Finite Group Databasebeta

← #11685779

Subgroups — #11685779

Order 768.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86478C211yesmaximal, characteristic, complemented
2#85889C211yesmaximal, characteristic, complemented
3C3×#3119C211yesmaximal, characteristic, complemented
4#83430C211yesmaximal, characteristic, complemented
5#82576C211yesmaximal, characteristic, complemented
6#81317C211yesmaximal, characteristic, complemented
7#81314C211yesmaximal, characteristic, complemented
8#81278C211yesmaximal, characteristic, complemented
9#81277C211yesmaximal, characteristic, complemented
10#81266C211yesmaximal, characteristic, complemented
11#81224C211yesmaximal, characteristic, complemented
12#81158C211yesmaximal, characteristic, complemented
13#81157C211yesmaximal, characteristic, complemented
14#80373C211yesmaximal, characteristic, complemented
15#80369C211yesmaximal, characteristic, complemented
16#80323C211yesmaximal, characteristic, complemented
17#80321C211yesmaximal, characteristic, complemented
18#80075C211yesmaximal, characteristic, complemented
19#80073C211yesmaximal, characteristic, complemented
20#80071C211yesmaximal, characteristic, complemented
21#80068C211yesmaximal, characteristic, complemented
22#79855C211yesmaximal, characteristic, complemented
23#79853C211yesmaximal, characteristic, complemented
24#79762C211yesmaximal, characteristic, complemented
25#79756C211yesmaximal, characteristic, complemented
26SD16×Dic6C211yesmaximal, characteristic, complemented
27#79627C211yesmaximal, characteristic, complemented
28#79576C211yesmaximal, characteristic, complemented
29#79569C211yesmaximal, characteristic, complemented
30#79365C211yesmaximal, characteristic, complemented
31#79359C211yesmaximal, characteristic, complemented
32#61860—31nomaximal, Sylow
33C3×#540C2211yescharacteristic
34C3×#520C2211yescharacteristic
35#5827C2211yescharacteristic
36Dic3×#41C2211yescharacteristic
37#5718C2211yescharacteristic
38#5713C2211yescharacteristic
39#5690C2211yescharacteristic
40#5685C2211yescharacteristic
41#5665—21no—
42#5662—21no—
43#5660—21no—
44#5648—21no—
45#5621—21no—
46#5621—21no—
47#5619C2211yescharacteristic
48#5611—21no—
49#5603C2211yescharacteristic
50#5600C2211yescharacteristic
51#5598—21no—
52#5596C2211yescharacteristic
53#5569C2211yescharacteristic
54#5569C2211yescharacteristic
55Q8×Dic6C2211yescharacteristic
56Q8×Dic6C2211yescharacteristic
57#5559C2211yescharacteristic
58#5559C2211yescharacteristic
59#5543C2211yescharacteristic
60#5539—21no—
61#5539—21no—
62#5539C2211yescharacteristic
63#5539C2211yescharacteristic
64D4×Dic6—21no—
65D4×Dic6—21no—
66D4×Dic6C2211yescharacteristic
67D4×Dic6C2211yescharacteristic
68D4×Dic6C2211yescharacteristic
69#5534C2211yescharacteristic
70#5519—21no—
71#5519C2211yescharacteristic
72#5517—21no—
73#5517C2211yescharacteristic
74#5500—21no—
75#5500C2211yescharacteristic
76C2×#888—21no—
77C2×#888C2211yescharacteristic
78C3×#481C2211yescharacteristic
79C3×#480C2211yescharacteristic
80C3×#479C2211yescharacteristic
81C3×#478C2211yescharacteristic
82C3×#460C2211yescharacteristic
83C3×#459C2211yescharacteristic
84C3×#449C2211yescharacteristic
85C3×#449C2211yescharacteristic
86C3×#442C2211yescharacteristic
87C3×#440C2211yescharacteristic
88C3×C4×SD16C2211yescharacteristic
89C3×C4×D8C2211yescharacteristic
90C3×#433C2211yescharacteristic
91#5239C2211yescharacteristic
92#5238C2211yescharacteristic
93#5166C2211yescharacteristic
94#5166C2211yescharacteristic
95#5164C2211yescharacteristic
96#5163C2211yescharacteristic
97#5163C2211yescharacteristic
98Dic3×SD16C2211yescharacteristic
99Dic3×SD16C2211yescharacteristic
100Dic3×SD16C2211yescharacteristic
101#5153C2211yescharacteristic
102#5153C2211yescharacteristic
103#5152C2211yescharacteristic
104#5152C2211yescharacteristic
105#5152C2211yescharacteristic
106#5150C2211yescharacteristic
107#5150C2211yescharacteristic
108Dic3×D8C2211yescharacteristic
109#5071C2211yescharacteristic
110#5070C2211yescharacteristic
111#5065C2211yescharacteristic
112#5064C2211yescharacteristic
113#5035C2211yescharacteristic
114#5035C2211yescharacteristic
115#5034C2211yescharacteristic
116#5033C2211yescharacteristic
117#5030C2211yescharacteristic
118#5028C2211yescharacteristic
119C4×#215C2211yescharacteristic
120#5020C2211yescharacteristic
121C4×#214C2211yescharacteristic
122#5016C2211yescharacteristic
123#5014C2211yescharacteristic
124#5009C2211yescharacteristic
125#5009C2211yescharacteristic
126#5008C2211yescharacteristic
127#5008C2211yescharacteristic
128#5007C2211yescharacteristic
129#5000C2211yescharacteristic
130#4971C2211yescharacteristic
131#4968C2211yescharacteristic
132#4891C2211yescharacteristic
133#4890C2211yescharacteristic
134#4878C2211yescharacteristic
135#4876C2211yescharacteristic
136#4876C2211yescharacteristic
137#4876C2211yescharacteristic
138#4875C2211yescharacteristic
139#4875C2211yescharacteristic
140#4870C2211yescharacteristic
141#4870C2211yescharacteristic
142#4857C2211yescharacteristic
143#4856C2211yescharacteristic
144#4855C2211yescharacteristic
145#4855C2211yescharacteristic
146#4855C2211yescharacteristic
147#4854C2211yescharacteristic
148#4851C2211yescharacteristic
149#4847C2211yescharacteristic
150#4842C2211yescharacteristic
151#4831C2211yescharacteristic
152#4830C2211yescharacteristic
153#4829C2211yescharacteristic
154#4828C2211yescharacteristic
155#4828C2211yescharacteristic
156#4817C2211yescharacteristic
157#4817C2211yescharacteristic
158#4799C2211yescharacteristic
159#4796C2211yescharacteristic
160#4791C2211yescharacteristic
161#4791C2211yescharacteristic
162#4790C2211yescharacteristic
163#4789C2211yescharacteristic
164#4785C2211yescharacteristic
165#4768C2211yescharacteristic
166#4766C2211yescharacteristic
167#4766C2211yescharacteristic
168#4765C2211yescharacteristic
169#4765C2211yescharacteristic
170#4765C2211yescharacteristic
171#4764C2211yescharacteristic
172#4763C2211yescharacteristic
173#4763C2211yescharacteristic
174#4761C2211yescharacteristic
175#4761C2211yescharacteristic
176#4761C2211yescharacteristic
177#4761C2211yescharacteristic
178#4761C2211yescharacteristic
179#4761C2211yescharacteristic
180#4761C2211yescharacteristic
181#4760C2211yescharacteristic
182#4760C2211yescharacteristic
183#4760C2211yescharacteristic
184#4759C2211yescharacteristic
185#4758C2211yescharacteristic
186#4758C2211yescharacteristic
187#4756C2211yescharacteristic
188#4737C2211yescharacteristic
189#4735C2211yescharacteristic
190#4723C2211yescharacteristic
191#4721C2211yescharacteristic
192#4720C2211yescharacteristic
193#4720C2211yescharacteristic
194#4719C2211yescharacteristic
195#4718C2211yescharacteristic
196#4714C2211yescharacteristic
197#4702C2211yescharacteristic
198#4701C2211yescharacteristic
199#4701C2211yescharacteristic
200#4697C2211yescharacteristic
201#4680C2211yescharacteristic
202#4679C2211yescharacteristic
203C8×Dic6C2211yescharacteristic
204#3554—31no—
205#3503—31no—
206#3388—31no—
207#3388—31no—
208#3387—31no—
209#3384—31no—
210#3384—31no—
211#3384—31no—
212#3381—31no—
213Q8×SD16—31no—
214#3375—31no—
215#3373—31no—
216#3373—31no—
217#3371—31no—
218#3371—31no—
219#3366—31no—
220#3362—31no—
221#3361—31no—
222#3244—31no—
223#3244—31no—
224#3241—31no—
225#3241—31no—
226#3238—31no—
227#3227—31no—
228#3125—31no—
229#3125—31no—
230#3119—31no—
231#3119D311yescharacteristic, complemented
232#3115—31no—
233#3102—31no—
234#2985—31no—
235C2×C3×#41C2311yescharacteristic
236C2×#237—21no—
237C2×#237—21no—
238C22×Dic6—21no—
239C22×Dic6—21no—
240C22×Dic6—21no—
241C22×Dic6—21no—
242C2×C3×SD16C2311yescharacteristic
243C2×C3×SD16C2311yescharacteristic
244C2×C3×D8C2311yescharacteristic
245C2×C3×D8C2311yescharacteristic
246C3×#127C2311yescharacteristic
247C3×#125C2311yescharacteristic
248C3×#123—21no—
249C3×#123—21no—
250C3×#121—21no—
251C3×#121—21no—
252C3×#121C2311yescharacteristic
253C3×#121C2311yescharacteristic
254C3×C4×Q8C2311yescharacteristic
255C3×C4×Q8C2311yescharacteristic
256C3×C4×D4—21no—
257C3×C4×D4—21no—
258C3×C4×D4C2311yescharacteristic
259C3×C4×D4C2311yescharacteristic
260C3×C4×D4C2311yescharacteristic
261C3×C4×D4C2311yescharacteristic
262C3×#117—21no—
263C3×#117C2311yescharacteristic
264C2×C3×C4⋊C4—21no—
265C2×C3×C4⋊C4C2311yescharacteristic
266Q8×Dic3C2311yescharacteristic
267Q8×Dic3C2311yescharacteristic
268Q8×Dic3C2311yescharacteristic
269Q8×Dic3C2311yescharacteristic
270C2×#216C2311yescharacteristic
271C2×#215C2311yescharacteristic
272#940C2311yescharacteristic
273#940C2311yescharacteristic
274#939—21no—
275#939—21no—
276#939—21no—
277#939—21no—
278#938—21no—
279#938—21no—
280#936—21no—
281#936—21no—
282#936C2311yescharacteristic
283#936C2311yescharacteristic
284#935—21no—
285#935—21no—
286#935—21no—
287#935—21no—
288D4×Dic3—21no—
289D4×Dic3—21no—
290D4×Dic3—21no—
291D4×Dic3—21no—
292D4×Dic3—21no—
293D4×Dic3—21no—
294D4×Dic3C2311yescharacteristic
295D4×Dic3C2311yescharacteristic
296D4×Dic3C2311yescharacteristic
297D4×Dic3C2311yescharacteristic
298D4×Dic3C2311yescharacteristic
299D4×Dic3C2311yescharacteristic
300D4×Dic3C2311yescharacteristic
301D4×Dic3C2311yescharacteristic
302C2×#214C2311yescharacteristic
303C2×#213C2311yescharacteristic
304#930C2311yescharacteristic
305#929—21no—
306#929—21no—
307C4×#67—21no—
308C4×#67—21no—
309#926—21no—
310#926—21no—
311#926C2311yescharacteristic
312#926C2311yescharacteristic
313C2×C4⋊Dic3—21no—
314C2×C4⋊Dic3—21no—
315C2×C4⋊Dic3C2311yescharacteristic
316#924—21no—
317#924—21no—
318#924—21no—
319#924—21no—
320#924—21no—
321#924—21no—
322#924—21no—
323#924—21no—
324#924C2311yescharacteristic
325C2×Dic3⋊C4—21no—
326C2×Dic3⋊C4—21no—
327C2×Dic3⋊C4—21no—
328C2×C4×Dic3—21no—
329C2×C4×Dic3C2311yescharacteristic
330#898—21no—
331#897—21no—
332#896—21no—
333#896—21no—
334#896—21no—
335#893C2311yescharacteristic
336#893C2311yescharacteristic
337D3×C4⋊C4—21no—
338#890—21no—
339#890—21no—
340#890—21no—
341#890—21no—
342#890D411yescharacteristic
343#890D411yescharacteristic
344#890C2311yescharacteristic
345#890C2311yescharacteristic
346#890C2311yescharacteristic
347#890C2311yescharacteristic
348#889—21no—
349#889—21no—
350#888—21no—
351#888—21no—
352#888—21no—
353#888—21no—
354#888—21no—
355#888—21no—
356#888—21no—
357#888—21no—
358#888—21no—
359#888—21no—
360#888—21no—
361#888D411yescharacteristic
362#888D411yescharacteristic
363#888C2311yescharacteristic
364#888C2311yescharacteristic
365#888C2311yescharacteristic
366#888C2311yescharacteristic
367#888C2311yescharacteristic
368#888C2311yescharacteristic
369#888C2311yescharacteristic
370#888C2311yescharacteristic
371#887—21no—
372#887C2311yescharacteristic
373#887C2311yescharacteristic
374#886—21no—
375#885—21no—
376#885—21no—
377#885—21no—
378#885—21no—
379#883—21no—
380#883—21no—
381#883—21no—
382#883—21no—
383#67⋊C4—21no—
384#879—21no—
385#879—21no—
386#878—21no—
387#878—21no—
388#878—21no—
389#878—21no—
390#878—21no—
391#878—21no—
392#878—21no—
393#878—21no—
394#878—21no—
395#878—21no—
396#878—21no—
397#878—21no—
398#878—21no—
399#878—21no—
400#878—21no—
401#878D411yescharacteristic
402#878D411yescharacteristic
403#878D411yescharacteristic
404#878D411yescharacteristic
405#877—21no—
406#875C2311yescharacteristic
407C4×D12C2311yescharacteristic
408#870—21no—
409#870—21no—
410#870C2311yescharacteristic
411#870C2311yescharacteristic
412#869—21no—
413#869—21no—
414#869C2311yescharacteristic
415#869C2311yescharacteristic
416#869C2311yescharacteristic
417C4×Dic6—21no—
418C4×Dic6—21no—
419C4×Dic6—21no—
420C4×Dic6—21no—
421C4×Dic6C2311yescharacteristic
422C4×Dic6C2311yescharacteristic
423C4×Dic6C2311yescharacteristic
424C4×Dic6C2311yescharacteristic
425C4×Dic6C2311yescharacteristic
426C3×#107C2311yescharacteristic
427C3×#107C2311yescharacteristic
428C3×#106C2311yescharacteristic
429C3×#106C2311yescharacteristic
430C3×C4⋊C8C2311yescharacteristic
431C3×C4⋊C8C2311yescharacteristic
432C3×#103C2311yescharacteristic
433C3×#103C2311yescharacteristic
434C3×#102C2311yescharacteristic
435C3×#102C2311yescharacteristic
436C3×#102C2311yescharacteristic
437C3×#102C2311yescharacteristic
438C3×#102C2311yescharacteristic
439C3×#102C2311yescharacteristic
440C3×C22⋊C8C2311yescharacteristic
441C3×C22⋊C8C2311yescharacteristic
442C3×#97C2311yescharacteristic
443C3×C4×C8C2311yescharacteristic
444#835C2311yescharacteristic
445#835C2311yescharacteristic
446#832C2311yescharacteristic
447#832C2311yescharacteristic
448#832C2311yescharacteristic
449#832C2311yescharacteristic
450#832C2311yescharacteristic
451#832C2311yescharacteristic
452#832C2311yescharacteristic
453#832C2311yescharacteristic
454#832C2311yescharacteristic
455#832C2311yescharacteristic
456#830C2311yescharacteristic
457#830C2311yescharacteristic
458#821C2311yescharacteristic
459#821C2311yescharacteristic
460#821C2311yescharacteristic
461#821C2311yescharacteristic
462#818C2311yescharacteristic
463#818C2311yescharacteristic
464#817C2311yescharacteristic
465#817C2311yescharacteristic
466#817C2311yescharacteristic
467#817C2311yescharacteristic
468#817C2311yescharacteristic
469#817C2311yescharacteristic
470#816C2311yescharacteristic
471#816C2311yescharacteristic
472#816C2311yescharacteristic
473#816C2311yescharacteristic
474#815C2311yescharacteristic
475#815C2311yescharacteristic
476#815C2311yescharacteristic
477#815C2311yescharacteristic
478Dic3⋊C8C2311yescharacteristic
479Dic3⋊C8C2311yescharacteristic
480Dic3⋊C8C2311yescharacteristic
481Dic3⋊C8C2311yescharacteristic
482Dic3⋊C8C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486C8×Dic3C2311yescharacteristic
487C8×Dic3C2311yescharacteristic
488C8×Dic3C2311yescharacteristic
489C8×Dic3C2311yescharacteristic
490#810C2311yescharacteristic
491#810C2311yescharacteristic
492#809C2311yescharacteristic
493#809C2311yescharacteristic
494#808C2311yescharacteristic
495#808C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#808C2311yescharacteristic
499#808C2311yescharacteristic
500#808C2311yescharacteristic
501#808C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506C4⋊(C3⋊C8)C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508#803C2311yescharacteristic
509C4×C3⋊C8C2311yescharacteristic
510#562—61no—
511#562—61no—
512#559—31no—
513#559—31no—
514#559—31no—
515Q82—31no—
516Q82—31no—
517#557—31no—
518#557—31no—
519#557—31no—
520#554—31no—
521#554—31no—
522#554—31no—
523#554—31no—
524#554—61no—
525#554—61no—
526#550—31no—
527D4×Q8—31no—
528D4×Q8—31no—
529D4×Q8—31no—
530D4×Q8—61no—
531D4×Q8—61no—
532#548—61no—
533#547—61no—
534#544—31no—
535#544—31no—
536#544—61no—
537#544—61no—
538#542—31no—
539#542—31no—
540#542—61no—
541#540—31no—
542#540C2×D311yescharacteristic
543#539—61no—
544#539—61no—
545#536—61no—
546#533—31no—
547#533—61no—
548#532—31no—
549C2×C4⋊Q8—31no—
550C2×C4⋊Q8—61no—
551#529—31no—
552#520—31no—
553#520C2×D311yescharacteristic
554C4×#41—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501—31no—
559#501—31no—
560#501—31no—
561#499—31no—
562#499—31no—
563#498—31no—
564#498—31no—
565#498—31no—
566#498—31no—
567#490—31no—
568#490—31no—
569#489—31no—
570#489—31no—
571#489—31no—
572#489—31no—
573#488—31no—
574#488—31no—
575#486—31no—
576#486—31no—
577#486—31no—
578#486—31no—
579#485—31no—
580#483—31no—
581#483—31no—
582#482—31no—
583#482—31no—
584#482—31no—
585#481—31no—
586#481—31no—
587#481—31no—
588#481C2×D311yescharacteristic
589#480—31no—
590#480C2×D311yescharacteristic
591#479—31no—
592#479—31no—
593#479—31no—
594#479—31no—
595#479C2×D311yescharacteristic
596#478—31no—
597#478—31no—
598#478—31no—
599#478—31no—
600#478—31no—
601#478—31no—
602#478—31no—
603#478—31no—
604#478C2×D311yescharacteristic
605#477—31no—
606#477—31no—
607#476—31no—
608#476—31no—
609#476—31no—
610#476—31no—
611#476—31no—
612#476—31no—
613#476—31no—
614#476—31no—
615#476—31no—
616#476—31no—
617#476—31no—
618#476—31no—
619#475—31no—
620#475—31no—
621#475—31no—
622#475—31no—
623#475—31no—
624#474—31no—
625#474—31no—
626#474—31no—
627#464—31no—
628#464—31no—
629#464—31no—
630#463—31no—
631#463—31no—
632#463—31no—
633#460—31no—
634#460—31no—
635#460C2×D311yescharacteristic
636#459—31no—
637#459—31no—
638#459C2×D311yescharacteristic
639#452—31no—
640#449—31no—
641#449C2×D311yescharacteristic
642#449C2×D311yescharacteristic
643#446—31no—
644#446—31no—
645#446—31no—
646#446—31no—
647#446—31no—
648#446—31no—
649C8×Q8—31no—
650C8×Q8—31no—
651#442—31no—
652#442—31no—
653#442—31no—
654#442—31no—
655#442—31no—
656#442C2×D311yescharacteristic
657#441—31no—
658#441—31no—
659#440—31no—
660#440—31no—
661#440—31no—
662#440C2×D311yescharacteristic
663C4×Q16—31no—
664C4×SD16—31no—
665C4×SD16—31no—
666C4×SD16—31no—
667C4×SD16—31no—
668C4×SD16—31no—
669C4×SD16—31no—
670C4×SD16—31no—
671C4×SD16C2×D311yescharacteristic
672C4×D8—31no—
673C4×D8—31no—
674C4×D8C2×D311yescharacteristic
675#433—31no—
676#433—31no—
677#433—31no—
678#433C2×D311yescharacteristic
679#432—31no—
680#431—31no—
681C3×#41—22no—
682C3×#41—22no—
683C2×C3×Q8C2411yescharacteristic
684C2×C3×D4—21no—
685C2×C3×D4—21no—
686C2×C3×D4—21no—
687C2×C3×D4—21no—
688C2×C3×D4—21no—
689C2×C3×D4C2411yescharacteristic
690C2×C3×D4C2411yescharacteristic
691C2×C3×D4C2411yescharacteristic
692C22×C3×C4—21no—
693C22×C3×C4—21no—
694C22×C3×C4—21no—
695C22×C3×C4—21no—
696C22×C3×C4—21no—
697C22×C3×C4—21no—
698C22×C3×C4C2411yescharacteristic
699C2×#67—21no—
700C2×#67—21no—
701C2×#67—21no—
702C2×#67—21no—
703C2×#67—21no—
704C22×Dic3—21no—
705C22×Dic3—21no—
706C22×Dic3—21no—
707C22×Dic3—21no—
708C22×Dic3—21no—
709C22×Dic3—21no—
710C22×Dic3—21no—
711C22×Dic3—21no—
712C22×Dic3—21no—
713C22×Dic3C2×D411yescharacteristic
714C22×Dic3C2×D411yescharacteristic
715#237—82no—
716#237—82no—
717C2×D12C2411yescharacteristic
718C2×C4×D3—21no—
719C2×C4×D3—21no—
720C2×C4×D3—21no—
721C2×Dic6—21no—
722C2×Dic6—21no—
723C2×Dic6—21no—
724C2×Dic6—21no—
725C2×Dic6—21no—
726C2×Dic6—21no—
727C2×Dic6—21no—
728C2×Dic6—21no—
729C2×Dic6—21no—
730C2×Dic6—21no—
731C2×Dic6—21no—
732C2×Dic6—82no—
733C2×Dic6—82no—
734C2×Dic6—82no—
735C2×Dic6—82no—
736C2×Dic6C2×D411yescharacteristic
737C2×Dic6C2×D411yescharacteristic
738C2×Dic6C2×D411yescharacteristic
739C2×Dic6C2×D411yescharacteristic
740C2×Dic6C2411yescharacteristic
741C3×SD16—22no—
742C3×SD16—22no—
743C3×D8—22no—
744C3×D8—22no—
745C2×C3×C8C2411yescharacteristic
746C2×C3×C8C2411yescharacteristic
747C2×C3×C8C2411yescharacteristic
748C2×C3×C8C2411yescharacteristic
749C3×C4⋊C4—21no—
750C3×C4⋊C4—21no—
751C3×C4⋊C4—21no—
752C3×C4⋊C4—21no—
753C3×C4⋊C4—21no—
754C3×C4⋊C4C2×D411yescharacteristic
755C3×C4⋊C4C2×D411yescharacteristic
756C3×C4⋊C4C2411yescharacteristic
757C3×C4⋊C4C2411yescharacteristic
758C3×C4⋊C4C2411yescharacteristic
759C3×C4⋊C4C2411yescharacteristic
760C3×C22⋊C4—21no—
761C3×C22⋊C4—21no—
762C3×C22⋊C4—21no—
763C3×C22⋊C4—21no—
764C3×C22⋊C4—21no—
765C3×C22⋊C4—21no—
766C3×C22⋊C4C2×D411yescharacteristic
767C3×C22⋊C4C2×D411yescharacteristic
768C3×C42—21no—
769C3×C42—21no—
770C3×C42C2411yescharacteristic
771C3×C42C2411yescharacteristic
772#217—21no—
773#217—21no—
774#217—21no—
775#217—21no—
776#217—21no—
777#217—21no—
778#217—21no—
779#217—21no—
780#217—21no—
781#217—21no—
782#217—21no—
783#217—21no—
784#217—21no—
785#217—21no—
786#217C2×D411yescharacteristic
787#217C2×D411yescharacteristic
788#216—22no—
789#215—22no—
790#214—22no—
791#213—22no—
792(C2×D3)⋊C4—21no—
793(C2×D3)⋊C4—21no—
794(C2×D3)⋊C4—21no—
795(C2×D3)⋊C4—21no—
796(C2×D3)⋊C4—21no—
797(C2×D3)⋊C4—21no—
798C4⋊Dic3—21no—
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⋊Dic3—21no—
810C4⋊Dic3C2×D411yescharacteristic
811C4⋊Dic3C2×D411yescharacteristic
812C4⋊Dic3C2×D411yescharacteristic
813C4⋊Dic3C2×D411yescharacteristic
814C4⋊Dic3C2×D411yescharacteristic
815C4⋊Dic3C2×D411yescharacteristic
816C4⋊Dic3C2411yescharacteristic
817C4⋊Dic3C2411yescharacteristic
818C4⋊Dic3C2411yescharacteristic
819C4⋊Dic3C2411yescharacteristic
820C4⋊Dic3C2411yescharacteristic
821C4⋊Dic3C2411yescharacteristic
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⋊C4—21no—
838Dic3⋊C4—21no—
839Dic3⋊C4—21no—
840Dic3⋊C4—21no—
841Dic3⋊C4—21no—
842Dic3⋊C4C2×D411yescharacteristic
843Dic3⋊C4C2×D411yescharacteristic
844Dic3⋊C4C2×D411yescharacteristic
845Dic3⋊C4C2×D411yescharacteristic
846Dic3⋊C4C2×D411yescharacteristic
847Dic3⋊C4C2×D411yescharacteristic
848Dic3⋊C4C2×D411yescharacteristic
849Dic3⋊C4C2×D411yescharacteristic
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×Dic3C2×D411yescharacteristic
859C4×Dic3C2×D411yescharacteristic
860C4×Dic3C2411yescharacteristic
861C4×Dic3C2411yescharacteristic
862C4×Dic3C2411yescharacteristic
863C4×Dic3C2411yescharacteristic
864C2×C3⋊C8C2411yescharacteristic
865C2×C3⋊C8C2411yescharacteristic
866C2×C3⋊C8C2411yescharacteristic
867C2×C3⋊C8C2411yescharacteristic
868C2×#41—61no—
869C2×#41—61no—
870C2×#41C22×D311yescharacteristic
871C22×Q8—61no—
872C22×Q8—61no—
873C22×Q8—61no—
874C22×Q8—61no—
875C2×Q16—31no—
876C2×SD16—31no—
877C2×SD16—31no—
878C2×SD16C22×D311yescharacteristic
879C2×SD16C22×D311yescharacteristic
880C2×D8—31no—
881C2×D8C22×D311yescharacteristic
882C2×D8C22×D311yescharacteristic
883C4⋊Q8—31no—
884C4⋊Q8—31no—
885C4⋊Q8—31no—
886C4⋊Q8—31no—
887C4⋊Q8—31no—
888C4⋊Q8—31no—
889C4⋊Q8—31no—
890C4⋊Q8—31no—
891C4⋊Q8—31no—
892C4⋊Q8—31no—
893C4⋊Q8—31no—
894C4⋊Q8—31no—
895C4⋊Q8—31no—
896C4⋊Q8—61no—
897C4⋊Q8—61no—
898C4⋊Q8—61no—
899C4⋊Q8—61no—
900C4⋊Q8—61no—
901C4⋊Q8—61no—
902C4⋊Q8—61no—
903C4⋊Q8—61no—
904C4⋊Q8—61no—
905C4⋊Q8—61no—
906C4⋊Q8—61no—
907C4⋊Q8—61no—
908C4⋊Q8—61no—
909#127—31no—
910#127—31no—
911#127C22×D311yescharacteristic
912#126—61no—
913#126—61no—
914#126—61no—
915#125—31no—
916#125—31no—
917#125—31no—
918#125—31no—
919#125—31no—
920#125—31no—
921#125—31no—
922#125—31no—
923#125—61no—
924#125—61no—
925#125—61no—
926#125—61no—
927#125—61no—
928#125—61no—
929#125—61no—
930#125—61no—
931#125C22×D311yescharacteristic
932#124—31no—
933#124—31no—
934#124—31no—
935#124—61no—
936#124—61no—
937#124—61no—
938#124—61no—
939#124—61no—
940#124—61no—
941#123—21no—
942#123—21no—
943#123—61no—
944#123—61no—
945#123—61no—
946#123—61no—
947#123—61no—
948#123—61no—
949#123—61no—
950#123—61no—
951#123—61no—
952#123—61no—
953#123—61no—
954C22⋊Q8—31no—
955C22⋊Q8—31no—
956C22⋊Q8—31no—
957C22⋊Q8—31no—
958C22⋊Q8—31no—
959C22⋊Q8—61no—
960C22⋊Q8—61no—
961C22⋊Q8—61no—
962C22⋊Q8—61no—
963C22⋊Q8—61no—
964C22⋊Q8—61no—
965C22⋊Q8—61no—
966C22⋊Q8—61no—
967C22⋊Q8—61no—
968C22⋊Q8—61no—
969C22⋊Q8—61no—
970C22⋊Q8—61no—
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—
986#121—21no—
987#121—21no—
988#121—31no—
989#121—61no—
990#121—61no—
991#121—61no—
992#121—61no—
993#121—61no—
994#121—61no—
995#121C22×D311yescharacteristic
996#121C22×D311yescharacteristic
997C4×Q8—31no—
998C4×Q8—31no—
999C4×Q8—31no—
1000C4×Q8—31no—
1001C4×Q8—31no—
1002C4×Q8—31no—
1003C4×Q8—31no—
1004C4×Q8—31no—
1005C4×Q8—31no—
1006C4×Q8—31no—
1007C4×Q8—31no—
1008C4×Q8—61no—
1009C4×Q8—61no—
1010C4×Q8—61no—
1011C4×Q8—61no—
1012C4×Q8—61no—
1013C4×Q8C22×D311yescharacteristic
1014C4×Q8C22×D311yescharacteristic
1015C4×D4—21no—
1016C4×D4—21no—
1017C4×D4—31no—
1018C4×D4—31no—
1019C4×D4—31no—
1020C4×D4—31no—
1021C4×D4—31no—
1022C4×D4—31no—
1023C4×D4—31no—
1024C4×D4—31no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—31no—
1028C4×D4—61no—
1029C4×D4—61no—
1030C4×D4—61no—
1031C4×D4—61no—
1032C4×D4—61no—
1033C4×D4—61no—
1034C4×D4—61no—
1035C4×D4—61no—
1036C4×D4—61no—
1037C4×D4C22×D311yescharacteristic
1038C4×D4C22×D311yescharacteristic
1039C4×D4C22×D311yescharacteristic
1040C4×D4C22×D311yescharacteristic
1041#117—21no—
1042#117—31no—
1043#117—31no—
1044#117—61no—
1045#117—61no—
1046#117—61no—
1047#117C22×D311yescharacteristic
1048C2×C4⋊C4—21no—
1049C2×C4⋊C4—31no—
1050C2×C4⋊C4—61no—
1051C2×C4⋊C4—61no—
1052C2×C4⋊C4—61no—
1053C2×C4⋊C4—61no—
1054C2×C4⋊C4—61no—
1055C2×C4⋊C4—61no—
1056C2×C4⋊C4C22×D311yescharacteristic
1057C2×C42—31no—
1058C2×C42—61no—
1059#107—31no—
1060#107—31no—
1061#107—31no—
1062#107—31no—
1063#107—31no—
1064#107—31no—
1065#107C22×D311yescharacteristic
1066#107C22×D311yescharacteristic
1067#106—31no—
1068#106—31no—
1069#106—31no—
1070#106—31no—
1071#106—31no—
1072#106—31no—
1073#106—31no—
1074#106—31no—
1075#106—31no—
1076#106—31no—
1077#106—31no—
1078#106—31no—
1079#106—31no—
1080#106—31no—
1081#106C22×D311yescharacteristic
1082#106C22×D311yescharacteristic
1083C4⋊C8—31no—
1084C4⋊C8—31no—
1085C4⋊C8—31no—
1086C4⋊C8—31no—
1087C4⋊C8—31no—
1088C4⋊C8—31no—
1089C4⋊C8—31no—
1090C4⋊C8—31no—
1091C4⋊C8—31no—
1092C4⋊C8—31no—
1093C4⋊C8C22×D311yescharacteristic
1094C4⋊C8C22×D311yescharacteristic
1095#103—31no—
1096#103—31no—
1097#103—31no—
1098#103—31no—
1099#103—31no—
1100#103—31no—
1101#103—31no—
1102#103—31no—
1103#103C22×D311yescharacteristic
1104#103C22×D311yescharacteristic
1105#102—31no—
1106#102—31no—
1107#102—31no—
1108#102—31no—
1109#102—31no—
1110#102—31no—
1111#102—31no—
1112#102—31no—
1113#102—31no—
1114#102—31no—
1115#102—31no—
1116#102—31no—
1117#102—31no—
1118#102—31no—
1119#102—31no—
1120#102—31no—
1121#102C22×D311yescharacteristic
1122#102C22×D311yescharacteristic
1123#102C22×D311yescharacteristic
1124#102C22×D311yescharacteristic
1125#102C22×D311yescharacteristic
1126#102C22×D311yescharacteristic
1127C22⋊C8—31no—
1128C22⋊C8—31no—
1129C22⋊C8C22×D311yescharacteristic
1130C22⋊C8C22×D311yescharacteristic
1131#97—31no—
1132#97—31no—
1133#97—31no—
1134#97—31no—
1135#97—31no—
1136#97C22×D311yescharacteristic
1137C4×C8—31no—
1138C4×C8—31no—
1139C4×C8—31no—
1140C4×C8—31no—
1141C4×C8—31no—
1142C4×C8C22×D311yescharacteristic
1143C23×C3—21no—
1144C23×C3—21no—
1145C23×C3—21no—
1146C23×C3C22×D411yescharacteristic
1147C22×D3—21no—
1148C3×Q8—21no—
1149C3×Q82−1+412yes—
1150C3×D4—24no—
1151C3×D4—21no—
1152C3×D4—21no—
1153C3×D4—21no—
1154C3×D4—21no—
1155C3×D4—21no—
1156C3×D4—81no—
1157C3×D4—81no—
1158C3×D4—81no—
1159C3×D4—81no—
1160C3×D42−1+412yes—
1161C2×C3×C4—24no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—81no—
1170C2×C3×C4—81no—
1171C2×C3×C4—81no—
1172C2×C3×C4—81no—
1173C2×C3×C4—81no—
1174C2×C3×C4C22×D411yescharacteristic
1175C2×C3×C4C22×D411yescharacteristic
1176C2×C3×C4C22×D411yescharacteristic
1177C2×C3×C4C22×D411yescharacteristic
1178C2×C3×C4C22×D411yescharacteristic
1179C2×C3×C4C2511yescharacteristic
1180#67—42no—
1181#67—81no—
1182#67—81no—
1183#67—81no—
1184#67—81no—
1185C2×Dic3—22no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—41no—
1194C2×Dic3—42no—
1195C2×Dic3—42no—
1196C2×Dic3—42no—
1197C2×Dic3—81no—
1198C2×Dic3—81no—
1199C2×Dic3—81no—
1200C2×Dic3—81no—
1201C2×Dic3—81no—
1202C2×Dic3—81no—
1203C2×Dic3C22×D411yescharacteristic
1204C2×Dic3C22×D411yescharacteristic
1205C2×Dic3C22×D411yescharacteristic
1206C2×Dic3C22×D411yescharacteristic
1207C2×Dic3C22×D411yescharacteristic
1208C2×Dic3C22×D411yescharacteristic
1209C2×Dic3C22×D411yescharacteristic
1210C2×Dic3C22×D411yescharacteristic
1211D12—21no—
1212D12—21no—
1213C4×D3—81no—
1214C4×D3—81no—
1215C4×D3—81no—
1216Dic6—22no—
1217Dic6—22no—
1218Dic6—21no—
1219Dic6—21no—
1220Dic6—41no—
1221Dic6—41no—
1222Dic6—42no—
1223Dic6—42no—
1224Dic6—42no—
1225Dic6—81no—
1226Dic6—81no—
1227Dic6—81no—
1228Dic6—81no—
1229Dic6—81no—
1230Dic6—81no—
1231Dic6—81no—
1232Dic6—81no—
1233C3×C8—21no—
1234C3×C8—21no—
1235C3×C8—21no—
1236C3×C8—21no—
1237C3⋊C8—21no—
1238C3⋊C8—21no—
1239C3⋊C8—21no—
1240C3⋊C8—21no—
1241#41—22no—
1242#41—22no—
1243#41—242no—
1244#41—242no—
1245C2×Q8—31no—
1246C2×Q8—31no—
1247C2×Q8—31no—
1248C2×Q8—31no—
1249C2×Q8—31no—
1250C2×Q8—61no—
1251C2×Q8—61no—
1252C2×Q8—61no—
1253C2×Q8—61no—
1254C2×Q8—61no—
1255C2×Q8—61no—
1256C2×Q8—61no—
1257C2×Q8—61no—
1258C2×Q8—61no—
1259C2×Q8—61no—
1260C2×Q8—61no—
1261C2×Q8—242no—
1262C2×Q8—242no—
1263C2×Q8—242no—
1264C2×Q8—242no—
1265C2×Q8C23×D311yescharacteristic
1266C2×D4—21no—
1267C2×D4—21no—
1268C2×D4—21no—
1269C2×D4—21no—
1270C2×D4—21no—
1271C2×D4—31no—
1272C2×D4—61no—
1273C2×D4—61no—
1274C2×D4—61no—
1275C2×D4—61no—
1276C2×D4—61no—
1277C2×D4C23×D311yescharacteristic
1278C2×D4C23×D311yescharacteristic
1279C2×D4C23×D311yescharacteristic
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—31no—
1287C22×C4—31no—
1288C22×C4—61no—
1289C22×C4—61no—
1290C22×C4—61no—
1291C22×C4—61no—
1292C22×C4—61no—
1293C22×C4—61no—
1294C22×C4—61no—
1295C22×C4—61no—
1296C22×C4—61no—
1297C22×C4—61no—
1298C22×C4—61no—
1299C22×C4—61no—
1300C22×C4C23×D311yescharacteristic
1301Q16—62no—
1302SD16—22no—
1303SD16—22no—
1304SD16—62no—
1305SD16—62no—
1306D8—22no—
1307D8—22no—
1308D8—62no—
1309C2×C8—31no—
1310C2×C8—31no—
1311C2×C8—31no—
1312C2×C8—31no—
1313C2×C8C23×D311yescharacteristic
1314C2×C8C23×D311yescharacteristic
1315C2×C8C23×D311yescharacteristic
1316C2×C8C23×D311yescharacteristic
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—31no—
1323C4⋊C4—31no—
1324C4⋊C4—31no—
1325C4⋊C4—31no—
1326C4⋊C4—31no—
1327C4⋊C4—31no—
1328C4⋊C4—31no—
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—61no—
1343C4⋊C4—61no—
1344C4⋊C4—61no—
1345C4⋊C4—61no—
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⋊C4D3×D411yescharacteristic
1375C4⋊C4D3×D411yescharacteristic
1376C4⋊C4C23×D311yescharacteristic
1377C4⋊C4C23×D311yescharacteristic
1378C4⋊C4C23×D311yescharacteristic
1379C4⋊C4C23×D311yescharacteristic
1380C22⋊C4—21no—
1381C22⋊C4—21no—
1382C22⋊C4—21no—
1383C22⋊C4—21no—
1384C22⋊C4—21no—
1385C22⋊C4—21no—
1386C22⋊C4—31no—
1387C22⋊C4—31no—
1388C22⋊C4—61no—
1389C22⋊C4—61no—
1390C22⋊C4—61no—
1391C22⋊C4—61no—
1392C22⋊C4—61no—
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⋊C4D3×D411yescharacteristic
1409C22⋊C4D3×D411yescharacteristic
1410C42—21no—
1411C42—21no—
1412C42—31no—
1413C42—31no—
1414C42—31no—
1415C42—31no—
1416C42—31no—
1417C42—31no—
1418C42—61no—
1419C42—61no—
1420C42—61no—
1421C42—61no—
1422C42—61no—
1423C42—61no—
1424C42—61no—
1425C42—61no—
1426C42C23×D311yescharacteristic
1427C42C23×D311yescharacteristic
1428C22×C3—21no—
1429C22×C3—21no—
1430C22×C3—22no—
1431C22×C3—21no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3C23×D411yescharacteristic
1441C2×D3—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C3×C4—21no—
1445C3×C4—21no—
1446C3×C4—21no—
1447C3×C4—22no—
1448C3×C4—21no—
1449C3×C4—21no—
1450C3×C4—41no—
1451C3×C4—41no—
1452C3×C4—41no—
1453C3×C4—41no—
1454C3×C4C2×2−1+411yescharacteristic
1455C3×C4C2×2−1+411yescharacteristic
1456Dic3—21no—
1457Dic3—21no—
1458Dic3—21no—
1459Dic3—21no—
1460Dic3—21no—
1461Dic3—21no—
1462Dic3—21no—
1463Dic3—41no—
1464Dic3—41no—
1465Dic3—41no—
1466Dic3—41no—
1467Dic3—41no—
1468Dic3—41no—
1469Dic3—41no—
1470Dic3#57712yes—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—61no—
1475C23C2×D3×D411yescharacteristic
1476Q8—21no—
1477Q8—62no—
1478Q8—62no—
1479Q8—61no—
1480Q8—61no—
1481Q8—121no—
1482Q8—121no—
1483Q8—122no—
1484Q8—122no—
1485Q8—122no—
1486Q8—241no—
1487Q8—241no—
1488Q8—241no—
1489Q8—241no—
1490Q8—241no—
1491Q8—241no—
1492Q8—241no—
1493Q8—241no—
1494Q8#101012yes—
1495D4—24no—
1496D4—21no—
1497D4—21no—
1498D4—21no—
1499D4—21no—
1500D4—21no—
1501D4—61no—
1502D4—61no—
1503D4—81no—
1504D4—81no—
1505D4—81no—
1506D4—81no—
1507D4—122no—
1508D4—241no—
1509D4—241no—
1510D4—241no—
1511D4—241no—
1512D4#101012yes—
1513C2×C4—24no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—31no—
1522C2×C4—31no—
1523C2×C4—31no—
1524C2×C4—31no—
1525C2×C4—31no—
1526C2×C4—31no—
1527C2×C4—31no—
1528C2×C4—31no—
1529C2×C4—62no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—81no—
1538C2×C4—81no—
1539C2×C4—81no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—122no—
1543C2×C4—122no—
1544C2×C4—121no—
1545C2×C4—122no—
1546C2×C4—241no—
1547C2×C4—241no—
1548C2×C4—241no—
1549C2×C4—241no—
1550C2×C4—241no—
1551C2×C4—241no—
1552C2×C4—241no—
1553C2×C4—241no—
1554C2×C4—241no—
1555C2×C4C2×D3×D411yescharacteristic
1556C2×C4C2×D3×D411yescharacteristic
1557C2×C4C2×D3×D411yescharacteristic
1558C2×C4C2×D3×D411yescharacteristic
1559C2×C4C2×D3×D411yescharacteristic
1560C2×C4C24×D311yescharacteristic
1561C8—21no—
1562C8—21no—
1563C8—21no—
1564C8—21no—
1565C8—61no—
1566C8—61no—
1567C8—61no—
1568C8—61no—
1569C2×C3—41no—
1570C2×C3—42no—
1571C2×C3—81no—
1572C2×C3—81no—
1573C2×C3#348611yescharacteristic
1574C2×C3C2×#57711yescharacteristic
1575C2×C3#358511yescharacteristic
1576D3—81no—
1577C22—21no—
1578C22—22no—
1579C22—21no—
1580C22—21no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22C22×D3×D411yescharacteristic
1593C4—21no—
1594C4—22no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—32no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—61no—
1605C4—61no—
1606C4—61no—
1607C4—61no—
1608C4—61no—
1609C4—61no—
1610C4—61no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4C2×#101011yescharacteristic
1619C4C2×#101011yescharacteristic
1620C3#6186011yescharacteristic, complemented, Sylow
1621C2—41no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—241no—
1626C2#8602211yescharacteristic
1627C2#8720411yescharacteristic
1628C2D3×#57711yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3119C2
socleC22×C3C23×D4
hypercenter#3119D3
hypocenterC3#61860
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

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

NH ≅ G/Ntype
1. #86478C2semidirect
2. #85889C2semidirect
3. C3×#3119C2semidirect
4. #83430C2semidirect
5. #82576C2semidirect
6. #81317C2semidirect
7. #81314C2semidirect
8. #81278C2semidirect
9. #81277C2semidirect
10. #81266C2semidirect
11. #81224C2semidirect
12. #81158C2semidirect
13. #81157C2semidirect
14. #80373C2semidirect
15. #80369C2semidirect
16. #80323C2semidirect
17. #80321C2semidirect
18. #80075C2semidirect
19. #80073C2semidirect
20. #80071C2semidirect
21. #80068C2semidirect
22. #79855C2semidirect
23. #79853C2semidirect
24. #79762C2semidirect
25. #79756C2semidirect
26. SD16×Dic6C2semidirect
27. #79627C2semidirect
28. #79576C2semidirect
29. #79569C2semidirect
30. #79365C2semidirect
31. #79359C2semidirect
231. #3119D3semidirect
1620. C3#61860semidirect

Maximal subgroups

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

subgroupindex
#864782
#858892
C3×#31192
#834302
#825762
#813172
#813142
#812782
#812772
#812662
#812242
#811582
#811572
#803732
#803692
#803232
#803212
#800752
#800732
#800712
#800682
#798552
#798532
#797622
#797562
SD16×Dic62
#796272
#795762
#795692
#793652
#793592
#618603