Finite Group Databasebeta

← Group #11872286

Character table — Group #11872286

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order122233446666662346661212121212124444246666661212121212121222444488121212126661212122466668121212121212242424244444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1111-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-111-1-1111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-11111111111111111111-1-111-1-1-1-1111111-1-1-1-1111-111-1-1-11111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111111111-1-1-1-1-1-111-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111111111-1-1-1
χ911111111111111-11-111111-1-11111111-1-1-111-1-1-1-1-111-1-111-1-1-1-1-1-11111111-1-1-1-11-1-1111-1-1-1-11111-1-111-1-1-1-11
χ1011111111111111-11-111111-1-11111111-1-1-111-1-1-1-1-111-1-1-1-111-1-1111111111-1-1-1-11-1-1-1-1-1-111-111-1-111-1-11111-1
χ1111111111111111-11-111111-1-1111111-11-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-11111-11111-1-1-1-1-1-1-1-1-11111-1-111-1
χ1211111111111111-11-111111-1-1111111-11-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-11111-111-1-11-111-1-1-111-1-1-1-111-1-11
χ1311111111111111-11-111111-1-111-1-1-1-11-1-1-111-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1111-1-1-11-1111111-1-11-1-111-1-1-1-11111-1
χ1411111111111111-11-111111-1-111-1-1-1-11-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-1-11-111-1-1-11111-1-1-1-11111-1-1-1-11
χ1511111111111111-11-111111-1-111-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1111-11-1-111-11-1-1111-1-111-1-111-1-11
χ1611111111111111-11-111111-1-111-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-11-1-1-1-1111111111-1-111-1-111-1
χ17222222-2-222222222-2222-2-2-2-2-2-222-2-200220022-200-2-2-2-20000-2200-2-2220000000000000200-20000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-22200220022-200-2-2-2-200002-20022-2-20000000000000-20020000000000000
χ19222222-2-2222222-222222-2-222-2-222-2-200-2-200-2-2200-2-22200002-200-2-2220000000000000-20020000000000000
χ20222222-2-2222222-222222-2-222-2-2-2-22200-2-200-2-2200-2-2220000-220022-2-20000000000000200-20000000000000
χ2122222-12222-12-1-12-12-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-100002200-1-1-1-12-1-12-1-122-1-1000-100-1-1-100000000000
χ2222222-12222-12-1-12-12-1-1-1-1-122222222-2-22-111-1-1-111-1-1-1-100002200-1-1-1-1-211-211-2-211000-100-11100000000000
χ2322222-12222-12-1-12-12-1-1-1-1-12222-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-10000-2-20011112-1-12-1-1-2-21100010011100000000000
χ2422222-12222-12-1-12-12-1-1-1-1-12222-2-2-2-2-2-22-111-1-1-111-1-1-1-10000-2-2001111-211-21122-1-10001001-1-100000000000
χ2522222-12222-12-1-1-2-1-2-1-1-1-1-1-2-22222222-2-21-1-111111-1-1110000-2-200-1-1-1-12-1-1-211-22110001001-1-100000000000
χ2622222-12222-12-1-1-2-1-2-1-1-1-1-1-2-2222222-22-2111111-1-1-1-1110000-2-200-1-1-1-1-2112-1-12-2-1-100010011100000000000
χ2722222-12222-12-1-1-2-1-2-1-1-1-1-1-2-222-2-2-2-22-2-21-1-111111-1-1110000220011112-1-1-2112-2-1-1000-100-11100000000000
χ2822222-12222-12-1-1-2-1-2-1-1-1-1-1-2-222-2-2-2-2-22-2111111-1-1-1-111000022001111-2112-1-1-2211000-100-1-1-100000000000
χ2922222-1-2-222-12-1-12-1-2-1-1-111-2-2-2-222-2-2002-1−i3i3-1-11−i3i311110000-220011-1-10−i3i30−i3i300−i3i3000-1001−i3i300000000000
χ3022222-1-2-222-12-1-12-1-2-1-1-111-2-2-2-222-2-2002-1i3−i3-1-11i3−i311110000-220011-1-10i3−i30i3−i300i3−i3000-1001i3−i300000000000
χ3122222-1-2-222-12-1-12-1-2-1-1-111-2-2-2-2-2-222002-1−i3i3-1-11−i3i3111100002-200-1-1110−i3i30−i3i300i3−i3000100-1i3−i300000000000
χ3222222-1-2-222-12-1-12-1-2-1-1-111-2-2-2-2-2-222002-1i3−i3-1-11i3−i3111100002-200-1-1110i3−i30i3−i300−i3i3000100-1−i3i300000000000
χ3322222-1-2-222-12-1-1-2-12-1-1-11122-2-222-2-200-21−i3i311-1i3−i311-1-100002-20011-1-10−i3i30i3−i300i3−i3000100-1−i3i300000000000
χ3422222-1-2-222-12-1-1-2-12-1-1-11122-2-222-2-200-21i3−i311-1−i3i311-1-100002-20011-1-10i3−i30−i3i300−i3i3000100-1i3−i300000000000
χ3522222-1-2-222-12-1-1-2-12-1-1-11122-2-2-2-22200-21−i3i311-1i3−i311-1-10000-2200-1-1110−i3i30i3−i300−i3i3000-1001i3−i300000000000
χ3622222-1-2-222-12-1-1-2-12-1-1-11122-2-2-2-22200-21i3−i311-1−i3i311-1-10000-2200-1-1110i3−i30−i3i300i3−i3000-1001−i3i300000000000
χ372222-1222-1-12-1222-12-1-1-122-1-1-1-1000022-1222-1-1222-1-1-1-1222200220000-1-1-1-1-1-10000-1-120-1-1000-1-1-1-10000000
χ382222-1222-1-12-1222-12-1-1-122-1-1-1-1000022-1222-1-1222-1-1-1-1-2-2-2-200-2-20000-1-1-1-1-1-1000011-201100011110000000
χ392222-1222-1-12-1222-12-1-1-122-1-1-1-10000-2-2-12-2-2-1-12-2-2-1-1-1-1222200-2-200001111110000-1-1-20-1-100011110000000
χ402222-1222-1-12-1222-12-1-1-122-1-1-1-10000-2-2-12-2-2-1-12-2-2-1-1-1-1-2-2-2-2002200001111110000112011000-1-1-1-10000000
χ412222-1222-1-12-122-2-1-2-1-1-12211-1-100002-21-22211-2-2-2-1-11122-2-200-2-20000-1-1-11110000-1-12011000-1-1110000000
χ422222-1222-1-12-122-2-1-2-1-1-12211-1-100002-21-22211-2-2-2-1-111-2-22200220000-1-1-1111000011-20-1-100011-1-10000000
χ432222-1222-1-12-122-2-1-2-1-1-12211-1-10000-221-2-2-211-222-1-11122-2-200220000111-1-1-10000-1-1-201100011-1-10000000
χ442222-1222-1-12-122-2-1-2-1-1-12211-1-10000-221-2-2-211-222-1-111-2-22200-2-20000111-1-1-100001120-1-1000-1-1110000000
χ4522-2-2222-2-2-222-2-2020-22-22-2002-22i−2i2i−2i000000000002-200002-200002i−2i2i−2i000000000000002-20000000002i−2i000
χ4622-2-2222-2-2-222-2-2020-22-22-2002-22i−2i2i−2i000000000002-20000-2200002i−2i2i−2i00000000000000-22000000000−2i2i000
χ4722-2-2222-2-2-222-2-2020-22-22-2002-2−2i2i−2i2i000000000002-200002-20000−2i2i−2i2i000000000000002-2000000000−2i2i000
χ4822-2-2222-2-2-222-2-2020-22-22-2002-2−2i2i−2i2i000000000002-20000-220000−2i2i−2i2i00000000000000-220000000002i−2i000
χ4922-2-222-22-2-222-2-2020-22-2-2200-222i−2i−2i2i00000000000-22002-2000000−2i2i2i−2i00000000002-2000000000002i−2i00000
χ5022-2-222-22-2-222-2-2020-22-2-2200-222i−2i−2i2i00000000000-2200-22000000−2i2i2i−2i0000000000-2200000000000−2i2i00000
χ5122-2-222-22-2-222-2-2020-22-2-2200-22−2i2i2i−2i00000000000-22002-20000002i−2i−2i2i00000000002-200000000000−2i2i00000
χ5222-2-222-22-2-222-2-2020-22-2-2200-22−2i2i2i−2i00000000000-2200-220000002i−2i−2i2i0000000000-22000000000002i−2i00000
χ534444-24-4-4-2-24-2444-2-4-2-2-2-4-42222000000-2400-2-2-4002222000000000000000000000000000000000000000000
χ544444-24-4-4-2-24-244-4-24-2-2-2-4-4-2-2220000002-4002240022-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-2000044-2-2-2-211-2-2-21111000000000000-211-211000000000000000000000000
χ564444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-20000-4-4-2-22211-22211110000000000002-1-12-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-4111-2-222-2-200004-422-2-2-1-122211-1-1000000000000-2112-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-4111-2-222-2-20000-442222-1-12-2-211-1-10000000000002-1-1-211000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4111222222000000-2-2−2i32i3112−2i32i3-1-1-1-10000000000000i3−i30i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4111222222000000-2-22i3−2i31122i3−2i3-1-1-1-10000000000000−i3i30−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-41411122-2-22200000022−2i32i3-1-1-22i3−2i3-1-1110000000000000i3−i30−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-41411122-2-222000000222i3−2i3-1-1-2−2i32i3-1-1110000000000000−i3i30i3−i3000000000000000000000000
χ6344-4-44-24-4-4-4-24220-202-22-22004-44i−4i4i−4i00000000000-220000000000−2i2i−2i2i000000000000000000000000000000
χ6444-4-44-24-4-4-4-24220-202-22-22004-4−4i4i−4i4i00000000000-2200000000002i−2i2i−2i000000000000000000000000000000
χ6544-4-44-2-44-4-4-24220-202-222-200-444i−4i−4i4i000000000002-200000000002i−2i−2i2i000000000000000000000000000000
χ6644-4-44-2-44-4-4-24220-202-222-200-44−4i4i4i−4i000000000002-20000000000−2i2i2i−2i000000000000000000000000000000
χ6744-4-4-244-4224-2-4-40-202-224-400-22000000000000000-2200004-40000000000000000000000-2200000000000000
χ6844-4-4-244-4224-2-4-40-202-224-400-22000000000000000-220000-4400000000000000000000002-200000000000000
χ6944-4-4-24-44224-2-4-40-202-22-44002-20000000000000002-2004-400000000000000000000-22000000000000000000
χ7044-4-4-24-44224-2-4-40-202-22-44002-20000000000000002-200-44000000000000000000002-2000000000000000000
χ714-44-444004-4-4-4-440404-4-40000000000000000000000000000000−2i22i20000000000000000000000000−2i22i20000000
χ724-44-444004-4-4-4-440404-4-400000000000000000000000000000002i2−2i200000000000000000000000002i2−2i20000000
χ734-44-4-2400-22-42-440-20-2220023−23000000000000000000023−23000000−2i22i200000000000000000000000i6−i6i2−i20000000
χ744-44-4-2400-22-42-440-20-2220023−23000000000000000000023−230000002i2−2i200000000000000000000000−i6i6−i2i20000000
χ754-44-4-2400-22-42-440-20-22200−23230000000000000000000−2323000000−2i22i200000000000000000000000−i6i6i2−i20000000
χ764-44-4-2400-22-42-440-20-22200−23230000000000000000000−23230000002i2−2i200000000000000000000000i6−i6−i2i20000000
χ774-4-444400-44-4-44-4040-4-44000000000000000000000000000000000000000000000000000000000000000022−220
χ784-4-444400-44-4-44-4040-4-440000000000000000000000000000000000000000000000000000000000000000−22220
χ7988-8-8-4-48-844-4-444020-22-2-4400-440000000000000002-200000000000000000000000000000000000000000000
χ8088-8-8-4-4-8844-4-444020-22-24-4004-4000000000000000-2200000000000000000000000000000000000000000000
χ818-88-88-4008-84-84-40-40-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-44444-40202-2-20043−430000000000000000000−2323000000000000000000000000000000000000000000
χ838-88-8-4-400-44444-40202-2-200−4343000000000000000000023−23000000000000000000000000000000000000000000
χ848-8-888-400-884-8-440-4044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-4-848-80-4044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-444-44020-2-2200000000000000006-60000000000000000000000000000000000000000000000000
χ878-8-88-4-4004-444-44020-2-220000000000000000-660000000000000000000000000000000000000000000000000

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