Finite Group Databasebeta

← Group #11872207

Character table — Group #11872207

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666663446661212121244444812121212121212122424242424242424222444881212121212121212121212246668121212122424242422448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111-1111-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-1-1111-111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-111-1-11-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-1111111-1-111-1-1111111-1-1-11-111-1-1-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-1-11-1-111111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-11-1-11111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11111-1-11-1-1-111-1-1-1-1-1-111-1-111
χ10111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-111-11-1-1-1-11111-1-11111-1-111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-11-1-1-1-1111-1-111-1-111-1-1-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-1-1111-11111-1-1-1-111-1-111-1-1111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-111-1-111-1111-1-11111-1-111-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000002-2000022-2-2-2-2000000000200000000000-220000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-2200002222-2-2000000000-2000000000002-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000002-20000-2-2-2-2220000000002000000000002-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-220000-2-22222000000000-200000000000-220000
χ2122222-1222-1-1-122-122-1-1-1-12-12000022-1-12222-1-122-1-1-1-1-1-10022222200-1-100-1-1-1-1-12000-10-1-10000-1-1000000-10
χ2222222-1222-1-1-122-122-1-1-1-12-12000022-1-12222-1-122-1-1-1-1-1-100-2-2-2-2-2-2001100-1-1-1-1-1-2000101100001100000010
χ2322222-1222-1-1-122-122-1-1-1-12-120000-2-2-1-122-2-2-1-1-2-2111111002222-2-200-1-1001-1-111-2000-10-1-100001100000010
χ2422222-1222-1-1-122-122-1-1-1-12-120000-2-2-1-122-2-2-1-1-2-211111100-2-2-2-2220011001-1-111200010110000-1-1000000-10
χ2522222-1222-1-1-122-1-2-2-1-1-1-12-1200002-211-2-222-1-1-2-21111110022-2-2-2-200-1-100-111-1-12000-1011000011000000-10
χ2622222-1222-1-1-122-1-2-2-1-1-1-12-1200002-211-2-222-1-1-2-211111100-2-22222001100-111-1-1-200010-1-10000-1-100000010
χ2722222-1222-1-1-122-1-2-2-1-1-1-12-120000-2211-2-2-2-2-1-122-1-1-1-1-1-10022-2-22200-1-10011111-2000-10110000-1-100000010
χ2822222-1222-1-1-122-1-2-2-1-1-1-12-120000-2211-2-2-2-2-1-122-1-1-1-1-1-100-2-222-2-200110011111200010-1-1000011000000-10
χ292222-1222-1222-1-1-122-1-1-12-12-122222222-1-1-1-1-1-1-1-122-1-1-1-122000000-1-100-1-12-1-1-1-102-1-10200-1-1-1-10000000000
χ302222-1222-1222-1-1-122-1-1-12-12-12222-2-222-1-111-1-111-2-2111122000000-1-100-1-1-2-1-1110-2-1-10-20011110000000000
χ312222-1222-1222-1-1-122-1-1-12-12-1-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-2-20000001100112-1-1-1-10-2110-20011110000000000
χ322222-1222-1222-1-1-122-1-1-12-12-1-2-2-2-2-2-222-1-111-1-111-2-21111-2-2000000110011-2-1-11102110200-1-1-1-10000000000
χ332222-1222-1222-1-1-1-2-2-1-1-12-12-122222-2-2-211-1-1-1-111-2-21111-2-2000000-1-100-1-1211-1-102110-200-1-1110000000000
χ342222-1222-1222-1-1-1-2-2-1-1-12-12-12222-22-2-21111-1-1-1-122-1-1-1-1-2-2000000-1-100-1-1-211110-211020011-1-10000000000
χ352222-1222-1222-1-1-1-2-2-1-1-12-12-1-2-2-2-22-2-2-211-1-1-1-111-2-2111122000000110011211-1-10-2-1-1020011-1-10000000000
χ362222-1222-1222-1-1-1-2-2-1-1-12-12-1-2-2-2-2-22-2-21111-1-1-1-122-1-1-1-122000000110011-2111102-1-10-200-1-1110000000000
χ3722-2-2222-2-22-2-22-2200-22-2-2-2222i−2i2i−2i000000002-20000000000002i−2i002i−2i002i−2i000000000002i−2i0000002-2000000
χ3822-2-2222-2-22-2-22-2200-22-2-2-2222i−2i2i−2i000000002-2000000000000−2i2i002i−2i002i−2i00000000000−2i2i000000-22000000
χ3922-2-2222-2-22-2-22-2200-22-2-2-222−2i2i−2i2i000000002-20000000000002i−2i00−2i2i00−2i2i000000000002i−2i000000-22000000
χ4022-2-2222-2-22-2-22-2200-22-2-2-222−2i2i−2i2i000000002-2000000000000−2i2i00−2i2i00−2i2i00000000000−2i2i0000002-2000000
χ4122-2-222-22-22-2-22-222i−2i-22-222-2-22i−2i−2i2i002i−2i2i−2i00-22000000002-20000002i−2i00−2i2i02i−2i00002-2000000000000000000
χ4222-2-222-22-22-2-22-222i−2i-22-222-2-2−2i2i2i−2i002i−2i2i−2i00-2200000000-22000000−2i2i002i−2i02i−2i0000-22000000000000000000
χ4322-2-222-22-22-2-22-22−2i2i-22-222-2-22i−2i−2i2i00−2i2i−2i2i00-2200000000-220000002i−2i00−2i2i0−2i2i0000-22000000000000000000
χ4422-2-222-22-22-2-22-22−2i2i-22-222-2-2−2i2i2i−2i00−2i2i−2i2i00-22000000002-2000000−2i2i002i−2i0−2i2i00002-2000000000000000000
χ4522-2-2-12-2212-2-2-11-12i−2i1-112-1-212i−2i−2i2i002i−2i−ii3−31-1−i3i300−i3−i3i3i32-2000000−ii00i−i0−ii3−300-110000−i3i33−30000000000
χ4622-2-2-12-2212-2-2-11-12i−2i1-112-1-212i−2i−2i2i002i−2i−ii−331-1i3−i300i3i3−i3−i32-2000000−ii00i−i0−ii−3300-110000i3−i3−330000000000
χ4722-2-2-12-2212-2-2-11-12i−2i1-112-1-21−2i2i2i−2i002i−2i−ii3−31-1−i3i300−i3−i3i3i3-22000000i−i00−ii0−ii3−3001-10000i3−i3−330000000000
χ4822-2-2-12-2212-2-2-11-12i−2i1-112-1-21−2i2i2i−2i002i−2i−ii−331-1i3−i300i3i3−i3−i3-22000000i−i00−ii0−ii−33001-10000−i3i33−30000000000
χ4922-2-2-12-2212-2-2-11-1−2i2i1-112-1-212i−2i−2i2i00−2i2ii−i3−31-1i3−i300i3i3−i3−i3-22000000−ii00i−i0i−i3−3001-10000−i3i3−330000000000
χ5022-2-2-12-2212-2-2-11-1−2i2i1-112-1-212i−2i−2i2i00−2i2ii−i−331-1−i3i300−i3−i3i3i3-22000000−ii00i−i0i−i−33001-10000i3−i33−30000000000
χ5122-2-2-12-2212-2-2-11-1−2i2i1-112-1-21−2i2i2i−2i00−2i2ii−i3−31-1i3−i300i3i3−i3−i32-2000000i−i00−ii0i−i3−300-110000i3−i33−30000000000
χ5222-2-2-12-2212-2-2-11-1−2i2i1-112-1-21−2i2i2i−2i00−2i2ii−i−331-1−i3i300−i3−i3i3i32-2000000i−i00−ii0i−i−3300-110000−i3i3−330000000000
χ5344444-2-4-44-2-2-244-200-2-2-22-42-40000000000002200000000004-40000002200000000000-200000000000000000
χ5444444-2-4-44-2-2-244-200-2-2-22-42-4000000000000220000000000-44000000-2-200000000000200000000000000000
χ554444-24-4-4-2444-2-2-200-2-2-2-42-4244-4-400000000220000000000000000-2-20022000000000000000000000000000
χ564444-24-4-4-2444-2-2-200-2-2-2-42-42-4-444000000002200000000000000002200-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-222112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222-2-2112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44-24-4-4-2224-4-2002-222-4-24000000000000-220000000000004i−4i0000000000000000000−2i2i00000000000000
χ6244-4-44-24-4-4-2224-4-2002-222-4-24000000000000-22000000000000−4i4i00000000000000000002i−2i00000000000000
χ6344-4-44-2-44-4-2224-4-24i−4i2-22-242-4000000−2i2i4i−4i002-200000000000000000000000−2i2i000000000000000000000000
χ6444-4-44-2-44-4-2224-4-2−4i4i2-22-242-40000002i−2i−4i4i002-2000000000000000000000002i−2i000000000000000000000000
χ6544-4-4-244-424-4-4-22-2002-22-424-24i−4i4i−4i00000000-220000000000000000−2i2i00−2i2i000000000000000000000000000
χ6644-4-4-244-424-4-4-22-2002-22-424-2−4i4i−4i4i00000000-2200000000000000002i−2i002i−2i000000000000000000000000000
χ6744-4-4-2-2-442-222-2214i−4i-11-1-2-222000000−2i2i−2i2i23−23-11−2i32i300i3i3−i3−i3000000000000000i−i−330000000000000000000000
χ6844-4-4-2-2-442-222-2214i−4i-11-1-2-222000000−2i2i−2i2i−2323-112i3−2i300−i3−i3i3i3000000000000000i−i3−30000000000000000000000
χ6944-4-4-2-2-442-222-221−4i4i-11-1-2-2220000002i−2i2i−2i23−23-112i3−2i300−i3−i3i3i3000000000000000−ii−330000000000000000000000
χ7044-4-4-2-2-442-222-221−4i4i-11-1-2-2220000002i−2i2i−2i−2323-11−2i32i300i3i3−i3−i3000000000000000−ii3−30000000000000000000000
χ714-44-444004-4-44-4-44004-4-400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000000
χ724-44-444004-4-44-4-44004-4-4000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000000
χ734-44-44-200422-2-4-4-200-22200000000000000000000i6−i6i6−i6i6−i6000000−2i22i20023−230000000000000000000i2−i200000000
χ744-44-44-200422-2-4-4-200-22200000000000000000000i6−i6i6−i6i6−i60000002i2−2i200−23230000000000000000000−i2i200000000
χ754-44-44-200422-2-4-4-200-22200000000000000000000−i6i6−i6i6−i6i6000000−2i22i200−23230000000000000000000i2−i200000000
χ764-44-44-200422-2-4-4-200-22200000000000000000000−i6i6−i6i6−i6i60000002i2−2i20023−230000000000000000000−i2i200000000
χ774-4-444400-4-44-4-44400-4-4400000000000000000000000000000000000000000000000000000000000000022−2200
χ784-4-444400-4-44-4-44400-4-44000000000000000000000000000000000000000000000000000000000000000−222200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-48-84-444-44200-22-244-4-40000000000002-20000000000000000000000000000000000000000000000000
χ818-88-8-4800-4-8-8844-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-444-4442002-2-2000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ838-88-8-4-400-444-4442002-2-200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ848-8-888-400-84-44-88-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-88-84-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-444-4200-2-22000000000000000000000032−32−323200000000000000000000000000000000000000000
χ878-8-88-4-40044-444-4200-2-220000000000000000000000−323232−3200000000000000000000000000000000000000000

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