Finite Group Databasebeta

← Group #11870684

Character table — Group #11870684

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order1222334466666644443446668812121212242424244444121212124121212121212121224242424242424444888812121212242424241212121212442466612121212242422488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111111111111-111-1-111-1-111-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-111-1-11-1-11111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-1-1-1111111-11111-1-111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-11-1-1-111-1-111-1-1-11111
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
χ61111111111111111111-1-11111111111111-1-1111111-1-1-1-1-1-1-111111111-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-11-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-111-1-11-1-111-1-1111111-111-1-1
χ911111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111111111111111-1-111-1-111-1-111-1-1-1-111111-1-1-111-1-1-1-11111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11111-1-1-1-1111111-111-1-1-1-11-1111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-111-1-1-1-111111-1-11-1
χ1311111111111111-1-1-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-111111-1-11111-1-1-1-11
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
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-11111111-1-111-1-1-111-1-111-1-1-1-111-1111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-111111-1-11111-1-1-1-1-1111111-1-11-1-1-11
χ17222222-2-2222222222220022200-2-2-2-2000022-2-222220000000-2-2000000-200000000-2-2220000000002200-20000000000-20000
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
χ20222222-2-2222222-2-2-2-220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000020000000022-2-2000000000220020000000000-20000
χ2122222-1222-1-1-1222222-122-1-1-122-12-12-1-1-1-10022-1-1-1-1222-1-1-1-1-1-122-1-1-1-1022002200-1-100-1-1-1-12-1-1-1-100200-1-1-1-100000000000
χ2222222-1222-1-1-1222222-122-1-1-1-2-2-12-1211110022-1-1-1-1-222-1-111-1-1-2-2111102200-2-200-1-1001111-2-1-11100-20011-1-100000000000
χ2322222-1222-1-1-1222222-1-2-2-1-1-122-12-12-1-1-1-10022-1-1-1-1-2-2-21111-1-122-1-1-1-10-2-2002200-1-100-1-1-1-1-2111100-200111100000000000
χ2422222-1222-1-1-1222222-1-2-2-1-1-1-2-2-12-1211110022-1-1-1-12-2-211-1-1-1-1-2-211110-2-200-2-200-1-1001111211-1-100200-1-11100000000000
χ2522222-1222-1-1-122-2-2-2-2-122-1-1-122-12-12-1-1-1-100-2-21111222-1-1-1-1-1-122-1-1-1-10-2-200-2-200110011112-1-1-1-100-200111100000000000
χ2622222-1222-1-1-122-2-2-2-2-122-1-1-1-2-2-12-12111100-2-21111-222-1-111-1-1-2-211110-2-20022001100-1-1-1-1-2-1-11100200-1-11100000000000
χ2722222-1222-1-1-122-2-2-2-2-1-2-2-1-1-122-12-12-1-1-1-100-2-21111-2-2-21111-1-122-1-1-1-102200-2-20011001111-2111100200-1-1-1-100000000000
χ2822222-1222-1-1-122-2-2-2-2-1-2-2-1-1-1-2-2-12-12111100-2-211112-2-211-1-1-1-1-2-211110220022001100-1-1-1-1211-1-100-20011-1-100000000000
χ292222-1222-1222-1-10000-122-1-1-1222-12-12222220000002-1-12222-1-1-1-1-1-1-1-120022002200-1-10000-1-1-1-1-10002-10000-1-1-1-100000-10
χ302222-1222-1222-1-10000-122-1-1-1222-12-12222-2-20000002-1-12222-1-1-1-1-1-1-1-1-200-2-200-2-200110000-1-1-1-1-1000-21000011110000010
χ312222-1222-1222-1-10000-122-1-1-1-2-22-12-1-2-2-2-222000000-2-1-122-2-2-1-11111112002200-2-200-1-100001-1-111000-2-10000-1-1110000010
χ322222-1222-1222-1-10000-122-1-1-1-2-22-12-1-2-2-2-2-2-2000000-2-1-122-2-2-1-1111111-200-2-20022001100001-1-11100021000011-1-100000-10
χ332222-1222-1222-1-10000-1-2-2-1-1-1222-12-1222222000000-211-2-2-2-2-1-1-1-1-1-1-1-1200-2-2002200-1-1000011111000-2-1000011-1-10000010
χ342222-1222-1222-1-10000-1-2-2-1-1-1222-12-12222-2-2000000-211-2-2-2-2-1-1-1-1-1-1-1-1-2002200-2-20011000011111000210000-1-11100000-10
χ352222-1222-1222-1-10000-1-2-2-1-1-1-2-22-12-1-2-2-2-222000000211-2-222-1-1111111200-2-200-2-200-1-10000-111-1-10002-10000111100000-10
χ362222-1222-1222-1-10000-1-2-2-1-1-1-2-22-12-1-2-2-2-2-2-2000000211-2-222-1-1111111-20022002200110000-111-1-1000-210000-1-1-1-10000010
χ3722-2-2222-2-2-2-22-222i2i−2i−2i2002-2-200-2-2220000002i−2i2i2i−2i−2i00000002-20000000002i−2i00002i−2i000000000000000000002i−2i002-200000
χ3822-2-2222-2-2-2-22-222i2i−2i−2i2002-2-200-2-2220000002i−2i2i2i−2i−2i00000002-2000000000−2i2i00002i−2i00000000000000000000−2i2i00-2200000
χ3922-2-2222-2-2-2-22-22−2i−2i2i2i2002-2-200-2-222000000−2i2i−2i−2i2i2i00000002-20000000002i−2i0000−2i2i000000000000000000002i−2i00-2200000
χ4022-2-2222-2-2-2-22-22−2i−2i2i2i2002-2-200-2-222000000−2i2i−2i−2i2i2i00000002-2000000000−2i2i0000−2i2i00000000000000000000−2i2i002-200000
χ4122-2-222-22-2-2-22-222i2i−2i−2i22i−2i2-2-20022-2-2000000−2i2i2i2i−2i−2i02i−2i2i−2i00-2200000002-2000000−2i2i00000002i−2i0000000002-200000000000
χ4222-2-222-22-2-2-22-222i2i−2i−2i2−2i2i2-2-20022-2-2000000−2i2i2i2i−2i−2i0−2i2i−2i2i00-220000000-22000000−2i2i0000000−2i2i000000000-2200000000000
χ4322-2-222-22-2-2-22-22−2i−2i2i2i22i−2i2-2-20022-2-20000002i−2i−2i−2i2i2i02i−2i2i−2i00-220000000-220000002i−2i00000002i−2i000000000-2200000000000
χ4422-2-222-22-2-2-22-22−2i−2i2i2i2−2i2i2-2-20022-2-20000002i−2i−2i−2i2i2i0−2i2i−2i2i00-2200000002-20000002i−2i0000000−2i2i0000000002-200000000000
χ4522-2-22-1-22-211-1-222i2i−2i−2i-12i−2i-11100-121-2−i3−i3i3i300−2i2i−i−iii02i−2i−ii3−31-100−i3−i3i3i302-2000000i−i0033−3−30−ii3−300000−i3i3-1100000000000
χ4622-2-22-1-22-211-1-222i2i−2i−2i-12i−2i-11100-121-2i3i3−i3−i300−2i2i−i−iii02i−2i−ii−331-100i3i3−i3−i302-2000000i−i00−3−3330−ii−3300000i3−i3-1100000000000
χ4722-2-22-1-22-211-1-222i2i−2i−2i-1−2i2i-11100-121-2−i3−i3i3i300−2i2i−i−iii0−2i2ii−i−331-100−i3−i3i3i30-22000000i−i0033−3−30i−i−3300000i3−i31-100000000000
χ4822-2-22-1-22-211-1-222i2i−2i−2i-1−2i2i-11100-121-2i3i3−i3−i300−2i2i−i−iii0−2i2ii−i3−31-100i3i3−i3−i30-22000000i−i00−3−3330i−i3−300000−i3i31-100000000000
χ4922-2-22-1-22-211-1-22−2i−2i2i2i-12i−2i-11100-121-2−i3−i3i3i3002i−2iii−i−i02i−2i−ii3−31-100−i3−i3i3i30-22000000−ii00−3−3330−ii3−300000i3−i31-100000000000
χ5022-2-22-1-22-211-1-22−2i−2i2i2i-12i−2i-11100-121-2i3i3−i3−i3002i−2iii−i−i02i−2i−ii−331-100i3i3−i3−i30-22000000−ii0033−3−30−ii−3300000−i3i31-100000000000
χ5122-2-22-1-22-211-1-22−2i−2i2i2i-1−2i2i-11100-121-2−i3−i3i3i3002i−2iii−i−i0−2i2ii−i−331-100−i3−i3i3i302-2000000−ii00−3−3330i−i−3300000−i3i3-1100000000000
χ5222-2-22-1-22-211-1-22−2i−2i2i2i-1−2i2i-11100-121-2i3i3−i3−i3002i−2iii−i−i0−2i2ii−i3−31-100i3i3−i3−i302-2000000−ii0033−3−30i−i3−300000i3−i3-1100000000000
χ532-22-22200-22-2-22-22-22-2200-22-2−i2i20000−i2i2−i2i22i−2i002-22-2000000000−i2i2−i2i2−i2i200000−i2i22−2002i−2i−i2i2−i2i2000002i−2i0000000002−20002−200
χ542-22-22200-22-2-22-22-22-2200-22-2−i2i20000−i2i2−i2i2−2i2i002-22-2000000000−i2i2−i2i2−i2i200000−i2i2−2200−2i2i−i2i2−i2i200000−2i2i000000000−22000−2200
χ552-22-22200-22-2-22-22-22-2200-22-2i2−i20000i2−i2i2−i22i−2i002-22-2000000000i2−i2i2−i2i2−i200000i2−i2−22002i−2ii2−i2i2−i2000002i−2i000000000−22000−2200
χ562-22-22200-22-2-22-22-22-2200-22-2i2−i20000i2−i2i2−i2−2i2i002-22-2000000000i2−i2i2−i2i2−i200000i2−i22−200−2i2ii2−i2i2−i200000−2i2i0000000002−20002−200
χ572-22-22200-22-2-22-2-22-22200-22-2−i2i20000−i2i2−i2i22i−2i00-22-22000000000−i2i2−i2i2−i2i200000i2−i22−2002i−2ii2−i2i2−i200000−2i2i0000000002−2000−2200
χ582-22-22200-22-2-22-2-22-22200-22-2−i2i20000−i2i2−i2i2−2i2i00-22-22000000000−i2i2−i2i2−i2i200000i2−i2−2200−2i2ii2−i2i2−i2000002i−2i000000000−220002−200
χ592-22-22200-22-2-22-2-22-22200-22-2i2−i20000i2−i2i2−i22i−2i00-22-22000000000i2−i2i2−i2i2−i200000−i2i2−22002i−2i−i2i2−i2i200000−2i2i000000000−220002−200
χ602-22-22200-22-2-22-2-22-22200-22-2i2−i20000i2−i2i2−i2−2i2i00-22-22000000000i2−i2i2−i2i2−i200000−i2i22−200−2i2i−i2i2−i2i2000002i−2i0000000002−2000−2200
χ6144444-2-4-44-2-2-2444444-200-2-2-2002-42-4000000-4-4-2-2-2-2000000022000000000000000220000000000000000000000000000000
χ6244444-2-4-44-2-2-244-4-4-4-4-200-2-2-2002-42-4000000442222000000022000000000000000-2-20000000000000000000000000000000
χ634444-24-4-4-2444-2-20000-200-2-2-200-42-42000044000000000000022000000-40000000000-2-200000000000002000000000000000
χ644444-24-4-4-2444-2-20000-200-2-2-200-42-420000-4-400000000000002200000040000000000220000000000000-2000000000000000
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
χ6944-4-44-24-4-422-2-444i4i−4i−4i-200-222002-4-240000004i−4i−2i−2i2i2i0000000-22000000000000000−2i2i0000000000000000000000000000000
χ7044-4-44-24-4-422-2-44−4i−4i4i4i-200-222002-4-24000000−4i4i2i2i−2i−2i0000000-220000000000000002i−2i0000000000000000000000000000000
χ7144-4-4-244-42-4-442-20000-200-22200-424-20000000000000000000-220000000004i−4i00000000000000000000000000−2i2i000000000
χ7244-4-4-244-42-4-442-20000-200-22200-424-20000000000000000000-22000000000−4i4i000000000000000000000000002i−2i000000000
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χ7644-4-4-2-2-44222-22-2000014i−4i1-1-100-2-2222i32i3−2i3−2i3000000000−2i2i−2i2i−2323-1100−i3−i3i3i3000000000000000000i−i3−300000000000000000000
χ7744-4-4-2-2-44222-22-200001−4i4i1-1-100-2-222−2i3−2i32i32i30000000002i−2i2i−2i−2323-1100i3i3−i3−i3000000000000000000−ii3−300000000000000000000
χ7844-4-4-2-2-44222-22-200001−4i4i1-1-100-2-2222i32i3−2i3−2i30000000002i−2i2i−2i23−23-1100−i3−i3i3i3000000000000000000−ii−3300000000000000000000
χ794-44-44-200-4-2224-44-44-4-2002-22−2i22i20000i2−i2i2−i20000-22-22000000000−2i22i2i2−i2i2−i200000−2i22i2000000i2−i2i2−i20000000000000000000000000
χ804-44-44-200-4-2224-44-44-4-2002-222i2−2i20000−i2i2−i2i20000-22-220000000002i2−2i2−i2i2−i2i2000002i2−2i2000000−i2i2−i2i20000000000000000000000000
χ814-44-44-200-4-2224-4-44-44-2002-22−2i22i20000i2−i2i2−i200002-22-2000000000−2i22i2i2−i2i2−i2000002i2−2i2000000−i2i2−i2i20000000000000000000000000
χ824-44-44-200-4-2224-4-44-44-2002-222i2−2i20000−i2i2−i2i200002-22-20000000002i2−2i2−i2i2−i2i200000−2i22i2000000i2−i2i2−i20000000000000000000000000
χ834-44-4-240024-4-4-220000-2002-22−2i22i20000−2i22i2−2i22i24i−4i000000000000000i2−i2i2−i2i2−i2000000022−2200−2i2i00000000000000000000−220000000
χ844-44-4-240024-4-4-220000-2002-22−2i22i20000−2i22i2−2i22i2−4i4i000000000000000i2−i2i2−i2i2−i20000000−2222002i−2i000000000000000000002−20000000
χ854-44-4-240024-4-4-220000-2002-222i2−2i200002i2−2i22i2−2i24i−4i000000000000000−i2i2−i2i2−i2i20000000−222200−2i2i000000000000000000002−20000000
χ864-44-4-240024-4-4-220000-2002-222i2−2i200002i2−2i22i2−2i2−4i4i000000000000000−i2i2−i2i2−i2i2000000022−22002i−2i00000000000000000000−220000000
χ874-4-4444004-44-4-4-44i−4i−4i4i400-4-44000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ884-4-4444004-44-4-4-4−4i4i4i−4i400-4-4400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ894-4-444-20042-22-4-44i−4i−4i4i-20022-20000006−6−660000−2i2i2i−2i000000000006−6−660000000000000i6−i6−i6i60000000000000000000000000
χ904-4-444-20042-22-4-44i−4i−4i4i-20022-2000000−666−60000−2i2i2i−2i00000000000−666−60000000000000−i6i6i6−i60000000000000000000000000
χ914-4-444-20042-22-4-4−4i4i4i−4i-20022-20000006−6−6600002i−2i−2i2i000000000006−6−660000000000000−i6i6i6−i60000000000000000000000000
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χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-48-8444-44-400002002-2-20044-4-400000000000000000002-2000000000000000000000000000000000000000000000000
χ958-88-8-4-4004-444-440000200-22-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000000
χ968-88-8-4-4004-444-440000200-22-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000000
χ978-8-88-4800-4-88-8440000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-400-44-44440000200-2-2200000026−26−26260000000000000000000−666−6000000000000000000000000000000000000000000
χ998-8-88-4-400-44-44440000200-2-22000000−262626−2600000000000000000006−6−66000000000000000000000000000000000000000000

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