Finite Group Databasebeta

← Group #10877335

Character table — Group #10877335

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111111122222222222244448888888888888888888888888812121212121212121616161616161616242424242424242424242424
order122222223444466666661212121244444444448888121212122424242424242424224444441212121212121212444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111
χ51111111111111111111111111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1
χ61111111111111111111111111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111
χ71111111111111111111111111-1-11-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111-1-11-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111111111111111111-111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1
χ10111111111111111111111111-111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-111
χ11111111111111111111111111-111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111
χ12111111111111111111111111-111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1
χ13111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1
χ15111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1
χ16111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-111
χ17222222222-2-2-2-22222222-2-2-2-2200-2000000000022-2-20000000022-2-2-2-22200000000000000000000
χ18222222222-2-2-2-22222222-2-2-2-2200-2000000000022-2-200000000-2-22222-2-200000000000000000000
χ19222222222-2-2-2-22222222-2-2-2-2-20020000000000-2-222000000002222-2-2-2-200000000000000000000
χ20222222222-2-2-2-22222222-2-2-2-2-20020000000000-2-22200000000-2-2-2-2222200000000000000000000
χ2122222222-12222-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000000000
χ2222222222-12222-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-11111111100000000-1-1-1-11111000000000000
χ2322222222-12222-1-1-1-1-1-1-1-1-1-1-12-2-22-2-22222-2-2-2-2-1-1-1-111111111000000001111-1-1-1-1000000000000
χ2422222222-12222-1-1-1-1-1-1-1-1-1-1-12-2-22-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000000011111111000000000000
χ2522222222-12222-1-1-1-1-1-1-1-1-1-1-1-222-2-2-222-2-222-2-21111-1-1-1-1111100000000-1-111-1-111000000000000
χ2622222222-12222-1-1-1-1-1-1-1-1-1-1-1-222-2-2-2-2-222-2-22211111111-1-1-1-100000000-1-11111-1-1000000000000
χ2722222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-22211111111-1-1-1-10000000011-1-1-1-111000000000000
χ2822222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-22222-2-21111-1-1-1-111110000000011-1-111-1-1000000000000
χ2922-222-2-2-2222-2-222-2-2-22-222-2-202-2000000000000000000000002-2002-2002-20000002-20000000000
χ3022-222-2-2-2222-2-222-2-2-22-222-2-202-200000000000000000000000-2200-22002-2000000-220000000000
χ3122-222-2-2-2222-2-222-2-2-22-222-2-20-22000000000000000000000002-2002-200-22000000-220000000000
χ3222-222-2-2-2222-2-222-2-2-22-222-2-20-2200000000000000000000000-2200-2200-220000002-20000000000
χ3322-222-2-2-22-2-22222-2-2-22-2-2-22200002i−2i000000000000000000002-200-2200002i−2i000000002i−2i000000
χ3422-222-2-2-22-2-22222-2-2-22-2-2-22200002i−2i00000000000000000000-22002-200002i−2i00000000−2i2i000000
χ3522-222-2-2-22-2-22222-2-2-22-2-2-2220000−2i2i000000000000000000002-200-220000−2i2i00000000−2i2i000000
χ3622-222-2-2-22-2-22222-2-2-22-2-2-2220000−2i2i00000000000000000000-22002-20000−2i2i000000002i−2i000000
χ372-222-2-22-222-22-2-2-2-2222-22-22-2000000002i−2i0000000000000000002-2002-20000002i−2i002i−2i00000000
χ382-222-2-22-222-22-2-2-2-2222-22-22-2000000002i−2i000000000000000000-2200-220000002i−2i00−2i2i00000000
χ392-222-2-22-222-22-2-2-2-2222-22-22-200000000−2i2i0000000000000000002-2002-2000000−2i2i00−2i2i00000000
χ402-222-2-22-222-22-2-2-2-2222-22-22-200000000−2i2i000000000000000000-2200-22000000−2i2i002i−2i00000000
χ412-222-2-22-22-22-22-2-2-2222-2-22-220000002i−2i000000000000000000002-200-2200002i−2i000000002i−2i0000
χ422-222-2-22-22-22-22-2-2-2222-2-22-220000002i−2i00000000000000000000-22002-200002i−2i00000000−2i2i0000
χ432-222-2-22-22-22-22-2-2-2222-2-22-22000000−2i2i000000000000000000002-200-220000−2i2i00000000−2i2i0000
χ442-222-2-22-22-22-22-2-2-2222-2-22-22000000−2i2i00000000000000000000-22002-20000−2i2i000000002i−2i0000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-22222400-40000000000-2-222000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-22222-4004000000000022-2-2000000000000000000000000000000000000
χ47444-4-4-4-44400004-4-44-4-4400000000000000000000000000000000000000000000000000000000−2i22i2
χ48444-4-4-4-44400004-4-44-4-44000000000000000000000000000000000000000000000000000000002i2−2i2
χ4944-444-4-4-4-244-4-4-2-2222-22-2-22204-40000000000000000000000000000000-22000000000000000000
χ5044-444-4-4-4-244-4-4-2-2222-22-2-2220-4400000000000000000000000000000002-2000000000000000000
χ5144-444-4-4-4-2-4-444-2-2222-2222-2-200004i−4i000000000000000000000000000000−2i2i0000000000000000
χ5244-444-4-4-4-2-4-444-2-2222-2222-2-20000−4i4i0000000000000000000000000000002i−2i0000000000000000
χ5344-4-4-444-4400004-44-44-4-4000000000000000022−22000000002222−22−220000000000000000000000000000
χ5444-4-4-444-4400004-44-44-4-40000000000000000−222200000000−22−2222220000000000000000000000000000
χ5544-4-4-444-4-20000-22-22-222000000000000000022−2200−2i32i3i6i6−i6−i6−2−2220000000000000000000000000000
χ5644-4-4-444-4-20000-22-22-222000000000000000022−22002i3−2i3−i6−i6i6i6−2−2220000000000000000000000000000
χ5744-4-4-444-4-20000-22-22-2220000000000000000−222200−2i32i3−i6−i6i6i622−2−20000000000000000000000000000
χ5844-4-4-444-4-20000-22-22-2220000000000000000−2222002i3−2i3i6i6−i6−i622−2−20000000000000000000000000000
χ594-444-4-44-4-24-44-4222-2-2-22-22-22000000004i−4i000000000000000000000000000000−2i2i000000000000
χ604-444-4-44-4-24-44-4222-2-2-22-22-2200000000−4i4i0000000000000000000000000000002i−2i000000000000
χ614-444-4-44-4-2-44-44222-2-2-222-22-20000004i−4i000000000000000000000000000000−2i2i00000000000000
χ624-444-4-44-4-2-44-44222-2-2-222-22-2000000−4i4i0000000000000000000000000000002i−2i00000000000000
χ634-44-444-4-440000-4444-4-4-40000000000000022−2200000022−2222−2200000000000000000000000000000000
χ644-44-444-4-440000-4444-4-4-400000000000000−2222000000−2222−222200000000000000000000000000000000
χ654-44-444-4-4-200002-2-2-22220000000000000022−2200−2i32i300−22−22i6−i6i6−i60000000000000000000000000000
χ664-44-444-4-4-200002-2-2-22220000000000000022−22002i3−2i300−22−22−i6i6−i6i60000000000000000000000000000
χ674-44-444-4-4-200002-2-2-222200000000000000−222200−2i32i3002−22−2−i6i6−i6i60000000000000000000000000000
χ684-44-444-4-4-200002-2-2-222200000000000000−2222002i3−2i3002−22−2i6−i6i6−i60000000000000000000000000000
χ694-4-44-44-4444-4-44-4-44-4-4444-4-44000000000000000000000000000000000000000000000000000000
χ704-4-44-44-444-444-4-4-44-4-444-444-4000000000000000000000000000000000000000000000000000000
χ714-4-44-44-44-24-4-4422-222-2-2-222-20000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ724-4-44-44-44-24-4-4422-222-2-2-222-200000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ734-4-44-44-44-2-444-422-222-2-22-2-22000000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ744-4-44-44-44-2-444-422-222-2-22-2-220000000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ754-4-4-44-44440000-44-4-44-4400000000000000000000000000000000000000000000000000000022−2200
χ764-4-4-44-44440000-44-4-44-44000000000000000000000000000000000000000000000000000000−222200
χ77888-8-8-8-88-40000-444-444-40000000000000000000000000000000000000000000000000000000000
χ788-8-8-88-888-400004-444-44-40000000000000000000000000000000000000000000000000000000000

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