Finite Group Databasebeta

← Group #11871291

Character table — Group #11871291

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order12223344446666663466612121212121212121212224444121212122266661212121212121222444661212121266666644668812121212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-11111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-111-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1
χ9111111-1-1111111111-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-1111-1-11111-1-11-111-1-11-1111-1-1-111-1-111-1-111-1-11-1
χ10111111-1-1111111111-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-1-1-11111111-1-11-111-1-11-1-1-1-111111-1-1-1-111-1-111-11
χ11111111-1-1111111111-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-1111-1-11111-1-1-11-1-111-1111-11-1-1-1-111-1-11111-1-1-11
χ12111111-1-1111111111-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-1-1-11111111-1-1-11-1-111-11-1-11-111-1-11111-1-1-1-1111-1
χ13111111-1-1111111111-1111111-1-1-1-1-1-11-1-1111111111-111-1-1-111-1-1-1-111-1-1-1-1-1-1-1111-111-1-1-11111-1-1-1-1-11111-1-1-1-111-11
χ14111111-1-1111111111-1111111-1-1-1-1-1-11-1-1111111111-111-1-1-111-1-1-1-1-1-1-111-1-1-1-1111-111-1-1-11-1-1-1111-1-111-1-11111-1-11-1
χ15111111-1-1111111111-1111111-1-1-1-1-1-11-1-111111111-11-1-111-111-1-1-1-111-1-1-1-1-1-1-111-11-1-1111-111-11-1-111-1-1-1-111-1-1111-1
χ16111111-1-1111111111-1111111-1-1-1-1-1-11-1-111111111-11-1-111-111-1-1-1-1-1-1-111-1-1-1-111-11-1-1111-1-1-11-11111-1-111-1-111-1-1-11
χ1722222222-2-22222222-2222-2-2-22222-2-2-222-2-222-2-2-2-2000000-2-2-222-2-200-20022-2-2220000000000000000000000000000
χ1822222222-2-22222222-2222-2-2-22222-2-2-2-2-222-2-22222000000-2-2-222-2-200200-2-222-2-20000000000000000000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-222-22222-2-222220000002-2-2-2-22200-20022-2-2-2-20000000000000000000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-222-2-2-2-2-222-2-2-2-20000002-2-2-2-22200200-2-222220000000000000000000000000000
χ2122222-12222-1-122-12-12-1-1-1-12222-1-122-10000000000222222-1-1-1-1-1-1-122022000000-1-1-1-1-1-100-1-122-1-10000-1-1-1-1000000
χ2222222-12222-1-122-12-12-1-1-1-12222-1-122-10000000000222222-1-1-1-1-1-1-1-2-20-2-2000000-1-1-1-1-1-10011-2-21100001111000000
χ2322222-12222-1-122-12-12-1-1-1-12222-1-122-10000000000-2-2-2-2-2-2-1-1-1-1-1-1-12202200000011111100-1-1-2-2-1-100001111000000
χ2422222-12222-1-122-12-12-1-1-1-12222-1-122-10000000000-2-2-2-2-2-2-1-1-1-1-1-1-1-2-20-2-2000000111111001122110000-1-1-1-1000000
χ2522222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-2-2-100000000002-222-2-21-1-11111220-2-2000000-11-1-11100-1-12-2110000-1-111000000
χ2622222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-2-2-100000000002-222-2-21-1-11111-2-2022000000-11-1-1110011-22-1-1000011-1-1000000
χ2722222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-2-2-10000000000-22-2-2221-1-11111220-2-20000001-111-1-100-1-1-2211000011-1-1000000
χ2822222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-2-2-10000000000-22-2-2221-1-11111-2-20220000001-111-1-100112-2-1-10000-1-111000000
χ292222-12222222-1-12-1-12-1-1-12-1-1-1-122-1-12222222-1-1-1-122-1-1-1-12-1-1-1-1-1-100200-1-1-1-1-1-122-1-1-1-122000000-1-1-1-10000000000
χ302222-12222222-1-12-1-12-1-1-12-1-1-1-122-1-12222222-1-1-1-1-2-211112-1-1-1-1-1-100200-1-1-1-1-1-1-2-21111-2-200000011110000000000
χ312222-12222222-1-12-1-12-1-1-12-1-1-1-122-1-12-2-2-2-2-2-2111122-1-1-1-12-1-1-1-1-1-100-20011111122-1-1-1-1-2-200000011110000000000
χ322222-12222222-1-12-1-12-1-1-12-1-1-1-122-1-12-2-2-2-2-2-21111-2-211112-1-1-1-1-1-100-200111111-2-2111122000000-1-1-1-10000000000
χ332222-1222-2-222-1-12-1-1-2-1-1-1-211-1-12211-222-2-222111100−i3i3−i3i3-211-1-11100-200-1-111-1-100−i3i3−i3i300000000−i3i3−i3i30000000000
χ342222-1222-2-222-1-12-1-1-2-1-1-1-211-1-12211-222-2-222111100i3−i3i3−i3-211-1-11100-200-1-111-1-100i3−i3i3−i300000000i3−i3i3−i30000000000
χ352222-1222-2-222-1-12-1-1-2-1-1-1-211-1-12211-2-2-222-2-2-1-1-1-100−i3i3−i3i3-211-1-1110020011-1-11100−i3i3−i3i300000000i3−i3i3−i30000000000
χ362222-1222-2-222-1-12-1-1-2-1-1-1-211-1-12211-2-2-222-2-2-1-1-1-100i3−i3i3−i3-211-1-1110020011-1-11100i3−i3i3−i300000000−i3i3−i3i30000000000
χ372222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-211222-2-2-2-211112-2-1-111-2-1-1111100200-1-1-1-1112-2-1-1112-2000000-1-1110000000000
χ382222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-211222-2-2-2-21111-2211-1-1-2-1-1111100200-1-1-1-111-2211-1-1-2200000011-1-10000000000
χ392222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-2112-2-22222-1-1-1-12-2-1-111-2-1-1111100-2001111-1-12-2-1-111-2200000011-1-10000000000
χ402222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-2112-2-22222-1-1-1-1-2211-1-1-2-1-1111100-2001111-1-1-2211-1-12-2000000-1-1110000000000
χ412222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-1-1-22222-2-2-1-1-1-100−i3i3i3−i321111-1-100-200-1-1111100−i3i3i3−i300000000−i3i3i3−i30000000000
χ422222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-1-1-22222-2-2-1-1-1-100i3−i3−i3i321111-1-100-200-1-1111100i3−i3−i3i300000000i3−i3−i3i30000000000
χ432222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-1-1-2-2-2-2-222111100−i3i3i3−i321111-1-10020011-1-1-1-100−i3i3i3−i300000000i3−i3−i3i30000000000
χ442222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-1-1-2-2-2-2-222111100i3−i3−i3i321111-1-10020011-1-1-1-100i3−i3−i3i300000000−i3i3i3−i30000000000
χ4522-2-222002-22-22-2-2-2202-2-2-22-20000002002i−2i2i−2i2i2i−2i−2i00000002-200002-200000002i−2i000000002-2000000000000002i−2i00
χ4622-2-222002-22-22-2-2-2202-2-2-22-20000002002i−2i2i−2i2i2i−2i−2i00000002-20000-2200000002i−2i00000000-2200000000000000−2i2i00
χ4722-2-222002-22-22-2-2-2202-2-2-22-2000000200−2i2i−2i2i−2i−2i2i2i00000002-200002-20000000−2i2i000000002-200000000000000−2i2i00
χ4822-2-222002-22-22-2-2-2202-2-2-22-2000000200−2i2i−2i2i−2i−2i2i2i00000002-20000-220000000−2i2i00000000-22000000000000002i−2i00
χ4922-2-22200-222-22-2-2-2202-2-22-22000000-2002i−2i−2i2i2i2i−2i−2i0000000-2200000002i−2i0000−2i2i0000000000002i−2i000000002-20000
χ5022-2-22200-222-22-2-2-2202-2-22-22000000-2002i−2i−2i2i2i2i−2i−2i0000000-220000000−2i2i0000−2i2i000000000000−2i2i00000000-220000
χ5122-2-22200-222-22-2-2-2202-2-22-22000000-200−2i2i2i−2i−2i−2i2i2i0000000-2200000002i−2i00002i−2i0000000000002i−2i00000000-220000
χ5222-2-22200-222-22-2-2-2202-2-22-22000000-200−2i2i2i−2i−2i−2i2i2i0000000-220000000−2i2i00002i−2i000000000000−2i2i000000002-20000
χ5344444-244-4-4-2-244-24-2-4-2-2-22-4-444-2-2-4-420000000000000000222-2-222000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-2-244-24-24-2-2-22-4-4-4-4224420000000000000000-22222-2-2000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000000000044-2-2-2-2-211111100000000000-2-211110000000000000000000000
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-42222-21111110000000000022-1-1-1-10000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-2222000000000000−2i32i3−2i32i32-1-111-1-10000000000000i3−i3i3−i30000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-22220000000000002i3−2i32i3−2i32-1-111-1-10000000000000−i3i3−i3i30000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-21-4111-2-2-2222222-200000000004-4-2-222211-1-1-1-100000000000-2211-1-10000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-21-4111-2-2-2222222-20000000000-4422-2-2211-1-1-1-1000000000002-2-1-1110000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-22000000000000−2i32i32i3−2i3-2-1-1-1-1110000000000000i3−i3−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-220000000000002i3−2i3−2i32i3-2-1-1-1-1110000000000000−i3i3i3−i30000000000000000000000
χ6344-4-44-2004-4-224-42-4-20-22224-4000000-200000000000000000-2200004-400000000000000000-22000000000000000000
χ6444-4-44-2004-4-224-42-4-20-22224-4000000-200000000000000000-220000-44000000000000000002-2000000000000000000
χ6544-4-44-200-44-224-42-4-20-222-2-440000002000000000000000002-200000004i−4i000000000000000000−2i2i00000000000000
χ6644-4-44-200-44-224-42-4-20-222-2-440000002000000000000000002-20000000−4i4i0000000000000000002i−2i00000000000000
χ6744-4-4-24004-44-4-22-42-20-222-4-220000004004i−4i4i−4i−2i−2i2i2i0000000-220000000000000−2i2i0000000000000000000000000000
χ6844-4-4-24004-44-4-22-42-20-222-4-22000000400−4i4i−4i4i2i2i−2i−2i0000000-2200000000000002i−2i0000000000000000000000000000
χ6944-4-4-2400-444-4-22-42-20-22242-2000000-4004i−4i−4i4i−2i−2i2i2i00000002-200000000000002i−2i0000000000000000000000000000
χ7044-4-4-2400-444-4-22-42-20-22242-2000000-400−4i4i4i−4i2i2i−2i−2i00000002-20000000000000−2i2i0000000000000000000000000000
χ714-44-4440000-44-4-4-4440-44-400000000004-4000000000000000000000000004-400000000000000000000000000000000
χ724-44-4440000-44-4-4-4440-44-40000000000-4400000000000000000000000000-4400000000000000000000000000000000
χ734-44-4-240000-4422-4-2-202-220000000−2i32i304-40000−2i32i3−2i32i300000000000−2i32i300000-2200000000000000000000000000000000
χ744-44-4-240000-4422-4-2-202-220000000−2i32i30-4400002i3−2i32i3−2i300000000000−2i32i3000002-200000000000000000000000000000000
χ754-44-4-240000-4422-4-2-202-2200000002i3−2i304-400002i3−2i32i3−2i3000000000002i3−2i300000-2200000000000000000000000000000000
χ764-44-4-240000-4422-4-2-202-2200000002i3−2i30-440000−2i32i3−2i32i3000000000002i3−2i3000002-200000000000000000000000000000000
χ774-4-44444-400-4-4-444-440-4-440004-44-400000000000000000000004-400000000000000000000000000000000000000000
χ784-4-4444-4400-4-4-444-440-4-44000-44-440000000000000000000000-4400000000000000000000000000000000000000000
χ794-4-444-24-40022-44-2-4-2022-20004-4-220000000000000000000000-220000000000000000000000000000000i6−i6i6−i6000000
χ804-4-444-24-40022-44-2-4-2022-20004-4-220000000000000000000000-220000000000000000000000000000000−i6i6−i6i6000000
χ814-4-444-2-440022-44-2-4-2022-2000-442-200000000000000000000002-20000000000000000000000000000000i6−i6−i6i6000000
χ824-4-444-2-440022-44-2-4-2022-2000-442-200000000000000000000002-20000000000000000000000000000000−i6i6i6−i6000000
χ834-4-44-244-400-4-42-242-2022-2000-224-400000000023−23−2323000000000-2200000000023−23000000000000000000000000000000
χ844-4-44-244-400-4-42-242-2022-2000-224-4000000000−232323−23000000000-22000000000−2323000000000000000000000000000000
χ854-4-44-24-4400-4-42-242-2022-20002-2-4400000000023−23−23230000000002-2000000000−2323000000000000000000000000000000
χ864-4-44-24-4400-4-42-242-2022-20002-2-44000000000−232323−230000000002-200000000023−23000000000000000000000000000000
χ8788-8-8-4-4008-8-44-4444202-2-24-44000000-4000000000000000002-20000000000000000000000000000000000000000000
χ8888-8-8-4-400-88-44-4444202-2-2-44-4000000400000000000000000-220000000000000000000000000000000000000000000
χ898-88-88-400004-4-8-848-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400004-4444-420-22-20000000−4i34i300000000000000000000002i3−2i3000000000000000000000000000000000000000
χ918-88-8-4-400004-4444-420-22-200000004i3−4i30000000000000000000000−2i32i3000000000000000000000000000000000000000
χ928-8-88-4-48-800444-4-4420-2-22000-44-4400000000000000000000002-200000000000000000000000000000000000000000
χ938-8-88-4-4-8800444-4-4420-2-220004-44-40000000000000000000000-2200000000000000000000000000000000000000000

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