Finite Group Databasebeta

← Group #11789058

Character table — Group #11789058

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order1222222233444466666666666666344446666666121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ911-111-1-1-1111-11-111-1-1-1-1-1-1-1111-11111-1-11-1-1-1-111111-1-1-11-111-1-111-1-111-1-11111-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−iii−i−i11-1-1i−iii−i−i
χ1011-111-1-1-1111-11-111-1-1-1-1-1-1-1111-11111-1-11-1-1-1-111111-1-1-11-111-1-111-1-111-1-11111-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii−i−iii11-1-1−ii−i−iii
χ1111-111-1-1-1111-11-111-1-1-1-1-1-1-1111-11111-1-11-1-1-1-111111-1-1-11-111-1-111-1-111-1-11111-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii-11i−iii−i−i-1-111−ii−i−iii
χ1211-111-1-1-1111-11-111-1-1-1-1-1-1-1111-11111-1-11-1-1-1-111111-1-1-11-111-1-111-1-111-1-11111-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i-11−ii−i−iii-1-111i−iii−i−i
χ1311-111-1-1-1111-11-111-1-1-1-1-1-1-1111-111-1-1111-1-1-1-111111-1-1-11-1-1-111-1-11111-1-1-1-1-1-1111111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i-11−ii−i−iii-1-111i−i−i−iii
χ1411-111-1-1-1111-11-111-1-1-1-1-1-1-1111-111-1-1111-1-1-1-111111-1-1-11-1-1-111-1-11111-1-1-1-1-1-1111111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii-11i−iii−i−i-1-111−iiii−i−i
χ1511-111-1-1-1111-11-111-1-1-1-1-1-1-1111-111-1-1111-1-1-1-111111-1-1-11-1-1-111-1-11111-1-1-1-1-1-11111-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii1-1−ii−i−iii11-1-1−iiii−i−i
χ1611-111-1-1-1111-11-111-1-1-1-1-1-1-1111-111-1-1111-1-1-1-111111-1-1-11-1-1-111-1-11111-1-1-1-1-1-11111-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i1-1i−iii−i−i11-1-1i−i−i−iii
χ172222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-2000000000000000000000000000000002222000000000000-2-20000
χ182222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000-2-2-2-2000000000000220000
χ19222222222-122222-12222-1-1-12-1-1-12-12222-1-1-1-1-1-1-12-1-122-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000022-1-1-1-10000000000
χ20222222222-122222-12222-1-1-12-1-1-12-12222-1-1-1-1-1-1-12-1-122-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-211110000000000
χ21222222222-122222-12222-1-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-12-1-122-12-11111-2-2-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1000000-2-211110000000000
χ22222222222-122222-12222-1-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-12-1-122-12-11111-2-2-2-2-1-1-1-1111111110000-2-2-2-2000000001111111100000022-1-1-1-10000000000
χ2322222222-122222-12-1-1-1-1222-1222-1-12222-1-1-1-1-1-1-1-122-1-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000022000000-1-1-1-1000000
χ2422222222-122222-12-1-1-1-1222-1222-1-12222-1-1-1-1-1-1-1-122-1-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20000001111000000
χ2522222222-122222-12-1-1-1-1222-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-122-1-12-12-2-2-2-21111-1-1-1-11111111122220000-1-1-1-1-1-1-1-1000000000000-2-20000001111000000
χ2622222222-122222-12-1-1-1-1222-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-122-1-12-12-2-2-2-21111-1-1-1-111111111-2-2-2-200001111111100000000000022000000-1-1-1-1000000
χ2722-222-2-2-222-22-2222-2-2-2-2-2-2-2222-22200002-2-2-2-222-2-2-2222-2200000000-2-222000000000000000000000000000000002i2i−2i−2i000000000000−2i2i0000
χ2822-222-2-2-222-22-2222-2-2-2-2-2-2-2222-22200002-2-2-2-222-2-2-2222-2200000000-2-22200000000000000000000000000000000−2i−2i2i2i0000000000002i−2i0000
χ2922-222-2-2-22-12-22-22-1-2-2-2-21112-1-112-122-2-2-11111-1-12-1-1-2-2121-1-11122-2-2-1-111-1-1-1-1111100002i2i−2i−2i00000000−i−i−i−iiiii0000002i−2i−i−iii0000000000
χ3022-222-2-2-22-12-22-22-1-2-2-2-21112-1-112-122-2-2-11111-1-12-1-1-2-2121-1-11122-2-2-1-111-1-1-1-111110000−2i−2i2i2i00000000iiii−i−i−i−i000000−2i2iii−i−i0000000000
χ3122-222-2-2-22-12-22-22-1-2-2-2-21112-1-112-1-2-222-11111-1-12-1-1-2-212111-1-1-2-222-1-1111111-1-1-1-100002i2i−2i−2i00000000−i−i−i−iiiii000000−2i2iii−i−i0000000000
χ3222-222-2-2-22-12-22-22-1-2-2-2-21112-1-112-1-2-222-11111-1-12-1-1-2-212111-1-1-2-222-1-1111111-1-1-1-10000−2i−2i2i2i00000000iiii−i−i−i−i0000002i−2i−i−iii0000000000
χ3322-222-2-2-2-122-22-2-121111-2-2-2-122-2-1-122-2-2-11111-1-1-12211-2-1-222-2-2-1-111-1-111-1-1-1-1111122-2-20000-1-1-1-111110000000000002-2000000-1-111000000
χ3422-222-2-2-2-122-22-2-121111-2-2-2-122-2-1-122-2-2-11111-1-1-12211-2-1-222-2-2-1-111-1-111-1-1-1-11111-2-22200001111-1-1-1-1000000000000-2200000011-1-1000000
χ3522-222-2-2-2-122-22-2-121111-2-2-2-122-2-1-1-2-222-11111-1-1-12211-2-1-2-2-22211-1-1-1-1111111-1-1-1-122-2-20000-1-1-1-11111000000000000-2200000011-1-1000000
χ3622-222-2-2-2-122-22-2-121111-2-2-2-122-2-1-1-2-222-11111-1-1-12211-2-1-2-2-22211-1-1-1-1111111-1-1-1-1-2-22200001111-1-1-1-10000000000002-2000000-1-111000000
χ372-222-2-2-222222-2-2-2-222-2-222-222-2-2-220000-222-2-22-222-22-22-2-2000000002-22-2000000000000000000000000000000000000000000000000002-22-2
χ382-222-2-2-222222-2-2-2-222-2-222-222-2-2-220000-222-2-22-222-22-22-2-2000000002-22-200000000000000000000000000000000000000000000000000-22-22
χ392-222-2-2-2222-2-222-2-222-2-222-222-2-2-222i−2i2i−2i-222-2-22-2-2-22-22-2222i−2i2i−2i2i−2i2i−2i-22-222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ402-222-2-2-2222-2-222-2-222-2-222-222-2-2-22−2i2i−2i2i-222-2-22-2-2-22-22-222−2i2i−2i2i−2i2i−2i2i-22-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ412-222-2-2-222-1-2-222-2122-2-2-1-112-111-2-12i−2i2i−2i1-1-111-11-21-1-2212-1−ii−ii2i−2i2i−2i1-11-1−i−iii−i−iii0000000000000000−i3−i3i3i3−i3−i3i3i3000000003−33−30000000000
χ422-222-2-2-222-1-2-222-2122-2-2-1-112-111-2-12i−2i2i−2i1-1-111-11-21-1-2212-1−ii−ii2i−2i2i−2i1-11-1−i−iii−i−iii0000000000000000i3i3−i3−i3i3i3−i3−i300000000−33−330000000000
χ432-222-2-2-222-1-2-222-2122-2-2-1-112-111-2-1−2i2i−2i2i1-1-111-11-21-1-2212-1i−ii−i−2i2i−2i2i1-11-1ii−i−iii−i−i0000000000000000−i3−i3i3i3−i3−i3i3i300000000−33−330000000000
χ442-222-2-2-222-1-2-222-2122-2-2-1-112-111-2-1−2i2i−2i2i1-1-111-11-21-1-2212-1i−ii−i−2i2i−2i2i1-11-1ii−i−iii−i−i0000000000000000i3i3−i3−i3i3i3−i3−i3000000003−33−30000000000
χ452-222-2-2-22-12-2-2221-2-1-11122-2-12-2-21-12i−2i2i−2i1-1-111-111-221-1-2-122i−2i2i−2i−ii−ii1-11-1−i−iii−i−iii00000000−i3−i3i3i3−i3−i3i3i3000000000000000000003−33−3000000
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χ472-222-2-2-22-12-2-2221-2-1-11122-2-12-2-21-1−2i2i−2i2i1-1-111-111-221-1-2-12−2i2i−2i2ii−ii−i1-11-1ii−i−iii−i−i00000000−i3−i3i3i3−i3−i3i3i300000000000000000000−33−33000000
χ482-222-2-2-22-12-2-2221-2-1-11122-2-12-2-21-1−2i2i−2i2i1-1-111-111-221-1-2-12−2i2i−2i2ii−ii−i1-11-1ii−i−iii−i−i00000000i3i3−i3−i3i3i3−i3−i3000000000000000000003−33−3000000
χ492-22-222-2-2220000-2-22-22-22-22-2-22-2220000-22-22-2-2200000000000000000000000000002−22−2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i22i−2i2i−2i000000000000000000
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χ562-2-22-222-222-222-2-2-2-2-222-2-2222-22-22−2i2i2i−2i-2-2-2222-2-2-222-222-2−2i2i2i−2i−2i2i2i−2i-222-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000
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χ8244-444-4-4-4-2-24-44-4-2-22222222-2-2-22-2144-4-41-1-1-1-111-2-2-2222-22-2-222-2-22211-1-11111-1-1-1-10000000000000000000000000000000000000000000000
χ8344-444-4-4-4-2-24-44-4-2-22222222-2-2-22-21-4-4441-1-1-1-111-2-2-2222-2222-2-222-2-211-1-1-1-1-1-111110000000000000000000000000000000000000000000000
χ8444-444-4-4-4-2-2-44-44-2-22222222-2-2-22-2100001-1-1-1-111222-2-2-22-200000000-1-1113-33-3-33-330000000000000000000000000000000000000000000000
χ8544-444-4-4-4-2-2-44-44-2-22222222-2-2-22-2100001-1-1-1-111222-2-2-22-200000000-1-111-33-333-33-30000000000000000000000000000000000000000000000
χ8644-4-4-44-4444000044-444-4-444-4-4-4-4-4400004-444-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-4-44-444-200004-2-444-42-2-2-4222-4-20000-22-2-222200000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000
χ8844-4-4-44-444-200004-2-444-42-2-2-4222-4-20000-22-2-222200000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000
χ8944-4-4-44-44-240000-242-2-22-4442-4-4-42-20000-22-2-2222000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000
χ9044-4-4-44-44-240000-242-2-22-4442-4-4-42-20000-22-2-2222000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000
χ914-444-4-4-444-244-4-4-4244-4-4-2-224-222-4-200002-2-222-224-224-4-2-4200000000-22-22000000000000000000000000000000000000000000000000000000
χ924-444-4-4-44-2444-4-42-4-2-22244-4-24-4-42-200002-2-222-22-24-4-2242-400000000-22-22000000000000000000000000000000000000000000000000000000
χ934-444-4-4-44-2-244-4-422-2-222-2-22-2-222210000-111-1-11-1-2-22-22-222000000001-11-13i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ944-444-4-4-44-2-244-4-422-2-222-2-22-2-222210000-111-1-11-1-2-22-22-222000000001-11-1−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ954-444-4-4-44-2-2-4-44422-2-222-2-22-2-222214i−4i4i−4i-111-1-11-122-22-22-2-2−2i2i−2i2i−2i2i−2i2i-11-11ii−i−iii−i−i0000000000000000000000000000000000000000000000
χ964-444-4-4-44-2-2-4-44422-2-222-2-22-2-22221−4i4i−4i4i-111-1-11-122-22-22-2-22i−2i2i−2i2i−2i2i−2i-11-11−i−iii−i−iii0000000000000000000000000000000000000000000000
χ974-44-444-4-44-20000-424-44-4-22-2-42-224-200002-22-222-200000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i20000000000000000000000
χ984-44-444-4-44-20000-424-44-4-22-2-42-224-200002-22-222-2000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i20000000000000000000000
χ994-44-444-4-4-2400002-4-22-224-442-44-4-2-200002-22-222-2000000000000000000000000000022−2222−220000−22−22−22−22000000000000000000000000000000
χ1004-44-444-4-4-2400002-4-22-224-442-44-4-2-200002-22-222-20000000000000000000000000000−2222−222200002−22−22−22−2000000000000000000000000000000
χ1014-4-44-444-44-24-4-44-42-4-44422-24-22-2-4-20000222-2-2-224-22-442-4-200000000-222-2000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-4-244-4-442-422-2-2-4-44-24-442-20000222-2-2-22-24-42-2-42400000000-222-2000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-4-2-24-4-442222-2-222-2-2-22-2210000-1-1-1111-1-2-222-222-2000000001-1-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1044-4-44-444-4-2-24-4-442222-2-222-2-2-22-2210000-1-1-1111-1-2-222-222-2000000001-1-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1054-4-44-444-4-2-2-444-42222-2-222-2-2-22-2214i−4i−4i4i-1-1-1111-122-2-22-2-22−2i2i2i−2i−2i2i2i−2i-111-1ii−i−i−i−iii0000000000000000000000000000000000000000000000
χ1064-4-44-444-4-2-2-444-42222-2-222-2-2-22-221−4i4i4i−4i-1-1-1111-122-2-22-2-222i−2i−2i2i2i−2i−2i2i-111-1−i−iiiii−i−i0000000000000000000000000000000000000000000000
χ1074-4-4-44-4444-20000-42-44-442-22-42-2-24-2000022-22-22-20000000000000000000000000000000022−22−222200000000−22−222−22−20000000000000000000000
χ1084-4-4-44-4444-20000-42-44-442-22-42-2-24-2000022-22-22-200000000000000000000000000000000−222222−22000000002−22−2−22−220000000000000000000000
χ1094-4-4-44-444-2400002-42-22-2-44-42-444-2-2000022-22-22-2000000000000000000000000000022−22−22220000−22−222−22−2000000000000000000000000000000
χ1104-4-4-44-444-2400002-42-22-2-44-42-444-2-2000022-22-22-20000000000000000000000000000−222222−2200002−22−2−22−22000000000000000000000000000000
χ111888-8-8-88-8-4-40000-4-4-444-4-444444-442000022-2-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88-4-40000-4-44-4-444-4-444444200002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-888-8-8-4-4000044-44-44-44-444-44-420000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-88-888-4-40000444-44-44-4444-4-4-420000-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000

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