Finite Group Databasebeta

← Group #11865154

Character table — Group #11865154

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222222244444444444666688888888888888888812121212121212121212161616161624242424242424242424242424243636363648487272
order122334466662236666121212122244246666661212121212121212121222444466121266666246666881212121212122244242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111111111-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-1-1-111111111111111111111-1-111-1-1-1-111111-1-111-1-111-1-111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1
χ911111111111-1-111111111111111-1-1-1-1-111-1-111-1-1-1-1-1-11-1-1-11-111111-1-1111-11-1111-1-1-11-1-1-11-11-11-11-1
χ1011111111111-1-111111111111111-1-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1111111-1-1111-1-1111-11-1-1-11-1-1-11-11-11-11
χ1111111111111-1-11111111111111-11-1-1-1-1-1-111111111111-1-1-11-11111-1-1-1-1-1-111-1-1-1-11111-1-1-11-11-1-11-11
χ1211111111111-1-11111111111111-11-1-1-1-1-1-11111111111-11-1-1-111111-1-1-1-1-1-11-11-1-11-111-11-1-1-11-111-11-1
χ1311111111111-1-1111111111-1-1-1-11-1-1-1-1-111-1-111-1-1-1-1-1-11-1111-1-1-1-1-11-1-111-111-1-1-11-1111-111-11-111-1-11
χ1411111111111-1-1111111111-1-1-1-11-1-1-1-1-111-1-111-1-1-1-1-1-1-1111-11-1-1-1-11-1-111-11-11-1-1-1111-11111-11-1-111-1
χ1511111111111-1-1111111111-1-1-1-1-11-1-1-1-1-1-111111111111-1111-1-1-1-1-1-1-1-1-1-11-11-111-11-1-11-111-11-11-111-1
χ1611111111111-1-1111111111-1-1-1-1-11-1-1-1-1-1-11111111111-1111-11-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-11-11-1-11
χ1722222-2-222222-222222-2-2-2-222-2-2002-22-20000-2-2000000002-20022-2-202-2000000000000002-200000000
χ1822222-2-222222-222222-2-2-2-2-2-222002-22-20000-2-200000000-2200-2-22202-200000000000000-2200000000
χ1922222-2-22222-2222222-2-2-2-222-2-200-22-220000-2-200000000-220022-2-20-2200000000000000-2200000000
χ2022222-2-22222-2222222-2-2-2-2-2-22200-22-220000-2-2000000002-200-2-2220-22000000000000002-200000000
χ212222-122-1-12-122-12-1-1-1-1-12222222222-1-1-1-1-1-1-1-122-1-1-1-1002200-1-1-1-12-1-1-1-12200-1-100-1-100-1-100000000
χ222222-122-1-12-122-12-1-1-1-1-1222222-2-222-1-11111-1-1-2-21111002200-1-1-1-1-2-1-111-2-20011001100-1-100000000
χ232222-122-1-12-122-12-1-1-1-1-122-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-100-2-20011112-1-1-1-1-2-200110011001100000000
χ242222-122-1-12-122-12-1-1-1-1-122-2-2-2-2-2-222-1-11111-1-1-2-2111100-2-2001111-2-1-1112200-1-100-1-1001100000000
χ252222-122-1-12-1-2-2-12-1-1-1-1-12222222-2-2-211-1-111-1-1-2-2111100-2-200-1-1-1-1211-1-12-200-1-10011001100000000
χ262222-122-1-12-1-2-2-12-1-1-1-1-1222222-22-2-21111-1-1-1-122-1-1-1-100-2-200-1-1-1-1-21111-22001100-1-1001100000000
χ272222-122-1-12-1-2-2-12-1-1-1-1-122-2-2-2-22-2-2-211-1-111-1-1-2-211110022001111211-1-1-22001100-1-100-1-100000000
χ282222-122-1-12-1-2-2-12-1-1-1-1-122-2-2-2-2-22-2-21111-1-1-1-122-1-1-1-10022001111-211112-200-1-1001100-1-100000000
χ292222-1-2-2-1-12-12-2-12-1-1-111-2-222-2-2002-2-11i3−i3i3−i31100i3i3−i3−i3002-200-1-1110-11i3−i30000i3−i300i3−i300-1100000000
χ302222-1-2-2-1-12-12-2-12-1-1-111-2-222-2-2002-2-11−i3i3−i3i31100−i3−i3i3i3002-200-1-1110-11−i3i30000−i3i300−i3i300-1100000000
χ312222-1-2-2-1-12-12-2-12-1-1-111-2-2-2-222002-2-11i3−i3i3−i31100i3i3−i3−i300-220011-1-10-11i3−i30000−i3i300−i3i3001-100000000
χ322222-1-2-2-1-12-12-2-12-1-1-111-2-2-2-222002-2-11−i3i3−i3i31100−i3−i3i3i300-220011-1-10-11−i3i30000i3−i300i3−i3001-100000000
χ332222-1-2-2-1-12-1-22-12-1-1-111-2-222-2-200-221-1i3−i3−i3i31100−i3−i3i3i300-2200-1-11101-1i3−i30000i3−i300−i3i3001-100000000
χ342222-1-2-2-1-12-1-22-12-1-1-111-2-222-2-200-221-1−i3i3i3−i31100i3i3−i3−i300-2200-1-11101-1−i3i30000−i3i300i3−i3001-100000000
χ352222-1-2-2-1-12-1-22-12-1-1-111-2-2-2-22200-221-1i3−i3−i3i31100−i3−i3i3i3002-20011-1-101-1i3−i30000−i3i300i3−i300-1100000000
χ362222-1-2-2-1-12-1-22-12-1-1-111-2-2-2-22200-221-1−i3i3i3−i31100i3i3−i3−i3002-20011-1-101-1−i3i30000i3−i300−i3i300-1100000000
χ37222-122222-1222-1-1-1-1-122-1-1000022-1-1222222-1-1-1-1-1-1-1-12200220000-1-1-1-1-100-1-1002200-1-1000000-1-100
χ38222-122222-1222-1-1-1-1-122-1-1000022-1-1222222-1-1-1-1-1-1-1-1-2-200-2-20000-1-1-1-1-1001100-2-200110000001100
χ39222-122222-1222-1-1-1-1-122-1-10000-2-2-1-122-2-2-2-2-1-111111122002200001-1-11100-1-100-2-200-1-10000001100
χ40222-122222-1222-1-1-1-1-122-1-10000-2-2-1-122-2-2-2-2-1-1111111-2-200-2-200001-1-111001100220011000000-1-100
χ41222-122222-12-2-2-1-1-1-1-122-1-100002-211-2-222-2-2-1-11111112-2002-20000-111-1-100-11002-200-11000000-1100
χ42222-122222-12-2-2-1-1-1-1-122-1-100002-211-2-222-2-2-1-1111111-2200-220000-111-1-1001-100-22001-10000001-100
χ43222-122222-12-2-2-1-1-1-1-122-1-10000-2211-2-2-2-222-1-1-1-1-1-1-1-12-2002-200001111100-1100-2200-110000001-100
χ44222-122222-12-2-2-1-1-1-1-122-1-10000-2211-2-2-2-222-1-1-1-1-1-1-1-1-2200-22000011111001-1002-2001-1000000-1100
χ4522-2222-2-2-222002-22-2-22-22-22-22-200000000002-200000002000-22-22-20000000020000000-200020-20000
χ4622-2222-2-2-222002-22-2-22-22-22-22-200000000002-20000000-200022-22-200000000-200000002000-2020000
χ4722-2222-2-2-222002-22-2-22-22-2-22-2200000000002-200000002000-2-22-220000000020000000-2000-2020000
χ4822-2222-2-2-222002-22-2-22-22-2-22-2200000000002-20000000-20002-22-2200000000-20000000200020-20000
χ4922-222-22-2-222002-22-2-2-22-222-2-220000000000-220000002000-202-2-22000000020000000-2000-20200000
χ5022-222-22-2-222002-22-2-2-22-222-2-220000000000-22000000-2000202-2-220000000-20000000200020-200000
χ5122-222-22-2-222002-22-2-2-22-22-222-20000000000-220000002000-20-222-2000000020000000-200020-200000
χ5222-222-22-2-222002-22-2-2-22-22-222-20000000000-22000000-200020-222-20000000-200000002000-20200000
χ53444-24-4-444-244-4-2-2-2-2-2-4-422000000-224-400002200000000000000000-22000000000000000000000000
χ54444-24-4-444-24-44-2-2-2-2-2-4-4220000002-2-44000022000000000000000002-2000000000000000000000000
χ55444-2-244-2-2-2-2441-2111-2-2-2-2000044-2-2-2-2-2-2-2-211-2-211110000000000-211110000000000000000000000
χ56444-2-244-2-2-2-2441-2111-2-2-2-20000-4-4-2-2-2-222221122-1-1-1-10000000000211-1-10000000000000000000000
χ57444-2-244-2-2-2-2-4-41-2111-2-2-2-200004-42222-2-2221122-1-1-1-10000000000-2-1-1110000000000000000000000
χ58444-2-244-2-2-2-2-4-41-2111-2-2-2-20000-44222222-2-211-2-2111100000000002-1-1-1-10000000000000000000000
χ59444-2-2-4-4-2-2-2-24-41-21112222000000-22-222i3−2i32i3−2i3-1-100−i3−i3i3i3000000000001-1−i3i30000000000000000000000
χ60444-2-2-4-4-2-2-2-24-41-21112222000000-22-22−2i32i3−2i32i3-1-100i3i3−i3−i3000000000001-1i3−i30000000000000000000000
χ61444-2-2-4-4-2-2-2-2-441-211122220000002-22-22i3−2i3−2i32i3-1-100i3i3−i3−i300000000000-11−i3i30000000000000000000000
χ62444-2-2-4-4-2-2-2-2-441-211122220000002-22-2−2i32i32i3−2i3-1-100−i3−i3i3i300000000000-11i3−i30000000000000000000000
χ6344-44-24-4224-200-2-4-222-224-44-44-40000000000-22000000000000-22-22000000000000000000000000000
χ6444-44-24-4224-200-2-4-222-224-4-44-440000000000-220000000000002-22-2000000000000000000000000000
χ6544-44-2-44224-200-2-4-2222-2-444-4-4400000000002-2000000000000-222-2000000000000000000000000000
χ6644-44-2-44224-200-2-4-2222-2-44-444-400000000002-20000000000002-2-22000000000000000000000000000
χ6744-4-244-4-4-4-2400-22-2224-4-2200000000000000-2200000004000-4000000000000-2000000020000000000
χ6844-4-244-4-4-4-2400-22-2224-4-2200000000000000-220000000-4000400000000000020000000-20000000000
χ6944-4-24-44-4-4-2400-22-222-442-2000000000000002-20000004000-4000000000000-20000000200000000000
χ7044-4-24-44-4-4-2400-22-222-442-2000000000000002-2000000-4000400000000000020000000-200000000000
χ7188-8-4-48-844-4-400242-2-2-44-44000000000000002-20000000000000000000000000000000000000000000
χ7288-8-4-4-8844-4-400242-2-24-44-400000000000000-220000000000000000000000000000000000000000000
χ738-80880000-8-80080-800000000000000000000000000000000000000000000000000000000000000000
χ748-808-4004i3−4i3-8400-4044i3−4i3000000000000000000000000000000000000000000000000000000000000000
χ758-808-400−4i34i3-8400-404−4i34i3000000000000000000000000000000000000000000000000000000000000000
χ768-80-4800004-800-40400000000000000000000002i3−2i32i3−2i32i3−2i30000000000000000000000000000000000000
χ778-80-4800004-800-4040000000000000000000000−2i32i3−2i32i3−2i32i30000000000000000000000000000000000000
χ788-80-4-4004i3−4i3440020-2−2i32i3000000000000000000002i3−2i33−i3−3+i3−3−i33+i30000000000000000000000000000000000000
χ798-80-4-4004i3−4i3440020-2−2i32i300000000000000000000−2i32i3−3+i33−i33+i3−3−i30000000000000000000000000000000000000
χ808-80-4-400−4i34i3440020-22i3−2i3000000000000000000002i3−2i3−3−i33+i33−i3−3+i30000000000000000000000000000000000000
χ818-80-4-400−4i34i3440020-22i3−2i300000000000000000000−2i32i33+i3−3−i3−3+i33−i30000000000000000000000000000000000000

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