Finite Group Databasebeta

← #11685733

Subgroups — #11685733

Order 768.

1650 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86537C211yesmaximal, characteristic, complemented
2#85889C211yesmaximal, characteristic, complemented
3C3×#3125C211yesmaximal, characteristic
4#83455C211yesmaximal, characteristic, complemented
5#82575C211yesmaximal, characteristic, complemented
6#81422C211yesmaximal, characteristic, complemented
7#81418C211yesmaximal, characteristic, complemented
8#81317C211yesmaximal, characteristic, complemented
9#81315C211yesmaximal, characteristic, complemented
10#81057C211yesmaximal, characteristic, complemented
11#81053C211yesmaximal, characteristic, complemented
12#81043C211yesmaximal, characteristic, complemented
13#81007C211yesmaximal, characteristic, complemented
14#80582C211yesmaximal, characteristic, complemented
15#80580C211yesmaximal, characteristic, complemented
16#80522C211yesmaximal, characteristic, complemented
17#80518C211yesmaximal, characteristic, complemented
18#80217C211yesmaximal, characteristic, complemented
19#80215C211yesmaximal, characteristic, complemented
20#80075C211yesmaximal, characteristic
21#80068C211yesmaximal, characteristic
22#79855C211yesmaximal, characteristic, complemented
23#79854C211yesmaximal, characteristic, complemented
24#79819C211yesmaximal, characteristic, complemented
25#79817C211yesmaximal, characteristic, complemented
26#79636C211yesmaximal, characteristic, complemented
27#79633C211yesmaximal, characteristic, complemented
28#79626C211yesmaximal, characteristic, complemented
29#79619C211yesmaximal, characteristic, complemented
30#79363C211yesmaximal, characteristic, complemented
31#79359C211yesmaximal, characteristic, complemented
32#61858—31nomaximal, Sylow
33C3×#542C2211yescharacteristic
34C3×#520C2211yescharacteristic
35#5827C2211yescharacteristic
36Dic3×#41C2211yescharacteristic
37#5722C2211yescharacteristic
38#5721C2211yescharacteristic
39#5701—21no—
40#5701—21no—
41#5672—21no—
42#5671—21no—
43#5671C2211yescharacteristic
44#5671C2211yescharacteristic
45#5651—21no—
46#5650—21no—
47#5625—21no—
48#5625C2211yescharacteristic
49#5623—21no—
50#5622C2211yescharacteristic
51#5603C2211yescharacteristic
52#5600C2211yescharacteristic
53#5569C2211yescharacteristic
54#5569C2211yescharacteristic
55#5569C2211yescharacteristic
56#5567C2211yescharacteristic
57Q8×Dic6C2211yescharacteristic
58Q8×Dic6C2211yescharacteristic
59#5542C2211yescharacteristic
60#5539—21no—
61#5539—21no—
62#5539C2211yescharacteristic
63#5539C2211yescharacteristic
64#5539C2211yescharacteristic
65D4×Dic6—21no—
66D4×Dic6—21no—
67D4×Dic6C2211yescharacteristic
68D4×Dic6C2211yescharacteristic
69#5519—21no—
70#5519C2211yescharacteristic
71#5518C2211yescharacteristic
72#5517—21no—
73#5517C2211yescharacteristic
74#5500—21no—
75#5500C2211yescharacteristic
76C2×#888—21no—
77C2×#888C2211yescharacteristic
78C3×#483C2211yescharacteristic
79C3×#481C2211yescharacteristic
80C3×#476C2211yescharacteristic
81C3×#475C2211yescharacteristic
82C3×#464C2211yescharacteristic
83C3×#463C2211yescharacteristic
84C3×#452C2211yescharacteristic
85C3×#449C2211yescharacteristic
86C3×#442C2211yescharacteristic
87C3×#441C2211yescharacteristic
88C3×C4×SD16C2211yescharacteristic
89C3×C4×SD16C2211yescharacteristic
90C3×#433C2211yescharacteristic
91#5239C2211yescharacteristic
92#5239C2211yescharacteristic
93#5184C2211yescharacteristic
94#5182C2211yescharacteristic
95#5182C2211yescharacteristic
96Dic3×Q16C2211yescharacteristic
97#5166C2211yescharacteristic
98#5166C2211yescharacteristic
99#5164C2211yescharacteristic
100#5164C2211yescharacteristic
101#5162C2211yescharacteristic
102#5162C2211yescharacteristic
103Dic3×SD16C2211yescharacteristic
104Dic3×SD16C2211yescharacteristic
105#5153C2211yescharacteristic
106#5153C2211yescharacteristic
107#5152C2211yescharacteristic
108Dic3×D8C2211yescharacteristic
109#5081C2211yescharacteristic
110#5080C2211yescharacteristic
111#5056C2211yescharacteristic
112#5055C2211yescharacteristic
113#5045C2211yescharacteristic
114#5043C2211yescharacteristic
115#5035C2211yescharacteristic
116#5034C2211yescharacteristic
117#5031C2211yescharacteristic
118#5030C2211yescharacteristic
119C4×#216C2211yescharacteristic
120#5022C2211yescharacteristic
121#5022C2211yescharacteristic
122#5020C2211yescharacteristic
123#5019C2211yescharacteristic
124#5018C2211yescharacteristic
125C4×#214C2211yescharacteristic
126#5009C2211yescharacteristic
127#5009C2211yescharacteristic
128#5008C2211yescharacteristic
129#5000C2211yescharacteristic
130#4971C2211yescharacteristic
131#4970C2211yescharacteristic
132#4858C2211yescharacteristic
133#4857C2211yescharacteristic
134#4857C2211yescharacteristic
135#4856C2211yescharacteristic
136#4856C2211yescharacteristic
137#4856C2211yescharacteristic
138#4856C2211yescharacteristic
139#4855C2211yescharacteristic
140#4855C2211yescharacteristic
141#4855C2211yescharacteristic
142#4854C2211yescharacteristic
143#4854C2211yescharacteristic
144#4854C2211yescharacteristic
145#4854C2211yescharacteristic
146#4854C2211yescharacteristic
147#4854C2211yescharacteristic
148#4851C2211yescharacteristic
149#4850C2211yescharacteristic
150#4831C2211yescharacteristic
151#4830C2211yescharacteristic
152#4829C2211yescharacteristic
153#4829C2211yescharacteristic
154#4828C2211yescharacteristic
155#4828C2211yescharacteristic
156#4799C2211yescharacteristic
157#4797C2211yescharacteristic
158#4796C2211yescharacteristic
159#4796C2211yescharacteristic
160#4793C2211yescharacteristic
161#4793C2211yescharacteristic
162#4792C2211yescharacteristic
163#4792C2211yescharacteristic
164#4792C2211yescharacteristic
165#4791C2211yescharacteristic
166#4791C2211yescharacteristic
167#4791C2211yescharacteristic
168#4790C2211yescharacteristic
169#4789C2211yescharacteristic
170#4789C2211yescharacteristic
171#4789C2211yescharacteristic
172#4768C2211yescharacteristic
173#4766C2211yescharacteristic
174#4766C2211yescharacteristic
175#4765C2211yescharacteristic
176#4765C2211yescharacteristic
177#4765C2211yescharacteristic
178#4763C2211yescharacteristic
179#4761C2211yescharacteristic
180#4761C2211yescharacteristic
181#4761C2211yescharacteristic
182#4759C2211yescharacteristic
183#4759C2211yescharacteristic
184#4758C2211yescharacteristic
185#4758C2211yescharacteristic
186#4758C2211yescharacteristic
187#4757C2211yescharacteristic
188#4723C2211yescharacteristic
189#4723C2211yescharacteristic
190#4722C2211yescharacteristic
191#4721C2211yescharacteristic
192#4720C2211yescharacteristic
193#4720C2211yescharacteristic
194#4719C2211yescharacteristic
195#4718C2211yescharacteristic
196#4703C2211yescharacteristic
197#4702C2211yescharacteristic
198#4701C2211yescharacteristic
199#4701C2211yescharacteristic
200#4683C2211yescharacteristic
201#4681C2211yescharacteristic
202#4679C2211yescharacteristic
203C8×Dic6C2211yescharacteristic
204#3555—31no—
205#3503—31no—
206#3388—31no—
207#3388—31no—
208#3387—31no—
209#3387—31no—
210#3387—31no—
211#3384—31no—
212#3381—31no—
213Q8×SD16—31no—
214#3376—31no—
215#3376—31no—
216#3374—31no—
217#3369—31no—
218#3369—31no—
219#3367—31no—
220#3364—31no—
221#3359—31no—
222#3244—31no—
223#3244—31no—
224#3242—31no—
225#3242—31no—
226#3239—31no—
227#3229—31no—
228#3125—31no—
229#3125D311yescharacteristic
230#3120—31no—
231#3120—31no—
232#3116—31no—
233#3102—31no—
234#2985—31no—
235C2×C3×#41C2311yescharacteristic
236C22×Dic6—21no—
237C22×Dic6—21no—
238C22×Dic6—21no—
239C2×C3×Q16C2311yescharacteristic
240C2×C3×SD16C2311yescharacteristic
241C2×C3×SD16C2311yescharacteristic
242C2×C3×D8C2311yescharacteristic
243C3×C4⋊Q8C2311yescharacteristic
244C3×#126—21no—
245C3×#124—21no—
246C3×#124C2311yescharacteristic
247C3×#123—21no—
248C3×C22⋊Q8—21no—
249C3×C22⋊Q8C2311yescharacteristic
250C3×#121C2311yescharacteristic
251C3×C4×Q8C2311yescharacteristic
252C3×C4×Q8C2311yescharacteristic
253C3×C4×Q8C2311yescharacteristic
254C3×C4×D4—21no—
255C3×C4×D4—21no—
256C3×C4×D4C2311yescharacteristic
257C3×C4×D4C2311yescharacteristic
258C3×C4×D4C2311yescharacteristic
259C3×#117—21no—
260C3×#117C2311yescharacteristic
261C2×C3×C4⋊C4—21no—
262C2×C3×C4⋊C4C2311yescharacteristic
263Q8×Dic3—21no—
264Q8×Dic3C2311yescharacteristic
265Q8×Dic3C2311yescharacteristic
266Q8×Dic3C2311yescharacteristic
267Q8×Dic3C2311yescharacteristic
268Q8×Dic3C2311yescharacteristic
269Q8×Dic3C2311yescharacteristic
270#944—21no—
271#944—21no—
272#944—21no—
273#944C2311yescharacteristic
274#944C2311yescharacteristic
275C2×#216C2311yescharacteristic
276C2×#216C2311yescharacteristic
277#936—21no—
278#936C2311yescharacteristic
279#936C2311yescharacteristic
280#935—21no—
281#935—21no—
282D4×Dic3—21no—
283D4×Dic3—21no—
284D4×Dic3—21no—
285D4×Dic3—21no—
286D4×Dic3—21no—
287D4×Dic3C2311yescharacteristic
288D4×Dic3C2311yescharacteristic
289D4×Dic3C2311yescharacteristic
290D4×Dic3C2311yescharacteristic
291D4×Dic3C2311yescharacteristic
292D4×Dic3C2311yescharacteristic
293C2×#214C2311yescharacteristic
294C2×#214C2311yescharacteristic
295#926—21no—
296#926—21no—
297#926—21no—
298#926C2311yescharacteristic
299#926C2311yescharacteristic
300C2×C4⋊Dic3—21no—
301C2×C4⋊Dic3C2311yescharacteristic
302#924—21no—
303#924—21no—
304#924—21no—
305#924—21no—
306#924—21no—
307#924—21no—
308#924—21no—
309#924—21no—
310#924C2311yescharacteristic
311#924C2311yescharacteristic
312C2×Dic3⋊C4—21no—
313C2×Dic3⋊C4—21no—
314C2×Dic3⋊C4—21no—
315C2×Dic3⋊C4—21no—
316C2×C4×Dic3—21no—
317C2×C4×Dic3C2311yescharacteristic
318#890—21no—
319#890—21no—
320#890—21no—
321#890—21no—
322#890—21no—
323#890—21no—
324#890D411yescharacteristic
325#890D411yescharacteristic
326#890C2311yescharacteristic
327#890C2311yescharacteristic
328#890C2311yescharacteristic
329#890C2311yescharacteristic
330#889—21no—
331#889—21no—
332#889—21no—
333#889—21no—
334#889—21no—
335#889—21no—
336#889—21no—
337#889—21no—
338#888—21no—
339#888—21no—
340#888—21no—
341#888—21no—
342#888—21no—
343#888—21no—
344#888—21no—
345#888—21no—
346#888—21no—
347#888—21no—
348#888—21no—
349#888—21no—
350#888D411yescharacteristic
351#888D411yescharacteristic
352#888C2311yescharacteristic
353#888C2311yescharacteristic
354#888C2311yescharacteristic
355#888C2311yescharacteristic
356#888C2311yescharacteristic
357#888C2311yescharacteristic
358#888C2311yescharacteristic
359#888C2311yescharacteristic
360#887—21no—
361#887—21no—
362#887C2311yescharacteristic
363#887C2311yescharacteristic
364#887C2311yescharacteristic
365#887C2311yescharacteristic
366#879—21no—
367#879—21no—
368#879—21no—
369#879—21no—
370#879—21no—
371#879—21no—
372#879—21no—
373#879—21no—
374#879—21no—
375#879—21no—
376#879—21no—
377#879—21no—
378#878—21no—
379#878—21no—
380#878—21no—
381#878—21no—
382#878—21no—
383#878—21no—
384#878—21no—
385#878—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#878D411yescharacteristic
395#878D411yescharacteristic
396#878D411yescharacteristic
397#878D411yescharacteristic
398#877—21no—
399#877—21no—
400#877—21no—
401#877—21no—
402#870—21no—
403#870—21no—
404#870—21no—
405#870—21no—
406#870C2311yescharacteristic
407#870C2311yescharacteristic
408#870C2311yescharacteristic
409#869—21no—
410#869—21no—
411#869C2311yescharacteristic
412#869C2311yescharacteristic
413#869C2311yescharacteristic
414C4×Dic6—21no—
415C4×Dic6—21no—
416C4×Dic6—21no—
417C4×Dic6—21no—
418C4×Dic6—21no—
419C4×Dic6—21no—
420C4×Dic6C2311yescharacteristic
421C4×Dic6C2311yescharacteristic
422C4×Dic6C2311yescharacteristic
423C4×Dic6C2311yescharacteristic
424C4×Dic6C2311yescharacteristic
425C4×Dic6C2311yescharacteristic
426C3×#106C2311yescharacteristic
427C3×#106C2311yescharacteristic
428C3×#106C2311yescharacteristic
429C3×#106C2311yescharacteristic
430C3×C4⋊C8C2311yescharacteristic
431C3×C4⋊C8C2311yescharacteristic
432C3×#103C2311yescharacteristic
433C3×#103C2311yescharacteristic
434C3×#103C2311yescharacteristic
435C3×#103C2311yescharacteristic
436C3×#102C2311yescharacteristic
437C3×#102C2311yescharacteristic
438C3×#102C2311yescharacteristic
439C3×#102C2311yescharacteristic
440C3×C22⋊C8C2311yescharacteristic
441C3×C22⋊C8C2311yescharacteristic
442C3×#97C2311yescharacteristic
443C3×C4×C8C2311yescharacteristic
444#835C2311yescharacteristic
445#835C2311yescharacteristic
446#835C2311yescharacteristic
447#835C2311yescharacteristic
448#835C2311yescharacteristic
449#835C2311yescharacteristic
450#832C2311yescharacteristic
451#832C2311yescharacteristic
452#832C2311yescharacteristic
453#832C2311yescharacteristic
454#832C2311yescharacteristic
455#832C2311yescharacteristic
456#830C2311yescharacteristic
457#830C2311yescharacteristic
458#818C2311yescharacteristic
459#818C2311yescharacteristic
460#818C2311yescharacteristic
461#818C2311yescharacteristic
462#817C2311yescharacteristic
463#817C2311yescharacteristic
464#817C2311yescharacteristic
465#817C2311yescharacteristic
466#816C2311yescharacteristic
467#816C2311yescharacteristic
468#816C2311yescharacteristic
469#816C2311yescharacteristic
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#810C2311yescharacteristic
493#810C2311yescharacteristic
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#563—61no—
511#563—61no—
512Q82—31no—
513Q82—31no—
514Q82—31no—
515#557—31no—
516#557—31no—
517#557—31no—
518#557—31no—
519#557—31no—
520#556—31no—
521#556—31no—
522#556—31no—
523#556—61no—
524#554—31no—
525#554—31no—
526#554—31no—
527#554—61no—
528#554—61no—
529#552—61no—
530D4×Q8—31no—
531D4×Q8—31no—
532D4×Q8—61no—
533D4×Q8—61no—
534#544—31no—
535#544—31no—
536#544—61no—
537#544—61no—
538#544—61no—
539#542—31no—
540#542C2×D311yescharacteristic
541#541—31no—
542#541—31no—
543#541—61no—
544#541—61no—
545#541—61no—
546#533—31no—
547#533—31no—
548#533—61no—
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#491—31no—
568#491—31no—
569#489—31no—
570#489—31no—
571#489—31no—
572#489—31no—
573#488—31no—
574#488—31no—
575#487—31no—
576#487—31no—
577#487—31no—
578#487—31no—
579#485—31no—
580#485—31no—
581#485—31no—
582#484—31no—
583#484—31no—
584#483—31no—
585#483—31no—
586#483—31no—
587#483C2×D311yescharacteristic
588#482—31no—
589#481—31no—
590#481C2×D311yescharacteristic
591#479—31no—
592#479—31no—
593#479—31no—
594#479—31no—
595#479—31no—
596#479—31no—
597#479—31no—
598#479—31no—
599#479—31no—
600#478—31no—
601#478—31no—
602#478—31no—
603#478—31no—
604#478—31no—
605#477—31no—
606#477—31no—
607#477—31no—
608#476—31no—
609#476—31no—
610#476—31no—
611#476—31no—
612#476C2×D311yescharacteristic
613#475—31no—
614#475—31no—
615#475—31no—
616#475—31no—
617#475—31no—
618#475—31no—
619#475—31no—
620#475—31no—
621#475—31no—
622#475—31no—
623#475—31no—
624#475C2×D311yescharacteristic
625#474—31no—
626#474—31no—
627#464—31no—
628#464—31no—
629#464C2×D311yescharacteristic
630#463—31no—
631#463—31no—
632#463C2×D311yescharacteristic
633#462—31no—
634#462—31no—
635#462—31no—
636#461—31no—
637#461—31no—
638#461—31no—
639#452—31no—
640#452—31no—
641#452C2×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#442C2×D311yescharacteristic
653#441—31no—
654#441—31no—
655#441—31no—
656#441—31no—
657#441—31no—
658#441C2×D311yescharacteristic
659#440—31no—
660#440—31no—
661#440—31no—
662#440—31no—
663C4×Q16—31no—
664C4×Q16—31no—
665C4×Q16—31no—
666C4×SD16—31no—
667C4×SD16—31no—
668C4×SD16—31no—
669C4×SD16—31no—
670C4×SD16—31no—
671C4×SD16—31no—
672C4×SD16C2×D311yescharacteristic
673C4×SD16C2×D311yescharacteristic
674C4×D8—31no—
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×Q8—21no—
684C2×C3×Q8C2411yescharacteristic
685C2×C3×Q8C2411yescharacteristic
686C2×C3×D4—21no—
687C2×C3×D4—21no—
688C2×C3×D4C2411yescharacteristic
689C2×C3×D4C2411yescharacteristic
690C22×C3×C4—21no—
691C22×C3×C4—21no—
692C22×C3×C4—21no—
693C22×C3×C4—21no—
694C22×C3×C4—21no—
695C22×C3×C4C2411yescharacteristic
696C22×Dic3—21no—
697C22×Dic3—21no—
698C22×Dic3—21no—
699C22×Dic3—21no—
700C22×Dic3—21no—
701C22×Dic3—21no—
702C22×Dic3—21no—
703C22×Dic3C2×D411yescharacteristic
704C22×Dic3C2×D411yescharacteristic
705C2×Dic6—21no—
706C2×Dic6—21no—
707C2×Dic6—21no—
708C2×Dic6—21no—
709C2×Dic6—21no—
710C2×Dic6—21no—
711C2×Dic6—21no—
712C2×Dic6—21no—
713C2×Dic6—21no—
714C2×Dic6—21no—
715C2×Dic6—82no—
716C2×Dic6—82no—
717C2×Dic6—82no—
718C2×Dic6C2×D411yescharacteristic
719C2×Dic6C2×D411yescharacteristic
720C2×Dic6C2×D411yescharacteristic
721C2×Dic6C2×D411yescharacteristic
722C2×Dic6C2411yescharacteristic
723C2×Dic6C2411yescharacteristic
724C3×Q16—22no—
725C3×SD16—22no—
726C3×SD16—22no—
727C3×D8—22no—
728C2×C3×C8C2411yescharacteristic
729C2×C3×C8C2411yescharacteristic
730C2×C3×C8C2411yescharacteristic
731C2×C3×C8C2411yescharacteristic
732C3×C4⋊C4—21no—
733C3×C4⋊C4—21no—
734C3×C4⋊C4—21no—
735C3×C4⋊C4—21no—
736C3×C4⋊C4—21no—
737C3×C4⋊C4—21no—
738C3×C4⋊C4C2×D411yescharacteristic
739C3×C4⋊C4C2×D411yescharacteristic
740C3×C4⋊C4C2411yescharacteristic
741C3×C4⋊C4C2411yescharacteristic
742C3×C4⋊C4C2411yescharacteristic
743C3×C4⋊C4C2411yescharacteristic
744C3×C22⋊C4—21no—
745C3×C22⋊C4—21no—
746C3×C22⋊C4—21no—
747C3×C22⋊C4—21no—
748C3×C22⋊C4—21no—
749C3×C22⋊C4—21no—
750C3×C22⋊C4—21no—
751C3×C22⋊C4C2×D411yescharacteristic
752C3×C22⋊C4C2×D411yescharacteristic
753C3×C42—21no—
754C3×C42—21no—
755C3×C42—21no—
756C3×C42C2411yescharacteristic
757C3×C42C2411yescharacteristic
758#217—21no—
759#217—21no—
760#217—21no—
761#217—21no—
762#217—21no—
763#217—21no—
764#217—21no—
765#217—21no—
766#217—21no—
767#217—21no—
768#217—21no—
769#217—21no—
770#217—21no—
771#217C2×D411yescharacteristic
772#217C2×D411yescharacteristic
773#216—22no—
774#216—22no—
775#214—22no—
776#214—22no—
777C4⋊Dic3—21no—
778C4⋊Dic3—21no—
779C4⋊Dic3—21no—
780C4⋊Dic3—21no—
781C4⋊Dic3—21no—
782C4⋊Dic3—21no—
783C4⋊Dic3—21no—
784C4⋊Dic3—21no—
785C4⋊Dic3—21no—
786C4⋊Dic3—21no—
787C4⋊Dic3—21no—
788C4⋊Dic3—21no—
789C4⋊Dic3—21no—
790C4⋊Dic3—21no—
791C4⋊Dic3—21no—
792C4⋊Dic3C2×D411yescharacteristic
793C4⋊Dic3C2×D411yescharacteristic
794C4⋊Dic3C2×D411yescharacteristic
795C4⋊Dic3C2×D411yescharacteristic
796C4⋊Dic3C2×D411yescharacteristic
797C4⋊Dic3C2×D411yescharacteristic
798C4⋊Dic3C2411yescharacteristic
799C4⋊Dic3C2411yescharacteristic
800C4⋊Dic3C2411yescharacteristic
801C4⋊Dic3C2411yescharacteristic
802C4⋊Dic3C2411yescharacteristic
803C4⋊Dic3C2411yescharacteristic
804Dic3⋊C4—21no—
805Dic3⋊C4—21no—
806Dic3⋊C4—21no—
807Dic3⋊C4—21no—
808Dic3⋊C4—21no—
809Dic3⋊C4—21no—
810Dic3⋊C4—21no—
811Dic3⋊C4—21no—
812Dic3⋊C4—21no—
813Dic3⋊C4—21no—
814Dic3⋊C4—21no—
815Dic3⋊C4—21no—
816Dic3⋊C4—21no—
817Dic3⋊C4—21no—
818Dic3⋊C4—21no—
819Dic3⋊C4—21no—
820Dic3⋊C4—21no—
821Dic3⋊C4—21no—
822Dic3⋊C4—21no—
823Dic3⋊C4—21no—
824Dic3⋊C4—21no—
825Dic3⋊C4—21no—
826Dic3⋊C4—21no—
827Dic3⋊C4—21no—
828Dic3⋊C4—21no—
829Dic3⋊C4—21no—
830Dic3⋊C4—21no—
831Dic3⋊C4—21no—
832Dic3⋊C4—21no—
833Dic3⋊C4—21no—
834Dic3⋊C4C2×D411yescharacteristic
835Dic3⋊C4C2×D411yescharacteristic
836Dic3⋊C4C2×D411yescharacteristic
837Dic3⋊C4C2×D411yescharacteristic
838Dic3⋊C4C2×D411yescharacteristic
839Dic3⋊C4C2×D411yescharacteristic
840Dic3⋊C4C2×D411yescharacteristic
841Dic3⋊C4C2×D411yescharacteristic
842C4×Dic3—21no—
843C4×Dic3—21no—
844C4×Dic3—21no—
845C4×Dic3—21no—
846C4×Dic3—21no—
847C4×Dic3—21no—
848C4×Dic3—21no—
849C4×Dic3—21no—
850C4×Dic3—21no—
851C4×Dic3—21no—
852C4×Dic3—21no—
853C4×Dic3—21no—
854C4×Dic3—21no—
855C4×Dic3C2×D411yescharacteristic
856C4×Dic3C2×D411yescharacteristic
857C4×Dic3C2411yescharacteristic
858C4×Dic3C2411yescharacteristic
859C4×Dic3C2411yescharacteristic
860C4×Dic3C2411yescharacteristic
861C2×C3⋊C8C2411yescharacteristic
862C2×C3⋊C8C2411yescharacteristic
863C2×C3⋊C8C2411yescharacteristic
864C2×C3⋊C8C2411yescharacteristic
865C2×#41C22×D311yescharacteristic
866C22×Q8—61no—
867C22×Q8—61no—
868C22×Q8—61no—
869C2×Q16—31no—
870C2×Q16—31no—
871C2×Q16C22×D311yescharacteristic
872C2×SD16—31no—
873C2×SD16—31no—
874C2×SD16C22×D311yescharacteristic
875C2×SD16C22×D311yescharacteristic
876C2×D8C22×D311yescharacteristic
877C4⋊Q8—31no—
878C4⋊Q8—31no—
879C4⋊Q8—31no—
880C4⋊Q8—31no—
881C4⋊Q8—31no—
882C4⋊Q8—31no—
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—61no—
893C4⋊Q8—61no—
894C4⋊Q8—61no—
895C4⋊Q8—61no—
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—
909C4⋊Q8C22×D311yescharacteristic
910#126—21no—
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#126—61no—
922#126—61no—
923#125—31no—
924#125—31no—
925#125—31no—
926#125—31no—
927#125—31no—
928#125—31no—
929#125—31no—
930#125—31no—
931#125—31no—
932#125—61no—
933#125—61no—
934#125—61no—
935#125—61no—
936#125—61no—
937#125—61no—
938#125—61no—
939#125—61no—
940#125—61no—
941#125—61no—
942#125—61no—
943#125—61no—
944#125—61no—
945#125—61no—
946#125—61no—
947#125—61no—
948#125—61no—
949#125—61no—
950#124—21no—
951#124—31no—
952#124—31no—
953#124—61no—
954#124C22×D311yescharacteristic
955#123—21no—
956#123—61no—
957#123—61no—
958C22⋊Q8—21no—
959C22⋊Q8—31no—
960C22⋊Q8—31no—
961C22⋊Q8—31no—
962C22⋊Q8—31no—
963C22⋊Q8—31no—
964C22⋊Q8—31no—
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—
986C22⋊Q8—61no—
987C22⋊Q8—61no—
988C22⋊Q8—61no—
989C22⋊Q8C22×D311yescharacteristic
990#121C22×D311yescharacteristic
991C4×Q8—31no—
992C4×Q8—31no—
993C4×Q8—31no—
994C4×Q8—31no—
995C4×Q8—31no—
996C4×Q8—31no—
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—61no—
1008C4×Q8—61no—
1009C4×Q8—61no—
1010C4×Q8—61no—
1011C4×Q8—61no—
1012C4×Q8—61no—
1013C4×Q8—61no—
1014C4×Q8—61no—
1015C4×Q8—61no—
1016C4×Q8C22×D311yescharacteristic
1017C4×Q8C22×D311yescharacteristic
1018C4×Q8C22×D311yescharacteristic
1019C4×D4—21no—
1020C4×D4—21no—
1021C4×D4—31no—
1022C4×D4—31no—
1023C4×D4—31no—
1024C4×D4—31no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—61no—
1028C4×D4—61no—
1029C4×D4—61no—
1030C4×D4—61no—
1031C4×D4—61no—
1032C4×D4C22×D311yescharacteristic
1033C4×D4C22×D311yescharacteristic
1034C4×D4C22×D311yescharacteristic
1035#117—21no—
1036#117—31no—
1037#117—31no—
1038#117—61no—
1039#117—61no—
1040#117—61no—
1041#117—61no—
1042#117—61no—
1043#117—61no—
1044#117—61no—
1045#117C22×D311yescharacteristic
1046C2×C4⋊C4—21no—
1047C2×C4⋊C4—31no—
1048C2×C4⋊C4—61no—
1049C2×C4⋊C4—61no—
1050C2×C4⋊C4—61no—
1051C2×C4⋊C4—61no—
1052C2×C4⋊C4—61no—
1053C2×C4⋊C4C22×D311yescharacteristic
1054C2×C42—31no—
1055C2×C42—61no—
1056#107—31no—
1057#107—31no—
1058#107—31no—
1059#107—31no—
1060#107—31no—
1061#107—31no—
1062#107—31no—
1063#107—31no—
1064#106—31no—
1065#106—31no—
1066#106—31no—
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#106C22×D311yescharacteristic
1077#106C22×D311yescharacteristic
1078#106C22×D311yescharacteristic
1079#106C22×D311yescharacteristic
1080C4⋊C8—31no—
1081C4⋊C8—31no—
1082C4⋊C8—31no—
1083C4⋊C8—31no—
1084C4⋊C8—31no—
1085C4⋊C8—31no—
1086C4⋊C8—31no—
1087C4⋊C8—31no—
1088C4⋊C8—31no—
1089C4⋊C8—31no—
1090C4⋊C8C22×D311yescharacteristic
1091C4⋊C8C22×D311yescharacteristic
1092#103—31no—
1093#103—31no—
1094#103—31no—
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#103—31no—
1104#103—31no—
1105#103—31no—
1106#103—31no—
1107#103—31no—
1108#103—31no—
1109#103—31no—
1110#103C22×D311yescharacteristic
1111#103C22×D311yescharacteristic
1112#103C22×D311yescharacteristic
1113#103C22×D311yescharacteristic
1114#102—31no—
1115#102—31no—
1116#102—31no—
1117#102—31no—
1118#102—31no—
1119#102—31no—
1120#102C22×D311yescharacteristic
1121#102C22×D311yescharacteristic
1122#102C22×D311yescharacteristic
1123#102C22×D311yescharacteristic
1124C22⋊C8—31no—
1125C22⋊C8—31no—
1126C22⋊C8C22×D311yescharacteristic
1127C22⋊C8C22×D311yescharacteristic
1128#97—31no—
1129#97—31no—
1130#97—31no—
1131#97—31no—
1132#97—31no—
1133#97C22×D311yescharacteristic
1134C4×C8—31no—
1135C4×C8—31no—
1136C4×C8—31no—
1137C4×C8—31no—
1138C4×C8—31no—
1139C4×C8C22×D311yescharacteristic
1140C23×C3—21no—
1141C23×C3—21no—
1142C23×C3C22×D411yescharacteristic
1143C3×Q8—21no—
1144C3×Q8—21no—
1145C3×Q8—21no—
1146C3×Q8—81no—
1147C3×Q82−1+412yes—
1148C3×D4—24no—
1149C3×D4—21no—
1150C3×D4—21no—
1151C3×D4—21no—
1152C3×D4—81no—
1153C3×D42−1+412yes—
1154C2×C3×C4—24no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—81no—
1164C2×C3×C4—81no—
1165C2×C3×C4—81no—
1166C2×C3×C4—81no—
1167C2×C3×C4C22×D411yescharacteristic
1168C2×C3×C4C22×D411yescharacteristic
1169C2×C3×C4C22×D411yescharacteristic
1170C2×C3×C4C22×D411yescharacteristic
1171C2×C3×C4C22×D411yescharacteristic
1172C2×C3×C4C2511yescharacteristic
1173C2×Dic3—22no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—41no—
1183C2×Dic3—42no—
1184C2×Dic3—42no—
1185C2×Dic3—42no—
1186C2×Dic3—81no—
1187C2×Dic3—81no—
1188C2×Dic3—81no—
1189C2×Dic3—81no—
1190C2×Dic3C22×D411yescharacteristic
1191C2×Dic3C22×D411yescharacteristic
1192C2×Dic3C22×D411yescharacteristic
1193C2×Dic3C22×D411yescharacteristic
1194C2×Dic3C22×D411yescharacteristic
1195C2×Dic3C22×D411yescharacteristic
1196C2×Dic3C22×D411yescharacteristic
1197C2×Dic3C22×D411yescharacteristic
1198Dic6—22no—
1199Dic6—22no—
1200Dic6—21no—
1201Dic6—21no—
1202Dic6—21no—
1203Dic6—21no—
1204Dic6—41no—
1205Dic6—41no—
1206Dic6—42no—
1207Dic6—42no—
1208Dic6—81no—
1209Dic6—81no—
1210Dic6—81no—
1211Dic6—81no—
1212Dic6—81no—
1213Dic6—81no—
1214Dic6—81no—
1215Dic6—81no—
1216C3×C8—21no—
1217C3×C8—21no—
1218C3×C8—21no—
1219C3×C8—21no—
1220C3⋊C8—21no—
1221C3⋊C8—21no—
1222C3⋊C8—21no—
1223C3⋊C8—21no—
1224#41—22no—
1225#41—22no—
1226C2×Q8—21no—
1227C2×Q8—31no—
1228C2×Q8—31no—
1229C2×Q8—31no—
1230C2×Q8—31no—
1231C2×Q8—31no—
1232C2×Q8—31no—
1233C2×Q8—61no—
1234C2×Q8—61no—
1235C2×Q8—61no—
1236C2×Q8—61no—
1237C2×Q8—61no—
1238C2×Q8—61no—
1239C2×Q8—61no—
1240C2×Q8—61no—
1241C2×Q8—61no—
1242C2×Q8—61no—
1243C2×Q8—242no—
1244C2×Q8—242no—
1245C2×Q8—242no—
1246C2×Q8C23×D311yescharacteristic
1247C2×Q8C23×D311yescharacteristic
1248C2×D4—21no—
1249C2×D4—21no—
1250C2×D4C23×D311yescharacteristic
1251C2×D4C23×D311yescharacteristic
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—61no—
1260C22×C4—61no—
1261C22×C4—61no—
1262C22×C4—61no—
1263C22×C4—61no—
1264C22×C4—61no—
1265C22×C4—61no—
1266C22×C4C23×D311yescharacteristic
1267Q16—22no—
1268Q16—62no—
1269Q16—62no—
1270SD16—22no—
1271SD16—22no—
1272SD16—62no—
1273SD16—62no—
1274D8—22no—
1275C2×C8—31no—
1276C2×C8—31no—
1277C2×C8—31no—
1278C2×C8—31no—
1279C2×C8C23×D311yescharacteristic
1280C2×C8C23×D311yescharacteristic
1281C2×C8C23×D311yescharacteristic
1282C2×C8C23×D311yescharacteristic
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—31no—
1290C4⋊C4—31no—
1291C4⋊C4—31no—
1292C4⋊C4—31no—
1293C4⋊C4—31no—
1294C4⋊C4—31no—
1295C4⋊C4—31no—
1296C4⋊C4—31no—
1297C4⋊C4—31no—
1298C4⋊C4—31no—
1299C4⋊C4—31no—
1300C4⋊C4—31no—
1301C4⋊C4—31no—
1302C4⋊C4—31no—
1303C4⋊C4—31no—
1304C4⋊C4—31no—
1305C4⋊C4—31no—
1306C4⋊C4—31no—
1307C4⋊C4—31no—
1308C4⋊C4—31no—
1309C4⋊C4—61no—
1310C4⋊C4—61no—
1311C4⋊C4—61no—
1312C4⋊C4—61no—
1313C4⋊C4—61no—
1314C4⋊C4—61no—
1315C4⋊C4—61no—
1316C4⋊C4—61no—
1317C4⋊C4—61no—
1318C4⋊C4—61no—
1319C4⋊C4—61no—
1320C4⋊C4—61no—
1321C4⋊C4—61no—
1322C4⋊C4—61no—
1323C4⋊C4—61no—
1324C4⋊C4—61no—
1325C4⋊C4—61no—
1326C4⋊C4—61no—
1327C4⋊C4—61no—
1328C4⋊C4—61no—
1329C4⋊C4—61no—
1330C4⋊C4—61no—
1331C4⋊C4—61no—
1332C4⋊C4—61no—
1333C4⋊C4—61no—
1334C4⋊C4—61no—
1335C4⋊C4—61no—
1336C4⋊C4—61no—
1337C4⋊C4—61no—
1338C4⋊C4—61no—
1339C4⋊C4—61no—
1340C4⋊C4—61no—
1341C4⋊C4—61no—
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⋊C4D3×D411yescharacteristic
1355C4⋊C4D3×D411yescharacteristic
1356C4⋊C4C23×D311yescharacteristic
1357C4⋊C4C23×D311yescharacteristic
1358C4⋊C4C23×D311yescharacteristic
1359C4⋊C4C23×D311yescharacteristic
1360C22⋊C4—21no—
1361C22⋊C4—21no—
1362C22⋊C4—21no—
1363C22⋊C4—21no—
1364C22⋊C4—21no—
1365C22⋊C4—21no—
1366C22⋊C4—21no—
1367C22⋊C4—31no—
1368C22⋊C4—31no—
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⋊C4—61no—
1379C22⋊C4—61no—
1380C22⋊C4—61no—
1381C22⋊C4—61no—
1382C22⋊C4D3×D411yescharacteristic
1383C22⋊C4D3×D411yescharacteristic
1384C42—21no—
1385C42—21no—
1386C42—21no—
1387C42—31no—
1388C42—31no—
1389C42—31no—
1390C42—31no—
1391C42—31no—
1392C42—31no—
1393C42—61no—
1394C42—61no—
1395C42—61no—
1396C42—61no—
1397C42—61no—
1398C42—61no—
1399C42—61no—
1400C42—61no—
1401C42—61no—
1402C42—61no—
1403C42—61no—
1404C42—61no—
1405C42—61no—
1406C42C23×D311yescharacteristic
1407C42C23×D311yescharacteristic
1408C22×C3—21no—
1409C22×C3—21no—
1410C22×C3—22no—
1411C22×C3—21no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3C23×D411yescharacteristic
1418C3×C4—21no—
1419C3×C4—21no—
1420C3×C4—21no—
1421C3×C4—22no—
1422C3×C4—21no—
1423C3×C4—21no—
1424C3×C4—41no—
1425C3×C4—41no—
1426C3×C4—41no—
1427C3×C4—41no—
1428C3×C4—41no—
1429C3×C4C2×2−1+411yescharacteristic
1430C3×C4C2×2−1+411yescharacteristic
1431Dic3—21no—
1432Dic3—21no—
1433Dic3—21no—
1434Dic3—21no—
1435Dic3—21no—
1436Dic3—21no—
1437Dic3—21no—
1438Dic3—41no—
1439Dic3—41no—
1440Dic3—41no—
1441Dic3—41no—
1442Dic3—41no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3#57712yes—
1447C23—21no—
1448C23—21no—
1449C23C2×D3×D411yescharacteristic
1450Q8—21no—
1451Q8—21no—
1452Q8—21no—
1453Q8—62no—
1454Q8—62no—
1455Q8—61no—
1456Q8—61no—
1457Q8—61no—
1458Q8—61no—
1459Q8—81no—
1460Q8—121no—
1461Q8—121no—
1462Q8—122no—
1463Q8—122no—
1464Q8—241no—
1465Q8—241no—
1466Q8—241no—
1467Q8—241no—
1468Q8—241no—
1469Q8—241no—
1470Q8—241no—
1471Q8—241no—
1472Q8#101012yes—
1473D4—24no—
1474D4—21no—
1475D4—21no—
1476D4—21no—
1477D4—81no—
1478D4#101012yes—
1479C2×C4—24no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—31no—
1489C2×C4—31no—
1490C2×C4—31no—
1491C2×C4—31no—
1492C2×C4—31no—
1493C2×C4—31no—
1494C2×C4—31no—
1495C2×C4—31no—
1496C2×C4—62no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—81no—
1508C2×C4—81no—
1509C2×C4—122no—
1510C2×C4—122no—
1511C2×C4—121no—
1512C2×C4—122no—
1513C2×C4—241no—
1514C2×C4—241no—
1515C2×C4—241no—
1516C2×C4—241no—
1517C2×C4C2×D3×D411yescharacteristic
1518C2×C4C2×D3×D411yescharacteristic
1519C2×C4C2×D3×D411yescharacteristic
1520C2×C4C2×D3×D411yescharacteristic
1521C2×C4C2×D3×D411yescharacteristic
1522C2×C4C24×D311yescharacteristic
1523C8—21no—
1524C8—21no—
1525C8—21no—
1526C8—21no—
1527C8—61no—
1528C8—61no—
1529C8—61no—
1530C8—61no—
1531C2×C3—41no—
1532C2×C3—42no—
1533C2×C3—81no—
1534C2×C3#348611yescharacteristic
1535C2×C3C2×#57711yescharacteristic
1536C2×C3#358611yescharacteristic
1537C22—21no—
1538C22—22no—
1539C22—21no—
1540C22—21no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22C22×D3×D411yescharacteristic
1547C4—21no—
1548C4—22no—
1549C4—21no—
1550C4—21no—
1551C4—21no—
1552C4—21no—
1553C4—32no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—61no—
1560C4—61no—
1561C4—61no—
1562C4—61no—
1563C4—61no—
1564C4—61no—
1565C4—61no—
1566C4—121no—
1567C4—121no—
1568C4—121no—
1569C4—121no—
1570C4—121no—
1571C4—121no—
1572C4—121no—
1573C4—121no—
1574C4C2×#101011yescharacteristic
1575C4C2×#101011yescharacteristic
1576C3#6185811yescharacteristic, complemented, Sylow
1577C2—41no—
1578C2—42no—
1579C2—81no—
1580C2#8602211yescharacteristic
1581C2D3×#57711yescharacteristic
1582C2#8720811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3125C2
socleC22×C3C23×D4
prime radicalC3×#449C22
hypercenter#3125D3
hypocenterC3#61858
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. #86537C2semidirect
2. #85889C2semidirect
4. #83455C2semidirect
5. #82575C2semidirect
6. #81422C2semidirect
7. #81418C2semidirect
8. #81317C2semidirect
9. #81315C2semidirect
10. #81057C2semidirect
11. #81053C2semidirect
12. #81043C2semidirect
13. #81007C2semidirect
14. #80582C2semidirect
15. #80580C2semidirect
16. #80522C2semidirect
17. #80518C2semidirect
18. #80217C2semidirect
19. #80215C2semidirect
22. #79855C2semidirect
23. #79854C2semidirect
24. #79819C2semidirect
25. #79817C2semidirect
26. #79636C2semidirect
27. #79633C2semidirect
28. #79626C2semidirect
29. #79619C2semidirect
30. #79363C2semidirect
31. #79359C2semidirect
1576. C3#61858semidirect

Maximal subgroups

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

subgroupindex
#865372
#858892
C3×#31252
#834552
#825752
#814222
#814182
#813172
#813152
#810572
#810532
#810432
#810072
#805822
#805802
#805222
#805182
#802172
#802152
#800752
#800682
#798552
#798542
#798192
#798172
#796362
#796332
#796262
#796192
#793632
#793592
#618583