Finite Group Databasebeta

← #11664318

Subgroups — #11664318

Order 768.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86526C211yesmaximal, characteristic, complemented
2#85887C211yesmaximal, characteristic, complemented
3C3×#3125C211yesmaximal, characteristic, complemented
4#83467C211yesmaximal, characteristic, complemented
5#82576C211yesmaximal, characteristic, complemented
6#81430C211yesmaximal, characteristic, complemented
7#81414C211yesmaximal, characteristic, complemented
8#81328C211yesmaximal, characteristic, complemented
9#81308C211yesmaximal, characteristic, complemented
10#81061C211yesmaximal, characteristic, complemented
11#81049C211yesmaximal, characteristic, complemented
12D3×#475C211yesmaximal, characteristic, complemented
13#81000C211yesmaximal, characteristic, complemented
14#80598C211yesmaximal, characteristic, complemented
15#80573C211yesmaximal, characteristic, complemented
16#80533C211yesmaximal, characteristic, complemented
17#80511C211yesmaximal, characteristic, complemented
18#80232C211yesmaximal, characteristic, complemented
19#80213C211yesmaximal, characteristic, complemented
20#80088C211yesmaximal, characteristic, complemented
21#80071C211yesmaximal, characteristic, complemented
22#79872C211yesmaximal, characteristic, complemented
23#79868C211yesmaximal, characteristic, complemented
24#79833C211yesmaximal, characteristic, complemented
25#79830C211yesmaximal, characteristic, complemented
26#79655C211yesmaximal, characteristic, complemented
27#79653C211yesmaximal, characteristic, complemented
28#79650C211yesmaximal, characteristic, complemented
29#79648C211yesmaximal, characteristic, complemented
30#79394C211yesmaximal, characteristic, complemented
31#79375C211yesmaximal, characteristic, complemented
32#60599—31nomaximal, Sylow
33C2×#1010C2211yescharacteristic
34C3×#542C2211yescharacteristic
35C3×#520C2211yescharacteristic
36Dic3×#41C2211yescharacteristic
37C2×#918C2211yescharacteristic
38C2×#916C2211yescharacteristic
39C2×#915C2211yescharacteristic
40C2×#912C2211yescharacteristic
41#5733C2211yescharacteristic
42D3×C4⋊Q8C2211yescharacteristic
43#5709—21no—
44#5702—21no—
45#5682C2211yescharacteristic
46#5677—21no—
47#5670—21no—
48#5668C2211yescharacteristic
49#5661—21no—
50#5655—21no—
51#5636—21no—
52#5633—21no—
53#5629C2211yescharacteristic
54#5622C2211yescharacteristic
55#5608C2211yescharacteristic
56#5596C2211yescharacteristic
57#5578C2211yescharacteristic
58#5574C2211yescharacteristic
59#5572C2211yescharacteristic
60#5572C2211yescharacteristic
61C4×D3×Q8C2211yescharacteristic
62C4×D3×Q8C2211yescharacteristic
63#5548C2211yescharacteristic
64#5546—21no—
65#5546—21no—
66#5546C2211yescharacteristic
67#5546C2211yescharacteristic
68#5546C2211yescharacteristic
69C4×#237—21no—
70C4×#237—21no—
71C4×#237C2211yescharacteristic
72C4×#237C2211yescharacteristic
73#5534C2211yescharacteristic
74#5522—21no—
75#5522C2211yescharacteristic
76#5516—21no—
77#5516C2211yescharacteristic
78#5504—21no—
79#5504C2211yescharacteristic
80C2×#887—21no—
81C2×#887C2211yescharacteristic
82C3×#483C2211yescharacteristic
83C3×#481C2211yescharacteristic
84C3×#476C2211yescharacteristic
85C3×#475C2211yescharacteristic
86C3×#464C2211yescharacteristic
87C3×#463C2211yescharacteristic
88C3×#452C2211yescharacteristic
89C3×#449C2211yescharacteristic
90C3×#442C2211yescharacteristic
91C3×#441C2211yescharacteristic
92C3×C4×SD16C2211yescharacteristic
93C3×C4×SD16C2211yescharacteristic
94C3×#433C2211yescharacteristic
95#5239C2211yescharacteristic
96#5238C2211yescharacteristic
97#5186C2211yescharacteristic
98#5182C2211yescharacteristic
99Dic3×Q16C2211yescharacteristic
100#5173C2211yescharacteristic
101#5170C2211yescharacteristic
102#5164C2211yescharacteristic
103#5163C2211yescharacteristic
104#5162C2211yescharacteristic
105Dic3×SD16C2211yescharacteristic
106#5158C2211yescharacteristic
107#5152C2211yescharacteristic
108#5150C2211yescharacteristic
109#5094C2211yescharacteristic
110#5091C2211yescharacteristic
111#5054C2211yescharacteristic
112#5054C2211yescharacteristic
113#5050C2211yescharacteristic
114#5045C2211yescharacteristic
115#5040C2211yescharacteristic
116#5035C2211yescharacteristic
117#5030C2211yescharacteristic
118#5030C2211yescharacteristic
119C4×#216C2211yescharacteristic
120#5028C2211yescharacteristic
121C4×#215C2211yescharacteristic
122#5020C2211yescharacteristic
123#5018C2211yescharacteristic
124C4×#214C2211yescharacteristic
125C4×#214C2211yescharacteristic
126#5016C2211yescharacteristic
127#5014C2211yescharacteristic
128#5008C2211yescharacteristic
129#5000C2211yescharacteristic
130#4971C2211yescharacteristic
131#4968C2211yescharacteristic
132#4868C2211yescharacteristic
133#4866C2211yescharacteristic
134#4863C2211yescharacteristic
135#4862C2211yescharacteristic
136#4861C2211yescharacteristic
137#4861C2211yescharacteristic
138D3×#106C2211yescharacteristic
139D3×#106C2211yescharacteristic
140#4854C2211yescharacteristic
141#4854C2211yescharacteristic
142#4854C2211yescharacteristic
143#4854C2211yescharacteristic
144#4853C2211yescharacteristic
145#4853C2211yescharacteristic
146#4852C2211yescharacteristic
147#4852C2211yescharacteristic
148#4851C2211yescharacteristic
149#4850C2211yescharacteristic
150#4845C2211yescharacteristic
151#4845C2211yescharacteristic
152#4840C2211yescharacteristic
153#4840C2211yescharacteristic
154#4837C2211yescharacteristic
155D3×C4⋊C8C2211yescharacteristic
156#4817C2211yescharacteristic
157#4814C2211yescharacteristic
158#4809C2211yescharacteristic
159#4806C2211yescharacteristic
160#4805C2211yescharacteristic
161#4804C2211yescharacteristic
162#4803C2211yescharacteristic
163D3×#103C2211yescharacteristic
164D3×#103C2211yescharacteristic
165#4795C2211yescharacteristic
166#4795C2211yescharacteristic
167#4791C2211yescharacteristic
168#4791C2211yescharacteristic
169#4790C2211yescharacteristic
170#4789C2211yescharacteristic
171#4789C2211yescharacteristic
172#4785C2211yescharacteristic
173#4784C2211yescharacteristic
174#4783C2211yescharacteristic
175#4781C2211yescharacteristic
176#4777C2211yescharacteristic
177#4772C2211yescharacteristic
178#4771C2211yescharacteristic
179#4771C2211yescharacteristic
180#4771C2211yescharacteristic
181#4762C2211yescharacteristic
182#4762C2211yescharacteristic
183#4759C2211yescharacteristic
184#4759C2211yescharacteristic
185#4758C2211yescharacteristic
186#4758C2211yescharacteristic
187#4758C2211yescharacteristic
188#4739C2211yescharacteristic
189#4738C2211yescharacteristic
190#4737C2211yescharacteristic
191#4727C2211yescharacteristic
192#4727C2211yescharacteristic
193#4723C2211yescharacteristic
194#4719C2211yescharacteristic
195#4718C2211yescharacteristic
196#4716C2211yescharacteristic
197#4710C2211yescharacteristic
198#4708C2211yescharacteristic
199#4705C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
201C4×#204C2211yescharacteristic
202#4689C2211yescharacteristic
203#4685C2211yescharacteristic
204#3511—31no—
205C4×2−1+4—31no—
206#3125—31no—
207#3125—31no—
208#3125—31no—
209#3125D311yescharacteristic, complemented
210#3121—31no—
211#3121—31no—
212#3121—31no—
213#3121—31no—
214#3115—31no—
215#3115—31no—
216#3113—31no—
217#3113—31no—
218#3107—31no—
219#3107—31no—
220#3103—31no—
221#3103—31no—
222#3099—31no—
223#3099—31no—
224#3079—31no—
225C2×#475—31no—
226#3037—31no—
227#3035—31no—
228#3013—31no—
229#3013—31no—
230#2952—31no—
231#2952—31no—
232#2947—31no—
233#2947—31no—
234#2925—31no—
235C2×C3×#41C2311yescharacteristic
236#1010—24no—
237#1010—24no—
238C2×#239C2311yescharacteristic
239C2×D3×Q8—21no—
240C2×D3×Q8C2311yescharacteristic
241C2×D3×Q8C2311yescharacteristic
242C2×#237—21no—
243C2×#237—21no—
244C2×#237—21no—
245C2×#237C2311yescharacteristic
246C2×#237C2311yescharacteristic
247C2×#237C2311yescharacteristic
248C2×#235—21no—
249C2×#235—21no—
250C2×#235C2311yescharacteristic
251C22×Dic6—21no—
252C22×Dic6C2311yescharacteristic
253C2×C3×Q16C2311yescharacteristic
254C2×C3×SD16C2311yescharacteristic
255C2×C3×SD16C2311yescharacteristic
256C2×C3×D8C2311yescharacteristic
257C3×C4⋊Q8C2311yescharacteristic
258C3×#126—21no—
259C3×#124—21no—
260C3×#124C2311yescharacteristic
261C3×#123—21no—
262C3×C22⋊Q8—21no—
263C3×C22⋊Q8C2311yescharacteristic
264C3×#121C2311yescharacteristic
265C3×C4×Q8C2311yescharacteristic
266C3×C4×Q8C2311yescharacteristic
267C3×C4×Q8C2311yescharacteristic
268C3×C4×D4—21no—
269C3×C4×D4—21no—
270C3×C4×D4C2311yescharacteristic
271C3×C4×D4C2311yescharacteristic
272C3×C4×D4C2311yescharacteristic
273C3×#117—21no—
274C3×#117C2311yescharacteristic
275C2×C3×C4⋊C4—21no—
276C2×C3×C4⋊C4C2311yescharacteristic
277#947—21no—
278#946—21no—
279#946C2311yescharacteristic
280Q8×Dic3C2311yescharacteristic
281Q8×Dic3C2311yescharacteristic
282Q8×Dic3C2311yescharacteristic
283#944—21no—
284#944C2311yescharacteristic
285C2×#216C2311yescharacteristic
286C2×#216C2311yescharacteristic
287C2×#216C2311yescharacteristic
288C2×#215C2311yescharacteristic
289#940C2311yescharacteristic
290#939—21no—
291#939—21no—
292#938—21no—
293#938C2311yescharacteristic
294D4×Dic3—21no—
295D4×Dic3—21no—
296D4×Dic3C2311yescharacteristic
297D4×Dic3C2311yescharacteristic
298D4×Dic3C2311yescharacteristic
299C2×#214C2311yescharacteristic
300C2×#214C2311yescharacteristic
301C2×#214C2311yescharacteristic
302C2×#213C2311yescharacteristic
303#930C2311yescharacteristic
304C4×#67—21no—
305C4×#67—21no—
306C4×#67—21no—
307C4×#67—21no—
308C4×#67—21no—
309C4×#67—21no—
310C4×#67—21no—
311C4×#67—21no—
312#926—21no—
313#926C2311yescharacteristic
314#924C2311yescharacteristic
315C2×Dic3⋊C4—21no—
316C2×Dic3⋊C4—21no—
317C2×Dic3⋊C4—21no—
318C2×Dic3⋊C4—21no—
319C2×C4×Dic3—21no—
320C2×C4×Dic3—21no—
321C2×C4×Dic3—21no—
322C2×C4×Dic3—21no—
323C2×C4×Dic3C2311yescharacteristic
324#918—24no—
325#916—24no—
326#915—24no—
327#912—24no—
328C2×Dic12C2311yescharacteristic
329C2×Dic12C2311yescharacteristic
330C2×#204C2311yescharacteristic
331C2×#204C2311yescharacteristic
332C2×ΓL(1,𝔽25)C2311yescharacteristic
333C2×ΓL(1,𝔽25)C2311yescharacteristic
334C2×D3×C8C2311yescharacteristic
335C2×D3×C8C2311yescharacteristic
336#898—21no—
337#898—21no—
338#897C2311yescharacteristic
339#896—21no—
340#896—21no—
341#896—21no—
342#895—21no—
343#895C2311yescharacteristic
344#894—21no—
345#893—21no—
346#893—21no—
347#893D411yescharacteristic
348#893D411yescharacteristic
349#893C2311yescharacteristic
350#892—21no—
351#892—21no—
352#892C2311yescharacteristic
353#892C2311yescharacteristic
354D3×C4⋊C4—21no—
355D3×C4⋊C4—21no—
356D3×C4⋊C4—21no—
357D3×C4⋊C4—21no—
358D3×C4⋊C4C2311yescharacteristic
359D3×C4⋊C4C2311yescharacteristic
360D3×C4⋊C4C2311yescharacteristic
361D3×C4⋊C4C2311yescharacteristic
362#889—21no—
363#889—21no—
364#888—21no—
365#888C2311yescharacteristic
366#888C2311yescharacteristic
367#887—21no—
368#887—21no—
369#887—21no—
370#887—21no—
371#887—21no—
372#887—21no—
373#887—21no—
374#887—21no—
375#887—21no—
376#887—21no—
377#887D411yescharacteristic
378#887D411yescharacteristic
379#887C2311yescharacteristic
380#887C2311yescharacteristic
381#887C2311yescharacteristic
382#887C2311yescharacteristic
383#887C2311yescharacteristic
384#886—21no—
385#885—21no—
386#885—21no—
387#885—21no—
388#885—21no—
389#884—21no—
390#884—21no—
391#884—21no—
392#884—21no—
393#884—21no—
394#884—21no—
395#883—21no—
396#67⋊C4—21no—
397#67⋊C4—21no—
398#67⋊C4—21no—
399#67⋊C4—21no—
400#67⋊C4—21no—
401#67⋊C4—21no—
402#67⋊C4—21no—
403#67⋊C4—21no—
404#67⋊C4D411yescharacteristic
405#67⋊C4D411yescharacteristic
406#67⋊C4D411yescharacteristic
407#67⋊C4D411yescharacteristic
408#879—21no—
409#878—21no—
410#878—21no—
411#878—21no—
412#877—21no—
413#877—21no—
414#877—21no—
415#877—21no—
416#877—21no—
417#877—21no—
418#877—21no—
419#877—21no—
420#875C2311yescharacteristic
421C4×D12—21no—
422C4×D12C2311yescharacteristic
423#872—21no—
424#872—21no—
425#872—21no—
426#872—21no—
427#872C2311yescharacteristic
428#872C2311yescharacteristic
429C42×D3—21no—
430C42×D3—21no—
431C42×D3C2311yescharacteristic
432C42×D3C2311yescharacteristic
433#869C2311yescharacteristic
434C4×Dic6—21no—
435C4×Dic6—21no—
436C4×Dic6—21no—
437C4×Dic6—21no—
438C4×Dic6—21no—
439C4×Dic6C2311yescharacteristic
440C4×Dic6C2311yescharacteristic
441C4×Dic6C2311yescharacteristic
442C4×Dic6C2311yescharacteristic
443C4×Dic6C2311yescharacteristic
444C3×#106C2311yescharacteristic
445C3×#106C2311yescharacteristic
446C3×#106C2311yescharacteristic
447C3×#106C2311yescharacteristic
448C3×C4⋊C8C2311yescharacteristic
449C3×C4⋊C8C2311yescharacteristic
450C3×#103C2311yescharacteristic
451C3×#103C2311yescharacteristic
452C3×#103C2311yescharacteristic
453C3×#103C2311yescharacteristic
454C3×#102C2311yescharacteristic
455C3×#102C2311yescharacteristic
456C3×#102C2311yescharacteristic
457C3×#102C2311yescharacteristic
458C3×C22⋊C8C2311yescharacteristic
459C3×C22⋊C8C2311yescharacteristic
460C3×#97C2311yescharacteristic
461C3×C4×C8C2311yescharacteristic
462#835C2311yescharacteristic
463#835C2311yescharacteristic
464#835C2311yescharacteristic
465#835C2311yescharacteristic
466#832C2311yescharacteristic
467#832C2311yescharacteristic
468#832C2311yescharacteristic
469#832C2311yescharacteristic
470#830C2311yescharacteristic
471#830C2311yescharacteristic
472#821C2311yescharacteristic
473#821C2311yescharacteristic
474(C2×D3)⋊C8C2311yescharacteristic
475(C2×D3)⋊C8C2311yescharacteristic
476(C2×D3)⋊C8C2311yescharacteristic
477(C2×D3)⋊C8C2311yescharacteristic
478#818C2311yescharacteristic
479#818C2311yescharacteristic
480#817C2311yescharacteristic
481#817C2311yescharacteristic
482#816C2311yescharacteristic
483#816C2311yescharacteristic
484#816C2311yescharacteristic
485#816C2311yescharacteristic
486#816C2311yescharacteristic
487#816C2311yescharacteristic
488#815C2311yescharacteristic
489#815C2311yescharacteristic
490Dic3⋊C8C2311yescharacteristic
491Dic3⋊C8C2311yescharacteristic
492Dic3⋊C8C2311yescharacteristic
493Dic3⋊C8C2311yescharacteristic
494C8×Dic3C2311yescharacteristic
495C8×Dic3C2311yescharacteristic
496#810C2311yescharacteristic
497#810C2311yescharacteristic
498#810C2311yescharacteristic
499#810C2311yescharacteristic
500#810C2311yescharacteristic
501#810C2311yescharacteristic
502#809C2311yescharacteristic
503#809C2311yescharacteristic
504#808C2311yescharacteristic
505#808C2311yescharacteristic
506#808C2311yescharacteristic
507#808C2311yescharacteristic
508#808C2311yescharacteristic
509#808C2311yescharacteristic
510#807C2311yescharacteristic
511#807C2311yescharacteristic
512C4⋊(C3⋊C8)C2311yescharacteristic
513C4⋊(C3⋊C8)C2311yescharacteristic
514#803C2311yescharacteristic
515C4×C3⋊C8C2311yescharacteristic
516C2×2−1+4—31no—
517C2×#137—31no—
518C2×#137—31no—
519C2×#135—31no—
520C2×#135—31no—
521#556—61no—
522#555—61no—
523#554—61no—
524#553—61no—
525#553—61no—
526#548—61no—
527#548—61no—
528#547—61no—
529#542—31no—
530#542—31no—
531#542—31no—
532#542C2×D311yescharacteristic
533#537—31no—
534#537—31no—
535#533—31no—
536#533—31no—
537#532—31no—
538#532—31no—
539#532—31no—
540C2×C4⋊Q8—31no—
541#520—31no—
542#520—31no—
543#520—31no—
544#520—31no—
545#520—31no—
546#520—61no—
547#520—61no—
548#520—61no—
549#520C2×D311yescharacteristic
550#519—31no—
551#519—31no—
552#519—31no—
553#519—61no—
554C4×#41—31no—
555C4×#41—31no—
556C4×#41—31no—
557C4×#41—31no—
558C4×#41—61no—
559C4×#41—61no—
560C4×#41—61no—
561C2×C4×Q8—31no—
562C2×C4×Q8—31no—
563C2×C4×Q8—31no—
564C2×C4×Q8—61no—
565#485—31no—
566#485—31no—
567#485—31no—
568#485—31no—
569#483—31no—
570#483—31no—
571#483—31no—
572#483C2×D311yescharacteristic
573#482—31no—
574#482—31no—
575#482—31no—
576#482—31no—
577#481—31no—
578#481—31no—
579#481—31no—
580#481C2×D311yescharacteristic
581#477—31no—
582#477—31no—
583#476—31no—
584#476C2×D311yescharacteristic
585#475—31no—
586#475—31no—
587#475—31no—
588#475—31no—
589#475—31no—
590#475—31no—
591#475—31no—
592#475—31no—
593#475—31no—
594#475C2×D311yescharacteristic
595#474—31no—
596#474—31no—
597#464—31no—
598#464—31no—
599#464—31no—
600#464—31no—
601#464—31no—
602#464C2×D311yescharacteristic
603#463—31no—
604#463C2×D311yescharacteristic
605#462—31no—
606#462—31no—
607#462—31no—
608#461—31no—
609#460—31no—
610#460—31no—
611#460—31no—
612#459—31no—
613#452—31no—
614#452—31no—
615#452—31no—
616#452C2×D311yescharacteristic
617#451—31no—
618#451—31no—
619#451—31no—
620#451—31no—
621#449—31no—
622#449—31no—
623#449—31no—
624#449C2×D311yescharacteristic
625#448—31no—
626#448—31no—
627#448—31no—
628#448—31no—
629#442—31no—
630#442—31no—
631#442—31no—
632#442C2×D311yescharacteristic
633#441—31no—
634#441—31no—
635#441—31no—
636#441—31no—
637#441—31no—
638#441—31no—
639#441—31no—
640#441C2×D311yescharacteristic
641#440—31no—
642#440—31no—
643#440—31no—
644#440—31no—
645C4×Q16—31no—
646C4×Q16—31no—
647C4×Q16—31no—
648C4×Q16—31no—
649C4×SD16—31no—
650C4×SD16—31no—
651C4×SD16—31no—
652C4×SD16—31no—
653C4×SD16—31no—
654C4×SD16—31no—
655C4×SD16—31no—
656C4×SD16—31no—
657C4×SD16—31no—
658C4×SD16—31no—
659C4×SD16C2×D311yescharacteristic
660C4×SD16C2×D311yescharacteristic
661#433—31no—
662#433—31no—
663#433—31no—
664#433C2×D311yescharacteristic
665#432—31no—
666#432—31no—
667#431—31no—
668#431—31no—
669#428—31no—
670#428—31no—
671C2×#106—31no—
672C2×#106—31no—
673#423—31no—
674C2×C4⋊C8—31no—
675#417—31no—
676#417—31no—
677#417—31no—
678#417—31no—
679#416—31no—
680#416—31no—
681C2×#103—31no—
682C2×#103—31no—
683#408—31no—
684#408—31no—
685#405—31no—
686#405—31no—
687C3×#41—22no—
688C3×#41—22no—
689C2×C3×Q8—21no—
690C2×C3×Q8C2411yescharacteristic
691C2×C3×Q8C2411yescharacteristic
692C2×C3×D4—21no—
693C2×C3×D4—21no—
694C2×C3×D4C2411yescharacteristic
695C2×C3×D4C2411yescharacteristic
696C22×C3×C4—21no—
697C22×C3×C4—21no—
698C22×C3×C4—21no—
699C22×C3×C4—21no—
700C22×C3×C4—21no—
701C22×C3×C4C2411yescharacteristic
702C2×#67—21no—
703C2×#67—21no—
704C2×#67—21no—
705C2×#67—21no—
706C2×#67—21no—
707C2×#67—21no—
708C2×#67—21no—
709C2×#67C2×D411yescharacteristic
710C2×#67C2×D411yescharacteristic
711C22×Dic3—21no—
712C22×Dic3—21no—
713C22×Dic3—21no—
714C22×Dic3—21no—
715C22×Dic3—21no—
716C22×Dic3—21no—
717C22×Dic3—21no—
718C22×Dic3C2×D411yescharacteristic
719C22×Dic3C2×D411yescharacteristic
720#239—22no—
721#239—22no—
722D3×Q8—22no—
723D3×Q8—22no—
724D3×Q8—22no—
725D3×Q8—82no—
726D3×Q8#4114yescomplemented
727#237—28no—
728#237—28no—
729#237—22no—
730#237—22no—
731#237—22no—
732#237—22no—
733#237—22no—
734#237—82no—
735#237#4114yescomplemented
736#235—28no—
737#235—22no—
738#235—22no—
739#235—82no—
740C2×D12—21no—
741C2×D12—21no—
742C2×D12C2×D411yescharacteristic
743C2×D12C2411yescharacteristic
744C2×C4×D3—21no—
745C2×C4×D3—21no—
746C2×C4×D3—21no—
747C2×C4×D3—21no—
748C2×C4×D3—21no—
749C2×C4×D3—21no—
750C2×C4×D3—21no—
751C2×C4×D3—21no—
752C2×C4×D3—21no—
753C2×C4×D3C2×D411yescharacteristic
754C2×C4×D3C2×D411yescharacteristic
755C2×C4×D3C2×D411yescharacteristic
756C2×C4×D3C2×D411yescharacteristic
757C2×C4×D3C2411yescharacteristic
758C2×C4×D3C2411yescharacteristic
759C2×Dic6—28no—
760C2×Dic6—21no—
761C2×Dic6—21no—
762C2×Dic6—21no—
763C2×Dic6—22no—
764C2×Dic6—22no—
765C2×Dic6—21no—
766C2×Dic6—21no—
767C2×Dic6—21no—
768C2×Dic6C2×D411yescharacteristic
769C2×Dic6C2411yescharacteristic
770C2×Dic6C2411yescharacteristic
771C2×Dic6C2411yescharacteristic
772C3×Q16—22no—
773C3×SD16—22no—
774C3×SD16—22no—
775C3×D8—22no—
776C2×C3×C8C2411yescharacteristic
777C2×C3×C8C2411yescharacteristic
778C2×C3×C8C2411yescharacteristic
779C2×C3×C8C2411yescharacteristic
780C3×C4⋊C4—21no—
781C3×C4⋊C4—21no—
782C3×C4⋊C4—21no—
783C3×C4⋊C4—21no—
784C3×C4⋊C4—21no—
785C3×C4⋊C4—21no—
786C3×C4⋊C4C2×D411yescharacteristic
787C3×C4⋊C4C2×D411yescharacteristic
788C3×C4⋊C4C2411yescharacteristic
789C3×C4⋊C4C2411yescharacteristic
790C3×C4⋊C4C2411yescharacteristic
791C3×C4⋊C4C2411yescharacteristic
792C3×C22⋊C4—21no—
793C3×C22⋊C4—21no—
794C3×C22⋊C4—21no—
795C3×C22⋊C4—21no—
796C3×C22⋊C4—21no—
797C3×C22⋊C4—21no—
798C3×C22⋊C4—21no—
799C3×C22⋊C4C2×D411yescharacteristic
800C3×C22⋊C4C2×D411yescharacteristic
801C3×C42—21no—
802C3×C42—21no—
803C3×C42—21no—
804C3×C42C2411yescharacteristic
805C3×C42C2411yescharacteristic
806#217—21no—
807#217—21no—
808#217—21no—
809#217—21no—
810#217—21no—
811#217—21no—
812#216—22no—
813#216—22no—
814#216—22no—
815#215—22no—
816#214—22no—
817#214—22no—
818#214—22no—
819#213—22no—
820(C2×D3)⋊C4—21no—
821(C2×D3)⋊C4—21no—
822(C2×D3)⋊C4—21no—
823(C2×D3)⋊C4—21no—
824(C2×D3)⋊C4—21no—
825(C2×D3)⋊C4—21no—
826(C2×D3)⋊C4—21no—
827(C2×D3)⋊C4—21no—
828(C2×D3)⋊C4—21no—
829(C2×D3)⋊C4—21no—
830(C2×D3)⋊C4C2×D411yescharacteristic
831(C2×D3)⋊C4C2×D411yescharacteristic
832(C2×D3)⋊C4C2×D411yescharacteristic
833(C2×D3)⋊C4C2×D411yescharacteristic
834C4⋊Dic3—21no—
835C4⋊Dic3—21no—
836C4⋊Dic3—21no—
837C4⋊Dic3—21no—
838C4⋊Dic3—21no—
839C4⋊Dic3C2411yescharacteristic
840C4⋊Dic3C2411yescharacteristic
841C4⋊Dic3C2411yescharacteristic
842C4⋊Dic3C2411yescharacteristic
843Dic3⋊C4—21no—
844Dic3⋊C4—21no—
845Dic3⋊C4—21no—
846Dic3⋊C4—21no—
847Dic3⋊C4—21no—
848Dic3⋊C4—21no—
849Dic3⋊C4—21no—
850Dic3⋊C4—21no—
851Dic3⋊C4—21no—
852Dic3⋊C4—21no—
853Dic3⋊C4—21no—
854Dic3⋊C4—21no—
855Dic3⋊C4—21no—
856Dic3⋊C4—21no—
857Dic3⋊C4—21no—
858Dic3⋊C4—21no—
859Dic3⋊C4—21no—
860Dic3⋊C4—21no—
861Dic3⋊C4—21no—
862Dic3⋊C4—21no—
863Dic3⋊C4C2×D411yescharacteristic
864Dic3⋊C4C2×D411yescharacteristic
865Dic3⋊C4C2×D411yescharacteristic
866Dic3⋊C4C2×D411yescharacteristic
867C4×Dic3—21no—
868C4×Dic3—21no—
869C4×Dic3—21no—
870C4×Dic3—21no—
871C4×Dic3—21no—
872C4×Dic3—21no—
873C4×Dic3—21no—
874C4×Dic3—21no—
875C4×Dic3—21no—
876C4×Dic3—21no—
877C4×Dic3—21no—
878C4×Dic3—21no—
879C4×Dic3—21no—
880C4×Dic3—21no—
881C4×Dic3—21no—
882C4×Dic3—21no—
883C4×Dic3C2×D411yescharacteristic
884C4×Dic3C2×D411yescharacteristic
885C4×Dic3C2×D411yescharacteristic
886C4×Dic3C2×D411yescharacteristic
887C4×Dic3C2×D411yescharacteristic
888C4×Dic3C2×D411yescharacteristic
889C4×Dic3C2411yescharacteristic
890C4×Dic3C2411yescharacteristic
891C2×C3⋊C8C2411yescharacteristic
892C2×C3⋊C8C2411yescharacteristic
893C2×C3⋊C8C2411yescharacteristic
894C2×C3⋊C8C2411yescharacteristic
895Dic12—22no—
896Dic12—22no—
897#204—22no—
898#204—22no—
899ΓL(1,𝔽25)—22no—
900ΓL(1,𝔽25)—22no—
901D3×C8—22no—
902D3×C8—22no—
9032−1+4—64no—
9042−1+4—64no—
905C2×#41—31no—
906C2×#41—31no—
907C2×#41—31no—
908C2×#41—31no—
909C2×#41—31no—
910C2×#41—61no—
911C2×#41—61no—
912C2×#41—61no—
913C2×#41—61no—
914C2×#41—61no—
915C2×#41C22×D311yescharacteristic
916C22×Q8—31no—
917C22×Q8—31no—
918C22×Q8—31no—
919C22×Q8—61no—
920C22×Q8—61no—
921#137—64no—
922#137—64no—
923#135—64no—
924#135—64no—
925C2×Q16—31no—
926C2×Q16—31no—
927C2×Q16—31no—
928C2×Q16—31no—
929C2×Q16—31no—
930C2×Q16C22×D311yescharacteristic
931C2×SD16—31no—
932C2×SD16—31no—
933C2×SD16—31no—
934C2×SD16—31no—
935C2×SD16—31no—
936C2×SD16—31no—
937C2×SD16C22×D311yescharacteristic
938C2×SD16C22×D311yescharacteristic
939C2×D8—31no—
940C2×D8C22×D311yescharacteristic
941C2×M16—31no—
942C2×M16—31no—
943C22×C8—31no—
944C22×C8—31no—
945C4⋊Q8—31no—
946C4⋊Q8—31no—
947C4⋊Q8—31no—
948C4⋊Q8—31no—
949C4⋊Q8—61no—
950C4⋊Q8—61no—
951C4⋊Q8C22×D311yescharacteristic
952#127—31no—
953#126—21no—
954#126—61no—
955#126—61no—
956#126—61no—
957#125—61no—
958#125—61no—
959#124—21no—
960#124—31no—
961#124—61no—
962#124—61no—
963#124—61no—
964#124—61no—
965#124—61no—
966#124C22×D311yescharacteristic
967#123—21no—
968#123—61no—
969#123—61no—
970#123—61no—
971C22⋊Q8—21no—
972C22⋊Q8—31no—
973C22⋊Q8—31no—
974C22⋊Q8—31no—
975C22⋊Q8—61no—
976C22⋊Q8—61no—
977C22⋊Q8—61no—
978C22⋊Q8—61no—
979C22⋊Q8—61no—
980C22⋊Q8—61no—
981C22⋊Q8—61no—
982C22⋊Q8C22×D311yescharacteristic
983#121—31no—
984#121—31no—
985#121—31no—
986#121—61no—
987#121—61no—
988#121—61no—
989#121—61no—
990#121—61no—
991#121—61no—
992#121—61no—
993#121—61no—
994#121—61no—
995#121—61no—
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—31no—
1009C4×Q8—31no—
1010C4×Q8—31no—
1011C4×Q8—31no—
1012C4×Q8—61no—
1013C4×Q8—61no—
1014C4×Q8—61no—
1015C4×Q8—61no—
1016C4×Q8—61no—
1017C4×Q8—61no—
1018C4×Q8—61no—
1019C4×Q8—61no—
1020C4×Q8—61no—
1021C4×Q8—61no—
1022C4×Q8—61no—
1023C4×Q8—61no—
1024C4×Q8—61no—
1025C4×Q8—61no—
1026C4×Q8—61no—
1027C4×Q8C22×D311yescharacteristic
1028C4×Q8C22×D311yescharacteristic
1029C4×Q8C22×D311yescharacteristic
1030C4×D4—21no—
1031C4×D4—21no—
1032C4×D4—31no—
1033C4×D4—31no—
1034C4×D4—31no—
1035C4×D4—31no—
1036C4×D4—31no—
1037C4×D4—31no—
1038C4×D4—31no—
1039C4×D4—31no—
1040C4×D4—31no—
1041C4×D4—31no—
1042C4×D4—31no—
1043C4×D4—61no—
1044C4×D4—61no—
1045C4×D4—61no—
1046C4×D4—61no—
1047C4×D4—61no—
1048C4×D4—61no—
1049C4×D4—61no—
1050C4×D4—61no—
1051C4×D4—61no—
1052C4×D4—61no—
1053C4×D4—61no—
1054C4×D4—61no—
1055C4×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×D4C22×D311yescharacteristic
1065C4×D4C22×D311yescharacteristic
1066C4×D4C22×D311yescharacteristic
1067#117—21no—
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—
1078#117—61no—
1079#117—61no—
1080#117—61no—
1081#117—61no—
1082#117—61no—
1083#117—61no—
1084#117—61no—
1085#117—61no—
1086#117—61no—
1087#117—61no—
1088#117C22×D311yescharacteristic
1089C2×C4⋊C4—21no—
1090C2×C4⋊C4—31no—
1091C2×C4⋊C4—31no—
1092C2×C4⋊C4—31no—
1093C2×C4⋊C4—31no—
1094C2×C4⋊C4—61no—
1095C2×C4⋊C4—61no—
1096C2×C4⋊C4—61no—
1097C2×C4⋊C4—61no—
1098C2×C4⋊C4—61no—
1099C2×C4⋊C4—61no—
1100C2×C4⋊C4—61no—
1101C2×C4⋊C4—61no—
1102C2×C4⋊C4C22×D311yescharacteristic
1103C2×C42—31no—
1104C2×C42—31no—
1105C2×C42—31no—
1106C2×C42—61no—
1107C2×C42—61no—
1108C2×C42—61no—
1109C2×C42—61no—
1110C2×C42—61no—
1111C2×C42—61no—
1112#107—31no—
1113#107—31no—
1114#107—31no—
1115#107—31no—
1116#106—31no—
1117#106—31no—
1118#106—31no—
1119#106—31no—
1120#106—31no—
1121#106—31no—
1122#106—31no—
1123#106—31no—
1124#106C22×D311yescharacteristic
1125#106C22×D311yescharacteristic
1126#106C22×D311yescharacteristic
1127#106C22×D311yescharacteristic
1128C4⋊C8—31no—
1129C4⋊C8—31no—
1130C4⋊C8—31no—
1131C4⋊C8—31no—
1132C4⋊C8—31no—
1133C4⋊C8—31no—
1134C4⋊C8C22×D311yescharacteristic
1135C4⋊C8C22×D311yescharacteristic
1136#103—31no—
1137#103—31no—
1138#103—31no—
1139#103—31no—
1140#103—31no—
1141#103—31no—
1142#103—31no—
1143#103—31no—
1144#103—31no—
1145#103—31no—
1146#103—31no—
1147#103—31no—
1148#103—31no—
1149#103—31no—
1150#103—31no—
1151#103—31no—
1152#103C22×D311yescharacteristic
1153#103C22×D311yescharacteristic
1154#103C22×D311yescharacteristic
1155#103C22×D311yescharacteristic
1156#102—31no—
1157#102—31no—
1158#102—31no—
1159#102—31no—
1160#102—31no—
1161#102—31no—
1162#102—31no—
1163#102—31no—
1164#102C22×D311yescharacteristic
1165#102C22×D311yescharacteristic
1166#102C22×D311yescharacteristic
1167#102C22×D311yescharacteristic
1168C22⋊C8—31no—
1169C22⋊C8—31no—
1170C22⋊C8—31no—
1171C22⋊C8—31no—
1172C22⋊C8—31no—
1173C22⋊C8—31no—
1174C22⋊C8C22×D311yescharacteristic
1175C22⋊C8C22×D311yescharacteristic
1176#97—31no—
1177#97—31no—
1178#97—31no—
1179#97C22×D311yescharacteristic
1180C4×C8—31no—
1181C4×C8—31no—
1182C4×C8—31no—
1183C4×C8C22×D311yescharacteristic
1184C23×C3—21no—
1185C23×C3—21no—
1186C23×C3C22×D411yescharacteristic
1187C22×D3—21no—
1188C22×D3C22×D411yescharacteristic
1189C22×D3C22×D411yescharacteristic
1190C3×Q8—21no—
1191C3×Q8—21no—
1192C3×Q8—21no—
1193C3×Q8—81no—
1194C3×Q8C2×#4112yes—
1195C3×D4—24no—
1196C3×D4—21no—
1197C3×D4—21no—
1198C3×D4—21no—
1199C3×D4—81no—
1200C3×D4C2×#4112yes—
1201C2×C3×C4—24no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—21no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—81no—
1211C2×C3×C4—81no—
1212C2×C3×C4—81no—
1213C2×C3×C4—81no—
1214C2×C3×C4C22×D411yescharacteristic
1215C2×C3×C4C22×D411yescharacteristic
1216C2×C3×C4C22×D411yescharacteristic
1217C2×C3×C4C22×D411yescharacteristic
1218C2×C3×C4C22×D411yescharacteristic
1219C2×C3×C4C2511yescharacteristic
1220#67—24no—
1221#67—22no—
1222#67—24no—
1223#67—22no—
1224#67—42no—
1225#67—42no—
1226#67—42no—
1227#67—81no—
1228#67—81no—
1229C2×Dic3—24no—
1230C2×Dic3—24no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—24no—
1234C2×Dic3—22no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—21no—
1240C2×Dic3—41no—
1241C2×Dic3—42no—
1242C2×Dic3—42no—
1243C2×Dic3—81no—
1244C2×Dic3—81no—
1245C2×Dic3C22×D411yescharacteristic
1246C2×Dic3C22×D411yescharacteristic
1247C2×Dic3C22×D411yescharacteristic
1248C2×Dic3C22×D411yescharacteristic
1249C2×Dic3C22×D411yescharacteristic
1250C2×Dic3C22×D411yescharacteristic
1251D12—22no—
1252D12—21no—
1253D12—21no—
1254D12—42no—
1255D12—81no—
1256C4×D3—24no—
1257C4×D3—24no—
1258C4×D3—21no—
1259C4×D3—21no—
1260C4×D3—22no—
1261C4×D3—22no—
1262C4×D3—41no—
1263C4×D3—41no—
1264C4×D3—42no—
1265C4×D3—81no—
1266C4×D3—81no—
1267C4×D3—81no—
1268C4×D3—81no—
1269C4×D3—81no—
1270C4×D3—81no—
1271C4×D3C2×#4112yes—
1272C4×D3C2×#4112yes—
1273Dic6—24no—
1274Dic6—24no—
1275Dic6—21no—
1276Dic6—21no—
1277Dic6—22no—
1278Dic6—24no—
1279Dic6—21no—
1280Dic6—21no—
1281Dic6—42no—
1282Dic6—42no—
1283Dic6—81no—
1284Dic6C2×#4112yes—
1285Dic6C2×#4112yes—
1286C3×C8—21no—
1287C3×C8—21no—
1288C3×C8—21no—
1289C3×C8—21no—
1290C3⋊C8—21no—
1291C3⋊C8—21no—
1292C3⋊C8—21no—
1293C3⋊C8—21no—
1294#41—22no—
1295#41—22no—
1296#41—34no—
1297#41—62no—
1298#41—62no—
1299#41—68no—
1300#41—62no—
1301#41—62no—
1302#41—62no—
1303#41—62no—
1304#41—62no—
1305#41—62no—
1306#41—68no—
1307#41—68no—
1308#41—62no—
1309#41—242no—
1310#41—242no—
1311C2×Q8—21no—
1312C2×Q8—31no—
1313C2×Q8—34no—
1314C2×Q8—31no—
1315C2×Q8—31no—
1316C2×Q8—31no—
1317C2×Q8—61no—
1318C2×Q8—61no—
1319C2×Q8—61no—
1320C2×Q8—61no—
1321C2×Q8—62no—
1322C2×Q8—62no—
1323C2×Q8—68no—
1324C2×Q8—62no—
1325C2×Q8—62no—
1326C2×Q8—62no—
1327C2×Q8—61no—
1328C2×Q8—61no—
1329C2×Q8—242no—
1330C2×Q8C23×D311yescharacteristic
1331C2×Q8C23×D311yescharacteristic
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—31no—
1335C2×D4—31no—
1336C2×D4—31no—
1337C2×D4—31no—
1338C2×D4—61no—
1339C2×D4—61no—
1340C2×D4—61no—
1341C2×D4—61no—
1342C2×D4—61no—
1343C2×D4—61no—
1344C2×D4—61no—
1345C2×D4—61no—
1346C2×D4—61no—
1347C2×D4C23×D311yescharacteristic
1348C2×D4C23×D311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—31no—
1355C22×C4—31no—
1356C22×C4—31no—
1357C22×C4—31no—
1358C22×C4—31no—
1359C22×C4—31no—
1360C22×C4—31no—
1361C22×C4—31no—
1362C22×C4—61no—
1363C22×C4—61no—
1364C22×C4—61no—
1365C22×C4—61no—
1366C22×C4—61no—
1367C22×C4—61no—
1368C22×C4—61no—
1369C22×C4—61no—
1370C22×C4—61no—
1371C22×C4—61no—
1372C22×C4—61no—
1373C22×C4—61no—
1374C22×C4—61no—
1375C22×C4—61no—
1376C22×C4—61no—
1377C22×C4—61no—
1378C22×C4C23×D311yescharacteristic
1379Q16—22no—
1380Q16—62no—
1381Q16—62no—
1382Q16—62no—
1383Q16—62no—
1384Q16—62no—
1385SD16—22no—
1386SD16—22no—
1387SD16—62no—
1388SD16—62no—
1389SD16—62no—
1390SD16—62no—
1391SD16—62no—
1392SD16—62no—
1393D8—22no—
1394D8—62no—
1395M16—62no—
1396M16—62no—
1397C2×C8—31no—
1398C2×C8—31no—
1399C2×C8—31no—
1400C2×C8—31no—
1401C2×C8—62no—
1402C2×C8—62no—
1403C2×C8C23×D311yescharacteristic
1404C2×C8C23×D311yescharacteristic
1405C2×C8C23×D311yescharacteristic
1406C2×C8C23×D311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—31no—
1414C4⋊C4—31no—
1415C4⋊C4—31no—
1416C4⋊C4—31no—
1417C4⋊C4—31no—
1418C4⋊C4—31no—
1419C4⋊C4—31no—
1420C4⋊C4—31no—
1421C4⋊C4—61no—
1422C4⋊C4—61no—
1423C4⋊C4—61no—
1424C4⋊C4—61no—
1425C4⋊C4—61no—
1426C4⋊C4—61no—
1427C4⋊C4—61no—
1428C4⋊C4—61no—
1429C4⋊C4—61no—
1430C4⋊C4—61no—
1431C4⋊C4—61no—
1432C4⋊C4—61no—
1433C4⋊C4—61no—
1434C4⋊C4—61no—
1435C4⋊C4—61no—
1436C4⋊C4—61no—
1437C4⋊C4—61no—
1438C4⋊C4—61no—
1439C4⋊C4—61no—
1440C4⋊C4—61no—
1441C4⋊C4—61no—
1442C4⋊C4—61no—
1443C4⋊C4—61no—
1444C4⋊C4—61no—
1445C4⋊C4—61no—
1446C4⋊C4D3×D411yescharacteristic
1447C4⋊C4D3×D411yescharacteristic
1448C4⋊C4C23×D311yescharacteristic
1449C4⋊C4C23×D311yescharacteristic
1450C4⋊C4C23×D311yescharacteristic
1451C4⋊C4C23×D311yescharacteristic
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—31no—
1460C22⋊C4—31no—
1461C22⋊C4—31no—
1462C22⋊C4—31no—
1463C22⋊C4—61no—
1464C22⋊C4—61no—
1465C22⋊C4—61no—
1466C22⋊C4—61no—
1467C22⋊C4—61no—
1468C22⋊C4—61no—
1469C22⋊C4—61no—
1470C22⋊C4—61no—
1471C22⋊C4—61no—
1472C22⋊C4—61no—
1473C22⋊C4—61no—
1474C22⋊C4—61no—
1475C22⋊C4—61no—
1476C22⋊C4—61no—
1477C22⋊C4—61no—
1478C22⋊C4—61no—
1479C22⋊C4D3×D411yescharacteristic
1480C22⋊C4D3×D411yescharacteristic
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—31no—
1485C42—31no—
1486C42—31no—
1487C42—31no—
1488C42—31no—
1489C42—31no—
1490C42—31no—
1491C42—31no—
1492C42—61no—
1493C42—61no—
1494C42—61no—
1495C42—61no—
1496C42—61no—
1497C42—61no—
1498C42—61no—
1499C42—61no—
1500C42—61no—
1501C42—61no—
1502C42—61no—
1503C42—61no—
1504C42—61no—
1505C42—61no—
1506C42—61no—
1507C42—61no—
1508C42C23×D311yescharacteristic
1509C42C23×D311yescharacteristic
1510C22×C3—21no—
1511C22×C3—21no—
1512C22×C3—22no—
1513C22×C3—21no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3C23×D411yescharacteristic
1520C2×D3—21no—
1521C2×D3—21no—
1522C2×D3—21no—
1523C2×D3—21no—
1524C2×D3—21no—
1525C2×D3—41no—
1526C2×D3—41no—
1527C2×D3—41no—
1528C2×D3#52512yes—
1529C3×C4—21no—
1530C3×C4—21no—
1531C3×C4—21no—
1532C3×C4—22no—
1533C3×C4—21no—
1534C3×C4—21no—
1535C3×C4—41no—
1536C3×C4—41no—
1537C3×C4—41no—
1538C3×C4—41no—
1539C3×C4—41no—
1540C3×C4C22×#4111yescharacteristic
1541C3×C4C22×#4111yescharacteristic
1542Dic3—21no—
1543Dic3—21no—
1544Dic3—21no—
1545Dic3—22no—
1546Dic3—22no—
1547Dic3—21no—
1548Dic3—41no—
1549Dic3—41no—
1550Dic3—41no—
1551Dic3—41no—
1552Dic3—41no—
1553Dic3#52512yes—
1554Dic3#57712yes—
1555C23—21no—
1556C23—21no—
1557C23—31no—
1558C23—31no—
1559C23—61no—
1560C23C2×D3×D411yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—32no—
1565Q8—32no—
1566Q8—62no—
1567Q8—64no—
1568Q8—64no—
1569Q8—64no—
1570Q8—61no—
1571Q8—61no—
1572Q8—61no—
1573Q8—61no—
1574Q8—81no—
1575Q8—122no—
1576Q8—122no—
1577Q8—241no—
1578Q8D3×#4112yes—
1579D4—24no—
1580D4—21no—
1581D4—21no—
1582D4—21no—
1583D4—62no—
1584D4—62no—
1585D4—62no—
1586D4—64no—
1587D4—64no—
1588D4—61no—
1589D4—61no—
1590D4—81no—
1591D4—122no—
1592D4—122no—
1593D4—122no—
1594D4—122no—
1595D4—241no—
1596D4—241no—
1597D4—241no—
1598D4D3×#4112yes—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—31no—
1609C2×C4—31no—
1610C2×C4—32no—
1611C2×C4—32no—
1612C2×C4—31no—
1613C2×C4—31no—
1614C2×C4—31no—
1615C2×C4—31no—
1616C2×C4—62no—
1617C2×C4—62no—
1618C2×C4—64no—
1619C2×C4—64no—
1620C2×C4—62no—
1621C2×C4—64no—
1622C2×C4—64no—
1623C2×C4—64no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—81no—
1637C2×C4—121no—
1638C2×C4—121no—
1639C2×C4—122no—
1640C2×C4—122no—
1641C2×C4—122no—
1642C2×C4—121no—
1643C2×C4—241no—
1644C2×C4—241no—
1645C2×C4—241no—
1646C2×C4—241no—
1647C2×C4—241no—
1648C2×C4—241no—
1649C2×C4—241no—
1650C2×C4—241no—
1651C2×C4C2×D3×D411yescharacteristic
1652C2×C4C2×D3×D411yescharacteristic
1653C2×C4C2×D3×D411yescharacteristic
1654C2×C4C2×D3×D411yescharacteristic
1655C2×C4C2×D3×D411yescharacteristic
1656C2×C4C24×D311yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—61no—
1662C8—61no—
1663C8—61no—
1664C8—61no—
1665C2×C3—41no—
1666C2×C3—42no—
1667C2×C3—81no—
1668C2×C3C2×#52511yescharacteristic
1669C2×C3C2×#57711yescharacteristic
1670C2×C3#358611yescharacteristic
1671D3—22no—
1672D3—41no—
1673D3—81no—
1674C22—21no—
1675C22—22no—
1676C22—21no—
1677C22—21no—
1678C22—32no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—61no—
1685C22—61no—
1686C22—61no—
1687C22—61no—
1688C22—61no—
1689C22—121no—
1690C22—121no—
1691C22—121no—
1692C22C22×D3×D411yescharacteristic
1693C4—21no—
1694C4—22no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—32no—
1700C4—32no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—61no—
1707C4—62no—
1708C4—62no—
1709C4—61no—
1710C4—61no—
1711C4—61no—
1712C4—121no—
1713C4—121no—
1714C4—121no—
1715C4—121no—
1716C4—121no—
1717C4C2×D3×#4111yescharacteristic
1718C4C2×D3×#4111yescharacteristic
1719C3#6059911yescharacteristic, complemented, Sylow
1720C2—41no—
1721C2—42no—
1722C2—62no—
1723C2—81no—
1724C2—121no—
1725C2—241no—
1726C2D3×#52511yescharacteristic
1727C2D3×#57711yescharacteristic
1728C2#8720811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3125C2
socleC22×C3C23×D4
hypercenter#3125D3
hypocenterC3#60599
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3125

Complements

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

NH ≅ G/Ntype
1. #86526C2semidirect
2. #85887C2semidirect
3. C3×#3125C2semidirect
4. #83467C2semidirect
5. #82576C2semidirect
6. #81430C2semidirect
7. #81414C2semidirect
8. #81328C2semidirect
9. #81308C2semidirect
10. #81061C2semidirect
11. #81049C2semidirect
12. D3×#475C2semidirect
13. #81000C2semidirect
14. #80598C2semidirect
15. #80573C2semidirect
16. #80533C2semidirect
17. #80511C2semidirect
18. #80232C2semidirect
19. #80213C2semidirect
20. #80088C2semidirect
21. #80071C2semidirect
22. #79872C2semidirect
23. #79868C2semidirect
24. #79833C2semidirect
25. #79830C2semidirect
26. #79655C2semidirect
27. #79653C2semidirect
28. #79650C2semidirect
29. #79648C2semidirect
30. #79394C2semidirect
31. #79375C2semidirect
209. #3125D3semidirect
726. D3×Q8#41semidirect
735. #237#41semidirect
1719. C3#60599semidirect

Maximal subgroups

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

subgroupindex
#865262
#858872
C3×#31252
#834672
#825762
#814302
#814142
#813282
#813082
#810612
#810492
D3×#4752
#810002
#805982
#805732
#805332
#805112
#802322
#802132
#800882
#800712
#798722
#798682
#798332
#798302
#796552
#796532
#796502
#796482
#793942
#793752
#605993