Finite Group Databasebeta

← Group #10877386

Character table — Group #10877386

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222222222222444444444444444466666666666688888888888888881212121212121212121216161616161616161616242424244848
order1222222234444666666644448888888812121212222288888888444412121212242424242424242444444488882466121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1-1-1-1-111-11
χ7111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-11-1
χ911111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111-111-1-111-1-111-1-1-11
χ1011111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-11-1-111-1-111-1-1111-1
χ1111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11-111-1-111-1-1-1-1111-1
χ1211111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-11-1-111-1-11111-1-1-11
χ1311111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1111111-1-1
χ17222222222-2-2-2-2222222222-2-200000000-2-2-2-2222200000000000022-2-20000000022-2-2-2-200000000000000000000
χ18222222222-2-2-2-2222222222-2-200000000-2-2-2-2-2-2-2-200000000000022-2-200000000-2-2222200000000000000000000
χ19222222222-2-2-2-22222222-2-22200000000-2-2-2-22222000000000000-2-22200000000-2-2-2-22200000000000000000000
χ20222222222-2-2-2-22222222-2-22200000000-2-2-2-2-2-2-2-2000000000000-2-222000000002222-2-200000000000000000000
χ2122222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-10000000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-1-1-1-1-1000000
χ2222222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1000000000000-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-211111111000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-100000000000022-2-2-1-1-1-1111111110000000000-221111-1-1-1-1000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1000000000000-2-222-1-1-1-11111111100000000002-2-1-1-1-11111000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-100000000000022-2-21111-1-1-1-1111100000000002-2-1-111-1-111000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1000000000000-2-2221111-1-1-1-111110000000000-2211-1-111-1-1000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1000000000000222211111111-1-1-1-10000000000-2-211-1-1-1-111000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1000000000000-2-2-2-211111111-1-1-1-1000000000022-1-11111-1-1000000
χ2922-2-22-2-2222-2-222-2-22-22-200002i2i−2i−2i00002-22-222-2-200000000000000002i2i−2i−2i0000002-2002i2i−2i−2i0000000000000000
χ3022-2-22-2-2222-2-222-2-22-22-200002i2i−2i−2i00002-22-2-2-22200000000000000002i2i−2i−2i000000-2200−2i−2i2i2i0000000000000000
χ3122-2-22-2-2222-2-222-2-22-22-20000−2i−2i2i2i00002-22-222-2-20000000000000000−2i−2i2i2i0000002-200−2i−2i2i2i0000000000000000
χ3222-2-22-2-2222-2-222-2-22-22-20000−2i−2i2i2i00002-22-2-2-2220000000000000000−2i−2i2i2i000000-22002i2i−2i−2i0000000000000000
χ3322-2-22-2-222-222-22-2-22-22-2000000002i2i−2i−2i-22-2222-2-22i2i2i2i−2i−2i−2i−2i0000000000002i2i−2i−2i00-220000000000000000000000
χ3422-2-22-2-222-222-22-2-22-22-2000000002i2i−2i−2i-22-22-2-222−2i−2i−2i−2i2i2i2i2i0000000000002i2i−2i−2i002-20000000000000000000000
χ3522-2-22-2-222-222-22-2-22-22-200000000−2i−2i2i2i-22-2222-2-2−2i−2i−2i−2i2i2i2i2i000000000000−2i−2i2i2i00-220000000000000000000000
χ3622-2-22-2-222-222-22-2-22-22-200000000−2i−2i2i2i-22-22-2-2222i2i2i2i−2i−2i−2i−2i000000000000−2i−2i2i2i002-20000000000000000000000
χ372-222-2-2-2220000-22-2-222-22-200−i2i2−i2i2−i2i2−i2i200002-22-2−i2−i2i2i2−i2−i2i2i200002-200−i2i2−i2i2−i2i2−i2i22-20000−i2i2−i2i20000000000000000
χ382-222-2-2-2220000-22-2-222-22-200−i2i2−i2i2−i2i2−i2i20000-22-22i2i2−i2−i2i2i2−i2−i200002-200−i2i2−i2i2−i2i2−i2i2-220000i2−i2i2−i20000000000000000
χ392-222-2-2-2220000-22-2-222-22-200i2−i2i2−i2i2−i2i2−i200002-22-2i2i2−i2−i2i2i2−i2−i200002-200i2−i2i2−i2i2−i2i2−i22-20000i2−i2i2−i20000000000000000
χ402-222-2-2-2220000-22-2-222-22-200i2−i2i2−i2i2−i2i2−i20000-22-22−i2−i2i2i2−i2−i2i2i200002-200i2−i2i2−i2i2−i2i2−i2-220000−i2i2−i2i20000000000000000
χ412-222-2-2-2220000-22-2-222-2-2200−i2i2−i2i2i2−i2i2−i200002-22-2i2i2−i2−i2i2i2−i2−i20000-2200−i2i2−i2i2i2−i2i2−i2-220000−i2i2−i2i20000000000000000
χ422-222-2-2-2220000-22-2-222-2-2200−i2i2−i2i2i2−i2i2−i20000-22-22−i2−i2i2i2−i2−i2i2i20000-2200−i2i2−i2i2i2−i2i2−i22-20000i2−i2i2−i20000000000000000
χ432-222-2-2-2220000-22-2-222-2-2200i2−i2i2−i2−i2i2−i2i200002-22-2−i2−i2i2i2−i2−i2i2i20000-2200i2−i2i2−i2−i2i2−i2i2-220000i2−i2i2−i20000000000000000
χ442-222-2-2-2220000-22-2-222-2-2200i2−i2i2−i2−i2i2−i2i20000-22-22i2i2−i2−i2i2i2−i2−i20000-2200i2−i2i2−i2−i2i2−i2i22-20000−i2i2−i2i20000000000000000
χ452-22-22-22-2222-2-2-2-2-222-220000000000002-2-2200002i−2i2i−2i2i−2i2i−2i2-20000000000000000000000000000002-200002i−2i00
χ462-22-22-22-2222-2-2-2-2-222-220000000000002-2-2200002i−2i2i−2i2i−2i2i−2i-22000000000000000000000000000000-220000−2i2i00
χ472-22-22-22-2222-2-2-2-2-222-220000000000002-2-220000−2i2i−2i2i−2i2i−2i2i2-20000000000000000000000000000002-20000−2i2i00
χ482-22-22-22-2222-2-2-2-2-222-220000000000002-2-220000−2i2i−2i2i−2i2i−2i2i-22000000000000000000000000000000-2200002i−2i00
χ492-2-2222-2-22-22-22-2222-2-2-2000000000000-2-22200002-22-2-22-22002i−2i000000000000000000000000002i−2i00002i−2i0000
χ502-2-2222-2-22-22-22-2222-2-2-2000000000000-2-22200002-22-2-22-2200−2i2i00000000000000000000000000−2i2i0000−2i2i0000
χ512-2-2222-2-22-22-22-2222-2-2-2000000000000-2-2220000-22-222-22-2002i−2i000000000000000000000000002i−2i0000−2i2i0000
χ522-2-2222-2-22-22-22-2222-2-2-2000000000000-2-2220000-22-222-22-200−2i2i00000000000000000000000000−2i2i00002i−2i0000
χ532-2-2-2-222220000-2-22-2-222002-22−2−222−2−2200002-2-2222−2−2−2−2220000002-22−2−222−2−2200002-22−2−220000000000000000
χ542-2-2-2-222220000-2-22-2-222002-22−2−222−2−220000-222-2−2−22222−2−20000002-22−2−222−2−220000-22−222−20000000000000000
χ552-2-2-2-222220000-2-22-2-222002-2−222−2−222−200002-2-22−2−22222−2−20000002-2−222−2−222−200002-2−222−20000000000000000
χ562-2-2-2-222220000-2-22-2-222002-2−222−2−222−20000-222-222−2−2−2−2220000002-2−222−2−222−20000-222−2−220000000000000000
χ572-2-2-2-222220000-2-22-2-22200-222−2−22−222−200002-2-22−2−22222−2−2000000-222−2−22−222−20000-222−2−220000000000000000
χ582-2-2-2-222220000-2-22-2-22200-222−2−22−222−20000-222-222−2−2−2−222000000-222−2−22−222−200002-2−222−20000000000000000
χ592-2-2-2-222220000-2-22-2-22200-22−222−22−2−2200002-2-2222−2−2−2−222000000-22−222−22−2−220000-22−222−20000000000000000
χ602-2-2-2-222220000-2-22-2-22200-22−222−22−2−220000-222-2−2−22222−2−2000000-22−222−22−2−2200002-22−2−220000000000000000
χ6144444444-2-4-4-4-4-2-2-2-2-2-2-244-4-40000000022220000000000000000-2-2220000000000000000000000000000000000
χ6244444444-2-4-4-4-4-2-2-2-2-2-2-2-4-444000000002222000000000000000022-2-20000000000000000000000000000000000
χ63444-4-44-4-4400004-44-44-4-40000000000000000000022−22−222222−22−2222000000000000000000000000000000000000000000
χ64444-4-44-4-4400004-44-44-4-400000000000000000000−222222−22−222222−22000000000000000000000000000000000000000000
χ6544-44-4-44-44000044-4-4-4-4400000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000000
χ6644-44-4-44-44000044-4-4-4-44000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000000
χ6744-4-44-4-44-24-4-44-222-22-2200004i4i−4i−4i0000-22-2200000000000000000000−2i−2i2i2i000000000000000000000000000000
χ6844-4-44-4-44-24-4-44-222-22-220000−4i−4i4i4i0000-22-22000000000000000000002i2i−2i−2i000000000000000000000000000000
χ6944-4-44-4-44-2-444-4-222-22-22000000004i4i−4i−4i2-22-2000000000000000000000000−2i−2i2i2i00000000000000000000000000
χ7044-4-44-4-44-2-444-4-222-22-2200000000−4i−4i4i4i2-22-20000000000000000000000002i2i−2i−2i00000000000000000000000000
χ714-444-4-4-44-200002-222-2-224-400−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000-2200i2−i2i2−i2i2−i2i2−i200000000000000000000000000
χ724-444-4-4-44-200002-222-2-224-4002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000-2200−i2i2−i2i2−i2i2−i2i200000000000000000000000000
χ734-444-4-4-44-200002-222-2-22-4400−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000002-200i2−i2i2−i2−i2i2−i2i200000000000000000000000000
χ744-444-4-4-44-200002-222-2-22-44002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000002-200−i2i2−i2i2i2−i2i2−i200000000000000000000000000
χ754-44-44-44-44-4-444-4-4-444-44000000000000-444-4000000000000000000000000000000000000000000000000000000
χ764-44-44-44-4-244-4-4222-2-22-2000000000000-222-20000000000004-4000000000000000000000000000000-2200000000
χ774-44-44-44-4-244-4-4222-2-22-2000000000000-222-2000000000000-440000000000000000000000000000002-200000000
χ784-44-44-44-4-2-4-444222-2-22-20000000000002-2-220000000000000000000000000000000000000000000000−2i32i3000000
χ794-44-44-44-4-2-4-444222-2-22-20000000000002-2-2200000000000000000000000000000000000000000000002i3−2i3000000
χ804-4-4444-4-444-44-4-4444-4-4-400000000000044-4-4000000000000000000000000000000000000000000000000000000
χ814-4-4444-4-4-24-44-42-2-2-2222000000000000-2-2220000000000000000000000000000000000000000−2i32i3000000000000
χ824-4-4444-4-4-24-44-42-2-2-2222000000000000-2-22200000000000000000000000000000000000000002i3−2i3000000000000
χ834-4-4444-4-4-2-44-442-2-2-222200000000000022-2-2000000000000004i−4i00000000000000000000000000−2i2i0000000000
χ844-4-4444-4-4-2-44-442-2-2-222200000000000022-2-200000000000000−4i4i000000000000000000000000002i−2i0000000000
χ854-4-4-4-4444-2000022-222-2-2004-422−22−222222−22−22220000000000000000000000-22−222−2−222−200000000000000000000000000
χ864-4-4-4-4444-2000022-222-2-2004-4−222222−22−222222−220000000000000000000000-222−2−222−2−2200000000000000000000000000
χ874-4-4-4-4444-2000022-222-2-200-4422−22−2222−222222−2200000000000000000000002-2−222−22−2−2200000000000000000000000000
χ884-4-4-4-4444-2000022-222-2-200-44−222222−2222−22−222200000000000000000000002-22−2−22−222−200000000000000000000000000
χ89888-8-88-8-8-40000-44-44-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-88-8-88-8-40000-4-44444-40000000000000000000000000000000000000000000000000000000000000000000000

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