Finite Group Databasebeta

← Group #10945152

Character table — Group #10945152

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order122222223444444446666666444444444412121212121212124444444488881212121212121212121224242424242424244444444444444412121212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11-1
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11-1-111-1-111-11
χ11111111111-1-1-1-111111111111-1-11111-1-1-1-1111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111-11
χ12111111111-1-1-1-111111111111-1-11111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-11-1-11111-1-11-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1-1-11
χ14111111111-1-1-1-111111111111-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-111-1-1-1-1111-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-1111-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-111-1-111-1-1-11
χ172222222222222-2-2-2-22222222-2-200000000-2-2-22222-22222222200000000-2-2000000000000-2-2-2-200000000000000000000
χ182222222222222-2-2-2-22222222-2-200000000-2-2-22222-2-2-2-2-2-2-2-2-200000000-2-2000000000000222200000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-22222-2-2-2-20000000022000000000000-2-22200000000000000000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2-2-2-2-22222000000002200000000000022-2-200000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000000022221111-1-11111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-21111-1-111111111111100000000000022-1-1-1-1000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-1-11111-10000000022-2-2111111-1-1-1-1-1-1-1-111110000000000002-2-1-111000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-1-11111-100000000-2-222111111-1-1-1-11111-1-1-1-1000000000000-2211-1-1000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-11111-10000000022-2-2-1-1-1-1111111-1-1-1-11111000000000000-2211-1-1000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-11111-100000000-2-222-1-1-1-11111111111-1-1-1-10000000000002-2-1-111000000
χ2922-2-222-2-2222-2-222-2-2-2-2-2-22222-20000000022-222-2-2-200000000000000002-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ3022-2-222-2-2222-2-222-2-2-2-2-2-22222-20000000022-222-2-2-200000000000000002-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ3122-2-222-2-2222-2-2-2-222-2-2-2-2222-2222-2-222-2-2-2-2222-2-2200000000000022-2-2-2222-2-200000000000000000000000000000000
χ3222-2-222-2-2222-2-2-2-222-2-2-2-2222-22-2-222-2-222-2-2222-2-22000000000000-2-222-22-2-22200000000000000000000000000000000
χ3322-2-222-2-22-2-22222-2-2-2-2-2-2222-220000000022-2-2-222-20000000000000000-2200000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ3422-2-222-2-22-2-22222-2-2-2-2-2-2222-220000000022-2-2-222-20000000000000000-220000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ3522-2-222-2-22-2-222-2-222-2-2-2-22222-222-2-2-2-222-2-22-2-2222000000000000-2-2222-222-2-200000000000000000000000000000000
χ3622-2-222-2-22-2-222-2-222-2-2-2-22222-2-2-22222-2-2-2-22-2-222200000000000022-2-22-2-2-22200000000000000000000000000000000
χ3722-2-222-2-2-122-2-2-2-2221111-1-1-1-2222-2-222-2-211-1-1-111-1000000000000-1-1111-1-1-111−i3−i3i3i3−i3−i3i3i300000000000000−i3i3−i3i3000000
χ3822-2-222-2-2-122-2-2-2-2221111-1-1-1-2222-2-222-2-211-1-1-111-1000000000000-1-1111-1-1-111i3i3−i3−i3i3i3−i3−i300000000000000i3−i3i3−i3000000
χ3922-2-222-2-2-122-2-2-2-2221111-1-1-1-22-2-222-2-22211-1-1-111-100000000000011-1-11-111-1-1−i3−i3i3i3−i3−i3i3i300000000000000i3−i3i3−i3000000
χ4022-2-222-2-2-122-2-2-2-2221111-1-1-1-22-2-222-2-22211-1-1-111-100000000000011-1-11-111-1-1i3i3−i3−i3i3i3−i3−i300000000000000−i3i3−i3i3000000
χ4122-2-222-2-2-1-2-222-2-2221111-1-1-12-222-2-2-2-22211-111-1-1-100000000000011-1-1-11-1-111−i3−i3i3i3i3i3−i3−i300000000000000−i3i3i3−i3000000
χ4222-2-222-2-2-1-2-222-2-2221111-1-1-12-222-2-2-2-22211-111-1-1-100000000000011-1-1-11-1-111i3i3−i3−i3−i3−i3i3i300000000000000i3−i3−i3i3000000
χ4322-2-222-2-2-1-2-222-2-2221111-1-1-12-2-2-22222-2-211-111-1-1-1000000000000-1-111-1111-1-1−i3−i3i3i3i3i3−i3−i300000000000000i3−i3−i3i3000000
χ4422-2-222-2-2-1-2-222-2-2221111-1-1-12-2-2-22222-2-211-111-1-1-1000000000000-1-111-1111-1-1i3i3−i3−i3−i3−i3i3i300000000000000−i3i3i3−i3000000
χ452-22-22-22-222i−2i2i−2i000022-2-2-2-2200000000000002i−2i2i−2i02i2i−2i−2i22-2-2−i2i22−20000000000−i2i2−i2i22−22−20000000000000000002−2−i2i200
χ462-22-22-22-222i−2i2i−2i000022-2-2-2-2200000000000002i−2i2i−2i02i2i−2i−2i22-2-2i2−i2−220000000000i2−i2i2−i2−22−22000000000000000000−22i2−i200
χ472-22-22-22-222i−2i2i−2i000022-2-2-2-2200000000000002i−2i2i−2i0−2i−2i2i2i-2-222−i2i22−20000000000−i2i2−i2i22−22−2000000000000000000−22i2−i200
χ482-22-22-22-222i−2i2i−2i000022-2-2-2-2200000000000002i−2i2i−2i0−2i−2i2i2i-2-222i2−i2−220000000000i2−i2i2−i2−22−220000000000000000002−2−i2i200
χ492-22-22-22-22−2i2i−2i2i000022-2-2-2-220000000000000−2i2i−2i2i02i2i−2i−2i-2-222−i2i2−220000000000−i2i2−i2i2−22−220000000000000000002−2i2−i200
χ502-22-22-22-22−2i2i−2i2i000022-2-2-2-220000000000000−2i2i−2i2i02i2i−2i−2i-2-222i2−i22−20000000000i2−i2i2−i22−22−2000000000000000000−22−i2i200
χ512-22-22-22-22−2i2i−2i2i000022-2-2-2-220000000000000−2i2i−2i2i0−2i−2i2i2i22-2-2−i2i2−220000000000−i2i2−i2i2−22−22000000000000000000−22−i2i200
χ522-22-22-22-22−2i2i−2i2i000022-2-2-2-220000000000000−2i2i−2i2i0−2i−2i2i2i22-2-2i2−i22−20000000000i2−i2i2−i22−22−20000000000000000002−2i2−i200
χ532-22-2-22-22200002-22-22-22-22-2-2002i−2i2i−2i00002-2-2000022i−2i2i−2i000000000000002i−2i2i−2i000000002i−2i002-22-20000000000000000
χ542-22-2-22-22200002-22-22-22-22-2-2002i−2i2i−2i00002-2-200002−2i2i−2i2i000000000000002i−2i2i−2i00000000−2i2i00-22-220000000000000000
χ552-22-2-22-22200002-22-22-22-22-2-200−2i2i−2i2i00002-2-2000022i−2i2i−2i00000000000000−2i2i−2i2i000000002i−2i00-22-220000000000000000
χ562-22-2-22-22200002-22-22-22-22-2-200−2i2i−2i2i00002-2-200002−2i2i−2i2i00000000000000−2i2i−2i2i00000000−2i2i002-22-20000000000000000
χ572-22-2-22-2220000-22-222-22-22-2-20000002-22-2-2220000-22i−2i2i−2i000000002-22-200000000000000−2i2i0000002i−2i2i−2i000000000000
χ582-22-2-22-2220000-22-222-22-22-2-20000002-22-2-2220000-2−2i2i−2i2i000000002-22-2000000000000002i−2i000000−2i2i−2i2i000000000000
χ592-22-2-22-2220000-22-222-22-22-2-2000000-22-22-2220000-22i−2i2i−2i00000000-22-2200000000000000−2i2i000000−2i2i−2i2i000000000000
χ602-22-2-22-2220000-22-222-22-22-2-2000000-22-22-2220000-2−2i2i−2i2i00000000-22-22000000000000002i−2i0000002i−2i2i−2i000000000000
χ612-2-22-222-2200002-2-22-22-222-2-20000002-2-222-220000-200002i−2i2i−2i00002-2-2200000000000000002i−2i2i−2i−2i2i0000000000000000
χ622-2-22-222-2200002-2-22-22-222-2-20000002-2-222-220000-20000−2i2i−2i2i00002-2-220000000000000000−2i2i−2i2i2i−2i0000000000000000
χ632-2-22-222-2200002-2-22-22-222-2-2000000-222-22-220000-200002i−2i2i−2i0000-222-200000000000000002i−2i−2i2i2i−2i0000000000000000
χ642-2-22-222-2200002-2-22-22-222-2-2000000-222-22-220000-20000−2i2i−2i2i0000-222-20000000000000000−2i2i2i−2i−2i2i0000000000000000
χ652-2-22-222-220000-222-2-22-222-2-2002i−2i−2i2i0000-22-20000200002i−2i2i−2i00000000002i−2i−2i2i0000000000−2i2i0000-222-2000000000000
χ662-2-22-222-220000-222-2-22-222-2-2002i−2i−2i2i0000-22-2000020000−2i2i−2i2i00000000002i−2i−2i2i00000000002i−2i00002-2-22000000000000
χ672-2-22-222-220000-222-2-22-222-2-200−2i2i2i−2i0000-22-20000200002i−2i2i−2i0000000000−2i2i2i−2i0000000000−2i2i00002-2-22000000000000
χ682-2-22-222-220000-222-2-22-222-2-200−2i2i2i−2i0000-22-2000020000−2i2i−2i2i0000000000−2i2i2i−2i00000000002i−2i0000-222-2000000000000
χ6944444444-24444-4-4-4-4-2-2-2-2-2-2-2-4-400000000222-2-2-2-22000000000000000022000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24400000000222222220000000000000000-2-2000000000000000000000000000000000000
χ714444-4-4-4-44000000004-4-44-44-40000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ724444-4-4-4-44000000004-4-44-44-4000000000000000000-444-400000000000000000000000000000000000000000000000000
χ7344-4-444-4-4-244-4-444-4-42222-2-2-24-400000000-2-22-2-22220000000000000000-22000000000000000000000000000000000000
χ7444-4-444-4-4-2-4-44444-4-42222-2-2-2-4400000000-2-2222-2-2200000000000000002-2000000000000000000000000000000000000
χ7544-4-4-4-444400000000-444-4-44-400000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ7644-4-4-4-444400000000-444-4-44-40000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ774-44-44-44-4-24i−4i4i−4i0000-2-22222-20000000000000−2i2i−2i2i000000000−2i22i222−220000000000i2−i2i2−i2−22−22000000000000000000000000
χ784-44-44-44-4-24i−4i4i−4i0000-2-22222-20000000000000−2i2i−2i2i0000000002i2−2i2−22220000000000−i2i2−i2i22−22−2000000000000000000000000
χ794-44-44-44-4-2−4i4i−4i4i0000-2-22222-200000000000002i−2i2i−2i000000000−2i22i2−22220000000000i2−i2i2−i22−22−2000000000000000000000000
χ804-44-44-44-4-2−4i4i−4i4i0000-2-22222-200000000000002i−2i2i−2i0000000002i2−2i222−220000000000−i2i2−i2i2−22−22000000000000000000000000
χ814-44-4-44-44-200004-44-4-22-22-222004i−4i4i−4i0000-2220000-2000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ824-44-4-44-44-200004-44-4-22-22-22200−4i4i−4i4i0000-2220000-20000000000000000002i−2i2i−2i00000000000000000000000000000000
χ834-44-4-44-44-20000-44-44-22-22-2220000004-44-42-2-200002000000000000-22-2200000000000000000000000000000000000000
χ844-44-4-44-44-20000-44-44-22-22-222000000-44-442-2-2000020000000000002-22-200000000000000000000000000000000000000
χ854-4-444-4-4444i−4i−4i4i0000-4-444-4-4400000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000
χ864-4-444-4-444−4i4i4i−4i0000-4-444-4-440000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000
χ874-4-444-4-44-24i−4i−4i4i000022-2-222-20000000000000−2i2i2i−2i000000000000000000000006−6−66i6−i6−i6i6000000000000000000000000
χ884-4-444-4-44-24i−4i−4i4i000022-2-222-20000000000000−2i2i2i−2i00000000000000000000000−666−6−i6i6i6−i6000000000000000000000000
χ894-4-444-4-44-2−4i4i4i−4i000022-2-222-200000000000002i−2i−2i2i000000000000000000000006−6−66−i6i6i6−i6000000000000000000000000
χ904-4-444-4-44-2−4i4i4i−4i000022-2-222-200000000000002i−2i−2i2i00000000000000000000000−666−6i6−i6−i6i6000000000000000000000000
χ914-4-44-444-4-200004-4-442-22-2-2220000004-4-44-22-200002000000000000-222-200000000000000000000000000000000000000
χ924-4-44-444-4-200004-4-442-22-2-222000000-444-4-22-2000020000000000002-2-2200000000000000000000000000000000000000
χ934-4-44-444-4-20000-444-42-22-2-222004i−4i−4i4i00002-220000-2000000000000000000−2i2i2i−2i00000000000000000000000000000000
χ944-4-44-444-4-20000-444-42-22-2-22200−4i4i4i−4i00002-220000-20000000000000000002i−2i−2i2i00000000000000000000000000000000
χ958888-8-8-8-8-400000000-444-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-8-888-4000000004-4-444-44000000000000000000000000000000000000000000000000000000000000000000000000

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