Finite Group Databasebeta

← Group #11886869

Character table — Group #11886869

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11222222222444444444444444444488888888888888881212121212121212121212121616161618182424242424242424242424242424242424243636367272
order12233446688223446668121212121212242424246666612121212122424242424242244666612121212661212882244666688121212122424242444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-11-111-1-111-1-11111-1-11-11-111-1-11-111-1-111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-11-11-1-111-1-1111111-1-1-11-11-1-111-11-1-111-1-111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111-1-11-1-111111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1
χ611111111111-1-11-1-111111111111111-1-1-1-11-1-1-1-111111111-11-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1111-1-1-11111-1-1-1-1-111
χ711111111111-1-11-1-111111111111111-1-1-1-11-1-1-1-11111111-11-11-1-111-1-111-1-1-1-1-1-11-11-111-1-1-1111-1-1-1-111-1-1-111
χ811111111111-1-11-1-111111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1111-1-1
χ9111111111-1-11-111-1111-1111111-1-1-1-111-1-1111-1-11-1-1-1-1-1-11111111111111-11-1111-1-1111-1-1-1-1-1-111-1-1-1-1-1-111-1
χ10111111111-1-11-111-1111-1111111-1-1-1-111-1-1111-1-11-1-1-1-1-1-11-11-111-1-111-1-11-11-1-1-111-1-11111-11-1-1-1-1-1-11111-1-11
χ11111111111-1-11-111-1111-1111111-1-1-1-111-1-1111-1-11-1-1-1-1-1-1-11-11-1-111-1-1111-11-1-1-1-1-111-1-1-1-11-1111111-1-111-1-11
χ12111111111-1-11-111-1111-1111111-1-1-1-111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-111-1-1-1111111-1-11111-1-111-1
χ13111111111-1-1-111-11111-1111111-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1111111111111-11-1111-111-1-1-111-1-111-1-1-1-1-1-1-1-11-11
χ14111111111-1-1-111-11111-1111111-1-1-1-1-1-1111-1-1111-1-1-1-1-1-11-11-111-1-111-1-1-11-11-1-1-1-111-1-1-1-1-111111-1-11111-11-1
χ15111111111-1-1-111-11111-1111111-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-11-11-1-111-1-111-11-11-1-111-1-111111-1-1-1-1-111-1-111-11-1
χ16111111111-1-1-111-11111-1111111-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1111-1-111-1-1111111-1-11-11
χ172222-1222-12222-1222-1-122-1-1-12-122-1-12-12-1-12-12-1-12-1-1-1-1-1020200-1-100-1-1-1-1-1-100020200-1-10200-1-100-1-100000
χ182222-1222-12222-1222-1-122-1-1-12-122-1-12-12-1-12-12-1-12-1-1-1-1-10-20-200110011-1-1-1-1000-20-200110-20011001100000
χ192222-1222-122-2-2-1-2-22-1-122-1-1-12-122-1-1-21-21-1-21-21-12-1-1-1-1-1020200-1-100-1-11111000-20-2001102001100-1-100000
χ202222-1222-122-2-2-1-2-22-1-122-1-1-12-122-1-1-21-21-1-21-21-12-1-1-1-1-10-20-200110011111100020200-1-10-200-1-1001100000
χ212222-1222-1-2-22-2-12-22-1-1-22-1-1-12-1-2-2112-1-21-12-1-21-1-211111020200-1-100-1-1-11-11000-20200110-200-1-1001100000
χ222222-1222-1-2-22-2-12-22-1-1-22-1-1-12-1-2-2112-1-21-12-1-21-1-2111110-20-200110011-11-1100020-200-1-102001100-1-100000
χ232222-1222-1-2-2-22-1-222-1-1-22-1-1-12-1-2-211-212-1-1-212-1-1-211111020200-1-100-1-11-11-100020-200-1-10-20011001100000
χ242222-1222-1-2-2-22-1-222-1-1-22-1-1-12-1-2-211-212-1-1-212-1-1-2111110-20-2001100111-11-1000-20200110200-1-100-1-100000
χ25222-1222-122222-122-12-12-12-1-1-12-1-122-12-12-1-12-12-1-12-1-1-1-12020-1-100-1-100-1-1-1-1002020-1-10020-1-100-1-10000000
χ26222-1222-122222-122-12-12-12-1-1-12-1-122-12-12-1-12-12-1-12-1-1-1-1-20-2011001100-1-1-1-100-20-201100-201100110000000
χ27222-1222-1222-2-2-1-2-2-12-12-12-1-1-12-1-1221-21-2-11-21-2-1-12-1-1-1-12020-1-100-1-100111100-20-201100201100-1-10000000
χ28222-1222-1222-2-2-1-2-2-12-12-12-1-1-12-1-1221-21-2-11-21-2-1-12-1-1-1-1-20-20110011001111002020-1-100-20-1-100110000000
χ29222-1222-12-2-22-2-12-2-12-1-2-12-1-1-1211-2-2-121-2-1-121-2-11-211112020-1-100-1-100-11-110020-20-1-100-201100110000000
χ30222-1222-12-2-22-2-12-2-12-1-2-12-1-1-1211-2-2-121-2-1-121-2-11-21111-20-2011001100-11-1100-2020110020-1-100-1-10000000
χ31222-1222-12-2-2-22-1-22-12-1-2-12-1-1-1211-2-21-2-12-11-2-12-11-211112020-1-100-1-1001-11-100-20201100-20-1-100110000000
χ32222-1222-12-2-2-22-1-22-12-1-2-12-1-1-1211-2-21-2-12-11-2-12-11-21111-20-20110011001-11-10020-20-1-100201100-1-10000000
χ3322-2222-222222-22-22-2-22-2-2-2-2-222222222-2-2-2-2-2222-2-222-2-20000000000002-2-220000000000000000000000000
χ3422-2222-22222-2222-2-2-22-2-2-2-2-2222222-2-222-222-2-22-2-222-2-2000000000000-222-20000000000000000000000000
χ3522-2222-222-2-2222-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-2-2222-2-22200000000000022-2-20000000000000000000000000
χ3622-2222-222-2-2-2-2222-2-222-2-2-2-222-2-2-2-2-2-2-2-2-22222222-2-222000000000000-2-2220000000000000000000000000
χ3722-222-22220000200-2-2202222-2-200000000-20000-200000022-2-22222-2-2-2-20000-2-200000000000000000000200
χ3822-222-22220000200-2-2202222-2-200000000-20000-20000002-2-2222-2-2-2-22200002200000000000000000000-200
χ3922-222-22220000200-2-2202222-2-200000000-20000-2000000-222-2-2-22222-2-200002200000000000000000000-200
χ4022-222-22220000200-2-2202222-2-200000000-20000-2000000-2-222-2-2-2-222220000-2-200000000000000000000200
χ4122-22-12-22-1222-2-1-22-21-1-2-21112-122-1-12-1-211-212-1-1-21-1-111000000−i3i300−i3i3-111-100000000−i3i30000−i3i300−i3i300000
χ4222-22-12-22-1222-2-1-22-21-1-2-21112-122-1-12-1-211-212-1-1-21-1-111000000i3−i300i3−i3-111-100000000i3−i30000i3−i300i3−i300000
χ4322-22-12-22-122-22-12-2-21-1-2-21112-122-1-1-212-112-1-21-1-21-1-111000000−i3i300−i3i31-1-1100000000i3−i30000i3−i300−i3i300000
χ4422-22-12-22-122-22-12-2-21-1-2-21112-122-1-1-212-112-1-21-1-21-1-111000000i3−i300i3−i31-1-1100000000−i3i30000−i3i300i3−i300000
χ4522-22-12-22-1-2-222-1-2-2-21-12-21112-1-2-2112-12-11-21-21-12-111-1-1000000−i3i300−i3i3-1-11100000000i3−i30000−i3i300i3−i300000
χ4622-22-12-22-1-2-222-1-2-2-21-12-21112-1-2-2112-12-11-21-21-12-111-1-1000000i3−i300i3−i3-1-11100000000−i3i30000i3−i300−i3i300000
χ4722-22-12-22-1-2-2-2-2-122-21-12-21112-1-2-211-21-2112-12-1-12-111-1-1000000−i3i300−i3i311-1-100000000−i3i30000i3−i300i3−i300000
χ4822-22-12-22-1-2-2-2-2-122-21-12-21112-1-2-211-21-2112-12-1-12-111-1-1000000i3−i300i3−i311-1-100000000i3−i30000−i3i300−i3i300000
χ4922-2-122-2-12222-2-1-221-2-1-21-211-12-1-122-121-211-2-12-11-2-1-1110000−i3i300−i3i300-111-1000000−i3i30000−i3i300−i3i30000000
χ5022-2-122-2-12222-2-1-221-2-1-21-211-12-1-122-121-211-2-12-11-2-1-1110000i3−i300i3−i300-111-1000000i3−i30000i3−i300i3−i30000000
χ5122-2-122-2-1222-22-12-21-2-1-21-211-12-1-1221-2-121-121-2-11-2-1-1110000−i3i300−i3i3001-1-11000000i3−i30000i3−i300−i3i30000000
χ5222-2-122-2-1222-22-12-21-2-1-21-211-12-1-1221-2-121-121-2-11-2-1-1110000i3−i300i3−i3001-1-11000000−i3i30000−i3i300i3−i30000000
χ5322-2-122-2-12-2-222-1-2-21-2-121-211-1211-2-2-12-1211-21-2-1-1211-1-10000−i3i300−i3i300-1-111000000−i3i30000i3−i300i3−i30000000
χ5422-2-122-2-12-2-222-1-2-21-2-121-211-1211-2-2-12-1211-21-2-1-1211-1-10000i3−i300i3−i300-1-111000000i3−i30000−i3i300−i3i30000000
χ5522-2-122-2-12-2-2-2-2-1221-2-121-211-1211-2-21-21-21-12-12-1-1211-1-10000−i3i300−i3i30011-1-1000000i3−i30000−i3i300i3−i30000000
χ5622-2-122-2-12-2-2-2-2-1221-2-121-211-1211-2-21-21-21-12-12-1-1211-1-10000i3−i300i3−i30011-1-1000000−i3i30000i3−i300−i3i30000000
χ5744444-4-44400004004440-4-4-4-4-4-40000000040000-400000000000000000000000000000000000000000000000
χ584444-2-4-44-20000-2004-2-20-4222-4200000000-200002000000000000−2i32i3002i3−2i300000000000000000000000000000
χ594444-2-4-44-20000-2004-2-20-4222-4200000000-2000020000000000002i3−2i300−2i32i300000000000000000000000000000
χ60444-24-4-4-240000-200-24-202-4222-400000000-2000020000000000−2i32i3002i3−2i30000000000000000000000000000000
χ61444-24-4-4-240000-200-24-202-4222-400000000-20000200000000002i3−2i300−2i32i30000000000000000000000000000000
χ62444-2-244-2-24444144-2-214-2-211-2-2-2-2-2-2-2-2-2-21-2-2-2-21-2-2111100000000000011110000000000000000000000000
χ63444-2-244-2-244-4-41-4-4-2-214-2-211-2-2-2-2-2-22222122221-2-21111000000000000-1-1-1-10000000000000000000000000
χ64444-2-244-2-2-4-44-414-4-2-21-4-2-211-2-22222-2-2221-2-222122-1-1-1-10000000000001-11-10000000000000000000000000
χ65444-2-244-2-2-4-4-441-44-2-21-4-2-211-2-2222222-2-2122-2-2122-1-1-1-1000000000000-11-110000000000000000000000000
χ6644-44-2-444-20000-200-42-204-2-2-2-4200000000200002000000040-400-2-2002200000000000000000000000000000
χ6744-44-2-444-20000-200-42-204-2-2-2-42000000002000020000000-404002200-2-200000000000000000000000000000
χ6844-4-24-44-240000-2002-4-20-24-2-22-40000000020000200000040-40-2-200220000000000000000000000000000000
χ6944-4-24-44-240000-2002-4-20-24-2-22-400000000200002000000-40402200-2-20000000000000000000000000000000
χ7044-4-2-24-4-2-2444-41-44221-422-1-1-2-2-2-2-2-2-2-222-122-2-212211-1-10000000000001-1-110000000000000000000000000
χ7144-4-2-24-4-2-244-4414-4221-422-1-1-2-2-2-2-2-222-2-2-1-2-22212211-1-1000000000000-111-10000000000000000000000000
χ7244-4-2-24-4-2-2-4-4441-4-4221422-1-1-2-22222-2-2-2-2-122221-2-2-1-11100000000000011-1-10000000000000000000000000
χ7344-4-2-24-4-2-2-4-4-4-4144221422-1-1-2-222222222-1-2-2-2-21-2-2-1-111000000000000-1-1110000000000000000000000000
χ744-404400-4-4−2i22i20040000-40000000−2i22i2−2i22i2000000000000−2i22i2000000000000000000−2i22i20000000000000000002-2000
χ754-404400-4-4−2i22i20040000-40000000−2i22i2−2i22i2000000000000−2i22i20000000000000000002i2−2i2000000000000000000-22000
χ764-404400-4-42i2−2i20040000-400000002i2−2i22i2−2i20000000000002i2−2i2000000000000000000−2i22i2000000000000000000-22000
χ774-404400-4-42i2−2i20040000-400000002i2−2i22i2−2i20000000000002i2−2i20000000000000000002i2−2i20000000000000000002-2000
χ78888-4-4-8-8-4-40000200-4-42044-2-2440000000020000-200000000000000000000000000000000000000000000000
χ7988-8-4-4-88-4-400002004420-4-4224400000000-20000-200000000000000000000000000000000000000000000000
χ808-808-400-84−4i24i200-4000040000000−4i24i22i2−2i20000000000002i2−2i20000000000000000000000000000000000000000000
χ818-808-400-844i2−4i200-40000400000004i2−4i2−2i22i2000000000000−2i22i20000000000000000000000000000000000000000000
χ828-80-48004-8−4i24i200-40000400000002i2−2i2−4i24i20000000000002i2−2i20000000000000000000000000000000000000000000
χ838-80-48004-84i2−4i200-4000040000000−2i22i24i2−4i2000000000000−2i22i20000000000000000000000000000000000000000000
χ848-80-4-40044−4i24i20020000-20006i−6i002i2−2i22i2−2i2000000000000−i2i232−3200000000000000000000000000000000000000000
χ858-80-4-40044−4i24i20020000-2000−6i6i002i2−2i22i2−2i2000000000000−i2i2−323200000000000000000000000000000000000000000
χ868-80-4-400444i2−4i20020000-20006i−6i00−2i22i2−2i22i2000000000000i2−i2−323200000000000000000000000000000000000000000
χ878-80-4-400444i2−4i20020000-2000−6i6i00−2i22i2−2i22i2000000000000i2−i232−3200000000000000000000000000000000000000000

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