Finite Group Databasebeta

← Group #11886702

Character table — Group #11886702

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222222244444444488888888888888812121212121212121616161616161624242424242424242424242436363636484848487272
order12233446666366661212121244412121212121212121212121222448888121212121212122466881212242424242244612242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-11-1-111-1-11-111-1-11111-1-11-11-11-1-1-11-1
χ6111111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1111-1-111-1-1-1111-1-111-1-111-11-11-11-1-1-11
χ7111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11-1-111-1-11-1-1-111-1-111-1-1-11-111-111-11
χ8111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-11-1-111-1-1-1-1111-11-1-11111-1
χ911111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-1-111-1-111-111-11-11-111-1-11111-111-1-1-1
χ1011111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-111-111-1-1111-11-11-11-1-1-111-1-1-1-11-11-111
χ1111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-111-1-111-11-11-11-1111-1-1-1-1-1-1-11-1111
χ1211111111111111111111-11-1-1-1-1-1-1-1-1-1-1-111-11-11-1-111-111-1-1111-1-11-11-11-1-11111111-1-11-1-1
χ1311111111111111111111-1-1111-1-1111111111-11-11111-1-1-1-1-1-1-1-1-11-1-111-111111-11-1-1-1-11-11
χ1411111111111111111111-1-1111-1-1111111111-11-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-11-1111-111-1
χ1511111111111111111111-1-1111-1-111111111-11-111111-1-1-1-1-1-1-1-1-1-111-1-111111-11-11-1-11-11-1
χ1611111111111111111111-1-1111-1-111111111-11-11-1-1-1-1-1-1-1-1-1-1-111-111-1-11-1-1-1-11-11-1111-1-11
χ172222-122222-1-1-1-1-1-122-1-122222-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-100-1-122-1-10000000000-1-100
χ182222-122222-1-1-1-1-1-122-1-122222-1-1-1-1-1-1-1-1-1-1-2-2-2-2000022-1-1-1-1-10011-2-21100000000001100
χ192222-122222-1-1-1-1-1-122-1-12-2-2-2-2-1-1111111-1-1222200002-21-1-11100-1-1-2-2-1-100000000001100
χ202222-122222-1-1-1-1-1-122-1-12-2-2-2-2-1-1111111-1-1-2-2-2-200002-21-1-111001122110000000000-1-100
χ212222-122222-1-1-1-1-1-122-1-1-22-2-2-211111111-1-12-22-20000-22-111-1-100-112-2-110000000000-1100
χ222222-122222-1-1-1-1-1-122-1-1-22-2-2-211111111-1-1-22-220000-22-111-1-1001-1-221-100000000001-100
χ232222-122222-1-1-1-1-1-122-1-1-2-222211-1-1-1-1-1-1-1-12-22-20000-2-21111100-11-22-1100000000001-100
χ242222-122222-1-1-1-1-1-122-1-1-2-222211-1-1-1-1-1-1-1-1-22-220000-2-211111001-12-21-10000000000-1100
χ25222-1222-1-1-12-12-1-1-1-1-122222-1-12222-1-1-1-1-1-100002222-1-12-1-1-1-122000000-1-1-1-10000-1-10000
χ26222-1222-1-1-12-12-1-1-1-1-122222-1-12222-1-1-1-1-1-10000-2-2-2-2-1-12-1-1-1-1-2-200000011110000110000
χ27222-1222-1-1-12-12-1-1-1-1-1222-2-21122-2-21111-1-1000022-2-2-11-2-1-1112-2000000-1-1110000-110000
χ28222-1222-1-1-12-12-1-1-1-1-1222-2-21122-2-21111-1-10000-2-222-11-2-1-111-2200000011-1-100001-10000
χ29222-1222-1-1-12-12-1-1-1-1-122-22-211-2-2-2-21111-1-1000022-2-21-1211-1-1-22000000-1-11100001-10000
χ30222-1222-1-1-12-12-1-1-1-1-122-22-211-2-2-2-21111-1-10000-2-2221-1211-1-12-200000011-1-10000-110000
χ31222-1222-1-1-12-12-1-1-1-1-122-2-22-1-1-2-222-1-1-1-1-1-10000222211-21111-2-2000000-1-1-1-10000110000
χ32222-1222-1-1-12-12-1-1-1-1-122-2-22-1-1-2-222-1-1-1-1-1-10000-2-2-2-211-211112200000011110000-1-10000
χ3322-2222-2-2-2222-2-2-222-22-200000000000002-2020-2002-200000000002000-2002-2020-2000000
χ3422-2222-2-2-2222-2-2-222-22-200000000000002-2020-200-2200000000002000-200-220-202000000
χ3522-2222-2-2-2222-2-2-222-22-200000000000002-20-202002-20000000000-20002002-20-202000000
χ3622-2222-2-2-2222-2-2-222-22-200000000000002-20-20200-220000000000-2000200-22020-2000000
χ3722-222-22-2-2222-2-2-22-22-220000000000000-2220-202-2000000000002000-202-20020-20000000
χ3822-222-22-2-2222-2-2-22-22-220000000000000-2220-20-22000000000002000-20-2200-2020000000
χ3922-222-22-2-2222-2-2-22-22-220000000000000-22-20202-200000000000-2000202-200-2020000000
χ4022-222-22-2-2222-2-2-22-22-220000000000000-22-2020-2200000000000-200020-220020-20000000
χ4144444-4-4444444444-4-4-4-40000000000000-4-40000000000000000000000000000000000000
χ424444-2-4-4444-2-2-2-2-2-2-4-422000002i3−2i300000022000000000002i3−2i3000000000000000000000000
χ434444-2-4-4444-2-2-2-2-2-2-4-42200000−2i32i30000002200000000000−2i32i3000000000000000000000000
χ44444-24-4-4-2-2-24-24-2-2-222-4-40002i3−2i300002i32i3−2i3−2i3220000000000000000000000000000000000000
χ45444-24-4-4-2-2-24-24-2-2-222-4-4000−2i32i30000−2i3−2i32i32i3220000000000000000000000000000000000000
χ46444-2-244-2-2-2-21-2111-2-2-2-2444-2-2-2-2-2-211111100000000-2-2-211110000000000000000000000
χ47444-2-244-2-2-2-21-2111-2-2-2-24-4-422-2-222-1-1-1-11100000000-22211-1-10000000000000000000000
χ48444-2-244-2-2-2-21-2111-2-2-2-2-44-4222222-1-1-1-111000000002-2-2-1-1110000000000000000000000
χ49444-2-244-2-2-2-21-2111-2-2-2-2-4-44-2-222-2-211111100000000222-1-1-1-10000000000000000000000
χ50444-2-2-4-4-2-2-2-21-211122220002i3−2i32i3−2i300−i3−i3i3i3-1-100000000000−i3i33-30000000000000000000000
χ51444-2-2-4-4-2-2-2-21-211122220002i3−2i3−2i32i300−i3−i3i3i3-1-100000000000i3−i3-330000000000000000000000
χ52444-2-2-4-4-2-2-2-21-21112222000−2i32i32i3−2i300i3i3−i3−i3-1-100000000000−i3i3-330000000000000000000000
χ53444-2-2-4-4-2-2-2-21-21112222000−2i32i3−2i32i300i3i3−i3−i3-1-100000000000i3−i33-30000000000000000000000
χ5444-44-24-4-4-44-2-2222-24-4-220000000000000-22040-400000000000000-2000200000000000000
χ5544-44-24-4-4-44-2-2222-24-4-220000000000000-220-404000000000000002000-200000000000000
χ5644-44-2-44-4-44-2-2222-2-442-200000000000002-240-400000000000000-20002000000000000000
χ5744-44-2-44-4-44-2-2222-2-442-200000000000002-2-404000000000000002000-2000000000000000
χ5844-4-244-422-24-2-422-2-224-40000000000000-220000004-400000000000000000-220000000000
χ5944-4-244-422-24-2-422-2-224-40000000000000-22000000-44000000000000000002-20000000000
χ6044-4-24-4422-24-2-422-22-2-4400000000000002-200004-400000000000000000-22000000000000
χ6144-4-24-4422-24-2-422-22-2-4400000000000002-20000-44000000000000000002-2000000000000
χ6288-8-4-48-844-4-424-2-22-44-4400000000000002-20000000000000000000000000000000000000
χ6388-8-4-4-8844-4-424-2-224-44-40000000000000-220000000000000000000000000000000000000
χ648-80880000-8-88000-800000000000000000000000000000000000000000000000000000000
χ658-808-40000-84-40004000000000002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000
χ668-808-40000-84-4000400000000000−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000
χ678-80-48004i3−4i34-8-404i3−4i3400000000000000000000000000000000000000000000000000000000
χ688-80-4800−4i34i34-8-40−4i34i3400000000000000000000000000000000000000000000000000000000
χ698-80-4-4004i3−4i34420−2i32i3-2000000000002i3−2i33−i3−3+i3−3−i33+i3000000000000000000000000000000000000000
χ708-80-4-4004i3−4i34420−2i32i3-200000000000−2i32i3−3+i33−i33+i3−3−i3000000000000000000000000000000000000000
χ718-80-4-400−4i34i344202i3−2i3-2000000000002i3−2i3−3−i33+i33−i3−3+i3000000000000000000000000000000000000000
χ728-80-4-400−4i34i344202i3−2i3-200000000000−2i32i33+i3−3−i3−3+i33−i3000000000000000000000000000000000000000

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