Finite Group Databasebeta

← Group #11865801

Character table — Group #11865801

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222224444444444444888888888899991212121212121212121212121212121216161616161616161818181824242424242424242424242424242424367272
order1222334444666666346661212121212121212241212121212121212444422444444888888886666121212122244661212121212122424242424242424424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ3111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1
χ511111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1
χ711111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111
χ9111111-1-1111111111-1111-1-11-1-11111-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-11
χ10111111-1-1111111111-1111-1-11-1-11111-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11
χ11111111-1-1111111111-1111-1-11-1-11111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1
χ12111111-1-1111111111-1111-1-11-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1
χ13111111-1-1111111111-1111-1-11-1-1111-11-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111-11-1
χ14111111-1-1111111111-1111-1-11-1-1111-11-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-11-1
χ15111111-1-1111111111-1111-1-11-1-1111-11-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-11-11
χ16111111-1-1111111111-1111-1-11-1-1111-11-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1111-11
χ1722222222-2-22222222-222222-222-2-2-200-2-222-2-2-2-22222000000000000000000000000-2-2220000000000000000-200
χ1822222222-2-22222222-222222-222-2-2-200-2-222-2-2-2-2-2-2-2-200000000000000000000000022-2-20000000000000000200
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-222-2-22222000000000000000000000000-2-2-2-20000000000000000200
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-222-2-2-2-2-2-200000000000000000000000022220000000000000000-200
χ2122222-122222-1-12-12-12-1-1-122-1-1-12-1222-12-1-1-1-1-1-1000022220000222200002-1-1-1-12-1-10000-1-1-1-10000-1-1-1-10000000
χ2222222-122222-1-12-12-12-1-1-122-1-1-12-1222-12-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200002-1-1-1-12-1-100001111000011110000000
χ2322222-122222-1-12-12-12-1-1-122-1-1-12-12-2-2-12-1-1-1-1-1-1000022220000-2-2-2-20000-21111-2110000-1-1-1-1000011110000000
χ2422222-122222-1-12-12-12-1-1-122-1-1-12-12-2-2-12-1-1-1-1-1-10000-2-2-2-2000022220000-21111-211000011110000-1-1-1-10000000
χ2522222-1-2-2222-1-12-12-1-2-1-1-1-2-2-1112-122-21-21111-1-1000022-2-2000022-2-200002-1-1-11-2110000-1-1110000-1-1110000000
χ2622222-1-2-2222-1-12-12-1-2-1-1-1-2-2-1112-122-21-21111-1-10000-2-2220000-2-22200002-1-1-11-211000011-1-1000011-1-10000000
χ2722222-1-2-2222-1-12-12-1-2-1-1-1-2-2-1112-12-221-21111-1-1000022-2-20000-2-2220000-2111-12-1-10000-1-111000011-1-10000000
χ2822222-1-2-2222-1-12-12-1-2-1-1-1-2-2-1112-12-221-21111-1-10000-2-222000022-2-20000-2111-12-1-1000011-1-10000-1-1110000000
χ292222-122222-122-12-1-12-1-1-1-1-1222-12-1222-1-1-1-1-1-1-100000000222200002222-12-1-12-1-1-100000000-1-1-1-10000-1-1-1-1000
χ302222-122222-122-12-1-12-1-1-1-1-1222-12-1222-1-1-1-1-1-1-100000000-2-2-2-20000-2-2-2-2-12-1-12-1-1-100000000111100001111000
χ312222-122222-122-12-1-12-1-1-1-1-1222-12-1-2-22-1-1-1-1-1-1-10000000022220000-2-2-2-21-211-211100000000-1-1-1-100001111000
χ322222-122222-122-12-1-12-1-1-1-1-1222-12-1-2-22-1-1-1-1-1-1-100000000-2-2-2-2000022221-211-21110000000011110000-1-1-1-1000
χ332222-12-2-222-122-12-1-1-2-1-1-1112-2-2-12-12-2-211111-1-10000000022-2-20000-2-222-12-1-1-211100000000-1-111000011-1-1000
χ342222-12-2-222-122-12-1-1-2-1-1-1112-2-2-12-12-2-211111-1-100000000-2-222000022-2-2-12-1-1-21110000000011-1-10000-1-111000
χ352222-12-2-222-122-12-1-1-2-1-1-1112-2-2-12-1-22-211111-1-10000000022-2-2000022-2-21-2112-1-1-100000000-1-1110000-1-111000
χ362222-12-2-222-122-12-1-1-2-1-1-1112-2-2-12-1-22-211111-1-100000000-2-2220000-2-2221-2112-1-1-10000000011-1-1000011-1-1000
χ3722-2-2222i−2i00-22-22-2-2202-2-22i−2i02i−2i00000002i−2i00002i2i−2i−2i000000002−2i2−i2i2−i22−200000000002-2000000002−2i2−i2i2−i22−2000
χ3822-2-2222i−2i00-22-22-2-2202-2-22i−2i02i−2i00000002i−2i00002i2i−2i−2i00000000−22−i2i2−i2i2−2200000000002-200000000−22−i2i2−i2i2−22000
χ3922-2-2222i−2i00-22-22-2-2202-2-22i−2i02i−2i00000002i−2i0000−2i−2i2i2i000000002−2i2−i2−i2i2−220000000000-22000000002−2i2−i2−i2i2−22000
χ4022-2-2222i−2i00-22-22-2-2202-2-22i−2i02i−2i00000002i−2i0000−2i−2i2i2i00000000−22−i2i2i2−i22−20000000000-2200000000−22−i2i2i2−i22−2000
χ4122-2-222−2i2i00-22-22-2-2202-2-2−2i2i0−2i2i0000000−2i2i00002i2i−2i−2i000000002−2−i2i2i2−i2−220000000000-22000000002−2−i2i2i2−i2−22000
χ4222-2-222−2i2i00-22-22-2-2202-2-2−2i2i0−2i2i0000000−2i2i00002i2i−2i−2i00000000−22i2−i2−i2i22−20000000000-2200000000−22i2−i2−i2i22−2000
χ4322-2-222−2i2i00-22-22-2-2202-2-2−2i2i0−2i2i0000000−2i2i0000−2i−2i2i2i000000002−2−i2i2−i2i22−200000000002-2000000002−2−i2i2−i2i22−2000
χ4422-2-222−2i2i00-22-22-2-2202-2-2−2i2i0−2i2i0000000−2i2i0000−2i−2i2i2i00000000−22i2−i2i2−i2−2200000000002-200000000−22i2−i2i2−i2−22000
χ452-2-2222002-2-2-22-2-2220-2-22002002-2-2000000002-22-22-2002i−2i2i−2i0000000000000000002-200002i−2i2i−2i0000000000000
χ462-2-2222002-2-2-22-2-2220-2-22002002-2-2000000002-22-22-200−2i2i−2i2i0000000000000000002-20000−2i2i−2i2i0000000000000
χ472-2-2222002-2-2-22-2-2220-2-22002002-2-2000000002-2-22-22002i−2i−2i2i000000000000000000-2200002i−2i−2i2i0000000000000
χ482-2-2222002-2-2-22-2-2220-2-22002002-2-2000000002-2-22-2200−2i2i2i−2i000000000000000000-220000−2i2i2i−2i0000000000000
χ492-2-222200-22-2-22-2-2220-2-2200-200-22200000000-222-22-22-200002-20000000000000000-22002-200002-200000000000
χ502-2-222200-22-2-22-2-2220-2-2200-200-22200000000-222-22-2-220000-220000000000000000-2200-220000-2200000000000
χ512-2-222200-22-2-22-2-2220-2-2200-200-22200000000-22-22-222-20000-2200000000000000002-2002-20000-2200000000000
χ522-2-222200-22-2-22-2-2220-2-2200-200-22200000000-22-22-22-2200002-200000000000000002-200-2200002-200000000000
χ5344444-244-4-44-2-24-24-2-4-2-2-2442-2-2-42-4002-4-2-22222000000000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-2-24-24-24-2-2-2-4-4222-42-400-2422-2-222000000000000000000000000000000000000000000000000000
χ554444-2444-4-4-244-24-2-2-4-2-2-2-2-2-4442-4200-42-2-22222000000000000000000000000000000000000000000000000000
χ564444-24-4-4-4-4-244-24-2-24-2-2-222-4-4-42-42004-222-2-222000000000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-211111100000000000000000000-2-211-2-21100000000000000000000000
χ584444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-21111110000000000000000000022-1-122-1-100000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-21-4111-2-22-2-2222002211-1-1-1-100000000000000000000003-3003-300000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-21-4111-2-22-2-2222002211-1-1-1-10000000000000000000000-3300-3300000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-21-411122-222-2-2-24-422-1-1-1-11100000000000000000000-2-21122-1-100000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-21-411122-222-2-2-2-4422-1-1-1-1110000000000000000000022-1-1-2-21100000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-111-1-100000000000000000000003-300-3300000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-111-1-10000000000000000000000-33003-300000000000000000000000
χ6544-4-44-24i−4i00-4-2242-4-20-2224i−4i0−2i2i0000000−2i2i000000000000000022−222i2−2i2000000000000000000000000−22−i2i20000000
χ6644-4-44-24i−4i00-4-2242-4-20-2224i−4i0−2i2i0000000−2i2i0000000000000000−2222−2i22i20000000000000000000000002−2i2−i20000000
χ6744-4-44-2−4i4i00-4-2242-4-20-222−4i4i02i−2i00000002i−2i000000000000000022−22−2i22i2000000000000000000000000−22i2−i20000000
χ6844-4-44-2−4i4i00-4-2242-4-20-222−4i4i02i−2i00000002i−2i0000000000000000−22222i2−2i20000000000000000000000002−2−i2i20000000
χ6944-4-4-244i−4i0024-4-2-42-20-222−2i2i04i−4i0000000−2i2i000000000000000000002i2−2i222−22000000000000000000000000−i2i2−22000
χ7044-4-4-244i−4i0024-4-2-42-20-222−2i2i04i−4i0000000−2i2i00000000000000000000−2i22i2−2222000000000000000000000000i2−i22−2000
χ7144-4-4-24−4i4i0024-4-2-42-20-2222i−2i0−4i4i00000002i−2i000000000000000000002i2−2i2−2222000000000000000000000000−i2i22−2000
χ7244-4-4-24−4i4i0024-4-2-42-20-2222i−2i0−4i4i00000002i−2i00000000000000000000−2i22i222−22000000000000000000000000i2−i2−22000
χ734-44-44400004-4-4-44-440-44-40000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000
χ744-44-44400004-4-4-44-440-44-4000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ754-4-444-2004-4-42-2-424-2022-200-20042-400000000-220000004i−4i00000000000000000000000000−2i2i000000000000000
χ764-4-444-2004-4-42-2-424-2022-200-20042-400000000-22000000−4i4i000000000000000000000000002i−2i000000000000000
χ774-4-444-200-44-42-2-424-2022-200200-4-24000000002-200004-400000000000000000000000000-2200000000000000000
χ784-4-444-200-44-42-2-424-2022-200200-4-24000000002-20000-44000000000000000000000000002-200000000000000000
χ794-4-44-24004-42-442-4-2-2022-200400-2-4200000000-22000000004i−4i00000000000000000000000000−2i2i0000000000000
χ804-4-44-24004-42-442-4-2-2022-200400-2-4200000000-2200000000−4i4i000000000000000000000000002i−2i0000000000000
χ814-4-44-2400-442-442-4-2-2022-200-40024-2000000002-200000000004-400000000000000000000000000-2200000000000
χ824-4-44-2400-442-442-4-2-2022-200-40024-2000000002-20000000000-44000000000000000000000000002-200000000000
χ8388-8-8-4-48i−8i004-44-444202-2-2−4i4i0−4i4i00000002i−2i0000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-4−8i8i004-44-444202-2-24i−4i04i−4i0000000−2i2i0000000000000000000000000000000000000000000000000000000
χ858-88-88-40000844-8-4-8-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-480000-4-8-8484-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-40000-4444-4420-22-2000000000000006i−6i00000000000000000000000000000000000000000000000000000
χ888-88-8-4-40000-4444-4420-22-200000000000000−6i6i00000000000000000000000000000000000000000000000000000
χ898-8-88-4-4008-844-444-420-2-2200-400-444000000002-2000000000000000000000000000000000000000000000000000
χ908-8-88-4-400-8844-444-420-2-22004004-4-400000000-22000000000000000000000000000000000000000000000000000

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