Finite Group Databasebeta

← Group #10901420

Character table — Group #10901420

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222222222222222444444444488888888888888888888888888121212121212121216161616161624242424242424244848
order12222222344444444666666644121212121212121222446666888812121212121224242424242424242244444444121212122244888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ911111111111-1-1-1-1111111111-1-1111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-1-11111-1-11-1
χ1011111111111-1-1-1-1111111111-1-1111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-11
χ1111111111111-1-1-1-1111111111-1-1111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111-1-111-1-111-11
χ1211111111111-1-1-1-1111111111-1-1111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-111-1-11-1
χ1311111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-1-11
χ1411111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1111-1
χ1511111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11-111-1-111-1-1-1-1111-1
χ1611111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-111-1-1-1-11111-1-1-11
χ17222222222-2-22222-2-22222222-2-2-2-2-22222-2000000000000-2-200000000000022-2-2-2-2220000000000000000
χ18222222222-2-22222-2-22222222-2-2-2-2-22222-2000000000000-2-2000000000000-2-22222-2-20000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-20000000000002200000000000022-2-222-2-20000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-200000000000022000000000000-2-222-2-2220000000000000000
χ2122222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-10000000000
χ2222222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100000000-2-211110000000000
χ2322222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211112222-1-11111-1-1-1-1-1-1-1-100000000-2-211110000000000
χ2422222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-1-11111111111110000000022-1-1-1-10000000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-1-11111-122-2-2-1-1-1-122-2-2111111-1-1-1-11111000000002-2-1-1110000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-1-11111-122-2-2-1-1-1-1-2-2221111111111-1-1-1-100000000-2211-1-10000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-1-11111-1-2-222111122-2-211-1-1-1-1-1-1-1-1111100000000-2211-1-10000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-1-11111-1-2-2221111-2-22211-1-1-1-11111-1-1-1-1000000002-2-1-1110000000000
χ2922-2-222-2-22002i2i−2i−2i0022-2-2-22-2000002i2i−2i−2i0000000002−2−i2i200000022−2−2−i2−i2i2i2002i−2i2-2000000000000−i2i22−200
χ3022-2-222-2-22002i2i−2i−2i0022-2-2-22-2000002i2i−2i−2i0000000002−2−i2i200000022−2−2−i2−i2i2i200−2i2i-22000000000000i2−i2−2200
χ3122-2-222-2-22002i2i−2i−2i0022-2-2-22-2000002i2i−2i−2i000000000−22i2−i2000000−2−222i2i2−i2−i2002i−2i2-2000000000000i2−i2−2200
χ3222-2-222-2-22002i2i−2i−2i0022-2-2-22-2000002i2i−2i−2i000000000−22i2−i2000000−2−222i2i2−i2−i200−2i2i-22000000000000−i2i22−200
χ3322-2-222-2-2200−2i−2i2i2i0022-2-2-22-200000−2i−2i2i2i0000000002−2i2−i200000022−2−2i2i2−i2−i2002i−2i-22000000000000−i2i2−2200
χ3422-2-222-2-2200−2i−2i2i2i0022-2-2-22-200000−2i−2i2i2i0000000002−2i2−i200000022−2−2i2i2−i2−i200−2i2i2-2000000000000i2−i22−200
χ3522-2-222-2-2200−2i−2i2i2i0022-2-2-22-200000−2i−2i2i2i000000000−22−i2i2000000−2−222−i2−i2i2i2002i−2i-22000000000000i2−i22−200
χ3622-2-222-2-2200−2i−2i2i2i0022-2-2-22-200000−2i−2i2i2i000000000−22−i2i2000000−2−222−i2−i2i2i200−2i2i2-2000000000000−i2i2−2200
χ372-2-222-2-2222-22-22-22-2-2-2-2-22222-22-2-22-22-222-22-222-2-200002-222-2-200000000000000000000000000000000
χ382-2-222-2-2222-22-22-22-2-2-2-2-22222-22-2-22-22-22-22-22-2-22200002-2-2-22200000000000000000000000000000000
χ392-2-222-2-2222-2-22-222-2-2-2-2-2222-222-2-2-22-2222-2-2222-2-20000-22-2-22200000000000000000000000000000000
χ402-2-222-2-2222-2-22-222-2-2-2-2-2222-222-2-2-22-222-222-2-2-2220000-2222-2-200000000000000000000000000000000
χ412-2-222-2-222-222-22-2-22-2-2-2-2222-22-2222-22-2-2000000000000-22000000000000000000000000002-22-2000000
χ422-2-222-2-222-222-22-2-22-2-2-2-2222-22-2222-22-2-2000000000000-2200000000000000000000000000-22-22000000
χ432-2-222-2-222-22-22-22-22-2-2-2-22222-2-222-22-22-20000000000002-2000000000000000000000000002-2-22000000
χ442-2-222-2-222-22-22-22-22-2-2-2-22222-2-222-22-22-20000000000002-200000000000000000000000000-222-2000000
χ452-2-222-2-22-12-22-22-22-21111-1-1-12-2-111-11-11-12-22-2-1-1110000-11-1-111−i3i3−i3i3−i3i3−i3i30000000000−i3i3−i3i30000000000
χ462-2-222-2-22-12-22-22-22-21111-1-1-12-2-111-11-11-12-22-2-1-1110000-11-1-111i3−i3i3−i3i3−i3i3−i30000000000i3−i3i3−i30000000000
χ472-2-222-2-22-12-22-22-22-21111-1-1-12-2-111-11-11-1-22-2211-1-10000-1111-1-1−i3i3−i3i3−i3i3−i3i30000000000i3−i3i3−i30000000000
χ482-2-222-2-22-12-22-22-22-21111-1-1-12-2-111-11-11-1-22-2211-1-10000-1111-1-1i3−i3i3−i3i3−i3i3−i30000000000−i3i3−i3i30000000000
χ492-2-222-2-22-12-2-22-222-21111-1-1-1-22-1111-11-1-12-2-22-1-11100001-111-1-1−i3i3−i3i3i3−i3i3−i30000000000−i3i3i3−i30000000000
χ502-2-222-2-22-12-2-22-222-21111-1-1-1-22-1111-11-1-12-2-22-1-11100001-111-1-1i3−i3i3−i3−i3i3−i3i30000000000i3−i3−i3i30000000000
χ512-2-222-2-22-12-2-22-222-21111-1-1-1-22-1111-11-1-1-222-211-1-100001-1-1-111−i3i3−i3i3i3−i3i3−i30000000000i3−i3−i3i30000000000
χ522-2-222-2-22-12-2-22-222-21111-1-1-1-22-1111-11-1-1-222-211-1-100001-1-1-111i3−i3i3−i3−i3i3−i3i30000000000−i3i3i3−i30000000000
χ5344444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-4222-2-2-2-2200000000000022000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24422222222000000000000-2-2000000000000000000000000000000000000
χ554444-4-4-4-444-40000-444-44-44-4-40044-40000-400000000000000000000000000000000000000000000000000
χ564444-4-4-4-44-4400004-44-44-44-4-400-4-440000400000000000000000000000000000000000000000000000000
χ574444-4-4-4-4-24-40000-44-22-22-22200-2-22000020000−2i32i3−2i32i3000000000000000000000000000000000000000000
χ584444-4-4-4-4-24-40000-44-22-22-22200-2-220000200002i3−2i32i3−2i3000000000000000000000000000000000000000000
χ594444-4-4-4-4-2-4400004-4-22-22-2220022-20000-20000000000000023−2323−2300000000000000000000000000000000
χ604444-4-4-4-4-2-4400004-4-22-22-2220022-20000-200000000000000−2323−232300000000000000000000000000000000
χ6144-4-444-4-4-2004i4i−4i−4i00-2-2222-2200000−2i−2i2i2i00000000022−22−2i22i2000000−2−222i2i2−i2−i2000000000000000000000000
χ6244-4-444-4-4-2004i4i−4i−4i00-2-2222-2200000−2i−2i2i2i000000000−22222i2−2i200000022−2−2−i2−i2i2i2000000000000000000000000
χ6344-4-444-4-4-200−4i−4i4i4i00-2-2222-22000002i2i−2i−2i00000000022−222i2−2i2000000−2−222−i2−i2i2i2000000000000000000000000
χ6444-4-444-4-4-200−4i−4i4i4i00-2-2222-22000002i2i−2i−2i000000000−2222−2i22i200000022−2−2i2i2−i2−i2000000000000000000000000
χ6544-4-4-4-4444000000004-4-44-4-440000000000000000000000000000000000000000004-40000000000000000
χ6644-4-4-4-4444000000004-4-44-4-44000000000000000000000000000000000000000000-440000000000000000
χ674-44-44-44-44004i−4i−4i4i00-4-444-44-4000004i−4i−4i4i000000000000000000000000000000000000000000000000000
χ684-44-44-44-4400−4i4i4i−4i00-4-444-44-400000−4i4i4i−4i000000000000000000000000000000000000000000000000000
χ694-44-44-44-4-2004i−4i−4i4i0022-2-22-2200000−2i2i2i−2i0000000000000000000i6−i6−i6i66−6−66000000000000000000000000
χ704-44-44-44-4-2004i−4i−4i4i0022-2-22-2200000−2i2i2i−2i0000000000000000000−i6i6i6−i6−666−6000000000000000000000000
χ714-44-44-44-4-200−4i4i4i−4i0022-2-22-22000002i−2i−2i2i0000000000000000000i6−i6−i6i6−666−6000000000000000000000000
χ724-44-44-44-4-200−4i4i4i−4i0022-2-22-22000002i−2i−2i2i0000000000000000000−i6i6i6−i66−6−66000000000000000000000000
χ734-44-4-44-44400000000-444-4-4-440000000000000000000000000000000000004-40000000000000000000000
χ744-44-4-44-44400000000-444-4-4-44000000000000000000000000000000000000-440000000000000000000000
χ754-4-444-4-44-2-444-44-4-442222-2-2-2-442-2-2-22-2220000000000002-2000000000000000000000000000000000000
χ764-4-444-4-44-2-44-44-44-442222-2-2-24-42-2-22-22-22000000000000-22000000000000000000000000000000000000
χ774-4-44-444-44440000-4-4-44-444-4-4004-440000-400000000000000000000000000000000000000000000000000
χ784-4-44-444-44-4-4000044-44-444-4-400-44-40000400000000000000000000000000000000000000000000000000
χ794-4-44-444-4-2440000-4-42-22-2-22200-22-2000020000−2i32i32i3−2i3000000000000000000000000000000000000000000
χ804-4-44-444-4-2440000-4-42-22-2-22200-22-20000200002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ814-4-44-444-4-2-4-40000442-22-2-222002-220000-20000000000000023−23−232300000000000000000000000000000000
χ824-4-44-444-4-2-4-40000442-22-2-222002-220000-200000000000000−232323−2300000000000000000000000000000000
χ8388-8-8-8-888-400000000-444-444-4000000000000000000000000000000000000000000000000000000000000
χ848-88-8-88-88-4000000004-4-4444-4000000000000000000000000000000000000000000000000000000000000

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