Finite Group Databasebeta

← Group #11789213

Character table — Group #11789213

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order122222223344666666666666661212121212121212444444444444444444441212121212121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ911-1-1-11-1111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−iii−i−i11-1-11-1ii−i−i1-1i−i1-1ii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i
χ1011-1-1-11-1111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−iii−i−i11-1-11-1ii−i−i1-1−ii-11ii−i−i11-1-1-1-111−i−iii-1-111−i−iii
χ1111-1-1-11-1111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i−i−iii-1-1111-1ii−i−i1-1i−i1-1−i−iii-1-11111-1-1ii−i−i-1-111−i−iii
χ1211-1-1-11-1111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i−i−iii-1-1111-1ii−i−i1-1−ii-11−i−iii-1-111-1-111−i−iii11-1-1ii−i−i
χ1311-1-1-11-1111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iiiii−i−i-1-1111-1−i−iii1-1i−i-11ii−i−i-1-111-1-111ii−i−i11-1-1−i−iii
χ1411-1-1-11-1111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iiiii−i−i-1-1111-1−i−iii1-1−ii1-1ii−i−i-1-11111-1-1−i−iii-1-111ii−i−i
χ1511-1-1-11-1111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii−i−iii11-1-11-1−i−iii1-1i−i-11−i−iii11-1-1-1-111ii−i−i-1-111ii−i−i
χ1611-1-1-11-1111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii−i−iii11-1-11-1−i−iii1-1−ii1-1−i−iii11-1-111-1-1−i−iii11-1-1−i−iii
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000
χ19222-2-2-22-2220022-2-22222-2-2-2-2-2-20000000000000000002-22-200000000000000000000002−22−22−22−2
χ20222-2-2-22-2220022-2-22222-2-2-2-2-2-20000000000000000002-22-20000000000000000000000−22−22−22−22
χ21222-2-2-22-2220022-2-22222-2-2-2-2-2-2000000000000000000-22-2200000000000000000000002−22−2−22−22
χ22222-2-2-22-2220022-2-22222-2-2-2-2-2-2000000000000000000-22-220000000000000000000000−22−222−22−2
χ2322-222-2-2-2220022-2-2-2-2-2-222-2-2220000000000000000002i−2i−2i2i00000000000000000000002−2−22i2−i2−i2i2
χ2422-222-2-2-2220022-2-2-2-2-2-222-2-2220000000000000000002i−2i−2i2i0000000000000000000000−222−2−i2i2i2−i2
χ2522-222-2-2-2220022-2-2-2-2-2-222-2-222000000000000000000−2i2i2i−2i00000000000000000000002−2−22−i2i2i2−i2
χ2622-222-2-2-2220022-2-2-2-2-2-222-2-222000000000000000000−2i2i2i−2i0000000000000000000000−222−2i2−i2−i2i2
χ2722-2-2-22-22222i−2i2222-2-2-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000-22−2i−2i2i2i-220000000000000000000000000000
χ2822-2-2-22-2222−2i2i2222-2-2-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000-222i2i−2i−2i-220000000000000000000000000000
χ292-222-22-2-22200-2-22222-2-22-2-2-22-20000000000002i−2i2i−2i-2-2000022000000002i−2i2i−2i0000000000000000
χ302-222-22-2-22200-2-22222-2-22-2-2-22-2000000000000−2i2i−2i2i-2-200002200000000−2i2i−2i2i0000000000000000
χ312-222-22-2-22200-2-22222-2-22-2-2-22-2000000002-22-20000220000-2-200002-22-200000000000000000000
χ322-222-22-2-22200-2-22222-2-22-2-2-22-200000000-22-220000220000-2-20000-22-2200000000000000000000
χ332-2-2-2222-22200-2-222-2-222-22-2-2-220000000000002i−2i−2i2i-2200002-2000000002i−2i−2i2i0000000000000000
χ342-2-2-2222-22200-2-222-2-222-22-2-2-22000000000000−2i2i2i−2i-2200002-200000000−2i2i2i−2i0000000000000000
χ352-2-2-2222-22200-2-222-2-222-22-2-2-22000000002i−2i−2i2i00002-20000-2200002i−2i−2i2i00000000000000000000
χ362-2-2-2222-22200-2-222-2-222-22-2-2-2200000000−2i2i2i−2i00002-20000-220000−2i2i2i−2i00000000000000000000
χ37444444441-2441-21-21-21-21-21-2-21-2-2-2-211110000000000000000222200000000-1-1-1-1-1-1-1-100000000
χ38444444441-2441-21-21-21-21-21-2-21-2-2-2-211110000000000000000-2-2-2-2000000001111111100000000
χ39444444441-2-4-41-21-21-21-21-21-2-212222-1-1-1-1000000000000000022-2-2000000001111-1-1-1-100000000
χ40444444441-2-4-41-21-21-21-21-21-2-212222-1-1-1-10000000000000000-2-22200000000-1-1-1-1111100000000
χ4144444444-2144-21-21-21-21-21-211-21111-2-2-2-222222222000000000000-1-1-1-1-1-1-1-10000000000000000
χ4244444444-2144-21-21-21-21-21-211-21111-2-2-2-2-2-2-2-2-2-2-2-2000000000000111111110000000000000000
χ4344444444-21-4-4-21-21-21-21-21-211-2-1-1-1-122222222-2-2-2-2000000000000-1-1-1-111110000000000000000
χ4444444444-21-4-4-21-21-21-21-21-211-2-1-1-1-12222-2-2-2-222220000000000001111-1-1-1-10000000000000000
χ4544-4-4-44-441-24i−4i1-21-2-12-12-121-22-1−2i−2i2i2iii−i−i00000000000000002i−2i2-200000000-1-111−i−iii00000000
χ4644-4-4-44-441-24i−4i1-21-2-12-12-121-22-1−2i−2i2i2iii−i−i0000000000000000−2i2i-220000000011-1-1ii−i−i00000000
χ4744-4-4-44-441-2−4i4i1-21-2-12-12-121-22-12i2i−2i−2i−i−iii00000000000000002i−2i-220000000011-1-1−i−iii00000000
χ4844-4-4-44-441-2−4i4i1-21-2-12-12-121-22-12i2i−2i−2i−i−iii0000000000000000−2i2i2-200000000-1-111ii−i−i00000000
χ4944-4-4-44-44-214i−4i-21-212-12-12-1-21-12ii−i−i−2i−2i2i2i2i2i−2i−2i22-2-2000000000000−i−iii-1-1110000000000000000
χ5044-4-4-44-44-214i−4i-21-212-12-12-1-21-12ii−i−i−2i−2i2i2i−2i−2i2i2i-2-222000000000000ii−i−i11-1-10000000000000000
χ5144-4-4-44-44-21−4i4i-21-212-12-12-1-21-12−i−iii2i2i−2i−2i2i2i−2i−2i-2-222000000000000−i−iii11-1-10000000000000000
χ5244-4-4-44-44-21−4i4i-21-212-12-12-1-21-12−i−iii2i2i−2i−2i−2i−2i2i2i22-2-2000000000000ii−i−i-1-1110000000000000000
χ534-444-44-4-4-21002-1-21-212-1-2-12-1123i−3i3i−3i00002-22-22i−2i2i−2i000000000000-11-11−ii−ii0000000000000000
χ544-444-44-4-4-21002-1-21-212-1-2-12-1123i−3i3i−3i0000-22-22−2i2i−2i2i0000000000001-11-1i−ii−i0000000000000000
χ554-444-44-4-4-21002-1-21-212-1-2-12-112−3i3i−3i3i00002-22-2−2i2i−2i2i000000000000-11-11i−ii−i0000000000000000
χ564-444-44-4-4-21002-1-21-212-1-2-12-112−3i3i−3i3i0000-22-222i−2i2i−2i0000000000001-11-1−ii−ii0000000000000000
χ574-44-44-4-441-200-12-121-2-12-1-21-22100003-33-30000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ584-44-44-4-441-200-12-121-2-12-1-21-22100003-33-30000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ594-44-44-4-441-200-12-121-2-12-1-21-2210000-33-330000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ604-44-44-4-441-200-12-121-2-12-1-21-2210000-33-330000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ614-44-44-4-444400-4-4-4-444-4-4-4444-440000000000000000000000000000000000000000000000000000
χ624-4-44-4-4441-200-12-12-121-2121-2-2-100003i−3i−3i3i0000000000000000000000000000−i3i3i3−i33−3−3300000000
χ634-4-44-4-4441-200-12-12-121-2121-2-2-100003i−3i−3i3i0000000000000000000000000000i3−i3−i3i3−333−300000000
χ644-4-44-4-4441-200-12-12-121-2121-2-2-10000−3i3i3i−3i0000000000000000000000000000−i3i3i3−i3−333−300000000
χ654-4-44-4-4441-200-12-12-121-2121-2-2-10000−3i3i3i−3i0000000000000000000000000000i3−i3−i3i33−3−3300000000
χ664-4-44-4-4444400-4-4-4-4-4-4444-4444-40000000000000000000000000000000000000000000000000000
χ674-4-4-4444-4-21002-1-212-1-21212-1-1-23-3-3300002i−2i−2i2i−2i2i2i−2i000000000000−iii−ii−i−ii0000000000000000
χ684-4-4-4444-4-21002-1-212-1-21212-1-1-23-3-330000−2i2i2i−2i2i−2i−2i2i000000000000i−i−ii−iii−i0000000000000000
χ694-4-4-4444-4-21002-1-212-1-21212-1-1-2-333-300002i−2i−2i2i2i−2i−2i2i000000000000−iii−i−iii−i0000000000000000
χ704-4-4-4444-4-21002-1-212-1-21212-1-1-2-333-30000−2i2i2i−2i−2i2i2i−2i000000000000i−i−iii−i−ii0000000000000000
χ71888-8-8-88-82-4002-4-242-42-4-24-244-20000000000000000000000000000000000000000000000000000
χ72888-8-8-88-8-4200-424-2-42-424-24-2-240000000000000000000000000000000000000000000000000000
χ7388-888-8-8-82-4002-4-24-24-242-4-24-420000000000000000000000000000000000000000000000000000
χ7488-888-8-8-8-4200-424-24-24-2-424-22-40000000000000000000000000000000000000000000000000000
χ758-888-88-8-82-400-242-42-4-2424-24-4-20000000000000000000000000000000000000000000000000000
χ768-88-88-8-88-42004-24-2-424-242-42-2-40000000000000000000000000000000000000000000000000000
χ778-8-88-8-888-42004-24-24-2-42-4-2-42240000000000000000000000000000000000000000000000000000
χ788-8-8-8888-82-400-242-4-242-4-2-4-24420000000000000000000000000000000000000000000000000000

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