Finite Group Databasebeta

← Group #11865218

Character table — Group #11865218

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order1222233444466666636666666666612121212121212124412121212121212121212121212121212121212122222444466668888121212122424242424242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ911-1-1111-1-111-1-1-1-111111-1-111-1-1-1-1111-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-11-11-11-11-11-11-11-11-11-11-111-1-111-1-111-1-11-1
χ1011-1-1111-1-111-1-1-1-111111-1-111-1-1-1-1111-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-111-1-111-1-1111-1-1-1-111-1-111-11
χ1111-1-1111-1-111-1-1-1-111111-1-111-1-1-1-1111-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-11111-1-1-1-111-11
χ1211-1-1111-1-111-1-1-1-111111-1-111-1-1-1-1111-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-1-11-11-11-11-11-11-11-11-11-11-1-111-1-11111-1-11-1
χ1311-1-1111-1-111-1-1-1-111111-1-111-1-1-1-1111-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-111111-11-11-11-11-11-1-11-111-11-1-1-111-1-11111-1-1-11
χ1411-1-1111-1-111-1-1-1-111111-1-111-1-1-1-1111-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-111111-1-111-1-111-1-11-111-11-1-11-1-11111-1-1-1-1111-1
χ1511-1-1111-1-111-1-1-1-111111-1-111-1-1-1-1111-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-11111-111-1-111-1-111-11-1-11-111-111-1-1-1-111-1-1111-1
χ1611-1-1111-1-111-1-1-1-111111-1-111-1-1-1-1111-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-11111-11-11-11-11-11-111-11-1-11-1111-1-111-1-111-1-1-11
χ172222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000002-22-200
χ182222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000-22-2200
χ19222222-1222222-1-12-1-12-12-1-1-1-1-1-1-1-12-122-1-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200-1-1002200-1-10000-1-1-1-1000000
χ20222222-1222222-1-12-1-12-12-1-1-1-1-1-1-1-12-122-1-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2001100-2-2001100001111000000
χ21222222-1222222-1-12-1-12-12-1-1-1-1-1-1-1-12-122-1-12-1-2-2-2-211-2-211-1-1-1-1111111110022002200-1-100-2-200-1-100001111000000
χ22222222-1222222-1-12-1-12-12-1-1-1-1-1-1-1-12-122-1-12-1-2-2-2-211-2-211-1-1-1-11111111100-2-200-2-20011002200110000-1-1-1-1000000
χ2322222-122222-1-122-12-1-12-12-1-1-1-1-1-1-1-12-1-122-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1002200-1-100-1-1-1-10000000000
χ2422222-122222-1-122-12-1-12-12-1-1-1-1-1-1-1-12-1-122-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2001100-2-200110011110000000000
χ2522222-122222-1-122-12-1-12-12-1-1-1-1-1-1-1-12-1-122-12-2-211-2-211-2-2-1-1-1-11111111122002200-1-100-2-200-1-10011110000000000
χ2622222-122222-1-122-12-1-12-12-1-1-1-1-1-1-1-12-1-122-12-2-211-2-211-2-2-1-1-1-111111111-2-200-2-200110022001100-1-1-1-10000000000
χ27222-2-2222-22-222-2-2222-2-2-22-2-222-2-222-22-22-2-2200000000002-22-200000000002-200-22002-2000000-2200000000000000
χ28222-2-2222-22-222-2-2222-2-2-22-2-222-2-222-22-22-2-2200000000002-22-20000000000-22002-200-220000002-200000000000000
χ29222-2-222-22-2222-2-2222-2-2-22-2-222-2-22-22-22-222-20000000000-22-22000000002200-2-20022000000-2-20000000000000000
χ30222-2-222-22-2222-2-2222-2-2-22-2-222-2-22-22-22-222-20000000000-22-2200000000-2-2002200-2-2000000220000000000000000
χ31222-2-22-12-22-222112-1-1-21-2-111-1-111-1212-2-11-2-10000i3−i300i3−i3-11-11i3i3−i3−i3i3i3−i3−i3002-200-2200-110000001-10000i3−i3i3−i3000000
χ32222-2-22-12-22-222112-1-1-21-2-111-1-111-1212-2-11-2-10000i3−i300i3−i3-11-11i3i3−i3−i3i3i3−i3−i300-22002-2001-1000000-110000−i3i3−i3i3000000
χ33222-2-22-12-22-222112-1-1-21-2-111-1-111-1212-2-11-2-10000−i3i300−i3i3-11-11−i3−i3i3i3−i3−i3i3i3002-200-2200-110000001-10000−i3i3−i3i3000000
χ34222-2-22-12-22-222112-1-1-21-2-111-1-111-1212-2-11-2-10000−i3i300−i3i3-11-11−i3−i3i3i3−i3−i3i3i300-22002-2001-1000000-110000i3−i3i3−i3000000
χ35222-2-2-12-22-22-1-1-2-2-12-11-21211-1-111-1121-1-22-1-200i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i32200-2-200-1-10000001100i3−i3i3−i30000000000
χ36222-2-2-12-22-22-1-1-2-2-12-11-21211-1-111-1121-1-22-1-200i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i3-2-200220011000000-1-100−i3i3−i3i30000000000
χ37222-2-2-12-22-22-1-1-2-2-12-11-21211-1-111-1121-1-22-1-200−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i32200-2-200-1-10000001100−i3i3−i3i30000000000
χ38222-2-2-12-22-22-1-1-2-2-12-11-21211-1-111-1121-1-22-1-200−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i3-2-200220011000000-1-100i3−i3i3−i30000000000
χ3922-22-2222-2-22-2-222222-2-22-2-2-2-2-2222-222-22-22-20000000000-222-2000000002-200-22002-2000000-220000000000000000
χ4022-22-2222-2-22-2-222222-2-22-2-2-2-2-2222-222-22-22-20000000000-222-200000000-22002-200-220000002-20000000000000000
χ4122-22-222-222-2-2-222222-2-22-2-2-2-2-22222-2-22-22-2200000000002-2-2200000000002200-2-20022000000-2-200000000000000
χ4222-22-222-222-2-2-222222-2-22-2-2-2-2-22222-2-22-22-2200000000002-2-220000000000-2-2002200-2-20000002200000000000000
χ4322-22-22-1-222-2-2-2-1-12-1-1-21211111-1-1-121-221-1-2-10000i3−i300−i3i3-111-1i3i3−i3−i3−i3−i3i3i3002200-2-200-1-1000000110000i3−i3−i3i3000000
χ4422-22-22-1-222-2-2-2-1-12-1-1-21211111-1-1-121-221-1-2-10000i3−i300−i3i3-111-1i3i3−i3−i3−i3−i3i3i300-2-200220011000000-1-10000−i3i3i3−i3000000
χ4522-22-22-1-222-2-2-2-1-12-1-1-21211111-1-1-121-221-1-2-10000−i3i300i3−i3-111-1−i3−i3i3i3i3i3−i3−i3002200-2-200-1-1000000110000−i3i3i3−i3000000
χ4622-22-22-1-222-2-2-2-1-12-1-1-21211111-1-1-121-221-1-2-10000−i3i300i3−i3-111-1−i3−i3i3i3i3i3−i3−i300-2-200220011000000-1-10000i3−i3−i3i3000000
χ4722-22-2-122-2-221122-12-11-2-1-21111-1-1-112-112-2-1-200i3−i300−i3i3001-1-11i3−i3i3−i3−i3i3−i3i32-200-2200-110000001-100i3−i3−i3i30000000000
χ4822-22-2-122-2-221122-12-11-2-1-21111-1-1-112-112-2-1-200i3−i300−i3i3001-1-11i3−i3i3−i3−i3i3−i3i3-22002-2001-1000000-1100−i3i3i3−i30000000000
χ4922-22-2-122-2-221122-12-11-2-1-21111-1-1-112-112-2-1-200−i3i300i3−i3001-1-11−i3i3−i3i3i3−i3i3−i32-200-2200-110000001-100−i3i3i3−i30000000000
χ5022-22-2-122-2-221122-12-11-2-1-21111-1-1-112-112-2-1-200−i3i300i3−i3001-1-11−i3i3−i3i3i3−i3i3−i3-22002-2001-1000000-1100i3−i3−i3i30000000000
χ5122-2-222222-2-2-2-2-2-222222-2-222-2-2-2-22-2-22222-2-20000000000-2-2220000000000000000000000000000000000002-2-2200
χ5222-2-222222-2-2-2-2-2-222222-2-222-2-2-2-22-2-22222-2-20000000000-2-222000000000000000000000000000000000000-222-200
χ5322-2-222-1-2-222-2-2112-1-12-1-21-1-11111-12-1-2-2112-12-222-1-1-2-211-1-111-1-1-1-11111002-2002-200-11002-200-110000-1-111000000
χ5422-2-222-1-2-222-2-2112-1-12-1-21-1-11111-12-1-2-2112-12-222-1-1-2-211-1-111-1-1-1-1111100-2200-22001-100-22001-1000011-1-1000000
χ5522-2-222-1-2-222-2-2112-1-12-1-21-1-11111-12-1-2-2112-1-22-2-21122-1-1-1-1111111-1-1-1-1002-2002-200-1100-2200-11000011-1-1000000
χ5622-2-222-1-2-222-2-2112-1-12-1-21-1-11111-12-1-2-2112-1-22-2-21122-1-1-1-1111111-1-1-1-100-2200-22001-1002-2001-10000-1-111000000
χ5722-2-22-12-2-22211-2-2-12-1-121-2-1-11111-1-1211-2-2-122-2-1-12211-2-2-1-111-1-1-1-111112-2002-200-11002-200-1100-1-1110000000000
χ5822-2-22-12-2-22211-2-2-12-1-121-2-1-11111-1-1211-2-2-122-2-1-12211-2-2-1-111-1-1-1-11111-2200-22001-100-22001-10011-1-10000000000
χ5922-2-22-12-2-22211-2-2-12-1-121-2-1-11111-1-1211-2-2-12-2211-2-2-1-122-1-1111111-1-1-1-12-2002-200-1100-2200-110011-1-10000000000
χ6022-2-22-12-2-22211-2-2-12-1-121-2-1-11111-1-1211-2-2-12-2211-2-2-1-122-1-1111111-1-1-1-1-2200-22001-1002-2001-100-1-1110000000000
χ61444444-2-4-4-4-444-2-24-2-24-24-2-2-2-2-2-2-2-2-42-4-422-4200000000002222000000000000000000000000000000000000000000
χ6244444-24-4-4-4-4-2-244-24-2-24-24-2-2-2-2-2-2-22-422-4-42-400000000002222000000000000000000000000000000000000000000
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
χ6444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-13-3-333-3-330000000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-1-333-3-333-30000000000000000000000000000000000
χ67444-4-44-2-44-4444224-2-2-42-4-222-2-222-2-4-2-442-24200000000002-22-2000000000000000000000000000000000000000000
χ68444-4-4-244-44-4-2-2-4-4-24-22-42422-2-222-2-2-4-224-4240000000000-22-22000000000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-222-2-21222-2-1-111-1-11-22-22-222-200002i3−2i3002i3−2i31-11-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-222-2-21222-2-1-111-1-11-22-22-222-20000−2i32i300−2i32i31-11-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-222-2-21222-2-1-111-1-112-22-22-2-22002i3−2i3002i3−2i300-11-11−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-222-2-21222-2-1-111-1-112-22-22-2-2200−2i32i300−2i32i300-11-11i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000
χ7344-44-44-24-4-44-4-4-2-24-2-2-42422222-2-2-2-4-24-4-224200000000002-2-22000000000000000000000000000000000000000000
χ7444-44-4-24-444-42244-24-22-4-2-42222-2-2-2-2-42-2-44240000000000-222-2000000000000000000000000000000000000000000
χ7544-44-4-2-24-4-4422-2-2-2-2122-22-1-1-1-11112-2-22-22-22002i3−2i300−2i32i300-111-1−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ7644-44-4-2-24-4-4422-2-2-2-2122-22-1-1-1-11112-2-22-22-2200−2i32i3002i3−2i300-111-1i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ7744-44-4-2-2-444-422-2-2-2-2122-22-1-1-1-1111-222-22-22-200002i3−2i300−2i32i31-1-11−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ7844-44-4-2-2-444-422-2-2-2-2122-22-1-1-1-1111-222-22-22-20000−2i32i3002i3−2i31-1-11i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ7944-4-444-244-4-4-4-4224-2-24-2-42-2-22222-2-4244-2-2-42000000000022-2-2000000000000000000000000000000000000000000
χ8044-4-44-2444-4-422-4-4-24-2-242-4-2-22222-22-4-2-2442-4000000000022-2-2000000000000000000000000000000000000000000
χ8144-4-44-2-244-4-42222-2-21-2-22211-1-1-1-1122-2-2-2-2220000000000-1-1113-3-33-333-30000000000000000000000000000000000
χ8244-4-44-2-244-4-42222-2-21-2-22211-1-1-1-1122-2-2-2-2220000000000-1-111-333-33-3-330000000000000000000000000000000000
χ8344-4-44-2-2-4-4442222-2-21-2-22211-1-1-1-11-2-22222-2-24-4-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000
χ8444-4-44-2-2-4-4442222-2-21-2-22211-1-1-1-11-2-22222-2-2-442222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000
χ858-80008800000000-8-880000000000-80000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000004i3−4i3-84-4000000004i3−4i340000000000000000000000000000000000000000000000000000000000000000
χ878-80008-4000000−4i34i3-84-400000000−4i34i340000000000000000000000000000000000000000000000000000000000000000
χ888-8000-4800004i3−4i3004-8-40000004i3−4i30040000000000000000000000000000000000000000000000000000000000000000
χ898-8000-480000−4i34i3004-8-4000000−4i34i30040000000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004i3−4i34i3−4i344200006-6−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004i3−4i3−4i34i34420000-66−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000
χ928-8000-4-40000−4i34i34i3−4i34420000-662i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ938-8000-4-40000−4i34i3−4i34i344200006-62i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000

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