Finite Group Databasebeta

← Group #11878439

Character table — Group #11878439

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444444444488888888888888888888888812121212242424242424242424242424242436363636484848487272
order12223344666666234666666666661212121244121212121212121212121212121212121212121212128888444488242424242424242422441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-11-11-11-11111-1-1-1-1-1-1-1-11-11-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-111-11-11-11-1-1-1-11111-1-1-1-1-11-11-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1
χ611111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-111-11111-1-1-1-1-1-1-1-1-11-1111
χ711111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11-1-11-1-1-1-11111-1-1-1-11-11-111
χ811111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111-11-1-1-1-1-111-1-1-1-1111111-1-1-11111-1-1-1-111-1-11111-1-1-1-111111-1-11-1-111-1-111-1-11-11-11-1-111-1
χ1011111111111111-11-1-1-1-1-111-1-1-1-1111111-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1111-1-1-1-111-11-1111-1-1-11
χ1111111111111111-11-1-1-1-1-111-1-1-1-1111111-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-11-11-1-111-11
χ1211111111111111-11-1-1-1-1-111-1-1-1-1111111-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-111-1-111-1-1111-11-1-111-11-1
χ1311111111111111-11-1-1-1-1-111-1-1-1-111111-11-1-1-1-1-1-1111111-1-1-1-1-1-111111111-111-1-1-111-1-111-1-11-11-1-111-1-11
χ1411111111111111-11-1-1-1-1-111-1-1-1-111111-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1111-1-1-1-111-11-11-1-1111-1
χ1511111111111111-11-1-1-1-1-111-1-1-1-111111-11-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-11-1-1-11111-1-1-11-1111-1-11-1
χ1611111111111111-11-1-1-1-1-111-1-1-1-111111-11-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1111-11-11-1-11-11
χ17222222-2-222222222-222222222222-2-2-2-200-2-200000000-2-2-2-2000000000000000000000000002-2-22000000
χ18222222-2-222222222-222222222222-2-2-2-200-2-200000000-2-2-2-200000000000000000000000000-222-2000000
χ19222222-2-2222222-222-2-2-2-222-2-2-2-22-2-2-2-2002200000000-2-2220000000000000000000000000022-2-2000000
χ20222222-2-2222222-222-2-2-2-222-2-2-2-22-2-2-2-2002200000000-2-22200000000000000000000000000-2-222000000
χ2122222-1222-12-12-12-1222-1-1-1-1-1-1-1-1-122-1-1222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100220202020000-1-1-1-100000-10-100
χ2222222-1222-12-12-12-1222-1-1-1-1-1-1-1-1-122-1-1222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20-20-20-2000011110000010100
χ2322222-1222-12-12-12-1222-1-1-1-1-1-1-1-1-122-1-1-2-22-1-2-211-2-211-1-1-1-11111111100220-20-2020000-1-1-1-10000010100
χ2422222-1222-12-12-12-1222-1-1-1-1-1-1-1-1-122-1-1-2-22-1-2-211-2-211-1-1-1-11111111100-2-202020-20000111100000-10-100
χ2522222-1222-12-12-1-2-1-2-2-211-1-11111-122-1-12-2-2122-1-1-2-211-1-111-1-1-1-1111100220-2020-20000-1-1110000010-100
χ2622222-1222-12-12-1-2-1-2-2-211-1-11111-122-1-12-2-2122-1-1-2-211-1-111-1-1-1-1111100-2-2020-202000011-1-100000-10100
χ2722222-1222-12-12-1-2-1-2-2-211-1-11111-122-1-1-22-21-2-21122-1-1-1-1111111-1-1-1-10022020-20-20000-1-11100000-10100
χ2822222-1222-12-12-1-2-1-2-2-211-1-11111-122-1-1-22-21-2-21122-1-1-1-1111111-1-1-1-100-2-20-20202000011-1-10000010-100
χ292222-1222-12-12-122-12-1-122-1-1-1-1-1-1-1-1-12222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12200202020-1-1-1-100000000-10-1000
χ302222-1222-12-12-122-12-1-122-1-1-1-1-1-1-1-1-12222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-20-20-20111100000000101000
χ312222-1222-12-12-122-12-1-122-1-1-1-1-1-1-1-1-122-2-2-1211-2-211-2-2-1-1-1-1111111112200-20-2020-1-1-1-100000000101000
χ322222-1222-12-12-122-12-1-122-1-1-1-1-1-1-1-1-122-2-2-1211-2-211-2-2-1-1-1-111111111-2-2002020-20111100000000-10-1000
χ332222-1222-12-12-12-2-1-211-2-2-1-11111-1-1-1222-21-2-1-12211-2-2-1-111-1-1-1-11111220020-20-20-1-11100000000-101000
χ342222-1222-12-12-12-2-1-211-2-2-1-11111-1-1-1222-21-2-1-12211-2-2-1-111-1-1-1-11111-2-200-20202011-1-10000000010-1000
χ352222-1222-12-12-12-2-1-211-2-2-1-11111-1-1-122-221-211-2-2-1-122-1-1111111-1-1-1-12200-2020-20-1-1110000000010-1000
χ362222-1222-12-12-12-2-1-211-2-2-1-11111-1-1-122-221-211-2-2-1-122-1-1111111-1-1-1-1-2-20020-202011-1-100000000-101000
χ3744444-2-4-44-24-24-24-2-444-2-2-2-2-2-2-2-2-2-4-42200-42000000002222000000000000000000000000000000000000
χ3844444-2-4-44-24-24-2-4-24-4-422-2-22222-2-4-422004-20000000022-2-2000000000000000000000000000000000000
χ394444-24-4-4-24-24-244-2-4-2-244-2-2-2-2-2-2-222-4-4002-4000000002222000000000000000000000000000000000000
χ404444-24-4-4-24-24-24-4-2422-4-4-2-22222-222-4-400-240000000022-2-2000000000000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2414-2-2-2-21111111-2-2-2-244-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000
χ424444-2-244-2-2-2-2-2-2414-2-2-2-21111111-2-2-2-2-4-4-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000
χ434444-2-244-2-2-2-2-2-2-41-4222211-1-1-1-11-2-2-2-24-422-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000
χ444444-2-244-2-2-2-2-2-2-41-4222211-1-1-1-11-2-2-2-2-44222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000
χ454444-2-2-4-4-2-2-2-2-2-241-4-2-2-2-211111112222002200000000-1-1-1-133-3-333-3-30000000000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-241-4-2-2-2-211111112222002200000000-1-1-1-1-3-333-3-3330000000000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-2-414222211-1-1-1-11222200-2-200000000-1-11133-3-3-3-3330000000000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-414222211-1-1-1-11222200-2-200000000-1-111-3-33333-3-30000000000000000000000000000
χ4944-4-444004-4-44-4-404000004-40000-4000000000000000000000000000022−220000000022−220000000000000000
χ5044-4-444004-4-44-4-404000004-40000-40000000000000000000000000000−222200000000−22220000000000000000
χ5144-4-4-2400-2-4242-40-20−2i32i300-22−2i3−2i32i32i32000000000000000000000000000022−2200000000−22i6−i600000000000000
χ5244-4-4-2400-2-4242-40-20−2i32i300-22−2i3−2i32i32i320000000000000000000000000000−2222000000002−2−i6i600000000000000
χ5344-4-4-2400-2-4242-40-202i3−2i300-222i32i3−2i3−2i32000000000000000000000000000022−2200000000−22−i6i600000000000000
χ5444-4-4-2400-2-4242-40-202i3−2i300-222i32i3−2i3−2i320000000000000000000000000000−2222000000002−2i6−i600000000000000
χ554-44-44400-444-4-4-40400000-440000-400000000000000000000000000000022−22000000000022−22000000000000
χ564-44-44400-444-4-4-40400000-440000-4000000000000000000000000000000−22220000000000−2222000000000000
χ574-44-44-200-4-242-420-2000−2i32i32-2−2i32i3−2i32i3200000000000000000000000000000022−220000000000−22i6−i60000000000
χ584-44-44-200-4-242-420-2000−2i32i32-2−2i32i3−2i32i32000000000000000000000000000000−222200000000002−2−i6i60000000000
χ594-44-44-200-4-242-420-20002i3−2i32-22i3−2i32i3−2i3200000000000000000000000000000022−220000000000−22−i6i60000000000
χ604-44-44-200-4-242-420-20002i3−2i32-22i3−2i32i3−2i32000000000000000000000000000000−222200000000002−2i6−i60000000000
χ614-4-44444-4-4-4-4-4440400000-4-4000044-44-40000000000004-400000000000000000000000000000000000000
χ624-4-4444-44-4-4-4-4440400000-4-400004-44-44000000000000-4400000000000000000000000000000000000000
χ634-4-444-24-4-42-424-20-200000220000-24-4-22000000−2i32i30000-2200−2i32i3−2i32i300000000000000000000000000000000
χ644-4-444-24-4-42-424-20-200000220000-24-4-220000002i3−2i30000-22002i3−2i32i3−2i300000000000000000000000000000000
χ654-4-444-2-44-42-424-20-200000220000-2-442-20000000000−2i32i32-2000000−2i32i3−2i32i30000000000000000000000000000
χ664-4-444-2-44-42-424-20-200000220000-2-442-200000000002i3−2i32-20000002i3−2i32i3−2i30000000000000000000000000000
χ674-4-44-244-42-42-4-240-200000220000-2-224-400000000−2i32i300-22000000−2i32i32i3−2i30000000000000000000000000000
χ684-4-44-244-42-42-4-240-200000220000-2-224-4000000002i3−2i300-220000002i3−2i3−2i32i30000000000000000000000000000
χ694-4-44-24-442-42-4-240-200000220000-22-2-440000−2i32i30000002-200−2i32i32i3−2i300000000000000000000000000000000
χ704-4-44-24-442-42-4-240-200000220000-22-2-4400002i3−2i30000002-2002i3−2i3−2i32i300000000000000000000000000000000
χ714-4-44-2-24-42222-2-20100000-1-13-3-331-22-22000000−2i32i3−2i32i3001-13-3i3−i3i3−i3i3−i3−i3i30000000000000000000000000000
χ724-4-44-2-24-42222-2-20100000-1-13-3-331-22-220000002i3−2i32i3−2i3001-13-3−i3i3−i3i3−i3i3i3−i30000000000000000000000000000
χ734-4-44-2-24-42222-2-20100000-1-1-333-31-22-22000000−2i32i32i3−2i3001-1-33i3−i3i3−i3−i3i3i3−i30000000000000000000000000000
χ744-4-44-2-24-42222-2-20100000-1-1-333-31-22-220000002i3−2i3−2i32i3001-1-33−i3i3−i3i3i3−i3−i3i30000000000000000000000000000
χ754-4-44-2-2-442222-2-20100000-1-13-3-3312-22-20000−2i32i30000−2i32i3-11-33i3−i3−i3i3i3−i3i3−i30000000000000000000000000000
χ764-4-44-2-2-442222-2-20100000-1-13-3-3312-22-200002i3−2i300002i3−2i3-11-33−i3i3i3−i3−i3i3−i3i30000000000000000000000000000
χ774-4-44-2-2-442222-2-20100000-1-1-333-312-22-20000−2i32i300002i3−2i3-113-3i3−i3−i3i3−i3i3−i3i30000000000000000000000000000
χ784-4-44-2-2-442222-2-20100000-1-1-333-312-22-200002i3−2i30000−2i32i3-113-3−i3i3i3−i3i3−i3i3−i30000000000000000000000000000
χ7988-8-88-40084-8-4-840-400000-440000400000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400-444-444020−4i34i3002-22i32i3−2i3−2i3-200000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-444-4440204i3−4i3002-2−2i3−2i32i32i3-200000000000000000000000000000000000000000000000000000000
χ828-88-8-480048-4-84-80-4000004-40000400000000000000000000000000000000000000000000000000000000
χ838-88-8-4-4004-4-444402000−4i34i3-222i3−2i32i3−2i3-200000000000000000000000000000000000000000000000000000000
χ848-88-8-4-4004-4-4444020004i3−4i3-22−2i32i3−2i32i3-200000000000000000000000000000000000000000000000000000000

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