Finite Group Databasebeta

← Group #8028

Character table — Group #8028

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1111111111111111222222222222222244444444444444444444444444444444444488888888
order1222222244444444444444444444444422448888888888888888888888888888888844444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1
χ61111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ171-1-1111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ181-1-1111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ191-1-1111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ201-1-1111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ211-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1-1-111-1-111−ii−iii−ii−i
χ221-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-11111-1-111-1-1i−ii−i−ii−ii
χ231-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1-1-111-1-111i−ii−i−ii−ii
χ241-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-11111-1-111-1-1−ii−iii−ii−i
χ251-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-111-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1-1-111−iii−i−iii−i
χ261-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-111-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-11111-1-1i−i−iii−i−ii
χ271-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-111-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1-1-111i−i−iii−i−ii
χ281-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-111-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-11111-1-1−iii−i−iii−i
χ291-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-111-111-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ301-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-111-111-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ311-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-111-1-1-11111-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ321-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-111-1-1-11111-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ33222222222222222222-2-222-2-222-2-2-2-222-2-2-2-20000000000000000000000000000000000000000
χ342222222222222222-2-222-2-222-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-222-2-222-2-2-2-22222-2-222-2-20000000000000000000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-22222-2-20000000000000000000000000000000000000000
χ3722-22-2-22-22i2i−2i−2i2i2i−2i−2i002-2002-2002i−2i2i−2i00000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ3822-22-2-22-22i2i−2i−2i2i2i−2i−2i002-2002-2002i−2i2i−2i0000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ3922-22-2-22-22i2i−2i−2i2i2i−2i−2i00-2200-2200−2i2i−2i2i00000000000000000000001−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i00000000
χ4022-22-2-22-22i2i−2i−2i2i2i−2i−2i00-2200-2200−2i2i−2i2i0000000000000000000000−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i00000000
χ4122-22-2-22-2−2i−2i2i2i−2i−2i2i2i002-2002-200−2i2i−2i2i00000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ4222-22-2-22-2−2i−2i2i2i−2i−2i2i2i002-2002-200−2i2i−2i2i0000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ4322-22-2-22-2−2i−2i2i2i−2i−2i2i2i00-2200-22002i−2i2i−2i00000000000000000000001+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i00000000
χ4422-22-2-22-2−2i−2i2i2i−2i−2i2i2i00-2200-22002i−2i2i−2i0000000000000000000000−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i00000000
χ4522-2-22-2-222i−2i2i−2i2i−2i2i−2i2-2002-2002i−2i00002i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000000000
χ4622-2-22-2-222i−2i2i−2i2i−2i2i−2i2-2002-2002i−2i00002i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000000000
χ4722-2-22-2-222i−2i2i−2i2i−2i2i−2i-2200-2200−2i2i0000−2i2i00001−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i000000000000000000000000
χ4822-2-22-2-222i−2i2i−2i2i−2i2i−2i-2200-2200−2i2i0000−2i2i0000−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i000000000000000000000000
χ4922-2-22-2-22−2i2i−2i2i−2i2i−2i2i2-2002-200−2i2i0000−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
χ5022-2-22-2-22−2i2i−2i2i−2i2i−2i2i2-2002-200−2i2i0000−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000
χ5122-2-22-2-22−2i2i−2i2i−2i2i−2i2i-2200-22002i−2i00002i−2i00001+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i000000000000000000000000
χ5222-2-22-2-22−2i2i−2i2i−2i2i−2i2i-2200-22002i−2i00002i−2i0000−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i000000000000000000000000
χ532-222-2-2-222i2i−2i−2i−2i−2i2i2i002-200-2200−2i2i2i−2i00000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ542-222-2-2-222i2i−2i−2i−2i−2i2i2i002-200-2200−2i2i2i−2i0000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ552-222-2-2-222i2i−2i−2i−2i−2i2i2i00-22002-2002i−2i−2i2i00000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000
χ562-222-2-2-222i2i−2i−2i−2i−2i2i2i00-22002-2002i−2i−2i2i0000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000
χ572-222-2-2-22−2i−2i2i2i2i2i−2i−2i002-200-22002i−2i−2i2i00000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ582-222-2-2-22−2i−2i2i2i2i2i−2i−2i002-200-22002i−2i−2i2i0000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ592-222-2-2-22−2i−2i2i2i2i2i−2i−2i00-22002-200−2i2i2i−2i00000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000
χ602-222-2-2-22−2i−2i2i2i2i2i−2i−2i00-22002-200−2i2i2i−2i0000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000
χ612-22-22-22-22i−2i2i−2i−2i2i−2i2i2-200-22002i−2i0000−2i2i00001+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i000000000000000000000000
χ622-22-22-22-22i−2i2i−2i−2i2i−2i2i2-200-22002i−2i0000−2i2i0000−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000000000000000000
χ632-22-22-22-22i−2i2i−2i−2i2i−2i2i-22002-200−2i2i00002i−2i00001−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000000000000000000000
χ642-22-22-22-22i−2i2i−2i−2i2i−2i2i-22002-200−2i2i00002i−2i0000−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i000000000000000000000000
χ652-22-22-22-2−2i2i−2i2i2i−2i2i−2i2-200-2200−2i2i00002i−2i00001−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000000000000000
χ662-22-22-22-2−2i2i−2i2i2i−2i2i−2i2-200-2200−2i2i00002i−2i0000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000000000000000
χ672-22-22-22-2−2i2i−2i2i2i−2i2i−2i-22002-2002i−2i0000−2i2i00001+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000000000000000000000
χ682-22-22-22-2−2i2i−2i2i2i−2i2i−2i-22002-2002i−2i0000−2i2i0000−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i000000000000000000000000
χ692-2-2222-2-22222-2-2-2-222-2-2-2-2222222-2-2-2-2-22-220000000000000000000000000000000000000000
χ702-2-2222-2-22222-2-2-2-2-2-22222-2-2-2-2-2-22222-22-220000000000000000000000000000000000000000
χ712-2-2222-2-2-2-2-2-2222222-2-2-2-222-2-2-2-222222-2-220000000000000000000000000000000000000000
χ722-2-2222-2-2-2-2-2-22222-2-22222-2-22222-2-2-2-22-2-220000000000000000000000000000000000000000
χ73444-4-44-4-44-4-444-4-44000000000000000000000000000000000000000000000000000000000000
χ74444-4-44-4-4-444-4-444-4000000000000000000000000000000000000000000000000000000000000
χ754-4-4-4-44444-4-44-444-4000000000000000000000000000000000000000000000000000000000000
χ764-4-4-4-4444-444-44-4-44000000000000000000000000000000000000000000000000000000000000

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