Finite Group Databasebeta

← #6533611

Subgroups — #6533611

Order 512.

3502 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3558C211yesmaximal, characteristic, complemented
2C2×#3277C211yesmaximal, characteristic, complemented
3C2×#3265C211yesmaximal, characteristic, complemented
4#38035C211yesmaximal, characteristic, complemented
5#29677C211yesmaximal, characteristic, complemented
6#29630C211yesmaximal, characteristic, complemented
7#29626C211yesmaximal, characteristic, complemented
8#25736C211yesmaximal, characteristic, complemented
9#25639C211yesmaximal, characteristic, complemented
10#25635C211yesmaximal, characteristic, complemented
11#25510C211yesmaximal, characteristic, complemented
12#25501C211yesmaximal, characteristic, complemented
13#24450C211yesmaximal, characteristic, complemented
14#24448C211yesmaximal, characteristic, complemented
15#24447C211yesmaximal, characteristic, complemented
16#24428C211yesmaximal, characteristic, complemented
17#24220C211yesmaximal, characteristic, complemented
18#24206C211yesmaximal, characteristic, complemented
19#24190C211yesmaximal, characteristic, complemented
20#23946C211yesmaximal, characteristic, complemented
21#23932C211yesmaximal, characteristic, complemented
22#23871C211yesmaximal, characteristic, complemented
23#23862C211yesmaximal, characteristic, complemented
24#23860C211yesmaximal, characteristic, complemented
25#23852C211yesmaximal, characteristic, complemented
26#23585C211yesmaximal, characteristic, complemented
27#23431C211yesmaximal, characteristic, complemented
28#23423C211yesmaximal, characteristic, complemented
29#22472C211yesmaximal, characteristic, complemented
30#22428C211yesmaximal, characteristic, complemented
31#22426C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×#137C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C23×SD16C2211yescharacteristic, complemented
36#3558—28no—
37#3558—28no—
38C2×#562—21no—
39C2×H(3,𝔽4)—21no—
40C2×#559C2211yescharacteristic
41C2×#559C2211yescharacteristic
42C2×#548C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#548C2211yescharacteristic, complemented
45C2×#546—21no—
46C2×#546—21no—
47C2×#546C2211yescharacteristic
48C2×#546C2211yescharacteristic
49C2×D42C2211yescharacteristic
50C2×D42C2211yescharacteristic
51C2×#542C2211yescharacteristic
52C2×#542C2211yescharacteristic
53C2×#538—21no—
54C2×#538—21no—
55C2×#538—21no—
56C2×#535C2211yescharacteristic
57C2×#535C2211yescharacteristic
58C2×#534—21no—
59C2×#532C2211yescharacteristic
60C2×#529C2211yescharacteristic
61C22×#124C2211yescharacteristic
62#3277—28no—
63#3265—28no—
64C2×#496C2211yescharacteristic
65C2×#495C2211yescharacteristic, complemented
66C2×#468C2211yescharacteristic, complemented
67C2×#468C2211yescharacteristic, complemented
68C2×#468C2211yescharacteristic, complemented
69C2×#466C2211yescharacteristic
70C2×#464C2211yescharacteristic, complemented
71C2×#464C2211yescharacteristic, complemented
72C2×#460C2211yescharacteristic
73C2×#463C2211yescharacteristic, complemented
74C2×#452C2211yescharacteristic, complemented
75C2×#452C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#451C2211yescharacteristic, complemented
81C2×#451C2211yescharacteristic, complemented
82C2×#448C2211yescharacteristic
83C2×#450C2211yescharacteristic
84C2×#450C2211yescharacteristic, complemented
85C2×#450C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic, complemented
87C2×#447C2211yescharacteristic, complemented
88C2×#440C2211yescharacteristic, complemented
89C2×C4×Q16C2211yescharacteristic, complemented
90C2×#436C2211yescharacteristic, complemented
91C2×#435C2211yescharacteristic, complemented
92C2×#419C2211yescharacteristic, complemented
93C2×#418C2211yescharacteristic
94C2×#418C2211yescharacteristic, complemented
95C2×#416C2211yescharacteristic, complemented
96#2855C2211yescharacteristic, complemented
97#2710—21no—
98#2701—21no—
99#2700—21no—
100#2699—21no—
101#2624C2211yescharacteristic, complemented
102#2620C2211yescharacteristic, complemented
103#2592C2211yescharacteristic, complemented
104#2582C2211yescharacteristic, complemented
105#2560—21no—
106#2556—21no—
107#2466—21no—
108#2459—21no—
109#2415C2211yescharacteristic, complemented
110#2414C2211yescharacteristic, complemented
111#2409C2211yescharacteristic, complemented
112#2407C2211yescharacteristic, complemented
113#2354C2211yescharacteristic, complemented
114#2323C2211yescharacteristic, complemented
115#2310C2211yescharacteristic, complemented
116#2297C2211yescharacteristic, complemented
117#2057C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2041C2211yescharacteristic
124#2041C2211yescharacteristic, complemented
125#2036C2211yescharacteristic, complemented
126#2033C2211yescharacteristic
127#2024C2211yescharacteristic, complemented
128#2024C2211yescharacteristic, complemented
129#2023C2211yescharacteristic, complemented
130#2015C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2015C2211yescharacteristic, complemented
133#2015C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2015C2211yescharacteristic, complemented
136#2015C2211yescharacteristic, complemented
137#2015C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2014C2211yescharacteristic
141#2014C2211yescharacteristic
142#2014C2211yescharacteristic, complemented
143#2014C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2012C2211yescharacteristic, complemented
149#2011C2211yescharacteristic
150#2011C2211yescharacteristic, complemented
151#2001C2211yescharacteristic, complemented
152#2001C2211yescharacteristic, complemented
153#2000C2211yescharacteristic
154#2000C2211yescharacteristic
155#2000C2211yescharacteristic, complemented
156#1999C2211yescharacteristic
157#1985C2211yescharacteristic, complemented
158#1984C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1982C2211yescharacteristic
161#1959C2211yescharacteristic, complemented
162#1957C2211yescharacteristic
163#1895C2211yescharacteristic
164#1895C2211yescharacteristic, complemented
165#1895C2211yescharacteristic, complemented
166#1892C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1878C2211yescharacteristic, complemented
172#1878C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic
180#1875C2211yescharacteristic, complemented
181#1875C2211yescharacteristic, complemented
182#1873C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1818C2211yescharacteristic, complemented
192#1817C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1763C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205#1729C2211yescharacteristic, complemented
206#1728C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×Q8C2311yescharacteristic
213C23×D4—21no—
214C23×D4—21no—
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C2×#137—24no—
219C2×#137—24no—
220C2×#137—42no—
221C2×#137—42no—
222C2×#137—42no—
223C2×#137—42no—
224C2×AGL(1,ℤ/8)—24no—
225C2×AGL(1,ℤ/8)—42no—
226C2×AGL(1,ℤ/8)—42no—
227C22×Q16C2311yescharacteristic
228C22×Q16C2311yescharacteristic
229C22×Q16C2311yescharacteristic
230C22×Q16C2311yescharacteristic
231C22×SD16—24no—
232C22×SD16—42no—
233C22×SD16—42no—
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C23×C8C2311yescharacteristic
252#562—216no—
253H(3,𝔽4)—216no—
254#559—24no—
255#559—24no—
256#559—24no—
257#559—24no—
258#548—24no—
259#548—24no—
260#548—24no—
261#548—24no—
262#548—24no—
263#548D418yescomplemented
264#546—216no—
265#546—216no—
266#546—24no—
267#546—24no—
268#546—24no—
269#546—24no—
270D42—24no—
271D42—24no—
272D42—24no—
273D42D418yescomplemented
274#542—24no—
275#542—24no—
276#542—24no—
277#542—24no—
278#538—216no—
279#538—216no—
280#538—216no—
281#535—24no—
282#535—24no—
283#535—24no—
284#535—24no—
285#534—216no—
286#532—24no—
287#532—24no—
288C2×C4⋊Q8C2311yescharacteristic
289C2×#127C2311yescharacteristic
290C2×#127C2311yescharacteristic
291C2×#127C2311yescharacteristic
292#529—24no—
293#529—24no—
294C2×#126—21no—
295C2×#126—21no—
296C2×#126D411yescharacteristic
297C2×#126D411yescharacteristic
298C2×#125D411yescharacteristic
299C2×#124—24no—
300C2×#124—21no—
301C2×#124—21no—
302C2×#124—24no—
303C2×#124—21no—
304C2×#124—21no—
305C2×#124—21no—
306C2×#124—21no—
307C2×#124—21no—
308C2×#124—21no—
309C2×#124—21no—
310C2×#124—21no—
311C2×#124D411yescharacteristic
312C2×#124C2311yescharacteristic
313C2×#124C2311yescharacteristic
314C2×#124C2311yescharacteristic
315C2×#124C2311yescharacteristic
316C2×#124C2311yescharacteristic
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
319C2×#123—21no—
320C2×#123—21no—
321C2×#123—21no—
322C2×#123—21no—
323C2×#123—21no—
324C2×#123—21no—
325C2×#123—21no—
326C2×#123—21no—
327C2×#123D411yescharacteristic
328C2×#123D411yescharacteristic
329C2×C22⋊Q8—21no—
330C2×C22⋊Q8—21no—
331C2×C22⋊Q8—21no—
332C2×C22⋊Q8—21no—
333C2×C22⋊Q8—21no—
334C2×C22⋊Q8D411yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×#121—21no—
341C2×#121—21no—
342C2×#121—21no—
343C2×#121—21no—
344C2×#121—21no—
345C2×#121—21no—
346C2×#121—21no—
347C2×#121—21no—
348C2×#121—21no—
349C2×#121—21no—
350C2×#121—21no—
351C2×#121—21no—
352C2×#121D411yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#120—21no—
360C2×#120—21no—
361C2×#120—21no—
362C2×#120—21no—
363C2×#120—21no—
364C2×#120—21no—
365C2×#120—21no—
366C2×#120—21no—
367C2×#120—21no—
368C2×#120—21no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×D4—21no—
374C2×C4×D4—21no—
375C2×C4×D4—21no—
376C2×C4×D4—21no—
377C2×C4×D4—21no—
378C2×C4×D4—21no—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C22×C22⋊C4—21no—
391C22×C22⋊C4—21no—
392C22×C22⋊C4—21no—
393C22×C22⋊C4—21no—
394C22×C42C2311yescharacteristic
395#496—24no—
396#495—24no—
397#468—24no—
398#468—24no—
399#468—24no—
400#466—24no—
401#464—24no—
402#464—24no—
403#463—24no—
404#460—24no—
405#452—42no—
406#452—42no—
407#451—24no—
408#451—24no—
409#450—24no—
410#450—42no—
411#450—42no—
412#449—24no—
413#449—24no—
414#449—24no—
415#449—42no—
416#448—24no—
417#447—24no—
418#447—42no—
419#440—24no—
420C4×Q16—24no—
421#436—24no—
422#435—24no—
423C2×#107C2311yescharacteristic
424C2×#107C2311yescharacteristic
425C2×C4⋊C8C2311yescharacteristic
426C2×C4⋊C8C2311yescharacteristic
427#419—42no—
428#418—42no—
429#418—42no—
430#416—42no—
431C2×#103C2311yescharacteristic
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#103C2311yescharacteristic
441C2×#103C2311yescharacteristic
442C2×#103C2311yescharacteristic
443C2×#103C2311yescharacteristic
444C2×#103C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×#102C2311yescharacteristic
463C2×#102C2311yescharacteristic
464C2×#102C2311yescharacteristic
465C2×#102C2311yescharacteristic
466C2×#102C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
470C2×C22⋊C8C2311yescharacteristic
471C2×C22⋊C8C2311yescharacteristic
472C2×C22⋊C8C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475C2×#97C2311yescharacteristic
476C2×C4×C8C2311yescharacteristic
477#399—21no—
478#398—21no—
479#398—21no—
480#397—21no—
481#397—21no—
482#397—21no—
483#396—21no—
484#396—21no—
485#395—21no—
486#394—21no—
487#394—21no—
488#394—21no—
489#394—21no—
490#394—21no—
491#394—21no—
492#394—21no—
493#393—21no—
494#393—21no—
495#392—21no—
496#392—21no—
497#391—21no—
498#391—21no—
499#391—21no—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#390—21no—
507#390—21no—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#389—21no—
512#389—21no—
513#389—21no—
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#388—21no—
518#388—21no—
519#388—21no—
520#388—21no—
521#388—21no—
522#388—21no—
523#388—21no—
524#388—21no—
525#387—21no—
526#387—21no—
527#387—21no—
528#386—21no—
529#386—21no—
530#386—21no—
531#386—21no—
532#385—21no—
533#385—21no—
534#385—21no—
535#384C2311yescharacteristic
536#381—21no—
537#381—21no—
538#381—21no—
539#380C2311yescharacteristic
540#380C2311yescharacteristic
541#380C2311yescharacteristic
542C4×C4⋊C4—21no—
543C4×C4⋊C4C2311yescharacteristic
544C4×C22⋊C4—21no—
545C4×C22⋊C4—21no—
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564#336C2311yescharacteristic
565#336C2311yescharacteristic
566C25—21no—
567C25—21no—
568C25—21no—
569C2×#41—28no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—82no—
588C2×#41—82no—
589C2×#41C2×D414yes—
590C22×Q8—21no—
591C22×Q8—21no—
592C22×Q8—22no—
593C22×Q8—21no—
594C22×Q8—22no—
595C22×Q8—22no—
596C22×Q8—22no—
597C22×Q8—41no—
598C22×Q8—41no—
599C22×Q8—41no—
600C22×Q8—41no—
601C22×Q8—41no—
602C22×Q8—41no—
603C22×Q8—41no—
604C22×Q8C2×D414yes—
605C22×Q8C2×D411yescharacteristic
606C22×Q8C2411yescharacteristic
607C22×Q8C2411yescharacteristic
608C22×Q8C2411yescharacteristic
609C22×Q8C2411yescharacteristic
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—28no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—28no—
618C22×D4—22no—
619C22×D4—22no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—21no—
627C22×D4—21no—
628C22×D4—21no—
629C22×D4—21no—
630C22×D4—21no—
631C22×D4—21no—
632C22×D4—22no—
633C22×D4—22no—
634C22×D4—41no—
635C22×D4—41no—
636C22×D4—41no—
637C22×D4—41no—
638C22×D4—41no—
639C22×D4—41no—
640C22×D4—41no—
641C22×D4—41no—
642C22×D4—41no—
643C22×D4—41no—
644C22×D4—41no—
645C22×D4—41no—
646C22×D4—82no—
647C22×D4—82no—
648C22×D4—82no—
649C22×D4—82no—
650C22×D4C2×D411yescharacteristic
651C22×D4C2×D411yescharacteristic
652C22×D4C2×D414yes—
653C22×D4C2×D414yes—
654C22×D4C2×D411yescharacteristic
655C22×D4C2411yescharacteristic
656C22×D4C2411yescharacteristic
657C22×D4C2411yescharacteristic
658C22×D4C2411yescharacteristic
659C22×D4C2411yescharacteristic
660C23×C4—21no—
661C23×C4—21no—
662C23×C4—21no—
663C23×C4—21no—
664C23×C4—21no—
665C23×C4—21no—
666C23×C4—21no—
667C23×C4—21no—
668C23×C4—21no—
669C23×C4C2×D411yescharacteristic
670C23×C4C2×D411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674#137—416no—
675#137—416no—
676AGL(1,ℤ/8)—416no—
677C2×Q16—22no—
678C2×Q16—22no—
679C2×Q16—22no—
680C2×Q16—22no—
681C2×Q16—22no—
682C2×Q16—22no—
683C2×Q16—22no—
684C2×Q16—41no—
685C2×Q16—41no—
686C2×Q16—41no—
687C2×Q16—41no—
688C2×Q16—41no—
689C2×SD16—22no—
690C2×SD16—22no—
691C2×SD16—22no—
692C2×SD16—22no—
693C2×SD16—22no—
694C2×SD16—22no—
695C2×SD16—22no—
696C2×SD16—22no—
697C2×SD16—22no—
698C2×SD16—22no—
699C2×SD16—22no—
700C2×SD16—22no—
701C2×SD16—22no—
702C2×SD16—22no—
703C2×SD16—22no—
704C2×SD16—22no—
705C2×SD16—22no—
706C2×SD16—22no—
707C2×SD16—41no—
708C2×SD16—41no—
709C2×SD16—41no—
710C2×SD16—41no—
711C2×SD16—41no—
712C2×SD16—41no—
713C2×SD16—41no—
714C2×SD16—41no—
715C2×SD16—41no—
716C2×SD16—41no—
717C2×SD16—41no—
718C2×SD16—41no—
719C2×SD16—416no—
720C2×D8—22no—
721C2×D8—22no—
722C2×D8—22no—
723C2×D8—22no—
724C2×D8—22no—
725C2×D8—41no—
726C2×D8—41no—
727C2×D8—41no—
728C2×D8—41no—
729C2×D8—41no—
730C2×D8—41no—
731C2×D8—41no—
732C2×M16—22no—
733C2×M16—22no—
734C2×M16—22no—
735C2×M16—22no—
736C2×M16—22no—
737C2×M16—22no—
738C2×M16—41no—
739C2×M16—41no—
740C2×M16—41no—
741C22×C8—22no—
742C22×C8—22no—
743C22×C8—41no—
744C22×C8C2411yescharacteristic
745C22×C8C2411yescharacteristic
746C22×C8C2411yescharacteristic
747C22×C8C2411yescharacteristic
748C22×C8C2411yescharacteristic
749C22×C8C2411yescharacteristic
750C22×C8C2411yescharacteristic
751C22×C8C2411yescharacteristic
752C4⋊Q8—22no—
753C4⋊Q8—22no—
754#127—22no—
755#127—22no—
756#127—22no—
757#127—22no—
758#127—22no—
759#127C2×D414yes—
760#126—28no—
761#126—28no—
762#126—24no—
763#126—24no—
764#125—24no—
765#124—28no—
766#124—28no—
767#124—28no—
768#124—28no—
769#124—28no—
770#124—28no—
771#124—28no—
772#124—28no—
773#124—22no—
774#124—22no—
775#124—22no—
776#124—22no—
777#124—22no—
778#124—22no—
779#124—22no—
780#124—22no—
781#124—22no—
782#124—22no—
783#124—28no—
784#124—24no—
785#124—22no—
786#124—22no—
787#124—22no—
788#124—44no—
789#124C2×D414yes—
790#123—28no—
791#123—28no—
792#123—28no—
793#123—28no—
794#123—28no—
795#123—28no—
796#123—28no—
797#123—28no—
798#123—24no—
799#123—24no—
800C22⋊Q8—28no—
801C22⋊Q8—28no—
802C22⋊Q8—28no—
803C22⋊Q8—22no—
804C22⋊Q8—22no—
805C22⋊Q8—28no—
806C22⋊Q8—22no—
807C22⋊Q8—24no—
808C22⋊Q8—22no—
809C22⋊Q8—22no—
810C22⋊Q8—22no—
811C22⋊Q8—41no—
812C22⋊Q8—44no—
813C22⋊Q8—41no—
814C22⋊Q8—41no—
815C22⋊Q8C2×D414yes—
816#121—28no—
817#121—28no—
818#121—28no—
819#121—28no—
820#121—28no—
821#121—28no—
822#121—28no—
823#121—28no—
824#121—28no—
825#121—28no—
826#121—24no—
827#121—22no—
828#121—22no—
829#121—22no—
830#121—22no—
831#121—28no—
832#121—22no—
833#121—22no—
834#121—22no—
835#121—44no—
836#121—41no—
837#121—41no—
838#121C2×D414yes—
839#121C2×D414yes—
840#121C2×D414yes—
841#120—28no—
842#120—28no—
843#120—28no—
844#120—28no—
845#120—28no—
846#120—28no—
847#120—28no—
848#120—28no—
849#120—28no—
850#120—28no—
851C4×Q8—22no—
852C4×Q8—22no—
853C4×Q8—22no—
854C4×Q8—22no—
855C4×Q8—22no—
856C4×Q8—22no—
857C4×Q8—22no—
858C4×Q8C2×D414yes—
859C4×D4—28no—
860C4×D4—28no—
861C4×D4—28no—
862C4×D4—28no—
863C4×D4—22no—
864C4×D4—22no—
865C4×D4—22no—
866C4×D4—22no—
867C4×D4—22no—
868C4×D4—22no—
869C4×D4—22no—
870C4×D4—22no—
871C4×D4—22no—
872C4×D4—22no—
873C4×D4—28no—
874C4×D4—22no—
875C4×D4—44no—
876C4×D4C2×D414yes—
877C4×D4C2×D414yes—
878C4×D4C2×D414yes—
879#117—22no—
880#117—22no—
881#117—22no—
882#117—22no—
883#117—41no—
884#117—41no—
885#117—41no—
886#117—41no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4C2×D411yescharacteristic
902C2×C4⋊C4C2×D411yescharacteristic
903C2×C4⋊C4C2×D411yescharacteristic
904C2×C4⋊C4C2×D411yescharacteristic
905C2×C4⋊C4C2×D411yescharacteristic
906C2×C4⋊C4C2×D411yescharacteristic
907C2×C4⋊C4C2×D411yescharacteristic
908C2×C4⋊C4C2×D411yescharacteristic
909C2×C4⋊C4C2×D411yescharacteristic
910C2×C4⋊C4C2×D411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C22⋊C4—28no—
919C2×C22⋊C4—28no—
920C2×C22⋊C4—28no—
921C2×C22⋊C4—28no—
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⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4—21no—
959C2×C22⋊C4—21no—
960C2×C22⋊C4—21no—
961C2×C22⋊C4—21no—
962C2×C22⋊C4C2×D411yescharacteristic
963C2×C22⋊C4C2×D411yescharacteristic
964C2×C22⋊C4C2×D411yescharacteristic
965C2×C22⋊C4C2×D411yescharacteristic
966C2×C22⋊C4C2×D411yescharacteristic
967C2×C22⋊C4C2×D411yescharacteristic
968C2×C22⋊C4C2×D411yescharacteristic
969C2×C22⋊C4C2×D411yescharacteristic
970C2×C22⋊C4C2×D411yescharacteristic
971C2×C22⋊C4C2×D411yescharacteristic
972C2×C42—21no—
973C2×C42—21no—
974C2×C42—22no—
975C2×C42—22no—
976C2×C42—21no—
977C2×C42—21no—
978C2×C42—21no—
979C2×C42—21no—
980C2×C42C2×D411yescharacteristic
981C2×C42C2×D411yescharacteristic
982C2×C42C2411yescharacteristic
983C2×C42C2411yescharacteristic
984C2×C42C2411yescharacteristic
985C2×C42C2411yescharacteristic
986#107—22no—
987#107—22no—
988C4⋊C8—22no—
989C4⋊C8—22no—
990#103—22no—
991#103—22no—
992#103—22no—
993#103—22no—
994#103—22no—
995#103—22no—
996#103—22no—
997#103—22no—
998#103—41no—
999#103—41no—
1000#103—41no—
1001#103—41no—
1002#103—41no—
1003#103—41no—
1004#102—22no—
1005#102—22no—
1006#102—22no—
1007#102—22no—
1008#102—22no—
1009#102—22no—
1010#102—22no—
1011#102—22no—
1012#102—22no—
1013#102—22no—
1014#102—41no—
1015#102—41no—
1016#102—41no—
1017#102—41no—
1018#102—41no—
1019#102—41no—
1020#102—41no—
1021#102—41no—
1022#102—41no—
1023#102—41no—
1024#102—41no—
1025#102—41no—
1026C22⋊C8—22no—
1027C22⋊C8—22no—
1028C22⋊C8—22no—
1029C22⋊C8—22no—
1030C22⋊C8—22no—
1031C22⋊C8—22no—
1032C22⋊C8—41no—
1033C22⋊C8—41no—
1034#97—22no—
1035C4×C8—22no—
1036#95—21no—
1037#95—21no—
1038#95—21no—
1039#95—21no—
1040#95—21no—
1041#95—21no—
1042#95—21no—
1043#95—21no—
1044#95—21no—
1045#95—21no—
1046#95—21no—
1047#95—21no—
1048#95—21no—
1049#95—21no—
1050#95—21no—
1051#95—21no—
1052#95—21no—
1053#95—21no—
1054#95—21no—
1055C24—24no—
1056C24—21no—
1057C24—21no—
1058C24—21no—
1059C24—21no—
1060C24—24no—
1061C24—24no—
1062C24—21no—
1063C24—42no—
1064C24—42no—
1065C24—81no—
1066C24—81no—
1067C24—81no—
1068C24—81no—
1069C24—81no—
1070C24—81no—
1071C24—81no—
1072C24—81no—
1073C24—81no—
1074C24—81no—
1075C24—81no—
1076C24—81no—
1077C24—81no—
1078C24—81no—
1079C24—81no—
1080C24—81no—
1081C24C22×D411yescharacteristic
1082C24C22×D411yescharacteristic
1083C24C22×D411yescharacteristic
1084#41—44no—
1085#41—44no—
1086#41—44no—
1087#41—44no—
1088#41—82no—
1089#41—82no—
1090#41—82no—
1091#41—82no—
1092#41—82no—
1093#41—82no—
1094#41—816no—
1095#41—82no—
1096#41—82no—
1097C2×Q8—24no—
1098C2×Q8—22no—
1099C2×Q8—24no—
1100C2×Q8—21no—
1101C2×Q8—21no—
1102C2×Q8—21no—
1103C2×Q8—21no—
1104C2×Q8—21no—
1105C2×Q8—21no—
1106C2×Q8—21no—
1107C2×Q8—21no—
1108C2×Q8—21no—
1109C2×Q8—21no—
1110C2×Q8—21no—
1111C2×Q8—21no—
1112C2×Q8—21no—
1113C2×Q8—21no—
1114C2×Q8—21no—
1115C2×Q8—21no—
1116C2×Q8—21no—
1117C2×Q8—21no—
1118C2×Q8—21no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—41no—
1122C2×Q8—41no—
1123C2×Q8—42no—
1124C2×Q8—44no—
1125C2×Q8—44no—
1126C2×Q8—44no—
1127C2×Q8—44no—
1128C2×Q8—42no—
1129C2×Q8—81no—
1130C2×Q8—81no—
1131C2×Q8—81no—
1132C2×Q8—81no—
1133C2×Q8—81no—
1134C2×Q8—82no—
1135C2×Q8—82no—
1136C2×Q8—82no—
1137C2×Q8—82no—
1138C2×Q8C22×D412yes—
1139C2×Q8C22×D412yes—
1140C2×Q8H(5,𝔽2)12yes—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—22no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—22no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—21no—
1159C2×D4—21no—
1160C2×D4—21no—
1161C2×D4—21no—
1162C2×D4—21no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—21no—
1166C2×D4—21no—
1167C2×D4—21no—
1168C2×D4—21no—
1169C2×D4—21no—
1170C2×D4—21no—
1171C2×D4—21no—
1172C2×D4—21no—
1173C2×D4—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—21no—
1180C2×D4—21no—
1181C2×D4—21no—
1182C2×D4—21no—
1183C2×D4—21no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—82no—
1202C2×D4—82no—
1203C2×D4—82no—
1204C2×D4—82no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—81no—
1209C2×D4—81no—
1210C2×D4—81no—
1211C2×D4—81no—
1212C2×D4—81no—
1213C2×D4—81no—
1214C2×D4—81no—
1215C2×D4—81no—
1216C2×D4—81no—
1217C2×D4—81no—
1218C2×D4—81no—
1219C2×D4—81no—
1220C2×D4—81no—
1221C2×D4—81no—
1222C2×D4—81no—
1223C2×D4—82no—
1224C2×D4—82no—
1225C2×D4—82no—
1226C2×D4—82no—
1227C2×D4—81no—
1228C2×D4—81no—
1229C2×D4—81no—
1230C2×D4—81no—
1231C2×D4—81no—
1232C2×D4—81no—
1233C2×D4—81no—
1234C2×D4—81no—
1235C2×D4—81no—
1236C2×D4—81no—
1237C2×D4—81no—
1238C2×D4—81no—
1239C2×D4—81no—
1240C2×D4—81no—
1241C2×D4—816no—
1242C2×D4—816no—
1243C2×D4#12014yes—
1244C2×D4C22×D412yes—
1245C2×D4C22×D412yes—
1246C2×D4C22×D412yes—
1247C2×D4C22×D412yes—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—22no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—81no—
1291C22×C4—81no—
1292C22×C4—81no—
1293C22×C4—81no—
1294C22×C4—81no—
1295C22×C4—81no—
1296C22×C4—81no—
1297C22×C4—81no—
1298C22×C4—81no—
1299C22×C4—81no—
1300C22×C4—81no—
1301C22×C4—81no—
1302C22×C4—81no—
1303C22×C4—81no—
1304C22×C4—81no—
1305C22×C4—81no—
1306C22×C4C22×D411yescharacteristic
1307C22×C4C22×D411yescharacteristic
1308C22×C4C22×D411yescharacteristic
1309C22×C4C22×D411yescharacteristic
1310C22×C4C22×D411yescharacteristic
1311C22×C4C22×D411yescharacteristic
1312C22×C4C22×D411yescharacteristic
1313C22×C4C22×D411yescharacteristic
1314C22×C4C22×D411yescharacteristic
1315C22×C4C22×D411yescharacteristic
1316C22×C4C22×D411yescharacteristic
1317C22×C4C22×D412yes—
1318C22×C4C22×D412yes—
1319C22×C4C22×D412yes—
1320C22×C4C22×D412yes—
1321C22×C4C2511yescharacteristic
1322Q16—28no—
1323Q16—44no—
1324Q16—44no—
1325Q16—82no—
1326SD16—28no—
1327SD16—44no—
1328SD16—44no—
1329SD16—44no—
1330SD16—44no—
1331SD16—44no—
1332SD16—44no—
1333SD16—44no—
1334SD16—44no—
1335SD16—82no—
1336D8—44no—
1337D8—44no—
1338D8—82no—
1339D8—82no—
1340M16—44no—
1341M16—44no—
1342M16—44no—
1343C2×C8—21no—
1344C2×C8—21no—
1345C2×C8—21no—
1346C2×C8—21no—
1347C2×C8—21no—
1348C2×C8—21no—
1349C2×C8—21no—
1350C2×C8—21no—
1351C2×C8—21no—
1352C2×C8—21no—
1353C2×C8—21no—
1354C2×C8—21no—
1355C2×C8—21no—
1356C2×C8—21no—
1357C2×C8—21no—
1358C2×C8—21no—
1359C2×C8—21no—
1360C2×C8—21no—
1361C2×C8—21no—
1362C2×C8—21no—
1363C2×C8—21no—
1364C2×C8—21no—
1365C2×C8—44no—
1366C2×C8H(5,𝔽2)12yes—
1367C2×C8H(5,𝔽2)12yes—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—81no—
1398C4⋊C4—81no—
1399C4⋊C4—81no—
1400C4⋊C4—81no—
1401C4⋊C4—81no—
1402C4⋊C4—81no—
1403C4⋊C4#12014yes—
1404C4⋊C4C22×D412yes—
1405C4⋊C4C22×D412yes—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—22no—
1422C22⋊C4—24no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—81no—
1443C22⋊C4—81no—
1444C22⋊C4—81no—
1445C22⋊C4—81no—
1446C22⋊C4—81no—
1447C22⋊C4—81no—
1448C22⋊C4—81no—
1449C22⋊C4—81no—
1450C22⋊C4—81no—
1451C22⋊C4—81no—
1452C22⋊C4—81no—
1453C22⋊C4—81no—
1454C22⋊C4#12014yes—
1455C22⋊C4#12014yes—
1456C42—24no—
1457C42—22no—
1458C42—22no—
1459C42—24no—
1460C42—21no—
1461C42—21no—
1462C42—21no—
1463C42—21no—
1464C42—21no—
1465C42—21no—
1466C42—42no—
1467C42—81no—
1468C42—81no—
1469C42—81no—
1470C42C22×D412yes—
1471C42C22×D412yes—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—21no—
1494C23—21no—
1495C23—48no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—84no—
1528C23—84no—
1529C23—84no—
1530C23—84no—
1531C23—84no—
1532C23—84no—
1533C23—84no—
1534C23—84no—
1535C23—162no—
1536C23—162no—
1537C23—162no—
1538C23—162no—
1539C23—162no—
1540C23—162no—
1541C23—162no—
1542C23—162no—
1543C23—162no—
1544C23—162no—
1545C23—162no—
1546C23—162no—
1547C23C2×#12012yes—
1548C23C2×#12012yes—
1549C23C23×D411yescharacteristic
1550Q8—22no—
1551Q8—22no—
1552Q8—22no—
1553Q8—22no—
1554Q8—22no—
1555Q8—22no—
1556Q8—41no—
1557Q8—41no—
1558Q8—41no—
1559Q8—41no—
1560Q8—41no—
1561Q8—41no—
1562Q8—41no—
1563Q8—41no—
1564Q8—41no—
1565Q8—41no—
1566Q8—82no—
1567Q8—84no—
1568Q8—84no—
1569Q8—84no—
1570D4—22no—
1571D4—22no—
1572D4—22no—
1573D4—22no—
1574D4—22no—
1575D4—22no—
1576D4—22no—
1577D4—22no—
1578D4—44no—
1579D4—44no—
1580D4—48no—
1581D4—48no—
1582D4—41no—
1583D4—41no—
1584D4—41no—
1585D4—41no—
1586D4—41no—
1587D4—41no—
1588D4—41no—
1589D4—41no—
1590D4—41no—
1591D4—41no—
1592D4—41no—
1593D4—41no—
1594D4—84no—
1595D4—84no—
1596D4—84no—
1597D4—84no—
1598D4—82no—
1599D4—84no—
1600D4—84no—
1601D4—84no—
1602D4—84no—
1603D4—84no—
1604D4—84no—
1605D4—84no—
1606D4—84no—
1607D4—84no—
1608D4—84no—
1609D4—84no—
1610D4—162no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—44no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—84no—
1687C2×C4—84no—
1688C2×C4—84no—
1689C2×C4—82no—
1690C2×C4—84no—
1691C2×C4—84no—
1692C2×C4—84no—
1693C2×C4—84no—
1694C2×C4—84no—
1695C2×C4—84no—
1696C2×C4C2×#12012yes—
1697C2×C4C2×#12012yes—
1698C2×C4C2×#12012yes—
1699C2×C4C2×#12012yes—
1700C2×C4C23×D411yescharacteristic
1701C2×C4C23×D411yescharacteristic
1702C2×C4C2×H(5,𝔽2)11yescharacteristic
1703C2×C4C2×H(5,𝔽2)11yescharacteristic
1704C2×C4C2×H(5,𝔽2)11yescharacteristic
1705C2×C4#58511yescharacteristic
1706C8—22no—
1707C8—22no—
1708C8—41no—
1709C8—41no—
1710C8—41no—
1711C8—41no—
1712C8—41no—
1713C8—41no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—41no—
1735C22—41no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—41no—
1741C22—42no—
1742C22—42no—
1743C22—41no—
1744C22—42no—
1745C22—42no—
1746C22—41no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—81no—
1757C22—81no—
1758C22—81no—
1759C22—81no—
1760C22—81no—
1761C22—81no—
1762C22—81no—
1763C22—81no—
1764C22—81no—
1765C22—81no—
1766C22—81no—
1767C22—81no—
1768C22—81no—
1769C22—81no—
1770C22—168no—
1771C22—168no—
1772C22—168no—
1773C22C22×#12011yescharacteristic
1774C22#348811yescharacteristic
1775C22#349811yescharacteristic
1776C22#358411yescharacteristic
1777C22#358511yescharacteristic
1778C22#358511yescharacteristic
1779C22#358611yescharacteristic
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—41no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—42no—
1792C4—42no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—81no—
1797C4—81no—
1798C4—81no—
1799C4—81no—
1800C4—81no—
1801C4—81no—
1802C4#348411yescharacteristic
1803C4#348411yescharacteristic
1804C4#349611yescharacteristic
1805C4#349611yescharacteristic
1806C2—42no—
1807C2—42no—
1808C2—81no—
1809C2—82no—
1810C2—82no—
1811C2—82no—
1812C2—82no—
1813C2—161no—
1814C2#3568011yescharacteristic
1815C2#6036711yescharacteristic
1816C2#6037711yescharacteristic
1817C2#6204911yescharacteristic
1818C2#6209211yescharacteristic
1819C2#6244511yescharacteristic
1820C2#6246811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3558C2semidirect
2. C2×#3277C2semidirect
3. C2×#3265C2semidirect
4. #38035C2semidirect
5. #29677C2semidirect
6. #29630C2semidirect
7. #29626C2semidirect
8. #25736C2semidirect
9. #25639C2semidirect
10. #25635C2semidirect
11. #25510C2semidirect
12. #25501C2semidirect
13. #24450C2semidirect
14. #24448C2semidirect
15. #24447C2semidirect
16. #24428C2semidirect
17. #24220C2semidirect
18. #24206C2semidirect
19. #24190C2semidirect
20. #23946C2semidirect
21. #23932C2semidirect
22. #23871C2semidirect
23. #23862C2semidirect
24. #23860C2semidirect
25. #23852C2semidirect
26. #23585C2semidirect
27. #23431C2semidirect
28. #23423C2semidirect
29. #22472C2semidirect
30. #22428C2semidirect
31. #22426C2semidirect
32. C22×#137C22semidirect
33. C22×#137C22semidirect
35. C23×SD16C22semidirect
44. C2×#548C22semidirect
65. C2×#495C22semidirect
66. C2×#468C22semidirect
67. C2×#468C22semidirect
68. C2×#468C22semidirect
70. C2×#464C22semidirect
71. C2×#464C22semidirect
73. C2×#463C22semidirect
74. C2×#452C22semidirect
75. C2×#452C22semidirect
76. C2×#449C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#451C22semidirect
81. C2×#451C22semidirect
84. C2×#450C22semidirect
85. C2×#450C22semidirect
86. C2×#447C22semidirect
87. C2×#447C22semidirect
88. C2×#440C22semidirect
89. C2×C4×Q16C22semidirect
90. C2×#436C22semidirect
91. C2×#435C22semidirect
92. C2×#419C22semidirect
94. C2×#418C22semidirect
95. C2×#416C22semidirect
96. #2855C22semidirect
101. #2624C22semidirect
102. #2620C22semidirect
103. #2592C22semidirect
104. #2582C22semidirect
109. #2415C22semidirect
110. #2414C22semidirect
111. #2409C22semidirect
112. #2407C22semidirect
113. #2354C22semidirect
114. #2323C22semidirect
115. #2310C22semidirect
116. #2297C22semidirect
117. #2057C22semidirect
118. #2042C22semidirect
119. #2042C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
124. #2041C22semidirect
125. #2036C22semidirect
127. #2024C22semidirect
128. #2024C22semidirect
129. #2023C22semidirect
130. #2015C22semidirect
131. #2015C22semidirect
132. #2015C22semidirect
133. #2015C22semidirect
134. #2015C22semidirect
135. #2015C22semidirect
136. #2015C22semidirect
137. #2015C22semidirect
138. #2015C22semidirect
139. #2015C22semidirect
142. #2014C22semidirect
143. #2014C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2012C22semidirect
150. #2011C22semidirect
151. #2001C22semidirect
152. #2001C22semidirect
155. #2000C22semidirect
157. #1985C22semidirect
158. #1984C22semidirect
159. #1983C22semidirect
161. #1959C22semidirect
164. #1895C22semidirect
165. #1895C22semidirect
166. #1892C22semidirect
167. #1880C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1878C22semidirect
172. #1878C22semidirect
173. #1877C22semidirect
174. #1877C22semidirect
175. #1877C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
180. #1875C22semidirect
181. #1875C22semidirect
182. #1873C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1863C22semidirect
188. #1862C22semidirect
189. #1862C22semidirect
190. #1862C22semidirect
191. #1818C22semidirect
192. #1817C22semidirect
193. #1803C22semidirect
194. #1802C22semidirect
195. #1798C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1763C22semidirect
203. C4×#102C22semidirect
204. #1750C22semidirect
205. #1729C22semidirect
206. #1728C22semidirect
263. #548D4semidirect
273. D42D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35582
C2×#32772
C2×#32652
#380352
#296772
#296302
#296262
#257362
#256392
#256352
#255102
#255012
#244502
#244482
#244472
#244282
#242202
#242062
#241902
#239462
#239322
#238712
#238622
#238602
#238522
#235852
#234312
#234232
#224722
#224282
#224262