Finite Group Databasebeta

← #11691992

Subgroups — #11691992

Order 768.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86554C211yesmaximal, characteristic, complemented
2#86541C211yesmaximal, characteristic, complemented
3C3×#3263C211yesmaximal, characteristic, complemented
4#83460C211yesmaximal, characteristic, complemented
5#83454C211yesmaximal, characteristic, complemented
6#81082C211yesmaximal, characteristic, complemented
7#81066C211yesmaximal, characteristic, complemented
8#81062C211yesmaximal, characteristic, complemented
9#81055C211yesmaximal, characteristic, complemented
10#81040C211yesmaximal, characteristic, complemented
11#81031C211yesmaximal, characteristic, complemented
12#81020C211yesmaximal, characteristic, complemented
13#81010C211yesmaximal, characteristic, complemented
14#80920C211yesmaximal, characteristic, complemented
15#80914C211yesmaximal, characteristic, complemented
16#80880C211yesmaximal, characteristic, complemented
17#80876C211yesmaximal, characteristic, complemented
18#80685C211yesmaximal, characteristic, complemented
19#80681C211yesmaximal, characteristic, complemented
20#80654C211yesmaximal, characteristic, complemented
21#80650C211yesmaximal, characteristic, complemented
22#80625C211yesmaximal, characteristic, complemented
23#80615C211yesmaximal, characteristic, complemented
24#80584C211yesmaximal, characteristic, complemented
25#80570C211yesmaximal, characteristic, complemented
26#80563C211yesmaximal, characteristic, complemented
27#80519C211yesmaximal, characteristic, complemented
28#80512C211yesmaximal, characteristic, complemented
29#80509C211yesmaximal, characteristic, complemented
30#79090C211yesmaximal, characteristic, complemented
31#79082C211yesmaximal, characteristic, complemented
32#62159—31nomaximal, Sylow
33C3×#542C2211yescharacteristic
34C3×#542C2211yescharacteristic, complemented
35#5734C2211yescharacteristic
36#5729C2211yescharacteristic, complemented
37#5728C2211yescharacteristic, complemented
38#5727C2211yescharacteristic
39#5712—21no—
40#5706—21no—
41#5704—21no—
42#5702—21no—
43#5682—21no—
44#5682C2211yescharacteristic, complemented
45#5681C2211yescharacteristic
46#5680C2211yescharacteristic, complemented
47#5678—21no—
48#5676C2211yescharacteristic
49D3×#124—21no—
50#5669—21no—
51#5667—21no—
52#5659—21no—
53#5654—21no—
54#5650—21no—
55#5645—21no—
56#5642C2211yescharacteristic
57#5641C2211yescharacteristic
58#5641C2211yescharacteristic, complemented
59#5637—21no—
60#5633—21no—
61#5630C2211yescharacteristic
62#5625—21no—
63#5618C2211yescharacteristic, complemented
64#5616C2211yescharacteristic
65#5614C2211yescharacteristic
66#5609C2211yescharacteristic
67#5582C2211yescharacteristic
68#5581C2211yescharacteristic, complemented
69C4×#239C2211yescharacteristic
70#5570C2211yescharacteristic, complemented
71#5563C2211yescharacteristic, complemented
72#5548C2211yescharacteristic
73#5545C2211yescharacteristic
74#5539C2211yescharacteristic, complemented
75#5528C2211yescharacteristic
76#5521C2211yescharacteristic
77#5519C2211yescharacteristic, complemented
78C3×#476C2211yescharacteristic, complemented
79C3×#476C2211yescharacteristic, complemented
80C3×#475C2211yescharacteristic, complemented
81C3×#475C2211yescharacteristic, complemented
82C3×#470C2211yescharacteristic, complemented
83C3×#469C2211yescharacteristic
84C3×#465C2211yescharacteristic
85C3×#465C2211yescharacteristic, complemented
86C3×#464C2211yescharacteristic, complemented
87C3×#464C2211yescharacteristic, complemented
88C3×#463C2211yescharacteristic, complemented
89C3×#463C2211yescharacteristic, complemented
90C3×#424C2211yescharacteristic, complemented
91#5188C2211yescharacteristic, complemented
92#5187C2211yescharacteristic
93#5185C2211yescharacteristic, complemented
94#5184C2211yescharacteristic, complemented
95#5174C2211yescharacteristic, complemented
96#5172C2211yescharacteristic
97#5171C2211yescharacteristic, complemented
98#5169C2211yescharacteristic
99#5165C2211yescharacteristic, complemented
100#5164C2211yescharacteristic, complemented
101#5163C2211yescharacteristic
102Dic3×SD16C2211yescharacteristic, complemented
103#5157C2211yescharacteristic, complemented
104#5156C2211yescharacteristic
105#5152C2211yescharacteristic, complemented
106#5150C2211yescharacteristic
107#5131C2211yescharacteristic
108#5127C2211yescharacteristic
109#5127C2211yescharacteristic, complemented
110#5121C2211yescharacteristic, complemented
111C2×#821C2211yescharacteristic
112#5111C2211yescharacteristic
113C8×#67C2211yescharacteristic, complemented
114#5106C2211yescharacteristic, complemented
115#5087C2211yescharacteristic
116#5084C2211yescharacteristic, complemented
117#5081C2211yescharacteristic, complemented
118#5078C2211yescharacteristic, complemented
119#5057C2211yescharacteristic
120#5057C2211yescharacteristic, complemented
121#5056C2211yescharacteristic, complemented
122#5055C2211yescharacteristic, complemented
123#5046C2211yescharacteristic
124#5045C2211yescharacteristic, complemented
125#5045C2211yescharacteristic, complemented
126#5044C2211yescharacteristic, complemented
127#5036C2211yescharacteristic
128#5035C2211yescharacteristic
129#5035C2211yescharacteristic, complemented
130#5033C2211yescharacteristic
131#5026C2211yescharacteristic, complemented
132C4×#215C2211yescharacteristic
133#5022C2211yescharacteristic, complemented
134#5021C2211yescharacteristic, complemented
135#5014C2211yescharacteristic
136C4×#213C2211yescharacteristic, complemented
137#5009C2211yescharacteristic, complemented
138#5007C2211yescharacteristic, complemented
139#5000C2211yescharacteristic, complemented
140#4871C2211yescharacteristic
141#4871C2211yescharacteristic
142#4871C2211yescharacteristic
143#4870C2211yescharacteristic
144#4866C2211yescharacteristic
145#4866C2211yescharacteristic, complemented
146#4866C2211yescharacteristic, complemented
147#4863C2211yescharacteristic
148#4861C2211yescharacteristic, complemented
149#4860C2211yescharacteristic, complemented
150#4860C2211yescharacteristic, complemented
151#4860C2211yescharacteristic, complemented
152#4856C2211yescharacteristic, complemented
153#4856C2211yescharacteristic, complemented
154#4856C2211yescharacteristic, complemented
155#4855C2211yescharacteristic, complemented
156#4847C2211yescharacteristic
157#4847C2211yescharacteristic
158#4847C2211yescharacteristic, complemented
159#4847C2211yescharacteristic, complemented
160#4846C2211yescharacteristic
161#4846C2211yescharacteristic, complemented
162#4842C2211yescharacteristic
163#4842C2211yescharacteristic, complemented
164#4840C2211yescharacteristic, complemented
165#4839C2211yescharacteristic, complemented
166#4836C2211yescharacteristic, complemented
167#4835C2211yescharacteristic, complemented
168#4834C2211yescharacteristic, complemented
169D3×C4⋊C8C2211yescharacteristic, complemented
170#4831C2211yescharacteristic, complemented
171#4828C2211yescharacteristic, complemented
172#4817C2211yescharacteristic
173#4817C2211yescharacteristic
174#4815C2211yescharacteristic, complemented
175#4814C2211yescharacteristic, complemented
176#4814C2211yescharacteristic, complemented
177#4812C2211yescharacteristic
178#4807C2211yescharacteristic, complemented
179#4805C2211yescharacteristic, complemented
180#4804C2211yescharacteristic
181#4804C2211yescharacteristic
182#4800C2211yescharacteristic, complemented
183#4799C2211yescharacteristic, complemented
184#4799C2211yescharacteristic, complemented
185#4794C2211yescharacteristic, complemented
186#4793C2211yescharacteristic, complemented
187#4793C2211yescharacteristic, complemented
188#4785C2211yescharacteristic
189#4784C2211yescharacteristic, complemented
190#4784C2211yescharacteristic, complemented
191#4779C2211yescharacteristic, complemented
192#4779C2211yescharacteristic, complemented
193#4775C2211yescharacteristic
194#4775C2211yescharacteristic, complemented
195#4770C2211yescharacteristic
196D3×#102C2211yescharacteristic
197#4764C2211yescharacteristic
198#4764C2211yescharacteristic
199#4763C2211yescharacteristic, complemented
200#4761C2211yescharacteristic, complemented
201#4759C2211yescharacteristic, complemented
202#4759C2211yescharacteristic, complemented
203#4756C2211yescharacteristic
204#3565—31no—
205#3514—31no—
206#3386—31no—
207#3384—31no—
208#3371—31no—
209#3370—31no—
210#3350—31no—
211#3349—31no—
212#3348—31no—
213#3347—31no—
214#3341—31no—
215#3340—31no—
216#3319—31no—
217#3318—31no—
218#3311—31no—
219#3310—31no—
220#3297—31no—
221#3296—31no—
222#3263D311yescharacteristic, complemented
223#3262—31no—
224#3247—31no—
225#3244—31no—
226#3243—31no—
227#3235—31no—
228#3118—31no—
229#3118—31no—
230#3111—31no—
231#3081—31no—
232#3081—31no—
233#3076—31no—
234#2992—31no—
235C2×#239C2311yescharacteristic
236C2×D3×Q8—21no—
237C2×D3×D4—21no—
238C2×D3×D4C2311yescharacteristic
239C2×#235—21no—
240C22×D12C2311yescharacteristic
241C2×C3×Q16C2311yescharacteristic
242C2×C3×SD16C2311yescharacteristic
243C2×C3×SD16C2311yescharacteristic
244C2×C3×D8C2311yescharacteristic
245C2×C3×M16C2311yescharacteristic
246C22×C3×C8C2311yescharacteristic
247C3×C4⋊Q8C2311yescharacteristic
248C3×C4⋊Q8C2311yescharacteristic
249C3×#126—21no—
250C3×#126—21no—
251C3×#124—21no—
252C3×#124—21no—
253C3×#124C2311yescharacteristic
254C3×#124C2311yescharacteristic
255C3×#123—21no—
256C3×#123—21no—
257C3×C22⋊Q8—21no—
258C3×C22⋊Q8—21no—
259C3×C22⋊Q8C2311yescharacteristic
260C3×C22⋊Q8C2311yescharacteristic
261C3×#121C2311yescharacteristic
262C3×#121C2311yescharacteristic
263C3×C4×Q8C2311yescharacteristic
264C3×C4×Q8C2311yescharacteristic
265C3×C4×D4C2311yescharacteristic
266C3×C4×D4C2311yescharacteristic
267C3×#117C2311yescharacteristic
268#947—21no—
269#947—21no—
270#947C2311yescharacteristic
271#946—21no—
272#946—21no—
273#946—21no—
274#946C2311yescharacteristic
275#946C2311yescharacteristic
276#946C2311yescharacteristic
277Q8×Dic3—21no—
278Q8×Dic3C2311yescharacteristic
279Q8×Dic3C2311yescharacteristic
280Q8×Dic3C2311yescharacteristic
281#944—21no—
282C2×#215C2311yescharacteristic
283C2×#215C2311yescharacteristic
284#940C2311yescharacteristic
285#939—21no—
286#939—21no—
287#938—21no—
288#938C2311yescharacteristic
289#938C2311yescharacteristic
290#938C2311yescharacteristic
291#937—21no—
292#936—21no—
293#935—21no—
294D4×Dic3—21no—
295D4×Dic3C2311yescharacteristic
296D4×Dic3C2311yescharacteristic
297D4×Dic3C2311yescharacteristic
298C2×#213C2311yescharacteristic
299C2×#213C2311yescharacteristic
300#930—21no—
301C4×#67—21no—
302C4×#67—21no—
303C4×#67C2311yescharacteristic
304C4×#67C2311yescharacteristic
305C2×(C2×D3)⋊C4—21no—
306#926—21no—
307#926C2311yescharacteristic
308#926C2311yescharacteristic
309C2×C4⋊Dic3C2311yescharacteristic
310#924—21no—
311C2×Dic3⋊C4—21no—
312C2×ΓL(1,𝔽25)C2311yescharacteristic
313C2×D3×C8C2311yescharacteristic
314C2×D3×C8C2311yescharacteristic
315C2×D3×C8C2311yescharacteristic
316#898—21no—
317#898—21no—
318#898—21no—
319#898D411yescharacteristic
320#897—21no—
321#896—21no—
322#896—21no—
323#896—21no—
324#896—21no—
325#896D411yescharacteristic
326#895—21no—
327#895—21no—
328#895C2311yescharacteristic
329#895C2311yescharacteristic
330#894—21no—
331#894—21no—
332#894—21no—
333#894D411yescharacteristic
334#893—21no—
335#893—21no—
336#893—21no—
337#893C2311yescharacteristic
338#893C2311yescharacteristic
339#892—21no—
340#892—21no—
341#892C2311yescharacteristic
342#892C2311yescharacteristic
343#892C2311yescharacteristic
344#892C2311yescharacteristic
345#892C2311yescharacteristic
346D3×C4⋊C4C2311yescharacteristic
347#890—21no—
348#890—21no—
349#890—21no—
350#890—21no—
351#890C2311yescharacteristic
352#890C2311yescharacteristic
353#890C2311yescharacteristic
354#889—21no—
355#889—21no—
356#889D411yescharacteristic
357#888—21no—
358#888C2311yescharacteristic
359#888C2311yescharacteristic
360#888C2311yescharacteristic
361#887—21no—
362#887—21no—
363#887—21no—
364#886—21no—
365#886—21no—
366#886—21no—
367#886—21no—
368#885—21no—
369#885—21no—
370#885—21no—
371#885—21no—
372#885—21no—
373#885—21no—
374#885—21no—
375#885—21no—
376#885D411yescharacteristic
377#884—21no—
378#884—21no—
379#884—21no—
380#884D411yescharacteristic
381#883—21no—
382#883—21no—
383#883—21no—
384#883D411yescharacteristic
385#882—21no—
386#882—21no—
387#882—21no—
388#67⋊C4—21no—
389#67⋊C4—21no—
390#67⋊C4—21no—
391#67⋊C4—21no—
392D3×C22⋊C4—21no—
393D3×C22⋊C4—21no—
394D3×C22⋊C4—21no—
395D3×C22⋊C4—21no—
396D3×C22⋊C4—21no—
397#879—21no—
398#879—21no—
399#879—21no—
400#879—21no—
401#879—21no—
402#879—21no—
403#879D411yescharacteristic
404#878—21no—
405#878—21no—
406#878—21no—
407#878—21no—
408#878—21no—
409#877—21no—
410#877—21no—
411#877—21no—
412#876—21no—
413#876—21no—
414#875—21no—
415C4×D12—21no—
416C4×D12C2311yescharacteristic
417C4×D12C2311yescharacteristic
418C4×D12C2311yescharacteristic
419C4×D12C2311yescharacteristic
420C4×D12C2311yescharacteristic
421#872—21no—
422#872C2311yescharacteristic
423C42×D3—21no—
424C42×D3C2311yescharacteristic
425#870C2311yescharacteristic
426#870C2311yescharacteristic
427#869—21no—
428#869C2311yescharacteristic
429#869C2311yescharacteristic
430C4×Dic6—21no—
431C4×Dic6C2311yescharacteristic
432C3×#106C2311yescharacteristic
433C3×#106C2311yescharacteristic
434C3×#106C2311yescharacteristic
435C3×#106C2311yescharacteristic
436C3×C4⋊C8C2311yescharacteristic
437C3×C4⋊C8C2311yescharacteristic
438C3×C4⋊C8C2311yescharacteristic
439C3×C4⋊C8C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#103C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#102C2311yescharacteristic
445C3×#102C2311yescharacteristic
446C3×#102C2311yescharacteristic
447C3×#102C2311yescharacteristic
448#835C2311yescharacteristic
449#835C2311yescharacteristic
450#835C2311yescharacteristic
451#835C2311yescharacteristic
452#835C2311yescharacteristic
453#835C2311yescharacteristic
454#832C2311yescharacteristic
455#832C2311yescharacteristic
456#832C2311yescharacteristic
457#832C2311yescharacteristic
458#832C2311yescharacteristic
459#832C2311yescharacteristic
460#830C2311yescharacteristic
461#830C2311yescharacteristic
462#821C2311yescharacteristic
463#821C2311yescharacteristic
464#821C2311yescharacteristic
465#821C2311yescharacteristic
466#821C2311yescharacteristic
467#821C2311yescharacteristic
468#821C2311yescharacteristic
469#821C2311yescharacteristic
470(C2×D3)⋊C8C2311yescharacteristic
471(C2×D3)⋊C8C2311yescharacteristic
472(C2×D3)⋊C8C2311yescharacteristic
473(C2×D3)⋊C8C2311yescharacteristic
474#818C2311yescharacteristic
475#818C2311yescharacteristic
476#818C2311yescharacteristic
477#818C2311yescharacteristic
478#817C2311yescharacteristic
479#817C2311yescharacteristic
480#817C2311yescharacteristic
481#817C2311yescharacteristic
482#815C2311yescharacteristic
483#815C2311yescharacteristic
484#815C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487Dic3⋊C8C2311yescharacteristic
488Dic3⋊C8C2311yescharacteristic
489C8×Dic3C2311yescharacteristic
490#809C2311yescharacteristic
491#809C2311yescharacteristic
492#809C2311yescharacteristic
493#809C2311yescharacteristic
494#808C2311yescharacteristic
495#808C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#807C2311yescharacteristic
499#807C2311yescharacteristic
500#807C2311yescharacteristic
501#807C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506C4⋊(C3⋊C8)C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508#803C2311yescharacteristic
509C4×C3⋊C8C2311yescharacteristic
510#563—61no—
511#562—61no—
512#559—31no—
513#557—31no—
514#556—31no—
515#556—31no—
516#556—61no—
517#555—31no—
518#555—31no—
519#555—31no—
520#554—31no—
521#553—31no—
522#553—31no—
523#552—31no—
524#552—31no—
525#552—61no—
526#551—61no—
527#551—61no—
528D4×Q8—31no—
529#548—61no—
530#546—31no—
531#546—31no—
532#546—61no—
533D42—31no—
534#544—31no—
535#544—31no—
536#542—31no—
537#542—31no—
538#542—61no—
539#542—61no—
540#542C2×D311yescharacteristic
541#542C2×D311yescharacteristic, complemented
542#541—61no—
543#539—61no—
544#538—61no—
545#538—61no—
546#533—31no—
547#532—31no—
548#529—31no—
549#529—31no—
550#529—61no—
551C2×#124—61no—
552#518—31no—
553#518—31no—
554C4×#41—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501—31no—
559#500—31no—
560#498—31no—
561#490—31no—
562#490—31no—
563#489—31no—
564#489—31no—
565#488—31no—
566#488—31no—
567#485—31no—
568#485—31no—
569#485—31no—
570#485—31no—
571#485—31no—
572#484—31no—
573#483—31no—
574#482—31no—
575#482—31no—
576#482—31no—
577#482—31no—
578#482—31no—
579#482—31no—
580#482—31no—
581#482—31no—
582#482—31no—
583#481—31no—
584#480—31no—
585#479—31no—
586#479—31no—
587#479—31no—
588#478—31no—
589#478—31no—
590#478—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#476—31no—
603#476—31no—
604#476—31no—
605#476C2×D311yescharacteristic, complemented
606#476C2×D311yescharacteristic, complemented
607#475C2×D311yescharacteristic, complemented
608#475C2×D311yescharacteristic, complemented
609#474—31no—
610#474—31no—
611#474—31no—
612#474—31no—
613#474—31no—
614#474—31no—
615#470C2×D311yescharacteristic, complemented
616#469C2×D311yescharacteristic
617#468—31no—
618#468—31no—
619#467—31no—
620#466—31no—
621#466—31no—
622#466—31no—
623#465—31no—
624#465—31no—
625#465C2×D311yescharacteristic
626#465C2×D311yescharacteristic, complemented
627#464—31no—
628#464C2×D311yescharacteristic, complemented
629#464C2×D311yescharacteristic, complemented
630#463—31no—
631#463—31no—
632#463—31no—
633#463C2×D311yescharacteristic, complemented
634#463C2×D311yescharacteristic, complemented
635#460—31no—
636#459—31no—
637#452—31no—
638#450—31no—
639#450—31no—
640#449—31no—
641#447—31no—
642#447—31no—
643#446—31no—
644#446—31no—
645#442—31no—
646#442—31no—
647#442—31no—
648#441—31no—
649#440—31no—
650#440—31no—
651#440—31no—
652#440—31no—
653C4×SD16—31no—
654C4×SD16—31no—
655C4×D8—31no—
656C4×D8—31no—
657#435—31no—
658#435—31no—
659#435—31no—
660#435—31no—
661C8×D4—31no—
662C8×D4—31no—
663#433—31no—
664#433—31no—
665#432—31no—
666#428—31no—
667#428—31no—
668#427—31no—
669#427—31no—
670#427—31no—
671#427—31no—
672#424—31no—
673#424C2×D311yescharacteristic, complemented
674C2×C4⋊C8—31no—
675#418—31no—
676#418—31no—
677#416—31no—
678#416—31no—
679C2×#102—31no—
680C2×#102—31no—
681C23×D3—21no—
682C23×D3—21no—
683C2×C3×Q8—21no—
684C2×C3×Q8—21no—
685C2×C3×Q8C2411yescharacteristic
686C2×C3×Q8C2411yescharacteristic
687C2×C3×D4—21no—
688C2×C3×D4—21no—
689C2×C3×D4C2411yescharacteristic
690C2×C3×D4C2411yescharacteristic
691C22×C3×C4—21no—
692C22×C3×C4—21no—
693C22×C3×C4C2411yescharacteristic
694C2×#67—21no—
695C2×#67—21no—
696C2×#67—21no—
697C2×#67—21no—
698C2×#67—21no—
699C2×#67—21no—
700C2×#67C2×D411yescharacteristic
701C2×#67C2×D411yescharacteristic
702C22×Dic3—21no—
703C22×Dic3—21no—
704C22×Dic3—21no—
705C22×Dic3—21no—
706#239—22no—
707#239—41no—
708D3×Q8—82no—
709D3×D4—22no—
710D3×D4—41no—
711D3×D4—82no—
712#235—82no—
713C2×D12—22no—
714C2×D12—21no—
715C2×D12—21no—
716C2×D12—21no—
717C2×D12—21no—
718C2×D12—41no—
719C2×D12C2×D411yescharacteristic
720C2×D12C2411yescharacteristic
721C2×D12C2411yescharacteristic
722C2×C4×D3—21no—
723C2×C4×D3—21no—
724C2×C4×D3—21no—
725C2×C4×D3—21no—
726C2×C4×D3—21no—
727C2×C4×D3—21no—
728C2×C4×D3—21no—
729C2×C4×D3—21no—
730C2×C4×D3C2×D411yescharacteristic
731C2×C4×D3C2×D411yescharacteristic
732C2×C4×D3C2411yescharacteristic
733C2×C4×D3C2411yescharacteristic
734C2×Dic6—21no—
735C2×Dic6—21no—
736C2×Dic6—21no—
737C2×Dic6—21no—
738C2×Dic6—21no—
739C2×Dic6C2×D411yescharacteristic
740C3×Q16—41no—
741C3×SD16—41no—
742C3×SD16—41no—
743C3×D8—41no—
744C3×M16—41no—
745C2×C3×C8—41no—
746C2×C3×C8C2411yescharacteristic
747C2×C3×C8C2411yescharacteristic
748C2×C3×C8C2411yescharacteristic
749C2×C3×C8C2411yescharacteristic
750C3×C4⋊C4—21no—
751C3×C4⋊C4—21no—
752C3×C4⋊C4—21no—
753C3×C4⋊C4—21no—
754C3×C4⋊C4—21no—
755C3×C4⋊C4—21no—
756C3×C4⋊C4C2×D411yescharacteristic
757C3×C4⋊C4C2×D411yescharacteristic
758C3×C4⋊C4C2411yescharacteristic
759C3×C4⋊C4C2411yescharacteristic
760C3×C4⋊C4C2411yescharacteristic
761C3×C4⋊C4C2411yescharacteristic
762C3×C22⋊C4—21no—
763C3×C22⋊C4—21no—
764C3×C22⋊C4—21no—
765C3×C22⋊C4—21no—
766C3×C22⋊C4—21no—
767C3×C22⋊C4—21no—
768C3×C22⋊C4—21no—
769C3×C22⋊C4—21no—
770C3×C22⋊C4—21no—
771C3×C22⋊C4—21no—
772C3×C22⋊C4C2×D411yescharacteristic
773C3×C22⋊C4C2×D411yescharacteristic
774C3×C42—21no—
775C3×C42—21no—
776C3×C42C2411yescharacteristic
777C3×C42C2411yescharacteristic
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#215—22no—
789#215—41no—
790#213—22no—
791#213—41no—
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—
798(C2×D3)⋊C4—21no—
799(C2×D3)⋊C4—21no—
800(C2×D3)⋊C4—21no—
801(C2×D3)⋊C4—21no—
802(C2×D3)⋊C4—21no—
803(C2×D3)⋊C4—21no—
804(C2×D3)⋊C4—21no—
805(C2×D3)⋊C4—21no—
806(C2×D3)⋊C4—21no—
807(C2×D3)⋊C4—21no—
808(C2×D3)⋊C4—21no—
809(C2×D3)⋊C4—21no—
810(C2×D3)⋊C4C2×D411yescharacteristic
811(C2×D3)⋊C4C2×D411yescharacteristic
812(C2×D3)⋊C4C2×D411yescharacteristic
813(C2×D3)⋊C4C2×D411yescharacteristic
814(C2×D3)⋊C4C2×D411yescharacteristic
815(C2×D3)⋊C4C2×D411yescharacteristic
816C4⋊Dic3—21no—
817C4⋊Dic3—21no—
818C4⋊Dic3—21no—
819C4⋊Dic3—21no—
820C4⋊Dic3—21no—
821C4⋊Dic3—21no—
822C4⋊Dic3—21no—
823C4⋊Dic3—21no—
824C4⋊Dic3—21no—
825C4⋊Dic3C2×D411yescharacteristic
826C4⋊Dic3C2×D411yescharacteristic
827C4⋊Dic3C2411yescharacteristic
828C4⋊Dic3C2411yescharacteristic
829C4⋊Dic3C2411yescharacteristic
830C4⋊Dic3C2411yescharacteristic
831C4⋊Dic3C2411yescharacteristic
832C4⋊Dic3C2411yescharacteristic
833Dic3⋊C4—21no—
834Dic3⋊C4—21no—
835Dic3⋊C4—21no—
836Dic3⋊C4—21no—
837Dic3⋊C4—21no—
838Dic3⋊C4—21no—
839Dic3⋊C4—21no—
840Dic3⋊C4—21no—
841Dic3⋊C4—21no—
842Dic3⋊C4—21no—
843Dic3⋊C4—21no—
844Dic3⋊C4—21no—
845Dic3⋊C4—21no—
846Dic3⋊C4—21no—
847Dic3⋊C4C2×D411yescharacteristic
848Dic3⋊C4C2×D411yescharacteristic
849Dic3⋊C4C2×D411yescharacteristic
850Dic3⋊C4C2×D411yescharacteristic
851Dic3⋊C4C2×D411yescharacteristic
852Dic3⋊C4C2×D411yescharacteristic
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
867C2×C3⋊C8C2411yescharacteristic
868C2×C3⋊C8C2411yescharacteristic
869C2×C3⋊C8C2411yescharacteristic
870C2×C3⋊C8C2411yescharacteristic
871ΓL(1,𝔽25)—41no—
872D3×C8—41no—
873D3×C8—41no—
874D3×C8—41no—
875C2×#41—31no—
876C2×#41—61no—
877C22×Q8—61no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—61no—
881C2×Q16C22×D311yescharacteristic
882C2×SD16—31no—
883C2×SD16—31no—
884C2×SD16C22×D311yescharacteristic
885C2×SD16C22×D311yescharacteristic
886C2×D8—31no—
887C2×D8—31no—
888C2×D8C22×D311yescharacteristic
889C2×M16—31no—
890C2×M16C22×D311yescharacteristic
891C22×C8—31no—
892C22×C8—31no—
893C22×C8—31no—
894C22×C8C22×D311yescharacteristic
895C4⋊Q8—31no—
896C4⋊Q8—31no—
897C4⋊Q8—31no—
898C4⋊Q8—31no—
899C4⋊Q8—31no—
900C4⋊Q8—61no—
901C4⋊Q8—61no—
902C4⋊Q8—61no—
903C4⋊Q8C22×D311yescharacteristic
904C4⋊Q8C22×D311yescharacteristic
905#127—31no—
906#126—21no—
907#126—21no—
908#126—31no—
909#126—31no—
910#126—61no—
911#126—61no—
912#126—61no—
913#126—61no—
914#126—61no—
915#126—61no—
916#126—61no—
917#126—61no—
918#126—61no—
919#126—61no—
920#126—61no—
921#125—31no—
922#125—31no—
923#125—31no—
924#125—31no—
925#125—31no—
926#125—31no—
927#125—61no—
928#125—61no—
929#125—61no—
930#125—61no—
931#125—61no—
932#125—61no—
933#124—21no—
934#124—21no—
935#124—31no—
936#124—31no—
937#124—61no—
938#124—61no—
939#124—61no—
940#124—61no—
941#124—61no—
942#124—61no—
943#124—61no—
944#124—61no—
945#124—61no—
946#124—61no—
947#124—61no—
948#124—61no—
949#124C22×D311yescharacteristic
950#124C22×D311yescharacteristic
951#123—21no—
952#123—21no—
953#123—31no—
954#123—31no—
955#123—61no—
956#123—61no—
957#123—61no—
958#123—61no—
959#123—61no—
960#123—61no—
961#123—61no—
962#123—61no—
963#123—61no—
964#123—61no—
965#123—61no—
966C22⋊Q8—21no—
967C22⋊Q8—21no—
968C22⋊Q8—31no—
969C22⋊Q8—31no—
970C22⋊Q8—31no—
971C22⋊Q8—31no—
972C22⋊Q8—61no—
973C22⋊Q8—61no—
974C22⋊Q8—61no—
975C22⋊Q8—61no—
976C22⋊Q8—61no—
977C22⋊Q8—61no—
978C22⋊Q8—61no—
979C22⋊Q8—61no—
980C22⋊Q8—61no—
981C22⋊Q8—61no—
982C22⋊Q8—61no—
983C22⋊Q8—61no—
984C22⋊Q8—61no—
985C22⋊Q8—61no—
986C22⋊Q8C22×D311yescharacteristic
987C22⋊Q8C22×D311yescharacteristic
988#121—31no—
989#121—31no—
990#121—31no—
991#121—31no—
992#121—31no—
993#121—31no—
994#121—61no—
995#121—61no—
996#121—61no—
997#121—61no—
998#121—61no—
999#121—61no—
1000#121—61no—
1001#121—61no—
1002#121—61no—
1003#121C22×D311yescharacteristic
1004#121C22×D311yescharacteristic
1005#120—61no—
1006#120—61no—
1007#120—61no—
1008#120—61no—
1009C4×Q8—31no—
1010C4×Q8—31no—
1011C4×Q8—31no—
1012C4×Q8—31no—
1013C4×Q8—61no—
1014C4×Q8—61no—
1015C4×Q8—61no—
1016C4×Q8—61no—
1017C4×Q8—61no—
1018C4×Q8C22×D311yescharacteristic
1019C4×Q8C22×D311yescharacteristic
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—31no—
1029C4×D4—31no—
1030C4×D4—31no—
1031C4×D4—31no—
1032C4×D4—61no—
1033C4×D4—61no—
1034C4×D4—61no—
1035C4×D4—61no—
1036C4×D4—61no—
1037C4×D4—61no—
1038C4×D4—61no—
1039C4×D4—61no—
1040C4×D4—61no—
1041C4×D4—61no—
1042C4×D4—61no—
1043C4×D4C22×D311yescharacteristic
1044C4×D4C22×D311yescharacteristic
1045#117—31no—
1046#117—31no—
1047#117—31no—
1048#117—31no—
1049#117—31no—
1050#117—31no—
1051#117—31no—
1052#117—31no—
1053#117—61no—
1054#117—61no—
1055#117—61no—
1056#117—61no—
1057#117—61no—
1058#117—61no—
1059#117—61no—
1060#117C22×D311yescharacteristic
1061C2×C4⋊C4—31no—
1062C2×C4⋊C4—31no—
1063C2×C4⋊C4—61no—
1064C2×C22⋊C4—61no—
1065C2×C22⋊C4—61no—
1066C2×C22⋊C4—61no—
1067C2×C22⋊C4—61no—
1068C2×C22⋊C4—61no—
1069C2×C22⋊C4—61no—
1070C2×C42—31no—
1071C2×C42—61no—
1072#107—31no—
1073#107—31no—
1074#107—31no—
1075#107—31no—
1076#107—31no—
1077#107—31no—
1078#107—31no—
1079#107—31no—
1080#107—31no—
1081#107—31no—
1082#107—31no—
1083#107—31no—
1084#106—31no—
1085#106—31no—
1086#106—31no—
1087#106—31no—
1088#106—31no—
1089#106—31no—
1090#106—31no—
1091#106—31no—
1092#106C22×D311yescharacteristic
1093#106C22×D311yescharacteristic
1094#106C22×D311yescharacteristic
1095#106C22×D311yescharacteristic
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
1105C4⋊C8C22×D311yescharacteristic
1106#103—31no—
1107#103—31no—
1108#103—31no—
1109#103—31no—
1110#103—31no—
1111#103—31no—
1112#103C22×D311yescharacteristic
1113#103C22×D311yescharacteristic
1114#103C22×D311yescharacteristic
1115#103C22×D311yescharacteristic
1116#102—31no—
1117#102—31no—
1118#102—31no—
1119#102—31no—
1120#102—31no—
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#102C22×D311yescharacteristic
1135#102C22×D311yescharacteristic
1136#102C22×D311yescharacteristic
1137#102C22×D311yescharacteristic
1138C22⋊C8—31no—
1139C22⋊C8—31no—
1140C22⋊C8—31no—
1141C22⋊C8—31no—
1142C22⋊C8—31no—
1143C22⋊C8—31no—
1144#97—31no—
1145#97—31no—
1146#97—31no—
1147#97—31no—
1148C4×C8—31no—
1149C4×C8—31no—
1150C23×C3—21no—
1151C23×C3—21no—
1152C23×C3C22×D411yescharacteristic
1153C22×D3—21no—
1154C22×D3—21no—
1155C22×D3—42no—
1156C22×D3—42no—
1157C22×D3—81no—
1158C22×D3—81no—
1159C22×D3—81no—
1160C22×D3—81no—
1161C22×D3C22×D411yescharacteristic
1162C22×D3C22×D411yescharacteristic
1163C3×Q8—21no—
1164C3×Q8—21no—
1165C3×Q8—21no—
1166C3×Q8—21no—
1167C3×Q8—81no—
1168C3×Q8—81no—
1169C3×D4—21no—
1170C3×D4—21no—
1171C3×D4—21no—
1172C3×D4—21no—
1173C3×D4—81no—
1174C3×D4—81no—
1175C2×C3×C4—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×C4—81no—
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—41no—
1192#67—41no—
1193#67—42no—
1194#67—42no—
1195#67—81no—
1196#67—81no—
1197#67—81no—
1198#67—81no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—81no—
1206C2×Dic3—81no—
1207C2×Dic3—81no—
1208C2×Dic3—81no—
1209C2×Dic3C22×D411yescharacteristic
1210C2×Dic3C22×D411yescharacteristic
1211C2×Dic3C22×D411yescharacteristic
1212C2×Dic3C22×D411yescharacteristic
1213C2×Dic3C22×D411yescharacteristic
1214C2×Dic3C22×D411yescharacteristic
1215D12—21no—
1216D12—21no—
1217D12—21no—
1218D12—41no—
1219D12—42no—
1220D12—42no—
1221D12—81no—
1222D12—81no—
1223D122−1+412yes—
1224C4×D3—21no—
1225C4×D3—21no—
1226C4×D3—21no—
1227C4×D3—21no—
1228C4×D3—41no—
1229C4×D3—41no—
1230C4×D3—42no—
1231C4×D3—42no—
1232C4×D3—81no—
1233C4×D3—81no—
1234C4×D3—81no—
1235C4×D3—81no—
1236C4×D3—81no—
1237C4×D3—81no—
1238Dic6—41no—
1239Dic6—42no—
1240Dic6—81no—
1241Dic6—81no—
1242Dic6—81no—
1243Dic6—81no—
1244C3×C8—21no—
1245C3×C8—21no—
1246C3×C8—21no—
1247C3×C8—21no—
1248C3⋊C8—21no—
1249C3⋊C8—21no—
1250C3⋊C8—21no—
1251C3⋊C8—21no—
1252C24—61no—
1253C24—61no—
1254#41—62no—
1255#41—121no—
1256#41—242no—
1257C2×Q8—21no—
1258C2×Q8—21no—
1259C2×Q8—31no—
1260C2×Q8—61no—
1261C2×Q8—61no—
1262C2×Q8—61no—
1263C2×Q8—61no—
1264C2×Q8—61no—
1265C2×Q8—242no—
1266C2×Q8C23×D311yescharacteristic
1267C2×Q8C23×D311yescharacteristic
1268C2×D4—21no—
1269C2×D4—21no—
1270C2×D4—31no—
1271C2×D4—31no—
1272C2×D4—31no—
1273C2×D4—31no—
1274C2×D4—31no—
1275C2×D4—62no—
1276C2×D4—61no—
1277C2×D4—61no—
1278C2×D4—61no—
1279C2×D4—61no—
1280C2×D4—61no—
1281C2×D4—61no—
1282C2×D4—62no—
1283C2×D4—61no—
1284C2×D4—61no—
1285C2×D4—61no—
1286C2×D4—61no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—242no—
1290C2×D4C23×D311yescharacteristic
1291C2×D4C23×D311yescharacteristic
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—31no—
1297C22×C4—31no—
1298C22×C4—61no—
1299C22×C4—61no—
1300C22×C4—61no—
1301C22×C4—61no—
1302C22×C4—61no—
1303C22×C4—61no—
1304C22×C4—61no—
1305C22×C4—61no—
1306C22×C4—61no—
1307C22×C4—61no—
1308C22×C4—61no—
1309C22×C4—61no—
1310C22×C4C23×D311yescharacteristic
1311Q16—41no—
1312SD16—41no—
1313SD16—41no—
1314SD16—62no—
1315SD16—121no—
1316D8—41no—
1317D8—62no—
1318D8—121no—
1319M16—41no—
1320M16—121no—
1321C2×C8—31no—
1322C2×C8—31no—
1323C2×C8—31no—
1324C2×C8—31no—
1325C2×C8—41no—
1326C2×C8—121no—
1327C2×C8—121no—
1328C2×C8—121no—
1329C2×C8C23×D311yescharacteristic
1330C2×C8C23×D311yescharacteristic
1331C2×C8C23×D311yescharacteristic
1332C2×C8C23×D311yescharacteristic
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—31no—
1340C4⋊C4—31no—
1341C4⋊C4—31no—
1342C4⋊C4—31no—
1343C4⋊C4—31no—
1344C4⋊C4—31no—
1345C4⋊C4—31no—
1346C4⋊C4—31no—
1347C4⋊C4—31no—
1348C4⋊C4—31no—
1349C4⋊C4—31no—
1350C4⋊C4—31no—
1351C4⋊C4—31no—
1352C4⋊C4—31no—
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⋊C4D3×D411yescharacteristic
1377C4⋊C4D3×D411yescharacteristic
1378C4⋊C4C23×D311yescharacteristic
1379C4⋊C4C23×D311yescharacteristic
1380C4⋊C4C23×D311yescharacteristic
1381C4⋊C4C23×D311yescharacteristic
1382C22⋊C4—21no—
1383C22⋊C4—21no—
1384C22⋊C4—21no—
1385C22⋊C4—21no—
1386C22⋊C4—21no—
1387C22⋊C4—21no—
1388C22⋊C4—21no—
1389C22⋊C4—21no—
1390C22⋊C4—21no—
1391C22⋊C4—21no—
1392C22⋊C4—31no—
1393C22⋊C4—31no—
1394C22⋊C4—31no—
1395C22⋊C4—31no—
1396C22⋊C4—31no—
1397C22⋊C4—31no—
1398C22⋊C4—31no—
1399C22⋊C4—31no—
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—
1413C22⋊C4—61no—
1414C22⋊C4—61no—
1415C22⋊C4—61no—
1416C22⋊C4—61no—
1417C22⋊C4—61no—
1418C22⋊C4—61no—
1419C22⋊C4—61no—
1420C22⋊C4—61no—
1421C22⋊C4—61no—
1422C22⋊C4—61no—
1423C22⋊C4—61no—
1424C22⋊C4—61no—
1425C22⋊C4—61no—
1426C22⋊C4D3×D411yescharacteristic
1427C22⋊C4D3×D411yescharacteristic
1428C42—21no—
1429C42—21no—
1430C42—31no—
1431C42—31no—
1432C42—31no—
1433C42—31no—
1434C42—61no—
1435C42—61no—
1436C42—61no—
1437C42—61no—
1438C42—61no—
1439C42—61no—
1440C42—61no—
1441C42—61no—
1442C42—61no—
1443C42—61no—
1444C42C23×D311yescharacteristic
1445C42C23×D311yescharacteristic
1446C22×C3—21no—
1447C22×C3—21no—
1448C22×C3—21no—
1449C22×C3—41no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3C23×D411yescharacteristic
1456C2×D3—21no—
1457C2×D3—21no—
1458C2×D3—21no—
1459C2×D3—21no—
1460C2×D3—21no—
1461C2×D3—21no—
1462C2×D3—22no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—162no—
1469C2×D3—162no—
1470C3×C4—21no—
1471C3×C4—21no—
1472C3×C4—21no—
1473C3×C4—21no—
1474C3×C4—21no—
1475C3×C4—41no—
1476C3×C4—41no—
1477C3×C4—41no—
1478C3×C4—41no—
1479C3×C4—41no—
1480C3×C4—41no—
1481C3×C4C2×2−1+411yescharacteristic
1482C3×C4#58511yescharacteristic
1483Dic3—21no—
1484Dic3—21no—
1485Dic3—21no—
1486Dic3—21no—
1487Dic3—21no—
1488Dic3—21no—
1489Dic3—41no—
1490Dic3—41no—
1491Dic3—41no—
1492Dic3—41no—
1493Dic3—41no—
1494Dic3—41no—
1495C23—21no—
1496C23—21no—
1497C23—31no—
1498C23—31no—
1499C23—61no—
1500C23—61no—
1501C23—122no—
1502C23—122no—
1503C23—241no—
1504C23—241no—
1505C23—241no—
1506C23—241no—
1507C23C2×D3×D411yescharacteristic
1508Q8—21no—
1509Q8—21no—
1510Q8—21no—
1511Q8—21no—
1512Q8—81no—
1513Q8—81no—
1514Q8—121no—
1515Q8—122no—
1516Q8—241no—
1517Q8—241no—
1518Q8—241no—
1519Q8—241no—
1520D4—21no—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—32no—
1525D4—61no—
1526D4—61no—
1527D4—61no—
1528D4—81no—
1529D4—81no—
1530D4—121no—
1531D4—122no—
1532D4—122no—
1533D4—121no—
1534D4—121no—
1535D4—122no—
1536D4—122no—
1537D4—241no—
1538D4—241no—
1539D4—241no—
1540D4—241no—
1541D4—241no—
1542D4—241no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—31no—
1552C2×C4—31no—
1553C2×C4—31no—
1554C2×C4—31no—
1555C2×C4—31no—
1556C2×C4—31no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—121no—
1570C2×C4—121no—
1571C2×C4—122no—
1572C2×C4—122no—
1573C2×C4—241no—
1574C2×C4—241no—
1575C2×C4—241no—
1576C2×C4—241no—
1577C2×C4—241no—
1578C2×C4—241no—
1579C2×C4—241no—
1580C2×C4—241no—
1581C2×C4—241no—
1582C2×C4—241no—
1583C2×C4C2×D3×D411yescharacteristic
1584C2×C4C2×D3×D411yescharacteristic
1585C2×C4C2×D3×D411yescharacteristic
1586C2×C4C2×D3×D411yescharacteristic
1587C2×C4C2×D3×D411yescharacteristic
1588C2×C4C24×D311yescharacteristic
1589C8—21no—
1590C8—21no—
1591C8—21no—
1592C8—21no—
1593C8—61no—
1594C8—61no—
1595C8—61no—
1596C8—61no—
1597C2×C3—41no—
1598C2×C3—81no—
1599C2×C3—81no—
1600C2×C3#348911yescharacteristic
1601C2×C3#358411yescharacteristic
1602C2×C3#358511yescharacteristic
1603D3—41no—
1604D3—41no—
1605D3—42no—
1606D3—81no—
1607C22—21no—
1608C22—21no—
1609C22—21no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—61no—
1617C22—61no—
1618C22—62no—
1619C22—61no—
1620C22—61no—
1621C22—61no—
1622C22—61no—
1623C22—121no—
1624C22—121no—
1625C22—121no—
1626C22—121no—
1627C22—121no—
1628C22—482no—
1629C22—482no—
1630C22C22×D3×D411yescharacteristic
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—61no—
1643C4—61no—
1644C4—61no—
1645C4—61no—
1646C4—61no—
1647C4—61no—
1648C4—121no—
1649C4—121no—
1650C4—121no—
1651C4—121no—
1652C4—121no—
1653C4—121no—
1654C4#596611yescharacteristic
1655C4D3×2−1+411yescharacteristic
1656C3#6215911yescharacteristic, complemented, Sylow
1657C2—41no—
1658C2—81no—
1659C2—81no—
1660C2—121no—
1661C2—121no—
1662C2—122no—
1663C2—241no—
1664C2#8638011yescharacteristic
1665C2#8720611yescharacteristic
1666C2#8720711yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3263C2
socleC22×C3C23×D4
hypercenter#3263D3
hypocenterC3#62159
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3263

Complements

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

NH ≅ G/Ntype
1. #86554C2semidirect
2. #86541C2semidirect
3. C3×#3263C2semidirect
4. #83460C2semidirect
5. #83454C2semidirect
6. #81082C2semidirect
7. #81066C2semidirect
8. #81062C2semidirect
9. #81055C2semidirect
10. #81040C2semidirect
11. #81031C2semidirect
12. #81020C2semidirect
13. #81010C2semidirect
14. #80920C2semidirect
15. #80914C2semidirect
16. #80880C2semidirect
17. #80876C2semidirect
18. #80685C2semidirect
19. #80681C2semidirect
20. #80654C2semidirect
21. #80650C2semidirect
22. #80625C2semidirect
23. #80615C2semidirect
24. #80584C2semidirect
25. #80570C2semidirect
26. #80563C2semidirect
27. #80519C2semidirect
28. #80512C2semidirect
29. #80509C2semidirect
30. #79090C2semidirect
31. #79082C2semidirect
34. C3×#542C22semidirect
36. #5729C22semidirect
37. #5728C22semidirect
44. #5682C22semidirect
46. #5680C22semidirect
58. #5641C22semidirect
63. #5618C22semidirect
68. #5581C22semidirect
70. #5570C22semidirect
71. #5563C22semidirect
74. #5539C22semidirect
77. #5519C22semidirect
78. C3×#476C22semidirect
79. C3×#476C22semidirect
80. C3×#475C22semidirect
81. C3×#475C22semidirect
82. C3×#470C22semidirect
85. C3×#465C22semidirect
86. C3×#464C22semidirect
87. C3×#464C22semidirect
88. C3×#463C22semidirect
89. C3×#463C22semidirect
90. C3×#424C22semidirect
91. #5188C22semidirect
93. #5185C22semidirect
94. #5184C22semidirect
95. #5174C22semidirect
97. #5171C22semidirect
99. #5165C22semidirect
100. #5164C22semidirect
102. Dic3×SD16C22semidirect
103. #5157C22semidirect
105. #5152C22semidirect
109. #5127C22semidirect
110. #5121C22semidirect
113. C8×#67C22semidirect
114. #5106C22semidirect
116. #5084C22semidirect
117. #5081C22semidirect
118. #5078C22semidirect
120. #5057C22semidirect
121. #5056C22semidirect
122. #5055C22semidirect
124. #5045C22semidirect
125. #5045C22semidirect
126. #5044C22semidirect
129. #5035C22semidirect
131. #5026C22semidirect
133. #5022C22semidirect
134. #5021C22semidirect
136. C4×#213C22semidirect
137. #5009C22semidirect
138. #5007C22semidirect
139. #5000C22semidirect
145. #4866C22semidirect
146. #4866C22semidirect
148. #4861C22semidirect
149. #4860C22semidirect
150. #4860C22semidirect
151. #4860C22semidirect
152. #4856C22semidirect
153. #4856C22semidirect
154. #4856C22semidirect
155. #4855C22semidirect
158. #4847C22semidirect
159. #4847C22semidirect
161. #4846C22semidirect
163. #4842C22semidirect
164. #4840C22semidirect
165. #4839C22semidirect
166. #4836C22semidirect
167. #4835C22semidirect
168. #4834C22semidirect
169. D3×C4⋊C8C22semidirect
170. #4831C22semidirect
171. #4828C22semidirect
174. #4815C22semidirect
175. #4814C22semidirect
176. #4814C22semidirect
178. #4807C22semidirect
179. #4805C22semidirect
182. #4800C22semidirect
183. #4799C22semidirect
184. #4799C22semidirect
185. #4794C22semidirect
186. #4793C22semidirect
187. #4793C22semidirect
189. #4784C22semidirect
190. #4784C22semidirect
191. #4779C22semidirect
192. #4779C22semidirect
194. #4775C22semidirect
199. #4763C22semidirect
200. #4761C22semidirect
201. #4759C22semidirect
202. #4759C22semidirect
222. #3263D3semidirect
541. #542C2×D3semidirect
605. #476C2×D3semidirect
606. #476C2×D3semidirect
607. #475C2×D3semidirect
608. #475C2×D3semidirect
615. #470C2×D3semidirect
626. #465C2×D3semidirect
628. #464C2×D3semidirect
629. #464C2×D3semidirect
633. #463C2×D3semidirect
634. #463C2×D3semidirect
673. #424C2×D3semidirect
1656. C3#62159semidirect

Maximal subgroups

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

subgroupindex
#865542
#865412
C3×#32632
#834602
#834542
#810822
#810662
#810622
#810552
#810402
#810312
#810202
#810102
#809202
#809142
#808802
#808762
#806852
#806812
#806542
#806502
#806252
#806152
#805842
#805702
#805632
#805192
#805122
#805092
#790902
#790822
#621593