Finite Group Databasebeta

← Group #10858777

Character table — Group #10858777

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444444444444444444444488888888888888888888888888121212121212121224242424242424244848
order122222223444444446666666224444444412121212121212121212121212121212121212121212121222444444666666121212121212121212121212888888884444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-11
χ1011111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11-1
χ1111111111111-1-1-1-1111111111-1-11111-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1211111111111-1-1-1-1111111111-1-11111-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1111-1
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-11
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-11
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1
χ17222222222-2-22222-2-22222222-2-2000022222222-2-2-2-22222000000002222000000-2-2-2-20000-2-200000000-2-2000000000000000000
χ18222222222-2-22222-2-22222222-2-20000-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-2-2-200000022-2-20000220000000022000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222000022-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002222000000-222200002200000000-2-2000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222220000-2-2222222-2-2-2-2-2-2-2-200000000-2-2-2-20000002-2220000-2-20000000022000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ2222222222-122222222-1-1-1-1-1-1-1222222-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-222-2-2-1-11111111111-1-1-1-111000000000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2-2-222-1-11111-1-111111111-1-1000000000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-11111111111112222-2-2-2-2-1-1-1-1-1-111-1-1-1-1111111000000000000000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2222222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-22-211-1-1-1-11111111111-1-1000000000000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-2-222-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-2-222-2-2-22111111-1-1-1-1-1-1111111000000000000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-222-2-21111-1-1-1-1111111111111-1-1-1-1-2-222222-211111111-1-1-1-1-1-1-1-1-1-1000000000000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1111111111111111122-2-222-2211-1-1-1-1-1-11111-1-1-1-111000000000000000000
χ2922222222-1-2-22222-2-2-1-1-1-1-1-1-1-2-200002222-1-1-1-11111-1-1-1-1−i3−i3−i3−i3i3i3i3i3-1-1-1-1000000-2-211−i3−i3i3i311−i3−i3i3i3−i3−i3i3i311000000000000000000
χ3022222222-1-2-22222-2-2-1-1-1-1-1-1-1-2-200002222-1-1-1-11111-1-1-1-1i3i3i3i3−i3−i3−i3−i3-1-1-1-1000000-2-211i3i3−i3−i311i3i3−i3−i3i3i3−i3−i311000000000000000000
χ3122222222-1-2-22222-2-2-1-1-1-1-1-1-1-2-20000-2-2-2-211111111-1-1-1-1−i3−i3−i3−i3i3i3i3i311110000002211i3i3−i3−i3-1-1i3i3−i3−i3−i3−i3i3i3-1-1000000000000000000
χ3222222222-1-2-22222-2-2-1-1-1-1-1-1-1-2-20000-2-2-2-211111111-1-1-1-1i3i3i3i3−i3−i3−i3−i311110000002211−i3−i3i3i3-1-1−i3−i3i3i3i3i3−i3−i3-1-1000000000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122000022-2-2111111111111−i3−i3−i3−i3i3i3i3i3-1-1-1-1000000-22-1-1−i3−i3i3i3-1-1i3i3−i3−i3i3i3−i3−i311000000000000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122000022-2-2111111111111i3i3i3i3−i3−i3−i3−i3-1-1-1-1000000-22-1-1i3i3−i3−i3-1-1−i3−i3i3i3−i3−i3i3i311000000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1220000-2-222-1-1-1-111111111−i3−i3−i3−i3i3i3i3i311110000002-2-1-1i3i3−i3−i311−i3−i3i3i3i3i3−i3−i3-1-1000000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1220000-2-222-1-1-1-111111111i3i3i3i3−i3−i3−i3−i311110000002-2-1-1−i3−i3i3i311i3i3−i3−i3−i3−i3i3i3-1-1000000000000000000
χ372222-2-2-2-222222-2-2-2-22-2-222-2-22-200000000000022-2-222-2-20000000000002-22-200002-22-22-2002-22-2000000000000000000000000
χ382222-2-2-2-222222-2-2-2-22-2-222-2-22-200000000000022-2-222-2-2000000000000-22-2200002-2-22-2200-22-22000000000000000000000000
χ392222-2-2-2-2222-2-222-2-22-2-222-2-2-2200000000000022-2-2-2-2220000000000002-2-220000-222-22-200-22-22000000000000000000000000
χ402222-2-2-2-2222-2-222-2-22-2-222-2-2-2200000000000022-2-2-2-222000000000000-222-20000-22-22-22002-22-2000000000000000000000000
χ412222-2-2-2-22-2-222-2-2222-2-222-2-2-222i2i−2i−2i00000000-2-22222-2-22i2i−2i−2i2i2i−2i−2i000000002i−2i00-2200000000002i−2i2i−2i00000000000000000000
χ422222-2-2-2-22-2-222-2-2222-2-222-2-2-22−2i−2i2i2i00000000-2-22222-2-2−2i−2i2i2i−2i−2i2i2i00000000−2i2i00-220000000000−2i2i−2i2i00000000000000000000
χ432222-2-2-2-22-2-2-2-222222-2-222-2-22-22i2i−2i−2i00000000-2-222-2-2222i2i−2i−2i2i2i−2i−2i00000000−2i2i002-20000000000−2i2i−2i2i00000000000000000000
χ442222-2-2-2-22-2-2-2-222222-2-222-2-22-2−2i−2i2i2i00000000-2-222-2-222−2i−2i2i2i−2i−2i2i2i000000002i−2i002-200000000002i−2i2i−2i00000000000000000000
χ452222-2-2-2-2-12222-2-2-2-2-111-1-1112-20000000033−3−3-1-111-1-11133−3−3−3−33333−3−32-22-20000-11-11-113−3-11-113−3−333−3000000000000000000
χ462222-2-2-2-2-12222-2-2-2-2-111-1-1112-20000000033−3−3-1-111-1-111−3−33333−3−333−3−3-22-220000-111-11-13−31-11-1−333−33−3000000000000000000
χ472222-2-2-2-2-12222-2-2-2-2-111-1-1112-200000000−3−333-1-111-1-11133−3−3−3−333−3−333-22-220000-111-11-1−331-11-13−3−33−33000000000000000000
χ482222-2-2-2-2-12222-2-2-2-2-111-1-1112-200000000−3−333-1-111-1-111−3−33333−3−3−3−3332-22-20000-11-11-11−33-11-11−333−3−33000000000000000000
χ492222-2-2-2-2-122-2-222-2-2-111-1-111-220000000033−3−3-1-11111-1-133−3−3−3−333−3−333-222-200001-11-11-13−3-11-11−333−3−33000000000000000000
χ502222-2-2-2-2-122-2-222-2-2-111-1-111-220000000033−3−3-1-11111-1-1−3−33333−3−3−3−3332-2-2200001-1-11-113−31-11-13−3−33−33000000000000000000
χ512222-2-2-2-2-122-2-222-2-2-111-1-111-2200000000−3−333-1-11111-1-133−3−3−3−33333−3−32-2-2200001-1-11-11−331-11-1−333−33−3000000000000000000
χ522222-2-2-2-2-122-2-222-2-2-111-1-111-2200000000−3−333-1-11111-1-1−3−33333−3−333−3−3-222-200001-11-11-1−33-11-113−3−333−3000000000000000000
χ532222-2-2-2-2-1-2-222-2-222-111-1-111-222i2i−2i−2i000033−3−311-1-1-1-111−i−iii−i−iii33−3−300002i−2i001-1−i3i3i3−i3−33−i3i3i3−i3−ii−ii−33000000000000000000
χ542222-2-2-2-2-1-2-222-2-222-111-1-111-222i2i−2i−2i0000−3−33311-1-1-1-111−i−iii−i−iii−3−33300002i−2i001-1i3−i3−i3i33−3i3−i3−i3i3−ii−ii3−3000000000000000000
χ552222-2-2-2-2-1-2-222-2-222-111-1-111-22−2i−2i2i2i000033−3−311-1-1-1-111ii−i−iii−i−i33−3−30000−2i2i001-1i3−i3−i3i3−33i3−i3−i3i3i−ii−i−33000000000000000000
χ562222-2-2-2-2-1-2-222-2-222-111-1-111-22−2i−2i2i2i0000−3−33311-1-1-1-111ii−i−iii−i−i−3−3330000−2i2i001-1−i3i3i3−i33−3−i3i3i3−i3i−ii−i3−3000000000000000000
χ572222-2-2-2-2-1-2-2-2-22222-111-1-1112-22i2i−2i−2i000033−3−311-1-111-1-1−i−iii−i−iii−3−3330000−2i2i00-11i3−i3−i3i3−33−i3i3i3−i3i−ii−i3−3000000000000000000
χ582222-2-2-2-2-1-2-2-2-22222-111-1-1112-22i2i−2i−2i0000−3−33311-1-111-1-1−i−iii−i−iii33−3−30000−2i2i00-11−i3i3i3−i33−3i3−i3−i3i3i−ii−i−33000000000000000000
χ592222-2-2-2-2-1-2-2-2-22222-111-1-1112-2−2i−2i2i2i000033−3−311-1-111-1-1ii−i−iii−i−i−3−33300002i−2i00-11−i3i3i3−i3−33i3−i3−i3i3−ii−ii3−3000000000000000000
χ602222-2-2-2-2-1-2-2-2-22222-111-1-1112-2−2i−2i2i2i0000−3−33311-1-111-1-1ii−i−iii−i−i33−3−300002i−2i00-11i3−i3−i3i33−3−i3i3i3−i3−ii−ii−33000000000000000000
χ6122-2-2-222-22002i−2i2i−2i0022-2-2-22-20000002i−2i2-22-22-200002i−2i2i−2i000000002i−2i2i−2i00000000000000000000000000−i2−i2i2i222−2−20000−i2i22−200
χ6222-2-2-222-22002i−2i2i−2i0022-2-2-22-20000002i−2i2-22-22-200002i−2i2i−2i000000002i−2i2i−2i00000000000000000000000000i2i2−i2−i2−2−2220000i2−i2−2200
χ6322-2-2-222-22002i−2i2i−2i0022-2-2-22-2000000−2i2i-22-22-2200002i−2i2i−2i00000000−2i2i−2i2i00000000000000000000000000−i2−i2i2i222−2−20000i2−i2−2200
χ6422-2-2-222-22002i−2i2i−2i0022-2-2-22-2000000−2i2i-22-22-2200002i−2i2i−2i00000000−2i2i−2i2i00000000000000000000000000i2i2−i2−i2−2−2220000−i2i22−200
χ6522-2-2-222-2200−2i2i−2i2i0022-2-2-22-20000002i−2i-22-22-220000−2i2i−2i2i000000002i−2i2i−2i00000000000000000000000000−i2−i2i2i2−2−2220000i2−i22−200
χ6622-2-2-222-2200−2i2i−2i2i0022-2-2-22-20000002i−2i-22-22-220000−2i2i−2i2i000000002i−2i2i−2i00000000000000000000000000i2i2−i2−i222−2−20000−i2i2−2200
χ6722-2-2-222-2200−2i2i−2i2i0022-2-2-22-2000000−2i2i2-22-22-20000−2i2i−2i2i00000000−2i2i−2i2i00000000000000000000000000−i2−i2i2i2−2−2220000−i2i2−2200
χ6822-2-2-222-2200−2i2i−2i2i0022-2-2-22-2000000−2i2i2-22-22-20000−2i2i−2i2i00000000−2i2i−2i2i00000000000000000000000000i2i2−i2−i222−2−20000i2−i22−200
χ692-22-22-22-222-200002-2-2-2-22-222002-22-2000000002-22-200002-22-22-22-20000000000000000000000000000002i−2i2i−2i00002i−2i00000000
χ702-22-22-22-222-200002-2-2-2-22-222002-22-2000000002-22-200002-22-22-22-2000000000000000000000000000000−2i2i−2i2i0000−2i2i00000000
χ712-22-22-22-222-200002-2-2-2-22-22200-22-22000000002-22-20000-22-22-22-220000000000000000000000000000002i−2i2i−2i0000−2i2i00000000
χ722-22-22-22-222-200002-2-2-2-22-22200-22-22000000002-22-20000-22-22-22-22000000000000000000000000000000−2i2i−2i2i00002i−2i00000000
χ732-22-2-22-222-2200002-2-2222-2-2-2002i−2i−2i2i00000000-222-200002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000002i−2i2i−2i002-2000000
χ742-22-2-22-222-2200002-2-2222-2-2-2002i−2i−2i2i00000000-222-200002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000−2i2i−2i2i00-22000000
χ752-22-2-22-222-2200002-2-2222-2-2-200−2i2i2i−2i00000000-222-20000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000002i−2i2i−2i00-22000000
χ762-22-2-22-222-2200002-2-2222-2-2-200−2i2i2i−2i00000000-222-20000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000−2i2i−2i2i002-2000000
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χ8344-4-4-444-4-2004i−4i4i−4i00-2-2222-220000004i−4i4-4-22-220000−2i2i−2i2i00000000−2i2i−2i2i00000000000000000000000000000000000000000000
χ8444-4-4-444-4-2004i−4i4i−4i00-2-2222-22000000−4i4i-442-22-20000−2i2i−2i2i000000002i−2i2i−2i00000000000000000000000000000000000000000000
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χ8644-4-4-444-4-200−4i4i−4i4i00-2-2222-22000000−4i4i4-4-22-2200002i−2i2i−2i000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ874-44-44-44-44-440000-44-4-4-44-44400000000000000-44-44000000000000000000000000000000000000000000000000000000000000
χ884-44-44-44-4-24-400004-4222-22-2-2004-44-400000000-22-220000-22-22-22-22000000000000000000000000000000000000000000000000
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χ904-44-44-44-4-2-440000-44222-22-2-2000000000000002-22-20000−2i32i3−2i32i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000
χ914-44-44-44-4-2-440000-44222-22-2-2000000000000002-22-200002i3−2i32i3−2i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000
χ924-44-4-44-4444-40000-44-4444-4-4-4000000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ934-44-4-44-44-24-40000-442-2-2-222200000000000000-222-2000023−23−2323−232323−23000000000000000000000000000000000000000000000000
χ944-44-4-44-44-24-40000-442-2-2-222200000000000000-222-20000−232323−2323−23−2323000000000000000000000000000000000000000000000000
χ954-44-4-44-44-2-4400004-42-2-2-2222004i−4i−4i4i000000002-2-220000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ964-44-4-44-44-2-4400004-42-2-2-222200−4i4i4i−4i000000002-2-2200002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ974-4-4444-4-4400000000-44-4-44-440000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ984-4-4444-4-4400000000-44-4-44-4400000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ994-4-44-4-444400000000-4-44-444-400000000000000000000000000000000000000000000000000000000000022−22−222200000000000000
χ1004-4-44-4-444400000000-4-44-444-4000000000000000000000000000000000000000000000000000000000000−222222−2200000000000000
χ1018-8-8888-8-8-4000000004-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-8-888-40000000044-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000

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