Finite Group Databasebeta

← Group #10695585

Character table — Group #10695585

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222444444444488881616161616161616161616161616161616162424242424242424242424244848
order12222222344666244466661212612121244448812121212121212122424242422444444444488
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ51111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111
χ9222222222-2-22222-2-2-22222-2-22-2-2-2000000000000000000002200-2-2000000
χ10222222222-2-22222-2-2-22222-2-22-2-2-200000000000000000000-2-20022000000
χ1122222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ1222222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000000000
χ1322222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000000000
χ1422222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000000000
χ15222222-2-2222222-22-2-2-2-22222-22-2-2002-200000022-2-2000000000000000000
χ16222222-2-2222222-22-2-2-2-22222-22-2-200-22000000-2-222000000000000000000
χ17222222-2-22-2-2222-2-222-2-222-2-2-2-2220000000000000000002200-2-200000000
χ18222222-2-22-2-2222-2-222-2-222-2-2-2-222000000000000000000-2-2002200000000
χ19222222-2-2-122-1-1-1-22-2-211-1-1-1-11-111002-200−i3i3−i3i3-1-111−i3−i3i3i300000000000000
χ20222222-2-2-122-1-1-1-22-2-211-1-1-1-11-111002-200i3−i3i3−i3-1-111i3i3−i3−i300000000000000
χ21222222-2-2-122-1-1-1-22-2-211-1-1-1-11-11100-2200−i3i3−i3i311-1-1i3i3−i3−i300000000000000
χ22222222-2-2-122-1-1-1-22-2-211-1-1-1-11-11100-2200i3−i3i3−i311-1-1−i3−i3i3i300000000000000
χ232222-2-222222222-2-22-222-2-222-2-22-20000000000000000000000000022-2-200
χ242222-2-222222222-2-22-222-2-222-2-22-200000000000000000000000000-2-22200
χ252222-2-2222-2-2222-22-2222-2-2-2-2-22-222-2000022-2-20000000000000000000000
χ262222-2-2222-2-2222-22-2222-2-2-2-2-22-22-220000-2-2220000000000000000000000
χ272222-2-222-1-2-2-1-1-1-22-22-1-111111-11-12-20000-1-1113−33−33−33−300000000000000
χ282222-2-222-1-2-2-1-1-1-22-22-1-111111-11-12-20000-1-111−33−33−33−3300000000000000
χ292222-2-222-1-2-2-1-1-1-22-22-1-111111-11-1-22000011-1-13−33−3−33−3300000000000000
χ302222-2-222-1-2-2-1-1-1-22-22-1-111111-11-1-22000011-1-1−33−333−33−300000000000000
χ312222-2-2-2-22222222-2-22-2-2-2-2222-2-220000000000000000000000000000002-2
χ322222-2-2-2-22222222-2-22-2-2-2-2222-2-22000000000000000000000000000000-22
χ332222-2-2-2-22-2-2222222-2-2-2-2-2-2-2222-200002i−2i000000002i−2i−2i2i00000000000000
χ342222-2-2-2-22-2-2222222-2-2-2-2-2-2-2222-20000−2i2i00000000−2i2i2i−2i00000000000000
χ352222-2-2-2-2-1-2-2-1-1-1222-2111111-1-1-1100002i−2i−i3i3i3−i33−3−33−iii−i00000000000000
χ362222-2-2-2-2-1-2-2-1-1-1222-2111111-1-1-1100002i−2ii3−i3−i3i3−333−3−iii−i00000000000000
χ372222-2-2-2-2-1-2-2-1-1-1222-2111111-1-1-110000−2i2i−i3i3i3−i3−333−3i−i−ii00000000000000
χ382222-2-2-2-2-1-2-2-1-1-1222-2111111-1-1-110000−2i2ii3−i3−i3i33−3−33i−i−ii00000000000000
χ3944444444-2-4-4-2-2-24-4-4-4-2-2-2-222-222200000000000000000000000000000000
χ40444444-4-4-2-4-4-2-2-2-4-44422-2-22222-2-200000000000000000000000000000000
χ414444-4-444-244-2-2-2-4-44-4-2-222-2-222-2200000000000000000000000000000000
χ424444-4-4-4-4-244-2-2-24-4-442222-2-2-222-200000000000000000000000000000000
χ4344-4-44-4004004-4-40000004-4000000000000000000000000000000002-22-200
χ4444-4-44-4004004-4-40000004-400000000000000000000000000000000-22-2200
χ4544-4-4-44004004-4-4000000-44000000000000000000000000000000002-2-2200
χ4644-4-4-44004004-4-4000000-4400000000000000000000000000000000-222-200
χ474-44-4000044i−4i-44-4000000004i−4i0000000000000000000000002-2002i−2i000000
χ484-44-4000044i−4i-44-4000000004i−4i000000000000000000000000-2200−2i2i000000
χ494-44-400004−4i4i-44-400000000−4i4i0000000000000000000000002-200−2i2i000000
χ504-44-400004−4i4i-44-400000000−4i4i000000000000000000000000-22002i−2i000000
χ514-4-44004-4400-4-4400004-4000000000000000000000000002-2002-200000000
χ524-4-44004-4400-4-4400004-400000000000000000000000000-2200-2200000000
χ534-4-4400-44400-4-440000-44000000000000000000000000002-200-2200000000
χ544-4-4400-44400-4-440000-4400000000000000000000000000-22002-200000000
χ5588-8-88-800-400-444000000-4400000000000000000000000000000000000000
χ5688-8-8-8800-400-4440000004-400000000000000000000000000000000000000
χ578-88-80000-48i−8i4-4400000000−4i4i000000000000000000000000000000000000
χ588-88-80000-4−8i8i4-44000000004i−4i000000000000000000000000000000000000
χ598-8-88008-8-40044-40000-440000000000000000000000000000000000000000
χ608-8-8800-88-40044-400004-40000000000000000000000000000000000000000

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