Finite Group Databasebeta

← Group #11895961

Character table — Group #11895961

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222224444444444444444446666668888888888888888121212121212121212121212121212161616162424242424242424242424242424243636727272
order122233446666663444466688121212122424242444121212121212121212121212121224242424242444488121212121212242424241212121222446666812121212242444248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1111111111-11-111-1-1-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-11111111111111111-111-1-111-1-111-1-1-1-11111-11-11-1-1111-1-11111-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111-1-1111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-111-11-1
χ611111111111111111-1-1111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-111111-1-111-1-11-11
χ711111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1111111-1-1111111-1-1111-1-1111-1-1-1-1-111-1-1-1-11-11
χ811111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111111-1-1-1-11111-11-1
χ9111111111111111-1-111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1111-1-1
χ10111111111111111-1-111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-111-1-11-1-1111-1-11-1-11111-1-1-111
χ11111111111111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-111111111-1-1-111-1-1-111-111-1-1-1-1-1-1-111
χ12111111111111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1
χ13111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11
χ14111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-11111-1-1-1-1-11-11-1-111-1-1-111-1-1-1-111-1
χ15111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-111-1-1-1-1-1-1-1-11-11-111-1-1111-1-111-1-111-1
χ16111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-111-1-11
χ17222222-2-22222222000022200-2-2-2-2000022222200000000-2-2000000-22-20022-2-2-2-2000000000000000000000002-2000
χ18222222-2-22222222000022200-2-2-2-2000022222200000000-2-2000000-2-2200-2-2-2-22200000000000000000000000-22000
χ19222222-2-22222222000022200-2-2-2-20000-2-2-2-2-2-200000000-2-200000022-2002222-2-200000000000000000000000-22000
χ20222222-2-22222222000022200-2-2-2-20000-2-2-2-2-2-200000000-2-20000002-2200-2-22222000000000000000000000002-2000
χ2122222-12222-1-1-12-12222-1-1-1222-12-1-1-1-1-122-1-1-1-122-1-1-1-122-1-122-1-1-1-12002200-1-100-1-1-1-1-1-1-1-12020-1-1000-1-1000000000
χ2222222-12222-1-1-12-12222-1-1-1222-12-1-1-1-1-1-2-2111122-1-1-1-122-1-122-1-1-1-1-200-2-20011001111-1-1-1-1-20-201100011000000000
χ2322222-12222-1-1-12-122-2-2-1-1-1-2-22-12-1111122-1-1-1-122-1-111-2-2-1-1-2-21111200-2-200-1-100111111-1-1-202011000-1-1000000000
χ2422222-12222-1-1-12-122-2-2-1-1-1-2-22-12-11111-2-2111122-1-111-2-2-1-1-2-21111-20022001100-1-1-1-111-1-120-20-1-100011000000000
χ2522222-12222-1-1-12-1-2-222-1-1-1-2-22-12-1111122-1-1-1-1-2-211-1-122-1-1-2-21111200-2-200-1-1001111-1-11120-20-1-100011000000000
χ2622222-12222-1-1-12-1-2-222-1-1-1-2-22-12-11111-2-21111-2-211-1-122-1-1-2-21111-20022001100-1-1-1-1-1-111-202011000-1-1000000000
χ2722222-12222-1-1-12-1-2-2-2-2-1-1-1222-12-1-1-1-1-122-1-1-1-1-2-21111-2-2-1-122-1-1-1-12002200-1-100-1-1-1-11111-20-201100011000000000
χ2822222-12222-1-1-12-1-2-2-2-2-1-1-1222-12-1-1-1-1-1-2-21111-2-21111-2-2-1-122-1-1-1-1-200-2-2001100111111112020-1-1000-1-1000000000
χ292222-1222-1-1222-1-12222-1-1-122-12-122222000000-1-12222-1-1-1-1-1-1-1-1-1-102200-1-100-1-10000-1-1-1-1020200-1-1200-1-1-1-100000
χ302222-1222-1-1222-1-12222-1-1-122-12-122222000000-1-12222-1-1-1-1-1-1-1-1-1-10-2-2001100110000-1-1-1-10-20-20011-200111100000
χ312222-1222-1-1222-1-122-2-2-1-1-1-2-2-12-12-2-2-2-2000000-1-122-2-211-1-111111102200-1-100-1-1000011-1-10-2020011-200-1-11100000
χ322222-1222-1-1222-1-122-2-2-1-1-1-2-2-12-12-2-2-2-2000000-1-122-2-211-1-11111110-2-200110011000011-1-1020-200-1-120011-1-100000
χ332222-1222-1-1222-1-1-2-222-1-1-1-2-2-12-12-2-2-2-200000011-2-222-1-1-1-111111102200-1-100-1-10000-1-111020-200-1-1-200111100000
χ342222-1222-1-1222-1-1-2-222-1-1-1-2-2-12-12-2-2-2-200000011-2-222-1-1-1-11111110-2-2001100110000-1-1110-2020011200-1-1-1-100000
χ352222-1222-1-1222-1-1-2-2-2-2-1-1-122-12-12222200000011-2-2-2-211-1-1-1-1-1-1-1-102200-1-100-1-1000011110-20-2001120011-1-100000
χ362222-1222-1-1222-1-1-2-2-2-2-1-1-122-12-12222200000011-2-2-2-211-1-1-1-1-1-1-1-10-2-20011001100001111020200-1-1-200-1-11100000
χ3722-2-222-222-22-2-2-222-22i−2i-2-222i−2i-2-2222i2i−2i−2i0000002-22-22i−2i2i−2i2-22i−2i2i2i−2i−2i0000000000000002i−2i2-200000000000000000000
χ3822-2-222-222-22-2-2-222-2−2i2i-2-22−2i2i-2-222−2i−2i2i2i0000002-22-2−2i2i−2i2i2-2−2i2i−2i−2i2i2i000000000000000−2i2i2-200000000000000000000
χ3922-2-222-222-22-2-2-22-222i−2i-2-22−2i2i-2-222−2i−2i2i2i000000-22-222i−2i2i−2i2-2−2i2i−2i−2i2i2i0000000000000002i−2i-2200000000000000000000
χ4022-2-222-222-22-2-2-22-22−2i2i-2-222i−2i-2-2222i2i−2i−2i000000-22-22−2i2i−2i2i2-22i−2i2i2i−2i−2i000000000000000−2i2i-2200000000000000000000
χ4122-2-22-1-222-2-111-2-12-22i−2i11-12i−2i-212-1−i−iii0033−3−32-2-11−ii2i−2i-112i−2i−i−iii00000003−300−i3−i3i3i3−ii-110000−i3i30003−3000000000
χ4222-2-22-1-222-2-111-2-12-22i−2i11-12i−2i-212-1−i−iii00−3−3332-2-11−ii2i−2i-112i−2i−i−iii0000000−3300i3i3−i3−i3−ii-110000i3−i3000−33000000000
χ4322-2-22-1-222-2-111-2-12-2−2i2i11-1−2i2i-212-1ii−i−i0033−3−32-2-11i−i−2i2i-11−2i2iii−i−i00000003−300i3i3−i3−i3i−i-110000i3−i30003−3000000000
χ4422-2-22-1-222-2-111-2-12-2−2i2i11-1−2i2i-212-1ii−i−i00−3−3332-2-11i−i−2i2i-11−2i2iii−i−i0000000−3300−i3−i3i3i3i−i-110000−i3i3000−33000000000
χ4522-2-22-1-222-2-111-2-1-222i−2i11-1−2i2i-212-1ii−i−i0033−3−3-221-1−ii2i−2i-11−2i2iii−i−i00000003−300i3i3−i3−i3−ii1-10000−i3i3000−33000000000
χ4622-2-22-1-222-2-111-2-1-222i−2i11-1−2i2i-212-1ii−i−i00−3−333-221-1−ii2i−2i-11−2i2iii−i−i0000000−3300−i3−i3i3i3−ii1-10000i3−i30003−3000000000
χ4722-2-22-1-222-2-111-2-1-22−2i2i11-12i−2i-212-1−i−iii0033−3−3-221-1i−i−2i2i-112i−2i−i−iii00000003−300−i3−i3i3i3i−i1-10000i3−i3000−33000000000
χ4822-2-22-1-222-2-111-2-1-22−2i2i11-12i−2i-212-1−i−iii00−3−333-221-1i−i−2i2i-112i−2i−i−iii0000000−3300i3i3−i3−i3i−i1-10000−i3i30003−3000000000
χ4922-2-2-12-22-112-2-21-12-22i−2i11-12i−2i1-2-122i2i−2i−2i000000-112-22i−2i−ii-11−ii−i−iii000003−3003−30000−ii-11000000−i3i30003−3−i3i300000
χ5022-2-2-12-22-112-2-21-12-22i−2i11-12i−2i1-2-122i2i−2i−2i000000-112-22i−2i−ii-11−ii−i−iii00000−3300−330000−ii-11000000i3−i3000−33i3−i300000
χ5122-2-2-12-22-112-2-21-12-2−2i2i11-1−2i2i1-2-12−2i−2i2i2i000000-112-2−2i2ii−i-11i−iii−i−i000003−3003−30000i−i-11000000i3−i30003−3i3−i300000
χ5222-2-2-12-22-112-2-21-12-2−2i2i11-1−2i2i1-2-12−2i−2i2i2i000000-112-2−2i2ii−i-11i−iii−i−i00000−3300−330000i−i-11000000−i3i3000−33−i3i300000
χ5322-2-2-12-22-112-2-21-1-222i−2i11-1−2i2i1-2-12−2i−2i2i2i0000001-1-222i−2i−ii-11i−iii−i−i000003−3003−30000−ii1-1000000−i3i3000−33i3−i300000
χ5422-2-2-12-22-112-2-21-1-222i−2i11-1−2i2i1-2-12−2i−2i2i2i0000001-1-222i−2i−ii-11i−iii−i−i00000−3300−330000−ii1-1000000i3−i30003−3−i3i300000
χ5522-2-2-12-22-112-2-21-1-22−2i2i11-12i−2i1-2-122i2i−2i−2i0000001-1-22−2i2ii−i-11−ii−i−iii000003−3003−30000i−i1-1000000i3−i3000−33−i3i300000
χ5622-2-2-12-22-112-2-21-1-22−2i2i11-12i−2i1-2-122i2i−2i−2i0000001-1-22−2i2ii−i-11−ii−i−iii00000−3300−330000i−i1-1000000−i3i30003−3i3−i300000
χ5744444-2-4-444-2-2-24-20000-2-2-200-42-42000044-2-2-2-20000000022000000-400000022000000000000000000000000000000
χ5844444-2-4-444-2-2-24-20000-2-2-200-42-420000-4-4222200000000220000004000000-2-2000000000000000000000000000000
χ594444-24-4-4-2-2444-2-20000-2-2-2002-42-40000000000000000002200000004-400-2-200220000000000000000000000000000
χ604444-24-4-4-2-2444-2-20000-2-2-2002-42-4000000000000000000220000000-44002200-2-20000000000000000000000000000
χ614444-2-244-2-2-2-2-2-21444411144-2-2-2-2-2-2-2-2000000-2-2-2-2-2-2-2-211-2-21111000000000000000111100000000000000000000
χ624444-2-244-2-2-2-2-2-2144-4-4111-4-4-2-2-2-22222000000-2-2-2-222221122-1-1-1-1000000000000000-1-11100000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-444111-4-4-2-2-2-222220000002222-2-2-2-21122-1-1-1-100000000000000011-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-21-4-4-4-411144-2-2-2-2-2-2-2-20000002222222211-2-21111000000000000000-1-1-1-100000000000000000000
χ6544-4-4444-44-44-4-4-440000-4-440044-4-4000000000000000000-44000000000000000000000000000000000000000000000
χ6644-4-44-24-44-4-222-4-2000022-2004-2-420000002323−23−23000000002-20000000000000−2323000000000000000000000000000000
χ6744-4-44-24-44-4-222-4-2000022-2004-2-42000000−23−232323000000002-2000000000000023−23000000000000000000000000000000
χ6844-4-4-244-4-224-4-42-2000022-200-242-40000000000000000002-20000000000023−2300−23230000000000000000000000000000
χ6944-4-4-244-4-224-4-42-2000022-200-242-40000000000000000002-200000000000−23230023−230000000000000000000000000000
χ7044-4-4-2-2-44-22-222214-44i−4i-1-114i−4i22-2-2−2i−2i2i2i000000-22-22−2i2i−2i2i1-1−2i2iii−i−i000000000000000i−i1-100000000000000000000
χ7144-4-4-2-2-44-22-222214-4−4i4i-1-11−4i4i22-2-22i2i−2i−2i000000-22-222i−2i2i−2i1-12i−2i−i−iii000000000000000−ii1-100000000000000000000
χ7244-4-4-2-2-44-22-22221-444i−4i-1-11−4i4i22-2-22i2i−2i−2i0000002-22-2−2i2i−2i2i1-12i−2i−i−iii000000000000000i−i-1100000000000000000000
χ7344-4-4-2-2-44-22-22221-44−4i4i-1-114i−4i22-2-2−2i−2i2i2i0000002-22-22i−2i2i−2i1-1−2i2iii−i−i000000000000000−ii-1100000000000000000000
χ744-44-44400-44-4-44-4400004-4-400000000000000000000000000000000000−2i22i2000000−2i22i2−2i22i2000000000000000000000000
χ754-44-44400-44-4-44-4400004-4-4000000000000000000000000000000000002i2−2i20000002i2−2i22i2−2i2000000000000000000000000
χ764-44-44-200-4422-2-4-20000-222000000i6−i6i6−i60023−2323−23000000000000i6−i6i6−i6000−2i22i2000000i2−i2i2−i2000000000000000000000000
χ774-44-44-200-4422-2-4-20000-222000000i6−i6i6−i600−2323−2323000000000000i6−i6i6−i60002i2−2i2000000−i2i2−i2i2000000000000000000000000
χ784-44-44-200-4422-2-4-20000-222000000−i6i6−i6i60023−2323−23000000000000−i6i6−i6i60002i2−2i2000000−i2i2−i2i2000000000000000000000000
χ794-44-44-200-4422-2-4-20000-222000000−i6i6−i6i600−2323−2323000000000000−i6i6−i6i6000−2i22i2000000i2−i2i2−i2000000000000000000000000
χ804-4-444400-4-4-44-4440000-44-400000000004-44-4-440000000000000000000000000000000000000000000000000000000
χ814-4-444400-4-4-44-4440000-44-40000000000-44-444-40000000000000000000000000000000000000000000000000000000
χ824-4-444-200-4-42-224-200002-220000006−6−664-4-222-20000000000006−6−6600000000000−666−6000000000000000000000000
χ834-4-444-200-4-42-224-200002-220000006−6−66-442-2-220000000000006−6−66000000000006−6−66000000000000000000000000
χ844-4-444-200-4-42-224-200002-22000000−666−64-4-222-2000000000000−666−6000000000006−6−66000000000000000000000000
χ854-4-444-200-4-42-224-200002-22000000−666−6-442-2-22000000000000−666−600000000000−666−6000000000000000000000000
χ868888-4-4-8-8-4-4-4-4-4-420000222004444000000000000000000-2-2000000000000000000000000000000000000000000000
χ8788-8-8-4-48-8-44-444420000-2-2200-4-444000000000000000000-22000000000000000000000000000000000000000000000
χ888-88-8-48004-4-8-884-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-4004-444-44200002-2-20000002i6−2i62i6−2i6000000000000000000−i6i6−i6i6000000000000000000000000000000000000000
χ908-88-8-4-4004-444-44200002-2-2000000−2i62i6−2i62i6000000000000000000i6−i6i6−i6000000000000000000000000000000000000000
χ918-8-88-480044-88-8-4-400004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400444-44-420000-22-200000026−26−2626000000000000000000−666−6000000000000000000000000000000000000000
χ938-8-88-4-400444-44-420000-22-2000000−262626−260000000000000000006−6−66000000000000000000000000000000000000000

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