Finite Group Databasebeta

← Group #11878614

Character table — Group #11878614

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444448888888888881212121212121212121212121212121216161616161616242424242424242424243636484848727272
order12223344666666366688121212122424242444121212122424242424242244666688121224242424121212121212122444812121224242461212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-111-1-1-1-1-1-1-1-1-1-11111111-111-1111111-1-1-11-1-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-1111111111111111111-1-11-1-1-1-1-1-1-1-11-11-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ51111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-11
χ61111111111111111111111111111-1-1-1-1111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-11-1111-1
χ71111111111111111111111111111-1-1-1-111111111-11-11-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-111-1
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111111-1-11
χ9111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-111111111-1-111-1-1-1-11-1-111-1-1-11-11-1111-1-111-1-111-1-1
χ10111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-11-11-111-1-111-1-111111-1-111-1-111-1-1-1111-1-1-1-11-1-1-111
χ11111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11-1-111-1-1-1-1111-1-1-111-1-1-111-111
χ12111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-11-11-11-1-1-1111111-11-1-1
χ13111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-111-1-1111-11-1-1-1-11-1-11111-1-11-1
χ14111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-11-11-111-1-111-1-11111-111-1-111-1-111-1-1-11-1-1-1-1-1111-11
χ15111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1-111-1-11111-1-1111-111-1-11-1-11-11
χ16111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-111-11-11111-11111-1-11-11-1
χ17222222-2-2222222222200-2-2-2-200000000-2-200000022-2-2222200-2-2000000000000000000-200-22000000
χ18222222-2-2222222222200-2-2-2-200000000-2-20000002-2-2222-2-20022000000000000000000-2002-2000000
χ19222222-2-2222222222200-2-2-2-200000000-2-2000000-222-2-2-22200-2-20000000000000000002002-2000000
χ20222222-2-2222222222200-2-2-2-200000000-2-2000000-2-222-2-2-2-20022000000000000000000200-22000000
χ2122222-1222-1-122-1-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-1020200-1-122-1-1-1-1-1-1-12-1-1-1-1-1200200000000-10-1000
χ2222222-1222-1-122-1-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-10-20-20011-2-2111111-12-1-1-1-1-1-200-200000000101000
χ2322222-1222-1-122-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1020200-1-122-1-1-1-1-1-11-211111-200-200000000101000
χ2422222-1222-1-122-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-10-20-20011-2-21111111-211111200200000000-10-1000
χ2522222-1222-1-122-1-1-1-1-1-2-2-122-111112-222-1-1-2-21111020200-1-1-2-2-1-11111-1-21-1-111-20020000000010-1000
χ2622222-1222-1-122-1-1-1-1-1-2-2-122-111112-222-1-1-2-211110-20-200112211-1-1-1-1-1-21-1-111200-200000000-101000
χ2722222-1222-1-122-1-1-1-1-1-2-2-122-11111-22-2-2-1-1-2-21111020200-1-1-2-2-1-1111112-111-1-1200-200000000-101000
χ2822222-1222-1-122-1-1-1-1-1-2-2-122-11111-22-2-2-1-1-2-211110-20-200112211-1-1-1-112-111-1-1-20020000000010-1000
χ292222-1222-122-1-12-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-12020-1-100000000002-12-1-1-1-102202-1-1-1-1-1000-10000
χ302222-1222-122-1-12-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-1-20-201100000000002-12-1-1-1-10-2-20-21111100010000
χ312222-1222-122-1-12-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-12020-1-10000000000-21-211110-2-20211-1-1-100010000
χ322222-1222-122-1-12-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-1-20-20110000000000-21-211110220-2-1-1111000-10000
χ332222-1222-122-1-12-1-1-1-1-2-22-1-12-2-2-2-22-2-1-1-1-11111112020-1-1000000000021-2-1-11102-20-2-1-1-11100010000
χ342222-1222-122-1-12-1-1-1-1-2-22-1-12-2-2-2-22-2-1-1-1-1111111-20-2011000000000021-2-1-1110-2202111-1-1000-10000
χ352222-1222-122-1-12-1-1-1-1-2-22-1-12-2-2-2-2-2211-1-11111112020-1-10000000000-2-1211-1-10-220-211-111000-10000
χ362222-1222-122-1-12-1-1-1-1-2-22-1-12-2-2-2-2-2211-1-1111111-20-20110000000000-2-1211-1-102-202-1-11-1-100010000
χ3744444-2-4-44-2-244-2-2-2-2-2002-4-420000000022000000040-400-2-2002200000000000000000000000000000
χ3844444-2-4-44-2-244-2-2-2-2-2002-4-4200000000220000000-404002200-2-200000000000000000000000000000
χ394444-24-4-4-244-2-24-2-2-2-200-422-4000000002200000040-40-2-200000000000000000000000020000000000
χ404444-24-4-4-244-2-24-2-2-2-200-422-40000000022000000-404022000000000000000000000000-20000000000
χ414444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-244-2-211-2-211110000000000000000-2-2-21111000000000000000000
χ424444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2-4-42211-2-211110000000000000000222-1-1-1-1000000000000000000
χ434444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222224-4-2-21122-1-1-1-10000000000000000-22211-1-1000000000000000000
χ444444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222-44221122-1-1-1-100000000000000002-2-2-1-111000000000000000000
χ4544-4-44400-44-44-4-44-44-4−2i22i20000−2i2−2i22i22i2000000−2i22i2−2i2−2i22i22i200000000000000000000000000000000000000000
χ4644-4-44400-44-44-4-44-44-42i2−2i200002i22i2−2i2−2i20000002i2−2i22i22i2−2i2−2i200000000000000000000000000000000000000000
χ4744-4-44-200-4-224-42-22-22−2i22i20000i2i2−i2−i2000000−2i22i2i2i2−i2−i2000000000023−23i6i6−i6−i60000000000000000000000000
χ4844-4-44-200-4-224-42-22-22−2i22i20000i2i2−i2−i2000000−2i22i2i2i2−i2−i20000000000−2323−i6−i6i6i60000000000000000000000000
χ4944-4-44-200-4-224-42-22-222i2−2i20000−i2−i2i2i20000002i2−2i2−i2−i2i2i2000000000023−23−i6−i6i6i60000000000000000000000000
χ5044-4-44-200-4-224-42-22-222i2−2i20000−i2−i2i2i20000002i2−2i2−i2−i2i2i20000000000−2323i6i6−i6−i60000000000000000000000000
χ5144-4-4-240024-4-22-4-22-22−2i22i20000−2i2−2i22i22i2000000i2−i2i2i2−i2−i20000−2i32i300000000000000000000000006−600000000
χ5244-4-4-240024-4-22-4-22-22−2i22i20000−2i2−2i22i22i2000000i2−i2i2i2−i2−i200002i3−2i30000000000000000000000000−6600000000
χ5344-4-4-240024-4-22-4-22-222i2−2i200002i22i2−2i2−2i2000000−i2i2−i2−i2i2i20000−2i32i30000000000000000000000000−6600000000
χ5444-4-4-240024-4-22-4-22-222i2−2i200002i22i2−2i2−2i2000000−i2i2−i2−i2i2i200002i3−2i300000000000000000000000006−600000000
χ554-44-444004-44-4-4-44-4-44000000000000000000000000000000−2i22i200−2i22i2−2i22i20000000000000000000000000
χ564-44-444004-44-4-4-44-4-440000000000000000000000000000002i2−2i2002i2−2i22i2−2i20000000000000000000000000
χ574-44-44-20042-2-4-42-222-20000006−66−6000000006−66−6000000−2i32i3−2i22i200i2−i2i2−i20000000000000000000000000
χ584-44-44-20042-2-4-42-222-20000006−66−6000000006−66−60000002i3−2i32i2−2i200−i2i2−i2i20000000000000000000000000
χ594-44-44-20042-2-4-42-222-2000000−66−6600000000−66−66000000−2i32i32i2−2i200−i2i2−i2i20000000000000000000000000
χ604-44-44-20042-2-4-42-222-2000000−66−6600000000−66−660000002i3−2i3−2i22i200i2−i2i2−i20000000000000000000000000
χ614-4-44444-4-4-4-4-44444-4-400-44-4400000000-4400000000000000000000000000000000000000000000000
χ624-4-4444-44-4-4-4-44444-4-4004-44-4000000004-400000000000000000000000000000000000000000000000
χ634-4-444-24-4-422-44-2-2-2220024-4-2−2i32i32i3−2i300002-200−2i32i32i3−2i300000000000000000000000000000000000000000
χ644-4-444-24-4-422-44-2-2-2220024-4-22i3−2i3−2i32i300002-2002i3−2i3−2i32i300000000000000000000000000000000000000000
χ654-4-444-2-44-422-44-2-2-22200-2-44200000000-2200000000000000000023−23−23230000000000000000000000000
χ664-4-444-2-44-422-44-2-2-22200-2-44200000000-22000000000000000000−232323−230000000000000000000000000
χ674-4-44-244-42-4-42-24-2-22200-4-22400000023−232-2000000000000000000000000023−2300000000000000000000
χ684-4-44-244-42-4-42-24-2-22200-4-224000000−23232-20000000000000000000000000−232300000000000000000000
χ694-4-44-24-442-4-42-24-2-2220042-2-400000000-22000000000000000000000000000000000023−2300000000000
χ704-4-44-24-442-4-42-24-2-2220042-2-400000000-220000000000000000000000000000000000−232300000000000
χ714-4-44-2-24-42222-2-211-1-1002-22-2−2i32i32i3−2i30023−23-1100i3−i3−i3i30000000000000000000−333i−3i000000000000000000
χ724-4-44-2-24-42222-2-211-1-1002-22-2−2i32i32i3−2i300−2323-1100i3−i3−i3i300000000000000000003−3−3i3i000000000000000000
χ734-4-44-2-24-42222-2-211-1-1002-22-22i3−2i3−2i32i30023−23-1100−i3i3i3−i30000000000000000000−33−3i3i000000000000000000
χ744-4-44-2-24-42222-2-211-1-1002-22-22i3−2i3−2i32i300−2323-1100−i3i3i3−i300000000000000000003−33i−3i000000000000000000
χ758888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7688-8-8-4-4004-44-4442-22-2−4i24i200002i22i2−2i2−2i20000002i2−2i2−i2−i2i2i200000000000000000000000000000000000000000
χ7788-8-8-4-4004-44-4442-22-24i2−4i20000−2i2−2i22i22i2000000−2i22i2i2i2−i2−i200000000000000000000000000000000000000000
χ788-88-8-4800-4-8844-8-444-4000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-44-44442-2-2200000026−2626−2600000000−66−6600000000000000000000000000000000000000000
χ808-88-8-4-400-44-44442-2-22000000−2626−2626000000006−66−600000000000000000000000000000000000000000
χ818-8-88-4-4-884444-4-422-2-200-44-44000000002-200000000000000000000000000000000000000000000000

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