Finite Group Databasebeta

← Group #11876998

Character table — Group #11876998

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order12223344444466666636668888121212121212121212121212121212121212121224242424242424242424242424242424444422224444666666661212121212121212248888
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
χ51111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-111-1-111-1-111-1-111-1-111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-11-1-111-1-111-1-111-1-11111-1-1-1-1
χ71111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-111-1-11111
χ81111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-1-1-11111
χ9111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ10111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ11111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111
χ12111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111
χ13111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-11-1111-1-111-1-1-1-111-1-111-1-1-1-111
χ14111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-111-11-1-1-111-1-11111-1-111-1-1-1-1-1-111
χ15111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-111-111-1-1-1-111-1-11111-1-11111-1-1
χ16111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11-1-11-1-11111-1-111-1-1-1-1111111-1-1
χ1722222222-2-2-2-2222222222200002222-2-2-2-2-2-2-2-2-2-2-2-222-2-2000000000000000022-2-20000000000000000000000002-20000
χ1822222222-2-2-2-2222222222200002222-2-2-2-2-2-2-2-2-2-2-2-222-2-20000000000000000-2-222000000000000000000000000-220000
χ19222222-2-222-2-222222222220000-2-2-2-22222-2-2-2-2-2-2-2-2-2-222000000000000000022-2-2000000000000000000000000-220000
χ20222222-2-222-2-222222222220000-2-2-2-22222-2-2-2-2-2-2-2-2-2-2220000000000000000-2-2220000000000000000000000002-20000
χ2122222-12222222-122-1-1-1-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000002200220000-1-1-1-10000-1-1-1-1000000
χ2222222-12222222-122-1-1-1-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-2-200-2-20000111100001111000000
χ2322222-12222222-122-1-1-1-1-1-1-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2111111-2-21111110000002-2002-20000-1-1110000-1-111000000
χ2422222-12222222-122-1-1-1-1-1-1-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111000000-2200-22000011-1-1000011-1-1000000
χ2522222-1-2-2-2-2222-122-1-1-1-1-1-122-2-2-2-211-2-21122-1-1-1-1-1-1111122-1-1-1-1-1-1-2-21111110000002200-2-20000-1-1-1-100001111000000
χ2622222-1-2-2-2-2222-122-1-1-1-1-1-122-2-2-2-211-2-21122-1-1-1-1-1-1111122-1-1-1-1-1-1-2-2111111000000-2-20022000011110000-1-1-1-1000000
χ2722222-1-2-2-2-2222-122-1-1-1-1-1-1-2-222-2-211-2-21122-1-1-1-1-1-11111-2-211111122-1-1-1-1-1-10000002-200-220000-1-111000011-1-1000000
χ2822222-1-2-2-2-2222-122-1-1-1-1-1-1-2-222-2-211-2-21122-1-1-1-1-1-11111-2-211111122-1-1-1-1-1-1000000-22002-2000011-1-10000-1-111000000
χ292222-12222222-12-1-122-1-1-1-12222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022002200-1-1-1-10000-1-1-1-10000000000
χ302222-12222222-12-1-122-1-1-1-12222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-200-2-2001111000011110000000000
χ312222-12222222-12-1-122-1-1-1-1-2-2-2-2-1-122-1-122-1-122-1-1-1-1-1-1-1-111-2-2111111-2-2111100002-2002-200-1-1110000-1-1110000000000
χ322222-12222222-12-1-122-1-1-1-1-2-2-2-2-1-122-1-122-1-122-1-1-1-1-1-1-1-111-2-2111111-2-211110000-2200-220011-1-1000011-1-10000000000
χ332222-12-2-2-2-222-12-1-122-1-1-1-122-2-211-2-211-2-2-1-122-1-1-1-11111-1-122-1-1-1-111-2-2111100002200-2-200-1-1-1-1000011110000000000
χ342222-12-2-2-2-222-12-1-122-1-1-1-122-2-211-2-211-2-2-1-122-1-1-1-11111-1-122-1-1-1-111-2-211110000-2-200220011110000-1-1-1-10000000000
χ352222-12-2-2-2-222-12-1-122-1-1-1-1-2-22211-2-211-2-2-1-122-1-1-1-1111111-2-21111-1-122-1-1-1-100002-200-2200-1-111000011-1-10000000000
χ362222-12-2-2-2-222-12-1-122-1-1-1-1-2-22211-2-211-2-2-1-122-1-1-1-1111111-2-21111-1-122-1-1-1-10000-22002-20011-1-10000-1-1110000000000
χ3722-2-2222i−2i2i−2i2-222-2-2-2-222-2-200002i−2i2i−2i2i−2i2i−2i2-22-222-2-22i−2i2i−2i00000000000000000000000000000000000000000000002-22i−2i
χ3822-2-2222i−2i2i−2i2-222-2-2-2-222-2-200002i−2i2i−2i2i−2i2i−2i2-22-222-2-22i−2i2i−2i0000000000000000000000000000000000000000000000-22−2i2i
χ3922-2-2222i−2i−2i2i-2222-2-2-2-222-2-22-22i−2i2i−2i2i−2i−2i2i−2i2i-22-22-2-2222i−2i−2i2i2-22-222-2-22i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ4022-2-2222i−2i−2i2i-2222-2-2-2-222-2-2-22−2i2i2i−2i2i−2i−2i2i−2i2i-22-22-2-2222i−2i−2i2i-22-22-2-222−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ4122-2-222−2i2i2i−2i-2222-2-2-2-222-2-22-2−2i2i−2i2i−2i2i2i−2i2i−2i-22-22-2-222−2i2i2i−2i2-22-222-2-2−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ4222-2-222−2i2i2i−2i-2222-2-2-2-222-2-2-222i−2i−2i2i−2i2i2i−2i2i−2i-22-22-2-222−2i2i2i−2i-22-22-2-2222i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ4322-2-222−2i2i−2i2i2-222-2-2-2-222-2-20000−2i2i−2i2i−2i2i−2i2i2-22-222-2-2−2i2i−2i2i00000000000000000000000000000000000000000000002-2−2i2i
χ4422-2-222−2i2i−2i2i2-222-2-2-2-222-2-20000−2i2i−2i2i−2i2i−2i2i2-22-222-2-2−2i2i−2i2i0000000000000000000000000000000000000000000000-222i−2i
χ4522-2-22-12i−2i−2i2i-222-1-2-211-1-1112-22i−2i2i−2i−ii−2i2ii−i-221-111-1-1−iii−i2-2-11-1-1112i−2i−ii−i−iii0000000000000000−i3i3−i3i300003−33−3000000
χ4622-2-22-12i−2i−2i2i-222-1-2-211-1-1112-22i−2i2i−2i−ii−2i2ii−i-221-111-1-1−iii−i2-2-11-1-1112i−2i−ii−i−iii0000000000000000i3−i3i3−i30000−33−33000000
χ4722-2-22-12i−2i−2i2i-222-1-2-211-1-111-22−2i2i2i−2i−ii−2i2ii−i-221-111-1-1−iii−i-221-111-1-1−2i2ii−iii−i−i0000000000000000−i3i3i3−i300003−3−33000000
χ4822-2-22-12i−2i−2i2i-222-1-2-211-1-111-22−2i2i2i−2i−ii−2i2ii−i-221-111-1-1−iii−i-221-111-1-1−2i2ii−iii−i−i0000000000000000i3−i3−i3i30000−333−3000000
χ4922-2-22-1−2i2i2i−2i-222-1-2-211-1-1112-2−2i2i−2i2ii−i2i−2i−ii-221-111-1-1i−i−ii2-2-11-1-111−2i2ii−iii−i−i0000000000000000−i3i3−i3i30000−33−33000000
χ5022-2-22-1−2i2i2i−2i-222-1-2-211-1-1112-2−2i2i−2i2ii−i2i−2i−ii-221-111-1-1i−i−ii2-2-11-1-111−2i2ii−iii−i−i0000000000000000i3−i3i3−i300003−33−3000000
χ5122-2-22-1−2i2i2i−2i-222-1-2-211-1-111-222i−2i−2i2ii−i2i−2i−ii-221-111-1-1i−i−ii-221-111-1-12i−2i−ii−i−iii0000000000000000−i3i3i3−i30000−333−3000000
χ5222-2-22-1−2i2i2i−2i-222-1-2-211-1-111-222i−2i−2i2ii−i2i−2i−ii-221-111-1-1i−i−ii-221-111-1-12i−2i−ii−i−iii0000000000000000i3−i3−i3i300003−3−33000000
χ5322-2-2-122i−2i−2i2i-22-1211-2-2-1-1112-22i−2i−ii2i−2ii−i−2i2i1-1-2211-1-1−iii−i-112-2-1-111−ii2i−2i−i−iii000000000000−i3i3−i3i300003−33−30000000000
χ5422-2-2-122i−2i−2i2i-22-1211-2-2-1-1112-22i−2i−ii2i−2ii−i−2i2i1-1-2211-1-1−iii−i-112-2-1-111−ii2i−2i−i−iii000000000000i3−i3i3−i30000−33−330000000000
χ5522-2-2-122i−2i−2i2i-22-1211-2-2-1-111-22−2i2i−ii2i−2ii−i−2i2i1-1-2211-1-1−iii−i1-1-2211-1-1i−i−2i2iii−i−i000000000000−i3i3i3−i300003−3−330000000000
χ5622-2-2-122i−2i−2i2i-22-1211-2-2-1-111-22−2i2i−ii2i−2ii−i−2i2i1-1-2211-1-1−iii−i1-1-2211-1-1i−i−2i2iii−i−i000000000000i3−i3−i3i30000−333−30000000000
χ5722-2-2-12−2i2i2i−2i-22-1211-2-2-1-1112-2−2i2ii−i−2i2i−ii2i−2i1-1-2211-1-1i−i−ii-112-2-1-111i−i−2i2iii−i−i000000000000−i3i3−i3i30000−33−330000000000
χ5822-2-2-12−2i2i2i−2i-22-1211-2-2-1-1112-2−2i2ii−i−2i2i−ii2i−2i1-1-2211-1-1i−i−ii-112-2-1-111i−i−2i2iii−i−i000000000000i3−i3i3−i300003−33−30000000000
χ5922-2-2-12−2i2i2i−2i-22-1211-2-2-1-111-222i−2ii−i−2i2i−ii2i−2i1-1-2211-1-1i−i−ii1-1-2211-1-1−ii2i−2i−i−iii000000000000−i3i3i3−i30000−333−30000000000
χ6022-2-2-12−2i2i2i−2i-22-1211-2-2-1-111-222i−2ii−i−2i2i−ii2i−2i1-1-2211-1-1i−i−ii1-1-2211-1-1−ii2i−2i−i−iii000000000000i3−i3−i3i300003−3−330000000000
χ6144444-244-4-4-4-44-244-2-2-2-2-2-2000044-2-2-4-422-4-4222222-2-22200000000000000000000000000000000000000000000000000
χ6244444-2-4-444-4-44-244-2-2-2-2-2-20000-4-42244-2-2-4-422222222-2-200000000000000000000000000000000000000000000000000
χ634444-2444-4-4-4-4-24-2-244-2-2-2-20000-2-24422-4-422-4-42222-2-22200000000000000000000000000000000000000000000000000
χ644444-24-4-444-4-4-24-2-244-2-2-2-2000022-4-4-2-24422-4-4222222-2-200000000000000000000000000000000000000000000000000
χ654444-2-2444444-2-2-2-2-2-211114444-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ664444-2-2444444-2-2-2-2-2-21111-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2111111112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ674444-2-244-4-4-4-4-2-2-2-2-2-211110000-2-2-2-222222222-1-1-1-111-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ684444-2-244-4-4-4-4-2-2-2-2-2-211110000-2-2-2-222222222-1-1-1-111-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ694444-2-2-4-444-4-4-2-2-2-2-2-2111100002222-2-2-2-22222-1-1-1-1-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000
χ704444-2-2-4-444-4-4-2-2-2-2-2-2111100002222-2-2-2-22222-1-1-1-1-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000
χ714444-2-2-4-4-4-444-2-2-2-2-2-2111144-4-422222222-2-2-2-21111-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ724444-2-2-4-4-4-444-2-2-2-2-2-21111-4-44422222222-2-2-2-21111-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ7344-4-44-24i−4i4i−4i4-44-2-4-422-2-22200004i−4i−2i2i4i−4i−2i2i4-4-22-2-222−2i2i−2i2i00000000000000000000000000000000000000000000000000
χ7444-4-44-2−4i4i−4i4i4-44-2-4-422-2-2220000−4i4i2i−2i−4i4i2i−2i4-4-22-2-2222i−2i2i−2i00000000000000000000000000000000000000000000000000
χ7544-4-4-244i−4i4i−4i4-4-2422-4-4-2-2220000−2i2i4i−4i−2i2i4i−4i-224-4-2-222−2i2i−2i2i00000000000000000000000000000000000000000000000000
χ7644-4-4-24−4i4i−4i4i4-4-2422-4-4-2-22200002i−2i−4i4i2i−2i−4i4i-224-4-2-2222i−2i2i−2i00000000000000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-4-2-2222211-1-10000−2i2i−2i2i−2i2i−2i2i-22-2211-1-1i−ii−i00003i−3i−3i3i0000-333-30000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-4-2-2222211-1-10000−2i2i−2i2i−2i2i−2i2i-22-2211-1-1i−ii−i0000−3i3i3i−3i00003-3-330000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-44-2-2222211-1-14-44i−4i−2i2i−2i2i2i−2i2i−2i2-22-2-1-111i−i−ii-22-2211-1-1−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-44-2-2222211-1-1-44−4i4i−2i2i−2i2i2i−2i2i−2i2-22-2-1-111i−i−ii2-22-2-1-1112i−2i2i−2i−i−iii0000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-44-2-2222211-1-14-4−4i4i2i−2i2i−2i−2i2i−2i2i2-22-2-1-111−iii−i-22-2211-1-12i−2i2i−2i−i−iii0000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-44-2-2222211-1-1-444i−4i2i−2i2i−2i−2i2i−2i2i2-22-2-1-111−iii−i2-22-2-1-111−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-4-2-2222211-1-100002i−2i2i−2i2i−2i2i−2i-22-2211-1-1−ii−ii00003i−3i−3i3i00003-3-330000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-4-2-2222211-1-100002i−2i2i−2i2i−2i2i−2i-22-2211-1-1−ii−ii0000−3i3i3i−3i0000-333-30000000000000000000000000000000000
χ854-44-444000000-4-44-44-44-44-400000000000000000000000000000000000000004-400000000000000000000000000000000
χ864-44-444000000-4-44-44-44-44-40000000000000000000000000000000000000000-4400000000000000000000000000000000
χ874-4-4444000000-4-4-44-444-4-440000000000000000000000000000000000000000004-4000000000000000000000000000000
χ884-4-4444000000-4-4-44-444-4-44000000000000000000000000000000000000000000-44000000000000000000000000000000
χ898-88-88-4000000-848-8-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-480000004-8-448-8-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-400000044-44-442-22-200000000000000006i−6i6i−6i000000000000000000000000000000000000000000000000000000
χ928-88-8-4-400000044-44-442-22-20000000000000000−6i6i−6i6i000000000000000000000000000000000000000000000000000000
χ938-8-888-4000000-84-884-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-480000004-84-4-88-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4000000444-44-42-2-2200000000000000006i−6i−6i6i000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4000000444-44-42-2-220000000000000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000

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