Finite Group Databasebeta

← Group #11872816

Character table — Group #11872816

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666662236668812121212242424244444121212124666612121212242424242424222444668812122424242466121212446681212121212242444441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-111-1-1-11111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-11111-1-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-111-1111-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111-1-1-11-1-1-11-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-111111-1-1111111-1-1-1-1111-11-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-11-1-1-1111111111-1-1
χ911111111111111-1-11111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-111-111-1
χ1011111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-1-11
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-11
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-111-1-11-1
χ1311111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11111-1-1-11111-111-1-1-11
χ1411111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-1-111111-1-1-11-1-111-1-11-1-1111-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-111-1-1-111-1-11111-1-1111-1-1111-111-1-1111-1-11-11-1
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1111-1-1-1-1-111-11-11
χ17222222-2-222222200222200-2-2-2-2000022-2-222220000000-2-200000000200-22200-2-200000000000000-2000000-2002000
χ18222222-2-222222200222200-2-2-2-2000022-2-222220000000-2-200000000-2002-2-200-2-2000000000000002000000200-2000
χ19222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000200-222002200000000000000-2000000200-2000
χ20222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000-2002-2-20022000000000000002000000-2002000
χ2122222-122-12-1-12222-1-1-1-1222-12-1222200000000222-1-122-1-1-1-1-1-1-1-1222002-1-100000000-1-1-1-1-120-1-12-10000-1-10000-100
χ2222222-122-12-1-12222-1-1-1-1222-12-1222200000000222-1-122-1-1-1-1-1-1-1-1-2-2-200-21100000000-1-1-1-1-1-2011-210000110000100
χ2322222-122-12-1-12222-1-1-1-1-2-22-12-1-2-2-2-200000000-222-1-1-2-2-1-1111111222002-1-100000000-1-1111-20-1-1-2-10000110000100
χ2422222-122-12-1-12222-1-1-1-1-2-22-12-1-2-2-2-200000000-222-1-1-2-2-1-1111111-2-2-200-21100000000-1-11112011210000-1-10000-100
χ2522222-122-12-1-122-2-2-1-1-1-1222-12-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-122-200-211000000001111120-1-1-210000110000-100
χ2622222-122-12-1-122-2-2-1-1-1-1222-12-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1-2-22002-1-10000000011111-20112-10000-1-10000100
χ2722222-122-12-1-122-2-2-1-1-1-1-2-22-12-1-2-2-2-2000000002-2-21122-1-111111122-200-2110000000011-1-1-1-20-1-1210000-1-10000100
χ2822222-122-12-1-122-2-2-1-1-1-1-2-22-12-1-2-2-2-2000000002-2-21122-1-1111111-2-22002-1-10000000011-1-1-12011-2-10000110000-100
χ292222-12222-122-1-122-1-1-1-122-12-12-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-10002200022-1-1-1-1-1-1-1-12-1-1020000-1-1-1-1000000000
χ302222-12222-122-1-122-1-1-1-122-12-12-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-1000-2-2000-2-2111111-1-12-1-10-200001111000000000
χ312222-12222-122-1-122-1-1-1-1-2-2-12-1211112222-1-1-1-1-2-1-12211-1-1-2-2111100022000-2-2-1-11111-1-1-2110-20000-1-111000000000
χ322222-12222-122-1-122-1-1-1-1-2-2-12-121111-2-2-2-21111-2-1-12211-1-1-2-21111000-2-20002211-1-1-1-1-1-1-21102000011-1-1000000000
χ332222-12222-122-1-1-2-2-1-1-1-122-12-12-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-1000-2-200022-1-1-1-1-1-111-2110-200001111000000000
χ342222-12222-122-1-1-2-2-1-1-1-122-12-12-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-100022000-2-211111111-211020000-1-1-1-1000000000
χ352222-12222-122-1-1-2-2-1-1-1-1-2-2-12-1211112222-1-1-1-1211-2-2-1-1-1-1-2-21111000-2-2000-2-2-1-11111112-1-102000011-1-1000000000
χ362222-12222-122-1-1-2-2-1-1-1-1-2-2-12-121111-2-2-2-21111211-2-2-1-1-1-1-2-21111000220002211-1-1-1-1112-1-10-20000-1-111000000000
χ3722-2-2222-2-222-2-2-2002-2-2200-2-22200002i−2i2i−2i2i2i−2i−2i00000002-20000002-2000000002i−2i000000000002-20000000002i−2i0000
χ3822-2-2222-2-222-2-2-2002-2-2200-2-22200002i−2i2i−2i2i2i−2i−2i00000002-2000000-22000000002i−2i00000000000-22000000000−2i2i0000
χ3922-2-2222-2-222-2-2-2002-2-2200-2-2220000−2i2i−2i2i−2i−2i2i2i00000002-20000002-200000000−2i2i000000000002-2000000000−2i2i0000
χ4022-2-2222-2-222-2-2-2002-2-2200-2-2220000−2i2i−2i2i−2i−2i2i2i00000002-2000000-2200000000−2i2i00000000000-220000000002i−2i0000
χ4122-2-222-22-222-2-2-22-22-2-220022-2-200002i−2i−2i2i2i2i−2i−2i02-22-200-220000000002i−2i00000−2i2i00002-20000000002i−2i00000000000
χ4222-2-222-22-222-2-2-22-22-2-220022-2-20000−2i2i2i−2i−2i−2i2i2i02-22-200-22000000000−2i2i000002i−2i00002-2000000000−2i2i00000000000
χ4322-2-222-22-222-2-2-2-222-2-220022-2-200002i−2i−2i2i2i2i−2i−2i0-22-2200-22000000000−2i2i00000−2i2i0000-22000000000−2i2i00000000000
χ4422-2-222-22-222-2-2-2-222-2-220022-2-20000−2i2i2i−2i−2i−2i2i2i0-22-2200-220000000002i−2i000002i−2i0000-220000000002i−2i00000000000
χ4522-2-2-12-22-2-12-2112-2-111-100-121-2−i3−i3i3i32i−2i−2i2i−i−iii0-112-2−i3i31-100−i3−i3i3i30002i−2i00000i−i33−3−3-110−i3i3000000−ii3−3000000000
χ4622-2-2-12-22-2-12-2112-2-111-100-121-2−i3−i3i3i3−2i2i2i−2iii−i−i0-112-2−i3i31-100−i3−i3i3i3000−2i2i00000−ii−3−333-110−i3i3000000i−i−33000000000
χ4722-2-2-12-22-2-12-2112-2-111-100-121-2i3i3−i3−i32i−2i−2i2i−i−iii0-112-2i3−i31-100i3i3−i3−i30002i−2i00000i−i−3−333-110i3−i3000000−ii−33000000000
χ4822-2-2-12-22-2-12-2112-2-111-100-121-2i3i3−i3−i3−2i2i2i−2iii−i−i0-112-2i3−i31-100i3i3−i3−i3000−2i2i00000−ii33−3−3-110i3−i3000000i−i3−3000000000
χ4922-2-2-12-22-2-12-211-22-111-100-121-2−i3−i3i3i32i−2i−2i2i−i−iii01-1-22i3−i31-100−i3−i3i3i3000−2i2i00000i−i33−3−31-10i3−i3000000i−i−33000000000
χ5022-2-2-12-22-2-12-211-22-111-100-121-2−i3−i3i3i3−2i2i2i−2iii−i−i01-1-22i3−i31-100−i3−i3i3i30002i−2i00000−ii−3−3331-10i3−i3000000−ii3−3000000000
χ5122-2-2-12-22-2-12-211-22-111-100-121-2i3i3−i3−i32i−2i−2i2i−i−iii01-1-22−i3i31-100i3i3−i3−i3000−2i2i00000i−i−3−3331-10−i3i3000000i−i3−3000000000
χ5222-2-2-12-22-2-12-211-22-111-100-121-2i3i3−i3−i3−2i2i2i−2iii−i−i01-1-22−i3i31-100i3i3−i3−i30002i−2i00000−ii33−3−31-10−i3i3000000−ii−33000000000
χ5344444-2-4-4-24-2-24400-2-2-2-200-42-4200000000000000000002200000000400-4-2-200000000000000000020000000000000
χ5444444-2-4-4-24-2-24400-2-2-2-200-42-4200000000000000000002200000000-400422000000000000000000-20000000000000
χ554444-24-4-44-244-2-200-2-2-2-2002-42-4000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ564444-24-4-44-244-2-200-2-2-2-2002-42-40000-4-44422220000000220000000000000000-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-21111000000000000000011-2110000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000112-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-211110000000000000000-1-12-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-1-1-2110000000000000000000
χ6144-4-44-24-424-22-4-400-222-200-424-20000000000000000000-220000004-4000000000000000000000-22000000000000000
χ6244-4-44-24-424-22-4-400-222-200-424-20000000000000000000-22000000-440000000000000000000002-2000000000000000
χ6344-4-44-2-4424-22-4-44-4-222-2004-2-4200000000000004-4-22002-20000000000000000000000-220000000000000000000000
χ6444-4-44-2-4424-22-4-4-44-222-2004-2-420000000000000-442-2002-200000000000000000000002-20000000000000000000000
χ6544-4-4-244-4-4-24-42200-222-2002-4-2400004i−4i4i−4i−2i−2i2i2i0000000-220000000000000000−2i2i0000000000000000000000000000
χ6644-4-4-244-4-4-24-42200-222-2002-4-240000−4i4i−4i4i2i2i−2i−2i0000000-2200000000000000002i−2i0000000000000000000000000000
χ6744-4-4-2-2-442-2-22224-41-1-1100-2-222−2i3−2i32i32i3000000000-22-22−2i32i3-1100i3i3−i3−i300000000000000001-10i3−i30000000000000000000
χ6844-4-4-2-2-442-2-22224-41-1-1100-2-2222i32i3−2i3−2i3000000000-22-222i3−2i3-1100−i3−i3i3i300000000000000001-10−i3i30000000000000000000
χ6944-4-4-2-2-442-2-2222-441-1-1100-2-222−2i3−2i32i32i30000000002-22-22i3−2i3-1100i3i3−i3−i30000000000000000-110−i3i30000000000000000000
χ7044-4-4-2-2-442-2-2222-441-1-1100-2-2222i32i3−2i3−2i30000000002-22-2−2i32i3-1100−i3−i3i3i30000000000000000-110i3−i30000000000000000000
χ714-44-44400-4-4-444-40044-4-400000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ724-44-44400-4-4-444-40044-4-4000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ734-44-4-2400-42-44-2200-2-2220000006−66−60000−2i32i3−2i32i3000000000006−66−600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ744-44-4-2400-42-44-2200-2-2220000006−66−600002i3−2i32i3−2i3000000000006−66−6000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ754-44-4-2400-42-44-2200-2-222000000−66−660000−2i32i3−2i32i300000000000−66−66000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ764-44-4-2400-42-44-2200-2-222000000−66−6600002i3−2i32i3−2i300000000000−66−6600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ774-4-4444004-4-4-4-44004-44-4−2i22i20000−2i22i22i2−2i200000000000000000−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ784-4-4444004-4-4-4-44004-44-42i2−2i200002i2−2i2−2i22i2000000000000000002i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ794-4-444-200-2-422-4400-22-22−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i2000000−2i32i3000000000000000000000006−60000000
χ804-4-444-200-2-422-4400-22-22−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i20000002i3−2i300000000000000000000000−660000000
χ814-4-444-200-2-422-4400-22-222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i2000000−2i32i300000000000000000000000−660000000
χ824-4-444-200-2-422-4400-22-222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i20000002i3−2i3000000000000000000000006−60000000
χ834-4-44-240042-4-42-200-22-22−2i22i20000i2−i2−i2i2000023−23−2323000000000−2i22i2i2−i2−i2i2000000000000i6−i6−i6i6000000000000000000000000
χ844-4-44-240042-4-42-200-22-22−2i22i20000i2−i2−i2i20000−232323−23000000000−2i22i2i2−i2−i2i2000000000000−i6i6i6−i6000000000000000000000000
χ854-4-44-240042-4-42-200-22-222i2−2i20000−i2i2i2−i2000023−23−23230000000002i2−2i2−i2i2i2−i2000000000000−i6i6i6−i6000000000000000000000000
χ864-4-44-240042-4-42-200-22-222i2−2i20000−i2i2i2−i20000−232323−230000000002i2−2i2−i2i2i2−i2000000000000i6−i6−i6i6000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-40022220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-48-84-4-4444002-2-220044-4-400000000000000000002-20000000000000000000000000000000000000000000000
χ898-88-88-4004-84-48-800-4-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400444-4-440022-2-200000026−2626−260000000000000000000−66−660000000000000000000000000000000000000000
χ918-88-8-4-400444-4-440022-2-2000000−2626−262600000000000000000006−66−60000000000000000000000000000000000000000
χ928-8-88-4-400-44444-4002-22-2−4i24i200002i2−2i2−2i22i2000000000000000002i2−2i2−i2i2i2−i20000000000000000000000000000000000000000
χ938-8-88-4-400-44444-4002-22-24i2−4i20000−2i22i22i2−2i200000000000000000−2i22i2i2−i2−i2i20000000000000000000000000000000000000000

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