Finite Group Databasebeta

← Group #11867190

Character table — Group #11867190

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222244444444444444666666668888888888888812121212121212121212121212121212161616161616242424242424242424243636363648487272
order122233446666663666881212121224242424222244442466121212122424242424246666888812121212242424246661212122444121212122424248861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111-1-111-1-11111111111111111-1-111-1-1-1-111-1-1-1-1111111-11-11111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111111111-1-111-1-11111111111111111-1-111-1-11111-1-111111111111-11-1-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-111-1-111-1-1-1-1-1-111111111-1-111-1-11111-1-11111-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-1111111111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-1-11-11
χ10111111111111111111-1-11111-1-1-1-111111111-11-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-11-11-1
χ11111111111111111111-1-11111-1-1-1-111-1-111-1-11-111-1-111-1-1-1-1-1-111-1-1-1-111-1-1111111111-1-1-11-1-11-1-111-1-1-1-1111-11-1
χ12111111111111111111-1-11111-1-1-1-111-1-111-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1111-111-111-1-1-1-1-1-111-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-1-1-111-111-1-111-1-111-111-1
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-111-11-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-11111-1-11-1-11111-1-1111-1-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-111-1-111-1-11111-1-11-1-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-111-1-1111111-1-1-111-1
χ17222222-2-2222222222200-2-2-2-200002222-2-2-2-2000000-2-200000022220000-2-2-2-2000000000000000000002-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-222000000-2-200000022-2-2000022-2-200000000000000000000-22000000
χ19222222-2-2222222222200-2-2-2-20000-2-22222-2-2000000-2-2000000-2-2220000-2-22200000000000000000000-22000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-22222000000-2-2000000-2-2-2-200002222000000000000000000002-2000000
χ2122222-1222-1-12-12-1-1-1-122-12-12-1-1-1-100220022222222-1-122-1-1-1-100-1-10022-1-100-1-1-1-1-1-1-1-1-1-120200000000000-1-100
χ2222222-1222-1-12-12-1-1-1-122-12-12-1-1-1-100220022-2-2-2-2-2-2-1-122-1-1-1-100-1-10022-1-100-1-1-1-1111111-20-2000000000001100
χ2322222-1222-1-12-12-1-1-1-122-12-12-1-1-1-100-2-200-2-2222222-1-122-1-1-1-1001100-2-211001111-1-1-1-1-1-1-20-2000000000001100
χ2422222-1222-1-12-12-1-1-1-122-12-12-1-1-1-100-2-200-2-2-2-2-2-2-2-2-1-122-1-1-1-1001100-2-21100111111111120200000000000-1-100
χ2522222-1222-1-12-12-1-1-1-1-2-2-12-121111002200222-222-2-2-1-1-2-2111100-1-100-2-2-1-1001111-1-1-1111-202000000000001-100
χ2622222-1222-1-12-12-1-1-1-1-2-2-12-12111100220022-22-2-222-1-1-2-2111100-1-100-2-2-1-1001111111-1-1-120-200000000000-1100
χ2722222-1222-1-12-12-1-1-1-1-2-2-12-12111100-2-200-2-22-222-2-2-1-1-2-21111001100221100-1-1-1-1-1-1-111120-200000000000-1100
χ2822222-1222-1-12-12-1-1-1-1-2-2-12-12111100-2-200-2-2-22-2-222-1-1-2-21111001100221100-1-1-1-1111-1-1-1-202000000000001-100
χ292222-1222-122-12-1-1-1-1-1222-12-122222200220022-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000-1-100002-1-12-1-10202-1-1-1-1-1-100000000
χ302222-1222-122-12-1-1-1-1-1222-12-1222222002200-2-21111-1-1-1-1-1-1-1-1-1-100220000-1-10000-211-2110-20-21111-1-100000000
χ312222-1222-122-12-1-1-1-1-1222-12-12222-2-200-2-20022-1-1-1-1-1-1-1-1-1-1-1-11100-2-200001100002-1-12-1-10-20-211111100000000
χ322222-1222-122-12-1-1-1-1-1222-12-12222-2-200-2-200-2-21111-1-1-1-1-1-1-1-11100-2-20000110000-211-2110202-1-1-1-11100000000
χ332222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-2220022002-2-1-111-1-1111111-1-100-2-20000-1-100002-1-1-2110-20211-1-11100000000
χ342222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-222002200-2211-1-1-1-1111111-1-100-2-20000-1-10000-2112-1-1020-2-1-1111100000000
χ352222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-2-2-200-2-2002-2-1-111-1-111111111002200001100002-1-1-211020-2-1-111-1-100000000
χ362222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-2-2-200-2-200-2211-1-1-1-11111111100220000110000-2112-1-10-20211-1-1-1-100000000
χ372-2-22222-2-2-22-2-222-22-22i−2i22-2-22i2i−2i−2i2-2002-2000000002-22i−2i2i2i−2i−2i2-2002i−2i00002-20000000000000000002i−2i00000000
χ382-2-22222-2-2-22-2-222-22-22i−2i22-2-22i2i−2i−2i-2200-22000000002-22i−2i2i2i−2i−2i-2200−2i2i0000-22000000000000000000−2i2i00000000
χ392-2-22222-2-2-22-2-222-22-2−2i2i22-2-2−2i−2i2i2i2-2002-2000000002-2−2i2i−2i−2i2i2i2-200−2i2i00002-2000000000000000000−2i2i00000000
χ402-2-22222-2-2-22-2-222-22-2−2i2i22-2-2−2i−2i2i2i-2200-22000000002-2−2i2i−2i−2i2i2i-22002i−2i0000-220000000000000000002i−2i00000000
χ412-2-2222-22-2-22-2-222-22-200-2-22200002-200-2200000000-220000002-200002-200-2222-2-20000000000000000002-20000
χ422-2-2222-22-2-22-2-222-22-200-2-22200002-200-2200000000-220000002-20000-2200-22-2-222000000000000000000-220000
χ432-2-2222-22-2-22-2-222-22-200-2-2220000-22002-200000000-22000000-2200002-2002-222-2-2000000000000000000-220000
χ442-2-2222-22-2-22-2-222-22-200-2-2220000-22002-200000000-22000000-220000-22002-2-2-2220000000000000000002-20000
χ452-2-22-122-21-221-2-1-11-112i−2i2-1-212i2i−2i−2i2-2002-20000−i3i33−3-11−ii−i−iii-11002i−2i0000-1100000−i3i303−300003−3−i3i3−ii00000000
χ462-2-22-122-21-221-2-1-11-112i−2i2-1-212i2i−2i−2i2-2002-20000i3−i3−33-11−ii−i−iii-11002i−2i0000-1100000i3−i30−330000−33i3−i3−ii00000000
χ472-2-22-122-21-221-2-1-11-112i−2i2-1-212i2i−2i−2i-2200-220000−i3i33−3-11−ii−i−iii1-100−2i2i00001-100000−i3i303−30000−33i3−i3i−i00000000
χ482-2-22-122-21-221-2-1-11-112i−2i2-1-212i2i−2i−2i-2200-220000i3−i3−33-11−ii−i−iii1-100−2i2i00001-100000i3−i30−3300003−3−i3i3i−i00000000
χ492-2-22-122-21-221-2-1-11-11−2i2i2-1-21−2i−2i2i2i2-2002-20000−i3i3−33-11i−iii−i−i-1100−2i2i0000-1100000−i3i30−330000−33−i3i3i−i00000000
χ502-2-22-122-21-221-2-1-11-11−2i2i2-1-21−2i−2i2i2i2-2002-20000i3−i33−3-11i−iii−i−i-1100−2i2i0000-1100000i3−i303−300003−3i3−i3i−i00000000
χ512-2-22-122-21-221-2-1-11-11−2i2i2-1-21−2i−2i2i2i-2200-220000−i3i3−33-11i−iii−i−i1-1002i−2i00001-100000−i3i30−3300003−3i3−i3−ii00000000
χ522-2-22-122-21-221-2-1-11-11−2i2i2-1-21−2i−2i2i2i-2200-220000i3−i33−3-11i−iii−i−i1-1002i−2i00001-100000i3−i303−30000−33−i3i3−ii00000000
χ5344444-2-4-44-2-24-24-2-2-2-2002-42-40000004400-4-40000002200000000-2-2000022000000000000000000000000000000
χ5444444-2-4-44-2-24-24-2-2-2-2002-42-4000000-4-400440000002200000000220000-2-2000000000000000000000000000000
χ554444-24-4-4-244-24-2-2-2-2-200-42-4200004400-4-40000000022000000-2-200000000220000000000000000000000000000
χ564444-24-4-4-244-24-2-2-2-2-200-42-420000-4-4004400000000220000002200000000-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-2-2-211-2-211110000000000000000-211-211000000000000000000
χ584444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-4222211-2-2111100000000000000002-1-12-1-1000000000000000000
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-2221122-1-1-1-10000000000000000-2112-1-1000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-4422-2-21122-1-1-1-100000000000000002-1-1-211000000000000000000
χ6144-4-44400-4-4-444-44-4-440000000000004-4000000000000000000004-4000000000000000000000000000000000000
χ6244-4-44400-4-4-444-44-4-44000000000000-4400000000000000000000-44000000000000000000000000000000000000
χ6344-4-44-200-4224-2-4-222-2000000i6−i6i6−i6004-400000000000000i6−i6i6−i600-2200000000i6−i6i6−i6000000000000000000000000
χ6444-4-44-200-4224-2-4-222-2000000i6−i6i6−i600-4400000000000000i6−i6i6−i6002-200000000−i6i6−i6i6000000000000000000000000
χ6544-4-44-200-4224-2-4-222-2000000−i6i6−i6i6004-400000000000000−i6i6−i6i600-2200000000−i6i6−i6i6000000000000000000000000
χ6644-4-44-200-4224-2-4-222-2000000−i6i6−i6i600-4400000000000000−i6i6−i6i6002-200000000i6−i6i6−i6000000000000000000000000
χ674-44-4440044-4-4-4-444-4-400000000000000004i−4i00000000000000000000004i−4i000000000000000000000000000000
χ684-44-4440044-4-4-4-444-4-40000000000000000−4i4i0000000000000000000000−4i4i000000000000000000000000000000
χ694-44-44-2004-22-42-4-2-2220000006−6−660000004i−4i00000000006−6−6600000000−2i2i00i6−i6−i6i6000000000000000000000000
χ704-44-44-2004-22-42-4-2-2220000006−6−66000000−4i4i00000000006−6−66000000002i−2i00−i6i6i6−i6000000000000000000000000
χ714-44-44-2004-22-42-4-2-222000000−666−60000004i−4i0000000000−666−600000000−2i2i00−i6i6i6−i6000000000000000000000000
χ724-44-44-2004-22-42-4-2-222000000−666−6000000−4i4i0000000000−666−6000000002i−2i00i6−i6−i6i6000000000000000000000000
χ734-4-444-24-4-42-2-424-22-224i−4i-242-4−2i−2i2i2i00000000000000-224i−4i−2i−2i2i2i0000000000000000000000000000000000000000
χ744-4-444-24-4-42-2-424-22-22−4i4i-242-42i2i−2i−2i00000000000000-22−4i4i2i2i−2i−2i0000000000000000000000000000000000000000
χ754-4-444-2-44-42-2-424-22-22002-4-240000000000000000002-20000000000004-40000-2-222000000000000000000000000
χ764-4-444-2-44-42-2-424-22-22002-4-240000000000000000002-2000000000000-44000022-2-2000000000000000000000000
χ774-4-44-24-442-442-4-2-22-2200-424-200004-400-44000000002-2000000-22000000002-20000000000000000000000000000
χ784-4-44-24-442-442-4-2-22-2200-424-20000-44004-4000000002-20000002-200000000-220000000000000000000000000000
χ794-4-44-2-24-422-222-21-11-14i−4i-2-222−2i−2i2i2i0000000000−2i32i323−231-1−2i2iii−i−i00000000000000000i3−i30−33000000000000000000
χ804-4-44-2-24-422-222-21-11-14i−4i-2-222−2i−2i2i2i00000000002i3−2i3−23231-1−2i2iii−i−i00000000000000000−i3i303−3000000000000000000
χ814-4-44-2-24-422-222-21-11-1−4i4i-2-2222i2i−2i−2i0000000000−2i32i3−23231-12i−2i−i−iii00000000000000000i3−i303−3000000000000000000
χ824-4-44-2-24-422-222-21-11-1−4i4i-2-2222i2i−2i−2i00000000002i3−2i323−231-12i−2i−i−iii00000000000000000−i3i30−33000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-42222004444000000000000000000-2-20000000000000000000000000000000000000000000000
χ8488-8-8-48004-8-8-484-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400444-4-442-2-220000002i6−2i62i6−2i6000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ8688-8-8-4-400444-4-442-2-22000000−2i62i6−2i62i6000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ878-88-8-4800-48-84-84-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-400-4-4444422-2-200000026−26−2626000000000000000000−666−60000000000000000000000000000000000000000
χ898-88-8-4-400-4-4444422-2-2000000−262626−260000000000000000006−6−660000000000000000000000000000000000000000
χ908-8-88-4-4-8844-444-42-22-20044-4-4000000000000000000-220000000000000000000000000000000000000000000000

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