Finite Group Databasebeta

← Group #10853292

Character table — Group #10853292

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order122222223444444446666666121212121212121244444488888888121212121212121224242424242424242424242424242424444444121212121212121212121212121212124444444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-111-1-11-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-11-1-111-1-111-11
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-11-111-1-1-1-111-11
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-11-1-11111-1-11-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-1-1-11111-1-1-11
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1111-1-1-1-1111-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1-111-1-1111-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1111-1-111-1-1-11
χ172222222222222-2-2-2-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000002222-2-20000000000
χ182222222222222-2-2-2-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000-2-2-2-2220000000000
χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222000000000000-2-22222-2-20000000000000000000000000000000000000022-2-2-220000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222000000000000-2-22222-2-200000000000000000000000000000000000000-2-2222-20000000000
χ2122222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-211111111-1-1-1-1-1-1-1-10000000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-1-1-1-1-1-1-1-1111111110000000000000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222222222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-2-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-22222-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-1-1-1-1-111110000000000000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-222221111-1-1-1-11111-1-1-1-10000000000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-12222-2-2-1-1-1-111111111-1-1-1-10000000000000000
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χ3722-222-2-2-222-22-222-2-2-2-22-2-22222-2-222-2-22-222-2-2000000002222-2-2-2-20000000000000000002-2000000000022-2-222-2-20000000000000000
χ3822-222-2-2-222-22-222-2-2-2-22-2-22222-2-222-2-22-2-2-222000000002222-2-2-2-2000000000000000000-220000000000-2-222-2-2220000000000000000
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χ4022-222-2-2-222-22-2-2-222-2-22-2-22222-2-222-2-2-22000000000000-2-2-2-2222200000000000000000000000000000000000000000000−2i2i−2i2i000000
χ4122-222-2-2-22-22-2222-2-2-2-22-2-222-2-222-2-222-2222-2-20000000022-2-222-2-2000000000000000000-22000000000022-2-2-2-2220000000000000000
χ4222-222-2-2-22-22-2222-2-2-2-22-2-222-2-222-2-222-22-2-2220000000022-2-222-2-20000000000000000002-20000000000-2-22222-2-20000000000000000
χ4322-222-2-2-22-22-22-2-222-2-22-2-222-2-222-2-2222-2000000000000-2-222-2-222000000000000000000000000000000000000000000002i−2i−2i2i000000
χ4422-222-2-2-22-22-22-2-222-2-22-2-222-2-222-2-2222-2000000000000-2-222-2-22200000000000000000000000000000000000000000000−2i2i2i−2i000000
χ4522-222-2-2-2-12-22-222-2-211-111-1-1-1-111-1-1112-222-2-200000000-1-1-1-1111133−3−333−3−333−3−333−3−3002-20033−3−333−3−3-1-111-1-1110000000000000000
χ4622-222-2-2-2-12-22-222-2-211-111-1-1-1-111-1-1112-222-2-200000000-1-1-1-11111−3−333−3−333−3−333−3−333002-200−3−333−3−333-1-111-1-1110000000000000000
χ4722-222-2-2-2-12-22-222-2-211-111-1-1-1-111-1-1112-2-2-22200000000-1-1-1-1111133−3−333−3−333−3−333−3−300-2200−3−333−3−33311-1-111-1-10000000000000000
χ4822-222-2-2-2-12-22-222-2-211-111-1-1-1-111-1-1112-2-2-22200000000-1-1-1-11111−3−333−3−333−3−333−3−33300-220033−3−333−3−311-1-111-1-10000000000000000
χ4922-222-2-2-2-1-22-2222-2-211-111-1-111-1-111-1-1-2222-2-200000000-1-111-1-11133−3−333−3−3−3−333−3−33300-220033−3−3−3−333-1-11111-1-10000000000000000
χ5022-222-2-2-2-1-22-2222-2-211-111-1-111-1-111-1-1-2222-2-200000000-1-111-1-111−3−333−3−33333−3−333−3−300-2200−3−33333−3−3-1-11111-1-10000000000000000
χ5122-222-2-2-2-1-22-2222-2-211-111-1-111-1-111-1-1-22-2-22200000000-1-111-1-11133−3−333−3−3−3−333−3−333002-200−3−33333−3−311-1-1-1-1110000000000000000
χ5222-222-2-2-2-1-22-2222-2-211-111-1-111-1-111-1-1-22-2-22200000000-1-111-1-111−3−333−3−33333−3−333−3−3002-20033−3−3−3−33311-1-1-1-1110000000000000000
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χ542-222-2-22-2200002-2-222-2-22-22-200000000002i−2i2i−2i−2i2i−2i2i00002-200002-2−2i2i−2i2i−2i2i−2i2i00000000-220000-22-2200002i−2i2i−2i00000000000000000000
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χ582-222-2-22-2-100002-2-22-111-11-113−33−33−33−3002i−2i2i−2i−2i2i−2i2i0000-113−33−3-11i−ii−ii−ii−ii3−i3i3−i3i3−i3i3−i3-2200001-11-1−33−33−ii−ii−i3i3−i3i30000000000000000
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χ702-2-22-22-22-100002-22-21-111-1-113−3−333−3−33002i−2i−2i2i0000−2i2i−2i2i-113−3−331-1−i3i3i3−i3−i3i3i3−i3i−i−iii−i−ii0000-22−333−3-111-1−iii−i−i3i3i3−i30000000000000000
χ712-2-22-22-22-100002-22-21-111-1-113−3−333−3−3300−2i2i2i−2i00002i−2i2i−2i-113−3−331-1i3−i3−i3i3i3−i3−i3i3−iii−i−iii−i0000-22−333−3-111-1i−i−iii3−i3−i3i30000000000000000
χ722-2-22-22-22-100002-22-21-111-1-113−3−333−3−3300−2i2i2i−2i0000−2i2i−2i2i-113−3−331-1−i3i3i3−i3−i3i3i3−i3i−i−iii−i−ii00002-23−3−331-1-11i−i−iii3−i3−i3i30000000000000000
χ732-2-22-22-22-100002-22-21-111-1-11−333−3−333−3002i−2i−2i2i00002i−2i2i−2i-11−333−31-1−i3i3i3−i3−i3i3i3−i3−iii−i−iii−i00002-2−333−31-1-11−iii−ii3−i3−i3i30000000000000000
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χ79444-4-4-4-44-244-4-4000022-2-2-222-2-2-2-22222000000−2i2−2i22i22i2−2i2−2i22i22i200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000000000000000
χ80444-4-4-4-44-244-4-4000022-2-2-222-2-2-2-222220000002i22i2−2i2−2i22i22i2−2i2−2i200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000000000000000
χ81444-4-4-4-44-2-4-444000022-2-2-2222222-2-2-2-2000000−2i2−2i22i22i22i22i2−2i2−2i200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000000000000000
χ82444-4-4-4-44-2-4-444000022-2-2-2222222-2-2-2-20000002i22i2−2i2−2i2−2i2−2i22i22i200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000000000000000
χ8344-444-4-4-4-24-44-4-4-44422-222-2-2-2-222-2-222-440000000000002222-2-2-2-2000000000000000000000000000000000000000000000000000000
χ8444-444-4-4-4-2-44-44-4-44422-222-2-222-2-222-2-24-400000000000022-2-222-2-2000000000000000000000000000000000000000000000000000000
χ8544-4-4-444-444-4-440000444-4-4-4-444-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-4-4-444-44-444-40000444-4-4-4-4-4-44444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-4-444-4-24-4-440000-2-2-22222-2-22222-2-20000000000000000000000i6i6−i6−i6−i6−i6i6i6i6i6−i6−i6−i6−i6i6i600000000000000000000000000000000000000
χ8844-4-4-444-4-24-4-440000-2-2-22222-2-22222-2-20000000000000000000000−i6−i6i6i6i6i6−i6−i6−i6−i6i6i6i6i6−i6−i600000000000000000000000000000000000000
χ8944-4-4-444-4-2-444-40000-2-2-2222222-2-2-2-2220000000000000000000000i6i6−i6−i6−i6−i6i6i6−i6−i6i6i6i6i6−i6−i600000000000000000000000000000000000000
χ9044-4-4-444-4-2-444-40000-2-2-2222222-2-2-2-2220000000000000000000000−i6−i6i6i6i6i6−i6−i6i6i6−i6−i6−i6−i6i6i600000000000000000000000000000000000000
χ914-444-4-44-440000-444-44-4-44-44-40000000000000000000000-440000-44000000000000000000000000000000000000000000000000000000
χ924-444-4-44-4-20000-444-4-222-22-2223−2323−2323−2323−23000000000000002-2−2323−23232-2000000000000000000000000000000000000000000000000000000
χ934-444-4-44-4-20000-444-4-222-22-22−2323−2323−2323−2323000000000000002-223−2323−232-2000000000000000000000000000000000000000000000000000000
χ944-44-444-4-4400000000-44-44-4-440000000000000022−22−222200000000000022−2222−22−2222−22220000000000000000000000000000000000000000000000
χ954-44-444-4-4400000000-44-44-4-4400000000000000−222222−22000000000000−2222−222222−2222−220000000000000000000000000000000000000000000000
χ964-44-444-4-4-2000000002-22-222-223−2323−23−2323−232300000022−22−2222000000000000−22−222−22−2−66−666−66−600000000000000000000000000000000000000
χ974-44-444-4-4-2000000002-22-222-223−2323−23−2323−2323000000−222222−220000000000002−22−2−22−226−66−6−66−6600000000000000000000000000000000000000
χ984-44-444-4-4-2000000002-22-222-2−2323−232323−2323−2300000022−22−2222000000000000−22−222−22−26−66−6−66−6600000000000000000000000000000000000000
χ994-44-444-4-4-2000000002-22-222-2−2323−232323−2323−23000000−222222−220000000000002−22−2−22−22−66−666−66−600000000000000000000000000000000000000
χ1004-4-44-44-4440000-44-44-44-4-444-40000000000000000000000-4400004-4000000000000000000000000000000000000000000000000000000
χ1014-4-44-44-44-20000-44-442-222-2-2223−23−232323−23−2323000000000000002-2−232323−23-22000000000000000000000000000000000000000000000000000000
χ1024-4-44-44-44-20000-44-442-222-2-22−232323−23−232323−23000000000000002-223−23−2323-22000000000000000000000000000000000000000000000000000000
χ1034-4-4-44-4444000000004-4-4-44-4400000000000000000022−22−2222000000000000000022−22−2222−222222−2200000000000000000000000000000000000000
χ1044-4-4-44-4444000000004-4-4-44-44000000000000000000−222222−220000000000000000−222222−2222−22−222200000000000000000000000000000000000000
χ1054-4-4-44-444-200000000-2222-22-223−23−2323−232323−23000000000022−22−2222000000006−6−66−666−6−222−22−2−2200000000000000000000000000000000000000
χ1064-4-4-44-444-200000000-2222-22-223−23−2323−232323−230000000000−222222−2200000000−666−66−6−662−2−22−222−200000000000000000000000000000000000000
χ1074-4-4-44-444-200000000-2222-22-2−232323−2323−23−2323000000000022−22−222200000000−666−66−6−66−222−22−2−2200000000000000000000000000000000000000
χ1084-4-4-44-444-200000000-2222-22-2−232323−2323−23−23230000000000−222222−22000000006−6−66−666−62−2−22−222−200000000000000000000000000000000000000

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