Finite Group Databasebeta

← Group #11872763

Character table — Group #11872763

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order122233446666663446661212121212124444441212121212121212121212121222244488121212121212121212122266666668121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11-1-1-1-1111111111111-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-1111-1-1-1-11111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-111-11111-1-1-1-1111111-1-111-1-1-1-1-11-1111111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-111111111-1-1-1
χ9111111111111111-1-1111111-1-1111111-1-1-1-111-1-111-1-1-1-1-111-1-1-1-1-11111-1111-1-11-111-111-1-11-1-1-111-1-1-1-111-1-11
χ10111111111111111-1-1111111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-11-1-1-1-111-1-1-1-111-1-11111-1-111-1
χ11111111111111111-1-1111111-1-111111-11-1-1-1-1-11111-1-1-1-1-111-1-1-11111111-1-1-111-1111-1-1-111-1-1-1-1-1-111-1-11111-1
χ12111111111111111-1-1111111-1-111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111-1-1-111-11-1-1-1-1-1111-11111-1-111-1-1-1-11
χ13111111111111111-1-1111111-1-11-1-1-1-11-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-11111-1-11111-1-111-1-111-1-111-1
χ14111111111111111-1-1111111-1-11-1-1-1-11-1-1-1-111-1-111-1-1-1-11-1-111111-1-1-1-1-1111-1-1-11-1-11-1-111-1111-1-111-1-111-1-11
χ15111111111111111-1-1111111-1-11-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11-1-1-1111-111111-1-1-11-1-1-1-11111-1-1-1-11
χ16111111111111111-1-1111111-1-11-1-1-1-1-11-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-1-11-1-1-1111-1-1-1111-1-1111111-1-1-1-11111-1
χ17222222-2-222222222-2222-2-2-222-222-2-200-22-20000-2-222-2-2-2002000022-2-20000000000-20000020000000000000
χ18222222-2-222222222-2222-2-2-222-2-2-22200-22-20000-2-222-2-2200-20000-2-2220000000000200000-20000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-222-2-2002-220000-2-2-2-222200-2000022-2-20000000000200000-20000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-222002-220000-2-2-2-222-20020000-2-2220000000000-20000020000000000000
χ2122222-12222-1-1-12-122-1-1-12-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-120020000-1-1-1-122-1-1-1-12200-1-1-1-1-10-10000000000000
χ2222222-12222-1-1-12-122-1-1-12-1-12222222-2-22-1-11111-1-1-1-1-1-120020000-1-1-1-1-2-21111-2-200-111110-10000000000000
χ2322222-12222-1-1-12-122-1-1-12-1-1222-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-200-20000111122-1-1-1-1-2-20011111010000000000000
χ2422222-12222-1-1-12-122-1-1-12-1-1222-2-2-2-2-2-22-1-11111-1-1-1-1-1-1-200-200001111-2-2111122001-1-1-1-1010000000000000
χ2522222-12222-1-1-12-1-2-2-1-1-12-1-1-2-2222222-2-211-1-111-1-11111-200-20000-1-1-1-1-22-1-1112-2001-1-111010000000000000
χ2622222-12222-1-1-12-1-2-2-1-1-12-1-1-2-222222-22-21111-1-1-1-11111-200-20000-1-1-1-12-211-1-1-2200111-1-1010000000000000
χ2722222-12222-1-1-12-1-2-2-1-1-12-1-1-2-22-2-2-2-22-2-211-1-111-1-11111200200001111-22-1-111-2200-111-1-10-10000000000000
χ2822222-12222-1-1-12-1-2-2-1-1-12-1-1-2-22-2-2-2-2-22-21111-1-1-1-111112002000011112-211-1-12-200-1-1-1110-10000000000000
χ2922222-1-2-222-1-1-12-12-2-1-1-1-21122-222-2-200-2-11−i3i3−i3i311-1-111-20020000-1-11100−i3i3−i3i300001−i3i3−i3i30-10000000000000
χ3022222-1-2-222-1-1-12-12-2-1-1-1-21122-222-2-200-2-11i3−i3i3−i311-1-111-20020000-1-11100i3−i3i3−i300001i3−i3i3−i30-10000000000000
χ3122222-1-2-222-1-1-12-12-2-1-1-1-21122-2-2-22200-2-11−i3i3−i3i311-1-111200-2000011-1-100−i3i3−i3i30000-1i3−i3i3−i3010000000000000
χ3222222-1-2-222-1-1-12-12-2-1-1-1-21122-2-2-22200-2-11i3−i3i3−i311-1-111200-2000011-1-100i3−i3i3−i30000-1−i3i3−i3i3010000000000000
χ3322222-1-2-222-1-1-12-1-22-1-1-1-211-2-2-222-2-20021-1−i3i3i3−i31111-1-1200-20000-1-11100−i3i3i3−i30000-1−i3i3i3−i3010000000000000
χ3422222-1-2-222-1-1-12-1-22-1-1-1-211-2-2-222-2-20021-1i3−i3−i3i31111-1-1200-20000-1-11100i3−i3−i3i30000-1i3−i3−i3i3010000000000000
χ3522222-1-2-222-1-1-12-1-22-1-1-1-211-2-2-2-2-2220021-1−i3i3i3−i31111-1-1-2002000011-1-100−i3i3i3−i300001i3−i3−i3i30-10000000000000
χ3622222-1-2-222-1-1-12-1-22-1-1-1-211-2-2-2-2-2220021-1i3−i3−i3i31111-1-1-2002000011-1-100i3−i3−i3i300001−i3i3i3−i30-10000000000000
χ372222-1222-1-1222-1-122-1-1-1-122-1-1-1000022-1222222-1-1-1-1-1-1022022220000-1-1-1-1-1-100-1-10000020-1-1-1-1-1-10000000
χ382222-1222-1-1222-1-122-1-1-1-122-1-1-1000022-1222222-1-1-1-1-1-10-2-20-2-2-2-20000-1-1-1-1-1-1001100000-201111110000000
χ392222-1222-1-1222-1-122-1-1-1-122-1-1-10000-2-2-122-2-2-2-2-1-1-1-1-1-1022022-2-2000011111100-1-100000-20-1-111110000000
χ402222-1222-1-1222-1-122-1-1-1-122-1-1-10000-2-2-122-2-2-2-2-1-1-1-1-1-10-2-20-2-22200001111110011000002011-1-1-1-10000000
χ412222-1222-1-1222-1-1-2-2-1-1-1-12211-100002-21-2-222-2-2-1-111110220-2-2-2-200001-1-1-11100-1-1000002011-1-1110000000
χ422222-1222-1-1222-1-1-2-2-1-1-1-12211-100002-21-2-222-2-2-1-111110-2-20222200001-1-1-111001100000-20-1-111-1-10000000
χ432222-1222-1-1222-1-1-2-2-1-1-1-12211-10000-221-2-2-2-222-1-111110220-2-2220000-1111-1-100-1-100000-201111-1-10000000
χ442222-1222-1-1222-1-1-2-2-1-1-1-12211-10000-221-2-2-2-222-1-111110-2-2022-2-20000-1111-1-100110000020-1-1-1-1110000000
χ4522-2-2222-22-22-2-2-22002-2-2-22-20022i−2i2i−2i0000000002-2000000002i−2i002i−2i2i−2i000000000000000002i−2i00002-200000
χ4622-2-2222-22-22-2-2-22002-2-2-22-20022i−2i2i−2i0000000002-200000000−2i2i002i−2i2i−2i00000000000000000−2i2i0000-2200000
χ4722-2-2222-22-22-2-2-22002-2-2-22-2002−2i2i−2i2i0000000002-2000000002i−2i00−2i2i−2i2i000000000000000002i−2i0000-2200000
χ4822-2-2222-22-22-2-2-22002-2-2-22-2002−2i2i−2i2i0000000002-200000000−2i2i00−2i2i−2i2i00000000000000000−2i2i00002-200000
χ4922-2-222-222-22-2-2-22002-2-22-2200-22i−2i−2i2i000000000-22000002-2000002i−2i−2i2i000000002-20000000000000002i−2i000
χ5022-2-222-222-22-2-2-22002-2-22-2200-22i−2i−2i2i000000000-2200000-22000002i−2i−2i2i00000000-22000000000000000−2i2i000
χ5122-2-222-222-22-2-2-22002-2-22-2200-2−2i2i2i−2i000000000-22000002-200000−2i2i2i−2i000000002-2000000000000000−2i2i000
χ5222-2-222-222-22-2-2-22002-2-22-2200-2−2i2i2i−2i000000000-2200000-2200000−2i2i2i−2i00000000-220000000000000002i−2i000
χ534444-24-4-4-2-2444-2-24-4-2-2-22-4-4-2-2200000024-4000022-2-222000000000000000000000000000000000000000000
χ544444-24-4-4-2-2444-2-2-44-2-2-22-4-4222000000-2-4400002222-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2000044-2-2-2-2-2-2-2111111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20000-4-4-2-2-2222211111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-21-4-4111-2-2-222-200004-4222-2-22211-1-1-1-10000000000002-211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-4111-2-2-222-20000-4422222-2-211-1-1-1-1000000000000-22-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-4111222-2-220000002-22−2i32i3−2i32i3-1-111-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-4111222-2-220000002-222i3−2i32i3−2i3-1-111-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-44111222222000000-22-2−2i32i32i3−2i3-1-1-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-44111222222000000-22-22i3−2i3−2i32i3-1-1-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-44-24-44-4-222-4-200-222-4-220044i−4i4i−4i000000000-22000000000000−2i2i−2i2i000000000000000000000000000000
χ6444-4-44-24-44-4-222-4-200-222-4-22004−4i4i−4i4i000000000-220000000000002i−2i2i−2i000000000000000000000000000000
χ6544-4-44-2-444-4-222-4-200-22242-200-44i−4i−4i4i0000000002-2000000000000−2i2i2i−2i000000000000000000000000000000
χ6644-4-44-2-444-4-222-4-200-22242-200-4−4i4i4i−4i0000000002-20000000000002i−2i−2i2i000000000000000000000000000000
χ6744-4-4-244-4-224-4-42-200-22224-400-20000000000000-22000000004i−4i00000000000000000000000−2i2i00000000000
χ6844-4-4-244-4-224-4-42-200-22224-400-20000000000000-2200000000−4i4i000000000000000000000002i−2i00000000000
χ6944-4-4-24-44-224-4-42-200-222-2-4400200000000000002-2000004-400000000000000000-2200000000000000000000
χ7044-4-4-24-44-224-4-42-200-222-2-4400200000000000002-200000-44000000000000000002-200000000000000000000
χ714-44-44400-4-4-44-44400-44-4000000000000000000000000000000000000000000000000000000000000000022−220
χ724-44-44400-4-4-44-44400-44-40000000000000000000000000000000000000000000000000000000000000000−22220
χ734-4-444400-44-4-44-4400-4-44000000000000000000000000000000022−22000000000000000000000000022−220000000
χ744-4-444400-44-4-44-4400-4-440000000000000000000000000000000−22220000000000000000000000000−22220000000
χ754-4-44-24002-2-4-442-20022-200023−23000000000000000023−230000000022−22000000000000000000000006−6−220000000
χ764-4-44-24002-2-4-442-20022-200023−23000000000000000023−2300000000−222200000000000000000000000−662−20000000
χ774-4-44-24002-2-4-442-20022-2000−23230000000000000000−23230000000022−2200000000000000000000000−66−220000000
χ784-4-44-24002-2-4-442-20022-2000−23230000000000000000−232300000000−2222000000000000000000000006−62−20000000
χ7988-8-8-4-48-8-44-44442002-2-24-4400-400000000000002-20000000000000000000000000000000000000000000000
χ8088-8-8-4-4-88-44-44442002-2-2-44-40040000000000000-220000000000000000000000000000000000000000000000
χ818-88-88-400-8-84-448-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-480044-88-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400444-44-4200-22-2000000000000000000000006i−6i000000000000000000000000000000000000000000
χ848-88-8-4-400444-44-4200-22-200000000000000000000000−6i6i000000000000000000000000000000000000000000
χ858-8-888-400-8844-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-444-44200-2-2200043−430000000000000000−232300000000000000000000000000000000000000000000
χ878-8-88-4-4004-444-44200-2-22000−4343000000000000000023−2300000000000000000000000000000000000000000000

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