Finite Group Databasebeta

← Group #72270406

Character table — Group #72270406

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222244444444444444444888888888888816161616161616161616161616161616161616161616161624242424242424242424242432323232323248484848484848484848
order122223444462244666888812121212242444446688121224242444121212121212121216161616242448484848484848482444161616161616161688242424242222444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ4111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ51111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111
χ81111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1
χ911111111111-1-1-1-111111111111111111-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-11-11-111-11
χ1011111111111-1-1-1-111111111111111111-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-111-11-11-1-11-1
χ1111111111111-1-1-1-111111111111111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-111-1-1-11-1111-11
χ1211111111111-1-1-1-111111111111111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-1-111111-11-1-1-11-1
χ1311111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-11111-11-11-1-1-11
χ1411111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-11-11-1111-1
χ1511111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111-111-1-1111-11-1-1-1-11
χ1611111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-11-111-1-1-1-1-11-11111-1
χ17222222222222222222-2-2-2-22222-2-2000022-2-222-2-2-200000000000000-2-20000000022220000000000000000000000-2-2
χ18222222222222222222-2-2-2-22222-2-2000022-2-222-2-2-200000000000000-2-200000000-2-2-2-2000000000000000000000022
χ1922222222222-2-2-2-2222-2-2-2-22222-2-20000-2-222-2-2-2-2-200000000000000220000000022-2-200000000000000000000002-2
χ2022222222222-2-2-2-2222-2-2-2-22222-2-20000-2-222-2-2-2-2-2000000000000002200000000-2-2220000000000000000000000-22
χ2122222-12222-12222-1-1-12222-1-1-1-1-1-12222-1-122-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000000000
χ2222222-12222-12222-1-1-12222-1-1-1-1-1-12222-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111000000000000-2-211110000000000
χ2322222-12222-12222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-2-2111111112222-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000000000
χ2422222-12222-12222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-2-211111111-2-2-2-2-1-11111111100000000000022-1-1-1-10000000000
χ2522222-12222-1-2-2-2-2-1-1-12222-1-1-1-1-1-1222211-2-211-1-1-1-2-2-1-1-1-1111122-2-211-1-1-1-111110000000000002-2-1-1110000000000
χ2622222-12222-1-2-2-2-2-1-1-12222-1-1-1-1-1-1222211-2-211-1-1-1-2-2-1-1-1-11111-2-222111111-1-1-1-1000000000000-2211-1-10000000000
χ2722222-12222-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-2-2-2-211-2-211-1-1-1221111-1-1-1-122-2-211-1-1-1-11111000000000000-2211-1-10000000000
χ2822222-12222-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-2-2-2-211-2-211-1-1-1221111-1-1-1-1-2-222111111-1-1-1-10000000000002-2-1-1110000000000
χ29222-2-222-2-22200002-2-222-2-2-222-2222i2i−2i−2i000000-22-2002i2i−2i−2i000000000000000000000000002i2i−2i−2i00000000020-20000
χ30222-2-222-2-22200002-2-222-2-2-222-2222i2i−2i−2i000000-22-2002i2i−2i−2i00000000000000000000000000−2i−2i2i2i000000000-2020000
χ31222-2-222-2-22200002-2-222-2-2-222-222−2i−2i2i2i000000-22-200−2i−2i2i2i000000000000000000000000002i2i−2i−2i000000000-2020000
χ32222-2-222-2-22200002-2-222-2-2-222-222−2i−2i2i2i000000-22-200−2i−2i2i2i00000000000000000000000000−2i−2i2i2i00000000020-20000
χ3322-22-22-22-2220000-22-22-22-2-22-22222i−2i2i−2i000000-2-22002i−2i2i−2i00000000000000000000002i2i−2i−2i00000000000020-200000
χ3422-22-22-22-2220000-22-22-22-2-22-22222i−2i2i−2i000000-2-22002i−2i2i−2i0000000000000000000000−2i−2i2i2i000000000000-20200000
χ3522-22-22-22-2220000-22-22-22-2-22-2222−2i2i−2i2i000000-2-2200−2i2i−2i2i00000000000000000000002i2i−2i−2i000000000000-20200000
χ3622-22-22-22-2220000-22-22-22-2-22-2222−2i2i−2i2i000000-2-2200−2i2i−2i2i0000000000000000000000−2i−2i2i2i00000000000020-200000
χ3722-2-22222-2-2222-2-2-2-220000-2-2220000002200-2-200000000000002−22−20022−2−222−2−22-22-22−22−22−22−20000000000000000
χ3822-2-22222-2-2222-2-2-2-220000-2-2220000002200-2-200000000000002−22−20022−2−222−2−2-22-22−22−22−22−220000000000000000
χ3922-2-22222-2-2222-2-2-2-220000-2-2220000002200-2-20000000000000−22−2200−2−222−2−2222-22-2−22−22−22−220000000000000000
χ4022-2-22222-2-2222-2-2-2-220000-2-2220000002200-2-20000000000000−22−2200−2−222−2−222-22-222−22−22−22−20000000000000000
χ4122-2-22222-2-22-2-222-2-220000-2-222000000-2-2002200000000000002−2−220022−2−2−2−2222-2-222−22−2−22−220000000000000000
χ4222-2-22222-2-22-2-222-2-220000-2-222000000-2-2002200000000000002−2−220022−2−2−2−222-222-2−22−222−22−20000000000000000
χ4322-2-22222-2-22-2-222-2-220000-2-222000000-2-200220000000000000−222−200−2−22222−2−22-2-22−22−222−22−20000000000000000
χ4422-2-22222-2-22-2-222-2-220000-2-222000000-2-200220000000000000−222−200−2−22222−2−2-222-22−22−2−22−220000000000000000
χ4522-2-222-2-22222-22-2-2-222-2-2222-2-2222-2-222-22-22-22-2-22-22-2-2222-2-200002-2000000000000000000000000000000000000
χ4622-2-222-2-22222-22-2-2-222-2-2222-2-222-222-22-22-22-22-2-2-22-222-2-2-22200002-2000000000000000000000000000000000000
χ4722-2-222-2-22222-22-2-2-22-222-222-2-2-2-200002-2-222-2-22200000000000000-22000000000000000000000000002-200002-200
χ4822-2-222-2-22222-22-2-2-22-222-222-2-2-2-200002-2-222-2-22200000000000000-2200000000000000000000000000-220000-2200
χ4922-2-222-2-2222-22-22-2-222-2-2222-2-2222-2-22-22-22-222-2-2-222-2-22-2-2220000-22000000000000000000000000000000000000
χ5022-2-222-2-2222-22-22-2-222-2-2222-2-222-222-2-22-22-222-2-22-2-222-222-2-20000-22000000000000000000000000000000000000
χ5122-2-222-2-2222-22-22-2-22-222-222-2-2-2-20000-222-2-22-222000000000000002-2000000000000000000000000002-20000-2200
χ5222-2-222-2-2222-22-22-2-22-222-222-2-2-2-20000-222-2-22-222000000000000002-200000000000000000000000000-2200002-200
χ5322-2-22-1-2-222-12-22-211-12-2-22-1-111-1-12-2-22-112-2-11-1112-2-111-1-1-1110000-113−33−33−33−3000000000000003−33−30000000000
χ5422-2-22-1-2-222-12-22-211-12-2-22-1-111-1-12-2-22-112-2-11-1112-2-111-1-1-1110000-11−33−33−33−3300000000000000−33−330000000000
χ5522-2-22-1-2-222-12-22-211-12-2-22-1-111-1-1-222-2-112-2-11-111-221-1-1111-1-10000-113−33−33−33−300000000000000−33−330000000000
χ5622-2-22-1-2-222-12-22-211-12-2-22-1-111-1-1-222-2-112-2-11-111-221-1-1111-1-10000-11−33−33−33−33000000000000003−33−30000000000
χ5722-2-22-1-2-222-1-22-2211-12-2-22-1-111-1-12-2-221-1-221-1-111-22-111-111-1-100001-13−33−3−33−33000000000000003−3−330000000000
χ5822-2-22-1-2-222-1-22-2211-12-2-22-1-111-1-12-2-221-1-221-1-111-22-111-111-1-100001-1−33−333−33−300000000000000−333−30000000000
χ5922-2-22-1-2-222-1-22-2211-12-2-22-1-111-1-1-222-21-1-221-1-1112-21-1-11-1-11100001-13−33−3−33−3300000000000000−333−30000000000
χ6022-2-22-1-2-222-1-22-2211-12-2-22-1-111-1-1-222-21-1-221-1-1112-21-1-11-1-11100001-1−33−333−33−3000000000000003−3−330000000000
χ61444444-4-4-4-444-4-444440000-4-4-4-40000004-400-440000000000000000000000000000000000000000000000000000000
χ62444444-4-4-4-44-444-44440000-4-4-4-4000000-44004-40000000000000000000000000000000000000000000000000000000
χ6344444-24444-24444-2-2-2-4-4-4-4-2-2-2-2220000-2-2-4-4-2-22220000000000000022000000000000000000000000000000000000
χ6444444-24444-2-4-4-4-4-2-2-2-4-4-4-4-2-2-2-222000022442222200000000000000-2-2000000000000000000000000000000000000
χ6544444-2-4-4-4-4-24-4-44-2-2-200002222000000-22002-200000000000000000006−6−666−6−660000000000000000000000000000
χ6644444-2-4-4-4-4-24-4-44-2-2-200002222000000-22002-20000000000000000000−666−6−666−60000000000000000000000000000
χ6744444-2-4-4-4-4-2-444-4-2-2-2000022220000002-200-2200000000000000000006−6−66−666−60000000000000000000000000000
χ6844444-2-4-4-4-4-2-444-4-2-2-2000022220000002-200-220000000000000000000−666−66−6−660000000000000000000000000000
χ69444-4-444-4-44400004-4-4-4-444-444-4-4-400000000004-440000000000000000000000000000000000000000000000000000
χ70444-4-44-444-4400004-4-400004-4-440000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ71444-4-44-444-4400004-4-400004-4-4400000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ72444-4-4-24-4-44-20000-22244-4-42-2-22-2-24i4i−4i−4i0000002-2200−2i−2i2i2i0000000000000000000000000000000000000000000000
χ73444-4-4-24-4-44-20000-22244-4-42-2-22-2-2−4i−4i4i4i0000002-22002i2i−2i−2i0000000000000000000000000000000000000000000000
χ74444-4-4-24-4-44-20000-222-4-4442-2-22220000000000-22-200000023−2323−23000000000000000000000000000000000000000000
χ75444-4-4-24-4-44-20000-222-4-4442-2-22220000000000-22-2000000−2323−2323000000000000000000000000000000000000000000
χ7644-44-444-44-440000-44-400004-44-400000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ7744-44-444-44-440000-44-400004-44-4000000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ7844-44-44-44-4440000-44-4-44-44-44-44-4-4000000000044-40000000000000000000000000000000000000000000000000000
χ7944-44-4-2-44-44-200002-224-44-42-22-2-2-24i−4i4i−4i00000022-200−2i2i−2i2i0000000000000000000000000000000000000000000000
χ8044-44-4-2-44-44-200002-224-44-42-22-2-2-2−4i4i−4i4i00000022-2002i−2i2i−2i0000000000000000000000000000000000000000000000
χ8144-44-4-2-44-44-200002-22-44-442-22-2220000000000-2-2200000023−23−2323000000000000000000000000000000000000000000
χ8244-44-4-2-44-44-200002-22-44-442-22-2220000000000-2-22000000−232323−23000000000000000000000000000000000000000000
χ8344-4-44-244-4-4-244-4-422-2000022-2-2000000-2-20022000000000000022−2222−2200−2−222−2−2220000000000000000000000000000
χ8444-4-44-244-4-4-244-4-422-2000022-2-2000000-2-200220000000000000−2222−22220022−2−222−2−20000000000000000000000000000
χ8544-4-44-244-4-4-2-4-44422-2000022-2-20000002200-2-2000000000000022−22−222200−2−22222−2−20000000000000000000000000000
χ8644-4-44-244-4-4-2-4-44422-2000022-2-20000002200-2-20000000000000−222222−220022−2−2−2−2220000000000000000000000000000
χ8744-4-44-2-4-444-24-44-422-2-444-4-2-222220000-22-44-222-2-2000000000000002-2000000000000000000000000000000000000
χ8844-4-44-2-4-444-2-44-4422-2-444-4-2-2222200002-24-42-22-2-200000000000000-22000000000000000000000000000000000000
χ89888-8-8-4-888-8-40000-4440000-444-40000000000000000000000000000000000000000000000000000000000000000000
χ9088-88-8-48-88-8-400004-440000-44-440000000000000000000000000000000000000000000000000000000000000000000
χ9116-16000160000-160000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9216-16000-80000800000000000000046−4600000000000000000000000000000000000000000000000000000000000000000
χ9316-16000-800008000000000000000−464600000000000000000000000000000000000000000000000000000000000000000

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