Finite Group Databasebeta

← Group #11786010

Character table — Group #11786010

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order124422233444661212121236666666668888121212121212121212126612122424242424242424242424242424242488884444888812121212121212122424242424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ71111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ81111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ91111-1-1111-1-11111111111-1-1111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-1-1-1
χ101111-1-1111-1-11111111111-1-1111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-1-1-1
χ111111-1-1111-1-11111111111-1-1111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-11111
χ121111-1-1111-1-11111111111-1-1111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-11111
χ131111-1-1111-1-11111111111-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-1-111-1-1
χ141111-1-1111-1-11111111111-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-1
χ151111-1-1111-1-11111111111-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i11-1-111
χ161111-1-1111-1-11111111111-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii11-1-111
χ1722222222-12222-122-1-1-12-12-1-1-1-12-122222-12-1-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000002200220000-1-1-1-10000-1-1-1-1000000
χ1822222222-12222-122-1-1-12-12-1-1-1-12-122222-12-1-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000-2-200-2-20000111100001111000000
χ1922222222-12222-122-1-1-12-12-1-1-1-12-1-2-2-2-22-12-1-1-1-1-12-1-1-1-1-1-2-211-2-211111111110000002200-2-20000-1-1-1-100001111000000
χ2022222222-12222-122-1-1-12-12-1-1-1-12-1-2-2-2-22-12-1-1-1-1-12-1-1-1-1-1-2-211-2-21111111111000000-2-20022000011110000-1-1-1-1000000
χ212222222-12222-12-1-122-1-12-12-1-1-1-122222-12-12-1-1-1-1-12-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1000022002200-1-1-1-10000-1-1-1-10000000000
χ222222222-12222-12-1-122-1-12-12-1-1-1-122222-12-12-1-1-1-1-12-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-200-2-2001111000011110000000000
χ232222222-12222-12-1-122-1-12-12-1-1-1-12-2-2-2-2-12-12-1-1-1-1-12-1-1-1-111-2-211-2-21111111100002200-2-200-1-1-1-1000011110000000000
χ242222222-12222-12-1-122-1-12-12-1-1-1-12-2-2-2-2-12-12-1-1-1-1-12-1-1-1-111-2-211-2-2111111110000-2-200220011110000-1-1-1-10000000000
χ2522222-2-222-22-22222222-2-222-2-22-2-20000-2-2-2-2-2-222222-22-2000000000000000000000000000000000000000000002i−2i2i−2i00
χ2622222-2-222-22-22222222-2-222-2-22-2-20000-2-2-2-2-2-222222-22-200000000000000000000000000000000000000000000−2i2i−2i2i00
χ272222-22-2222-2-22222222-2-2-2-2-2-22220000-2-222-2-222-2-2-22-22000000000000000000000000000000000000000000002i−2i−2i2i00
χ282222-22-2222-2-22222222-2-2-2-2-2-22220000-2-222-2-222-2-2-22-2200000000000000000000000000000000000000000000−2i2i2i−2i00
χ292222-2-222-1-2-222-122-1-1-12-1-21-1-1-1-2122-2-22-1-21-1-1-1-1-21111122-1-1-2-211-1-1-1-111110000002i−2i002i−2i0000−i−iii0000−i−iii000000
χ302222-2-222-1-2-222-122-1-1-12-1-21-1-1-1-2122-2-22-1-21-1-1-1-1-21111122-1-1-2-211-1-1-1-11111000000−2i2i00−2i2i0000ii−i−i0000ii−i−i000000
χ312222-2-222-1-2-222-122-1-1-12-1-21-1-1-1-21-2-2222-1-21-1-1-1-1-211111-2-21122-1-11111-1-1-1-10000002i−2i00−2i2i0000−i−iii0000ii−i−i000000
χ322222-2-222-1-2-222-122-1-1-12-1-21-1-1-1-21-2-2222-1-21-1-1-1-1-211111-2-21122-1-11111-1-1-1-1000000−2i2i002i−2i0000ii−i−i0000−i−iii000000
χ332222-2-22-12-2-22-12-1-122-1-121-2-1-1-11-222-2-2-121-2-1-1-1-11-21111-1-12211-2-2-1-1-1-1111100002i−2i002i−2i00−i−iii0000−i−iii0000000000
χ342222-2-22-12-2-22-12-1-122-1-121-2-1-1-11-222-2-2-121-2-1-1-1-11-21111-1-12211-2-2-1-1-1-111110000−2i2i00−2i2i00ii−i−i0000ii−i−i0000000000
χ352222-2-22-12-2-22-12-1-122-1-121-2-1-1-11-2-2-222-121-2-1-1-1-11-2111111-2-2-1-1221111-1-1-1-100002i−2i00−2i2i00−i−iii0000ii−i−i0000000000
χ362222-2-22-12-2-22-12-1-122-1-121-2-1-1-11-2-2-222-121-2-1-1-1-11-2111111-2-2-1-1221111-1-1-1-10000−2i2i002i−2i00ii−i−i0000−i−iii0000000000
χ3722-2-222222-2-2-222-2-2-2-222222222222i−2i2i−2i-2-2-2-2-2-2-2-2-2-222-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ3822-2-222222-2-2-222-2-2-2-22222222222−2i2i−2i2i-2-2-2-2-2-2-2-2-2-222-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ3922-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-12i−2i2i−2i-21-211111-21-1-1112i−2i−ii2i−2i−ii−i−iii−i−iii0000000000000000−i3i3−i3i300003−33−3000000
χ4022-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-12i−2i2i−2i-21-211111-21-1-1112i−2i−ii2i−2i−ii−i−iii−i−iii0000000000000000i3−i3i3−i30000−33−33000000
χ4122-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-1−2i2i−2i2i-21-211111-21-1-111−2i2ii−i−2i2ii−iii−i−iii−i−i0000000000000000−i3i3−i3i30000−33−33000000
χ4222-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-1−2i2i−2i2i-21-211111-21-1-111−2i2ii−i−2i2ii−iii−i−iii−i−i0000000000000000i3−i3i3−i300003−33−3000000
χ4322-2-2222-12-2-2-2-1211-2-2-1-12-12-1-1-1-122i−2i2i−2i1-21-211111-2-1-111−ii2i−2i−ii2i−2i−i−iii−i−iii000000000000−i3i3−i3i300003−33−30000000000
χ4422-2-2222-12-2-2-2-1211-2-2-1-12-12-1-1-1-122i−2i2i−2i1-21-211111-2-1-111−ii2i−2i−ii2i−2i−i−iii−i−iii000000000000i3−i3i3−i30000−33−330000000000
χ4522-2-2222-12-2-2-2-1211-2-2-1-12-12-1-1-1-12−2i2i−2i2i1-21-211111-2-1-111i−i−2i2ii−i−2i2iii−i−iii−i−i000000000000−i3i3−i3i30000−33−330000000000
χ4622-2-2222-12-2-2-2-1211-2-2-1-12-12-1-1-1-12−2i2i−2i2i1-21-211111-2-1-111i−i−2i2ii−i−2i2iii−i−iii−i−i000000000000i3−i3i3−i300003−33−30000000000
χ4722-2-22-2-2222-2222-2-2-2-22-2-222-2-22-2-20000222222-2-2-2-22-2-22000000000000000022-2-200000000000000000000000000002-2
χ4822-2-22-2-2222-2222-2-2-2-22-2-222-2-22-2-20000222222-2-2-2-22-2-220000000000000000-2-2220000000000000000000000000000-22
χ4922-2-2-22-222-22222-2-2-2-22-2-2-2-2-2-2222000022-2-222-2-222-222-2000000000000000022-2-20000000000000000000000000000-22
χ5022-2-2-22-222-22222-2-2-2-22-2-2-2-2-2-2222000022-2-222-2-222-222-20000000000000000-2-22200000000000000000000000000002-2
χ5122-2-2-2-222222-222-2-2-2-2222-2-2222-2-22i−2i−2i2i-2-222-2-2-2-222-2-2222i−2i2i−2i−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000
χ5222-2-2-2-222222-222-2-2-2-2222-2-2222-2-2−2i2i2i−2i-2-222-2-2-2-222-2-222−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000
χ5322-2-2-2-222-122-22-1-2-211-12-1-21-1-1-1-212i−2i−2i2i-212-111112-111-1-12i−2i−ii−2i2ii−i−i−iiiii−i−i00000000000000003−3−330000i3−i3−i3i3000000
χ5422-2-2-2-222-122-22-1-2-211-12-1-21-1-1-1-212i−2i−2i2i-212-111112-111-1-12i−2i−ii−2i2ii−i−i−iiiii−i−i0000000000000000−333−30000−i3i3i3−i3000000
χ5522-2-2-2-222-122-22-1-2-211-12-1-21-1-1-1-21−2i2i2i−2i-212-111112-111-1-1−2i2ii−i2i−2i−iiii−i−i−i−iii00000000000000003−3−330000−i3i3i3−i3000000
χ5622-2-2-2-222-122-22-1-2-211-12-1-21-1-1-1-21−2i2i2i−2i-212-111112-111-1-1−2i2ii−i2i−2i−iiii−i−i−i−iii0000000000000000−333−30000i3−i3−i3i3000000
χ5722-2-2-2-22-1222-2-1211-2-2-1-121-2-1-1-11-22i−2i−2i2i1-2-121111-1211-1-1−ii2i−2ii−i−2i2i−i−iiiii−i−i0000000000003−3−330000i3−i3−i3i30000000000
χ5822-2-2-2-22-1222-2-1211-2-2-1-121-2-1-1-11-22i−2i−2i2i1-2-121111-1211-1-1−ii2i−2ii−i−2i2i−i−iiiii−i−i000000000000−333−30000−i3i3i3−i30000000000
χ5922-2-2-2-22-1222-2-1211-2-2-1-121-2-1-1-11-2−2i2i2i−2i1-2-121111-1211-1-1i−i−2i2i−ii2i−2iii−i−i−i−iii0000000000003−3−330000−i3i3i3−i30000000000
χ6022-2-2-2-22-1222-2-1211-2-2-1-121-2-1-1-11-2−2i2i2i−2i1-2-121111-1211-1-1i−i−2i2i−ii2i−2iii−i−i−i−iii000000000000−333−30000i3−i3−i3i30000000000
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-24444-2-2-2-21111-2-21111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-4-4-4-4-2-2-2-21111-2-2111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ6344444-4-44-2-44-44-244-2-2-2-424-222-2-420000-42-4222-2-24-2-22-2200000000000000000000000000000000000000000000000000
χ6444444-4-4-24-44-4-24-2-244-22-4-2422-22-400002-42-422-2-2-24-22-2200000000000000000000000000000000000000000000000000
χ6544444-4-4-2-2-44-4-2-2-2-2-2-2122-2-2-1-112200002222-1-111-2-21-11-1000000003-33-33-33-30000000000000000000000000000000000
χ6644444-4-4-2-2-44-4-2-2-2-2-2-2122-2-2-1-112200002222-1-111-2-21-11-100000000-33-33-33-330000000000000000000000000000000000
χ674444-44-44-24-4-44-244-2-2-2-42-4222-24-20000-424-222-2-2-422-22-200000000000000000000000000000000000000000000000000
χ684444-44-4-244-4-4-24-2-244-22-42-422-2-2400002-4-2422-2-22-42-22-200000000000000000000000000000000000000000000000000
χ694444-44-4-2-24-4-4-2-2-2-2-2-212222-1-11-2-2000022-2-2-1-11122-11-11000000003-33-3-33-330000000000000000000000000000000000
χ704444-44-4-2-24-4-4-2-2-2-2-2-212222-1-11-2-2000022-2-2-1-11122-11-1100000000-33-333-33-30000000000000000000000000000000000
χ714444-4-44-2-2-4-44-2-2-2-2-2-21-2-2221112244-4-4-2-222111122-1-1-1-1-2-2-2-222221111-1-1-1-10000000000000000000000000000000000
χ724444-4-44-2-2-4-44-2-2-2-2-2-21-2-22211122-4-444-2-222111122-1-1-1-12222-2-2-2-2-1-1-1-111110000000000000000000000000000000000
χ7344-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-24i−4i4i−4i2222-1-1-1-12211-1-1−2i2i−2i2i−2i2i−2i2iii−i−iii−i−i0000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-2−4i4i−4i4i2222-1-1-1-12211-1-12i−2i2i−2i2i−2i2i−2i−i−iii−i−iii0000000000000000000000000000000000
χ7544-4-44-4-44-24-444-2-4-422-2-424-222-2-4200004-24-2-2-222-42-222-200000000000000000000000000000000000000000000000000
χ7644-4-44-4-4-244-44-2422-4-4-22-4-2422-22-40000-24-24-2-2222-4-222-200000000000000000000000000000000000000000000000000
χ7744-4-44-4-4-2-24-44-2-22222122-2-2-1-11220000-2-2-2-211-1-1221-1-11000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ7844-4-44-4-4-2-24-44-2-22222122-2-2-1-11220000-2-2-2-211-1-1221-1-1100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000
χ7944-4-4-44-44-2-4444-2-4-422-2-42-4222-24-200004-2-42-2-2224-22-2-2200000000000000000000000000000000000000000000000000
χ8044-4-4-44-4-24-444-2422-4-4-22-42-422-2-240000-242-4-2-222-242-2-2200000000000000000000000000000000000000000000000000
χ8144-4-4-44-4-2-2-444-2-2222212222-1-11-2-20000-2-22211-1-1-2-2-111-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ8244-4-4-44-4-2-2-444-2-2222212222-1-11-2-20000-2-22211-1-1-2-2-111-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ8344-4-4-4-44-2-244-4-2-222221-2-222111224i−4i−4i4i22-2-2-1-1-1-1-2-2-1-111−2i2i−2i2i2i−2i2i−2iii−i−i−i−iii0000000000000000000000000000000000
χ8444-4-4-4-44-2-244-4-2-222221-2-22211122−4i4i4i−4i22-2-2-1-1-1-1-2-2-1-1112i−2i2i−2i−2i2i−2i2i−i−iiiii−i−i0000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i4000000-40000000000004i−4i000000000000000000000022−22−2i22i2000000000000000000000000000000
χ864-44i−4i00044000-4-44i−4i4i−4i4000000-40000000000004i−4i0000000000000000000000−22222i2−2i2000000000000000000000000000000
χ874-4−4i4i00044000-4-4−4i4i−4i4i4000000-4000000000000−4i4i000000000000000000000022−222i2−2i2000000000000000000000000000000
χ884-4−4i4i00044000-4-4−4i4i−4i4i4000000-4000000000000−4i4i0000000000000000000000−2222−2i22i2000000000000000000000000000000
χ898-88i−8i0008-4000-848i−8i−4i4i-40000004000000000000−4i4i00000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-40000004000000000000−4i4i00000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i200006-6-200000000006i−6i2i−2i00000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i20000-66-20000000000−6i6i2i−2i00000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-400000040000000000004i−4i00000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-400000040000000000004i−4i00000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i200006-6-20000000000−6i6i−2i2i00000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i20000-66-200000000006i−6i−2i2i00000000000000000000000000000000000000000000000000000000

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