Finite Group Databasebeta

← Group #11868951

Character table — Group #11868951

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order122233446666663446661212121212122244441212121212121212121212121222444466881212121212121212446681212121212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-11-1-1111-1-11111111111-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-11-1-111111111111111-1-111-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-111-1-11-1-1111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-111111111111111111-111-1-1-111-1-1111111-1-1111-111-1-1-1-1-11111-1-1-1-1-1-1-1
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
χ711111111111111111111111111-1-1-1-1-1-111-1-11-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-111-1-11-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1-1-1111111111111-1-1-1
χ9111111111111111-1-1111111-1-1111111-1-1-111-1-1-111-1-1-1-111-1-1-1-111-1-111-1111-1-11-1111-1-1-1-111-1-111-1-111-1-1-1-11
χ10111111111111111-1-1111111-1-1111111-1-1-111-1-1-111-1-1-1-1-1-1-111-1111111-1111-1-11-1-1-1-1-111-111-1-1-1-111-1-11111-1
χ11111111111111111-1-1111111-1-111111-11-1-1-1-1-11111-1-1-1-111-1-1-1-11111111-1-1-111-1111-1-1-1-1-1-1-111-1-11111-1-111-1
χ12111111111111111-1-1111111-1-111111-11-1-1-1-1-11111-1-1-1-1-1-1-111-111-1-1111-1-1-111-11-1-11-111-1-1-11111-1-1-1-111-1-11
χ13111111111111111-1-1111111-1-11-1-1-1-11-1-1-111-1-1-111-1-1-1-1111-1-11-1-1-1-1-1-1-1111-1-1-111111-1-11-1-11111-1-1-1-11111-1
χ14111111111111111-1-1111111-1-11-1-1-1-11-1-1-111-1-1-111-1-1-1-1-1-11111-1-111-1-1-1111-1-1-11-1-1-11111-1-111-1-11111-1-1-1-11
χ15111111111111111-1-1111111-1-11-1-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1-11-1-111-1-11-1-1-1111-111-11-1-1111-1-1-1-111-1-111-1-11
χ16111111111111111-1-1111111-1-11-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1111-1-1-11111111-1-111-1-111-1-111-1
χ17222222-2-222222222-2222-2-2-222-222-2-200-2200-200-2-222-2-200-20022200-2-200000000000-2002000000000000000
χ18222222-2-222222222-2222-2-2-222-2-2-22200-2200-200-2-222-2-200200-2-2-2002200000000000200-2000000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-222-2-2002-200200-2-2-2-22200200-22200-2-200000000000200-2000000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-222002-200200-2-2-2-22200-2002-2-2002200000000000-2002000000000000000
χ2122222-122-1-122-12-122-1-1-1-122-1-1-1000022-1222222-1-1-1-1-1-1220220002200-1-1-1-1-1-100-1-120-1-100000-1-1-1-10000000
χ2222222-122-1-122-12-122-1-1-1-122-1-1-1000022-1222222-1-1-1-1-1-1-2-20-2-2000-2-200-1-1-1-1-1-10011-20110000011110000000
χ2322222-122-1-122-12-122-1-1-1-122-1-1-10000-2-2-12-2-22-2-2-1-1-1-1-1-122022000-2-20011111100-1-1-20-1-10000011110000000
χ2422222-122-1-122-12-122-1-1-1-122-1-1-10000-2-2-12-2-22-2-2-1-1-1-1-1-1-2-20-2-200022001111110011201100000-1-1-1-10000000
χ2522222-122-1-122-12-1-2-2-1-1-1-12211-100002-21-222-2-2-2-1-11111220-2-2000-2-2001-1-1-11100-1-1201100000-1-1110000000
χ2622222-122-1-122-12-1-2-2-1-1-1-12211-100002-21-222-2-2-2-1-11111-2-202200022001-1-1-1110011-20-1-10000011-1-10000000
χ2722222-122-1-122-12-1-2-2-1-1-1-12211-10000-221-2-2-2-222-1-11111220-2-20002200-1111-1-100-1-1-20110000011-1-10000000
χ2822222-122-1-122-12-1-2-2-1-1-1-12211-10000-221-2-2-2-222-1-11111-2-2022000-2-200-1111-1-1001120-1-100000-1-1110000000
χ292222-122222-1-12-1-122-1-1-12-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1002002-1-100-1-122-1-1-1-122000-100-1-1-1-1-100000000000
χ302222-122222-1-12-1-122-1-1-12-1-12222222-2-22-111-111-1-1-1-1-1-1002002-1-100-1-1-2-21111-2-2000-100-1111100000000000
χ312222-122222-1-12-1-122-1-1-12-1-1222-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-100-200-211001122-1-1-1-1-2-20001001111100000000000
χ322222-122222-1-12-1-122-1-1-12-1-1222-2-2-2-2-2-22-111-111-1-1-1-1-1-100-200-2110011-2-21111220001001-1-1-1-100000000000
χ332222-122222-1-12-1-1-2-2-1-1-12-1-1-2-2222222-2-21-1-1111-1-1111100-200-2-1-100-1-1-22-1-1112-20001001-1-11100000000000
χ342222-122222-1-12-1-1-2-2-1-1-12-1-1-2-222222-22-21111-1-1-1-1111100-200-2-1-100-1-12-211-1-1-22000100111-1-100000000000
χ352222-122222-1-12-1-1-2-2-1-1-12-1-1-2-22-2-2-2-22-2-21-1-1111-1-11111002002110011-22-1-111-22000-100-111-1-100000000000
χ362222-122222-1-12-1-1-2-2-1-1-12-1-1-2-22-2-2-2-2-22-21111-1-1-1-111110020021100112-211-1-12-2000-100-1-1-11100000000000
χ372222-12-2-222-1-12-1-12-2-1-1-1-21122-222-2-200-2-1−i3i31−i3i311-1-11100-2002-1-1001100−i3i3−i3i300000100-1−i3i3−i3i300000000000
χ382222-12-2-222-1-12-1-12-2-1-1-1-21122-222-2-200-2-1i3−i31i3−i311-1-11100-2002-1-1001100i3−i3i3−i300000100-1i3−i3i3−i300000000000
χ392222-12-2-222-1-12-1-12-2-1-1-1-21122-2-2-22200-2-1−i3i31−i3i311-1-11100200-21100-1-100−i3i3−i3i300000-1001i3−i3i3−i300000000000
χ402222-12-2-222-1-12-1-12-2-1-1-1-21122-2-2-22200-2-1i3−i31i3−i311-1-11100200-21100-1-100i3−i3i3−i300000-1001−i3i3−i3i300000000000
χ412222-12-2-222-1-12-1-1-22-1-1-1-211-2-2-222-2-20021−i3i3-1i3−i31111-1-100200-2-1-1001100−i3i3i3−i300000-1001−i3i3i3−i300000000000
χ422222-12-2-222-1-12-1-1-22-1-1-1-211-2-2-222-2-20021i3−i3-1−i3i31111-1-100200-2-1-1001100i3−i3−i3i300000-1001i3−i3−i3i300000000000
χ432222-12-2-222-1-12-1-1-22-1-1-1-211-2-2-2-2-2220021−i3i3-1i3−i31111-1-100-20021100-1-100−i3i3i3−i300000100-1i3−i3−i3i300000000000
χ442222-12-2-222-1-12-1-1-22-1-1-1-211-2-2-2-2-2220021i3−i3-1−i3i31111-1-100-20021100-1-100i3−i3−i3i300000100-1−i3i3i3−i300000000000
χ4522-2-2222-22-22-2-2-22002-2-222-200-22-22-20000000002-200002-200002-2002-2000000002-200000000000002-200000
χ4622-2-2222-22-22-2-2-22002-2-222-200-22-22-20000000002-20000-2200002-2002-200000000-220000000000000-2200000
χ4722-2-2222-22-22-2-2-22002-2-222-200-2-22-220000000002-200002-20000-2200-22000000002-20000000000000-2200000
χ4822-2-2222-22-22-2-2-22002-2-222-200-2-22-220000000002-20000-220000-2200-2200000000-2200000000000002-200000
χ4922-2-222-222-22-2-2-22002-2-2-2-220022-2-22000000000-2200000002i−2i02-200-220000000000002i−2i000000000002i−2i000
χ5022-2-222-222-22-2-2-22002-2-2-2-220022-2-22000000000-220000000−2i2i02-200-22000000000000−2i2i00000000000−2i2i000
χ5122-2-222-222-22-2-2-22002-2-2-2-22002-222-2000000000-2200000002i−2i0-22002-20000000000002i−2i00000000000−2i2i000
χ5222-2-222-222-22-2-2-22002-2-2-2-22002-222-2000000000-220000000−2i2i0-22002-2000000000000−2i2i000000000002i−2i000
χ5344444-2-4-4-2-244-24-24-4-2-2-22-4-4-2-220000002400-40022-2-222000000000000000000000000000000000000000000
χ5444444-2-4-4-2-244-24-2-44-2-2-22-4-4222000000-2-4004002222-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2000044-2-2-2-2-2-2-2111111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20000-4-4-2-222-22211111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-21-4-4111-2-2-222-200004-422-2-222211-1-1-1-10000000000002-211-1-1000000000000000000000000
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
χ594444-2-2-4-4-2-2-2-2-2-214-4111222-2-220000002-2−2i32i32−2i32i3-1-111-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-4111222-2-220000002-22i3−2i322i3−2i3-1-111-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-44111222222000000-22−2i32i3-22i3−2i3-1-1-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-44111222222000000-222i3−2i3-2−2i32i3-1-1-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-44-24-4-224-42-4-200-222-24-40020000000000000-2200004-4000000000000000000-2200000000000000000000
χ6444-4-44-24-4-224-42-4-200-222-24-40020000000000000-220000-440000000000000000002-200000000000000000000
χ6544-4-44-2-44-224-42-4-200-2222-4400-200000000000002-200000004i−4i0000000000000000000−2i2i0000000000000000
χ6644-4-44-2-44-224-42-4-200-2222-4400-200000000000002-20000000−4i4i00000000000000000002i−2i0000000000000000
χ6744-4-4-244-44-4-22-42-200-2224-2200-44-44-4000000000-220000000000-2200-22000000000000000000000000000000
χ6844-4-4-244-44-4-22-42-200-2224-2200-4-44-44000000000-2200000000002-2002-2000000000000000000000000000000
χ6944-4-4-24-444-4-22-42-200-222-42-20044-4-440000000002-20000000000-22002-2000000000000000000000000000000
χ7044-4-4-24-444-4-22-42-200-222-42-2004-444-40000000002-200000000002-200-22000000000000000000000000000000
χ714-44-44400-4-4-444-4400-44-40000000000000000000000000000000000000000000000000000000000000000−2i22i20
χ724-44-44400-4-4-444-4400-44-400000000000000000000000000000000000000000000000000000000000000002i2−2i20
χ734-4-444400-44-4-4-44400-4-4400000000000000000000000000000000022−220000000000000000000000022−220000000
χ744-4-444400-44-4-4-44400-4-44000000000000000000000000000000000−222200000000000000000000000−22220000000
χ754-4-444-2002-2-4-424-20022-200023−23000000000000000023−23000000000022−220000000000000000000006−6−220000000
χ764-4-444-2002-2-4-424-20022-200023−23000000000000000023−230000000000−2222000000000000000000000−662−20000000
χ774-4-444-2002-2-4-424-20022-2000−23230000000000000000−2323000000000022−22000000000000000000000−66−220000000
χ784-4-444-2002-2-4-424-20022-2000−23230000000000000000−23230000000000−22220000000000000000000006−62−20000000
χ7988-8-8-4-48-8-44-44442002-2-2-4-4400400000000000002-20000000000000000000000000000000000000000000000
χ8088-8-8-4-4-88-44-44442002-2-244-400-40000000000000-220000000000000000000000000000000000000000000000
χ818-88-88-40044-88-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4800-8-84-484-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400444-4-44200-22-2000000000000000000000006i−6i000000000000000000000000000000000000000000
χ848-88-8-4-400444-4-44200-22-200000000000000000000000−6i6i000000000000000000000000000000000000000000
χ858-8-88-4800-8844-8-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-4444-4200-2-2200043−430000000000000000−232300000000000000000000000000000000000000000000
χ878-8-88-4-4004-4444-4200-2-22000−4343000000000000000023−2300000000000000000000000000000000000000000000

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