Finite Group Databasebeta

← Group #11889231

Character table — Group #11889231

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order1222334466666622234666666666666666121212124426666666666666612121212121224488121212124444681212121212242424244488121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111111-11-11-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-1-11-11-11-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111-11-1-1-11111-1-111-1-1-1-11111111-111-1-1-1-11111-1-1-1-1-1-111-1-11-1-111-1-1111-1-111-1-1-1-11111-1-111111-1-1-1
χ61111111111111111-11-1-1-11111-1-111-1-1-1-11111111-111-1-1-1-11111-1-1-1-1-1-111-1-11-1-1-1-1-1-11111-1-111-1-1-111-1-111-1-1-1-1-1111
χ71111111111111111-11-1-1-11111-1-111-1-1-1-111111-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1111111-1-1-1-111-1-1111-1-111-1-1-1-1-1-11-111
χ81111111111111111-11-1-1-11111-1-111-1-1-1-111111-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-111-1-1-111-1-11111-1-1-1-1111111-11-1-1
χ911111111111111-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-11
χ1011111111111111-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-11-111-11-1-1-1-1-1-1-1-111-1-1111-1
χ1111111111111111-1-111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-11-11-1-11-11111111111-1-1-1-11-1
χ1211111111111111-1-111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-11
χ1311111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-11111-1-111-1-11-1-111-1-111-111-11-1-111-1-111-1-1-1-111-111-1
χ1411111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-11111-1-111-1-11-1-1-1-1-1-111-1-11111-111-1-1-1-11111-1-11-1-11
χ1511111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1-1-11111-1-111-1-1-1111111-1-111-1-1-1-11-1-11111-1-111-1-1-11-11
χ1611111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1-1-11111-1-111-1-1-111-1-111-1-11-1-11-111-1-111-1-111-1-1111-11-1
χ17222222-2-22222220022-2220000222222222-2-2-2-222000000000000000-2-2-2-2-2-2-22-20022220000-20-20000000000000000
χ18222222-2-22222220022-2220000222222222-2-2-2-2-2-2000000000000000-2-2-2-2-2-22-2200-2-2-2-200002020000000000000000
χ19222222-2-222222200-222-2-20000-2-222-2-2-2-22-2-2-2-22200000000000000022-2-222-2-2200-2-2220000-2020000000000000000
χ20222222-2-222222200-222-2-20000-2-222-2-2-2-22-2-2-2-2-2-200000000000000022-2-22222-20022-2-2000020-20000000000000000
χ2122222-1222-122-1-1222-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-122200-1-1-1-12020-10-1-1-1-1-1000000000000
χ2222222-1222-122-1-1222-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-2-2-2001111-20-201011111000000000000
χ2322222-1222-122-1-122-2-1-2-2-2-1-1-1-111-1-11111-1-1-12222-222-2-211-1-1-1-11111-21-1-1112-2-20011-1-120-20-10111-1-1000000000000
χ2422222-1222-122-1-122-2-1-2-2-2-1-1-1-111-1-11111-1-1-122-2-2-222-2-211-1-1-1-11111-21-1-111-22200-1-111-202010-1-1-111000000000000
χ2522222-1222-122-1-1-2-22-12221111-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-211111111112-1-1-1-1-122200-1-1-1-1-20-20-10-11111000000000000
χ2622222-1222-122-1-1-2-22-12221111-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-211111111112-1-1-1-1-1-2-2-20011112020101-1-1-1-1000000000000
χ2722222-1222-122-1-1-2-2-2-1-2-2-2111111-1-11111-1-1-122222-2-222-1-11111-1-1-1-1-21-1-1112-2-20011-1-1-2020-101-1-111000000000000
χ2822222-1222-122-1-1-2-2-2-1-2-2-2111111-1-11111-1-1-122-2-22-2-222-1-11111-1-1-1-1-21-1-111-22200-1-11120-2010-111-1-1000000000000
χ2922222-1-2-22-122-1-1002-1-222−i3−i3i3i3-1-1-1-1-1-1-1-1-111-2-22200000−i3i3−i3−i3i3i3−i3−i3i3i3-211111-22-200-1-1-1-10000101−i3i3−i3i3000000000000
χ3022222-1-2-22-122-1-1002-1-222−i3−i3i3i3-1-1-1-1-1-1-1-1-111-2-2-2-200000−i3i3−i3−i3i3i3−i3−i3i3i3-2111112-220011110000-10-1i3−i3i3−i3000000000000
χ3122222-1-2-22-122-1-1002-1-222i3i3−i3−i3-1-1-1-1-1-1-1-1-111-2-22200000i3−i3i3i3−i3−i3i3i3−i3−i3-211111-22-200-1-1-1-10000101i3−i3i3−i3000000000000
χ3222222-1-2-22-122-1-1002-1-222i3i3−i3−i3-1-1-1-1-1-1-1-1-111-2-2-2-200000i3−i3i3i3−i3−i3i3i3−i3−i3-2111112-220011110000-10-1−i3i3−i3i3000000000000
χ3322222-1-2-22-122-1-100-2-12-2-2−i3−i3i3i311-1-11111-111-2-22200000i3−i3−i3−i3i3i3i3i3−i3−i32-111-1-1-2-220011-1-1000010-1i3−i3−i3i3000000000000
χ3422222-1-2-22-122-1-100-2-12-2-2−i3−i3i3i311-1-11111-111-2-2-2-200000i3−i3−i3−i3i3i3i3i3−i3−i32-111-1-122-200-1-1110000-101−i3i3i3−i3000000000000
χ3522222-1-2-22-122-1-100-2-12-2-2i3i3−i3−i311-1-11111-111-2-22200000−i3i3i3i3−i3−i3−i3−i3i3i32-111-1-1-2-220011-1-1000010-1−i3i3i3−i3000000000000
χ3622222-1-2-22-122-1-100-2-12-2-2i3i3−i3−i311-1-11111-111-2-2-2-200000−i3i3i3i3−i3−i3−i3−i3i3i32-111-1-122-200-1-1110000-101i3−i3−i3i3000000000000
χ372222-1222-12-1-122222-12-1-1222222-1-1-1-1-1-1-122-1-1002-1-1-1-122-1-1-1-1-1-1-1-1-12-1-1-1-100022000002020200000-1-1-1-10000-1-100
χ382222-1222-12-1-122222-12-1-1222222-1-1-1-1-1-1-122-1-1002-1-1-1-122-1-1-1-1-1-1-1-1-12-1-1-1-1000-2-200000-20-20-200000111100001100
χ392222-1222-12-1-12222-2-1-2112222-2-2-1-11111-122-1-100-2-1-111-2-2-1-1-1-111111-2-1-1110002200000-2020-200000-1-1110000-1100
χ402222-1222-12-1-12222-2-1-2112222-2-2-1-11111-122-1-100-2-1-111-2-2-1-1-1-111111-2-1-111000-2-20000020-2020000011-1-100001-100
χ412222-1222-12-1-122-2-22-12-1-1-2-2-2-222-1-1-1-1-1-1-122-1-100-21111-2-211111111-12-1-1-1-10002200000-20-20200000-1-1-1-100001100
χ422222-1222-12-1-122-2-22-12-1-1-2-2-2-222-1-1-1-1-1-1-122-1-100-21111-2-211111111-12-1-1-1-1000-2-2000002020-20000011110000-1-100
χ432222-1222-12-1-122-2-2-2-1-211-2-2-2-2-2-2-1-11111-122-1-100211-1-1221111-1-1-1-11-2-1-111000220000020-20-200000-1-11100001-100
χ442222-1222-12-1-122-2-2-2-1-211-2-2-2-2-2-2-1-11111-122-1-100211-1-1221111-1-1-1-11-2-1-111000-2-200000-202020000011-1-10000-1100
χ4522-2-2222-2-2-2-22-222-2020002-22-200-2-2000022-22-20002-200002-22-20000002-2000000000000000000000000002i−2i2i−2i0000
χ4622-2-2222-2-2-2-22-222-2020002-22-200-2-2000022-22-20002-200002-22-20000002-200000000000000000000000000−2i2i−2i2i0000
χ4722-2-2222-2-2-2-22-22-2202000-22-2200-2-2000022-22-2000-220000-22-220000002-2000000000000000000000000002i−2i−2i2i0000
χ4822-2-2222-2-2-2-22-22-2202000-22-2200-2-2000022-22-2000-220000-22-220000002-200000000000000000000000000−2i2i2i−2i0000
χ494444-24-4-4-24-2-244004-2-4-2-2000044-2-2-2-2-2-2-2-4-422000000000000000002-4222200000000000000000000000000000000
χ504444-24-4-4-24-2-24400-4-24220000-4-4-2-22222-2-4-42200000000000000000-2422-2-200000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-244414-2-2-2-2-2-2-2-21111111-2-2-2-2004-2-2-2-2-2-211111111-2-2111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-244-41-422-2-2-2-22211-1-1-1-11-2-2-2-200-4-2-222221111-1-1-1-12211-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-4-4414-2-22222-2-21111111-2-2-2-200-4222222-1-1-1-1-1-1-1-1-2-2111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-4-4-41-42222222211-1-1-1-11-2-2-2-200422-2-2-2-2-1-1-1-111112211-1-100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-20041-4-2-2−2i3−2i32i32i3-2-2111111122220000000−2i32i3i3i3−i3−i3i3i3−i3−i322-1-1-1-100000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-20041-4-2-22i32i3−2i3−2i3-2-21111111222200000002i3−2i3−i3−i3i3i3−i3−i3i3i322-1-1-1-100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-200-41422−2i3−2i32i32i32211-1-1-1-11222200000002i3−2i3i3i3−i3−i3−i3−i3i3i3-2-2-1-11100000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-200-414222i32i3−2i3−2i32211-1-1-1-1122220000000−2i32i3−i3−i3i3i3i3i3−i3−i3-2-2-1-11100000000000000000000000000000000
χ5944-4-444-44-4-4-44-440004000000000-4-400004-44-440000000000000000000-440000000000000000000000000000000000
χ6044-4-44-24-4-42-442-24-40-2000-22-2200220000-2-224-40004-40000-22-22000000-220000000000000000000000000000000000
χ6144-4-44-24-4-42-442-2-440-20002-22-200220000-2-224-4000-4400002-22-2000000-220000000000000000000000000000000000
χ6244-4-44-2-44-42-442-2000-2000−2i32i32i3−2i300220000-22-2-44000000000−2i32i32i3−2i30000002-20000000000000000000000000000000000
χ6344-4-44-2-44-42-442-2000-20002i3−2i3−2i32i300220000-22-2-440000000002i3−2i3−2i32i30000002-20000000000000000000000000000000000
χ6444-4-4-244-42-42-2-444-40-20004-44-400220000-24-4-22000-220000-22-22000000-220000000000000000000000000000000000
χ6544-4-4-244-42-42-2-44-440-2000-44-4400220000-24-4-220002-200002-22-2000000-220000000000000000000000000000000000
χ6644-4-4-24-442-42-2-44000-2000000000220000-2-442-200000−2i32i3000000−2i32i3−2i32i3002-20000000000000000000000000000000000
χ6744-4-4-24-442-42-2-44000-2000000000220000-2-442-2000002i3−2i30000002i3−2i32i3−2i3002-20000000000000000000000000000000000
χ6844-4-4-2-24-4222-22-24-401000-22-2200-1-133-3-31-22-22000-2200001-11-13-3-33001-13-300000000000000000000000000000000
χ6944-4-4-2-24-4222-22-24-401000-22-2200-1-1-3-3331-22-22000-2200001-11-1-333-3001-1-3300000000000000000000000000000000
χ7044-4-4-2-24-4222-22-2-44010002-22-200-1-133-3-31-22-220002-20000-11-11-333-3001-13-300000000000000000000000000000000
χ7144-4-4-2-24-4222-22-2-44010002-22-200-1-1-3-3331-22-220002-20000-11-113-3-33001-1-3300000000000000000000000000000000
χ7244-4-4-2-2-44222-22-20001000−2i32i32i3−2i300-1-133-3-312-22-2000002i3−2i300i3−i3−i3i3−i3i3−i3i300-11-3300000000000000000000000000000000
χ7344-4-4-2-2-44222-22-20001000−2i32i32i3−2i300-1-1-3-33312-22-200000−2i32i300i3−i3−i3i3i3−i3i3−i300-113-300000000000000000000000000000000
χ7444-4-4-2-2-44222-22-200010002i3−2i3−2i32i300-1-133-3-312-22-200000−2i32i300−i3i3i3−i3i3−i3i3−i300-11-3300000000000000000000000000000000
χ7544-4-4-2-2-44222-22-200010002i3−2i3−2i32i300-1-1-3-33312-22-2000002i3−2i300−i3i3i3−i3−i3i3−i3i300-113-300000000000000000000000000000000
χ764-44-444004-4-4-44-400040000000004-40000-4000000000000000000000000000000−2i22i2000000000000000−2i22i20000000000
χ774-44-444004-4-4-44-400040000000004-40000-40000000000000000000000000000002i2−2i20000000000000002i2−2i20000000000
χ784-44-4-2400-2-4224-4000-20−2i32i3000000-22−2i32i3−2i32i32000000000000000000000000000000−2i22i2000000000000000i2−i26−600000000
χ794-44-4-2400-2-4224-4000-20−2i32i3000000-22−2i32i3−2i32i320000000000000000000000000000002i2−2i2000000000000000−i2i2−6600000000
χ804-44-4-2400-2-4224-4000-202i3−2i3000000-222i3−2i32i3−2i32000000000000000000000000000000−2i22i2000000000000000i2−i2−6600000000
χ814-44-4-2400-2-4224-4000-202i3−2i3000000-222i3−2i32i3−2i320000000000000000000000000000002i2−2i2000000000000000−i2i26−600000000
χ824-4-444400-444-4-4-40004000000000-440000-400004i−4i00000000000000000000000000004i−4i00000000000000000000000
χ834-4-444400-444-4-4-40004000000000-440000-40000−4i4i0000000000000000000000000000−4i4i00000000000000000000000
χ844-4-444-200-4-24-422000-20000000−2i32i32-2−2i32i32i3−2i3200004i−4i0000000000000000000000000023−23−2i2i00000000000000000000000
χ854-4-444-200-4-24-422000-20000000−2i32i32-2−2i32i32i3−2i320000−4i4i00000000000000000000000000−23232i−2i00000000000000000000000
χ864-4-444-200-4-24-422000-200000002i3−2i32-22i3−2i3−2i32i3200004i−4i00000000000000000000000000−2323−2i2i00000000000000000000000
χ874-4-444-200-4-24-422000-200000002i3−2i32-22i3−2i3−2i32i320000−4i4i0000000000000000000000000023−232i−2i00000000000000000000000
χ888-88-88-40084-8-8-44000-4000000000-440000400000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400-4444-4400020−4i34i30000002-22i3−2i32i3−2i3-200000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-4444-44000204i3−4i30000002-2−2i32i3−2i32i3-200000000000000000000000000000000000000000000000000000000000
χ918-8-88-480048-44-8-8000-40000000004-40000400000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004-4-444400020000000−4i34i3-222i3−2i3−2i32i3-200000000000000000000000000000000000000000000000000000000000
χ938-8-88-4-4004-4-4444000200000004i3−4i3-22−2i32i32i3−2i3-200000000000000000000000000000000000000000000000000000000000

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