Finite Group Databasebeta

← #11675405

Subgroups — #11675405

Order 768.

1844 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#87032C211yesmaximal, characteristic, complemented
2#86771C211yesmaximal, characteristic
3C3×#3368C211yesmaximal, characteristic, complemented
4#83691C211yesmaximal, characteristic, complemented
5#83587C211yesmaximal, characteristic, complemented
6#81715C211yesmaximal, characteristic, complemented
7#81714C211yesmaximal, characteristic, complemented
8#81711C211yesmaximal, characteristic, complemented
9#81709C211yesmaximal, characteristic, complemented
10#81588C211yesmaximal, characteristic, complemented
11#81563C211yesmaximal, characteristic, complemented
12#81168C211yesmaximal, characteristic, complemented
13#81165C211yesmaximal, characteristic, complemented
14#81153C211yesmaximal, characteristic, complemented
15#81151C211yesmaximal, characteristic, complemented
16#80967C211yesmaximal, characteristic, complemented
17#80956C211yesmaximal, characteristic, complemented
18#80385C211yesmaximal, characteristic, complemented
19#80385C211yesmaximal, characteristic, complemented
20D3×#460C211yesmaximal, characteristic, complemented
21#80373C211yesmaximal, characteristic, complemented
22#80372C211yesmaximal, characteristic, complemented
23#80369C211yesmaximal, characteristic, complemented
24#79982C211yesmaximal, characteristic, complemented
25#79961C211yesmaximal, characteristic, complemented
26#79777C211yesmaximal, characteristic, complemented
27#79774C211yesmaximal, characteristic, complemented
28#79756C211yesmaximal, characteristic, complemented
29#79752C211yesmaximal, characteristic, complemented
30#79649C211yesmaximal, characteristic, complemented
31#79624C211yesmaximal, characteristic, complemented
32#61341—31nomaximal, Sylow
33C3×#557C2211yescharacteristic, complemented
34C3×#550C2211yescharacteristic
35#5832—21no—
36#5829—21no—
37C2×#915C2211yescharacteristic
38C2×D3×SD16C2211yescharacteristic
39C2×D3×SD16C2211yescharacteristic
40#5729—21no—
41#5729C2211yescharacteristic
42#5722—21no—
43#5722C2211yescharacteristic, complemented
44#5718C2211yescharacteristic
45#5718C2211yescharacteristic
46#5715C2211yescharacteristic
47#5715C2211yescharacteristic
48D3×#127C2211yescharacteristic
49#5713C2211yescharacteristic
50#5689—21no—
51#5689C2211yescharacteristic
52#5688—21no—
53#5688C2211yescharacteristic
54#5685—21no—
55#5685—21no—
56#5685C2211yescharacteristic, complemented
57#5685C2211yescharacteristic, complemented
58#5615—21no—
59#5615—21no—
60#5612—21no—
61#5610—21no—
62#5610—21no—
63#5596—21no—
64#5585C2211yescharacteristic
65#5578—21no—
66#5578C2211yescharacteristic
67#5572C2211yescharacteristic
68#5572C2211yescharacteristic
69C4×D3×Q8C2211yescharacteristic
70#5569C2211yescharacteristic, complemented
71#5569C2211yescharacteristic, complemented
72#5567—21no—
73#5567C2211yescharacteristic, complemented
74Q8×Dic6C2211yescharacteristic, complemented
75#5559C2211yescharacteristic
76#5559C2211yescharacteristic
77#5553C2211yescharacteristic
78#5545C2211yescharacteristic
79#5545C2211yescharacteristic
80C4×#237C2211yescharacteristic
81C3×#490C2211yescharacteristic
82C3×#490C2211yescharacteristic, complemented
83C3×#486C2211yescharacteristic, complemented
84C3×#478C2211yescharacteristic, complemented
85C3×#478C2211yescharacteristic, complemented
86C3×#474C2211yescharacteristic, complemented
87C3×#460C2211yescharacteristic
88C3×#460C2211yescharacteristic, complemented
89C3×#460C2211yescharacteristic, complemented
90C3×#446C2211yescharacteristic, complemented
91C3×#440C2211yescharacteristic, complemented
92C3×#440C2211yescharacteristic, complemented
93C3×C4×SD16C2211yescharacteristic, complemented
94#5166C2211yescharacteristic, complemented
95#5166C2211yescharacteristic, complemented
96#5164C2211yescharacteristic, complemented
97#5163C2211yescharacteristic
98#5163C2211yescharacteristic
99#5163C2211yescharacteristic, complemented
100#5163C2211yescharacteristic, complemented
101Dic3×SD16C2211yescharacteristic, complemented
102Dic3×SD16C2211yescharacteristic, complemented
103#5089C2211yescharacteristic, complemented
104#5084C2211yescharacteristic, complemented
105#5075C2211yescharacteristic
106#5075C2211yescharacteristic, complemented
107#5075C2211yescharacteristic, complemented
108#5071C2211yescharacteristic
109#5071C2211yescharacteristic, complemented
110#5070C2211yescharacteristic, complemented
111#5068C2211yescharacteristic, complemented
112#5067C2211yescharacteristic
113#5066C2211yescharacteristic, complemented
114#5063C2211yescharacteristic, complemented
115#5030C2211yescharacteristic, complemented
116#5028C2211yescharacteristic, complemented
117#5028C2211yescharacteristic, complemented
118#5027C2211yescharacteristic
119#5026C2211yescharacteristic, complemented
120C4×#215C2211yescharacteristic, complemented
121#5024C2211yescharacteristic, complemented
122#5018C2211yescharacteristic, complemented
123#5018C2211yescharacteristic, complemented
124C4×#214C2211yescharacteristic, complemented
125#5009C2211yescharacteristic, complemented
126#5009C2211yescharacteristic, complemented
127#5007C2211yescharacteristic, complemented
128#4891C2211yescharacteristic, complemented
129#4890C2211yescharacteristic, complemented
130#4890C2211yescharacteristic, complemented
131#4889C2211yescharacteristic, complemented
132#4881C2211yescharacteristic
133#4880C2211yescharacteristic
134#4875C2211yescharacteristic, complemented
135#4873C2211yescharacteristic, complemented
136#4871C2211yescharacteristic, complemented
137#4860C2211yescharacteristic
138#4854C2211yescharacteristic, complemented
139#4852C2211yescharacteristic, complemented
140#4848C2211yescharacteristic
141#4847C2211yescharacteristic, complemented
142#4845C2211yescharacteristic, complemented
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, complemented
153#4802C2211yescharacteristic
154#4790C2211yescharacteristic, complemented
155#4788C2211yescharacteristic, complemented
156#4772C2211yescharacteristic
157#4772C2211yescharacteristic
158#4771C2211yescharacteristic
159#4770C2211yescharacteristic
160#4770C2211yescharacteristic
161#4770C2211yescharacteristic
162#4770C2211yescharacteristic
163D3×#102C2211yescharacteristic
164D3×#102C2211yescharacteristic
165#4768C2211yescharacteristic, complemented
166#4768C2211yescharacteristic, complemented
167#4767C2211yescharacteristic, complemented
168#4767C2211yescharacteristic, complemented
169#4766C2211yescharacteristic, complemented
170#4765C2211yescharacteristic, complemented
171#4765C2211yescharacteristic, complemented
172#4764C2211yescharacteristic, complemented
173#4764C2211yescharacteristic, complemented
174#4763C2211yescharacteristic, complemented
175#4762C2211yescharacteristic
176#4762C2211yescharacteristic
177#4762C2211yescharacteristic, complemented
178#4762C2211yescharacteristic, complemented
179#4761C2211yescharacteristic, complemented
180#4761C2211yescharacteristic, complemented
181#4761C2211yescharacteristic, complemented
182#4760C2211yescharacteristic
183#4760C2211yescharacteristic
184#4760C2211yescharacteristic
185#4760C2211yescharacteristic
186#4760C2211yescharacteristic, complemented
187#4760C2211yescharacteristic, complemented
188#4759C2211yescharacteristic, complemented
189#4758C2211yescharacteristic, complemented
190#4758C2211yescharacteristic, complemented
191#4757C2211yescharacteristic, complemented
192#4716C2211yescharacteristic, complemented
193#4714C2211yescharacteristic, complemented
194#4713C2211yescharacteristic
195#4710C2211yescharacteristic, complemented
196#4708C2211yescharacteristic
197#4707C2211yescharacteristic
198#4701C2211yescharacteristic, complemented
199#4701C2211yescharacteristic, complemented
200#4697C2211yescharacteristic, complemented
201C4×#204C2211yescharacteristic, complemented
202#4689C2211yescharacteristic
203C8×Dic6C2211yescharacteristic, complemented
204#3508—31no—
205#3502—31no—
206#3375—31no—
207#3375—31no—
208#3371—31no—
209#3371—31no—
210#3371—31no—
211#3371—31no—
212#3368—31no—
213#3368—31no—
214#3368—31no—
215#3368—31no—
216#3368—31no—
217#3368D311yescharacteristic, complemented
218#3365—31no—
219#3365—31no—
220#3362—31no—
221#3362—31no—
222#3138—31no—
223#3136—31no—
224#3136—31no—
225#3081—31no—
226#3081—31no—
227#3076—31no—
228#3043—31no—
229#3043—31no—
230C2×#460—31no—
231#2962—31no—
232#2949—31no—
233#2949—31no—
234C4×#137—31no—
235C2×C3×#41—21no—
236C2×D3×Q8C2311yescharacteristic
237C2×#237—21no—
238C2×#237—21no—
239C2×#237C2311yescharacteristic
240C2×D3×D4—21no—
241C2×D3×D4—21no—
242C2×D3×D4C2311yescharacteristic
243C2×D3×D4C2311yescharacteristic
244C2×#235—21no—
245C2×C3×SD16C2311yescharacteristic
246C2×C3×SD16C2311yescharacteristic
247C2×C3×SD16C2311yescharacteristic
248C3×C4⋊Q8—21no—
249C3×C4⋊Q8C2311yescharacteristic
250C3×#127C2311yescharacteristic
251C3×#127C2311yescharacteristic
252C3×#127C2311yescharacteristic
253C3×#125—21no—
254C3×#125—21no—
255C3×#125C2311yescharacteristic
256C3×#125C2311yescharacteristic
257C3×#121—21no—
258C3×#121—21no—
259C3×#121—21no—
260C3×C4×Q8—21no—
261C3×C4×Q8C2311yescharacteristic
262C3×C4×Q8C2311yescharacteristic
263C3×C4×Q8C2311yescharacteristic
264C3×C4×Q8C2311yescharacteristic
265C3×C4×D4C2311yescharacteristic
266C3×C4×D4C2311yescharacteristic
267C3×C4×D4C2311yescharacteristic
268#947—21no—
269#946—21no—
270#946D411yescharacteristic
271Q8×Dic3C2311yescharacteristic
272Q8×Dic3C2311yescharacteristic
273Q8×Dic3C2311yescharacteristic
274#944—21no—
275#944—21no—
276#944—21no—
277#944—21no—
278#944D411yescharacteristic
279C2×#216C2311yescharacteristic
280C2×#215C2311yescharacteristic
281C2×#215C2311yescharacteristic
282#940—21no—
283#940—21no—
284#940C2311yescharacteristic
285#940C2311yescharacteristic
286#940C2311yescharacteristic
287#940C2311yescharacteristic
288#939—21no—
289#939—21no—
290#939—21no—
291#939—21no—
292#939—21no—
293#939—21no—
294#939—21no—
295#939—21no—
296#938—21no—
297#938—21no—
298#937—21no—
299#937—21no—
300#937—21no—
301#937—21no—
302#936—21no—
303#936C2311yescharacteristic
304#936C2311yescharacteristic
305#935—21no—
306#935—21no—
307D4×Dic3—21no—
308D4×Dic3C2311yescharacteristic
309D4×Dic3C2311yescharacteristic
310D4×Dic3C2311yescharacteristic
311C2×#214C2311yescharacteristic
312C2×#214C2311yescharacteristic
313C2×#214C2311yescharacteristic
314#930—21no—
315#929—21no—
316#929—21no—
317C4×#67—21no—
318C4×#67—21no—
319C4×#67—21no—
320C4×#67—21no—
321C4×#67—21no—
322C2×(C2×D3)⋊C4—21no—
323C2×(C2×D3)⋊C4—21no—
324C2×C4×Dic3—21no—
325#915—24no—
326D3×SD16—24no—
327D3×SD16—24no—
328C2×Dic12C2311yescharacteristic
329C2×#204C2311yescharacteristic
330C2×#204C2311yescharacteristic
331C2×ΓL(1,𝔽25)C2311yescharacteristic
332C2×ΓL(1,𝔽25)C2311yescharacteristic
333C2×D3×C8C2311yescharacteristic
334C2×D3×C8C2311yescharacteristic
335#897—21no—
336#897D411yescharacteristic
337#896—21no—
338#896—21no—
339#896—21no—
340#896—21no—
341#896D411yescharacteristic
342#896D411yescharacteristic
343#894—21no—
344#894—21no—
345#893—21no—
346#893C2311yescharacteristic
347#893C2311yescharacteristic
348#892—21no—
349#892—21no—
350#892C2311yescharacteristic
351#892C2311yescharacteristic
352#892C2311yescharacteristic
353D3×C4⋊C4—21no—
354D3×C4⋊C4C2311yescharacteristic
355#890—21no—
356#890—21no—
357#890C2311yescharacteristic
358#890C2311yescharacteristic
359#889—21no—
360#889—21no—
361#889—21no—
362#889—21no—
363#889—21no—
364#889—21no—
365#889—21no—
366#889—21no—
367#889D411yescharacteristic
368#889D411yescharacteristic
369#888—21no—
370#888—21no—
371#888—21no—
372#888—21no—
373#888—21no—
374#888—21no—
375#888—21no—
376#888—21no—
377#888D411yescharacteristic
378#888C2311yescharacteristic
379#888C2311yescharacteristic
380#888C2311yescharacteristic
381#888C2311yescharacteristic
382#887—21no—
383#887—21no—
384#887—21no—
385#887—21no—
386#887—21no—
387#887—21no—
388#887—21no—
389#887—21no—
390#887—21no—
391#887C2311yescharacteristic
392#887C2311yescharacteristic
393#887C2311yescharacteristic
394#887C2311yescharacteristic
395#885—21no—
396#885—21no—
397#884—21no—
398#884—21no—
399#883—21no—
400#883—21no—
401#67⋊C4—21no—
402#67⋊C4—21no—
403#67⋊C4—21no—
404D3×C22⋊C4—21no—
405D3×C22⋊C4—21no—
406#877—21no—
407#875C2311yescharacteristic
408#875C2311yescharacteristic
409#874C2311yescharacteristic
410C4×D12C2311yescharacteristic
411C4×D12C2311yescharacteristic
412#872—21no—
413#872—21no—
414#872C2311yescharacteristic
415#872C2311yescharacteristic
416C42×D3—21no—
417C42×D3C2311yescharacteristic
418#870—21no—
419#870—21no—
420#870C2311yescharacteristic
421#870C2311yescharacteristic
422#869—21no—
423#869C2311yescharacteristic
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×#107C2311yescharacteristic
438C3×#107C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×C4⋊C8C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×C4⋊C8C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#102C2311yescharacteristic
445C3×#102C2311yescharacteristic
446C3×#102C2311yescharacteristic
447C3×#102C2311yescharacteristic
448C3×#102C2311yescharacteristic
449C3×#102C2311yescharacteristic
450C3×#102C2311yescharacteristic
451C3×#102C2311yescharacteristic
452C3×#102C2311yescharacteristic
453C3×#97C2311yescharacteristic
454C3×#97C2311yescharacteristic
455C3×C4×C8C2311yescharacteristic
456#835C2311yescharacteristic
457#832C2311yescharacteristic
458#832C2311yescharacteristic
459#832C2311yescharacteristic
460#832C2311yescharacteristic
461#832C2311yescharacteristic
462#832C2311yescharacteristic
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#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×#137—31no—
514C22×SD16—31no—
515C22×SD16—31no—
516#559—31no—
517#559—31no—
518#559—31no—
519#559—31no—
520Q82—31no—
521Q82—31no—
522Q82—61no—
523#557—31no—
524#557—31no—
525#557—31no—
526#557—31no—
527#557—31no—
528#557—61no—
529#557—61no—
530#557—61no—
531#557C2×D311yescharacteristic, complemented
532#550—31no—
533#550—31no—
534#550—31no—
535#550C2×D311yescharacteristic
536#546—61no—
537#546—61no—
538#546—61no—
539#546—61no—
540#544—31no—
541#544—31no—
542#544—61no—
543#544—61no—
544#540—61no—
545#540—61no—
546#535—31no—
547#535—31no—
548#533—31no—
549#533—31no—
550#533—61no—
551#533—61no—
552#532—61no—
553#532—61no—
554C2×#127—31no—
555#519—31no—
556#519—31no—
557#518—31no—
558#518—31no—
559C4×#41—31no—
560C2×C4×Q8—31no—
561#490—31no—
562#490—31no—
563#490—31no—
564#490—31no—
565#490—31no—
566#490—31no—
567#490C2×D311yescharacteristic
568#490C2×D311yescharacteristic, complemented
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#486—31no—
578#486—31no—
579#486—31no—
580#486—31no—
581#486—31no—
582#486—31no—
583#486—31no—
584#486C2×D311yescharacteristic, complemented
585#479—31no—
586#479—31no—
587#478—31no—
588#478—31no—
589#478—31no—
590#478—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#476—31no—
599#476—31no—
600#476—31no—
601#476—31no—
602#476—31no—
603#475—31no—
604#474—31no—
605#474—31no—
606#474—31no—
607#474—31no—
608#474C2×D311yescharacteristic, complemented
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#460—31no—
618#460—31no—
619#460—31no—
620#460—31no—
621#460—31no—
622#460—31no—
623#460—31no—
624#460—31no—
625#460—31no—
626#460—31no—
627#460—31no—
628#460—31no—
629#460—31no—
630#460C2×D311yescharacteristic
631#460C2×D311yescharacteristic, complemented
632#460C2×D311yescharacteristic, complemented
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#440—31no—
644#440—31no—
645#440—31no—
646#440—31no—
647#440—31no—
648#440—31no—
649#440—31no—
650#440—31no—
651#440C2×D311yescharacteristic, complemented
652#440C2×D311yescharacteristic, complemented
653C4×Q16—31no—
654C4×Q16—31no—
655C4×SD16—31no—
656C4×SD16—31no—
657C4×SD16—31no—
658C4×SD16—31no—
659C4×SD16—31no—
660C4×SD16—31no—
661C4×SD16—31no—
662C4×SD16—31no—
663C4×SD16—31no—
664C4×SD16C2×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#418—31no—
673#418—31no—
674#418—31no—
675#418—31no—
676#417—31no—
677#416—31no—
678#416—31no—
679C2×#102—31no—
680C2×#102—31no—
681#405—31no—
682#405—31no—
683C4×M16—31no—
684C23×D3—21no—
685C23×D3—21no—
686C3×#41—82no—
687C2×C3×Q8—21no—
688C2×C3×Q8C2×D411yescharacteristic
689C2×C3×Q8C2411yescharacteristic
690C2×C3×D4—21no—
691C2×C3×D4—21no—
692C2×C3×D4—21no—
693C2×C3×D4—21no—
694C2×C3×D4—21no—
695C2×C3×D4—21no—
696C2×C3×D4C2411yescharacteristic
697C2×C3×D4C2411yescharacteristic
698C2×C3×D4C2411yescharacteristic
699C22×C3×C4—21no—
700C22×C3×C4—21no—
701C22×C3×C4—21no—
702C2×#67—21no—
703C2×#67—21no—
704C2×#67—21no—
705C2×#67—21no—
706C2×#67—21no—
707C2×#67—21no—
708C2×#67—21no—
709C2×#67—21no—
710C2×#67—21no—
711C2×#67—21no—
712C2×#67—21no—
713C22×Dic3—21no—
714C22×Dic3—21no—
715C22×Dic3—21no—
716C22×Dic3—21no—
717D3×Q8—22no—
718D3×Q8#4114yescomplemented
719#237—22no—
720#237—22no—
721#237—82no—
722#237—82no—
723D3×D4—22no—
724D3×D4—22no—
725D3×D4—22no—
726D3×D4—22no—
727D3×D4—82no—
728D3×D4—82no—
729#235—82no—
730C2×D12—21no—
731C2×D12—21no—
732C2×D12C2411yescharacteristic
733C2×D12C2411yescharacteristic
734C2×C4×D3—21no—
735C2×C4×D3—21no—
736C2×C4×D3—21no—
737C2×C4×D3—21no—
738C2×C4×D3—21no—
739C2×C4×D3—21no—
740C2×C4×D3C2×D411yescharacteristic
741C2×C4×D3C2×D411yescharacteristic
742C2×C4×D3C2411yescharacteristic
743C2×Dic6—21no—
744C2×Dic6—21no—
745C2×Dic6—21no—
746C2×Dic6—21no—
747C2×Dic6—21no—
748C2×Dic6—21no—
749C2×Dic6C2×D411yescharacteristic
750C2×Dic6C2×D411yescharacteristic
751C2×Dic6C2×D411yescharacteristic
752C2×Dic6C2411yescharacteristic
753C2×Dic6C2411yescharacteristic
754C3×SD16—22no—
755C3×SD16—22no—
756C3×SD16—22no—
757C2×C3×C8C2411yescharacteristic
758C2×C3×C8C2411yescharacteristic
759C2×C3×C8C2411yescharacteristic
760C2×C3×C8C2411yescharacteristic
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⋊C4—21no—
768C3×C4⋊C4—21no—
769C3×C4⋊C4C2×D411yescharacteristic
770C3×C4⋊C4C2×D411yescharacteristic
771C3×C4⋊C4C2×D411yescharacteristic
772C3×C4⋊C4C2411yescharacteristic
773C3×C4⋊C4C2411yescharacteristic
774C3×C4⋊C4C2411yescharacteristic
775C3×C4⋊C4C2411yescharacteristic
776C3×C22⋊C4—21no—
777C3×C22⋊C4—21no—
778C3×C22⋊C4—21no—
779C3×C42—21no—
780C3×C42—21no—
781C3×C42—21no—
782C3×C42C2411yescharacteristic
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#216—22no—
793#215—22no—
794#215—22no—
795#214—22no—
796#214—22no—
797#214—22no—
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)⋊C4C2×D411yescharacteristic
810(C2×D3)⋊C4C2×D411yescharacteristic
811(C2×D3)⋊C4C2×D411yescharacteristic
812(C2×D3)⋊C4C2×D411yescharacteristic
813C4⋊Dic3—21no—
814C4⋊Dic3—21no—
815C4⋊Dic3—21no—
816C4⋊Dic3—21no—
817C4⋊Dic3—21no—
818C4⋊Dic3—21no—
819C4⋊Dic3C2×D411yescharacteristic
820C4⋊Dic3C2×D411yescharacteristic
821C4⋊Dic3C2×D411yescharacteristic
822C4⋊Dic3C2411yescharacteristic
823C4⋊Dic3C2411yescharacteristic
824C4⋊Dic3C2411yescharacteristic
825C4⋊Dic3C2411yescharacteristic
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⋊C4—21no—
838Dic3⋊C4—21no—
839Dic3⋊C4—21no—
840Dic3⋊C4—21no—
841Dic3⋊C4—21no—
842Dic3⋊C4—21no—
843Dic3⋊C4—21no—
844Dic3⋊C4—21no—
845Dic3⋊C4C2×D411yescharacteristic
846Dic3⋊C4C2×D411yescharacteristic
847Dic3⋊C4C2×D411yescharacteristic
848Dic3⋊C4C2×D411yescharacteristic
849Dic3⋊C4C2×D411yescharacteristic
850Dic3⋊C4C2×D411yescharacteristic
851Dic3⋊C4C2×D411yescharacteristic
852Dic3⋊C4C2×D411yescharacteristic
853Dic3⋊C4C2×D411yescharacteristic
854Dic3⋊C4C2×D411yescharacteristic
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×Dic3—21no—
864C4×Dic3—21no—
865C4×Dic3—21no—
866C4×Dic3—21no—
867C4×Dic3—21no—
868C4×Dic3—21no—
869C4×Dic3C2×D411yescharacteristic
870C4×Dic3C2×D411yescharacteristic
871C4×Dic3C2411yescharacteristic
872C4×Dic3C2411yescharacteristic
873C4×Dic3C2411yescharacteristic
874C2×C3⋊C8C2411yescharacteristic
875C2×C3⋊C8C2411yescharacteristic
876C2×C3⋊C8C2411yescharacteristic
877C2×C3⋊C8C2411yescharacteristic
878Dic12—22no—
879#204—22no—
880#204—22no—
881ΓL(1,𝔽25)—22no—
882ΓL(1,𝔽25)—22no—
883D3×C8—22no—
884D3×C8—22no—
885C2×#41—21no—
886C2×#41—31no—
887C2×#41—61no—
888C2×#41—61no—
889C2×#41—61no—
890C22×Q8—31no—
891C22×D4—31no—
892C22×D4—31no—
893C22×D4—61no—
894C22×D4—61no—
895#137—64no—
896C2×Q16—31no—
897C2×Q16—31no—
898C2×SD16—31no—
899C2×SD16—31no—
900C2×SD16—31no—
901C2×SD16—31no—
902C2×SD16—31no—
903C2×SD16—31no—
904C2×SD16—31no—
905C2×SD16—64no—
906C2×SD16—64no—
907C2×SD16C22×D311yescharacteristic
908C2×SD16C22×D311yescharacteristic
909C2×SD16C22×D311yescharacteristic
910C2×M16—31no—
911C2×M16—31no—
912C22×C8—31no—
913C22×C8—31no—
914C4⋊Q8—21no—
915C4⋊Q8—31no—
916C4⋊Q8—31no—
917C4⋊Q8—31no—
918C4⋊Q8—31no—
919C4⋊Q8—31no—
920C4⋊Q8—31no—
921C4⋊Q8—31no—
922C4⋊Q8—61no—
923C4⋊Q8—61no—
924C4⋊Q8—61no—
925C4⋊Q8—61no—
926C4⋊Q8—61no—
927C4⋊Q8—61no—
928C4⋊Q8—61no—
929C4⋊Q8—61no—
930C4⋊Q8—61no—
931C4⋊Q8—61no—
932C4⋊Q8—61no—
933C4⋊Q8—61no—
934C4⋊Q8—61no—
935C4⋊Q8C22×D311yescharacteristic
936#127—31no—
937#127—31no—
938#127—31no—
939#127—31no—
940#127—31no—
941#127—61no—
942#127—61no—
943#127C22×D311yescharacteristic
944#127C22×D311yescharacteristic
945#127C22×D311yescharacteristic
946#125—21no—
947#125—21no—
948#125—31no—
949#125—31no—
950#125—31no—
951#125—31no—
952#125—31no—
953#125—31no—
954#125—61no—
955#125—61no—
956#125—61no—
957#125—61no—
958#125—61no—
959#125—61no—
960#125—61no—
961#125—61no—
962#125—61no—
963#125—61no—
964#125—61no—
965#125—61no—
966#125C22×D311yescharacteristic
967#125C22×D311yescharacteristic
968#124—31no—
969#124—31no—
970#124—31no—
971#124—31no—
972#124—61no—
973#124—61no—
974#124—61no—
975#124—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—
984C22⋊Q8—31no—
985C22⋊Q8—31no—
986C22⋊Q8—31no—
987C22⋊Q8—31no—
988C22⋊Q8—61no—
989C22⋊Q8—61no—
990C22⋊Q8—61no—
991C22⋊Q8—61no—
992C22⋊Q8—61no—
993C22⋊Q8—61no—
994#121—21no—
995#121—21no—
996#121—21no—
997#121—61no—
998#121—61no—
999#121—61no—
1000#121—61no—
1001#121—61no—
1002#121—61no—
1003#121—61no—
1004#121—61no—
1005#121—61no—
1006#121—61no—
1007#121—61no—
1008#121—61no—
1009#121—61no—
1010#120—61no—
1011#120—61no—
1012#120—61no—
1013#120—61no—
1014C4×Q8—21no—
1015C4×Q8—31no—
1016C4×Q8—31no—
1017C4×Q8—31no—
1018C4×Q8—31no—
1019C4×Q8—31no—
1020C4×Q8—31no—
1021C4×Q8—31no—
1022C4×Q8—31no—
1023C4×Q8—31no—
1024C4×Q8—31no—
1025C4×Q8—31no—
1026C4×Q8—31no—
1027C4×Q8—31no—
1028C4×Q8—31no—
1029C4×Q8—61no—
1030C4×Q8—61no—
1031C4×Q8—61no—
1032C4×Q8—61no—
1033C4×Q8—61no—
1034C4×Q8—61no—
1035C4×Q8—61no—
1036C4×Q8—61no—
1037C4×Q8—61no—
1038C4×Q8—61no—
1039C4×Q8—61no—
1040C4×Q8—61no—
1041C4×Q8—61no—
1042C4×Q8—61no—
1043C4×Q8—61no—
1044C4×Q8C22×D311yescharacteristic
1045C4×Q8C22×D311yescharacteristic
1046C4×Q8C22×D311yescharacteristic
1047C4×Q8C22×D311yescharacteristic
1048C4×D4—31no—
1049C4×D4—31no—
1050C4×D4—31no—
1051C4×D4—31no—
1052C4×D4—31no—
1053C4×D4—31no—
1054C4×D4—31no—
1055C4×D4—61no—
1056C4×D4—61no—
1057C4×D4—61no—
1058C4×D4—61no—
1059C4×D4—61no—
1060C4×D4—61no—
1061C4×D4—61no—
1062C4×D4—61no—
1063C4×D4—61no—
1064C4×D4—61no—
1065C4×D4C22×D311yescharacteristic
1066C4×D4C22×D311yescharacteristic
1067C4×D4C22×D311yescharacteristic
1068#117—31no—
1069#117—31no—
1070#117—31no—
1071#117—31no—
1072#117—31no—
1073#117—61no—
1074#117—61no—
1075#117—61no—
1076#117—61no—
1077#117—61no—
1078C2×C4⋊C4—31no—
1079C2×C4⋊C4—61no—
1080C2×C22⋊C4—61no—
1081C2×C22⋊C4—61no—
1082C2×C22⋊C4—61no—
1083C2×C22⋊C4—61no—
1084C2×C42—31no—
1085C2×C42—61no—
1086C2×C42—61no—
1087#107—31no—
1088#107—31no—
1089#107—31no—
1090#107—31no—
1091#107C22×D311yescharacteristic
1092#107C22×D311yescharacteristic
1093#106—31no—
1094#106—31no—
1095#106—31no—
1096#106—31no—
1097#106—31no—
1098#106C22×D311yescharacteristic
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8—31no—
1103C4⋊C8—31no—
1104C4⋊C8—31no—
1105C4⋊C8—31no—
1106C4⋊C8—31no—
1107C4⋊C8—31no—
1108C4⋊C8C22×D311yescharacteristic
1109C4⋊C8C22×D311yescharacteristic
1110C4⋊C8C22×D311yescharacteristic
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#102—31no—
1122#102—31no—
1123#102—31no—
1124#102—31no—
1125#102—31no—
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#102—31no—
1142#102C22×D311yescharacteristic
1143#102C22×D311yescharacteristic
1144#102C22×D311yescharacteristic
1145#102C22×D311yescharacteristic
1146#102C22×D311yescharacteristic
1147#102C22×D311yescharacteristic
1148#102C22×D311yescharacteristic
1149#102C22×D311yescharacteristic
1150#102C22×D311yescharacteristic
1151#97—31no—
1152#97—31no—
1153#97—31no—
1154#97—31no—
1155#97C22×D311yescharacteristic
1156#97C22×D311yescharacteristic
1157C4×C8—31no—
1158C4×C8—31no—
1159C4×C8—31no—
1160C4×C8—31no—
1161C4×C8—31no—
1162C4×C8C22×D311yescharacteristic
1163C23×C3—21no—
1164C23×C3—21no—
1165C23×C3—21no—
1166C22×D3—21no—
1167C22×D3—21no—
1168C22×D3—42no—
1169C22×D3—42no—
1170C22×D3—81no—
1171C22×D3—81no—
1172C22×D3—81no—
1173C22×D3—81no—
1174C22×D3C22×D411yescharacteristic
1175C3×Q8—21no—
1176C3×Q8—41no—
1177C3×Q8—81no—
1178C3×Q8C2×#4112yes—
1179C3×D4—21no—
1180C3×D4—21no—
1181C3×D4—21no—
1182C3×D4—21no—
1183C3×D4—21no—
1184C3×D4—21no—
1185C3×D4—42no—
1186C3×D4—81no—
1187C3×D4—81no—
1188C3×D4—81no—
1189C3×D4—81no—
1190C3×D4—81no—
1191C2×C3×C4—21no—
1192C2×C3×C4—21no—
1193C2×C3×C4—21no—
1194C2×C3×C4—21no—
1195C2×C3×C4—21no—
1196C2×C3×C4—42no—
1197C2×C3×C4—81no—
1198C2×C3×C4—81no—
1199C2×C3×C4C22×D411yescharacteristic
1200C2×C3×C4C22×D411yescharacteristic
1201C2×C3×C4C22×D411yescharacteristic
1202C2×C3×C4C22×D411yescharacteristic
1203C2×C3×C4C22×D411yescharacteristic
1204C2×C3×C4C22×D411yescharacteristic
1205C2×C3×C4C2511yescharacteristic
1206#67—42no—
1207#67—42no—
1208#67—42no—
1209#67—42no—
1210#67—42no—
1211#67—81no—
1212#67—81no—
1213#67—81no—
1214#67—81no—
1215#67—81no—
1216#67—81no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—42no—
1224C2×Dic3—42no—
1225C2×Dic3—81no—
1226C2×Dic3—81no—
1227C2×Dic3C22×D411yescharacteristic
1228C2×Dic3C22×D411yescharacteristic
1229C2×Dic3C22×D411yescharacteristic
1230C2×Dic3C22×D411yescharacteristic
1231C2×Dic3C22×D411yescharacteristic
1232C2×Dic3C22×D411yescharacteristic
1233C2×Dic3C22×D411yescharacteristic
1234D12—21no—
1235D12—21no—
1236D12—21no—
1237D12—21no—
1238D12—42no—
1239D12—81no—
1240C4×D3—24no—
1241C4×D3—22no—
1242C4×D3—41no—
1243C4×D3—81no—
1244C4×D3—81no—
1245C4×D3—81no—
1246C4×D3—81no—
1247C4×D3—81no—
1248C4×D3C2×#4112yes—
1249C4×D32−1+412yes—
1250Dic6—21no—
1251Dic6—24no—
1252Dic6—22no—
1253Dic6—22no—
1254Dic6—21no—
1255Dic6—21no—
1256Dic6—41no—
1257Dic6—42no—
1258Dic6—81no—
1259Dic6—81no—
1260Dic6—81no—
1261Dic6—81no—
1262Dic6C2×#4112yes—
1263C3×C8—21no—
1264C3×C8—21no—
1265C3×C8—21no—
1266C3×C8—21no—
1267C3⋊C8—21no—
1268C3⋊C8—21no—
1269C3⋊C8—21no—
1270C3⋊C8—21no—
1271C24—61no—
1272C24—61no—
1273#41—62no—
1274#41—62no—
1275#41—82no—
1276#41—242no—
1277#41—242no—
1278#41—242no—
1279C2×Q8—21no—
1280C2×Q8—31no—
1281C2×Q8—31no—
1282C2×Q8—31no—
1283C2×Q8—34no—
1284C2×Q8—31no—
1285C2×Q8—31no—
1286C2×Q8—61no—
1287C2×Q8—61no—
1288C2×Q8—61no—
1289C2×Q8—61no—
1290C2×Q8—61no—
1291C2×Q8—62no—
1292C2×Q8—61no—
1293C2×Q8D3×D411yescharacteristic
1294C2×Q8C23×D311yescharacteristic
1295C2×D4—21no—
1296C2×D4—21no—
1297C2×D4—21no—
1298C2×D4—21no—
1299C2×D4—21no—
1300C2×D4—21no—
1301C2×D4—31no—
1302C2×D4—31no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—61no—
1308C2×D4—61no—
1309C2×D4—61no—
1310C2×D4—61no—
1311C2×D4—61no—
1312C2×D4—61no—
1313C2×D4—61no—
1314C2×D4—61no—
1315C2×D4—61no—
1316C2×D4—61no—
1317C2×D4—61no—
1318C2×D4—61no—
1319C2×D4—61no—
1320C2×D4—242no—
1321C2×D4—242no—
1322C2×D4C23×D311yescharacteristic
1323C2×D4C23×D311yescharacteristic
1324C2×D4C23×D311yescharacteristic
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—61no—
1332C22×C4—61no—
1333C22×C4—61no—
1334C22×C4—61no—
1335C22×C4—61no—
1336C22×C4—61no—
1337C22×C4—61no—
1338C22×C4—61no—
1339C22×C4—61no—
1340C22×C4—61no—
1341Q16—62no—
1342Q16—62no—
1343SD16—22no—
1344SD16—22no—
1345SD16—22no—
1346SD16—62no—
1347SD16—62no—
1348SD16—62no—
1349SD16—62no—
1350SD16—62no—
1351SD16—62no—
1352SD16—62no—
1353M16—62no—
1354M16—62no—
1355C2×C8—31no—
1356C2×C8—31no—
1357C2×C8—31no—
1358C2×C8—31no—
1359C2×C8—62no—
1360C2×C8—62no—
1361C2×C8C23×D311yescharacteristic
1362C2×C8C23×D311yescharacteristic
1363C2×C8C23×D311yescharacteristic
1364C2×C8C23×D311yescharacteristic
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—31no—
1374C4⋊C4—31no—
1375C4⋊C4—31no—
1376C4⋊C4—31no—
1377C4⋊C4—31no—
1378C4⋊C4—31no—
1379C4⋊C4—31no—
1380C4⋊C4—31no—
1381C4⋊C4—31no—
1382C4⋊C4—31no—
1383C4⋊C4—31no—
1384C4⋊C4—31no—
1385C4⋊C4—31no—
1386C4⋊C4—31no—
1387C4⋊C4—31no—
1388C4⋊C4—31no—
1389C4⋊C4—31no—
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⋊C4—61no—
1409C4⋊C4—61no—
1410C4⋊C4—61no—
1411C4⋊C4—61no—
1412C4⋊C4—61no—
1413C4⋊C4—61no—
1414C4⋊C4—61no—
1415C4⋊C4D3×D411yescharacteristic
1416C4⋊C4D3×D411yescharacteristic
1417C4⋊C4D3×D411yescharacteristic
1418C4⋊C4C23×D311yescharacteristic
1419C4⋊C4C23×D311yescharacteristic
1420C4⋊C4C23×D311yescharacteristic
1421C4⋊C4C23×D311yescharacteristic
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
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—
1447C42—21no—
1448C42—21no—
1449C42—21no—
1450C42—31no—
1451C42—31no—
1452C42—31no—
1453C42—31no—
1454C42—31no—
1455C42—61no—
1456C42—61no—
1457C42—61no—
1458C42—61no—
1459C42—61no—
1460C42—61no—
1461C42—61no—
1462C42—61no—
1463C42—61no—
1464C42—61no—
1465C42—61no—
1466C42—61no—
1467C42—61no—
1468C42—61no—
1469C42C23×D311yescharacteristic
1470C42C23×D311yescharacteristic
1471C42C23×D311yescharacteristic
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3C23×D411yescharacteristic
1482C2×D3—21no—
1483C2×D3—21no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—162no—
1491C2×D3—162no—
1492C2×D3#54812yes—
1493C3×C4—21no—
1494C3×C4—21no—
1495C3×C4—21no—
1496C3×C4—22no—
1497C3×C4—21no—
1498C3×C4—21no—
1499C3×C4—21no—
1500C3×C4—41no—
1501C3×C4—41no—
1502C3×C4—41no—
1503C3×C4—41no—
1504C3×C4C22×#4111yescharacteristic
1505C3×C4C2×2−1+411yescharacteristic
1506Dic3—21no—
1507Dic3—21no—
1508Dic3—21no—
1509Dic3—22no—
1510Dic3—21no—
1511Dic3—21no—
1512Dic3—41no—
1513Dic3—41no—
1514Dic3—41no—
1515Dic3—41no—
1516Dic3—41no—
1517Dic3#54812yes—
1518Dic3#57712yes—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—31no—
1523C23—61no—
1524C23—61no—
1525C23—122no—
1526C23—122no—
1527C23—241no—
1528C23—241no—
1529C23—241no—
1530C23—241no—
1531Q8—21no—
1532Q8—32no—
1533Q8—41no—
1534Q8—64no—
1535Q8—62no—
1536Q8—62no—
1537Q8—61no—
1538Q8—61no—
1539Q8—61no—
1540Q8—81no—
1541Q8—121no—
1542Q8—122no—
1543Q8—241no—
1544Q8—241no—
1545Q8—241no—
1546Q8—241no—
1547Q8D3×#4112yes—
1548D4—21no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—42no—
1555D4—61no—
1556D4—61no—
1557D4—61no—
1558D4—61no—
1559D4—81no—
1560D4—81no—
1561D4—81no—
1562D4—81no—
1563D4—81no—
1564D4—122no—
1565D4—122no—
1566D4—122no—
1567D4—122no—
1568D4—122no—
1569D4—122no—
1570D4—241no—
1571D4—241no—
1572D4—241no—
1573D4—241no—
1574D4—241no—
1575D4—241no—
1576D4—241no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—31no—
1583C2×C4—31no—
1584C2×C4—32no—
1585C2×C4—32no—
1586C2×C4—31no—
1587C2×C4—31no—
1588C2×C4—31no—
1589C2×C4—31no—
1590C2×C4—31no—
1591C2×C4—42no—
1592C2×C4—62no—
1593C2×C4—64no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—121no—
1603C2×C4—122no—
1604C2×C4—122no—
1605C2×C4—241no—
1606C2×C4—241no—
1607C2×C4—241no—
1608C2×C4—241no—
1609C2×C4—241no—
1610C2×C4—241no—
1611C2×C4—241no—
1612C2×C4C2×D3×D411yescharacteristic
1613C2×C4C2×D3×D411yescharacteristic
1614C2×C4C2×D3×D411yescharacteristic
1615C2×C4C2×D3×D411yescharacteristic
1616C2×C4C2×D3×D411yescharacteristic
1617C2×C4C2×D3×D411yescharacteristic
1618C2×C4C24×D311yescharacteristic
1619C8—21no—
1620C8—21no—
1621C8—21no—
1622C8—21no—
1623C8—61no—
1624C8—61no—
1625C8—61no—
1626C8—61no—
1627C2×C3—81no—
1628C2×C3—81no—
1629C2×C3—81no—
1630C2×C3C2×#54811yescharacteristic
1631C2×C3C2×#57711yescharacteristic
1632C2×C3#358511yescharacteristic
1633D3—22no—
1634D3—81no—
1635D3—81no—
1636C22—32no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—61no—
1647C22—61no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22—121no—
1654C22—482no—
1655C22—482no—
1656C22C22×D3×D411yescharacteristic
1657C4—21no—
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—22no—
1664C4—32no—
1665C4—32no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—61no—
1671C4—61no—
1672C4—61no—
1673C4—61no—
1674C4—61no—
1675C4—62no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4C2×D3×#4111yescharacteristic
1682C4D3×2−1+411yescharacteristic
1683C3#6134111yescharacteristic, complemented, Sylow
1684C2—62no—
1685C2—81no—
1686C2—81no—
1687C2—81no—
1688C2—241no—
1689C2—241no—
1690C2D3×#54811yescharacteristic
1691C2#8719211yescharacteristic
1692C2D3×#57711yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3368C2
socleC22×C3C23×D4
prime radical#86771C2
hypercenter#3368D3
hypocenterC3#61341
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3368

Complements

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

NH ≅ G/Ntype
1. #87032C2semidirect
3. C3×#3368C2semidirect
4. #83691C2semidirect
5. #83587C2semidirect
6. #81715C2semidirect
7. #81714C2semidirect
8. #81711C2semidirect
9. #81709C2semidirect
10. #81588C2semidirect
11. #81563C2semidirect
12. #81168C2semidirect
13. #81165C2semidirect
14. #81153C2semidirect
15. #81151C2semidirect
16. #80967C2semidirect
17. #80956C2semidirect
18. #80385C2semidirect
19. #80385C2semidirect
20. D3×#460C2semidirect
21. #80373C2semidirect
22. #80372C2semidirect
23. #80369C2semidirect
24. #79982C2semidirect
25. #79961C2semidirect
26. #79777C2semidirect
27. #79774C2semidirect
28. #79756C2semidirect
29. #79752C2semidirect
30. #79649C2semidirect
31. #79624C2semidirect
33. C3×#557C22semidirect
43. #5722C22semidirect
56. #5685C22semidirect
57. #5685C22semidirect
70. #5569C22semidirect
71. #5569C22semidirect
73. #5567C22semidirect
74. Q8×Dic6C22semidirect
82. C3×#490C22semidirect
83. C3×#486C22semidirect
84. C3×#478C22semidirect
85. C3×#478C22semidirect
86. C3×#474C22semidirect
88. C3×#460C22semidirect
89. C3×#460C22semidirect
90. C3×#446C22semidirect
91. C3×#440C22semidirect
92. C3×#440C22semidirect
93. C3×C4×SD16C22semidirect
94. #5166C22semidirect
95. #5166C22semidirect
96. #5164C22semidirect
99. #5163C22semidirect
100. #5163C22semidirect
101. Dic3×SD16C22semidirect
102. Dic3×SD16C22semidirect
103. #5089C22semidirect
104. #5084C22semidirect
106. #5075C22semidirect
107. #5075C22semidirect
109. #5071C22semidirect
110. #5070C22semidirect
111. #5068C22semidirect
113. #5066C22semidirect
114. #5063C22semidirect
115. #5030C22semidirect
116. #5028C22semidirect
117. #5028C22semidirect
119. #5026C22semidirect
120. C4×#215C22semidirect
121. #5024C22semidirect
122. #5018C22semidirect
123. #5018C22semidirect
124. C4×#214C22semidirect
125. #5009C22semidirect
126. #5009C22semidirect
127. #5007C22semidirect
128. #4891C22semidirect
129. #4890C22semidirect
130. #4890C22semidirect
131. #4889C22semidirect
134. #4875C22semidirect
135. #4873C22semidirect
136. #4871C22semidirect
138. #4854C22semidirect
139. #4852C22semidirect
141. #4847C22semidirect
142. #4845C22semidirect
143. #4845C22semidirect
144. #4842C22semidirect
148. #4830C22semidirect
149. #4829C22semidirect
150. #4828C22semidirect
151. #4828C22semidirect
152. #4817C22semidirect
154. #4790C22semidirect
155. #4788C22semidirect
165. #4768C22semidirect
166. #4768C22semidirect
167. #4767C22semidirect
168. #4767C22semidirect
169. #4766C22semidirect
170. #4765C22semidirect
171. #4765C22semidirect
172. #4764C22semidirect
173. #4764C22semidirect
174. #4763C22semidirect
177. #4762C22semidirect
178. #4762C22semidirect
179. #4761C22semidirect
180. #4761C22semidirect
181. #4761C22semidirect
186. #4760C22semidirect
187. #4760C22semidirect
188. #4759C22semidirect
189. #4758C22semidirect
190. #4758C22semidirect
191. #4757C22semidirect
192. #4716C22semidirect
193. #4714C22semidirect
195. #4710C22semidirect
198. #4701C22semidirect
199. #4701C22semidirect
200. #4697C22semidirect
201. C4×#204C22semidirect
203. C8×Dic6C22semidirect
217. #3368D3semidirect
531. #557C2×D3semidirect
568. #490C2×D3semidirect
584. #486C2×D3semidirect
595. #478C2×D3semidirect
596. #478C2×D3semidirect
608. #474C2×D3semidirect
631. #460C2×D3semidirect
632. #460C2×D3semidirect
638. #446C2×D3semidirect
651. #440C2×D3semidirect
652. #440C2×D3semidirect
664. C4×SD16C2×D3semidirect
718. D3×Q8#41semidirect
1683. C3#61341semidirect

Maximal subgroups

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

subgroupindex
#870322
#867712
C3×#33682
#836912
#835872
#817152
#817142
#817112
#817092
#815882
#815632
#811682
#811652
#811532
#811512
#809672
#809562
#803852
D3×#4602
#803732
#803722
#803692
#799822
#799612
#797772
#797742
#797562
#797522
#796492
#796242
#613413