Finite Group Databasebeta

← Group #11872360

Character table — Group #11872360

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order1222334466666634466612121212481212121212122424242424242424244444446688881212121212121212444424121212121212242424242261228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-111-111-1-111-1-1111111-1-1-1-11-11-1-111-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1111-1-11-1-111-1-111111111-1-1-1-1-11-111-1-11-1-111-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-111-1-1-1111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1-111-1-1-1-1-1-11-1-111-1-1111-1-1-1-11-111
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11-1111-1-1-1-1-111111-1-11
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1111-1-1-1-11111-1-1111111111-1-1-1-11-1-1-1-1-1-1111-1
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-1-1-11111-1-111-1-1111111-1-1-11111-11111-1-1-1-11-1
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-11-1-1-111111-1-111-11-11
χ13111111111111111-1-11111111-11-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-111-1
χ14111111111111111-1-11111111-11-1-1-1-1111111111111-1-11-1-1111111111-1-1-1-1-1-11111-1-11-1-1-1-111111-1-1-1-1-11
χ15111111111111111-1-11111111-11-1-1-1-11111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-111-11
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111111-11-1
χ17222222-2-2222222200222-2-2-2-2000000-2-2000000002-200200-222000022000000-2-22200-20000-20000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-2000000002-200-2002220000-2-200000022-2-200-2000020000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-200000000-2200200-2-2-200002200000022-2-20020000-20000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-200000000-2200-2002-2-20000-2-2000000-2-222002000020000000000
χ2122222-122-1-122-12-122-1-1-12-1-1222-1-122-1-1-1-122-1-1-1-122000220-1-1002200-12-1-1-1-1000020-100-1-10-1-10000-1000
χ2222222-122-1-122-12-122-1-1-12-1-1222-1-122-1-1-1-122-1-1-1-1-2-2000-2-201100-2-200-12-1-1-1-10000-201001101100001000
χ2322222-122-1-122-12-122-1-1-12-1-12-2-2-1-122-1-111-2-2111122000220-1-100-2-2001-2-1-1110000-20-100-1-101100001000
χ2422222-122-1-122-12-122-1-1-12-1-12-2-2-1-122-1-111-2-21111-2-2000-2-20110022001-2-1-111000020100110-1-10000-1000
χ2522222-122-1-122-12-1-2-2-1-1-12-1-122-211-2-2-1-111-2-2111122000-2-20-1-100-2-200-1211-1-1000020-100110110000-1000
χ2622222-122-1-122-12-1-2-2-1-1-12-1-122-211-2-2-1-111-2-21111-2-200022011002200-1211-1-10000-20100-1-10-1-100001000
χ2722222-122-1-122-12-1-2-2-1-1-12-1-12-2211-2-2-1-1-1-122-1-1-1-122000-2-20-1-10022001-211110000-20-100110-1-100001000
χ2822222-122-1-122-12-1-2-2-1-1-12-1-12-2211-2-2-1-1-1-122-1-1-1-1-2-20002201100-2-2001-21111000020100-1-10110000-1000
χ292222-122222-1-12-1-122-1-1-1-122-12222-1-1-1-122-1-1-1-1-1-100222002002200-1-12-1-1-1-1-10000020-1-100-100-1-1000-100
χ302222-122222-1-12-1-122-1-1-1-122-12222-1-1-1-122-1-1-1-1-1-100-2-2-200-200-2-200112-1-1-1-1-100000-20110010011000100
χ312222-122222-1-12-1-122-1-1-1-122-1-2-222-1-1-1-1-2-21111110022200200-2-200-1-1-21-1-11100000-20-1-100-10011000100
χ322222-122222-1-12-1-122-1-1-1-122-1-2-222-1-1-1-1-2-211111100-2-2-200-200220011-21-1-11100000201100100-1-1000-100
χ332222-122222-1-12-1-1-2-2-1-1-1-122-12-2-2-211-1-1-2-21111110022-200-2002200112-111-1-100000-20-1-100100-1-1000100
χ342222-122222-1-12-1-1-2-2-1-1-1-122-12-2-2-211-1-1-2-211111100-2-2200200-2-200-1-12-111-1-100000201100-10011000-100
χ352222-122222-1-12-1-1-2-2-1-1-1-122-1-22-2-211-1-122-1-1-1-1-1-10022-200-200-2-20011-2111110000020-1-10010011000-100
χ362222-122222-1-12-1-1-2-2-1-1-1-122-1-22-2-211-1-122-1-1-1-1-1-100-2-22002002200-1-1-21111100000-201100-100-1-1000100
χ3722-2-2222-2-22-22-2-222i−2i2-2-2-22-22002i−2i2i−2i-22000000000000000000000000002i−2i002i−2i2i−2i0000000000002-20000
χ3822-2-2222-2-22-22-2-222i−2i2-2-2-22-22002i−2i2i−2i-22000000000000000000000000002i−2i00−2i2i−2i2i000000000000-220000
χ3922-2-2222-2-22-22-2-22−2i2i2-2-2-22-2200−2i2i−2i2i-2200000000000000000000000000−2i2i002i−2i2i−2i000000000000-220000
χ4022-2-2222-2-22-22-2-22−2i2i2-2-2-22-2200−2i2i−2i2i-2200000000000000000000000000−2i2i00−2i2i−2i2i0000000000002-20000
χ4122-2-222-22-22-22-2-22002-2-22-22-20000002-200000000002-202i−2i0000000000000002i−2i−2i2i0002-22i−2i00000000000
χ4222-2-222-22-22-22-2-22002-2-22-22-20000002-200000000002-20−2i2i000000000000000−2i2i2i−2i0002-2−2i2i00000000000
χ4322-2-222-22-22-22-2-22002-2-22-22-20000002-20000000000-2202i−2i000000000000000−2i2i2i−2i000-222i−2i00000000000
χ4422-2-222-22-22-22-2-22002-2-22-22-20000002-20000000000-220−2i2i0000000000000002i−2i−2i2i000-22−2i2i00000000000
χ4544444-2-4-4-2-244-24-200-2-2-2-422-400000022000000004-4000000-2-20000000000000000002000000000000000
χ4644444-2-4-4-2-244-24-200-2-2-2-422-40000002200000000-4400000022000000000000000000-2000000000000000
χ474444-24-4-444-2-24-2-200-2-2-22-4-4200000022000000000000400-4000000-2-20000000000000000020000000000
χ484444-24-4-444-2-24-2-200-2-2-22-4-4200000022000000000000-40040000002200000000000000000-20000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-211-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-2112222-1-1-1-100000000000000002211-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222112222-1-1-1-10000000000000000-2-2-1-1110000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-44222211-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-44-24-42-2-442-4-24i−4i-222-4-22400−2i2i4i−4i2-200000000000000000000000000−2i2i000000000000000000000000
χ5444-4-44-24-42-2-442-4-2−4i4i-222-4-224002i−2i−4i4i2-2000000000000000000000000002i−2i000000000000000000000000
χ5544-4-44-2-442-2-442-4-200-22242-2-4000000-2200000000000004i−4i000000000000000000000000−2i2i00000000000
χ5644-4-44-2-442-2-442-4-200-22242-2-4000000-220000000000000−4i4i0000000000000000000000002i−2i00000000000
χ5744-4-4-244-4-442-2-42-24i−4i-22224-4-2004i−4i−2i2i2-200000000000000000000000000−2i2i000000000000000000000000
χ5844-4-4-244-4-442-2-42-2−4i4i-22224-4-200−4i4i2i−2i2-2000000000000000000000000002i−2i000000000000000000000000
χ5944-4-4-24-44-442-2-42-200-222-2-442000000-2200000000004-40000000000000000000000000-220000000000000
χ6044-4-4-24-44-442-2-42-200-222-2-442000000-220000000000-4400000000000000000000000002-20000000000000
χ6144-4-4-2-24-42-22-22214i−4i1-1-12-22-200−2i2i−2i2i-11000033-3-3000000000000000000i−i3i−3i0000000000000000000000
χ6244-4-4-2-24-42-22-22214i−4i1-1-12-22-200−2i2i−2i2i-110000-3-333000000000000000000i−i−3i3i0000000000000000000000
χ6344-4-4-2-24-42-22-2221−4i4i1-1-12-22-2002i−2i2i−2i-11000033-3-3000000000000000000−ii−3i3i0000000000000000000000
χ6444-4-4-2-24-42-22-2221−4i4i1-1-12-22-2002i−2i2i−2i-110000-3-333000000000000000000−ii3i−3i0000000000000000000000
χ654-44-444004-44-4-4-4400-44-400000000000000000000000000000000−2i22i200000000000000000000−2i22i200000000
χ664-44-444004-44-4-4-4400-44-4000000000000000000000000000000002i2−2i2000000000000000000002i2−2i200000000
χ674-44-44-200-224-42-4-2002-220000000000006−6006−66−600000000−2i32i300−2i22i200000000000000000000i2−i200000000
χ684-44-44-200-224-42-4-2002-220000000000006−6006−66−6000000002i3−2i3002i2−2i200000000000000000000−i2i200000000
χ694-44-44-200-224-42-4-2002-22000000000000−6600−66−6600000000−2i32i3002i2−2i200000000000000000000−i2i200000000
χ704-44-44-200-224-42-4-2002-22000000000000−6600−66−66000000002i3−2i300−2i22i200000000000000000000i2−i200000000
χ714-4-444400-4-4-4-444400-4-4400000000000000000000000000000022−2200000000000000000000000022−22000000
χ724-4-444400-4-4-4-444400-4-44000000000000000000000000000000−2222000000000000000000000000−2222000000
χ734-4-44-2400-4-4224-2-20022-2000000000000006−66−6−66000000000022−220023−2300000000000000000000−22000000
χ744-4-44-2400-4-4224-2-20022-2000000000000006−66−6−660000000000−222200−2323000000000000000000002−2000000
χ754-4-44-2400-4-4224-2-20022-200000000000000−66−666−6000000000022−2200−232300000000000000000000−22000000
χ764-4-44-2400-4-4224-2-20022-200000000000000−66−666−60000000000−22220023−23000000000000000000002−2000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-884-44-4442002-2-2-44-440000002-20000000000000000000000000000000000000000000000000000
χ798-88-8-48008-8-44-84-4004-440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-400-44-4444200-22-200000000000026−2600−66−6600000000000000000000000000000000000000000000
χ818-88-8-4-400-44-4444200-22-2000000000000−2626006−66−600000000000000000000000000000000000000000000
χ828-8-888-40044-8-8-48-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4200-2-220000000000000026−26−666−600000000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4200-2-2200000000000000−26266−6−6600000000000000000000000000000000000000000000

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