Finite Group Databasebeta

← Group #11796958

Character table — Group #11796958

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222222244444444444444488888888889912121212121212121616161616161616181818181824242424242424242424242436484848487272
order12233446688366666812121212242424244412122424242424244416161616161616161212121212121212224888888484848484848484882424242422
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
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
χ711111111111111111111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-111
χ911-1111-111-1-11-1-1-1-11111-1-1-1-1-1-11-1-111111-1-111ii−i−iii−i−i11-1-111-1-11-1-1-1-1i−ii−iii−i−iii−i−i1i−ii−i1-1
χ1011-1111-111-1-11-1-1-1-11111-1-1-1-1-1-11-1-111111-1-111−i−iii−i−iii11-1-111-1-11-1-1-1-1−ii−ii−i−iii−i−iii1−ii−ii1-1
χ1111-1111-111-1-11-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1ii−i−i−i−iii11-1-111-1-1-11111i−i−iiii−i−i−i−iii-1i−i−ii-11
χ1211-1111-111-1-11-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1−i−iiiii−i−i11-1-111-1-1-11111−iii−i−i−iiiii−i−i-1−iii−i-11
χ1311-1111-111-1-11-1-1-1-11111-1-1-1-1-1-1-11-111111-1-111ii−i−iii−i−i-1-111-1-1111-1-1-1-1−ii−iiii−i−iii−i−i1−ii−ii-11
χ1411-1111-111-1-11-1-1-1-11111-1-1-1-1-1-1-11-111111-1-111−i−iii−i−iii-1-111-1-1111-1-1-1-1i−ii−i−i−iii−i−iii1i−ii−i-11
χ1511-1111-111-1-11-1-1-1-11111-1-1-1-1-1-1-11-111111-1-1-1-1ii−i−i−i−iii-1-111-1-111-11111−iii−iii−i−i−i−iii-1−iii−i1-1
χ1611-1111-111-1-11-1-1-1-11111-1-1-1-1-1-1-11-111111-1-1-1-1−i−iiiii−i−i-1-111-1-111-11111i−i−ii−i−iiiii−i−i-1i−i−ii1-1
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
χ1922222-2-222002222220-2-2-2-2000000-2-200000022i2−i2i2−i2i2−i2i2−i200000000-2-22000000i2−i2i2−i2i2−i2i2−i20000000
χ2022222-2-222002222220-2-2-2-2000000-2-200000022−i2i2−i2i2−i2i2−i2i200000000-2-22000000−i2i2−i2i2−i2i2−i2i20000000
χ2122222-2-222002222220-2-2-2-2000000-2-2000000-2-2i2−i2i2−i2−i2i2−i2i20000000022-2000000i2−i2i2−i2−i2i2−i2i20000000
χ2222222-2-222002222220-2-2-2-2000000-2-2000000-2-2−i2i2−i2i2i2−i2i2−i20000000022-2000000−i2i2−i2i2i2−i2i2−i20000000
χ232222-1222-122-12-1-1-1-122-12-122-1-122-1-12-1-1-1-1-100000022222-12-1-1-1-1-10000000220000-1-1-1-1000-1-100
χ242222-1222-122-12-1-1-1-122-12-122-1-122-1-12-1-1-1-1-1000000-2-2-2-22-12-1-1-1-1-10000000-2-2000011110001100
χ252222-1222-122-12-1-1-1-122-12-122-1-1-2-2-1-12-1-1-1-1-10000002222-21-2111110000000-2-20000-1-1-1-10001100
χ262222-1222-122-12-1-1-1-122-12-122-1-1-2-2-1-12-1-1-1-1-1000000-2-2-2-2-21-21111100000002200001111000-1-100
χ27222-1222-1222-1-12-1-1-12-12-12-1-12222-1-1-12-1-1-1-10022220000-12-12-1-1-1-1000002200-1-1-1-100000-1-10000
χ28222-1222-1222-1-12-1-1-12-12-12-1-12222-1-1-12-1-1-1-100-2-2-2-20000-12-12-1-1-1-100000-2-200111100000110000
χ29222-1222-1222-1-12-1-1-12-12-12-1-122-2-2-1-1-12-1-1-1-100222200001-21-2111100000-2-200-1-1-1-100000110000
χ30222-1222-1222-1-12-1-1-12-12-12-1-122-2-2-1-1-12-1-1-1-100-2-2-2-200001-21-21111000002200111100000-1-10000
χ3122-2222-222222-2-2-2-22-222-2-2222200-22-2-2-2-2222200000000000000002-2-222000000000000-2000000
χ3222-2222-222222-2-2-2-22-222-2-2222200-22-2-2-2-222-2-20000000000000000-222-2-20000000000002000000
χ3322-222-2222002-2-2-2-220-2-2220000002-2000000222−2−222−2−2200000000-22-20000002−2−222−2−220000000
χ3422-222-2222002-2-2-2-220-2-2220000002-200000022−222−2−222−200000000-22-2000000−222−2−222−20000000
χ3522-222-2222002-2-2-2-220-2-2220000002-2000000-2-22−2−22−222−2000000002-220000002−2−22−222−20000000
χ3622-222-2222002-2-2-2-220-2-2220000002-2000000-2-2−222−22−2−22000000002-22000000−222−22−2−220000000
χ3722-22-12-22-1-2-2-1-2111-122-1-21-2-2112-21-12-1-1-1110000002i2i−2i−2i2-1-21-1-11100000002i−2i0000−i−iii000−ii00
χ3822-22-12-22-1-2-2-1-2111-122-1-21-2-2112-21-12-1-1-111000000−2i−2i2i2i2-1-21-1-1110000000−2i2i0000ii−i−i000i−i00
χ3922-22-12-22-1-2-2-1-2111-122-1-21-2-211-221-12-1-1-1110000002i2i−2i−2i-212-111-1-10000000−2i2i0000−i−iii000i−i00
χ4022-22-12-22-1-2-2-1-2111-122-1-21-2-211-221-12-1-1-111000000−2i−2i2i2i-212-111-1-100000002i−2i0000ii−i−i000−ii00
χ4122-2-122-2-12-2-2-11-211-12-121-211-2-22-21-1-12-1-111002i2i−2i−2i0000-121-2-1-111000002i−2i00−i−iii00000−ii0000
χ4222-2-122-2-12-2-2-11-211-12-121-211-2-22-21-1-12-1-11100−2i−2i2i2i0000-121-2-1-11100000−2i2i00ii−i−i00000i−i0000
χ4322-2-122-2-12-2-2-11-211-12-121-211-2-2-221-1-12-1-111002i2i−2i−2i00001-2-1211-1-100000−2i2i00−i−iii00000i−i0000
χ4422-2-122-2-12-2-2-11-211-12-121-211-2-2-221-1-12-1-11100−2i−2i2i2i00001-2-1211-1-1000002i−2i00ii−i−i00000−ii0000
χ454444-2444-2-4-4-24-2-2-2-2-44-24-2-4-42200-2-2-422222000000000000000000000000000000000000000000
χ464444-2-4-44-200-24-2-2-2-20-42-42000000220000000000002i2−2i22i2−2i2000000000000000000000−i2i2−i2i20000000
χ474444-2-4-44-200-24-2-2-2-20-42-4200000022000000000000−2i22i2−2i22i2000000000000000000000i2−i2i2−i20000000
χ48444-2444-24-4-4-2-24-2-2-2-4-24-2422-4-400-2-22-42222000000000000000000000000000000000000000000
χ49444-24-4-4-2400-2-24-2-2-202-42-400000022000000002i2−2i22i2−2i2000000000000000000000−i2i2−i2i200000000000
χ50444-24-4-4-2400-2-24-2-2-202-42-40000002200000000−2i22i2−2i22i2000000000000000000000i2−i2i2−i200000000000
χ51444-2-244-2-2441-2-21114-2-2-2-2-2-2-2-24411-2-211110000000000-2-2-2-21111000000000000000000000000
χ52444-2-244-2-2441-2-21114-2-2-2-2-2-2-2-2-4-411-2-2111100000000002222-1-1-1-1000000000000000000000000
χ53444-2-244-2-2-4-41-2-2111-4-2-2-2-22222001122-1-1-1-1000000000000003-33-3000000000000000000000000
χ54444-2-244-2-2-4-41-2-2111-4-2-2-2-22222001122-1-1-1-100000000000000-33-33000000000000000000000000
χ5544-44-24-44-244-2-4222-2-44-2-4244-2-2002-2-4222-2-2000000000000000000000000000000000000000000
χ5644-44-2-444-200-2-4222-20-424-2000000-2200000000000022−22−2222000000000000000000000−222−20000000
χ5744-44-2-444-200-2-4222-20-424-2000000-22000000000000−222222−220000000000000000000002−2−220000000
χ5844-4-244-4-2444-22-422-2-4-242-4-2-244002-22-422-2-2000000000000000000000000000000000000000000
χ5944-4-24-44-2400-22-422-202-4-24000000-220000000022−22−2222000000000000000000000−222−200000000000
χ6044-4-24-44-2400-22-422-202-4-24000000-2200000000−222222−220000000000000000000002−2−2200000000000
χ6144-4-2-24-4-2-244122-1-11-4-2-222-2-2-2-200-1122-1-111000000000000003-3-33000000000000000000000000
χ6244-4-2-24-4-2-244122-1-11-4-2-222-2-2-2-200-1122-1-11100000000000000-333-3000000000000000000000000
χ6344-4-2-24-4-2-2-4-4122-1-114-2-22222224-4-11-2-211-1-10000000000-2-22211-1-1000000000000000000000000
χ6444-4-2-24-4-2-2-4-4122-1-114-2-2222222-44-11-2-211-1-1000000000022-2-2-1-111000000000000000000000000
χ654-404400-4-422−2240000-40000022−2222−220000000022−224i−4i00000000000000000002i2−2i20000000000000000000
χ664-404400-4-422−2240000-40000022−2222−220000000022−22−4i4i0000000000000000000−2i22i20000000000000000000
χ674-404400-4-4−222240000-400000−2222−222200000000−22224i−4i0000000000000000000−2i22i20000000000000000000
χ684-404400-4-4−222240000-400000−2222−222200000000−2222−4i4i00000000000000000002i2−2i20000000000000000000
χ69888-4-4-8-8-4-4002-4-422204444000000-2-2000000000000000000000000000000000000000000000000
χ7088-8-4-4-88-4-400244-2-22044-4-40000002-2000000000000000000000000000000000000000000000000
χ718-808-400-8442−42-4000040000042−42−222200000000−2222000000000000000000000000000000000000000000
χ728-808-400-84−4242-40000400000−424222−220000000022−22000000000000000000000000000000000000000000
χ738-80-48004-842−42-40000400000−222242−4200000000−2222000000000000000000000000000000000000000000
χ748-80-48004-8−4242-4000040000022−22−42420000000022−22000000000000000000000000000000000000000000
χ758-80-4-4004442−422006-6-200000−2222−222200000032−322−2000000000000000000000000000000000000000000
χ768-80-4-4004442−42200-66-200000−2222−2222000000−32322−2000000000000000000000000000000000000000000
χ778-80-4-40044−42422006-6-20000022−2222−22000000−3232−22000000000000000000000000000000000000000000
χ788-80-4-40044−4242200-66-20000022−2222−2200000032−32−22000000000000000000000000000000000000000000

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