Finite Group Databasebeta

← Group #11772819

Character table — Group #11772819

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size112444444444444444448888888888888888888888888887272144144144144144
order12233466666612121212121212124881212121212121212242424242424242424242424242424242444488
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1i−ii−i
χ411111111111111111111111111111111111111111111111-1-1-1−ii−ii
χ5111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1
χ6111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111
χ7111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii
χ8111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i
χ922222222222222222222-200-2-2-2-2-2-2-2-200000000000000002-200000
χ1022222222222222222222-200-2-2-2-2-2-2-2-20000000000000000-2200000
χ114441-24111-2-2-21111-2-2-2-24441111-2-2-2-211111111-2-2-2-2-2-2-2-20000000
χ124441-24111-2-2-21111-2-2-2-24-4-41111-2-2-2-2-1-1-1-1-1-1-1-1222222220000000
χ134441-24111-2-2-21111-2-2-2-2-400-1-1-1-122223333-3-3-3-3000000000000000
χ144441-24111-2-2-21111-2-2-2-2-400-1-1-1-12222-3-3-3-33333000000000000000
χ154441-2-4111-2-2-2-1-1-1-1222200033-3-3000033−3−333−3−300002323−23−230000000
χ164441-2-4111-2-2-2-1-1-1-1222200033-3-30000−3−333−3−3330000−23−2323230000000
χ174441-2-4111-2-2-2-1-1-1-12222000-3-333000033−3−3−3−3332323−23−2300000000000
χ184441-2-4111-2-2-2-1-1-1-12222000-3-3330000−3−33333−3−3−23−23232300000000000
χ1944444-4444444-4-4-4-4-4-4-4-40000000000000000000000000000000000
χ20444-214-2-2-2111-2-2-2-21111444-2-2-2-21111-2-2-2-2-2-2-2-2111111110000000
χ21444-214-2-2-2111-2-2-2-211114-4-4-2-2-2-2111122222222-1-1-1-1-1-1-1-10000000
χ22444-214-2-2-2111-2-2-2-21111-4002222-1-1-1-1000000003333-3-3-3-30000000
χ23444-214-2-2-2111-2-2-2-21111-4002222-1-1-1-100000000-3-3-3-333330000000
χ24444-21-4-2-2-21112222-1-1-1-1000000033-3-300002323−23−2333−3−3−3−3330000000
χ25444-21-4-2-2-21112222-1-1-1-1000000033-3-30000−23−232323−3−33333−3−30000000
χ26444-21-4-2-2-21112222-1-1-1-10000000-3-3332323−23−230000−3−333−3−3330000000
χ27444-21-4-2-2-21112222-1-1-1-10000000-3-333−23−232323000033−3−333−3−30000000
χ2844-41-201-1-122-233-3-3000002-23−33−30023−232+3−2−32−3−2+31-11-11−3−1+31+3−1−31−3−1+31+3−1−30000000
χ2944-41-201-1-122-233-3-3000002-2−33−3300−23232−3−2+32+3−2−31-11-11+3−1−31−3−1+31+3−1−31−3−1+30000000
χ3044-41-201-1-122-233-3-300000-223−33−30023−23−2−32+3−2+32−3-11-11−1+31−3−1−31+3−1+31−3−1−31+30000000
χ3144-41-201-1-122-233-3-300000-22−33−3300−2323−2+32−3−2−32+3-11-11−1−31+3−1+31−3−1−31+3−1+31−30000000
χ3244-41-201-1-122-2-3-333000002-23−3−3323−2300-11-11−2−32+3−2+32−31+3−1−31−3−1+31−3−1+31+3−1−30000000
χ3344-41-201-1-122-2-3-333000002-2−333−3−232300-11-11−2+32−3−2−32+31−3−1+31+3−1−31+3−1−31−3−1+30000000
χ3444-41-201-1-122-2-3-33300000-223−3−3323−23001-11-12+3−2−32−3−2+3−1−31+3−1+31−3−1+31−3−1−31+30000000
χ3544-41-201-1-122-2-3-33300000-22−333−3−2323001-11-12−3−2+32+3−2−3−1+31−3−1−31+3−1−31+3−1+31−30000000
χ3644-44404-4-4-4-440000000002-2000000002-22-2-22-22-22-22-22-220000000
χ3744-44404-4-4-4-44000000000-2200000000-22-222-22-22-22-22-22-20000000
χ3844-4-210-222-1-11000033-3-302-20023−233−3−33−1+31−3−1−31+31+3−1−31−3−1+3−2+32−3−2−32+31-11-10000000
χ3944-4-210-222-1-11000033-3-302-200−2323−333−3−1−31+3−1+31−31−3−1+31+3−1−3−2−32+3−2+32−31-11-10000000
χ4044-4-210-222-1-11000033-3-30-220023−233−3−331−3−1+31+3−1−3−1−31+3−1+31−32−3−2+32+3−2−3-11-110000000
χ4144-4-210-222-1-11000033-3-30-2200−2323−333−31+3−1−31−3−1+3−1+31−3−1−31+32+3−2−32−3−2+3-11-110000000
χ4244-4-210-222-1-110000-3-33302-223−2300−33−33−1+31−3−1−31+31−3−1+31+3−1−31-11-1−2+32−3−2−32+30000000
χ4344-4-210-222-1-110000-3-33302-2−2323003−33−3−1−31+3−1+31−31+3−1−31−3−1+31-11-1−2−32+3−2+32−30000000
χ4444-4-210-222-1-110000-3-3330-2223−2300−33−331−3−1+31+3−1−3−1+31−3−1−31+3-11-112−3−2+32+3−2−30000000
χ4544-4-210-222-1-110000-3-3330-22−2323003−33−31+3−1−31−3−1+3−1−31+3−1+31−3-11-112+3−2−32−3−2+30000000
χ468-802-40-26-600423−2323−230043−430000000000000000000000000000000000
χ478-802-40-26-6004−2323−232300−43430000000000000000000000000000000000
χ488-802-40-2-6600423−23−232343−43000000000000000000000000000000000000
χ498-802-40-2-66004−232323−23−4343000000000000000000000000000000000000
χ508-80880-80000-8000000000000000000000000000000000000000000
χ518-80-4204006-6-20043−4323−23−23230000000000000000000000000000000000
χ528-80-4204006-6-200−4343−232323−230000000000000000000000000000000000
χ538-80-420400-66-243−4300−2323−23230000000000000000000000000000000000
χ548-80-420400-66-2−43430023−2323−230000000000000000000000000000000000

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