Finite Group Databasebeta

← Group #10945042

Character table — Group #10945042

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222244444444444444444444888888888888888888888812121212121212121212121212121212161616161616242424244848
order12222222344446666666222244444444121212121212121266668888121212121212242424242424242422222244444444444412121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-11
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-11111-1-11-1
χ911111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1111-1
χ1011111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-11
χ1111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-111-1-111-1-1-11
χ1211111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-111-1-1-1-1111-1
χ1311111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111
χ17222222222-2-2-2-222222220000000022-2-2-2-22222-2-200000000-2-2000000000000000022-2-2-2-2220000000000000000
χ18222222222-2-2-2-222222220000000022-2-2-2-22222-2-200000000-2-20000000000000000-2-22222-2-20000000000000000
χ19222222222-2-2-2-2222222200000000-2-222-2-2-2-2-2-2-2-20000000022000000000000000022-2-222-2-20000000000000000
χ20222222222-2-2-2-2222222200000000-2-222-2-2-2-2-2-2-2-200000000220000000000000000-2-222-2-2220000000000000000
χ2122222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-1000000
χ2222222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111110000000000000000-2-21111000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-11111-1-1-1-1-1-122-2-2111111-1-1-1-1111100000000000000002-2-1-111000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-11111-1-1-1-1-1-1-2-2221111111111-1-1-1-10000000000000000-2211-1-1000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-11111-1-1111122-2-211-1-1-1-1-1-1-1-111110000000000000000-2211-1-1000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-11111-1-11111-2-22211-1-1-1-11111-1-1-1-100000000000000002-2-1-111000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-111112222-1-11111-1-1-1-1-1-1-1-10000000000000000-2-21111000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-11111-2-2-2-2-1-1111111111111000000000000000022-1-1-1-1000000
χ2922-222-2-2-2222-2-22-2-2-222-222-2-200000000-2-200002222-2-2000000000000000000000000002i−2i2i−2i2i2i−2i−2i000000000000
χ3022-222-2-2-2222-2-22-2-2-222-222-2-200000000-2-200002222-2-200000000000000000000000000−2i2i−2i2i−2i−2i2i2i000000000000
χ3122-222-2-2-2222-2-22-2-2-222-2-2-22200000000-2-2000022-2-222000000000000000000000000002i−2i2i−2i−2i−2i2i2i000000000000
χ3222-222-2-2-2222-2-22-2-2-222-2-2-22200000000-2-2000022-2-22200000000000000000000000000−2i2i−2i2i2i2i−2i−2i000000000000
χ3322-222-2-2-22-2-2222-2-2-222-200002i2i−2i−2i0000220000-2-200000000002i2i−2i−2i0000000022-2-200002i−2i−2i2i0000000000000000
χ3422-222-2-2-22-2-2222-2-2-222-200002i2i−2i−2i0000220000-2-200000000002i2i−2i−2i00000000-2-2220000−2i2i2i−2i0000000000000000
χ3522-222-2-2-22-2-2222-2-2-222-20000−2i−2i2i2i0000220000-2-20000000000−2i−2i2i2i0000000022-2-20000−2i2i2i−2i0000000000000000
χ3622-222-2-2-22-2-2222-2-2-222-20000−2i−2i2i2i0000220000-2-20000000000−2i−2i2i2i00000000-2-22200002i−2i−2i2i0000000000000000
χ372-22-222-2-222-22-2-222-2-22-2000000002i−2i2i−2i2-22i2i−2i−2i2-2000000002i−2i0000000000002-22-2000000002i−2i2i−2i000000000000
χ382-22-222-2-222-22-2-222-2-22-2000000002i−2i2i−2i2-22i2i−2i−2i2-2000000002i−2i000000000000-22-2200000000−2i2i−2i2i000000000000
χ392-22-222-2-222-22-2-222-2-22-200000000−2i2i−2i2i2-2−2i−2i2i2i2-200000000−2i2i0000000000002-22-200000000−2i2i−2i2i000000000000
χ402-22-222-2-222-22-2-222-2-22-200000000−2i2i−2i2i2-2−2i−2i2i2i2-200000000−2i2i000000000000-22-22000000002i−2i2i−2i000000000000
χ412-22-222-2-22-22-22-222-2-22-22-22-22i−2i2i−2i2i−2i−2i2i-222i2i−2i−2i-222-22-20000−2i2i2i−2i2i−2i000000000000000000000000000000000000
χ422-22-222-2-22-22-22-222-2-22-22-22-2−2i2i−2i2i−2i2i2i−2i-22−2i−2i2i2i-222-22-200002i−2i−2i2i−2i2i000000000000000000000000000000000000
χ432-22-222-2-22-22-22-222-2-22-2-22-222i−2i2i−2i−2i2i2i−2i-22−2i−2i2i2i-22-22-2200002i−2i2i−2i2i−2i000000000000000000000000000000000000
χ442-22-222-2-22-22-22-222-2-22-2-22-22−2i2i−2i2i2i−2i−2i2i-222i2i−2i−2i-22-22-220000−2i2i−2i2i−2i2i000000000000000000000000000000000000
χ452-22-222-2-2-1-22-221-1-111-112-22-22i−2i2i−2i2i−2i−2i2i1-1−i−iii1-1-11-110000i−i−ii−ii33−3−3−i3−i3i3i30000000000000000003−3−i3i3000000
χ462-22-222-2-2-1-22-221-1-111-112-22-22i−2i2i−2i2i−2i−2i2i1-1−i−iii1-1-11-110000i−i−ii−ii−3−333i3i3−i3−i3000000000000000000−33i3−i3000000
χ472-22-222-2-2-1-22-221-1-111-112-22-2−2i2i−2i2i−2i2i2i−2i1-1ii−i−i1-1-11-110000−iii−ii−i33−3−3i3i3−i3−i30000000000000000003−3i3−i3000000
χ482-22-222-2-2-1-22-221-1-111-112-22-2−2i2i−2i2i−2i2i2i−2i1-1ii−i−i1-1-11-110000−iii−ii−i−3−333−i3−i3i3i3000000000000000000−33−i3i3000000
χ492-22-222-2-2-1-22-221-1-111-11-22-222i−2i2i−2i−2i2i2i−2i1-1ii−i−i1-11-11-10000−ii−ii−ii33−3−3i3i3−i3−i3000000000000000000−33−i3i3000000
χ502-22-222-2-2-1-22-221-1-111-11-22-222i−2i2i−2i−2i2i2i−2i1-1ii−i−i1-11-11-10000−ii−ii−ii−3−333−i3−i3i3i30000000000000000003−3i3−i3000000
χ512-22-222-2-2-1-22-221-1-111-11-22-22−2i2i−2i2i2i−2i−2i2i1-1−i−iii1-11-11-10000i−ii−ii−i33−3−3−i3−i3i3i3000000000000000000−33i3−i3000000
χ522-22-222-2-2-1-22-221-1-111-11-22-22−2i2i−2i2i2i−2i−2i2i1-1−i−iii1-11-11-10000i−ii−ii−i−3−333i3i3−i3−i30000000000000000003−3−i3i3000000
χ532-2-2-22-22222-2-22-2-2-22-22200002-2-220000-2200002-200000000002-2-220000000000002-22-200002-2-22000000000000
χ542-2-2-22-22222-2-22-2-2-22-22200002-2-220000-2200002-200000000002-2-22000000000000-22-220000-222-2000000000000
χ552-2-2-22-22222-2-22-2-2-22-2220000-222-20000-2200002-20000000000-222-20000000000002-22-20000-222-2000000000000
χ562-2-2-22-22222-2-22-2-2-22-2220000-222-20000-2200002-20000000000-222-2000000000000-22-2200002-2-22000000000000
χ572-2-2-22-2222-222-2-2-2-22-2222-2-22000000002-20000-222-2-220000000000000000002-2-22-222-200000000000000000000
χ582-2-2-22-2222-222-2-2-2-22-2222-2-22000000002-20000-222-2-22000000000000000000-222-22-2-2200000000000000000000
χ592-2-2-22-2222-222-2-2-2-22-222-222-2000000002-20000-22-222-20000000000000000002-2-222-2-2200000000000000000000
χ602-2-2-22-2222-222-2-2-2-22-222-222-2000000002-20000-22-222-2000000000000000000-222-2-222-200000000000000000000
χ6144444444-2-4-4-4-4-2-2-2-2-2-2-20000000044-4-422-2-2-2-22200000000220000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-2-2-2-2-2-2-200000000-4-4442222222200000000-2-20000000000000000000000000000000000000000
χ63444-4-4-4-444000044-44-4-4-40000000000000000000000000000000000000000000000000000000000000000−2i22i20000
χ64444-4-4-4-444000044-44-4-4-400000000000000000000000000000000000000000000000000000000000000002i2−2i20000
χ6544-444-4-4-4-244-4-4-2222-2-2244-4-400000000220000-2-2-2-2220000000000000000000000000000000000000000000000
χ6644-444-4-4-4-244-4-4-2222-2-22-4-44400000000220000-2-222-2-20000000000000000000000000000000000000000000000
χ6744-444-4-4-4-2-4-444-2222-2-2200004i4i−4i−4i0000-2-20000220000000000−2i−2i2i2i000000000000000000000000000000000000
χ6844-444-4-4-4-2-4-444-2222-2-220000−4i−4i4i4i0000-2-200002200000000002i2i−2i−2i000000000000000000000000000000000000
χ6944-4-4-444-4400004-44-4-4-4400000000000000000000000000−2i22i20000000000−2i22i2−2i22i20000000000000000000000000000
χ7044-4-4-444-4400004-44-4-4-44000000000000000000000000002i2−2i200000000002i2−2i22i2−2i20000000000000000000000000000
χ7144-4-4-444-4-20000-22-2222-200000000000000−2i32i3−2i32i300000000−2i22i20000006−66−6i2−i2i2−i20000000000000000000000000000
χ7244-4-4-444-4-20000-22-2222-200000000000000−2i32i3−2i32i3000000002i2−2i2000000−66−66−i2i2−i2i20000000000000000000000000000
χ7344-4-4-444-4-20000-22-2222-2000000000000002i3−2i32i3−2i300000000−2i22i2000000−66−66i2−i2i2−i20000000000000000000000000000
χ7444-4-4-444-4-20000-22-2222-2000000000000002i3−2i32i3−2i3000000002i2−2i20000006−66−6−i2i2−i2i20000000000000000000000000000
χ754-444-4-44-440000-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ764-444-4-44-440000-44-4-44-440000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ774-44-444-4-4-24-44-42-2-222-22000000004i−4i4i−4i-22−2i−2i2i2i-2200000000−2i2i0000000000000000000000000000000000000000
χ784-44-444-4-4-24-44-42-2-222-2200000000−4i4i−4i4i-222i2i−2i−2i-22000000002i−2i0000000000000000000000000000000000000000
χ794-4-44-44-4440000-4-4444-4-400000000000000000000000022−220000000022−22−222200000000000000000000000000000000
χ804-4-44-44-4440000-4-4444-4-4000000000000000000000000−222200000000−222222−2200000000000000000000000000000000
χ814-4-44-44-44-2000022-2-2-2220000000000000023−23−232300000022−2200000000−222−26−6−660000000000000000000000000000
χ824-4-44-44-44-2000022-2-2-2220000000000000023−23−2323000000−2222000000002−2−22−666−60000000000000000000000000000
χ834-4-44-44-44-2000022-2-2-22200000000000000−232323−2300000022−2200000000−222−2−666−60000000000000000000000000000
χ844-4-44-44-44-2000022-2-2-22200000000000000−232323−23000000−2222000000002−2−226−6−660000000000000000000000000000
χ854-4-4-44-444-24-4-44222-22-2-200004-4-4400002-20000-220000000000-222-2000000000000000000000000000000000000
χ864-4-4-44-444-24-4-44222-22-2-20000-444-400002-20000-2200000000002-2-22000000000000000000000000000000000000
χ874-4-4-44-444-2-444-4222-22-2-24-4-4400000000-2200002-2-222-20000000000000000000000000000000000000000000000
χ884-4-4-44-444-2-444-4222-22-2-2-444-400000000-2200002-22-2-220000000000000000000000000000000000000000000000
χ89888-8-8-8-88-40000-4-44-44440000000000000000000000000000000000000000000000000000000000000000000000
χ908-888-8-88-8-400004-444-44-40000000000000000000000000000000000000000000000000000000000000000000000

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