Finite Group Databasebeta

← Group #10835939

Character table — Group #10835939

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111111112222222222224444444488888888888888888888121212121212121212121212161616161616161616162424242424244848
order12222222344446666666888812121212222444668812122424242424242424444444448888446612121212121244448844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1111-1-1-1-11111-1-1-1-11-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1111-1-1-1-111-1-11111-11
χ51111111111111111111111111111-1-11-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-111-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111-1-1-11111-1-1-1-111-1-1-11
χ81111111111111111111111111111-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11-1-1-11111-1-111-1-1111-1
χ911111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ1111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11-111-1-111-1-111-1-111-11
χ1211111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111111-111-1-111-1-1-1-111-1-11-1
χ1311111111111111111111-1-1-1-11111-1-11-1-1111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111
χ1411111111111111111111-1-1-1-11111-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1
χ1511111111111111111111-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-11-1-111-1-111-1-111111-1
χ1611111111111111111111-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-1-11111-1-111-1-1111111-11-1-111-1-11111-1-1-1-1-11
χ17222222222-2-2-2-222222220000-2-2-2-200200-22200-2-20000000022-2-2-2-2220000000000000000000000
χ18222222222-2-2-2-222222220000-2-2-2-200200-22200-2-200000000-2-22222-2-20000000000000000000000
χ19222222222-2-2-2-222222220000-2-2-2-200-2002-2-20022000000002222-2-2-2-20000000000000000000000
χ20222222222-2-2-2-222222220000-2-2-2-200-2002-2-2002200000000-2-2-2-222220000000000000000000000
χ2122222222-12222-1-1-1-1-1-1-12222-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1-1-1-1-100000000
χ2222222222-12222-1-1-1-1-1-1-12222-1-1-1-122-2-2-2-211-2-211-1-1-1-11111000000000000-22-1-11111-1-100000000
χ2322222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-22-2-22-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-21111111100000000
χ2422222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-222-211-2-211-1-1-1-111110000000000002-211-1-1-1-11100000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1222222-1-1-2-2-1-111111111000000000000-2-2-1-1-1-1111100000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-2-2-2-21122111111-1-1-1-10000000000002-2-1-111-1-11100000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-22-2-22-1-1-2-2-1-111111111000000000000221111-1-1-1-100000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2-222-21122111111-1-1-1-1000000000000-2211-1-111-1-100000000
χ29222-2-2-22-222-22-22-2-2-22-2200002-22-22-20000000000000000002i−2i002i−2i000000002-20000002i−2i000000
χ30222-2-2-22-222-22-22-2-2-22-2200002-22-22-2000000000000000000−2i2i00−2i2i000000002-2000000−2i2i000000
χ31222-2-2-22-222-22-22-2-2-22-2200002-22-2-220000000000000000002i−2i002i−2i00000000-22000000−2i2i000000
χ32222-2-2-22-222-22-22-2-2-22-2200002-22-2-22000000000000000000−2i2i00−2i2i00000000-220000002i−2i000000
χ33222-2-2-22-22-22-222-2-2-22-220000-22-220002-20000000000000002i−2i00−2i2i00000000002-20000002i−2i0000
χ34222-2-2-22-22-22-222-2-2-22-220000-22-220002-2000000000000000−2i2i002i−2i00000000002-2000000−2i2i0000
χ35222-2-2-22-22-22-222-2-2-22-220000-22-22000-220000000000000002i−2i00−2i2i0000000000-22000000−2i2i0000
χ36222-2-2-22-22-22-222-2-2-22-220000-22-22000-22000000000000000−2i2i002i−2i0000000000-220000002i−2i0000
χ372-2-22-2-222222-2-2-222-2-2-22000022-2-2000000002i−2i0000002i2i−2i−2i002-2002-22i2i−2i−2i000000000000000000
χ382-2-22-2-222222-2-2-222-2-2-22000022-2-2000000002i−2i0000002i2i−2i−2i00-2200-22−2i−2i2i2i000000000000000000
χ392-2-22-2-222222-2-2-222-2-2-22000022-2-200000000−2i2i000000−2i−2i2i2i002-2002-2−2i−2i2i2i000000000000000000
χ402-2-22-2-222222-2-2-222-2-2-22000022-2-200000000−2i2i000000−2i−2i2i2i00-2200-222i2i−2i−2i000000000000000000
χ412-2-22-2-2222-2-222-222-2-2-2222-2-2-2-22200000000000022-2-20000002-200-220000000000000000002-200
χ422-2-22-2-2222-2-222-222-2-2-2222-2-2-2-22200000000000022-2-2000000-22002-2000000000000000000-2200
χ432-2-22-2-2222-2-222-222-2-2-22-2-222-2-222000000000000-2-2220000002-200-22000000000000000000-2200
χ442-2-22-2-2222-2-222-222-2-2-22-2-222-2-222000000000000-2-222000000-22002-20000000000000000002-200
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-20000222200400-4-2-2002200000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-20000222200-40042200-2-200000000000000000000000000000000000000
χ47444-4-4-44-4-24-44-4-2222-22-20000-22-224-400000000000000000000000000000000-2200000000000000
χ48444-4-4-44-4-24-44-4-2222-22-20000-22-22-44000000000000000000000000000000002-200000000000000
χ49444-4-4-44-4-2-44-44-2222-22-200002-22-20004-40000000000000000000000000000000-22000000000000
χ50444-4-4-44-4-2-44-44-2222-22-200002-22-2000-4400000000000000000000000000000002-2000000000000
χ5144-444-4-4-44000044-44-4-4-400000000000000000000000000000000000022−2222−22000000000000000000
χ5244-444-4-4-44000044-44-4-4-4000000000000000000000000000000000000−2222−2222000000000000000000
χ5344-4-4-44-44400004-44-4-44-4−2i22i2−2i22i20000000000000000−2i22i2−2i22i20000000000000000000000000000000000
χ5444-4-4-44-44400004-44-4-44-42i2−2i22i2−2i200000000000000002i2−2i22i2−2i20000000000000000000000000000000000
χ5544-4-4-44-44-20000-22-222-22−2i22i2−2i22i20000000000000023−23i2−i2i2−i2i6−i6i6−i6000000000000000000000000000000
χ5644-4-4-44-44-20000-22-222-22−2i22i2−2i22i200000000000000−2323i2−i2i2−i2−i6i6−i6i6000000000000000000000000000000
χ5744-4-4-44-44-20000-22-222-222i2−2i22i2−2i20000000000000023−23−i2i2−i2i2−i6i6−i6i6000000000000000000000000000000
χ5844-4-4-44-44-20000-22-222-222i2−2i22i2−2i200000000000000−2323−i2i2−i2i2i6−i6i6−i6000000000000000000000000000000
χ594-444-44-4-440000-44-4-444-4000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ604-444-44-4-440000-44-4-444-40000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ614-44-44-4-4440000-4-4444-4-4−2i22i22i2−2i20000000000000000−2i22i22i2−2i20000000000000000000000000000000000
χ624-44-44-4-4440000-4-4444-4-42i2−2i2−2i22i200000000000000002i2−2i2−2i22i20000000000000000000000000000000000
χ634-44-44-4-44-2000022-2-2-222−2i22i22i2−2i20000000000−2i32i30000i2−i2−i2i26−6−66000000000000000000000000000000
χ644-44-44-4-44-2000022-2-2-222−2i22i22i2−2i200000000002i3−2i30000i2−i2−i2i2−666−6000000000000000000000000000000
χ654-44-44-4-44-2000022-2-2-2222i2−2i2−2i22i20000000000−2i32i30000−i2i2i2−i2−666−6000000000000000000000000000000
χ664-44-44-4-44-2000022-2-2-2222i2−2i2−2i22i200000000002i3−2i30000−i2i2i2−i26−6−66000000000000000000000000000000
χ674-4-44-4-444-244-4-42-2-2222-20000-2-222000000004i−4i000000−2i−2i2i2i000000000000000000000000000000
χ684-4-44-4-444-244-4-42-2-2222-20000-2-22200000000−4i4i0000002i2i−2i−2i000000000000000000000000000000
χ694-4-44-4-444-2-4-4442-2-2222-244-4-422-2-2000000000000-2-2220000000000000000000000000000000000
χ704-4-44-4-444-2-4-4442-2-2222-2-4-44422-2-200000000000022-2-20000000000000000000000000000000000
χ714-4-4-4444-444-4-44-4-4-44-44400004-4-4400000000000000000000000000000000000000000000000000
χ724-4-4-4444-44-444-4-4-4-44-4440000-444-400000000000000000000000000000000000000000000000000
χ734-4-4-4444-4-24-4-44222-22-2-20000-222-200000000000000000000000000000000000000−2i32i30000000000
χ744-4-4-4444-4-24-4-44222-22-2-20000-222-2000000000000000000000000000000000000002i3−2i30000000000
χ754-4-4-4444-4-2-444-4222-22-2-200002-2-220000000000000000000000000000000000000000−2i32i300000000
χ764-4-4-4444-4-2-444-4222-22-2-200002-2-2200000000000000000000000000000000000000002i3−2i300000000
χ7788-888-8-8-8-40000-4-44-44440000000000000000000000000000000000000000000000000000000000
χ788-888-88-8-8-400004-444-4-440000000000000000000000000000000000000000000000000000000000

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