Finite Group Databasebeta

← #6500256

Subgroups — #6500256

Order 512.

3336 conjugacy classes of subgroups.

The subgroup lattice has 1749 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3536C211yesmaximal, characteristic
2C2×#3201C211yesmaximal, characteristic, complemented
3C2×#3063C211yesmaximal, characteristic, complemented
4#37374C211yesmaximal, characteristic, complemented
5#25561C211yesmaximal, characteristic, complemented
6#25547C211yesmaximal, characteristic, complemented
7#25545C211yesmaximal, characteristic, complemented
8#25531C211yesmaximal, characteristic, complemented
9#25514C211yesmaximal, characteristic, complemented
10#25514C211yesmaximal, characteristic, complemented
11#25509C211yesmaximal, characteristic, complemented
12#25509C211yesmaximal, characteristic, complemented
13#24452C211yesmaximal, characteristic, complemented
14#24449C211yesmaximal, characteristic, complemented
15#24436C211yesmaximal, characteristic, complemented
16#24433C211yesmaximal, characteristic, complemented
17#24386C211yesmaximal, characteristic, complemented
18#24385C211yesmaximal, characteristic, complemented
19#24380C211yesmaximal, characteristic, complemented
20#24379C211yesmaximal, characteristic, complemented
21#24109C211yesmaximal, characteristic, complemented
22#24100C211yesmaximal, characteristic, complemented
23#24040C211yesmaximal, characteristic, complemented
24#24037C211yesmaximal, characteristic, complemented
25#23970C211yesmaximal, characteristic, complemented
26#23961C211yesmaximal, characteristic, complemented
27#23867C211yesmaximal, characteristic, complemented
28#23862C211yesmaximal, characteristic, complemented
29#21772C211yesmaximal, characteristic, complemented
30#20976C211yesmaximal, characteristic, complemented
31#20899C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×#131C2211yescharacteristic, complemented
34#3536—28no—
35#3536—28no—
36C2×#562—21no—
37C2×#562—21no—
38C2×#554C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#548C2211yescharacteristic
41C2×#548C2211yescharacteristic
42C2×#547C2211yescharacteristic
43C2×#547C2211yescharacteristic
44C2×#546—21no—
45C2×#546—21no—
46C2×#546C2211yescharacteristic
47C2×#546C2211yescharacteristic
48C2×#543—21no—
49C2×#542C2211yescharacteristic
50C2×#542C2211yescharacteristic
51C2×#539—21no—
52C2×#538—21no—
53C2×#537—21no—
54C2×#537C2211yescharacteristic
55C2×#537C2211yescharacteristic
56C2×#536C2211yescharacteristic, complemented
57C2×#525C2211yescharacteristic
58C22×C22⋊Q8C2211yescharacteristic
59C22×#121C2211yescharacteristic
60#3201—28no—
61C2×#484C2211yescharacteristic, complemented
62C2×#485C2211yescharacteristic, complemented
63C2×#482C2211yescharacteristic, complemented
64C2×#483C2211yescharacteristic, complemented
65#3063—28no—
66C2×#470C2211yescharacteristic, complemented
67C2×#470C2211yescharacteristic, complemented
68C2×#470C2211yescharacteristic, complemented
69C2×#468C2211yescharacteristic
70C2×#468C2211yescharacteristic
71C2×#468C2211yescharacteristic, complemented
72C2×#467C2211yescharacteristic, complemented
73C2×#467C2211yescharacteristic, complemented
74C2×#467C2211yescharacteristic, complemented
75C2×#465C2211yescharacteristic
76C2×#465C2211yescharacteristic
77C2×#465C2211yescharacteristic, complemented
78C2×#452C2211yescharacteristic, complemented
79C2×#452C2211yescharacteristic, complemented
80C2×#451C2211yescharacteristic, complemented
81C2×#451C2211yescharacteristic, complemented
82C2×#451C2211yescharacteristic, complemented
83C2×#448C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic
85C2×#450C2211yescharacteristic
86C2×#428C2211yescharacteristic, complemented
87C2×#417C2211yescharacteristic, complemented
88C2×#416C2211yescharacteristic, complemented
89C2×#416C2211yescharacteristic, complemented
90C22×#103C2211yescharacteristic, complemented
91C2×#408C2211yescharacteristic, complemented
92C2×#407C2211yescharacteristic
93C22×C22⋊C8C2211yescharacteristic
94#2848C2211yescharacteristic
95#2848C2211yescharacteristic
96#2729—21no—
97#2729—21no—
98#2724—21no—
99#2717—21no—
100#2708—21no—
101#2708—21no—
102#2697—21no—
103#2684—21no—
104#2625C2211yescharacteristic, complemented
105#2625C2211yescharacteristic, complemented
106#2485C2211yescharacteristic
107#2485C2211yescharacteristic, complemented
108#2417C2211yescharacteristic
109#2417C2211yescharacteristic, complemented
110#2415C2211yescharacteristic
111#2415C2211yescharacteristic, complemented
112#2409C2211yescharacteristic
113#2409C2211yescharacteristic, complemented
114#2311C2211yescharacteristic, complemented
115#2058C2211yescharacteristic, complemented
116#2058C2211yescharacteristic, complemented
117#2057C2211yescharacteristic, complemented
118#2057C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2036C2211yescharacteristic
124#2036C2211yescharacteristic
125#2035C2211yescharacteristic
126#2035C2211yescharacteristic
127#2034C2211yescharacteristic
128#2034C2211yescharacteristic
129#2033C2211yescharacteristic
130#2033C2211yescharacteristic
131#2024C2211yescharacteristic, complemented
132#2024C2211yescharacteristic, complemented
133#2024C2211yescharacteristic, complemented
134#2024C2211yescharacteristic, complemented
135#2015C2211yescharacteristic, complemented
136#2015C2211yescharacteristic, complemented
137#2015C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2001C2211yescharacteristic
140#2001C2211yescharacteristic
141#2001C2211yescharacteristic
142#2001C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic
146#2000C2211yescharacteristic
147#1895C2211yescharacteristic
148#1895C2211yescharacteristic
149#1895C2211yescharacteristic, complemented
150#1894C2211yescharacteristic, complemented
151#1894C2211yescharacteristic, complemented
152#1894C2211yescharacteristic, complemented
153#1893C2211yescharacteristic
154#1893C2211yescharacteristic
155#1893C2211yescharacteristic, complemented
156#1892C2211yescharacteristic, complemented
157#1892C2211yescharacteristic, complemented
158#1892C2211yescharacteristic, complemented
159#1878C2211yescharacteristic, complemented
160#1878C2211yescharacteristic, complemented
161#1878C2211yescharacteristic, complemented
162#1878C2211yescharacteristic, complemented
163#1877C2211yescharacteristic, complemented
164#1877C2211yescharacteristic, complemented
165#1877C2211yescharacteristic, complemented
166#1877C2211yescharacteristic, complemented
167#1875C2211yescharacteristic, complemented
168#1874C2211yescharacteristic, complemented
169#1873C2211yescharacteristic, complemented
170#1872C2211yescharacteristic
171#1872C2211yescharacteristic
172#1872C2211yescharacteristic, complemented
173#1872C2211yescharacteristic, complemented
174#1872C2211yescharacteristic, complemented
175#1870C2211yescharacteristic
176#1870C2211yescharacteristic
177#1870C2211yescharacteristic, complemented
178#1870C2211yescharacteristic, complemented
179#1869C2211yescharacteristic
180#1869C2211yescharacteristic
181#1869C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1865C2211yescharacteristic, complemented
184#1865C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1853C2211yescharacteristic
192#1853C2211yescharacteristic, complemented
193#1852C2211yescharacteristic
194#1852C2211yescharacteristic, complemented
195#1824C2211yescharacteristic, complemented
196#1823C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic
202#1786C2211yescharacteristic
203#1736C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205#1729C2211yescharacteristic, complemented
206#1729C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41—21no—
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C22×#41C2311yescharacteristic
212C23×Q8C2311yescharacteristic
213C23×Q8C2311yescharacteristic
214C23×D4—21no—
215C23×D4C2311yescharacteristic
216C24×C4C2311yescharacteristic
217C2×#137—24no—
218C2×#137—42no—
219C2×#137—42no—
220C22×Q16C2311yescharacteristic
221C22×Q16C2311yescharacteristic
222C22×Q16C2311yescharacteristic
223C22×Q16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C2×#131—24no—
229C2×#131—42no—
230C2×#131—42no—
231C22×M16C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C22×M16C2311yescharacteristic
235C23×C8C2311yescharacteristic
236C23×C8C2311yescharacteristic
237C23×C8C2311yescharacteristic
238C23×C8C2311yescharacteristic
239#562—216no—
240#562—216no—
241#554—24no—
242#554—24no—
243#554—24no—
244#554—24no—
245#548—24no—
246#548—24no—
247#548—24no—
248#548—24no—
249#547—24no—
250#547—24no—
251#547—24no—
252#547—24no—
253#546—216no—
254#546—216no—
255#546—24no—
256#546—24no—
257#546—24no—
258#546—24no—
259#543—216no—
260#542—24no—
261#542—24no—
262#542—24no—
263#542—24no—
264#539—216no—
265#538—216no—
266#537—216no—
267#537—24no—
268#537—24no—
269#537D418yes—
270#537D418yes—
271#536—24no—
272#536—24no—
273C2×C4⋊Q8—21no—
274C2×C4⋊Q8C2311yescharacteristic
275C2×C4⋊Q8C2311yescharacteristic
276C2×#126—21no—
277C2×#126—21no—
278C2×#125—21no—
279C2×#125—21no—
280C2×#124—21no—
281C2×#124—21no—
282C2×#124—21no—
283C2×#124—21no—
284C2×#124—21no—
285C2×#124C2311yescharacteristic
286C2×#124C2311yescharacteristic
287#525—24no—
288#525—24no—
289C2×#123—21no—
290C2×#123—21no—
291C2×#123—21no—
292C2×#123—21no—
293C2×#123—21no—
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×#123—21no—
298C2×#123—21no—
299C2×#123D411yescharacteristic
300C2×#123D411yescharacteristic
301C2×C22⋊Q8—21no—
302C2×C22⋊Q8—21no—
303C2×C22⋊Q8—21no—
304C2×C22⋊Q8—21no—
305C2×C22⋊Q8—24no—
306C2×C22⋊Q8—24no—
307C2×C22⋊Q8—21no—
308C2×C22⋊Q8—21no—
309C2×C22⋊Q8—21no—
310C2×C22⋊Q8—21no—
311C2×C22⋊Q8—21no—
312C2×C22⋊Q8—21no—
313C2×C22⋊Q8—21no—
314C2×C22⋊Q8—21no—
315C2×C22⋊Q8—21no—
316C2×C22⋊Q8—21no—
317C2×C22⋊Q8D411yescharacteristic
318C2×C22⋊Q8D411yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×#121—21no—
334C2×#121—21no—
335C2×#121—21no—
336C2×#121—21no—
337C2×#121—21no—
338C2×#121—21no—
339C2×#121—21no—
340C2×#121—21no—
341C2×#121—21no—
342C2×#121—21no—
343C2×#121—24no—
344C2×#121—24no—
345C2×#121—21no—
346C2×#121—21no—
347C2×#121D411yescharacteristic
348C2×#121D411yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#120—21no—
356C2×#120—21no—
357C2×#120D411yescharacteristic
358C2×#120D411yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×D4—21no—
362C2×C4×D4—21no—
363C2×C4×D4—21no—
364C2×C4×D4—21no—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C22×C4⋊C4—21no—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C22⋊C4—21no—
381C22×C22⋊C4—21no—
382C22×C22⋊C4—21no—
383C22×C22⋊C4—21no—
384#485—24no—
385#484—24no—
386#483—24no—
387#482—24no—
388#470—24no—
389#470—24no—
390#470—24no—
391#468—24no—
392#468—24no—
393#468—24no—
394#467—24no—
395#467—24no—
396#467—24no—
397#465—24no—
398#465—24no—
399#465—24no—
400#452—24no—
401#452—24no—
402#451—24no—
403#451—42no—
404#451—42no—
405#450—42no—
406#450—42no—
407#448—24no—
408#428—24no—
409C2×#107C2311yescharacteristic
410C2×#107C2311yescharacteristic
411C2×#107C2311yescharacteristic
412C2×#107C2311yescharacteristic
413C2×#106C2311yescharacteristic
414C2×#106C2311yescharacteristic
415C2×#106C2311yescharacteristic
416C2×#106C2311yescharacteristic
417#417—42no—
418#416—24no—
419#416—42no—
420C2×#103—24no—
421C2×#103C2311yescharacteristic
422C2×#103C2311yescharacteristic
423C2×#103C2311yescharacteristic
424C2×#103C2311yescharacteristic
425C2×#103C2311yescharacteristic
426C2×#103C2311yescharacteristic
427C2×#103C2311yescharacteristic
428C2×#103C2311yescharacteristic
429C2×#103C2311yescharacteristic
430C2×#103C2311yescharacteristic
431C2×#103C2311yescharacteristic
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#103C2311yescharacteristic
441C2×#102C2311yescharacteristic
442C2×#102C2311yescharacteristic
443C2×#102C2311yescharacteristic
444C2×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453#408—24no—
454#407—42no—
455C2×C22⋊C8—42no—
456C2×C22⋊C8C2311yescharacteristic
457C2×C22⋊C8C2311yescharacteristic
458C2×C22⋊C8C2311yescharacteristic
459C2×C22⋊C8C2311yescharacteristic
460C2×C22⋊C8C2311yescharacteristic
461C2×C22⋊C8C2311yescharacteristic
462C2×C22⋊C8C2311yescharacteristic
463C2×C22⋊C8C2311yescharacteristic
464C2×C22⋊C8C2311yescharacteristic
465C2×C22⋊C8C2311yescharacteristic
466C2×C22⋊C8C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468#400—21no—
469#400—21no—
470#398—21no—
471#398—21no—
472#398—21no—
473#398—21no—
474#397—21no—
475#397—21no—
476#397—21no—
477#397—21no—
478#397—21no—
479#397—21no—
480#397—21no—
481#397—21no—
482#396—21no—
483#396—21no—
484#395—21no—
485#395—21no—
486#394—21no—
487#394—21no—
488#394—21no—
489#394—21no—
490#393—21no—
491#393—21no—
492#391—21no—
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#390—21no—
498#389—21no—
499#389—21no—
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#388—21no—
505#388—21no—
506#388—21no—
507#388—21no—
508#387—21no—
509#387—21no—
510#386—21no—
511#386—21no—
512#386—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#385—21no—
517#385—21no—
518#385—21no—
519#385—21no—
520#385—21no—
521#385—21no—
522#385—21no—
523#385—21no—
524#380—21no—
525#380—21no—
526#380C2311yescharacteristic
527#380C2311yescharacteristic
528#380C2311yescharacteristic
529#380C2311yescharacteristic
530#380C2311yescharacteristic
531#380C2311yescharacteristic
532#380C2311yescharacteristic
533#380C2311yescharacteristic
534#379—21no—
535#379—21no—
536#340C2311yescharacteristic
537#340C2311yescharacteristic
538#340C2311yescharacteristic
539#340C2311yescharacteristic
540#340C2311yescharacteristic
541#340C2311yescharacteristic
542#340C2311yescharacteristic
543#340C2311yescharacteristic
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560C25—21no—
561C25C2×D411yescharacteristic
562C2×#41—28no—
563C2×#41—28no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—82no—
579C2×#41—82no—
580C2×#41—82no—
581C2×#41—82no—
582C2×#41C2×D414yes—
583C2×#41C2×D414yes—
584C2×#41C2×D414yes—
585C2×#41C2×D414yes—
586C22×Q8—22no—
587C22×Q8—22no—
588C22×Q8—21no—
589C22×Q8—21no—
590C22×Q8—21no—
591C22×Q8—21no—
592C22×Q8—22no—
593C22×Q8—22no—
594C22×Q8—41no—
595C22×Q8—41no—
596C22×Q8—41no—
597C22×Q8—41no—
598C22×Q8—41no—
599C22×Q8—41no—
600C22×Q8—41no—
601C22×Q8—41no—
602C22×Q8C2×D411yescharacteristic
603C22×Q8C2411yescharacteristic
604C22×Q8C2411yescharacteristic
605C22×Q8C2411yescharacteristic
606C22×Q8C2411yescharacteristic
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—28no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—22no—
617C22×D4—22no—
618C22×D4—21no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—82no—
624C22×D4—82no—
625C22×D4C2×D411yescharacteristic
626C22×D4C2×D411yescharacteristic
627C22×D4C2×D411yescharacteristic
628C22×D4C2×D411yescharacteristic
629C22×D4C2×D411yescharacteristic
630C22×D4C2×D411yescharacteristic
631C22×D4C2×D411yescharacteristic
632C22×D4C2411yescharacteristic
633C22×D4C2411yescharacteristic
634C23×C4—21no—
635C23×C4—21no—
636C23×C4—21no—
637C23×C4—21no—
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—22no—
644C23×C4—22no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—41no—
648C23×C4—41no—
649C23×C4—41no—
650C23×C4—41no—
651C23×C4C2×D411yescharacteristic
652C23×C4C2×D411yescharacteristic
653C23×C4C2×D411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659#137—416no—
660C2×Q16—22no—
661C2×Q16—22no—
662C2×Q16—22no—
663C2×Q16—22no—
664C2×Q16—22no—
665C2×Q16—22no—
666C2×Q16—41no—
667C2×Q16—41no—
668C2×Q16—41no—
669C2×Q16—41no—
670C2×Q16—41no—
671C2×Q16—41no—
672C2×SD16—22no—
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—41no—
679C2×SD16—41no—
680C2×SD16—41no—
681C2×SD16—41no—
682C2×SD16—41no—
683C2×SD16—41no—
684#131—416no—
685C2×M16—22no—
686C2×M16—22no—
687C2×M16—22no—
688C2×M16—22no—
689C2×M16—22no—
690C2×M16—22no—
691C2×M16—22no—
692C2×M16—22no—
693C2×M16—41no—
694C2×M16—41no—
695C2×M16—41no—
696C2×M16—41no—
697C22×C8—22no—
698C22×C8—22no—
699C22×C8—22no—
700C22×C8—22no—
701C22×C8—22no—
702C22×C8—22no—
703C22×C8—41no—
704C22×C8—41no—
705C22×C8—41no—
706C22×C8—41no—
707C22×C8—41no—
708C22×C8—41no—
709C22×C8C2411yescharacteristic
710C22×C8C2411yescharacteristic
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C4⋊Q8—22no—
718C4⋊Q8—22no—
719C4⋊Q8—22no—
720C4⋊Q8—22no—
721C4⋊Q8—44no—
722#126—28no—
723#126—28no—
724#125—28no—
725#125—28no—
726#124—28no—
727#124—28no—
728#124—28no—
729#124—28no—
730#124—22no—
731#124—22no—
732#124—22no—
733#124—22no—
734#124—44no—
735#123—28no—
736#123—28no—
737#123—28no—
738#123—28no—
739#123—28no—
740#123—28no—
741#123—28no—
742#123—28no—
743#123—24no—
744#123—24no—
745#123—44no—
746#123—44no—
747C22⋊Q8—28no—
748C22⋊Q8—28no—
749C22⋊Q8—28no—
750C22⋊Q8—28no—
751C22⋊Q8—28no—
752C22⋊Q8—28no—
753C22⋊Q8—28no—
754C22⋊Q8—28no—
755C22⋊Q8—28no—
756C22⋊Q8—28no—
757C22⋊Q8—28no—
758C22⋊Q8—28no—
759C22⋊Q8—28no—
760C22⋊Q8—28no—
761C22⋊Q8—24no—
762C22⋊Q8—24no—
763C22⋊Q8—22no—
764C22⋊Q8—22no—
765C22⋊Q8—22no—
766C22⋊Q8—22no—
767C22⋊Q8—22no—
768C22⋊Q8—22no—
769C22⋊Q8—22no—
770C22⋊Q8—22no—
771C22⋊Q8—22no—
772C22⋊Q8—22no—
773C22⋊Q8—22no—
774C22⋊Q8—22no—
775C22⋊Q8—22no—
776C22⋊Q8—22no—
777C22⋊Q8—22no—
778C22⋊Q8—22no—
779C22⋊Q8—41no—
780C22⋊Q8—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8C2×D414yes—
788C22⋊Q8C2×D414yes—
789C22⋊Q8C2×D414yes—
790C22⋊Q8C2×D414yes—
791#121—28no—
792#121—28no—
793#121—28no—
794#121—28no—
795#121—28no—
796#121—28no—
797#121—28no—
798#121—28no—
799#121—28no—
800#121—28no—
801#121—28no—
802#121—28no—
803#121—24no—
804#121—24no—
805#121—22no—
806#121—22no—
807#121—22no—
808#121—22no—
809#121—22no—
810#121—22no—
811#121—22no—
812#121—22no—
813#121C2×D414yes—
814#121C2×D414yes—
815#121C2×D414yes—
816#121C2×D414yes—
817#120—28no—
818#120—28no—
819#120—24no—
820#120—24no—
821C4×Q8—22no—
822C4×Q8—22no—
823C4×Q8—22no—
824C4×Q8—22no—
825C4×D4—28no—
826C4×D4—28no—
827C4×D4—28no—
828C4×D4—28no—
829C4×D4—22no—
830C4×D4—22no—
831C4×D4—22no—
832C4×D4—22no—
833C4×D4—22no—
834C4×D4—22no—
835C4×D4—22no—
836C4×D4—22no—
837C4×D4—22no—
838C4×D4—22no—
839C4×D4—22no—
840C4×D4—22no—
841#117—22no—
842#117—22no—
843#117—22no—
844#117—22no—
845#117—41no—
846#117—41no—
847C2×C4⋊C4—28no—
848C2×C4⋊C4—21no—
849C2×C4⋊C4—21no—
850C2×C4⋊C4—21no—
851C2×C4⋊C4—21no—
852C2×C4⋊C4—21no—
853C2×C4⋊C4—21no—
854C2×C4⋊C4—21no—
855C2×C4⋊C4—21no—
856C2×C4⋊C4—22no—
857C2×C4⋊C4—22no—
858C2×C4⋊C4—21no—
859C2×C4⋊C4—21no—
860C2×C4⋊C4—21no—
861C2×C4⋊C4—21no—
862C2×C4⋊C4—21no—
863C2×C4⋊C4—21no—
864C2×C4⋊C4—22no—
865C2×C4⋊C4—22no—
866C2×C4⋊C4—22no—
867C2×C4⋊C4—22no—
868C2×C4⋊C4—21no—
869C2×C4⋊C4—21no—
870C2×C4⋊C4—21no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—41no—
882C2×C4⋊C4—41no—
883C2×C4⋊C4C2×D411yescharacteristic
884C2×C4⋊C4C2×D411yescharacteristic
885C2×C4⋊C4C2×D411yescharacteristic
886C2×C4⋊C4C2×D411yescharacteristic
887C2×C4⋊C4C2×D411yescharacteristic
888C2×C4⋊C4C2×D411yescharacteristic
889C2×C4⋊C4C2×D414yes—
890C2×C4⋊C4C2×D414yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C22⋊C4—28no—
902C2×C22⋊C4—28no—
903C2×C22⋊C4—28no—
904C2×C22⋊C4—28no—
905C2×C22⋊C4—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4C2×D411yescharacteristic
942C2×C22⋊C4C2×D411yescharacteristic
943C2×C22⋊C4C2×D411yescharacteristic
944C2×C22⋊C4C2×D411yescharacteristic
945C2×C22⋊C4C2×D411yescharacteristic
946C2×C22⋊C4C2×D411yescharacteristic
947C2×C22⋊C4C2×D411yescharacteristic
948C2×C22⋊C4C2×D411yescharacteristic
949C2×C22⋊C4C2×D411yescharacteristic
950C2×C22⋊C4C2×D411yescharacteristic
951C2×C42—21no—
952C2×C42—21no—
953C2×C42—21no—
954C2×C42—21no—
955C2×C42C2411yescharacteristic
956C2×C42C2411yescharacteristic
957#107—22no—
958#107—22no—
959#107—22no—
960#107—22no—
961#106—22no—
962#106—22no—
963#106—22no—
964#106—22no—
965#103—22no—
966#103—22no—
967#103—22no—
968#103—22no—
969#103—22no—
970#103—22no—
971#103—22no—
972#103—22no—
973#103—22no—
974#103—22no—
975#103—22no—
976#103—22no—
977#103—22no—
978#103—22no—
979#103—41no—
980#103—41no—
981#103—41no—
982#103—41no—
983#103—41no—
984#103—41no—
985#102—22no—
986#102—22no—
987#102—22no—
988#102—22no—
989#102—22no—
990#102—22no—
991#102—41no—
992#102—41no—
993#102—41no—
994#102—41no—
995#102—41no—
996#102—41no—
997C22⋊C8—22no—
998C22⋊C8—22no—
999C22⋊C8—22no—
1000C22⋊C8—22no—
1001C22⋊C8—22no—
1002C22⋊C8—22no—
1003C22⋊C8—22no—
1004C22⋊C8—22no—
1005C22⋊C8—41no—
1006C22⋊C8—41no—
1007C22⋊C8—41no—
1008C22⋊C8—41no—
1009#95—21no—
1010#95—21no—
1011#95—21no—
1012#95—21no—
1013#95—21no—
1014#95—21no—
1015#95—21no—
1016#95—21no—
1017#95—21no—
1018#95—21no—
1019#95—21no—
1020#95—21no—
1021#95—21no—
1022#95—21no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029C24—24no—
1030C24—21no—
1031C24—21no—
1032C24—22no—
1033C24—22no—
1034C24—22no—
1035C24—41no—
1036C24—41no—
1037C24—41no—
1038C24—41no—
1039C24—42no—
1040C24—42no—
1041C24—81no—
1042C24—81no—
1043C24—81no—
1044C24—81no—
1045C24C22×D411yescharacteristic
1046C24C22×D411yescharacteristic
1047C24C22×D411yescharacteristic
1048C24C22×D411yescharacteristic
1049C24C22×D411yescharacteristic
1050#41—44no—
1051#41—44no—
1052#41—44no—
1053#41—44no—
1054#41—44no—
1055#41—44no—
1056#41—44no—
1057#41—44no—
1058#41—82no—
1059#41—82no—
1060#41—82no—
1061#41—82no—
1062#41—816no—
1063#41—816no—
1064C2×Q8—24no—
1065C2×Q8—24no—
1066C2×Q8—24no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—44no—
1092C2×Q8—44no—
1093C2×Q8—42no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8—81no—
1097C2×Q8—81no—
1098C2×Q8—81no—
1099C2×Q8—81no—
1100C2×Q8—81no—
1101C2×Q8—81no—
1102C2×Q8—82no—
1103C2×Q8—82no—
1104C2×Q8—82no—
1105C2×Q8—82no—
1106C2×Q8—82no—
1107C2×Q8—82no—
1108C2×Q8#12014yes—
1109C2×Q8C22×D412yes—
1110C2×Q8C22×D412yes—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—21no—
1129C2×D4—21no—
1130C2×D4—21no—
1131C2×D4—21no—
1132C2×D4—21no—
1133C2×D4—21no—
1134C2×D4—21no—
1135C2×D4—21no—
1136C2×D4—21no—
1137C2×D4—21no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—82no—
1155C2×D4—82no—
1156C2×D4—82no—
1157C2×D4—82no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—816no—
1171C2×D4#12014yes—
1172C2×D4#12014yes—
1173C2×D4#12014yes—
1174C2×D4C22×D412yes—
1175C2×D4C22×D412yes—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—24no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—82no—
1236C22×C4—82no—
1237C22×C4—82no—
1238C22×C4—82no—
1239C22×C4—81no—
1240C22×C4—81no—
1241C22×C4—81no—
1242C22×C4—81no—
1243C22×C4—81no—
1244C22×C4—81no—
1245C22×C4—81no—
1246C22×C4—81no—
1247C22×C4—81no—
1248C22×C4—81no—
1249C22×C4—81no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4—81no—
1253C22×C4—81no—
1254C22×C4—81no—
1255C22×C4—81no—
1256C22×C4—81no—
1257C22×C4—81no—
1258C22×C4—81no—
1259C22×C4—81no—
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D411yescharacteristic
1262C22×C4C22×D411yescharacteristic
1263C22×C4C22×D411yescharacteristic
1264C22×C4C22×D411yescharacteristic
1265C22×C4C22×D411yescharacteristic
1266C22×C4C22×D411yescharacteristic
1267C22×C4C22×D411yescharacteristic
1268C22×C4C22×D411yescharacteristic
1269C22×C4C22×D412yes—
1270C22×C4C22×D412yes—
1271C22×C4C22×D412yes—
1272C22×C4C22×D412yes—
1273C22×C4C22×D412yes—
1274C22×C4C22×D412yes—
1275C22×C4C2511yescharacteristic
1276Q16—44no—
1277Q16—44no—
1278Q16—82no—
1279Q16—82no—
1280SD16—44no—
1281SD16—44no—
1282SD16—82no—
1283SD16—82no—
1284M16—28no—
1285M16—44no—
1286M16—44no—
1287M16—82no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—44no—
1311C2×C8—44no—
1312C2×C8—44no—
1313C2×C8—82no—
1314C2×C8H(5,𝔽2)12yes—
1315C2×C8H(5,𝔽2)12yes—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—81no—
1357C4⋊C4—81no—
1358C4⋊C4—81no—
1359C4⋊C4—81no—
1360C4⋊C4—81no—
1361C4⋊C4—81no—
1362C4⋊C4—81no—
1363C4⋊C4—81no—
1364C4⋊C4—81no—
1365C4⋊C4C22×D412yes—
1366C4⋊C4C22×D412yes—
1367C4⋊C4C22×D412yes—
1368C4⋊C4C22×D412yes—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—81no—
1405C22⋊C4—81no—
1406C22⋊C4—81no—
1407C22⋊C4—81no—
1408C22⋊C4—81no—
1409C22⋊C4—81no—
1410C22⋊C4—81no—
1411C22⋊C4—81no—
1412C22⋊C4—81no—
1413C22⋊C4—81no—
1414C22⋊C4—81no—
1415C42—24no—
1416C42—24no—
1417C42—21no—
1418C42—21no—
1419C42—21no—
1420C42—21no—
1421C42—42no—
1422C42—81no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—22no—
1454C23—22no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—48no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—82no—
1472C23—82no—
1473C23—82no—
1474C23—82no—
1475C23—84no—
1476C23—84no—
1477C23—162no—
1478C23—162no—
1479C23—162no—
1480C23—162no—
1481C23C2×#12012yes—
1482C23C2×#12012yes—
1483C23C2×#12012yes—
1484C23#57712yes—
1485C23#57812yes—
1486C23C23×D411yescharacteristic
1487Q8—22no—
1488Q8—22no—
1489Q8—22no—
1490Q8—22no—
1491Q8—44no—
1492Q8—41no—
1493Q8—41no—
1494Q8—41no—
1495Q8—41no—
1496Q8—41no—
1497Q8—41no—
1498Q8—41no—
1499Q8—41no—
1500Q8—41no—
1501Q8—41no—
1502Q8—41no—
1503Q8—41no—
1504Q8—84no—
1505Q8—84no—
1506Q8—84no—
1507Q8—84no—
1508D4—22no—
1509D4—22no—
1510D4—22no—
1511D4—22no—
1512D4—44no—
1513D4—44no—
1514D4—44no—
1515D4—44no—
1516D4—44no—
1517D4—44no—
1518D4—44no—
1519D4—48no—
1520D4—48no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—41no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—48no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—82no—
1620C2×C4—82no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4—82no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—162no—
1632C2×C4C2×#12012yes—
1633C2×C4C2×#12012yes—
1634C2×C4C2×#12012yes—
1635C2×C4C23×D411yescharacteristic
1636C2×C4C23×D411yescharacteristic
1637C2×C4C2×H(5,𝔽2)11yescharacteristic
1638C2×C4C2×H(5,𝔽2)11yescharacteristic
1639C2×C4#58511yescharacteristic
1640C2×C4#58511yescharacteristic
1641C8—22no—
1642C8—22no—
1643C8—41no—
1644C8—41no—
1645C8—41no—
1646C8—41no—
1647C8—41no—
1648C8—41no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—88no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—168no—
1700C22C22×#12011yescharacteristic
1701C22#349611yescharacteristic
1702C22#349611yescharacteristic
1703C22C2×#57711yescharacteristic
1704C22C2×#57811yescharacteristic
1705C22#358511yescharacteristic
1706C22#358611yescharacteristic
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—41no—
1711C4—41no—
1712C4—42no—
1713C4—42no—
1714C4—41no—
1715C4—41no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—41no—
1721C4—41no—
1722C4—81no—
1723C4—81no—
1724C4—81no—
1725C4—81no—
1726C4—81no—
1727C4—81no—
1728C4—81no—
1729C4—81no—
1730C4#348411yescharacteristic
1731C4#348511yescharacteristic
1732C4#349611yescharacteristic
1733C4#349611yescharacteristic
1734C2—42no—
1735C2—42no—
1736C2—42no—
1737C2—42no—
1738C2—42no—
1739C2—82no—
1740C2—82no—
1741C2#3534711yescharacteristic
1742C2#6037311yescharacteristic
1743C2#6037511yescharacteristic
1744C2#6228111yescharacteristic
1745C2#6229411yescharacteristic
1746C2#6231211yescharacteristic
1747C2#6232111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3536C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#3201C2semidirect
3. C2×#3063C2semidirect
4. #37374C2semidirect
5. #25561C2semidirect
6. #25547C2semidirect
7. #25545C2semidirect
8. #25531C2semidirect
9. #25514C2semidirect
10. #25514C2semidirect
11. #25509C2semidirect
12. #25509C2semidirect
13. #24452C2semidirect
14. #24449C2semidirect
15. #24436C2semidirect
16. #24433C2semidirect
17. #24386C2semidirect
18. #24385C2semidirect
19. #24380C2semidirect
20. #24379C2semidirect
21. #24109C2semidirect
22. #24100C2semidirect
23. #24040C2semidirect
24. #24037C2semidirect
25. #23970C2semidirect
26. #23961C2semidirect
27. #23867C2semidirect
28. #23862C2semidirect
29. #21772C2semidirect
30. #20976C2semidirect
31. #20899C2semidirect
32. C22×#137C22semidirect
33. C22×#131C22semidirect
56. C2×#536C22semidirect
61. C2×#484C22semidirect
62. C2×#485C22semidirect
63. C2×#482C22semidirect
64. C2×#483C22semidirect
66. C2×#470C22semidirect
67. C2×#470C22semidirect
68. C2×#470C22semidirect
71. C2×#468C22semidirect
72. C2×#467C22semidirect
73. C2×#467C22semidirect
74. C2×#467C22semidirect
77. C2×#465C22semidirect
78. C2×#452C22semidirect
79. C2×#452C22semidirect
80. C2×#451C22semidirect
81. C2×#451C22semidirect
82. C2×#451C22semidirect
83. C2×#448C22semidirect
86. C2×#428C22semidirect
87. C2×#417C22semidirect
88. C2×#416C22semidirect
89. C2×#416C22semidirect
90. C22×#103C22semidirect
91. C2×#408C22semidirect
104. #2625C22semidirect
105. #2625C22semidirect
107. #2485C22semidirect
109. #2417C22semidirect
111. #2415C22semidirect
113. #2409C22semidirect
114. #2311C22semidirect
115. #2058C22semidirect
116. #2058C22semidirect
117. #2057C22semidirect
118. #2057C22semidirect
119. #2042C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
131. #2024C22semidirect
132. #2024C22semidirect
133. #2024C22semidirect
134. #2024C22semidirect
135. #2015C22semidirect
136. #2015C22semidirect
137. #2015C22semidirect
138. #2015C22semidirect
149. #1895C22semidirect
150. #1894C22semidirect
151. #1894C22semidirect
152. #1894C22semidirect
155. #1893C22semidirect
156. #1892C22semidirect
157. #1892C22semidirect
158. #1892C22semidirect
159. #1878C22semidirect
160. #1878C22semidirect
161. #1878C22semidirect
162. #1878C22semidirect
163. #1877C22semidirect
164. #1877C22semidirect
165. #1877C22semidirect
166. #1877C22semidirect
167. #1875C22semidirect
168. #1874C22semidirect
169. #1873C22semidirect
172. #1872C22semidirect
173. #1872C22semidirect
174. #1872C22semidirect
177. #1870C22semidirect
178. #1870C22semidirect
181. #1869C22semidirect
182. #1869C22semidirect
183. #1865C22semidirect
184. #1865C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1863C22semidirect
188. #1863C22semidirect
189. #1862C22semidirect
190. #1862C22semidirect
192. #1853C22semidirect
194. #1852C22semidirect
195. #1824C22semidirect
196. #1823C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect
203. #1736C22semidirect
204. C2×#340C22semidirect
205. #1729C22semidirect
206. #1729C22semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#35362
C2×#32012
C2×#30632
#373742
#255612
#255472
#255452
#255312
#255142
#255092
#244522
#244492
#244362
#244332
#243862
#243852
#243802
#243792
#241092
#241002
#240402
#240372
#239702
#239612
#238672
#238622
#217722
#209762
#208992