Finite Group Databasebeta

← Group #11868055

Character table — Group #11868055

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222223344444444446666666888888888888812121212121212121212161616161616161618182424242424242424242424242436363648487272
order1223344664436668812121212224881212468121212122424242424242466888122424121212242424242488226668812242424242424862448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-11-1-1-1111111-1-11111111111-1-1-1-111-1-111-1-11-1-1-1-11111-1-1111-1-1-1-1
χ3111111111111111111111111-1-1111111111111111-1-11111-11-1-111111111-1-11-1-1111-1-111-111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-11-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-111-1-1-1-1-11-1-1-1-11-111-1-1-1-1-1-11111
χ5111111111111111-1-11111111111111-11111-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-11111-111-1-1-1-1-11-1-1-1-111-11-1
χ6111111111111111-1-111111111111-111-1-111-1-1-1-111-1-111-1-11111-1-1-11-1-11111-1-1-1-1-111-1-1-1111-1-11-11-11
χ7111111111111111-1-11111111-1-11111-11111-1-1-1-1-1-11111-1-1-11-1-1111-1-1-1-1-1-1-11-1111-111-1-1-1-1-111-1-11-11
χ8111111111111111-1-11111111-1-111-111-1-111-1-1-1-1111111-1-1-11-1-1-1-1-11-1-111-1-1-111-1-11-11-1-1-11111-11-11-1
χ9111111111-1-11111111111-1-1-111-1-1111111111111111-1-1-1-11-11111111111-1-1-111-1-1-111-1-11-1-1-1-1-111-1-1
χ10111111111-1-11111111111-1-1-111-1-1-11-1-1-1111111-1-111-1-1-1-11-111-1-1-1-111-1-1-1-11-11111-11-1-1111-1-1-1-1-111
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
χ12111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11111-1-1-1-11111111-1-1
χ13111111111-1-11111-1-11111-1-1-111-1-111-11111-1-1-1-1-1-1-1-1-1-1111-111111-1-1-1-1-1-1-1-11-1-1-11-1-11111111-11-1-11
χ14111111111-1-11111-1-11111-1-1-111-1-1-111-1-111-1-1-1-111-1-1-1-1111-111-1-1-11-1-111-1-11-1-111-11-1111-1-111-1-111-1
χ15111111111-1-11111-1-11111-1-1-1-1-1-1-111-11111-1-1-1-1-1-111-1-111-1-1-1-1111-1-1-1-1-111-1-11-1-111111-111-1-11-111-1
χ16111111111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-11-1-1111111111-1-1111-1-1-1-1-111-1-11
χ1722222-2-2222222222i−2i-2-2-2-2-2-22002202000-2-22i2i−2i−2i0000-2-22i−2i020000002i−2i0000000000002i−2i0000000000
χ1822222-2-222222222−2i2i-2-2-2-2-2-22002202000-2-2−2i−2i2i2i0000-2-2−2i2i02000000−2i2i000000000000−2i2i0000000000
χ1922222-2-222-2-222222i−2i-2-2-2-222-200-2-202000-2-22i2i−2i−2i000022−2i2i0-20000002i−2i000000000000−2i2i0000000000
χ2022222-2-222-2-22222−2i2i-2-2-2-222-200-2-202000-2-2−2i−2i2i2i0000222i−2i0-2000000−2i2i0000000000002i−2i0000000000
χ212222-1222-100-12-1-12222-1-100022002-1222-1-12-12-12222000020-1-1-1-1-1-1-1-1-1-10002-10002-100-100000-1-100
χ222222-1222-100-12-1-12222-1-10002200-2-1-2-2-2-1-12-12-1-2-222000020-1-11111-1-111000-2-1000-2-100-1000001100
χ232222-1222-100-12-1-12222-1-1000-2-2002-1222-1-12-12-122-2-20000-2011-1-1-1-1-1-1-1-1000-21000-21001000001100
χ242222-1222-100-12-1-12222-1-1000-2-200-2-1-2-2-2-1-12-12-1-2-2-2-20000-20111111-1-111000210002100100000-1-100
χ252222-1222-100-12-1-1-2-222-1-100022002-1-222-1-1-21-21-2-2-2-2000020-1-1-1-1-11111100021000-2100-100000-1100
χ262222-1222-100-12-1-1-2-222-1-10002200-2-12-2-2-1-1-21-2122-2-2000020-1-1111-111-1-1000-210002100-1000001-100
χ272222-1222-100-12-1-1-2-222-1-1000-2-2002-1-222-1-1-21-21-2-2220000-2011-1-1-111111000-2-10002-1001000001-100
χ282222-1222-100-12-1-1-2-222-1-1000-2-200-2-12-2-2-1-1-21-2122220000-2011111-111-1-10002-1000-2-100100000-1100
χ29222-1222-1222-1-12-122-1-12222200-1-12-12-1-1-1-1-12-12-1-100-1-1220-1002-1-12-1-1-1-100200-1-1200-1-10-1-10000000
χ30222-1222-1222-1-12-122-1-12222200-1-1-2-1-211-1-1-12-121100-1-1220-100-211-2-1-11100-20011-200-1-10110000000
χ31222-1222-1222-1-12-1-2-2-1-12222200-1-12-1-2-1-1-1-11-21-21100-1-1-2-20-1002-1-1-2111100200-1-1-200110110000000
χ32222-1222-1222-1-12-1-2-2-1-12222200-1-1-2-1211-1-11-21-2-1-100-1-1-2-20-100-211211-1-100-20011200110-1-10000000
χ33222-1222-12-2-2-1-12-122-1-122-2-2-200112-12-1-1-1-1-12-12-1-10011-2-201002-1-12-1-1-1-100-20011-200110110000000
χ34222-1222-12-2-2-1-12-122-1-122-2-2-20011-2-1-211-1-1-12-12110011-2-20100-211-2-1-11100200-1-1200110-1-10000000
χ35222-1222-12-2-2-1-12-1-2-2-1-122-2-2-200112-1-2-1-1-1-11-21-21100112201002-1-1-2111100-20011200-1-10-1-10000000
χ36222-1222-12-2-2-1-12-1-2-2-1-122-2-2-20011-2-1211-1-11-21-2-1-10011220100-211211-1-100200-1-1-200-1-10110000000
χ37222-12-2-2-1222-1-12-12i−2i11-2-2-2-2200-1-10-10−i3i311−i2ii−2i3−300112i−2i0-1000−i3i30−ii3−300000−i3i3000−ii03−30000000
χ38222-12-2-2-1222-1-12-12i−2i11-2-2-2-2200-1-10-10i3−i311−i2ii−2i−3300112i−2i0-1000i3−i30−ii−3300000i3−i3000−ii0−330000000
χ39222-12-2-2-1222-1-12-1−2i2i11-2-2-2-2200-1-10-10−i3i311i−2i−i2i−330011−2i2i0-1000−i3i30i−i−3300000−i3i3000i−i0−330000000
χ40222-12-2-2-1222-1-12-1−2i2i11-2-2-2-2200-1-10-10i3−i311i−2i−i2i3−30011−2i2i0-1000i3−i30i−i3−300000i3−i3000i−i03−30000000
χ41222-12-2-2-12-2-2-1-12-12i−2i11-2-222-200110-10−i3i311−i2ii−2i3−300-1-1−2i2i01000−i3i30−ii3−300000i3−i3000i−i0−330000000
χ42222-12-2-2-12-2-2-1-12-12i−2i11-2-222-200110-10i3−i311−i2ii−2i−3300-1-1−2i2i01000i3−i30−ii−3300000−i3i3000i−i03−30000000
χ43222-12-2-2-12-2-2-1-12-1−2i2i11-2-222-200110-10−i3i311i−2i−i2i−3300-1-12i−2i01000−i3i30i−i−3300000i3−i3000−ii03−30000000
χ44222-12-2-2-12-2-2-1-12-1−2i2i11-2-222-200110-10i3−i311i−2i−i2i3−300-1-12i−2i01000i3−i30i−i3−300000−i3i3000−ii0−330000000
χ4522-2222-222222-2-22002-22-22-2-222220-20002-2000000002-200-2-22200000000220000000000-20000-20000
χ4622-2222-222222-2-22002-22-22-2-2-2-2220-20002-2000000002-2002-2-2-200000000-2-200000000002000020000
χ4722-2222-222-2-22-2-22002-22-2-22222-2-20-20002-200000000-2200-222200000000-2-20000000000-2000020000
χ4822-2222-222-2-22-2-22002-22-2-222-2-2-2-20-20002-200000000-220022-2-20000000022000000000020000-20000
χ4922-222-2222222-2-2200-22-22-22-200220-2000-220000002-2-22000-20000000000000020000-200000-2200000
χ5022-222-2222222-2-2200-22-22-22-200220-2000-22000000-22-22000-200000000000000-200002000002-200000
χ5122-222-2222-2-22-2-2200-22-222-2200-2-20-2000-220000002-22-200020000000000000020000-2000002-200000
χ5222-222-2222-2-22-2-2200-22-222-2200-2-20-2000-22000000-222-2000200000000000000-20000200000-2200000
χ534444-2-4-44-200-24-2-24i−4i-4-42200000000-2000224i−2i−4i2i0000000000000000−2i2i000000000000000000000000
χ544444-2-4-44-200-24-2-2−4i4i-4-42200000000-200022−4i2i4i−2i00000000000000002i−2i000000000000000000000000
χ55444-2-244-2-2001-2-2144-2-2-2-20000000414-2-211-2-2-2-2-2-20000000000-211-211110000000000000000000000
χ56444-2-244-2-2001-2-2144-2-2-2-20000000-41-42211-2-2-2-22200000000002-1-1211-1-10000000000000000000000
χ57444-2-244-2-2001-2-21-4-4-2-2-2-2000000041-4-2-2112222220000000000-2112-1-1-1-10000000000000000000000
χ58444-2-244-2-2001-2-21-4-4-2-2-2-20000000-41422112222-2-200000000002-1-1-2-1-1110000000000000000000000
χ59444-2-2-4-4-2-2001-2-214i−4i22220000000010−2i32i3-1-1−2i−2i2i2i23−2300000000000i3−i30i−i−330000000000000000000000
χ60444-2-2-4-4-2-2001-2-214i−4i222200000000102i3−2i3-1-1−2i−2i2i2i−232300000000000−i3i30i−i3−30000000000000000000000
χ61444-2-2-4-4-2-2001-2-21−4i4i22220000000010−2i32i3-1-12i2i−2i−2i−232300000000000i3−i30−ii3−30000000000000000000000
χ62444-2-2-4-4-2-2001-2-21−4i4i222200000000102i3−2i3-1-12i2i−2i−2i23−2300000000000−i3i30−ii−330000000000000000000000
χ6344-44-24-44-200-2-42-2004-4-22000440002000-22000000000000-40-2-2000000000000000000002000000000
χ6444-44-24-44-200-2-42-2004-4-22000-4-40002000-22000000000000402200000000000000000000-2000000000
χ6544-44-2-444-200-2-42-200-442-20000000020002-20000004-400000000000000000000-200002000000000000
χ6644-44-2-444-200-2-42-200-442-20000000020002-2000000-440000000000000000000020000-2000000000000
χ6744-4-244-4-2444-22-4-200-224-44-4-400-2-202000-2200000000-22000200000000000000000000000000000000
χ6844-4-244-4-24-4-4-22-4-200-224-4-444002202000-22000000002-2000-200000000000000000000000000000000
χ6944-4-24-44-2444-22-4-2002-2-44-44-400-2-2020002-2000000002-2000200000000000000000000000000000000
χ7044-4-24-44-24-4-4-22-4-2002-2-444-440022020002-200000000-22000-200000000000000000000000000000000
χ714-404400-4-44i−4i400-4000000000−2i22i24i−4i000000000000000000000−2i22i20000000022−2200000000000000000000
χ724-404400-4-44i−4i400-40000000002i2−2i24i−4i0000000000000000000002i2−2i200000000−222200000000000000000000
χ734-404400-4-4−4i4i400-4000000000−2i22i2−4i4i000000000000000000000−2i22i200000000−222200000000000000000000
χ744-404400-4-4−4i4i400-40000000002i2−2i2−4i4i0000000000000000000002i2−2i20000000022−2200000000000000000000
χ7588-8-4-48-8-4-400244200-44-4400000000-20002-20000000000000000000000000000000000000000000000
χ7688-8-4-4-88-4-4002442004-44-400000000-2000-220000000000000000000000000000000000000000000000
χ778-808-400-8400-4004000000000−4i24i2000000000000000000000002i2−2i2000000000000000000000000000000
χ788-808-400-8400-40040000000004i2−4i200000000000000000000000−2i22i2000000000000000000000000000000
χ798-80-48004-88i−8i-400400000000000−4i4i00000000000000000000000000000000000000000000000000000
χ808-80-48004-8−8i8i-4004000000000004i−4i00000000000000000000000000000000000000000000000000000
χ8116-160-8-8008800400-4000000000000000000000000000000000000000000000000000000000000000000

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