Finite Group Databasebeta

← Group #11796827

Character table — Group #11796827

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222222244444444444444488888888889912121212121212121616161616161616181818181824242424242424242424242436484848487272
order122334466883666668121212122424242444121224242424242422161616161616161612121212121212122448822444848484848484848866121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ3111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11-11-11111-1-1-1-1-11-11-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11-11-1-1-1-11111-1-11-11-1-1
χ511111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1
χ611111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1
χ711111111111111111111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-11-1111
χ811111111111111111111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-11-11-111
χ911-111-1111-1-111-1-1-1-11-1-111-1-1-1-1i−i-111111-1-111ii−i−iii−i−iiiii−i−i−i−i-11-1-1-111-1-1ii−i−iii−i−i111-1-1i−i
χ1011-111-1111-1-111-1-1-1-11-1-111-1-1-1-1i−i-111111-1-111−i−iii−i−iiiiiii−i−i−i−i-11-1-1-1-1-111−i−iii−i−iii1-1-111i−i
χ1111-111-1111-1-111-1-1-1-11-1-111-1-1-1-1i−i-111111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i1-11111-1-11ii−i−i−i−iii-11-1-11−ii
χ1211-111-1111-1-111-1-1-1-11-1-111-1-1-1-1i−i-111111-1-1-1-1−i−iiiii−i−iiiii−i−i−i−i1-1111-111-1−i−iiiii−i−i-1-111-1−ii
χ1311-111-1111-1-111-1-1-1-11-1-111-1-1-1-1−ii-111111-1-111ii−i−iii−i−i−i−i−i−iiiii-11-1-1-1-1-111ii−i−iii−i−i1-1-111−ii
χ1411-111-1111-1-111-1-1-1-11-1-111-1-1-1-1−ii-111111-1-111−i−iii−i−iii−i−i−i−iiiii-11-1-1-111-1-1−i−iii−i−iii111-1-1−ii
χ1511-111-1111-1-111-1-1-1-11-1-111-1-1-1-1−ii-111111-1-1-1-1ii−i−i−i−iii−i−i−i−iiiii1-1111-111-1ii−i−i−i−iii-1-111-1i−i
χ1611-111-1111-1-111-1-1-1-11-1-111-1-1-1-1−ii-111111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiii1-11111-1-11−i−iiiii−i−i-11-1-11i−i
χ17222222222-2-2222222-22222-2-2-2-20022-2-2-2-2-2-2220000000000000000222-2-2000000000000-2000000
χ18222222222-2-2222222-22222-2-2-2-20022-2-2-2-2-2-2-2-20000000000000000-2-2-2220000000000002000000
χ1922222-2-222002222220-2-2-2-2000000-2-2000000222−22−22−22−2000000002-2-20000002−22−22−22−20000000
χ2022222-2-222002222220-2-2-2-2000000-2-200000022−22−22−22−22000000002-2-2000000−22−22−22−220000000
χ2122222-2-222002222220-2-2-2-2000000-2-2000000-2-22−22−2−22−2200000000-2220000002−22−2−22−220000000
χ2222222-2-222002222220-2-2-2-2000000-2-2000000-2-2−22−222−22−200000000-222000000−22−222−22−20000000
χ232222-1222-122-1-12-1-1-122-12-122-1-122-1-12-1-1-1-1-100000022222-1-1-12-1-1-10000002020000-1-1-1-100-10-100
χ242222-1222-122-1-12-1-1-122-12-122-1-122-1-12-1-1-1-1-1000000-2-2-2-22-1-1-12-1-1-1000000-20-2000011110010100
χ252222-1222-122-1-12-1-1-122-12-122-1-1-2-2-1-12-1-1-1-1-10000002222-2111-2111000000-20-20000-1-1-1-10010100
χ262222-1222-122-1-12-1-1-122-12-122-1-1-2-2-1-12-1-1-1-1-1000000-2-2-2-2-2111-21110000002020000111100-10-100
χ27222-1222-1222-1-1-12-1-12-12-12-1-12222-1-1-12-1-1-1-10022220000-12-1-1-12-1-1000002020-1-1-1-100000-10-1000
χ28222-1222-1222-1-1-12-1-12-12-12-1-12222-1-1-12-1-1-1-100-2-2-2-20000-12-1-1-12-1-100000-20-20111100000101000
χ29222-1222-1222-1-1-12-1-12-12-12-1-122-2-2-1-1-12-1-1-1-100222200001-2111-21100000-20-20-1-1-1-100000101000
χ30222-1222-1222-1-1-12-1-12-12-12-1-122-2-2-1-1-12-1-1-1-100-2-2-2-200001-2111-211000002020111100000-10-1000
χ3122-2222-2220022-2-2-2-2022-2-20000002-200000022i2−i2−i2i2i2−i2−i2i200000000-2-22000000i2−i2−i2i2i2−i2−i2i20000000
χ3222-2222-2220022-2-2-2-2022-2-20000002-200000022−i2i2i2−i2−i2i2i2−i200000000-2-22000000−i2i2i2−i2−i2i2i2−i20000000
χ3322-2222-2220022-2-2-2-2022-2-20000002-2000000-2-2i2−i2−i2i2−i2i2i2−i20000000022-2000000i2−i2−i2i2−i2i2i2−i20000000
χ3422-2222-2220022-2-2-2-2022-2-20000002-2000000-2-2−i2i2i2−i2i2−i2−i2i20000000022-2000000−i2i2i2−i2i2−i2−i2i20000000
χ3522-222-22222222-2-2-2-2-2-2-222222200-22-2-2-2-222220000000000000000-22-222000000000000-2000000
χ3622-222-22222222-2-2-2-2-2-2-222222200-22-2-2-2-222-2-200000000000000002-22-2-20000000000002000000
χ3722-22-1-222-1-2-2-1-1-21112-212-1-2-2112i−2i1-12-1-1-1110000002i2i−2i−2i2i−i−i−i−2iiii00000020-20000−i−iii00-10100
χ3822-22-1-222-1-2-2-1-1-21112-212-1-2-2112i−2i1-12-1-1-111000000−2i−2i2i2i2i−i−i−i−2iiii000000-2020000ii−i−i0010-100
χ3922-22-1-222-1-2-2-1-1-21112-212-1-2-211−2i2i1-12-1-1-1110000002i2i−2i−2i−2iiii2i−i−i−i000000-2020000−i−iii0010-100
χ4022-22-1-222-1-2-2-1-1-21112-212-1-2-211−2i2i1-12-1-1-111000000−2i−2i2i2i−2iiii2i−i−i−i00000020-20000ii−i−i00-10100
χ4122-2-12-22-12-2-2-1-11-21121-2-1211-2-22i−2i1-1-12-1-111002i2i−2i−2i0000−i2i−i−ii−2iii0000020-20−i−iii00000-101000
χ4222-2-12-22-12-2-2-1-11-21121-2-1211-2-22i−2i1-1-12-1-11100−2i−2i2i2i0000−i2i−i−ii−2iii00000-2020ii−i−i0000010-1000
χ4322-2-12-22-12-2-2-1-11-21121-2-1211-2-2−2i2i1-1-12-1-111002i2i−2i−2i0000i−2iii−i2i−i−i00000-2020−i−iii0000010-1000
χ4422-2-12-22-12-2-2-1-11-21121-2-1211-2-2−2i2i1-1-12-1-11100−2i−2i2i2i0000i−2iii−i2i−i−i0000020-20ii−i−i00000-101000
χ454444-2444-2-4-4-2-24-2-2-2-44-24-2-4-42200-2-2-422222000000000000000000000000000000000000000000
χ464444-2-4-44-200-2-24-2-2-20-42-420000002200000000000022−2222−22000000000000000000000−22−220000000
χ474444-2-4-44-200-2-24-2-2-20-42-4200000022000000000000−2222−22220000000000000000000002−22−20000000
χ48444-2444-24-4-4-2-2-24-2-2-4-24-2422-4-400-2-22-42222000000000000000000000000000000000000000000
χ49444-24-4-4-2400-2-2-24-2-202-42-4000000220000000022−2222−22000000000000000000000−22−2200000000000
χ50444-24-4-4-2400-2-2-24-2-202-42-40000002200000000−2222−22220000000000000000000002−22−200000000000
χ51444-2-244-2-24411-2-2114-2-2-2-2-2-2-2-24411-2-211110000000000-2-211-2-211000000000000000000000000
χ52444-2-244-2-24411-2-2114-2-2-2-2-2-2-2-2-4-411-2-21111000000000022-1-122-1-1000000000000000000000000
χ53444-2-244-2-2-4-411-2-211-4-2-2-2-22222001122-1-1-1-10000000000003-3003-3000000000000000000000000
χ54444-2-244-2-2-4-411-2-211-4-2-2-2-22222001122-1-1-1-1000000000000-3300-33000000000000000000000000
χ5544-44-24-44-200-2-2-422204-2-42000000-220000000000002i2−2i2−2i22i2000000000000000000000−i2i2i2−i20000000
χ5644-44-24-44-200-2-2-422204-2-42000000-22000000000000−2i22i22i2−2i2000000000000000000000i2−i2−i2i20000000
χ5744-44-2-444-244-2-2-4222-4-424-244-2-2002-2-4222-2-2000000000000000000000000000000000000000000
χ5844-4-244-4-2400-2-22-4220-242-4000000-22000000002i2−2i2−2i22i2000000000000000000000−i2i2i2−i200000000000
χ5944-4-244-4-2400-2-22-4220-242-4000000-2200000000−2i22i22i2−2i2000000000000000000000i2−i2−i2i200000000000
χ6044-4-24-44-2444-2-22-422-42-4-24-2-244002-22-422-2-2000000000000000000000000000000000000000000
χ6144-4-2-2-44-2-2441122-1-1-422-2-2-2-2-2-200-1122-1-1110000000000003i−3i00−3i3i000000000000000000000000
χ6244-4-2-2-44-2-2441122-1-1-422-2-2-2-2-2-200-1122-1-111000000000000−3i3i003i−3i000000000000000000000000
χ6344-4-2-2-44-2-2-4-41122-1-1422-2-222224i−4i-11-2-211-1-10000000000−2i−2iii2i2i−i−i000000000000000000000000
χ6444-4-2-2-44-2-2-4-41122-1-1422-2-22222−4i4i-11-2-211-1-100000000002i2i−i−i−2i−2iii000000000000000000000000
χ654-404400-4-42i2−2i24-40000000002i2−2i22i2−2i2000000002i2−2i24-400000000000000000002i2−2i20000000000000000000
χ664-404400-4-42i2−2i24-40000000002i2−2i22i2−2i2000000002i2−2i2-440000000000000000000−2i22i20000000000000000000
χ674-404400-4-4−2i22i24-4000000000−2i22i2−2i22i200000000−2i22i24-40000000000000000000−2i22i20000000000000000000
χ684-404400-4-4−2i22i24-4000000000−2i22i2−2i22i200000000−2i22i2-4400000000000000000002i2−2i20000000000000000000
χ69888-4-4-8-8-4-40022-4-42204444000000-2-2000000000000000000000000000000000000000000000000
χ7088-8-4-48-8-4-4002244-2-20-4-4440000002-2000000000000000000000000000000000000000000000000
χ718-808-400-844i2−4i2-440000000004i2−4i2−2i22i200000000−2i22i2000000000000000000000000000000000000000000
χ728-808-400-84−4i24i2-44000000000−4i24i22i2−2i2000000002i2−2i2000000000000000000000000000000000000000000
χ738-80-48004-84i2−4i2-44000000000−2i22i24i2−4i200000000−2i22i2000000000000000000000000000000000000000000
χ748-80-48004-8−4i24i2-440000000002i2−2i2−4i24i2000000002i2−2i2000000000000000000000000000000000000000000
χ758-80-4-400444i2−4i22-2006-600000−2i22i2−2i22i20000003i2−3i2i2−i2000000000000000000000000000000000000000000
χ768-80-4-400444i2−4i22-200-6600000−2i22i2−2i22i2000000−3i23i2i2−i2000000000000000000000000000000000000000000
χ778-80-4-40044−4i24i22-2006-6000002i2−2i22i2−2i2000000−3i23i2−i2i2000000000000000000000000000000000000000000
χ788-80-4-40044−4i24i22-200-66000002i2−2i22i2−2i20000003i2−3i2−i2i2000000000000000000000000000000000000000000

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