Finite Group Databasebeta

← Group #11868125

Character table — Group #11868125

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order122223344446666121236666666612121212121212121212122466666666661212121212121212121222448888226666668812122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1
χ9111-1-111-1-1111111-1-111-1-1-1-11111-1-11-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-11-11-111-1-11-11-111-1-11-11-111-1-111-1-111-1-11-1
χ10111-1-111-1-1111111-1-111-1-1-1-11111-1-11-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-11-11-1-1-111-111-1-1-1111-11-111-1-1-1-111-1-111-11
χ11111-1-111-1-1111111-1-111-1-1-1-11111-1-11-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-11-1111-1-11-1-1111-1-1-11-11-1-11111-1-1-1-111-11
χ12111-1-111-1-1111111-1-111-1-1-1-11111-1-11-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-11-11-1-111-11-11-1-111-11-11-1-111-1-11111-1-11-1
χ13111-1-111-1-1111111-1-111-1-1-1-11111-1-11-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-111111111111-11-111-1-1-111-1-1-111-111-1-1-11111-1-111-1-1-11
χ14111-1-111-1-1111111-1-111-1-1-1-11111-1-11-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1111-11-111-1-1-111-1-1-111-1-111-1-1111-1
χ15111-1-111-1-1111111-1-111-1-1-1-11111-1-11-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-11-1111-1-1-11-11-1-1111-1-1111-1-111-1-1-1-1111-1
χ16111-1-111-1-1111111-1-111-1-1-1-11111-1-11-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-1111-1-1111-1-11-1-1111-1-1-1-11111-1-1-11
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000000000000000000000002i−2i2i−2i00
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000000000000000000000000000−2i2i−2i2i00
χ19222222-12222-1-1-1222-1222-1-1-1-1-1-1-1-122-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1000022222200-1-1-1-100000000-1-1-1-1000000
χ20222222-12222-1-1-1222-1222-1-1-1-1-1-1-1-122-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2-2-2001111000000001111000000
χ21222222-12222-1-1-1222-1222-1-1-1-1-1-1-1-122-1-1-1-1-12-2-2-2-211-1-1111111-2-2-1-1111100002222-2-200111100000000-1-1-1-1000000
χ22222222-12222-1-1-1222-1222-1-1-1-1-1-1-1-122-1-1-1-1-12-2-2-2-211-1-1111111-2-2-1-111110000-2-2-2-22200-1-1-1-1000000001111000000
χ2322222-122222222-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222000000-1-1000022-1-1-1-1-1-10000000000
χ2422222-122222222-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000110000-2-21111110000000000
χ2522222-122222222-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-12-1-2-211-2-2-1-11111-2-211-1-111112222000000-1-10000-2-2-1-111110000000000
χ2622222-122222222-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-12-1-2-211-2-2-1-11111-2-211-1-11111-2-2-2-20000001100002211-1-1-1-10000000000
χ27222-2-22222-2-222222222-2-2-2-2222-222-222222-2-2000000-2-200000000-2-2000000000000000000000000000000002i−2i−2i2i00
χ28222-2-22222-2-222222222-2-2-2-2222-222-222222-2-2000000-2-200000000-2-200000000000000000000000000000000−2i2i2i−2i00
χ29222-2-22-1-2-222-1-1-12-2-2-12-2-211-1-1-1-1112-21111-122-222-1-111-1-1-1-111-2-2-1-11111000022-2-22-200-1-11100000000-1-111000000
χ30222-2-22-1-2-222-1-1-12-2-2-12-2-211-1-1-1-1112-21111-122-222-1-111-1-1-1-111-2-2-1-111110000-2-222-220011-1-10000000011-1-1000000
χ31222-2-22-1-2-222-1-1-12-2-2-12-2-211-1-1-1-1112-21111-12-22-2-211111111-1-122-1-1-1-1-1-1000022-2-2-220011-1-100000000-1-111000000
χ32222-2-22-1-2-222-1-1-12-2-2-12-2-211-1-1-1-1112-21111-12-22-2-211111111-1-122-1-1-1-1-1-10000-2-2222-200-1-1110000000011-1-1000000
χ33222-2-2-12-2-222222-111-1-111-2-2-1-1-12-2-2-1111112-12-2-1-12211-1-1-1-1-2-211-1-111112-22-2000000-1100002-2-11-1-1110000000000
χ34222-2-2-12-2-222222-111-1-111-2-2-1-1-12-2-2-1111112-12-2-1-12211-1-1-1-1-2-211-1-11111-22-220000001-10000-221-111-1-10000000000
χ35222-2-2-12-2-222222-111-1-111-2-2-1-1-12-2-2-1111112-1-2211-2-211111122-1-1-1-1-1-1-1-12-22-2000000-110000-22-1111-1-10000000000
χ36222-2-2-12-2-222222-111-1-111-2-2-1-1-12-2-2-1111112-1-2211-2-211111122-1-1-1-1-1-1-1-1-22-220000001-100002-21-1-1-1110000000000
χ3722-22-2222-22-2-2-222222-22-22-2-2-2222-2-2-222-2-2-220000002-2000000002-200002-2-220000002-2000000-2200000000000000
χ3822-22-2222-22-2-2-222222-22-22-2-2-2222-2-2-222-2-2-220000002-2000000002-20000-222-2000000-220000002-200000000000000
χ3922-22-222-22-22-2-222-2-22-22-22-2-2-22-2-2222-2-2222-20000002-200000000-22000000002-22-200000000000000002-22-2000000
χ4022-22-222-22-22-2-222-2-22-22-22-2-2-22-2-2222-2-2222-20000002-200000000-2200000000-22-220000000000000000-22-22000000
χ4122-22-22-1-22-2211-12-2-2-1-22-2-1111-111-12211-1-1-1-20000−i3i3-11−i3−i3i3i3−i3i3001-1−i3−i3i3i300002-22-20000−i3i3−i3i300000000-11-11000000
χ4222-22-22-1-22-2211-12-2-2-1-22-2-1111-111-12211-1-1-1-20000−i3i3-11−i3−i3i3i3−i3i3001-1−i3−i3i3i30000-22-220000i3−i3i3−i3000000001-11-1000000
χ4322-22-22-1-22-2211-12-2-2-1-22-2-1111-111-12211-1-1-1-20000i3−i3-11i3i3−i3−i3i3−i3001-1i3i3−i3−i300002-22-20000i3−i3i3−i300000000-11-11000000
χ4422-22-22-1-22-2211-12-2-2-1-22-2-1111-111-12211-1-1-1-20000i3−i3-11i3i3−i3−i3i3−i3001-1i3i3−i3−i30000-22-220000−i3i3−i3i3000000001-11-1000000
χ4522-22-2-122-22-2-2-22-1-1-1-11-112-211-122-211-1-111-2-100−i3i300-11−i3i3−i3i300−i3i3-11−i3i3−i3i32-2-22000000-110000001-1−i3i3−i3i30000000000
χ4622-22-2-122-22-2-2-22-1-1-1-11-112-211-122-211-1-111-2-100−i3i300-11−i3i3−i3i300−i3i3-11−i3i3−i3i3-222-20000001-1000000-11i3−i3i3−i30000000000
χ4722-22-2-122-22-2-2-22-1-1-1-11-112-211-122-211-1-111-2-100i3−i300-11i3−i3i3−i300i3−i3-11i3−i3i3−i32-2-22000000-110000001-1i3−i3i3−i30000000000
χ4822-22-2-122-22-2-2-22-1-1-1-11-112-211-122-211-1-111-2-100i3−i300-11i3−i3i3−i300i3−i3-11i3−i3i3−i3-222-20000001-1000000-11−i3i3−i3i30000000000
χ4922-2-22222-2-22-2-222222-2-22-22-2-22-22-22-222-2-22-2000000-2200000000-22000000002-2-2200000000000000002-2-22000000
χ5022-2-22222-2-22-2-222222-2-22-22-2-22-22-22-222-2-22-2000000-2200000000-2200000000-222-20000000000000000-222-2000000
χ5122-2-2222-222-2-2-222-2-22-2-22-22-2-222-22-22-2-222-22000000-22000000002-2000022-2-200000022000000-2-200000000000000
χ5222-2-2222-222-2-2-222-2-22-2-22-22-2-222-22-22-2-222-22000000-22000000002-20000-2-222000000-2-20000002200000000000000
χ5322-2-222-12-2-2211-1222-1-2-221-111-11-112-2-1-111-1-20000−i3i31-1−i3−i3i3i3i3−i3001-1i3i3−i3−i300002-2-220000−i3i3i3−i300000000-111-1000000
χ5422-2-222-12-2-2211-1222-1-2-221-111-11-112-2-1-111-1-20000−i3i31-1−i3−i3i3i3i3−i3001-1i3i3−i3−i30000-222-20000i3−i3−i3i3000000001-1-11000000
χ5522-2-222-12-2-2211-1222-1-2-221-111-11-112-2-1-111-1-20000i3−i31-1i3i3−i3−i3−i3i3001-1−i3−i3i3i300002-2-220000i3−i3−i3i300000000-111-1000000
χ5622-2-222-12-2-2211-1222-1-2-221-111-11-112-2-1-111-1-20000i3−i31-1i3i3−i3−i3−i3i3001-1−i3−i3i3i30000-222-20000−i3i3i3−i3000000001-1-11000000
χ5722-2-22-12-222-2-2-22-111-111-1-2211-12-221-111-1-1-2-100−i3i3001-1−i3i3−i3i300i3−i3-11i3−i3i3−i322-2-2000000-1-100000011−i3i3i3−i30000000000
χ5822-2-22-12-222-2-2-22-111-111-1-2211-12-221-111-1-1-2-100−i3i3001-1−i3i3−i3i300i3−i3-11i3−i3i3−i3-2-22200000011000000-1-1i3−i3−i3i30000000000
χ5922-2-22-12-222-2-2-22-111-111-1-2211-12-221-111-1-1-2-100i3−i3001-1i3−i3i3−i300−i3i3-11−i3i3−i3i322-2-2000000-1-100000011i3−i3−i3i30000000000
χ6022-2-22-12-222-2-2-22-111-111-1-2211-12-221-111-1-1-2-100i3−i3001-1i3−i3i3−i300−i3i3-11−i3i3−i3i3-2-22200000011000000-1-1−i3i3i3−i30000000000
χ61444444-2-4-4-4-4-2-2-24-4-4-2444-2-2-2-2-2222-4-422222-4000000-2-2000000002200000000000000000000000000000000000000
χ6244444-24-4-4-4-4444-222-2-2-2-244-2-2-2-4-4-4222222-42000000-2-2000000002200000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-21111-2-244-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-21111-2-2-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-211122222-1-1-1-122000000113-3-330000-1-13-3-330000000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-211122222-1-1-1-12200000011-333-30000-1-1-333-30000000000000000000000000000000000
χ67444-4-44-244-4-4-2-2-2444-24-4-422-2-2-22-2-2-44-2-2-2-22-400000022000000002200000000000000000000000000000000000000
χ68444-4-4-2444-4-4444-2-2-2-2-222-4-4-2-2-2-4442-2-2-2-2-2-4200000022000000002200000000000000000000000000000000000000
χ69444-4-4-2-244-4-4-2-2-2-2-2-21-222221112-2-22-2111122000000-1-13-3-330000-1-1-333-30000000000000000000000000000000000
χ70444-4-4-2-244-4-4-2-2-2-2-2-21-222221112-2-22-2111122000000-1-1-333-30000-1-13-3-330000000000000000000000000000000000
χ71444-4-4-2-2-4-444-2-2-2-2221-22222111-222-22-1-1-1-1-2-24-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000
χ72444-4-4-2-2-4-444-2-2-2-2221-22222111-222-22-1-1-1-1-2-2-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ7344-44-44-24-44-422-2444-2-44-4-2222-2-2-22-4-4-2-22224000000-2200000000-2200000000000000000000000000000000000000
χ7444-44-4-24-44-44-4-44-222-22-224-422-2-4-44-2-222-2-242000000-22000000002-200000000000000000000000000000000000000
χ7544-44-4-2-24-44-422-2-2-2-212-22-22-1-11-2-222211-1-12-200−2i32i3001-1i3−i3i3−i300−2i32i31-1i3−i3i3−i30000000000000000000000000000000000
χ7644-44-4-2-24-44-422-2-2-2-212-22-22-1-11-2-222211-1-12-2002i3−2i3001-1−i3i3−i3i3002i3−2i31-1−i3i3−i3i30000000000000000000000000000000000
χ7744-44-4-2-2-44-4422-2-22212-22-22-1-1122-2-2-2-1-111-220000−2i32i31-1i3i3−i3−i3−2i32i300-11i3i3−i3−i30000000000000000000000000000000000
χ7844-44-4-2-2-44-4422-2-22212-22-22-1-1122-2-2-2-1-111-2200002i3−2i31-1−i3−i3i3i32i3−2i300-11−i3−i3i3i30000000000000000000000000000000000
χ7944-4-444-2-444-422-24-4-4-2-4-442-222-2-22-2-4422-2-2240000002-200000000-2200000000000000000000000000000000000000
χ8044-4-44-244-4-44-4-44-2-2-2-222-2-4422-2-44-4-22-2-222420000002-2000000002-200000000000000000000000000000000000000
χ8144-4-44-2-24-4-4422-2-2-2-2122-22-2-1-112-22-2211-1-1-220000−2i32i3-11i3i3−i3−i32i3−2i300-11−i3−i3i3i30000000000000000000000000000000000
χ8244-4-44-2-24-4-4422-2-2-2-2122-22-2-1-112-22-2211-1-1-2200002i3−2i3-11−i3−i3i3i3−2i32i300-11i3i3−i3−i30000000000000000000000000000000000
χ8344-4-44-2-2-444-422-2-222122-22-2-1-11-22-22-2-1-1112-200−2i32i300-11i3−i3i3−i3002i3−2i31-1−i3i3−i3i30000000000000000000000000000000000
χ8444-4-44-2-2-444-422-2-222122-22-2-1-11-22-22-2-1-1112-2002i3−2i300-11−i3i3−i3i300−2i32i31-1i3−i3i3−i30000000000000000000000000000000000
χ858-800088000000-8-80080000000-80000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000−4i34i34-800-400000−4i34i340000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-400004i3−4i34-800-4000004i3−4i340000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-48000000-8443−43-4000000040000043−43000000000000000000000000000000000000000000000000000000000000
χ898-8000-48000000-84−4343-40000000400000−4343000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−432000002i3−2i3-200000−23236i−6i0000000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−43432000002i3−2i3-20000023−23−6i6i0000000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−43200000−2i32i3-200000−2323−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−4343200000−2i32i3-20000023−236i−6i0000000000000000000000000000000000000000000000000000000000

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