Finite Group Databasebeta

← Group #11778402

Character table — Group #11778402

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444444444488888888888888888888888824242424242424242424242424242424363648484848727272
order1222223366666634466666666666121212124412121212121212121212121212121212121212121212244488882424242424242424446121212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ511111111111111111111111111111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1
χ611111111111111111111111111111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-111
χ711111111111111111111111111111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-111
χ811111111111111111111111111111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1-1
χ9222222222222222-2-222222222222-2-2-2-200-20000-20000-2-2-2-2000000000000000000000000220000-200
χ10222222222222222-2-222222222222-2-2-2-200-20000-20000-2-2-2-2000000000000000000000000-2-20000200
χ112222222-12-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1000000-1-100000
χ122222222-12-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011110000001100000
χ132222222-12-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-111112-2-2-2-2-1-1-1-1111111112200-2-2001111000000-1-100000
χ142222222-12-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-111112-2-2-2-2-1-1-1-111111111-2-2002200-1-1-1-10000001100000
χ15222222-12-12-122-1-122-1-122-1-1-1-1-1-1-122-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1000
χ16222222-12-12-122-1-122-1-122-1-1-1-1-1-1-122-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200001111000011000
χ17222222-12-12-122-1-122-1-122-1-1-1-1-1-1-122-1-1-2-22-2-2-2-2-11111-1-1-1-111111111002200-2-2000011110000-1-1000
χ18222222-12-12-122-1-122-1-122-1-1-1-1-1-1-122-1-1-2-22-2-2-2-2-11111-1-1-1-11111111100-2-200220000-1-1-1-1000011000
χ192222-2-22222222222-2-2-2-2-222-2-2-2-2222-2-200-200002000022-2-2000000002-200000000000000002-200000
χ202222-2-22222222222-2-2-2-2-222-2-2-2-2222-2-200-200002000022-2-200000000-220000000000000000-2200000
χ212222-2-2222222222-22-2-2-2-222-2-2-2-22-2-2220020000-20000-2-22200000000002-20000000000000000-22000
χ222222-2-2222222222-22-2-2-2-222-2-2-2-22-2-2220020000-20000-2-2220000000000-2200000000000000002-2000
χ232222-2-22-12-12-1-12-12-2-2-211-1-11111-1-1-1-2-2001−i3−i3i3i320000-1-111−i3−i3−i3−i3i3i3i3i32-2000000−i3−i3i3i3000000-1100000
χ242222-2-22-12-12-1-12-12-2-2-211-1-11111-1-1-1-2-2001−i3−i3i3i320000-1-111−i3−i3−i3−i3i3i3i3i3-22000000i3i3−i3−i30000001-100000
χ252222-2-22-12-12-1-12-12-2-2-211-1-11111-1-1-1-2-2001i3i3−i3−i320000-1-111i3i3i3i3−i3−i3−i3−i32-2000000i3i3−i3−i3000000-1100000
χ262222-2-22-12-12-1-12-12-2-2-211-1-11111-1-1-1-2-2001i3i3−i3−i320000-1-111i3i3i3i3−i3−i3−i3−i3-22000000−i3−i3i3i30000001-100000
χ272222-2-2-12-12-122-1-1-2211-2-2-1-11111-1-2-2-1-100200001−i3−i3i3i311-1-1−i3−i3i3i3−i3−i3i3i3002-200000000−i3−i3i3i300001-1000
χ282222-2-2-12-12-122-1-1-2211-2-2-1-11111-1-2-2-1-100200001−i3−i3i3i311-1-1−i3−i3i3i3−i3−i3i3i300-2200000000i3i3−i3−i30000-11000
χ292222-2-2-12-12-122-1-1-2211-2-2-1-11111-1-2-2-1-100200001i3i3−i3−i311-1-1i3i3−i3−i3i3i3−i3−i3002-200000000i3i3−i3−i300001-1000
χ302222-2-2-12-12-122-1-1-2211-2-2-1-11111-1-2-2-1-100200001i3i3−i3−i311-1-1i3i3−i3−i3i3i3−i3−i300-2200000000−i3−i3i3i30000-11000
χ3122-2-2-22222-2-22-2-22002-22-22-222-2-2-200000000000000000000000000000000−i2i22−2−i2i2−i2i22−22−22i−2i0000000
χ3222-2-2-22222-2-22-2-22002-22-22-222-2-2-200000000000000000000000000000000−i2i2−22−i2i2−i2i2−22−22−2i2i0000000
χ3322-2-2-22222-2-22-2-22002-22-22-222-2-2-200000000000000000000000000000000i2−i22−2i2−i2i2−i22−22−2−2i2i0000000
χ3422-2-2-22222-2-22-2-22002-22-22-222-2-2-200000000000000000000000000000000i2−i2−22i2−i2i2−i2−22−222i−2i0000000
χ354444444-24-24-2-24-2-4-444-2-2-2-2-2-2-2-2-222-4-40020000-400002222000000000000000000000000000000000
χ36444444-24-24-244-2-2-4-4-2-244-2-2-2-2-2-2-2-4-42200-40000200002222000000000000000000000000000000000
χ37444444-2-2-2-2-2-2-2-2144-2-2-2-21111111-2-2-2-244-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000
χ38444444-2-2-2-2-2-2-2-2144-2-2-2-21111111-2-2-2-2-4-4-22222-222221111-1-1-1-1-1-1-1-10000000000000000000000000
χ39444444-2-2-2-2-2-2-2-21-4-4-2-2-2-211111112222002000020000-1-1-1-133-3-3-3-3330000000000000000000000000
χ40444444-2-2-2-2-2-2-2-21-4-4-2-2-2-211111112222002000020000-1-1-1-1-3-33333-3-30000000000000000000000000
χ414444-4-44-24-24-2-24-2-44-4-422-2-22222-2224400-20000-4000022-2-2000000000000000000000000000000000
χ424444-4-4-24-24-244-2-24-422-4-4-2-22222-2442200-40000-20000-2-222000000000000000000000000000000000
χ434444-4-4-2-2-2-2-2-2-2-214-4222211-1-1-1-11-2-222002−2i3−2i32i32i3-2000011-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000000
χ444444-4-4-2-2-2-2-2-2-2-214-4222211-1-1-1-11-2-2220022i32i3−2i3−2i3-2000011-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000000
χ454444-4-4-2-2-2-2-2-2-2-21-44222211-1-1-1-1122-2-200-200002−2i3−2i32i32i3-1-111i3i3−i3−i3i3i3−i3−i30000000000000000000000000
χ464444-4-4-2-2-2-2-2-2-2-21-44222211-1-1-1-1122-2-200-2000022i32i3−2i3−2i3-1-111−i3−i3i3i3−i3−i3i3i30000000000000000000000000
χ4744-4-44-4444-4-44-4-4400-44-444-4-4-444-400000000000000000000000000000000000000000000000000000
χ4844-4-44-44-242-4-22-4-200-442-2-2222-2-220000000000000000000000000000000000006−6−660000000000000
χ4944-4-44-44-242-4-22-4-200-442-2-2222-2-22000000000000000000000000000000000000−666−60000000000000
χ5044-4-44-4-24-2-424-42-2002-2-44-2222-2-220000000000000000000000000000000000000000i6−i6−i6i6000000000
χ5144-4-44-4-24-2-424-42-2002-2-44-2222-2-220000000000000000000000000000000000000000−i6i6i6−i6000000000
χ5244-4-4-444-242-4-22-4-2004-4-22-22-2-222200000000000000000000000000000000−2i22i200i2−i2i2−i20000000000000
χ5344-4-4-444-242-4-22-4-2004-4-22-22-2-2222000000000000000000000000000000002i2−2i200−i2i2−i2i20000000000000
χ5444-4-4-44-24-2-424-42-200-224-4-22-2-2222000000000000000000000000000000000022−220000−22−22000000000
χ5544-4-4-44-24-2-424-42-200-224-4-22-2-22220000000000000000000000000000000000−222200002−22−2000000000
χ564-44-40044-4-4-4-4444000000-4-40000400002-202-22-202-22-200002-22-22-22-20000000000000000000000000
χ574-44-40044-4-4-4-4444000000-4-4000040000-220-22-220-22-220000-22-22-22-220000000000000000000000000
χ584-44-4004-2-42-42-24-2000000220000-2−2i32i3002-20−1−i31+i3−1+i31−i302-22-2−2i32i300−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000000000000000000000000
χ594-44-4004-2-42-42-24-2000000220000-2−2i32i300-2201+i3−1−i31−i3−1+i30-22-22−2i32i3001+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000000000000000000000000
χ604-44-4004-2-42-42-24-2000000220000-22i3−2i3002-20−1+i31−i3−1−i31+i302-22-22i3−2i300−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000000000000000000000000
χ614-44-4004-2-42-42-24-2000000220000-22i3−2i300-2201−i3−1+i31+i3−1−i30-22-222i3−2i3001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000000000000000000000000
χ624-44-400-242-42-44-2-2000000220000-200−2i32i32-202-22-20−1−i31+i3−1+i31−i300−2i32i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i30000000000000000000000000
χ634-44-400-242-42-44-2-2000000220000-200−2i32i3-220-22-2201+i3−1−i31−i3−1+i300−2i32i31+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i30000000000000000000000000
χ644-44-400-242-42-44-2-2000000220000-2002i3−2i32-202-22-20−1+i31−i3−1−i31+i3002i3−2i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i30000000000000000000000000
χ654-44-400-242-42-44-2-2000000220000-2002i3−2i3-220-22-2201−i3−1+i31+i3−1−i3002i3−2i31−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i30000000000000000000000000
χ664-44-400-2-22222-2-21000000-1-13-33-31−2i32i3−2i32i32-20−1−i31+i3−1+i31−i30−1−i31+i3−1+i31−i3i3−i3i3−i32+i3−2−i3-11-112−i3−2+i30000000000000000000000000
χ674-44-400-2-22222-2-21000000-1-13-33-31−2i32i3−2i32i3-2201+i3−1−i31−i3−1+i301+i3−1−i31−i3−1+i3i3−i3i3−i3−2−i32+i31-11-1−2+i32−i30000000000000000000000000
χ684-44-400-2-22222-2-21000000-1-13-33-312i3−2i32i3−2i32-20−1+i31−i3−1−i31+i30−1+i31−i3−1−i31+i3−i3i3−i3i32−i3−2+i3-11-112+i3−2−i30000000000000000000000000
χ694-44-400-2-22222-2-21000000-1-13-33-312i3−2i32i3−2i3-2201−i3−1+i31+i3−1−i301−i3−1+i31+i3−1−i3−i3i3−i3i3−2+i32−i31-11-1−2−i32+i30000000000000000000000000
χ704-44-400-2-22222-2-21000000-1-1-33-331−2i32i32i3−2i32-20−1−i31+i3−1+i31−i30−1+i31−i3−1−i31+i3i3−i3−i3i3-112+i3−2−i32−i3−2+i3-110000000000000000000000000
χ714-44-400-2-22222-2-21000000-1-1-33-331−2i32i32i3−2i3-2201+i3−1−i31−i3−1+i301−i3−1+i31+i3−1−i3i3−i3−i3i31-1−2−i32+i3−2+i32−i31-10000000000000000000000000
χ724-44-400-2-22222-2-21000000-1-1-33-3312i3−2i3−2i32i32-20−1+i31−i3−1−i31+i30−1−i31+i3−1+i31−i3−i3i3i3−i3-112−i3−2+i32+i3−2−i3-110000000000000000000000000
χ734-44-400-2-22222-2-21000000-1-1-33-3312i3−2i3−2i32i3-2201−i3−1+i31+i3−1−i301+i3−1−i31−i3−1+i3−i3i3i3−i31-1−2+i32−i3−2−i32+i31-10000000000000000000000000
χ744-4-440044-444-4-4-44000000-440000-40000000000000000000000000000000000000000000000000002i−2i
χ754-4-440044-444-4-4-44000000-440000-4000000000000000000000000000000000000000000000000000−2i2i
χ7688-8-88-8-4-4-444-4442004-44-42-2-2-222-200000000000000000000000000000000000000000000000000000
χ7788-8-8-88-4-4-444-444200-44-442-222-2-2-200000000000000000000000000000000000000000000000000000
χ788-8-88008-4-8-4844-8-40000004-40000400000000000000000000000000000000000000000000000000000
χ798-8-8800-4848-4-8-84-40000004-40000400000000000000000000000000000000000000000000000000000
χ808-8-8800-4-44-4-44442000000-226-6-66-200000000000000000000000000000000000000000000000000000
χ818-8-8800-4-44-4-44442000000-22-666-6-200000000000000000000000000000000000000000000000000000

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