Finite Group Databasebeta

← Group #11796947

Character table — Group #11796947

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222222244444444444444488888888889912121212121212121616161616161616181818181824242424242424242424242436484848487272
order1223344668836668121212121212242424246881224242424242444161616161616161624242424242424242248822444848484848484848866121288
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
χ3111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1
χ5111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1
χ7111111111111111111111111111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-111
χ911-1111-111-1-11-1-11111-1-1-1-1-1-1-1-1-1i−i11111-1-111ii−i−iii−i−iiiii−i−i−i−i1-1-1-1-11-11-1ii−i−iii−i−i11-11-1i−i
χ1011-1111-111-1-11-1-11111-1-1-1-1-1-1-1-1-1i−i11111-1-111−i−iii−i−iiiiiii−i−i−i−i1-1-1-1-1-11-11−i−iii−i−iii1-11-11i−i
χ1111-1111-111-1-11-1-11111-1-1-1-1-1-1-1-1-1i−i11111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i-111111-1-11ii−i−i−i−iii-11-1-11−ii
χ1211-1111-111-1-11-1-11111-1-1-1-1-1-1-1-1-1i−i11111-1-1-1-1−i−iiiii−i−iiiii−i−i−i−i-11111-111-1−i−iiiii−i−i-1-111-1−ii
χ1311-1111-111-1-11-1-11111-1-1-1-1-1-1-1-1-1−ii11111-1-111ii−i−iii−i−i−i−i−i−iiiii1-1-1-1-1-11-11ii−i−iii−i−i1-11-11−ii
χ1411-1111-111-1-11-1-11111-1-1-1-1-1-1-1-1-1−ii11111-1-111−i−iii−i−iii−i−i−i−iiiii1-1-1-1-11-11-1−i−iii−i−iii11-11-1−ii
χ1511-1111-111-1-11-1-11111-1-1-1-1-1-1-1-1-1−ii11111-1-1-1-1ii−i−i−i−iii−i−i−i−iiiii-11111-111-1ii−i−i−i−iii-1-111-1i−i
χ1611-1111-111-1-11-1-11111-1-1-1-1-1-1-1-1-1−ii11111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiii-111111-1-11−i−iiiii−i−i-11-1-11i−i
χ17222222222-2-22222-2222222-2-2-2-22002-2-2-2-2-2-2220000000000000000222-2-2000000000000-2000000
χ18222222222-2-22222-2222222-2-2-2-22002-2-2-2-2-2-2-2-20000000000000000-2-2-2220000000000002000000
χ1922222-2-2220022220-2-2-2-2-2-20000200-200000022i2−i2i2−i2i2−i2i2−i200000000-2-22000000i2−i2i2−i2i2−i2i2−i20000000
χ2022222-2-2220022220-2-2-2-2-2-20000200-200000022−i2i2−i2i2−i2i2−i2i200000000-2-22000000−i2i2−i2i2−i2i2−i2i20000000
χ2122222-2-2220022220-2-2-2-2-2-20000200-2000000-2-2i2−i2i2−i2−i2i2−i2i20000000022-2000000i2−i2i2−i2−i2i2−i2i20000000
χ2222222-2-2220022220-2-2-2-2-2-20000200-2000000-2-2−i2i2−i2i2i2−i2i2−i20000000022-2000000−i2i2−i2i2i2−i2i2−i20000000
χ232222-122-1222-12-1-12-12-12-1-122-1-1-122-12-1-1-1-1-100222200002-1-1-12-1-1-1000002200-1-1-1-100000-1-10000
χ242222-122-1222-12-1-12-12-12-1-122-1-1-122-12-1-1-1-1-100-2-2-2-200002-1-1-12-1-1-100000-2-200111100000110000
χ252222-122-1222-12-1-12-12-12-1-122-1-1-1-2-2-12-1-1-1-1-10022220000-2111-211100000-2-200-1-1-1-100000110000
χ262222-122-1222-12-1-12-12-12-1-122-1-1-1-2-2-12-1-1-1-1-100-2-2-2-20000-2111-2111000002200111100000-1-10000
χ27222-12222-122-1-12-122-12-1-1-1-1-122-122-1-12-1-1-1-10000002222-12-1-1-12-1-10000000220000-1-1-1-1000-1-100
χ28222-12222-122-1-12-122-12-1-1-1-1-122-122-1-12-1-1-1-1000000-2-2-2-2-12-1-1-12-1-10000000-2-2000011110001100
χ29222-12222-122-1-12-122-12-1-1-1-1-122-1-2-2-1-12-1-1-1-100000022221-2111-2110000000-2-20000-1-1-1-10001100
χ30222-12222-122-1-12-122-12-1-1-1-1-122-1-2-2-1-12-1-1-1-1000000-2-2-2-21-2111-21100000002200001111000-1-100
χ3122-2222-222222-2-22-222-2-2-2-22222-2002-2-2-2-2222200000000000000002-2-222000000000000-2000000
χ3222-2222-222222-2-22-222-2-2-2-22222-2002-2-2-2-222-2-20000000000000000-222-2-20000000000002000000
χ3322-222-2222002-2-220-2-222220000-200-2000000222−2−222−2−2200000000-22-20000002−2−222−2−220000000
χ3422-222-2222002-2-220-2-222220000-200-200000022−222−2−222−200000000-22-2000000−222−2−222−20000000
χ3522-222-2222002-2-220-2-222220000-200-2000000-2-22−2−22−222−2000000002-220000002−2−22−222−20000000
χ3622-222-2222002-2-220-2-222220000-200-2000000-2-2−222−22−2−22000000002-22000000−222−22−2−220000000
χ3722-22-12-2-12-2-2-1-21-12-121-211-2-21112i−2i-12-1-1-111002i2i−2i−2i00002i−i−i−i−2iiii000002-200−i−iii00000-110000
χ3822-22-12-2-12-2-2-1-21-12-121-211-2-21112i−2i-12-1-1-11100−2i−2i2i2i00002i−i−i−i−2iiii00000-2200ii−i−i000001-10000
χ3922-22-12-2-12-2-2-1-21-12-121-211-2-2111−2i2i-12-1-1-111002i2i−2i−2i0000−2iiii2i−i−i−i00000-2200−i−iii000001-10000
χ4022-22-12-2-12-2-2-1-21-12-121-211-2-2111−2i2i-12-1-1-11100−2i−2i2i2i0000−2iiii2i−i−i−i000002-200ii−i−i00000-110000
χ4122-2-122-22-1-2-2-11-2-122-1-211111-2-212i−2i-1-12-1-1110000002i2i−2i−2i−i2i−i−ii−2iii00000002-20000−i−iii000-1100
χ4222-2-122-22-1-2-2-11-2-122-1-211111-2-212i−2i-1-12-1-111000000−2i−2i2i2i−i2i−i−ii−2iii0000000-220000ii−i−i0001-100
χ4322-2-122-22-1-2-2-11-2-122-1-211111-2-21−2i2i-1-12-1-1110000002i2i−2i−2ii−2iii−i2i−i−i0000000-220000−i−iii0001-100
χ4422-2-122-22-1-2-2-11-2-122-1-211111-2-21−2i2i-1-12-1-111000000−2i−2i2i2ii−2iii−i2i−i−i00000002-20000ii−i−i000-1100
χ454444-244-24-4-4-24-2-2-4-24-24-2-2-4-422-200-2-422222000000000000000000000000000000000000000000
χ464444-2-4-4-2400-24-2-202-42-4220000-2002000000002i2−2i22i2−2i2000000000000000000000−i2i2−i2i200000000000
χ474444-2-4-4-2400-24-2-202-42-4220000-200200000000−2i22i2−2i22i2000000000000000000000i2−i2i2−i200000000000
χ48444-24444-2-4-4-2-24-2-44-24-2-2-222-4-4-200-22-42222000000000000000000000000000000000000000000
χ49444-24-4-44-200-2-24-20-42-42220000-20020000000000002i2−2i22i2−2i2000000000000000000000−i2i2−i2i20000000
χ50444-24-4-44-200-2-24-20-42-42220000-2002000000000000−2i22i2−2i22i2000000000000000000000i2−i2i2−i20000000
χ51444-2-244-2-2441-2-214-2-2-2-211-2-2-2-21441-2-211110000000000-2-211-2-211000000000000000000000000
χ52444-2-244-2-2441-2-214-2-2-2-211-2-2-2-21-4-41-2-21111000000000022-1-122-1-1000000000000000000000000
χ53444-2-244-2-2-4-41-2-21-4-2-2-2-2112222100122-1-1-1-10000000000003-3003-3000000000000000000000000
χ54444-2-244-2-2-4-41-2-21-4-2-2-2-2112222100122-1-1-1-1000000000000-3300-33000000000000000000000000
χ5544-44-24-4-2444-2-42-2-4-242-42244-2-2200-2-4222-2-2000000000000000000000000000000000000000000
χ5644-44-2-44-2400-2-42-202-4-24-2-2000020020000000022−22−2222000000000000000000000−222−200000000000
χ5744-44-2-44-2400-2-42-202-4-24-2-20000200200000000−222222−220000000000000000000002−2−2200000000000
χ5844-4-244-44-244-22-4-2-44-2-4222-2-244200-22-422-2-2000000000000000000000000000000000000000000
χ5944-4-24-444-200-22-4-20-424-2-2-20000200200000000000022−22−2222000000000000000000000−222−20000000
χ6044-4-24-444-200-22-4-20-424-2-2-200002002000000000000−222222−220000000000000000000002−2−220000000
χ6144-4-2-24-4-2-2441221-4-2-222-1-1-2-2-2-2-100122-1-1110000000000003i−3i00−3i3i000000000000000000000000
χ6244-4-2-24-4-2-2441221-4-2-222-1-1-2-2-2-2-100122-1-111000000000000−3i3i003i−3i000000000000000000000000
χ6344-4-2-24-4-2-2-4-412214-2-222-1-12222-14i−4i1-2-211-1-10000000000−2i−2iii2i2i−i−i000000000000000000000000
χ6444-4-2-24-4-2-2-4-412214-2-222-1-12222-1−4i4i1-2-211-1-100000000002i2i−i−i−2i−2iii000000000000000000000000
χ654-404400-4-422−22400-4000000022−2222−220000000022−224i−4i00000000000000000002i2−2i20000000000000000000
χ664-404400-4-422−22400-4000000022−2222−220000000022−22−4i4i0000000000000000000−2i22i20000000000000000000
χ674-404400-4-4−2222400-40000000−2222−222200000000−22224i−4i0000000000000000000−2i22i20000000000000000000
χ684-404400-4-4−2222400-40000000−2222−222200000000−2222−4i4i00000000000000000002i2−2i20000000000000000000
χ69888-4-4-8-8-4-4002-4-4204444-2-20000200-2000000000000000000000000000000000000000000000000
χ7088-8-4-4-88-4-4002442044-4-4220000-200-2000000000000000000000000000000000000000000000000
χ718-808-4004-842−42-4004000000042−42−222200000000−2222000000000000000000000000000000000000000000
χ728-808-4004-8−4242-40040000000−424222−220000000022−22000000000000000000000000000000000000000000
χ738-80-4800-8442−42-40040000000−222242−4200000000−2222000000000000000000000000000000000000000000
χ748-80-4800-84−4242-4004000000022−22−42420000000022−22000000000000000000000000000000000000000000
χ758-80-4-4004442−42200-2000006i−6i−2222−22220000003i2−3i22−2000000000000000000000000000000000000000000
χ768-80-4-4004442−42200-200000−6i6i−2222−2222000000−3i23i22−2000000000000000000000000000000000000000000
χ778-80-4-40044−4242200-2000006i−6i22−2222−22000000−3i23i2−22000000000000000000000000000000000000000000
χ788-80-4-40044−4242200-200000−6i6i22−2222−220000003i2−3i2−22000000000000000000000000000000000000000000

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