Finite Group Databasebeta

← Group #10834022

Character table — Group #10834022

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111111112222222222224444444488888888888888888888121212121212121212121212161616161616161616162424242424244848
order122222223444466666664444121212124444888812121212242424242424242422448888888844121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1
χ411111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-111-1-1
χ911111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-11111-1-111-1-1-1-1-11
χ1011111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-111111-1
χ1111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-1-1-1-1111111-1-1-1-11-1
χ1211111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-11111-11
χ1311111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-1-1-1111-1
χ1411111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-11
χ1511111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-11111-1-1-1-1-1-1-1-111-11
χ1611111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-11111-1-11-1
χ17222222222-2-2-2-2222222222-2-2-2-2-2-20000000022-2-20000000022-2-200000000000000000000-220000
χ18222222222-2-2-2-2222222222-2-2-2-2-2-20000000022-2-200000000-2-222000000000000000000002-20000
χ19222222222-2-2-2-22222222-2-222-2-2-2-200000000-2-2220000000022-2-2000000000000000000002-20000
χ20222222222-2-2-2-22222222-2-222-2-2-2-200000000-2-22200000000-2-22200000000000000000000-220000
χ2122222222-12222-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1-1-1-1-100000000
χ2222222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-2-2-2-2-1-1-1-111111111000000000000-2-2-1-111-1-11100000000
χ2322222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-21111111100000000
χ2422222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111110000000000002211-1-111-1-100000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-2-222-2-21111-1-1-1-111110000000000002-211-1-1-1-11100000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-2-2-2-22211111111-1-1-1-1000000000000-221111-1-1-1-100000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-22222-2-21111-1-1-1-11111000000000000-22-1-11111-1-100000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-222-2-22211111111-1-1-1-10000000000002-2-1-1-1-1111100000000
χ2922-22-2-22-222-22-22-2-22-22-22i−2i2i−2i2-22-2000000002i−2i2i−2i0000000000000000000000000000002-2002i−2i00
χ3022-22-2-22-222-22-22-2-22-22-22i−2i2i−2i2-22-2000000002i−2i2i−2i000000000000000000000000000000-2200−2i2i00
χ3122-22-2-22-222-22-22-2-22-22-2−2i2i−2i2i2-22-200000000−2i2i−2i2i0000000000000000000000000000002-200−2i2i00
χ3222-22-2-22-222-22-22-2-22-22-2−2i2i−2i2i2-22-200000000−2i2i−2i2i000000000000000000000000000000-22002i−2i00
χ3322-22-2-22-22-22-222-2-22-22-22i−2i−2i2i-22-222-22i−2i00002i−2i−2i2i00000000000000000000002i−2i002-20000000000
χ3422-22-2-22-22-22-222-2-22-22-22i−2i−2i2i-22-22-22−2i2i00002i−2i−2i2i0000000000000000000000−2i2i00-220000000000
χ3522-22-2-22-22-22-222-2-22-22-2−2i2i2i−2i-22-222-2−2i2i0000−2i2i2i−2i0000000000000000000000−2i2i002-20000000000
χ3622-22-2-22-22-22-222-2-22-22-2−2i2i2i−2i-22-22-222i−2i0000−2i2i2i−2i00000000000000000000002i−2i00-220000000000
χ3722-22-2-22-2-1-22-22-111-11-112i−2i−2i2i1-11-12-22i−2i0000−iii−i−i3−i3i3i333−3−300000000000000−ii−i3i3-113−300000000
χ3822-22-2-22-2-1-22-22-111-11-112i−2i−2i2i1-11-12-22i−2i0000−iii−ii3i3−i3−i3−3−33300000000000000−iii3−i3-11−3300000000
χ3922-22-2-22-2-1-22-22-111-11-112i−2i−2i2i1-11-1-22−2i2i0000−iii−i−i3−i3i3i333−3−300000000000000i−ii3−i31-1−3300000000
χ4022-22-2-22-2-1-22-22-111-11-112i−2i−2i2i1-11-1-22−2i2i0000−iii−ii3i3−i3−i3−3−33300000000000000i−i−i3i31-13−300000000
χ4122-22-2-22-2-1-22-22-111-11-11−2i2i2i−2i1-11-12-2−2i2i0000i−i−ii−i3−i3i3i3−3−33300000000000000i−i−i3i3-11−3300000000
χ4222-22-2-22-2-1-22-22-111-11-11−2i2i2i−2i1-11-12-2−2i2i0000i−i−iii3i3−i3−i333−3−300000000000000i−ii3−i3-113−300000000
χ4322-22-2-22-2-1-22-22-111-11-11−2i2i2i−2i1-11-1-222i−2i0000i−i−ii−i3−i3i3i3−3−33300000000000000−iii3−i31-13−300000000
χ4422-22-2-22-2-1-22-22-111-11-11−2i2i2i−2i1-11-1-222i−2i0000i−i−iii3i3−i3−i333−3−300000000000000−ii−i3i31-1−3300000000
χ452-2-2-2222-2222-2-2-2-22-2-222000022-2-200002i−2i0000002i−2i2i−2i00002-22-22i2i−2i−2i0000000000000000000000
χ462-2-2-2222-2222-2-2-2-22-2-222000022-2-200002i−2i0000002i−2i2i−2i0000-22-22−2i−2i2i2i0000000000000000000000
χ472-2-2-2222-2222-2-2-2-22-2-222000022-2-20000−2i2i000000−2i2i−2i2i00002-22-2−2i−2i2i2i0000000000000000000000
χ482-2-2-2222-2222-2-2-2-22-2-222000022-2-20000−2i2i000000−2i2i−2i2i0000-22-222i2i−2i−2i0000000000000000000000
χ492-2-2-2222-22-2-222-2-22-2-2220000-2-2220000002-2000000002-22-22-2-22000022-2-2000000000000000000
χ502-2-2-2222-22-2-222-2-22-2-2220000-2-2220000002-2000000002-22-2-222-20000-2-222000000000000000000
χ512-2-2-2222-22-2-222-2-22-2-2220000-2-222000000-2200000000-22-222-2-220000-2-222000000000000000000
χ522-2-2-2222-22-2-222-2-22-2-2220000-2-222000000-2200000000-22-22-222-2000022-2-2000000000000000000
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-244-4-4222200000000-2-22200000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-2-4-44422220000000022-2-200000000000000000000000000000000000000
χ55444-4-44-4-44000044-4-4-4-4400000000000000000000000000000000000022−2222−22000000000000000000
χ56444-4-44-4-44000044-4-4-4-44000000000000000000000000000000000000−2222−2222000000000000000000
χ5744-44-4-44-4-24-44-4-222-22-224i−4i4i−4i-22-2200000000−2i2i−2i2i00000000000000000000000000000000000000
χ5844-44-4-44-4-24-44-4-222-22-22−4i4i−4i4i-22-22000000002i−2i2i−2i00000000000000000000000000000000000000
χ5944-4-44-4-44400004-44-44-4-400000000000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ6044-4-44-4-44400004-44-44-4-4000000000000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ614-4444-4-4-440000-4444-4-4-40000000000000000000000000000000022−22−22220000000000000000000000
χ624-4444-4-4-440000-4444-4-4-400000000000000000000000000000000−222222−220000000000000000000000
χ634-44-4-4-44444-4-44-44-4-444-400004-4-4400000000000000000000000000000000000000000000000000
χ644-44-4-4-4444-444-4-44-4-444-40000-444-400000000000000000000000000000000000000000000000000
χ654-44-4-4-444-24-4-442-222-2-220000-222-2000000000000000023−23−2323000000000000000000000000000000
χ664-44-4-4-444-24-4-442-222-2-220000-222-20000000000000000−232323−23000000000000000000000000000000
χ674-44-4-4-444-2-444-42-222-2-2200002-2-2200000000000023−23−23230000000000000000000000000000000000
χ684-44-4-4-444-2-444-42-222-2-2200002-2-22000000000000−232323−230000000000000000000000000000000000
χ694-4-44-44-4440000-4-4-444-4400000000000000000000000000000000000022−22−2222000000000000000000
χ704-4-44-44-4440000-4-4-444-44000000000000000000000000000000000000−222222−22000000000000000000
χ714-4-4-4444-4-244-4-422-222-2-20000-2-22200004i−4i000000−2i2i−2i2i0000000000000000000000000000000000
χ724-4-4-4444-4-244-4-422-222-2-20000-2-2220000−4i4i0000002i−2i2i−2i0000000000000000000000000000000000
χ734-4-4-4444-4-2-4-44422-222-2-2000022-2-20000004-400000000-22-22000000000000000000000000000000
χ744-4-4-4444-4-2-4-44422-222-2-2000022-2-2000000-44000000002-22-2000000000000000000000000000000
χ75888-8-88-8-8-40000-4-44444-40000000000000000000000000000000000000000000000000000000000
χ7688-8-88-8-88-40000-44-44-4440000000000000000000000000000000000000000000000000000000000
χ778-8888-8-8-8-400004-4-4-44440000000000000000000000000000000000000000000000000000000000
χ788-8-88-88-88-40000444-4-44-40000000000000000000000000000000000000000000000000000000000

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