Finite Group Databasebeta

← Group #11889428

Character table — Group #11889428

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444446688888888881212121212121212121212121216161616161616162424242424242424243636363636364848484872
order12223344666666366688121212122424242422441212242424242424444668812122424242412121212121212124444812122424244444121212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1
χ3111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-11
χ4111111111111111111111111111111-1-111111111-1-111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111-111-111-1-1
χ51111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111111-11-1111111-1-1-1-1-1-1-111-1-1
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
χ71111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111-111-1111-1-11-1
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
χ9111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-111111-1-111-1-1-1-111-1-111-1-1-111-1-111-1-11111-1-1-11-11-1
χ10111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-111-1-1-1-1111-1-111-1-1-1-111-1-1111
χ11111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-111111-1-111-1-1-1-1-1-111-1-1111-1-11-111-1-11-1-11111-11-1-1
χ12111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-11111-1-11-1-111-111-1-1-111-1-11
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-111-1-1-111-1-1111111-1-111-1-111-1-1-111-1-1-1-1-1-11111-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11-1-111-1-1111111-1-11-11-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-11111-1-111-1-111-1-111-111-1-1-111-1-1-1-1-1111
χ16111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-111-11-1-1111-1-1111-11-11-1
χ17222222-2-2222222222200-2-2-2-200002200-2-20000002-2-22200-2-2000000000000000002-200-20020000000
χ18222222-2-2222222222200-2-2-2-200002200-2-2000000-22-22200-2-200000000000000000-2200200-20000000
χ19222222-2-2222222222200-2-2-2-20000-2-200-2-20000002-22-2-20022000000000000000002-200200-20000000
χ20222222-2-2222222222200-2-2-2-20000-2-200-2-2000000-222-2-2002200000000000000000-2200-20020000000
χ2122222-122-12-122-1-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-1002-1-122-1-1-1-1-1-12-12-1-1-1-1-1202000000000000-100-10
χ2222222-122-12-122-1-1-1-1-122-122-1-1-1-1-122-2-2-1-122-1-1-1-1002-1-122-1-1-1-1-1-1-21-211111-20-200000000000010010
χ2322222-122-12-122-1-1-1-1-122-122-1-1-1-1-1-2-222-1-122-1-1-1-100-211-2-21111112-12-1-1-1-1-1-20-200000000000010010
χ2422222-122-12-122-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-100-211-2-2111111-21-211111202000000000000-100-10
χ2522222-122-12-122-1-1-1-1-1-2-2-122-11111222-2-1-1-2-21111002-1-1-2-2-1-111112-1-21-1-111-202000000000000100-10
χ2622222-122-12-122-1-1-1-1-1-2-2-122-1111122-22-1-1-2-21111002-1-1-2-2-1-11111-212-111-1-120-2000000000000-10010
χ2722222-122-12-122-1-1-1-1-1-2-2-122-11111-2-22-2-1-1-2-2111100-2112211-1-1-1-12-1-21-1-11120-2000000000000-10010
χ2822222-122-12-122-1-1-1-1-1-2-2-122-11111-2-2-22-1-1-2-2111100-2112211-1-1-1-1-212-111-1-1-202000000000000100-10
χ292222-12222-12-1-12-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-12200000000000-12-12-1-1-1-102022-1-1-1-10000000-1-100
χ302222-12222-12-1-12-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-2-200000000000-12-12-1-1-1-10-20-2-2111100000001100
χ312222-12222-12-1-12-1-1-1-1222-1-12222200-2-2-1-1-1-1-1-1-1-122000000000001-21-211110-20-22-1-1-1-100000001100
χ322222-12222-12-1-12-1-1-1-1222-1-12222200-2-2-1-1-1-1-1-1-1-1-2-2000000000001-21-211110202-211110000000-1-100
χ332222-12222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-11111112200000000000-121-2-1-111020-2-2-1-1110000000-1100
χ342222-12222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-1111111-2-200000000000-121-2-1-1110-202211-1-100000001-100
χ352222-12222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-200-22-1-111111122000000000001-2-1211-1-10-202-2-1-11100000001-100
χ362222-12222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-200-22-1-1111111-2-2000000000001-2-1211-1-1020-2211-1-10000000-1100
χ372-2-22222-2-2-2-22-222-2-222i−2i2-22-22i2i−2i−2i00002-22i−2i2i2i−2i−2i00000000000000000000000000000002i−2i02-200000
χ382-2-22222-2-2-2-22-222-2-222i−2i2-22-22i2i−2i−2i00002-22i−2i2i2i−2i−2i0000000000000000000000000000000−2i2i0-2200000
χ392-2-22222-2-2-2-22-222-2-22−2i2i2-22-2−2i−2i2i2i00002-2−2i2i−2i−2i2i2i00000000000000000000000000000002i−2i0-2200000
χ402-2-22222-2-2-2-22-222-2-22−2i2i2-22-2−2i−2i2i2i00002-2−2i2i−2i−2i2i2i0000000000000000000000000000000−2i2i02-200000
χ4144444-2-4-4-24-244-2-2-2-2-2002-4-42000044002200000000-4-2-2002200000000000000000000000000000000
χ4244444-2-4-4-24-244-2-2-2-2-2002-4-420000-4-400220000000042200-2-200000000000000000000000000000000
χ434444-24-4-44-24-2-24-2-2-2-200-422-400000000220000004-4000000000000000000000000-220000000000000
χ444444-24-4-44-24-2-24-2-2-2-200-422-40000000022000000-440000000000000000000000002-20000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2004411-2-211110000000000000-2-2-2-2111100000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-411-2-2111100000000000002222-1-1-1-100000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-41122-1-1-1-10000000000000-2-22211-1-100000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-441122-1-1-1-1000000000000022-2-2-1-11100000000000000000000
χ4944-4-44400-444-4-4-44-44-400000000000000000000000000022−22002222−22−220000000000000000000000000000
χ5044-4-44400-444-4-4-44-44-4000000000000000000000000000−222200−22−2222220000000000000000000000000000
χ5144-4-44-20024-2-4-42-22-220000006−66−6000000006−66−60000022−2223−23−2−2220000000000000000000000000000
χ5244-4-44-20024-2-4-42-22-220000006−66−6000000006−66−600000−2222−232322−2−20000000000000000000000000000
χ5344-4-44-20024-2-4-42-22-22000000−66−6600000000−66−660000022−22−2323−2−2220000000000000000000000000000
χ5444-4-44-20024-2-4-42-22-22000000−66−6600000000−66−6600000−222223−2322−2−20000000000000000000000000000
χ554-44-444004-4-4-44-444-4-400000000004-400000000000004-4000000000000000000000000000000000000
χ564-44-444004-4-4-44-444-4-40000000000-440000000000000-44000000000000000000000000000000000000
χ574-44-44-200-2-42-442-2-222000000i6−i6−i6i64-4000000i6−i6−i6i6000-220000i6−i6i6−i60000000000000000000000000000
χ584-44-44-200-2-42-442-2-222000000i6−i6−i6i6-44000000i6−i6−i6i60002-20000−i6i6−i6i60000000000000000000000000000
χ594-44-44-200-2-42-442-2-222000000−i6i6i6−i64-4000000−i6i6i6−i6000-220000−i6i6−i6i60000000000000000000000000000
χ604-44-44-200-2-42-442-2-222000000−i6i6i6−i6-44000000−i6i6i6−i60002-20000i6−i6i6−i60000000000000000000000000000
χ614-4-4444-44-4-4-44-444-4-4400-44-4400000000-4400000000000000000000000000000000000000000000000
χ624-4-444-24-42-424-4-2-222-24i−4i-2-442−2i−2i2i2i0000-224i−4i−2i−2i2i2i00000000000000000000000000000000000000000
χ634-4-444-24-42-424-4-2-222-2−4i4i-2-4422i2i−2i−2i0000-22−4i4i2i2i−2i−2i00000000000000000000000000000000000000000
χ644-4-444-2-442-424-4-2-222-20024-4-2000000002-2000000000000000−2i32i32i3−2i30000000000000000000000000000
χ654-4-444-2-442-424-4-2-222-20024-4-2000000002-20000000000000002i3−2i3−2i32i30000000000000000000000000000
χ664-4-44-244-4-42-4-224-222-24i−4i42-2-44i4i−4i−4i0000-22−2i2i−2i−2i2i2i00000000000000000000000000000000000000000
χ674-4-44-244-4-42-4-224-222-2−4i4i42-2-4−4i−4i4i4i0000-222i−2i2i2i−2i−2i00000000000000000000000000000000000000000
χ684-4-44-24-44-42-4-224-222-200-4-224000000002-2000000000000000000000000000000000023−2300000000000
χ694-4-44-24-44-42-4-224-222-200-4-224000000002-20000000000000000000000000000000000−232300000000000
χ704-4-44-2-24-4222-22-21-1-114i−4i-22-22−2i−2i2i2i00001-1−2i2iii−i−i000000000000000003i−3i3-300000000000000000000
χ714-4-44-2-24-4222-22-21-1-114i−4i-22-22−2i−2i2i2i00001-1−2i2iii−i−i00000000000000000−3i3i-3300000000000000000000
χ724-4-44-2-24-4222-22-21-1-11−4i4i-22-222i2i−2i−2i00001-12i−2i−i−iii000000000000000003i−3i-3300000000000000000000
χ734-4-44-2-24-4222-22-21-1-11−4i4i-22-222i2i−2i−2i00001-12i−2i−i−iii00000000000000000−3i3i3-300000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4800-8-4844-8-44-44000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-4004-4-44442-22-200000026−2626−2600000000−66−6600000000000000000000000000000000000000000
χ7788-8-8-4-4004-4-44442-22-2000000−2626−2626000000006−66−600000000000000000000000000000000000000000
χ788-88-8-480084-84-4-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-4444-4422-2-20000002i6−2i6−2i62i600000000−i6i6i6−i600000000000000000000000000000000000000000
χ808-88-8-4-400-4444-4422-2-2000000−2i62i62i6−2i600000000i6−i6−i6i600000000000000000000000000000000000000000
χ818-8-88-4-4-88444-44-42-2-22004-44-400000000-2200000000000000000000000000000000000000000000000

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