Finite Group Databasebeta

← Group #11886872

Character table — Group #11886872

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11222222244444444446688888888888881212121212121212121212121212121616161616161616181824242424242424242424242424243648727272
order12233446623466612121212882666668121212122424222444446681212242466661224242488246666812121212121224824488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-111-1-1-1111111111111111-1-1-111-1-1-1-1-1111-1-11-1-1-1-1-1
χ3111111111111111111111-11-1-111-11111-1-11-111-11-1-1-1-11-1-111-11-1-11-1-1-1-1-11-11111-111-1-1-1-11-1-111-1
χ4111111111111111111111-11-1-111-11111-1-11-1-11-1-111-1-11-1-111-11-1-11-1-1-111-1-11-1-1-11-11-1-111111-1-11
χ51111111111111111111-1-11111111111111-1-11-1-1111-1-1-1-1-1-1-111111111-1-11-1-111111-1-1-111-1-11-1-1-1
χ61111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ71111111111111111111-1-1-11-1-111-11111-1-1-111-111-1-111-111-1-1-11-1-11-1-1-11111-1111-11-111-1-1-11-1-1-11
χ81111111111111111111-1-1-11-1-111-11111-1-1-11-1-11-11111-111-1-1-11-1-11-1-1-1-1-1-11-1-1-1-11-1-11111-1-1111-1
χ9111111111-11-11111111111-111-11-1-1-111-1-1-1-11-1-11-1-1-1-11-1-1111-111-1-1-1-1-1-1-11-11-1-111-111-1-11-11-111
χ10111111111-11-11111111111-111-11-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1111-111-1-1-1-11111-1-111-1-1-1111111-11-1-1
χ11111111111-11-1111111111-1-1-1-1-111-1-11111-111-111111111111-1-1-1-1-111111-1-1-11-1-1-11-1-1-11111-1-11-1
χ12111111111-11-1111111111-1-1-1-1-111-1-11111-11-1-11-1-1-11111111-1-1-1-1-1111-1-11-1-1-1111-1-1-1-1-1-11-111-11
χ13111111111-11-11111111-1-11-111-11-1-1-111-1-1111111-1-111-111-1-11-111-1-1-1-111-1-111-1-1111-1-1-1-1-1111-1-1
χ14111111111-11-11111111-1-11-111-11-1-1-111-1-111-111-11111-111-1-11-111-1-1-1-1-1-11-11-111-1-11-1-111-1-1-1-111
χ15111111111-11-11111111-1-1-1-1-1-1-111-1-111111-111-1111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1111111-1-1-11-11
χ16111111111-11-11111111-1-1-1-1-1-1-111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1111-1-1-111-11-1
χ172222-122-122-122-1-12-1-12002222-1-12-12-1-122002002220000000-1-1-1-1-1-1-1-100200-1-1-12-1000-1-100-1000
χ182222-122-122-122-1-12-1-12002222-1-12-12-1-12200-200-2-2-20000000-1-1-1-1-1-1-1-100-200111-2100011001000
χ192222-122-122-122-1-12-1-1200-22-2-2-1-1-2-12-1-1-2-2002002-2-200000001-111-111100200-1-1-1-2-100011001000
χ202222-122-122-122-1-12-1-1200-22-2-2-1-1-2-12-1-1-2-200-200-22200000001-111-111100-20011121000-1-100-1000
χ212222-122-12-2-1-22-1-12-1-12002-2221-1-21-2-1-1-2-2002002-2-20000000-11-1-1111100-200-1112-10001100-1000
χ222222-122-12-2-1-22-1-12-1-12002-2221-1-21-2-1-1-2-200-200-2220000000-11-1-11111002001-1-1-21000-1-1001000
χ232222-122-12-2-1-22-1-12-1-1200-2-2-2-21-121-2-1-12200200222000000011111-1-1-100-200-111-2-1000-1-1001000
χ242222-122-12-2-1-22-1-12-1-1200-2-2-2-21-121-2-1-12200-200-2-2-2000000011111-1-1-1002001-1-1210001100-1000
χ25222-12222-12-12-1-12-122-1222-1-1-12-122-1-1-1-1-122022000-1-12-1-1-1-12-1-1-1-12-1-10002-100000-1-1-100-100000
χ26222-12222-12-12-1-12-122-122-2-1112-1-22-1-1-1112-202-200011211-1-1-2-111-1-211000-2-100000-11100-100000
χ27222-12222-12-12-1-12-122-1-2-22-1-1-12-122-1-1-1-1-1-2-20-2-200011-211112-1-1-1-12-1-1000-210000011100100000
χ28222-12222-12-12-1-12-122-1-2-2-2-1112-1-22-1-1-111-220-22000-1-1-2-1-111-2-111-1-21100021000001-1-100100000
χ29222-12222-1-2-1-2-1-12-122-12221-1-1-2-1-2-21-1-111-2-20-2-200011211-1-121-1-11-21100021000001-1-100-100000
χ30222-12222-1-2-1-2-1-12-122-122-2111-2-12-21-1-1-1-1-220-22000-1-12-1-1-1-1-211112-1-1000-210000011100-100000
χ31222-12222-1-2-1-2-1-12-122-1-2-221-1-1-2-1-2-21-1-11122022000-1-1-2-1-11121-1-11-211000-2-100000-11100100000
χ32222-12222-1-2-1-2-1-12-122-1-2-2-2111-2-12-21-1-1-1-12-202-200011-21111-211112-1-10002-100000-1-1-100100000
χ3322-2222-22222-2-22-2-22-222202002-20-2-2-2200-2002000000-200220200-20000000-20000020000-200000
χ3422-2222-22222-2-22-2-22-22-2-202002-20-2-2-2200200-2000000200-2-20200-20000000200000-20000200000
χ3522-2222-222-222-22-2-22-22220-200-2-2022-2200200-2000000-200220-20020000000200000-20000-200000
χ3622-2222-222-222-22-2-22-22-2-20-200-2-2022-2200-2002000000200-2-20-20020000000-20000020000200000
χ3722-222-2222020-22-22-22-20000000-20002-2000220-2-200220-2-20000000000-2-20002000-200000020000
χ3822-222-2222020-22-22-22-20000000-20002-20002-20-2200220-2-2000000000022000-20002000000-20000
χ3922-222-2222020-22-22-22-20000000-20002-2000-2202-200-2-20220000000000220002000-2000000-20000
χ4022-222-2222020-22-22-22-20000000-20002-2000-2-202200-2-20220000000000-2-2000-2000200000020000
χ4122-2-122-22-12-1-21-1-212-2-1220-1−i3i3210-211-1−i3i3-20020000−i3i3-2−i3i3-1-10-1−i3i310−i3i30000100000-1−i3i300100000
χ4222-2-122-22-12-1-21-1-212-2-1220-1i3−i3210-211-1i3−i3-20020000i3−i3-2i3−i3-1-10-1i3−i310i3−i30000100000-1i3−i300100000
χ4322-2-122-22-12-1-21-1-212-2-1-2-20-1−i3i3210-211-1−i3i3200-20000i3−i32i3−i3110-1−i3i310−i3i30000-1000001i3−i300-100000
χ4422-2-122-22-12-1-21-1-212-2-1-2-20-1i3−i3210-211-1i3−i3200-20000−i3i32−i3i3110-1i3−i310i3−i30000-1000001−i3i300-100000
χ4522-2-122-22-1-2-121-1-212-2-12201−i3i3-2102-11-1i3−i3200-20000i3−i3-2i3−i3-1-101−i3i3-10i3−i30000-1000001−i3i300100000
χ4622-2-122-22-1-2-121-1-212-2-12201i3−i3-2102-11-1−i3i3200-20000−i3i3-2−i3i3-1-101i3−i3-10−i3i30000-1000001i3−i300100000
χ4722-2-122-22-1-2-121-1-212-2-1-2-201−i3i3-2102-11-1i3−i3-20020000−i3i32−i3i31101−i3i3-10i3−i30000100000-1i3−i300-100000
χ4822-2-122-22-1-2-121-1-212-2-1-2-201i3−i3-2102-11-1−i3i3-20020000i3−i32i3−i31101i3−i3-10−i3i30000100000-1−i3i300-100000
χ4944444-4-444040444-4-4-4-400000004000-4-40000000000000000000000000000000000000000000000
χ504444-2-4-4-240-204-2-2-422-40000000-2000220000000000000000000000000000000−2i32i30000000000000
χ514444-2-4-4-240-204-2-2-422-40000000-20002200000000000000000000000000000002i3−2i30000000000000
χ52444-24-4-44-20-20-2-242-4-420000000-2000220000000000−2i32i302i3−2i30000000000000000000000000000000
χ53444-24-4-44-20-20-2-242-4-420000000-20002200000000002i3−2i30−2i32i30000000000000000000000000000000
χ54444-2-244-2-2414-21-2-2-2-2-2004-2-2-2-214-2-211-2-2000000000000000-21111-211000000000000000000000
χ55444-2-244-2-2414-21-2-2-2-2-200-4-222-21-4-2-2112200000000000000021-1-112-1-1000000000000000000000
χ56444-2-244-2-2-41-4-21-2-2-2-2-20042-2-221-4221122000000000000000-2-111-12-1-1000000000000000000000
χ57444-2-244-2-2-41-4-21-2-2-2-2-200-42222142211-2-20000000000000002-1-1-1-1-211000000000000000000000
χ5844-44-24-4-244-2-4-4-22-4-224000400-2202-42-2000000000000000000-2002000000000000000000000000
χ5944-44-24-4-24-4-24-4-22-4-224000-400220-242-2000000000000000000200-2000000000000000000000000
χ6044-44-2-44-240-20-4-2242-2-400000002000-220000400-40000000000000000000000-2000200000000000
χ6144-44-2-44-240-20-4-2242-2-400000002000-220000-400400000000000000000000002000-200000000000
χ6244-4-24-444-20-202-2-4-2-44200000002000-22000400-4000-2-20220000000000000000000000000000000
χ6344-4-24-444-20-202-2-4-2-44200000002000-22000-4004000220-2-20000000000000000000000000000000
χ6444-4-2-24-4-2-241-42122-22-2000-2−2i32i3-2-1022-11−2i32i300000000000000001i3−i3-10i3−i3000000000000000000000
χ6544-4-2-24-4-2-241-42122-22-2000-22i3−2i3-2-1022-112i3−2i300000000000000001−i3i3-10−i3i3000000000000000000000
χ6644-4-2-24-4-2-2-4142122-22-20002−2i32i32-10-2-2-112i3−2i30000000000000000-1i3−i310−i3i3000000000000000000000
χ6744-4-2-24-4-2-2-4142122-22-200022i3−2i32-10-2-2-11−2i32i30000000000000000-1−i3i310i3−i3000000000000000000000
χ684-404400-4-40400-400000−2i22i200000000000000000002-200000−2i22i200000000−2i22i2000000000002-2000000
χ694-404400-4-40400-400000−2i22i20000000000000000000-2200000−2i22i2000000002i2−2i200000000000-22000000
χ704-404400-4-40400-4000002i2−2i200000000000000000002-2000002i2−2i2000000002i2−2i2000000000002-2000000
χ714-404400-4-40400-4000002i2−2i20000000000000000000-22000002i2−2i200000000−2i22i200000000000-22000000
χ72888-4-4-8-8-4-4020-42-4444400000002000-2-20000000000000000000000000000000000000000000000
χ7388-8-4-4-88-4-4020424-44-440000000-20002-20000000000000000000000000000000000000000000000
χ748-808-4004-80-4004000000000000000000000000004-40000000000000000000000000000-22000000
χ758-808-4004-80-400400000000000000000000000000-4400000000000000000000000000002-2000000
χ768-80-4800-840-400400000−4i24i2000000000000000000000000002i2−2i200000000000000000000000000000
χ778-80-4800-840-4004000004i2−4i200000000000000000000000000−2i22i200000000000000000000000000000
χ7816-160-8-800880400-40000000000000000000000000000000000000000000000000000000000000000

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