Finite Group Databasebeta

← Group #11897554

Character table — Group #11897554

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order1222334466666622366612121212444666681212242424242424242444488121212126612121212444481212121212122424242422448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-1-1-1-1-11111111111-1-111-1-1-11111-1-1-1-1-1-1-1-1-11-1
χ311111111111111111111111111-11111-111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-11-1-11-1111111-1-1-1-1-1-111-1-1-1-11
χ411111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-11-11-1-11-1-1-111-1-11111-1-1111-1-1
χ5111111111111111111111111-1-111111111111111111-111111-1-1111111-1-111-1-1111-1-1-1-111-1-1-1-1-1-11-1-1
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
χ7111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1-11-111-1111-1-111-1-111-1-111-11-1
χ8111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-11-1-1-1-1-1-11111-1-111-1-1111
χ911111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-11111-111-1-11-1-11-1-1-1-1-1-11111-1-111-1
χ1011111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-11-11-1111-1-1-1-1-111-1-1-1-111-111
χ1111111111111111-1-11111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-11111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-111111111111-11-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1-1-1-11-11
χ1311111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111111-11-11-1-1-111111-1-1-1-1-1-1111-11
χ1411111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-111-111-11111111111-1-1-1-1-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-1111111111111-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-11111-1-1-1-1-111
χ1611111111111111-1-111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-1-1-1111111-1
χ17222222-2-2222222002222-2-2-2-222000000-2-2000000002-2-200-2-22200000000000-2002000000002-200000
χ18222222-2-2222222002222-2-2-2-222000000-2-200000000-2-2200222200000000000-200-200000000-2200000
χ19222222-2-2222222002222-2-2-2-2-2-2000000-2-20000000022-200-2-2-2-200000000000200200000000-2200000
χ20222222-2-2222222002222-2-2-2-2-2-2000000-2-200000000-2220022-2-200000000000200-2000000002-200000
χ2122222-1222-12-1-1222-1-1-1-12-12-100222-1-12-1-122-1-1-1-1-1-120222-1-100-1-1-12-1-1002200-1-1-10000-1-1000000-100
χ2222222-1222-12-1-1222-1-1-1-12-12-100222-1-12-1-122-1-1-1-1-1-1-20-2-2-21100-1-1-12-1-100-2-200111000011000000100
χ2322222-1222-12-1-1222-1-1-1-12-12-100-222-1-1-2-1-1-2-2111111202-2-2-1-100-1-11-21100-2200-1-1-1000011000000100
χ2422222-1222-12-1-1222-1-1-1-12-12-100-222-1-1-2-1-1-2-2111111-20-2221100-1-11-211002-2001110000-1-1000000-100
χ2522222-1222-12-1-12-2-2-1-1-1-12-12-1002-2-211-2-1-1-2-2111111202-2-2-1-10011-12-1-1002-20011-1000011000000-100
χ2622222-1222-12-1-12-2-2-1-1-1-12-12-1002-2-211-2-1-1-2-2111111-20-222110011-12-1-100-2200-1-110000-1-1000000100
χ2722222-1222-12-1-12-2-2-1-1-1-12-12-100-2-2-2112-1-122-1-1-1-1-1-120222-1-100111-21100-2-20011-10000-1-1000000100
χ2822222-1222-12-1-12-2-2-1-1-1-12-12-100-2-2-2112-1-122-1-1-1-1-1-1-20-2-2-21100111-211002200-1-11000011000000-100
χ292222-1222-12-122-122-1-1-1-1-12-12222-1-1222-1-1-1-122-1-1-1-10200000-1-1-1-12-1-1-122002-1000-1-1-1-1000000000-10
χ302222-1222-12-122-122-1-1-1-1-12-1222-2-1-122-2-1-111-2-211110200000-1-1-1-1-21112-200-2-1000-1-11100000000010
χ312222-1222-12-122-122-1-1-1-1-12-12-2-22-1-1222-1-1-1-122-1-1-1-10-20000011-1-12-1-1-1-2-200-21000111100000000010
χ322222-1222-12-122-122-1-1-1-1-12-12-2-2-2-1-122-2-1-111-2-211110-20000011-1-1-2111-22002100011-1-1000000000-10
χ332222-1222-12-122-1-2-2-1-1-1-1-12-1222211-2-2-2-1-111-2-211110200000-1-1112-1-1-1-2200-2-10001111000000000-10
χ342222-1222-12-122-1-2-2-1-1-1-1-12-1222-211-2-22-1-1-1-122-1-1-1-10200000-1-111-2111-2-2002-100011-1-100000000010
χ352222-1222-12-122-1-2-2-1-1-1-1-12-12-2-2211-2-2-2-1-111-2-211110-20000011112-1-1-12-20021000-1-1-1-100000000010
χ362222-1222-12-122-1-2-2-1-1-1-1-12-12-2-2-211-2-22-1-1-1-122-1-1-1-10-2000001111-21112200-21000-1-111000000000-10
χ3722-2-222-2222-2-2-2-22-22-22-222-2-20002-22-202-2000000000000000002-200000000000000000002-2002-2000
χ3822-2-222-2222-2-2-2-22-22-22-222-2-20002-22-202-2000000000000000002-20000000000000000000-2200-22000
χ3922-2-222-2222-2-2-2-2-222-22-222-2-2000-22-2202-200000000000000000-2200000000000000000002-200-22000
χ4022-2-222-2222-2-2-2-2-222-22-222-2-2000-22-2202-200000000000000000-220000000000000000000-22002-2000
χ4144444-2-4-44-24-2-2400-2-2-2-2-42-4200000000220000000040-400220000000000000000-2000000000000000
χ4244444-2-4-44-24-2-2400-2-2-2-2-42-42000000002200000000-40400-2-200000000000000002000000000000000
χ434444-24-4-4-24-244-200-2-2-2-22-42-44400000022000000000-400000-2-2000000000002000000000000000000
χ444444-24-4-4-24-244-200-2-2-2-22-42-4-4-4000000220000000004000002200000000000-2000000000000000000
χ454444-2-244-2-2-2-2-2-2441111-2-2-2-2004-2-2-2-2411-2-2-2-2111100000000011-2-211000000000000000000000000
χ464444-2-244-2-2-2-2-2-2441111-2-2-2-200-4-2-2-2-2-4112222-1-1-1-10000000001122-1-1000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20042222-4112222-1-1-1-1000000000-1-1-2-211000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200-42222411-2-2-2-21111000000000-1-122-1-1000000000000000000000000
χ4944-4-4444-444-4-4-4-4004-44-4-4-44400000000-4400000000000000000000000000000000000000000000000
χ5044-4-44-24-44-2-422-400-22-22-424-2000000002-20000000000000000000000000000023−230000000000000000
χ5144-4-44-24-44-2-422-400-22-22-424-2000000002-200000000000000000000000000000−23230000000000000000
χ5244-4-44-2-444-2-422-44-4-22-224-2-420004-4-220-2200000000000000000-220000000000000000000000000000
χ5344-4-44-2-444-2-422-4-44-22-224-2-42000-442-20-22000000000000000002-20000000000000000000000000000
χ5444-4-4-244-4-242-4-4200-22-222-4-24000000002-20000000000000000000000000000000023−230000000000000
χ5544-4-4-244-4-242-4-4200-22-222-4-24000000002-200000000000000000000000000000000−23230000000000000
χ5644-4-4-24-44-242-4-424-4-22-22-242-4000-224-40-2200000000000000000-220000000000000000000000000000
χ5744-4-4-24-44-242-4-42-44-22-22-242-40002-2-440-22000000000000000002-20000000000000000000000000000
χ5844-4-4-2-2-44-2-222224-41-11-1-2-222000-22-2201-100003i3i−3i−3i0000000001-1003i−3i000000000000000000000000
χ5944-4-4-2-2-44-2-222224-41-11-1-2-222000-22-2201-10000−3i−3i3i3i0000000001-100−3i3i000000000000000000000000
χ6044-4-4-2-2-44-2-22222-441-11-1-2-2220002-22-201-100003i3i−3i−3i000000000-1100−3i3i000000000000000000000000
χ6144-4-4-2-2-44-2-22222-441-11-1-2-2220002-22-201-10000−3i−3i3i3i000000000-11003i−3i000000000000000000000000
χ624-44-44400-4-4-4-444004-4-4400004-4000000000000000000000004-4000000000000000000000000000000
χ634-44-44400-4-4-4-444004-4-440000-4400000000000000000000000-44000000000000000000000000000000
χ644-44-4-24002-42-44-200-222-200004-400000000i6−i600i6−i6i6−i60000000-2200000000000000000i6−i600000000000
χ654-44-4-24002-42-44-200-222-200004-400000000−i6i600−i6i6−i6i60000000-2200000000000000000−i6i600000000000
χ664-44-4-24002-42-44-200-222-20000-4400000000i6−i600i6−i6i6−i600000002-200000000000000000−i6i600000000000
χ674-44-4-24002-42-44-200-222-20000-4400000000−i6i600−i6i6−i6i600000002-200000000000000000i6−i600000000000
χ684-4-444400-4-444-4-40044-4-40000000000000000000000000−2i22i200000000000000000000000−2i22i2000000000
χ694-4-444400-4-444-4-40044-4-400000000000000000000000002i2−2i2000000000000000000000002i2−2i2000000000
χ704-4-444-200-424-22-400-2-22200000000000000006−66−6−66000−2i22i2−2i32i3000000000000000000000i2−i2000000000
χ714-4-444-200-424-22-400-2-22200000000000000006−66−6−660002i2−2i22i3−2i3000000000000000000000−i2i2000000000
χ724-4-444-200-424-22-400-2-2220000000000000000−66−666−6000−2i22i22i3−2i3000000000000000000000i2−i2000000000
χ734-4-444-200-424-22-400-2-2220000000000000000−66−666−60002i2−2i2−2i32i3000000000000000000000−i2i2000000000
χ748888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4-48-8-4-44444002-22-244-4-400000000-2200000000000000000000000000000000000000000000000
χ768-88-88-400-84-84-4800-444-40000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-4004444-4-4002-2-22000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ788-88-8-4-4004444-4-4002-2-2200000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ798-8-88-48004-8-48-8400-4-4440000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-4-4440022-2-2000000000000000026−26−666−6000000000000000000000000000000000000000
χ818-8-88-4-40044-4-4440022-2-20000000000000000−26266−6−66000000000000000000000000000000000000000

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