Finite Group Databasebeta

← Group #11794002

Character table — Group #11794002

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size112224444888888899161616161818182424242424242424363636364848484848484848727272
order1222233664666666441212121244422444444888866121212121212488
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111-11-111-1-1-1-1-1-11-11-111-1-11-1-1
χ31111111111111111111111111-11-11-1-111-1-1-1-1-11-11-1-1111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ5111111111-111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ6111111111-111111111-1-1-1-11111-11-1-1-11111111-11-1-1-111-1-1-1
χ7111111111-111111111-1-1-1-1111-11-1111-1-11111-11-1111-1-1-1-1-1
χ8111111111-111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111-111
χ92222222222222222-2-22222-2-2-200000000000000000000-200
χ10222222222-2222222-2-2-2-2-2-2-2-2-200000000000000000000200
χ11222-2-2222202-2-2-22-22200002-2-20000002i−2i00000000002i−2i000
χ12222-2-2222202-2-2-22-22200002-2-2000000−2i2i0000000000−2i2i000
χ13222-2-2222202-2-2-22-2-2-20000-222020-200000000020-20000000
χ14222-2-2222202-2-2-22-2-2-20000-2220-202000000000-2020000000
χ1522-22-222220-22-2-2-22220000-22-200002i−2i00000000002i−2i00000
χ1622-22-222220-22-2-2-22220000-22-20000−2i2i0000000000−2i2i00000
χ1722-22-222220-22-2-2-22-2-200002-2220-200000000020-200000000
χ1822-22-222220-22-2-2-22-2-200002-22-202000000000-20200000000
χ1922-2-2222220-2-222-2-2220000-2-220000000000000000000002-2
χ2022-2-2222220-2-222-2-2220000-2-22000000000000000000000-22
χ2122-2-2222220-2-222-2-2-2-2000022-2000000002i2i−2i−2i00000000000
χ2222-2-2222220-2-222-2-2-2-2000022-200000000−2i−2i2i2i00000000000
χ23444441-21-241-21-2-210011-2-20000202002200000-10-100-1-1000
χ24444441-21-241-21-2-210011-2-20000-20-200-2-2000001010011000
χ25444441-21-2-41-21-2-2100-1-122000020200-2-200000-10-10011000
χ26444441-21-2-41-21-2-2100-1-1220000-20-200220000010100-1-1000
χ2744444-21-214-21-211-200-2-211000202022000000-10-10-1-100000
χ2844444-21-214-21-211-200-2-211000-20-20-2-200000010101100000
χ2944444-21-21-4-21-211-20022-1-10002020-2-2000000-10-101100000
χ3044444-21-21-4-21-211-20022-1-1000-20-20220000001010-1-100000
χ31444-4-41-21-2012-12-2-1003i−3i00000020-2002i−2i00000-10100−ii000
χ32444-4-41-21-2012-12-2-1003i−3i000000-20200−2i2i0000010-100i−i000
χ33444-4-41-21-2012-12-2-100−3i3i00000020-200−2i2i00000-10100i−i000
χ34444-4-41-21-2012-12-2-100−3i3i000000-202002i−2i0000010-100−ii000
χ3544-44-4-21-210212-1-1-200003i−3i00020-202i−2i000000-1010−ii00000
χ3644-44-4-21-210212-1-1-200003i−3i000-2020−2i2i00000010-10i−i00000
χ3744-44-4-21-210212-1-1-20000−3i3i00020-20−2i2i000000-1010i−i00000
χ3844-44-4-21-210212-1-1-20000−3i3i000-20202i−2i00000010-10−ii00000
χ394-400044-4-400000004i−4i0000000000000002ζ−2ζ2ζ3−2ζ300000000000
χ404-400044-4-400000004i−4i000000000000000−2ζ2ζ−2ζ32ζ300000000000
χ414-400044-4-40000000−4i4i0000000000000002ζ3−2ζ32ζ−2ζ00000000000
χ424-400044-4-40000000−4i4i000000000000000−2ζ32ζ3−2ζ2ζ00000000000
χ43888-8-8-42-420-4-24-22400000000000000000000000000000000
χ4488-88-82-42-40-2-4-244200000000000000000000000000000000
χ4588-8-882-42-40-242-44-200000000000000000000000000000000
χ4688-8-88-42-4204-2-42-2400000000000000000000000000000000
χ4716-160004-8-48000000000000000000000000000000000000000
χ4816-16000-848-4000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.