Finite Group Databasebeta

← Group #11923588

Character table — Group #11923588

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222266668888121212121212121212121616161618182424242424243636363611112222666688881212121212121212121216161616181824242424242436363636
order1244361212224436121224688122424242436121224666121212248822446612122244661212246881224242424661212246661212122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-11-1-11-1-1-1-1111111-111-111-1-1-1-11111111111111111-1-11-1-11-1-1-1-1111111-111-111-1-1-1-1
χ3111111111-1-11111111111111111111-1-11-1-11-1-1-1-1-1-1111111111-1-11111111111111111111-1-11-1-11-1-1-1-1-1-1
χ4111111111-1-111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511-1-111-1-1-11-1111-1-11-1-11-1111-1-111-1-1-11111-1-1-1-111-111-1-111-1-1-11-1111-1-11-1-11-1111-1-111-1-1-11111-1-1-1-111-1
χ611-1-111-1-1-11-1111-1-1-11-1-111-1-11111-1-1-11-1111-1-11-1-1111-1-111-1-1-11-1111-1-1-11-1-111-1-11111-1-1-11-1111-1-11-1-11
χ711-1-111-1-1-1-11111-1-11-1-11-1111-1-111-1-11-11-1-1-1111-1-1111-1-111-1-1-1-11111-1-11-1-11-1111-1-111-1-11-11-1-1-1111-1-11
χ811-1-111-1-1-1-11111-1-1-11-1-111-1-11111-1-11-1-1-1-1111-111-111-1-111-1-1-1-11111-1-1-11-1-111-1-11111-1-11-1-1-1-1111-111-1
χ9222222222222-1-1-1-10020020000-1-1-1-1220-1-10-1-10000222222222222-1-1-1-10020020000-1-1-1-1220-1-10-1-10000
χ10222222222-2-22-1-1-1-10020020000-1-1-1-1-2-20110110000222222222-2-22-1-1-1-10020020000-1-1-1-1-2-20110110000
χ112222-1-1-1-12002222222-122-1-1-1-1-1-1-1-1-100-100-10000002222-1-1-1-12002222222-122-1-1-1-1-1-1-1-1-100-100-1000000
χ122222-1-1-1-120022222-2-2-1-2-2-11111-1-1-1-10010010000002222-1-1-1-120022222-2-2-1-2-2-11111-1-1-1-1001001000000
χ1322-2-222-2-2-22-22-1-11100-20020000-1-111-220-1-1011000022-2-222-2-2-22-22-1-11100-20020000-1-111-220-1-10110000
χ1422-2-222-2-2-2-222-1-11100-20020000-1-1112-20110-1-1000022-2-222-2-2-2-222-1-11100-20020000-1-1112-20110-1-10000
χ1522-2-2-1-111-200222-2-22-212-2-1-1-111-1-11100-100100000022-2-2-1-111-200222-2-22-212-2-1-1-111-1-11100-1001000000
χ1622-2-2-1-111-200222-2-2-221-22-111-1-1-1-11100100-100000022-2-2-1-111-200222-2-2-221-22-111-1-1-1-11100100-1000000
χ1733333333-133-1000011-1-1-1-1-1-1-1-10000-1-110010011-1-133333333-133-1000011-1-1-1-1-1-1-1-10000-1-110010011-1-1
χ1833333333-133-10000-1-1-111-111110000-1-1-100-100-1-11133333333-133-10000-1-1-111-111110000-1-1-100-100-1-111
χ1933333333-1-3-3-1000011-1-1-1-1-1-1-1-1000011100100-1-11133333333-1-3-3-1000011-1-1-1-1-1-1-1-1000011100100-1-111
χ2033333333-1-3-3-10000-1-1-111-11111000011-100-10011-1-133333333-1-3-3-10000-1-1-111-11111000011-100-10011-1-1
χ2133-3-333-3-313-3-100001-11-11-1-1-11100001-1100-100-11-1133-3-333-3-313-3-100001-11-11-1-1-11100001-1100-100-11-11
χ2233-3-333-3-313-3-10000-1111-1-111-1-100001-1-1001001-11-133-3-333-3-313-3-10000-1111-1-111-1-100001-1-1001001-11-1
χ2333-3-333-3-31-33-100001-11-11-1-1-1110000-11100-1001-11-133-3-333-3-31-33-100001-11-11-1-1-1110000-11100-1001-11-1
χ2433-3-333-3-31-33-10000-1111-1-111-1-10000-11-100100-11-1133-3-333-3-31-33-10000-1111-1-111-1-10000-11-100100-11-11
χ254444-2-2-2-24004-2-2-2-200-200-2000011110000000000004444-2-2-2-24004-2-2-2-200-200-200001111000000000000
χ2644-4-4-2-222-4004-2-22200200-2000011-1-100000000000044-4-4-2-222-4004-2-22200200-2000011-1-1000000000000
χ274-44i−4i4-44i−4i00001-1i−i00000000001-1i−i000−i3i303−300004-44i−4i4-44i−4i00001-1i−i00000000001-1i−i000−i3i303−30000
χ284-44i−4i4-44i−4i00001-1i−i00000000001-1i−i000i3−i30−3300004-44i−4i4-44i−4i00001-1i−i00000000001-1i−i000i3−i30−330000
χ294-44i−4i4-44i−4i0000-22−2i2i0000000000-22−2i2i0000000000004-44i−4i4-44i−4i0000-22−2i2i0000000000-22−2i2i000000000000
χ304-44i−4i-22−2i2i0000-22−2i2i0000006−6i6−i61-1i−i0000000000004-44i−4i-22−2i2i0000-22−2i2i0000006−6i6−i61-1i−i000000000000
χ314-44i−4i-22−2i2i0000-22−2i2i000000−66−i6i61-1i−i0000000000004-44i−4i-22−2i2i0000-22−2i2i000000−66−i6i61-1i−i000000000000
χ324-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii000−i3i30−3300004-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii000−i3i30−330000
χ334-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii000i3−i303−300004-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii000i3−i303−30000
χ344-4−4i4i4-4−4i4i0000-222i−2i0000000000-222i−2i0000000000004-4−4i4i4-4−4i4i0000-222i−2i0000000000-222i−2i000000000000
χ354-4−4i4i-222i−2i0000-222i−2i0000006−6−i6i61-1−ii0000000000004-4−4i4i-222i−2i0000-222i−2i0000006−6−i6i61-1−ii000000000000
χ364-4−4i4i-222i−2i0000-222i−2i000000−66i6−i61-1−ii0000000000004-4−4i4i-222i−2i0000-222i−2i000000−66i6−i61-1−ii000000000000
χ376666-3-3-3-3-200-20000221-2-211111000000-100-10000006666-3-3-3-3-200-20000221-2-211111000000-100-1000000
χ386666-3-3-3-3-200-20000-2-21221-1-1-1-100000010010000006666-3-3-3-3-200-20000-2-21221-1-1-1-10000001001000000
χ3966-6-6-3-333200-200002-2-1-22111-1-1000000-100100000066-6-6-3-333200-200002-2-1-22111-1-1000000-1001000000
χ4066-6-6-3-333200-20000-22-12-21-1-111000000100-100000066-6-6-3-333200-20000-22-12-21-1-111000000100-1000000
χ418-88i−8i-44−4i4i00002-22i−2i0000000000-11−ii0000000000008-88i−8i-44−4i4i00002-22i−2i0000000000-11−ii000000000000
χ428-8−8i8i-444i−4i00002-2−2i2i0000000000-11i−i0000000000008-8−8i8i-444i−4i00002-2−2i2i0000000000-11i−i000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111-1-11-1-11-1-1-1-1111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1-1-11-1-11-1-11111
χ45111111111-1-11111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1111111
χ46111111111-1-111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-111-11111-1-1-1-111111111-1-1-1-1
χ4711-1-111-1-1-11-1111-1-11-1-11-1111-1-111-1-1-11111-1-1-1-111-1-1-111-1-1111-11-1-1-111-111-11-1-1-111-1-1111-1-1-1-11111-1-11
χ4811-1-111-1-1-11-1111-1-1-11-1-111-1-11111-1-1-11-1111-1-11-1-11-1-111-1-1111-11-1-1-1111-111-1-111-1-1-1-1111-11-1-1-111-111-1
χ4911-1-111-1-1-1-11111-1-11-1-11-1111-1-111-1-11-11-1-1-1111-1-11-1-111-1-11111-1-1-1-111-111-11-1-1-111-1-111-11-1111-1-1-111-1
χ5011-1-111-1-1-1-11111-1-1-11-1-111-1-11111-1-11-1-1-1-1111-111-1-1-111-1-11111-1-1-1-1111-111-1-111-1-1-1-111-11111-1-1-11-1-11
χ51222222222222-1-1-1-10020020000-1-1-1-1220-1-10-1-10000-2-2-2-2-2-2-2-2-2-2-2-2111100-200-200001111-2-20110110000
χ52222222222-2-22-1-1-1-10020020000-1-1-1-1-2-20110110000-2-2-2-2-2-2-2-2-222-2111100-200-200001111220-1-10-1-10000
χ532222-1-1-1-12002222222-122-1-1-1-1-1-1-1-1-100-100-1000000-2-2-2-21111-200-2-2-2-2-2-2-21-2-2111111111001001000000
χ542222-1-1-1-120022222-2-2-1-2-2-11111-1-1-1-1001001000000-2-2-2-21111-200-2-2-2-2-2221221-1-1-1-1111100-100-1000000
χ5522-2-222-2-2-22-22-1-11100-20020000-1-111-220-1-10110000-2-222-2-2222-22-211-1-100200-2000011-1-12-20110-1-10000
χ5622-2-222-2-2-2-222-1-11100-20020000-1-1112-20110-1-10000-2-222-2-22222-2-211-1-100200-2000011-1-1-220-1-10110000
χ5722-2-2-1-111-200222-2-22-212-2-1-1-111-1-11100-1001000000-2-22211-1-1200-2-2-222-22-1-22111-1-111-1-100100-1000000
χ5822-2-2-1-111-200222-2-2-221-22-111-1-1-1-11100100-1000000-2-22211-1-1200-2-2-2222-2-12-21-1-11111-1-100-1001000000
χ5933333333-133-1000011-1-1-1-1-1-1-1-10000-1-110010011-1-1-3-3-3-3-3-3-3-31-3-310000-1-111111111000011-100-100-1-111
χ6033333333-133-10000-1-1-111-111110000-1-1-100-100-1-111-3-3-3-3-3-3-3-31-3-310000111-1-11-1-1-1-100001110010011-1-1
χ6133333333-1-3-3-1000011-1-1-1-1-1-1-1-1000011100100-1-111-3-3-3-3-3-3-3-313310000-1-1111111110000-1-1-100-10011-1-1
χ6233333333-1-3-3-10000-1-1-111-11111000011-100-10011-1-1-3-3-3-3-3-3-3-313310000111-1-11-1-1-1-10000-1-1100100-1-111
χ6333-3-333-3-313-3-100001-11-11-1-1-11100001-1100-100-11-11-3-333-3-333-1-3310000-11-11-1111-1-10000-11-1001001-11-1
χ6433-3-333-3-313-3-10000-1111-1-111-1-100001-1-1001001-11-1-3-333-3-333-1-33100001-1-1-111-1-1110000-11100-100-11-11
χ6533-3-333-3-31-33-100001-11-11-1-1-1110000-11100-1001-11-1-3-333-3-333-13-310000-11-11-1111-1-100001-1-100100-11-11
χ6633-3-333-3-31-33-10000-1111-1-111-1-10000-11-100100-11-11-3-333-3-333-13-3100001-1-1-111-1-11100001-1100-1001-11-1
χ674444-2-2-2-24004-2-2-2-200-200-200001111000000000000-4-4-4-42222-400-422220020020000-1-1-1-1000000000000
χ6844-4-4-2-222-4004-2-22200200-2000011-1-1000000000000-4-44422-2-2400-422-2-200-20020000-1-111000000000000
χ694-44i−4i4-44i−4i00001-1i−i00000000001-1i−i000−i3i303−30000-44−4i4i-44−4i4i0000-11−ii0000000000-11−ii000i3−i30−330000
χ704-44i−4i4-44i−4i00001-1i−i00000000001-1i−i000i3−i30−330000-44−4i4i-44−4i4i0000-11−ii0000000000-11−ii000−i3i303−30000
χ714-44i−4i4-44i−4i0000-22−2i2i0000000000-22−2i2i000000000000-44−4i4i-44−4i4i00002-22i−2i00000000002-22i−2i000000000000
χ724-44i−4i-22−2i2i0000-22−2i2i0000006−6i6−i61-1i−i000000000000-44−4i4i2-22i−2i00002-22i−2i000000−66−i6i6-11−ii000000000000
χ734-44i−4i-22−2i2i0000-22−2i2i000000−66−i6i61-1i−i000000000000-44−4i4i2-22i−2i00002-22i−2i0000006−6i6−i6-11−ii000000000000
χ744-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii000−i3i30−330000-444i−4i-444i−4i0000-11i−i0000000000-11i−i000i3−i303−30000
χ754-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii000i3−i303−30000-444i−4i-444i−4i0000-11i−i0000000000-11i−i000−i3i30−330000
χ764-4−4i4i4-4−4i4i0000-222i−2i0000000000-222i−2i000000000000-444i−4i-444i−4i00002-2−2i2i00000000002-2−2i2i000000000000
χ774-4−4i4i-222i−2i0000-222i−2i0000006−6−i6i61-1−ii000000000000-444i−4i2-2−2i2i00002-2−2i2i000000−66i6−i6-11i−i000000000000
χ784-4−4i4i-222i−2i0000-222i−2i000000−66i6−i61-1−ii000000000000-444i−4i2-2−2i2i00002-2−2i2i0000006−6−i6i6-11i−i000000000000
χ796666-3-3-3-3-200-20000221-2-211111000000-100-1000000-6-6-6-6333320020000-2-2-122-1-1-1-1-10000001001000000
χ806666-3-3-3-3-200-20000-2-21221-1-1-1-10000001001000000-6-6-6-633332002000022-1-2-2-11111000000-100-1000000
χ8166-6-6-3-333200-200002-2-1-22111-1-1000000-1001000000-6-66633-3-3-20020000-2212-2-1-1-111000000100-1000000
χ8266-6-6-3-333200-20000-22-12-21-1-111000000100-1000000-6-66633-3-3-200200002-21-22-111-1-1000000-1001000000
χ838-88i−8i-44−4i4i00002-22i−2i0000000000-11−ii000000000000-88−8i8i4-44i−4i0000-22−2i2i00000000001-1i−i000000000000
χ848-8−8i8i-444i−4i00002-2−2i2i0000000000-11i−i000000000000-888i−8i4-4−4i4i0000-222i−2i00000000001-1−ii000000000000

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