Finite Group Databasebeta

← Group #11791491

Character table — Group #11791491

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order122222223344446666666666666634444666666612121212121212121212121212121212121212121212121212121212888888882424242424242424242424242424242444442244666612121212444444
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
χ91-1-1-1111-11111-1-111-1-1-111-1-1-11-1-111ii−i−i11-1-1-11-111-111-1-1-1iiii−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
χ101-1-1-1111-11111-1-111-1-1-111-1-1-11-1-111ii−i−i11-1-1-11-111-111-1-1-1iiii−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
χ111-1-1-1111-11111-1-111-1-1-111-1-1-11-1-111ii−i−i11-1-1-11-111-111-1-1-1iiii−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
χ121-1-1-1111-11111-1-111-1-1-111-1-1-11-1-111ii−i−i11-1-1-11-111-111-1-1-1iiii−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
χ131-1-1-1111-11111-1-111-1-1-111-1-1-11-1-111−i−iii11-1-1-11-111-111-1-1-1−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
χ141-1-1-1111-11111-1-111-1-1-111-1-1-11-1-111−i−iii11-1-1-11-111-111-1-1-1−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
χ151-1-1-1111-11111-1-111-1-1-111-1-1-11-1-111−i−iii11-1-1-11-111-111-1-1-1−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
χ161-1-1-1111-11111-1-111-1-1-111-1-1-11-1-111−i−iii11-1-1-11-111-111-1-1-1−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
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χ19222222222-1222222222-1-1-1-1-1-12-12-12222-1-1-1-1-1-1-1-1-1-1222-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ20222222222-1222222222-1-1-1-1-1-12-12-12222-1-1-1-1-1-1-1-1-1-1222-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ21222222222-1222222222-1-1-1-1-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1222-12-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ22222222222-1222222222-1-1-1-1-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1222-12-2-211-2-211-1-1-1-111111111-2-2-2-20000111111110000000000002200-1-1-1-10000000000
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χ2422222222-122222-1-1-1-1-1222222-12-1-12222-1-1-1-1-1-1-1222-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ2522222222-122222-1-1-1-1-1222222-12-1-1-2-2-2-2-1-1-1-1-1-1-1222-1-1-12-111-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ2622222222-122222-1-1-1-1-1222222-12-1-1-2-2-2-2-1-1-1-1-1-1-1222-1-1-12-111-2-211-2-2-1-1-1-1111111110000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ2722-222-2-2-2222-22-2-2-22-2-2-2-22-2-2222220000-2-22-2-2222-222-22-2-2000000002-22-2000000000000000000000000000000000000000000000000002i−2i2i−2i
χ2822-222-2-2-2222-22-2-2-22-2-2-2-22-2-2222220000-2-22-2-2222-222-22-2-2000000002-22-200000000000000000000000000000000000000000000000000−2i2i−2i2i
χ2922-222-2-2-222-22-22-2-22-2-2-2-22-2-2222222-22-2-2-22-2-222-22-2-22-2222-22-22-22-2-22-2222-2-222-2-20000000000000000000000000000000000000000000000
χ3022-222-2-2-222-22-22-2-22-2-2-2-22-2-222222-22-22-2-22-2-222-22-2-22-222-22-22-22-22-22-22-2-222-2-2220000000000000000000000000000000000000000000000
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χ3722-222-2-2-2-12-22-2211-111-2-22-2-22-12-1-1-22-2211-111-1-1-22-21-112-11-1-221-1-221-11-111-1-111-1-10000000000000000−i3−i3i3i3−i3−i3i3i3000000000000i3−i3i3−i3000000
χ3822-222-2-2-2-12-22-2211-111-2-22-2-22-12-1-1-22-2211-111-1-1-22-21-112-11-1-221-1-221-11-111-1-111-1-10000000000000000i3i3−i3−i3i3i3−i3−i3000000000000−i3i3−i3i3000000
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χ8244-444-4-4-4-2-24-44-422-22222-222-2-2-2-210000-1-11-1-111-22-2-22-222000000001-11-13-3-333-3-330000000000000000000000000000000000000000000000
χ8344-444-4-4-4-2-24-44-422-22222-222-2-2-2-210000-1-11-1-111-22-2-22-222000000001-11-1-333-3-333-30000000000000000000000000000000000000000000000
χ8444-444-4-4-4-2-2-44-4422-22222-222-2-2-2-214-44-4-1-11-1-1112-222-22-2-2-22-22-22-22-11-1111-1-111-1-10000000000000000000000000000000000000000000000
χ8544-444-4-4-4-2-2-44-4422-22222-222-2-2-2-21-44-44-1-11-1-1112-222-22-2-22-22-22-22-2-11-11-1-111-1-1110000000000000000000000000000000000000000000000
χ8644-4-4-44-444-200004-444-4-22-2-222-42-4-20000-22-2-22220000000000000000000000000000−2i22i2−2i22i20000i2−i2i2−i2i2−i2i2−i2000000000000000000000000000000
χ8744-4-4-44-444-200004-444-4-22-2-222-42-4-20000-22-2-222200000000000000000000000000002i2−2i22i2−2i20000−i2i2−i2i2−i2i2−i2i2000000000000000000000000000000
χ8844-4-4-44-44-240000-22-2-224-444-4-42-42-20000-22-2-22220000000000000000000000000000000022−2222−2200000000−22−22−22−220000000000000000000000
χ8944-4-4-44-44-240000-22-2-224-444-4-42-42-20000-22-2-222200000000000000000000000000000000−2222−2222000000002−22−22−22−20000000000000000000000
χ904-444-44-4-44-200004-4-4-44-2222-224-2-4-20000-2222-22-2000000000000000000000000000022−22−22220000−22−222−22−2000000000000000000000000000000
χ914-444-44-4-44-200004-4-4-44-2222-224-2-4-20000-2222-22-20000000000000000000000000000−222222−2200002−22−2−22−22000000000000000000000000000000
χ924-444-44-4-4-240000-2222-24-4-4-44-4-242-20000-2222-22-200000000000000000000000000000000−2i22i22i2−2i200000000i2−i2i2−i2−i2i2−i2i20000000000000000000000
χ934-444-44-4-4-240000-2222-24-4-4-44-4-242-20000-2222-22-2000000000000000000000000000000002i2−2i2−2i22i200000000−i2i2−i2i2i2−i2i2−i20000000000000000000000
χ944-44-44-4-444-24-4-44-4-4-444222-2-2-2-424-20000222-2-2-22-2224-4-4-2400000000-222-2000000000000000000000000000000000000000000000000000000
χ954-44-44-4-44-244-4-44222-2-2-4-4-44442-4-2-20000222-2-2-224-4-4-2224-200000000-222-2000000000000000000000000000000000000000000000000000000
χ964-44-44-4-44-2-24-4-44222-2-2222-2-2-222-210000-1-1-1111-1-222-222-2-2000000001-1-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ974-44-44-4-44-2-24-4-44222-2-2222-2-2-222-210000-1-1-1111-1-222-222-2-2000000001-1-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ984-44-44-4-44-2-2-444-4222-2-2222-2-2-222-214i−4i−4i4i-1-1-1111-12-2-22-2-222−2i2i−2i2i2i−2i2i−2i-111-1ii−i−i−i−iii0000000000000000000000000000000000000000000000
χ994-44-44-4-44-2-2-444-4222-2-2222-2-2-222-21−4i4i4i−4i-1-1-1111-12-2-22-2-2222i−2i2i−2i−2i2i−2i2i-111-1−i−iiiii−i−i0000000000000000000000000000000000000000000000
χ1004-4-44-4-444440000-44-44-4-44-44-4-444-440000-44-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-4444-20000-44-44-42-22-2224-2-4-200002-22-222-2000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000
χ1024-4-44-4-4444-20000-44-44-42-22-2224-2-4-200002-22-222-2000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000
χ1034-4-44-4-444-2400002-22-22-44-44-4-4-242-200002-22-222-2000000000000000000000000000000000000000000006−6−66−666−60000000000000000000000
χ1044-4-44-4-444-2400002-22-22-44-44-4-4-242-200002-22-222-200000000000000000000000000000000000000000000−666−66−6−660000000000000000000000
χ1054-4-4-4444-44-2-4-44444-4-4-4-2-2222-2-424-20000-2-2222-2222-2-4-44-240000000022-2-2000000000000000000000000000000000000000000000000000000
χ1064-4-4-4444-4-24-4-444-2-222244-4-4-442-4-2-20000-2-2222-22-4-4422-24-20000000022-2-2000000000000000000000000000000000000000000000000000000
χ1074-4-4-4444-4-2-244-4-4-2-2222-2-2222-222-214i4i−4i−4i11-1-1-11-1-2-22-2-2222−2i−2i−2i−2i2i2i2i2i11-1-1iiii−i−i−i−i0000000000000000000000000000000000000000000000
χ1084-4-4-4444-4-2-244-4-4-2-2222-2-2222-222-21−4i−4i4i4i11-1-1-11-1-2-22-2-22222i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii0000000000000000000000000000000000000000000000
χ1094-4-4-4444-4-2-2-4-444-2-2222-2-2222-222-21000011-1-1-11-122-222-2-2-200000000-1-1113i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000000000
χ1104-4-4-4444-4-2-2-4-444-2-2222-2-2222-222-21000011-1-1-11-122-222-2-2-200000000-1-111−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ111888-8-8-88-8-4-400004-4-44-44-4-44-4444420000-222-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88-4-40000-44-4-44-44-4-444444200002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-88-8-8-4-40000-4444-4-4444-44-4-44200002-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-8-888-4-400004-44-444-44-444-4-4420000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000

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