Finite Group Databasebeta

← Group #11884795

Character table — Group #11884795

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444444888888888881212121212121616161616161616181824242424242424242424242424242424243636363636484872
order12223344666666234666661212121244666121212121212448888121212121212121222444881212121224242424242424244444412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111111-1-1-11-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111111-1-11-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-111-1
χ41111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111111111-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-111-1-1-11
χ611111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1111-1
χ711111111111111111111111111-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111111111-1-11-1-1-1
χ811111111111111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-111-1111
χ911111111111111-11-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-11-1-11-111-1-111-1-111-1-11111-11-1-1
χ1011111111111111-11-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111111-1-111-1-1-1-111-1-1-1-11-111
χ1111111111111111-11-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-111-11
χ1211111111111111-11-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-111-11-1-111-1-111-1-1111111-1-11-1
χ1311111111111111-11-1-1-11111111-11-1-1-1-1-111-1-1111111-1-111-1-11111-1-11-1-111-1-1-1-11111-1-1-1-1111-11-1
χ1411111111111111-11-1-1-11111111-11-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-1-1-1111-1-1-1-111-1-11111-1-1-11-11
χ1511111111111111-11-1-1-11111111-11-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1111-1-1-11111-1-111-1-111-1-1-1-111
χ1611111111111111-11-1-1-11111111-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1-11111-1-1-1-111-1-11111-1-1
χ17222222-2-222222222-222222-2-2-2-200222-2-2-2-2-2-20000000000000022000000000000000002-200-2000
χ18222222-2-222222222-222222-2-2-2-200222-2-2-2-2-2-200000000000000-2-200000000000000000-22002000
χ19222222-2-2222222-222-2-2222-2-2-2-200-2-2-222-2-222000000000000002200000000000000000-2200-2000
χ20222222-2-2222222-222-2-2222-2-2-2-200-2-2-222-2-22200000000000000-2-2000000000000000002-2002000
χ2122222-12222-1-1-122-1222-1-1-1-122-122-1-1-1-12-1-1-1-10000222-1-12-1-1-1-1002020200000000-1-1-1-100000-1-10
χ2222222-12222-1-1-122-1222-1-1-1-122-122-1-1-1-12-1-1-1-10000-2-22-1-12-1-1-1-100-20-20-200000000111100000110
χ2322222-12222-1-1-122-1222-1-1-1-122-1-2-2-1-1-1-12-1-1-1-1000022-211-2111100-20-20200000000-1-1-1-100000110
χ2422222-12222-1-1-122-1222-1-1-1-122-1-2-2-1-1-1-12-1-1-1-10000-2-2-211-21111002020-200000000111100000-1-10
χ2522222-12222-1-1-12-2-1-2-2-2-1-1-1-122-12-21111-2-1-1110000222-11-2-1-1110020-20-200000000-1-11100000-110
χ2622222-12222-1-1-12-2-1-2-2-2-1-1-1-122-12-21111-2-1-1110000-2-22-11-2-1-11100-202020000000011-1-1000001-10
χ2722222-12222-1-1-12-2-1-2-2-2-1-1-1-122-1-221111-2-1-111000022-21-1211-1-100-2020-200000000-1-111000001-10
χ2822222-12222-1-1-12-2-1-2-2-2-1-1-1-122-1-221111-2-1-1110000-2-2-21-1211-1-10020-2020000000011-1-100000-110
χ292222-1222-1-1222-12-12-1-1-1-1-12-1-12222-1-12-1-1-1-1-1222200-122-1-1-1-1-10002020-1-1-1-1-1-1-1-1000000000000
χ302222-1222-1-1222-12-12-1-1-1-1-12-1-12222-1-12-1-1-1-1-1-2-2-2-200-122-1-1-1-1-1000-20-2011111111000000000000
χ312222-1222-1-1222-12-12-1-1-1-1-12-1-12-2-22-1-12-1-1-1-1-122-2-2001-2-21111100020-20-1-1-1-11111000000000000
χ322222-1222-1-1222-12-12-1-1-1-1-12-1-12-2-22-1-12-1-1-1-1-1-2-222001-2-211111000-20201111-1-1-1-1000000000000
χ332222-1222-1-1222-1-2-1-211-1-1-12-1-122-2-211-21-1-11122-2-200-12-21-1-111000-2020-1-111-1-111000000000000
χ342222-1222-1-1222-1-2-1-211-1-1-12-1-122-2-211-21-1-111-2-22200-12-21-1-11100020-2011-1-111-1-1000000000000
χ352222-1222-1-1222-1-2-1-211-1-1-12-1-12-22-211-21-1-1112222001-22-111-1-1000-20-20-1-11111-1-1000000000000
χ362222-1222-1-1222-1-2-1-211-1-1-12-1-12-22-211-21-1-111-2-2-2-2001-22-111-1-1000202011-1-1-1-111000000000000
χ372-2-2222-22-2-2-2-22202000-2-22-22-2200000002-2002-2002-20000000000000002-20000002-200002-20000
χ382-2-2222-22-2-2-2-22202000-2-22-22-2200000002-2002-200-220000000000000002-2000000-220000-220000
χ392-2-2222-22-2-2-2-22202000-2-22-22-2200000002-200-22002-2000000000000000-220000002-20000-220000
χ402-2-2222-22-2-2-2-22202000-2-22-22-2200000002-200-2200-22000000000000000-22000000-2200002-20000
χ4144444-2-4-444-2-2-244-2-444-2-2-22-4-4200-2-2-22-4222200000000000000000000000000000000000000000
χ4244444-2-4-444-2-2-24-4-24-4-4-2-2-22-4-4200222-2422-2-200000000000000000000000000000000000000000
χ434444-24-4-4-2-2444-24-2-4-2-2-2-2-2-422-4004-2-2-42222200000000000000000000000000000000000000000
χ444444-24-4-4-2-2444-2-4-2422-2-2-2-422-400-4224-222-2-200000000000000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-244-211-2-21111000000-2-2-2-21111000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-4-4-211-2-211110000002222-1-1-1-1000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-41-422111-2-2-2-24-42-1-12211-1-1000000-2-22211-1-1000000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-41-422111-2-2-2-2-442-1-12211-1-100000022-2-2-1-111000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-241-4-2-2111222200-21122-1-1-1-100000000003-33-3000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-241-4-2-2111222200-21122-1-1-1-10000000000-33-33000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-2-414221112222002-1-1-2-2-1-11100000000003-3-33000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-2-414221112222002-1-1-2-2-1-1110000000000-333-3000000000000000000000000000
χ5344-4-44400-444-4-4-404000-44-4000000000000000000000000000004-40000000000000000000000000
χ5444-4-44400-444-4-4-404000-44-400000000000000000000000000000-440000000000000000000000000
χ554-44-444004-4-44-4-4040004-4-40000000000000000022−220000000000000000000000022−22000000000000
χ564-44-444004-4-44-4-4040004-4-400000000000000000−222200000000000000000000000−2222000000000000
χ574-44-4-2400-22-44-420-20−2i32i3-2220000000−2i32i30000000022−22000000000000000000000i6−i6−22000000000000
χ584-44-4-2400-22-44-420-20−2i32i3-2220000000−2i32i300000000−2222000000000000000000000−i6i62−2000000000000
χ594-44-4-2400-22-44-420-202i3−2i3-22200000002i3−2i30000000022−22000000000000000000000−i6i6−22000000000000
χ604-44-4-2400-22-44-420-202i3−2i3-22200000002i3−2i300000000−2222000000000000000000000i6−i62−2000000000000
χ614-4-44444-4-4-4-4-44404000-4-444-44-40000000-440000000000000000000000000000000000000000000
χ624-4-444-24-4-4-422-240-200022-2-2-44200000002-200000000000000000000000000000000023−2300000000
χ634-4-444-24-4-4-422-240-200022-2-2-44200000002-2000000000000000000000000000000000−232300000000
χ644-4-444-2-44-4-422-240-200022-224-4-20000000-220000004-400000000000000000000000-220000000000
χ654-4-444-2-44-4-422-240-200022-224-4-20000000-22000000-44000000000000000000000002-20000000000
χ664-4-44-244-422-4-44-20-200022-242-2-400000002-20000000000000000000000000−2i32i30000000000000000
χ674-4-44-244-422-4-44-20-200022-242-2-400000002-200000000000000000000000002i3−2i30000000000000000
χ684-4-44-24-4422-4-44-20-200022-2-4-2240000000-22004-40000000000000000000-22000000000000000000
χ694-4-44-24-4422-4-44-20-200022-2-4-2240000000-2200-4400000000000000000002-2000000000000000000
χ7088-8-88-400-88-444-80-40004-4400000000000000000000000000000000000000000000000000000000
χ7188-8-8-48004-48-8-840-40004-4400000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-4004-4-444402000-22-200000000000006i−6i00000000000000000000000000000000000000000
χ7388-8-8-4-4004-4-444402000-22-20000000000000−6i6i00000000000000000000000000000000000000000
χ748-88-88-4008-84-44-80-4000-44400000000000000000000000000000000000000000000000000000000
χ758-88-8-4-400-444-444020−4i34i32-2-200000002i3−2i300000000000000000000000000000000000000000000000
χ768-88-8-4-400-444-4440204i3−4i32-2-20000000−2i32i300000000000000000000000000000000000000000000000
χ778-8-88-4-48-84444-4-402000-2-22-44-440000000-220000000000000000000000000000000000000000000
χ788-8-88-4-4-884444-4-402000-2-224-44-400000002-20000000000000000000000000000000000000000000

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