Finite Group Databasebeta

← Group #11789073

Character table — Group #11789073

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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911-1-1-111-111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−iii−i−i11-1-11-1ii−i−i1-11-1i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-1-1
χ1011-1-1-111-111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−iii−i−i11-1-11-1ii−i−i1-1-11−iiii−i−i11-1-1-1-111−i−iii−i−iii-1-111
χ1111-1-1-111-111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−i−i−iii-1-1111-1ii−i−i1-11-1i−i−i−iii-1-11111-1-1ii−i−i−i−iii-1-111
χ1211-1-1-111-111i−i1111-1-1-1-1-1-111-1-1iiii−i−i−i−i−i−iii-1-1111-1ii−i−i1-1-11−ii−i−iii-1-111-1-111−i−iiiii−i−i11-1-1
χ1311-1-1-111-111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiiiii−i−i-1-1111-1−i−iii1-11-1−iiii−i−i-1-11111-1-1−i−iiiii−i−i-1-111
χ1411-1-1-111-111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiiiii−i−i-1-1111-1−i−iii1-1-11i−iii−i−i-1-111-1-111ii−i−i−i−iii11-1-1
χ1511-1-1-111-111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii11-1-11-1−i−iii1-11-1−ii−i−iii11-1-111-1-1−i−iii−i−iii11-1-1
χ1611-1-1-111-111−ii1111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii11-1-11-1−i−iii1-1-11i−i−i−iii11-1-1-1-111ii−i−iii−i−i-1-111
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000
χ1922-2-2-222-2222i−2i2222-2-2-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i00000000-22−2i−2i2i2i-220000000000000000000000000000
χ2022-2-2-222-222−2i2i2222-2-2-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i00000000-222i2i−2i−2i-220000000000000000000000000000
χ212-222-2-22-22200-2-2-2-222-2-22222-2-20000000000000000002i−2i2i−2i0000000000000000000000−i2i2−i2i22−22−2
χ222-222-2-22-22200-2-2-2-222-2-22222-2-20000000000000000002i−2i2i−2i0000000000000000000000i2−i2i2−i2−22−22
χ232-222-2-22-22200-2-2-2-222-2-22222-2-2000000000000000000−2i2i−2i2i0000000000000000000000−i2i2−i2i2−22−22
χ242-222-2-22-22200-2-2-2-222-2-22222-2-2000000000000000000−2i2i−2i2i0000000000000000000000i2−i2i2−i22−22−2
χ252-22-222-2-2220022-2-2222-2-2-2-2-22-20000000000002i−2i2i−2i-2-2000022000000002i−2i2i−2i0000000000000000
χ262-22-222-2-2220022-2-2222-2-2-2-2-22-2000000000000−2i2i−2i2i-2-200002200000000−2i2i−2i2i0000000000000000
χ272-22-222-2-2220022-2-2222-2-2-2-2-22-2000000002-22-20000220000-2-200002-22-200000000000000000000
χ282-22-222-2-2220022-2-2222-2-2-2-2-22-200000000-22-220000220000-2-20000-22-2200000000000000000000
χ292-2-22-22-22220022-2-2-2-2-2222-2-2-220000000000002i−2i−2i2i-2200002-2000000002i−2i−2i2i0000000000000000
χ302-2-22-22-22220022-2-2-2-2-2222-2-2-22000000000000−2i2i2i−2i-2200002-200000000−2i2i2i−2i0000000000000000
χ312-2-22-22-22220022-2-2-2-2-2222-2-2-22000000002i−2i−2i2i00002-20000-2200002i−2i−2i2i00000000000000000000
χ322-2-22-22-22220022-2-2-2-2-2222-2-2-2200000000−2i2i2i−2i00002-20000-220000−2i2i2i−2i00000000000000000000
χ332-2-2-22-2222200-2-2-2-2-2-222-2-222220000000000000000002-2-2200000000000000000000002−2−22−222−2
χ342-2-2-22-2222200-2-2-2-2-2-222-2-222220000000000000000002-2-220000000000000000000000−222−22−2−22
χ352-2-2-22-2222200-2-2-2-2-2-222-2-22222000000000000000000-222-200000000000000000000002−2−222−2−22
χ362-2-2-22-2222200-2-2-2-2-2-222-2-22222000000000000000000-222-20000000000000000000000−222−2−222−2
χ37444444441-2441-21-21-21-21-21-2-2111-2-211-2-20000000000000000222200000000-1-1-1-1-1-1-1-100000000
χ38444444441-2441-21-21-21-21-21-2-2111-2-211-2-20000000000000000-2-2-2-2000000001111111100000000
χ39444444441-2-4-41-21-21-21-21-21-2-21-1-122-1-122000000000000000022-2-200000000-1-1-1-1111100000000
χ40444444441-2-4-41-21-21-21-21-21-2-21-1-122-1-1220000000000000000-2-222000000001111-1-1-1-100000000
χ4144444444-2144-21-21-21-21-21-211-2-2-211-2-21122222222000000000000-1-1-1-1-1-1-1-10000000000000000
χ4244444444-2144-21-21-21-21-21-211-2-2-211-2-211-2-2-2-2-2-2-2-2000000000000111111110000000000000000
χ4344444444-21-4-4-21-21-21-21-21-211-222-1-122-1-12222-2-2-2-2000000000000-1-1-1-111110000000000000000
χ4444444444-21-4-4-21-21-21-21-21-211-222-1-122-1-1-2-2-2-222220000000000001111-1-1-1-10000000000000000
χ45444-4-4-4-441-200-121-21-2-1-2-12-12213i−3i003i−3i0000000000000000000000000000003−33−3−i3i3−i3i300000000
χ46444-4-4-4-441-200-121-21-2-1-2-12-12213i−3i003i−3i000000000000000000000000000000−33−33i3−i3i3−i300000000
χ47444-4-4-4-441-200-121-21-2-1-2-12-1221−3i3i00−3i3i0000000000000000000000000000003−33−3i3−i3i3−i300000000
χ48444-4-4-4-441-200-121-21-2-1-2-12-1221−3i3i00−3i3i000000000000000000000000000000−33−33−i3i3−i3i300000000
χ49444-4-4-4-444400-4-44444-44-4-4-4-4-440000000000000000000000000000000000000000000000000000
χ5044-444-4-4-41-200-121-2-12121-2-12-2-13-300-330000000000000000000000000000003−3−33−333−300000000
χ5144-444-4-4-41-200-121-2-12121-2-12-2-13-300-33000000000000000000000000000000−333−33−3−3300000000
χ5244-444-4-4-41-200-121-2-12121-2-12-2-1-33003-30000000000000000000000000000003−3−333−3−3300000000
χ5344-444-4-4-41-200-121-2-12121-2-12-2-1-33003-3000000000000000000000000000000−333−3−333−300000000
χ5444-444-4-4-44400-4-444-4-44-444-4-44-40000000000000000000000000000000000000000000000000000
χ5544-4-4-444-41-24i−4i1-21-2-12-12-121-22-1ii−2i−2i−i−i2i2i00000000000000002-22i−2i00000000-1-111−i−iii00000000
χ5644-4-4-444-41-24i−4i1-21-2-12-12-121-22-1ii−2i−2i−i−i2i2i0000000000000000-22−2i2i0000000011-1-1ii−i−i00000000
χ5744-4-4-444-41-2−4i4i1-21-2-12-12-121-22-1−i−i2i2iii−2i−2i00000000000000002-2−2i2i00000000-1-111ii−i−i00000000
χ5844-4-4-444-41-2−4i4i1-21-2-12-12-121-22-1−i−i2i2iii−2i−2i0000000000000000-222i−2i0000000011-1-1−i−iii00000000
χ5944-4-4-444-4-214i−4i-21-212-12-12-1-21-12−2i−2iii2i2i−i−i2i2i−2i−2i22-2-2000000000000−i−iii-1-1110000000000000000
χ6044-4-4-444-4-214i−4i-21-212-12-12-1-21-12−2i−2iii2i2i−i−i−2i−2i2i2i-2-222000000000000ii−i−i11-1-10000000000000000
χ6144-4-4-444-4-21−4i4i-21-212-12-12-1-21-122i2i−i−i−2i−2iii2i2i−2i−2i-2-222000000000000−i−iii11-1-10000000000000000
χ6244-4-4-444-4-21−4i4i-21-212-12-12-1-21-122i2i−i−i−2i−2iii−2i−2i2i2i22-2-2000000000000ii−i−i-1-1110000000000000000
χ634-44-444-4-4-2100-212-1-21-2-12-12-112003i−3i003i−3i2-22-22i−2i2i−2i000000000000-11-11−ii−ii0000000000000000
χ644-44-444-4-4-2100-212-1-21-2-12-12-112003i−3i003i−3i-22-22−2i2i−2i2i0000000000001-11-1i−ii−i0000000000000000
χ654-44-444-4-4-2100-212-1-21-2-12-12-11200−3i3i00−3i3i2-22-2−2i2i−2i2i000000000000-11-11i−ii−i0000000000000000
χ664-44-444-4-4-2100-212-1-21-2-12-12-11200−3i3i00−3i3i-22-222i−2i2i−2i0000000000001-11-1−ii−ii0000000000000000
χ674-4-44-44-44-2100-212-12-121-212-1-1-2003-300-332i−2i−2i2i−2i2i2i−2i000000000000−iii−ii−i−ii0000000000000000
χ684-4-44-44-44-2100-212-12-121-212-1-1-2003-300-33−2i2i2i−2i2i−2i−2i2i000000000000i−i−ii−iii−i0000000000000000
χ694-4-44-44-44-2100-212-12-121-212-1-1-200-33003-32i−2i−2i2i2i−2i−2i2i000000000000−iii−i−iii−i0000000000000000
χ704-4-44-44-44-2100-212-12-121-212-1-1-200-33003-3−2i2i2i−2i−2i2i2i−2i000000000000i−i−iii−i−ii0000000000000000
χ71888-8-8-8-88-42004-2-42-42424-24-2-2-40000000000000000000000000000000000000000000000000000
χ7288-888-8-8-8-42004-2-424-2-4-2-424-2240000000000000000000000000000000000000000000000000000
χ738-888-8-88-82-400-24-242-4-242-42-44-20000000000000000000000000000000000000000000000000000
χ748-888-8-88-8-42004-24-2-424-2-42-42-240000000000000000000000000000000000000000000000000000
χ758-88-888-8-82-4002-4-242-424-24-24-4-20000000000000000000000000000000000000000000000000000
χ768-8-88-88-882-4002-4-24-24-2-42-4-24420000000000000000000000000000000000000000000000000000
χ778-8-8-88-8882-400-24-24-242-4-242-4-420000000000000000000000000000000000000000000000000000
χ788-8-8-88-888-42004-24-24-2-424-2-422-40000000000000000000000000000000000000000000000000000

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