Finite Group Databasebeta

← Group #11796957

Character table — Group #11796957

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222222334444444444444444666666666888888888888812121212121212121212121616161616162424242424242424242424243636363648487272
order1223344666688443666681212121224242424242422488121212124412121212121224242424246681616161624242424121212121212226666884848484816161616242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ61111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ81111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911-1111-1-1-111-1-1111-1-1-111-111-111-1-1-1-11-1-1-1-111-1-11-111-1-1-11111-1-11-11ii−i−i11-1-11-111-1-11-111-1-1i−iii−i−iii−i−ii−ii−i
χ1011-1111-1-1-111-1-1111-1-1-111-111-111-1-1-1-11-1-1-1-111-1-11-111-1-1-11111-1-11-11−i−iii11-1-11-111-1-11-111-1-1−ii−i−iii−i−iii−ii−ii
χ1111-1111-1-1-111-1-1111-1-1-111-111-111-1-1-1-11-1-1-1-111-1-1-11-1-111-11111-1-11-11ii−i−i11-1-1-11-1-111-11-1-111−iiii−i−iii−i−i−ii−ii
χ1211-1111-1-1-111-1-1111-1-1-111-111-111-1-1-1-11-1-1-1-111-1-1-11-1-111-11111-1-11-11−i−iii11-1-1-11-1-111-11-1-111i−i−i−iii−i−iiii−ii−i
χ1311-1111-1-1-111-1-1-1-11-1-1-111-111-111-1-1-1-1-11111-1-1111-111-1-1-11111-1-1-11-1ii−i−i-1-1111-111-1-1-11-1-111i−iii−i−i−i−iiii−i−ii
χ1411-1111-1-1-111-1-1-1-11-1-1-111-111-111-1-1-1-1-11111-1-1111-111-1-1-11111-1-1-11-1−i−iii-1-1111-111-1-1-11-1-111−ii−i−iiiii−i−i−iii−i
χ1511-1111-1-1-111-1-1-1-11-1-1-111-111-111-1-1-1-1-11111-1-111-11-1-111-11111-1-1-11-1ii−i−i-1-111-11-1-1111-111-1-1−iiii−i−i−i−iii−iii−i
χ1611-1111-1-1-111-1-1-1-11-1-1-111-111-111-1-1-1-1-11111-1-111-11-1-111-11111-1-1-11-1−i−iii-1-111-11-1-1111-111-1-1i−i−i−iiiii−i−ii−i−ii
χ1722222222222-2-22222222-22222-2-2-2-2-2-2222-2-2222200000022-2-2-2-2-222-20000-2-2-2-200000000000000000000000000
χ1822222222222-2-2-2-222222-22222-2-2-2-2-2-2-2-2-222-2-2-2-200000022-2-2-2-2-2-2-220000222200000000000000000000000000
χ1922222-2-222220022222220-2-2-2-2000000-2-22002222000000-2-200000-2-20−i2i2−i2i2000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ2022222-2-222220022222220-2-2-2-2000000-2-22002222000000-2-200000-2-20i2−i2i2−i2000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ2122222-2-2222200-2-2222220-2-2-2-200000022-200-2-2-2-2000000-2-200000220−i2i2−i2i2000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ2222222-2-2222200-2-2222220-2-2-2-200000022-200-2-2-2-2000000-2-200000220i2−i2i2−i2000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ232222-122-1-12-12222-12-1-1-12-12-12-1-1-1-12222222-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-120000-1-1-1-122-1-1-1-122-1-1-1-100000000000000
χ242222-122-1-12-12222-12-1-1-12-12-12-1-1-1-12222222-1-1-1-1-2-21111-1-12-1-1-1-1-1-120000-1-1-1-1-2-21111-2-2111100000000000000
χ252222-122-1-12-122-2-2-12-1-1-12-12-12-1-1-1-122-2-2-2-2-2111122-1-1-1-1-1-12-1-1-1-111-20000111122-1-1-1-1-2-2111100000000000000
χ262222-122-1-12-122-2-2-12-1-1-12-12-12-1-1-1-122-2-2-2-2-21111-2-21111-1-12-1-1-1-111-200001111-2-2111122-1-1-1-100000000000000
χ272222-122-1-12-1-2-222-12-1-1-1-2-12-121111-2-2222-2-2-1-1-1-100−i3i3−i3i3-1-1-21111-1-1-20000111100−i3i3−i3i300−i3i3−i3i300000000000000
χ282222-122-1-12-1-2-222-12-1-1-1-2-12-121111-2-2222-2-2-1-1-1-100i3−i3i3−i3-1-1-21111-1-1-20000111100i3−i3i3−i300i3−i3i3−i300000000000000
χ292222-122-1-12-1-2-2-2-2-12-1-1-1-2-12-121111-2-2-2-2-222111100−i3i3−i3i3-1-1-211111120000-1-1-1-100−i3i3−i3i300i3−i3i3−i300000000000000
χ302222-122-1-12-1-2-2-2-2-12-1-1-1-2-12-121111-2-2-2-2-222111100i3−i3i3−i3-1-1-211111120000-1-1-1-100i3−i3i3−i300−i3i3−i3i300000000000000
χ31222-122222-122200-1-1-1-1-122-12-12222-1-1000000000222222-1-1-1-1-1-1-100022220000-1-1-1-1-1-100000022-1-1-1-10000-1-100
χ32222-122222-122200-1-1-1-1-122-12-12222-1-1000000000222222-1-1-1-1-1-1-1000-2-2-2-20000-1-1-1-1-1-1000000-2-2111100001100
χ33222-122222-122200-1-1-1-1-122-12-12222-1-1000000000-2-2-2-2-2-2-1-1-1-1-1-1-100022220000111111000000-2-2-1-1-1-100001100
χ34222-122222-122200-1-1-1-1-122-12-12222-1-1000000000-2-2-2-2-2-2-1-1-1-1-1-1-1000-2-2-2-200001111110000002211110000-1-100
χ3522-2222-2-2-22222222-2-2-22-2-222-2-2-222222-2-22222-2-2000000-22-2-2-2222-2-20000-2-22200000000000000000000000000
χ3622-2222-2-2-22222-2-22-2-2-22-2-222-2-2-22222-222-2-2-2-222000000-22-2-2-222-222000022-2-200000000000000000000000000
χ3722-222-22-2-22200222-2-2-2202-2-22000000-22-20022-2-20000002-200000-2202−2−220000000000000000002−2−222−2−220000
χ3822-222-22-2-22200222-2-2-2202-2-22000000-22-20022-2-20000002-200000-220−222−2000000000000000000−222−2−222−20000
χ3922-222-22-2-22200-2-22-2-2-2202-2-220000002-2200-2-2220000002-2000002-202−2−220000000000000000002−2−22−222−20000
χ4022-222-22-2-22200-2-22-2-2-2202-2-220000002-2200-2-2220000002-2000002-20−222−2000000000000000000−222−22−2−220000
χ4122-22-12-2112-12222-1-211-1-212-1-211-1-1222-2-222-1-11100−i3i3i3−i31-1-211-1-1-11-2000011-1-100−i3i3i3−i300−i3i3i3−i300000000000000
χ4222-22-12-2112-12222-1-211-1-212-1-211-1-1222-2-222-1-11100i3−i3−i3i31-1-211-1-1-11-2000011-1-100i3−i3−i3i300i3−i3−i3i300000000000000
χ4322-22-12-2112-122-2-2-1-211-1-212-1-211-1-122-222-2-211-1-100−i3i3i3−i31-1-211-1-11-120000-1-11100−i3i3i3−i300i3−i3−i3i300000000000000
χ4422-22-12-2112-122-2-2-1-211-1-212-1-211-1-122-222-2-211-1-100i3−i3−i3i31-1-211-1-11-120000-1-11100i3−i3−i3i300−i3i3i3−i300000000000000
χ4522-22-12-2112-1-2-222-1-211-1212-1-2-1-111-2-22-2-2-2-2-1-1112-2-1-1111-12-1-111-1120000-1-1112-2-1-1112-2-1-11100000000000000
χ4622-22-12-2112-1-2-222-1-211-1212-1-2-1-111-2-22-2-2-2-2-1-111-2211-1-11-12-1-111-1120000-1-111-2211-1-1-2211-1-100000000000000
χ4722-22-12-2112-1-2-2-2-2-1-211-1212-1-2-1-111-2-2-2222211-1-12-2-1-1111-12-1-1111-1-2000011-1-12-2-1-111-2211-1-100000000000000
χ4822-22-12-2112-1-2-2-2-2-1-211-1212-1-2-1-111-2-2-2222211-1-1-2211-1-11-12-1-1111-1-2000011-1-1-2211-1-12-2-1-11100000000000000
χ4922-2-122-2-2-2-12-2-200-1111-12-2-12122-2-2110000000002-222-2-21-1-1-1-1110002i2i−2i−2i0000-11-1-1110000002i−2i−i−iii0000−ii00
χ5022-2-122-2-2-2-12-2-200-1111-12-2-12122-2-2110000000002-222-2-21-1-1-1-111000−2i−2i2i2i0000-11-1-111000000−2i2iii−i−i0000i−i00
χ5122-2-122-2-2-2-12-2-200-1111-12-2-12122-2-211000000000-22-2-2221-1-1-1-1110002i2i−2i−2i00001-111-1-1000000−2i2i−i−iii0000i−i00
χ5222-2-122-2-2-2-12-2-200-1111-12-2-12122-2-211000000000-22-2-2221-1-1-1-111000−2i−2i2i2i00001-111-1-10000002i−2iii−i−i0000−ii00
χ534444-2-4-4-2-24-20044-24-2-2-202-42-4000000-4-4400-2-2-2-200000022000002200000000000000000000000000000000000
χ544444-2-4-4-2-24-200-4-4-24-2-2-202-42-400000044-40022220000002200000-2-200000000000000000000000000000000000
χ55444-244444-24-4-400-2-2-2-2-2-44-24-2-4-4-4-422000000000000000-2-2222220000000000000000000000000000000000000
χ56444-24-4-444-240000-2-2-2-2-20-42-420000000000000000000002200000000−2i22i2−2i22i2000000000000000000i2−i2i2−i200000000
χ57444-24-4-444-240000-2-2-2-2-20-42-4200000000000000000000022000000002i2−2i22i2−2i2000000000000000000−i2i2−i2i200000000
χ58444-2-244-2-2-2-244001-21114-2-2-2-2-2-2-2-2-2-200000000044-2-2-2-211-2111100000000000-2-2111100000000000000000000
χ59444-2-244-2-2-2-244001-21114-2-2-2-2-2-2-2-2-2-2000000000-4-4222211-211110000000000022-1-1-1-100000000000000000000
χ60444-2-244-2-2-2-2-4-4001-2111-4-2-2-2-222222200000000000−2i32i3−2i32i3112-1-1-1-10000000000000i3−i3i3−i300000000000000000000
χ61444-2-244-2-2-2-2-4-4001-2111-4-2-2-2-2222222000000000002i3−2i32i3−2i3112-1-1-1-10000000000000−i3i3−i3i300000000000000000000
χ6244-44-2-44224-20044-2-422-20-2-424000000-44-400-2-222000000-22000002-200000000000000000000000000000000000
χ6344-44-2-44224-200-4-4-2-422-20-2-4240000004-440022-2-2000000-2200000-2200000000000000000000000000000000000
χ6444-4-244-4-4-4-244400-2222-2-4-4-242-4-444-2-20000000000000002-2222-2-20000000000000000000000000000000000000
χ6544-4-24-44-4-4-240000-2222-2042-4-2000000000000000000000-220000000022−22−2222000000000000000000−222−200000000
χ6644-4-24-44-4-4-240000-2222-2042-4-2000000000000000000000-2200000000−222222−220000000000000000002−2−2200000000
χ6744-4-2-24-422-2-2440012-1-11-42-2-2222-2-2-2-200000000000−2i32i32i3−2i3-112-1-1110000000000000i3−i3−i3i300000000000000000000
χ6844-4-2-24-422-2-2440012-1-11-42-2-2222-2-2-2-2000000000002i3−2i3−2i32i3-112-1-1110000000000000−i3i3i3−i300000000000000000000
χ6944-4-2-24-422-2-2-4-40012-1-1142-2-22-2-222220000000004-4-2-222-11-211-1-100000000000-2211-1-100000000000000000000
χ7044-4-2-24-422-2-2-4-40012-1-1142-2-22-2-22222000000000-4422-2-2-11-211-1-1000000000002-2-1-11100000000000000000000
χ714-40440000-4-422−224i−4i4000-4000000022−2222−22000−2i22i24i−4i000000000000022−22000000000−2i22i200000000000000000000000000
χ724-40440000-4-422−22−4i4i4000-4000000022−2222−220002i2−2i2−4i4i000000000000022−220000000002i2−2i200000000000000000000000000
χ734-40440000-4-4−22224i−4i4000-40000000−2222−22220002i2−2i24i−4i0000000000000−22220000000002i2−2i200000000000000000000000000
χ744-40440000-4-4−2222−4i4i4000-40000000−2222−2222000−2i22i2−4i4i0000000000000−2222000000000−2i22i200000000000000000000000000
χ754-404-200−2i32i3-4222−224i−4i-20−2i32i3200000i6−i6−2222−22000−2i22i2−2i2i23−23000000000i6−i6−2200000006−6i2−i200000000000000000000000000
χ764-404-200−2i32i3-4222−22−4i4i-20−2i32i3200000i6−i6−2222−220002i2−2i22i−2i−2323000000000i6−i6−220000000−66−i2i200000000000000000000000000
χ774-404-200−2i32i3-42−22224i−4i-20−2i32i3200000−i6i62−2−22220002i2−2i2−2i2i23−23000000000−i6i62−20000000−66−i2i200000000000000000000000000
χ784-404-200−2i32i3-42−2222−4i4i-20−2i32i3200000−i6i62−2−2222000−2i22i22i−2i−2323000000000−i6i62−200000006−6i2−i200000000000000000000000000
χ794-404-2002i3−2i3-4222−224i−4i-202i3−2i3200000−i6i6−2222−22000−2i22i2−2i2i−2323000000000−i6i6−220000000−66i2−i200000000000000000000000000
χ804-404-2002i3−2i3-4222−22−4i4i-202i3−2i3200000−i6i6−2222−220002i2−2i22i−2i23−23000000000−i6i6−2200000006−6−i2i200000000000000000000000000
χ814-404-2002i3−2i3-42−22224i−4i-202i3−2i3200000i6−i62−2−22220002i2−2i2−2i2i−2323000000000i6−i62−200000006−6−i2i200000000000000000000000000
χ824-404-2002i3−2i3-42−2222−4i4i-202i3−2i3200000i6−i62−2−2222000−2i22i22i−2i23−23000000000i6−i62−20000000−66i2−i200000000000000000000000000
χ83888-4-4-8-8-4-4-4-400002-422204444000000000000000000000-2-2000000000000000000000000000000000000000000
χ8488-8-4-4-8844-4-4000024-2-220-444-40000000000000000000002-2000000000000000000000000000000000000000000
χ858-80-4800004-842−4200-40004000000042−42−222200000000000000000000−22220000000000000000000000000000000000000
χ868-80-4800004-8−424200-400040000000−424222−220000000000000000000022−220000000000000000000000000000000000000
χ878-80-4-400−4i34i34442−4200202i3−2i3-2000002i6−2i6−2222−2222000000000000000000−i6i62−20000000000000000000000000000000000000
χ888-80-4-400−4i34i344−424200202i3−2i3-200000−2i62i622−2222−22000000000000000000i6−i6−220000000000000000000000000000000000000
χ898-80-4-4004i3−4i34442−420020−2i32i3-200000−2i62i6−2222−2222000000000000000000i6−i62−20000000000000000000000000000000000000
χ908-80-4-4004i3−4i344−42420020−2i32i3-2000002i6−2i622−2222−22000000000000000000−i6i6−220000000000000000000000000000000000000

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