Finite Group Databasebeta

← Group #11899649

Character table — Group #11899649

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222222244444444444444488888888889912121212121212121616161616161616181818181824242424242424242424242436484848487272
order122334466883666668121212122424242444121224242424242444161616161616161612121212121212122248822444848484848484848866121222
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
χ911-111-1111111-1-1-1-11-1-1-11111111-1-11-1-111-1-11111-1-111-1-111-1-111-1-11-1-1111-1-1111-1-111-1-1-11-1-111-1
χ1011-111-1111111-1-1-1-11-1-1-11111111-1-11-1-111-1-111-1-111-1-11111-1-111-1-11-1-111-111-1-1-111-1-111-1-111-11-1
χ1111-111-1111111-1-1-1-11-1-1-11111111-1-11-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-111-1-111-1-111-1-1-1-111111-1-1-11
χ1211-111-1111111-1-1-1-11-1-1-11111111-1-11-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-111-1-1-1-111-1-11111-1-11-1-111-11
χ1311-111-1111111-1-1-1-11-1-1-1111111-11-11-1-111-1-11111-1-111-1-1-1-111-1-1111-1-111-111-111-1-111-1-1-1-111-1-11
χ1411-111-1111111-1-1-1-11-1-1-1111111-11-11-1-111-1-111-1-111-1-111-1-111-1-1111-1-1111-1-11-1-111-1-111-11-1-11-11
χ1511-111-1111111-1-1-1-11-1-1-1111111-11-11-1-111-1-1-1-111-1-1-1-111-1-111-1-111-111-1-1-1-11111-1-1-1-1111-1-1111-1
χ1611-111-1111111-1-1-1-11-1-1-1111111-11-11-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-111-1-111-1-1-1-11111-1-1111-1-11-1
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
χ1922222-2-222002222220-2-2-2-2000000-2-2000000222−22−22−22−200000000-2-220000002−22−22−22−20000000
χ2022222-2-222002222220-2-2-2-2000000-2-200000022−22−22−22−2200000000-2-22000000−22−22−22−220000000
χ2122222-2-222002222220-2-2-2-2000000-2-2000000-2-22−22−2−22−220000000022-20000002−22−2−22−220000000
χ2222222-2-222002222220-2-2-2-2000000-2-2000000-2-2−22−222−22−20000000022-2000000−22−222−22−20000000
χ232222-1222-122-12-1-1-1-122-12-122-1-122-1-12-1-1-1-1-100000022222-12-1-1-1-1-10000002020000-1-1-1-100-10-100
χ242222-1222-122-12-1-1-1-122-12-122-1-122-1-12-1-1-1-1-1000000-2-2-2-22-12-1-1-1-1-1000000-20-2000011110010100
χ252222-1222-122-12-1-1-1-122-12-122-1-1-2-2-1-12-1-1-1-1-10000002222-21-211111000000-20-20000-1-1-1-10010100
χ262222-1222-122-12-1-1-1-122-12-122-1-1-2-2-1-12-1-1-1-1-1000000-2-2-2-2-21-2111110000002020000111100-10-100
χ27222-1222-1222-1-12-1-1-12-12-12-1-12222-1-1-12-1-1-1-10022220000-12-12-1-1-1-1000002020-1-1-1-100000-10-1000
χ28222-1222-1222-1-12-1-1-12-12-12-1-12222-1-1-12-1-1-1-100-2-2-2-20000-12-12-1-1-1-100000-20-20111100000101000
χ29222-1222-1222-1-12-1-1-12-12-12-1-122-2-2-1-1-12-1-1-1-100222200001-21-2111100000-20-20-1-1-1-100000101000
χ30222-1222-1222-1-12-1-1-12-12-12-1-122-2-2-1-1-12-1-1-1-100-2-2-2-200001-21-21111000002020111100000-10-1000
χ3122-2222-222002-2-2-2-22022-2-20000002-2000000222−2−222−2−2200000000-22-20000002−2−222−2−220000000
χ3222-2222-222002-2-2-2-22022-2-20000002-200000022−222−2−222−200000000-22-2000000−222−2−222−20000000
χ3322-2222-222002-2-2-2-22022-2-20000002-2000000-2-22−2−22−222−2000000002-220000002−2−22−222−20000000
χ3422-2222-222002-2-2-2-22022-2-20000002-2000000-2-2−222−22−2−22000000002-22000000−222−22−2−220000000
χ3522-222-2222-2-22-2-2-2-222-2-222-2-2-2-200-2222-2-2222200000000000000002-2-2-2-20000000000002000000
χ3622-222-2222-2-22-2-2-2-222-2-222-2-2-2-200-2222-2-222-2-20000000000000000-22222000000000000-2000000
χ3722-22-1-222-122-1-2111-1-2-212-122-1-12-21-1-21-1-11100000022-2-22-1-21-1-111000000-2020000-1-1110010-100
χ3822-22-1-222-122-1-2111-1-2-212-122-1-12-21-1-21-1-111000000-2-2222-1-21-1-11100000020-2000011-1-100-10100
χ3922-22-1-222-122-1-2111-1-2-212-122-1-1-221-1-21-1-11100000022-2-2-212-111-1-100000020-20000-1-11100-10100
χ4022-22-1-222-122-1-2111-1-2-212-122-1-1-221-1-21-1-111000000-2-222-212-111-1-1000000-202000011-1-10010-100
χ4122-2-12-22-1222-11-211-1-21-2-12-1-1222-21-11-2-1-1110022-2-20000-121-2-1-1110000020-20-1-11100000-101000
χ4222-2-12-22-1222-11-211-1-21-2-12-1-1222-21-11-2-1-11100-2-2220000-121-2-1-11100000-202011-1-10000010-1000
χ4322-2-12-22-1222-11-211-1-21-2-12-1-122-221-11-2-1-1110022-2-200001-2-1211-1-100000-2020-1-1110000010-1000
χ4422-2-12-22-1222-11-211-1-21-2-12-1-122-221-11-2-1-11100-2-22200001-2-1211-1-10000020-2011-1-100000-101000
χ454444-2444-2-4-4-24-2-2-2-2-44-24-2-4-42200-2-2-422222000000000000000000000000000000000000000000
χ464444-2-4-44-200-24-2-2-2-20-42-420000002200000000000022−2222−22000000000000000000000−22−220000000
χ474444-2-4-44-200-24-2-2-2-20-42-4200000022000000000000−2222−22220000000000000000000002−22−20000000
χ48444-2444-24-4-4-2-24-2-2-2-4-24-2422-4-400-2-22-42222000000000000000000000000000000000000000000
χ49444-24-4-4-2400-2-24-2-2-202-42-4000000220000000022−2222−22000000000000000000000−22−2200000000000
χ50444-24-4-4-2400-2-24-2-2-202-42-40000002200000000−2222−22220000000000000000000002−22−200000000000
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
χ5544-44-24-44-200-2-4222-204-2-42000000-2200000000000022−22−2222000000000000000000000−222−20000000
χ5644-44-24-44-200-2-4222-204-2-42000000-22000000000000−222222−220000000000000000000002−2−220000000
χ5744-44-2-444-2-4-4-2-4222-24-424-2-4-422002-24-222-2-2000000000000000000000000000000000000000000
χ5844-4-244-4-2400-22-422-20-242-4000000-220000000022−22−2222000000000000000000000−222−200000000000
χ5944-4-244-4-2400-22-422-20-242-4000000-2200000000−222222−220000000000000000000002−2−2200000000000
χ6044-4-24-44-24-4-4-22-422-242-4-2422-4-4002-2-2422-2-2000000000000000000000000000000000000000000
χ6144-4-2-2-44-2-244122-1-11-422-2-2-2-2-2-24-4-112211-1-10000000000-2-22211-1-1000000000000000000000000
χ6244-4-2-2-44-2-244122-1-11-422-2-2-2-2-2-2-44-112211-1-1000000000022-2-2-1-111000000000000000000000000
χ6344-4-2-2-44-2-2-4-4122-1-11422-2-2222200-11-2-2-1-111000000000000003-3-33000000000000000000000000
χ6444-4-2-2-44-2-2-4-4122-1-11422-2-2222200-11-2-2-1-11100000000000000-333-3000000000000000000000000
χ654-404400-4-422−2240000-40000022−2222−2200000022−22004i−4i00000000000000000002i2−2i20000000000000000000
χ664-404400-4-422−2240000-40000022−2222−2200000022−2200−4i4i0000000000000000000−2i22i20000000000000000000
χ674-404400-4-4−222240000-400000−2222−2222000000−2222004i−4i0000000000000000000−2i22i20000000000000000000
χ684-404400-4-4−222240000-400000−2222−2222000000−222200−4i4i00000000000000000002i2−2i20000000000000000000
χ69888-4-4-8-8-4-4002-4-422204444000000-2-2000000000000000000000000000000000000000000000000
χ7088-8-4-48-8-4-400244-2-220-4-4440000002-2000000000000000000000000000000000000000000000000
χ718-808-400-8442−42-4000040000042−42−2222000000−222200000000000000000000000000000000000000000000
χ728-808-400-84−4242-40000400000−424222−2200000022−2200000000000000000000000000000000000000000000
χ738-80-48004-842−42-40000400000−222242−42000000−222200000000000000000000000000000000000000000000
χ748-80-48004-8−4242-4000040000022−22−424200000022−2200000000000000000000000000000000000000000000
χ758-80-4-4004442−422006-6-200000−2222−22220000002−232−32000000000000000000000000000000000000000000
χ768-80-4-4004442−42200-66-200000−2222−22220000002−2−3232000000000000000000000000000000000000000000
χ778-80-4-40044−42422006-6-20000022−2222−22000000−22−3232000000000000000000000000000000000000000000
χ788-80-4-40044−4242200-66-20000022−2222−22000000−2232−32000000000000000000000000000000000000000000

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