Finite Group Databasebeta

← Group #11788924

Character table — Group #11788924

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order122223344446666663666666666661212121212121212441212121212121212121212121212121212121212224488884466881212121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1
χ91111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-11-11-1ii−i−i1-11-1i−i11-1-11-1ii−i−iii−i−iii−i−ii−i
χ101111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-11-11-1−i−iii1-11-1−ii11-1-11-1−i−iii−i−iii−i−iii−ii
χ111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11ii−i−i-11-11i−i-1-111-11ii−i−iii−i−i−i−iii−ii
χ121111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11−i−iii-11-11−ii-1-111-11−i−iii−i−iiiii−i−ii−i
χ131111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111111-11-1ii−i−i-111-1−ii-1-1111-1ii−i−i−i−iiiii−i−i−ii
χ141111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111111-11-1−i−iii-111-1i−i-1-1111-1−i−iiiii−i−i−i−iiii−i
χ151111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-11-11ii−i−i1-1-11−ii11-1-1-11ii−i−i−i−iii−i−iiii−i
χ161111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-11-11−i−iii1-1-11i−i11-1-1-11−i−iiiii−i−iii−i−i−ii
χ17222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-100-1-1-1-1-1-100000000000000
χ18222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2110011111100000000000000
χ19222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-21111-1-1-1-11111111122220000-2-2-1-1001111-1-100000000000000
χ20222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-20000221100-1-1-1-11100000000000000
χ21222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-22-222-2-2-1-1111111-1-1-1-111112-22-200002-2-1100-1-111-1100000000000000
χ22222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-22-222-2-2-1-1111111-1-1-1-11111-22-220000-221-10011-1-11-100000000000000
χ23222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-2-22-2-22211-1-111111111-1-1-1-12-22-20000-22-110011-1-1-1100000000000000
χ24222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-2-22-2-22211-1-111111111-1-1-1-1-22-2200002-21-100-1-1111-100000000000000
χ2522222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222000022000000-1-1-1-1-1-1-1-1000000
χ2622222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-200000011111111000000
χ2722222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-2-21111-2-2-2-2-1-1-1-111111111000022220000-2-2000000-1-1-1-11111000000
χ2822222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-2-21111-2-2-2-2-1-1-1-1111111110000-2-2-2-20000220000001111-1-1-1-1000000
χ2922222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-2-2112-2-1-11122-2-21111-1-1-1-1111100002i2i−2i−2i00002i−2i000000−i−iii−i−iii000000
χ3022222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-2-2112-2-1-11122-2-21111-1-1-1-111110000−2i−2i2i2i0000−2i2i000000ii−i−iii−i−i000000
χ3122222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-2-211-2211-1-1-2-22211111111-1-1-1-100002i2i−2i−2i0000−2i2i000000−i−iiiii−i−i000000
χ3222222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-2-211-2211-1-1-2-22211111111-1-1-1-10000−2i−2i2i2i00002i−2i000000ii−i−i−i−iii000000
χ33222-2-22222-2-2222-2-222-2-22-222-2-2-2-222-222-2-22-2000000000022-2-20000000000000000000000000000000000002i−2i2i−2i00
χ34222-2-22222-2-2222-2-222-2-22-222-2-2-2-222-222-2-22-2000000000022-2-2000000000000000000000000000000000000−2i2i−2i2i00
χ35222-2-222-2-222222-2-222-2-22-222-2-2-2-22-22-2-222-220000000000-2-2220000000000000000000000000000000000002-2-2200
χ36222-2-222-2-222222-2-222-2-22-222-2-2-2-22-22-2-222-220000000000-2-222000000000000000000000000000000000000-222-200
χ3722-22-2222-22-2-2-22-2-2222-2-22-2-222-2-22222-22-2-2-200000000002-22-20000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ3822-22-2222-22-2-2-22-2-2222-2-22-2-222-2-22222-22-2-2-200000000002-22-2000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ3922-22-222-22-22-2-22-2-2222-2-22-2-222-2-22-2-2-22-22220000000000-22-220000000000002-2-220000000000002-2-220000000000
χ4022-22-222-22-22-2-22-2-2222-2-22-2-222-2-22-2-2-22-22220000000000-22-22000000000000-222-2000000000000-222-20000000000
χ4122-22-2-122-22-211-1-2-22-1-11-2211-1-111-1-1-12-22-21100−i3i3−i3i30000-11-11−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i000000000000−ii−ii3−33−3000000
χ4222-22-2-122-22-211-1-2-22-1-11-2211-1-111-1-1-12-22-21100−i3i3−i3i30000-11-11−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i000000000000i−ii−i−33−33000000
χ4322-22-2-122-22-211-1-2-22-1-11-2211-1-111-1-1-12-22-21100i3−i3i3−i30000-11-11i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i000000000000−ii−ii−33−33000000
χ4422-22-2-122-22-211-1-2-22-1-11-2211-1-111-1-1-12-22-21100i3−i3i3−i30000-11-11i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i000000000000i−ii−i3−33−3000000
χ4522-22-2-12-22-2211-1-2-22-1-11-2211-1-111-111-22-22-1-100−i3i3i3−i300001-11-1−i3−i3i3i3i3i3−i3−i300002-2-22000000000000-111-1−i3i3i3−i3000000
χ4622-22-2-12-22-2211-1-2-22-1-11-2211-1-111-111-22-22-1-100−i3i3i3−i300001-11-1−i3−i3i3i3i3i3−i3−i30000-222-20000000000001-1-11i3−i3−i3i3000000
χ4722-22-2-12-22-2211-1-2-22-1-11-2211-1-111-111-22-22-1-100i3−i3−i3i300001-11-1i3i3−i3−i3−i3−i3i3i300002-2-22000000000000-111-1i3−i3−i3i3000000
χ4822-22-2-12-22-2211-1-2-22-1-11-2211-1-111-111-22-22-1-100i3−i3−i3i300001-11-1i3i3−i3−i3−i3−i3i3i30000-222-20000000000001-1-11−i3i3i3−i3000000
χ4922-2-22222-2-22-2-222222-22-2-2-2-2-2-22222-22-2-22-2200000000002-2-22000000002-2-220000002-2000000-2200000000000000
χ5022-2-22222-2-22-2-222222-22-2-2-2-2-2-22222-22-2-22-2200000000002-2-2200000000-222-2000000-220000002-200000000000000
χ5122-2-2222-222-2-2-222222-22-2-2-2-2-2-2222-22-222-22-20000000000-222-20000000022-2-200000022000000-2-200000000000000
χ5222-2-2222-222-2-2-222222-22-2-2-2-2-2-2222-22-222-22-20000000000-222-200000000-2-222000000-2-20000002200000000000000
χ5322-2-222-12-2-22-2-22-1-1-1-1-22111111-1-1-12-2-111-1-22000000−i3i3−i3i3-111-1−i3i3−i3i3−i3i3−i3i32-2-22000000-1100−i3i3−i3i31-100000000000000
χ5422-2-222-12-2-22-2-22-1-1-1-1-22111111-1-1-12-2-111-1-22000000−i3i3−i3i3-111-1−i3i3−i3i3−i3i3−i3i3-222-20000001-100i3−i3i3−i3-1100000000000000
χ5522-2-222-12-2-22-2-22-1-1-1-1-22111111-1-1-12-2-111-1-22000000i3−i3i3−i3-111-1i3−i3i3−i3i3−i3i3−i32-2-22000000-1100i3−i3i3−i31-100000000000000
χ5622-2-222-12-2-22-2-22-1-1-1-1-22111111-1-1-12-2-111-1-22000000i3−i3i3−i3-111-1i3−i3i3−i3i3−i3i3−i3-222-20000001-100−i3i3−i3i3-1100000000000000
χ5722-2-222-1-222-2-2-22-1-1-1-1-22111111-1-1-1-221-1-112-2000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i322-2-2000000-1-100−i3i3i3−i31100000000000000
χ5822-2-222-1-222-2-2-22-1-1-1-1-22111111-1-1-1-221-1-112-2000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i3-2-2220000001100i3−i3−i3i3-1-100000000000000
χ5922-2-222-1-222-2-2-22-1-1-1-1-22111111-1-1-1-221-1-112-2000000i3−i3−i3i31-1-11i3−i3i3−i3−i3i3−i3i322-2-2000000-1-100i3−i3−i3i31100000000000000
χ6022-2-222-1-222-2-2-22-1-1-1-1-22111111-1-1-1-221-1-112-2000000i3−i3−i3i31-1-11i3−i3i3−i3−i3i3−i3i3-2-2220000001100−i3i3i3−i3-1-100000000000000
χ6144444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ6344444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222224-4-2-222-2-222-1-1-1-11111-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222-4422-2-222-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ65444-4-44-244-4-444422-2-2-4-4-22-2-22222-24-4-2-2224-40000000000-2-222000000000000000000000000000000000000000000
χ66444-4-44-2-4-44444422-2-2-4-4-22-2-22222-2-4422-2-2-44000000000022-2-2000000000000000000000000000000000000000000
χ67444-4-4-2444-4-4-2-2-2-4-44-2224-4-2-22222-2-2244-4-4-220000000000-2-222000000000000000000000000000000000000000000
χ68444-4-4-24-4-444-2-2-2-4-44-2224-4-2-22222-22-2-4-4442-2000000000022-2-2000000000000000000000000000000000000000000
χ69444-4-4-2-244-4-4-2-2-222-2122-2211-1-1-1-11-22-2-222-22000000000011-1-13-3-333-3-330000000000000000000000000000000000
χ70444-4-4-2-244-4-4-2-2-222-2122-2211-1-1-1-11-22-2-222-22000000000011-1-1-333-3-333-30000000000000000000000000000000000
χ71444-4-4-2-2-4-444-2-2-222-2122-2211-1-1-1-112-222-2-22-20000000000-1-1113-3-33-333-30000000000000000000000000000000000
χ72444-4-4-2-2-4-444-2-2-222-2122-2211-1-1-1-112-222-2-22-20000000000-1-111-333-33-3-330000000000000000000000000000000000
χ7344-44-44-24-44-4-4-4422-2-24-42-222-2-222-244-22-22-4-40000000000-22-22000000000000000000000000000000000000000000
χ7444-44-44-2-44-44-4-4422-2-24-42-222-2-222-2-4-42-22-24400000000002-22-2000000000000000000000000000000000000000000
χ7544-44-4-2-24-44-422-222-21-222-2-1-111-1-11-2-2-22-222200−2i32i3−2i32i300001-11-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ7644-44-4-2-24-44-422-222-21-222-2-1-111-1-11-2-2-22-2222002i3−2i32i3−2i300001-11-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ7744-44-4-2-2-44-4422-222-21-222-2-1-111-1-11222-22-2-2-200−2i32i32i3−2i30000-11-11i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ7844-44-4-2-2-44-4422-222-21-222-2-1-111-1-11222-22-2-2-2002i3−2i3−2i32i30000-11-11−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ7944-4-44-244-4-4422-2444-22-2-4-42222-2-2-2-224-4-442-20000000000-222-2000000000000000000000000000000000000000000
χ8044-4-44-24-444-422-2444-22-2-4-42222-2-2-22-2-444-4-2200000000002-2-22000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-4422-2-2-2-212-222-1-1-1-1111-22-222-22-2000000−2i32i3−2i32i31-1-11i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000
χ8244-4-44-2-24-4-4422-2-2-2-212-222-1-1-1-1111-22-222-22-20000002i3−2i32i3−2i31-1-11−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000
χ8344-4-44-2-2-444-422-2-2-2-212-222-1-1-1-11112-22-2-22-22000000−2i32i32i3−2i3-111-1i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ8444-4-44-2-2-444-422-2-2-2-212-222-1-1-1-11112-22-2-22-220000002i3−2i3−2i32i3-111-1−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ858-800088000000-800-880000000000-80000000000000000000000000000000000000000000000000000000000000000
χ868-80008-4000000-8−4i34i34-400000000−4i34i340000000000000000000000000000000000000000000000000000000000000000
χ878-80008-4000000-84i3−4i34-4000000004i3−4i340000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000−4i34i3400-8-40000−4i34i3000040000000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004i3−4i3400-8-400004i3−4i3000040000000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34−4i34i34200002i3−2i36-62i3−2i3-20000000000000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344i3−4i34200002i3−2i3-66−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34−4i34i3420000−2i32i3-662i3−2i3-20000000000000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344i3−4i3420000−2i32i36-6−2i32i3-20000000000000000000000000000000000000000000000000000000000000000

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