Finite Group Databasebeta

← Group #10858340

Character table — Group #10858340

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444444444444444444444448888121212121212121216161616161616161616242424242424242424242424
order122222223444444446666666448888888812121212121212121212121224242424242424242424242424242424444444444444441212121212121212444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-11-1-1111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-11111
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1111-1-1-1-111111-1-1-1-1-1-1-111
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1111-1-1-1-111-1-1-11111111-1-1
χ11111111111-1-1-1-111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-11-1-1-11111-1-111
χ12111111111-1-1-1-111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-11111-1-1-1111-1-1-1-111-1-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111111-11111-1-1-1-11-1-1-1-1-11111-1-1
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11-11111-1-1-1-1-111111-1-1-1-111
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-11-1-1-1-11111111-111-1-111-1-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-11-1-1-1-11111-1-1-11-1-111-1-111
χ172222222222222-2-2-2-22222222-2-200000000-2-22222-2-2-2-2-2-200000000000000000000222200000000000000-200-200000000
χ182222222222222-2-2-2-22222222-2-200000000-2-22222-2-2-2-2-2-200000000000000000000-2-2-2-200000000000000200200000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-22222-2-20000000000000000000022-2-200000000000000-200200000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-22222-2-200000000000000000000-2-22200000000000000200-200000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000000022-1-1-1-1-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-211111111000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111222200000000-2-2-1-111-1-111000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2000000002211-1-111-1-1000000000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-11111111122-2-200000000-22-1-11111-1-1000000000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-111111111-2-222000000002-211-1-1-1-111000000000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-122-2-2000000002-2-1-1-1-11111000000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-1-2-22200000000-221111-1-1-1-1000000000000
χ29222-2-2-22-22000022-2-222-22-2-2-20022-2-200002-2000000002-22222-2-2-2-2000000000000000022-2-2000000000002-2000000000
χ30222-2-2-22-22000022-2-222-22-2-2-20022-2-200002-2000000002-22222-2-2-2-20000000000000000-2-22200000000000-22000000000
χ31222-2-2-22-22000022-2-222-22-2-2-200-2-22200002-2000000002-2-2-2-2-22222000000000000000022-2-200000000000-22000000000
χ32222-2-2-22-22000022-2-222-22-2-2-200-2-22200002-2000000002-2-2-2-2-222220000000000000000-2-222000000000002-2000000000
χ3322-222-2-2-2222-2-200002-22-22-2-2002−22−222−2−20022-2-200000022−2−222−2−22222−2−2−2−200002-22-200000000000000000000002−22−2
χ3422-222-2-2-2222-2-200002-22-22-2-2002−22−222−2−20022-2-200000022−2−222−2−22222−2−2−2−20000-22-220000000000000000000000−22−22
χ3522-222-2-2-2222-2-200002-22-22-2-200−22−22−2−2220022-2-2000000−2−222−2−222−2−2−2−2222200002-22-20000000000000000000000−22−22
χ3622-222-2-2-2222-2-200002-22-22-2-200−22−22−2−2220022-2-2000000−2−222−2−222−2−2−2−222220000-22-2200000000000000000000002−22−2
χ3722-222-2-2-22-2-22200002-22-22-2-2002−22−2−2−22200-2-22200000022−2−222−2−2−2−2−2−2222200002-2-220000000000000000000000−222−2
χ3822-222-2-2-22-2-22200002-22-22-2-2002−22−2−2−22200-2-22200000022−2−222−2−2−2−2−2−222220000-222-200000000000000000000002−2−22
χ3922-222-2-2-22-2-22200002-22-22-2-200−22−2222−2−200-2-222000000−2−222−2−2222222−2−2−2−200002-2-2200000000000000000000002−2−22
χ4022-222-2-2-22-2-22200002-22-22-2-200−22−2222−2−200-2-222000000−2−222−2−2222222−2−2−2−20000-222-20000000000000000000000−222−2
χ412-2-22-222-222i−2i2i−2i2-2-22-2-222-22-22i−2i000000002-22i−2i2i−2i2i2i−2i−2i-2200000000000000002-22i−2i00000000002-2002i−2i00000000000000
χ422-2-22-222-222i−2i2i−2i2-2-22-2-222-22-22i−2i000000002-22i−2i2i−2i2i2i−2i−2i-220000000000000000-22−2i2i0000000000-2200−2i2i00000000000000
χ432-2-22-222-222i−2i2i−2i-222-2-2-222-22-2−2i2i00000000-222i−2i2i−2i−2i−2i2i2i2-20000000000000000000000002-22-2000000000000002i−2i000000
χ442-2-22-222-222i−2i2i−2i-222-2-2-222-22-2−2i2i00000000-222i−2i2i−2i−2i−2i2i2i2-2000000000000000000000000-22-2200000000000000−2i2i000000
χ452-2-22-222-22−2i2i−2i2i2-2-22-2-222-22-2−2i2i000000002-2−2i2i−2i2i−2i−2i2i2i-2200000000000000002-2−2i2i00000000002-200−2i2i00000000000000
χ462-2-22-222-22−2i2i−2i2i2-2-22-2-222-22-2−2i2i000000002-2−2i2i−2i2i−2i−2i2i2i-220000000000000000-222i−2i0000000000-22002i−2i00000000000000
χ472-2-22-222-22−2i2i−2i2i-222-2-2-222-22-22i−2i00000000-22−2i2i−2i2i2i2i−2i−2i2-20000000000000000000000002-22-200000000000000−2i2i000000
χ482-2-22-222-22−2i2i−2i2i-222-2-2-222-22-22i−2i00000000-22−2i2i−2i2i2i2i−2i−2i2-2000000000000000000000000-22-22000000000000002i−2i000000
χ492-2-22-222-2-12i−2i2i−2i2-2-2211-1-11-112i−2i00000000-11−ii−ii−i−iii1-13−33−33−33−3−i3−i3i3i3−i3−i3i3i32-22i−2i0000000000-11−i3i3−ii3−3000000000000
χ502-2-22-222-2-12i−2i2i−2i2-2-2211-1-11-112i−2i00000000-11−ii−ii−i−iii1-13−33−33−33−3−i3−i3i3i3−i3−i3i3i3-22−2i2i00000000001-1i3−i3i−i−33000000000000
χ512-2-22-222-2-12i−2i2i−2i2-2-2211-1-11-112i−2i00000000-11−ii−ii−i−iii1-1−33−33−33−33i3i3−i3−i3i3i3−i3−i32-22i−2i0000000000-11i3−i3−ii−33000000000000
χ522-2-22-222-2-12i−2i2i−2i2-2-2211-1-11-112i−2i00000000-11−ii−ii−i−iii1-1−33−33−33−33i3i3−i3−i3i3i3−i3−i3-22−2i2i00000000001-1−i3i3i−i3−3000000000000
χ532-2-22-222-2-1−2i2i−2i2i2-2-2211-1-11-11−2i2i00000000-11i−ii−iii−i−i1-13−33−33−33−3i3i3−i3−i3i3i3−i3−i32-2−2i2i0000000000-11i3−i3i−i3−3000000000000
χ542-2-22-222-2-1−2i2i−2i2i2-2-2211-1-11-11−2i2i00000000-11i−ii−iii−i−i1-13−33−33−33−3i3i3−i3−i3i3i3−i3−i3-222i−2i00000000001-1−i3i3−ii−33000000000000
χ552-2-22-222-2-1−2i2i−2i2i2-2-2211-1-11-11−2i2i00000000-11i−ii−iii−i−i1-1−33−33−33−33−i3−i3i3i3−i3−i3i3i32-2−2i2i0000000000-11−i3i3i−i−33000000000000
χ562-2-22-222-2-1−2i2i−2i2i2-2-2211-1-11-11−2i2i00000000-11i−ii−iii−i−i1-1−33−33−33−33−i3−i3i3i3−i3−i3i3i3-222i−2i00000000001-1i3−i3−ii3−3000000000000
χ572-2-2-22-22220000-22-22-2-2-222-220000002-22-2-2-20000000022000000002-22-22-22-2000000002-2-2200000000000000002-20000
χ582-2-2-22-22220000-22-22-2-2-222-220000002-22-2-2-20000000022000000002-22-22-22-200000000-222-20000000000000000-220000
χ592-2-2-22-22220000-22-22-2-2-222-22000000-22-22-2-2000000002200000000-22-22-22-22000000002-2-220000000000000000-220000
χ602-2-2-22-22220000-22-22-2-2-222-22000000-22-22-2-2000000002200000000-22-22-22-2200000000-222-200000000000000002-20000
χ6144444444-24444-4-4-4-4-2-2-2-2-2-2-2-4-40000000022-2-2-2-222222200000000000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24400000000222222-2-2-2-22200000000000000000000000000000000000000000000000000
χ63444-4-4-44-440000-4-44444-44-4-4-40000000000-4400000000-4400000000000000000000000000000000000000000000000000
χ64444-4-4-44-4-2000044-4-4-2-22-22220044-4-40000-2200000000-22-2-2-2-22222000000000000000000000000000000000000000000
χ65444-4-4-44-4-2000044-4-4-2-22-222200-4-4440000-2200000000-222222-2-2-2-2000000000000000000000000000000000000000000
χ66444-4-4-44-4-20000-4-444-2-22-222200000000002-2000000002-200000000−2i32i32i3−2i3−2i32i32i3−2i30000000000000000000000000000000000
χ67444-4-4-44-4-20000-4-444-2-22-222200000000002-2000000002-2000000002i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000
χ6844-444-4-4-4-244-4-40000-22-22-2220022−2222−222222−22−2200-2-222000000−2−222−2−222−2−2−2−222220000000000000000000000000000000000
χ6944-444-4-4-4-244-4-40000-22-22-22200−2222−2222−22−22222200-2-22200000022−2−222−2−22222−2−2−2−20000000000000000000000000000000000
χ7044-444-4-4-4-2-4-4440000-22-22-2220022−2222−22−22−2222220022-2-2000000−2−222−2−2222222−2−2−2−20000000000000000000000000000000000
χ7144-444-4-4-4-2-4-4440000-22-22-22200−2222−22222222−22−220022-2-200000022−2−222−2−2−2−2−2−222220000000000000000000000000000000000
χ7244-4-4-44-444000000004-4-4-4-4440022−22−222200000000000000002222−22−22−22−222222000000000000000000000000000000000000000000
χ7344-4-4-44-444000000004-4-4-4-44400−222222−220000000000000000−22−2222222222−22−22000000000000000000000000000000000000000000
χ7444-4-4-44-44-200000000-22222-2-20022−22−22220000000000−2i32i3−2i32i300−2−22222−2−2i6−i6−i6i6−i6i6i6−i60000000000000000000000000000000000
χ7544-4-4-44-44-200000000-22222-2-20022−22−222200000000002i3−2i32i3−2i300−2−22222−2−2−i6i6i6−i6i6−i6−i6i60000000000000000000000000000000000
χ7644-4-4-44-44-200000000-22222-2-200−222222−220000000000−2i32i3−2i32i30022−2−2−2−222−i6i6i6−i6i6−i6−i6i60000000000000000000000000000000000
χ7744-4-4-44-44-200000000-22222-2-200−222222−2200000000002i3−2i32i3−2i30022−2−2−2−222i6−i6−i6i6−i6i6i6−i60000000000000000000000000000000000
χ784-444-4-4-4444i−4i−4i4i0000-444-4-4-440000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ794-444-4-4-444−4i4i4i−4i0000-444-4-4-44000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ804-444-4-4-44-24i−4i−4i4i00002-2-2222-2000000000000−2i2i2i−2i0000006−6−666−6−66−i6−i6i6i6i6i6−i6−i60000000000000000000000000000000000
χ814-444-4-4-44-24i−4i−4i4i00002-2-2222-2000000000000−2i2i2i−2i000000−666−6−666−6i6i6−i6−i6−i6−i6i6i60000000000000000000000000000000000
χ824-444-4-4-44-2−4i4i4i−4i00002-2-2222-20000000000002i−2i−2i2i0000006−6−666−6−66i6i6−i6−i6−i6−i6i6i60000000000000000000000000000000000
χ834-444-4-4-44-2−4i4i4i−4i00002-2-2222-20000000000002i−2i−2i2i000000−666−6−666−6−i6−i6i6i6i6i6−i6−i60000000000000000000000000000000000
χ844-44-444-4-4400000000-44-4-444-400000022−22−22220000000000000000000022−2222−22−2222−22220000000000000000000000000000000000
χ854-44-444-4-4400000000-44-4-444-4000000−222222−2200000000000000000000−2222−222222−2222−220000000000000000000000000000000000
χ864-44-444-4-4-2000000002-222-2-2200000022−22−222200000023−23−232300−666−66−6−66−22−222−22−20000000000000000000000000000000000
χ874-44-444-4-4-2000000002-222-2-2200000022−22−2222000000−232323−23006−6−66−666−6−22−222−22−20000000000000000000000000000000000
χ884-44-444-4-4-2000000002-222-2-22000000−222222−2200000023−23−2323006−6−66−666−62−22−2−22−220000000000000000000000000000000000
χ894-44-444-4-4-2000000002-222-2-22000000−222222−22000000−232323−2300−666−66−6−662−22−2−22−220000000000000000000000000000000000
χ904-4-44-444-4-24i−4i4i−4i-444-422-2-22-22−4i4i000000002-2−2i2i−2i2i2i2i−2i−2i-2200000000000000000000000000000000000000000000000000
χ914-4-44-444-4-2−4i4i−4i4i-444-422-2-22-224i−4i000000002-22i−2i2i−2i−2i−2i2i2i-2200000000000000000000000000000000000000000000000000
χ924-4-4-44-444400004-44-4-4-4-444-4400000000004400000000-4-400000000000000000000000000000000000000000000000000
χ934-4-4-44-444-200004-44-4222-2-22-20000000000-2-2000000002223−2323−23−2323−2323000000000000000000000000000000000000000000
χ944-4-4-44-444-200004-44-4222-2-22-20000000000-2-20000000022−2323−232323−2323−23000000000000000000000000000000000000000000
χ954-4-4-44-444-20000-44-44222-2-22-20000004-44-42200000000-2-200000000-22-22-22-220000000000000000000000000000000000
χ964-4-4-44-444-20000-44-44222-2-22-2000000-44-442200000000-2-2000000002-22-22-22-20000000000000000000000000000000000

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