Finite Group Databasebeta

← Group #11795121

Character table — Group #11795121

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212888888882424242424242424242424242424242444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ92222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000000022-2-200
χ102222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000000000000000000000000000000000-2-22200
χ11222222222-122222222-1-1-1-12-12-12-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ12222222222-122222222-1-1-1-12-12-12-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ13222222222-122222222-1-1-1-12-12-12-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ14222222222-122222222-1-1-1-12-12-12-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-1111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ1522222222-122222-1-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ1622222222-122222-1-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ1722222222-122222-1-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ1822222222-122222-1-1-1-12222-12-12-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ192222-2-2-2-2222-22-222-2-222-2-222-2-2-2-2222-2-2-22-222-22-2-2-22000000000022-2-200000000000022-2-2000000002222-2-2-2-2000000000000000000
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χ272222-2-2-2-2-12-22-22-1-11122-2-2-121-21-2-1-1-1111-1111-1-222-1-20033−3−3000011-1-133−3−333−3−322-2-20000-1-1-1-1111100000000000033−3−30000000000
χ282222-2-2-2-2-12-22-22-1-11122-2-2-121-21-2-1-1-1111-1111-1-222-1-20033−3−3000011-1-133−3−333−3−3-2-22200001111-1-1-1-1000000000000−3−3330000000000
χ292222-2-2-2-2-12-22-22-1-11122-2-2-121-21-2-1-1-1111-1111-1-222-1-200−3−333000011-1-1−3−333−3−33322-2-20000-1-1-1-11111000000000000−3−3330000000000
χ302222-2-2-2-2-12-22-22-1-11122-2-2-121-21-2-1-1-1111-1111-1-222-1-200−3−333000011-1-1−3−333−3−333-2-22200001111-1-1-1-100000000000033−3−30000000000
χ3122-2-22-22-22200002-22-22-22-2-2-2-2-22222-222-2-2-2000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000002-20000
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χ914-44-4-444-4-2400002-222-44-4-42-4-24-24-22-22-222-200000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000
χ924-44-4-444-4-2400002-222-44-4-42-4-24-24-22-22-222-200000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000
χ934-4-4444-4-44-2-444-4-4-44-422-224-24-2-42-222-222-2-2-44422-2-4-200000000002-22-200000000000000000000000000000000000000000000000000
χ944-4-4444-4-4-244-4-4422-22-4-44-4-24-242-4-222-222-2-2-22244-4-2-40000000000-22-2200000000000000000000000000000000000000000000000000
χ954-4-4444-4-4-2-24-4-4422-2222-22-2-2-2-2221-1-11-1-111-222-2-22-22000000−2i32i3−2i32i31-11-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ964-4-4444-4-4-2-24-4-4422-2222-22-2-2-2-2221-1-11-1-111-222-2-22-220000002i3−2i32i3−2i31-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-2-444-422-2222-22-2-2-2-2221-1-11-1-1112-2-222-22-200−2i32i3−2i32i30000-11-11i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000000000
χ984-4-4444-4-4-2-2-444-422-2222-22-2-2-2-2221-1-11-1-1112-2-222-22-2002i3−2i32i3−2i30000-11-11−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000000000
χ994-4-44-4-4444-2-4-444-4-4-44222-24-2-424-2-2222-2-2-22-44-42-224-200000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-44-4-444-24-4-444222-2-4-4-44-242-4-24-2222-2-2-222-22-44-4-2400000000002-2-2200000000000000000000000000000000000000000000000000
χ1014-4-44-4-444-2-244-4-4222-2222-2-2-222-2-21-1-1-1111-1-22-2-22-2224i−4i−2i2i2i−2i−2i2i2i−2i1-1-11i−ii−i−ii−ii000000000000000000000000000000000000000000
χ1024-4-44-4-444-2-244-4-4222-2222-2-2-222-2-21-1-1-1111-1-22-2-22-222−4i4i2i−2i−2i2i2i−2i−2i2i1-1-11−ii−iii−ii−i000000000000000000000000000000000000000000
χ1034-4-44-4-444-2-2-4-444222-2222-2-2-222-2-21-1-1-1111-12-222-22-2-20000000000-111-13i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000000000
χ1044-4-44-4-444-2-2-4-444222-2222-2-2-222-2-21-1-1-1111-12-222-22-2-20000000000-111-1−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000000000
χ10588-8-88-88-8-4-40000-44-44-44-444444-4-422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-40000-444-4-444-444-4-44422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-8-88-4-400004-4-4-44-4-4-44444442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-888-8-4-400004-4444-44444-4-4-4-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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