Finite Group Databasebeta

← Group #11895639

Character table — Group #11895639

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444666688888888812121212121212121212121212121212161616161616161618181818242424242424242424242436363636484872
order122233444466666634666121212121212121212128888241212121212121244888888242424242424242466661212121244444441212121224242424444412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-111-1-1-11
χ411111111111111111111111111111111111-1-11111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-11-1-1-1
χ51111111111111111111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111111111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ71111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1111-1
χ81111111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-111-1111
χ9111111-1-1111111111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-11111-1-1111-11-1-1
χ10111111-1-1111111111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-111-1-1-1-111-1-1-111-11
χ11111111-1-1111111111-1111-1-1-1-1-1-111111111-11-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-1-111-1111-11-1
χ12111111-1-1111111111-1111-1-1-1-1-1-111111111-11-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-11111-1-111-1-11-1-1-1-111
χ13111111-1-1111111111-1111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-1-11-111
χ14111111-1-1111111111-1111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-11111-1-1-1-111111-1-11-1
χ15111111-1-1111111111-1111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-111-1-1111-1-1-11-11
χ16111111-1-1111111111-1111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-111-1-111-1-1-11111-1-1
χ1722222222-2-22222222-22222222-2-2-2-2-2-2000000-222-2-2-2-2000000000000000000000000222200000000000-200-2000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2000000-222-2-2-2-2000000000000000000000000-2-2-2-2000000000002002000
χ19222222-2-2-2-222222222222-2-2-2-222-2-2-2-20000002-2-222-2-200000000000000000000000022-2-200000000000200-2000
χ20222222-2-2-2-222222222222-2-2-2-222-2-2-2-20000002-2-222-2-2000000000000000000000000-2-22200000000000-2002000
χ2122222-122222-12-1-12-12-1-1-122-1-1-1-12-1-122222222-1-1-1-1-1-100220000-1-1-1-1-1-1-1-12-1-1-1-12-1-10000202000000000000-1-10
χ2222222-122222-12-1-12-12-1-1-122-1-1-1-12-1-122222-2-22-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1-21111-2110000-20-2000000000000110
χ2322222-122222-12-1-12-12-1-1-122-1-1-1-12-1-12-2-2-2-2222-1-1-1-1-1-100-2-20000111111112-1-1-1-12-1-10000-20-2000000000000110
χ2422222-122222-12-1-12-12-1-1-122-1-1-1-12-1-12-2-2-2-2-2-22-1-1-1-1-1-100-2-2000011111111-21111-2110000202000000000000-1-10
χ2522222-1-2-2222-12-1-12-1-2-1-1-1-2-211112-1-1222222-2-21111-1-100-2-20000-1-1-1-111112-1-1-11-211000020-2000000000000-110
χ2622222-1-2-2222-12-1-12-1-2-1-1-1-2-211112-1-122222-22-21111-1-100-2-20000-1-1-1-11111-2111-12-1-10000-2020000000000001-10
χ2722222-1-2-2222-12-1-12-1-2-1-1-1-2-211112-1-12-2-2-2-22-2-21111-1-1002200001111-1-1-1-12-1-1-11-2110000-2020000000000001-10
χ2822222-1-2-2222-12-1-12-1-2-1-1-1-2-211112-1-12-2-2-2-2-22-21111-1-1002200001111-1-1-1-1-2111-12-1-1000020-2000000000000-110
χ292222-122222-12-122-1-12-1-1-1-1-12222-122-1000022-1-1-1-1-1-1-12200222200000000-12-1-12-1-1-10000020-1-1-1-1-1-1-1-10000000
χ302222-122222-12-122-1-12-1-1-1-1-12222-122-1000022-1-1-1-1-1-1-1-2-200-2-2-2-200000000-12-1-12-1-1-100000-20111111110000000
χ312222-122222-12-122-1-12-1-1-1-1-12222-122-10000-2-2-1-1-1-1-1-1-12200-2-2-2-2000000001-211-21110000020-1-1-1-111110000000
χ322222-122222-12-122-1-12-1-1-1-1-12222-122-10000-2-2-1-1-1-1-1-1-1-2-2002222000000001-211-211100000-201111-1-1-1-10000000
χ332222-12-2-222-12-122-1-1-2-1-1-111-2-2-2-2-122-100002-211111-1-1220022-2-200000000-12-1-1-211100000-2011-1-1-1-1110000000
χ342222-12-2-222-12-122-1-1-2-1-1-111-2-2-2-2-122-100002-211111-1-1-2-200-2-22200000000-12-1-1-21110000020-1-11111-1-10000000
χ352222-12-2-222-12-122-1-1-2-1-1-111-2-2-2-2-122-10000-2211111-1-12200-2-222000000001-2112-1-1-100000-2011-1-111-1-10000000
χ362222-12-2-222-12-122-1-1-2-1-1-111-2-2-2-2-122-10000-2211111-1-1-2-20022-2-2000000001-2112-1-1-10000020-1-111-1-1110000000
χ3722-2-22200-22-22-2-2-2220-2-22000000-22-222i2i−2i−2i00000002-22-20000002i2i−2i−2i0000000000000000000002-2000002i−2i0000
χ3822-2-22200-22-22-2-2-2220-2-22000000-22-222i2i−2i−2i00000002-2-220000002i2i−2i−2i000000000000000000000-2200000−2i2i0000
χ3922-2-22200-22-22-2-2-2220-2-22000000-22-22−2i−2i2i2i00000002-22-2000000−2i−2i2i2i0000000000000000000002-200000−2i2i0000
χ4022-2-22200-22-22-2-2-2220-2-22000000-22-22−2i−2i2i2i00000002-2-22000000−2i−2i2i2i000000000000000000000-22000002i−2i0000
χ412-22-2222i−2i00-2-222-2-2202-2-22i−2i2i−2i0000002−22−20002i−2i000000−i2i2−i2i22−22−22−2−i2−i2i2i2000000002-22i−2i0000000−i2i22−20000000
χ422-22-2222i−2i00-2-222-2-2202-2-22i−2i2i−2i0000002−22−20002i−2i000000−i2i2i2−i2−222−22−2−i2−i2i2i200000000-22−2i2i0000000i2−i2−220000000
χ432-22-2222i−2i00-2-222-2-2202-2-22i−2i2i−2i000000−22−220002i−2i000000i2−i2−i2i22−2−22−22i2i2−i2−i200000000-22−2i2i0000000−i2i22−20000000
χ442-22-2222i−2i00-2-222-2-2202-2-22i−2i2i−2i000000−22−220002i−2i000000i2−i2i2−i2−22−22−22i2i2−i2−i2000000002-22i−2i0000000i2−i2−220000000
χ452-22-222−2i2i00-2-222-2-2202-2-2−2i2i−2i2i0000002−22−2000−2i2i000000i2−i2−i2i2−222−22−2i2i2−i2−i200000000-222i−2i0000000−i2i2−220000000
χ462-22-222−2i2i00-2-222-2-2202-2-2−2i2i−2i2i0000002−22−2000−2i2i000000i2−i2i2−i22−22−22−2i2i2−i2−i2000000002-2−2i2i0000000i2−i22−20000000
χ472-22-222−2i2i00-2-222-2-2202-2-2−2i2i−2i2i000000−22−22000−2i2i000000−i2i2−i2i2−22−22−22−i2−i2i2i2000000002-2−2i2i0000000−i2i2−220000000
χ482-22-222−2i2i00-2-222-2-2202-2-2−2i2i−2i2i000000−22−22000−2i2i000000−i2i2i2−i22−2−22−22−i2−i2i2i200000000-222i−2i0000000i2−i22−20000000
χ4944444-244-4-44-24-2-24-2-4-2-2-244-2-222-422-4000000-4-2-222220000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-44-24-2-24-24-2-2-2-4-422-2-2-422-4000000422-2-2220000000000000000000000000000000000000000000000
χ514444-2444-4-4-24-244-2-2-4-2-2-2-2-244-4-42-4-420000002-2-222220000000000000000000000000000000000000000000000
χ524444-24-4-4-4-4-24-244-2-24-2-2-222-4-4442-4-42000000-222-2-2220000000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000044-21111110000000000000000-2-211-2-2110000000000000000000000
χ544444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000-4-4-2111111000000000000000022-1-122-1-10000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-2222222000000211-1-1-1-10000000000000000003-3003-30000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-2222222000000211-1-1-1-1000000000000000000-3300-330000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-21-4111222222-2-2-2-200004-42-1-1-1-1110000000000000000-2-21122-1-10000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-21-4111222222-2-2-2-20000-442-1-1-1-111000000000000000022-1-1-2-2110000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-22222000000-2-1-111-1-10000000000000000003-300-330000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-22222000000-2-1-111-1-1000000000000000000-33003-30000000000000000000000
χ6144-4-444004-4-44-4-4-4440-4-440000004-44-400000000000-440000000000000000000000000000000000000000000000
χ6244-4-44-2004-4-4-2-4224-2022-200000042-2-4000000000002-200000000000023−2323−23000000000000000000000000000000
χ6344-4-44-2004-4-4-2-4224-2022-200000042-2-4000000000002-2000000000000−2323−2323000000000000000000000000000000
χ6444-4-44-200-44-4-2-4224-2022-2000000-4-2244i4i−4i−4i0000000-2200000000−2i−2i2i2i0000000000000000000000000000000000
χ6544-4-44-200-44-4-2-4224-2022-2000000-4-224−4i−4i4i4i0000000-22000000002i2i−2i−2i0000000000000000000000000000000000
χ6644-4-4-24004-4242-4-4-2-2022-2000000-2-442000000000002-2000000000000000000000000000000023−230000000000000
χ6744-4-4-24004-4242-4-4-2-2022-2000000-2-442000000000002-20000000000000000000000000000000−23230000000000000
χ6844-4-4-2400-44242-4-4-2-2022-200000024-4-200000000000-224-40000000000000000000000000000000-2200000000000
χ6944-4-4-2400-44242-4-4-2-2022-200000024-4-200000000000-22-4400000000000000000000000000000002-200000000000
χ704-44-44-24i−4i00-424-22-4-20-2224i−4i−2i2i00000022−2222−22000−2i2i000000−2i22i20000−22−22i2i2−i2−i2000000000000000000000000000000
χ714-44-44-24i−4i00-424-22-4-20-2224i−4i−2i2i000000−2222−2222000−2i2i0000002i2−2i200002−22−2−i2−i2i2i2000000000000000000000000000000
χ724-44-44-2−4i4i00-424-22-4-20-222−4i4i2i−2i00000022−2222−220002i−2i0000002i2−2i20000−22−22−i2−i2i2i2000000000000000000000000000000
χ734-44-44-2−4i4i00-424-22-4-20-222−4i4i2i−2i000000−2222−22220002i−2i000000−2i22i200002−22−2i2i2−i2−i2000000000000000000000000000000
χ744-44-4-244i−4i002-4-24-42-20-222−2i2i4i−4i0000000000000−2i2i00000000−2i22i222−22000000000000000000000000000i2−i2−220000000
χ754-44-4-244i−4i002-4-24-42-20-222−2i2i4i−4i0000000000000−2i2i000000002i2−2i2−2222000000000000000000000000000−i2i22−20000000
χ764-44-4-24−4i4i002-4-24-42-20-2222i−2i−4i4i00000000000002i−2i00000000−2i22i2−2222000000000000000000000000000i2−i22−20000000
χ774-44-4-24−4i4i002-4-24-42-20-2222i−2i−4i4i00000000000002i−2i000000002i2−2i222−22000000000000000000000000000−i2i2−220000000
χ784-4-444400004-4-4-44-440-44-40000000000−2i22i22i2−2i200000000000000000−2i22i22i2−2i20000000000000000000000000000000000
χ794-4-444400004-4-4-44-440-44-400000000002i2−2i2−2i22i2000000000000000002i2−2i2−2i22i20000000000000000000000000000000000
χ804-4-444-2000042-42-2-4-202-22000023−230000−2i22i22i2−2i20000023−230000000000i2−i2−i2i2i6−i6−i6i6000000000000000000000000000000
χ814-4-444-2000042-42-2-4-202-22000023−2300002i2−2i2−2i22i20000023−230000000000−i2i2i2−i2−i6i6i6−i6000000000000000000000000000000
χ824-4-444-2000042-42-2-4-202-220000−23230000−2i22i22i2−2i200000−23230000000000i2−i2−i2i2−i6i6i6−i6000000000000000000000000000000
χ834-4-444-2000042-42-2-4-202-220000−232300002i2−2i2−2i22i200000−23230000000000−i2i2i2−i2i6−i6−i6i6000000000000000000000000000000
χ8488-8-8-4-4008-84-4444-420-2-22000000-44-4400000000000-220000000000000000000000000000000000000000000000
χ8588-8-8-4-400-884-4444-420-2-220000004-44-4000000000002-20000000000000000000000000000000000000000000000
χ868-88-8-4-48i−8i0044-4-444202-2-2−4i4i−4i4i00000000000002i−2i00000000000000000000000000000000000000000000000000
χ878-88-8-4-4−8i8i0044-4-444202-2-24i−4i4i−4i0000000000000−2i2i00000000000000000000000000000000000000000000000000
χ888-8-88-480000-4-84-884-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-40000-4444-4420-22-2000043−430000000000000−2323000000000000000000000000000000000000000000000000
χ908-8-88-4-40000-4444-4420-22-20000−4343000000000000023−23000000000000000000000000000000000000000000000000

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