000000-220000−4i4i0000000000000000000000002i−2i0000000000000
χ754-4-44-2400-442-4-242-4-2022-22-40000-24000000002-24-400000000000000000000-22000000000000000000000
χ764-4-44-2400-442-4-242-4-2022-22-40000-24000000002-2-44000000000000000000002-2000000000000000000000
χ7788-8-8-4-48i−8i00-4-44444202-2-200−4i4i−4i4i0000002i−2i0000000000000000000000000000000000000000000000000
χ7888-8-8-4-4−8i8i00-4-44444202-2-2004i−4i4i−4i000000−2i2i0000000000000000000000000000000000000000000000000
χ798-88-88-40000-84-848-4-404-44000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4800004-84-8-48-404-44000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400004444-4-420-22-2000000000000006i−6i00000000000000000000000000000000000000000000000
χ828-88-8-4-400004444-4-420-22-200000000000000−6i6i00000000000000000000000000000000000000000000000
χ838-8-88-4-4008-844-4-44420-2-22-4-4000044000000002-2000000000000000000000000000000000000000000000
χ848-8-88-4-400-8844-4-44420-2-22440000-4-400000000-22000000000000000000000000000000000000000000000

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