Finite Group Databasebeta

← #11675478

Subgroups — #11675478

Order 768.

1748 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#87046C211yesmaximal, characteristic, complemented
2#86984C211yesmaximal, characteristic
3C3×#3369C211yesmaximal, characteristic, complemented
4#83708C211yesmaximal, characteristic, complemented
5#83678C211yesmaximal, characteristic, complemented
6#81682C211yesmaximal, characteristic, complemented
7#81680C211yesmaximal, characteristic
8#81677C211yesmaximal, characteristic, complemented
9#81675C211yesmaximal, characteristic, complemented
10#81625C211yesmaximal, characteristic, complemented
11#81599C211yesmaximal, characteristic, complemented
12#81062C211yesmaximal, characteristic, complemented
13#81051C211yesmaximal, characteristic, complemented
14#81041C211yesmaximal, characteristic, complemented
15#81013C211yesmaximal, characteristic, complemented
16#81010C211yesmaximal, characteristic, complemented
17#81004C211yesmaximal, characteristic, complemented
18#80600C211yesmaximal, characteristic
19D3×#464C211yesmaximal, characteristic, complemented
20#80584C211yesmaximal, characteristic, complemented
21#80580C211yesmaximal, characteristic, complemented
22#80478C211yesmaximal, characteristic, complemented
23#80467C211yesmaximal, characteristic, complemented
24#79982C211yesmaximal, characteristic, complemented
25#79961C211yesmaximal, characteristic, complemented
26#79831C211yesmaximal, characteristic, complemented
27#79829C211yesmaximal, characteristic, complemented
28#79818C211yesmaximal, characteristic, complemented
29#79816C211yesmaximal, characteristic, complemented
30#79649C211yesmaximal, characteristic, complemented
31#79624C211yesmaximal, characteristic, complemented
32#61344—31nomaximal, Sylow
33C3×Q82C2211yescharacteristic, complemented
34C3×#556C2211yescharacteristic
35C2×#918C2211yescharacteristic
36C2×D3×Q16C2211yescharacteristic
37C2×D3×SD16C2211yescharacteristic
38#5732C2211yescharacteristic
39#5729—21no—
40#5729—21no—
41#5729C2211yescharacteristic
42#5729C2211yescharacteristic
43#5728—21no—
44#5728C2211yescharacteristic
45#5724C2211yescharacteristic
46#5722—21no—
47#5722C2211yescharacteristic, complemented
48#5721—21no—
49#5721—21no—
50#5721C2211yescharacteristic, complemented
51#5721C2211yescharacteristic, complemented
52#5710—21no—
53#5706—21no—
54#5705—21no—
55#5705—21no—
56#5681C2211yescharacteristic
57#5674C2211yescharacteristic
58D3×#124C2211yescharacteristic
59#5671C2211yescharacteristic
60#5640—21no—
61#5637—21no—
62#5585C2211yescharacteristic
63#5585C2211yescharacteristic
64#5578—21no—
65#5578C2211yescharacteristic
66C4×#239C2211yescharacteristic
67#5572C2211yescharacteristic
68#5572C2211yescharacteristic
69#5572C2211yescharacteristic
70C4×D3×Q8C2211yescharacteristic
71#5570C2211yescharacteristic, complemented
72#5569C2211yescharacteristic, complemented
73#5569C2211yescharacteristic, complemented
74#5568C2211yescharacteristic
75#5567—21no—
76#5567C2211yescharacteristic, complemented
77#5559C2211yescharacteristic
78#5545C2211yescharacteristic
79#5528—21no—
80#5527—21no—
81C3×#489C2211yescharacteristic
82C3×#489C2211yescharacteristic
83C3×#487C2211yescharacteristic, complemented
84C3×#476C2211yescharacteristic
85C3×#475C2211yescharacteristic, complemented
86C3×#475C2211yescharacteristic, complemented
87C3×#464C2211yescharacteristic
88C3×#464C2211yescharacteristic
89C3×#462C2211yescharacteristic, complemented
90C3×#446C2211yescharacteristic, complemented
91C3×#441C2211yescharacteristic, complemented
92C3×#441C2211yescharacteristic, complemented
93C3×C4×SD16C2211yescharacteristic
94#5185C2211yescharacteristic
95#5185C2211yescharacteristic
96#5185C2211yescharacteristic, complemented
97#5184C2211yescharacteristic, complemented
98#5182C2211yescharacteristic, complemented
99Dic3×Q16C2211yescharacteristic, complemented
100#5166C2211yescharacteristic
101#5163C2211yescharacteristic
102Dic3×SD16C2211yescharacteristic
103#5091C2211yescharacteristic, complemented
104#5090C2211yescharacteristic, complemented
105#5089C2211yescharacteristic
106#5089C2211yescharacteristic, complemented
107#5088C2211yescharacteristic
108#5087C2211yescharacteristic
109#5087C2211yescharacteristic, complemented
110#5082C2211yescharacteristic, complemented
111#5056C2211yescharacteristic
112#5055C2211yescharacteristic
113#5054C2211yescharacteristic
114#5054C2211yescharacteristic
115#5030C2211yescharacteristic, complemented
116C4×#216C2211yescharacteristic, complemented
117C4×#216C2211yescharacteristic, complemented
118#5028C2211yescharacteristic
119#5028C2211yescharacteristic, complemented
120#5027C2211yescharacteristic
121#5026C2211yescharacteristic
122#5026C2211yescharacteristic, complemented
123#5024C2211yescharacteristic, complemented
124#5022C2211yescharacteristic, complemented
125#5021C2211yescharacteristic, complemented
126#5018C2211yescharacteristic
127#5009C2211yescharacteristic
128#4871C2211yescharacteristic
129#4871C2211yescharacteristic, complemented
130#4871C2211yescharacteristic, complemented
131#4870C2211yescharacteristic
132#4861C2211yescharacteristic
133#4860C2211yescharacteristic
134#4860C2211yescharacteristic
135#4857C2211yescharacteristic, complemented
136#4854C2211yescharacteristic, complemented
137#4853C2211yescharacteristic, complemented
138#4852C2211yescharacteristic
139#4852C2211yescharacteristic, complemented
140#4848C2211yescharacteristic
141#4847C2211yescharacteristic
142#4845C2211yescharacteristic
143#4845C2211yescharacteristic, complemented
144#4842C2211yescharacteristic, complemented
145#4839C2211yescharacteristic
146#4839C2211yescharacteristic
147D3×C4⋊C8C2211yescharacteristic
148#4830C2211yescharacteristic, complemented
149#4829C2211yescharacteristic, complemented
150#4828C2211yescharacteristic, complemented
151#4828C2211yescharacteristic, complemented
152#4817C2211yescharacteristic
153#4804C2211yescharacteristic
154#4804C2211yescharacteristic
155#4803C2211yescharacteristic
156#4802C2211yescharacteristic
157#4802C2211yescharacteristic
158#4802C2211yescharacteristic
159D3×#103C2211yescharacteristic
160#4800C2211yescharacteristic
161#4800C2211yescharacteristic
162#4800C2211yescharacteristic
163#4800C2211yescharacteristic, complemented
164#4799C2211yescharacteristic, complemented
165#4799C2211yescharacteristic, complemented
166#4799C2211yescharacteristic, complemented
167#4798C2211yescharacteristic
168#4798C2211yescharacteristic
169#4798C2211yescharacteristic, complemented
170#4797C2211yescharacteristic, complemented
171#4795C2211yescharacteristic, complemented
172#4794C2211yescharacteristic
173#4794C2211yescharacteristic, complemented
174#4793C2211yescharacteristic, complemented
175#4792C2211yescharacteristic, complemented
176#4790C2211yescharacteristic, complemented
177#4790C2211yescharacteristic, complemented
178#4790C2211yescharacteristic, complemented
179#4788C2211yescharacteristic, complemented
180#4770C2211yescharacteristic
181#4770C2211yescharacteristic
182D3×#102C2211yescharacteristic
183#4768C2211yescharacteristic
184#4768C2211yescharacteristic
185#4767C2211yescharacteristic
186#4764C2211yescharacteristic
187#4763C2211yescharacteristic
188#4762C2211yescharacteristic
189#4760C2211yescharacteristic
190#4759C2211yescharacteristic
191#4757C2211yescharacteristic
192#4716C2211yescharacteristic, complemented
193#4714C2211yescharacteristic
194#4713C2211yescharacteristic
195#4710C2211yescharacteristic, complemented
196#4708C2211yescharacteristic
197#4707C2211yescharacteristic
198#4701C2211yescharacteristic, complemented
199#4701C2211yescharacteristic, complemented
200#4697C2211yescharacteristic, complemented
201C4×#204C2211yescharacteristic
202#4689C2211yescharacteristic
203C8×Dic6C2211yescharacteristic, complemented
204#3510—31no—
205#3502—31no—
206#3377—31no—
207#3377—31no—
208#3377—31no—
209#3377—31no—
210#3375—31no—
211#3375—31no—
212#3371—31no—
213#3371—31no—
214#3371—31no—
215#3371—31no—
216#3369—31no—
217#3369D311yescharacteristic, complemented
218#3365—31no—
219#3365—31no—
220#3364—31no—
221#3364—31no—
222#3140—31no—
223#3137—31no—
224#3136—31no—
225#3082—31no—
226#3081—31no—
227#3076—31no—
228#3044—31no—
229#3043—31no—
230C2×#464—31no—
231#2962—31no—
232#2950—31no—
233#2949—31no—
234C4×#137—31no—
235C2×#239C2311yescharacteristic
236C2×D3×Q8C2311yescharacteristic
237C2×D3×Q8C2311yescharacteristic
238C2×D3×D4C2311yescharacteristic
239C2×C3×Q16C2311yescharacteristic
240C2×C3×Q16C2311yescharacteristic
241C2×C3×SD16C2311yescharacteristic
242C3×C4⋊Q8—21no—
243C3×C4⋊Q8—21no—
244C3×C4⋊Q8—21no—
245C3×C4⋊Q8C2311yescharacteristic
246C3×C4⋊Q8C2311yescharacteristic
247C3×C4⋊Q8C2311yescharacteristic
248C3×C4⋊Q8C2311yescharacteristic
249C3×#126—21no—
250C3×#126—21no—
251C3×#124C2311yescharacteristic
252C3×#124C2311yescharacteristic
253C3×C22⋊Q8—21no—
254C3×C4×Q8—21no—
255C3×C4×Q8C2311yescharacteristic
256C3×C4×Q8C2311yescharacteristic
257C3×C4×Q8C2311yescharacteristic
258C3×C4×Q8C2311yescharacteristic
259C3×C4×Q8C2311yescharacteristic
260C3×C4×Q8C2311yescharacteristic
261C3×C4×D4C2311yescharacteristic
262C3×#117—21no—
263#947—21no—
264#947C2311yescharacteristic
265#947C2311yescharacteristic
266#947C2311yescharacteristic
267#946—21no—
268#946—21no—
269#946—21no—
270#946D411yescharacteristic
271Q8×Dic3—21no—
272Q8×Dic3—21no—
273Q8×Dic3—21no—
274Q8×Dic3C2311yescharacteristic
275Q8×Dic3C2311yescharacteristic
276Q8×Dic3C2311yescharacteristic
277Q8×Dic3C2311yescharacteristic
278Q8×Dic3C2311yescharacteristic
279#944—21no—
280#944—21no—
281#944—21no—
282#944—21no—
283#944—21no—
284#944—21no—
285#944—21no—
286#944D411yescharacteristic
287#944C2311yescharacteristic
288C2×#216C2311yescharacteristic
289C2×#216C2311yescharacteristic
290C2×#216C2311yescharacteristic
291C2×#215C2311yescharacteristic
292C2×#215C2311yescharacteristic
293#940C2311yescharacteristic
294#936C2311yescharacteristic
295D4×Dic3C2311yescharacteristic
296C2×#214C2311yescharacteristic
297#929—21no—
298C4×#67—21no—
299C4×#67—21no—
300C2×(C2×D3)⋊C4—21no—
301#918—24no—
302D3×Q16—24no—
303D3×SD16—24no—
304C2×Dic12C2311yescharacteristic
305C2×#204C2311yescharacteristic
306C2×#204C2311yescharacteristic
307C2×ΓL(1,𝔽25)C2311yescharacteristic
308C2×ΓL(1,𝔽25)C2311yescharacteristic
309C2×D3×C8C2311yescharacteristic
310C2×D3×C8C2311yescharacteristic
311#898—21no—
312#898—21no—
313#898—21no—
314#897—21no—
315#897—21no—
316#897D411yescharacteristic
317#896—21no—
318#896—21no—
319#896—21no—
320#896—21no—
321#896—21no—
322#896D411yescharacteristic
323#896D411yescharacteristic
324#894—21no—
325#894—21no—
326#894—21no—
327#894—21no—
328#894—21no—
329#894—21no—
330#893—21no—
331#893—21no—
332#893C2311yescharacteristic
333#893C2311yescharacteristic
334#892—21no—
335#892—21no—
336#892—21no—
337#892—21no—
338#892—21no—
339#892C2311yescharacteristic
340#892C2311yescharacteristic
341#892C2311yescharacteristic
342D3×C4⋊C4—21no—
343D3×C4⋊C4C2311yescharacteristic
344#890—21no—
345#890—21no—
346#890—21no—
347#890—21no—
348#890C2311yescharacteristic
349#890C2311yescharacteristic
350#890C2311yescharacteristic
351#890C2311yescharacteristic
352#889—21no—
353#889—21no—
354#889—21no—
355#889—21no—
356#889—21no—
357#889—21no—
358#889—21no—
359#889—21no—
360#889D411yescharacteristic
361#889D411yescharacteristic
362#888—21no—
363#888—21no—
364#888—21no—
365#888D411yescharacteristic
366#888C2311yescharacteristic
367#888C2311yescharacteristic
368#887—21no—
369#887—21no—
370#887—21no—
371#887—21no—
372#887—21no—
373#887—21no—
374#887—21no—
375#887C2311yescharacteristic
376#887C2311yescharacteristic
377#887C2311yescharacteristic
378#887C2311yescharacteristic
379#886—21no—
380#885—21no—
381#885—21no—
382#885—21no—
383#885—21no—
384#884—21no—
385#884—21no—
386#883—21no—
387#883—21no—
388#882—21no—
389#882—21no—
390#67⋊C4—21no—
391#67⋊C4—21no—
392D3×C22⋊C4—21no—
393D3×C22⋊C4—21no—
394D3×C22⋊C4—21no—
395#879—21no—
396#879—21no—
397#878—21no—
398#877—21no—
399#876—21no—
400#875—21no—
401#875C2311yescharacteristic
402#875C2311yescharacteristic
403#874C2311yescharacteristic
404C4×D12—21no—
405C4×D12—21no—
406C4×D12C2311yescharacteristic
407C4×D12C2311yescharacteristic
408#872—21no—
409#872—21no—
410#872—21no—
411#872—21no—
412#872C2311yescharacteristic
413#872C2311yescharacteristic
414C42×D3—21no—
415C42×D3—21no—
416C42×D3C2311yescharacteristic
417#870—21no—
418#870—21no—
419#870C2311yescharacteristic
420#870C2311yescharacteristic
421#869—21no—
422#869C2311yescharacteristic
423C4×Dic6—21no—
424C4×Dic6—21no—
425C4×Dic6—21no—
426C4×Dic6—21no—
427C4×Dic6—21no—
428C4×Dic6—21no—
429C4×Dic6—21no—
430C4×Dic6C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C4×Dic6C2311yescharacteristic
433C4×Dic6C2311yescharacteristic
434C4×Dic6C2311yescharacteristic
435C4×Dic6C2311yescharacteristic
436C4×Dic6C2311yescharacteristic
437C3×#106C2311yescharacteristic
438C3×#106C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×C4⋊C8C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×C4⋊C8C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#103C2311yescharacteristic
447C3×#103C2311yescharacteristic
448C3×#103C2311yescharacteristic
449C3×#103C2311yescharacteristic
450C3×#102C2311yescharacteristic
451C3×#102C2311yescharacteristic
452C3×#102C2311yescharacteristic
453C3×#97C2311yescharacteristic
454C3×#97C2311yescharacteristic
455C3×C4×C8C2311yescharacteristic
456#835C2311yescharacteristic
457#835C2311yescharacteristic
458#835C2311yescharacteristic
459#835C2311yescharacteristic
460#835C2311yescharacteristic
461#835C2311yescharacteristic
462#835C2311yescharacteristic
463#832C2311yescharacteristic
464#832C2311yescharacteristic
465#832C2311yescharacteristic
466#821C2311yescharacteristic
467#821C2311yescharacteristic
468#821C2311yescharacteristic
469#821C2311yescharacteristic
470#821C2311yescharacteristic
471#821C2311yescharacteristic
472#818C2311yescharacteristic
473#817C2311yescharacteristic
474#817C2311yescharacteristic
475#816C2311yescharacteristic
476#816C2311yescharacteristic
477#816C2311yescharacteristic
478#816C2311yescharacteristic
479#815C2311yescharacteristic
480#815C2311yescharacteristic
481Dic3⋊C8C2311yescharacteristic
482Dic3⋊C8C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487C8×Dic3C2311yescharacteristic
488C8×Dic3C2311yescharacteristic
489C8×Dic3C2311yescharacteristic
490C8×Dic3C2311yescharacteristic
491#810C2311yescharacteristic
492#810C2311yescharacteristic
493#810C2311yescharacteristic
494#810C2311yescharacteristic
495#809C2311yescharacteristic
496#809C2311yescharacteristic
497#809C2311yescharacteristic
498#809C2311yescharacteristic
499#809C2311yescharacteristic
500#809C2311yescharacteristic
501#808C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
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×#137—31no—
514C22×Q16—31no—
515C22×SD16—31no—
516#559—31no—
517#559—31no—
518#559—31no—
519#559—31no—
520Q82—31no—
521Q82—61no—
522Q82C2×D311yescharacteristic, complemented
523#557—31no—
524#557—31no—
525#557—31no—
526#557—31no—
527#557—31no—
528#557—31no—
529#557—61no—
530#557—61no—
531#557—61no—
532#556—31no—
533#556—31no—
534#556—31no—
535#556C2×D311yescharacteristic
536#551—61no—
537#551—61no—
538#551—61no—
539#551—61no—
540#544—31no—
541#544—31no—
542#544—61no—
543#544—61no—
544#542—61no—
545#542—61no—
546#536—31no—
547#535—31no—
548#533—31no—
549#533—31no—
550#533—61no—
551#533—61no—
552#529—61no—
553#529—61no—
554C2×#124—31no—
555#519—31no—
556#519—31no—
557#519—31no—
558#518—31no—
559C4×#41—31no—
560C2×C4×Q8—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#489C2×D311yescharacteristic
572#489C2×D311yescharacteristic
573#488—31no—
574#488—31no—
575#488—31no—
576#488—31no—
577#488—31no—
578#488—31no—
579#488—31no—
580#488—31no—
581#487—31no—
582#487C2×D311yescharacteristic, complemented
583#486—31no—
584#486—31no—
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#478—31no—
596#478—31no—
597#477—31no—
598#477—31no—
599#477—31no—
600#476—31no—
601#476—31no—
602#476C2×D311yescharacteristic
603#475—31no—
604#475C2×D311yescharacteristic, complemented
605#475C2×D311yescharacteristic, complemented
606#474—31no—
607#474—31no—
608#474—31no—
609#464—31no—
610#464—31no—
611#464—31no—
612#464—31no—
613#464—31no—
614#464—31no—
615#464—31no—
616#464—31no—
617#464—31no—
618#464—31no—
619#464—31no—
620#464—31no—
621#464—31no—
622#464—31no—
623#464C2×D311yescharacteristic
624#464C2×D311yescharacteristic
625#462—31no—
626#462—31no—
627#462—31no—
628#462C2×D311yescharacteristic, complemented
629#460—31no—
630#460—31no—
631#460—31no—
632#460—31no—
633#446—31no—
634#446—31no—
635#446—31no—
636#446—31no—
637#446—31no—
638#446C2×D311yescharacteristic, complemented
639C8×Q8—31no—
640C8×Q8—31no—
641#441—31no—
642#441—31no—
643#441—31no—
644#441—31no—
645#441C2×D311yescharacteristic, complemented
646#441C2×D311yescharacteristic, complemented
647#440—31no—
648#440—31no—
649#440—31no—
650#440—31no—
651#440—31no—
652#440—31no—
653C4×Q16—31no—
654C4×Q16—31no—
655C4×Q16—31no—
656C4×Q16—31no—
657C4×Q16—31no—
658C4×Q16—31no—
659C4×SD16—31no—
660C4×SD16—31no—
661C4×SD16—31no—
662C4×SD16—31no—
663C4×SD16—31no—
664C4×SD16C2×D311yescharacteristic
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#419—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—
685C2×C3×Q8—21no—
686C2×C3×Q8—21no—
687C2×C3×Q8—21no—
688C2×C3×Q8C2×D411yescharacteristic
689C2×C3×Q8C2411yescharacteristic
690C2×C3×Q8C2411yescharacteristic
691C2×C3×Q8C2411yescharacteristic
692C2×C3×D4C2411yescharacteristic
693C22×C3×C4—21no—
694C2×#67—21no—
695C2×#67—21no—
696C2×#67—21no—
697C22×Dic3—21no—
698#239—22no—
699#239—22no—
700D3×Q8—22no—
701D3×Q8—22no—
702D3×Q8—22no—
703D3×Q8#4114yes—
704D3×D4—22no—
705D3×D4—22no—
706C2×D12—21no—
707C2×D12—21no—
708C2×D12—21no—
709C2×D12C2411yescharacteristic
710C2×D12C2411yescharacteristic
711C2×C4×D3—21no—
712C2×C4×D3—21no—
713C2×C4×D3—21no—
714C2×C4×D3—21no—
715C2×C4×D3—21no—
716C2×C4×D3—21no—
717C2×C4×D3—21no—
718C2×C4×D3—21no—
719C2×C4×D3C2×D411yescharacteristic
720C2×C4×D3C2×D411yescharacteristic
721C2×C4×D3C2411yescharacteristic
722C2×Dic6—21no—
723C2×Dic6—21no—
724C2×Dic6—21no—
725C2×Dic6—21no—
726C2×Dic6—21no—
727C2×Dic6C2×D411yescharacteristic
728C2×Dic6C2×D411yescharacteristic
729C2×Dic6C2×D411yescharacteristic
730C2×Dic6C2411yescharacteristic
731C2×Dic6C2411yescharacteristic
732C3×Q16—22no—
733C3×Q16—22no—
734C3×SD16—22no—
735C2×C3×C8C2411yescharacteristic
736C2×C3×C8C2411yescharacteristic
737C2×C3×C8C2411yescharacteristic
738C2×C3×C8C2411yescharacteristic
739C3×C4⋊C4—21no—
740C3×C4⋊C4—21no—
741C3×C4⋊C4—21no—
742C3×C4⋊C4—21no—
743C3×C4⋊C4—21no—
744C3×C4⋊C4—21no—
745C3×C4⋊C4—21no—
746C3×C4⋊C4—21no—
747C3×C4⋊C4—21no—
748C3×C4⋊C4—21no—
749C3×C4⋊C4C2×D411yescharacteristic
750C3×C4⋊C4C2×D411yescharacteristic
751C3×C4⋊C4C2×D411yescharacteristic
752C3×C4⋊C4C2411yescharacteristic
753C3×C4⋊C4C2411yescharacteristic
754C3×C4⋊C4C2411yescharacteristic
755C3×C4⋊C4C2411yescharacteristic
756C3×C22⋊C4—21no—
757C3×C22⋊C4—21no—
758C3×C22⋊C4—21no—
759C3×C22⋊C4—21no—
760C3×C22⋊C4—21no—
761C3×C42—21no—
762C3×C42—21no—
763C3×C42—21no—
764C3×C42—21no—
765C3×C42—21no—
766C3×C42C2411yescharacteristic
767C3×C42C2411yescharacteristic
768C3×C42C2411yescharacteristic
769#217—21no—
770#217—21no—
771#217—21no—
772#216—22no—
773#216—22no—
774#216—22no—
775#215—22no—
776#215—22no—
777#214—22no—
778(C2×D3)⋊C4—21no—
779(C2×D3)⋊C4—21no—
780(C2×D3)⋊C4—21no—
781(C2×D3)⋊C4—21no—
782(C2×D3)⋊C4—21no—
783(C2×D3)⋊C4—21no—
784(C2×D3)⋊C4—21no—
785(C2×D3)⋊C4—21no—
786(C2×D3)⋊C4—21no—
787(C2×D3)⋊C4—21no—
788(C2×D3)⋊C4—21no—
789(C2×D3)⋊C4—21no—
790(C2×D3)⋊C4—21no—
791(C2×D3)⋊C4—21no—
792(C2×D3)⋊C4—21no—
793(C2×D3)⋊C4—21no—
794(C2×D3)⋊C4—21no—
795(C2×D3)⋊C4C2×D411yescharacteristic
796(C2×D3)⋊C4C2×D411yescharacteristic
797(C2×D3)⋊C4C2×D411yescharacteristic
798(C2×D3)⋊C4C2×D411yescharacteristic
799C4⋊Dic3—21no—
800C4⋊Dic3—21no—
801C4⋊Dic3—21no—
802C4⋊Dic3—21no—
803C4⋊Dic3—21no—
804C4⋊Dic3—21no—
805C4⋊Dic3—21no—
806C4⋊Dic3—21no—
807C4⋊Dic3—21no—
808C4⋊Dic3—21no—
809C4⋊Dic3C2×D411yescharacteristic
810C4⋊Dic3C2×D411yescharacteristic
811C4⋊Dic3C2×D411yescharacteristic
812C4⋊Dic3C2411yescharacteristic
813C4⋊Dic3C2411yescharacteristic
814C4⋊Dic3C2411yescharacteristic
815C4⋊Dic3C2411yescharacteristic
816Dic3⋊C4—21no—
817Dic3⋊C4—21no—
818Dic3⋊C4—21no—
819Dic3⋊C4—21no—
820Dic3⋊C4—21no—
821Dic3⋊C4—21no—
822Dic3⋊C4—21no—
823Dic3⋊C4—21no—
824Dic3⋊C4—21no—
825Dic3⋊C4—21no—
826Dic3⋊C4—21no—
827Dic3⋊C4—21no—
828Dic3⋊C4—21no—
829Dic3⋊C4—21no—
830Dic3⋊C4—21no—
831Dic3⋊C4—21no—
832Dic3⋊C4—21no—
833Dic3⋊C4—21no—
834Dic3⋊C4—21no—
835Dic3⋊C4—21no—
836Dic3⋊C4—21no—
837Dic3⋊C4C2×D411yescharacteristic
838Dic3⋊C4C2×D411yescharacteristic
839Dic3⋊C4C2×D411yescharacteristic
840Dic3⋊C4C2×D411yescharacteristic
841Dic3⋊C4C2×D411yescharacteristic
842Dic3⋊C4C2×D411yescharacteristic
843Dic3⋊C4C2×D411yescharacteristic
844Dic3⋊C4C2×D411yescharacteristic
845Dic3⋊C4C2×D411yescharacteristic
846Dic3⋊C4C2×D411yescharacteristic
847C4×Dic3—21no—
848C4×Dic3—21no—
849C4×Dic3—21no—
850C4×Dic3—21no—
851C4×Dic3—21no—
852C4×Dic3—21no—
853C4×Dic3—21no—
854C4×Dic3—21no—
855C4×Dic3—21no—
856C4×Dic3—21no—
857C4×Dic3—21no—
858C4×Dic3—21no—
859C4×Dic3—21no—
860C4×Dic3—21no—
861C4×Dic3—21no—
862C4×Dic3—21no—
863C4×Dic3C2×D411yescharacteristic
864C4×Dic3C2×D411yescharacteristic
865C4×Dic3C2411yescharacteristic
866C4×Dic3C2411yescharacteristic
867C4×Dic3C2411yescharacteristic
868C2×C3⋊C8C2411yescharacteristic
869C2×C3⋊C8C2411yescharacteristic
870C2×C3⋊C8C2411yescharacteristic
871C2×C3⋊C8C2411yescharacteristic
872Dic12—22no—
873#204—22no—
874#204—22no—
875ΓL(1,𝔽25)—22no—
876ΓL(1,𝔽25)—22no—
877D3×C8—22no—
878D3×C8—22no—
879C2×#41—31no—
880C22×Q8—31no—
881C22×Q8—31no—
882C22×D4—31no—
883#137—64no—
884C2×Q16—31no—
885C2×Q16—31no—
886C2×Q16—31no—
887C2×Q16—31no—
888C2×Q16—64no—
889C2×Q16C22×D311yescharacteristic
890C2×Q16C22×D311yescharacteristic
891C2×SD16—31no—
892C2×SD16—31no—
893C2×SD16—31no—
894C2×SD16—31no—
895C2×SD16—31no—
896C2×SD16—64no—
897C2×SD16C22×D311yescharacteristic
898C2×M16—31no—
899C2×M16—31no—
900C22×C8—31no—
901C22×C8—31no—
902C4⋊Q8—21no—
903C4⋊Q8—21no—
904C4⋊Q8—21no—
905C4⋊Q8—31no—
906C4⋊Q8—31no—
907C4⋊Q8—31no—
908C4⋊Q8—31no—
909C4⋊Q8—31no—
910C4⋊Q8—31no—
911C4⋊Q8—61no—
912C4⋊Q8—61no—
913C4⋊Q8—61no—
914C4⋊Q8—61no—
915C4⋊Q8—61no—
916C4⋊Q8—61no—
917C4⋊Q8—61no—
918C4⋊Q8—61no—
919C4⋊Q8—61no—
920C4⋊Q8—61no—
921C4⋊Q8—61no—
922C4⋊Q8C22×D311yescharacteristic
923C4⋊Q8C22×D311yescharacteristic
924C4⋊Q8C22×D311yescharacteristic
925C4⋊Q8C22×D311yescharacteristic
926#127—31no—
927#127—31no—
928#126—21no—
929#126—21no—
930#126—61no—
931#126—61no—
932#126—61no—
933#126—61no—
934#126—61no—
935#126—61no—
936#125—31no—
937#125—31no—
938#125—31no—
939#125—31no—
940#125—31no—
941#125—31no—
942#125—31no—
943#125—31no—
944#125—61no—
945#125—61no—
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#125—61no—
956#125—61no—
957#125—61no—
958#124—31no—
959#124—31no—
960#124—31no—
961#124—31no—
962#124—31no—
963#124—31no—
964#124—61no—
965#124—61no—
966#124—61no—
967#124—61no—
968#124—61no—
969#124—61no—
970#124C22×D311yescharacteristic
971#124C22×D311yescharacteristic
972#123—61no—
973#123—61no—
974#123—61no—
975#123—61no—
976#123—61no—
977#123—61no—
978#123—61no—
979#123—61no—
980#123—61no—
981#123—61no—
982C22⋊Q8—21no—
983C22⋊Q8—31no—
984C22⋊Q8—31no—
985C22⋊Q8—31no—
986C22⋊Q8—31no—
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—
998#121—61no—
999#121—61no—
1000#120—61no—
1001#120—61no—
1002C4×Q8—21no—
1003C4×Q8—31no—
1004C4×Q8—31no—
1005C4×Q8—31no—
1006C4×Q8—31no—
1007C4×Q8—31no—
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—31no—
1017C4×Q8—31no—
1018C4×Q8—31no—
1019C4×Q8—61no—
1020C4×Q8—61no—
1021C4×Q8—61no—
1022C4×Q8—61no—
1023C4×Q8—61no—
1024C4×Q8—61no—
1025C4×Q8—61no—
1026C4×Q8—61no—
1027C4×Q8—61no—
1028C4×Q8—61no—
1029C4×Q8—61no—
1030C4×Q8—61no—
1031C4×Q8—61no—
1032C4×Q8—61no—
1033C4×Q8—61no—
1034C4×Q8—61no—
1035C4×Q8—61no—
1036C4×Q8C22×D311yescharacteristic
1037C4×Q8C22×D311yescharacteristic
1038C4×Q8C22×D311yescharacteristic
1039C4×Q8C22×D311yescharacteristic
1040C4×Q8C22×D311yescharacteristic
1041C4×Q8C22×D311yescharacteristic
1042C4×D4—31no—
1043C4×D4—31no—
1044C4×D4—31no—
1045C4×D4—31no—
1046C4×D4—31no—
1047C4×D4—61no—
1048C4×D4—61no—
1049C4×D4—61no—
1050C4×D4—61no—
1051C4×D4—61no—
1052C4×D4—61no—
1053C4×D4—61no—
1054C4×D4—61no—
1055C4×D4C22×D311yescharacteristic
1056#117—21no—
1057#117—31no—
1058#117—31no—
1059#117—31no—
1060#117—31no—
1061#117—31no—
1062#117—61no—
1063#117—61no—
1064#117—61no—
1065#117—61no—
1066#117—61no—
1067#117—61no—
1068#117—61no—
1069#117—61no—
1070#117—61no—
1071#117—61no—
1072C2×C4⋊C4—31no—
1073C2×C4⋊C4—61no—
1074C2×C22⋊C4—61no—
1075C2×C22⋊C4—61no—
1076C2×C22⋊C4—61no—
1077C2×C22⋊C4—61no—
1078C2×C42—31no—
1079C2×C42—61no—
1080C2×C42—61no—
1081#107—31no—
1082#107—31no—
1083#107—31no—
1084#107—31no—
1085#107—31no—
1086#107—31no—
1087#106—31no—
1088#106—31no—
1089#106—31no—
1090#106C22×D311yescharacteristic
1091#106C22×D311yescharacteristic
1092#106C22×D311yescharacteristic
1093C4⋊C8—31no—
1094C4⋊C8—31no—
1095C4⋊C8—31no—
1096C4⋊C8—31no—
1097C4⋊C8—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8C22×D311yescharacteristic
1103C4⋊C8C22×D311yescharacteristic
1104C4⋊C8C22×D311yescharacteristic
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#103C22×D311yescharacteristic
1121#103C22×D311yescharacteristic
1122#103C22×D311yescharacteristic
1123#103C22×D311yescharacteristic
1124#103C22×D311yescharacteristic
1125#103C22×D311yescharacteristic
1126#103C22×D311yescharacteristic
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#102—31no—
1142#102C22×D311yescharacteristic
1143#102C22×D311yescharacteristic
1144#102C22×D311yescharacteristic
1145#97—31no—
1146#97—31no—
1147#97—31no—
1148#97—31no—
1149#97C22×D311yescharacteristic
1150#97C22×D311yescharacteristic
1151C4×C8—31no—
1152C4×C8—31no—
1153C4×C8—31no—
1154C4×C8—31no—
1155C4×C8—31no—
1156C4×C8C22×D311yescharacteristic
1157C23×C3—21no—
1158C22×D3—21no—
1159C22×D3—21no—
1160C22×D3—42no—
1161C22×D3—81no—
1162C22×D3—81no—
1163C22×D3C22×D411yescharacteristic
1164C3×Q8—21no—
1165C3×Q8—21no—
1166C3×Q8—21no—
1167C3×Q8—21no—
1168C3×Q8—21no—
1169C3×Q8—41no—
1170C3×Q8—81no—
1171C3×Q8—81no—
1172C3×Q8—81no—
1173C3×Q8C2×#4112yes—
1174C3×D4—21no—
1175C3×D4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—81no—
1184C2×C3×C4C22×D411yescharacteristic
1185C2×C3×C4C22×D411yescharacteristic
1186C2×C3×C4C22×D411yescharacteristic
1187C2×C3×C4C22×D411yescharacteristic
1188C2×C3×C4C22×D411yescharacteristic
1189C2×C3×C4C22×D411yescharacteristic
1190C2×C3×C4C2511yescharacteristic
1191#67—42no—
1192#67—81no—
1193#67—81no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—81no—
1201C2×Dic3C22×D411yescharacteristic
1202C2×Dic3C22×D411yescharacteristic
1203C2×Dic3C22×D411yescharacteristic
1204C2×Dic3C22×D411yescharacteristic
1205C2×Dic3C22×D411yescharacteristic
1206C2×Dic3C22×D411yescharacteristic
1207C2×Dic3C22×D411yescharacteristic
1208D12—21no—
1209D12—21no—
1210D12—21no—
1211D12—21no—
1212D12—42no—
1213D12—81no—
1214D12—81no—
1215C4×D3—24no—
1216C4×D3—41no—
1217C4×D3—41no—
1218C4×D3—42no—
1219C4×D3—42no—
1220C4×D3—81no—
1221C4×D3—81no—
1222C4×D3—81no—
1223C4×D3—81no—
1224C4×D3—81no—
1225C4×D3C2×#4112yes—
1226C4×D32−1+412yes—
1227Dic6—21no—
1228Dic6—24no—
1229Dic6—21no—
1230Dic6—21no—
1231Dic6—41no—
1232Dic6—41no—
1233Dic6—41no—
1234Dic6—42no—
1235Dic6—42no—
1236Dic6—81no—
1237Dic6—81no—
1238Dic6C2×#4112yes—
1239C3×C8—21no—
1240C3×C8—21no—
1241C3×C8—21no—
1242C3×C8—21no—
1243C3⋊C8—21no—
1244C3⋊C8—21no—
1245C3⋊C8—21no—
1246C3⋊C8—21no—
1247C24—61no—
1248#41—62no—
1249#41—62no—
1250C2×Q8—21no—
1251C2×Q8—21no—
1252C2×Q8—21no—
1253C2×Q8—31no—
1254C2×Q8—31no—
1255C2×Q8—31no—
1256C2×Q8—34no—
1257C2×Q8—31no—
1258C2×Q8—31no—
1259C2×Q8—61no—
1260C2×Q8—61no—
1261C2×Q8—61no—
1262C2×Q8—61no—
1263C2×Q8—62no—
1264C2×Q8—62no—
1265C2×Q8—62no—
1266C2×Q8—61no—
1267C2×Q8D3×D411yescharacteristic
1268C2×Q8C23×D311yescharacteristic
1269C2×Q8C23×D311yescharacteristic
1270C2×Q8C23×D311yescharacteristic
1271C2×D4—31no—
1272C2×D4—31no—
1273C2×D4—61no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—61no—
1277C2×D4—61no—
1278C2×D4—61no—
1279C2×D4—61no—
1280C2×D4—61no—
1281C2×D4C23×D311yescharacteristic
1282C22×C4—21no—
1283C22×C4—31no—
1284C22×C4—31no—
1285C22×C4—31no—
1286C22×C4—61no—
1287C22×C4—61no—
1288C22×C4—61no—
1289C22×C4—61no—
1290C22×C4—61no—
1291C22×C4—61no—
1292C22×C4—61no—
1293C22×C4—61no—
1294C22×C4—61no—
1295Q16—22no—
1296Q16—22no—
1297Q16—62no—
1298Q16—62no—
1299Q16—62no—
1300Q16—62no—
1301SD16—22no—
1302SD16—62no—
1303SD16—62no—
1304SD16—62no—
1305SD16—62no—
1306SD16—62no—
1307M16—62no—
1308M16—62no—
1309C2×C8—31no—
1310C2×C8—31no—
1311C2×C8—31no—
1312C2×C8—31no—
1313C2×C8—62no—
1314C2×C8—62no—
1315C2×C8C23×D311yescharacteristic
1316C2×C8C23×D311yescharacteristic
1317C2×C8C23×D311yescharacteristic
1318C2×C8C23×D311yescharacteristic
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—31no—
1330C4⋊C4—31no—
1331C4⋊C4—31no—
1332C4⋊C4—31no—
1333C4⋊C4—31no—
1334C4⋊C4—31no—
1335C4⋊C4—31no—
1336C4⋊C4—31no—
1337C4⋊C4—31no—
1338C4⋊C4—31no—
1339C4⋊C4—31no—
1340C4⋊C4—31no—
1341C4⋊C4—31no—
1342C4⋊C4—31no—
1343C4⋊C4—31no—
1344C4⋊C4—31no—
1345C4⋊C4—31no—
1346C4⋊C4—61no—
1347C4⋊C4—61no—
1348C4⋊C4—61no—
1349C4⋊C4—61no—
1350C4⋊C4—61no—
1351C4⋊C4—61no—
1352C4⋊C4—61no—
1353C4⋊C4—61no—
1354C4⋊C4—61no—
1355C4⋊C4—61no—
1356C4⋊C4—61no—
1357C4⋊C4—61no—
1358C4⋊C4—61no—
1359C4⋊C4—61no—
1360C4⋊C4—61no—
1361C4⋊C4—61no—
1362C4⋊C4—61no—
1363C4⋊C4—61no—
1364C4⋊C4—61no—
1365C4⋊C4—61no—
1366C4⋊C4—61no—
1367C4⋊C4—61no—
1368C4⋊C4—61no—
1369C4⋊C4—61no—
1370C4⋊C4—61no—
1371C4⋊C4—61no—
1372C4⋊C4—61no—
1373C4⋊C4—61no—
1374C4⋊C4—61no—
1375C4⋊C4—61no—
1376C4⋊C4—61no—
1377C4⋊C4D3×D411yescharacteristic
1378C4⋊C4D3×D411yescharacteristic
1379C4⋊C4D3×D411yescharacteristic
1380C4⋊C4C23×D311yescharacteristic
1381C4⋊C4C23×D311yescharacteristic
1382C4⋊C4C23×D311yescharacteristic
1383C4⋊C4C23×D311yescharacteristic
1384C22⋊C4—21no—
1385C22⋊C4—21no—
1386C22⋊C4—21no—
1387C22⋊C4—21no—
1388C22⋊C4—21no—
1389C22⋊C4—31no—
1390C22⋊C4—31no—
1391C22⋊C4—31no—
1392C22⋊C4—31no—
1393C22⋊C4—61no—
1394C22⋊C4—61no—
1395C22⋊C4—61no—
1396C22⋊C4—61no—
1397C22⋊C4—61no—
1398C22⋊C4—61no—
1399C22⋊C4—61no—
1400C22⋊C4—61no—
1401C22⋊C4—61no—
1402C22⋊C4—61no—
1403C22⋊C4—61no—
1404C22⋊C4—61no—
1405C22⋊C4—61no—
1406C22⋊C4—61no—
1407C22⋊C4—61no—
1408C22⋊C4—61no—
1409C22⋊C4—61no—
1410C22⋊C4—61no—
1411C22⋊C4—61no—
1412C22⋊C4—61no—
1413C42—21no—
1414C42—21no—
1415C42—21no—
1416C42—21no—
1417C42—21no—
1418C42—31no—
1419C42—31no—
1420C42—31no—
1421C42—31no—
1422C42—31no—
1423C42—61no—
1424C42—61no—
1425C42—61no—
1426C42—61no—
1427C42—61no—
1428C42—61no—
1429C42—61no—
1430C42—61no—
1431C42—61no—
1432C42—61no—
1433C42—61no—
1434C42—61no—
1435C42—61no—
1436C42—61no—
1437C42—61no—
1438C42—61no—
1439C42C23×D311yescharacteristic
1440C42C23×D311yescharacteristic
1441C42C23×D311yescharacteristic
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3C23×D411yescharacteristic
1446C2×D3—21no—
1447C2×D3—21no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—162no—
1455C2×D3#54812yes—
1456C3×C4—21no—
1457C3×C4—21no—
1458C3×C4—21no—
1459C3×C4—21no—
1460C3×C4—21no—
1461C3×C4—21no—
1462C3×C4—22no—
1463C3×C4—41no—
1464C3×C4—41no—
1465C3×C4—41no—
1466C3×C4—41no—
1467C3×C4—41no—
1468C3×C4—41no—
1469C3×C4C22×#4111yescharacteristic
1470C3×C4C2×2−1+411yescharacteristic
1471Dic3—21no—
1472Dic3—21no—
1473Dic3—21no—
1474Dic3—21no—
1475Dic3—21no—
1476Dic3—21no—
1477Dic3—22no—
1478Dic3—41no—
1479Dic3—41no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3#54812yes—
1484C23—21no—
1485C23—31no—
1486C23—61no—
1487C23—61no—
1488C23—122no—
1489C23—241no—
1490C23—241no—
1491Q8—21no—
1492Q8—21no—
1493Q8—21no—
1494Q8—21no—
1495Q8—21no—
1496Q8—32no—
1497Q8—41no—
1498Q8—64no—
1499Q8—61no—
1500Q8—61no—
1501Q8—61no—
1502Q8—81no—
1503Q8—81no—
1504Q8—81no—
1505Q8—121no—
1506Q8—121no—
1507Q8—121no—
1508Q8—122no—
1509Q8—122no—
1510Q8—241no—
1511Q8—241no—
1512Q8D3×#4112yes—
1513D4—21no—
1514D4—21no—
1515D4—61no—
1516D4—61no—
1517D4—61no—
1518D4—61no—
1519D4—122no—
1520D4—122no—
1521D4—241no—
1522D4—241no—
1523D4—241no—
1524D4—241no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—31no—
1533C2×C4—32no—
1534C2×C4—32no—
1535C2×C4—31no—
1536C2×C4—31no—
1537C2×C4—31no—
1538C2×C4—31no—
1539C2×C4—31no—
1540C2×C4—31no—
1541C2×C4—64no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—81no—
1549C2×C4—121no—
1550C2×C4—121no—
1551C2×C4—122no—
1552C2×C4—122no—
1553C2×C4—241no—
1554C2×C4—241no—
1555C2×C4—241no—
1556C2×C4—241no—
1557C2×C4—241no—
1558C2×C4—241no—
1559C2×C4C2×D3×D411yescharacteristic
1560C2×C4C2×D3×D411yescharacteristic
1561C2×C4C2×D3×D411yescharacteristic
1562C2×C4C2×D3×D411yescharacteristic
1563C2×C4C2×D3×D411yescharacteristic
1564C2×C4C2×D3×D411yescharacteristic
1565C2×C4C24×D311yescharacteristic
1566C8—21no—
1567C8—21no—
1568C8—21no—
1569C8—21no—
1570C8—61no—
1571C8—61no—
1572C8—61no—
1573C8—61no—
1574C2×C3—81no—
1575C2×C3C2×#54811yescharacteristic
1576C2×C3#358411yescharacteristic
1577C2×C3#358611yescharacteristic
1578D3—22no—
1579D3—81no—
1580D3—81no—
1581C22—32no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—61no—
1586C22—61no—
1587C22—121no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—482no—
1594C22C22×D3×D411yescharacteristic
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—22no—
1602C4—32no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—61no—
1610C4—61no—
1611C4—61no—
1612C4—61no—
1613C4—61no—
1614C4—61no—
1615C4—62no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C4—121no—
1620C4—121no—
1621C4C2×D3×#4111yescharacteristic
1622C4D3×2−1+411yescharacteristic
1623C3#6134411yescharacteristic, complemented, Sylow
1624C2—62no—
1625C2—81no—
1626C2—241no—
1627C2—241no—
1628C2D3×#54811yescharacteristic
1629C2#8719711yescharacteristic
1630C2#8720611yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3369C2
socleC22×C3C23×D4
prime radical#5674C22
hypercenter#3369D3
hypocenterC3#61344
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3369

Complements

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

NH ≅ G/Ntype
1. #87046C2semidirect
3. C3×#3369C2semidirect
4. #83708C2semidirect
5. #83678C2semidirect
6. #81682C2semidirect
8. #81677C2semidirect
9. #81675C2semidirect
10. #81625C2semidirect
11. #81599C2semidirect
12. #81062C2semidirect
13. #81051C2semidirect
14. #81041C2semidirect
15. #81013C2semidirect
16. #81010C2semidirect
17. #81004C2semidirect
19. D3×#464C2semidirect
20. #80584C2semidirect
21. #80580C2semidirect
22. #80478C2semidirect
23. #80467C2semidirect
24. #79982C2semidirect
25. #79961C2semidirect
26. #79831C2semidirect
27. #79829C2semidirect
28. #79818C2semidirect
29. #79816C2semidirect
30. #79649C2semidirect
31. #79624C2semidirect
33. C3×Q82C22semidirect
47. #5722C22semidirect
50. #5721C22semidirect
51. #5721C22semidirect
71. #5570C22semidirect
72. #5569C22semidirect
73. #5569C22semidirect
76. #5567C22semidirect
83. C3×#487C22semidirect
85. C3×#475C22semidirect
86. C3×#475C22semidirect
89. C3×#462C22semidirect
90. C3×#446C22semidirect
91. C3×#441C22semidirect
92. C3×#441C22semidirect
96. #5185C22semidirect
97. #5184C22semidirect
98. #5182C22semidirect
99. Dic3×Q16C22semidirect
103. #5091C22semidirect
104. #5090C22semidirect
106. #5089C22semidirect
109. #5087C22semidirect
110. #5082C22semidirect
115. #5030C22semidirect
116. C4×#216C22semidirect
117. C4×#216C22semidirect
119. #5028C22semidirect
122. #5026C22semidirect
123. #5024C22semidirect
124. #5022C22semidirect
125. #5021C22semidirect
129. #4871C22semidirect
130. #4871C22semidirect
135. #4857C22semidirect
136. #4854C22semidirect
137. #4853C22semidirect
139. #4852C22semidirect
143. #4845C22semidirect
144. #4842C22semidirect
148. #4830C22semidirect
149. #4829C22semidirect
150. #4828C22semidirect
151. #4828C22semidirect
163. #4800C22semidirect
164. #4799C22semidirect
165. #4799C22semidirect
166. #4799C22semidirect
169. #4798C22semidirect
170. #4797C22semidirect
171. #4795C22semidirect
173. #4794C22semidirect
174. #4793C22semidirect
175. #4792C22semidirect
176. #4790C22semidirect
177. #4790C22semidirect
178. #4790C22semidirect
179. #4788C22semidirect
192. #4716C22semidirect
195. #4710C22semidirect
198. #4701C22semidirect
199. #4701C22semidirect
200. #4697C22semidirect
203. C8×Dic6C22semidirect
217. #3369D3semidirect
522. Q82C2×D3semidirect
582. #487C2×D3semidirect
604. #475C2×D3semidirect
605. #475C2×D3semidirect
628. #462C2×D3semidirect
638. #446C2×D3semidirect
645. #441C2×D3semidirect
646. #441C2×D3semidirect
1623. C3#61344semidirect

Maximal subgroups

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

subgroupindex
#870462
#869842
C3×#33692
#837082
#836782
#816822
#816802
#816772
#816752
#816252
#815992
#810622
#810512
#810412
#810132
#810102
#810042
#806002
D3×#4642
#805842
#805802
#804782
#804672
#799822
#799612
#798312
#798292
#798182
#798162
#796492
#796242
#613443