Finite Group Databasebeta

← Group #10772152

Character table — Group #10772152

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222444444444444448888888888888888881212121216161616161616161616242424242424242424244848
order122234444446662444661212121212121212224488881212242424242424242444446688121224242424224444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111
χ61111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111111-1-11-1-11111-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-111-1-1-1-111
χ9111111-1-1111111-1-1-11-1-11-1-11-1-11111-1-111-1-11-11111-1-1-1-111-1-1111-1-1-111-1-1-1111-1-111-1-11-1
χ10111111-1-1111111-1-1-11-1-11-1-11-1-11111-1-111-1-11-11111-1-1-1-1-1-111111-1-1-111-1-11-1-1-111-1-111-11
χ11111111-1-1111111-1-1-11-1-11-1-11-1-11111-1-1-1-1111-1-1-1-1-1111111-1-111-11-1-1-1-111-1111-1-1-1-111-11
χ12111111-1-1111111-1-1-11-1-11-1-11-1-11111-1-1-1-1111-1-1-1-1-11111-1-11111-11-1-1-1-1111-1-1-11111-1-11-1
χ13111111-1-1111111-1-1-11-1-11-1-11-1-111-1-11111-1-11-11111-1-1-1-111-1-1-1-1-1111-1-111-1-1-1111-1-1111-1
χ14111111-1-1111111-1-1-11-1-11-1-11-1-111-1-11111-1-11-11111-1-1-1-1-1-111-1-1-1111-1-111111-1-1-111-1-1-11
χ15111111-1-1111111-1-1-11-1-11-1-11-1-111-1-111-1-1111-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1-111111-1-1-11
χ16111111-1-1111111-1-1-11-1-11-1-11-1-111-1-111-1-1111-1-1-1-1-11111-1-111-1-11-11111-1-1111-1-1-1-1-1111-1
χ1722222222-22-22222-2-2-222222-2-2-22-200000000-2-20000000022-2-20000000000200-200000000
χ1822222222-22-22222-2-2-222222-2-2-22-200000000-2-200000000-2-2220000000000-200200000000
χ19222222-2-2-22-2222-222-2-2-22-2-2-2222-200000000-220000000022220000000000-200-200000000
χ20222222-2-2-22-2222-222-2-2-22-2-2-2222-200000000-2200000000-2-2-2-20000000000200200000000
χ2122222-2222-22222-22-2-2-2-2-2222-2-2-2200000000-22000000000000000000000002-20-22000000
χ2222222-2222-22222-22-2-2-2-2-2222-2-2-2200000000-2200000000000000000000000-2202-2000000
χ2322222-222-2-2-2222-2-222-2-2-222-222-2-22-22-200002-20000000000002-2002-20000000000000000
χ2422222-222-2-2-2222-2-222-2-2-222-222-2-2-22-2200002-2000000000000-2200-220000000000000000
χ2522222-2-2-22-222222-22-222-2-2-2222-2200000000-2-2000000000000000000000002-202-2000000
χ2622222-2-2-22-222222-22-222-2-2-2222-2200000000-2-200000000000000000000000-220-22000000
χ2722222-2-2-2-2-2-222222-2222-2-2-2-2-2-2-2-22-2-220000220000000000002-200-220000000000000000
χ2822222-2-2-2-2-2-222222-2222-2-2-2-2-2-2-2-2-222-2000022000000000000-22002-20000000000000000
χ292222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000-1-122-1-1-1-1-1-1000000000000
χ302222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1111111110000-1-1-2-2-1-11111000000000000
χ312222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1000011-2-2111111000000000000
χ322222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111111110000112211-1-1-1-1000000000000
χ332222-12-2-2222-1-1-1-2-2-2211-111-111-1-122-2-222-2-2-11-1-1-1-111110000-1-12-211-1-111000000000000
χ342222-12-2-2222-1-1-1-2-2-2211-111-111-1-122-2-2-2-222-111111-1-1-1-10000-1-1-221111-1-1000000000000
χ352222-12-2-2222-1-1-1-2-2-2211-111-111-1-1-2-22222-2-2-11-1-1-1-11111000011-22-1-111-1-1000000000000
χ362222-12-2-2222-1-1-1-2-2-2211-111-111-1-1-2-222-2-222-111111-1-1-1-10000112-2-1-1-1-111000000000000
χ372222-1-222-2-2-2-1-1-1-2-222111-1-11-1-1112-22-20000-1133−3−333−3−30000-1100-113−33−3000000000000
χ382222-1-222-2-2-2-1-1-1-2-222111-1-11-1-1112-22-20000-11−3−333−3−3330000-1100-11−33−33000000000000
χ392222-1-222-2-2-2-1-1-1-2-222111-1-11-1-111-22-220000-1133−3−333−3−300001-1001-1−33−33000000000000
χ402222-1-222-2-2-2-1-1-1-2-222111-1-11-1-111-22-220000-11−3−333−3−33300001-1001-13−33−3000000000000
χ412222-1-2-2-2-2-2-2-1-1-122-22-1-1111111112-2-220000-1-133−3−3−3−3330000-11001-13−3−33000000000000
χ422222-1-2-2-2-2-2-2-1-1-122-22-1-1111111112-2-220000-1-1−3−33333−3−30000-11001-1−333−3000000000000
χ432222-1-2-2-2-2-2-2-1-1-122-22-1-111111111-222-20000-1-133−3−3−3−33300001-100-11−333−3000000000000
χ442222-1-2-2-2-2-2-2-1-1-122-22-1-111111111-222-20000-1-1−3−33333−3−300001-100-113−3−33000000000000
χ454444-2444-44-4-2-2-24-4-4-4-2-2-2-2-2222-2200000000220000000000000000000000000000000000
χ464444-24-4-4-44-4-2-2-2-444-422-2222-2-2-22000000002-20000000000000000000000000000000000
χ474444-2-4444-44-2-2-2-44-4-4222-2-2-2222-2000000002-20000000000000000000000000000000000
χ484444-2-4-4-44-44-2-2-24-44-4-2-2222-2-2-22-200000000220000000000000000000000000000000000
χ4944-4-444000-404-4-4000000400000-400000000000000000004-4000000000000000000000000
χ5044-4-444000-404-4-4000000400000-40000000000000000000-44000000000000000000000000
χ5144-4-44-4000404-4-4000000-40000040000000000000000000004i−4i0000000000000000000000
χ5244-4-44-4000404-4-4000000-4000004000000000000000000000−4i4i0000000000000000000000
χ534-44-4404i−4i000-44-400000004i−4i00000000000000000000000000000000000000000002-22i−2i00
χ544-44-4404i−4i000-44-400000004i−4i0000000000000000000000000000000000000000000-22−2i2i00
χ554-44-440−4i4i000-44-40000000−4i4i00000000000000000000000000000000000000000002-2−2i2i00
χ564-44-440−4i4i000-44-40000000−4i4i0000000000000000000000000000000000000000000-222i−2i00
χ574-4-44400040-4-4-440000000004000-4000000−2i22i2000000−2i22i2−2i22i200000000000000000000000000
χ584-4-44400040-4-4-440000000004000-40000002i2−2i20000002i2−2i22i2−2i200000000000000000000000000
χ594-4-444000-404-4-44000000000-40004000022−22000022−2222−22000000000000000000000000000000
χ604-4-444000-404-4-44000000000-400040000−22220000−2222−2222000000000000000000000000000000
χ614-4-44-200040-422-20000−2i32i3000-2−2i32i302000000−2i22i2006−6−66i2−i2i2−i200000000000000000000000000
χ624-4-44-200040-422-20000−2i32i3000-2−2i32i3020000002i2−2i200−666−6−i2i2−i2i200000000000000000000000000
χ634-4-44-200040-422-200002i3−2i3000-22i3−2i302000000−2i22i200−666−6i2−i2i2−i200000000000000000000000000
χ644-4-44-200040-422-200002i3−2i3000-22i3−2i3020000002i2−2i2006−6−66−i2i2−i2i200000000000000000000000000
χ654-4-44-2000-40422-20000−2i32i300022i3−2i30-2000022−220000−22−22−i6i6i6−i600000000000000000000000000
χ664-4-44-2000-40422-20000−2i32i300022i3−2i30-20000−222200002−22−2i6−i6−i6i600000000000000000000000000
χ674-4-44-2000-40422-200002i3−2i30002−2i32i30-2000022−220000−22−22i6−i6−i6i600000000000000000000000000
χ684-4-44-2000-40422-200002i3−2i30002−2i32i30-20000−222200002−22−2−i6i6i6−i600000000000000000000000000
χ6988-8-8-48000-80-444000000-4000004000000000000000000000000000000000000000000000
χ7088-8-8-4-800080-444000000400000-4000000000000000000000000000000000000000000000
χ718-88-8-408i−8i0004-440000000−4i4i0000000000000000000000000000000000000000000000000
χ728-88-8-40−8i8i0004-4400000004i−4i0000000000000000000000000000000000000000000000000

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