Finite Group Databasebeta

← Group #10944157

Character table — Group #10944157

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222244444444444444444444888888888888888888888812121212121212121212121212121212161616161616242424244848
order122222223444466666664444444444441212121212121212888812121212121212121212242424242424242422222244444444444412121212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111111111-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111
χ911111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-11-111-1-111-1-11-1
χ1011111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111-111-1-1-1-111-11
χ1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1-11-1-111-1-111-11
χ1211111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-11-1-11111-1-11-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-11-1-111-1-1111-1
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-11-1-11111-1-1-11
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1111-111-1-111-1-1-11
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-11-111-1-1-1-1111-1
χ17222222222-2-2-2-22222222220000-2-200002222-2-2-2-20000-2-20000000000000000000022-2-2-2-2000022000000000000
χ18222222222-2-2-2-22222222220000-2-200002222-2-2-2-20000-2-200000000000000000000-2-222220000-2-2000000000000
χ19222222222-2-2-2-22222222-2-20000220000-2-2-2-2-2-2-2-2000022000000000000000000002222-2-20000-2-2000000000000
χ20222222222-2-2-2-22222222-2-20000220000-2-2-2-2-2-2-2-200002200000000000000000000-2-2-2-222000022000000000000
χ2122222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-1000000
χ2222222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-21111000000
χ2322222222-12222-1-1-1-1-1-1-122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-12222-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-21111000000
χ2422222222-12222-1-1-1-1-1-1-122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111111111111000000000000000022-1-1-1-1000000
χ2522222222-12222-1-1-1-1-1-1-1-2-22222-2-2-2-2-2-21111-1-1-1-122-2-2111111-1-1-1-1-1-1-1-1111100000000000000002-2-1-111000000
χ2622222222-12222-1-1-1-1-1-1-1-2-22222-2-2-2-2-2-21111-1-1-1-1-2-222111111-1-1-1-11111-1-1-1-10000000000000000-2211-1-1000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111-1-1-1-122-2-211-1-1-1-11111-1-1-1-111110000000000000000-2211-1-1000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111-1-1-1-1-2-22211-1-1-1-111111111-1-1-1-100000000000000002-2-1-111000000
χ29222-2-22-2-222-22-222-2-2-2-222i−2i00002i−2i00002i2i−2i−2i2-22-200002i−2i000000000000000022-2-20000002i2i−2i−2i00000000000000
χ30222-2-22-2-222-22-222-2-2-2-222i−2i00002i−2i00002i2i−2i−2i2-22-200002i−2i0000000000000000-2-222000000−2i−2i2i2i00000000000000
χ31222-2-22-2-222-22-222-2-2-2-22−2i2i0000−2i2i0000−2i−2i2i2i2-22-20000−2i2i000000000000000022-2-2000000−2i−2i2i2i00000000000000
χ32222-2-22-2-222-22-222-2-2-2-22−2i2i0000−2i2i0000−2i−2i2i2i2-22-20000−2i2i0000000000000000-2-2220000002i2i−2i−2i00000000000000
χ33222-2-22-2-22-22-2222-2-2-2-222i−2i22-2-2−2i2i2i2i−2i−2i2i2i−2i−2i-22-220000−2i2i2i2i−2i−2i22-2-2000000000000000000000000000000000000
χ34222-2-22-2-22-22-2222-2-2-2-222i−2i-2-222−2i2i−2i−2i2i2i2i2i−2i−2i-22-220000−2i2i−2i−2i2i2i-2-222000000000000000000000000000000000000
χ35222-2-22-2-22-22-2222-2-2-2-22−2i2i22-2-22i−2i−2i−2i2i2i−2i−2i2i2i-22-2200002i−2i−2i−2i2i2i22-2-2000000000000000000000000000000000000
χ36222-2-22-2-22-22-2222-2-2-2-22−2i2i-2-2222i−2i2i2i−2i−2i−2i−2i2i2i-22-2200002i−2i2i2i−2i−2i-2-222000000000000000000000000000000000000
χ37222-2-22-2-2-1-22-22-1-11111-12i−2i22-2-2−2i2i2i2i−2i−2i−i−iii1-11-10000i−i−i−iii-1-11133−3−3−i3−i3i3i30000000000000000003−3−i3i3000000
χ38222-2-22-2-2-1-22-22-1-11111-12i−2i22-2-2−2i2i2i2i−2i−2i−i−iii1-11-10000i−i−i−iii-1-111−3−333i3i3−i3−i3000000000000000000−33i3−i3000000
χ39222-2-22-2-2-1-22-22-1-11111-12i−2i-2-222−2i2i−2i−2i2i2i−i−iii1-11-10000i−iii−i−i11-1-133−3−3−i3−i3i3i3000000000000000000−33i3−i3000000
χ40222-2-22-2-2-1-22-22-1-11111-12i−2i-2-222−2i2i−2i−2i2i2i−i−iii1-11-10000i−iii−i−i11-1-1−3−333i3i3−i3−i30000000000000000003−3−i3i3000000
χ41222-2-22-2-2-1-22-22-1-11111-1−2i2i22-2-22i−2i−2i−2i2i2iii−i−i1-11-10000−iiii−i−i-1-11133−3−3i3i3−i3−i30000000000000000003−3i3−i3000000
χ42222-2-22-2-2-1-22-22-1-11111-1−2i2i22-2-22i−2i−2i−2i2i2iii−i−i1-11-10000−iiii−i−i-1-111−3−333−i3−i3i3i3000000000000000000−33−i3i3000000
χ43222-2-22-2-2-1-22-22-1-11111-1−2i2i-2-2222i−2i2i2i−2i−2iii−i−i1-11-10000−ii−i−iii11-1-133−3−3i3i3−i3−i3000000000000000000−33−i3i3000000
χ44222-2-22-2-2-1-22-22-1-11111-1−2i2i-2-2222i−2i2i2i−2i−2iii−i−i1-11-10000−ii−i−iii11-1-1−3−333−i3−i3i3i30000000000000000003−3i3−i3000000
χ452-2-22-222-2222-2-2-2-22-22-22000000002i−2i2i−2i000022-2-20000002i−2i2i−2i00000000000000002-2002-22i−2i2i−2i00000000000000
χ462-2-22-222-2222-2-2-2-22-22-22000000002i−2i2i−2i000022-2-20000002i−2i2i−2i0000000000000000-2200-22−2i2i−2i2i00000000000000
χ472-2-22-222-2222-2-2-2-22-22-2200000000−2i2i−2i2i000022-2-2000000−2i2i−2i2i00000000000000002-2002-2−2i2i−2i2i00000000000000
χ482-2-22-222-2222-2-2-2-22-22-2200000000−2i2i−2i2i000022-2-2000000−2i2i−2i2i0000000000000000-2200-222i−2i2i−2i00000000000000
χ492-2-22-222-22-2-222-2-22-22-22002-22-20000000000-2-22200000000002-22-2000000002-22-22-200-22000000000000000000
χ502-2-22-222-22-2-222-2-22-22-22002-22-20000000000-2-22200000000002-22-200000000-22-22-22002-2000000000000000000
χ512-2-22-222-22-2-222-2-22-22-2200-22-220000000000-2-2220000000000-22-22000000002-22-2-22002-2000000000000000000
χ522-2-22-222-22-2-222-2-22-22-2200-22-220000000000-2-2220000000000-22-2200000000-22-222-200-22000000000000000000
χ532-2-2-222-2222-2-22-2-2-22-222002-2-2200000000002-2-2200000000002-2-22000000000000002-2002-2-222-2000000000000
χ542-2-2-222-2222-2-22-2-2-22-222002-2-2200000000002-2-2200000000002-2-2200000000000000-2200-222-2-22000000000000
χ552-2-2-222-2222-2-22-2-2-22-22200-222-200000000002-2-220000000000-222-2000000000000002-200-222-22-2000000000000
χ562-2-2-222-2222-2-22-2-2-22-22200-222-200000000002-2-220000000000-222-200000000000000-22002-2-22-22000000000000
χ572-2-2-222-222-222-2-2-2-22-222000000002-2-220000-222-20000002-2-220000000000002-2-2200-220000002-2000000000000
χ582-2-2-222-222-222-2-2-2-22-222000000002-2-220000-222-20000002-2-22000000000000-222-2002-2000000-22000000000000
χ592-2-2-222-222-222-2-2-2-22-22200000000-222-20000-222-2000000-222-20000000000002-2-22002-2000000-22000000000000
χ602-2-2-222-222-222-2-2-2-22-22200000000-222-20000-222-2000000-222-2000000000000-222-200-220000002-2000000000000
χ6144444444-2-4-4-4-4-2-2-2-2-2-2-2440000-4-40000-2-2-2-2222200002200000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-2-2-2-2-2-2-2-4-40000440000222222220000-2-200000000000000000000000000000000000000000000
χ63444-4-44-4-4-24-44-4-2-22222-24i−4i00004i−4i0000−2i−2i2i2i-22-220000−2i2i00000000000000000000000000000000000000000000
χ64444-4-44-4-4-24-44-4-2-22222-2−4i4i0000−4i4i00002i2i−2i−2i-22-2200002i−2i00000000000000000000000000000000000000000000
χ6544-444-4-4-4400004-444-4-4-40000000000000000000022−2200000000000022−2222−2200000000000000000000000000000000
χ6644-444-4-4-4400004-444-4-4-400000000000000000000−2222000000000000−2222−222200000000000000000000000000000000
χ6744-444-4-4-4-20000-22-2-2222000000000000−2i32i3−2i32i3000022−22000000000000−22−22i6−i6i6−i60000000000000000000000000000
χ6844-444-4-4-4-20000-22-2-2222000000000000−2i32i3−2i32i30000−22220000000000002−22−2−i6i6−i6i60000000000000000000000000000
χ6944-444-4-4-4-20000-22-2-22220000000000002i3−2i32i3−2i3000022−22000000000000−22−22−i6i6−i6i60000000000000000000000000000
χ7044-444-4-4-4-20000-22-2-22220000000000002i3−2i32i3−2i30000−22220000000000002−22−2i6−i6i6−i60000000000000000000000000000
χ7144-4-4-4-444400004-4-4-444-4000000000000000000000022−220000000000000022−22−22220000000000000000000000000000
χ7244-4-4-4-444400004-4-4-444-40000000000000000000000−222200000000000000−222222−220000000000000000000000000000
χ7344-4-4-4-444-20000-2222-2-2200000000000023−23−232300000022−220000000000−666−6−222−20000000000000000000000000000
χ7444-4-4-4-444-20000-2222-2-2200000000000023−23−2323000000−222200000000006−6−662−2−220000000000000000000000000000
χ7544-4-4-4-444-20000-2222-2-22000000000000−232323−2300000022−2200000000006−6−66−222−20000000000000000000000000000
χ7644-4-4-4-444-20000-2222-2-22000000000000−232323−23000000−22220000000000−666−62−2−220000000000000000000000000000
χ774-444-4-4-4440000-444-4-44-40000000000000000000000000000000000000000000000000000000000000000−2i22i20000
χ784-444-4-4-4440000-444-4-44-400000000000000000000000000000000000000000000000000000000000000002i2−2i20000
χ794-44-44-44-440000-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ804-44-44-44-440000-44-444-4-40000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ814-4-44-444-4-244-4-422-22-22-2000000004i−4i4i−4i0000-2-222000000−2i2i−2i2i0000000000000000000000000000000000000000
χ824-4-44-444-4-244-4-422-22-22-200000000−4i4i−4i4i0000-2-2220000002i−2i2i−2i0000000000000000000000000000000000000000
χ834-4-44-444-4-2-4-44422-22-22-2004-44-4000000000022-2-20000000000-22-22000000000000000000000000000000000000
χ844-4-44-444-4-2-4-44422-22-22-200-44-44000000000022-2-200000000002-22-2000000000000000000000000000000000000
χ854-4-4-444-44-24-4-44222-22-2-2004-4-440000000000-222-20000000000-222-2000000000000000000000000000000000000
χ864-4-4-444-44-24-4-44222-22-2-200-444-40000000000-222-200000000002-2-22000000000000000000000000000000000000
χ874-4-4-444-44-2-444-4222-22-2-2000000004-4-4400002-2-22000000-222-20000000000000000000000000000000000000000
χ884-4-4-444-44-2-444-4222-22-2-200000000-444-400002-2-220000002-2-220000000000000000000000000000000000000000
χ898-888-8-8-88-400004-4-444-440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-88-88-8-400004-44-4-4440000000000000000000000000000000000000000000000000000000000000000000000

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