Finite Group Databasebeta

← Group #11812907

Character table — Group #11812907

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order122222223344446666666666666636666666121212121212121222224412121212121212121212121212121212121212122244444444666666661212121212121212246612121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-111-1-11111-1-1-1-111
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111-1-111
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-111-1-111-1-1
χ131111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-1-1-111
χ141111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-1-11111-1-1
χ151111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-111-1-1
χ161111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-111-1-111
χ17222222222-12222222-1-1-122-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100002200000000-1-1-1-1-1-1-1-1000022-1-1-1-1000000000000
χ18222222222-12222222-1-1-122-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-211-2-211-1-1-1-11111111100002200000000-1-1-1-1-1-1-1-10000-2-21111000000000000
χ19222222222-12222222-1-1-122-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200000000111111110000-2-21111000000000000
χ20222222222-12222222-1-1-122-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-211-2-211-1-1-1-1111111110000-2-20000000011111111000022-1-1-1-1000000000000
χ21222222222-1-2-2-2-2222-1-1-122-1-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-222222-222-1-1-2-2111111-1-1-1-111110000-2-200000000-1-1-1-111110000-2211-1-1000000000000
χ22222222222-1-2-2-2-2222-1-1-122-1-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-22222-22-2-21122-1-111111111-1-1-1-10000-2-200000000-1-1-1-1111100002-2-1-111000000000000
χ23222222222-1-2-2-2-2222-1-1-122-1-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-22-222-1-1-2-2111111-1-1-1-11111000022000000001111-1-1-1-100002-2-1-111000000000000
χ24222222222-1-2-2-2-2222-1-1-122-1-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-22-2-21122-1-111111111-1-1-1-1000022000000001111-1-1-1-10000-2211-1-1000000000000
χ2522222222-122222-1-1-1222-1-122-122-1-1-1-1-1-1-1-1-12222-1-1-1-1000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222002222-1-1-1-100000000-1-1-1-1000000-1-1-1-100000000
χ2622222222-122222-1-1-1222-1-122-122-1-1-1-1-1-1-1-1-12222-1-1-1-1000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-21111000000001111000000111100000000
χ2722222222-122222-1-1-1222-1-122-122-1-1-1-1-1-1-1-1-12222-1-1-1-10000-2-211-2-211-2-2-1-1-1-11111111122-2-20022-2-2-1-1-1-100000000-1-1-1-1000000111100000000
χ2822222222-122222-1-1-1222-1-122-122-1-1-1-1-1-1-1-1-12222-1-1-1-10000-2-211-2-211-2-2-1-1-1-111111111-2-22200-2-2221111000000001111000000-1-1-1-100000000
χ2922222222-12-2-2-2-2-1-1-1222-1-122-122-1-1-1-1-1-1-1-1-1-2-2-2-2111100002-2-1-12211-2-21111-1-1-1-11111222200-2-2-2-2-1-1-1-1000000001111000000-1-11100000000
χ3022222222-12-2-2-2-2-1-1-1222-1-122-122-1-1-1-1-1-1-1-1-1-2-2-2-2111100002-2-1-12211-2-21111-1-1-1-11111-2-2-2-2002222111100000000-1-1-1-100000011-1-100000000
χ3122222222-12-2-2-2-2-1-1-1222-1-122-122-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2211-2-2-1-12211111111-1-1-1-122-2-200-2-222-1-1-1-100000000111100000011-1-100000000
χ3222222222-12-2-2-2-2-1-1-1222-1-122-122-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2211-2-2-1-12211111111-1-1-1-1-2-2220022-2-2111100000000-1-1-1-1000000-1-11100000000
χ3322-2-2-222-2222i2i−2i−2i2-2-222-22-22-22-2-2-2222-2-22-2-22i2i−2i−2i2i2i−2i−2i22-2-200000000002i2i−2i−2i0000000000002i−2i0000000022-2-22i2i−2i−2i0000000000000000000000
χ3422-2-2-222-2222i2i−2i−2i2-2-222-22-22-22-2-2-2222-2-22-2-22i2i−2i−2i2i2i−2i−2i-2-22200000000002i2i−2i−2i000000000000−2i2i00000000-2-222−2i−2i2i2i0000000000000000000000
χ3522-2-2-222-222−2i−2i2i2i2-2-222-22-22-22-2-2-2222-2-22-2-2−2i−2i2i2i−2i−2i2i2i22-2-20000000000−2i−2i2i2i000000000000−2i2i0000000022-2-2−2i−2i2i2i0000000000000000000000
χ3622-2-2-222-222−2i−2i2i2i2-2-222-22-22-22-2-2-2222-2-22-2-2−2i−2i2i2i−2i−2i2i2i-2-2220000000000−2i−2i2i2i0000000000002i−2i00000000-2-2222i2i−2i−2i0000000000000000000000
χ3722-2-2-222-22-12i2i−2i−2i2-2-2-1-112-2-11211-2-1-1-111-111−i−iii2i2i−2i−2i22-2-200003−300−i3i3−i−iii33−3−3−i3−i3i3i300002i−2i00000000-1-111−i−iii000000−i3i33−3000000000000
χ3822-2-2-222-22-12i2i−2i−2i2-2-2-1-112-2-11211-2-1-1-111-111−i−iii2i2i−2i−2i22-2-20000−3300i3−i3−i−iii−3−333i3i3−i3−i300002i−2i00000000-1-111−i−iii000000i3−i3−33000000000000
χ3922-2-2-222-22-12i2i−2i−2i2-2-2-1-112-2-11211-2-1-1-111-111−i−iii2i2i−2i−2i-2-22200003−300−i3i3−i−iii33−3−3−i3−i3i3i30000−2i2i0000000011-1-1ii−i−i000000i3−i3−33000000000000
χ4022-2-2-222-22-12i2i−2i−2i2-2-2-1-112-2-11211-2-1-1-111-111−i−iii2i2i−2i−2i-2-2220000−3300i3−i3−i−iii−3−333i3i3−i3−i30000−2i2i0000000011-1-1ii−i−i000000−i3i33−3000000000000
χ4122-2-2-222-22-1−2i−2i2i2i2-2-2-1-112-2-11211-2-1-1-111-111ii−i−i−2i−2i2i2i22-2-200003−300i3−i3ii−i−i33−3−3i3i3−i3−i30000−2i2i00000000-1-111ii−i−i000000i3−i33−3000000000000
χ4222-2-2-222-22-1−2i−2i2i2i2-2-2-1-112-2-11211-2-1-1-111-111ii−i−i−2i−2i2i2i22-2-20000−3300−i3i3ii−i−i−3−333−i3−i3i3i30000−2i2i00000000-1-111ii−i−i000000−i3i3−33000000000000
χ4322-2-2-222-22-1−2i−2i2i2i2-2-2-1-112-2-11211-2-1-1-111-111ii−i−i−2i−2i2i2i-2-22200003−300i3−i3ii−i−i33−3−3i3i3−i3−i300002i−2i0000000011-1-1−i−iii000000−i3i3−33000000000000
χ4422-2-2-222-22-1−2i−2i2i2i2-2-2-1-112-2-11211-2-1-1-111-111ii−i−i−2i−2i2i2i-2-2220000−3300−i3i3ii−i−i−3−333−i3−i3i3i300002i−2i0000000011-1-1−i−iii000000i3−i33−3000000000000
χ452-222-22-2-2220000-22-2-2-2-22222-22-2-22-2-22-222-2000000002-22-200000000000000000000000000002i−2i0000002-22-200002i2i−2i−2i00000000002i−2i000000
χ462-222-22-2-2220000-22-2-2-2-22222-22-2-22-2-22-222-2000000002-22-20000000000000000000000000000−2i2i0000002-22-20000−2i−2i2i2i0000000000−2i2i000000
χ472-222-22-2-2220000-22-2-2-2-22222-22-2-22-2-22-222-200000000-22-2200000000000000000000000000002i−2i000000-22-2200002i2i−2i−2i0000000000−2i2i000000
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χ492-22-22-22-2222i−2i2i−2i-2-222-22-22-222-2-2-222-2-22-22-22i−2i2i−2i2i−2i2i−2i000000000000002i−2i2i−2i00000000002-200002i−2i00000000000000000000002-22i−2i00000000
χ502-22-22-22-2222i−2i2i−2i-2-222-22-22-222-2-2-222-2-22-22-22i−2i2i−2i2i−2i2i−2i000000000000002i−2i2i−2i0000000000-220000−2i2i0000000000000000000000-22−2i2i00000000
χ512-22-22-22-222−2i2i−2i2i-2-222-22-22-222-2-2-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000−2i2i−2i2i00000000002-20000−2i2i00000000000000000000002-2−2i2i00000000
χ522-22-22-22-222−2i2i−2i2i-2-222-22-22-222-2-2-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000−2i2i−2i2i0000000000-2200002i−2i0000000000000000000000-222i−2i00000000
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χ8344-4-4-444-4-244i4i−4i−4i-22244-4-224-4-2-4-42-2-2-222-2224i4i−4i−4i−2i−2i2i2i00000000000000−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ8444-4-4-444-4-24−4i−4i4i4i-22244-4-224-4-2-4-42-2-2-222-222−4i−4i4i4i2i2i−2i−2i000000000000002i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ8544-4-4-444-4-2-24i4i−4i−4i-222-2-22-22-22-2222111-1-11-1-1−2i−2i2i2i−2i−2i2i2i0000000023−2300−2i32i3ii−i−i−3−333i3i3−i3−i300000000000000000000000000000000000000000000
χ8644-4-4-444-4-2-24i4i−4i−4i-222-2-22-22-22-2222111-1-11-1-1−2i−2i2i2i−2i−2i2i2i00000000−2323002i3−2i3ii−i−i33−3−3−i3−i3i3i300000000000000000000000000000000000000000000
χ8744-4-4-444-4-2-2−4i−4i4i4i-222-2-22-22-22-2222111-1-11-1-12i2i−2i−2i2i2i−2i−2i0000000023−23002i3−2i3−i−iii−3−333−i3−i3i3i300000000000000000000000000000000000000000000
χ8844-4-4-444-4-2-2−4i−4i4i4i-222-2-22-22-22-2222111-1-11-1-12i2i−2i−2i2i2i−2i−2i00000000−232300−2i32i3−i−iii33−3−3i3i3−i3−i300000000000000000000000000000000000000000000
χ894-444-44-4-44-20000-44-422244-2-2-4-22-4-222-22-2-22000000004-44-4000000000000000000000000000000000000-22-2200000000000000000000000000
χ904-444-44-4-44-20000-44-422244-2-2-4-22-4-222-22-2-2200000000-44-440000000000000000000000000000000000002-22-200000000000000000000000000
χ914-444-44-4-4-2400002-22-4-4-4-2-24424-42-222-22-2-2200000000000000000000000000000000000000004i−4i00000000000000−2i−2i2i2i000000000000000000
χ924-444-44-4-4-2400002-22-4-4-4-2-24424-42-222-22-2-220000000000000000000000000000000000000000−4i4i000000000000002i2i−2i−2i000000000000000000
χ934-44-44-44-44-24i−4i4i−4i-4-44-22-2-442-2422-4-2-222-22-22−2i2i−2i2i4i−4i4i−4i00000000000000−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ944-44-44-44-44-2−4i4i−4i4i-4-44-22-2-442-2422-4-2-222-22-222i−2i2i−2i−4i4i−4i4i000000000000002i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ954-44-44-44-4-2-24i−4i4i−4i22-2-22-22-22-2-222211-1-11-11-1−2i2i−2i2i−2i2i−2i2i000000−2i32i30023−2300i−ii−ii3−i3i3−i3−33−3300000000000000000000000000000000000000000000
χ964-44-44-44-4-2-24i−4i4i−4i22-2-22-22-22-2-222211-1-11-11-1−2i2i−2i2i−2i2i−2i2i0000002i3−2i300−232300i−ii−i−i3i3−i3i33−33−300000000000000000000000000000000000000000000
χ974-44-44-44-4-2-2−4i4i−4i4i22-2-22-22-22-2-222211-1-11-11-12i−2i2i−2i2i−2i2i−2i000000−2i32i300−232300−ii−iii3−i3i3−i33−33−300000000000000000000000000000000000000000000
χ984-44-44-44-4-2-2−4i4i−4i4i22-2-22-22-22-2-222211-1-11-11-12i−2i2i−2i2i−2i2i−2i0000002i3−2i30023−2300−ii−ii−i3i3−i3i3−33−3300000000000000000000000000000000000000000000
χ994-4-44-4-4444-24-4-44-44-4-222-4-4224-2-24-2-22-2222-2-222-24-4-4400000000000000-222-20000000000000000000000000000000000000000000000000000
χ1004-4-44-4-4444-2-444-4-44-4-222-4-4224-2-24-2-22-2222-22-2-22-444-4000000000000002-2-220000000000000000000000000000000000000000000000000000
χ1014-4-44-4-444-244-4-442-224-4-422-4-4-244-2-2-22-2222-24-4-44-222-200000000000000-222-20000000000000000000000000000000000000000000000000000
χ1024-4-44-4-444-24-444-42-224-4-422-4-4-244-2-2-22-2222-2-444-42-2-22000000000000002-2-220000000000000000000000000000000000000000000000000000
χ1034-4-44-4-444-2-24-4-442-22-2222222-2-2-2-211-11-1-1-11-222-2-222-2000000000000001-1-113i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1044-4-44-4-444-2-24-4-442-22-2222222-2-2-2-211-11-1-1-11-222-2-222-2000000000000001-1-11−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ1054-4-44-4-444-2-2-444-42-22-2222222-2-2-2-211-11-1-1-112-2-222-2-2200000000000000-111-13i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ1064-4-44-4-444-2-2-444-42-22-2222222-2-2-2-211-11-1-1-112-2-222-2-2200000000000000-111-1−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1074-4-4-444-444-20000-4-4422-24-4-22-42-24-2222-2-22-2000000004-4-44000000000000000000000000000000000000-222-200000000000000000000000000
χ1084-4-4-444-444-20000-4-4422-24-4-22-42-24-2222-2-22-200000000-444-40000000000000000000000000000000000002-2-2200000000000000000000000000
χ1094-4-4-444-44-24000022-2-4-44-224-42-44-2-2222-2-22-200000000000000000000000000000000004-400000000-22-22000000000000000000000000000000
χ1104-4-4-444-44-24000022-2-4-44-224-42-44-2-2222-2-22-20000000000000000000000000000000000-44000000002-22-2000000000000000000000000000000
χ111888-8-8-8-88-4-40000-4444-444-44-444-4-42-22-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-888-8-8-8-4-40000-4-4-44-4-444444-4442-2222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-88-8-8-4-400004-44444-4-4-4-44-4442-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-888-88-4-4000044-444-4-44-4444-4-42-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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