Finite Group Databasebeta

← Group #11867871

Character table — Group #11867871

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222444446688888888121212242422444448888812121616161616161616242424484833666661212121212181824242424242424243636367272
order12234462461212884681212122424888283663121266126121224241262412121224242424246242226446246121288468121212242488828
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-11-11-1-1-1-1111-1-111111111111111-11-11-1-1-1-1111-1-111111111111111-11-11-1-1-1-1111-1-1
χ3111111111111-1-111111111-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1
χ4111111111111-1-1-11-11-1-1-1-1-1-1-111111111111111-1-1-11-11-1-1-1-1-1-1-111111111111111-1-1-11-11-1-1-1-1-1-1-111
χ51111111-1-1111111-1-1-111-1-11-1-11-11111111-1-1111111-1-1-111-1-11-1-11-11111111-1-1111111-1-1-111-1-11-1-11-1
χ61111111-1-111111-1-11-1-1-1111-1-1-111111111-1-111111-1-11-1-1-1111-1-1-111111111-1-111111-1-11-1-1-1111-1-1-11
χ71111111-1-1111-1-11-1-1-111-1-1-111-111111111-1-1111-1-11-1-1-111-1-1-111-111111111-1-1111-1-11-1-1-111-1-1-111-11
χ81111111-1-1111-1-1-1-11-1-1-111-1111-11111111-1-1111-1-1-1-11-1-1-111-1111-11111111-1-1111-1-1-1-11-1-1-111-1111-1
χ92222-2-22002-2-2000000000002i−2i002222-2-22002-2-2000000000002i−2i002222-2-22002-2-2000000000002i−2i00
χ102222-2-22002-2-200000000000−2i2i002222-2-22002-2-200000000000−2i2i002222-2-22002-2-200000000000−2i2i00
χ11222-122-122-1-1-1002-12-1-1-1-1-100000222-122-122-1-1-1002-12-1-1-1-1-100000222-122-122-1-1-1002-12-1-1-1-1-100000
χ12222-122-122-1-1-100-2-1-2-1111100000222-122-122-1-1-100-2-1-2-1111100000222-122-122-1-1-100-2-1-2-1111100000
χ13222-122-1-2-2-1-1-10021-21-1-11100000222-122-1-2-2-1-1-10021-21-1-11100000222-122-1-2-2-1-1-10021-21-1-11100000
χ14222-122-1-2-2-1-1-100-212111-1-100000222-122-1-2-2-1-1-100-212111-1-100000222-122-1-2-2-1-1-100-212111-1-100000
χ1522-222-222-2-2-2200020-200000000022-222-222-2-2-2200020-200000000022-222-222-2-2-2200020-2000000000
χ1622-222-22-22-2-22000-20200000000022-222-22-22-2-22000-20200000000022-222-22-22-2-22000-202000000000
χ1722-22-22200-22-22200000000-2000022-22-22200-22-22200000000-2000022-22-22200-22-22200000000-20000
χ1822-22-22200-22-2-2-2000000002000022-22-22200-22-2-2-2000000002000022-22-22200-22-2-2-20000000020000
χ1922-2-12-2-12-211-1000-101−i3i3−i3i30000022-2-12-2-12-211-1000-101−i3i3−i3i30000022-2-12-2-12-211-1000-101−i3i3−i3i300000
χ2022-2-12-2-12-211-1000-101i3−i3i3−i30000022-2-12-2-12-211-1000-101i3−i3i3−i30000022-2-12-2-12-211-1000-101i3−i3i3−i300000
χ2122-2-12-2-1-2211-100010-1−i3i3i3−i30000022-2-12-2-1-2211-100010-1−i3i3i3−i30000022-2-12-2-1-2211-100010-1−i3i3i3−i300000
χ2222-2-12-2-1-2211-100010-1i3−i3−i3i30000022-2-12-2-1-2211-100010-1i3−i3−i3i30000022-2-12-2-1-2211-100010-1i3−i3−i3i300000
χ23444-2-4-4-200-222000000000000000444-2-4-4-200-222000000000000000444-2-4-4-200-222000000000000000
χ2444-4-2-44-2002-2200000000000000044-4-2-44-2002-2200000000000000044-4-2-44-2002-22000000000000000
χ254-40400-400000−2i22i200000000000004-40400-400000−2i22i200000000000004-40400-400000−2i22i20000000000000
χ264-40400-4000002i2−2i200000000000004-40400-4000002i2−2i200000000000004-40400-4000002i2−2i20000000000000
χ278-80-4004000000000000000000008-80-4004000000000000000000008-80-400400000000000000000000
χ28111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2911111111111111-11-11-1-1-1-1111-1-111111111111111-11-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-111
χ30111111111111-1-111111111-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ31111111111111-1-1-11-11-1-1-1-1-1-1-111111111111111-1-1-11-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-11-11111111-1-1
χ321111111-1-1111111-1-1-111-1-11-1-11-11111111-1-1111111-1-1-111-1-11-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-111-11
χ331111111-1-111111-1-11-1-1-1111-1-1-111111111-1-111111-1-11-1-1-1111-1-1-11-1-1-1-1-1-1-111-1-1-1-1-111-1111-1-1-1111-1
χ341111111-1-1111-1-11-1-1-111-1-1-111-111111111-1-1111-1-11-1-1-111-1-1-111-11-1-1-1-1-1-1-111-1-1-111-1111-1-1111-1-11-1
χ351111111-1-1111-1-1-1-11-1-1-111-1111-11111111-1-1111-1-1-1-11-1-1-111-1111-1-1-1-1-1-1-1-111-1-1-11111-1111-1-11-1-1-11
χ362222-2-22002-2-2000000000002i−2i002222-2-22002-2-2000000000002i−2i00-2-2-2-222-200-22200000000000−2i2i00
χ372222-2-22002-2-200000000000−2i2i002222-2-22002-2-200000000000−2i2i00-2-2-2-222-200-222000000000002i−2i00
χ38222-122-122-1-1-1002-12-1-1-1-1-100000222-122-122-1-1-1002-12-1-1-1-1-100000-2-2-21-2-21-2-211100-21-21111100000
χ39222-122-122-1-1-100-2-1-2-1111100000222-122-122-1-1-100-2-1-2-1111100000-2-2-21-2-21-2-2111002121-1-1-1-100000
χ40222-122-1-2-2-1-1-10021-21-1-11100000222-122-1-2-2-1-1-10021-21-1-11100000-2-2-21-2-212211100-2-12-111-1-100000
χ41222-122-1-2-2-1-1-100-212111-1-100000222-122-1-2-2-1-1-100-212111-1-100000-2-2-21-2-2122111002-1-2-1-1-11100000
χ4222-222-222-2-2-2200020-200000000022-222-222-2-2-2200020-2000000000-2-22-2-22-2-2222-2000-202000000000
χ4322-222-22-22-2-22000-20200000000022-222-22-22-2-22000-202000000000-2-22-2-22-22-222-200020-2000000000
χ4422-22-22200-22-22200000000-2000022-22-22200-22-22200000000-20000-2-22-22-2-2002-22-2-20000000020000
χ4522-22-22200-22-2-2-2000000002000022-22-22200-22-2-2-20000000020000-2-22-22-2-2002-222200000000-20000
χ4622-2-12-2-12-211-1000-101−i3i3−i3i30000022-2-12-2-12-211-1000-101−i3i3−i3i300000-2-221-221-22-1-1100010-1i3−i3i3−i300000
χ4722-2-12-2-12-211-1000-101i3−i3i3−i30000022-2-12-2-12-211-1000-101i3−i3i3−i300000-2-221-221-22-1-1100010-1−i3i3−i3i300000
χ4822-2-12-2-1-2211-100010-1−i3i3i3−i30000022-2-12-2-1-2211-100010-1−i3i3i3−i300000-2-221-2212-2-1-11000-101i3−i3−i3i300000
χ4922-2-12-2-1-2211-100010-1i3−i3−i3i30000022-2-12-2-1-2211-100010-1i3−i3−i3i300000-2-221-2212-2-1-11000-101−i3i3i3−i300000
χ50444-2-4-4-200-222000000000000000444-2-4-4-200-222000000000000000-4-4-42442002-2-2000000000000000
χ5144-4-2-44-2002-2200000000000000044-4-2-44-2002-22000000000000000-4-4424-4200-22-2000000000000000
χ524-40400-400000−2i22i200000000000004-40400-400000−2i22i20000000000000-440-4004000002i2−2i20000000000000
χ534-40400-4000002i2−2i200000000000004-40400-4000002i2−2i20000000000000-440-400400000−2i22i20000000000000
χ548-80-4004000000000000000000008-80-400400000000000000000000-880400-400000000000000000000
χ55222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000
χ5622222222222222-22-22-2-2-2-2222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-111000000000000000000000000000
χ57222222222222-2-222222222-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111000000000000000000000000000
χ58222222222222-2-2-22-22-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1111-11-11111111-1-1000000000000000000000000000
χ592222222-2-2222222-2-2-222-2-22-2-22-2-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-111-11000000000000000000000000000
χ602222222-2-222222-2-22-2-2-2222-2-2-22-1-1-1-1-1-1-111-1-1-1-1-111-1111-1-1-1111-1000000000000000000000000000
χ612222222-2-2222-2-22-2-2-222-2-2-222-22-1-1-1-1-1-1-111-1-1-111-1111-1-1111-1-11-1000000000000000000000000000
χ622222222-2-2222-2-2-2-22-2-2-222-2222-2-1-1-1-1-1-1-111-1-1-11111-1111-1-11-1-1-11000000000000000000000000000
χ634444-4-44004-4-4000000000004i−4i00-2-2-2-222-200-22200000000000−2i2i00000000000000000000000000000
χ644444-4-44004-4-400000000000−4i4i00-2-2-2-222-200-222000000000002i−2i00000000000000000000000000000
χ65444-244-244-2-2-2004-24-2-2-2-2-200000-2-2-21-2-21-2-211100-21-21111100000000000000000000000000000000
χ66444-244-244-2-2-200-4-2-4-2222200000-2-2-21-2-21-2-2111002121-1-1-1-100000000000000000000000000000000
χ67444-244-2-4-4-2-2-20042-42-2-22200000-2-2-21-2-212211100-2-12-111-1-100000000000000000000000000000000
χ68444-244-2-4-4-2-2-200-424222-2-200000-2-2-21-2-2122111002-1-2-1-1-11100000000000000000000000000000000
χ6944-444-444-4-4-4400040-4000000000-2-22-2-22-2-2222-2000-202000000000000000000000000000000000000
χ7044-444-44-44-4-44000-404000000000-2-22-2-22-22-222-200020-2000000000000000000000000000000000000
χ7144-44-44400-44-44400000000-40000-2-22-22-2-2002-22-2-20000000020000000000000000000000000000000
χ7244-44-44400-44-4-4-40000000040000-2-22-22-2-2002-222200000000-20000000000000000000000000000000
χ7344-4-24-4-24-422-2000-202−2i32i3−2i32i300000-2-221-221-22-1-1100010-1i3−i3i3−i300000000000000000000000000000000
χ7444-4-24-4-24-422-2000-2022i3−2i32i3−2i300000-2-221-221-22-1-1100010-1−i3i3−i3i300000000000000000000000000000000
χ7544-4-24-4-2-4422-200020-2−2i32i32i3−2i300000-2-221-2212-2-1-11000-101i3−i3−i3i300000000000000000000000000000000
χ7644-4-24-4-2-4422-200020-22i3−2i3−2i32i300000-2-221-2212-2-1-11000-101−i3i3i3−i300000000000000000000000000000000
χ77888-4-8-8-400-444000000000000000-4-4-42442002-2-2000000000000000000000000000000000000000000
χ7888-8-4-88-4004-44000000000000000-4-4424-4200-22-2000000000000000000000000000000000000000000
χ798-80800-800000−4i24i20000000000000-440-4004000002i2−2i20000000000000000000000000000000000000000
χ808-80800-8000004i2−4i20000000000000-440-400400000−2i22i20000000000000000000000000000000000000000
χ8116-160-800800000000000000000000-880400-400000000000000000000000000000000000000000000000

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