Finite Group Databasebeta

← Group #10826293

Character table — Group #10826293

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444444488888888888888888888888812121212121212121212121216161616161624242424242424242424
order1222222234444444466666662244441212121212121212222444666666661212121212121212121244448888888844121212122222448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111-1-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-111111111-111-11111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-111111111-111-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ811111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1
χ91111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-1-1-11111-1-1
χ101111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-11111-1-1-1-111
χ111111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-11-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-11-1-1111111-1-111-1-1
χ131111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-111-1-111-1-1-1-111
χ141111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-11111-1-1
χ151111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111111-111-1-1-1-111-1-111-1-1
χ161111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-111
χ17222222222-22222-2-2-22222222-2-22222-2-2-2-22222-200-200-2-2-2-2000022-2-22200000000000000000000000000000000
χ18222222222-22222-2-2-22222222-2-2-2-2-2-2-2-2-2-22222200200-2-2220000-2-222-2-200000000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2200-2002222000022-2-2-2-200000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222222-2-222-2-2-2-2-2-2-2-2-20020022-2-20000-2-2222200000000000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000000000
χ2222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-2-22-2-2-1-1-1-11111-1-1-1-1-1-11111000000000000-2-211110000000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-222-222-1-111-1-1-1-1111111-1-1-1-1000000000000-2-211110000000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1111111111111111100000000000022-1-1-1-10000000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-222-2-2-1-1-1-11111-2222-2-21111-1-1-1-1-1-1-1-11111110000000000002-2-1-1110000000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-222-2-2-1-1-1-11111-2-2-222211111111-1-1-1-111-1-1-1-1000000000000-2211-1-10000000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-11111222-2-2-211-1-1-1-1-1-11111-1-11111000000000000-2211-1-10000000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-111112-2-2-22211-1-111111111-1-1-1-1-1-10000000000002-2-1-1110000000000
χ2922222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-222221111-1-1-1-1-200-2001111−i3−i3i3i3-1-111-1-1−i3−i3i3i300000000000000−i3i3−i3i30000000000
χ3022222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-222221111-1-1-1-1-200-2001111i3i3−i3−i3-1-111-1-1i3i3−i3−i300000000000000i3−i3i3−i30000000000
χ3122222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-120020011-1-1−i3−i3i3i311-1-111−i3−i3i3i300000000000000i3−i3i3−i30000000000
χ3222222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-120020011-1-1i3i3−i3−i311-1-111i3i3−i3−i300000000000000−i3i3−i3i30000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-211111111200-200-1-1-1-1−i3−i3i3i3-1-11111i3i3−i3−i300000000000000−i3i3i3−i30000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-211111111200-200-1-1-1-1i3i3−i3−i3-1-11111−i3−i3i3i300000000000000i3−i3−i3i30000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-22211111111-200200-1-111−i3−i3i3i311-1-1-1-1i3i3−i3−i300000000000000i3−i3−i3i30000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-22211111111-200200-1-111i3i3−i3−i311-1-1-1-1−i3−i3i3i300000000000000−i3i3i3−i30000000000
χ3722-222-2-2-2202i2i−2i−2i0002-22-22-2-2002-22i−2i00002i2i−2i−2i000000000000002-2002i−2i00000000−i2−i2i2i222−2−2000000000000−i2i22−2
χ3822-222-2-2-2202i2i−2i−2i0002-22-22-2-2002-22i−2i00002i2i−2i−2i000000000000002-2002i−2i00000000i2i2−i2−i2−2−222000000000000i2−i2−22
χ3922-222-2-2-2202i2i−2i−2i0002-22-22-2-200-22−2i2i00002i2i−2i−2i00000000000000-2200−2i2i00000000−i2−i2i2i222−2−2000000000000i2−i2−22
χ4022-222-2-2-2202i2i−2i−2i0002-22-22-2-200-22−2i2i00002i2i−2i−2i00000000000000-2200−2i2i00000000i2i2−i2−i2−2−222000000000000−i2i22−2
χ4122-222-2-2-220−2i−2i2i2i0002-22-22-2-2002-2−2i2i0000−2i−2i2i2i000000000000002-200−2i2i00000000−i2−i2i2i2−2−222000000000000−i2i2−22
χ4222-222-2-2-220−2i−2i2i2i0002-22-22-2-2002-2−2i2i0000−2i−2i2i2i000000000000002-200−2i2i00000000i2i2−i2−i222−2−2000000000000i2−i22−2
χ4322-222-2-2-220−2i−2i2i2i0002-22-22-2-200-222i−2i0000−2i−2i2i2i00000000000000-22002i−2i00000000−i2−i2i2i2−2−222000000000000i2−i22−2
χ4422-222-2-2-220−2i−2i2i2i0002-22-22-2-200-222i−2i0000−2i−2i2i2i00000000000000-22002i−2i00000000i2i2−i2−i222−2−2000000000000−i2i2−22
χ4522-2-2-22-222-200002-222-2-2-2-22200000022-2-2000002-200000002-22-2000000000022-2-22-22-200000000000000000000
χ4622-2-2-22-222-200002-222-2-2-2-22200000022-2-2000002-200000002-22-20000000000-2-222-22-2200000000000000000000
χ4722-2-2-22-222-200002-222-2-2-2-22200000022-2-200000-220000000-22-22000000000022-2-2-22-2200000000000000000000
χ4822-2-2-22-222-200002-222-2-2-2-22200000022-2-200000-220000000-22-220000000000-2-2222-22-200000000000000000000
χ492-22-22-2-222-20000-222-22-2-22-220000002-22-2000000002-2000000000000002-22-22-22-200002-22-20000000000000000
χ502-22-22-2-222-20000-222-22-2-22-220000002-22-2000000002-2000000000000002-22-2-22-220000-22-220000000000000000
χ512-22-22-2-222-20000-222-22-2-22-220000002-22-200000000-2200000000000000-22-222-22-20000-22-220000000000000000
χ522-22-22-2-222-20000-222-22-2-22-220000002-22-200000000-2200000000000000-22-22-22-2200002-22-20000000000000000
χ532-2-22-2-222222-22-2-2-22-2-222-2-222-200002-2-222-22-20000002-200000000000000002-2-22000000000000002-200000000
χ542-2-22-2-222222-22-2-2-22-2-222-2-222-200002-2-222-22-20000002-20000000000000000-222-200000000000000-2200000000
χ552-2-22-2-22222-22-22-2-22-2-222-2-22-2200002-2-22-22-22000000-2200000000000000002-2-2200000000000000-2200000000
χ562-2-22-2-22222-22-22-2-22-2-222-2-22-2200002-2-22-22-22000000-220000000000000000-222-2000000000000002-200000000
χ572-2-22-2-2222-22-22-222-2-2-222-2-22-220000-222-22-22-2000000-220000000000000000000000000000000000002-22-20000
χ582-2-22-2-2222-22-22-222-2-2-222-2-22-220000-222-22-22-2000000-22000000000000000000000000000000000000-22-220000
χ592-2-22-2-2222-2-22-2222-2-2-222-2-222-20000-222-2-22-220000002-20000000000000000000000000000000000002-2-220000
χ602-2-22-2-2222-2-22-2222-2-2-222-2-222-20000-222-2-22-220000002-2000000000000000000000000000000000000-222-20000
χ61444-4-4-44-440000000044-44-4-4-4000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ62444-4-4-44-440000000044-44-4-4-40000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ6344-444-4-4-4-204i4i−4i−4i000-22-22-222004-44i−4i0000−2i−2i2i2i00000000000000-2200−2i2i00000000000000000000000000000000
χ6444-444-4-4-4-204i4i−4i−4i000-22-22-22200-44−4i4i0000−2i−2i2i2i000000000000002-2002i−2i00000000000000000000000000000000
χ6544-444-4-4-4-20−4i−4i4i4i000-22-22-222004-4−4i4i00002i2i−2i−2i00000000000000-22002i−2i00000000000000000000000000000000
χ6644-444-4-4-4-20−4i−4i4i4i000-22-22-22200-444i−4i00002i2i−2i−2i000000000000002-200−2i2i00000000000000000000000000000000
χ6744-4-4-44-44440000-44-44-4-4-4-444000000-4-44400000000000000000000000000000000000000000000000000000000
χ6844-4-4-44-44-240000-44-4-22222-2-200000022-2-200000000000000−2i32i32i3−2i300000000000000000000000000000000000000
χ6944-4-4-44-44-240000-44-4-22222-2-200000022-2-2000000000000002i3−2i3−2i32i300000000000000000000000000000000000000
χ7044-4-4-44-44-2-400004-44-22222-2-2000000-2-222000004-40000000-22-2200000000000000000000000000000000000000
χ7144-4-4-44-44-2-400004-44-22222-2-2000000-2-22200000-4400000002-22-200000000000000000000000000000000000000
χ724-444-44-4-4404i−4i−4i4i000-444-4-44-400000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ734-444-44-4-440−4i4i4i−4i000-444-4-44-40000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ744-444-44-4-4-204i−4i−4i4i0002-2-222-220000000000−2i2i2i−2i00000000−2i32i300000023−230000000000000000000000000000000000
χ754-444-44-4-4-204i−4i−4i4i0002-2-222-220000000000−2i2i2i−2i000000002i3−2i3000000−23230000000000000000000000000000000000
χ764-444-44-4-4-20−4i4i4i−4i0002-2-222-2200000000002i−2i−2i2i00000000−2i32i3000000−23230000000000000000000000000000000000
χ774-444-44-4-4-20−4i4i4i−4i0002-2-222-2200000000002i−2i−2i2i000000002i3−2i300000023−230000000000000000000000000000000000
χ784-44-44-4-444400004-4-4-44-4-44-44000000-44-4400000000000000000000000000000000000000000000000000000000
χ794-44-44-4-44-2400004-4-42-222-22-20000002-22-2000000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ804-44-44-4-44-2400004-4-42-222-22-20000002-22-20000000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ814-44-44-4-44-2-40000-4442-222-22-2000000-22-22000000004-400000000000000-22-220000000000000000000000000000
χ824-44-44-4-44-2-40000-4442-222-22-2000000-22-2200000000-44000000000000002-22-20000000000000000000000000000
χ834-4-44-4-444-244-44-4-4-4422-2-222-24-40000-222-2-22-22000000-2200000000000000000000000000000000000000000000
χ844-4-44-4-444-24-44-44-4-4422-2-222-2-440000-222-22-22-20000002-200000000000000000000000000000000000000000000
χ854-4-44-4-444-2-44-44-444-422-2-222-2-4400002-2-22-22-220000002-200000000000000000000000000000000000000000000
χ864-4-44-4-444-2-4-44-4444-422-2-222-24-400002-2-222-22-2000000-2200000000000000000000000000000000000000000000
χ874-4-4-4444-4400000000-4-4-4444-4000000000000000000000000000000000000000000000022−22−22220000000000000000
χ884-4-4-4444-4400000000-4-4-4444-40000000000000000000000000000000000000000000000−222222−220000000000000000
χ89888-8-8-88-8-400000000-4-44-4444000000000000000000000000000000000000000000000000000000000000000000
χ908-8-8-8888-8-400000000444-4-4-44000000000000000000000000000000000000000000000000000000000000000000

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