Finite Group Databasebeta

← Group #10844758

Character table — Group #10844758

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222222222222222444444444488888888888888888888888888121212121212121216161616161624242424242424244848
order122222223444444446666666441212121212121212224466668888121212121212242424242424242488888888246612124444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
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
χ911111111111-1-1-1-1111111111-1-1111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-1-11-11-1111-1
χ1011111111111-1-1-1-1111111111-1-1111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-111-11-11-1-1-11
χ1111111111111-1-1-1-1111111111-1-1111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111-1-1-11-1111-11
χ1211111111111-1-1-1-1111111111-1-1111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111111-11-1-1-11-1
χ1311111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-111111-11-1-1-1-11
χ1411111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-111-1-1-11-11111-1
χ1511111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11-111-1-111-11-11-1-11-1
χ1611111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-111-1-1-1-11-11-111-11
χ17222222222-2-22222-2-22222222-2-2-2-2-22222-2000000000000-2-200000000000000000000000000002-2-220000
χ18222222222-2-22222-2-22222222-2-2-2-2-22222-2000000000000-2-20000000000000000000000000000-222-20000
χ19222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-200000000000022000000000000000000000000000022-2-20000
χ20222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000220000000000000000000000000000-2-2220000
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
χ292222-2-2-2-222-20000-2222-2-2-22-2002-2-2000022-20022-2-20000000000000000002i2i−2i−2i00000000000000002i−2i00
χ302222-2-2-2-222-20000-2222-2-2-22-2002-2-2000022-20022-2-2000000000000000000−2i−2i2i2i0000000000000000−2i2i00
χ312222-2-2-2-222-20000-2222-2-2-22-2002-2-200002-2200-2-2220000000000000000002i2i−2i−2i0000000000000000−2i2i00
χ322222-2-2-2-222-20000-2222-2-2-22-2002-2-200002-2200-2-222000000000000000000−2i−2i2i2i00000000000000002i−2i00
χ332-22-22-2-2222-200002-2-2-222-22-20022-20000-2002i−2i00000000002i2i−2i−2i000000002-22-200000000002i−2i00000000
χ342-22-22-2-2222-200002-2-2-222-22-20022-20000-2002i−2i00000000002i2i−2i−2i00000000-22-220000000000−2i2i00000000
χ352-22-22-2-2222-200002-2-2-222-22-20022-20000-200−2i2i0000000000−2i−2i2i2i000000002-22-20000000000−2i2i00000000
χ362-22-22-2-2222-200002-2-2-222-22-20022-20000-200−2i2i0000000000−2i−2i2i2i00000000-22-2200000000002i−2i00000000
χ372-22-2-222-222222-2-2-2-2-2-2-2-22222-22-2222-2-2-20000000000002-20000000000002i−2i−2i2i2i2i−2i−2i0000000000000000
χ382-22-2-222-222222-2-2-2-2-2-2-2-22222-22-2222-2-2-20000000000002-2000000000000−2i2i2i−2i−2i−2i2i2i0000000000000000
χ392-22-2-222-2222-2-222-2-2-2-2-2-2222-222-22-2-222-2000000000000-220000000000002i−2i−2i2i−2i−2i2i2i0000000000000000
χ402-22-2-222-2222-2-222-2-2-2-2-2-2222-222-22-2-222-2000000000000-22000000000000−2i2i2i−2i2i2i−2i−2i0000000000000000
χ412-22-2-222-22-2-222-2-222-2-2-2-2222-22-22-222-2-22000000002-22-2-22000022-2-222-2-2000000000000000000000000
χ422-22-2-222-22-2-222-2-222-2-2-2-2222-22-22-222-2-2200000000-22-22-220000-2-222-2-222000000000000000000000000
χ432-22-2-222-22-2-2-2-22222-2-2-2-22222-2-22-2-2-2222000000002-2-222-2000022-2-2-2-222000000000000000000000000
χ442-22-2-222-22-2-2-2-22222-2-2-2-22222-2-22-2-2-222200000000-222-22-20000-2-22222-2-2000000000000000000000000
χ452-22-2-222-2-1-2-222-2-2221111-1-1-1-221-11-1-111-10000−i3i3−i3i32-22-21-1−i3i3−i3i3-1-111-1-1110000000000−i3i3−i3i30000000000
χ462-22-2-222-2-1-2-222-2-2221111-1-1-1-221-11-1-111-10000−i3i3−i3i3-22-221-1−i3i3−i3i311-1-111-1-10000000000i3−i3i3−i30000000000
χ472-22-2-222-2-1-2-222-2-2221111-1-1-1-221-11-1-111-10000i3−i3i3−i32-22-21-1i3−i3i3−i3-1-111-1-1110000000000i3−i3i3−i30000000000
χ482-22-2-222-2-1-2-222-2-2221111-1-1-1-221-11-1-111-10000i3−i3i3−i3-22-221-1i3−i3i3−i311-1-111-1-10000000000−i3i3−i3i30000000000
χ492-22-2-222-2-1-2-2-2-222221111-1-1-12-21-1111-1-1-10000−i3i3−i3i32-2-22-11i3−i3i3−i3-1-11111-1-10000000000−i3i3i3−i30000000000
χ502-22-2-222-2-1-2-2-2-222221111-1-1-12-21-1111-1-1-10000−i3i3−i3i3-222-2-11i3−i3i3−i311-1-1-1-1110000000000i3−i3−i3i30000000000
χ512-22-2-222-2-1-2-2-2-222221111-1-1-12-21-1111-1-1-10000i3−i3i3−i32-2-22-11−i3i3−i3i3-1-11111-1-10000000000i3−i3−i3i30000000000
χ522-22-2-222-2-1-2-2-2-222221111-1-1-12-21-1111-1-1-10000i3−i3i3−i3-222-2-11−i3i3−i3i311-1-1-1-1110000000000−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
χ554444-4-4-4-44-4400004-444-4-4-44-400-4440000-400000000000000000000000000000000000000000000000000
χ564444-4-4-4-4-24-40000-44-2-2222-2200-2220000-24-400-2-222000000000000000000000000000000000000000000
χ574444-4-4-4-4-24-40000-44-2-2222-2200-2220000-2-440022-2-2000000000000000000000000000000000000000000
χ584444-4-4-4-4-2-4400004-4-2-2222-22002-2-2000020000000000000023−23−232300000000000000000000000000000000
χ594444-4-4-4-4-2-4400004-4-2-2222-22002-2-20000200000000000000−232323−2300000000000000000000000000000000
χ6044-4-44-44-44000000004-44-4-4-440000000000000000000000000000000000000000−2i22i2−2i22i20000000000000000
χ6144-4-44-44-44000000004-44-4-4-4400000000000000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ6244-4-4-44-444004i−4i4i−4i004-4-444-4-4000004i−4i4i−4i000000000000000000000000000000000000000000000000000
χ6344-4-4-44-44400−4i4i−4i4i004-4-444-4-400000−4i4i−4i4i000000000000000000000000000000000000000000000000000
χ6444-4-4-44-44-2004i−4i4i−4i00-222-2-22200000−2i2i−2i2i0000000000000000000i6−i6i6−i66−66−6000000000000000000000000
χ6544-4-4-44-44-2004i−4i4i−4i00-222-2-22200000−2i2i−2i2i0000000000000000000−i6i6−i6i6−66−66000000000000000000000000
χ6644-4-4-44-44-200−4i4i−4i4i00-222-2-222000002i−2i2i−2i0000000000000000000i6−i6i6−i6−66−66000000000000000000000000
χ6744-4-4-44-44-200−4i4i−4i4i00-222-2-222000002i−2i2i−2i0000000000000000000−i6i6−i6i66−66−6000000000000000000000000
χ684-44-44-4-444-440000-44-4-444-44-400-4-440000400000000000000000000000000000000000000000000000000
χ694-44-44-4-44-24-400004-422-2-22-2200-2-2200002004i−4i0000000000−2i−2i2i2i00000000000000000000000000000000
χ704-44-44-4-44-24-400004-422-2-22-2200-2-220000200−4i4i00000000002i2i−2i−2i00000000000000000000000000000000
χ714-44-44-4-44-2-440000-4422-2-22-220022-20000-20000−2i32i32i3−2i3000000000000000000000000000000000000000000
χ724-44-44-4-44-2-440000-4422-2-22-220022-20000-200002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ734-44-4-444-4-24444-4-4-4-42222-2-2-24-4-22-2-2-2222000000000000-22000000000000000000000000000000000000
χ744-44-4-444-4-244-4-444-4-42222-2-2-2-44-22-222-2-220000000000002-2000000000000000000000000000000000000
χ754-4-4444-4-44004i−4i−4i4i00-444-44-4-4000004i−4i−4i4i000000000000000000000000000000000000000000000000000
χ764-4-4444-4-4400−4i4i4i−4i00-444-44-4-400000−4i4i4i−4i000000000000000000000000000000000000000000000000000
χ774-4-4444-4-4-2004i−4i−4i4i002-2-22-22200000−2i2i2i−2i0000000000000000000i6−i6−i6i66−6−66000000000000000000000000
χ784-4-4444-4-4-2004i−4i−4i4i002-2-22-22200000−2i2i2i−2i0000000000000000000−i6i6i6−i6−666−6000000000000000000000000
χ794-4-4444-4-4-200−4i4i4i−4i002-2-22-222000002i−2i−2i2i0000000000000000000i6−i6−i6i6−666−6000000000000000000000000
χ804-4-4444-4-4-200−4i4i4i−4i002-2-22-222000002i−2i−2i2i0000000000000000000−i6i6i6−i66−6−66000000000000000000000000
χ814-4-44-4-444400000000-44-44-4-44000000000000000000000000000000000000000022−22−22220000000000000000
χ824-4-44-4-444400000000-44-44-4-440000000000000000000000000000000000000000−222222−220000000000000000
χ8388-8-88-88-8-400000000-44-4444-4000000000000000000000000000000000000000000000000000000000000
χ848-8-88-8-888-4000000004-44-444-4000000000000000000000000000000000000000000000000000000000000

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