Finite Group Databasebeta

← Group #11812860

Character table — Group #11812860

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order1222222233444466666666666666344446666666121212121212121212121212121212121212121212121212121212122244444466661212121212121212121212122222244466121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11111
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-111-1-1-1-1
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-1
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111-1-1-1-11111
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-11111-111-1-1-11111-1-1-1-1-1-111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-1111111-1-1
χ17222222222-1222222-1-1-1-12-1222-1-12-12222-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122000022-1-1-1-10000-1-1-1-1000000002200-1-1-1-10000000000
χ18222222222-1222222-1-1-1-12-1222-1-12-12222-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-211110000111100000000-2-20011110000000000
χ19222222222-1222222-1-1-1-12-1222-1-12-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-211-2-2111111-1-1-1-1111122000022-1-1-1-10000-1-1-1-100000000-2-20011110000000000
χ20222222222-1222222-1-1-1-12-1222-1-12-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-211-2-2111111-1-1-1-11111-2-20000-2-2111100001111000000002200-1-1-1-10000000000
χ21222222222-1-2-2-2-222-1-1-1-12-1222-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-2111122-1-1-2-211-1-1-1-111111111220000-2-2-1-1-1-10000111100000000-220011-1-10000000000
χ22222222222-1-2-2-2-222-1-1-1-12-1222-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-2111122-1-1-2-211-1-1-1-111111111-2-200002211110000-1-1-1-1000000002-200-1-1110000000000
χ23222222222-1-2-2-2-222-1-1-1-12-1222-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-21122-1-111111111-1-1-1-1220000-2-2-1-1-1-100001111000000002-200-1-1110000000000
χ24222222222-1-2-2-2-222-1-1-1-12-1222-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-21122-1-111111111-1-1-1-1-2-200002211110000-1-1-1-100000000-220011-1-10000000000
χ2522222222-122222-1-12222-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1002222000000-1-1-1-10000-1-1-1-1000000220000-1-1-1-1000000
χ2622222222-122222-1-12222-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2000000111100001111000000-2-200001111000000
χ2722222222-122222-1-12222-12-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1222211-2-211-2-21111-1-1-1-11111002222000000-1-1-1-10000-1-1-1-1000000-2-200001111000000
χ2822222222-122222-1-12222-12-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1222211-2-211-2-21111-1-1-1-1111100-2-2-2-2000000111100001111000000220000-1-1-1-1000000
χ2922222222-12-2-2-2-2-1-12222-12-1-1-122-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-12211-2-2-1-1-1-1111111110022-2-2000000-1-1-1-100001111000000-22000011-1-1000000
χ3022222222-12-2-2-2-2-1-12222-12-1-1-122-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-12211-2-2-1-1-1-11111111100-2-22200000011110000-1-1-1-10000002-20000-1-111000000
χ3122222222-12-2-2-2-2-1-12222-12-1-1-122-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-211-2-2-1-12211111111-1-1-1-10022-2-2000000-1-1-1-1000011110000002-20000-1-111000000
χ3222222222-12-2-2-2-2-1-12222-12-1-1-122-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-211-2-2-1-12211111111-1-1-1-100-2-22200000011110000-1-1-1-1000000-22000011-1-1000000
χ3322-2-2-222-2222i2i−2i−2i2-222-2-222-2-2-2-2-222000022-2-2-22-22i2i−2i−2i2i2i−2i−2i0000000000002i2i−2i−2i000000000000000000000000000022-2-2000000000000002i−2i00
χ3422-2-2-222-2222i2i−2i−2i2-222-2-222-2-2-2-2-222000022-2-2-22-22i2i−2i−2i2i2i−2i−2i0000000000002i2i−2i−2i0000000000000000000000000000-2-22200000000000000−2i2i00
χ3522-2-2-222-222−2i−2i2i2i2-222-2-222-2-2-2-2-222000022-2-2-22-2−2i−2i2i2i−2i−2i2i2i000000000000−2i−2i2i2i000000000000000000000000000022-2-200000000000000−2i2i00
χ3622-2-2-222-222−2i−2i2i2i2-222-2-222-2-2-2-2-222000022-2-2-22-2−2i−2i2i2i−2i−2i2i2i000000000000−2i−2i2i2i0000000000000000000000000000-2-222000000000000002i−2i00
χ372-222-22-2-2220000-222-22-2-2-2-22-22-22200002-222-2-2-20000000000000000000000000000002i−2i002i−2i00002i2i−2i−2i2i2i−2i−2i00002-22-2000000000000000000
χ382-222-22-2-2220000-222-22-2-2-2-22-22-22200002-222-2-2-20000000000000000000000000000002i−2i00−2i2i00002i2i−2i−2i−2i−2i2i2i0000-22-22000000000000000000
χ392-222-22-2-2220000-222-22-2-2-2-22-22-22200002-222-2-2-2000000000000000000000000000000−2i2i002i−2i0000−2i−2i2i2i2i2i−2i−2i0000-22-22000000000000000000
χ402-222-22-2-2220000-222-22-2-2-2-22-22-22200002-222-2-2-2000000000000000000000000000000−2i2i00−2i2i0000−2i−2i2i2i−2i−2i2i2i00002-22-2000000000000000000
χ412-22-22-22-2222i−2i2i−2i-2-2-2-22222-222-2-2-220000-2-22-222-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i2i−2i000000000000000000000000000000000000000000002-2002i−2i
χ422-22-22-22-2222i−2i2i−2i-2-2-2-22222-222-2-2-220000-2-22-222-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i2i−2i00000000000000000000000000000000000000000000-2200−2i2i
χ432-22-22-22-222−2i2i−2i2i-2-2-2-22222-222-2-2-220000-2-22-222-2−2i2i−2i2i−2i2i−2i2i000000000000−2i2i−2i2i000000000000000000000000000000000000000000002-200−2i2i
χ442-22-22-22-222−2i2i−2i2i-2-2-2-22222-222-2-2-220000-2-22-222-2−2i2i−2i2i−2i2i−2i2i000000000000−2i2i−2i2i00000000000000000000000000000000000000000000-22002i−2i
χ452-2-22-2-222222-2-22-22-2-2-2-2222-2-222-222-22-2-2-2-22-2222-2-222-2-222-22-22-22-222-2-22-2-2222-2-20000000000000000000000000000000000000000000000
χ462-2-22-2-222222-2-22-22-2-2-2-2222-2-222-22-22-22-2-2-22-2222-2-222-2-22-22-22-22-22-2-2222-2-22-2-2220000000000000000000000000000000000000000000000
χ472-2-22-2-22222-222-2-22-2-2-2-2222-2-222-222-2-22-2-2-22-222-222-2-222-22-22-2-22-2222-2-2-222-2-2-2220000000000000000000000000000000000000000000000
χ482-2-22-2-22222-222-2-22-2-2-2-2222-2-222-22-222-2-2-2-22-222-222-2-222-2-22-222-22-2-2-222-222-222-2-20000000000000000000000000000000000000000000000
χ492-2-22-2-2222-12-2-22-2211112-12-2-2-1-1-2-12-22-2111-11-1-12-2-22-111-12-2-112-2-11-1-111-111-1-1-11100000000−i3−i3i3i30000−i3i3−i3i3000000000000−i3i3−i3i30000000000
χ502-2-22-2-2222-12-2-22-2211112-12-2-2-1-1-2-12-22-2111-11-1-12-2-22-111-12-2-112-2-11-1-111-111-1-1-11100000000i3i3−i3−i30000i3−i3i3−i3000000000000i3−i3i3−i30000000000
χ512-2-22-2-2222-12-2-22-2211112-12-2-2-1-1-2-1-22-22111-11-1-12-2-22-111-1-221-1-221-111-1-1-111-111-1-100000000−i3−i3i3i30000−i3i3−i3i3000000000000i3−i3i3−i30000000000
χ522-2-22-2-2222-12-2-22-2211112-12-2-2-1-1-2-1-22-22111-11-1-12-2-22-111-1-221-1-221-111-1-1-111-111-1-100000000i3i3−i3−i30000i3−i3i3−i3000000000000−i3i3−i3i30000000000
χ532-2-22-2-2222-1-222-2-2211112-12-2-2-1-1-2-12-2-22111-11-1-1-222-21-1-112-2-11-221-1-1-1111-1-1111-1-100000000−i3−i3i3i30000i3−i3i3−i3000000000000i3−i3−i3i30000000000
χ542-2-22-2-2222-1-222-2-2211112-12-2-2-1-1-2-12-2-22111-11-1-1-222-21-1-112-2-11-221-1-1-1111-1-1111-1-100000000i3i3−i3−i30000−i3i3−i3i3000000000000−i3i3i3−i30000000000
χ552-2-22-2-2222-1-222-2-2211112-12-2-2-1-1-2-1-222-2111-11-1-1-222-21-1-11-221-12-2-1111-1-11-1-11-1-11100000000−i3−i3i3i30000i3−i3i3−i3000000000000−i3i3i3−i30000000000
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χ572-2-22-2-222-122-2-221-1-2-2-2-2-12-111221-12-22-2111-11-1-1-111-12-2-22-112-2-112-2-1-111-111-1-1-1110000000000003−33−3000033−3−30000000000003−33−3000000
χ582-2-22-2-222-122-2-221-1-2-2-2-2-12-111221-12-22-2111-11-1-1-111-12-2-22-112-2-112-2-1-111-111-1-1-111000000000000−33−330000−3−333000000000000−33−33000000
χ592-2-22-2-222-122-2-221-1-2-2-2-2-12-111221-1-22-22111-11-1-1-111-12-2-221-1-221-1-2211-1-1-111-111-1-10000000000003−33−3000033−3−3000000000000−33−33000000
χ602-2-22-2-222-122-2-221-1-2-2-2-2-12-111221-1-22-22111-11-1-1-111-12-2-221-1-221-1-2211-1-1-111-111-1-1000000000000−33−330000−3−3330000000000003−33−3000000
χ612-2-22-2-222-12-222-21-1-2-2-2-2-12-111221-12-2-22111-11-1-11-1-11-222-2-112-21-1-22-1-1111-1-1111-1-10000000000003−33−30000−3−333000000000000−333−3000000
χ622-2-22-2-222-12-222-21-1-2-2-2-2-12-111221-12-2-22111-11-1-11-1-11-222-2-112-21-1-22-1-1111-1-1111-1-1000000000000−33−33000033−3−30000000000003−3−33000000
χ632-2-22-2-222-12-222-21-1-2-2-2-2-12-111221-1-222-2111-11-1-11-1-11-222-21-1-22-112-211-1-11-1-11-1-1110000000000003−33−30000−3−3330000000000003−3−33000000
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χ7144444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4111111122222222-2-2-2-222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
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χ8544-4-4-444-4-244i4i−4i−4i-2244-4-4-24222-4-4-2-20000-2-2222-22−2i−2i2i2i4i4i−4i−4i000000000000−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ8644-4-4-444-4-24−4i−4i4i4i-2244-4-4-24222-4-4-2-20000-2-2222-222i2i−2i−2i−4i−4i4i4i0000000000002i2i−2i−2i00000000000000000000000000000000000000000000000000
χ8744-4-4-444-4-2-24i4i−4i−4i-22-2-222-2-222222-21000011-1-1-11-1−2i−2i2i2i−2i−2i2i2i000000003-33-3ii−i−i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ8844-4-4-444-4-2-24i4i−4i−4i-22-2-222-2-222222-21000011-1-1-11-1−2i−2i2i2i−2i−2i2i2i00000000-33-33ii−i−i−3i3i−3i3i0000000000000000000000000000000000000000000000
χ8944-4-4-444-4-2-2−4i−4i4i4i-22-2-222-2-222222-21000011-1-1-11-12i2i−2i−2i2i2i−2i−2i000000003-33-3−i−iii−3i3i−3i3i0000000000000000000000000000000000000000000000
χ9044-4-4-444-4-2-2−4i−4i4i4i-22-2-222-2-222222-21000011-1-1-11-12i2i−2i−2i2i2i−2i−2i00000000-33-33−i−iii3i−3i3i−3i0000000000000000000000000000000000000000000000
χ914-444-44-4-44-20000-44-22-22-42-44-4-224-20000-22-2-222200000000000000000000000000000000004i−4i00000000−2i−2i2i2i00000000000000000000000000
χ924-444-44-4-44-20000-44-22-22-42-44-4-224-20000-22-2-22220000000000000000000000000000000000−4i4i000000002i2i−2i−2i00000000000000000000000000
χ934-444-44-4-4-2400002-24-44-42-42-224-4-2-20000-22-2-22220000000000000000000000000000004i−4i00000000−2i−2i2i2i000000000000000000000000000000
χ944-444-44-4-4-2400002-24-44-42-42-224-4-2-20000-22-2-2222000000000000000000000000000000−4i4i000000002i2i−2i−2i000000000000000000000000000000
χ954-44-44-44-44-24i−4i4i−4i-4-422-2-24-2-44422-4-2000022-22-2-224i−4i4i−4i−2i2i−2i2i000000000000−2i2i−2i2i00000000000000000000000000000000000000000000000000
χ964-44-44-44-44-2−4i4i−4i4i-4-422-2-24-2-44422-4-2000022-22-2-22−4i4i−4i4i2i−2i2i−2i0000000000002i−2i2i−2i00000000000000000000000000000000000000000000000000
χ974-44-44-44-4-244i−4i4i−4i22-4-444-242-2-2-4-42-2000022-22-2-22−2i2i−2i2i4i−4i4i−4i000000000000−2i2i−2i2i00000000000000000000000000000000000000000000000000
χ984-44-44-44-4-24−4i4i−4i4i22-4-444-242-2-2-4-42-2000022-22-2-222i−2i2i−2i−4i4i−4i4i0000000000002i−2i2i−2i00000000000000000000000000000000000000000000000000
χ994-44-44-44-4-2-24i−4i4i−4i2222-2-2-2-22-2-222210000-1-11-111-1−2i2i−2i2i−2i2i−2i2i000000003-3-33i−ii−i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1004-44-44-44-4-2-24i−4i4i−4i2222-2-2-2-22-2-222210000-1-11-111-1−2i2i−2i2i−2i2i−2i2i00000000-333-3i−ii−i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1014-44-44-44-4-2-2−4i4i−4i4i2222-2-2-2-22-2-222210000-1-11-111-12i−2i2i−2i2i−2i2i−2i000000003-3-33−ii−ii−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1024-44-44-44-4-2-2−4i4i−4i4i2222-2-2-2-22-2-222210000-1-11-111-12i−2i2i−2i2i−2i2i−2i00000000-333-3−ii−ii3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1034-4-44-4-444-2-24-4-442-22222-2-2-222-2-2214-44-4-1-1-11-111-222-2-222-2-22-22-22-2211-1-11-1-1111-1-10000000000000000000000000000000000000000000000
χ1044-4-44-4-444-2-24-4-442-22222-2-2-222-2-221-44-44-1-1-11-111-222-2-222-22-22-22-22-2-1-1111-1-11-1-1110000000000000000000000000000000000000000000000
χ1054-4-44-4-444-2-2-444-42-22222-2-2-222-2-2214-4-44-1-1-11-1112-2-222-2-22-22-222-22-211-1-1-111-1-1-1110000000000000000000000000000000000000000000000
χ1064-4-44-4-444-2-2-444-42-22222-2-2-222-2-221-444-4-1-1-11-1112-2-222-2-222-22-2-22-22-1-111-111-111-1-10000000000000000000000000000000000000000000000
χ1074-4-4-444-444-20000-4-4-222-2-424-442-24-20000-2222-22-200000000000000000000000000004-4000000-22-220000000000000000000000000000000000
χ1084-4-4-444-444-20000-4-4-222-2-424-442-24-20000-2222-22-20000000000000000000000000000-440000002-22-20000000000000000000000000000000000
χ1094-4-4-444-44-240000224-4-442-4-22-2-44-2-20000-2222-22-2000000000000000000000000000000004-400000000000000-22-220000000000000000000000
χ1104-4-4-444-44-240000224-4-442-4-22-2-44-2-20000-2222-22-200000000000000000000000000000000-44000000000000002-22-20000000000000000000000
χ111888-8-8-8-88-4-40000-444-4-4444-4-444-4420000-222-2-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-888-8-8-8-4-40000-4-44-44-44444-4-44420000-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-88-8-8-4-400004-4-44-44444-44-44-4200002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-888-88-4-4000044-444-444-44-44-4-4200002-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000

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