Finite Group Databasebeta

← Group #11884603

Character table — Group #11884603

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order1222334466666622366612121212444666681212242424242424242422488121212126612121212244466812121212242424244444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-111111111-111-11-11-1-11111-1-1-1-1-1-1-1-1-11-1
χ311111111111111111111111111-11111-111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-11-1111-11111-1-1-1-111-1-1-1-1-1-11
χ411111111111111111111111111-11111-111-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-11-1-1-1-111-1-111-1-111111-1-1
χ5111111111111111111111111-1-11111111111111111-1111111-1-11111111-1-11-11-111-1-1-1-111-1-1-1-1-1-11-1-1
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
χ7111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-11111-1-111-1-1-1-11111-11-1
χ8111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11-1-1-11-1-1-1-1111111-1-1-1-1111
χ911111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-111111-11-111-1-1-1-1-1-1-1-1-11111-1-111-1
χ1011111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-111-1-11111-1-1111-1-111-1-1-1-111-1-1-1-111-111
χ1111111111111111-1-11111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1111-1-111-1-1-1-111-1-11-11
χ1311111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-1111-11
χ1411111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-11-1-11111111111111-1-1-1-1-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-111111111111-1111111-1-1-1-1-1-1-1-1-111-1-11-1-1-111-1-111-1-111-1-1-111
χ1611111111111111-1-111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-111-1-11111-1
χ17222222-2-2222222002222-2-2-2-222000000-2-200000000-22-200-2-2220000000000-220000000002-20000000
χ18222222-2-2222222002222-2-2-2-222000000-2-200000000-2-220022220000000000-2-2000000000-220000000
χ19222222-2-2222222002222-2-2-2-2-2-2000000-2-20000000022-200-2-2-2-2000000000022000000000-220000000
χ20222222-2-2222222002222-2-2-2-2-2-2000000-2-2000000002-220022-2-200000000002-20000000002-20000000
χ2122222-1222-12-1-1222-1-1-1-1-12-1200222-1-12-1-122-1-1-1-1-1-102222-1-100-1-12-1-1-120020-10-1-10000-1-1000000-100
χ2222222-1222-12-1-1222-1-1-1-1-12-1200222-1-12-1-122-1-1-1-1-1-10-2-2-2-21100-1-12-1-1-1-200-201011000011000000100
χ2322222-1222-12-1-1222-1-1-1-1-12-1200-222-1-1-2-1-1-2-2111111022-2-2-1-100-1-1-2111-20020-10-1-1000011000000100
χ2422222-1222-12-1-1222-1-1-1-1-12-1200-222-1-1-2-1-1-2-21111110-2-2221100-1-1-2111200-2010110000-1-1000000-100
χ2522222-1222-12-1-12-2-2-1-1-1-1-12-12002-2-211-2-1-1-2-2111111022-2-2-1-100112-1-1-1200-20-1011000011000000-100
χ2622222-1222-12-1-12-2-2-1-1-1-1-12-12002-2-211-2-1-1-2-21111110-2-2221100112-1-1-1-2002010-1-10000-1-1000000100
χ2722222-1222-12-1-12-2-2-1-1-1-1-12-1200-2-2-2112-1-122-1-1-1-1-1-102222-1-10011-2111-200-20-10110000-1-1000000100
χ2822222-1222-12-1-12-2-2-1-1-1-1-12-1200-2-2-2112-1-122-1-1-1-1-1-10-2-2-2-2110011-21112002010-1-1000011000000-100
χ292222-1222-12-122-122-1-1-1-12-12-1222-1-1222-1-1-1-122-1-1-1-12000000-1-1-1-1-12-1-10220-10200-1-1-1-1000000000-10
χ302222-1222-12-122-122-1-1-1-12-12-122-2-1-122-2-1-111-2-211112000000-1-1-1-11-21102-20-10-200-1-11100000000010
χ312222-1222-12-122-122-1-1-1-12-12-1-2-22-1-1222-1-1-1-122-1-1-1-1-200000011-1-1-12-1-10-2-2010-200111100000000010
χ322222-1222-12-122-122-1-1-1-12-12-1-2-2-2-1-122-2-1-111-2-21111-200000011-1-11-2110-2201020011-1-1000000000-10
χ332222-1222-12-122-1-2-2-1-1-1-12-12-122211-2-2-2-1-111-2-211112000000-1-111-12-1-10-220-10-2001111000000000-10
χ342222-1222-12-122-1-2-2-1-1-1-12-12-122-211-2-22-1-1-1-122-1-1-1-12000000-1-1111-2110-2-20-1020011-1-100000000010
χ352222-1222-12-122-1-2-2-1-1-1-12-12-1-2-2211-2-2-2-1-111-2-21111-20000001111-12-1-102-2010200-1-1-1-100000000010
χ362222-1222-12-122-1-2-2-1-1-1-12-12-1-2-2-211-2-22-1-1-1-122-1-1-1-1-200000011111-211022010-200-1-111000000000-10
χ372-2-2222-22-2-2-2-2222-22-22-2-2-2220002-22-202-2000000000000000002-20000000000000000000002-22-2000
χ382-2-2222-22-2-2-2-2222-22-22-2-2-2220002-22-202-2000000000000000002-2000000000000000000000-22-22000
χ392-2-2222-22-2-2-2-222-222-22-2-2-222000-22-2202-200000000000000000-220000000000000000000002-2-22000
χ402-2-2222-22-2-2-2-222-222-22-2-2-222000-22-2202-200000000000000000-22000000000000000000000-222-2000
χ4144444-2-4-44-24-2-2400-2-2-2-22-42-400000000220000000004-400220000000000000-2000000000000000000
χ4244444-2-4-44-24-2-2400-2-2-2-22-42-40000000022000000000-4400-2-200000000000002000000000000000000
χ434444-24-4-4-24-244-200-2-2-2-2-42-42440000002200000000-4000000-2-2000000000020000000000000000000
χ444444-24-4-4-24-244-200-2-2-2-2-42-42-4-400000022000000004000000220000000000-20000000000000000000
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
χ4944-4-4440044-4-4-4-40044-4-4000000000000000000000000022−220000000000000000000000022−22000000000
χ5044-4-4440044-4-4-4-40044-4-40000000000000000000000000−222200000000000000000000000−2222000000000
χ5144-4-44-2004-2-422-400-2-22200000000000000006−666−6−600022−2223−23000000000000000000000−22000000000
χ5244-4-44-2004-2-422-400-2-22200000000000000006−666−6−6000−2222−23230000000000000000000002−2000000000
χ5344-4-44-2004-2-422-400-2-2220000000000000000−66−6−66600022−22−2323000000000000000000000−22000000000
χ5444-4-44-2004-2-422-400-2-2220000000000000000−66−6−666000−222223−230000000000000000000002−2000000000
χ554-44-44400-4-444-4-4004-4-4400004i−4i000000000000000000000004i−4i000000000000000000000000000000
χ564-44-44400-4-444-4-4004-4-440000−4i4i00000000000000000000000−4i4i000000000000000000000000000000
χ574-44-4-24002-4-24-4200-222-200004i−4i00000000i6−i600i6−i6i6−i60000000−2i2i000000000000000006−600000000000
χ584-44-4-24002-4-24-4200-222-200004i−4i00000000−i6i600−i6i6−i6i60000000−2i2i00000000000000000−6600000000000
χ594-44-4-24002-4-24-4200-222-20000−4i4i00000000i6−i600i6−i6i6−i600000002i−2i00000000000000000−6600000000000
χ604-44-4-24002-4-24-4200-222-20000−4i4i00000000−i6i600−i6i6−i6i600000002i−2i000000000000000006−600000000000
χ614-4-44444-4-4-4-4-444004-44-444-4-400000000-4400000000000000000000000000000000000000000000000
χ624-4-444-24-4-42-42-2400-22-22-242-4000000002-2000000000000000000000000000000−2i32i3000000000000000
χ634-4-444-24-4-42-42-2400-22-22-242-4000000002-20000000000000000000000000000002i3−2i3000000000000000
χ644-4-444-2-44-42-42-244-4-22-222-4-240004-4-220-2200000000000000000-220000000000000000000000000000
χ654-4-444-2-44-42-42-24-44-22-222-4-24000-442-20-22000000000000000002-20000000000000000000000000000
χ664-4-44-244-42-42-44-200-22-224-2-42000000002-200000000000000000000000000000000−2i32i30000000000000
χ674-4-44-244-42-42-44-200-22-224-2-42000000002-2000000000000000000000000000000002i3−2i30000000000000
χ684-4-44-24-442-42-44-24-4-22-22-424-2000-224-40-2200000000000000000-220000000000000000000000000000
χ694-4-44-24-442-42-44-2-44-22-22-424-20002-2-440-22000000000000000002-20000000000000000000000000000
χ704-4-44-2-2-442222-2-24-41-11-122-2-2000-22-2201-100003i−3i−3i3i0000000001-1003i−3i000000000000000000000000
χ714-4-44-2-2-442222-2-24-41-11-122-2-2000-22-2201-10000−3i3i3i−3i0000000001-100−3i3i000000000000000000000000
χ724-4-44-2-2-442222-2-2-441-11-122-2-20002-22-201-100003i−3i−3i3i000000000-1100−3i3i000000000000000000000000
χ734-4-44-2-2-442222-2-2-441-11-122-2-20002-22-201-10000−3i3i3i−3i000000000-11003i−3i000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4800-484-8-8400-4-4440000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-4-444440022-2-2000000000000000026−26−6−666000000000000000000000000000000000000000
χ7788-8-8-4-400-4-444440022-2-20000000000000000−262666−6−6000000000000000000000000000000000000000
χ788-88-88-400-848-44-800-444-40000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-4-444002-2-22000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ808-88-8-4-40044-4-444002-2-2200000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ818-8-88-4-48-84444-4-4002-22-2-4-44400000000-2200000000000000000000000000000000000000000000000

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