Finite Group Databasebeta

← Group #11787285

Character table — Group #11787285

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order1222222233444466666666666666344446666666121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444444441212121212121212224444
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
χ911-1-1-111-11111-1-1111-1-1-1-1-1-11-1-1111ii−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
χ1011-1-1-111-11111-1-1111-1-1-1-1-1-11-1-1111ii−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
χ1111-1-1-111-11111-1-1111-1-1-1-1-1-11-1-1111ii−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
χ1211-1-1-111-11111-1-1111-1-1-1-1-1-11-1-1111ii−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
χ1311-1-1-111-11111-1-1111-1-1-1-1-1-11-1-1111−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
χ1411-1-1-111-11111-1-1111-1-1-1-1-1-11-1-1111−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
χ1511-1-1-111-11111-1-1111-1-1-1-1-1-11-1-1111−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
χ1611-1-1-111-11111-1-1111-1-1-1-1-1-11-1-1111−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
χ182222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000-2-2-2-2000000000000220000
χ19222222222-1222222-1222-1-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-1222-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ20222222222-1222222-1222-1-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-1222-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ21222222222-1222222-1222-1-1-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1222-12-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ22222222222-1222222-1222-1-1-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1222-12-2-211-2-211-1-1-1-111111111-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ2322222222-122222-1-12-1-1-12222-122-1-12222-1-1-1-1-1-1-1222-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ2422222222-122222-1-12-1-1-12222-122-1-12222-1-1-1-1-1-1-1222-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ2522222222-122222-1-12-1-1-12222-122-1-1-2-2-2-2-1-1-1-1-1-1-1222-1-1-12-111-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ2622222222-122222-1-12-1-1-12222-122-1-1-2-2-2-2-1-1-1-1-1-1-1222-1-1-12-111-2-211-2-2-1-1-1-1111111110000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ2722-2-2-222-222-2-222222-2-2-2-2-2-22-2-2222000022-2-2-22-2-2-22-2-222200000000-2-2220000000000000000000000000000000022-2-2000000000000-220000
χ2822-2-2-222-222-2-222222-2-2-2-2-2-22-2-2222000022-2-2-22-2-2-22-2-222200000000-2-22200000000000000000000000000000000-2-2220000000000002-20000
χ2922-2-2-222-22-122-2-222-1-2-2-2111-1-21-12-12i2i−2i−2i-1-1111-11-1-1122-21-22i2i−i−i−2i−2iii-1-111−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii0000000000002-200-1-1110000000000
χ3022-2-2-222-22-122-2-222-1-2-2-2111-1-21-12-12i2i−2i−2i-1-1111-11-1-1122-21-22i2i−i−i−2i−2iii-1-111−i−i−i−iiiii−2i−2i2i2i0000iiii−i−i−i−i000000000000-220011-1-10000000000
χ3122-2-2-222-22-122-2-222-1-2-2-2111-1-21-12-1−2i−2i2i2i-1-1111-11-1-1122-21-2−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i2i2i−2i−2i0000−i−i−i−iiiii000000000000-220011-1-10000000000
χ3222-2-2-222-22-122-2-222-1-2-2-2111-1-21-12-1−2i−2i2i2i-1-1111-11-1-1122-21-2−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i−2i−2i2i2i0000iiii−i−i−i−i0000000000002-200-1-1110000000000
χ3322-2-2-222-2-1222-2-2-1-12111-2-2-221-22-1-12i2i−2i−2i-1-1111-1122-2-1-11-21−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00002i2i−2i−2i00000000−i−i−i−iiiii0000002-20000-1-111000000
χ3422-2-2-222-2-1222-2-2-1-12111-2-2-221-22-1-12i2i−2i−2i-1-1111-1122-2-1-11-21−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii0000−2i−2i2i2i00000000iiii−i−i−i−i000000-22000011-1-1000000
χ3522-2-2-222-2-1222-2-2-1-12111-2-2-221-22-1-1−2i−2i2i2i-1-1111-1122-2-1-11-21ii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00002i2i−2i−2i00000000−i−i−i−iiiii000000-22000011-1-1000000
χ3622-2-2-222-2-1222-2-2-1-12111-2-2-221-22-1-1−2i−2i2i2i-1-1111-1122-2-1-11-21ii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i0000−2i−2i2i2i00000000iiii−i−i−i−i0000002-20000-1-111000000
χ372-222-2-22-2222-22-2-2-2-222-222-22-2-2-2220000-2-222-22-22-222-2-2-22000000002-22-2000000000000000000000000000000000000000000000000002i−2i2i−2i
χ382-222-2-22-2222-22-2-2-2-222-222-22-2-2-2220000-2-222-22-22-222-2-2-22000000002-22-200000000000000000000000000000000000000000000000000−2i2i−2i2i
χ392-222-2-22-222-22-22-2-2-222-222-22-2-2-2222i−2i2i−2i-2-222-22-2-22-2-2222-22i−2i2i−2i2i−2i2i−2i-22-222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ402-222-2-22-222-22-22-2-2-222-222-22-2-2-222−2i2i−2i2i-2-222-22-2-22-2-2222-2−2i2i−2i2i−2i2i−2i2i-22-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
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χ422-222-2-22-22-1-22-22-2-2122-2-1-11-1-2112-12i−2i2i−2i11-1-11-111-11-222-1-22i−2i−ii2i−2i−ii1-11-1−i−iii−i−iii00000000i3i3−i3−i3i3i3−i3−i30000000000000000−33−330000000000
χ432-222-2-22-22-1-22-22-2-2122-2-1-11-1-2112-1−2i2i−2i2i11-1-11-111-11-222-1-2−2i2ii−i−2i2ii−i1-11-1ii−i−iii−i−i00000000−i3−i3i3i3−i3−i3i3i30000000000000000−33−330000000000
χ442-222-2-22-22-1-22-22-2-2122-2-1-11-1-2112-1−2i2i−2i2i11-1-11-111-11-222-1-2−2i2ii−i−2i2ii−i1-11-1ii−i−iii−i−i00000000i3i3−i3−i3i3i3−i3−i300000000000000003−33−30000000000
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χ8244-444-4-4-44-20000-44-2-44-42-2224-22-4-200002-22-222-2000000000000000000000000000000000000−666−66−6−66000000000000000000000000000000
χ8344-444-4-4-4-2400002-242-22-44-4-4-24-42-200002-22-222-2000000000000000000000000000000000000000000006−6−66−666−60000000000000000000000
χ8444-444-4-4-4-2400002-242-22-44-4-4-24-42-200002-22-222-200000000000000000000000000000000000000000000−666−66−6−660000000000000000000000
χ8544-4-4-444-44-2-4-44444-2-4-4-4222-2-42-24-20000-2-2222-2222-2-4-44-240000000022-2-2000000000000000000000000000000000000000000000000000000
χ8644-4-4-444-4-24-4-444-2-24222-4-4-442-44-2-20000-2-2222-22-4-4422-24-20000000022-2-2000000000000000000000000000000000000000000000000000000
χ8744-4-4-444-4-2-244-4-4-2-2-2222222-222-2-214i4i−4i−4i11-1-1-11-1-2-22-2-2222−2i−2i−2i−2i2i2i2i2i11-1-1iiii−i−i−i−i0000000000000000000000000000000000000000000000
χ8844-4-4-444-4-2-244-4-4-2-2-2222222-222-2-21−4i−4i4i4i11-1-1-11-1-2-22-2-22222i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii0000000000000000000000000000000000000000000000
χ8944-4-4-444-4-2-2-4-444-2-2-2222222-222-2-21000011-1-1-11-122-222-2-2-200000000-1-1113i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000000000
χ9044-4-4-444-4-2-2-4-444-2-2-2222222-222-2-21000011-1-1-11-122-222-2-2-200000000-1-111−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ914-444-4-44-44-24-44-4-4-4244-4-2-22-2-4224-2000022-2-22-22-22-24-4-42400000000-22-22000000000000000000000000000000000000000000000000000000
χ924-444-4-44-4-244-44-422-4-2-2244-442-4-4-2-2000022-2-22-224-44-222-4-200000000-22-22000000000000000000000000000000000000000000000000000000
χ934-444-4-44-4-2-24-44-4222-2-22-2-22-2222-210000-1-111-11-1-22-2-2222-2000000001-11-13i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ944-444-4-44-4-2-24-44-4222-2-22-2-22-2222-210000-1-111-11-1-22-2-2222-2000000001-11-1−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ954-444-4-44-4-2-2-44-44222-2-22-2-22-2222-214i−4i4i−4i-1-111-11-12-222-2-2-22−2i2i−2i2i−2i2i−2i2i-11-11ii−i−iii−i−i0000000000000000000000000000000000000000000000
χ964-444-4-44-4-2-2-44-44222-2-22-2-22-2222-21−4i4i−4i4i-1-111-11-12-222-2-2-222i−2i2i−2i2i−2i2i−2i-11-11−i−iii−i−iii0000000000000000000000000000000000000000000000
χ974-44-444-4-44-200004-424-4-4-22224-2-2-4-20000-22-2222-2000000000000000000000000000022−2222−220000−22−22−22−22000000000000000000000000000000
χ984-44-444-4-44-200004-424-4-4-22224-2-2-4-20000-22-2222-20000000000000000000000000000−2222−222200002−22−22−22−2000000000000000000000000000000
χ994-44-444-4-4-240000-22-4-2224-4-4-4-2442-20000-22-2222-200000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i20000000000000000000000
χ1004-44-444-4-4-240000-22-4-2224-4-4-4-2442-20000-22-2222-2000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i20000000000000000000000
χ1014-4-44-44-444-200004-42-4442-2-22-42-2-4-20000-222-2-2220000000000000000000000000000−2i22i22i2−2i20000i2−i2i2−i2−i2i2−i2i2000000000000000000000000000000
χ1024-4-44-44-444-200004-42-4442-2-22-42-2-4-20000-222-2-22200000000000000000000000000002i2−2i2−2i22i20000−i2i2−i2i2i2−i2i2−i2000000000000000000000000000000
χ1034-4-44-44-44-240000-22-42-2-2-444-42-442-20000-222-2-2220000000000000000000000000000000022−22−222200000000−22−222−22−20000000000000000000000
χ1044-4-44-44-44-240000-22-42-2-2-444-42-442-20000-222-2-22200000000000000000000000000000000−222222−22000000002−22−2−22−220000000000000000000000
χ1054-4-4-44-4444-24-4-44-4-42-4-4422-2-24-224-200002222-2-2-2-2224-44-2-400000000-222-2000000000000000000000000000000000000000000000000000000
χ1064-4-4-44-444-244-4-4422-422-2-4-444-24-4-2-200002222-2-2-24-4-4-22-24200000000-222-2000000000000000000000000000000000000000000000000000000
χ1074-4-4-44-444-2-24-4-4422222-222-2-2-2-22-210000-1-1-1-1111-222-22-2-22000000001-1-113-3-33-333-30000000000000000000000000000000000000000000000
χ1084-4-4-44-444-2-24-4-4422222-222-2-2-2-22-210000-1-1-1-1111-222-22-2-22000000001-1-11-333-33-3-330000000000000000000000000000000000000000000000
χ1094-4-4-44-444-2-2-444-422222-222-2-2-2-22-214-4-44-1-1-1-11112-2-22-222-2-22-222-22-2-111-111-1-1-1-1110000000000000000000000000000000000000000000000
χ1104-4-4-44-444-2-2-444-422222-222-2-2-2-22-21-444-4-1-1-1-11112-2-22-222-22-22-2-22-22-111-1-1-11111-1-10000000000000000000000000000000000000000000000
χ111888-8-8-8-88-4-400004-4-4-44-4-44-44444420000-222-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-888-8-8-8-4-400004-4-44-444-444-4-44420000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-888-8-8-4-40000-444-444-4444-4-4-44200002-22-2-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-88-4-40000-4444-4-44-4-4444-44200002-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000

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