Finite Group Databasebeta

← Group #11865316

Character table — Group #11865316

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11222222244444444444444888888888888888991212121212121212161616161616181818242424242424242424242424363636364848484872
order12222336623444666666666466661212121212121212121244222244446121212121244444446666121212122224121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ311111111111111111111111111111111111111-1-111-1-111-1-1111111-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1
χ5111111111111-1-1111111111-1111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1111111111-1-11-1-1-1-1-1
χ6111111111111-1-1111111111-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1
χ7111111111111-1-1111111111-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-11-1-1-1-1-11111-1-111-1-1-111-1-1-1111
χ8111111111111-1-1111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-1-1-111-1-1-1-111-1-111-111-111-1-11
χ9111111111-11-111111111111-1-1-111-1-111111111111-11-11-11-1-1-1-1-1-1-11111-11-11-11-11-11-1-111-11-11-1-1
χ10111111111-11-111111111111-1-1-111-1-11111111111-11-11-11-11-1-1-1-1-1-1111-11-11-11-11-11-11-111-1-11-11-1
χ11111111111-11-111111111111-1-1-111-1-111111111-1-11-1-111-1-11-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-111-1-111
χ12111111111-11-111111111111-1-1-111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11-1-11-111-11
χ13111111111-11-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1111-11-11-11-1-11111-1111-11-111-11-11-11-1-1-1-1-1-11-111
χ14111111111-11-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111-11-11-11-11-11111-11111-11-1-11-11-11-11-1-1-1-11-11-11
χ15111111111-11-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-11111-1-1-1-1-111-11-1-111-1-111111-111-1-1
χ16111111111-11-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-11-111-1-111-111111-1-11-1
χ17222222-12-12-12222-1-1-122-1-1-122-1-1-12-122-1-1-1-1-1-10000220022-12-1-1-1-1000002200-1-100-1-1000000-1-10
χ18222222-12-12-12222-1-1-122-1-1-122-1-1-12-122-1-1-1-1-1-10000-2-200-2-2-12-1-1-1-100000-2-200110011000000110
χ19222222-12-12-12-2-22-1-1-122-1-1-1-22-1-1-12-1-2-21111110000220022-1-2111-100000-2-200-1-100-1-1000000110
χ20222222-12-12-12-2-22-1-1-122-1-1-1-22-1-1-12-1-2-21111110000-2-200-2-2-1-2111-1000002200110011000000-1-10
χ21222222-12-1-2-1-2222-1-1-122-1-1-1-2-21-1-1-2122-1-1-1-1-1-100002-2002-21-21111000002-200-1100-11000000-110
χ22222222-12-1-2-1-2222-1-1-122-1-1-1-2-21-1-1-2122-1-1-1-1-1-10000-2200-221-2111100000-22001-1001-10000001-10
χ23222222-12-1-2-1-2-2-22-1-1-122-1-1-12-21-1-1-21-2-211111100002-2002-212-1-1-1100000-2200-1100-110000001-10
χ24222222-12-1-2-1-2-2-22-1-1-122-1-1-12-21-1-1-21-2-21111110000-2200-2212-1-1-11000002-2001-1001-1000000-110
χ2522222-12-122-1222-12-1-1-1-122-12-12-1-1-12-1-122-1-1-1-10022002200-1-12-1-1-10002200-1-100-1-1000000-1-1000
χ2622222-12-122-1222-12-1-1-1-122-12-12-1-1-12-1-122-1-1-1-100-2-200-2-200-1-12-1-1-1000-2-20011001100000011000
χ2722222-12-122-12-2-2-12-1-1-1-122-1-2-12-1-1-1211-2-211110022002200-11-211-1000-2-200-1-100-1-100000011000
χ2822222-12-122-12-2-2-12-1-1-1-122-1-2-12-1-1-1211-2-2111100-2-200-2-200-11-211-10002200110011000000-1-1000
χ2922222-12-12-2-1-222-12-1-1-1-122-1-21-2-1-11-2-1-122-1-1-1-1002-2002-20011-21110002-200-1100-11000000-11000
χ3022222-12-12-2-1-222-12-1-1-1-122-1-21-2-1-11-2-1-122-1-1-1-100-2200-220011-2111000-22001-1001-10000001-1000
χ3122222-12-12-2-1-2-2-2-12-1-1-1-122-121-2-1-11-211-2-21111002-2002-2001-12-1-11000-2200-1100-110000001-1000
χ3222222-12-12-2-1-2-2-2-12-1-1-1-122-121-2-1-11-211-2-2111100-2200-22001-12-1-110002-2001-1001-1000000-11000
χ33222-2-2222202000-2-2-2-22-22-220002-2000000000022020-20-2020000002-2-20000020-20-202000000000
χ34222-2-2222202000-2-2-2-22-22-220002-20000000000220-202020-20000002-2-200000-202020-2000000000
χ35222-2-2222202000-2-2-2-22-22-220002-20000000000-2-202020-20-2000000-222000002020-20-2000000000
χ36222-2-2222202000-2-2-2-22-22-220002-20000000000-2-20-20-20202000000-22200000-20-20202000000000
χ3722-22-2222202000-2-2-2-2-22-222000-2200000000002220-20-2020000000-22-2000020-20-2020000000000
χ3822-22-2222202000-2-2-2-2-22-222000-22000000000022-202020-20000000-22-20000-202020-20000000000
χ3922-22-2222202000-2-2-2-2-22-222000-220000000000-2-22020-20-200000002-2200002020-20-20000000000
χ4022-22-2222202000-2-2-2-2-22-222000-220000000000-2-2-20-2020200000002-220000-20-202020000000000
χ4122-2-22222222-2002222-2-2-2-22022-2-2-2-200000000220000000020000-2-2-22000000000000-200200000
χ4222-2-22222222-2002222-2-2-2-22022-2-2-2-200000000-2-20000000020000-222-2000000000000200-200000
χ4322-2-222222-222002222-2-2-2-220-2-2-2-222000000002200000000-200002-2-22000000000000200-200000
χ4422-2-222222-222002222-2-2-2-220-2-2-2-22200000000-2-200000000-20000222-2000000000000-200200000
χ4544444-2-2-2-241444-2-211-2-2-2-214-2-211-2-2-2-2-2-2111100000000001-2-2111000000000000000000000000
χ4644444-2-2-2-2414-4-4-2-211-2-2-2-21-4-2-211-2-22222-1-1-1-10000000000122-1-11000000000000000000000000
χ4744444-2-2-2-2-41-444-2-211-2-2-2-21-4221122-2-2-2-211110000000000-122-1-1-1000000000000000000000000
χ4844444-2-2-2-2-41-4-4-4-2-211-2-2-2-2142211222222-1-1-1-10000000000-1-2-211-1000000000000000000000000
χ49444-4-44-24-20-2000-42224-4-22-2000-220000000000000004000-40000000000000000-20002000000000
χ50444-4-44-24-20-2000-42224-4-22-2000-22000000000000000-4000400000000000000002000-2000000000
χ51444-4-4-24-240-20002-422-224-4-2000-2200000000000004000-40000000000000000-2000200000000000
χ52444-4-4-24-240-20002-422-224-4-2000-220000000000000-4000400000000000000002000-200000000000
χ5344-44-44-24-20-2000-4222-442-2-20002-2000000000000004000-40000000000000000-200020000000000
χ5444-44-44-24-20-2000-4222-442-2-20002-200000000000000-4000400000000000000002000-20000000000
χ5544-44-4-24-240-20002-4222-2-44-20002-20000000000004000-40000000000000000-20002000000000000
χ5644-44-4-24-240-20002-4222-2-44-20002-2000000000000-4000400000000000000002000-2000000000000
χ5744-4-444-24-24-2-4004-2-2-2-4-422-204-222-42000000000000000000-200002000000000000000000000000
χ5844-4-444-24-2-4-24004-2-2-2-4-422-20-42224-200000000000000000020000-2000000000000000000000000
χ5944-4-44-24-244-2-400-24-2-222-4-4-20-24222-4000000000000000000-200002000000000000000000000000
χ6044-4-44-24-24-4-2400-24-2-222-4-4-202-422-2400000000000000000020000-2000000000000000000000000
χ6144-4-44-2-2-2-241-400-2-211222210-2-2-1-122000033-3-300000000001003-3-1000000000000000000000000
χ6244-4-44-2-2-2-241-400-2-211222210-2-2-1-1220000-3-3330000000000100-33-1000000000000000000000000
χ6344-4-44-2-2-2-2-41400-2-21122221022-1-1-2-2000033-3-30000000000-100-331000000000000000000000000
χ6444-4-44-2-2-2-2-41400-2-21122221022-1-1-2-20000-3-3330000000000-1003-31000000000000000000000000
χ654-400044-4-40402i−2i00000000-400000002i−2i2i−2i2i−2i2i−2i4i−4i0000000000000000000000000000002-2000000
χ664-400044-4-40402i−2i00000000-400000002i−2i2i−2i2i−2i2i−2i−4i4i000000000000000000000000000000-22000000
χ674-400044-4-4040−2i2i00000000-40000000−2i2i−2i2i−2i2i−2i2i4i−4i000000000000000000000000000000-22000000
χ684-400044-4-4040−2i2i00000000-40000000−2i2i−2i2i−2i2i−2i2i−4i4i0000000000000000000000000000002-2000000
χ69888-8-8-4-4-4-40200044-2-2-44-4420002-200000000000000000000000000000000000000000000000000
χ7088-88-8-4-4-4-40200044-2-24-44-42000-2200000000000000000000000000000000000000000000000000
χ718-80008-4-840-404i−4i00000000400000004i−4i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ728-80008-4-840-40−4i4i0000000040000000−4i4i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ738-8000-484-80-404i−4i0000000040000000−2i2i4i−4i−2i2i−2i2i0000000000000000000000000000000000000000
χ748-8000-484-80-40−4i4i00000000400000002i−2i−4i4i2i−2i2i−2i0000000000000000000000000000000000000000
χ758-8000-4-4440204i−4i006-60000-20000000−2i2i−2i2i4i−4i−2i2i0000000000000000000000000000000000000000
χ768-8000-4-4440204i−4i00-660000-20000000−2i2i−2i2i−2i2i4i−4i0000000000000000000000000000000000000000
χ778-8000-4-444020−4i4i006-60000-200000002i−2i2i−2i−4i4i2i−2i0000000000000000000000000000000000000000
χ788-8000-4-444020−4i4i00-660000-200000002i−2i2i−2i2i−2i−4i4i0000000000000000000000000000000000000000

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