Finite Group Databasebeta

← Group #11872818

Character table — Group #11872818

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121218181818242424242424242424242424242436363636363648484848
order1222334466666622222346666666666612121212666666666666666612121212121288884444444488242424242424242444444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-11-11-11111-1-1-1-1-1-1-1-1-1-11-11-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-11-11-11-1-1-1-11111-1-1-1-1-1-1-11-11
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ51111111111111111-1-1-11-1-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1111111111-1-11-1-111-1-111-1-111-1-1-1-1-111-1
χ61111111111111111-1-1-11-1-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-111-1-11111-1-111
χ71111111111111111-1-1-11-1-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-1111111-1-1
χ81111111111111111-1-1-11-1-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-111-111-1-111-1-11111-1-1-1-11-1-11
χ911111111111111-1-111-11-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-111-1-111111111-111-1-1-111-1-111-1-1-1-111-1-11-1-11
χ1011111111111111-1-111-11-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1111-1-1-1-11111-1-11111-1-1
χ1111111111111111-1-111-11-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-11-1-1-11111-1-111-1-111-1-111
χ1211111111111111-1-111-11-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111111-1-1111-1-111-1-111-1-111-1-1-111-1
χ1311111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ1411111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-111-11111-1-1-1-11111-1-1-11-11
χ1511111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-11-1-11-1-1-1-111111111-1-11-11-1
χ1611111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ17222222-2-2222222000022-222222222222-2-2-2-20000000000000000-2-2-2-2-2-2000022-2-20000000000000000002-20000
χ18222222-2-2222222000022-222222222222-2-2-2-20000000000000000-2-2-2-2-2-20000-2-222000000000000000000-220000
χ19222222-2-22222220000-222-2-2-2-222-2-2-2-22-2-2-2-2000000000000000022-2-222000022-2-2000000000000000000-220000
χ20222222-2-22222220000-222-2-2-2-222-2-2-2-22-2-2-2-2000000000000000022-2-2220000-2-2220000000000000000002-20000
χ2122222-1222-12-12-122222-1222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1002200000202020000-1-1-1-10000000-10-1
χ2222222-1222-12-12-122222-1222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12-1-1-1-1-100-2-200000-20-20-2000011110000000101
χ2322222-1222-12-12-122-2-2-2-1-2-2-211-1-11111-122-1-122-1-1-2-211-1-1-1-11111-21-1-111002200000-2020-20000-1-1110000000-101
χ2422222-1222-12-12-122-2-2-2-1-2-2-211-1-11111-122-1-122-1-1-2-211-1-1-1-11111-21-1-11100-2-20000020-202000011-1-1000000010-1
χ2522222-1222-12-12-1-2-222-2-1-2-2-211-1-11111-122-1-1-2-21122-1-11111-1-1-1-1-21-1-11100220000020-20-20000-1-111000000010-1
χ2622222-1222-12-12-1-2-222-2-1-2-2-211-1-11111-122-1-1-2-21122-1-11111-1-1-1-1-21-1-11100-2-200000-20202000011-1-10000000-101
χ2722222-1222-12-12-1-2-2-2-22-1222-1-1-1-1-1-1-1-1-122-1-1-2-211-2-211111111112-1-1-1-1-1002200000-20-2020000-1-1-1-10000000101
χ2822222-1222-12-12-1-2-2-2-22-1222-1-1-1-1-1-1-1-1-122-1-1-2-211-2-211111111112-1-1-1-1-100-2-2000002020-2000011110000000-10-1
χ292222-1222-12-12-1222222-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-12-1-1-1-122000000202020-1-1-1-10000000000-10-10
χ302222-1222-12-12-1222222-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2000000-20-20-20111100000000001010
χ312222-1222-12-12-1222-2-2-2-1-211-2-2-1-11111-1-1-122-1-12211-2-2-1-1-1-111111-2-1-1112200000020-20-20-1-111000000000010-10
χ322222-1222-12-12-1222-2-2-2-1-211-2-2-1-11111-1-1-122-1-12211-2-2-1-1-1-111111-2-1-111-2-2000000-20202011-1-10000000000-1010
χ332222-1222-12-12-12-2-222-2-1-211-2-2-1-11111-1-1-12211-2-2-1-1221111-1-1-1-11-2-1-11122000000-2020-20-1-1110000000000-1010
χ342222-1222-12-12-12-2-222-2-1-211-2-2-1-11111-1-1-12211-2-2-1-1221111-1-1-1-11-2-1-111-2-200000020-202011-1-1000000000010-10
χ352222-1222-12-12-12-2-2-2-22-12-1-122-1-1-1-1-1-1-1-1-12211-2-211-2-211111111-12-1-1-1-122000000-20-2020-1-1-1-100000000001010
χ362222-1222-12-12-12-2-2-2-22-12-1-122-1-1-1-1-1-1-1-1-12211-2-211-2-211111111-12-1-1-1-1-2-20000002020-2011110000000000-10-10
χ3722-2-2222-2-2-2-2-222002-20200000-2-2000022-22-200002-22-2000022-2-2002-20000002i−2i2i−2i00000000000000002i−2i000000
χ3822-2-2222-2-2-2-2-222002-20200000-2-2000022-22-200002-22-2000022-2-2002-2000000−2i2i−2i2i0000000000000000−2i2i000000
χ3922-2-2222-2-2-2-2-22200-220200000-2-2000022-22-20000-22-220000-2-222002-20000002i−2i2i−2i0000000000000000−2i2i000000
χ4022-2-2222-2-2-2-2-22200-220200000-2-2000022-22-20000-22-220000-2-222002-2000000−2i2i−2i2i00000000000000002i−2i000000
χ4122-2-222-22-2-2-2-2222-2000200000-2-200002-22-222-22-2000022-2-2000000-220000002i−2i−2i2i000000000000002i−2i00000000
χ4222-2-222-22-2-2-2-2222-2000200000-2-200002-22-222-22-2000022-2-2000000-22000000−2i2i2i−2i00000000000000−2i2i00000000
χ4322-2-222-22-2-2-2-222-22000200000-2-200002-22-22-22-220000-2-222000000-220000002i−2i−2i2i00000000000000−2i2i00000000
χ4422-2-222-22-2-2-2-222-22000200000-2-200002-22-22-22-220000-2-222000000-22000000−2i2i2i−2i000000000000002i−2i00000000
χ4544444-2-4-44-24-24-200004-2-444-2-2-2-2-2-2-2-2-2-4-4220000000000000000-42222200000000000000000000000000000000
χ4644444-2-4-44-24-24-20000-4-24-4-422-2-22222-2-4-42200000000000000004-222-2-200000000000000000000000000000000
χ474444-24-4-4-24-24-2400004-2-4-2-244-2-2-2-2-2-2-222-4-400000000000000002-4222200000000000000000000000000000000
χ484444-24-4-4-24-24-240000-4-2422-4-4-2-22222-222-4-40000000000000000-2422-2-200000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-24444414-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2111100000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-244-4-4-41-4222211-1-1-1-11-2-2-2-2-2-2-2-222221111-1-1-1-12211-1-100000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-444-41-4222211-1-1-1-11-2-2-2-22222-2-2-2-2-1-1-1-111112211-1-100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-4-4-4414-2-2-2-21111111-2-2-2-222222222-1-1-1-1-1-1-1-1-2-2111100000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2000041-4-2-2-2-211111112222000000003-33-33-33-322-1-1-1-100000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2000041-4-2-2-2-21111111222200000000-33-33-33-3322-1-1-1-100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-20000-414222211-1-1-1-112222000000003-33-3-33-33-2-2-1-11100000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-20000-414222211-1-1-1-11222200000000-33-333-33-3-2-2-1-11100000000000000000000000000000000
χ5744-4-44-24-4-42-424-2004-40-200000220000-24-4-2200004-4-220000-2-22200-220000000000000000000000000000000000
χ5844-4-44-24-4-42-424-200-440-200000220000-24-4-220000-442-2000022-2-200-220000000000000000000000000000000000
χ5944-4-44-2-44-42-424-24-4000-200000220000-2-442-24-4-220000-2-2220000002-20000000000000000000000000000000000
χ6044-4-44-2-44-42-424-2-44000-200000220000-2-442-2-442-2000022-2-20000002-20000000000000000000000000000000000
χ6144-4-4-244-42-42-4-24004-40-200000220000-2-224-40000-224-40000-2-22200-220000000000000000000000000000000000
χ6244-4-4-244-42-42-4-2400-440-200000220000-2-224-400002-2-44000022-2-200-220000000000000000000000000000000000
χ6344-4-4-24-442-42-4-244-4000-200000220000-22-2-44-224-40000-2-2220000002-20000000000000000000000000000000000
χ6444-4-4-24-442-42-4-24-44000-200000220000-22-2-442-2-44000022-2-20000002-20000000000000000000000000000000000
χ6544-4-4-2-24-42222-2-2004-40100000-1-133-3-31-22-220000-22-223-3-3311-1-1001-13-300000000000000000000000000000000
χ6644-4-4-2-24-42222-2-2004-40100000-1-1-3-3331-22-220000-22-22-333-311-1-1001-1-3300000000000000000000000000000000
χ6744-4-4-2-24-42222-2-200-440100000-1-133-3-31-22-2200002-22-2-333-3-1-111001-13-300000000000000000000000000000000
χ6844-4-4-2-24-42222-2-200-440100000-1-1-3-3331-22-2200002-22-23-3-33-1-111001-1-3300000000000000000000000000000000
χ6944-4-4-2-2-442222-2-24-4000100000-1-133-3-312-22-2-22-22000011-1-13-3-3300-11-3300000000000000000000000000000000
χ7044-4-4-2-2-442222-2-24-4000100000-1-1-3-33312-22-2-22-22000011-1-1-333-300-113-300000000000000000000000000000000
χ7144-4-4-2-2-442222-2-2-44000100000-1-133-3-312-22-22-22-20000-1-111-333-300-11-3300000000000000000000000000000000
χ7244-4-4-2-2-442222-2-2-44000100000-1-1-3-33312-22-22-22-20000-1-1113-3-3300-113-300000000000000000000000000000000
χ734-44-444004-4-44-4-4000004000004-40000-400000000000000000000000000−2i22i2000000000000−2i22i20000000000000000
χ744-44-444004-4-44-4-4000004000004-40000-4000000000000000000000000002i2−2i20000000000002i2−2i20000000000000000
χ754-44-4-2400-2-4242-400000-20−2i32i300-22−2i32i3−2i32i3200000000000000000000000000−2i22i2000000000000i2−i26−600000000000000
χ764-44-4-2400-2-4242-400000-20−2i32i300-22−2i32i3−2i32i32000000000000000000000000002i2−2i2000000000000−i2i2−6600000000000000
χ774-44-4-2400-2-4242-400000-202i3−2i300-222i3−2i32i3−2i3200000000000000000000000000−2i22i2000000000000i2−i2−6600000000000000
χ784-44-4-2400-2-4242-400000-202i3−2i300-222i3−2i32i3−2i32000000000000000000000000002i2−2i2000000000000−i2i26−600000000000000
χ794-4-444400-444-4-4-400000400000-440000-40000000000000000000000000000−2i22i200000000000000−2i22i2000000000000
χ804-4-444400-444-4-4-400000400000-440000-400000000000000000000000000002i2−2i2000000000000002i2−2i2000000000000
χ814-4-444-200-4-242-4200000-2000−2i32i32-2−2i32i32i3−2i320000000000000000000000000000−2i22i200000000000000i2−i26−60000000000
χ824-4-444-200-4-242-4200000-2000−2i32i32-2−2i32i32i3−2i3200000000000000000000000000002i2−2i200000000000000−i2i2−660000000000
χ834-4-444-200-4-242-4200000-20002i3−2i32-22i3−2i3−2i32i320000000000000000000000000000−2i22i200000000000000i2−i2−660000000000
χ844-4-444-200-4-242-4200000-20002i3−2i32-22i3−2i3−2i32i3200000000000000000000000000002i2−2i200000000000000−i2i26−60000000000
χ858-88-88-40084-8-4-8400000-400000-44000040000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-400-444-4440000020−4i34i3002-22i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400-444-44400000204i3−4i3002-2−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000
χ888-8-88-480048-4-84-800000-4000004-4000040000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-4-4444000002000−4i34i3-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4004-4-44440000020004i3−4i3-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000

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