Finite Group Databasebeta

← Group #10855122

Character table — Group #10855122

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444888888888888888888888881212121212121212121216161616161616161624242424242424242448
order122222223444466666664412121212444444488881212121224242424242424242244444444412121212121212122444488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111111-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111
χ511111111111111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-11
χ611111111111111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-11111-1
χ711111111111111111111111111-1-1-1-11-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1
χ811111111111111111111111111-1-1-1-11-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ911111111111111111111-1-1111111-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-1-1111111-1-1-1
χ1011111111111111111111-1-1111111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-1-111-1-11-1-1-1-1-1-1111
χ1111111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-11111-1-1-111-1-1-1-1111
χ1211111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-11111-1-11-1-11111-1-1-1
χ1311111111111111111111-1-11111-1-111-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-111-1-1-111-1-111-1
χ1411111111111111111111-1-11111-1-111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-111111-1-111-1-11
χ1511111111111111111111-1-11111-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111111-1-111-1-111-1-1-1-1-111-1-11
χ1611111111111111111111-1-11111-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-11111111-1-111-1
χ17222222222-2-2-2-2222222222-2-2-2-20000-200000022-2-20000000022-2-2-2-200000000000002000000000
χ18222222222-2-2-2-2222222222-2-2-2-20000-200000022-2-200000000-2-222220000000000000-2000000000
χ19222222222-2-2-2-22222222-2-2-2-2-2-200002000000-2-2220000000022-2-2220000000000000-2000000000
χ20222222222-2-2-2-22222222-2-2-2-2-2-200002000000-2-22200000000-2-222-2-200000000000002000000000
χ2122222222-12222-1-1-1-1-1-1-122-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-100000000002-1-1-1-1-1-1-1-10000000000
χ2222222222-12222-1-1-1-1-1-1-122-1-1-1-122222-2-2-2-2-2-2-1-1-1-1111111110000000000-21111-1-1-1-10000000000
χ2322222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2222-2-2-2-2-1-1-1-11111111100000000002-1-1-1-111110000000000
χ2422222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-22-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2111111110000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-2-2-22222-2-21111-1-1-1-111110000000000-2-1-111-1-1110000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-2-2-2-2-2-2-22211111111-1-1-1-10000000000211-1-1-1-1110000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-222-222-2-22211111111-1-1-1-10000000000-2-1-11111-1-10000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-222-2-2-222-2-21111-1-1-1-111110000000000211-1-111-1-10000000000
χ2922-2-22-22-22-22-2222-2-2-22-200-2-222000002i−2i00000000000000000000002i2i−2i−2i02i−2i00000000000002-20
χ3022-2-22-22-22-22-2222-2-2-22-200-2-222000002i−2i0000000000000000000000−2i−2i2i2i02i−2i0000000000000-220
χ3122-2-22-22-22-22-2222-2-2-22-200-2-22200000−2i2i00000000000000000000002i2i−2i−2i0−2i2i0000000000000-220
χ3222-2-22-22-22-22-2222-2-2-22-200-2-22200000−2i2i0000000000000000000000−2i−2i2i2i0−2i2i00000000000002-20
χ332-22-2-222-222-2-22-2-222-22-2002-22-2002i−2i00000000000000000002-22-2002i−2i2i−2i00000002i−2i0000000000
χ342-22-2-222-222-2-22-2-222-22-2002-22-2002i−2i0000000000000000000-22-2200−2i2i−2i2i00000002i−2i0000000000
χ352-22-2-222-222-2-22-2-222-22-2002-22-200−2i2i00000000000000000002-22-200−2i2i−2i2i0000000−2i2i0000000000
χ362-22-2-222-222-2-22-2-222-22-2002-22-200−2i2i0000000000000000000-22-22002i−2i2i−2i0000000−2i2i0000000000
χ372-22-2-222-22-222-2-2-222-22-200-22-222i−2i0000000000000000000002-2-22000000000002i−2i0002i−2i0000000
χ382-22-2-222-22-222-2-2-222-22-200-22-222i−2i000000000000000000000-222-2000000000002i−2i000−2i2i0000000
χ392-22-2-222-22-222-2-2-222-22-200-22-22−2i2i0000000000000000000002-2-2200000000000−2i2i000−2i2i0000000
χ402-22-2-222-22-222-2-2-222-22-200-22-22−2i2i000000000000000000000-222-200000000000−2i2i0002i−2i0000000
χ412-2-22-2-2222-2-222-2-2-2-222200-222-20000000002-20000000022-2-20000002-2-220000000000002-200000
χ422-2-22-2-2222-2-222-2-2-2-222200-222-20000000002-20000000022-2-2000000-222-2000000000000-2200000
χ432-2-22-2-2222-2-222-2-2-2-222200-222-2000000000-2200000000-2-2220000002-2-22000000000000-2200000
χ442-2-22-2-2222-2-222-2-2-2-222200-222-2000000000-2200000000-2-222000000-222-20000000000002-200000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-24422220000-4000000-2-2220000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2-4-422220000400000022-2-20000000000000000000000000000000000000
χ474444-4-4-4-4400004-44-4-4-444-40000000000000004-4000000000000000000000000000000000000000
χ484444-4-4-4-4400004-44-4-4-44-44000000000000000-44000000000000000000000000000000000000000
χ494444-4-4-4-4-20000-22-2222-24-4000000000000000-220066−6−66−66−600000000000000000000000000000
χ504444-4-4-4-4-20000-22-2222-24-4000000000000000-2200−6−666−66−6600000000000000000000000000000
χ514444-4-4-4-4-20000-22-2222-2-440000000000000002-20066−6−6−66−6600000000000000000000000000000
χ524444-4-4-4-4-20000-22-2222-2-440000000000000002-200−6−6666−66−600000000000000000000000000000
χ5344-4-44-44-444-44-444-4-4-44-40044-4-40000000000000000000000000000000000000000000000000000
χ5444-4-44-44-4-24-44-4-2-2222-2200-2-222000000000000000000000000000000000000−2i32i300000000000000
χ5544-4-44-44-4-24-44-4-2-2222-2200-2-2220000000000000000000000000000000000002i3−2i300000000000000
χ5644-4-44-44-4-2-44-44-2-2222-220022-2-2000004i−4i000000000000000000000000000−2i2i0000000000000000
χ5744-4-44-44-4-2-44-44-2-2222-220022-2-200000−4i4i0000000000000000000000000002i−2i0000000000000000
χ5844-4-4-44-44400004-4-444-4-400000000000000000000000000000000000000000000000000000−2i22i2000
χ5944-4-4-44-44400004-4-444-4-4000000000000000000000000000000000000000000000000000002i2−2i2000
χ604-44-44-4-4440000-444-44-4-40000000000000000000000000000000004i−4i00000000000000000000000
χ614-44-44-4-4440000-444-44-4-4000000000000000000000000000000000−4i4i00000000000000000000000
χ624-44-4-444-4-24-4-4422-2-22-2200-22-22004i−4i000000000000000000000000000000000000−2i2i0000000000
χ634-44-4-444-4-24-4-4422-2-22-2200-22-2200−4i4i0000000000000000000000000000000000002i−2i0000000000
χ644-44-4-444-4-2-444-422-2-22-22002-22-24i−4i000000000000000000000000000000000000−2i2i000000000000
χ654-44-4-444-4-2-444-422-2-22-22002-22-2−4i4i0000000000000000000000000000000000002i−2i000000000000
χ664-4-4444-4-440000-44-44-4-440000000000000−2i22i2000000−2i22i2−2i22i2000000000000000000000000000000000
χ674-4-4444-4-440000-44-44-4-4400000000000002i2−2i20000002i2−2i22i2−2i2000000000000000000000000000000000
χ684-4-4444-4-4-200002-22-222-20000000000000−2i22i20000−2i32i3i2−i2i2−i26−6−6600000000000000000000000000000
χ694-4-4444-4-4-200002-22-222-20000000000000−2i22i200002i3−2i3i2−i2i2−i2−666−600000000000000000000000000000
χ704-4-4444-4-4-200002-22-222-200000000000002i2−2i20000−2i32i3−i2i2−i2i2−666−600000000000000000000000000000
χ714-4-4444-4-4-200002-22-222-200000000000002i2−2i200002i3−2i3−i2i2−i2i26−6−6600000000000000000000000000000
χ724-4-44-4-444444-4-4-4-4-4-4444004-4-440000000000000000000000000000000000000000000000000000
χ734-4-44-4-444-244-4-42222-2-2-200-222-2000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ744-4-44-4-444-244-4-42222-2-2-200-222-20000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ754-4-44-4-444-2-4-4442222-2-2-2002-2-220000000004-400000000-2-22200000000000000000000000000000
χ764-4-44-4-444-2-4-4442222-2-2-2002-2-22000000000-440000000022-2-200000000000000000000000000000
χ7788-8-8-88-88-40000-444-4-4440000000000000000000000000000000000000000000000000000000000
χ788-88-88-8-88-400004-4-44-4440000000000000000000000000000000000000000000000000000000000

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