Finite Group Databasebeta

← Group #11788892

Character table — Group #11788892

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order1222233444466666636666666666612121212121212122266666666666666661212121288888888888824242424242424242424242424242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1
χ91111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-11-1
χ101111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i−i−iiii−i−iiii−i−iii−i−i−i−iii−i−iii-11-11-11
χ111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iiiii−i−i−iii−i−i−iii−i−iiiii−i−iii−i−i-11-11-11
χ121111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-11-1
χ131111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−ii−iiii−i−i−i−iiiii−i−i−i−iii1-11-1-11
χ141111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i−i−iii−iii−iii−i−i−i−iii−i−iiiii−i−i-11-111-1
χ151111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iiiii−i−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-11-111-1
χ161111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iiii−ii−i−i−iiiii−i−i−i−iiiii−i−i1-11-1-11
χ17222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000
χ18222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000000011111111000000
χ19222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-2-2-2-211-2-21111111111-1-1-1-10000222200-2-200000000-1-1-1-11111000000
χ20222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-2-2-2-211-2-21111111111-1-1-1-10000-2-2-2-20022000000001111-1-1-1-1000000
χ21222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-2112-222-1-1-2-211-1-1-1-11111111100002i2i−2i−2i002i−2i00000000−i−iii−i−iii000000
χ22222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-2112-222-1-1-2-211-1-1-1-1111111110000−2i−2i2i2i00−2i2i00000000ii−i−iii−i−i000000
χ23222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-211-22-2-21122-1-11111-1-1-1-1111100002i2i−2i−2i00−2i2i00000000−i−iiiii−i−i000000
χ24222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-211-22-2-21122-1-11111-1-1-1-111110000−2i−2i2i2i002i−2i00000000ii−i−i−i−iii000000
χ2522222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000
χ2622222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000
χ2722222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-2-211-2-211-2-211111111-1-1-1-122220000-2-200-1-1-1-1111100000000000000
χ2822222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-2-211-2-211-2-211111111-1-1-1-1-2-2-2-2000022001111-1-1-1-100000000000000
χ2922222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-211-2-22-2-1-12211-2-2-1-1-1-1111111112i2i−2i−2i00002i−2i00−i−iii−i−iii00000000000000
χ3022222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-211-2-22-2-1-12211-2-2-1-1-1-111111111−2i−2i2i2i0000−2i2i00ii−i−iii−i−i00000000000000
χ3122222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-211-2-2-2211-2-2-1-1221111-1-1-1-111112i2i−2i−2i0000−2i2i00−i−iiiii−i−i00000000000000
χ3222222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-211-2-2-2211-2-2-1-1221111-1-1-1-11111−2i−2i2i2i00002i−2i00ii−i−i−i−iii00000000000000
χ33222-2-22222-2-222-2-2222-2-22-222-2-2-2-222-2222-2-2-200000000000000000022-2-200002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ34222-2-22222-2-222-2-2222-2-22-222-2-2-2-222-2222-2-2-200000000000000000022-2-20000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ35222-2-222-2-22222-2-2222-2-22-222-2-2-2-22-22-2-2-2222000000000000000000-2-22200002-2-220000000000002-2-220000000000
χ36222-2-222-2-22222-2-2222-2-22-222-2-2-2-22-22-2-2-2222000000000000000000-2-2220000-222-2000000000000-222-20000000000
χ37222-2-22-122-2-222112-1-1-2-2-11-1-11111-12-2-1-12-2110000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3-1-11100002i−2i2i−2i000000000000−ii−ii3−33−3000000
χ38222-2-22-122-2-222112-1-1-2-2-11-1-11111-12-2-1-12-2110000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3-1-1110000−2i2i−2i2i000000000000i−ii−i−33−33000000
χ39222-2-22-122-2-222112-1-1-2-2-11-1-11111-12-2-1-12-2110000i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3-1-11100002i−2i2i−2i000000000000−ii−ii−33−33000000
χ40222-2-22-122-2-222112-1-1-2-2-11-1-11111-12-2-1-12-2110000i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3-1-1110000−2i2i−2i2i000000000000i−ii−i3−33−3000000
χ41222-2-22-1-2-22222112-1-1-2-2-11-1-11111-1-2211-22-1-10000−i3i300i3−i3−i3−i3i3i3i3i3−i3−i311-1-100002-2-22000000000000-111-1−i3i3i3−i3000000
χ42222-2-22-1-2-22222112-1-1-2-2-11-1-11111-1-2211-22-1-10000−i3i300i3−i3−i3−i3i3i3i3i3−i3−i311-1-10000-222-20000000000001-1-11i3−i3−i3i3000000
χ43222-2-22-1-2-22222112-1-1-2-2-11-1-11111-1-2211-22-1-10000i3−i300−i3i3i3i3−i3−i3−i3−i3i3i311-1-100002-2-22000000000000-111-1i3−i3−i3i3000000
χ44222-2-22-1-2-22222112-1-1-2-2-11-1-11111-1-2211-22-1-10000i3−i300−i3i3i3i3−i3−i3−i3−i3i3i311-1-10000-222-20000000000001-1-11−i3i3i3−i3000000
χ4522-22-2222-22-2-2-2222222-2-2-2-2-222-2-22222-2-2-22-20000000000000000002-22-22i−2i2i−2i000000002i−2i2i−2i000000000000000000
χ4622-22-2222-22-2-2-2222222-2-2-2-2-222-2-22222-2-2-22-20000000000000000002-22-2−2i2i−2i2i00000000−2i2i−2i2i000000000000000000
χ4722-22-222-22-22-2-2222222-2-2-2-2-222-2-22-2-2-2222-22000000000000000000-22-222-2-22000000002-2-22000000000000000000
χ4822-22-222-22-22-2-2222222-2-2-2-2-222-2-22-2-2-2222-22000000000000000000-22-22-222-200000000-222-2000000000000000000
χ4922-22-2-122-22-21122-12-1-11-2-211-1-111-1-1-12-2112-200−i3i300−i3i300−i3i3−i3i3−i3i3−i3i3-11-112i−2i2i−2i00000000−ii−ii3−33−300000000000000
χ5022-22-2-122-22-21122-12-1-11-2-211-1-111-1-1-12-2112-200−i3i300−i3i300−i3i3−i3i3−i3i3−i3i3-11-11−2i2i−2i2i00000000i−ii−i−33−3300000000000000
χ5122-22-2-122-22-21122-12-1-11-2-211-1-111-1-1-12-2112-200i3−i300i3−i300i3−i3i3−i3i3−i3i3−i3-11-112i−2i2i−2i00000000−ii−ii−33−3300000000000000
χ5222-22-2-122-22-21122-12-1-11-2-211-1-111-1-1-12-2112-200i3−i300i3−i300i3−i3i3−i3i3−i3i3−i3-11-11−2i2i−2i2i00000000i−ii−i3−33−300000000000000
χ5322-22-2-12-22-221122-12-1-11-2-211-1-111-111-22-1-1-2200−i3i300i3−i300−i3i3−i3i3i3−i3i3−i31-11-12-2-2200000000-111-1−i3i3i3−i300000000000000
χ5422-22-2-12-22-221122-12-1-11-2-211-1-111-111-22-1-1-2200−i3i300i3−i300−i3i3−i3i3i3−i3i3−i31-11-1-222-2000000001-1-11i3−i3−i3i300000000000000
χ5522-22-2-12-22-221122-12-1-11-2-211-1-111-111-22-1-1-2200i3−i300−i3i300i3−i3i3−i3−i3i3−i3i31-11-12-2-2200000000-111-1i3−i3−i3i300000000000000
χ5622-22-2-12-22-221122-12-1-11-2-211-1-111-111-22-1-1-2200i3−i300−i3i300i3−i3i3−i3−i3i3−i3i31-11-1-222-2000000001-1-11−i3i3i3−i300000000000000
χ5722-2-22222-2-22-2-2-2-2222-22-22-2-2-2-22222-22-2-22-220000000000000000002-2-2200000000000000000000000000002-2-2200
χ5822-2-22222-2-22-2-2-2-2222-22-22-2-2-2-22222-22-2-22-220000000000000000002-2-220000000000000000000000000000-222-200
χ5922-2-2222-222-2-2-2-2-2222-22-22-2-2-2-2222-22-222-22-2000000000000000000-222-2000000000000000000000000000022-2-200
χ6022-2-2222-222-2-2-2-2-2222-22-22-2-2-2-2222-22-222-22-2000000000000000000-222-20000000000000000000000000000-2-22200
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
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-422222222-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ6344444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222224-4-2-2-2-222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222-442222-2-2-2-2-1-1-1-11111-1-1-1-10000000000000000000000000000000000
χ65444-4-4-2444-4-4-2-2-4-4-24-2224-4-2-22222-2-2244-22-4-4000000000000000000-2-2220000000000000000000000000000000000
χ66444-4-4-24-4-444-2-2-4-4-24-2224-4-2-22222-22-2-4-42-24400000000000000000022-2-20000000000000000000000000000000000
χ67444-4-4-2-244-4-4-2-222-2-2122-2211-1-1-1-11-22-2-2-22220000−2i32i300−2i32i3i3i3−i3−i3i3i3−i3−i311-1-10000000000000000000000000000000000
χ68444-4-4-2-244-4-4-2-222-2-2122-2211-1-1-1-11-22-2-2-222200002i3−2i3002i3−2i3−i3−i3i3i3−i3−i3i3i311-1-10000000000000000000000000000000000
χ69444-4-4-2-2-4-444-2-222-2-2122-2211-1-1-1-112-2222-2-2-20000−2i32i3002i3−2i3i3i3−i3−i3−i3−i3i3i3-1-1110000000000000000000000000000000000
χ70444-4-4-2-2-4-444-2-222-2-2122-2211-1-1-1-112-2222-2-2-200002i3−2i300−2i32i3−i3−i3i3i3i3i3−i3−i3-1-1110000000000000000000000000000000000
χ7144-44-44-24-44-4-4-4-2-24-2-24-42222-2-222-244-22-4-4-22000000000000000000-22-220000000000000000000000000000000000
χ7244-44-44-2-44-44-4-4-2-24-2-24-42222-2-222-2-4-42-2442-20000000000000000002-22-20000000000000000000000000000000000
χ7344-44-4-2-24-44-422-2-2-2-21-2222-1-111-1-11-2-2-2222-2200−2i32i300−2i32i300i3−i3i3−i3i3−i3i3−i31-11-10000000000000000000000000000000000
χ7444-44-4-2-24-44-422-2-2-2-21-2222-1-111-1-11-2-2-2222-22002i3−2i3002i3−2i300−i3i3−i3i3−i3i3−i3i31-11-10000000000000000000000000000000000
χ7544-44-4-2-2-44-4422-2-2-2-21-2222-1-111-1-11222-2-2-22-200−2i32i3002i3−2i300i3−i3i3−i3−i3i3−i3i3-11-110000000000000000000000000000000000
χ7644-44-4-2-2-44-4422-2-2-2-21-2222-1-111-1-11222-2-2-22-2002i3−2i300−2i32i300−i3i3−i3i3i3−i3i3−i3-11-110000000000000000000000000000000000
χ7744-4-444-24-4-44-4-4224-2-2-442-22222-2-2-24-4-22-442-2000000000000000000-222-20000000000000000000000000000000000
χ7844-4-444-2-444-4-4-4224-2-2-442-22222-2-2-2-442-24-4-220000000000000000002-2-220000000000000000000000000000000000
χ7944-4-44-244-4-4422-4-4-24-22-2-442222-2-2-2-224-42-2-44000000000000000000-222-20000000000000000000000000000000000
χ8044-4-44-24-444-422-4-4-24-22-2-442222-2-2-22-2-44-224-40000000000000000002-2-220000000000000000000000000000000000
χ8144-4-44-2-24-4-442222-2-212-22-2-1-1-1-1111-22-222-22-200000000003-3-333-3-331-1-110000000000000000000000000000000000
χ8244-4-44-2-24-4-442222-2-212-22-2-1-1-1-1111-22-222-22-20000000000-333-3-333-31-1-110000000000000000000000000000000000
χ8344-4-44-2-2-444-42222-2-212-22-2-1-1-1-11112-22-2-22-2200000000003-3-33-333-3-111-10000000000000000000000000000000000
χ8444-4-44-2-2-444-42222-2-212-22-2-1-1-1-11112-22-2-22-220000000000-333-33-3-33-111-10000000000000000000000000000000000
χ858-80008800000000-8-880000000000-80000000000000000000000000000000000000000000000000000000000000000
χ868-80008-4000000−4i34i3-84-4000000−4i34i30040000000000000000000000000000000000000000000000000000000000000000
χ878-80008-40000004i3−4i3-84-40000004i3−4i30040000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000−4i34i3004-8-40000−4i34i3000040000000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004i3−4i3004-8-400004i3−4i3000040000000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i3−4i34i344200002i3−2i32i3−2i36-6-20000000000000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i34i3−4i344200002i3−2i3−2i32i3-66-20000000000000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i3−4i34i34420000−2i32i32i3−2i3-66-20000000000000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i34i3−4i34420000−2i32i3−2i32i36-6-20000000000000000000000000000000000000000000000000000000000000000

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