Finite Group Databasebeta

← Group #11868953

Character table — Group #11868953

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order122233446666663446661212121212122244441212121212121212121212121222444466881212121212121212446681212121212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-111-1-111-1-11111111111-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111-1-111-1-11-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-111111111111111111-1-111-1-111-1-1111111-1-1111-111-1-1-1-1-11111-1-1-1-1-1-1-1
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
χ711111111111111111111111111-1-1-1-1-1-111-1-11-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11111-1-1-1-1-1-1-1-1111
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
χ9111111111111111-1-1111111-1-1111111-1-1-111-1-1-111-1-1-1-111-1-1-1-111-1-1111-111-1-11-1111-1-1-1-111-1-111-1-111-1-1-1-11
χ10111111111111111-1-1111111-1-1111111-1-1-111-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-11-1-1-1-1-111-111-1-1-1-111-1-11111-1
χ11111111111111111-1-1111111-1-111111-11-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-11-1-111-1111-1-1-1-1-1-1-111-1-11111-1-111-1
χ12111111111111111-1-1111111-1-111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-11-1-111-11-1-11-111-1-1-11111-1-1-1-111-1-11
χ13111111111111111-1-1111111-1-11-1-1-1-11-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-111111-1-11-1-11111-1-1-1-11111-1
χ14111111111111111-1-1111111-1-11-1-1-1-11-1-1-111-1-1-111-1-1-1-1-1-11111-1-111-1-11-111-1-1-11-1-1-11111-1-111-1-11111-1-1-1-11
χ15111111111111111-1-1111111-1-11-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-11-1-1111-111-11-1-1111-1-1-1-111-1-111-1-11
χ16111111111111111-1-1111111-1-11-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1111-1-1-11111111-1-111-1-111-1-111-1
χ17222222-2-222222222-2222-2-2-222-222-2-200-2-200200-2-222-2-2002-2002200-2-200000000000200-2000000000000000
χ18222222-2-222222222-2222-2-2-222-2-2-22200-2-200200-2-222-2-200-2200-2-2002200000000000-2002000000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-222-2-2002200-200-2-2-2-22200-22002200-2-200000000000-2002000000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-222002200-200-2-2-2-222002-200-2-2002200000000000200-2000000000000000
χ2122222-122-1-122-12-122-1-1-1-122-1-1-1000022-1222222-1-1-1-1-1-1220022002200-1-1-1-1-1-100-1-120-1-100000-1-1-1-10000000
χ2222222-122-1-122-12-122-1-1-1-122-1-1-1000022-1222222-1-1-1-1-1-1-2-200-2-200-2-200-1-1-1-1-1-10011-20110000011110000000
χ2322222-122-1-122-12-122-1-1-1-122-1-1-10000-2-2-12-2-22-2-2-1-1-1-1-1-122002200-2-20011111100-1-1-20-1-10000011110000000
χ2422222-122-1-122-12-122-1-1-1-122-1-1-10000-2-2-12-2-22-2-2-1-1-1-1-1-1-2-200-2-20022001111110011201100000-1-1-1-10000000
χ2522222-122-1-122-12-1-2-2-1-1-1-12211-100002-21-222-2-2-2-1-111112200-2-200-2-200-11-1-11100-1-1201100000-1-1110000000
χ2622222-122-1-122-12-1-2-2-1-1-1-12211-100002-21-222-2-2-2-1-11111-2-20022002200-11-1-1110011-20-1-10000011-1-10000000
χ2722222-122-1-122-12-1-2-2-1-1-1-12211-10000-221-2-2-2-222-1-111112200-2-20022001-111-1-100-1-1-20110000011-1-10000000
χ2822222-122-1-122-12-1-2-2-1-1-1-12211-10000-221-2-2-2-222-1-11111-2-2002200-2-2001-111-1-1001120-1-100000-1-1110000000
χ292222-122222-1-12-1-122-1-1-12-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1002200-1-100-1-122-1-1-1-122000-100-1-1-1-1-100000000000
χ302222-122222-1-12-1-122-1-1-12-1-12222222-2-22-111-111-1-1-1-1-1-1002200-1-100-1-1-2-21111-2-2000-100-1111100000000000
χ312222-122222-1-12-1-122-1-1-12-1-1222-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-100-2-20011001122-1-1-1-1-2-20001001111100000000000
χ322222-122222-1-12-1-122-1-1-12-1-1222-2-2-2-2-2-22-111-111-1-1-1-1-1-100-2-200110011-2-21111220001001-1-1-1-100000000000
χ332222-122222-1-12-1-1-2-2-1-1-12-1-1-2-2222222-2-21-1-1111-1-1111100-2-200-1-100-1-12-2-1-1112-20001001-1-11100000000000
χ342222-122222-1-12-1-1-2-2-1-1-12-1-1-2-222222-22-21111-1-1-1-1111100-2-200-1-100-1-1-2211-1-1-22000100111-1-100000000000
χ352222-122222-1-12-1-1-2-2-1-1-12-1-1-2-22-2-2-2-22-2-21-1-1111-1-111110022001100112-2-1-111-22000-100-111-1-100000000000
χ362222-122222-1-12-1-1-2-2-1-1-12-1-1-2-22-2-2-2-2-22-21111-1-1-1-11111002200110011-2211-1-12-2000-100-1-1-11100000000000
χ372222-12-2-222-1-12-1-12-2-1-1-1-21122-222-2-200-21−i3i3-1−i3i311-1-111002-200-1-1001100−i3i3−i3i300000-1001−i3i3−i3i300000000000
χ382222-12-2-222-1-12-1-12-2-1-1-1-21122-222-2-200-21i3−i3-1i3−i311-1-111002-200-1-1001100i3−i3i3−i300000-1001i3−i3i3−i300000000000
χ392222-12-2-222-1-12-1-12-2-1-1-1-21122-2-2-22200-21−i3i3-1−i3i311-1-11100-22001100-1-100−i3i3−i3i300000100-1i3−i3i3−i300000000000
χ402222-12-2-222-1-12-1-12-2-1-1-1-21122-2-2-22200-21i3−i3-1i3−i311-1-11100-22001100-1-100i3−i3i3−i300000100-1−i3i3−i3i300000000000
χ412222-12-2-222-1-12-1-1-22-1-1-1-211-2-2-222-2-2002-1−i3i31i3−i31111-1-100-2200-1-1001100−i3i3i3−i300000100-1−i3i3i3−i300000000000
χ422222-12-2-222-1-12-1-1-22-1-1-1-211-2-2-222-2-2002-1i3−i31−i3i31111-1-100-2200-1-1001100i3−i3−i3i300000100-1i3−i3−i3i300000000000
χ432222-12-2-222-1-12-1-1-22-1-1-1-211-2-2-2-2-222002-1−i3i31i3−i31111-1-1002-2001100-1-100−i3i3i3−i300000-1001i3−i3−i3i300000000000
χ442222-12-2-222-1-12-1-1-22-1-1-1-211-2-2-2-2-222002-1i3−i31−i3i31111-1-1002-2001100-1-100i3−i3−i3i300000-1001−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
χ4922-2-222-222-22-2-2-22002-2-2-2-220022-2-22000000000-22000000002i−2i2-200-220000000000002i−2i000000000002i−2i000
χ5022-2-222-222-22-2-2-22002-2-2-2-220022-2-22000000000-2200000000−2i2i2-200-22000000000000−2i2i00000000000−2i2i000
χ5122-2-222-222-22-2-2-22002-2-2-2-22002-222-2000000000-22000000002i−2i-22002-20000000000002i−2i00000000000−2i2i000
χ5222-2-222-222-22-2-2-22002-2-2-2-22002-222-2000000000-2200000000−2i2i-22002-2000000000000−2i2i000000000002i−2i000
χ5344444-2-4-4-2-244-24-24-4-2-2-22-4-4-2-220000002-40040022-2-222000000000000000000000000000000000000000000
χ5444444-2-4-4-2-244-24-2-44-2-2-22-4-4222000000-2400-4002222-2-2000000000000000000000000000000000000000000
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
χ574444-2-244-2-2-2-2-2-21-4-4111-2-2-222-200004-422-2-222211-1-1-1-1000000000000-2211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-4111-2-2-222-20000-4422222-2-211-1-1-1-10000000000002-2-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-4111222-2-2200000022−2i32i3-2−2i32i3-1-111-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-4111222-2-22000000222i3−2i3-22i3−2i3-1-111-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-44111222222000000-2-2−2i32i322i3−2i3-1-1-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-44111222222000000-2-22i3−2i32−2i32i3-1-1-1-11100000000000000−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
χ6544-4-44-2-44-224-42-4-200-2222-4400-200000000000002-2000000004i−4i000000000000000000−2i2i0000000000000000
χ6644-4-44-2-44-224-42-4-200-2222-4400-200000000000002-200000000−4i4i0000000000000000002i−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
χ714-44-44400-44-44-4-4400-44-4000000000000000000000000000000000−2i22i200000000000000000000000−2i22i20000000
χ724-44-44400-44-44-4-4400-44-40000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i20000000
χ734-44-44-2002-2-442-4-2002-2200023−23000000000000000023−230000000000−2i22i2000000000000000000000i6−i6i2−i20000000
χ744-44-44-2002-2-442-4-2002-2200023−23000000000000000023−2300000000002i2−2i2000000000000000000000−i6i6−i2i20000000
χ754-44-44-2002-2-442-4-2002-22000−23230000000000000000−23230000000000−2i22i2000000000000000000000−i6i6i2−i20000000
χ764-44-44-2002-2-442-4-2002-22000−23230000000000000000−232300000000002i2−2i2000000000000000000000i6−i6−i2i20000000
χ774-4-444400-4-4-4-444400-4-44000000000000000000000000000000000000000000000000000000000000000022−220
χ784-4-444400-4-4-4-444400-4-440000000000000000000000000000000000000000000000000000000000000000−22220
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
χ818-88-8-4800-884-4-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-44-444200-22-200043−430000000000000000−232300000000000000000000000000000000000000000000
χ838-88-8-4-4004-44-444200-22-2000−4343000000000000000023−2300000000000000000000000000000000000000000000
χ848-8-888-40044-8-8-48-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-8-8448-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-4200-2-22000000000000000000000006i−6i000000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-4200-2-2200000000000000000000000−6i6i000000000000000000000000000000000000000000

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