Finite Group Databasebeta

← Group #11895771

Character table — Group #11895771

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444888888888888812121212121212121212121212121212121212121212121212121616161616162424242424242436364848727272
order1222334444666666346661212121212121212121222666612121212121212444444888812121212121212122424242424242424666666244661212221212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1111
χ51111111111111111111111111111111-1-1-1-1-1-111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ61111111111111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1
χ71111111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-11-1-111-1-111-1-11-1-1
χ81111111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-111
χ9111111-1-1111111111-111111-1-1-1-1-1-1111-111-1-1-111-1-1-1-11-11-11111-1-111-1-111111111-1-1-1-11-111-1-1-11-1-1-11-1111-1-11-1
χ10111111-1-1111111111-111111-1-1-1-1-1-1111-111-1-1-111-1-1-1-11-11-111-1-11111-1-11111-1-1-1-111111-111-1-1-1-11-1-11-1-1-1-111-11
χ11111111-1-1111111111-111111-1-1-1-1-1-1111-111-1-1-111-1-1-1-1-11-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111-111-11-1-11-11-11
χ12111111-1-1111111111-111111-1-1-1-1-1-1111-111-1-1-111-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-111-1-11-1111-1111-11-11-1
χ13111111-1-1111111111-111111-1-1-1-1-1-111-11-1-111-111-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1111-11111-1-1-1-1111-1
χ14111111-1-1111111111-111111-1-1-1-1-1-111-11-1-111-111-1-1-1-11-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1111-1111-1-1-11
χ15111111-1-1111111111-111111-1-1-1-1-1-111-11-1-111-111-1-1-1-1-11-111111-1-1-1-11111111111-1-1-1-1-11-1-111-1-11-1-1-1111-11-1-11
χ16111111-1-1111111111-111111-1-1-1-1-1-111-11-1-111-111-1-1-1-1-11-1111-1-111-1-1111111-1-1-1-11111-11-1-111-11-1-1-1-11-1-11-111-1
χ1722222222-2-22222222-2222-2-22222-2-2-2-2000000-2-2-222-2-222-2-2000000-2-2-2-200000000000000000000000220000000
χ1822222222-2-22222222-2222-2-22222-2-2-2-2000000-2-2-222-2-2-2-222000000222200000000000000000000000-2-20000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-222-2-20000002-2-2-2-2222-2-22000000-2-222000000000000000000000002-20000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-222-2-20000002-2-2-2-222-222-200000022-2-200000000000000000000000-220000000
χ2122222-1222222-1-12-1-12-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-10000000022-1-1-1-1200-1-1-1-10000000
χ2222222-1222222-1-12-1-12-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000111111110000000022-1-1-1-1-20011110000000
χ2322222-1222222-1-12-1-12-1-1-1-1-122-1-12222-2-21111-1-1-1-1-1-1-12222-2-20000-1-1-1-1111100000000-2-21111-20011-1-10000000
χ2422222-1222222-1-12-1-12-1-1-1-1-122-1-12222-2-21111-1-1-1-1-1-1-1-2-2-2-22200001111-1-1-1-100000000-2-21111200-1-1110000000
χ2522222-122-2-222-1-12-1-1-2-1-1-11122-1-1-2-2-2-200−i3i3−i3i3111-1-11122-2-20000001111−i3−i3i3i30000000000−i3i3−i3i3000−i3i3-1-10000000
χ2622222-122-2-222-1-12-1-1-2-1-1-11122-1-1-2-2-2-200−i3i3−i3i3111-1-111-2-222000000-1-1-1-1i3i3−i3−i30000000000−i3i3−i3i3000i3−i3110000000
χ2722222-122-2-222-1-12-1-1-2-1-1-11122-1-1-2-2-2-200i3−i3i3−i3111-1-11122-2-20000001111i3i3−i3−i30000000000i3−i3i3−i3000i3−i3-1-10000000
χ2822222-122-2-222-1-12-1-1-2-1-1-11122-1-1-2-2-2-200i3−i3i3−i3111-1-111-2-222000000-1-1-1-1−i3−i3i3i30000000000i3−i3i3−i3000−i3i3110000000
χ2922222-1-2-22222-1-12-1-1-2-1-1-1-1-1-2-211-2-2222-2-1-1111-1-111112-22-2220000-1-111-1-1-1-1000000002-2-1-111-20011-110000000
χ3022222-1-2-22222-1-12-1-1-2-1-1-1-1-1-2-211-2-2222-2-1-1111-1-11111-22-22-2-2000011-1-11111000000002-2-1-111200-1-11-10000000
χ3122222-1-2-22222-1-12-1-1-2-1-1-1-1-1-2-211-2-222-2211-1-11-1-111112-22-2-2-20000-1-111111100000000-2211-1-1200-1-1-110000000
χ3222222-1-2-22222-1-12-1-1-2-1-1-1-1-1-2-211-2-222-2211-1-11-1-11111-22-2222000011-1-1-1-1-1-100000000-2211-1-1-200111-10000000
χ3322222-1-2-2-2-222-1-12-1-12-1-1-111-2-21122-2-200−i3i3i3−i3-11111-1-12-2-2200000011-1-1−i3−i3i3i30000000000−i3i3i3−i3000i3−i3-110000000
χ3422222-1-2-2-2-222-1-12-1-12-1-1-111-2-21122-2-200−i3i3i3−i3-11111-1-1-222-2000000-1-111i3i3−i3−i30000000000−i3i3i3−i3000−i3i31-10000000
χ3522222-1-2-2-2-222-1-12-1-12-1-1-111-2-21122-2-200i3−i3−i3i3-11111-1-12-2-2200000011-1-1i3i3−i3−i30000000000i3−i3−i3i3000−i3i3-110000000
χ3622222-1-2-2-2-222-1-12-1-12-1-1-111-2-21122-2-200i3−i3−i3i3-11111-1-1-222-2000000-1-111−i3−i3i3i30000000000i3−i3−i3i3000i3−i31-10000000
χ372222-122222-1-122-12-12-1-1-122-1-122-1-1-1-12222222-1-1-1-1-1-1000000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1022000000-1-1000
χ382222-122222-1-122-12-12-1-1-122-1-122-1-1-1-12222222-1-1-1-1-1-1000000-2-2-2-20000000011111111-1-1-1-1-1-10-2-200000011000
χ392222-122222-1-122-12-12-1-1-122-1-122-1-1-1-1-2-2-2-2-2-22-1-1-1-1-1-1000000222200000000-1-1-1-1-1-1-1-11111110-2-200000011000
χ402222-122222-1-122-12-12-1-1-122-1-122-1-1-1-1-2-2-2-2-2-22-1-1-1-1-1-1000000-2-2-2-20000000011111111111111022000000-1-1000
χ412222-12-2-222-1-122-12-1-2-1-1-12211-2-211-1-12-222-2-2-2-1-1111100000022-2-200000000-1-1-1-11111-11-1-11102-2000000-11000
χ422222-12-2-222-1-122-12-1-2-1-1-12211-2-211-1-12-222-2-2-2-1-11111000000-2-222000000001111-1-1-1-1-11-1-1110-220000001-1000
χ432222-12-2-222-1-122-12-1-2-1-1-12211-2-211-1-1-22-2-222-2-1-1111100000022-2-200000000-1-1-1-111111-111-1-10-220000001-1000
χ442222-12-2-222-1-122-12-1-2-1-1-12211-2-211-1-1-22-2-222-2-1-11111000000-2-222000000001111-1-1-1-11-111-1-102-2000000-11000
χ4522-2-22200-222-22-2-2-2202-2-22-20000002-200000002-2000000002i−2i2i−2i0000002i−2i2i−2i2i2i−2i−2i000000000000000002-200000
χ4622-2-22200-222-22-2-2-2202-2-22-20000002-200000002-2000000002i−2i−2i2i0000002i−2i2i−2i−2i−2i2i2i00000000000000000-2200000
χ4722-2-22200-222-22-2-2-2202-2-22-20000002-200000002-200000000−2i2i2i−2i000000−2i2i−2i2i2i2i−2i−2i00000000000000000-2200000
χ4822-2-22200-222-22-2-2-2202-2-22-20000002-200000002-200000000−2i2i−2i2i000000−2i2i−2i2i−2i−2i2i2i000000000000000002-200000
χ494444-2444-4-4-2-244-24-2-4-2-2-2-4-4-2-2442222000000-422-2-2220000000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-2-244-24-24-2-2-2-4-422-4-4-2-22200000042222-2-20000000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-244-2-2-2-2-211111100000000000000000000000000-2-2111100000000000000
χ524444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-4-42222-21111110000000000000000000000000022-1-1-1-100000000000000
χ534444-2-244-4-4-2-2-2-2-2-21-411122-2-2-2-2222200−2i32i3−2i32i32-1-111-1-10000000000000000000000000000i3−i3i3−i300000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-411122-2-2-2-22222002i3−2i32i3−2i32-1-111-1-10000000000000000000000000000−i3i3−i3i300000000000000
χ554444-2-2-4-444-2-2-2-2-2-21-4111-2-2222222-2-24-4-2-222211-1-1-1-100000000000000000000000000-2211-1-100000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-4111-2-2222222-2-2-4422-2-2211-1-1-1-1000000000000000000000000002-2-1-11100000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-214111222222-2-22200−2i32i32i3−2i3-2-1-1-1-1110000000000000000000000000000i3−i3−i3i300000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-214111222222-2-222002i3−2i3−2i32i3-2-1-1-1-1110000000000000000000000000000−i3i3i3−i300000000000000
χ5944-4-444004-44-44-4-4-4404-4-4-44000000-440000000-4400000000000000000000000000000000000000000000000000
χ6044-4-44-2004-44-4-22-42-20-2222-2000000-4400000002-200000000000000000023−23−23230000000000000000000000000000
χ6144-4-44-2004-44-4-22-42-20-2222-2000000-4400000002-2000000000000000000−232323−230000000000000000000000000000
χ6244-4-44-200-444-4-22-42-20-222-220000004-40000000-22000000004i−4i00000000−2i2i−2i2i0000000000000000000000000000
χ6344-4-44-200-444-4-22-42-20-222-220000004-40000000-2200000000−4i4i000000002i−2i2i−2i0000000000000000000000000000
χ6444-4-4-24004-4-224-42-4-20-222-440000002-200000002-2000000000000000000000000002323−23−2300000000000000000000
χ6544-4-4-24004-4-224-42-4-20-222-440000002-200000002-200000000000000000000000000−23−23232300000000000000000000
χ6644-4-4-2400-44-224-42-4-20-2224-4000000-220000000-2200000000004i−4i0000000000−2i−2i2i2i000000000000000000000000
χ6744-4-4-2400-44-224-42-4-20-2224-4000000-220000000-220000000000−4i4i00000000002i2i−2i−2i000000000000000000000000
χ684-44-4440000-4-4-444-440-44-4000000000000000000000000000000022−2200000000000022−2222−2200000000000000000000
χ694-44-4440000-4-4-444-440-44-40000000000000000000000000000000−2222000000000000−2222−222200000000000000000000
χ704-44-4-24000022-44-2-4-202-22000000−2i32i30000000000000−2i32i30000000022−2200000000i6−i6i6−i6−22−2200000000000000000000
χ714-44-4-24000022-44-2-4-202-22000000−2i32i30000000000000−2i32i300000000−222200000000−i6i6−i6i62−22−200000000000000000000
χ724-44-4-24000022-44-2-4-202-220000002i3−2i300000000000002i3−2i30000000022−2200000000−i6i6−i6i6−22−2200000000000000000000
χ734-44-4-24000022-44-2-4-202-220000002i3−2i300000000000002i3−2i300000000−222200000000i6−i6i6−i62−22−200000000000000000000
χ744-4-44444-400-44-4-4-4440-4-44004-44-400000000000004-4000000000000000000000000000000000000000000000000
χ754-4-4444-4400-44-4-4-4440-4-4400-44-440000000000000-44000000000000000000000000000000000000000000000000
χ764-4-444-24-400-4422-4-2-2022-2004-4-220000000000000-22000000000000−2i32i3−2i32i300000000000000000000000000000000
χ774-4-444-24-400-4422-4-2-2022-2004-4-220000000000000-220000000000002i3−2i32i3−2i300000000000000000000000000000000
χ784-4-444-2-4400-4422-4-2-2022-200-442-200000000000002-2000000000000−2i32i32i3−2i300000000000000000000000000000000
χ794-4-444-2-4400-4422-4-2-2022-200-442-200000000000002-20000000000002i3−2i3−2i32i300000000000000000000000000000000
χ804-4-44-244-4002-2-4-424-2022-200-224-40000000000000-22000000000000000000006−6−666−6−6600000000000000000000
χ814-4-44-244-4002-2-4-424-2022-200-224-40000000000000-2200000000000000000000−666−6−666−600000000000000000000
χ824-4-44-24-44002-2-4-424-2022-2002-2-4400000000000002-2000000000000000000006−6−66−666−600000000000000000000
χ834-4-44-24-44002-2-4-424-2022-2002-2-4400000000000002-200000000000000000000−666−66−6−6600000000000000000000
χ8488-8-8-4-4008-8-44-4444202-2-24-40000004-40000000-2200000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-88-44-4444202-2-2-44000000-4400000002-200000000000000000000000000000000000000000000000000
χ868-88-88-40000-8-84-484-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-40000444-4-4420-22-2000000−4i34i300000000000002i3−2i30000000000000000000000000000000000000000000000
χ888-88-8-4-40000444-4-4420-22-20000004i3−4i30000000000000−2i32i30000000000000000000000000000000000000000000000
χ898-8-88-4-48-8004-4444-420-2-2200-44-4400000000000002-2000000000000000000000000000000000000000000000000
χ908-8-88-4-4-88004-4444-420-2-22004-44-40000000000000-22000000000000000000000000000000000000000000000000

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