Finite Group Databasebeta

← Group #11889270

Character table — Group #11889270

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order12223344666666366688121212122424242444246612122424242424242222466668812122424242466612121212444668122424444412121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-111-1-1-111-1
χ4111111111111111111111111111111-1-1-1-1111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-11
χ51111111111111111111111111111-1-1111111111111-11111-1-111-1-1-1-1-1-1-1-11111111-11-1111111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-11111-11
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-111-111-11-1
χ9111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-1111111111-1-111-1-1-1-1111-1-1-1-1-1-1111-11-1-11-1-111-1-11-1
χ10111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-111-1-11-111-111-11-11-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-111111-1-1111-111-1-1-1-1-11-111
χ12111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-11-1-1111111-1-111-1-1-1-1-1-1-1111111-1-1-1-11-1-11111-111-1-1
χ13111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-11111-1-11111-1-11111111-1-1-1-11-1-111-11-1-1-111-1-11-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-111-1-1-11-1111-1-11-1111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-11111-1-11111-11111111-1-1-1-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-11111-111-1-1-11-1-1-1-1-1-11-1111
χ17222222-2-2222222222200-2-2-2-20000220000-2-2000000-2002-2-2-222002200000000000000000-200-200200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-200-22-2-2-2-2002200000000000000000200200-200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-20000002002-2222200-2-200000000000000000-200200-200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000200-2222-2-200-2-200000000000000000200-200200000
χ2122222-122-1222-1-1-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-10222200-1-1000000002-1-12-1-1-1020-1-12-1-1-1000000-100
χ2222222-122-1222-1-1-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-10-2-2-2-20011000000002-1-12-1-1-10-2011-2111000000100
χ2322222-122-1222-1-1-1-1-1-1222-1-12222200-2-211-1-1-1-1-1-1-1-1022-2-2001100000000-211-2111020-1-1-2111000000-100
χ2422222-122-1222-1-1-1-1-1-1222-1-12222200-2-211-1-1-1-1-1-1-1-10-2-22200-1-100000000-211-21110-20112-1-1-1000000100
χ2522222-122-1222-1-1-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-1-1-11111110222200-1-1000000002-1-1-21110-20-1-1-2-111000000100
χ2622222-122-1222-1-1-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-1-1-11111110-2-2-2-20011000000002-1-1-21110201121-1-1000000-100
χ2722222-122-1222-1-1-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1111111022-2-2001100000000-2112-1-1-10-20-1-121-1-1000000100
χ2822222-122-1222-1-1-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-11111110-2-22200-1-100000000-2112-1-1-102011-2-111000000-100
χ292222-12222-1-1-122-1-1-1-122-122-1-1-1-1-1222222-1-122-1-1-1-120000-1-10022-1-1-1-1-1-1-1-1-1-12-1-12020000000000-1-1000
χ302222-12222-1-1-122-1-1-1-122-122-1-1-1-1-122-2-2-2-2-1-122-1-1-1-120000-1-10022-1-1-1-1-1-11111-211-20-2000000000011000
χ312222-12222-1-1-122-1-1-1-122-122-1-1-1-1-1-2-22222-1-122-1-1-1-1-200001100-2-2111111-1-1-1-12-1-1-20-2000000000011000
χ322222-12222-1-1-122-1-1-1-122-122-1-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1-200001100-2-21111111111-2112020000000000-1-1000
χ332222-12222-1-1-122-1-1-1-1-2-2-122-11111222-222-1-1-2-2111120000-1-100-2-2-1-11111-1-1-11-211-2020000000000-11000
χ342222-12222-1-1-122-1-1-1-1-2-2-122-1111122-22-2-2-1-1-2-2111120000-1-100-2-2-1-11111111-12-1-120-200000000001-1000
χ352222-12222-1-1-122-1-1-1-1-2-2-122-11111-2-22-222-1-1-2-21111-2000011002211-1-1-1-1-1-1-11-21120-200000000001-1000
χ362222-12222-1-1-122-1-1-1-1-2-2-122-11111-2-2-22-2-2-1-1-2-21111-2000011002211-1-1-1-1111-12-1-1-2020000000000-11000
χ372-22-2222-2-22-2-22-22-2-22002-22-200000000002-200000002-20000002i−2i002i2i−2i−2i00000000002-2000002i−2i000000
χ382-22-2222-2-22-2-22-22-2-22002-22-200000000002-200000002-2000000−2i2i00−2i−2i2i2i00000000002-200000−2i2i000000
χ392-22-2222-2-22-2-22-22-2-22002-22-200000000002-20000000-220000002i−2i002i2i−2i−2i0000000000-2200000−2i2i000000
χ402-22-2222-2-22-2-22-22-2-22002-22-200000000002-20000000-22000000−2i2i00−2i−2i2i2i0000000000-22000002i−2i000000
χ4144444-2-4-4-2444-2-2-2-2-2-200-422-40000000000220000000004-400-2-2000000000000000000000200000000000
χ4244444-2-4-4-2444-2-2-2-2-2-200-422-4000000000022000000000-440022000000000000000000000-200000000000
χ434444-24-4-44-2-2-244-2-2-2-2002-4-42000044000022000000-40000220000-2-200000000000000000000000000000
χ444444-24-4-44-2-2-244-2-2-2-2002-4-420000-4-400002200000040000-2-200002200000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-211-2-2111100000000000000000-211-2-211000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-42211-2-21111000000000000000002-1-122-1-1000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-21122-1-1-1-100000000000000000-21122-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44221122-1-1-1-1000000000000000002-1-1-2-211000000000000000000
χ4944-4-44400-4-44-4-4444-4-400000000004i−4i000000000000000000000004i−4i00000000000000000000000000000
χ5044-4-44400-4-44-4-4444-4-40000000000−4i4i00000000000000000000000−4i4i00000000000000000000000000000
χ5144-4-4-2400-42-22-44-2-22200000066−6−64i−4i0000000066−6−600000000000−2i2ii6−i6i6−i60000000000000000000000000
χ5244-4-4-2400-42-22-44-2-22200000066−6−6−4i4i0000000066−6−6000000000002i−2i−i6i6−i6i60000000000000000000000000
χ5344-4-4-2400-42-22-44-2-222000000−6−6664i−4i00000000−6−66600000000000−2i2i−i6i6−i6i60000000000000000000000000
χ5444-4-4-2400-42-22-44-2-222000000−6−666−4i4i00000000−6−666000000000002i−2ii6−i6i6−i60000000000000000000000000
χ554-44-444-44-44-4-44-44-4-4400-44-440000000000-44000000000000000000000000000000000000000000000000
χ564-44-44-24-424-4-4-22-222-20042-2-40000000000-2200000004-4000000000000000000000000-220000000000000
χ574-44-44-24-424-4-4-22-222-20042-2-40000000000-220000000-440000000000000000000000002-20000000000000
χ584-44-44-2-4424-4-4-22-222-200-4-22400000000−2i32i32-2000000000000000000000000−2i32i30000000000000000000000
χ594-44-44-2-4424-4-4-22-222-200-4-224000000002i3−2i32-20000000000000000000000002i3−2i30000000000000000000000
χ604-44-4-244-4-4-2224-4-222-200-2-4420000000000-220000000000000004i−4i00−2i−2i2i2i0000000000000000000000000
χ614-44-4-244-4-4-2224-4-222-200-2-4420000000000-22000000000000000−4i4i002i2i−2i−2i0000000000000000000000000
χ624-44-4-24-44-4-2224-4-222-20024-4-2−2i32i3−2i32i30000002-200−2i32i3−2i32i3000000000000000000000000000000000000000000
χ634-44-4-24-44-4-2224-4-222-20024-4-22i3−2i32i3−2i30000002-2002i3−2i32i3−2i3000000000000000000000000000000000000000000
χ644-44-4-2-2-442-222-221-1-11002-22-2−2i32i3−2i32i30000−2i32i3-1100i3−i3i3−i3000000000000000000i3−i3003-3000000000000000000
χ654-44-4-2-2-442-222-221-1-11002-22-2−2i32i3−2i32i300002i3−2i3-1100i3−i3i3−i3000000000000000000−i3i300-33000000000000000000
χ664-44-4-2-2-442-222-221-1-11002-22-22i3−2i32i3−2i30000−2i32i3-1100−i3i3−i3i3000000000000000000i3−i300-33000000000000000000
χ674-44-4-2-2-442-222-221-1-11002-22-22i3−2i32i3−2i300002i3−2i3-1100−i3i3−i3i3000000000000000000−i3i3003-3000000000000000000
χ684-4-4444004-4-44-4-44-44-4−2i22i20000−2i22i22i2−2i200000000−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000000
χ694-4-4444004-4-44-4-44-44-42i2−2i200002i2−2i2−2i22i2000000002i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000000
χ704-4-444-200-2-4-4422-22-22−2i22i20000−2i22i22i2−2i200000000i2−i2i2−i2−i2i20000000−2i32i300000000000000000000006−6000000000
χ714-4-444-200-2-4-4422-22-22−2i22i20000−2i22i22i2−2i200000000i2−i2i2−i2−i2i200000002i3−2i30000000000000000000000−66000000000
χ724-4-444-200-2-4-4422-22-222i2−2i200002i2−2i2−2i22i200000000−i2i2−i2i2i2−i20000000−2i32i30000000000000000000000−66000000000
χ734-4-444-200-2-4-4422-22-222i2−2i200002i2−2i2−2i22i200000000−i2i2−i2i2i2−i200000002i3−2i300000000000000000000006−6000000000
χ744-4-44-2400422-2-4-4-22-22−2i22i20000i2−i2−i2i200000000−2i22i2i2−i2−i2i200000−2i32i30000006−6−660000000000000000000000000
χ754-4-44-2400422-2-4-4-22-22−2i22i20000i2−i2−i2i200000000−2i22i2i2−i2−i2i2000002i3−2i3000000−666−60000000000000000000000000
χ764-4-44-2400422-2-4-4-22-222i2−2i20000−i2i2i2−i2000000002i2−2i2−i2i2i2−i200000−2i32i3000000−666−60000000000000000000000000
χ774-4-44-2400422-2-4-4-22-222i2−2i20000−i2i2i2−i2000000002i2−2i2−i2i2i2−i2000002i3−2i30000006−6−660000000000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-88-4004-88-84-4-4-444000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-40044-444-422-2-20000002626−26−260000000000−6−666000000000000000000000000000000000000000000
χ8188-8-8-4-40044-444-422-2-2000000−26−262626000000000066−6−6000000000000000000000000000000000000000000
χ828-88-8-4-48-84-444-442-2-2200-44-4400000000002-2000000000000000000000000000000000000000000000000
χ838-8-88-4-400-444-4442-22-2−4i24i200002i2−2i2−2i22i2000000002i2−2i2−i2i2i2−i2000000000000000000000000000000000000000000
χ848-8-88-4-400-444-4442-22-24i2−4i20000−2i22i22i2−2i200000000−2i22i2i2−i2−i2i2000000000000000000000000000000000000000000

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