Finite Group Databasebeta

← Group #11870687

Character table — Group #11870687

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order12223344666666444434466688121212122424242444441212121241212121212121212242424242424244448888121212122424242412121212124424612121212121224242248864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111111111111111111-111-1-111-1-1-1-111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-111-1-111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-11111-1-111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-111-1-1-1-11-1-1-1-111-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-1-111-1-11-1-1-1-1-1-111-1-1111-1-1
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-1-1-111-1-1-1-11-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11-1-111-1-1-11-111-1-1111111-111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-111111-1-11-1111-1-1-1-111-1-1-1-1-11-1
χ1011111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111111-11
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11111-1-111-1-11111-111-1-1-1-1-11111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-11111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-11111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-1-111111-1-111-1-11-11-1-111-1-1-1-111-1111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-111111-1-11111-1-1-11111-1-111-1-11-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-2000000-20000000022-2-20000000002200-20000000000-20000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-2000000200000000-2-2-2-2000000000-2-2002000000000020000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-2000000-2000000002222000000000-2-200-2000000000020000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000200000000-2-222000000000220020000000000-20000
χ2122222-1222-1-1-1220000-122-1-1-122-12-122222002200002-1-12222-1-1-1-1-1-1-1-1200220022-1-1000000-1-1-1-1-10020-1-1-10000-1-100000-10
χ2222222-1222-1-1-1220000-122-1-1-122-12-12222200-2-200002-1-12222-1-1-1-1-1-1-1-1-200-2-200-2-211000000-1-1-1-1-100-201110000110000010
χ2322222-1222-1-1-1220000-122-1-1-1-2-2-12-12-2-2-2-200220000-2-1-122-2-2-1-11111112002200-2-2-1-10000001-1-11100-20-1-1-10000110000010
χ2422222-1222-1-1-1220000-122-1-1-1-2-2-12-12-2-2-2-200-2-20000-2-1-122-2-2-1-1111111-200-2-20022110000001-1-11100201110000-1-100000-10
χ2522222-1222-1-1-1220000-1-2-2-1-1-122-12-12222200220000-211-2-2-2-2-1-1-1-1-1-1-1-1200-2-20022-1-10000001111100-20-1110000-1-10000010
χ2622222-1222-1-1-1220000-1-2-2-1-1-122-12-12222200-2-20000-211-2-2-2-2-1-1-1-1-1-1-1-1-2002200-2-2110000001111100201-1-100001100000-10
χ2722222-1222-1-1-1220000-1-2-2-1-1-1-2-2-12-12-2-2-2-200220000211-2-222-1-1111111200-2-200-2-2-1-1000000-111-1-10020-11100001100000-10
χ2822222-1222-1-1-1220000-1-2-2-1-1-1-2-2-12-12-2-2-2-200-2-20000211-2-222-1-1111111-20022002211000000-111-1-100-201-1-10000-1-10000010
χ292222-1222-1222-1-12222-122-1-1-1222-12-1-1-1-1-12200-1-1-1-1222-1-1-1-1-1-122-1-1-1-102200220000-1-1-1-1-1-12-1-1-1-10002000-1-1-1-1000000000
χ302222-1222-1222-1-12222-122-1-1-1-2-22-12-111112200-1-1-1-1-222-1-111-1-1-2-2111102200-2-20000-1-11111-2-1-111000-2000-1-111000000000
χ312222-1222-1222-1-12222-1-2-2-1-1-1222-12-1-1-1-1-12200-1-1-1-1-2-2-21111-1-122-1-1-1-10-2-200220000-1-1-1-1-1-1-21111000-20001111000000000
χ322222-1222-1222-1-12222-1-2-2-1-1-1-2-22-12-111112200-1-1-1-12-2-211-1-1-1-1-2-211110-2-200-2-20000-1-11111211-1-1000200011-1-1000000000
χ332222-1222-1222-1-1-2-2-2-2-122-1-1-1222-12-1-1-1-1-1-2-2001111222-1-1-1-1-1-122-1-1-1-10-2-200-2-200001111112-1-1-1-1000-20001111000000000
χ342222-1222-1222-1-1-2-2-2-2-122-1-1-1-2-22-12-11111-2-2001111-222-1-111-1-1-2-211110-2-20022000011-1-1-1-1-2-1-111000200011-1-1000000000
χ352222-1222-1222-1-1-2-2-2-2-1-2-2-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-21111-1-122-1-1-1-102200-2-20000111111-211110002000-1-1-1-1000000000
χ362222-1222-1222-1-1-2-2-2-2-1-2-2-1-1-1-2-22-12-11111-2-20011112-2-211-1-1-1-1-2-211110220022000011-1-1-1-1211-1-1000-2000-1-111000000000
χ3722-2-2222-2-22-2-2-222i2i−2i−2i200-22-200-2-22200002i−2i002i2i−2i−2i00000002-20000000002i−2i0000002i−2i000000000000002i−2i0000002-200000
χ3822-2-2222-2-22-2-2-222i2i−2i−2i200-22-200-2-22200002i−2i002i2i−2i−2i00000002-2000000000−2i2i0000002i−2i00000000000000−2i2i000000-2200000
χ3922-2-2222-2-22-2-2-22−2i−2i2i2i200-22-200-2-2220000−2i2i00−2i−2i2i2i00000002-20000000002i−2i000000−2i2i000000000000002i−2i000000-2200000
χ4022-2-2222-2-22-2-2-22−2i−2i2i2i200-22-200-2-2220000−2i2i00−2i−2i2i2i00000002-2000000000−2i2i000000−2i2i00000000000000−2i2i0000002-200000
χ4122-2-222-22-22-2-2-222i2i−2i−2i22i−2i-22-20022-2-20000−2i2i002i2i−2i−2i02i−2i2i−2i00-2200000002-200000000−2i2i000002i−2i0000000002-200000000000
χ4222-2-222-22-22-2-2-222i2i−2i−2i2−2i2i-22-20022-2-20000−2i2i002i2i−2i−2i0−2i2i−2i2i00-220000000-2200000000−2i2i00000−2i2i000000000-2200000000000
χ4322-2-222-22-22-2-2-22−2i−2i2i2i22i−2i-22-20022-2-200002i−2i00−2i−2i2i2i02i−2i2i−2i00-220000000-22000000002i−2i000002i−2i000000000-2200000000000
χ4422-2-222-22-22-2-2-22−2i−2i2i2i2−2i2i-22-20022-2-200002i−2i00−2i−2i2i2i0−2i2i−2i2i00-2200000002-2000000002i−2i00000−2i2i0000000002-200000000000
χ4522-2-2-12-2212-2-21-12i2i−2i−2i-12i−2i1-11002-1-21−i3−i3i3i3−2i2i00−i−iii02i−2i−ii3−31-100−i3−i3i3i302-200000000i−i33−3−30−ii3−30000000-11−i3i3000000000
χ4622-2-2-12-2212-2-21-12i2i−2i−2i-12i−2i1-11002-1-21i3i3−i3−i3−2i2i00−i−iii02i−2i−ii−331-100i3i3−i3−i302-200000000i−i−3−3330−ii−330000000-11i3−i3000000000
χ4722-2-2-12-2212-2-21-12i2i−2i−2i-1−2i2i1-11002-1-21−i3−i3i3i3−2i2i00−i−iii0−2i2ii−i−331-100−i3−i3i3i30-2200000000i−i33−3−30i−i−3300000001-1i3−i3000000000
χ4822-2-2-12-2212-2-21-12i2i−2i−2i-1−2i2i1-11002-1-21i3i3−i3−i3−2i2i00−i−iii0−2i2ii−i3−31-100i3i3−i3−i30-2200000000i−i−3−3330i−i3−300000001-1−i3i3000000000
χ4922-2-2-12-2212-2-21-1−2i−2i2i2i-12i−2i1-11002-1-21−i3−i3i3i32i−2i00ii−i−i02i−2i−ii3−31-100−i3−i3i3i30-2200000000−ii−3−3330−ii3−300000001-1i3−i3000000000
χ5022-2-2-12-2212-2-21-1−2i−2i2i2i-12i−2i1-11002-1-21i3i3−i3−i32i−2i00ii−i−i02i−2i−ii−331-100i3i3−i3−i30-2200000000−ii33−3−30−ii−3300000001-1−i3i3000000000
χ5122-2-2-12-2212-2-21-1−2i−2i2i2i-1−2i2i1-11002-1-21−i3−i3i3i32i−2i00ii−i−i0−2i2ii−i−331-100−i3−i3i3i302-200000000−ii−3−3330i−i−330000000-11−i3i3000000000
χ5222-2-2-12-2212-2-21-1−2i−2i2i2i-1−2i2i1-11002-1-21i3i3−i3−i32i−2i00ii−i−i0−2i2ii−i3−31-100i3i3−i3−i302-200000000−ii33−3−30i−i3−30000000-11i3−i3000000000
χ532-2-2222002-2-22-2-22-22-22002-2-22−200002−22−2002i−2i2-22-20000000002−22−22−2000002−2−i2i22i−2i002−22−2000002i−2i000000000−i2i2000−i2i200
χ542-2-2222002-2-22-2-22-22-22002-2-22−200002−22−200−2i2i2-22-20000000002−22−22−2000002−2i2−i2−2i2i002−22−200000−2i2i000000000i2−i2000i2−i200
χ552-2-2222002-2-22-2-22-22-22002-2-2−220000−22−22002i−2i2-22-2000000000−22−22−2200000−22i2−i22i−2i00−22−22000002i−2i000000000i2−i2000i2−i200
χ562-2-2222002-2-22-2-22-22-22002-2-2−220000−22−2200−2i2i2-22-2000000000−22−22−2200000−22−i2i2−2i2i00−22−2200000−2i2i000000000−i2i2000−i2i200
χ572-2-2222002-2-22-2-2-22-222002-2-22−200002−22−2002i−2i-22-220000000002−22−22−200000−22−i2i22i−2i00−22−2200000−2i2i000000000−i2i2000i2−i200
χ582-2-2222002-2-22-2-2-22-222002-2-22−200002−22−200−2i2i-22-220000000002−22−22−200000−22i2−i2−2i2i00−22−22000002i−2i000000000i2−i2000−i2i200
χ592-2-2222002-2-22-2-2-22-222002-2-2−220000−22−22002i−2i-22-22000000000−22−22−22000002−2i2−i22i−2i002−22−200000−2i2i000000000i2−i2000−i2i200
χ602-2-2222002-2-22-2-2-22-222002-2-2−220000−22−2200−2i2i-22-22000000000−22−22−22000002−2−i2i2−2i2i002−22−2000002i−2i000000000−i2i2000i2−i200
χ6144444-2-4-44-2-2-2440000-200-2-2-2002-42-4000000440000000000022000000-400000000-2-20000000000000002000000000000000
χ6244444-2-4-44-2-2-2440000-200-2-2-2002-42-4000000-4-4000000000002200000040000000022000000000000000-2000000000000000
χ634444-24-4-4-2444-2-24444-200-2-2-200-42-420000-4-400-2-2-2-2000000022000000000000000002200000000000000000000000000000
χ644444-24-4-4-2444-2-2-4-4-4-4-200-2-2-200-42-4200004400222200000002200000000000000000-2-200000000000000000000000000000
χ654444-2-244-2-2-2-2-2-2000014411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-2111100000000000000000-2111100000000000000000000
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-100000000000000000211-1-100000000000000000000
χ674444-2-244-2-2-2-2-2-200001-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-21111000000000000000002-1-1-1-100000000000000000000
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-100000000000000000-2-1-11100000000000000000000
χ6944-4-44-24-4-4-222-440000-2002-22002-4-240000000000000000000-220000000004i−4i0000000000000000000000−2i2i0000000000000
χ7044-4-44-24-4-4-222-440000-2002-22002-4-240000000000000000000-22000000000−4i4i00000000000000000000002i−2i0000000000000
χ7144-4-44-2-44-4-222-440000-24i−4i2-2200-242-40000000000000−2i2i4i−4i002-2000000000000000000000000−2i2i0000000000000000000000
χ7244-4-44-2-44-4-222-440000-2−4i4i2-2200-242-400000000000002i−2i−4i4i002-20000000000000000000000002i−2i0000000000000000000000
χ7344-4-4-244-424-4-42-24i4i−4i−4i-2002-2200-424-200004i−4i00−2i−2i2i2i0000000-2200000000000000000−2i2i00000000000000000000000000000
χ7444-4-4-244-424-4-42-2−4i−4i4i4i-2002-2200-424-20000−4i4i002i2i−2i−2i0000000-22000000000000000002i−2i00000000000000000000000000000
χ7544-4-4-2-2-442-2222-2000014i−4i-11-100-2-222−2i3−2i32i32i3000000000−2i2i−2i2i23−23-1100i3i3−i3−i3000000000000000000i−i−3300000000000000000000
χ7644-4-4-2-2-442-2222-2000014i−4i-11-100-2-2222i32i3−2i3−2i3000000000−2i2i−2i2i−2323-1100−i3−i3i3i3000000000000000000i−i3−300000000000000000000
χ7744-4-4-2-2-442-2222-200001−4i4i-11-100-2-222−2i3−2i32i32i30000000002i−2i2i−2i−2323-1100i3i3−i3−i3000000000000000000−ii3−300000000000000000000
χ7844-4-4-2-2-442-2222-200001−4i4i-11-100-2-2222i32i3−2i3−2i30000000002i−2i2i−2i23−23-1100−i3−i3i3i3000000000000000000−ii−3300000000000000000000
χ794-44-44400-4-44-44-44i−4i−4i4i400-4-44000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ804-44-44400-4-44-44-4−4i4i4i−4i400-4-4400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ814-44-4-24002-44-4-224i−4i−4i4i-20022-2000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ824-44-4-24002-44-4-224i−4i−4i4i-20022-2000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ834-44-4-24002-44-4-22−4i4i4i−4i-20022-2000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ844-44-4-24002-44-4-22−4i4i4i−4i-20022-2000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ854-4-444-200422-2-4-40000-200-22222−22000022−2222−22004i−4i0000000000000−22−22−220000000−2i22i2−2i2i0000000000000000000000i2−i20000000
χ864-4-444-200422-2-4-40000-200-22222−22000022−2222−2200−4i4i0000000000000−22−22−2200000002i2−2i22i−2i0000000000000000000000−i2i20000000
χ874-4-444-200422-2-4-40000-200-222−22220000−2222−2222004i−4i00000000000002−22−22−200000002i2−2i2−2i2i0000000000000000000000−i2i20000000
χ884-4-444-200422-2-4-40000-200-222−22220000−2222−222200−4i4i00000000000002−22−22−20000000−2i22i22i−2i0000000000000000000000i2−i20000000
χ894-4-44-2400-2-4-44224-44-4-200-22222−220000−22−220000-22-2200000000022−22−22−220000022−22000000−22−220000000000000000000000000
χ904-4-44-2400-2-4-44224-44-4-200-222−222200002−22−20000-22-22000000000−22222−22−200000−22220000002−22−20000000000000000000000000
χ914-4-44-2400-2-4-4422-44-44-200-22222−220000−22−2200002-22-200000000022−22−22−2200000−22220000002−22−20000000000000000000000000
χ924-4-44-2400-2-4-4422-44-44-200-222−222200002−22−200002-22-2000000000−22222−22−20000022−22000000−22−220000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-48-84-4444-40000200-22-20044-4-400000000000000000002-2000000000000000000000000000000000000000000000000
χ958-88-88-400-84-448-80000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-40044-44-440000200-2-220000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ978-88-8-4-40044-44-440000200-2-22000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000
χ988-8-88-4-400-444-44400002002-2-242−420000−2222−222200000000000000000−22222−22−2000000000000000000000000000000000000000000
χ998-8-88-4-400-444-44400002002-2-2−4242000022−2222−220000000000000000022−22−22−22000000000000000000000000000000000000000000

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