Finite Group Databasebeta

← Group #11791433

Character table — Group #11791433

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order1222222233444466666666666666344446666666121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111
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
χ91-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-1111ii−i−i11-1-1-11-11111-1-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11-11-111-1-111-1-11-1ii−i−i
χ101-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-1111ii−i−i11-1-1-11-11111-1-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1111-1-1111-1-1-1-111-11−i−iii
χ111-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-1111ii−i−i11-1-1-11-11111-1-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-111-1-1-11111-1-1-11−i−iii
χ121-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-1111ii−i−i11-1-1-11-11111-1-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1-11-11-1-111-1-1111-1ii−i−i
χ131-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-1111−i−iii11-1-1-11-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-11-11-1-111-1-1111-1−i−iii
χ141-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-1111−i−iii11-1-1-11-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111-111-1-1-11111-1-1-11ii−i−i
χ151-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-1111−i−iii11-1-1-11-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1-1111-1-1-1-111-11ii−i−i
χ161-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-1111−i−iii11-1-1-11-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-11-11-111-1-111-1-11-1−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
χ19222222222-1222222-1-1222-1-1-12-12-1-12222-1-1-1-1-1-1-122-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ20222222222-1222222-1-1222-1-1-12-12-1-12222-1-1-1-1-1-1-122-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ21222222222-1222222-1-1222-1-1-12-12-1-1-2-2-2-2-1-1-1-1-1-1-122-1-12-12-1-2-211-2-211-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ22222222222-1222222-1-1222-1-1-12-12-1-1-2-2-2-2-1-1-1-1-1-1-122-1-12-12-1-2-211-2-211-1-1-1-1111111110000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ2322222222-122222-1-122-1-1-1222-12-12-12222-1-1-1-1-1-1-1-1-122-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ2422222222-122222-1-122-1-1-1222-12-12-12222-1-1-1-1-1-1-1-1-122-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ2522222222-122222-1-122-1-1-1222-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-12-1211-2-211-2-2-1-1-1-11111111122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ2622222222-122222-1-122-1-1-1222-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-12-1211-2-211-2-2-1-1-1-111111111-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ27222-22-2-2-22200002-22-222-222-2-2-2-2-2200002-222-2-2-200000000000000000000000000002−22−22−22−222−2−222−2−222−2−222−2−22-22-2000000000000000000
χ28222-22-2-2-22200002-22-222-222-2-2-2-2-2200002-222-2-2-200000000000000000000000000002−22−2−22−2222−2−222−2−2−2−222−2−222-22-22000000000000000000
χ29222-22-2-2-22200002-22-222-222-2-2-2-2-2200002-222-2-2-20000000000000000000000000000−22−222−22−2−2−222−2−22222−2−222−2−2-22-22000000000000000000
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χ3322-22-2-22-222-22-22-2-2-2-22-2-22-2-2222222-22-2-2-22-2-222-22-22-2-2222-22-22-22-2-22-2222-2-222-2-20000000000000000000000000000000000000000000000
χ3422-22-2-22-222-22-22-2-2-2-22-2-22-2-222222-22-22-2-22-2-222-22-22-2-222-22-22-22-22-22-22-2-222-2-2220000000000000000000000000000000000000000000000
χ3522-22-2-22-22-1-22-22-2-2112-2-2-1112-12-1-12-22-211-111-1-1-221-1-212-12-2-112-2-111-11-1-1-111-1-1110000000000000000−i3i3−i3i3−i3i3−i3i3000000000000−i3i3−i3i3000000
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χ3822-22-2-22-22-1-22-22-2-2112-2-2-1112-12-1-1-22-2211-111-1-1-221-1-212-1-221-1-221-11-11-111-1-111-1-10000000000000000i3−i3i3−i3i3−i3i3−i3000000000000−i3i3−i3i3000000
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χ4022-22-2-22-2-12-22-2211-2-2-1112-2-2-12-12-12-22-211-111-1-11-1-221-2-12-112-2-112-21-11-1-1-111-1-11100000000i3−i3i3−i3i3−i3i3−i30000000000000000i3−i3i3−i30000000000
χ4122-22-2-22-2-12-22-2211-2-2-1112-2-2-12-12-1-22-2211-111-1-11-1-221-2-121-1-221-1-221-11-111-1-111-1-100000000−i3i3−i3i3−i3i3−i3i30000000000000000i3−i3i3−i30000000000
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χ8244-44-4-44-4-2-24-44-42222-222-222-2-2-2-210000-1-11-1-111-22-22-2-222000000001-11-1-333-3-333-30000000000000000000000000000000000000000000000
χ8344-44-4-44-4-2-2-44-442222-222-222-2-2-2-214-44-4-1-11-1-1112-22-222-2-2-22-22-22-22-11-1111-1-111-1-10000000000000000000000000000000000000000000000
χ8444-44-4-44-4-2-2-44-442222-222-222-2-2-2-21-44-44-1-11-1-1112-22-222-2-22-22-22-22-2-11-11-1-111-1-1110000000000000000000000000000000000000000000000
χ8544-4-4-44-44440000-44-444-444-44-4-4-4-440000-444-44-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-4-4-44-444-20000-442-24-44-22-2-42-42-200002-2-22-22200000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000000000
χ8744-4-4-44-444-20000-442-24-44-22-2-42-42-200002-2-22-22200000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000000000
χ8844-4-4-44-44-2400002-2-44-22-24-442-42-4-200002-2-22-222000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000
χ8944-4-4-44-44-2400002-2-44-22-24-442-42-4-200002-2-22-222000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000
χ904-444-44-4-4440000-44-44-44-4-44-444-4-440000-44-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ914-444-44-4-44-20000-442-2-44-42-224-2-42-200002-22-222-2000000000000000000000000000000000000000000006−6−66−666−60000000000000000000000
χ924-444-44-4-44-20000-442-2-44-42-224-2-42-200002-22-222-200000000000000000000000000000000000000000000−666−66−6−660000000000000000000000
χ934-444-44-4-4-2400002-2-442-22-44-4-242-4-200002-22-222-20000000000000000000000000000000000006−6−66−666−6000000000000000000000000000000
χ944-444-44-4-4-2400002-2-442-22-44-4-242-4-200002-22-222-2000000000000000000000000000000000000−666−66−6−66000000000000000000000000000000
χ954-44-4-4-4444-24-4-44-4-422-4442-2-2-424-2-20000222-2-2-224-4-22-424-200000000-222-2000000000000000000000000000000000000000000000000000000
χ964-44-4-4-444-244-4-4422-4-42-2-2-4442-4-24-20000222-2-2-22-224-42-4-2400000000-222-2000000000000000000000000000000000000000000000000000000
χ974-44-4-4-444-2-24-4-4422222-2-22-2-222-2-210000-1-1-1111-1-22-2222-2-2000000001-1-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ984-44-4-4-444-2-24-4-4422222-2-22-2-222-2-210000-1-1-1111-1-22-2222-2-2000000001-1-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ994-44-4-4-444-2-2-444-422222-2-22-2-222-2-214i−4i−4i4i-1-1-1111-12-22-2-2-222−2i2i−2i2i2i−2i2i−2i-111-1ii−i−i−i−iii0000000000000000000000000000000000000000000000
χ1004-44-4-4-444-2-2-444-422222-2-22-2-222-2-21−4i4i4i−4i-1-1-1111-12-22-2-2-2222i−2i2i−2i−2i2i−2i2i-111-1−i−iiiii−i−i0000000000000000000000000000000000000000000000
χ1014-4-444-4-444-200004-4-22-4-4422-24-2-42-20000-2222-22-200000000000000000000000000000000−2i22i22i2−2i200000000i2i2−i2−i2−i2−i2i2i20000000000000000000000
χ1024-4-444-4-444-200004-4-22-4-4422-24-2-42-20000-2222-22-2000000000000000000000000000000002i2−2i2−2i22i200000000−i2−i2i2i2i2i2−i2−i20000000000000000000000
χ1034-4-444-4-44-240000-224-422-2-4-44-242-4-20000-2222-22-20000000000000000000000000000−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i2000000000000000000000000000000
χ1044-4-444-4-44-240000-224-422-2-4-44-242-4-20000-2222-22-200000000000000000000000000002i2−2i2−2i22i20000−i2−i2i2i2i2i2−i2−i2000000000000000000000000000000
χ1054-4-4-4444-44-2-4-44444-2-2-4-4-4222-424-2-20000-2-2222-22-4-4224-24-20000000022-2-2000000000000000000000000000000000000000000000000000000
χ1064-4-4-4444-4-24-4-444-2-244222-4-4-42-4-24-20000-2-2222-2222-4-4-24-240000000022-2-2000000000000000000000000000000000000000000000000000000
χ1074-4-4-4444-4-2-244-4-4-2-2-2-222222222-2-214i4i−4i−4i11-1-1-11-1-2-2-2-22222−2i−2i−2i−2i2i2i2i2i11-1-1iiii−i−i−i−i0000000000000000000000000000000000000000000000
χ1084-4-4-4444-4-2-244-4-4-2-2-2-222222222-2-21−4i−4i4i4i11-1-1-11-1-2-2-2-222222i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii0000000000000000000000000000000000000000000000
χ1094-4-4-4444-4-2-2-4-444-2-2-2-222222222-2-21000011-1-1-11-12222-2-2-2-200000000-1-1113i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000000000
χ1104-4-4-4444-4-2-2-4-444-2-2-2-222222222-2-21000011-1-1-11-12222-2-2-2-200000000-1-111−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ111888-88-8-8-8-4-40000-44-44-4-44-4-444444200002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88-4-400004-44-4-44-4-44-4444420000-222-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-88-8-8-4-400004-44-44-444-44-4-44420000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-888-8-88-4-40000-44-4444-444-4-4-444200002-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000

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