Finite Group Databasebeta

← Group #11889271

Character table — Group #11889271

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order12223344666666344666121212124428121212121212242424242424242424488121212126666121244446812121212122424242422248812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1111111111-1-1111-111-1-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-11-111-111111-1-1-1-11-1-11-1-1-1-11
χ411111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111-1-1111-1-111-1-1-1-111-111-111-11-1
χ5111111111111111111111111-1-11111111111111111-1111111-1-1111111-111-1-1-11-1-111-1-111-1-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-111-1-11111-1-1-111-1111-1-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-11-1-11-1-1-1-1-111111-1-11-1-1111
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-111111111-1-11-11-11-11-1-1-1-1-1-1-1-11111-1-111-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1111111-1-111-1-11-1-1-1-111-1-111-1-1-1-1111-11
χ11111111111111111-1-1111111111-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-111-1-1-11111-1-1-111-1-1-1-111
χ13111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-11111-1-111-1-1-1-1-1-111-111
χ14111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11-11-11-1111111111111-1-1-1-1-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1111111-1-1-1-1-1-1-1-11-1-11-1-1111-1-1-1-111-111-1-1-11-11
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11-1-111111-1
χ17222222-2-2222222200222-2-2-2-222000000-2-200000000-22-200-2-2220000000000-20200000000200-200000
χ18222222-2-2222222200222-2-2-2-222000000-2-200000000-2-220022220000000000-20-200000000-200200000
χ19222222-2-2222222200222-2-2-2-2-2-2000000-2-20000000022-200-2-2-2-2000000000020200000000-200200000
χ20222222-2-2222222200222-2-2-2-2-2-2000000-2-2000000002-220022-2-2000000000020-200000000200-200000
χ2122222-1222-12-1-12-122-1-1-12-1-12222222-1-1-1-1-1-122-1-1-1-12000000-1-12-1-1-1-1-12002-120-1-100-1-100000000-100
χ2222222-1222-12-1-12-122-1-1-12-1-1222-2-222-1-1-1-111-2-211112000000-1-1-2111-1-1-2002-1-20-1-1001100000000100
χ2322222-1222-12-1-12-122-1-1-12-1-12-2-22222-1-1-1-1-1-122-1-1-1-1-2000000112-1-1-1-1-1-200-21-2011001100000000100
χ2422222-1222-12-1-12-122-1-1-12-1-12-2-2-2-222-1-1-1-111-2-21111-200000011-2111-1-1200-21201100-1-100000000-100
χ2522222-1222-12-1-12-1-2-2-1-1-12-1-12222-2-2-211-1-111-2-211112000000-1-12-1-1-111200-2-1-2011001100000000-100
χ2622222-1222-12-1-12-1-2-2-1-1-12-1-1222-22-2-211-1-1-1-122-1-1-1-12000000-1-1-211111-200-2-1201100-1-100000000100
χ2722222-1222-12-1-12-1-2-2-1-1-12-1-12-2-22-2-2-211-1-111-2-21111-2000000112-1-1-111-2002120-1-100-1-100000000100
χ2822222-1222-12-1-12-1-2-2-1-1-12-1-12-2-2-22-2-211-1-1-1-122-1-1-1-1-200000011-21111120021-20-1-1001100000000-100
χ292222-1222-12-122-1-122-1-1-1-122-10022-1-122-1-122-1-1-1-1-1-102222-1-100-12-1-1-1-1022000-100-1-100-1-10000000-10
χ302222-1222-12-122-1-122-1-1-1-122-10022-1-122-1-122-1-1-1-1-1-10-2-2-2-21100-12-1-1-1-10-2-2000100110011000000010
χ312222-1222-12-122-1-122-1-1-1-122-100-2-2-1-122-1-1-2-2111111022-2-2-1-1001-211-1-102-2000-100-1-10011000000010
χ322222-1222-12-122-1-122-1-1-1-122-100-2-2-1-122-1-1-2-21111110-2-22211001-211-1-10-220001001100-1-10000000-10
χ332222-1222-12-122-1-1-2-2-1-1-1-122-1002-211-2-2-1-1-2-2111111022-2-2-1-100-12-1-1110-22000-1001100110000000-10
χ342222-1222-12-122-1-1-2-2-1-1-1-122-1002-211-2-2-1-1-2-21111110-2-2221100-12-1-11102-2000100-1-100-1-1000000010
χ352222-1222-12-122-1-1-2-2-1-1-1-122-100-2211-2-2-1-122-1-1-1-1-1-102222-1-1001-211110-2-2000-1001100-1-1000000010
χ362222-1222-12-122-1-1-2-2-1-1-1-122-100-2211-2-2-1-122-1-1-1-1-1-10-2-2-2-211001-21111022000100-1-100110000000-10
χ372-22-2222-2-22-2-2-2222i−2i-22-22-22-200002i−2i2i−2i2-20000000000000000000002i−2i00000000000000002-202i−2i000
χ382-22-2222-2-22-2-2-2222i−2i-22-22-22-200002i−2i2i−2i2-20000000000000000000002i−2i0000000000000000-220−2i2i000
χ392-22-2222-2-22-2-2-222−2i2i-22-22-22-20000−2i2i−2i2i2-2000000000000000000000−2i2i00000000000000002-20−2i2i000
χ402-22-2222-2-22-2-2-222−2i2i-22-22-22-20000−2i2i−2i2i2-2000000000000000000000−2i2i0000000000000000-2202i−2i000
χ4144444-2-4-44-24-2-24-200-2-2-2-422-4440000002200000000-4000000-2-2000000000020000000000000000000
χ4244444-2-4-44-24-2-24-200-2-2-2-422-4-4-400000022000000004000000220000000000-20000000000000000000
χ434444-24-4-4-24-244-2-200-2-2-22-4-4200000000220000000004-4002200000000000000-200000000000000000
χ444444-24-4-4-24-244-2-200-2-2-22-4-420000000022000000000-4400-2-200000000000000200000000000000000
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
χ4944-4-44400-4-44-44-4400-4-440000000000000000000000000−2i22i200000000000000000000000−2i22i2000000000
χ5044-4-44400-4-44-44-4400-4-4400000000000000000000000002i2−2i2000000000000000000000002i2−2i2000000000
χ5144-4-4-24002-4-2-442-20022-20000000000000000i6−i6i6i6−i6−i6000−2i22i223−23000000000000000000000i2−i2000000000
χ5244-4-4-24002-4-2-442-20022-20000000000000000i6−i6i6i6−i6−i60002i2−2i2−2323000000000000000000000−i2i2000000000
χ5344-4-4-24002-4-2-442-20022-20000000000000000−i6i6−i6−i6i6i6000−2i22i2−2323000000000000000000000i2−i2000000000
χ5444-4-4-24002-4-2-442-20022-20000000000000000−i6i6−i6−i6i6i60002i2−2i223−23000000000000000000000−i2i2000000000
χ554-44-444-44-44-4-4-44400-44-4-44-4400000000-4400000000000000000000000000000000000000000000000
χ564-44-44-24-4-4-2-4224-24i−4i2-2242-2-400004i−4i−2i2i-22000000000000000000000−2i2i000000000000000000000000
χ574-44-44-24-4-4-2-4224-2−4i4i2-2242-2-40000−4i4i2i−2i-220000000000000000000002i−2i000000000000000000000000
χ584-44-44-2-44-4-2-4224-2002-22-4-224000000002-200000000000000000000000000000023−23000000000000000
χ594-44-44-2-44-4-2-4224-2002-22-4-224000000002-2000000000000000000000000000000−2323000000000000000
χ604-44-4-244-4242-4-4-2-24i−4i2-22-2-4420000−2i2i4i−4i-22000000000000000000000−2i2i000000000000000000000000
χ614-44-4-244-4242-4-4-2-2−4i4i2-22-2-44200002i−2i−4i4i-220000000000000000000002i−2i000000000000000000000000
χ624-44-4-24-44242-4-4-2-2002-2224-4-2000000002-200000000000000000000000000000000−2i32i30000000000000
χ634-44-4-24-44242-4-4-2-2002-2224-4-2000000002-2000000000000000000000000000000002i3−2i30000000000000
χ644-44-4-2-24-42-2222-214i−4i-11-1-22-220000−2i2i−2i2i1-100003i−3i3i−3i000000000003-3i−i000000000000000000000000
χ654-44-4-2-24-42-2222-214i−4i-11-1-22-220000−2i2i−2i2i1-10000−3i3i−3i3i00000000000-33i−i000000000000000000000000
χ664-44-4-2-24-42-2222-21−4i4i-11-1-22-2200002i−2i2i−2i1-100003i−3i3i−3i00000000000-33−ii000000000000000000000000
χ674-44-4-2-24-42-2222-21−4i4i-11-1-22-2200002i−2i2i−2i1-10000−3i3i−3i3i000000000003-3−ii000000000000000000000000
χ684-4-4444004-4-44-4-44004-4-400004i−4i000000000000000000000004i−4i000000000000000000000000000000
χ694-4-4444004-4-44-4-44004-4-40000−4i4i00000000000000000000000−4i4i000000000000000000000000000000
χ704-4-444-20042-4-22-4-200-22200004i−4i000000006−6006−6−660000000−2i2i00000000000000000i6−i600000000000
χ714-4-444-20042-4-22-4-200-22200004i−4i00000000−6600−666−60000000−2i2i00000000000000000−i6i600000000000
χ724-4-444-20042-4-22-4-200-2220000−4i4i000000006−6006−6−6600000002i−2i00000000000000000−i6i600000000000
χ734-4-444-20042-4-22-4-200-2220000−4i4i00000000−6600−666−600000002i−2i00000000000000000i6−i600000000000
χ748888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-88-400-8484-4-8-40044-40000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-40044-44-44200-2-2200000000000000002i6−2i6−i6−i6i6i6000000000000000000000000000000000000000
χ7788-8-8-4-40044-44-44200-2-220000000000000000−2i62i6i6i6−i6−i6000000000000000000000000000000000000000
χ788-88-8-4-4-884-4444-4200-22-24-44-400000000-2200000000000000000000000000000000000000000000000
χ798-8-88-4800-4-848-84-400-4440000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400-444-4442002-2-20000000000000026−2600−666−6000000000000000000000000000000000000000
χ818-8-88-4-400-444-4442002-2-200000000000000−2626006−6−66000000000000000000000000000000000000000

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