Finite Group Databasebeta

← Group #11889120

Character table — Group #11889120

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444446688888888881212121212121212121212121216161616161616162424242424242424243636363636364848484872
order122233446666663666881212121224242424222412122424242424244446688121224242424666612121212244481212242422244461212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-1111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1
χ3111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-11
χ4111111111111111111111111111111-1-111111111-11-11111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111-1111-11-1-1
χ51111111111111111111111111111-1-111111111111-11-1-1-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-1-11-11-1-1
χ61111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111111111-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-111-111-11-11-1
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11-1-111111
χ9111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-11-11-1-111-1-11111-1-111-1-1-1
χ10111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-111-111-11
χ11111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111-11-11-111-1-11-1-1111-1-111-1
χ12111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1111111-1-11-1-111-111-1-1-11-1-111
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-11-11-1-111-1-111111111-1-1-1-111-1-1-111-1-1-1-1-1-1111-1-111
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-11-111-1-1111111-1-1-1-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-11111-1-111-111-1-1-111-1-1-1-111-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-11-11-1-1111-1-111111-1-1-1
χ17222222-2-2222222222200-2-2-2-200002200-2-20000002-2-22200-2-2000000000000000002-200-20020000000
χ18222222-2-2222222222200-2-2-2-200002200-2-2000000-2-222200-2-200000000000000000-2200200-20000000
χ19222222-2-2222222222200-2-2-2-20000-2-200-2-200000022-2-2-20022000000000000000002-200200-20000000
χ20222222-2-2222222222200-2-2-2-20000-2-200-2-2000000-222-2-2002200000000000000000-2200-20020000000
χ2122222-122-12-12-12-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-120200000000002-1-1-12-1-1-120022-1-1-1-1000000-10-100
χ2222222-122-12-12-12-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-20-200000000002-1-1-12-1-1-1-200-2-2111100000010100
χ2322222-122-12-12-12-1-1-1-1222-1-12222200-2-2-1-1-1-1-1-1-1-12020000000000-2111-2111-200-22-1-1-1-100000010100
χ2422222-122-12-12-12-1-1-1-1222-1-12222200-2-2-1-1-1-1-1-1-1-1-20-20000000000-2111-21112002-21111000000-10-100
χ2522222-122-12-12-12-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-111111120200000000002-1-1-1-2111200-2-2-1-111000000-10100
χ2622222-122-12-12-12-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-1111111-20-200000000002-1-1-1-2111-2002211-1-100000010-100
χ2722222-122-12-12-12-1-1-1-1-2-22-1-12-2-2-2-200-22-1-11111112020000000000-21112-1-1-1-2002-2-1-11100000010-100
χ2822222-122-12-12-12-1-1-1-1-2-22-1-12-2-2-2-200-22-1-1111111-20-20000000000-21112-1-1-1200-2211-1-1000000-10100
χ292222-12222-12-12-1-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-1020-1-122-1-1-1-1-1-1-12-1-1-12-1-10220000000000000-10-10
χ302222-12222-12-12-1-1-1-1-122-122-1-1-1-1-122-2-2-1-122-1-1-1-1020-1-122-1-1-1-1-1-11-2111-2110-2-200000000000001010
χ312222-12222-12-12-1-1-1-1-122-122-1-1-1-1-1-2-222-1-122-1-1-1-10-2011-2-2111111-12-1-1-12-1-10-2-200000000000001010
χ322222-12222-12-12-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-10-2011-2-21111111-2111-2110220000000000000-10-10
χ332222-12222-12-12-1-1-1-1-1-2-2-122-11111222-2-1-1-2-21111020-1-1-2-2-1-11111-12-1-11-2110-220000000000000-1010
χ342222-12222-12-12-1-1-1-1-1-2-2-122-1111122-22-1-1-2-21111020-1-1-2-2-1-111111-211-12-1-102-2000000000000010-10
χ352222-12222-12-12-1-1-1-1-1-2-2-122-11111-2-22-2-1-1-2-211110-20112211-1-1-1-1-12-1-11-21102-2000000000000010-10
χ362222-12222-12-12-1-1-1-1-1-2-2-122-11111-2-2-22-1-1-2-211110-20112211-1-1-1-11-211-12-1-10-220000000000000-1010
χ372-22-2222-22-2-2-2-222-22-22i−2i2-22-22i2i−2i−2i00002-22i−2i2i2i−2i−2i00000000000000000000000000000002-202i−2i00000
χ382-22-2222-22-2-2-2-222-22-22i−2i2-22-22i2i−2i−2i00002-22i−2i2i2i−2i−2i0000000000000000000000000000000-220−2i2i00000
χ392-22-2222-22-2-2-2-222-22-2−2i2i2-22-2−2i−2i2i2i00002-2−2i2i−2i−2i2i2i00000000000000000000000000000002-20−2i2i00000
χ402-22-2222-22-2-2-2-222-22-2−2i2i2-22-2−2i−2i2i2i00002-2−2i2i−2i−2i2i2i0000000000000000000000000000000-2202i−2i00000
χ4144444-2-4-4-24-24-24-2-2-2-200-422-4000000002200000040-400000000000000000000000-220000000000000
χ4244444-2-4-4-24-24-24-2-2-2-200-422-40000000022000000-404000000000000000000000002-20000000000000
χ434444-24-4-44-24-24-2-2-2-2-2002-4-4200004400220000000-40-2-2002200000000000000000000000000000000
χ444444-24-4-44-24-24-2-2-2-2-2002-4-420000-4-400220000000402200-2-200000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2004411-2-211110000000000000-2-211-2-21100000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-411-2-21111000000000000022-1-122-1-100000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-41122-1-1-1-10000000000000-2-21122-1-100000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-441122-1-1-1-1000000000000022-1-1-2-21100000000000000000000
χ4944-4-44400-444-4-4-44-4-44000000000000000000000000000−2i22i200−2i2−2i22i22i20000000000000000000000000000
χ5044-4-44400-444-4-4-44-4-440000000000000000000000000002i2−2i2002i22i2−2i2−2i20000000000000000000000000000
χ5144-4-4-2400-4-242-42-222-2000000i6−i6i6−i600000000i6−i6i6−i600000−2i22i223−23i2i2−i2−i20000000000000000000000000000
χ5244-4-4-2400-4-242-42-222-2000000i6−i6i6−i600000000i6−i6i6−i6000002i2−2i2−2323−i2−i2i2i20000000000000000000000000000
χ5344-4-4-2400-4-242-42-222-2000000−i6i6−i6i600000000−i6i6−i6i600000−2i22i2−2323i2i2−i2−i20000000000000000000000000000
χ5444-4-4-2400-4-242-42-222-2000000−i6i6−i6i600000000−i6i6−i6i6000002i2−2i223−23−i2−i2i2i20000000000000000000000000000
χ554-44-444-444-4-4-4-444-44-400-44-4400000000-4400000000000000000000000000000000000000000000000
χ564-44-44-24-4-2-42-424-22-224i−4i42-2-44i4i−4i−4i0000-22−2i2i−2i−2i2i2i00000000000000000000000000000000000000000
χ574-44-44-24-4-2-42-424-22-22−4i4i42-2-4−4i−4i4i4i0000-222i−2i2i2i−2i−2i00000000000000000000000000000000000000000
χ584-44-44-2-44-2-42-424-22-2200-4-224000000002-2000000000000000000000000000000000023−2300000000000
χ594-44-44-2-44-2-42-424-22-2200-4-224000000002-20000000000000000000000000000000000−232300000000000
χ604-44-4-244-442-42-4-2-22-224i−4i-2-442−2i−2i2i2i0000-224i−4i−2i−2i2i2i00000000000000000000000000000000000000000
χ614-44-4-244-442-42-4-2-22-22−4i4i-2-4422i2i−2i−2i0000-22−4i4i2i2i−2i−2i00000000000000000000000000000000000000000
χ624-44-4-24-4442-42-4-2-22-220024-4-2000000002-2000000000000000−2i32i3−2i32i30000000000000000000000000000
χ634-44-4-24-4442-42-4-2-22-220024-4-2000000002-20000000000000002i3−2i32i3−2i30000000000000000000000000000
χ644-44-4-2-24-4-22222-21-11-14i−4i-22-22−2i−2i2i2i00001-1−2i2iii−i−i0000000000000003-3003i−3i00000000000000000000
χ654-44-4-2-24-4-22222-21-11-14i−4i-22-22−2i−2i2i2i00001-1−2i2iii−i−i000000000000000-3300−3i3i00000000000000000000
χ664-44-4-2-24-4-22222-21-11-1−4i4i-22-222i2i−2i−2i00001-12i−2i−i−iii0000000000000003-300−3i3i00000000000000000000
χ674-44-4-2-24-4-22222-21-11-1−4i4i-22-222i2i−2i−2i00001-12i−2i−i−iii000000000000000-33003i−3i00000000000000000000
χ684-4-444400-4-4-444-444-4-400000000004-400000000000004-4000000000000000000000000000000000000
χ694-4-444400-4-4-444-444-4-40000000000-440000000000000-44000000000000000000000000000000000000
χ704-4-44-2400-42-4-242-2-2220000006−6−664-40000006−6−66000-2200006−6−660000000000000000000000000000
χ714-4-44-2400-42-4-242-2-2220000006−6−66-440000006−6−660002-20000−666−60000000000000000000000000000
χ724-4-44-2400-42-4-242-2-222000000−666−64-4000000−666−6000-220000−666−60000000000000000000000000000
χ734-4-44-2400-42-4-242-2-222000000−666−6-44000000−666−60002-200006−6−660000000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-88-40048-4-84-8-444-4000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-4004-4-44442-2-220000002i6−2i62i6−2i600000000−i6i6−i6i600000000000000000000000000000000000000000
χ7788-8-8-4-4004-4-44442-2-22000000−2i62i6−2i62i600000000i6−i6i6−i600000000000000000000000000000000000000000
χ788-88-8-4-4-88-44444-42-22-2004-44-400000000-2200000000000000000000000000000000000000000000000
χ798-8-888-4004-848-4-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400444-4-4422-2-200000026−26−262600000000−666−600000000000000000000000000000000000000000
χ818-8-88-4-400444-4-4422-2-2000000−262626−26000000006−6−6600000000000000000000000000000000000000000

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