Finite Group Databasebeta

← Group #11886857

Character table — Group #11886857

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11222222244444444446688888888888881212121212121212121212121212121616161616161616181824242424242424242424242424243648727272
order1223344662346661212121288466681212121212122424222444446681212242461212121224242488246666812121212121224824288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-111-1-1-1111111111111111-1-11-1-1111-11-1-1-1-1-11-1-1-1-1-1
χ3111111111111111111111-1111-11-1-1111-1-11-111-11-1-1-1-11-1-1111-11-1-1-1-1-1-1-1-1111-1-1-11111-1-11-1-111-1
χ4111111111111111111111-1111-11-1-1111-1-11-1-11-1-111-1-11-1-1111-11-1-1-1-1-111-1-1-11-1-111-1-1-111111-1-11
χ51111111111111111111-1-11111111111111-1-11-1-1111-1-1-1-1-1-1-111111111-1-1-111-1-1-11-111111-1-11-1-1-1
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
χ71111111111111111111-1-1-1111-11-1-1111-1-1-111-111-1-111-111-1-11-11-1-1-1-1-111111-111-1-1111-1-1-11-1-1-11
χ81111111111111111111-1-1-1111-11-1-1111-1-1-11-1-11-11111-111-1-11-11-1-1-1-1-1-1-11-1-1-1111-1-1-1-111-1-1111-1
χ9111111111-11-11111111111-1-11-1-111-111-1-1-1-11-1-11-1-1-1-11-1-111-11-111-1-1-1-1-11-11-1111-11-1-1-1-11-11-111
χ10111111111-11-11111111111-1-11-1-111-111-1-1-1-1-1-1-1-111-1-11-1-111-11-111-1-1-11111-1-111-1-1-1111111-11-1-1
χ11111111111-11-1111111111-1-1-111-1-1-1-11111-111-111111111111-1-1-1-1-111111-1-11-1-1-1-1-11-1-11111-1-11-1
χ12111111111-11-1111111111-1-1-111-1-1-1-11111-11-1-11-1-1-11111111-1-1-1-1-1111-1-1-11-1-1-1-11-1-111-1-11-111-11
χ13111111111-11-11111111-1-11-1-11-1-111-111-1-1111111-1-111-111-1-1-11-111-1-1-111-1-111-1-1111-1-1-1-1-1111-1-1
χ14111111111-11-11111111-1-11-1-11-1-111-111-1-111-111-11111-111-1-1-11-111-1-1-1-1-1-11-11-1-1-11-11111-1-1-1-111
χ15111111111-11-11111111-1-1-1-1-111-1-1-1-111111-111-1111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-11111-111-1-111-1-1-11-11
χ16111111111-11-11111111-1-1-1-1-111-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111111-111-1-1-111-11-1
χ172222-122-122-12-12-1-122-12222-1-12-1-1-12-1-1-1-122022000-1-12-1-1-1-1-12-1-1-12-1-100200-1-1-10-100000-100000
χ182222-122-122-12-12-1-122-122-22-1-1-2-1112-1-1112-202-200011211-1-1-1-2-111-21100-200-1110-100000-100000
χ192222-122-122-12-12-1-122-1-2-222-1-12-1-1-12-1-1-1-1-2-20-2-200011-21111-12-1-1-12-1-100-2001110100000100000
χ202222-122-122-12-12-1-122-1-2-2-22-1-1-2-1112-1-111-220-22000-1-1-2-1-111-1-2-111-211002001-1-10100000100000
χ212222-122-12-2-1-2-12-1-122-1222-21-1-21-1-1-2-1-111-2-20-2-200011211-1-1121-1-1-211002001-1-10100000-100000
χ222222-122-12-2-1-2-12-1-122-122-2-21-12111-2-1-1-1-1-220-22000-1-12-1-1-1-11-21112-1-100-2001110100000-100000
χ232222-122-12-2-1-2-12-1-122-1-2-22-21-1-21-1-1-2-1-11122022000-1-1-2-1-111121-1-1-21100-200-1110-100000100000
χ242222-122-12-2-1-2-12-1-122-1-2-2-2-21-12111-2-1-1-1-12-202-200011-211111-21112-1-100200-1-1-10-100000100000
χ25222-12222-12-122-1-12-1-12002-12-12222-1-1-122002002220000000-1-1-1-1-1-1-1-10002-100020-1-1-1-1-100-1000
χ26222-12222-12-122-1-12-1-12002-12-12222-1-1-12200-200-2-2-20000000-1-1-1-1-1-1-1-1000-21000-2011111001000
χ27222-12222-12-122-1-12-1-1200-2-12-1-22-2-2-1-1-1-2-2002002-2-20000000-11-1111110002-1000-20-1-1-111001000
χ28222-12222-12-122-1-12-1-1200-2-12-1-22-2-2-1-1-1-2-200-200-2220000000-11-111111000-2100020111-1-100-1000
χ29222-12222-1-2-1-22-1-12-1-120021-2-1-2-2221-1-1-2-2002002-2-200000001-11-1-1111000-2-100020-1111100-1000
χ30222-12222-1-2-1-22-1-12-1-120021-2-1-2-2221-1-1-2-200-200-22200000001-11-1-111100021000-201-1-1-1-1001000
χ31222-12222-1-2-1-22-1-12-1-1200-21-2-12-2-2-21-1-12200200222000000011111-1-1-1000-2-1000-20-111-1-1001000
χ32222-12222-1-2-1-22-1-12-1-1200-21-2-12-2-2-21-1-12200-200-2-2-2000000011111-1-1-100021000201-1-11100-1000
χ3322-2222-22222-2-2-22-22-2222022-20-200-2-2200-2002000000-2002220-20000000000-2000200000-200000
χ3422-2222-22222-2-2-22-22-22-2-2022-20-200-2-2200200-2000000200-2-220-200000000002000-200000200000
χ3522-2222-222-222-2-22-22-22220-2-2-202002-2200200-2000000-20022-20200000000002000-200000-200000
χ3622-2222-222-222-2-22-22-22-2-20-2-2-202002-2200-2002000000200-2-2-2020000000000-2000200000200000
χ3722-222-2222020-2-222-22-200000-2000002-2000220-2-200220-2-20000000000-2-200200000-20000020000
χ3822-222-2222020-2-222-22-200000-2000002-20002-20-2200220-2-200000000002200-200000200000-20000
χ3922-222-2222020-2-222-22-200000-2000002-2000-2202-200-2-202200000000002200200000-200000-20000
χ4022-222-2222020-2-222-22-200000-2000002-2000-2-202200-2-20220000000000-2-200-20000020000020000
χ4122-22-12-2-122-1-21-2-112-2-12202-1101−i3i3-21-1−i3i3-20020000−i3i3-2−i3i3-1-1-101−i3i30−i3i3000001−i3i30-100000100000
χ4222-22-12-2-122-1-21-2-112-2-12202-1101i3−i3-21-1i3−i3-20020000i3−i3-2i3−i3-1-1-101i3−i30i3−i3000001i3−i30-100000100000
χ4322-22-12-2-122-1-21-2-112-2-1-2-202-1101−i3i3-21-1−i3i3200-20000i3−i32i3−i311-101−i3i30−i3i300000-1i3−i30100000-100000
χ4422-22-12-2-122-1-21-2-112-2-1-2-202-1101i3−i3-21-1i3−i3200-20000−i3i32−i3i311-101i3−i30i3−i300000-1−i3i30100000-100000
χ4522-22-12-2-12-2-121-2-112-2-1220-2110-1−i3i321-1i3−i3200-20000i3−i3-2i3−i3-1-110-1−i3i30i3−i300000-1−i3i30100000100000
χ4622-22-12-2-12-2-121-2-112-2-1220-2110-1i3−i321-1−i3i3200-20000−i3i3-2−i3i3-1-110-1i3−i30−i3i300000-1i3−i30100000100000
χ4722-22-12-2-12-2-121-2-112-2-1-2-20-2110-1−i3i321-1i3−i3-20020000−i3i32−i3i31110-1−i3i30i3−i3000001i3−i30-100000-100000
χ4822-22-12-2-12-2-121-2-112-2-1-2-20-2110-1i3−i321-1−i3i3-20020000i3−i32i3−i31110-1i3−i30−i3i3000001−i3i30-100000-100000
χ4944444-4-444040444-4-4-4-400000400000-4-40000000000000000000000000000000000000000000000
χ504444-2-4-4-240-20-24-22-4-4200000-200000220000000000−2i32i302i3−2i30000000000000000000000000000000
χ514444-2-4-4-240-20-24-22-4-4200000-2000002200000000002i3−2i30−2i32i30000000000000000000000000000000
χ52444-24-4-44-20-204-2-2-422-400000-20000022000000000000000000000000000000000000−2i32i300000000
χ53444-24-4-44-20-204-2-2-422-400000-200000220000000000000000000000000000000000002i3−2i300000000
χ54444-2-244-2-2414-2-21-2-2-2-2004-2-214-2-2-2-211-2-20000000000000001-2111-211000000000000000000000
χ55444-2-244-2-2414-2-21-2-2-2-200-4-2-21-4-222-21122000000000000000121-1-12-1-1000000000000000000000
χ56444-2-244-2-2-41-4-2-21-2-2-2-2004221-42-2-221122000000000000000-1-2-1112-1-1000000000000000000000
χ57444-2-244-2-2-41-4-2-21-2-2-2-200-42214222211-2-2000000000000000-12-1-1-1-211000000000000000000000
χ5844-44-2-44-240-202-4-2-2-44200000200000-22000400-4000-2-20220000000000000000000000000000000
χ5944-44-2-44-240-202-4-2-2-44200000200000-22000-4004000220-2-20000000000000000000000000000000
χ6044-4-244-44-24-2-4-42-2-4-224000-2420-40022-200000000000000000-20200000000000000000000000000
χ6144-4-244-44-2-4-24-42-2-4-2240002-420400-22-20000000000000000020-200000000000000000000000000
χ6244-4-24-444-20-20-42-242-2-400000200000-220000400-4000000000000000000000-20000020000000000
χ6344-4-24-444-20-20-42-242-2-400000200000-220000-4004000000000000000000000200000-20000000000
χ6444-4-2-24-4-2-241-42212-22-2000-2-2-102−2i32i32-11−2i32i300000000000000010-1i3−i30i3−i3000000000000000000000
χ6544-4-2-24-4-2-241-42212-22-2000-2-2-1022i3−2i32-112i3−2i300000000000000010-1−i3i30−i3i3000000000000000000000
χ6644-4-2-24-4-2-2-4142212-22-200022-10-2−2i32i3-2-112i3−2i3000000000000000-101i3−i30−i3i3000000000000000000000
χ6744-4-2-24-4-2-2-4142212-22-200022-10-22i3−2i3-2-11−2i32i3000000000000000-101−i3i30i3−i3000000000000000000000
χ684-404400-4-404000-40000−2i22i200000000000000000002-200000−2i22i200000000−2i22i2000000000002-2000000
χ694-404400-4-404000-40000−2i22i20000000000000000000-2200000−2i22i2000000002i2−2i200000000000-22000000
χ704-404400-4-404000-400002i2−2i200000000000000000002-2000002i2−2i2000000002i2−2i2000000000002-2000000
χ714-404400-4-404000-400002i2−2i20000000000000000000-22000002i2−2i200000000−2i22i200000000000-22000000
χ72888-4-4-8-8-4-4020-4-42444400000200000-2-20000000000000000000000000000000000000000000000
χ7388-8-4-4-88-4-4020442-44-4400000-2000002-20000000000000000000000000000000000000000000000
χ748-808-4004-80-400040000−4i24i2000000000000000000000000002i2−2i200000000000000000000000000000
χ758-808-4004-80-4000400004i2−4i200000000000000000000000000−2i22i200000000000000000000000000000
χ768-80-4800-840-4000400000000000000000000000004-40000000000000000000000000000-22000000
χ778-80-4800-840-400040000000000000000000000000-4400000000000000000000000000002-2000000
χ7816-160-8-8008804000-4000000000000000000000000000000000000000000000000000000000000000

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