Finite Group Databasebeta

← Group #11868121

Character table — Group #11868121

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order122223344446666121222344666666661212121212121212121212666666666612121212121212121212222466666688881212242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1
χ9111-1-111-1-111-1-111-1-11-111-11-1-11-1-1-111-1-11-111-1-1111-11-11-111-1-11-11-11-111-1-11-11-11111-1-11-11-1-1-111-1-111-1-111-1-111-1-1
χ10111-1-111-1-111-1-111-1-11-111-11-1-11-1-1-111-1-11-111-1-1111-11-11-111-1-11-11-11-111-1-11-1-11-1-111-1-11-1-111111-1-1-1-111-1-111-1-111
χ11111-1-111-1-111-1-111-1-11-111-11-1-11-1-1-111-1-11-111-1-1111-11-11-111-1-11-11-11-111-1-1-111-111-1-111-111-1-1-1-1-11111-1-1-1-111-1-111
χ12111-1-111-1-111-1-111-1-11-111-11-1-11-1-1-111-1-11-111-1-1111-11-11-111-1-11-11-11-111-1-1-11-11-1-1-1-111-11-1111-1-111-1-11111-1-111-1-1
χ13111-1-111-1-111-1-111-1-1-111-111-1-11-1-1-111-1-11-111-1-111-11-111-1-1-111-11-111-1-1-1111-11-11111-1-1-11-11-1-1-1-111-1-11111-1-1-1-111
χ14111-1-111-1-111-1-111-1-1-111-111-1-11-1-1-111-1-11-111-1-111-11-111-1-1-111-11-111-1-1-1111-1-11-1-111-1-1-111-111-1-11111-1-1-1-11111-1-1
χ15111-1-111-1-111-1-111-1-1-111-111-1-11-1-1-111-1-11-111-1-111-11-111-1-1-111-11-111-1-1-111-111-111-1-1111-1-11-1-111-1-1-1-111-1-11111-1-1
χ16111-1-111-1-111-1-111-1-1-111-111-1-11-1-1-111-1-11-111-1-111-11-111-1-1-111-11-111-1-1-111-11-11-1-1-1-1111-11-11111-1-111-1-111-1-1-1-111
χ172222222-2-2-2-22222-2-20020022222222-2-2-2-2-2-2-2-2-2-2-200002200000000-2-2000000000000000000000000000000002i−2i2i−2i
χ182222222-2-2-2-22222-2-20020022222222-2-2-2-2-2-2-2-2-2-2-200002200000000-2-200000000000000000000000000000000−2i2i−2i2i
χ19222222-12222-1-1-122222-122222-1-1-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1220000-1-1-1-1220000-1-1-1-1000000000000
χ20222222-12222-1-1-122222-122222-1-1-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200001111-2-200001111000000000000
χ21222222-12222-1-1-1222-2-2-1-2-2222-1-1-1-1-1-1-1-122-1-1-1-1-12-2-211-1-1111111-2-2-1-11111220000-1-1-1-1-2-200001111000000000000
χ22222222-12222-1-1-1222-2-2-1-2-2222-1-1-1-1-1-1-1-122-1-1-1-1-12-2-211-1-1111111-2-2-1-11111-2-200001111220000-1-1-1-1000000000000
χ2322222-122222222-1-1-122-122-1-1-122-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10022-1-100000022-1-10000-1-1-1-100000000
χ2422222-122222222-1-1-122-122-1-1-122-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-211000000-2-2110000111100000000
χ2522222-122222222-1-1-1-2-2-1-2-2-1-1-122-1-1-1222-1-1-1-1-1-12-111-2-2-1-11111-2-211-1-111110022-1-1000000-2-2-1-10000111100000000
χ2622222-122222222-1-1-1-2-2-1-2-2-1-1-122-1-1-1222-1-1-1-1-1-12-111-2-2-1-11111-2-211-1-1111100-2-21100000022110000-1-1-1-100000000
χ27222-2-22222-2-2-2-22222002002-2-22-2-2-22-222-22-2-222-2-200002-200000000-22000000000000000000000000000000002i−2i−2i2i
χ28222-2-22222-2-2-2-22222002002-2-22-2-2-22-222-22-2-222-2-200002-200000000-2200000000000000000000000000000000−2i2i2i−2i
χ29222-2-22-1-2-22211-12-2-22-2-12-22-2-2-1111-1-1112-2-1-111-122-2-11-11-1-111-112-2-11-1-1112-20000-1-1112-20000-1-111000000000000
χ30222-2-22-1-2-22211-12-2-22-2-12-22-2-2-1111-1-1112-2-1-111-122-2-11-11-1-111-112-2-11-1-111-22000011-1-1-22000011-1-1000000000000
χ31222-2-22-1-2-22211-12-2-2-22-1-222-2-2-1111-1-1112-2-1-111-12-221-1-1111-1-11-1-22-1111-1-12-20000-1-111-22000011-1-1000000000000
χ32222-2-22-1-2-22211-12-2-2-22-1-222-2-2-1111-1-1112-2-1-111-12-221-1-1111-1-11-1-22-1111-1-1-22000011-1-12-20000-1-111000000000000
χ33222-2-2-12-2-222-2-22-1112-2-12-2-1112-211-12-2-2-11-1-1112-1-112-2-11-1-1112-2-11-11-1-111002-2-1-10000002-2110000-1-11100000000
χ34222-2-2-12-2-222-2-22-1112-2-12-2-1112-211-12-2-2-11-1-1112-1-112-2-11-1-1112-2-11-11-1-11100-2211000000-22-1-1000011-1-100000000
χ35222-2-2-12-2-222-2-22-111-22-1-22-1112-211-12-2-2-11-1-1112-11-1-22-1111-1-1-221-1-1111-1-1002-2-1-1000000-2211000011-1-100000000
χ36222-2-2-12-2-222-2-22-111-22-1-22-1112-211-12-2-2-11-1-1112-11-1-22-1111-1-1-221-1-1111-1-100-22110000002-2-1-10000-1-11100000000
χ3722-22-2222-22-22222-2-2222-2-2-22-2-2-2222-22-2-22-2-2-2-2222222-2-22222-2-2-2-222-2-2-2-200000000000000000000000000000000
χ3822-22-2222-22-22222-2-2-2-2222-22-2-2-2222-22-2-22-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000000000000000
χ3922-22-222-22-2222222200200-22-2-2-22222-222-22222-2-20000-2-200000000-2-200000000000000000000000000002-22-20000
χ4022-22-222-22-2222222200200-22-2-2-22222-222-22222-2-20000-2-200000000-2-20000000000000000000000000000-22-220000
χ4122-22-22-12-22-2-1-1-12-2-222-1-2-2-22-211-1-1-11-11-221111-1222-1-111-1-1-1-111-2-2-1-11111000000−i3i3−i3i3000000−i3i3−i3i3000000000000
χ4222-22-22-12-22-2-1-1-12-2-222-1-2-2-22-211-1-1-11-11-221111-1222-1-111-1-1-1-111-2-2-1-11111000000i3−i3i3−i3000000i3−i3i3−i3000000000000
χ4322-22-22-12-22-2-1-1-12-2-2-2-2-122-22-211-1-1-11-11-221111-12-2-211111111-1-122-1-1-1-1-1-1000000−i3i3−i3i3000000i3−i3i3−i3000000000000
χ4422-22-22-12-22-2-1-1-12-2-2-2-2-122-22-211-1-1-11-11-221111-12-2-211111111-1-122-1-1-1-1-1-1000000i3−i3i3−i3000000−i3i3−i3i3000000000000
χ4522-22-2-122-22-2222-11122-1-2-21-11-2-2-1-1-1-22-21-111112-1-1-12211-1-1-1-1-2-211-1-111110000−i3i300000000−i3i30000−i3i3−i3i300000000
χ4622-22-2-122-22-2222-11122-1-2-21-11-2-2-1-1-1-22-21-111112-1-1-12211-1-1-1-1-2-211-1-111110000i3−i300000000i3−i30000i3−i3i3−i300000000
χ4722-22-2-122-22-2222-111-2-2-1221-11-2-2-1-1-1-22-21-111112-111-2-211111122-1-1-1-1-1-1-1-10000−i3i300000000−i3i30000i3−i3i3−i300000000
χ4822-22-2-122-22-2222-111-2-2-1221-11-2-2-1-1-1-22-21-111112-111-2-211111122-1-1-1-1-1-1-1-10000i3−i300000000i3−i30000−i3i3−i3i300000000
χ4922-2-22222-2-22-2-222-2-200200-2-22-22-2-2222-22222-2-2-2-20000-2200000000-2200000000000000000000000000002-2-220000
χ5022-2-22222-2-22-2-222-2-200200-2-22-22-2-2222-22222-2-2-2-20000-2200000000-220000000000000000000000000000-222-20000
χ5122-2-2222-222-2-2-222222-22-22-2-22-22-2-22-2-22-2-2-2-222222-22-2-2222-2-2-22-222-2-2-22200000000000000000000000000000000
χ5222-2-2222-222-2-2-22222-2222-2-2-22-22-2-22-2-22-2-2-2-22222-22-22-22-2-2222-22-22-222-2-200000000000000000000000000000000
χ5322-2-222-1-222-211-12222-2-1-22-2-221-111-111-1-2-211-1-1-122-2-111-1-1-1111-1-22-1111-1-1000000−i3i3i3−i3000000−i3i3i3−i3000000000000
χ5422-2-222-1-222-211-12222-2-1-22-2-221-111-111-1-2-211-1-1-122-2-111-1-1-1111-1-22-1111-1-1000000i3−i3−i3i3000000i3−i3−i3i3000000000000
χ5522-2-222-1-222-211-1222-22-12-2-2-221-111-111-1-2-211-1-1-12-221-11-111-1-1-112-2-11-1-111000000−i3i3i3−i3000000i3−i3−i3i3000000000000
χ5622-2-222-1-222-211-1222-22-12-2-2-221-111-111-1-2-211-1-1-12-221-11-111-1-1-112-2-11-1-111000000i3−i3−i3i3000000−i3i3i3−i3000000000000
χ5722-2-22-12-222-2-2-22-1-1-12-2-1-2211-1-2211-1-2-221111-1-12-1-112-21-1-1-111-221-1-1111-1-10000−i3i300000000i3−i30000−i3i3i3−i300000000
χ5822-2-22-12-222-2-2-22-1-1-12-2-1-2211-1-2211-1-2-221111-1-12-1-112-21-1-1-111-221-1-1111-1-10000i3−i300000000−i3i30000i3−i3−i3i300000000
χ5922-2-22-12-222-2-2-22-1-1-1-22-12-211-1-2211-1-2-221111-1-12-11-1-221-111-1-12-2-11-11-1-1110000−i3i300000000i3−i30000i3−i3−i3i300000000
χ6022-2-22-12-222-2-2-22-1-1-1-22-12-211-1-2211-1-2-221111-1-12-11-1-221-111-1-12-2-11-11-1-1110000i3−i300000000−i3i30000−i3i3i3−i300000000
χ61444444-2-4-4-4-4-2-2-24-4-400-200444-2-2-2-2-2222-4-422222-40000-2-20000000022000000000000000000000000000000000000
χ6244444-24-4-4-4-4444-22200-200-2-2-244-2-2-2-4-4-4222222-420000-2-20000000022000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-244144-2-2-2-2-2111-2-2-2-2-21111-2-2-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000
χ6444444-2-24444-2-2-2-2-2-2-4-41-4-4-2-2-2-2-2111-2-2-2-2-21111-2-2222211-1-1-1-1222211-1-1-1-100000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-22200100-2-2-2-2-211122222-1-1-1-1220000113-33-30000-1-13-33-300000000000000000000000000000000
χ6644444-2-2-4-4-4-4-2-2-2-22200100-2-2-2-2-211122222-1-1-1-122000011-33-330000-1-1-33-3300000000000000000000000000000000
χ67444-4-44-244-4-422-244400-2004-4-4-2222-22-2-2-4422-2-22-40000-22000000002-2000000000000000000000000000000000000
χ68444-4-4-2444-4-4-4-44-2-2-200-200-2224-422-2-4442-222-2-2-420000-22000000002-2000000000000000000000000000000000000
χ69444-4-4-2-244-4-422-2-2-2-200100-222-22-1-112-2-22-2-1-1112200001-13-3-330000-113-3-3300000000000000000000000000000000
χ70444-4-4-2-244-4-422-2-2-2-200100-222-22-1-112-2-22-2-1-1112200001-1-333-30000-11-333-300000000000000000000000000000000
χ71444-4-4-2-2-4-44422-2-2224-414-4-222-22-1-11-222-2211-1-1-2-2-22-221-111-1-1-22-221-111-1-100000000000000000000000000000000
χ72444-4-4-2-2-4-44422-2-222-441-44-222-22-1-11-222-2211-1-1-2-22-22-21-1-1-1112-22-21-1-1-11100000000000000000000000000000000
χ7344-44-44-2-44-44-2-2-244400-200-44-422-2-2-2-22-24-4-2-2-2-22-40000220000000022000000000000000000000000000000000000
χ7444-44-4-24-44-44444-2-2-200-2002-22-4-4-2-2-24-44-22-2-2-2-2-420000220000000022000000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-2-2-222441-4-42-22221112-222-2-1-1-1-1-2-2-2-2-2-2-1-11111222211-1-1-1-100000000000000000000000000000000
χ7644-44-4-2-24-44-4-2-2-2-222-4-41442-22221112-222-2-1-1-1-1-2-22222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-2-2-2-2-2001002-2222111-22-2-221111220000-1-13-33-30000-1-1-33-3300000000000000000000000000000000
χ7844-44-4-2-2-44-44-2-2-2-2-2-2001002-2222111-22-2-221111220000-1-1-33-330000-1-13-33-300000000000000000000000000000000
χ7944-4-444-24-4-4422-24-4-400-200-4-442-222-2-2-2244-2-2222-400002-2000000002-2000000000000000000000000000000000000
χ8044-4-44-244-4-44-4-44-22200-20022-2-4422-244-4-2-2-2-222-4200002-2000000002-2000000000000000000000000000000000000
χ8144-4-44-2-24-4-4422-2-2220010022-22-2-1-11-2-22-2-211-1-1220000-113-3-330000-11-333-300000000000000000000000000000000
χ8244-4-44-2-24-4-4422-2-2220010022-22-2-1-11-2-22-2-211-1-1220000-11-333-30000-113-3-3300000000000000000000000000000000
χ8344-4-44-2-2-444-422-2-2-2-24-41-4422-22-2-1-1122-222-1-111-2-2-22-22-1111-1-12-22-21-1-1-11100000000000000000000000000000000
χ8444-4-44-2-2-444-422-2-2-2-2-4414-422-22-2-1-1122-222-1-111-2-22-22-2-11-1-111-22-221-111-1-100000000000000000000000000000000
χ858-800088000000-8-800008000000000-8000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000−4i34i34-80000-40000000−4i34i34000000000000000000000000000000000000000000000000000000000000000
χ878-80008-400004i3−4i34-80000-400000004i3−4i34000000000000000000000000000000000000000000000000000000000000000
χ888-8000-48000000-8443−4300-40000000004000000043−43000000000000000000000000000000000000000000000000000000
χ898-8000-48000000-84−434300-400000000040000000−4343000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−4300200000002i3−2i3-2000006i−6i−2323000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−434300200000002i3−2i3-200000−6i6i23−23000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−430020000000−2i32i3-200000−6i6i−2323000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−43430020000000−2i32i3-2000006i−6i23−23000000000000000000000000000000000000000000000000000000

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