Finite Group Databasebeta

← Group #10944238

Character table — Group #10944238

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222222222222222222244444444444444444444444444446666666666666666666666666666666616161616161616161616161648484848
order122222222222344444444666666688888888888888886666121212121212121224242424242424242424242424242424222222224444444488888888888888882444661212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-11-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111-111-1
χ911111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1
χ1011111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111
χ1111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-111
χ1211111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1-1
χ1311111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-11-11
χ1411111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-11-11-1
χ1511111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111-11-1
χ1611111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-11-11
χ172222222222222-2-2-2-2-2-2-2-2222222200000000000000002222-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2222222200000000000000002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ19222222222222-122222222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ20222222222222-122222222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000-2-2-2-2111111110000
χ21222222222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000000022-2-2-1-1-1-111110000
χ22222222222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000-2-2221111-1-1-1-10000
χ2322222222-2-2-2-22-2-2-22222-222222220000000000000000-2-2-2-2-2-2-22222-200000000000000002222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ2422222222-2-2-2-22-2-2-22222-222222220000000000000000-2-2-2-2-2-2-22222-20000000000000000-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ2522222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-21111-1-1-11111-1-1-1-1-1-1-1-1-111111111000000000000000000000000000000002-22-2-1-111-1-1110000
χ2622222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-21111-1-1-11111-1-1-1-1-1-1-1-1-11111111100000000000000000000000000000000-22-2211-1-111-1-10000
χ2722222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222221111-1-1-11111-111111111-1-1-1-1-1-1-1-1000000000000000000000000000000002-2-22-1-11111-1-10000
χ2822222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222221111-1-1-11111-111111111-1-1-1-1-1-1-1-100000000000000000000000000000000-222-211-1-1-1-1110000
χ29222-22-2-2-2000020002i2i−2i−2i022-22-2-2-22222−2−2−2−2−i2−i2−i2−i2i2i2i2i200000002i2i−2i−2i02222−2−2−2−2−i2−i2−i2−i2i2i2i2i222-2-2000000002i2i−2i−2i2222−2−2−2−2−i2−i2−i2−i2i2i2i2i20000000000000000
χ30222-22-2-2-2000020002i2i−2i−2i022-22-2-2-22222−2−2−2−2−i2−i2−i2−i2i2i2i2i200000002i2i−2i−2i02222−2−2−2−2−i2−i2−i2−i2i2i2i2i2-2-22200000000−2i−2i2i2i−2−2−2−22222i2i2i2i2−i2−i2−i2−i20000000000000000
χ31222-22-2-2-2000020002i2i−2i−2i022-22-2-2-2−2−2−2−22222i2i2i2i2−i2−i2−i2−i200000002i2i−2i−2i0−2−2−2−22222i2i2i2i2−i2−i2−i2−i222-2-2000000002i2i−2i−2i−2−2−2−22222i2i2i2i2−i2−i2−i2−i20000000000000000
χ32222-22-2-2-2000020002i2i−2i−2i022-22-2-2-2−2−2−2−22222i2i2i2i2−i2−i2−i2−i200000002i2i−2i−2i0−2−2−2−22222i2i2i2i2−i2−i2−i2−i2-2-22200000000−2i−2i2i2i2222−2−2−2−2−i2−i2−i2−i2i2i2i2i20000000000000000
χ33222-22-2-2-200002000−2i−2i2i2i022-22-2-2-22222−2−2−2−2i2i2i2i2−i2−i2−i2−i20000000−2i−2i2i2i02222−2−2−2−2i2i2i2i2−i2−i2−i2−i222-2-200000000−2i−2i2i2i2222−2−2−2−2i2i2i2i2−i2−i2−i2−i20000000000000000
χ34222-22-2-2-200002000−2i−2i2i2i022-22-2-2-22222−2−2−2−2i2i2i2i2−i2−i2−i2−i20000000−2i−2i2i2i02222−2−2−2−2i2i2i2i2−i2−i2−i2−i2-2-222000000002i2i−2i−2i−2−2−2−22222−i2−i2−i2−i2i2i2i2i20000000000000000
χ35222-22-2-2-200002000−2i−2i2i2i022-22-2-2-2−2−2−2−22222−i2−i2−i2−i2i2i2i2i20000000−2i−2i2i2i0−2−2−2−22222−i2−i2−i2−i2i2i2i2i222-2-200000000−2i−2i2i2i−2−2−2−22222−i2−i2−i2−i2i2i2i2i20000000000000000
χ36222-22-2-2-200002000−2i−2i2i2i022-22-2-2-2−2−2−2−22222−i2−i2−i2−i2i2i2i2i20000000−2i−2i2i2i0−2−2−2−22222−i2−i2−i2−i2i2i2i2i2-2-222000000002i2i−2i−2i2222−2−2−2−2i2i2i2i2−i2−i2−i2−i20000000000000000
χ3722-22-22-2-2000020002i−2i2i−2i02-22-22-2-2−i2−i2i2i2−i2−i2i2i222−2−222−2−200000002i−2i2i−2i0−i2−i2i2i2−i2−i2i2i222−2−222−2−2000022-2-22i2i−2i−2i000022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ3822-22-22-2-2000020002i−2i2i−2i02-22-22-2-2−i2−i2i2i2−i2−i2i2i222−2−222−2−200000002i−2i2i−2i0−i2−i2i2i2−i2−i2i2i222−2−222−2−20000-2-222−2i−2i2i2i0000−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000
χ3922-22-22-2-2000020002i−2i2i−2i02-22-22-2-2i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000002i−2i2i−2i0i2i2−i2−i2i2i2−i2−i2−2−222−2−222000022-2-22i2i−2i−2i0000−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000
χ4022-22-22-2-2000020002i−2i2i−2i02-22-22-2-2i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000002i−2i2i−2i0i2i2−i2−i2i2i2−i2−i2−2−222−2−2220000-2-222−2i−2i2i2i000022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ4122-22-22-2-200002000−2i2i−2i2i02-22-22-2-2−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000−2i2i−2i2i0−i2−i2i2i2−i2−i2i2i2−2−222−2−222000022-2-2−2i−2i2i2i0000−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000000000
χ4222-22-22-2-200002000−2i2i−2i2i02-22-22-2-2−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000−2i2i−2i2i0−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000-2-2222i2i−2i−2i000022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000
χ4322-22-22-2-200002000−2i2i−2i2i02-22-22-2-2i2i2−i2−i2i2i2−i2−i222−2−222−2−20000000−2i2i−2i2i0i2i2−i2−i2i2i2−i2−i222−2−222−2−2000022-2-2−2i−2i2i2i000022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000
χ4422-22-22-2-200002000−2i2i−2i2i02-22-22-2-2i2i2−i2−i2i2i2−i2−i222−2−222−2−20000000−2i2i−2i2i0i2i2−i2−i2i2i2−i2−i222−2−222−2−20000-2-2222i2i−2i−2i0000−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000000000
χ4522-2-2-2-22222-2-2222-22-2-22-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i22-2-222-22-2-22-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ4622-2-2-2-22222-2-2222-22-2-22-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i22-2-222-22-2-22-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ4722-2-2-2-22222-2-22-2-22-222-222-2-2-2-222000000000000000022-2-2-2-22-222-220000000000000000000000000000000022-2-2-2-222-2-22222-2-20000000000000000
χ4822-2-2-2-22222-2-22-2-22-222-222-2-2-2-222000000000000000022-2-2-2-22-222-2200000000000000000000000000000000-2-22222-2-222-2-2-2-2220000000000000000
χ4922-2-2-2-22222-2-2-122-22-2-22-2-11111-1-12i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-1-111-1-11-111-11−i−iiiii−i−iii−i−i−i−iii000000000000000000000000000000000000−i3i3−i3i33−33−30000
χ5022-2-2-2-22222-2-2-122-22-2-22-2-11111-1-12i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-1-111-1-11-111-11−i−iiiii−i−iii−i−i−i−iii000000000000000000000000000000000000i3−i3i3−i3−33−330000
χ5122-2-2-2-22222-2-2-122-22-2-22-2-11111-1-1−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-1-111-1-11-111-11ii−i−i−i−iii−i−iiiii−i−i000000000000000000000000000000000000−i3i3−i3i3−33−330000
χ5222-2-2-2-22222-2-2-122-22-2-22-2-11111-1-1−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-1-111-1-11-111-11ii−i−i−i−iii−i−iiiii−i−i000000000000000000000000000000000000i3−i3i3−i33−33−30000
χ5322-2-2-2-222-2-222222-2-222-2-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-2-22222-2-222-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ5422-2-2-2-222-2-222222-2-222-2-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-2-22222-2-222-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ5522-2-2-2-222-2-2222-2-222-2-2222-2-2-2-2220000000000000000-2-222-2-222-2-2220000000000000000000000000000000022-2-2-2-22222-2-2-2-2220000000000000000
χ5622-2-2-2-222-2-2222-2-222-2-2222-2-2-2-2220000000000000000-2-222-2-222-2-22200000000000000000000000000000000-2-22222-2-2-2-22222-2-20000000000000000
χ5722-2-2-2-222-2-222-122-2-222-2-2-11111-1-12i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i11-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i000000000000000000000000000000000000−i3i3i3−i33−3−330000
χ5822-2-2-2-222-2-222-122-2-222-2-2-11111-1-12i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i11-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i000000000000000000000000000000000000i3−i3−i3i3−333−30000
χ5922-2-2-2-222-2-222-122-2-222-2-2-11111-1-1−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i11-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii000000000000000000000000000000000000−i3i3i3−i3−333−30000
χ6022-2-2-2-222-2-222-122-2-222-2-2-11111-1-1−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i11-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii000000000000000000000000000000000000i3−i3−i3i33−3−330000
χ612-222-2-22-22-22-2200000000-222-2-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000002i−2i2i−2i2i−2i2i−2i2−22−22−22−22−22−22−22−20000000000000000
χ622-222-2-22-22-22-2200000000-222-2-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000−2i2i−2i2i−2i2i−2i2i−22−22−22−22−22−22−22−220000000000000000
χ632-222-2-22-22-22-2200000000-222-2-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-22-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000002i−2i2i−2i2i−2i2i−2i−22−22−22−22−22−22−22−220000000000000000
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χ872-2-2-2222-22-2-22200000000-2-2-2222-2−222−22−2−222−2−22−222−22-2-2200000000−222−22−2−222−2−22−222−22-2-222-2-2200000000−222−22−2−222−2−22−222−20000000000000000
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χ93444444444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-20000000000000000-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000
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χ1184-4-4-4444-44-4-44-200000000222-2-2-22−222222−2222−22−222222−22−2222−222222−22-222-2000000002−2−22−222−2−222−22−2−22000000000000000000000000000000000000000000000000
χ1194-4-4-4444-4-444-4-200000000222-2-2-2222−22−2222−222222−2222−22−2222−222222−222-2-2200000000−222−22−2−22−222−22−2−22000000000000000000000000000000000000000000000000
χ1204-4-4-4444-4-444-4-200000000222-2-2-22−222222−2222−22−2222−222222−2222−22−22222-2-22000000002−2−22−222−22−2−22−222−2000000000000000000000000000000000000000000000000

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