Finite Group Databasebeta

← Group #11884404

Character table — Group #11884404

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order122233446666663446661212121244481212121212122424242424242424224881212121212121212121222246666668242424242244886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111-11-1111111-1-1-1-1-1-1-111-1-1-1-11
χ411111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111-1-11-1-1-1111-1-1-11111-1-111-11-1
χ5111111111111111111111111-1-11111111111111111-11111-1-111111111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-111-1111-1-1-1111-1-111-1-1111-1-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-111111-1-111-1-1111
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-111111111-1-1-11-111-1-11-1-1-1-1-1-1-11111-1-111-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-111-1-1111-1-1-1-1-111-1-1-1-1111-11
χ11111111111111111-1-1111111111-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111111-1-11111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1111-1-1111-1-111-1-1-1-1-111
χ13111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11-1-111-1-1-111111-1-1-1-1-1-111-111
χ14111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-11-1-111-111111111111-1-1-1-1-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-11111111111-11111-1-111-1-1-1-1-1-111-1-11-1-1-111-1-1-11111-1-1-1-11-11
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-1-1111111-1
χ17222222-2-2222222200222-2-2-2-222000000-2-200000000-22-20022-2-20000000000200-2000000000-2200000
χ18222222-2-2222222200222-2-2-2-222000000-2-200000000-2-220022220000000000-200-20000000002-200000
χ19222222-2-2222222200222-2-2-2-2-2-2000000-2-20000000022-200-2-2-2-2000000000020020000000002-200000
χ20222222-2-2222222200222-2-2-2-2-2-2000000-2-2000000002-2200-2-2220000000000-2002000000000-2200000
χ2122222-1222-12-1-12-122-1-1-1-12-122222-1-122-1-122-1-1-1-1-1-120000-1-1002-1-1-1-1-12200000-1-1-12-1-100000000-100
χ2222222-1222-12-1-12-122-1-1-1-12-1222-2-2-1-122-1-1-2-211111120000-1-100-2111-1-12-200000-1-1-1-21100000000100
χ2322222-1222-12-1-12-122-1-1-1-12-12-2-222-1-122-1-122-1-1-1-1-1-1-2000011002-1-1-1-1-1-2-200000111-21100000000100
χ2422222-1222-12-1-12-122-1-1-1-12-12-2-2-2-2-1-122-1-1-2-2111111-200001100-2111-1-1-22000001112-1-100000000-100
χ2522222-1222-12-1-12-1-2-2-1-1-1-12-12222-211-2-2-1-1-2-211111120000-1-1002-1-1-111-2200000-111-21100000000-100
χ2622222-1222-12-1-12-1-2-2-1-1-1-12-1222-2211-2-2-1-122-1-1-1-1-1-120000-1-100-211111-2-200000-1112-1-100000000100
χ2722222-1222-12-1-12-1-2-2-1-1-1-12-12-2-22-211-2-2-1-1-2-2111111-2000011002-1-1-1112-2000001-1-12-1-100000000100
χ2822222-1222-12-1-12-1-2-2-1-1-1-12-12-2-2-2211-2-2-1-122-1-1-1-1-1-1-200001100-21111122000001-1-1-21100000000-100
χ292222-1222-12-122-1-122-1-1-12-12-1002222-1-1-1-1-1-122-1-1-1-10222200-1-1-12-1-1-1-10022-1-1-1000000-1-10000000-10
χ302222-1222-12-122-1-122-1-1-12-12-1002222-1-1-1-1-1-122-1-1-1-10-2-2-2-20011-12-1-1-1-100-2-211100000011000000010
χ312222-1222-12-122-1-122-1-1-12-12-100-2-222-1-1-1-111-2-21111022-2-200-1-11-211-1-1002-2-1-1-100000011000000010
χ322222-1222-12-122-1-122-1-1-12-12-100-2-222-1-1-1-111-2-211110-2-22200111-211-1-100-22111000000-1-10000000-10
χ332222-1222-12-122-1-1-2-2-1-1-12-12-1002-2-2-211-1-111-2-21111022-2-200-1-1-12-1-11100-22-111000000110000000-10
χ342222-1222-12-122-1-1-2-2-1-1-12-12-1002-2-2-211-1-111-2-211110-2-2220011-12-1-111002-21-1-1000000-1-1000000010
χ352222-1222-12-122-1-1-2-2-1-1-12-12-100-22-2-211-1-1-1-122-1-1-1-10222200-1-11-2111100-2-2-111000000-1-1000000010
χ362222-1222-12-122-1-1-2-2-1-1-12-12-100-22-2-211-1-1-1-122-1-1-1-10-2-2-2-200111-2111100221-1-1000000110000000-10
χ372-22-222-22-2-2-2-22222-2-2-22-2-22200002-22-22-20000000000000000000002-20000000000000002-2002-2000
χ382-22-222-22-2-2-2-22222-2-2-22-2-22200002-22-22-20000000000000000000002-2000000000000000-2200-22000
χ392-22-222-22-2-2-2-2222-22-2-22-2-2220000-22-222-2000000000000000000000-220000000000000002-200-22000
χ402-22-222-22-2-2-2-2222-22-2-22-2-2220000-22-222-2000000000000000000000-22000000000000000-22002-2000
χ4144444-2-4-44-24-2-24-200-2-2-22-42-4440000002200000000-40000-2-200000000000000020000000000000000
χ4244444-2-4-44-24-2-24-200-2-2-22-42-4-4-400000022000000004000022000000000000000-20000000000000000
χ434444-24-4-4-24-244-2-200-2-2-2-42-4200000000220000000004-40000220000000000-20000000000000000000
χ444444-24-4-4-24-244-2-200-2-2-2-42-420000000022000000000-440000-2-2000000000020000000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-211-2-2-2-21111000000000-2-21111000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-2112222-1-1-1-100000000022-1-111000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222112222-1-1-1-1000000000-2-211-1-1000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-44222211-2-2-2-2111100000000022-1-1-1-1000000000000000000000000
χ4944-4-4440044-4-4-4-44004-4-400004i−4i0000000000000000000004i−4i00000000000000000000000000000000
χ5044-4-4440044-4-4-4-44004-4-40000−4i4i000000000000000000000−4i4i00000000000000000000000000000000
χ5144-4-44-2004-2-422-4-200-22200004i−4i0000000000i6−i6i6i6−i6−i600000−2i2i00000000000000000006−600000000000
χ5244-4-44-2004-2-422-4-200-22200004i−4i0000000000−i6i6−i6−i6i6i600000−2i2i0000000000000000000−6600000000000
χ5344-4-44-2004-2-422-4-200-2220000−4i4i0000000000i6−i6i6i6−i6−i6000002i−2i0000000000000000000−6600000000000
χ5444-4-44-2004-2-422-4-200-2220000−4i4i0000000000−i6i6−i6−i6i6i6000002i−2i00000000000000000006−600000000000
χ554-44-4444-4-4-4-4-444400-4-4444-4-400000000-4400000000000000000000000000000000000000000000000
χ564-44-44-24-4-42-42-24-20022-2-242-4000000002-20000000000000000000000000000000−2i32i300000000000000
χ574-44-44-24-4-42-42-24-20022-2-242-4000000002-200000000000000000000000000000002i3−2i300000000000000
χ584-44-44-2-44-42-42-24-24-422-22-4-240000-224-4-22000000000000000000000-22000000000000000000000000
χ594-44-44-2-44-42-42-24-2-4422-22-4-2400002-2-44-220000000000000000000002-2000000000000000000000000
χ604-44-4-244-42-42-44-2-20022-24-2-42000000002-20000000000000000000000000000−2i32i300000000000000000
χ614-44-4-244-42-42-44-2-20022-24-2-42000000002-200000000000000000000000000002i3−2i300000000000000000
χ624-44-4-24-442-42-44-2-24-422-2-424-200004-4-22-22000000000000000000000-22000000000000000000000000
χ634-44-4-24-442-42-44-2-2-4422-2-424-20000-442-2-220000000000000000000002-2000000000000000000000000
χ644-44-4-2-2-442222-2-214-4-1-1122-2-20000-22-221-100003i−3i3i−3i000000000003i−3i1-1000000000000000000000000
χ654-44-4-2-2-442222-2-214-4-1-1122-2-20000-22-221-10000−3i3i−3i3i00000000000−3i3i1-1000000000000000000000000
χ664-44-4-2-2-442222-2-21-44-1-1122-2-200002-22-21-100003i−3i3i−3i00000000000−3i3i-11000000000000000000000000
χ674-44-4-2-2-442222-2-21-44-1-1122-2-200002-22-21-10000−3i3i−3i3i000000000003i−3i-11000000000000000000000000
χ684-4-444400-4-444-4-4400-44-4000000000000000000000000022−220000000000000000000000022−22000000000
χ694-4-444400-4-444-4-4400-44-40000000000000000000000000−222200000000000000000000000−2222000000000
χ704-4-44-24002-4-24-42-2002-22000000000000006−6006−6−6600022−220023−230000000000000000000−22000000000
χ714-4-44-24002-4-24-42-2002-22000000000000006−6006−6−66000−222200−232300000000000000000002−2000000000
χ724-4-44-24002-4-24-42-2002-2200000000000000−6600−666−600022−2200−23230000000000000000000−22000000000
χ734-4-44-24002-4-24-42-2002-2200000000000000−6600−666−6000−22220023−2300000000000000000002−2000000000
χ748888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4800-484-8-84-400-4440000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-4-444442002-2-200000000000000002i6−2i6−i6−i6i6i6000000000000000000000000000000000000000
χ7788-8-8-4-400-4-444442002-2-20000000000000000−2i62i6i6i6−i6−i6000000000000000000000000000000000000000
χ788-88-8-4-48-84444-4-4200-2-22-4-44400000000-2200000000000000000000000000000000000000000000000
χ798-8-888-400-848-44-8-4004-440000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-4-444200-22-20000000000000026−2600−666−6000000000000000000000000000000000000000
χ818-8-88-4-40044-4-444200-22-200000000000000−2626006−6−66000000000000000000000000000000000000000

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