Finite Group Databasebeta

← Group #10822212

Character table — Group #10822212

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444488888888888888888888888888888888888824242424242424242424242424242424
order1244222222234444444666121212126666661212121212124444444488881212121212121212121212121212121224242424242424242222224444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1
χ911111-1-1-1-111111-1-1-1-11-1-1111-1-11-1-1-11111-1-1-1111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11-11-111-1-1
χ1011111-1-1-1-111111-1-1-1-11-1-1111-1-11-1-1-11111-1-1-1111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-1-111
χ1111111-1-1-1-111111-1-1-1-11-1-1111-1-11-1-1-11111-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-111-11-1-11-1-111
χ1211111-1-1-1-111111-1-1-1-11-1-1111-1-11-1-1-11111-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-1-11-111-111-1-1
χ1311111-1-1-1-111111-1-1-1-11-1-1111-1-11-1-1-11111-1-1-11-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-11-1-111-1-1-111
χ1411111-1-1-1-111111-1-1-1-11-1-1111-1-11-1-1-11111-1-1-11-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-11-111-1-1111-1-1
χ1511111-1-1-1-111111-1-1-1-11-1-1111-1-11-1-1-11111-1-1-11-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-1-11-1111-1-1
χ1611111-1-1-1-111111-1-1-1-11-1-1111-1-11-1-1-11111-1-1-11-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-111-11-1-1-111
χ1722222222222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1822222222222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000
χ1922222222222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000000000000
χ2022222222222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000000000000
χ212222222-2-2-2-22-2-222-2-22222222222-2-2-2-2-2-22-2-22000000002-22-2000000000000000022-2-222-2-20000000000000000
χ222222222-2-2-2-22-2-222-2-22222222222-2-2-2-2-2-22-2-2200000000-22-220000000000000000-2-222-2-2220000000000000000
χ232222222-2-2-2-2-1-2-222-2-22-1-1-1-1-1-1-1-1-1111111-111-1000000002-22-233−3−333−3−333−3−333−3−3-1-111-1-1110000000000000000
χ242222222-2-2-2-2-1-2-222-2-22-1-1-1-1-1-1-1-1-1111111-111-1000000002-22-2−3−333−3−333−3−333−3−333-1-111-1-1110000000000000000
χ252222222-2-2-2-2-1-2-222-2-22-1-1-1-1-1-1-1-1-1111111-111-100000000-22-2233−3−333−3−3−3−333−3−33311-1-111-1-10000000000000000
χ262222222-2-2-2-2-1-2-222-2-22-1-1-1-1-1-1-1-1-1111111-111-100000000-22-22−3−333−3−33333−3−333−3−311-1-111-1-10000000000000000
χ2722222-2-222-2-22-2-2-2-2222-2-2222-2-22-222-2-2-2-2-2222000000002-2-22000000000000000022-2-2-2-2220000000000000000
χ2822222-2-222-2-22-2-2-2-2222-2-2222-2-22-222-2-2-2-2-222200000000-222-20000000000000000-2-22222-2-20000000000000000
χ2922222-2-222-2-2-1-2-2-2-222211-1-1-111-11-1-111111-1-1-1000000002-2-2233−3−3−3−33333−3−3−3−333-1-11111-1-10000000000000000
χ3022222-2-222-2-2-1-2-2-2-222211-1-1-111-11-1-111111-1-1-1000000002-2-22−3−33333−3−3−3−33333−3−3-1-11111-1-10000000000000000
χ3122222-2-222-2-2-1-2-2-2-222211-1-1-111-11-1-111111-1-1-100000000-222-233−3−3−3−333−3−33333−3−311-1-1-1-1110000000000000000
χ3222222-2-222-2-2-1-2-2-2-222211-1-1-111-11-1-111111-1-1-100000000-222-2−3−33333−3−333−3−3−3−33311-1-1-1-1110000000000000000
χ3322222-2-2-2-222-122-2-2-2-2211-1-1-111-1111-1-1-1-1111-122-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110000000000000000
χ3422222-2-2-2-222-122-2-2-2-2211-1-1-111-1111-1-1-1-1111-122-2-2-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-10000000000000000
χ3522222-2-2-2-222-122-2-2-2-2211-1-1-111-1111-1-1-1-1111-1-2-22222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000
χ3622222-2-2-2-222-122-2-2-2-2211-1-1-111-1111-1-1-1-1111-1-2-222-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-111110000000000000000
χ372222-22-22-22-222-22-22-2-22222222-2-22-22-22-2-22-2-200002-22-20000000000002-22-22-22-2000000000000000000000000
χ382222-22-22-22-222-22-22-2-22222222-2-22-22-22-2-22-2-20000-22-22000000000000-22-22-22-22000000000000000000000000
χ392222-22-22-22-2-12-22-22-2-2-1-1-1-1-1-1-111-11-11-111-11100002-22-200003−33−33−33−3-11-11-11-113−33−33−33−30000000000000000
χ402222-22-22-22-2-12-22-22-2-2-1-1-1-1-1-1-111-11-11-111-11100002-22-20000−33−33−33−33-11-11-11-11−33−33−33−330000000000000000
χ412222-22-22-22-2-12-22-22-2-2-1-1-1-1-1-1-111-11-11-111-1110000-22-2200003−33−33−33−31-11-11-11-1−33−33−33−330000000000000000
χ422222-22-22-22-2-12-22-22-2-2-1-1-1-1-1-1-111-11-11-111-1110000-22-220000−33−33−33−331-11-11-11-13−33−33−33−30000000000000000
χ432222-22-2-22-222-222-2-22-22222222-2-2-22-22-22-2-22-22-22-2000000002-2-222-2-2200000000000000000000000000000000
χ442222-22-2-22-222-222-2-22-22222222-2-2-22-22-22-2-22-2-22-2200000000-222-2-222-200000000000000000000000000000000
χ452222-22-2-22-22-1-222-2-22-2-1-1-1-1-1-1-1111-11-11-111-112-22-200000000-111-1-111-13−3−333−3−33−333−3−333−30000000000000000
χ462222-22-2-22-22-1-222-2-22-2-1-1-1-1-1-1-1111-11-11-111-112-22-200000000-111-1-111-1−333−3−333−33−3−333−3−330000000000000000
χ472222-22-2-22-22-1-222-2-22-2-1-1-1-1-1-1-1111-11-11-111-11-22-22000000001-1-111-1-113−3−333−3−333−3−333−3−330000000000000000
χ482222-22-2-22-22-1-222-2-22-2-1-1-1-1-1-1-1111-11-11-111-11-22-22000000001-1-111-1-11−333−3−333−3−333−3−333−30000000000000000
χ492222-2-222-2-222-22-222-2-2-2-2222-2-2-222-2-22-2222-2-22-2-22000000002-2-22-222-200000000000000000000000000000000
χ502222-2-222-2-222-22-222-2-2-2-2222-2-2-222-2-22-2222-2-2-222-200000000-222-22-2-2200000000000000000000000000000000
χ512222-2-222-2-22-1-22-222-2-211-1-1-1111-1-111-11-1-1-1112-2-2200000000-111-11-1-113−3−33−333−3−333−33−3−330000000000000000
χ522222-2-222-2-22-1-22-222-2-211-1-1-1111-1-111-11-1-1-1112-2-2200000000-111-11-1-11−333−33−3−333−3−33−333−30000000000000000
χ532222-2-222-2-22-1-22-222-2-211-1-1-1111-1-111-11-1-1-111-222-2000000001-1-11-111-13−3−33−333−33−3−33−333−30000000000000000
χ542222-2-222-2-22-1-22-222-2-211-1-1-1111-1-111-11-1-1-111-222-2000000001-1-11-111-1−333−33−3−33−333−33−3−330000000000000000
χ552222-2-22-222-222-2-22-22-2-2-2222-2-2-22-222-22-22-22-200002-2-220000000000002-22-2-22-22000000000000000000000000
χ562222-2-22-222-222-2-22-22-2-2-2222-2-2-22-222-22-22-22-20000-222-2000000000000-22-222-22-2000000000000000000000000
χ572222-2-22-222-2-12-2-22-22-211-1-1-1111-11-1-11-11-11-1100002-2-2200003−33−3−33−33-11-111-11-13−33−3−33−330000000000000000
χ582222-2-22-222-2-12-2-22-22-211-1-1-1111-11-1-11-11-11-1100002-2-220000−33−333−33−3-11-111-11-1−33−333−33−30000000000000000
χ592222-2-22-222-2-12-2-22-22-211-1-1-1111-11-1-11-11-11-110000-222-200003−33−3−33−331-11-1-11-11−33−333−33−30000000000000000
χ602222-2-22-222-2-12-2-22-22-211-1-1-1111-11-1-11-11-11-110000-222-20000−33−333−33−31-11-1-11-113−33−3−33−330000000000000000
χ6122-2-222222222-2-2-2-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-20000000000000000000000000000000000002-20000-2200000000
χ6222-2-222222222-2-2-2-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000000000000000-2200002-200000000
χ6322-2-2222-2-2-2-2222-2-222-2222-2-2-2-222-2-2-2-222-222-20000000000000000000000000000000000000000000000002i−2i2i−2i
χ6422-2-2222-2-2-2-2222-2-222-2222-2-2-2-222-2-2-2-222-222-2000000000000000000000000000000000000000000000000−2i2i−2i2i
χ6522-2-22-2-222-2-222222-2-2-2-2-22-2-2222-222-2-2222-2-2-20000000000000000000000000000000000000000000000002i−2i−2i2i
χ6622-2-22-2-222-2-222222-2-2-2-2-22-2-2222-222-2-2222-2-2-2000000000000000000000000000000000000000000000000−2i2i2i−2i
χ6722-2-22-2-2-2-2222-2-22222-2-2-22-2-2222-2-2-222-2-2222-2000000000000000000000000000000000000220000-2-200000000
χ6822-2-22-2-2-2-2222-2-22222-2-2-22-2-2222-2-2-222-2-2222-2000000000000000000000000000000000000-2-200002200000000
χ6922-2-2-22-22-22-22-22-22-222222-2-2-2-2-2-22-22-2-222-22200000000000000000000000000000000000000002-20000-220000
χ7022-2-2-22-22-22-22-22-22-222222-2-2-2-2-2-22-22-2-222-2220000000000000000000000000000000000000000-2200002-20000
χ7122-2-2-22-2-22-2222-2-222-22222-2-2-2-2-2-2-22-222-222-22000000000000000000000000000000000000002-20000-22000000
χ7222-2-2-22-2-22-2222-2-222-22222-2-2-2-2-2-2-22-222-222-2200000000000000000000000000000000000000-2200002-2000000
χ7322-2-2-2-222-2-2222-22-2-222-2-22-2-222-222-2-222-2-2-22200000000000000000000000000000000000000220000-2-2000000
χ7422-2-2-2-222-2-2222-22-2-222-2-22-2-222-222-2-222-2-2-22200000000000000000000000000000000000000-2-2000022000000
χ7522-2-2-2-22-222-22-222-22-22-2-22-2-222-22-222-2-22-22-220000000000000000000000000000000000000000220000-2-20000
χ7622-2-2-2-22-222-22-222-22-22-2-22-2-222-22-222-2-22-22-220000000000000000000000000000000000000000-2-20000220000
χ7744-4-44444444-2-4-4-4-4-4-4-4-2-2-22222-2-2-2-2-2-22222220000000000000000000000000000000000000000000000000000
χ7844-4-4444-4-4-4-4-244-4-444-4-2-2-22222-2-22222-2-22-2-220000000000000000000000000000000000000000000000000000
χ7944-4-44-4-444-4-4-24444-4-4-422-222-2-2-22-2-222-2-2-22220000000000000000000000000000000000000000000000000000
χ8044-4-44-4-4-4-444-2-4-44444-422-222-2-2-2222-2-222-2-2-220000000000000000000000000000000000000000000000000000
χ8144-4-4-44-44-44-4-2-44-44-444-2-2-2222222-22-222-2-22-2-20000000000000000000000000000000000000000000000000000
χ8244-4-4-44-4-44-44-24-4-444-44-2-2-22222222-22-2-22-2-22-20000000000000000000000000000000000000000000000000000
χ8344-4-4-4-444-4-44-24-44-4-44422-222-2-22-2-222-2-2222-2-20000000000000000000000000000000000000000000000000000
χ8444-4-4-4-44-444-4-2-444-44-4422-222-2-22-22-2-222-22-22-20000000000000000000000000000000000000000000000000000
χ858-88i−8i00000008000000000-88i−8i000000000000000000000000000000000000000000000000000000000000000000
χ868-88i−8i0000000-40000000−4i34i34−4i4i43−430000000000000000000000000000000000000000000000000000000000000000
χ878-88i−8i0000000-400000004i3−4i34−4i4i−43430000000000000000000000000000000000000000000000000000000000000000
χ888-8−8i8i00000008000000000-8−8i8i000000000000000000000000000000000000000000000000000000000000000000
χ898-8−8i8i0000000-40000000−4i34i344i−4i−43430000000000000000000000000000000000000000000000000000000000000000
χ908-8−8i8i0000000-400000004i3−4i344i−4i43−430000000000000000000000000000000000000000000000000000000000000000

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