Finite Group Databasebeta

← Group #10830001

Character table — Group #10830001

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order122222223444444446666666121212121212121244444488888888121212121212121224242424242424242424242424242424444444121212121212121212121212121212124444444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
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
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
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
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11-111-1-1-1-111-11
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-11-1-11111-1-11-1
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
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-111-1-11-1-1-111-1-1111-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1111-1-111-1-1-11
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
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-2-1-1-1-1-1-1-1-1111111110000000000000000
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
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-22211111111-1-1-1-1-1-1-1-10000000000000000
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
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-22222-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
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
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-12222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ29222-22-2-2-2222-2-2000022-2-22-2-22222-2-2-2-200000022−2−222−2−2000000002222−2−2−2−22222−2−2−2−200000000000000000000002-22-20000002−22−200
χ30222-22-2-2-2222-2-2000022-2-22-2-22222-2-2-2-200000022−2−222−2−2000000002222−2−2−2−22222−2−2−2−20000000000000000000000-22-22000000−22−2200
χ31222-22-2-2-2222-2-2000022-2-22-2-22222-2-2-2-2000000−2−222−2−22200000000−2−2−2−22222−2−2−2−2222200000000000000000000002-22-2000000−22−2200
χ32222-22-2-2-2222-2-2000022-2-22-2-22222-2-2-2-2000000−2−222−2−22200000000−2−2−2−22222−2−2−2−222220000000000000000000000-22-220000002−22−200
χ33222-22-2-2-22-2-222000022-2-22-2-2-2-2-2-2222200000022−2−2−2−222000000002222−2−2−2−2−2−2−2−2222200000000000000000000002-2-220000002−2−2200
χ34222-22-2-2-22-2-222000022-2-22-2-2-2-2-2-2222200000022−2−2−2−222000000002222−2−2−2−2−2−2−2−222220000000000000000000000-222-2000000−222−200
χ35222-22-2-2-22-2-222000022-2-22-2-2-2-2-2-22222000000−2−22222−2−200000000−2−2−2−222222222−2−2−2−200000000000000000000002-2-22000000−222−200
χ36222-22-2-2-22-2-222000022-2-22-2-2-2-2-2-22222000000−2−22222−2−200000000−2−2−2−222222222−2−2−2−20000000000000000000000-222-20000002−2−2200
χ3722-22-2-2-2220000-22-222-22-2-22-200000000002i2i−2i−2i00002i−2i2i−2i2-200002-2000000002i2i−2i−2i2i2i−2i−2i00002-22i2i−2i−2i0000000022-2-20000000000000000
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χ4022-22-2-2-2220000-22-222-22-2-22-20000000000−2i−2i2i2i0000−2i2i−2i2i2-200002-200000000−2i−2i2i2i−2i−2i2i2i00002-2−2i−2i2i2i0000000022-2-20000000000000000
χ4122-22-2-2-22-10000-22-22-11-111-1133−3−333−3−3002i2i−2i−2i00002i−2i2i−2i-1133−3−3-11−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii00002-2−i−iii−i3−i3i3i333−3−3-1-1110000000000000000
χ4222-22-2-2-22-10000-22-22-11-111-1133−3−333−3−3002i2i−2i−2i0000−2i2i−2i2i-1133−3−3-11i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i0000-22−i−iii−i3−i3i3i3−3−33311-1-10000000000000000
χ4322-22-2-2-22-10000-22-22-11-111-1133−3−333−3−300−2i−2i2i2i00002i−2i2i−2i-1133−3−3-11−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii0000-22ii−i−ii3i3−i3−i3−3−33311-1-10000000000000000
χ4422-22-2-2-22-10000-22-22-11-111-1133−3−333−3−300−2i−2i2i2i0000−2i2i−2i2i-1133−3−3-11i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i00002-2ii−i−ii3i3−i3−i333−3−3-1-1110000000000000000
χ4522-22-2-2-22-10000-22-22-11-111-11−3−333−3−333002i2i−2i−2i00002i−2i2i−2i-11−3−333-11i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii00002-2−i−iiii3i3−i3−i3−3−333-1-1110000000000000000
χ4622-22-2-2-22-10000-22-22-11-111-11−3−333−3−333002i2i−2i−2i0000−2i2i−2i2i-11−3−333-11−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i0000-22−i−iiii3i3−i3−i333−3−311-1-10000000000000000
χ4722-22-2-2-22-10000-22-22-11-111-11−3−333−3−33300−2i−2i2i2i00002i−2i2i−2i-11−3−333-11i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii0000-22ii−i−i−i3−i3i3i333−3−311-1-10000000000000000
χ4822-22-2-2-22-10000-22-22-11-111-11−3−333−3−33300−2i−2i2i2i0000−2i2i−2i2i-11−3−333-11−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i00002-2ii−i−i−i3−i3i3i3−3−333-1-1110000000000000000
χ492-22-2-2-2222000022-2-2-22-22-22-200000000002i−2i2i−2i2-22-20000-2200002-22-22-22-22-2000000002i−2i00002i−2i2i−2i00002i−2i2i−2i00000000000000000000
χ502-22-2-2-2222000022-2-2-22-22-22-200000000002i−2i2i−2i-22-220000-2200002-2-22-22-22-2200000000−2i2i00002i−2i2i−2i0000−2i2i−2i2i00000000000000000000
χ512-22-2-2-2222000022-2-2-22-22-22-20000000000−2i2i−2i2i2-22-20000-2200002-22-22-22-22-200000000−2i2i0000−2i2i−2i2i0000−2i2i−2i2i00000000000000000000
χ522-22-2-2-2222000022-2-2-22-22-22-20000000000−2i2i−2i2i-22-220000-2200002-2-22-22-22-22000000002i−2i0000−2i2i−2i2i00002i−2i2i−2i00000000000000000000
χ532-22-2-2-222-1000022-2-21-11-11-113−33−33−33−3002i−2i2i−2i2-22-200001-13−33−3-11-11-11-11-113−33−33−33−32i−2i0000−ii−ii−i3i3−i3i3−ii−ii−i3i3−i3i30000000000000000
χ542-22-2-2-222-1000022-2-21-11-11-113−33−33−33−3002i−2i2i−2i-22-2200001-13−33−3-111-11-11-11-1−33−33−33−33−2i2i0000−ii−ii−i3i3−i3i3i−ii−ii3−i3i3−i30000000000000000
χ552-22-2-2-222-1000022-2-21-11-11-113−33−33−33−300−2i2i−2i2i2-22-200001-13−33−3-11-11-11-11-113−33−33−33−3−2i2i0000i−ii−ii3−i3i3−i3i−ii−ii3−i3i3−i30000000000000000
χ562-22-2-2-222-1000022-2-21-11-11-113−33−33−33−300−2i2i−2i2i-22-2200001-13−33−3-111-11-11-11-1−33−33−33−332i−2i0000i−ii−ii3−i3i3−i3−ii−ii−i3i3−i3i30000000000000000
χ572-22-2-2-222-1000022-2-21-11-11-11−33−33−33−33002i−2i2i−2i2-22-200001-1−33−33-11-11-11-11-11−33−33−33−332i−2i0000−ii−iii3−i3i3−i3−ii−iii3−i3i3−i30000000000000000
χ582-22-2-2-222-1000022-2-21-11-11-11−33−33−33−33002i−2i2i−2i-22-2200001-1−33−33-111-11-11-11-13−33−33−33−3−2i2i0000−ii−iii3−i3i3−i3i−ii−i−i3i3−i3i30000000000000000
χ592-22-2-2-222-1000022-2-21-11-11-11−33−33−33−3300−2i2i−2i2i2-22-200001-1−33−33-11-11-11-11-11−33−33−33−33−2i2i0000i−ii−i−i3i3−i3i3i−ii−i−i3i3−i3i30000000000000000
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χ612-2-2-222-2222-22-22-2-22-2-2-2-22222-2-222-2-222-200000000000022-222-2-2-2000000000000000000000000000000000000000000002-22-2000000
χ622-2-2-222-2222-22-22-2-22-2-2-2-22222-2-222-2-222-200000000000022-222-2-2-200000000000000000000000000000000000000000000-22-22000000
χ632-2-2-222-2222-22-2-222-2-2-2-2-22222-2-222-2-22-222-2-2200000000-2-22-2-22220000000000000000002-2002-2-222-2-22000000000000000000000000
χ642-2-2-222-2222-22-2-222-2-2-2-2-22222-2-222-2-22-22-222-200000000-2-22-2-2222000000000000000000-2200-222-2-222-2000000000000000000000000
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χ8344-44-4-4-44400004-44-44-44-4-44-40000000000000000000000-440000-44000000000000000000000000000000000000000000000000000000
χ8444-44-4-4-44-200004-44-4-22-222-222323−23−232323−23−23000000000000002-2−23−2323232-2000000000000000000000000000000000000000000000000000000
χ8544-44-4-4-44-200004-44-4-22-222-22−23−232323−23−232323000000000000002-22323−23−232-2000000000000000000000000000000000000000000000000000000
χ8644-4-4-444-44000000004-4-44-4-44000000000000000000−2i22i22i2−2i20000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000
χ8744-4-4-444-44000000004-4-44-4-440000000000000000002i2−2i2−2i22i200000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000
χ8844-4-4-444-4-200000000-222-222-22323−23−23−23−2323230000000000−2i22i22i2−2i200000000i6i6−i6−i6−i6−i6i6i6i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000000000
χ8944-4-4-444-4-200000000-222-222-22323−23−23−23−23232300000000002i2−2i2−2i22i200000000−i6−i6i6i6i6i6−i6−i6−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000000000
χ9044-4-4-444-4-200000000-222-222-2−23−2323232323−23−230000000000−2i22i22i2−2i200000000−i6−i6i6i6i6i6−i6−i6i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000000000
χ9144-4-4-444-4-200000000-222-222-2−23−2323232323−23−2300000000002i2−2i2−2i22i200000000i6i6−i6−i6−i6−i6i6i6−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000000000
χ924-444-44-4-4400000000-444-4-4-440000000000000022−22−222200000000000022−2222−22−2222−22220000000000000000000000000000000000000000000000
χ934-444-44-4-4400000000-444-4-4-4400000000000000−222222−22000000000000−2222−222222−2222−220000000000000000000000000000000000000000000000
χ944-444-44-4-4-2000000002-2-2222-223−2323−23−2323−232300000022−22−2222000000000000−22−222−22−26−66−6−66−6600000000000000000000000000000000000000
χ954-444-44-4-4-2000000002-2-2222-223−2323−23−2323−2323000000−222222−220000000000002−22−2−22−22−66−666−66−600000000000000000000000000000000000000
χ964-444-44-4-4-2000000002-2-2222-2−2323−232323−2323−2300000022−22−2222000000000000−22−222−22−2−66−666−66−600000000000000000000000000000000000000
χ974-444-44-4-4-2000000002-2-2222-2−2323−232323−2323−23000000−222222−220000000000002−22−2−22−226−66−6−66−6600000000000000000000000000000000000000
χ984-44-4-4-44440000-4-444-44-44-44-400000000000000000000004-40000-44000000000000000000000000000000000000000000000000000000
χ994-44-4-4-444-20000-4-4442-22-22-2223−2323−2323−2323−2300000000000000-22−2323−23232-2000000000000000000000000000000000000000000000000000000
χ1004-44-4-4-444-20000-4-4442-22-22-22−2323−2323−2323−232300000000000000-2223−2323−232-2000000000000000000000000000000000000000000000000000000
χ1014-4-444-44-444-4-440000-4-4444-4-44-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-444-44-44-444-40000-4-4444-4-4-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-444-44-4-24-4-44000022-2-2-222-222-22-2-220000000000000000000000i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000000000
χ1044-4-444-44-4-24-4-44000022-2-2-222-222-22-2-220000000000000000000000−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000000000
χ1054-4-444-44-4-2-444-4000022-2-2-2222-2-22-222-20000000000000000000000i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000000000
χ1064-4-444-44-4-2-444-4000022-2-2-2222-2-22-222-20000000000000000000000−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000000000
χ1074-4-4-444-44-24-44-44-4-442222-2-2-2-222-2-222-24-4000000000000-2-22-2-2222000000000000000000000000000000000000000000000000000000
χ1084-4-4-444-44-2-44-444-4-442222-2-2-22-2-222-2-22-44000000000000-2-2-222-222000000000000000000000000000000000000000000000000000000

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