Finite Group Databasebeta

← Group #11895788

Character table — Group #11895788

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order122233446666663446661212121244481212121212122424242424242424444881212121212121212121222446666812122424242422448812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111-1-11111111-11-111-1-11-1111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-111-1-11111-111-1-1-1-1-1-111-1-1-1-11
χ411111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-11-1-1111-1-1-1-11-1-11111-1-111-11-1
χ5111111111111111111111111-1-11111111111111111-11111-1-111111111-11-11-1-111-11-1-1-111-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-111-1-1-11111-111-1-111-1-1111-1-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-11111-1-111-1-1111
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-111-1-111-1-1-1-1-111-1-1-1-11111-1-111-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-111-1-111-111-1-1-111-1-11-1-111-1-1-1-1111-11
χ11111111111111111-1-1111111111-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-1111-1111-1-111-1-1-1-1-111
χ13111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1111-1-111-111-1-1-1-1-1-111-111
χ14111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111111-1-111111111-1-1-1-1-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-11111111111-11111-1-111-1-1-1-1-1-11-11-111-1-1-11-1-1-11111-1-1-1-11-11
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1
χ17222222-2-2222222200222-2-2-2-222000000-2-200000000-22-2002222000000000000000-2-20000002-200000
χ18222222-2-2222222200222-2-2-2-222000000-2-200000000-2-220022-2-20000000000000002-2000000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-2000000-2-20000000022-200-2-222000000000000000-22000000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-2000000-2-2000000002-2200-2-2-2-2000000000000000220000002-200000
χ2122222-1222-12-12-1-122-1-1-12-12-1002222-1-1-1-122-1-1-1-1-1-10222200-1-1-12-1-1-1-1020200-1-10-1000-1-10000000-10
χ2222222-1222-12-12-1-122-1-1-12-12-1002222-1-1-1-122-1-1-1-1-1-10-2-2-2-20011-12-1-1-1-10-20-200110100011000000010
χ2322222-1222-12-12-1-122-1-1-12-12-100-2-222-1-1-1-1-2-2111111022-2-200-1-11-2-1-111020-200-1-10-100011000000010
χ2422222-1222-12-12-1-122-1-1-12-12-100-2-222-1-1-1-1-2-21111110-2-22200111-2-1-1110-202001101000-1-10000000-10
χ2522222-1222-12-12-1-1-2-2-1-1-12-12-1002-2-2-211-1-1-2-2111111022-2-200-1-1-1211-1-10-20200110-1000110000000-10
χ2622222-1222-12-12-1-1-2-2-1-1-12-12-1002-2-2-211-1-1-2-21111110-2-2220011-1211-1-1020-200-1-101000-1-1000000010
χ2722222-1222-12-12-1-1-2-2-1-1-12-12-100-22-2-211-1-122-1-1-1-1-1-10222200-1-11-211110-20-200110-1000-1-1000000010
χ2822222-1222-12-12-1-1-2-2-1-1-12-12-100-22-2-211-1-122-1-1-1-1-1-10-2-2-2-200111-21111020200-1-101000110000000-10
χ292222-1222-12-12-12-122-1-1-1-12-122222-1-122-1-1-1-122-1-1-1-120000-1-1002-1-1-1-1-12020-1-10020-1-1-100000000-100
χ302222-1222-12-12-12-122-1-1-1-12-1222-2-2-1-122-1-111-2-2111120000-1-100-21-1-11120-20-1-100-20-11100000000100
χ312222-1222-12-12-12-122-1-1-1-12-12-2-222-1-122-1-1-1-122-1-1-1-1-2000011002-1-1-1-1-1-20-201100-2011100000000100
χ322222-1222-12-12-12-122-1-1-1-12-12-2-2-2-2-1-122-1-111-2-21111-200001100-21-1-111-20201100201-1-100000000-100
χ332222-1222-12-12-12-1-2-2-1-1-1-12-12222-211-2-2-1-111-2-2111120000-1-1002-111-1-1-20201100-20-11100000000-100
χ342222-1222-12-12-12-1-2-2-1-1-1-12-1222-2211-2-2-1-1-1-122-1-1-1-120000-1-100-211111-20-20110020-1-1-100000000100
χ352222-1222-12-12-12-1-2-2-1-1-1-12-12-2-22-211-2-2-1-111-2-21111-2000011002-111-1-120-20-1-100201-1-100000000100
χ362222-1222-12-12-12-1-2-2-1-1-1-12-12-2-2-2211-2-2-1-1-1-122-1-1-1-1-200001100-2111112020-1-100-2011100000000-100
χ3722-2-2222-222-2-2-2-222i−2i2-2-2-2-22200002i−2i2i−2i-2200000000000000000002i−2i000000000000000002-2002i−2i000
χ3822-2-2222-222-2-2-2-222i−2i2-2-2-2-22200002i−2i2i−2i-2200000000000000000002i−2i00000000000000000-2200−2i2i000
χ3922-2-2222-222-2-2-2-22−2i2i2-2-2-2-2220000−2i2i−2i2i-220000000000000000000−2i2i000000000000000002-200−2i2i000
χ4022-2-2222-222-2-2-2-22−2i2i2-2-2-2-2220000−2i2i−2i2i-220000000000000000000−2i2i00000000000000000-22002i−2i000
χ4144444-2-4-44-24-24-2-200-2-2-2-42-4200000000220000000004-40000-2-2000000000000000200000000000000
χ4244444-2-4-44-24-24-2-200-2-2-2-42-420000000022000000000-44000022000000000000000-200000000000000
χ434444-24-4-4-24-24-24-200-2-2-22-42-4440000002200000000-40000-2-200000000000000000020000000000000
χ444444-24-4-4-24-24-24-200-2-2-22-42-4-4-400000022000000004000022000000000000000000-20000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-211-2-2-2-21111000000000-2-21111000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-2112222-1-1-1-10000000002211-1-1000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222112222-1-1-1-1000000000-2-2-1-111000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-44222211-2-2-2-2111100000000022-1-1-1-1000000000000000000000000
χ4944-4-444-4444-4-4-4-44004-4-444-4-4000000004-400000000000000000000000000000000000000000000000
χ5044-4-44-24-44-2-42-42-24i−4i-222-424-200004i−4i−2i2i2-20000000000000000000−2i2i00000000000000000000000000
χ5144-4-44-24-44-2-42-42-2−4i4i-222-424-20000−4i4i2i−2i2-200000000000000000002i−2i00000000000000000000000000
χ5244-4-44-2-444-2-42-42-200-2224-2-4200000000-2200000000000000000000000000000−2i32i30000000000000000
χ5344-4-44-2-444-2-42-42-200-2224-2-4200000000-22000000000000000000000000000002i3−2i30000000000000000
χ5444-4-4-244-4-242-42-4-24i−4i-2222-4-240000−2i2i4i−4i2-20000000000000000000−2i2i00000000000000000000000000
χ5544-4-4-244-4-242-42-4-2−4i4i-2222-4-2400002i−2i−4i4i2-200000000000000000002i−2i00000000000000000000000000
χ5644-4-4-24-44-242-42-4-200-222-242-400000000-22000000000000000000000000000−2i32i3000000000000000000
χ5744-4-4-24-44-242-42-4-200-222-242-400000000-220000000000000000000000000002i3−2i3000000000000000000
χ5844-4-4-2-24-4-2-2222214i−4i1-1-122-2-20000−2i2i−2i2i-11000033-3-300000000000i−i3i−3i000000000000000000000000
χ5944-4-4-2-24-4-2-2222214i−4i1-1-122-2-20000−2i2i−2i2i-110000-3-33300000000000i−i−3i3i000000000000000000000000
χ6044-4-4-2-24-4-2-222221−4i4i1-1-122-2-200002i−2i2i−2i-11000033-3-300000000000−ii−3i3i000000000000000000000000
χ6144-4-4-2-24-4-2-222221−4i4i1-1-122-2-200002i−2i2i−2i-110000-3-33300000000000−ii3i−3i000000000000000000000000
χ624-44-44400-4-44-4-44400-44-400004-40000000000000000000004-400000000000000000000000000000000
χ634-44-44400-4-44-4-44400-44-40000-44000000000000000000000-4400000000000000000000000000000000
χ644-44-4-24002-4-2-424-2002-2200004-4000000006−6006−66−600000-2200000000000000000006−600000000000
χ654-44-4-24002-4-2-424-2002-2200004-400000000−6600−66−6600000-220000000000000000000−6600000000000
χ664-44-4-24002-4-2-424-2002-220000-44000000006−6006−66−6000002-20000000000000000000−6600000000000
χ674-44-4-24002-4-2-424-2002-220000-4400000000−6600−66−66000002-200000000000000000006−600000000000
χ684-4-444400-4-4-444-4400-4-44000000000000000000000000022−220000000000000000000000022−22000000000
χ694-4-444400-4-4-444-4400-4-440000000000000000000000000−222200000000000000000000000−2222000000000
χ704-4-444-200-42-4-242-20022-200000000000000006−66−6−6600022−220023−230000000000000000000−22000000000
χ714-4-444-200-42-4-242-20022-200000000000000006−66−6−66000−222200−232300000000000000000002−2000000000
χ724-4-444-200-42-4-242-20022-20000000000000000−66−666−600022−2200−23230000000000000000000−22000000000
χ734-4-444-200-42-4-242-20022-20000000000000000−66−666−6000−22220023−2300000000000000000002−2000000000
χ748888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4-4-88-4-444442002-2-2-4-444000000002-200000000000000000000000000000000000000000000000
χ768-88-88-400-8484-8-4-4004-440000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-40044-444-4200-22-20000000000000026−2600−66−66000000000000000000000000000000000000000
χ788-88-8-4-40044-444-4200-22-200000000000000−2626006−66−6000000000000000000000000000000000000000
χ798-8-88-48004-848-4-8-40044-40000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400444-4-44200-2-22000000000000000026−26−666−6000000000000000000000000000000000000000
χ818-8-88-4-400444-4-44200-2-220000000000000000−26266−6−66000000000000000000000000000000000000000

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