Finite Group Databasebeta

← Group #11721201

Character table — Group #11721201

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size112224466668991212121212121818181818181824242424363636363636363636367272
order12346212336664436661212288881212666122446121224242424612
χ11111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1111111-11-1111-1-1-1-1-1-1
χ3111111111111-1-1111111-111-1-1-1-111111-1-1-1-1-1-1-1111-1
χ4111111111111-1-1111111-1-1-111-1-11111-1-11-1-1-111-1-1-11
χ511111-111111-1111-1-11111111111-1-1-11-1-1-11-1-11111-1-1
χ611111-111111-1111-1-11111-1-1-1-111-1-1-111-111-1-1-1-1-1-111
χ711111-111111-1-1-11-1-1111-111-1-1-1-1-1-1-11-111-111-1-111-11
χ811111-111111-1-1-11-1-1111-1-1-111-1-1-1-1-1111-1-11111-1-11-1
χ922222222-1-12200-122-12-10220000-1-1-1-120000000-1-1-10
χ1022222222-1-12200-122-12-10-2-20000-1-1-1-1-200000001110
χ112222222-122-1222-1-1-1-1-1220000-1-12-1-1-1020-1-1-1000000
χ122222222-122-12-2-2-1-1-1-1-12-20000112-1-1-10-20111000000
χ1322222-222-1-12-200-1-2-2-12-10220000111-1-20000000-1-110
χ1422222-222-1-12-200-1-2-2-12-10-2-20000111-12000000011-10
χ1522222-22-122-1-222-111-1-1220000-1-1-211-10-20-111000000
χ1622222-22-122-1-2-2-2-111-1-12-2000011-211-10201-1-1000000
χ17222-220-222220222002-2-2-2000022000-2000-200000000
χ18222-220-222220-2-22002-2-220000-2-2000-2000200000000
χ19222-220-2-122-1022-1−i3i3-11-2-20000-1-10−i3i310001−i3i3000000
χ20222-220-2-122-1022-1i3−i3-11-2-20000-1-10i3−i310001i3−i3000000
χ21222-220-2-122-10-2-2-1−i3i3-11-220000110−i3i31000-1i3−i3000000
χ22222-220-2-122-10-2-2-1i3−i3-11-220000110i3−i31000-1−i3i3000000
χ232-220-20022-2-202i−2i200-20002−2−i2i22i−2i0000000000−i2i22−200
χ242-220-20022-2-202i−2i200-2000−22i2−i22i−2i0000000000i2−i2−2200
χ252-220-20022-2-20−2i2i200-20002−2i2−i2−2i2i0000000000i2−i22−200
χ262-220-20022-2-20−2i2i200-2000−22−i2i2−2i2i0000000000−i2i2−2200
χ274444444-2-2-2-24001-2-21-2-20000000-2111000000000000
χ2844444-44-2-2-2-2-4001221-2-200000002-1-11000000000000
χ29444-440-44-2-24000-200-2-4200000000002000000000000
χ30444-440-4-2-2-2-20001−2i32i312200000000i3−i3-1000000000000
χ31444-440-4-2-2-2-200012i3−2i312200000000−i3i3-1000000000000
χ324-440-4004-22-4000-200200022−220000000000000000−2200
χ334-440-4004-22-4000-2002000−222200000000000000002−200
χ344-440-400-24-4204i−4i-20020000000−2i2i0000000000000000
χ354-440-400-24-420−4i4i-200200000002i−2i0000000000000000
χ3666-36-36-30000-30000000000022000000002000-1-1000-1
χ3766-36-36-30000-300000000000-2-200000000-2000110001
χ3866-36-3-6-300003000000000002200000000-2000-1-10001
χ3966-36-3-6-30000300000000000-2-200000000200011000-1
χ408-880-800-4-444000200-20000000000000000000000000
χ411212-6-12-606000000000000000000000000000000000000
χ4212-12-606000000000000000000−2i22i2000000000000i2−i20000
χ4312-12-6060000000000000000002i2−2i2000000000000−i2i20000

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