Finite Group Databasebeta

← Group #11868116

Character table — Group #11868116

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order122223344446666663666666666661212121212121212226666666666666666121212122244888824666688121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1
χ9111-1-111-1-11111-1-11111-1-1-111-1-1-1-1111-1-1-1-1111-11111-1-1-1-11111-1-1-1-111-1-11-11-111-1-11-11-1111-11-1-1-111-1-111-1-111-1-11-1
χ10111-1-111-1-11111-1-11111-1-1-111-1-1-1-1111-1-1-1-1111-11111-1-1-1-11111-1-1-1-111-1-11-11-1-1-111-111-1-1-11-11-11111-1-1-1-111-1-111-11
χ11111-1-111-1-11111-1-11111-1-1-111-1-1-1-1111-1-1-1-1111-11111-1-1-1-11111-1-1-1-111-1-1-11-1111-1-11-1-1111-11-11-1-1-1-11111-1-1-1-111-11
χ12111-1-111-1-11111-1-11111-1-1-111-1-1-1-1111-1-1-1-1111-11111-1-1-1-11111-1-1-1-111-1-1-11-11-1-111-11-11-1-1-11-1111-1-111-1-11111-1-11-1
χ13111-1-111-1-11111-1-11111-1-1-111-1-1-1-1111-1-1-1-111-11-1-1-1-11111-1-1-1-1111111-1-11-11-111-1-1-111-1-1-1-111-111-1-11111-1-111-1-1-11
χ14111-1-111-1-11111-1-11111-1-1-111-1-1-1-1111-1-1-1-111-11-1-1-1-11111-1-1-1-1111111-1-11-11-1-1-1111-11-111-111-1-1-1-1-111-1-111-1-1111-1
χ15111-1-111-1-11111-1-11111-1-1-111-1-1-1-1111-1-1-1-111-11-1-1-1-11111-1-1-1-1111111-1-1-11-1111-1-1-11-11-1-11-1-111111-1-111-1-1-1-1111-1
χ16111-1-111-1-11111-1-11111-1-1-111-1-1-1-1111-1-1-1-111-11-1-1-1-11111-1-1-1-1111111-1-1-11-11-1-1111-1-11111-1-11-1-111-1-1-1-11111-1-1-11
χ172222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-200000000000000000000000000002i−2i2i−2i00
χ182222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-20000000000000000000000000000−2i2i−2i2i00
χ19222222-1222222-1-12-1-1-122-1-1-1-1-1-1-1-12-122-1-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-10022-1-100-1-1-1-10000000000
χ20222222-1222222-1-12-1-1-122-1-1-1-1-1-1-1-12-122-1-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000001100-2-2110011110000000000
χ21222222-1222222-1-12-1-1-122-1-1-1-1-1-1-1-12-122-1-12-1-2-2-2-211-2-21111111111-1-1-1-12222000000-1-100-2-2-1-10011110000000000
χ22222222-1222222-1-12-1-1-122-1-1-1-1-1-1-1-12-122-1-12-1-2-2-2-211-2-21111111111-1-1-1-1-2-2-2-20000001100221100-1-1-1-10000000000
χ2322222-122222-1-122-12-12-1-12-1-1-1-1-1-1-1-12-1-122-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022222200-1-10000-1-10000-1-1-1-1000000
χ2422222-122222-1-122-12-12-1-12-1-1-1-1-1-1-1-12-1-122-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2001100001100001111000000
χ2522222-122222-1-122-12-12-1-12-1-1-1-1-1-1-1-12-1-122-12-2-211-2-211-2-211111111-1-1-1-100002222-2-200110000110000-1-1-1-1000000
χ2622222-122222-1-122-12-12-1-12-1-1-1-1-1-1-1-12-1-122-12-2-211-2-211-2-211111111-1-1-1-10000-2-2-2-22200-1-10000-1-100001111000000
χ27222-2-22222-2-222-2-22222-2-2-222-2-2-2-22-2-22222-2-2000000000000000000-2-22200000000000000000000000000002i−2i−2i2i00
χ28222-2-22222-2-222-2-22222-2-2-222-2-2-2-22-2-22222-2-2000000000000000000-2-2220000000000000000000000000000−2i2i2i−2i00
χ29222-2-22-1-2-22222112-1-1-1-2-21-1-11111-12-1-2-2112-12-222-1-1-2-211-1-1-1-11111-1-1112-22-2000000-11002-2-1100-1-1110000000000
χ30222-2-22-1-2-22222112-1-1-1-2-21-1-11111-12-1-2-2112-12-222-1-1-2-211-1-1-1-11111-1-111-22-220000001-100-221-10011-1-10000000000
χ31222-2-22-1-2-22222112-1-1-1-2-21-1-11111-12-1-2-2112-1-22-2-21122-1-11111-1-1-1-1-1-1112-22-2000000-1100-22-110011-1-10000000000
χ32222-2-22-1-2-22222112-1-1-1-2-21-1-11111-12-1-2-2112-1-22-2-21122-1-11111-1-1-1-1-1-111-22-220000001-1002-21-100-1-1110000000000
χ33222-2-2-12-2-222-1-1-2-2-12-1211-2-1-11111-1-1211-2-2-122-2-1-12211-2-2-1-1-1-11111-1-111000022-2-22-200-1-10000110000-1-111000000
χ34222-2-2-12-2-222-1-1-2-2-12-1211-2-1-11111-1-1211-2-2-122-2-1-12211-2-2-1-1-1-11111-1-1110000-2-222-2200110000-1-1000011-1-1000000
χ35222-2-2-12-2-222-1-1-2-2-12-1211-2-1-11111-1-1211-2-2-12-2211-2-2-1-1221111-1-1-1-1-1-111000022-2-2-2200110000-1-10000-1-111000000
χ36222-2-2-12-2-222-1-1-2-2-12-1211-2-1-11111-1-1211-2-2-12-2211-2-2-1-1221111-1-1-1-1-1-1110000-2-2222-200-1-1000011000011-1-1000000
χ3722-22-2222-22-2-2-222222-22-2-2-2-222-2-222-22-22-2-220000000000000000002-22-222-2-2000000220000-2-20000000000000000
χ3822-22-2222-22-2-2-222222-22-2-2-2-222-2-222-22-22-2-220000000000000000002-22-2-2-222000000-2-20000220000000000000000
χ3922-22-222-22-22-2-222222-22-2-2-2-222-2-22-22-22-222-2000000000000000000-22-2200002-22-200000000000000002-22-2000000
χ4022-22-222-22-22-2-222222-22-2-2-2-222-2-22-22-22-222-2000000000000000000-22-220000-22-220000000000000000-22-22000000
χ4122-22-22-12-22-2-2-2-1-12-1-112-2111-1-111-1212-2-11-2-10000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3-11-1122-2-2000000-1-100001100−i3i3−i3i30000000000
χ4222-22-22-12-22-2-2-2-1-12-1-112-2111-1-111-1212-2-11-2-10000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3-11-11-2-222000000110000-1-100i3−i3i3−i30000000000
χ4322-22-22-12-22-2-2-2-1-12-1-112-2111-1-111-1212-2-11-2-10000i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3-11-1122-2-2000000-1-100001100i3−i3i3−i30000000000
χ4422-22-22-12-22-2-2-2-1-12-1-112-2111-1-111-1212-2-11-2-10000i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3-11-11-2-222000000110000-1-100−i3i3−i3i30000000000
χ4522-22-2-12-22-221122-12-1-2-11-211-1-111-1121-1-22-1-200−i3i300−i3i300−i3i3−i3i3−i3i3−i3i31-11-100002-22-20000−i3i30000−i3i30000-11-11000000
χ4622-22-2-12-22-221122-12-1-2-11-211-1-111-1121-1-22-1-200−i3i300−i3i300−i3i3−i3i3−i3i3−i3i31-11-10000-22-220000i3−i30000i3−i300001-11-1000000
χ4722-22-2-12-22-221122-12-1-2-11-211-1-111-1121-1-22-1-200i3−i300i3−i300i3−i3i3−i3i3−i3i3−i31-11-100002-22-20000i3−i30000i3−i30000-11-11000000
χ4822-22-2-12-22-221122-12-1-2-11-211-1-111-1121-1-22-1-200i3−i300i3−i300i3−i3i3−i3i3−i3i3−i31-11-10000-22-220000−i3i30000−i3i300001-11-1000000
χ4922-2-22222-2-22-2-2-2-2222-2-222-2-2-2-2222-222-22-22-2000000000000000000-222-200002-2-2200000000000000002-2-22000000
χ5022-2-22222-2-22-2-2-2-2222-2-222-2-2-2-2222-222-22-22-2000000000000000000-222-20000-222-20000000000000000-222-2000000
χ5122-2-2222-222-2-2-2-2-2222-2-222-2-2-2-22222-2-22-22-220000000000000000002-2-222-2-220000002-20000-220000000000000000
χ5222-2-2222-222-2-2-2-2-2222-2-222-2-2-2-22222-2-22-22-220000000000000000002-2-22-222-2000000-2200002-20000000000000000
χ5322-2-222-1-222-2-2-2112-1-11-22-11111-1-1-121-221-1-2-10000−i3i300i3−i3−i3−i3i3i3i3i3−i3−i3-111-12-2-22000000-1100001-100−i3i3i3−i30000000000
χ5422-2-222-1-222-2-2-2112-1-11-22-11111-1-1-121-221-1-2-10000−i3i300i3−i3−i3−i3i3i3i3i3−i3−i3-111-1-222-20000001-10000-1100i3−i3−i3i30000000000
χ5522-2-222-1-222-2-2-2112-1-11-22-11111-1-1-121-221-1-2-10000i3−i300−i3i3i3i3−i3−i3−i3−i3i3i3-111-12-2-22000000-1100001-100i3−i3−i3i30000000000
χ5622-2-222-1-222-2-2-2112-1-11-22-11111-1-1-121-221-1-2-10000i3−i300−i3i3i3i3−i3−i3−i3−i3i3i3-111-1-222-20000001-10000-1100−i3i3i3−i30000000000
χ5722-2-22-122-2-2211-2-2-12-1-21-121111-1-1-112-112-2-1-200−i3i300i3−i300−i3i3−i3i3i3−i3i3−i31-1-1100002-2-220000−i3i30000i3−i30000-111-1000000
χ5822-2-22-122-2-2211-2-2-12-1-21-121111-1-1-112-112-2-1-200−i3i300i3−i300−i3i3−i3i3i3−i3i3−i31-1-110000-222-20000i3−i30000−i3i300001-1-11000000
χ5922-2-22-122-2-2211-2-2-12-1-21-121111-1-1-112-112-2-1-200i3−i300−i3i300i3−i3i3−i3−i3i3−i3i31-1-1100002-2-220000i3−i30000−i3i30000-111-1000000
χ6022-2-22-122-2-2211-2-2-12-1-21-121111-1-1-112-112-2-1-200i3−i300−i3i300i3−i3i3−i3−i3i3−i3i31-1-110000-222-20000−i3i30000i3−i300001-1-11000000
χ61444444-2-4-4-4-444-2-24-2-2-244-2-2-2-2-2-2-2-2-42-4-422-4200000000000000000022220000000000000000000000000000000000
χ6244444-24-4-4-4-4-2-244-24-24-2-24-2-2-2-2-2-2-22-422-4-42-400000000000000000022220000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-422222222-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111112222222200000000003-3-333-3-33-1-1-1-10000000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-333-3-333-3-1-1-1-10000000000000000000000000000000000
χ67444-4-44-244-4-444224-2-2-2-4-42-2-22222-2-4244-2-2-4200000000000000000022-2-20000000000000000000000000000000000
χ68444-4-4-2444-4-4-2-2-4-4-24-2422-4-2-22222-22-4-2-2442-400000000000000000022-2-20000000000000000000000000000000000
χ69444-4-4-2-244-4-4-2-222-2-21-222211-1-1-1-1122-2-2-2-22200000000003-3-33-333-3-1-1110000000000000000000000000000000000
χ70444-4-4-2-244-4-4-2-222-2-21-222211-1-1-1-1122-2-2-2-2220000000000-333-33-3-33-1-1110000000000000000000000000000000000
χ71444-4-4-2-2-4-444-2-222-2-21-222211-1-1-1-11-2-22222-2-24-4-2-2-2-222221111-1-1-1-111-1-10000000000000000000000000000000000
χ72444-4-4-2-2-4-444-2-222-2-21-222211-1-1-1-11-2-22222-2-2-442222-2-2-2-2-1-1-1-1111111-1-10000000000000000000000000000000000
χ7344-44-44-2-44-44-4-4-2-24-2-224-4222-2-222-2-4-2-442-2420000000000000000002-22-20000000000000000000000000000000000
χ7444-44-4-244-44-42244-24-2-4-22-422-2-222-2-2-4-224-424000000000000000000-22-220000000000000000000000000000000000
χ7544-44-4-2-24-44-422-2-2-2-212-222-1-111-1-11-22-22-222-20000−2i32i300−2i32i3i3i3−i3−i3i3i3−i3−i31-11-10000000000000000000000000000000000
χ7644-44-4-2-24-44-422-2-2-2-212-222-1-111-1-11-22-22-222-200002i3−2i3002i3−2i3−i3−i3i3i3−i3−i3i3i31-11-10000000000000000000000000000000000
χ7744-44-4-2-2-44-4422-2-2-2-212-222-1-111-1-112-22-22-2-2200−2i32i300−2i32i300i3−i3i3−i3i3−i3i3−i3-11-110000000000000000000000000000000000
χ7844-44-4-2-2-44-4422-2-2-2-212-222-1-111-1-112-22-22-2-22002i3−2i3002i3−2i300−i3i3−i3i3−i3i3−i3i3-11-110000000000000000000000000000000000
χ7944-4-444-24-4-44-4-4224-2-22-44-22222-2-2-2-4-24-4-22420000000000000000002-2-220000000000000000000000000000000000
χ8044-4-44-24-444-422-4-4-24-2-42-242222-2-2-2-2-42-2-4424000000000000000000-222-20000000000000000000000000000000000
χ8144-4-44-2-24-4-442222-2-2122-2-2-1-1-1-11112-2-22-22-2200−2i32i3002i3−2i300i3−i3i3−i3−i3i3−i3i3-111-10000000000000000000000000000000000
χ8244-4-44-2-24-4-442222-2-2122-2-2-1-1-1-11112-2-22-22-22002i3−2i300−2i32i300−i3i3−i3i3i3−i3i3−i3-111-10000000000000000000000000000000000
χ8344-4-44-2-2-444-42222-2-2122-2-2-1-1-1-1111-222-22-22-20000−2i32i3002i3−2i3i3i3−i3−i3−i3−i3i3i31-1-110000000000000000000000000000000000
χ8444-4-44-2-2-444-42222-2-2122-2-2-1-1-1-1111-222-22-22-200002i3−2i300−2i32i3−i3−i3i3i3i3i3−i3−i31-1-110000000000000000000000000000000000
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).