Finite Group Databasebeta

← Group #10847440

Character table — Group #10847440

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444446666888888888888888888881212121212121616161616161616161624242424242424244848
order12222222344446666666444412121212444422228888121212122424242424242424224444446666121212124444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1
χ911111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-111-1-111-1-111-1-1-11
χ1011111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1111-1-1-1-11111-1-1-1-1111-1
χ1111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-11-1-111-1-111-1-11111-1-11-1
χ1211111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11-1-1-11111-1-1-1-111-1-111-11
χ1311111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111-111-1-111-1-1-1-111-1-1111-1
χ1411111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1111-1-1-1-111-1-11111-1-1-11
χ1511111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-11-1-111-1-11111-1-1-1-111-11
χ1611111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-11111-1-111-1-111-1-11-1
χ17222222222-2-2-2-2222222222-2-2-2-2-2-222220000000022-2-200000000-2-2-2-22200000000000000000000
χ18222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-20000000022-2-2000000002222-2-200000000000000000000
χ19222222222-2-2-2-22222222-2-222-2-2-2-2222200000000-2-2220000000022-2-2-2-200000000000000000000
χ20222222222-2-2-2-22222222-2-222-2-2-2-2-2-2-2-200000000-2-22200000000-2-2222200000000000000000000
χ2122222222-12222-1-1-1-1-1-1-12222-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-1-1-100000022-1-1-1-1-1-1-1-10000000000
χ2222222222-12222-1-1-1-1-1-1-12222-1-1-1-100002222-2-2-2-2-1-1-1-111111111000000-2-2-1-1-1-111110000000000
χ2322222222-12222-1-1-1-1-1-1-12222-1-1-1-10000-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2111111110000000000
χ2422222222-12222-1-1-1-1-1-1-12222-1-1-1-10000-2-2-2-2-2-2-2-2-1-1-1-111111111000000221111-1-1-1-10000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1000022-2-222-2-21111-1-1-1-111110000002-2-1-111-1-1110000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1000022-2-2-2-22211111111-1-1-1-1000000-22-1-11111-1-10000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-10000-2-22222-2-21111-1-1-1-11111000000-2211-1-111-1-10000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-10000-2-222-2-22211111111-1-1-1-10000002-211-1-1-1-1110000000000
χ2922-22-22-2-222-22-22-2-2-2-22200002-22-22i2i−2i−2i0000002-20000000022-2-2002i−2i0000000000000000002i−2i00
χ3022-22-22-2-222-22-22-2-2-2-22200002-22-22i2i−2i−2i000000-2200000000-2-222002i−2i000000000000000000−2i2i00
χ3122-22-22-2-222-22-22-2-2-2-22200002-22-2−2i−2i2i2i0000002-20000000022-2-200−2i2i000000000000000000−2i2i00
χ3222-22-22-2-222-22-22-2-2-2-22200002-22-2−2i−2i2i2i000000-2200000000-2-22200−2i2i0000000000000000002i−2i00
χ3322-22-22-2-22-22-222-2-2-2-2220000-22-222i2i−2i−2i00002-200000022-2-2000000−2i2i00000000000000002i−2i0000
χ3422-22-22-2-22-22-222-2-2-2-2220000-22-222i2i−2i−2i0000-22000000-2-222000000−2i2i0000000000000000−2i2i0000
χ3522-22-22-2-22-22-222-2-2-2-2220000-22-22−2i−2i2i2i00002-200000022-2-20000002i−2i0000000000000000−2i2i0000
χ3622-22-22-2-22-22-222-2-2-2-2220000-22-22−2i−2i2i2i0000-22000000-2-2220000002i−2i00000000000000002i−2i0000
χ372-2-2-222-2222-2-22-2-2-222-2200002-2-220000002-200000000000000002-2002-200002-200002-200000000
χ382-2-2-222-2222-2-22-2-2-222-2200002-2-220000002-20000000000000000-2200-2200002-20000-2200000000
χ392-2-2-222-2222-2-22-2-2-222-2200002-2-22000000-2200000000000000002-2002-20000-220000-2200000000
χ402-2-2-222-2222-2-22-2-2-222-2200002-2-22000000-220000000000000000-2200-220000-2200002-200000000
χ412-2-2-222-222-222-2-2-2-222-220000-222-200002-20000000000000000002-200-22002-2000000002-2000000
χ422-2-2-222-222-222-2-2-2-222-220000-222-200002-2000000000000000000-22002-2002-200000000-22000000
χ432-2-2-222-222-222-2-2-2-222-220000-222-20000-220000000000000000002-200-2200-2200000000-22000000
χ442-2-2-222-222-222-2-2-2-222-220000-222-20000-22000000000000000000-22002-200-22000000002-2000000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-244-4-42222000000000000-2-2220000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2-4-444222200000000000022-2-20000000000000000000000000000000000
χ47444-44-4-4-44000044-44-4-4-44-40000000000000000004-4000000000000000000000000000000000000
χ48444-44-4-4-44000044-44-4-4-4-44000000000000000000-44000000000000000000000000000000000000
χ49444-44-4-4-4-20000-2-22-22224-4000000000000000000-22006−66−66−66−600000000000000000000000000
χ50444-44-4-4-4-20000-2-22-22224-4000000000000000000-2200−66−66−66−6600000000000000000000000000
χ51444-44-4-4-4-20000-2-22-2222-440000000000000000002-2006−66−6−66−6600000000000000000000000000
χ52444-44-4-4-4-20000-2-22-2222-440000000000000000002-200−66−666−66−600000000000000000000000000
χ5344-44-44-4-4-24-44-4-22222-2-20000-22-2200000000004-400000000-2-22200000000000000000000000000
χ5444-44-44-4-4-24-44-4-22222-2-20000-22-220000000000-440000000022-2-200000000000000000000000000
χ5544-44-44-4-4-2-44-44-22222-2-200002-22-2000000004-4000000-2-222000000000000000000000000000000
χ5644-44-44-4-4-2-44-44-22222-2-200002-22-200000000-4400000022-2-2000000000000000000000000000000
χ5744-4-4-4-444400004-44-44-4-4004-40000000000000000004-40000000000000000000000000000000000
χ5844-4-4-4-444400004-44-44-4-400-44000000000000000000-440000000000000000000000000000000000
χ5944-4-4-4-444-20000-22-22-222004-4000000000000000000-226−6−666−6−6600000000000000000000000000
χ6044-4-4-4-444-20000-22-22-222004-4000000000000000000-22−666−6−666−600000000000000000000000000
χ6144-4-4-4-444-20000-22-22-22200-440000000000000000002-26−6−66−666−600000000000000000000000000
χ6244-4-4-4-444-20000-22-22-22200-440000000000000000002-2−666−66−6−6600000000000000000000000000
χ634-444-4-4-4440000-44-4-444-4000000004-44-40000000000000000000000000000000000000000000000
χ644-444-4-4-4440000-44-4-444-400000000-44-440000000000000000000000000000000000000000000000
χ654-44-4-444-4444-4-4-444-4-4-44000044-4-400000000000000000000000000000000000000000000000000
χ664-44-4-444-44-4-444-444-4-4-440000-4-44400000000000000000000000000000000000000000000000000
χ674-44-4-444-4-244-4-42-2-2222-20000-2-22200000000000000000000000000000000000023−23000000000000
χ684-44-4-444-4-244-4-42-2-2222-20000-2-222000000000000000000000000000000000000−2323000000000000
χ694-44-4-444-4-2-4-4442-2-2222-2000022-2-200000000000000000000000000000000000000−2i32i30000000000
χ704-44-4-444-4-2-4-4442-2-2222-2000022-2-2000000000000000000000000000000000000002i3−2i30000000000
χ714-4-444-44-440000-4-444-44-4000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ724-4-444-44-440000-4-444-44-400000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ734-4-4-444-44-24-4-44222-2-22-20000-222-20000004-400000000000000000000000000-2200000000000000
χ744-4-4-444-44-24-4-44222-2-22-20000-222-2000000-44000000000000000000000000002-200000000000000
χ754-4-4-444-44-2-444-4222-2-22-200002-2-2200004-400000000000000000000000000-220000000000000000
χ764-4-4-444-44-2-444-4222-2-22-200002-2-220000-44000000000000000000000000002-20000000000000000
χ778-888-8-8-88-400004-444-4-440000000000000000000000000000000000000000000000000000000000
χ788-8-888-88-8-4000044-4-44-440000000000000000000000000000000000000000000000000000000000

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