Finite Group Databasebeta

← Group #11812909

Character table — Group #11812909

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order1222222233444466666666666666366666661212121212121212222244121212121212121212121212121212121212121244444444446666121212121212121212121212246612121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-11111-1-1-1-1
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-1
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-111
χ131111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-111-1-1-1-1111111-1-1-1-1
χ141111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-1-1-11111
χ151111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1-11111-1-111-1-1-1-111
χ161111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111111111-11-1-111-1-111-1-11111-1-1
χ17222222222-1222222-1-1-12-1-122-122-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000002200-1-1-1-10000-1-1-1-1000022-1-1-1-1000000000000
χ18222222222-1222222-1-1-12-1-122-122-1-1-1-1-1-1-1-1-12222-1-1-1-12222-2-2-2-21111-2-2-1-1-1-1111111110000002200-1-1-1-10000-1-1-1-10000-2-21111000000000000
χ19222222222-1222222-1-1-12-1-122-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-22222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2001111000011110000-2-21111000000000000
χ20222222222-1222222-1-1-12-1-122-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-21111-2-2-1-1-1-111111111000000-2-200111100001111000022-1-1-1-1000000000000
χ21222222222-1-2-2-2-222-1-1-12-1-122-122-1-1-1-1-1-1-1-1-1-2-2-2-2111122222-222-1-111-2-21111-1-1-1-11111000000-2-200-1-1-1-1000011110000-2211-1-1000000000000
χ22222222222-1-2-2-2-222-1-1-12-1-122-122-1-1-1-1-1-1-1-1-1-2-2-2-211112222-22-2-211-1-12211111111-1-1-1-1000000-2-200-1-1-1-10000111100002-2-1-111000000000000
χ23222222222-1-2-2-2-222-1-1-12-1-122-122-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22-222-1-111-2-21111-1-1-1-11111000000220011110000-1-1-1-100002-2-1-111000000000000
χ24222222222-1-2-2-2-222-1-1-12-1-122-122-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-22-2-211-1-12211111111-1-1-1-1000000220011110000-1-1-1-10000-2211-1-1000000000000
χ2522222222-122222-1-1222-122-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222200220000-1-1-1-10000-1-1-1-1000000-1-1-1-100000000
χ2622222222-122222-1-1222-122-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200-2-20000111100001111000000111100000000
χ2722222222-122222-1-1222-122-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-122220000-2-211-2-2-2-211-1-1-1-1111111112222-2-200-2-20000-1-1-1-10000-1-1-1-1000000111100000000
χ2822222222-122222-1-1222-122-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-122220000-2-211-2-2-2-211-1-1-1-111111111-2-2-2-22200220000111100001111000000-1-1-1-100000000
χ2922222222-12-2-2-2-2-1-1222-122-1-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-200002-2-1-122-2-2111111-1-1-1-1111122-2-2-2-200220000-1-1-1-10000111100000011-1-100000000
χ3022222222-12-2-2-2-2-1-1222-122-1-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-200002-2-1-122-2-2111111-1-1-1-11111-2-2222200-2-2000011110000-1-1-1-1000000-1-11100000000
χ3122222222-12-2-2-2-2-1-1222-122-1-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-20000-2211-2-222-1-111111111-1-1-1-122-2-22200-2-20000-1-1-1-100001111000000-1-11100000000
χ3222222222-12-2-2-2-2-1-1222-122-1-12-1-12-1-1-1-1-1-1-1-11111-2-2-2-20000-2211-2-222-1-111111111-1-1-1-1-2-222-2-20022000011110000-1-1-1-100000011-1-100000000
χ3322-2-2-222-2222i2i−2i−2i2-222-2-22-22-2-22-2-2222-2-22-2-22i2i−2i−2i2i2i−2i−2i22-2-200000000002i2i−2i−2i000000000000002i−2i0022-2-200002i2i−2i−2i0000000000000000000000
χ3422-2-2-222-2222i2i−2i−2i2-222-2-22-22-2-22-2-2222-2-22-2-22i2i−2i−2i2i2i−2i−2i-2-22200000000002i2i−2i−2i00000000000000−2i2i00-2-2220000−2i−2i2i2i0000000000000000000000
χ3522-2-2-222-222−2i−2i2i2i2-222-2-22-22-2-22-2-2222-2-22-2-2−2i−2i2i2i−2i−2i2i2i22-2-20000000000−2i−2i2i2i00000000000000−2i2i0022-2-20000−2i−2i2i2i0000000000000000000000
χ3622-2-2-222-222−2i−2i2i2i2-222-2-22-22-2-22-2-2222-2-22-2-2−2i−2i2i2i−2i−2i2i2i-2-2220000000000−2i−2i2i2i000000000000002i−2i00-2-22200002i2i−2i−2i0000000000000000000000
χ3722-2-2-222-22-12i2i−2i−2i2-2-1-11-2-112-212-21-1-1-111-1112i2i−2i−2i−i−iii22-2-200003−3−i3i300−i−iii33−3−3−i3−i3i3i30000002i−2i00-1-1110000−i−iii000000−i3i33−3000000000000
χ3822-2-2-222-22-12i2i−2i−2i2-2-1-11-2-112-212-21-1-1-111-1112i2i−2i−2i−i−iii22-2-20000−33i3−i300−i−iii−3−333i3i3−i3−i30000002i−2i00-1-1110000−i−iii000000i3−i3−33000000000000
χ3922-2-2-222-22-12i2i−2i−2i2-2-1-11-2-112-212-21-1-1-111-1112i2i−2i−2i−i−iii-2-22200003−3−i3i300−i−iii33−3−3−i3−i3i3i3000000−2i2i0011-1-10000ii−i−i000000i3−i3−33000000000000
χ4022-2-2-222-22-12i2i−2i−2i2-2-1-11-2-112-212-21-1-1-111-1112i2i−2i−2i−i−iii-2-2220000−33i3−i300−i−iii−3−333i3i3−i3−i3000000−2i2i0011-1-10000ii−i−i000000−i3i33−3000000000000
χ4122-2-2-222-22-1−2i−2i2i2i2-2-1-11-2-112-212-21-1-1-111-111−2i−2i2i2iii−i−i22-2-200003−3i3−i300ii−i−i33−3−3i3i3−i3−i3000000−2i2i00-1-1110000ii−i−i000000i3−i33−3000000000000
χ4222-2-2-222-22-1−2i−2i2i2i2-2-1-11-2-112-212-21-1-1-111-111−2i−2i2i2iii−i−i22-2-20000−33−i3i300ii−i−i−3−333−i3−i3i3i3000000−2i2i00-1-1110000ii−i−i000000−i3i3−33000000000000
χ4322-2-2-222-22-1−2i−2i2i2i2-2-1-11-2-112-212-21-1-1-111-111−2i−2i2i2iii−i−i-2-22200003−3i3−i300ii−i−i33−3−3i3i3−i3−i30000002i−2i0011-1-10000−i−iii000000−i3i3−33000000000000
χ4422-2-2-222-22-1−2i−2i2i2i2-2-1-11-2-112-212-21-1-1-111-111−2i−2i2i2iii−i−i-2-2220000−33−i3i300ii−i−i−3−333−i3−i3i3i30000002i−2i0011-1-10000−i−iii000000i3−i33−3000000000000
χ452-222-22-2-2220000-22-2-2-2222-2-222-2-22-2-22-222-2000000002-22-200000000000000000000002i−2i000000002-22-22i2i−2i−2i00000000000000000000002i−2i00
χ462-222-22-2-2220000-22-2-2-2222-2-222-2-22-2-22-222-2000000002-22-20000000000000000000000−2i2i000000002-22-2−2i−2i2i2i0000000000000000000000−2i2i00
χ472-222-22-2-2220000-22-2-2-2222-2-222-2-22-2-22-222-200000000-22-2200000000000000000000002i−2i00000000-22-222i2i−2i−2i0000000000000000000000−2i2i00
χ482-222-22-2-2220000-22-2-2-2222-2-222-2-22-2-22-222-200000000-22-220000000000000000000000−2i2i00000000-22-22−2i−2i2i2i00000000000000000000002i−2i00
χ492-22-22-22-2222i−2i2i−2i-2-22-222-2222-2-2-2-222-2-22-22-22i−2i2i−2i2i−2i2i−2i000000000000002i−2i2i−2i00000000000000000000000000000000000000000000002-2002i−2i
χ502-22-22-22-2222i−2i2i−2i-2-22-222-2222-2-2-2-222-2-22-22-22i−2i2i−2i2i−2i2i−2i000000000000002i−2i2i−2i0000000000000000000000000000000000000000000000-2200−2i2i
χ512-22-22-22-222−2i2i−2i2i-2-22-222-2222-2-2-2-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000−2i2i−2i2i00000000000000000000000000000000000000000000002-200−2i2i
χ522-22-22-22-222−2i2i−2i2i-2-22-222-2222-2-2-2-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000−2i2i−2i2i0000000000000000000000000000000000000000000000-22002i−2i
χ532-2-22-2-222222-2-22-222-2-2-2-2-22-22-22222-22-2-2-222-2-222-2-22000000000000002-2-220000000000002-2002-200000000000000000000002-22-200000000
χ542-2-22-2-222222-2-22-222-2-2-2-2-22-22-22222-22-2-2-222-2-222-2-22000000000000002-2-22000000000000-2200-220000000000000000000000-22-2200000000
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χ562-2-22-2-22222-222-2-222-2-2-2-2-22-22-22222-22-2-2-22-222-2-222-200000000000000-222-2000000000000-22002-20000000000000000000000-222-200000000
χ572-2-22-2-222-122-2-221-12-2-21-2-2-1121-12-1-11-1111-1-111-12-2-220000003−300003−3-111-13−33−33−33−300002-2002-200003−33−3000033−3−3000000-11-1100000000
χ582-2-22-2-222-122-2-221-12-2-21-2-2-1121-12-1-11-1111-1-111-12-2-220000003−300003−3-111-13−33−33−33−30000-2200-220000−33−330000−3−3330000001-11-100000000
χ592-2-22-2-222-122-2-221-12-2-21-2-2-1121-12-1-11-1111-1-111-12-2-22000000−330000−33-111-1−33−33−33−3300002-2002-20000−33−330000−3−333000000-11-1100000000
χ602-2-22-2-222-122-2-221-12-2-21-2-2-1121-12-1-11-1111-1-111-12-2-22000000−330000−33-111-1−33−33−33−330000-2200-2200003−33−3000033−3−30000001-11-100000000
χ612-2-22-2-222-12-222-21-12-2-21-2-2-1121-12-1-11-1111-11-1-11-222-20000003−30000−331-1-113−33−3−33−3300002-200-220000−33−33000033−3−3000000-111-100000000
χ622-2-22-2-222-12-222-21-12-2-21-2-2-1121-12-1-11-1111-11-1-11-222-20000003−30000−331-1-113−33−3−33−330000-22002-200003−33−30000−3−3330000001-1-1100000000
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χ7044444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-20000-4-4222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ7144444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111112222222200004-4-2-2-2-22222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000000
χ7244444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111222222220000-442222-2-2-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000000
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χ8444-4-4-444-4-24−4i−4i4i4i-2244-424-4-22-4-22-4-2-2-222-2222i2i−2i−2i−4i−4i4i4i000000000000002i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ8544-4-4-444-4-2-24i4i−4i−4i-22-2-222-22-222-222111-1-11-1-1−2i−2i2i2i−2i−2i2i2i0000000023−23−2i32i300ii−i−i−3−333i3i3−i3−i300000000000000000000000000000000000000000000
χ8644-4-4-444-4-2-24i4i−4i−4i-22-2-222-22-222-222111-1-11-1-1−2i−2i2i2i−2i−2i2i2i00000000−23232i3−2i300ii−i−i33−3−3−i3−i3i3i300000000000000000000000000000000000000000000
χ8744-4-4-444-4-2-2−4i−4i4i4i-22-2-222-22-222-222111-1-11-1-12i2i−2i−2i2i2i−2i−2i0000000023−232i3−2i300−i−iii−3−333−i3−i3i3i300000000000000000000000000000000000000000000
χ8844-4-4-444-4-2-2−4i−4i4i4i-22-2-222-22-222-222111-1-11-1-12i2i−2i−2i2i2i−2i−2i00000000−2323−2i32i300−i−iii33−3−3i3i3−i3−i300000000000000000000000000000000000000000000
χ894-444-44-4-44-20000-442224-2-2-4-4-24-42-222-22-2-22000000004-44-400000000000000000000000000000000-22-22000000000000000000000000000000
χ904-444-44-4-44-20000-442224-2-2-4-4-24-42-222-22-2-2200000000-44-44000000000000000000000000000000002-22-2000000000000000000000000000000
χ914-444-44-4-4-2400002-2-4-4-4-244224-22-4-222-22-2-2200000000000000000000000000000000004i−4i000000000000−2i−2i2i2i00000000000000000000000000
χ924-444-44-4-4-2400002-2-4-4-4-244224-22-4-222-22-2-220000000000000000000000000000000000−4i4i0000000000002i2i−2i−2i00000000000000000000000000
χ934-44-44-44-44-24i−4i4i−4i-4-4-22-242-2442-4-42-2-222-22-224i−4i4i−4i−2i2i−2i2i00000000000000−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ944-44-44-44-44-2−4i4i−4i4i-4-4-22-242-2442-4-42-2-222-22-22−4i4i−4i4i2i−2i2i−2i000000000000002i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ954-44-44-44-4-244i−4i4i−4i224-44-2-44-2-2-422-4-2-222-22-22−2i2i−2i2i4i−4i4i−4i00000000000000−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ964-44-44-44-4-24−4i4i−4i4i224-44-2-44-2-2-422-4-2-222-22-222i−2i2i−2i−4i4i−4i4i000000000000002i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ974-44-44-44-4-2-24i−4i4i−4i22-22-2-22-2-2-2222211-1-11-11-1−2i2i−2i2i−2i2i−2i2i00000000000000i−ii−i3-3-33−3i3i3i−3i00000000000000000000000000000000000000000000
χ984-44-44-44-4-2-24i−4i4i−4i22-22-2-22-2-2-2222211-1-11-11-1−2i2i−2i2i−2i2i−2i2i00000000000000i−ii−i-333-33i−3i−3i3i00000000000000000000000000000000000000000000
χ994-44-44-44-4-2-2−4i4i−4i4i22-22-2-22-2-2-2222211-1-11-11-12i−2i2i−2i2i−2i2i−2i00000000000000−ii−ii3-3-333i−3i−3i3i00000000000000000000000000000000000000000000
χ1004-44-44-44-4-2-2−4i4i−4i4i22-22-2-22-2-2-2222211-1-11-11-12i−2i2i−2i2i−2i2i−2i00000000000000−ii−ii-333-3−3i3i3i−3i00000000000000000000000000000000000000000000
χ1014-4-44-4-4444-24-4-44-44-222-4224-4-2-44-2-2-22-2222-24-4-44-222-200000000000000-222-20000000000000000000000000000000000000000000000000000
χ1024-4-44-4-4444-2-444-4-44-222-4224-4-2-44-2-2-22-2222-2-444-42-2-22000000000000002-2-220000000000000000000000000000000000000000000000000000
χ1034-4-44-4-444-2-24-4-442-2-222222-22-22-2-211-11-1-1-11-222-2-222-200000023−23000023−231-1-11−33−33−33−3300000000000000000000000000000000000000000000
χ1044-4-44-4-444-2-24-4-442-2-222222-22-22-2-211-11-1-1-11-222-2-222-2000000−23230000−23231-1-113−33−33−33−300000000000000000000000000000000000000000000
χ1054-4-44-4-444-2-2-444-42-2-222222-22-22-2-211-11-1-1-112-2-222-2-2200000023−230000−2323-111-1−33−333−33−300000000000000000000000000000000000000000000
χ1064-4-44-4-444-2-2-444-42-2-222222-22-22-2-211-11-1-1-112-2-222-2-22000000−2323000023−23-111-13−33−3−33−3300000000000000000000000000000000000000000000
χ1074-4-4-444-444-20000-4-422-2-4-22-44244-2-2222-2-22-2000000004-4-4400000000000000000000000000000000-222-2000000000000000000000000000000
χ1084-4-4-444-444-20000-4-422-2-4-22-44244-2-2222-2-22-200000000-444-4000000000000000000000000000000002-2-22000000000000000000000000000000
χ1094-4-4-444-44-24000022-4-4424-42-2-4-2-24-2222-2-22-20000000000000000000000000000000000004-4000000000000000000-22-22000000000000000000
χ1104-4-4-444-44-24000022-4-4424-42-2-4-2-24-2222-2-22-2000000000000000000000000000000000000-440000000000000000002-22-2000000000000000000
χ111888-8-8-8-88-4-40000-444-44-44-44444-4-42-22-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-888-8-8-8-4-40000-4-44-4-44444-4-44442-2222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-88-8-8-4-400004-4444-4-4-444-4-4442-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-888-88-4-400004444-44-444-44-4-4-42-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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