Finite Group Databasebeta

← Group #11899599

Character table — Group #11899599

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222222244444444444444488888888889912121212121212121616161616161616181818181824242424242424242424242436484848487272
order12233446688366681212121212122424242424612242424242424221616161616161616666612121212244884444484848484848484881212121224
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
χ911-111-1111111-1-11-1-1-1-1-11111111-1-11-1-111-1-11111-1-111-1-11111-1-1-1-1-11-1111-11-111-1-111-1-1-11-11-11-1
χ1011-111-1111111-1-11-1-1-1-1-11111111-1-11-1-111-1-111-1-111-1-1111111-1-1-1-1-11-111-11-11-1-111-1-111-1-11-111-1
χ1111-111-1111111-1-11-1-1-1-1-11111111-1-11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11-11-1-11-1-1111-1-1-1-11111-1-11-11
χ1211-111-1111111-1-11-1-1-1-1-11111111-1-11-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11-11-1-1-111-1-1-11111-1-11-111-1-11
χ1311-111-1111111-1-11-1-1-1-1-1111111-11-11-1-111-1-11111-1-111-1-1-1-1-1-11111-11-111-11-1111-1-111-1-1-1-11-11-11
χ1411-111-1111111-1-11-1-1-1-1-1111111-11-11-1-111-1-111-1-111-1-111-1-1-1-11111-11-1111-11-1-1-111-1-111-11-11-1-11
χ1511-111-1111111-1-11-1-1-1-1-1111111-11-11-1-111-1-1-1-111-1-1-1-111-1-1-1-111111-11-1-1-111-111-1-1-1-1111-111-11-1
χ1611-111-1111111-1-11-1-1-1-1-1111111-11-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1-11-1-11-1-11111-1-111-1-111-1
χ17222222222-2-22222-2222222-2-2-2-20022-2-2-2-2-2-2220000000000000000222-2-2000000000000-2000000
χ18222222222-2-22222-2222222-2-2-2-20022-2-2-2-2-2-2-2-20000000000000000-2-2-2220000000000002000000
χ1922222-2-2220022220-2-2-2-2-2-20000002-2000000222−22−22−22−2000000002-2-20000002−22−22−22−20000000
χ2022222-2-2220022220-2-2-2-2-2-20000002-200000022−22−22−22−22000000002-2-2000000−22−22−22−220000000
χ2122222-2-2220022220-2-2-2-2-2-20000002-2000000-2-22−22−2−22−2200000000-2220000002−22−2−22−220000000
χ2222222-2-2220022220-2-2-2-2-2-20000002-2000000-2-2−22−222−22−200000000-222000000−22−222−22−20000000
χ232222-1222-122-12-1-122-1-1-12-122-1-122-1-12-1-1-1-1-100000022222-1-1-12-1-1-10000000220000-1-1-1-1000-1-100
χ242222-1222-122-12-1-122-1-1-12-122-1-122-1-12-1-1-1-1-1000000-2-2-2-22-1-1-12-1-1-10000000-2-2000011110001100
χ252222-1222-122-12-1-122-1-1-12-122-1-1-2-2-1-12-1-1-1-1-10000002222-2111-21110000000-2-20000-1-1-1-10001100
χ262222-1222-122-12-1-122-1-1-12-122-1-1-2-2-1-12-1-1-1-1-1000000-2-2-2-2-2111-211100000002200001111000-1-100
χ27222-1222-1222-1-12-12-12-1-1-12-1-12222-1-1-12-1-1-1-10022220000-12-1-1-12-1-1000002200-1-1-1-100000-1-10000
χ28222-1222-1222-1-12-12-12-1-1-12-1-12222-1-1-12-1-1-1-100-2-2-2-20000-12-1-1-12-1-100000-2-200111100000110000
χ29222-1222-1222-1-12-12-12-1-1-12-1-122-2-2-1-1-12-1-1-1-100222200001-2111-21100000-2-200-1-1-1-100000110000
χ30222-1222-1222-1-12-12-12-1-1-12-1-122-2-2-1-1-12-1-1-1-100-2-2-2-200001-2111-211000002200111100000-1-10000
χ3122-2222-222002-2-2202222-2-2000000-2-2000000222−2−222−2−2200000000-2-220000002−2−222−2−220000000
χ3222-2222-222002-2-2202222-2-2000000-2-200000022−222−2−222−200000000-2-22000000−222−2−222−20000000
χ3322-2222-222002-2-2202222-2-2000000-2-2000000-2-22−2−22−222−20000000022-20000002−2−22−222−20000000
χ3422-2222-222002-2-2202222-2-2000000-2-2000000-2-2−222−22−2−220000000022-2000000−222−22−2−220000000
χ3522-222-2222-2-22-2-222-2-2-2-222-2-2-2-200-2222-2-222220000000000000000-22-2-2-20000000000002000000
χ3622-222-2222-2-22-2-222-2-2-2-222-2-2-2-200-2222-2-222-2-200000000000000002-2222000000000000-2000000
χ3722-22-1-222-122-1-21-1-2-21112-122-1-12-21-1-21-1-11100000022-2-22-1-1-1-211100000002-20000-1-111000-1100
χ3822-22-1-222-122-1-21-1-2-21112-122-1-12-21-1-21-1-111000000-2-2222-1-1-1-21110000000-22000011-1-10001-100
χ3922-22-1-222-122-1-21-1-2-21112-122-1-1-221-1-21-1-11100000022-2-2-21112-1-1-10000000-220000-1-1110001-100
χ4022-22-1-222-122-1-21-1-2-21112-122-1-1-221-1-21-1-111000000-2-222-21112-1-1-100000002-2000011-1-1000-1100
χ4122-2-12-22-1222-11-2-1-21-211-12-1-1222-21-11-2-1-1110022-2-20000-12-1-11-211000002-200-1-11100000-110000
χ4222-2-12-22-1222-11-2-1-21-211-12-1-1222-21-11-2-1-11100-2-2220000-12-1-11-21100000-220011-1-1000001-10000
χ4322-2-12-22-1222-11-2-1-21-211-12-1-122-221-11-2-1-1110022-2-200001-211-12-1-100000-2200-1-111000001-10000
χ4422-2-12-22-1222-11-2-1-21-211-12-1-122-221-11-2-1-11100-2-22200001-211-12-1-1000002-20011-1-100000-110000
χ454444-2444-2-4-4-24-2-2-44-2-2-24-2-4-42200-2-2-422222000000000000000000000000000000000000000000
χ464444-2-4-44-200-24-2-20-4222-42000000-2200000000000022−2222−22000000000000000000000−22−220000000
χ474444-2-4-44-200-24-2-20-4222-42000000-22000000000000−2222−22220000000000000000000002−22−20000000
χ48444-2444-24-4-4-2-24-2-4-24-2-2-2422-4-400-2-22-42222000000000000000000000000000000000000000000
χ49444-24-4-4-2400-2-24-202-4222-4000000-220000000022−2222−22000000000000000000000−22−2200000000000
χ50444-24-4-4-2400-2-24-202-4222-4000000-2200000000−2222−22220000000000000000000002−22−200000000000
χ51444-2-244-2-2441-2-214-2-211-2-2-2-2-2-24411-2-211110000000000-2-211-2-211000000000000000000000000
χ52444-2-244-2-2441-2-214-2-211-2-2-2-2-2-2-4-411-2-21111000000000022-1-122-1-1000000000000000000000000
χ53444-2-244-2-2-4-41-2-21-4-2-211-2-22222001122-1-1-1-10000000000003-3003-3000000000000000000000000
χ54444-2-244-2-2-4-41-2-21-4-2-211-2-22222001122-1-1-1-1000000000000-3300-33000000000000000000000000
χ5544-44-24-44-200-2-42-204-2-2-2-420000002200000000000022−22−2222000000000000000000000−222−20000000
χ5644-44-24-44-200-2-42-204-2-2-2-4200000022000000000000−222222−220000000000000000000002−2−220000000
χ5744-44-2-444-2-4-4-2-42-24-42224-2-4-422002-24-222-2-2000000000000000000000000000000000000000000
χ5844-4-244-4-2400-22-4-20-24-2-22-4000000220000000022−22−2222000000000000000000000−222−200000000000
χ5944-4-244-4-2400-22-4-20-24-2-22-40000002200000000−222222−220000000000000000000002−2−2200000000000
χ6044-4-24-44-24-4-4-22-4-242-422-2422-4-4002-2-2422-2-2000000000000000000000000000000000000000000
χ6144-4-2-2-44-2-2441221-422-1-1-2-2-2-2-2-24-4-112211-1-10000000000-2-21122-1-1000000000000000000000000
χ6244-4-2-2-44-2-2441221-422-1-1-2-2-2-2-2-2-44-112211-1-1000000000022-1-1-2-211000000000000000000000000
χ6344-4-2-2-44-2-2-4-41221422-1-1-2-2222200-11-2-2-1-1110000000000003-300-33000000000000000000000000
χ6444-4-2-2-44-2-2-4-41221422-1-1-2-2222200-11-2-2-1-111000000000000-33003-3000000000000000000000000
χ654-404400-4-422−22400-4000000022−2222−2200000022−22004-4000000000000000000022−220000000000000000000
χ664-404400-4-422−22400-4000000022−2222−2200000022−2200-440000000000000000000−22220000000000000000000
χ674-404400-4-4−2222400-40000000−2222−2222000000−2222004-40000000000000000000−22220000000000000000000
χ684-404400-4-4−2222400-40000000−2222−2222000000−222200-44000000000000000000022−220000000000000000000
χ69888-4-4-8-8-4-4002-4-42044-2-2440000002-2000000000000000000000000000000000000000000000000
χ7088-8-4-48-8-4-40024420-4-42244000000-2-2000000000000000000000000000000000000000000000000
χ718-808-400-8442−42-4004000000042−42−2222000000−222200000000000000000000000000000000000000000000
χ728-808-400-84−4242-40040000000−424222−2200000022−2200000000000000000000000000000000000000000000
χ738-80-48004-842−42-40040000000−222242−42000000−222200000000000000000000000000000000000000000000
χ748-80-48004-8−4242-4004000000022−22−424200000022−2200000000000000000000000000000000000000000000
χ758-80-4-4004442−42200-20006i−6i00−2222−22220000002−23i2−3i2000000000000000000000000000000000000000000
χ768-80-4-4004442−42200-2000−6i6i00−2222−22220000002−2−3i23i2000000000000000000000000000000000000000000
χ778-80-4-40044−4242200-20006i−6i0022−2222−22000000−22−3i23i2000000000000000000000000000000000000000000
χ788-80-4-40044−4242200-2000−6i6i0022−2222−22000000−223i2−3i2000000000000000000000000000000000000000000

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