Finite Group Databasebeta

← Group #11865053

Character table — Group #11865053

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order122223344446666121236666666612121212121212121212122466666666661212121212121212121222222244446666668812121212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111111111-1-1
χ911-1-1111-1-1111111-1-111-1-1-1-111111-1-11-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-111-1-11-11-11-11-111-1-11-111-1-11-111-1-11-11-11-1
χ1011-1-1111-1-1111111-1-111-1-1-1-111111-1-11-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-111-1-1-11-111-1-1111-1-1-1111-1-1-11-1-111-11-11-11
χ1111-1-1111-1-1111111-1-111-1-1-1-111111-1-11-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-1-1111-11-1-111-1-1-1111-1-1-1111-111-1-1-11-11-11
χ1211-1-1111-1-1111111-1-111-1-1-1-111111-1-11-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-11-11-11-11-1-111-11-1-111-11-1-1111-11-11-1
χ1311-1-1111-1-1111111-1-111-1-1-1-111111-1-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-11-11-1-111-111-1-1-11-1-1111-1-1-1111-11-1-11
χ1411-1-1111-1-1111111-1-111-1-1-1-111111-1-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11-11-11-1111-1-11-1-1-111-1111-1-1-11-111-1
χ1511-1-1111-1-1111111-1-111-1-1-1-111111-1-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1111-11-11-11-1-1-111-1111-1-11-1-1-111-11-111-1
χ1611-1-1111-1-1111111-1-111-1-1-1-111111-1-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-11-111-1-11-1-1111-111-1-1-1111-1-11-11-1-11
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-200002-22-2000000002-22-2000000000000000000
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-20000-22-2200000000-22-22000000000000000000
χ19222222-12222-1-1-1222-1222-1-1-1-1-1-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222200002200-1-1-1-100-1-1-1-1000000000000
χ20222222-12222-1-1-1222-1222-1-1-1-1-1-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-2001111001111000000000000
χ21222222-12222-1-1-1222-1222-1-1-1-1-1-1-1-1-122-1-1-1-12-2-2-2-211-1-1111111-2-2-1-1111122220000-2-200-1-1-1-1001111000000000000
χ22222222-12222-1-1-1222-1222-1-1-1-1-1-1-1-1-122-1-1-1-12-2-2-2-211-1-1111111-2-2-1-11111-2-2-2-200002200111100-1-1-1-1000000000000
χ23222222-1-2-2-2-2-1-1-12-2-2-1222-1-1-1-1-11111-2-21111-20000−i3i3-1-1−i3−i3i3i3−i3i30011−i3−i3i3i32-22-200000000-11-1100−i3i3−i3i3000000000000
χ24222222-1-2-2-2-2-1-1-12-2-2-1222-1-1-1-1-11111-2-21111-20000−i3i3-1-1−i3−i3i3i3−i3i30011−i3−i3i3i3-22-22000000001-11-100i3−i3i3−i3000000000000
χ25222222-1-2-2-2-2-1-1-12-2-2-1222-1-1-1-1-11111-2-21111-20000i3−i3-1-1i3i3−i3−i3i3−i30011i3i3−i3−i32-22-200000000-11-1100i3−i3i3−i3000000000000
χ26222222-1-2-2-2-2-1-1-12-2-2-1222-1-1-1-1-11111-2-21111-20000i3−i3-1-1i3i3−i3−i3i3−i30011i3i3−i3−i3-22-22000000001-11-100−i3i3−i3i3000000000000
χ2722222-122222222-1-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222200-1-10000220000-1-1-1-1-1-1000000
χ2822222-122222222-1-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-200110000-2-20000111111000000
χ2922222-122222222-1-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-2-211-2-2-1-11111-2-211-1-111110000222200-1-10000-2-20000-1-11111000000
χ3022222-122222222-1-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-2-211-2-2-1-11111-2-211-1-111110000-2-2-2-20011000022000011-1-1-1-1000000
χ31222-2-2222-22-22-2-22222-22-22-2-2-222-22-2-2-222-2-220000002-2000000002-2000000002-2-22002-20000000000-220000000000
χ32222-2-2222-22-22-2-22222-22-22-2-2-222-22-2-2-222-2-220000002-2000000002-200000000-222-200-2200000000002-20000000000
χ33222-2-222-22-222-2-22-2-22-22-22-2-2-22-22-2222-2-222-20000002-200000000-22000000000000000000000000000000002-2-2200
χ34222-2-222-22-222-2-22-2-22-22-22-2-2-22-22-2222-2-222-20000002-200000000-2200000000000000000000000000000000-222-200
χ35222-2-2-122-22-22-2-2-1-1-1-11-112-211-12-22-211-1-111-100−i3i300-11−i3i3−i3i300−i3i3-11−i3i3−i3i300002-2-2200-1100000000001-1−i3i3−i3i3000000
χ36222-2-2-122-22-22-2-2-1-1-1-11-112-211-12-22-211-1-111-100−i3i300-11−i3i3−i3i300−i3i3-11−i3i3−i3i30000-222-2001-10000000000-11i3−i3i3−i3000000
χ37222-2-2-122-22-22-2-2-1-1-1-11-112-211-12-22-211-1-111-100i3−i300-11i3−i3i3−i300i3−i3-11i3−i3i3−i300002-2-2200-1100000000001-1i3−i3i3−i3000000
χ38222-2-2-122-22-22-2-2-1-1-1-11-112-211-12-22-211-1-111-100i3−i300-11i3−i3i3−i300i3−i3-11i3−i3i3−i30000-222-2001-10000000000-11−i3i3−i3i3000000
χ3922-22-2222-2-222-2-22222-2-22-22-2-22-222-22-222-2-2-2000000-2200000000-220000000000000000000000000000000022-2-200
χ4022-22-2222-2-222-2-22222-2-22-22-2-22-222-22-222-2-2-2000000-2200000000-2200000000000000000000000000000000-2-22200
χ4122-22-222-222-22-2-22-2-22-2-22-22-2-222-2-22-22-2-2222000000-22000000002-20000000022-2-200220000000000-2-20000000000
χ4222-22-222-222-22-2-22-2-22-2-22-22-2-222-2-22-22-2-2222000000-22000000002-200000000-2-22200-2-20000000000220000000000
χ4322-22-2-12-222-22-2-2-111-111-1-2211-12-2-221-111-1-1-100−i3i3001-1−i3i3−i3i300i3−i3-11i3−i3i3−i3000022-2-200-1-1000000000011−i3i3i3−i3000000
χ4422-22-2-12-222-22-2-2-111-111-1-2211-12-2-221-111-1-1-100−i3i3001-1−i3i3−i3i300i3−i3-11i3−i3i3−i30000-2-22200110000000000-1-1i3−i3−i3i3000000
χ4522-22-2-12-222-22-2-2-111-111-1-2211-12-2-221-111-1-1-100i3−i3001-1i3−i3i3−i300−i3i3-11−i3i3−i3i3000022-2-200-1-1000000000011i3−i3−i3i3000000
χ4622-22-2-12-222-22-2-2-111-111-1-2211-12-2-221-111-1-1-100i3−i3001-1i3−i3i3−i300−i3i3-11−i3i3−i3i30000-2-22200110000000000-1-1−i3i3i3−i3000000
χ4722-2-222222-2-222222222-2-2-2-2222-2-222-222222-2000000-2-200000000-2-200002-2-22000000002-2-22000000000000000000
χ4822-2-222222-2-222222222-2-2-2-2222-2-222-222222-2000000-2-200000000-2-20000-222-200000000-222-2000000000000000000
χ4922-2-222-122-2-2-1-1-1222-12-2-211-1-1-111-1-1-22-1-1-1-1-20000−i3i311−i3−i3i3i3i3−i30011i3i3−i3−i32-2-2200000000-111-100−i3i3i3−i3000000000000
χ5022-2-222-122-2-2-1-1-1222-12-2-211-1-1-111-1-1-22-1-1-1-1-20000−i3i311−i3−i3i3i3i3−i30011i3i3−i3−i3-222-2000000001-1-1100i3−i3−i3i3000000000000
χ5122-2-222-122-2-2-1-1-1222-12-2-211-1-1-111-1-1-22-1-1-1-1-20000i3−i311i3i3−i3−i3−i3i30011−i3−i3i3i32-2-2200000000-111-100i3−i3−i3i3000000000000
χ5222-2-222-122-2-2-1-1-1222-12-2-211-1-1-111-1-1-22-1-1-1-1-20000i3−i311i3i3−i3−i3−i3i30011−i3−i3i3i3-222-2000000001-1-1100−i3i3i3−i3000000000000
χ5322-2-222-1-2-222-1-1-12-2-2-12-2-211-1-1-1-1-1112-2111122-222-1-111-1-1-1-111-2-2-1-1111122-2-200002-200-1-11100-1-111000000000000
χ5422-2-222-1-2-222-1-1-12-2-2-12-2-211-1-1-1-1-1112-2111122-222-1-111-1-1-1-111-2-2-1-11111-2-2220000-220011-1-10011-1-1000000000000
χ5522-2-222-1-2-222-1-1-12-2-2-12-2-211-1-1-1-1-1112-211112-22-2-211111111-1-122-1-1-1-1-1-122-2-20000-2200-1-1110011-1-1000000000000
χ5622-2-222-1-2-222-1-1-12-2-2-12-2-211-1-1-1-1-1112-211112-22-2-211111111-1-122-1-1-1-1-1-1-2-22200002-20011-1-100-1-111000000000000
χ5722-2-22-12-2-222222-111-1-111-2-2-1-1-122-2-2-111111-12-2-1-12211-1-1-1-1-2-211-1-1111100002-22-200-1100002-20000-11-1-111000000
χ5822-2-22-12-2-222222-111-1-111-2-2-1-1-122-2-2-111111-12-2-1-12211-1-1-1-1-2-211-1-111110000-22-22001-10000-2200001-111-1-1000000
χ5922-2-22-12-2-222222-111-1-111-2-2-1-1-122-2-2-111111-1-2211-2-211111122-1-1-1-1-1-1-1-100002-22-200-110000-220000-1111-1-1000000
χ6022-2-22-12-2-222222-111-1-111-2-2-1-1-122-2-2-111111-1-2211-2-211111122-1-1-1-1-1-1-1-10000-22-22001-100002-200001-1-1-111000000
χ6144444-24-4-4-4-4444-222-2-2-2-244-2-2-2-4-4-4-42222222000000-2-2000000002200000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-244-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111222222-1-1-1-120000−2i32i311i3i3−i3−i3−2i32i300-1-1i3i3−i3−i30000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111222222-1-1-1-1200002i3−2i311−i3−i3i3i32i3−2i300-1-1−i3−i3i3i30000000000000000000000000000000000
χ66444-4-44-24-44-4-222444-2-44-4-2222-2-22-22-4-4-2-2224000000-2200000000-2200000000000000000000000000000000000000
χ67444-4-44-2-44-44-2224-4-4-2-44-4-2222-22-22-24422-2-2-4000000-22000000002-200000000000000000000000000000000000000
χ68444-4-4-24-44-444-4-4-222-22-224-422-2-44-44-2-222-2-22000000-22000000002-200000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-222-2-2-212-22-22-1-11-22-222211-1-1-200−2i32i3001-1i3−i3i3−i300−2i32i31-1i3−i3i3−i30000000000000000000000000000000000
χ70444-4-4-2-24-44-4-222-2-2-212-22-22-1-11-22-222211-1-1-2002i3−2i3001-1−i3i3−i3i3002i3−2i31-1−i3i3−i3i30000000000000000000000000000000000
χ71444-4-4-2-2-44-44-222-22212-22-22-1-112-22-2-2-2-1-11120000001-13-3-330000-113-3-330000000000000000000000000000000000
χ72444-4-4-2-2-44-44-222-22212-22-22-1-112-22-2-2-2-1-11120000001-1-333-30000-11-333-30000000000000000000000000000000000
χ7344-44-44-24-4-44-222444-2-4-442-222-22-2-224-4-2-222-40000002-2000000002-200000000000000000000000000000000000000
χ7444-44-44-2-444-4-2224-4-4-2-4-442-222-2-222-2-4422-2-240000002-200000000-2200000000000000000000000000000000000000
χ7544-44-4-244-4-444-4-4-2-2-2-222-2-4422-2-444-4-22-2-22220000002-2000000002-200000000000000000000000000000000000000
χ7644-44-4-2-24-4-44-222-2-2-2122-22-2-1-112-2-22-2211-1-12000000-113-3-330000-11-333-30000000000000000000000000000000000
χ7744-44-4-2-24-4-44-222-2-2-2122-22-2-1-112-2-22-2211-1-12000000-11-333-30000-113-3-330000000000000000000000000000000000
χ7844-44-4-2-2-444-4-222-222122-22-2-1-11-222-22-2-1-111-200−2i32i300-11i3−i3i3−i3002i3−2i31-1−i3i3−i3i30000000000000000000000000000000000
χ7944-44-4-2-2-444-4-222-222122-22-2-1-11-222-22-2-1-111-2002i3−2i300-11−i3i3−i3i300−2i32i31-1i3−i3i3−i30000000000000000000000000000000000
χ8044-4-44-2444-4-4444-2-2-2-2-222-4-4-2-2-2-4-4442-2-2-2-2-2200000022000000002200000000000000000000000000000000000000
χ8144-4-44-2-244-4-4-2-2-2-2-2-21-2222211122-2-22-2111120000−2i32i3-1-1i3i3−i3−i32i3−2i300-1-1−i3−i3i3i30000000000000000000000000000000000
χ8244-4-44-2-244-4-4-2-2-2-2-2-21-2222211122-2-22-21111200002i3−2i3-1-1−i3−i3i3i3−2i32i300-1-1i3i3−i3−i30000000000000000000000000000000000
χ8344-4-44-2-2-4-444-2-2-2-2221-22222111-2-222-22-1-1-1-1-24-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000
χ8444-4-44-2-2-4-444-2-2-2-2221-22222111-2-222-22-1-1-1-1-2-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ858-8000880000-800-80080000000-80000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-400004−4i34i3-800-400000−4i34i340000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-4000044i3−4i3-800-4000004i3−4i340000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000-800443−43-40000000400000043−4300000000000000000000000000000000000000000000000000000000000
χ898-8000-480000-8004−4343-400000004000000−434300000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004−4i34i3443−432000002i3−2i3-2000000−23236i−6i000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004−4i34i34−43432000002i3−2i3-200000023−23−6i6i000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044i3−4i3443−43200000−2i32i3-2000000−2323−6i6i000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044i3−4i34−4343200000−2i32i3-200000023−236i−6i000000000000000000000000000000000000000000000000000000000

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