Finite Group Databasebeta

← Group #11788790

Character table — Group #11788790

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order12222334444666666222236666666666612121212121212126666666666666666121212122444668888121212121212242424242424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ611111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1
χ911-11-11111-1-1-1-1111111-1-111-1-1-111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-11-111i−ii−i11-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011-11-11111-1-1-1-1111111-1-111-1-1-111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-11-111−ii−ii11-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ1111-11-11111-1-1-1-1111111-1-111-1-1-111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-11-11-1-1i−ii−i-1-11111ii−i−iii−i−i−i−iii−i−iii
χ1211-11-11111-1-1-1-1111111-1-111-1-1-111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-11-11-1-1−ii−ii-1-11111−i−iii−i−iiiii−i−iii−i−i
χ1311-11-11111-1-1-1-11111-1-11111-1-1-111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11-1-1111i−i−ii-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ1411-11-11111-1-1-1-11111-1-11111-1-1-111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11-1-1111−iii−i-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ1511-11-11111-1-1-1-11111-1-11111-1-1-111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1-1-1i−i−ii11-1-111ii−i−i−i−iii−i−iiiii−i−i
χ1611-11-11111-1-1-1-11111-1-11111-1-1-111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1-1-1−iii−i11-1-111−i−iiiii−i−iii−i−i−i−iii
χ172222222-2-2-2-22222222-22-2222222222222-2-2-2-2-2-2-2-22-22-22-22-222-2-222-2-2-2-2-2-200000000000000000000000000000000
χ182222222-2-2-2-2222222-22-22222222222222-2-2-2-2-2-2-2-2-22-22-22-22-2-222-2-222-2-2-2-200000000000000000000000000000000
χ19222222-12222222-1-1-12222-122-1-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-10000-1-1-1-1-1-10000000000000000
χ20222222-12222222-1-1-12222-122-1-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21100001111110000000000000000
χ21222222-12222222-1-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2111111111111-1-1-1-122-2-2-1-100001111-1-10000000000000000
χ22222222-12222222-1-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-2-2111111111111-1-1-1-1-2-222110000-1-1-1-1110000000000000000
χ23222222-1-2-2-2-2222-1-1-12-22-2-122-1-1-1-1-1-1-1-1-1-2-21111-2-22-22-2-11-11-1-111-1-11111110000−i3i30000−i3i3−i3i3−i3i30000000000000000
χ24222222-1-2-2-2-2222-1-1-12-22-2-122-1-1-1-1-1-1-1-1-1-2-21111-2-22-22-2-11-11-1-111-1-11111110000i3−i30000i3−i3i3−i3i3−i30000000000000000
χ25222222-1-2-2-2-2222-1-1-1-22-22-122-1-1-1-1-1-1-1-1-1-2-21111-2-2-22-221-11-111-1-111-1-111110000−i3i30000i3−i3i3−i3−i3i30000000000000000
χ26222222-1-2-2-2-2222-1-1-1-22-22-122-1-1-1-1-1-1-1-1-1-2-21111-2-2-22-221-11-111-1-111-1-111110000i3−i30000−i3i3−i3i3i3−i30000000000000000
χ2722222-122222-1-1-12222222-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000002222000000-1-1-1-1-1-1-1-100000000
χ2822222-122222-1-1-12222222-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-20000001111111100000000
χ2922222-122222-1-1-1222-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-12222-1-11111-2-2-2-211111111-1-1-1-100000022-2-2000000-1-1-1-1111100000000
χ3022222-122222-1-1-1222-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-12222-1-11111-2-2-2-211111111-1-1-1-1000000-2-2220000001111-1-1-1-100000000
χ3122222-12-2-2-2-2-1-1-12222-22-2-1-1-122-1-1-1-1-1-1-111-2-2-2-211-11-112-22-2-1-111-1-111111100000000000000003−33−33−33−300000000
χ3222222-12-2-2-2-2-1-1-12222-22-2-1-1-122-1-1-1-1-1-1-111-2-2-2-211-11-112-22-2-1-111-1-11111110000000000000000−33−33−33−3300000000
χ3322222-12-2-2-2-2-1-1-1222-22-22-1-1-122-1-1-1-1-1-1-111-2-2-2-2111-11-1-22-2211-1-111-1-1111100000000000000003−33−3−33−3300000000
χ3422222-12-2-2-2-2-1-1-1222-22-22-1-1-122-1-1-1-1-1-1-111-2-2-2-2111-11-1-22-2211-1-111-1-111110000000000000000−33−333−33−300000000
χ35222-2-2222-22-2222-2-2200002-2-22-2-2-222-2-222-22-22-22-200000000000000002-22-200000000000000000000000000002i−2i2i−2i
χ36222-2-2222-22-2222-2-2200002-2-22-2-2-222-2-222-22-22-22-200000000000000002-22-20000000000000000000000000000−2i2i−2i2i
χ37222-2-222-22-22222-2-2200002-2-22-2-2-222-2-22-22-22-22-220000000000000000-22-220000000000000000000000002i−2i2i−2i0000
χ38222-2-222-22-22222-2-2200002-2-22-2-2-222-2-22-22-22-22-220000000000000000-22-22000000000000000000000000−2i2i−2i2i0000
χ3922-22-222-2-222-2-222222-2-2222-2-2-222-2-2-2-22-2-2-2-222222-2-222-2-2222-2-2-2-222-2-22200000000000000000000000000000000
χ4022-22-222-2-222-2-22222-222-222-2-2-222-2-2-2-22-2-2-2-22222-222-2-222-2-2-22222-2-2-2-22200000000000000000000000000000000
χ4122-22-22-122-2-2-2-22-1-1-122-2-2-12-211-1-11111-122-1-111-2-222-2-2-1-111-1-1-1-11111-1-1112-22-2-1-10000-1-111110000000000000000
χ4222-22-22-122-2-2-2-22-1-1-122-2-2-12-211-1-11111-122-1-111-2-222-2-2-1-111-1-1-1-11111-1-111-22-2211000011-1-1-1-10000000000000000
χ4322-22-22-122-2-2-2-22-1-1-1-2-222-12-211-1-11111-122-1-111-2-2-2-22211-1-11111-1-1-1-1-1-1112-2-22-1-1000011-1-1110000000000000000
χ4422-22-22-122-2-2-2-22-1-1-1-2-222-12-211-1-11111-122-1-111-2-2-2-22211-1-11111-1-1-1-1-1-111-222-2110000-1-111-1-10000000000000000
χ4522-22-22-1-2-222-2-22-1-1-12-2-22-12-211-1-11111-1-2-211-1-1222-2-22-111-1-1-11111-1-111-1-10000−i3i30000−i3i3i3−i3i3−i30000000000000000
χ4622-22-22-1-2-222-2-22-1-1-12-2-22-12-211-1-11111-1-2-211-1-1222-2-22-111-1-1-11111-1-111-1-10000i3−i30000i3−i3−i3i3−i3i30000000000000000
χ4722-22-22-1-2-222-2-22-1-1-1-222-2-12-211-1-11111-1-2-211-1-122-222-21-1-1111-1-1-1-11111-1-10000−i3i30000i3−i3−i3i3i3−i30000000000000000
χ4822-22-22-1-2-222-2-22-1-1-1-222-2-12-211-1-11111-1-2-211-1-122-222-21-1-1111-1-1-1-11111-1-10000i3−i30000−i3i3i3−i3−i3i30000000000000000
χ4922-22-2-1222-2-211-122222-2-2-1-11-2-2-1-11111-1-1-122-2-211-1-11122-2-2-1-1-1-11111-1-1110000002i−2i2i−2i000000−i−iii−i−iii00000000
χ5022-22-2-1222-2-211-122222-2-2-1-11-2-2-1-11111-1-1-122-2-211-1-11122-2-2-1-1-1-11111-1-111000000−2i2i−2i2i000000ii−i−iii−i−i00000000
χ5122-22-2-1222-2-211-1222-2-222-1-11-2-2-1-11111-1-1-122-2-21111-1-1-2-2221111-1-1-1-1-1-1110000002i−2i−2i2i000000−i−iiiii−i−i00000000
χ5222-22-2-1222-2-211-1222-2-222-1-11-2-2-1-11111-1-1-122-2-21111-1-1-2-2221111-1-1-1-1-1-111000000−2i2i2i−2i000000ii−i−i−i−iii00000000
χ5322-22-2-12-2-22211-12222-2-22-1-11-2-2-1-11111-111-2-222-1-1-111-12-2-22-1-11111-1-111-1-10000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ5422-22-2-12-2-22211-12222-2-22-1-11-2-2-1-11111-111-2-222-1-1-111-12-2-22-1-11111-1-111-1-10000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ5522-22-2-12-2-22211-1222-222-2-1-11-2-2-1-11111-111-2-222-1-11-1-11-222-211-1-1-1-11111-1-10000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ5622-22-2-12-2-22211-1222-222-2-1-11-2-2-1-11111-111-2-222-1-11-1-11-222-211-1-1-1-11111-1-10000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ5722-2-22222-2-22-2-22-2-2200002-22-22-2-2-2-22222-22-2-22-2200000000000000002-2-2200000000000000000000000000002-2-22
χ5822-2-22222-2-22-2-22-2-2200002-22-22-2-2-2-22222-22-2-22-2200000000000000002-2-220000000000000000000000000000-222-2
χ5922-2-2222-222-2-2-22-2-2200002-22-22-2-2-2-2222-22-222-22-20000000000000000-222-20000000000000000000000002-2-220000
χ6022-2-2222-222-2-2-22-2-2200002-22-22-2-2-2-2222-22-222-22-20000000000000000-222-2000000000000000000000000-222-20000
χ6144444-2-24444-2-2-2-2-2-244441-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-2-4-4-4-41-2-2-2-21111111-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1111100000000000000000000000000000000
χ6344444-2-2-4-4-4-4-2-2-2-2-2-24-44-41-2-2-2-2111111122222222-22-22-22-2211-1-111-1-1-1-1-1-100000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2-2-2-44-441-2-2-2-21111111222222222-22-22-22-2-1-111-1-111-1-1-1-100000000000000000000000000000000
χ65444-4-44-24-44-444422-20000-2-4-4-2222-2-222-24-4-22-224-40000000000000000-22-2200000000000000000000000000000000
χ66444-4-44-2-44-4444422-20000-2-4-4-2222-2-222-2-442-22-2-4400000000000000002-22-200000000000000000000000000000000
χ67444-4-4-244-44-4-2-2-2-4-440000-2224-422-2-222-2-224-44-4-220000000000000000-22-2200000000000000000000000000000000
χ68444-4-4-24-44-44-2-2-2-4-440000-2224-422-2-222-22-2-44-442-200000000000000002-22-200000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-2-222-20000122-22-1-111-1-11-22-22-22-22000000003-33-33-33-31-11-100000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-2-222-20000122-22-1-111-1-11-22-22-22-2200000000-33-33-33-331-11-100000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-2-222-20000122-22-1-111-1-112-22-22-22-2000000003-3-333-3-33-11-1100000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-2-222-20000122-22-1-111-1-112-22-22-22-200000000-333-3-333-3-11-1100000000000000000000000000000000
χ7344-44-4-2-244-4-422-2-2-2-244-4-41-222211-1-1-1-11-2-2-2-22222-2-222-2-2221111-1-1-1-111-1-100000000000000000000000000000000
χ7444-44-4-2-244-4-422-2-2-2-2-4-4441-222211-1-1-1-11-2-2-2-2222222-2-222-2-2-1-1-1-1111111-1-100000000000000000000000000000000
χ7544-44-4-2-2-4-44422-2-2-2-24-4-441-222211-1-1-1-112222-2-2-2-2-222-2-222-211-1-1-1-111-1-11100000000000000000000000000000000
χ7644-44-4-2-2-4-44422-2-2-2-2-444-41-222211-1-1-1-112222-2-2-2-22-2-222-2-22-1-11111-1-1-1-11100000000000000000000000000000000
χ7744-4-444-24-4-44-4-4422-20000-2-442-22222-2-2-24-4-222-2-440000000000000000-222-200000000000000000000000000000000
χ7844-4-444-2-444-4-4-4422-20000-2-442-22222-2-2-2-442-2-224-400000000000000002-2-2200000000000000000000000000000000
χ7944-4-44-244-4-4422-2-4-440000-22-2-442222-2-2-2-224-4-442-20000000000000000-222-200000000000000000000000000000000
χ8044-4-44-24-444-422-2-4-440000-22-2-442222-2-2-22-2-444-4-2200000000000000002-2-2200000000000000000000000000000000
χ8144-4-44-2-24-4-4422-222-2000012-22-2-1-1-1-1111-22-222-22-2000000003-33-3-33-331-1-1100000000000000000000000000000000
χ8244-4-44-2-24-4-4422-222-2000012-22-2-1-1-1-1111-22-222-22-200000000-33-333-33-31-1-1100000000000000000000000000000000
χ8344-4-44-2-2-444-422-222-2000012-22-2-1-1-1-11112-22-2-22-22000000003-3-33-333-3-111-100000000000000000000000000000000
χ8444-4-44-2-2-444-422-222-2000012-22-2-1-1-1-11112-22-2-22-2200000000-333-33-3-33-111-100000000000000000000000000000000
χ858-800088000000-800-8000080000000000-8000000000000000000000000000000000000000000000000000000000000
χ868-80008-4000000-8−4i34i340000-40000−4i34i300004000000000000000000000000000000000000000000000000000000000000
χ878-80008-4000000-84i3−4i340000-400004i3−4i300004000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000−4i34i3400-80000-4000000−4i34i3004000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004i3−4i3400-80000-40000004i3−4i3004000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34−4i34i340000200002i3−2i32i3−2i36-6-2000000000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344i3−4i34000020000−2i32i32i3−2i3-66-2000000000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34−4i34i340000200002i3−2i3−2i32i3-66-2000000000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344i3−4i34000020000−2i32i3−2i32i36-6-2000000000000000000000000000000000000000000000000000000000000

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