Finite Group Databasebeta

← Group #11868033

Character table — Group #11868033

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222223344444444446666666888888888888812121212121212121212161616161616161618182424242424242424242424242436363648487272
order1223344664423466612121212224881212466681212121212122424246688812242461212121224242488226668812242424242488862448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1111-111-1-111-1-111111111111-11-1-1-1-1-111-1-11-1-1-1-11-1-1111111-1-1-1-1
χ3111111111111111111111111-1-11111111111111111111-1-1-11-1-111111111-1-11-11111-1111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1111-111-1-111-1-11111-1-1-11-1-11-11-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111-11-1111111111111111-1-11-1-1-11111-1-1-1-1111-1-1111-11-111-1-1-11111-111-1-1-1-1-11-1-11-1-11-11-1
χ611111111111-11-111111111111111-1-1-111-1-1-1-11111-1-1111-1-1111-1-1-1-1-111111-1-1-1-1-111-1111-1-11-1-1-11-11
χ711111111111-11-11111111111-1-1111-1-11-1-1-11111-1-1-1-111-1111-1-1-11-111-1-1-1-1-11-1-111-11-1-1-1-111-111-11-11
χ811111111111-11-11111111111-1-111-1-1-111-1-1-1-11111-1-111-1111-1-1-1-1-1-1-1111-1-1-11-1-1-11-1-111-111-1111-11-1
χ9111111111-1-11111111111-1-1-111-1-11111111111111-1-1-1-1111-11111111111-1-1-11-1-1-1-11-1-1-1111-1-1-111-1-1
χ10111111111-1-11111111111-1-1-111-1-1-1111-111-1-111-1-1-1-1-1-1111-1111-11-1-1-1-1-1-1-11-1-1111-1-111111-1-1-1-1-111
χ11111111111-1-11111111111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ12111111111-1-11111111111-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-11111-111-1-1-111111-1-1
χ13111111111-1-1-11-11111111-1-1-111-1-11-1-11-1-1-11111-1-111-1-11-1-1-111-11-111-1-1-1-1-1-111-1-11-11111-1-1-1111-1-11
χ14111111111-1-1-11-11111111-1-1-111-1-1-1-1-111-1-1-1-1111111-1-11-1-1-111-1-1-1-1-1111-1-11-1111-111-1-11-1-1-111-111-1
χ15111111111-1-1-11-11111111-1-1-1-1-1-1-11-1-11-1-1-11111-1-111-1-1-111-1-1-1-11-111-1-1-111-1-11-1-111111-1111-1-1-111-1
χ16111111111-1-1-11-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-11111111111-1-11-1-1-1111-1-11-1-11
χ1722222-2-22222020222-2-2-2-2-2-220022000200000-2-20000-2-202i−2i2000000000000000000000002i−2i02i−2i0000
χ1822222-2-22222020222-2-2-2-2-2-220022000200000-2-20000-2-20−2i2i200000000000000000000000−2i2i0−2i2i0000
χ1922222-2-222-2-2020222-2-2-2-222-200-2-2000200000-2-200002202i−2i-2000000000000000000000002i−2i0−2i2i0000
χ2022222-2-222-2-2020222-2-2-2-222-200-2-2000200000-2-20000220−2i2i-200000000000000000000000−2i2i02i−2i0000
χ212222-1222-1222-122-1-1-12-1222200-1-122-1-122-1-1-1-1-1-1-122-1-1000-100-12-1-1-12-1-10020-1-1-120-1-1-10000000000
χ222222-1222-1222-122-1-1-12-1222200-1-1-22-1-1-22-111-1-11122-1-1000-100-1-2-111-21100-20-111-20-1110000000000
χ232222-1222-122-2-1-22-1-1-12-1222200-1-12-21-1-2-21-1-1-1-111-2-2-1-1000-100121-1-1-21100201-1-1-201110000000000
χ242222-1222-122-2-1-22-1-1-12-1222200-1-1-2-21-12-2111-1-1-1-1-2-2-1-1000-1001-21112-1-100-20111201-1-10000000000
χ252222-1222-1-2-22-122-1-1-12-12-2-2-2001122-1-122-1-1-1-1-1-1-1-2-211000100-12-1-1-12-1-100-20111-201110000000000
χ262222-1222-1-2-22-122-1-1-12-12-2-2-20011-22-1-1-22-111-1-111-2-211000100-1-2-111-21100201-1-1201-1-10000000000
χ272222-1222-1-2-2-2-1-22-1-1-12-12-2-2-200112-21-1-2-21-1-1-1-1112211000100121-1-1-21100-20-11120-1-1-10000000000
χ282222-1222-1-2-2-2-1-22-1-1-12-12-2-2-20011-2-21-12-2111-1-1-1-122110001001-21112-1-10020-1-1-1-20-1110000000000
χ29222-1222-12002-12-12-12-12-100022002-12-12-1222-1-12200002220-1-1-1-1-1-1-1-1-1-1000200002000-1-1-1000-1-100
χ30222-1222-12002-12-12-12-12-10002200-2-12-1-2-12-2-2-1-1-2-200002220-1-1-11-111111000-20000-2000-1-1-10001100
χ31222-1222-12002-12-12-12-12-1000-2-2002-12-12-1222-1-1220000-2-2-2011-1-1-1-1-1-1-1-1000-20000-20001110001100
χ32222-1222-12002-12-12-12-12-1000-2-200-2-12-1-2-12-2-2-1-1-2-20000-2-2-2011-11-111111000200002000111000-1-100
χ33222-1222-1200-2-1-2-12-12-12-1000220021-2-1-21-222-1-1-2-200002-2-20-1-11-11-1-111100020000-2000-111000-1100
χ34222-1222-1200-2-1-2-12-12-12-10002200-21-2-121-2-2-2-1-12200002-2-20-1-111111-1-1-1000-200002000-1110001-100
χ35222-1222-1200-2-1-2-12-12-12-1000-2-20021-2-1-21-222-1-1-2-20000-2220111-11-1-1111000-2000020001-1-10001-100
χ36222-1222-1200-2-1-2-12-12-12-1000-2-200-21-2-121-2-2-2-1-1220000-22201111111-1-1-100020000-20001-1-1000-1100
χ3722-2222-2222222-2-2-22-222-22-2-20022022-20-2-200-2200-222-2000-20020-2000000000-200002000000000000
χ3822-2222-22222-222-2-22-222-22-2-200220-2-2-202200-22002-22-2000-200-20200000000020000-2000000000000
χ3922-2222-222-2-222-2-2-22-222-2-22200-2-2022-20-2-200-22002-2-2200020020-200000000020000-2000000000000
χ4022-2222-222-2-2-222-2-22-222-2-22200-2-20-2-2-202200-2200-22-22000200-202000000000-200002000000000000
χ4122-222-222222020-2-222-2-22-22-22222000-2000002-20000-22-200-22200000000220000000000-200-2000000
χ4222-222-222222020-2-222-2-22-22-2-2-222000-2000002-20000-22200-2-2-200000000-2-200000000002002000000
χ4322-222-2222-2-2020-2-222-2-222-2222-2-2000-2000002-200002-2-20022200000000-2-20000000000-2002000000
χ4422-222-2222-2-2020-2-222-2-222-22-2-2-2-2000-2000002-200002-22002-2-200000000220000000000200-2000000
χ4522-22-12-22-1222-1-2-21-112-1-22-2-200-1-102-110-21−i3i31-1−i3i3-22-11000100-101−i3i30−i3i300001−i3i300-1−i3i30000000000
χ4622-22-12-22-1222-1-2-21-112-1-22-2-200-1-102-110-21i3−i31-1i3−i3-22-11000100-101i3−i30i3−i300001i3−i300-1i3−i30000000000
χ4722-22-12-22-122-2-12-21-112-1-22-2-200-1-10-21102-1−i3i31-1i3−i32-2-1100010010-1−i3i30i3−i30000-1−i3i3001i3−i30000000000
χ4822-22-12-22-122-2-12-21-112-1-22-2-200-1-10-21102-1i3−i31-1−i3i32-2-1100010010-1i3−i30−i3i30000-1i3−i3001−i3i30000000000
χ4922-22-12-22-1-2-22-1-2-21-112-1-2-222001102-110-21−i3i31-1−i3i32-21-1000-100-101−i3i30−i3i30000-1i3−i3001i3−i30000000000
χ5022-22-12-22-1-2-22-1-2-21-112-1-2-222001102-110-21i3−i31-1i3−i32-21-1000-100-101i3−i30i3−i30000-1−i3i3001−i3i30000000000
χ5122-22-12-22-1-2-2-2-12-21-112-1-2-22200110-21102-1−i3i31-1i3−i3-221-1000-10010-1−i3i30i3−i300001i3−i300-1−i3i30000000000
χ5222-22-12-22-1-2-2-2-12-21-112-1-2-22200110-21102-1i3−i31-1−i3i3-221-1000-10010-1i3−i30−i3i300001−i3i300-1i3−i30000000000
χ534444-2-4-44-2440-204-2-22-42-4-4-4400-2-2000-20000022000022000-200000000000000000000000000000000
χ544444-2-4-44-2-4-40-204-2-22-42-444-40022000-200000220000-2-2000200000000000000000000000000000000
χ55444-24-4-4-24000-20-24-2-42-420000000000-2000002200000004i−4i000000000000000000000000−2i2i0000000
χ56444-24-4-4-24000-20-24-2-42-420000000000-200000220000000−4i4i0000000000000000000000002i−2i0000000
χ57444-2-244-2-200414-2-21-2-2-2-200000004-2-214-2-2-2-211-2-200000000001-2111-2110000000000000000000000
χ58444-2-244-2-200414-2-21-2-2-2-20000000-4-2-21-4-2-22211220000000000121-1-12-1-10000000000000000000000
χ59444-2-244-2-200-41-4-2-21-2-2-2-200000004221-422-2-211220000000000-1-2-1112-1-10000000000000000000000
χ60444-2-244-2-200-41-4-2-21-2-2-2-20000000-42214222211-2-20000000000-12-1-1-1-2110000000000000000000000
χ6144-44-2-444-2440-20-42-2-2-424-44-400-2-2000200000-2200002-2000200000000000000000000000000000000
χ6244-44-2-444-2-4-40-20-42-2-2-4244-440022000200000-220000-22000-200000000000000000000000000000000
χ6344-4-244-4-24004-2-42-4-2-4-24200000000-24202-4002-2000000000000-202000000000000000000000000000
χ6444-4-244-4-2400-4-242-4-2-4-242000000002-420-24002-200000000000020-2000000000000000000000000000
χ6544-4-24-44-24000-202-4-242-4-20004400000200000-22000000-4000-2-2000000000000000000002000000000
χ6644-4-24-44-24000-202-4-242-4-2000-4-400000200000-2200000040002200000000000000000000-2000000000
χ6744-4-2-24-4-2-20041-42212-2-2200000000-2-2-1022−2i32i3-11−2i32i3000000000010-1i3−i30i3−i30000000000000000000000
χ6844-4-2-24-4-2-20041-42212-2-2200000000-2-2-10222i3−2i3-112i3−2i3000000000010-1−i3i30−i3i30000000000000000000000
χ6944-4-2-24-4-2-200-4142212-2-220000000022-10-2-2−2i32i3-112i3−2i30000000000-101i3−i30−i3i30000000000000000000000
χ7044-4-2-24-4-2-200-4142212-2-220000000022-10-2-22i3−2i3-11−2i32i30000000000-101−i3i30i3−i30000000000000000000000
χ714-404400-4-44i−4i04000-40000000−2i22i24i−4i000000000000000000000−2i22i20000000022−2200000000000000000000
χ724-404400-4-44i−4i04000-400000002i2−2i24i−4i0000000000000000000002i2−2i200000000−222200000000000000000000
χ734-404400-4-4−4i4i04000-40000000−2i22i2−4i4i000000000000000000000−2i22i200000000−222200000000000000000000
χ744-404400-4-4−4i4i04000-400000002i2−2i2−4i4i0000000000000000000002i2−2i20000000022−2200000000000000000000
χ75888-4-4-8-8-4-400020-4-4244440000000000200000-2-2000000000000000000000000000000000000000000
χ7688-8-4-4-88-4-400020442-444-40000000000-2000002-2000000000000000000000000000000000000000000
χ778-808-400-848i−8i0-40004000000000−4i4i00000000000000000000000000000000000000000000000000000
χ788-808-400-84−8i8i0-400040000000004i−4i00000000000000000000000000000000000000000000000000000
χ798-80-48004-8000-400040000000−4i24i2000000000000000000000002i2−2i2000000000000000000000000000000
χ808-80-48004-8000-4000400000004i2−4i200000000000000000000000−2i22i2000000000000000000000000000000
χ8116-160-8-800880004000-40000000000000000000000000000000000000000000000000000000000000000

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