Finite Group Databasebeta

← #11701634

Subgroups — #11701634

Order 768.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86564C211yesmaximal, characteristic, complemented
2#86351C211yesmaximal, characteristic, complemented
3C3×#3225C211yesmaximal, characteristic, complemented
4#83457C211yesmaximal, characteristic, complemented
5#83401C211yesmaximal, characteristic, complemented
6#81880C211yesmaximal, characteristic, complemented
7#81861C211yesmaximal, characteristic, complemented
8#81826C211yesmaximal, characteristic, complemented
9#81811C211yesmaximal, characteristic, complemented
10#81694C211yesmaximal, characteristic, complemented
11#81683C211yesmaximal, characteristic, complemented
12#81608C211yesmaximal, characteristic, complemented
13#81599C211yesmaximal, characteristic, complemented
14#80622C211yesmaximal, characteristic, complemented
15#80585C211yesmaximal, characteristic, complemented
16#80562C211yesmaximal, characteristic, complemented
17#80517C211yesmaximal, characteristic, complemented
18#80494C211yesmaximal, characteristic, complemented
19#80462C211yesmaximal, characteristic, complemented
20#80455C211yesmaximal, characteristic, complemented
21#80418C211yesmaximal, characteristic, complemented
22#80261C211yesmaximal, characteristic, complemented
23#80253C211yesmaximal, characteristic, complemented
24#80199C211yesmaximal, characteristic, complemented
25#80193C211yesmaximal, characteristic, complemented
26#80116C211yesmaximal, characteristic, complemented
27#80105C211yesmaximal, characteristic, complemented
28#80056C211yesmaximal, characteristic, complemented
29#80051C211yesmaximal, characteristic, complemented
30#79369C211yesmaximal, characteristic, complemented
31#79364C211yesmaximal, characteristic, complemented
32#62619—31nomaximal, Sylow
33C3×#542C2211yescharacteristic
34C3×#536C2211yescharacteristic
35#5834C2211yescharacteristic
36#5824C2211yescharacteristic
37#5817C2211yescharacteristic
38Q8×#67C2211yescharacteristic
39#5729C2211yescharacteristic
40#5728C2211yescharacteristic
41#5726C2211yescharacteristic
42#5724C2211yescharacteristic
43D3×C4⋊Q8C2211yescharacteristic
44#5721C2211yescharacteristic
45#5712—21no—
46#5708—21no—
47#5682C2211yescharacteristic
48#5682C2211yescharacteristic
49#5681C2211yescharacteristic
50#5680C2211yescharacteristic
51#5677C2211yescharacteristic
52#5675—21no—
53#5669—21no—
54#5668C2211yescharacteristic
55#5667—21no—
56#5664—21no—
57#5663—21no—
58#5660—21no—
59#5655—21no—
60#5651—21no—
61#5647—21no—
62#5645—21no—
63#5640—21no—
64#5639C2211yescharacteristic
65#5636—21no—
66#5635C2211yescharacteristic
67#5628—21no—
68#5623—21no—
69#5616C2211yescharacteristic
70#5611C2211yescharacteristic
71#5581C2211yescharacteristic
72Q8×Dic6C2211yescharacteristic
73#5551C2211yescharacteristic
74#5539C2211yescharacteristic
75#5534C2211yescharacteristic
76#5528C2211yescharacteristic
77#5519C2211yescharacteristic
78C3×#497C2211yescharacteristic
79C3×#495C2211yescharacteristic
80C3×#489C2211yescharacteristic
81C3×#487C2211yescharacteristic
82C3×#464C2211yescharacteristic
83C3×#463C2211yescharacteristic
84C3×#462C2211yescharacteristic
85C3×#461C2211yescharacteristic
86C3×#452C2211yescharacteristic
87C3×#451C2211yescharacteristic
88C3×#449C2211yescharacteristic
89C3×#448C2211yescharacteristic
90C3×#433C2211yescharacteristic
91#5233C2211yescharacteristic
92#5232C2211yescharacteristic
93#5225C2211yescharacteristic
94C2×#835C2211yescharacteristic
95#5189C2211yescharacteristic
96#5189C2211yescharacteristic
97#5188C2211yescharacteristic
98#5187C2211yescharacteristic
99#5187C2211yescharacteristic
100#5186C2211yescharacteristic
101#5185C2211yescharacteristic
102#5182C2211yescharacteristic
103#5182C2211yescharacteristic
104Dic3×Q16C2211yescharacteristic
105Dic3×Q16C2211yescharacteristic
106Dic3×Q16C2211yescharacteristic
107#5174C2211yescharacteristic
108#5174C2211yescharacteristic
109#5174C2211yescharacteristic
110#5174C2211yescharacteristic
111#5173C2211yescharacteristic
112#5172C2211yescharacteristic
113#5172C2211yescharacteristic
114#5170C2211yescharacteristic
115#5165C2211yescharacteristic
116#5164C2211yescharacteristic
117#5164C2211yescharacteristic
118#5163C2211yescharacteristic
119#5162C2211yescharacteristic
120#5162C2211yescharacteristic
121Dic3×SD16C2211yescharacteristic
122Dic3×SD16C2211yescharacteristic
123#5158C2211yescharacteristic
124#5157C2211yescharacteristic
125#5150C2211yescharacteristic
126Dic3×D8C2211yescharacteristic
127#5089C2211yescharacteristic
128#5082C2211yescharacteristic
129#5082C2211yescharacteristic
130#5079C2211yescharacteristic
131#5079C2211yescharacteristic
132#5078C2211yescharacteristic
133#5059C2211yescharacteristic
134#5056C2211yescharacteristic
135#5056C2211yescharacteristic
136#5055C2211yescharacteristic
137#5055C2211yescharacteristic
138#5055C2211yescharacteristic
139#5051C2211yescharacteristic
140#5049C2211yescharacteristic
141#5042C2211yescharacteristic
142#5038C2211yescharacteristic
143C4×#216C2211yescharacteristic
144#5026C2211yescharacteristic
145#5018C2211yescharacteristic
146C4×#213C2211yescharacteristic
147#4997C2211yescharacteristic
148#4850C2211yescharacteristic
149#4847C2211yescharacteristic
150#4846C2211yescharacteristic
151#4838C2211yescharacteristic
152#4836C2211yescharacteristic
153#4830C2211yescharacteristic
154#4829C2211yescharacteristic
155#4828C2211yescharacteristic
156#4815C2211yescharacteristic
157#4811C2211yescharacteristic
158#4811C2211yescharacteristic
159#4811C2211yescharacteristic
160#4811C2211yescharacteristic
161#4811C2211yescharacteristic
162#4804C2211yescharacteristic
163#4803C2211yescharacteristic
164#4803C2211yescharacteristic
165#4803C2211yescharacteristic
166#4802C2211yescharacteristic
167D3×#103C2211yescharacteristic
168#4800C2211yescharacteristic
169#4799C2211yescharacteristic
170#4797C2211yescharacteristic
171#4794C2211yescharacteristic
172#4793C2211yescharacteristic
173#4793C2211yescharacteristic
174#4793C2211yescharacteristic
175#4793C2211yescharacteristic
176#4793C2211yescharacteristic
177#4792C2211yescharacteristic
178#4792C2211yescharacteristic
179#4792C2211yescharacteristic
180#4779C2211yescharacteristic
181#4774C2211yescharacteristic
182#4771C2211yescharacteristic
183#4771C2211yescharacteristic
184#4763C2211yescharacteristic
185#4760C2211yescharacteristic
186#4760C2211yescharacteristic
187#4759C2211yescharacteristic
188#4737C2211yescharacteristic
189#4736C2211yescharacteristic
190#4730C2211yescharacteristic
191#4729C2211yescharacteristic
192#4729C2211yescharacteristic
193#67⋊C8C2211yescharacteristic
194#4723C2211yescharacteristic
195#4722C2211yescharacteristic
196#4714C2211yescharacteristic
197#4709C2211yescharacteristic
198#4707C2211yescharacteristic
199#4702C2211yescharacteristic
200#4697C2211yescharacteristic
201#4689C2211yescharacteristic
202#4685C2211yescharacteristic
203#4682C2211yescharacteristic
204#3554—31no—
205#3544—31no—
206#3375—31no—
207#3372—31no—
208#3363—31no—
209#3361—31no—
210#3333—31no—
211#3330—31no—
212#3330—31no—
213#3329—31no—
214#3327—31no—
215#3327—31no—
216#3315—31no—
217#3315—31no—
218#3308—31no—
219#3308—31no—
220#3305—31no—
221#3299—31no—
222#3243—31no—
223#3243—31no—
224#3230—31no—
225#3225—31no—
226#3225D311yescharacteristic, complemented
227#3212—31no—
228#3175—31no—
229#3175—31no—
230#3172—31no—
231#3141—31no—
232#3137—31no—
233#3137—31no—
234#2969—31no—
235C2×C3×#41C2311yescharacteristic
236C22×C3×Q8C2311yescharacteristic
237C2×#239C2311yescharacteristic
238C2×#239C2311yescharacteristic
239C2×D3×Q8—21no—
240C2×D3×Q8C2311yescharacteristic
241C2×#237—21no—
242C2×#237C2311yescharacteristic
243C2×#235—21no—
244C2×C3×Q16C2311yescharacteristic
245C2×C3×Q16C2311yescharacteristic
246C2×C3×Q16C2311yescharacteristic
247C2×C3×SD16C2311yescharacteristic
248C2×C3×SD16C2311yescharacteristic
249C2×C3×SD16C2311yescharacteristic
250C2×C3×SD16C2311yescharacteristic
251C2×C3×D8C2311yescharacteristic
252C3×C4⋊Q8C2311yescharacteristic
253C3×C4⋊Q8C2311yescharacteristic
254C3×C4⋊Q8C2311yescharacteristic
255C3×#126—21no—
256C3×#124—21no—
257C3×#124C2311yescharacteristic
258C3×#124C2311yescharacteristic
259C3×#124C2311yescharacteristic
260C3×#123—21no—
261C3×#123—21no—
262C3×#123—21no—
263C3×C22⋊Q8—21no—
264C3×C22⋊Q8—21no—
265C3×C22⋊Q8—21no—
266C3×C22⋊Q8C2311yescharacteristic
267C3×#121C2311yescharacteristic
268C3×C4×Q8C2311yescharacteristic
269C3×C4×D4C2311yescharacteristic
270C3×#117C2311yescharacteristic
271#947—21no—
272#947C2311yescharacteristic
273#946—21no—
274#946—21no—
275#946—21no—
276#946C2311yescharacteristic
277#946C2311yescharacteristic
278#946C2311yescharacteristic
279#946C2311yescharacteristic
280#946C2311yescharacteristic
281Q8×Dic3C2311yescharacteristic
282Q8×Dic3C2311yescharacteristic
283Q8×Dic3C2311yescharacteristic
284Q8×Dic3C2311yescharacteristic
285Q8×Dic3C2311yescharacteristic
286#944—21no—
287#944—21no—
288#944—21no—
289#944C2311yescharacteristic
290#944C2311yescharacteristic
291C2×#216C2311yescharacteristic
292C2×#215C2311yescharacteristic
293#940—21no—
294#940C2311yescharacteristic
295#939—21no—
296#939—21no—
297#938—21no—
298#938C2311yescharacteristic
299#938C2311yescharacteristic
300#938C2311yescharacteristic
301#936—21no—
302#935—21no—
303#935—21no—
304D4×Dic3C2311yescharacteristic
305D4×Dic3C2311yescharacteristic
306D4×Dic3C2311yescharacteristic
307C2×#214C2311yescharacteristic
308C2×#213C2311yescharacteristic
309#930—21no—
310#930—21no—
311#930C2311yescharacteristic
312#929—21no—
313C4×#67—21no—
314C4×#67—21no—
315C4×#67—21no—
316C4×#67C2311yescharacteristic
317C4×#67C2311yescharacteristic
318#926C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320#924—21no—
321#924—21no—
322#924—21no—
323#924C2311yescharacteristic
324C2×Dic3⋊C4—21no—
325C2×Dic3⋊C4—21no—
326C2×#208C2311yescharacteristic
327C22×C3⋊C8C2311yescharacteristic
328C2×ΓL(1,𝔽25)C2311yescharacteristic
329C2×ΓL(1,𝔽25)C2311yescharacteristic
330C2×ΓL(1,𝔽25)C2311yescharacteristic
331C2×D3×C8C2311yescharacteristic
332#898—21no—
333#898D411yescharacteristic
334#897—21no—
335#897—21no—
336#896—21no—
337#896—21no—
338#896—21no—
339#896—21no—
340#896D411yescharacteristic
341#895—21no—
342#894—21no—
343#894—21no—
344#894—21no—
345#894—21no—
346#894—21no—
347#894D411yescharacteristic
348#892—21no—
349#892—21no—
350#892C2311yescharacteristic
351D3×C4⋊C4—21no—
352D3×C4⋊C4—21no—
353D3×C4⋊C4C2311yescharacteristic
354D3×C4⋊C4C2311yescharacteristic
355D3×C4⋊C4C2311yescharacteristic
356#890—21no—
357#890—21no—
358#890—21no—
359#890C2311yescharacteristic
360#889—21no—
361#889—21no—
362#889—21no—
363#889—21no—
364#889—21no—
365#889—21no—
366#889D411yescharacteristic
367#888—21no—
368#888—21no—
369#888—21no—
370#888—21no—
371#888C2311yescharacteristic
372#888C2311yescharacteristic
373#888C2311yescharacteristic
374#887—21no—
375#887—21no—
376#886—21no—
377#886—21no—
378#886—21no—
379#885—21no—
380#885—21no—
381#885—21no—
382#885—21no—
383#885—21no—
384#885—21no—
385#885D411yescharacteristic
386#884—21no—
387#884—21no—
388#884—21no—
389#884D411yescharacteristic
390#883—21no—
391#883—21no—
392#883—21no—
393#883—21no—
394#883—21no—
395#883—21no—
396#883—21no—
397#883D411yescharacteristic
398#67⋊C4—21no—
399#67⋊C4—21no—
400#67⋊C4—21no—
401#67⋊C4—21no—
402#67⋊C4—21no—
403#67⋊C4—21no—
404#879—21no—
405#879—21no—
406#879—21no—
407#879—21no—
408#879D411yescharacteristic
409#878—21no—
410#878—21no—
411#878—21no—
412#878—21no—
413#878—21no—
414#878—21no—
415#878—21no—
416#878—21no—
417#878—21no—
418#877—21no—
419#877—21no—
420#876—21no—
421#875C2311yescharacteristic
422C4×D12C2311yescharacteristic
423C4×D12C2311yescharacteristic
424#872—21no—
425#872C2311yescharacteristic
426C42×D3C2311yescharacteristic
427#870C2311yescharacteristic
428#870C2311yescharacteristic
429#869—21no—
430#869C2311yescharacteristic
431#869C2311yescharacteristic
432#869C2311yescharacteristic
433C4×Dic6—21no—
434C4×Dic6C2311yescharacteristic
435C4×Dic6C2311yescharacteristic
436C3×C4⋊C8C2311yescharacteristic
437C3×C4⋊C8C2311yescharacteristic
438C3×#103C2311yescharacteristic
439C3×#103C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#103C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#102C2311yescharacteristic
445C3×#102C2311yescharacteristic
446C3×C22⋊C8C2311yescharacteristic
447C3×C22⋊C8C2311yescharacteristic
448C3×#97C2311yescharacteristic
449C3×C4×C8C2311yescharacteristic
450#835C2311yescharacteristic
451#835C2311yescharacteristic
452#835C2311yescharacteristic
453#835C2311yescharacteristic
454#835C2311yescharacteristic
455#835C2311yescharacteristic
456#835C2311yescharacteristic
457#835C2311yescharacteristic
458#835C2311yescharacteristic
459#835C2311yescharacteristic
460#835C2311yescharacteristic
461#835C2311yescharacteristic
462#835C2311yescharacteristic
463#835C2311yescharacteristic
464#832C2311yescharacteristic
465#832C2311yescharacteristic
466#832C2311yescharacteristic
467#832C2311yescharacteristic
468#832C2311yescharacteristic
469#832C2311yescharacteristic
470#821C2311yescharacteristic
471#821C2311yescharacteristic
472#821C2311yescharacteristic
473#821C2311yescharacteristic
474(C2×D3)⋊C8C2311yescharacteristic
475(C2×D3)⋊C8C2311yescharacteristic
476(C2×D3)⋊C8C2311yescharacteristic
477(C2×D3)⋊C8C2311yescharacteristic
478#818C2311yescharacteristic
479#818C2311yescharacteristic
480#818C2311yescharacteristic
481#818C2311yescharacteristic
482#818C2311yescharacteristic
483#818C2311yescharacteristic
484#817C2311yescharacteristic
485#817C2311yescharacteristic
486#816C2311yescharacteristic
487#816C2311yescharacteristic
488#816C2311yescharacteristic
489#816C2311yescharacteristic
490#815C2311yescharacteristic
491Dic3⋊C8C2311yescharacteristic
492Dic3⋊C8C2311yescharacteristic
493Dic3⋊C8C2311yescharacteristic
494Dic3⋊C8C2311yescharacteristic
495C8×Dic3C2311yescharacteristic
496C8×Dic3C2311yescharacteristic
497C8×Dic3C2311yescharacteristic
498#810C2311yescharacteristic
499#810C2311yescharacteristic
500#809C2311yescharacteristic
501#809C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506#803C2311yescharacteristic
507#803C2311yescharacteristic
508C4×C3⋊C8C2311yescharacteristic
509C4×C3⋊C8C2311yescharacteristic
510#563—61no—
511#563—61no—
512#562—61no—
513#562—61no—
514#559—31no—
515#559—61no—
516Q82—31no—
517#557—31no—
518#555—31no—
519#554—31no—
520#554—31no—
521#554—61no—
522#552—31no—
523#552—31no—
524#552—61no—
525#550—31no—
526D4×Q8—31no—
527#548—31no—
528#548—31no—
529#547—31no—
530#547—31no—
531#547—31no—
532#547—31no—
533#547—61no—
534#544—31no—
535#544—31no—
536#544—61no—
537#542—31no—
538#542—31no—
539#542—31no—
540#542—61no—
541#542—61no—
542#542C2×D311yescharacteristic
543#540—61no—
544#539—61no—
545#539—61no—
546#536—31no—
547#536—61no—
548#536—61no—
549#536C2×D311yescharacteristic
550#533—31no—
551#532—31no—
552C2×C4⋊Q8—31no—
553#529—31no—
554#529—31no—
555#501—31no—
556#500—31no—
557#500—31no—
558#497C2×D311yescharacteristic
559#495—31no—
560#495C2×D311yescharacteristic
561#491—31no—
562#491—31no—
563#491—31no—
564#489—31no—
565#489—31no—
566#489—31no—
567#489—31no—
568#489—31no—
569#489—31no—
570#489C2×D311yescharacteristic
571#488—31no—
572#488—31no—
573#488—31no—
574#488—31no—
575#487—31no—
576#487—31no—
577#487—31no—
578#487—31no—
579#487—31no—
580#487C2×D311yescharacteristic
581#486—31no—
582#486—31no—
583#485—31no—
584#485—31no—
585#484—31no—
586#484—31no—
587#484—31no—
588#484—31no—
589#484—31no—
590#484—31no—
591#482—31no—
592#482—31no—
593#480—31no—
594#480—31no—
595#479—31no—
596#479—31no—
597#478—31no—
598#478—31no—
599#477—31no—
600#477—31no—
601#477—31no—
602#477—31no—
603#477—31no—
604#477—31no—
605#474—31no—
606#474—31no—
607#470—31no—
608#470—31no—
609#468—31no—
610#468—31no—
611#468—31no—
612#468—31no—
613#468—31no—
614#468—31no—
615#467—31no—
616#467—31no—
617#466—31no—
618#466—31no—
619#464—31no—
620#464C2×D311yescharacteristic
621#463—31no—
622#463C2×D311yescharacteristic
623#462—31no—
624#462—31no—
625#462C2×D311yescharacteristic
626#461—31no—
627#461—31no—
628#461C2×D311yescharacteristic
629#460—31no—
630#459—31no—
631#452—31no—
632#452—31no—
633#452—31no—
634#452C2×D311yescharacteristic
635#451—31no—
636#451C2×D311yescharacteristic
637#449—31no—
638#449—31no—
639#449—31no—
640#449C2×D311yescharacteristic
641#448—31no—
642#448C2×D311yescharacteristic
643#446—31no—
644C8×Q8—31no—
645#440—31no—
646#440—31no—
647#440—31no—
648#440—31no—
649C4×Q16—31no—
650C4×Q16—31no—
651C4×Q16—31no—
652C4×Q16—31no—
653C4×SD16—31no—
654C4×SD16—31no—
655C4×D8—31no—
656C4×D8—31no—
657#436—31no—
658#436—31no—
659#436—31no—
660#435—31no—
661#435—31no—
662C8×D4—31no—
663#433—31no—
664#433C2×D311yescharacteristic
665#431—31no—
666#419—31no—
667#419—31no—
668#417—31no—
669#417—31no—
670#417—31no—
671#417—31no—
672#417—31no—
673#417—31no—
674#416—31no—
675#416—31no—
676C2×#103—31no—
677C2×#103—31no—
678#405—31no—
679#405—31no—
680C4×M16—31no—
681C3×#41—41no—
682C3×#41—41no—
683C2×C3×Q8—21no—
684C2×C3×Q8—21no—
685C2×C3×Q8—41no—
686C2×C3×Q8—41no—
687C2×C3×Q8C2411yescharacteristic
688C2×C3×Q8C2411yescharacteristic
689C2×C3×Q8C2411yescharacteristic
690C2×C3×Q8C2411yescharacteristic
691C2×C3×D4—21no—
692C2×C3×D4—21no—
693C2×C3×D4C2411yescharacteristic
694C2×C3×D4C2411yescharacteristic
695C22×C3×C4—21no—
696C22×C3×C4—21no—
697C22×C3×C4—21no—
698C22×C3×C4C2411yescharacteristic
699C2×#67—21no—
700C2×#67—21no—
701C2×#67—21no—
702C2×#67—21no—
703C2×#67—21no—
704C2×#67—21no—
705C2×#67—21no—
706C2×#67C2×D411yescharacteristic
707C2×#67C2×D411yescharacteristic
708C22×Dic3—21no—
709C22×Dic3—21no—
710C22×Dic3—21no—
711C22×Dic3—21no—
712C22×Dic3—21no—
713#239—41no—
714#239—41no—
715#239—41no—
716#239—41no—
717D3×Q8—41no—
718D3×Q8—41no—
719D3×Q8—82no—
720#237—41no—
721#237—41no—
722#237—82no—
723#235—82no—
724C2×D12—21no—
725C2×D12—21no—
726C2×D12C2×D411yescharacteristic
727C2×D12C2411yescharacteristic
728C2×C4×D3—21no—
729C2×C4×D3—21no—
730C2×C4×D3—21no—
731C2×C4×D3—21no—
732C2×C4×D3—21no—
733C2×C4×D3—21no—
734C2×C4×D3—21no—
735C2×C4×D3C2×D411yescharacteristic
736C2×C4×D3C2×D411yescharacteristic
737C2×C4×D3C2411yescharacteristic
738C2×C4×D3C2411yescharacteristic
739C2×Dic6—21no—
740C2×Dic6—21no—
741C2×Dic6—21no—
742C2×Dic6—21no—
743C2×Dic6—21no—
744C2×Dic6—21no—
745C2×Dic6—21no—
746C2×Dic6C2×D411yescharacteristic
747C2×Dic6C2411yescharacteristic
748C3×Q16—41no—
749C3×Q16—41no—
750C3×Q16—41no—
751C3×SD16—41no—
752C3×SD16—41no—
753C3×SD16—41no—
754C3×SD16—41no—
755C3×D8—41no—
756C2×C3×C8C2411yescharacteristic
757C2×C3×C8C2411yescharacteristic
758C2×C3×C8C2411yescharacteristic
759C2×C3×C8C2411yescharacteristic
760C3×C4⋊C4—21no—
761C3×C4⋊C4—21no—
762C3×C4⋊C4—21no—
763C3×C4⋊C4—21no—
764C3×C4⋊C4—21no—
765C3×C4⋊C4—21no—
766C3×C4⋊C4—21no—
767C3×C4⋊C4C2×D411yescharacteristic
768C3×C4⋊C4C2×D411yescharacteristic
769C3×C4⋊C4C2411yescharacteristic
770C3×C4⋊C4C2411yescharacteristic
771C3×C22⋊C4—21no—
772C3×C22⋊C4—21no—
773C3×C22⋊C4—21no—
774C3×C22⋊C4—21no—
775C3×C22⋊C4—21no—
776C3×C22⋊C4—21no—
777C3×C22⋊C4—21no—
778C3×C22⋊C4—21no—
779C3×C22⋊C4—21no—
780C3×C22⋊C4C2×D411yescharacteristic
781C3×C22⋊C4C2×D411yescharacteristic
782C3×C42—21no—
783C3×C42C2411yescharacteristic
784C3×C42C2411yescharacteristic
785#217—21no—
786#217—21no—
787#217—21no—
788#217—21no—
789#217—21no—
790#217—21no—
791#217—21no—
792#217—21no—
793#217C2×D411yescharacteristic
794#217C2×D411yescharacteristic
795#216—41no—
796#215—41no—
797#214—41no—
798#213—41no—
799(C2×D3)⋊C4—21no—
800(C2×D3)⋊C4—21no—
801(C2×D3)⋊C4—21no—
802(C2×D3)⋊C4—21no—
803(C2×D3)⋊C4—21no—
804(C2×D3)⋊C4—21no—
805(C2×D3)⋊C4—21no—
806(C2×D3)⋊C4—21no—
807(C2×D3)⋊C4—21no—
808(C2×D3)⋊C4—21no—
809(C2×D3)⋊C4—21no—
810(C2×D3)⋊C4—21no—
811(C2×D3)⋊C4C2×D411yescharacteristic
812(C2×D3)⋊C4C2×D411yescharacteristic
813(C2×D3)⋊C4C2×D411yescharacteristic
814(C2×D3)⋊C4C2×D411yescharacteristic
815(C2×D3)⋊C4C2×D411yescharacteristic
816(C2×D3)⋊C4C2×D411yescharacteristic
817C4⋊Dic3—21no—
818C4⋊Dic3—21no—
819C4⋊Dic3—21no—
820C4⋊Dic3—21no—
821C4⋊Dic3—21no—
822C4⋊Dic3—21no—
823C4⋊Dic3—21no—
824C4⋊Dic3—21no—
825C4⋊Dic3—21no—
826C4⋊Dic3—21no—
827C4⋊Dic3C2×D411yescharacteristic
828C4⋊Dic3C2×D411yescharacteristic
829C4⋊Dic3C2411yescharacteristic
830C4⋊Dic3C2411yescharacteristic
831C4⋊Dic3C2411yescharacteristic
832C4⋊Dic3C2411yescharacteristic
833C4⋊Dic3C2411yescharacteristic
834C4⋊Dic3C2411yescharacteristic
835Dic3⋊C4—21no—
836Dic3⋊C4—21no—
837Dic3⋊C4—21no—
838Dic3⋊C4—21no—
839Dic3⋊C4—21no—
840Dic3⋊C4—21no—
841Dic3⋊C4—21no—
842Dic3⋊C4—21no—
843Dic3⋊C4—21no—
844Dic3⋊C4—21no—
845Dic3⋊C4—21no—
846Dic3⋊C4—21no—
847Dic3⋊C4—21no—
848Dic3⋊C4—21no—
849Dic3⋊C4—21no—
850Dic3⋊C4—21no—
851Dic3⋊C4—21no—
852Dic3⋊C4—21no—
853Dic3⋊C4—21no—
854Dic3⋊C4—21no—
855Dic3⋊C4—21no—
856Dic3⋊C4—21no—
857Dic3⋊C4C2×D411yescharacteristic
858Dic3⋊C4C2×D411yescharacteristic
859Dic3⋊C4C2×D411yescharacteristic
860Dic3⋊C4C2×D411yescharacteristic
861Dic3⋊C4C2×D411yescharacteristic
862Dic3⋊C4C2×D411yescharacteristic
863C4×Dic3—21no—
864C4×Dic3—21no—
865C4×Dic3—21no—
866C4×Dic3—21no—
867C4×Dic3—21no—
868C4×Dic3—21no—
869C4×Dic3—21no—
870C4×Dic3—21no—
871C4×Dic3C2×D411yescharacteristic
872C4×Dic3C2×D411yescharacteristic
873C4×Dic3C2411yescharacteristic
874C4×Dic3C2411yescharacteristic
875#208—41no—
876C2×C3⋊C8—41no—
877C2×C3⋊C8C2411yescharacteristic
878C2×C3⋊C8C2411yescharacteristic
879C2×C3⋊C8C2411yescharacteristic
880C2×C3⋊C8C2411yescharacteristic
881ΓL(1,𝔽25)—41no—
882ΓL(1,𝔽25)—41no—
883ΓL(1,𝔽25)—41no—
884D3×C8—41no—
885C2×#41—31no—
886C2×#41—31no—
887C2×#41—31no—
888C2×#41—61no—
889C2×#41—61no—
890C2×#41C22×D311yescharacteristic
891C22×Q8—31no—
892C22×Q8—61no—
893C22×Q8C22×D311yescharacteristic
894C2×Q16—31no—
895C2×Q16C22×D311yescharacteristic
896C2×Q16C22×D311yescharacteristic
897C2×Q16C22×D311yescharacteristic
898C2×SD16—31no—
899C2×SD16—31no—
900C2×SD16C22×D311yescharacteristic
901C2×SD16C22×D311yescharacteristic
902C2×SD16C22×D311yescharacteristic
903C2×SD16C22×D311yescharacteristic
904C2×D8—31no—
905C2×D8C22×D311yescharacteristic
906C2×M16—31no—
907C2×M16—31no—
908C2×M16—31no—
909C2×M16—31no—
910C22×C8—31no—
911C22×C8—31no—
912C4⋊Q8—31no—
913C4⋊Q8—31no—
914C4⋊Q8—31no—
915C4⋊Q8—31no—
916C4⋊Q8—31no—
917C4⋊Q8—31no—
918C4⋊Q8—31no—
919C4⋊Q8—31no—
920C4⋊Q8—61no—
921C4⋊Q8—61no—
922C4⋊Q8—61no—
923C4⋊Q8—61no—
924C4⋊Q8—61no—
925C4⋊Q8—61no—
926C4⋊Q8—61no—
927C4⋊Q8—61no—
928C4⋊Q8C22×D311yescharacteristic
929C4⋊Q8C22×D311yescharacteristic
930C4⋊Q8C22×D311yescharacteristic
931#127—31no—
932#127—61no—
933#126—21no—
934#126—31no—
935#126—31no—
936#126—61no—
937#126—61no—
938#126—61no—
939#126—61no—
940#126—61no—
941#126—61no—
942#125—31no—
943#125—31no—
944#125—31no—
945#125—31no—
946#125—61no—
947#125—61no—
948#125—61no—
949#125—61no—
950#125—61no—
951#125—61no—
952#125—61no—
953#125—61no—
954#125—61no—
955#124—21no—
956#124—31no—
957#124—31no—
958#124—31no—
959#124—61no—
960#124—61no—
961#124—61no—
962#124—61no—
963#124—61no—
964#124—61no—
965#124—61no—
966#124—61no—
967#124C22×D311yescharacteristic
968#124C22×D311yescharacteristic
969#124C22×D311yescharacteristic
970#123—21no—
971#123—21no—
972#123—21no—
973#123—31no—
974#123—31no—
975#123—61no—
976#123—61no—
977#123—61no—
978#123—61no—
979#123—61no—
980#123—61no—
981#123—61no—
982#123—61no—
983#123—61no—
984#123—61no—
985#123—61no—
986#123—61no—
987#123—61no—
988#123—61no—
989#123—61no—
990#123—61no—
991#123—61no—
992#123—61no—
993C22⋊Q8—21no—
994C22⋊Q8—21no—
995C22⋊Q8—21no—
996C22⋊Q8—31no—
997C22⋊Q8—31no—
998C22⋊Q8—31no—
999C22⋊Q8—31no—
1000C22⋊Q8—31no—
1001C22⋊Q8—31no—
1002C22⋊Q8—31no—
1003C22⋊Q8—61no—
1004C22⋊Q8—61no—
1005C22⋊Q8—61no—
1006C22⋊Q8—61no—
1007C22⋊Q8—61no—
1008C22⋊Q8—61no—
1009C22⋊Q8—61no—
1010C22⋊Q8—61no—
1011C22⋊Q8—61no—
1012C22⋊Q8—61no—
1013C22⋊Q8—61no—
1014C22⋊Q8—61no—
1015C22⋊Q8—61no—
1016C22⋊Q8—61no—
1017C22⋊Q8—61no—
1018C22⋊Q8—61no—
1019C22⋊Q8—61no—
1020C22⋊Q8—61no—
1021C22⋊Q8—61no—
1022C22⋊Q8—61no—
1023C22⋊Q8—61no—
1024C22⋊Q8C22×D311yescharacteristic
1025#121—31no—
1026#121—31no—
1027#121—31no—
1028#121—31no—
1029#121—31no—
1030#121—61no—
1031#121—61no—
1032#121—61no—
1033#121—61no—
1034#121—61no—
1035#121—61no—
1036#121—61no—
1037#121—61no—
1038#121—61no—
1039#121C22×D311yescharacteristic
1040C4×Q8—31no—
1041C4×Q8—31no—
1042C4×Q8—31no—
1043C4×Q8—31no—
1044C4×Q8—31no—
1045C4×Q8—31no—
1046C4×Q8—31no—
1047C4×Q8—61no—
1048C4×Q8—61no—
1049C4×Q8—61no—
1050C4×Q8C22×D311yescharacteristic
1051C4×D4—31no—
1052C4×D4—31no—
1053C4×D4—31no—
1054C4×D4—31no—
1055C4×D4—31no—
1056C4×D4—31no—
1057C4×D4—31no—
1058C4×D4—61no—
1059C4×D4—61no—
1060C4×D4—61no—
1061C4×D4—61no—
1062C4×D4—61no—
1063C4×D4—61no—
1064C4×D4—61no—
1065C4×D4—61no—
1066C4×D4—61no—
1067C4×D4C22×D311yescharacteristic
1068#117—31no—
1069#117—31no—
1070#117—31no—
1071#117—61no—
1072#117—61no—
1073#117—61no—
1074#117—61no—
1075#117—61no—
1076#117C22×D311yescharacteristic
1077C2×C4⋊C4—31no—
1078C2×C4⋊C4—31no—
1079C2×C4⋊C4—31no—
1080C2×C4⋊C4—31no—
1081C2×C4⋊C4—61no—
1082C2×C4⋊C4—61no—
1083C2×C4⋊C4—61no—
1084C2×C4⋊C4—61no—
1085C2×C42—31no—
1086#107—31no—
1087#107—31no—
1088#107—31no—
1089#107—31no—
1090#107—31no—
1091#107—31no—
1092#107—31no—
1093#107—31no—
1094#107—31no—
1095#107—31no—
1096#106—31no—
1097#106—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8C22×D311yescharacteristic
1103C4⋊C8C22×D311yescharacteristic
1104#103—31no—
1105#103—31no—
1106#103—31no—
1107#103—31no—
1108#103—31no—
1109#103—31no—
1110#103—31no—
1111#103—31no—
1112#103—31no—
1113#103—31no—
1114#103—31no—
1115#103—31no—
1116#103—31no—
1117#103—31no—
1118#103—31no—
1119#103—31no—
1120#103—31no—
1121#103—31no—
1122#103—31no—
1123#103—31no—
1124#103C22×D311yescharacteristic
1125#103C22×D311yescharacteristic
1126#103C22×D311yescharacteristic
1127#103C22×D311yescharacteristic
1128#103C22×D311yescharacteristic
1129#103C22×D311yescharacteristic
1130#102—31no—
1131#102—31no—
1132#102—31no—
1133#102—31no—
1134#102—31no—
1135#102—31no—
1136#102—31no—
1137#102—31no—
1138#102—31no—
1139#102—31no—
1140#102—31no—
1141#102—31no—
1142#102C22×D311yescharacteristic
1143#102C22×D311yescharacteristic
1144C22⋊C8—31no—
1145C22⋊C8—31no—
1146C22⋊C8—31no—
1147C22⋊C8—31no—
1148C22⋊C8C22×D311yescharacteristic
1149C22⋊C8C22×D311yescharacteristic
1150#97—31no—
1151#97—31no—
1152#97—31no—
1153#97C22×D311yescharacteristic
1154C4×C8—31no—
1155C4×C8—31no—
1156C4×C8—31no—
1157C4×C8—31no—
1158C4×C8—31no—
1159C4×C8C22×D311yescharacteristic
1160C23×C3—21no—
1161C23×C3—21no—
1162C23×C3C22×D411yescharacteristic
1163C22×D3—21no—
1164C22×D3C22×D411yescharacteristic
1165C22×D3C22×D411yescharacteristic
1166C3×Q8—21no—
1167C3×Q8—21no—
1168C3×Q8—21no—
1169C3×Q8—21no—
1170C3×Q8—21no—
1171C3×Q8—21no—
1172C3×Q8—21no—
1173C3×Q8—21no—
1174C3×Q8—81no—
1175C3×Q8—81no—
1176C3×D4—21no—
1177C3×D4—21no—
1178C3×D4—21no—
1179C3×D4—21no—
1180C3×D4—81no—
1181C3×D4—81no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—81no—
1191C2×C3×C4—81no—
1192C2×C3×C4—81no—
1193C2×C3×C4C22×D411yescharacteristic
1194C2×C3×C4C22×D411yescharacteristic
1195C2×C3×C4C22×D411yescharacteristic
1196C2×C3×C4C22×D411yescharacteristic
1197C2×C3×C4C22×D411yescharacteristic
1198C2×C3×C4C2511yescharacteristic
1199#67—22no—
1200#67—41no—
1201#67—42no—
1202#67—42no—
1203#67—81no—
1204#67—81no—
1205#67—81no—
1206#67—81no—
1207#67—81no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—42no—
1216C2×Dic3—81no—
1217C2×Dic3—81no—
1218C2×Dic3—81no—
1219C2×Dic3—81no—
1220C2×Dic3C22×D411yescharacteristic
1221C2×Dic3C22×D411yescharacteristic
1222C2×Dic3C22×D411yescharacteristic
1223C2×Dic3C22×D411yescharacteristic
1224C2×Dic3C22×D411yescharacteristic
1225C2×Dic3C22×D411yescharacteristic
1226D12—21no—
1227D12—21no—
1228D12—41no—
1229D12—81no—
1230D12—81no—
1231C4×D3—21no—
1232C4×D3—21no—
1233C4×D3—21no—
1234C4×D3—21no—
1235C4×D3—22no—
1236C4×D3—41no—
1237C4×D3—42no—
1238C4×D3—42no—
1239C4×D3—81no—
1240C4×D3—81no—
1241C4×D3—81no—
1242C4×D3—81no—
1243C4×D3—81no—
1244Dic6—22no—
1245Dic6—21no—
1246Dic6—21no—
1247Dic6—81no—
1248Dic6—81no—
1249Dic6—81no—
1250Dic6—81no—
1251Dic6—81no—
1252Dic6—81no—
1253Dic6—81no—
1254C3×C8—21no—
1255C3×C8—21no—
1256C3×C8—21no—
1257C3×C8—21no—
1258C3⋊C8—21no—
1259C3⋊C8—21no—
1260C3⋊C8—21no—
1261C3⋊C8—21no—
1262#41—41no—
1263#41—41no—
1264#41—121no—
1265#41—121no—
1266#41—121no—
1267#41—121no—
1268#41—121no—
1269#41—121no—
1270#41—242no—
1271#41—242no—
1272C2×Q8—21no—
1273C2×Q8—21no—
1274C2×Q8—31no—
1275C2×Q8—31no—
1276C2×Q8—41no—
1277C2×Q8—41no—
1278C2×Q8—61no—
1279C2×Q8—61no—
1280C2×Q8—61no—
1281C2×Q8—61no—
1282C2×Q8—61no—
1283C2×Q8—61no—
1284C2×Q8—61no—
1285C2×Q8—121no—
1286C2×Q8—121no—
1287C2×Q8—242no—
1288C2×Q8C23×D311yescharacteristic
1289C2×Q8C23×D311yescharacteristic
1290C2×Q8C23×D311yescharacteristic
1291C2×Q8C23×D311yescharacteristic
1292C2×D4—21no—
1293C2×D4—21no—
1294C2×D4—31no—
1295C2×D4—31no—
1296C2×D4—31no—
1297C2×D4—31no—
1298C2×D4—61no—
1299C2×D4—61no—
1300C2×D4—61no—
1301C2×D4—61no—
1302C2×D4—61no—
1303C2×D4—61no—
1304C2×D4—61no—
1305C2×D4—61no—
1306C2×D4—61no—
1307C2×D4C23×D311yescharacteristic
1308C2×D4C23×D311yescharacteristic
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—31no—
1316C22×C4—61no—
1317C22×C4—61no—
1318C22×C4—61no—
1319C22×C4—61no—
1320C22×C4—61no—
1321C22×C4—61no—
1322C22×C4—61no—
1323C22×C4—61no—
1324C22×C4—61no—
1325C22×C4—61no—
1326C22×C4—61no—
1327C22×C4—61no—
1328C22×C4C23×D311yescharacteristic
1329Q16—41no—
1330Q16—41no—
1331Q16—41no—
1332Q16—121no—
1333SD16—41no—
1334SD16—41no—
1335SD16—41no—
1336SD16—41no—
1337SD16—121no—
1338SD16—121no—
1339D8—41no—
1340D8—121no—
1341M16—121no—
1342M16—121no—
1343M16—121no—
1344M16—121no—
1345C2×C8—31no—
1346C2×C8—31no—
1347C2×C8—31no—
1348C2×C8—31no—
1349C2×C8—121no—
1350C2×C8—121no—
1351C2×C8C23×D311yescharacteristic
1352C2×C8C23×D311yescharacteristic
1353C2×C8C23×D311yescharacteristic
1354C2×C8C23×D311yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—31no—
1363C4⋊C4—31no—
1364C4⋊C4—31no—
1365C4⋊C4—31no—
1366C4⋊C4—31no—
1367C4⋊C4—31no—
1368C4⋊C4—31no—
1369C4⋊C4—31no—
1370C4⋊C4—31no—
1371C4⋊C4—31no—
1372C4⋊C4—31no—
1373C4⋊C4—31no—
1374C4⋊C4—31no—
1375C4⋊C4—31no—
1376C4⋊C4—61no—
1377C4⋊C4—61no—
1378C4⋊C4—61no—
1379C4⋊C4—61no—
1380C4⋊C4—61no—
1381C4⋊C4—61no—
1382C4⋊C4—61no—
1383C4⋊C4—61no—
1384C4⋊C4—61no—
1385C4⋊C4—61no—
1386C4⋊C4—61no—
1387C4⋊C4—61no—
1388C4⋊C4—61no—
1389C4⋊C4—61no—
1390C4⋊C4—61no—
1391C4⋊C4—61no—
1392C4⋊C4—61no—
1393C4⋊C4—61no—
1394C4⋊C4—61no—
1395C4⋊C4—61no—
1396C4⋊C4—61no—
1397C4⋊C4—61no—
1398C4⋊C4—61no—
1399C4⋊C4—61no—
1400C4⋊C4—61no—
1401C4⋊C4—61no—
1402C4⋊C4—61no—
1403C4⋊C4—61no—
1404C4⋊C4—61no—
1405C4⋊C4—61no—
1406C4⋊C4—61no—
1407C4⋊C4—61no—
1408C4⋊C4D3×D411yescharacteristic
1409C4⋊C4D3×D411yescharacteristic
1410C4⋊C4C23×D311yescharacteristic
1411C4⋊C4C23×D311yescharacteristic
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—31no—
1422C22⋊C4—31no—
1423C22⋊C4—31no—
1424C22⋊C4—31no—
1425C22⋊C4—31no—
1426C22⋊C4—31no—
1427C22⋊C4—31no—
1428C22⋊C4—31no—
1429C22⋊C4—61no—
1430C22⋊C4—61no—
1431C22⋊C4—61no—
1432C22⋊C4—61no—
1433C22⋊C4—61no—
1434C22⋊C4—61no—
1435C22⋊C4—61no—
1436C22⋊C4—61no—
1437C22⋊C4—61no—
1438C22⋊C4—61no—
1439C22⋊C4—61no—
1440C22⋊C4—61no—
1441C22⋊C4—61no—
1442C22⋊C4—61no—
1443C22⋊C4—61no—
1444C22⋊C4—61no—
1445C22⋊C4—61no—
1446C22⋊C4—61no—
1447C22⋊C4—61no—
1448C22⋊C4—61no—
1449C22⋊C4D3×D411yescharacteristic
1450C22⋊C4D3×D411yescharacteristic
1451C42—21no—
1452C42—31no—
1453C42—31no—
1454C42—31no—
1455C42—31no—
1456C42—61no—
1457C42—61no—
1458C42—61no—
1459C42—61no—
1460C42—61no—
1461C42—61no—
1462C42—61no—
1463C42—61no—
1464C42C23×D311yescharacteristic
1465C42C23×D311yescharacteristic
1466C22×C3—21no—
1467C22×C3—21no—
1468C22×C3—21no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3C23×D411yescharacteristic
1476C2×D3—21no—
1477C2×D3—21no—
1478C2×D3—21no—
1479C2×D3—21no—
1480C2×D3—21no—
1481C2×D3—21no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C3×C4—21no—
1486C3×C4—21no—
1487C3×C4—21no—
1488C3×C4—21no—
1489C3×C4—21no—
1490C3×C4—41no—
1491C3×C4—41no—
1492C3×C4—41no—
1493C3×C4—41no—
1494C3×C4—41no—
1495C3×C4—41no—
1496C3×C4#58511yescharacteristic
1497C3×C4#58511yescharacteristic
1498Dic3—21no—
1499Dic3—21no—
1500Dic3—21no—
1501Dic3—21no—
1502Dic3—21no—
1503Dic3—41no—
1504Dic3—41no—
1505Dic3—41no—
1506Dic3—41no—
1507Dic3—41no—
1508Dic3—41no—
1509Dic3—41no—
1510Dic3#57812yes—
1511C23—21no—
1512C23—21no—
1513C23—31no—
1514C23—31no—
1515C23—61no—
1516C23C2×D3×D411yescharacteristic
1517Q8—21no—
1518Q8—21no—
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—62no—
1526Q8—61no—
1527Q8—61no—
1528Q8—81no—
1529Q8—81no—
1530Q8—241no—
1531Q8—241no—
1532Q8—241no—
1533Q8—241no—
1534Q8—241no—
1535Q8—241no—
1536Q8—241no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—62no—
1542D4—61no—
1543D4—61no—
1544D4—81no—
1545D4—81no—
1546D4—121no—
1547D4—122no—
1548D4—121no—
1549D4—122no—
1550D4—241no—
1551D4—241no—
1552D4—241no—
1553D4—241no—
1554D4—241no—
1555D4—241no—
1556D4—241no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—31no—
1566C2×C4—31no—
1567C2×C4—31no—
1568C2×C4—31no—
1569C2×C4—31no—
1570C2×C4—31no—
1571C2×C4—62no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—121no—
1587C2×C4—122no—
1588C2×C4—122no—
1589C2×C4—122no—
1590C2×C4—241no—
1591C2×C4—241no—
1592C2×C4—241no—
1593C2×C4—241no—
1594C2×C4—241no—
1595C2×C4—241no—
1596C2×C4—241no—
1597C2×C4—241no—
1598C2×C4—241no—
1599C2×C4C2×D3×D411yescharacteristic
1600C2×C4C2×D3×D411yescharacteristic
1601C2×C4C2×D3×D411yescharacteristic
1602C2×C4C2×D3×D411yescharacteristic
1603C2×C4C2×D3×D411yescharacteristic
1604C2×C4C24×D311yescharacteristic
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C8—21no—
1609C8—61no—
1610C8—61no—
1611C8—61no—
1612C8—61no—
1613C2×C3—41no—
1614C2×C3—81no—
1615C2×C3—81no—
1616C2×C3#350011yescharacteristic
1617C2×C3C2×#57811yescharacteristic
1618C2×C3#358511yescharacteristic
1619D3—41no—
1620D3—41no—
1621D3—81no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—61no—
1632C22—61no—
1633C22—61no—
1634C22—61no—
1635C22—61no—
1636C22—61no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22C22×D3×D411yescharacteristic
1641C4—21no—
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—32no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—61no—
1654C4—61no—
1655C4—61no—
1656C4—61no—
1657C4—61no—
1658C4—121no—
1659C4—121no—
1660C4—121no—
1661C4—121no—
1662C4—121no—
1663C4—121no—
1664C4—121no—
1665C4#596611yescharacteristic
1666C4#596611yescharacteristic
1667C3#6261911yescharacteristic, complemented, Sylow
1668C2—41no—
1669C2—81no—
1670C2—81no—
1671C2—121no—
1672C2—121no—
1673C2—241no—
1674C2#8631711yescharacteristic
1675C2#8720711yescharacteristic
1676C2D3×#57811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3225C2
socleC22×C3C23×D4
hypercenter#3225D3
hypocenterC3#62619
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #86564C2semidirect
2. #86351C2semidirect
3. C3×#3225C2semidirect
4. #83457C2semidirect
5. #83401C2semidirect
6. #81880C2semidirect
7. #81861C2semidirect
8. #81826C2semidirect
9. #81811C2semidirect
10. #81694C2semidirect
11. #81683C2semidirect
12. #81608C2semidirect
13. #81599C2semidirect
14. #80622C2semidirect
15. #80585C2semidirect
16. #80562C2semidirect
17. #80517C2semidirect
18. #80494C2semidirect
19. #80462C2semidirect
20. #80455C2semidirect
21. #80418C2semidirect
22. #80261C2semidirect
23. #80253C2semidirect
24. #80199C2semidirect
25. #80193C2semidirect
26. #80116C2semidirect
27. #80105C2semidirect
28. #80056C2semidirect
29. #80051C2semidirect
30. #79369C2semidirect
31. #79364C2semidirect
226. #3225D3semidirect
1667. C3#62619semidirect

Maximal subgroups

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

subgroupindex
#865642
#863512
C3×#32252
#834572
#834012
#818802
#818612
#818262
#818112
#816942
#816832
#816082
#815992
#806222
#805852
#805622
#805172
#804942
#804622
#804552
#804182
#802612
#802532
#801992
#801932
#801162
#801052
#800562
#800512
#793692
#793642
#626193