Finite Group Databasebeta

← #11675437

Subgroups — #11675437

Order 768.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#87052C211yesmaximal, characteristic, complemented
2#86949C211yesmaximal, characteristic, complemented
3C3×#3361C211yesmaximal, characteristic, complemented
4#83714C211yesmaximal, characteristic, complemented
5#83645C211yesmaximal, characteristic, complemented
6#81661C211yesmaximal, characteristic, complemented
7#81660C211yesmaximal, characteristic, complemented
8#81640C211yesmaximal, characteristic, complemented
9#81639C211yesmaximal, characteristic, complemented
10#81587C211yesmaximal, characteristic, complemented
11#81563C211yesmaximal, characteristic, complemented
12#81168C211yesmaximal, characteristic, complemented
13#81165C211yesmaximal, characteristic, complemented
14#81154C211yesmaximal, characteristic, complemented
15#81150C211yesmaximal, characteristic, complemented
16#81110C211yesmaximal, characteristic, complemented
17#81100C211yesmaximal, characteristic, complemented
18#80537C211yesmaximal, characteristic, complemented
19D3×#463C211yesmaximal, characteristic, complemented
20#80521C211yesmaximal, characteristic, complemented
21#80516C211yesmaximal, characteristic, complemented
22#80334C211yesmaximal, characteristic
23#80322C211yesmaximal, characteristic, complemented
24#79926C211yesmaximal, characteristic, complemented
25#79918C211yesmaximal, characteristic, complemented
26#79649C211yesmaximal, characteristic, complemented
27#79630C211yesmaximal, characteristic, complemented
28#79588C211yesmaximal, characteristic, complemented
29C4×#911C211yesmaximal, characteristic, complemented
30#79572C211yesmaximal, characteristic, complemented
31#79571C211yesmaximal, characteristic, complemented
32#61343—31nomaximal, Sylow
33C3×#559C2211yescharacteristic, complemented
34C3×#554C2211yescharacteristic, complemented
35C2×D3×SD16C2211yescharacteristic
36C2×#911C2211yescharacteristic
37C2×D3×D8C2211yescharacteristic
38#5729C2211yescharacteristic
39#5727C2211yescharacteristic, complemented
40#5715C2211yescharacteristic
41#5713C2211yescharacteristic, complemented
42#5690C2211yescharacteristic, complemented
43#5690C2211yescharacteristic, complemented
44#5689C2211yescharacteristic
45#5688C2211yescharacteristic
46#5681C2211yescharacteristic, complemented
47#5679—21no—
48#5675C2211yescharacteristic
49D3×#124C2211yescharacteristic
50#5671C2211yescharacteristic, complemented
51#5669—21no—
52#5662—21no—
53#5659—21no—
54#5658—21no—
55#5649—21no—
56#5636—21no—
57#5636—21no—
58#5634—21no—
59#5634—21no—
60#5632—21no—
61D3×C22⋊Q8—21no—
62#5584C2211yescharacteristic, complemented
63#5579C2211yescharacteristic, complemented
64#5578C2211yescharacteristic
65#5572C2211yescharacteristic
66#5568C2211yescharacteristic, complemented
67#5559C2211yescharacteristic, complemented
68#5556—21no—
69#5545C2211yescharacteristic
70#5545C2211yescharacteristic
71#5545C2211yescharacteristic
72C4×D3×D4C2211yescharacteristic
73#5542C2211yescharacteristic, complemented
74#5539C2211yescharacteristic, complemented
75#5539C2211yescharacteristic, complemented
76#5538—21no—
77D4×Dic6C2211yescharacteristic, complemented
78C4×#237C2211yescharacteristic
79#5511—21no—
80C2×#896—21no—
81C3×#488C2211yescharacteristic, complemented
82C3×#488C2211yescharacteristic, complemented
83C3×#486C2211yescharacteristic, complemented
84C3×#478C2211yescharacteristic, complemented
85C3×#478C2211yescharacteristic, complemented
86C3×#477C2211yescharacteristic, complemented
87C3×#463C2211yescharacteristic
88C3×#463C2211yescharacteristic, complemented
89C3×#459C2211yescharacteristic
90C3×C8×Q8C2211yescharacteristic, complemented
91C3×C4×SD16C2211yescharacteristic, complemented
92C3×C4×D8C2211yescharacteristic
93C3×C4×D8C2211yescharacteristic, complemented
94#5165C2211yescharacteristic
95#5162C2211yescharacteristic, complemented
96Dic3×SD16C2211yescharacteristic, complemented
97#5153C2211yescharacteristic
98#5153C2211yescharacteristic
99#5153C2211yescharacteristic, complemented
100#5152C2211yescharacteristic, complemented
101#5150C2211yescharacteristic
102Dic3×D8C2211yescharacteristic
103#5094C2211yescharacteristic, complemented
104#5089C2211yescharacteristic, complemented
105#5072C2211yescharacteristic
106#5071C2211yescharacteristic, complemented
107#5069C2211yescharacteristic, complemented
108#5068C2211yescharacteristic, complemented
109#5066C2211yescharacteristic, complemented
110#5063C2211yescharacteristic, complemented
111#5057C2211yescharacteristic
112#5057C2211yescharacteristic, complemented
113#5056C2211yescharacteristic, complemented
114#5055C2211yescharacteristic, complemented
115#5026C2211yescharacteristic, complemented
116#5024C2211yescharacteristic, complemented
117#5022C2211yescharacteristic, complemented
118#5019C2211yescharacteristic, complemented
119#5018C2211yescharacteristic, complemented
120C4×#214C2211yescharacteristic, complemented
121#5016C2211yescharacteristic
122#5016C2211yescharacteristic
123#5014C2211yescharacteristic
124#5014C2211yescharacteristic
125C4×#213C2211yescharacteristic, complemented
126#5009C2211yescharacteristic, complemented
127#5007C2211yescharacteristic, complemented
128#4890C2211yescharacteristic, complemented
129#4889C2211yescharacteristic, complemented
130#4881C2211yescharacteristic
131#4880C2211yescharacteristic
132#4877C2211yescharacteristic, complemented
133#4875C2211yescharacteristic, complemented
134#4875C2211yescharacteristic, complemented
135#4872C2211yescharacteristic
136#4871C2211yescharacteristic, complemented
137#4860C2211yescharacteristic
138#4854C2211yescharacteristic, complemented
139#4852C2211yescharacteristic, complemented
140#4844C2211yescharacteristic
141#4844C2211yescharacteristic
142#4842C2211yescharacteristic, complemented
143#4841C2211yescharacteristic, complemented
144#4839C2211yescharacteristic
145#4839C2211yescharacteristic
146D3×C4⋊C8C2211yescharacteristic
147#4830C2211yescharacteristic, complemented
148#4829C2211yescharacteristic, complemented
149#4829C2211yescharacteristic, complemented
150#4828C2211yescharacteristic, complemented
151#4828C2211yescharacteristic, complemented
152#4819C2211yescharacteristic
153#4818C2211yescharacteristic, complemented
154#4817C2211yescharacteristic, complemented
155#4802C2211yescharacteristic
156#4802C2211yescharacteristic
157D3×#103C2211yescharacteristic
158#4797C2211yescharacteristic, complemented
159#4796C2211yescharacteristic, complemented
160#4794C2211yescharacteristic, complemented
161#4794C2211yescharacteristic, complemented
162#4792C2211yescharacteristic, complemented
163#4791C2211yescharacteristic, complemented
164#4787C2211yescharacteristic
165#4787C2211yescharacteristic
166#4787C2211yescharacteristic, complemented
167#4786C2211yescharacteristic
168#4785C2211yescharacteristic
169#4785C2211yescharacteristic
170#4785C2211yescharacteristic, complemented
171#4772C2211yescharacteristic
172#4772C2211yescharacteristic
173#4771C2211yescharacteristic
174#4770C2211yescharacteristic
175#4770C2211yescharacteristic
176#4770C2211yescharacteristic
177D3×#102C2211yescharacteristic
178#4768C2211yescharacteristic, complemented
179#4768C2211yescharacteristic, complemented
180#4765C2211yescharacteristic, complemented
181#4765C2211yescharacteristic, complemented
182#4765C2211yescharacteristic, complemented
183#4765C2211yescharacteristic, complemented
184#4764C2211yescharacteristic, complemented
185#4763C2211yescharacteristic, complemented
186#4761C2211yescharacteristic, complemented
187#4761C2211yescharacteristic, complemented
188#4760C2211yescharacteristic, complemented
189#4759C2211yescharacteristic, complemented
190#4757C2211yescharacteristic, complemented
191#4757C2211yescharacteristic, complemented
192#4697C2211yescharacteristic, complemented
193#4697C2211yescharacteristic, complemented
194C4×D24C2211yescharacteristic
195C4×#204C2211yescharacteristic, complemented
196C4×#204C2211yescharacteristic, complemented
197#4689C2211yescharacteristic
198#4689C2211yescharacteristic
199C4×ΓL(1,𝔽25)C2211yescharacteristic
200#4681C2211yescharacteristic, complemented
201#4679C2211yescharacteristic, complemented
202#4679C2211yescharacteristic, complemented
203#4679C2211yescharacteristic, complemented
204#3510—31no—
205#3501—31no—
206#3376—31no—
207#3376—31no—
208#3376—31no—
209#3376—31no—
210#3373—31no—
211#3373—31no—
212#3370—31no—
213#3370—31no—
214#3370—31no—
215#3370—31no—
216#3367—31no—
217#3367—31no—
218#3361—31no—
219#3361D311yescharacteristic, complemented
220#3360—31no—
221#3360—31no—
222#3140—31no—
223#3137—31no—
224#3136—31no—
225#3082—31no—
226#3081—31no—
227#3076—31no—
228#3042—31no—
229#3041—31no—
230C2×#463—31no—
231#2962—31no—
232#2949—31no—
233#2948—31no—
234C4×AGL(1,ℤ/8)—31no—
235C2×D3×Q8—21no—
236C2×D3×Q8C2311yescharacteristic
237C2×#237C2311yescharacteristic
238C2×D3×D4C2311yescharacteristic
239C2×D3×D4C2311yescharacteristic
240C22×C4×D3—21no—
241C22×Dic6—21no—
242C2×C3×SD16C2311yescharacteristic
243C2×C3×D8C2311yescharacteristic
244C2×C3×D8C2311yescharacteristic
245C3×C4⋊Q8C2311yescharacteristic
246C3×#127C2311yescharacteristic
247C3×#125C2311yescharacteristic
248C3×#125C2311yescharacteristic
249C3×#124—21no—
250C3×#124C2311yescharacteristic
251C3×#124C2311yescharacteristic
252C3×#123—21no—
253C3×#123—21no—
254C3×C22⋊Q8—21no—
255C3×C22⋊Q8—21no—
256C3×C22⋊Q8—21no—
257C3×C4×Q8C2311yescharacteristic
258C3×C4×Q8C2311yescharacteristic
259C3×C4×D4—21no—
260C3×C4×D4C2311yescharacteristic
261C3×C4×D4C2311yescharacteristic
262C3×C4×D4C2311yescharacteristic
263C3×C4×D4C2311yescharacteristic
264C3×C4×D4C2311yescharacteristic
265C2×C3×C4⋊C4—21no—
266#947C2311yescharacteristic
267#946—21no—
268#946—21no—
269#946—21no—
270#946—21no—
271#946D411yescharacteristic
272Q8×Dic3C2311yescharacteristic
273#944—21no—
274#944D411yescharacteristic
275#944C2311yescharacteristic
276C2×#215C2311yescharacteristic
277#940C2311yescharacteristic
278#939—21no—
279#939—21no—
280#937—21no—
281#937—21no—
282#936—21no—
283#936C2311yescharacteristic
284#936C2311yescharacteristic
285#936C2311yescharacteristic
286#935—21no—
287#935—21no—
288D4×Dic3—21no—
289D4×Dic3C2311yescharacteristic
290D4×Dic3C2311yescharacteristic
291D4×Dic3C2311yescharacteristic
292D4×Dic3C2311yescharacteristic
293D4×Dic3C2311yescharacteristic
294C2×#214C2311yescharacteristic
295C2×#214C2311yescharacteristic
296C2×#213C2311yescharacteristic
297C2×#213C2311yescharacteristic
298C2×#213C2311yescharacteristic
299#929—21no—
300C4×#67—21no—
301C4×#67—21no—
302C4×#67—21no—
303C4×#67—21no—
304C4×#67—21no—
305C4×#67—21no—
306C2×(C2×D3)⋊C4—21no—
307C2×(C2×D3)⋊C4—21no—
308C2×(C2×D3)⋊C4—21no—
309#926—21no—
310#924—21no—
311#924—21no—
312#924—21no—
313#924—21no—
314C2×Dic3⋊C4—21no—
315C2×Dic3⋊C4—21no—
316C2×C4×Dic3—21no—
317D3×SD16—24no—
318#911—24no—
319D3×D8—24no—
320C2×D24C2311yescharacteristic
321C2×#204C2311yescharacteristic
322C2×#204C2311yescharacteristic
323C2×ΓL(1,𝔽25)C2311yescharacteristic
324C2×ΓL(1,𝔽25)C2311yescharacteristic
325C2×D3×C8C2311yescharacteristic
326C2×D3×C8C2311yescharacteristic
327#898—21no—
328#898—21no—
329#898—21no—
330#897—21no—
331#897—21no—
332#897—21no—
333#897D411yescharacteristic
334#896—21no—
335#896—21no—
336#896—21no—
337#896—21no—
338#896—21no—
339#896—21no—
340#896—21no—
341#896—21no—
342#896—21no—
343#896—21no—
344#896—21no—
345#896—21no—
346#896—21no—
347#896D411yescharacteristic
348#896D411yescharacteristic
349#893C2311yescharacteristic
350#893C2311yescharacteristic
351#893C2311yescharacteristic
352#893C2311yescharacteristic
353#892—21no—
354#892—21no—
355#892C2311yescharacteristic
356#892C2311yescharacteristic
357#892C2311yescharacteristic
358D3×C4⋊C4—21no—
359D3×C4⋊C4—21no—
360D3×C4⋊C4—21no—
361D3×C4⋊C4C2311yescharacteristic
362#890C2311yescharacteristic
363#890C2311yescharacteristic
364#889—21no—
365#889—21no—
366#889D411yescharacteristic
367#889D411yescharacteristic
368#888—21no—
369#888D411yescharacteristic
370#888C2311yescharacteristic
371#888C2311yescharacteristic
372#888C2311yescharacteristic
373#888C2311yescharacteristic
374#887—21no—
375#887—21no—
376#887—21no—
377#887C2311yescharacteristic
378#887C2311yescharacteristic
379#886—21no—
380#885—21no—
381#885—21no—
382#885—21no—
383#885—21no—
384#883—21no—
385#883—21no—
386#883—21no—
387#883—21no—
388#67⋊C4—21no—
389#67⋊C4—21no—
390#67⋊C4—21no—
391#67⋊C4—21no—
392#67⋊C4—21no—
393#67⋊C4—21no—
394D3×C22⋊C4—21no—
395D3×C22⋊C4—21no—
396D3×C22⋊C4—21no—
397D3×C22⋊C4—21no—
398D3×C22⋊C4—21no—
399D3×C22⋊C4—21no—
400#879—21no—
401#879—21no—
402#879—21no—
403#879—21no—
404#878—21no—
405#878—21no—
406#878—21no—
407#878—21no—
408#878—21no—
409#878—21no—
410#878—21no—
411#878—21no—
412#878—21no—
413#877—21no—
414#877—21no—
415#876—21no—
416#875C2311yescharacteristic
417#875C2311yescharacteristic
418C4×D12C2311yescharacteristic
419C4×D12C2311yescharacteristic
420C4×D12C2311yescharacteristic
421C4×D12C2311yescharacteristic
422#872—21no—
423#872—21no—
424#872C2311yescharacteristic
425#872C2311yescharacteristic
426C42×D3C2311yescharacteristic
427#870C2311yescharacteristic
428#870C2311yescharacteristic
429#869C2311yescharacteristic
430#869C2311yescharacteristic
431C4×Dic6—21no—
432C4×Dic6C2311yescharacteristic
433C4×Dic6C2311yescharacteristic
434C4×Dic6C2311yescharacteristic
435C4×Dic6C2311yescharacteristic
436C4×Dic6C2311yescharacteristic
437C3×#107C2311yescharacteristic
438C3×#107C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×C4⋊C8C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×C4⋊C8C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#102C2311yescharacteristic
447C3×#102C2311yescharacteristic
448C3×#102C2311yescharacteristic
449C3×#102C2311yescharacteristic
450C3×#102C2311yescharacteristic
451C3×#102C2311yescharacteristic
452C3×#102C2311yescharacteristic
453C3×C4×C8C2311yescharacteristic
454C3×C4×C8C2311yescharacteristic
455C3×C4×C8C2311yescharacteristic
456#835C2311yescharacteristic
457#835C2311yescharacteristic
458#835C2311yescharacteristic
459#832C2311yescharacteristic
460#832C2311yescharacteristic
461#832C2311yescharacteristic
462#832C2311yescharacteristic
463#832C2311yescharacteristic
464#832C2311yescharacteristic
465#832C2311yescharacteristic
466#821C2311yescharacteristic
467#821C2311yescharacteristic
468#821C2311yescharacteristic
469#821C2311yescharacteristic
470#818C2311yescharacteristic
471#817C2311yescharacteristic
472#817C2311yescharacteristic
473#816C2311yescharacteristic
474#816C2311yescharacteristic
475#816C2311yescharacteristic
476#816C2311yescharacteristic
477#816C2311yescharacteristic
478#816C2311yescharacteristic
479#815C2311yescharacteristic
480#815C2311yescharacteristic
481#815C2311yescharacteristic
482#815C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487Dic3⋊C8C2311yescharacteristic
488Dic3⋊C8C2311yescharacteristic
489C8×Dic3C2311yescharacteristic
490C8×Dic3C2311yescharacteristic
491#810C2311yescharacteristic
492#810C2311yescharacteristic
493#810C2311yescharacteristic
494#810C2311yescharacteristic
495#810C2311yescharacteristic
496#810C2311yescharacteristic
497#809C2311yescharacteristic
498#809C2311yescharacteristic
499#809C2311yescharacteristic
500#809C2311yescharacteristic
501#808C2311yescharacteristic
502#808C2311yescharacteristic
503#808C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506#807C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509C4⋊(C3⋊C8)C2311yescharacteristic
510#803C2311yescharacteristic
511#803C2311yescharacteristic
512C4×C3⋊C8C2311yescharacteristic
513C2×AGL(1,ℤ/8)—31no—
514C22×SD16—31no—
515C22×D8—31no—
516#559—31no—
517#559—31no—
518#559—31no—
519#559C2×D311yescharacteristic, complemented
520#556—31no—
521#556—31no—
522#556—31no—
523#556—31no—
524#554—31no—
525#554—31no—
526#554—31no—
527#554—31no—
528#554—31no—
529#554—61no—
530#554—61no—
531#554—61no—
532#554C2×D311yescharacteristic, complemented
533#551—61no—
534#551—61no—
535#551—61no—
536#551—61no—
537D4×Q8—31no—
538D4×Q8—31no—
539D4×Q8—61no—
540#544—31no—
541#544—31no—
542#543—61no—
543#543—61no—
544#542—61no—
545#542—61no—
546#536—31no—
547#535—31no—
548#533—31no—
549#533—31no—
550#529—61no—
551#529—61no—
552C2×#124—31no—
553C2×C22⋊Q8—61no—
554C2×C22⋊Q8—61no—
555#519—31no—
556#518—31no—
557#518—31no—
558#518—31no—
559C4×#41—31no—
560C2×C4×D4—31no—
561#491—31no—
562#491—31no—
563#490—31no—
564#490—31no—
565#489—31no—
566#489—31no—
567#489—31no—
568#489—31no—
569#489—31no—
570#489—31no—
571#489—31no—
572#489—31no—
573#488—31no—
574#488—31no—
575#488—31no—
576#488—31no—
577#488—31no—
578#488—31no—
579#488C2×D311yescharacteristic, complemented
580#488C2×D311yescharacteristic, complemented
581#487—31no—
582#487—31no—
583#486—31no—
584#486C2×D311yescharacteristic, complemented
585#479—31no—
586#479—31no—
587#479—31no—
588#479—31no—
589#479—31no—
590#479—31no—
591#478—31no—
592#478—31no—
593#478—31no—
594#478—31no—
595#478C2×D311yescharacteristic, complemented
596#478C2×D311yescharacteristic, complemented
597#477—31no—
598#477—31no—
599#477C2×D311yescharacteristic, complemented
600#476—31no—
601#476—31no—
602#476—31no—
603#475—31no—
604#475—31no—
605#475—31no—
606#474—31no—
607#474—31no—
608#474—31no—
609#463—31no—
610#463—31no—
611#463—31no—
612#463—31no—
613#463—31no—
614#463—31no—
615#463—31no—
616#463—31no—
617#463—31no—
618#463—31no—
619#463—31no—
620#463—31no—
621#463—31no—
622#463—31no—
623#463C2×D311yescharacteristic
624#463C2×D311yescharacteristic, complemented
625#461—31no—
626#461—31no—
627#461—31no—
628#461—31no—
629#459—31no—
630#459—31no—
631#459—31no—
632#459C2×D311yescharacteristic
633#446—31no—
634#446—31no—
635#446—31no—
636#446—31no—
637#446—31no—
638#446—31no—
639C8×Q8—31no—
640C8×Q8C2×D311yescharacteristic, complemented
641#442—31no—
642#442—31no—
643#442—31no—
644#442—31no—
645#442—31no—
646#442—31no—
647#440—31no—
648#440—31no—
649#440—31no—
650#440—31no—
651#440—31no—
652#440—31no—
653C4×SD16—31no—
654C4×SD16—31no—
655C4×SD16—31no—
656C4×SD16—31no—
657C4×SD16—31no—
658C4×SD16C2×D311yescharacteristic, complemented
659C4×D8—31no—
660C4×D8—31no—
661C4×D8—31no—
662C4×D8—31no—
663C4×D8C2×D311yescharacteristic
664C4×D8C2×D311yescharacteristic, complemented
665#428—31no—
666#427—31no—
667#427—31no—
668#424—31no—
669#424—31no—
670C2×C4⋊C8—31no—
671#419—31no—
672#419—31no—
673#418—31no—
674#418—31no—
675#418—31no—
676#417—31no—
677#416—31no—
678#416—31no—
679C2×#103—31no—
680C2×#102—31no—
681#405—31no—
682#405—31no—
683C4×M16—31no—
684C23×D3—21no—
685C23×D3—21no—
686C2×C3×Q8—21no—
687C2×C3×Q8C2×D411yescharacteristic
688C2×C3×Q8C2411yescharacteristic
689C2×C3×D4—21no—
690C2×C3×D4—21no—
691C2×C3×D4C2411yescharacteristic
692C2×C3×D4C2411yescharacteristic
693C2×C3×D4C2411yescharacteristic
694C22×C3×C4—21no—
695C22×C3×C4—21no—
696C22×C3×C4—21no—
697C22×C3×C4—21no—
698C22×C3×C4—21no—
699C2×#67—21no—
700C2×#67—21no—
701C2×#67—21no—
702C2×#67—21no—
703C2×#67—21no—
704C22×Dic3—21no—
705C22×Dic3—21no—
706C22×Dic3—21no—
707C22×Dic3—21no—
708C22×Dic3—21no—
709C22×Dic3—21no—
710D3×Q8—22no—
711D3×Q8—22no—
712D3×Q8—82no—
713#237—22no—
714#237—22no—
715D3×D4—22no—
716D3×D4—22no—
717D3×D4—22no—
718D3×D4#4114yes—
719C2×D12C2411yescharacteristic
720C2×D12C2411yescharacteristic
721C2×C4×D3—21no—
722C2×C4×D3—21no—
723C2×C4×D3—21no—
724C2×C4×D3—21no—
725C2×C4×D3—21no—
726C2×C4×D3—21no—
727C2×C4×D3—21no—
728C2×C4×D3—21no—
729C2×C4×D3—21no—
730C2×C4×D3—21no—
731C2×C4×D3—82no—
732C2×C4×D3C2×D411yescharacteristic
733C2×C4×D3C2×D411yescharacteristic
734C2×C4×D3C2411yescharacteristic
735C2×Dic6—21no—
736C2×Dic6—21no—
737C2×Dic6—21no—
738C2×Dic6—21no—
739C2×Dic6—21no—
740C2×Dic6—21no—
741C2×Dic6—82no—
742C2×Dic6C2×D411yescharacteristic
743C2×Dic6C2×D411yescharacteristic
744C2×Dic6C2×D411yescharacteristic
745C2×Dic6C2411yescharacteristic
746C2×Dic6C2411yescharacteristic
747C3×SD16—22no—
748C3×D8—22no—
749C3×D8—22no—
750C2×C3×C8C2411yescharacteristic
751C2×C3×C8C2411yescharacteristic
752C2×C3×C8C2411yescharacteristic
753C2×C3×C8C2411yescharacteristic
754C3×C4⋊C4—21no—
755C3×C4⋊C4—21no—
756C3×C4⋊C4—21no—
757C3×C4⋊C4—21no—
758C3×C4⋊C4—21no—
759C3×C4⋊C4—21no—
760C3×C4⋊C4C2×D411yescharacteristic
761C3×C4⋊C4C2×D411yescharacteristic
762C3×C4⋊C4C2×D411yescharacteristic
763C3×C4⋊C4C2411yescharacteristic
764C3×C4⋊C4C2411yescharacteristic
765C3×C4⋊C4C2411yescharacteristic
766C3×C4⋊C4C2411yescharacteristic
767C3×C22⋊C4—21no—
768C3×C22⋊C4—21no—
769C3×C22⋊C4—21no—
770C3×C22⋊C4—21no—
771C3×C22⋊C4—21no—
772C3×C22⋊C4—21no—
773C3×C22⋊C4—21no—
774C3×C22⋊C4—21no—
775C3×C22⋊C4—21no—
776C3×C42—21no—
777C3×C42C2411yescharacteristic
778C3×C42C2411yescharacteristic
779C3×C42C2411yescharacteristic
780#217—21no—
781#217—21no—
782#217—21no—
783#217—21no—
784#217—21no—
785#217—21no—
786#217—21no—
787#217—21no—
788#217—21no—
789#217—21no—
790#217—21no—
791#215—22no—
792#214—22no—
793#214—22no—
794#213—22no—
795#213—22no—
796#213—22no—
797(C2×D3)⋊C4—21no—
798(C2×D3)⋊C4—21no—
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)⋊C4—21no—
812(C2×D3)⋊C4—21no—
813(C2×D3)⋊C4—21no—
814(C2×D3)⋊C4C2×D411yescharacteristic
815(C2×D3)⋊C4C2×D411yescharacteristic
816(C2×D3)⋊C4C2×D411yescharacteristic
817(C2×D3)⋊C4C2×D411yescharacteristic
818C4⋊Dic3—21no—
819C4⋊Dic3—21no—
820C4⋊Dic3—21no—
821C4⋊Dic3—21no—
822C4⋊Dic3—21no—
823C4⋊Dic3—21no—
824C4⋊Dic3C2×D411yescharacteristic
825C4⋊Dic3C2×D411yescharacteristic
826C4⋊Dic3C2×D411yescharacteristic
827C4⋊Dic3C2411yescharacteristic
828C4⋊Dic3C2411yescharacteristic
829C4⋊Dic3C2411yescharacteristic
830C4⋊Dic3C2411yescharacteristic
831Dic3⋊C4—21no—
832Dic3⋊C4—21no—
833Dic3⋊C4—21no—
834Dic3⋊C4—21no—
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⋊C4C2×D411yescharacteristic
849Dic3⋊C4C2×D411yescharacteristic
850Dic3⋊C4C2×D411yescharacteristic
851Dic3⋊C4C2×D411yescharacteristic
852Dic3⋊C4C2×D411yescharacteristic
853Dic3⋊C4C2×D411yescharacteristic
854Dic3⋊C4C2×D411yescharacteristic
855Dic3⋊C4C2×D411yescharacteristic
856Dic3⋊C4C2×D411yescharacteristic
857Dic3⋊C4C2×D411yescharacteristic
858C4×Dic3—21no—
859C4×Dic3—21no—
860C4×Dic3—21no—
861C4×Dic3—21no—
862C4×Dic3—21no—
863C4×Dic3—21no—
864C4×Dic3—21no—
865C4×Dic3—21no—
866C4×Dic3C2×D411yescharacteristic
867C4×Dic3C2×D411yescharacteristic
868C4×Dic3C2411yescharacteristic
869C4×Dic3C2411yescharacteristic
870C4×Dic3C2411yescharacteristic
871C2×C3⋊C8C2411yescharacteristic
872C2×C3⋊C8C2411yescharacteristic
873C2×C3⋊C8C2411yescharacteristic
874C2×C3⋊C8C2411yescharacteristic
875D24—22no—
876#204—22no—
877#204—22no—
878ΓL(1,𝔽25)—22no—
879ΓL(1,𝔽25)—22no—
880D3×C8—22no—
881D3×C8—22no—
882C2×#41—31no—
883C22×Q8—31no—
884C22×Q8—61no—
885C22×Q8—61no—
886C22×D4—31no—
887C22×D4—31no—
888C23×C4—61no—
889AGL(1,ℤ/8)—64no—
890C2×SD16—31no—
891C2×SD16—31no—
892C2×SD16—31no—
893C2×SD16—31no—
894C2×SD16—31no—
895C2×SD16—64no—
896C2×SD16C22×D311yescharacteristic
897C2×D8—31no—
898C2×D8—31no—
899C2×D8—31no—
900C2×D8—31no—
901C2×D8—64no—
902C2×D8C22×D311yescharacteristic
903C2×D8C22×D311yescharacteristic
904C2×M16—31no—
905C2×M16—31no—
906C22×C8—31no—
907C22×C8—31no—
908C4⋊Q8—31no—
909C4⋊Q8—31no—
910C4⋊Q8—31no—
911C4⋊Q8—31no—
912C4⋊Q8—31no—
913C4⋊Q8—31no—
914C4⋊Q8—31no—
915C4⋊Q8—31no—
916C4⋊Q8—31no—
917C4⋊Q8—61no—
918C4⋊Q8—61no—
919C4⋊Q8C22×D311yescharacteristic
920#127—31no—
921#127C22×D311yescharacteristic
922#126—61no—
923#126—61no—
924#126—61no—
925#126—61no—
926#126—61no—
927#126—61no—
928#126—61no—
929#126—61no—
930#125—31no—
931#125—31no—
932#125—31no—
933#125—31no—
934#125—31no—
935#125—31no—
936#125—61no—
937#125—61no—
938#125C22×D311yescharacteristic
939#125C22×D311yescharacteristic
940#124—21no—
941#124—31no—
942#124—31no—
943#124—31no—
944#124—31no—
945#124—31no—
946#124—31no—
947#124—61no—
948#124—61no—
949#124—61no—
950#124—61no—
951#124—61no—
952#124C22×D311yescharacteristic
953#124C22×D311yescharacteristic
954#123—21no—
955#123—21no—
956#123—61no—
957#123—61no—
958#123—61no—
959#123—61no—
960#123—61no—
961#123—61no—
962#123—61no—
963#123—61no—
964C22⋊Q8—21no—
965C22⋊Q8—21no—
966C22⋊Q8—21no—
967C22⋊Q8—31no—
968C22⋊Q8—31no—
969C22⋊Q8—31no—
970C22⋊Q8—31no—
971C22⋊Q8—61no—
972C22⋊Q8—61no—
973C22⋊Q8—61no—
974C22⋊Q8—61no—
975C22⋊Q8—61no—
976C22⋊Q8—61no—
977C22⋊Q8—61no—
978C22⋊Q8—61no—
979C22⋊Q8—61no—
980C22⋊Q8—61no—
981C22⋊Q8—61no—
982C22⋊Q8—61no—
983C22⋊Q8—61no—
984C22⋊Q8—61no—
985C22⋊Q8—61no—
986C22⋊Q8—61no—
987C22⋊Q8—61no—
988C22⋊Q8—61no—
989C22⋊Q8—61no—
990C22⋊Q8—61no—
991C22⋊Q8—61no—
992C22⋊Q8—61no—
993C22⋊Q8—61no—
994C22⋊Q8—61no—
995C22⋊Q8—61no—
996C22⋊Q8—61no—
997C22⋊Q8—61no—
998C22⋊Q8—61no—
999C22⋊Q8—61no—
1000C22⋊Q8—61no—
1001C22⋊Q8—61no—
1002C22⋊Q8—61no—
1003C22⋊Q8—61no—
1004#121—61no—
1005#121—61no—
1006#120—61no—
1007#120—61no—
1008C4×Q8—31no—
1009C4×Q8—31no—
1010C4×Q8—31no—
1011C4×Q8—31no—
1012C4×Q8—31no—
1013C4×Q8—31no—
1014C4×Q8—31no—
1015C4×Q8—31no—
1016C4×Q8—61no—
1017C4×Q8—61no—
1018C4×Q8—61no—
1019C4×Q8—61no—
1020C4×Q8C22×D311yescharacteristic
1021C4×Q8C22×D311yescharacteristic
1022C4×D4—21no—
1023C4×D4—31no—
1024C4×D4—31no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—31no—
1029C4×D4—31no—
1030C4×D4—31no—
1031C4×D4—31no—
1032C4×D4—31no—
1033C4×D4—31no—
1034C4×D4—31no—
1035C4×D4—31no—
1036C4×D4—61no—
1037C4×D4—61no—
1038C4×D4—61no—
1039C4×D4—61no—
1040C4×D4—61no—
1041C4×D4—61no—
1042C4×D4—61no—
1043C4×D4—61no—
1044C4×D4—61no—
1045C4×D4—61no—
1046C4×D4—61no—
1047C4×D4—61no—
1048C4×D4—61no—
1049C4×D4C22×D311yescharacteristic
1050C4×D4C22×D311yescharacteristic
1051C4×D4C22×D311yescharacteristic
1052C4×D4C22×D311yescharacteristic
1053C4×D4C22×D311yescharacteristic
1054#117—31no—
1055#117—31no—
1056#117—31no—
1057#117—31no—
1058#117—31no—
1059#117—61no—
1060#117—61no—
1061#117—61no—
1062#117—61no—
1063#117—61no—
1064#117—61no—
1065#117—61no—
1066C2×C4⋊C4—21no—
1067C2×C4⋊C4—31no—
1068C2×C4⋊C4—61no—
1069C2×C4⋊C4—61no—
1070C2×C4⋊C4—61no—
1071C2×C4⋊C4—61no—
1072C2×C4⋊C4—61no—
1073C2×C22⋊C4—61no—
1074C2×C22⋊C4—61no—
1075C2×C22⋊C4—61no—
1076C2×C22⋊C4—61no—
1077C2×C22⋊C4—61no—
1078C2×C22⋊C4—61no—
1079C2×C22⋊C4—61no—
1080C2×C22⋊C4—61no—
1081C2×C22⋊C4—61no—
1082C2×C42—31no—
1083C2×C42—61no—
1084#107—31no—
1085#107—31no—
1086#107—31no—
1087#107—31no—
1088#107C22×D311yescharacteristic
1089#107C22×D311yescharacteristic
1090#106—31no—
1091#106—31no—
1092#106—31no—
1093#106—31no—
1094#106—31no—
1095#106C22×D311yescharacteristic
1096C4⋊C8—31no—
1097C4⋊C8—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8—31no—
1103C4⋊C8—31no—
1104C4⋊C8—31no—
1105C4⋊C8C22×D311yescharacteristic
1106C4⋊C8C22×D311yescharacteristic
1107C4⋊C8C22×D311yescharacteristic
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#103C22×D311yescharacteristic
1124#103C22×D311yescharacteristic
1125#103C22×D311yescharacteristic
1126#102—31no—
1127#102—31no—
1128#102—31no—
1129#102—31no—
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#102C22×D311yescharacteristic
1142#102C22×D311yescharacteristic
1143#102C22×D311yescharacteristic
1144#102C22×D311yescharacteristic
1145#102C22×D311yescharacteristic
1146#102C22×D311yescharacteristic
1147#102C22×D311yescharacteristic
1148#97—31no—
1149#97—31no—
1150#97—31no—
1151#97—31no—
1152#97—31no—
1153#97—31no—
1154C4×C8—31no—
1155C4×C8—31no—
1156C4×C8—31no—
1157C4×C8C22×D311yescharacteristic
1158C4×C8C22×D311yescharacteristic
1159C4×C8C22×D311yescharacteristic
1160C23×C3—21no—
1161C23×C3—21no—
1162C23×C3—21no—
1163C22×D3—21no—
1164C22×D3—24no—
1165C22×D3—21no—
1166C22×D3—42no—
1167C22×D3—81no—
1168C22×D3—81no—
1169C22×D3—81no—
1170C22×D3—81no—
1171C22×D3C22×D411yescharacteristic
1172C3×Q8—21no—
1173C3×Q8—21no—
1174C3×Q8—41no—
1175C3×Q8—81no—
1176C3×D4—21no—
1177C3×D4—21no—
1178C3×D4—21no—
1179C3×D4—21no—
1180C3×D4—21no—
1181C3×D4—81no—
1182C3×D4—81no—
1183C3×D4C2×#4112yes—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—81no—
1190C2×C3×C4—81no—
1191C2×C3×C4—81no—
1192C2×C3×C4—81no—
1193C2×C3×C4—81no—
1194C2×C3×C4C22×D411yescharacteristic
1195C2×C3×C4C22×D411yescharacteristic
1196C2×C3×C4C22×D411yescharacteristic
1197C2×C3×C4C22×D411yescharacteristic
1198C2×C3×C4C22×D411yescharacteristic
1199C2×C3×C4C22×D411yescharacteristic
1200C2×C3×C4C2511yescharacteristic
1201#67—24no—
1202#67—42no—
1203#67—42no—
1204#67—81no—
1205#67—81no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—42no—
1213C2×Dic3—42no—
1214C2×Dic3—81no—
1215C2×Dic3—81no—
1216C2×Dic3—81no—
1217C2×Dic3—81no—
1218C2×Dic3C22×D411yescharacteristic
1219C2×Dic3C22×D411yescharacteristic
1220C2×Dic3C22×D411yescharacteristic
1221C2×Dic3C22×D411yescharacteristic
1222C2×Dic3C22×D411yescharacteristic
1223C2×Dic3C22×D411yescharacteristic
1224C2×Dic3C22×D411yescharacteristic
1225D12—21no—
1226D12—21no—
1227D12—21no—
1228D12C2×#4112yes—
1229C4×D3—41no—
1230C4×D3—41no—
1231C4×D3—42no—
1232C4×D3—42no—
1233C4×D3—81no—
1234C4×D3—81no—
1235C4×D3—81no—
1236C4×D3—81no—
1237C4×D3—81no—
1238C4×D3—81no—
1239C4×D3—81no—
1240C4×D3—81no—
1241C4×D3C2×#4112yes—
1242C4×D32−1+412yes—
1243Dic6—21no—
1244Dic6—21no—
1245Dic6—21no—
1246Dic6—21no—
1247Dic6—41no—
1248Dic6—41no—
1249Dic6—41no—
1250Dic6—42no—
1251Dic6—42no—
1252Dic6—81no—
1253Dic6—81no—
1254Dic6—81no—
1255Dic6—81no—
1256C3×C8—21no—
1257C3×C8—21no—
1258C3×C8—21no—
1259C3×C8—21no—
1260C3⋊C8—21no—
1261C3⋊C8—21no—
1262C3⋊C8—21no—
1263C3⋊C8—21no—
1264C24—61no—
1265C24—61no—
1266#41—62no—
1267#41—62no—
1268C2×Q8—21no—
1269C2×Q8—31no—
1270C2×Q8—31no—
1271C2×Q8—31no—
1272C2×Q8—31no—
1273C2×Q8—31no—
1274C2×Q8—61no—
1275C2×Q8—61no—
1276C2×Q8—61no—
1277C2×Q8—61no—
1278C2×Q8—61no—
1279C2×Q8—62no—
1280C2×Q8—62no—
1281C2×Q8—61no—
1282C2×Q8—242no—
1283C2×Q8—242no—
1284C2×Q8D3×D411yescharacteristic
1285C2×Q8C23×D311yescharacteristic
1286C2×D4—21no—
1287C2×D4—21no—
1288C2×D4—34no—
1289C2×D4—31no—
1290C2×D4—31no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—61no—
1295C2×D4—61no—
1296C2×D4—61no—
1297C2×D4—61no—
1298C2×D4—61no—
1299C2×D4C23×D311yescharacteristic
1300C2×D4C23×D311yescharacteristic
1301C2×D4C23×D311yescharacteristic
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—61no—
1311C22×C4—61no—
1312C22×C4—61no—
1313C22×C4—61no—
1314C22×C4—61no—
1315C22×C4—61no—
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—242no—
1327SD16—22no—
1328SD16—62no—
1329SD16—62no—
1330SD16—62no—
1331SD16—62no—
1332SD16—62no—
1333D8—22no—
1334D8—22no—
1335D8—62no—
1336D8—62no—
1337D8—62no—
1338D8—62no—
1339M16—62no—
1340M16—62no—
1341C2×C8—31no—
1342C2×C8—31no—
1343C2×C8—31no—
1344C2×C8—31no—
1345C2×C8—62no—
1346C2×C8—62no—
1347C2×C8C23×D311yescharacteristic
1348C2×C8C23×D311yescharacteristic
1349C2×C8C23×D311yescharacteristic
1350C2×C8C23×D311yescharacteristic
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—31no—
1358C4⋊C4—31no—
1359C4⋊C4—31no—
1360C4⋊C4—31no—
1361C4⋊C4—31no—
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—61no—
1375C4⋊C4—61no—
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⋊C4D3×D411yescharacteristic
1398C4⋊C4D3×D411yescharacteristic
1399C4⋊C4D3×D411yescharacteristic
1400C4⋊C4C23×D311yescharacteristic
1401C4⋊C4C23×D311yescharacteristic
1402C4⋊C4C23×D311yescharacteristic
1403C4⋊C4C23×D311yescharacteristic
1404C22⋊C4—21no—
1405C22⋊C4—21no—
1406C22⋊C4—21no—
1407C22⋊C4—21no—
1408C22⋊C4—21no—
1409C22⋊C4—21no—
1410C22⋊C4—21no—
1411C22⋊C4—21no—
1412C22⋊C4—21no—
1413C22⋊C4—31no—
1414C22⋊C4—31no—
1415C22⋊C4—31no—
1416C22⋊C4—31no—
1417C22⋊C4—61no—
1418C22⋊C4—61no—
1419C22⋊C4—61no—
1420C22⋊C4—61no—
1421C22⋊C4—61no—
1422C22⋊C4—61no—
1423C22⋊C4—61no—
1424C22⋊C4—61no—
1425C22⋊C4—61no—
1426C22⋊C4—61no—
1427C22⋊C4—61no—
1428C22⋊C4—61no—
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—
1445C42—21no—
1446C42—31no—
1447C42—31no—
1448C42—31no—
1449C42—31no—
1450C42—31no—
1451C42—61no—
1452C42—61no—
1453C42—61no—
1454C42—61no—
1455C42—61no—
1456C42—61no—
1457C42—61no—
1458C42—61no—
1459C42C23×D311yescharacteristic
1460C42C23×D311yescharacteristic
1461C42C23×D311yescharacteristic
1462C22×C3—22no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3C23×D411yescharacteristic
1472C2×D3—21no—
1473C2×D3—21no—
1474C2×D3—22no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—84no—
1481C2×D3—162no—
1482C2×D3#54812yes—
1483C3×C4—21no—
1484C3×C4—21no—
1485C3×C4—21no—
1486C3×C4—21no—
1487C3×C4—21no—
1488C3×C4—21no—
1489C3×C4—41no—
1490C3×C4—41no—
1491C3×C4—41no—
1492C3×C4—41no—
1493C3×C4—41no—
1494C3×C4C22×#4111yescharacteristic
1495C3×C4C2×2−1+411yescharacteristic
1496Dic3—21no—
1497Dic3—21no—
1498Dic3—21no—
1499Dic3—21no—
1500Dic3—21no—
1501Dic3—21no—
1502Dic3—41no—
1503Dic3—41no—
1504Dic3—41no—
1505Dic3—41no—
1506Dic3—41no—
1507Dic3—41no—
1508Dic3#54812yes—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—31no—
1513C23—64no—
1514C23—61no—
1515C23—61no—
1516C23—122no—
1517C23—241no—
1518C23—241no—
1519C23—241no—
1520C23—241no—
1521Q8—21no—
1522Q8—21no—
1523Q8—41no—
1524Q8—61no—
1525Q8—61no—
1526Q8—61no—
1527Q8—61no—
1528Q8—81no—
1529Q8—121no—
1530Q8—121no—
1531Q8—121no—
1532Q8—122no—
1533Q8—122no—
1534Q8—241no—
1535Q8—241no—
1536Q8—241no—
1537Q8—241no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—32no—
1544D4—64no—
1545D4—61no—
1546D4—61no—
1547D4—61no—
1548D4—81no—
1549D4—81no—
1550D4—122no—
1551D4—122no—
1552D4—241no—
1553D4—241no—
1554D4D3×#4112yes—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—31no—
1561C2×C4—32no—
1562C2×C4—32no—
1563C2×C4—31no—
1564C2×C4—31no—
1565C2×C4—31no—
1566C2×C4—31no—
1567C2×C4—31no—
1568C2×C4—31no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—121no—
1581C2×C4—121no—
1582C2×C4—122no—
1583C2×C4—122no—
1584C2×C4—122no—
1585C2×C4—122no—
1586C2×C4—241no—
1587C2×C4—241no—
1588C2×C4—241no—
1589C2×C4—241no—
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×C4C2×D3×D411yescharacteristic
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—42no—
1614C2×C3—81no—
1615C2×C3—81no—
1616C2×C3C2×#54811yescharacteristic
1617C2×C3#358411yescharacteristic
1618C2×C3#358511yescharacteristic
1619D3—22no—
1620D3—42no—
1621D3—81no—
1622C22—22no—
1623C22—32no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—61no—
1633C22—61no—
1634C22—62no—
1635C22—121no—
1636C22—121no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—244no—
1641C22—482no—
1642C22C22×D3×D411yescharacteristic
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—32no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—61no—
1656C4—61no—
1657C4—61no—
1658C4—61no—
1659C4—61no—
1660C4—61no—
1661C4—121no—
1662C4—121no—
1663C4—121no—
1664C4—121no—
1665C4—121no—
1666C4—121no—
1667C4C2×D3×#4111yescharacteristic
1668C4D3×2−1+411yescharacteristic
1669C3#6134311yescharacteristic, complemented, Sylow
1670C2—42no—
1671C2—62no—
1672C2—81no—
1673C2—81no—
1674C2—122no—
1675C2—241no—
1676C2D3×#54811yescharacteristic
1677C2#8718711yescharacteristic
1678C2#8720411yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3361C2
socleC22×C3C23×D4
prime radical#80334C2
hypercenter#3361D3
hypocenterC3#61343
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3361

Complements

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

NH ≅ G/Ntype
1. #87052C2semidirect
2. #86949C2semidirect
3. C3×#3361C2semidirect
4. #83714C2semidirect
5. #83645C2semidirect
6. #81661C2semidirect
7. #81660C2semidirect
8. #81640C2semidirect
9. #81639C2semidirect
10. #81587C2semidirect
11. #81563C2semidirect
12. #81168C2semidirect
13. #81165C2semidirect
14. #81154C2semidirect
15. #81150C2semidirect
16. #81110C2semidirect
17. #81100C2semidirect
18. #80537C2semidirect
19. D3×#463C2semidirect
20. #80521C2semidirect
21. #80516C2semidirect
23. #80322C2semidirect
24. #79926C2semidirect
25. #79918C2semidirect
26. #79649C2semidirect
27. #79630C2semidirect
28. #79588C2semidirect
29. C4×#911C2semidirect
30. #79572C2semidirect
31. #79571C2semidirect
33. C3×#559C22semidirect
34. C3×#554C22semidirect
39. #5727C22semidirect
41. #5713C22semidirect
42. #5690C22semidirect
43. #5690C22semidirect
46. #5681C22semidirect
50. #5671C22semidirect
62. #5584C22semidirect
63. #5579C22semidirect
66. #5568C22semidirect
67. #5559C22semidirect
73. #5542C22semidirect
74. #5539C22semidirect
75. #5539C22semidirect
77. D4×Dic6C22semidirect
81. C3×#488C22semidirect
82. C3×#488C22semidirect
83. C3×#486C22semidirect
84. C3×#478C22semidirect
85. C3×#478C22semidirect
86. C3×#477C22semidirect
88. C3×#463C22semidirect
90. C3×C8×Q8C22semidirect
91. C3×C4×SD16C22semidirect
93. C3×C4×D8C22semidirect
95. #5162C22semidirect
96. Dic3×SD16C22semidirect
99. #5153C22semidirect
100. #5152C22semidirect
103. #5094C22semidirect
104. #5089C22semidirect
106. #5071C22semidirect
107. #5069C22semidirect
108. #5068C22semidirect
109. #5066C22semidirect
110. #5063C22semidirect
112. #5057C22semidirect
113. #5056C22semidirect
114. #5055C22semidirect
115. #5026C22semidirect
116. #5024C22semidirect
117. #5022C22semidirect
118. #5019C22semidirect
119. #5018C22semidirect
120. C4×#214C22semidirect
125. C4×#213C22semidirect
126. #5009C22semidirect
127. #5007C22semidirect
128. #4890C22semidirect
129. #4889C22semidirect
132. #4877C22semidirect
133. #4875C22semidirect
134. #4875C22semidirect
136. #4871C22semidirect
138. #4854C22semidirect
139. #4852C22semidirect
142. #4842C22semidirect
143. #4841C22semidirect
147. #4830C22semidirect
148. #4829C22semidirect
149. #4829C22semidirect
150. #4828C22semidirect
151. #4828C22semidirect
153. #4818C22semidirect
154. #4817C22semidirect
158. #4797C22semidirect
159. #4796C22semidirect
160. #4794C22semidirect
161. #4794C22semidirect
162. #4792C22semidirect
163. #4791C22semidirect
166. #4787C22semidirect
170. #4785C22semidirect
178. #4768C22semidirect
179. #4768C22semidirect
180. #4765C22semidirect
181. #4765C22semidirect
182. #4765C22semidirect
183. #4765C22semidirect
184. #4764C22semidirect
185. #4763C22semidirect
186. #4761C22semidirect
187. #4761C22semidirect
188. #4760C22semidirect
189. #4759C22semidirect
190. #4757C22semidirect
191. #4757C22semidirect
192. #4697C22semidirect
193. #4697C22semidirect
195. C4×#204C22semidirect
196. C4×#204C22semidirect
200. #4681C22semidirect
201. #4679C22semidirect
202. #4679C22semidirect
203. #4679C22semidirect
219. #3361D3semidirect
519. #559C2×D3semidirect
532. #554C2×D3semidirect
579. #488C2×D3semidirect
580. #488C2×D3semidirect
584. #486C2×D3semidirect
595. #478C2×D3semidirect
596. #478C2×D3semidirect
599. #477C2×D3semidirect
624. #463C2×D3semidirect
640. C8×Q8C2×D3semidirect
658. C4×SD16C2×D3semidirect
664. C4×D8C2×D3semidirect
1669. C3#61343semidirect

Maximal subgroups

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

subgroupindex
#870522
#869492
C3×#33612
#837142
#836452
#816612
#816602
#816402
#816392
#815872
#815632
#811682
#811652
#811542
#811502
#811102
#811002
#805372
D3×#4632
#805212
#805162
#803342
#803222
#799262
#799182
#796492
#796302
#795882
C4×#9112
#795722
#795712
#613433