Finite Group Databasebeta

← #11675431

Subgroups — #11675431

Order 768.

1724 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#87032C211yesmaximal, characteristic, complemented
2#86983C211yesmaximal, characteristic
3C3×#3377C211yesmaximal, characteristic, complemented
4#83698C211yesmaximal, characteristic, complemented
5#83678C211yesmaximal, characteristic, complemented
6#81739C211yesmaximal, characteristic, complemented
7#81733C211yesmaximal, characteristic, complemented
8#81681C211yesmaximal, characteristic
9#81671C211yesmaximal, characteristic, complemented
10#81639C211yesmaximal, characteristic
11#81634C211yesmaximal, characteristic, complemented
12#81233C211yesmaximal, characteristic, complemented
13#81220C211yesmaximal, characteristic, complemented
14#81165C211yesmaximal, characteristic
15#81155C211yesmaximal, characteristic, complemented
16#81138C211yesmaximal, characteristic, complemented
17#81110C211yesmaximal, characteristic, complemented
18#80601C211yesmaximal, characteristic
19#80601C211yesmaximal, characteristic
20#80582C211yesmaximal, characteristic, complemented
21#80580C211yesmaximal, characteristic, complemented
22D3×#462C211yesmaximal, characteristic, complemented
23#80466C211yesmaximal, characteristic, complemented
24#79983C211yesmaximal, characteristic, complemented
25#79961C211yesmaximal, characteristic, complemented
26#79831C211yesmaximal, characteristic, complemented
27#79817C211yesmaximal, characteristic, complemented
28#79774C211yesmaximal, characteristic
29#79758C211yesmaximal, characteristic, complemented
30#79720C211yesmaximal, characteristic, complemented
31#79699C211yesmaximal, characteristic, complemented
32#61342—31nomaximal, Sylow
33C3×#557C2211yescharacteristic
34C3×#556C2211yescharacteristic
35C2×D3×Q16C2211yescharacteristic
36C2×D3×Q16C2211yescharacteristic
37C2×#915C2211yescharacteristic
38#5729—21no—
39#5729C2211yescharacteristic
40D3×C4⋊Q8C2211yescharacteristic
41#5722—21no—
42#5722C2211yescharacteristic
43#5721C2211yescharacteristic
44#5708—21no—
45#5708—21no—
46#5701—21no—
47#5701—21no—
48#5689—21no—
49#5689C2211yescharacteristic
50#5688—21no—
51#5688C2211yescharacteristic
52#5685—21no—
53#5685—21no—
54#5685C2211yescharacteristic
55#5685C2211yescharacteristic
56#5675C2211yescharacteristic
57#5675C2211yescharacteristic
58#5671C2211yescharacteristic
59#5671C2211yescharacteristic
60#5639—21no—
61#5622—21no—
62#5578—21no—
63#5578C2211yescharacteristic
64#5572C2211yescharacteristic
65#5572C2211yescharacteristic
66#5572C2211yescharacteristic
67#5572C2211yescharacteristic
68C4×D3×Q8C2211yescharacteristic
69#5570C2211yescharacteristic
70#5569C2211yescharacteristic
71#5569C2211yescharacteristic
72#5567—21no—
73#5567C2211yescharacteristic
74#5567C2211yescharacteristic
75#5567C2211yescharacteristic
76Q8×Dic6C2211yescharacteristic
77#5542C2211yescharacteristic
78C4×#237C2211yescharacteristic
79#5529—21no—
80#5517—21no—
81C3×#491C2211yescharacteristic
82C3×#489C2211yescharacteristic
83C3×#488C2211yescharacteristic
84C3×#479C2211yescharacteristic
85C3×#478C2211yescharacteristic
86C3×#477C2211yescharacteristic
87C3×#464C2211yescharacteristic
88C3×#464C2211yescharacteristic
89C3×#462C2211yescharacteristic
90C3×#446C2211yescharacteristic
91C3×#441C2211yescharacteristic
92C3×#440C2211yescharacteristic
93C3×C4×Q16C2211yescharacteristic
94#5184C2211yescharacteristic
95#5182C2211yescharacteristic
96#5182C2211yescharacteristic
97#5182C2211yescharacteristic
98#5182C2211yescharacteristic
99Dic3×Q16C2211yescharacteristic
100#5166C2211yescharacteristic
101#5166C2211yescharacteristic
102Dic3×SD16C2211yescharacteristic
103#5094C2211yescharacteristic
104#5093C2211yescharacteristic
105#5090C2211yescharacteristic
106#5082C2211yescharacteristic
107#5069C2211yescharacteristic
108#5069C2211yescharacteristic
109#5063C2211yescharacteristic
110#5063C2211yescharacteristic
111#5056C2211yescharacteristic
112#5055C2211yescharacteristic
113#5054C2211yescharacteristic
114#5054C2211yescharacteristic
115#5031C2211yescharacteristic
116#5031C2211yescharacteristic
117#5031C2211yescharacteristic
118#5030C2211yescharacteristic
119#5030C2211yescharacteristic
120#5030C2211yescharacteristic
121C4×#216C2211yescharacteristic
122C4×#216C2211yescharacteristic
123#5024C2211yescharacteristic
124#5022C2211yescharacteristic
125#5021C2211yescharacteristic
126#5018C2211yescharacteristic
127#5009C2211yescharacteristic
128#4881C2211yescharacteristic
129#4880C2211yescharacteristic
130#4877C2211yescharacteristic
131#4875C2211yescharacteristic
132#4875C2211yescharacteristic
133#4875C2211yescharacteristic
134#4873C2211yescharacteristic
135#4873C2211yescharacteristic
136#4860C2211yescharacteristic
137#4857C2211yescharacteristic
138#4854C2211yescharacteristic
139#4853C2211yescharacteristic
140#4851C2211yescharacteristic
141#4849C2211yescharacteristic
142#4849C2211yescharacteristic
143#4849C2211yescharacteristic
144#4839C2211yescharacteristic
145#4839C2211yescharacteristic
146D3×C4⋊C8C2211yescharacteristic
147#4830C2211yescharacteristic
148#4829C2211yescharacteristic
149#4829C2211yescharacteristic
150#4828C2211yescharacteristic
151#4828C2211yescharacteristic
152#4802C2211yescharacteristic
153#4802C2211yescharacteristic
154#4802C2211yescharacteristic
155#4802C2211yescharacteristic
156#4802C2211yescharacteristic
157D3×#103C2211yescharacteristic
158D3×#103C2211yescharacteristic
159#4799C2211yescharacteristic
160#4797C2211yescharacteristic
161#4797C2211yescharacteristic
162#4796C2211yescharacteristic
163#4795C2211yescharacteristic
164#4795C2211yescharacteristic
165#4795C2211yescharacteristic
166#4795C2211yescharacteristic
167#4792C2211yescharacteristic
168#4792C2211yescharacteristic
169#4792C2211yescharacteristic
170#4792C2211yescharacteristic
171#4792C2211yescharacteristic
172#4792C2211yescharacteristic
173#4791C2211yescharacteristic
174#4791C2211yescharacteristic
175#4790C2211yescharacteristic
176#4790C2211yescharacteristic
177#4790C2211yescharacteristic
178#4789C2211yescharacteristic
179#4789C2211yescharacteristic
180#4772C2211yescharacteristic
181#4772C2211yescharacteristic
182#4771C2211yescharacteristic
183#4768C2211yescharacteristic
184#4768C2211yescharacteristic
185#4767C2211yescharacteristic
186#4767C2211yescharacteristic
187#4765C2211yescharacteristic
188#4765C2211yescharacteristic
189#4761C2211yescharacteristic
190#4759C2211yescharacteristic
191#4758C2211yescharacteristic
192#4716C2211yescharacteristic
193#4716C2211yescharacteristic
194#4708C2211yescharacteristic
195#4707C2211yescharacteristic
196#4703C2211yescharacteristic
197#4703C2211yescharacteristic
198#4701C2211yescharacteristic
199#4701C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
201#4689C2211yescharacteristic
202#4681C2211yescharacteristic
203C8×Dic6C2211yescharacteristic
204#3509—31no—
205#3502—31no—
206#3377—31no—
207#3377—31no—
208#3377—31no—
209#3377D311yescharacteristic, complemented
210#3374—31no—
211#3374—31no—
212#3374—31no—
213#3374—31no—
214#3374—31no—
215#3374—31no—
216#3369—31no—
217#3369—31no—
218#3364—31no—
219#3364—31no—
220#3363—31no—
221#3363—31no—
222#3139—31no—
223#3137—31no—
224#3137—31no—
225#3082—31no—
226#3082—31no—
227#3076—31no—
228#3044—31no—
229#3044—31no—
230C2×#462—31no—
231#2962—31no—
232#2950—31no—
233#2950—31no—
234C4×#137—31no—
235C2×D3×Q8C2311yescharacteristic
236C2×D3×Q8C2311yescharacteristic
237C2×D3×Q8C2311yescharacteristic
238C2×#237C2311yescharacteristic
239C2×C3×Q16C2311yescharacteristic
240C2×C3×Q16C2311yescharacteristic
241C2×C3×SD16C2311yescharacteristic
242C3×C4⋊Q8—21no—
243C3×C4⋊Q8C2311yescharacteristic
244C3×C4⋊Q8C2311yescharacteristic
245C3×#126—21no—
246C3×#126—21no—
247C3×#125—21no—
248C3×#125—21no—
249C3×#125C2311yescharacteristic
250C3×#125C2311yescharacteristic
251C3×#124C2311yescharacteristic
252C3×#124C2311yescharacteristic
253C3×C22⋊Q8—21no—
254C3×C4×Q8—21no—
255C3×C4×Q8C2311yescharacteristic
256C3×C4×Q8C2311yescharacteristic
257C3×C4×Q8C2311yescharacteristic
258C3×C4×Q8C2311yescharacteristic
259C3×C4×Q8C2311yescharacteristic
260C3×C4×Q8C2311yescharacteristic
261C3×C4×D4C2311yescharacteristic
262C3×#117—21no—
263#946—21no—
264#946D411yescharacteristic
265Q8×Dic3—21no—
266Q8×Dic3C2311yescharacteristic
267Q8×Dic3C2311yescharacteristic
268Q8×Dic3C2311yescharacteristic
269Q8×Dic3C2311yescharacteristic
270Q8×Dic3C2311yescharacteristic
271#944—21no—
272#944—21no—
273#944—21no—
274#944—21no—
275#944D411yescharacteristic
276#944C2311yescharacteristic
277#944C2311yescharacteristic
278#944C2311yescharacteristic
279#944C2311yescharacteristic
280C2×#216C2311yescharacteristic
281C2×#216C2311yescharacteristic
282C2×#216C2311yescharacteristic
283C2×#216C2311yescharacteristic
284C2×#216C2311yescharacteristic
285#936C2311yescharacteristic
286#936C2311yescharacteristic
287D4×Dic3C2311yescharacteristic
288C2×#214C2311yescharacteristic
289C4×#67—21no—
290#926—21no—
291#924—21no—
292C2×C4×Dic3—21no—
293D3×Q16—24no—
294D3×Q16—24no—
295#915—24no—
296C2×Dic12C2311yescharacteristic
297C2×Dic12C2311yescharacteristic
298C2×Dic12C2311yescharacteristic
299C2×ΓL(1,𝔽25)C2311yescharacteristic
300C2×ΓL(1,𝔽25)C2311yescharacteristic
301C2×D3×C8C2311yescharacteristic
302C2×D3×C8C2311yescharacteristic
303#897—21no—
304#897D411yescharacteristic
305#896—21no—
306#896—21no—
307#896—21no—
308#896—21no—
309#896D411yescharacteristic
310#896D411yescharacteristic
311#892—21no—
312#892—21no—
313#892—21no—
314#892—21no—
315#892C2311yescharacteristic
316#892C2311yescharacteristic
317#892C2311yescharacteristic
318D3×C4⋊C4—21no—
319D3×C4⋊C4—21no—
320D3×C4⋊C4—21no—
321D3×C4⋊C4C2311yescharacteristic
322#890—21no—
323#890—21no—
324#890—21no—
325#890—21no—
326#890—21no—
327#890—21no—
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#889—21no—
339#889—21no—
340#889—21no—
341#889—21no—
342#889—21no—
343#889—21no—
344#889D411yescharacteristic
345#889D411yescharacteristic
346#888—21no—
347#888—21no—
348#888—21no—
349#888—21no—
350#888—21no—
351#888—21no—
352#888—21no—
353#888—21no—
354#888—21no—
355#888—21no—
356#888D411yescharacteristic
357#888C2311yescharacteristic
358#888C2311yescharacteristic
359#888C2311yescharacteristic
360#888C2311yescharacteristic
361#887—21no—
362#887—21no—
363#887—21no—
364#887—21no—
365#887—21no—
366#887—21no—
367#887—21no—
368#887—21no—
369#887—21no—
370#887—21no—
371#887—21no—
372#887—21no—
373#887C2311yescharacteristic
374#887C2311yescharacteristic
375#887C2311yescharacteristic
376#887C2311yescharacteristic
377#887C2311yescharacteristic
378#887C2311yescharacteristic
379#883—21no—
380#883—21no—
381#883—21no—
382#883—21no—
383#67⋊C4—21no—
384#879—21no—
385#879—21no—
386#879—21no—
387#879—21no—
388#879—21no—
389#879—21no—
390#878—21no—
391#878—21no—
392#878—21no—
393#878—21no—
394#878—21no—
395#878—21no—
396#877—21no—
397#877—21no—
398#877—21no—
399#872—21no—
400#872—21no—
401#872—21no—
402#872—21no—
403#872C2311yescharacteristic
404#872C2311yescharacteristic
405C42×D3—21no—
406C42×D3C2311yescharacteristic
407#870—21no—
408#870—21no—
409#870—21no—
410#870—21no—
411#870C2311yescharacteristic
412#870C2311yescharacteristic
413#869—21no—
414#869C2311yescharacteristic
415#869C2311yescharacteristic
416#869C2311yescharacteristic
417#869C2311yescharacteristic
418C4×Dic6—21no—
419C4×Dic6—21no—
420C4×Dic6—21no—
421C4×Dic6—21no—
422C4×Dic6—21no—
423C4×Dic6—21no—
424C4×Dic6—21no—
425C4×Dic6—21no—
426C4×Dic6—21no—
427C4×Dic6—21no—
428C4×Dic6C2311yescharacteristic
429C4×Dic6C2311yescharacteristic
430C4×Dic6C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C4×Dic6C2311yescharacteristic
433C4×Dic6C2311yescharacteristic
434C4×Dic6C2311yescharacteristic
435C4×Dic6C2311yescharacteristic
436C4×Dic6C2311yescharacteristic
437C3×#107C2311yescharacteristic
438C3×#107C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×C4⋊C8C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×C4⋊C8C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#103C2311yescharacteristic
447C3×#103C2311yescharacteristic
448C3×#103C2311yescharacteristic
449C3×#103C2311yescharacteristic
450C3×#102C2311yescharacteristic
451C3×#102C2311yescharacteristic
452C3×#102C2311yescharacteristic
453C3×#97C2311yescharacteristic
454C3×#97C2311yescharacteristic
455C3×C4×C8C2311yescharacteristic
456#835C2311yescharacteristic
457#835C2311yescharacteristic
458#835C2311yescharacteristic
459#835C2311yescharacteristic
460#835C2311yescharacteristic
461#835C2311yescharacteristic
462#835C2311yescharacteristic
463#832C2311yescharacteristic
464#832C2311yescharacteristic
465#832C2311yescharacteristic
466#818C2311yescharacteristic
467#817C2311yescharacteristic
468#817C2311yescharacteristic
469#816C2311yescharacteristic
470#816C2311yescharacteristic
471#816C2311yescharacteristic
472#816C2311yescharacteristic
473#816C2311yescharacteristic
474#816C2311yescharacteristic
475#816C2311yescharacteristic
476#816C2311yescharacteristic
477#816C2311yescharacteristic
478#816C2311yescharacteristic
479#815C2311yescharacteristic
480#815C2311yescharacteristic
481Dic3⋊C8C2311yescharacteristic
482Dic3⋊C8C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487C8×Dic3C2311yescharacteristic
488C8×Dic3C2311yescharacteristic
489C8×Dic3C2311yescharacteristic
490C8×Dic3C2311yescharacteristic
491#810C2311yescharacteristic
492#810C2311yescharacteristic
493#810C2311yescharacteristic
494#810C2311yescharacteristic
495#810C2311yescharacteristic
496#810C2311yescharacteristic
497#810C2311yescharacteristic
498#810C2311yescharacteristic
499#810C2311yescharacteristic
500#810C2311yescharacteristic
501#808C2311yescharacteristic
502#808C2311yescharacteristic
503#808C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506#807C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509C4⋊(C3⋊C8)C2311yescharacteristic
510#803C2311yescharacteristic
511#803C2311yescharacteristic
512C4×C3⋊C8C2311yescharacteristic
513C2×#137—31no—
514C22×Q16—31no—
515C22×Q16—31no—
516Q82—31no—
517Q82—31no—
518Q82—61no—
519#557—31no—
520#557—31no—
521#557—31no—
522#557—31no—
523#557—31no—
524#557—31no—
525#557—31no—
526#557—31no—
527#557—31no—
528#557—61no—
529#557—61no—
530#557—61no—
531#557C2×D311yescharacteristic
532#556—31no—
533#556—31no—
534#556—31no—
535#556C2×D311yescharacteristic
536#552—61no—
537#552—61no—
538#552—61no—
539#552—61no—
540#544—31no—
541#544—31no—
542#544—61no—
543#544—61no—
544#541—61no—
545#541—61no—
546#536—31no—
547#536—31no—
548#533—31no—
549#533—31no—
550#533—61no—
551#533—61no—
552#533—61no—
553#533—61no—
554C2×C4⋊Q8—31no—
555#519—31no—
556#519—31no—
557#519—31no—
558#519—31no—
559C4×#41—31no—
560C2×C4×Q8—31no—
561#491—31no—
562#491—31no—
563#491—31no—
564#491—31no—
565#491—31no—
566#491—31no—
567#491—31no—
568#491C2×D311yescharacteristic
569#489—31no—
570#489—31no—
571#489—31no—
572#489C2×D311yescharacteristic
573#488—31no—
574#488—31no—
575#488—31no—
576#488C2×D311yescharacteristic
577#487—31no—
578#487—31no—
579#487—31no—
580#487—31no—
581#487—31no—
582#487—31no—
583#487—31no—
584#487—31no—
585#479—31no—
586#479—31no—
587#479—31no—
588#479—31no—
589#479—31no—
590#479—31no—
591#479—31no—
592#479—31no—
593#479—31no—
594#479C2×D311yescharacteristic
595#478—31no—
596#478C2×D311yescharacteristic
597#477—31no—
598#477—31no—
599#477—31no—
600#477—31no—
601#477C2×D311yescharacteristic
602#476—31no—
603#475—31no—
604#475—31no—
605#475—31no—
606#475—31no—
607#475—31no—
608#474—31no—
609#464—31no—
610#464—31no—
611#464—31no—
612#464—31no—
613#464—31no—
614#464—31no—
615#464C2×D311yescharacteristic
616#464C2×D311yescharacteristic
617#462—31no—
618#462—31no—
619#462—31no—
620#462—31no—
621#462—31no—
622#462—31no—
623#462—31no—
624#462—31no—
625#462—31no—
626#462—31no—
627#462—31no—
628#462—31no—
629#462—31no—
630#462—31no—
631#462—31no—
632#462C2×D311yescharacteristic
633#446—31no—
634#446—31no—
635#446—31no—
636#446—31no—
637#446—31no—
638#446C2×D311yescharacteristic
639C8×Q8—31no—
640C8×Q8—31no—
641#441—31no—
642#441—31no—
643#441—31no—
644#441—31no—
645#441—31no—
646#441—31no—
647#441—31no—
648#441—31no—
649#441—31no—
650#441C2×D311yescharacteristic
651#440—31no—
652#440C2×D311yescharacteristic
653C4×Q16—31no—
654C4×Q16—31no—
655C4×Q16—31no—
656C4×Q16—31no—
657C4×Q16—31no—
658C4×Q16—31no—
659C4×Q16—31no—
660C4×Q16—31no—
661C4×Q16—31no—
662C4×Q16C2×D311yescharacteristic
663C4×SD16—31no—
664C4×SD16—31no—
665#428—31no—
666#427—31no—
667#427—31no—
668#424—31no—
669#424—31no—
670C2×C4⋊C8—31no—
671#419—31no—
672#419—31no—
673#419—31no—
674#419—31no—
675#419—31no—
676#417—31no—
677#416—31no—
678#416—31no—
679C2×#103—31no—
680C2×#103—31no—
681#405—31no—
682#405—31no—
683C4×M16—31no—
684C2×C3×Q8—21no—
685C2×C3×Q8C2×D411yescharacteristic
686C2×C3×Q8C2411yescharacteristic
687C2×C3×Q8C2411yescharacteristic
688C2×C3×Q8C2411yescharacteristic
689C2×C3×D4C2411yescharacteristic
690C22×C3×C4—21no—
691C2×#67—21no—
692C22×Dic3—21no—
693C22×Dic3—21no—
694D3×Q8—22no—
695D3×Q8—22no—
696D3×Q8—22no—
697D3×Q8—22no—
698D3×Q8—22no—
699D3×Q8#4114yes—
700#237—22no—
701#237—22no—
702C2×C4×D3—21no—
703C2×C4×D3—21no—
704C2×C4×D3—21no—
705C2×C4×D3—21no—
706C2×C4×D3C2×D411yescharacteristic
707C2×C4×D3C2×D411yescharacteristic
708C2×C4×D3C2411yescharacteristic
709C2×Dic6—21no—
710C2×Dic6—21no—
711C2×Dic6—21no—
712C2×Dic6—21no—
713C2×Dic6—21no—
714C2×Dic6—21no—
715C2×Dic6—21no—
716C2×Dic6—21no—
717C2×Dic6C2×D411yescharacteristic
718C2×Dic6C2×D411yescharacteristic
719C2×Dic6C2×D411yescharacteristic
720C2×Dic6C2411yescharacteristic
721C2×Dic6C2411yescharacteristic
722C2×Dic6C2411yescharacteristic
723C2×Dic6C2411yescharacteristic
724C3×Q16—22no—
725C3×Q16—22no—
726C3×SD16—22no—
727C2×C3×C8C2411yescharacteristic
728C2×C3×C8C2411yescharacteristic
729C2×C3×C8C2411yescharacteristic
730C2×C3×C8C2411yescharacteristic
731C3×C4⋊C4—21no—
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⋊C4—21no—
739C3×C4⋊C4—21no—
740C3×C4⋊C4—21no—
741C3×C4⋊C4—21no—
742C3×C4⋊C4—21no—
743C3×C4⋊C4C2×D411yescharacteristic
744C3×C4⋊C4C2×D411yescharacteristic
745C3×C4⋊C4C2×D411yescharacteristic
746C3×C4⋊C4C2411yescharacteristic
747C3×C4⋊C4C2411yescharacteristic
748C3×C4⋊C4C2411yescharacteristic
749C3×C4⋊C4C2411yescharacteristic
750C3×C22⋊C4—21no—
751C3×C22⋊C4—21no—
752C3×C22⋊C4—21no—
753C3×C22⋊C4—21no—
754C3×C22⋊C4—21no—
755C3×C42—21no—
756C3×C42—21no—
757C3×C42—21no—
758C3×C42—21no—
759C3×C42—21no—
760C3×C42C2411yescharacteristic
761C3×C42C2411yescharacteristic
762C3×C42C2411yescharacteristic
763#217—21no—
764#217—21no—
765#217—21no—
766#217—21no—
767#217—21no—
768#216—22no—
769#216—22no—
770#216—22no—
771#216—22no—
772#216—22no—
773#214—22no—
774(C2×D3)⋊C4—21no—
775(C2×D3)⋊C4—21no—
776(C2×D3)⋊C4—21no—
777(C2×D3)⋊C4C2×D411yescharacteristic
778(C2×D3)⋊C4C2×D411yescharacteristic
779(C2×D3)⋊C4C2×D411yescharacteristic
780(C2×D3)⋊C4C2×D411yescharacteristic
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⋊Dic3—21no—
793C4⋊Dic3—21no—
794C4⋊Dic3—21no—
795C4⋊Dic3C2×D411yescharacteristic
796C4⋊Dic3C2×D411yescharacteristic
797C4⋊Dic3C2×D411yescharacteristic
798C4⋊Dic3C2411yescharacteristic
799C4⋊Dic3C2411yescharacteristic
800C4⋊Dic3C2411yescharacteristic
801C4⋊Dic3C2411yescharacteristic
802Dic3⋊C4—21no—
803Dic3⋊C4—21no—
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⋊C4C2×D411yescharacteristic
834Dic3⋊C4C2×D411yescharacteristic
835Dic3⋊C4C2×D411yescharacteristic
836Dic3⋊C4C2×D411yescharacteristic
837Dic3⋊C4C2×D411yescharacteristic
838Dic3⋊C4C2×D411yescharacteristic
839Dic3⋊C4C2×D411yescharacteristic
840Dic3⋊C4C2×D411yescharacteristic
841Dic3⋊C4C2×D411yescharacteristic
842Dic3⋊C4C2×D411yescharacteristic
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×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
867C4×Dic3C2411yescharacteristic
868C2×C3⋊C8C2411yescharacteristic
869C2×C3⋊C8C2411yescharacteristic
870C2×C3⋊C8C2411yescharacteristic
871C2×C3⋊C8C2411yescharacteristic
872Dic12—22no—
873Dic12—22no—
874Dic12—22no—
875ΓL(1,𝔽25)—22no—
876ΓL(1,𝔽25)—22no—
877D3×C8—22no—
878D3×C8—22no—
879C2×#41—31no—
880C22×Q8—31no—
881C22×Q8—31no—
882C22×Q8—31no—
883#137—64no—
884C2×Q16—31no—
885C2×Q16—31no—
886C2×Q16—31no—
887C2×Q16—31no—
888C2×Q16—31no—
889C2×Q16—31no—
890C2×Q16—31no—
891C2×Q16—31no—
892C2×Q16—64no—
893C2×Q16—64no—
894C2×Q16C22×D311yescharacteristic
895C2×Q16C22×D311yescharacteristic
896C2×SD16—31no—
897C2×SD16C22×D311yescharacteristic
898C2×M16—31no—
899C2×M16—31no—
900C22×C8—31no—
901C22×C8—31no—
902C4⋊Q8—21no—
903C4⋊Q8—31no—
904C4⋊Q8—31no—
905C4⋊Q8—31no—
906C4⋊Q8—31no—
907C4⋊Q8—31no—
908C4⋊Q8—31no—
909C4⋊Q8—31no—
910C4⋊Q8—31no—
911C4⋊Q8—31no—
912C4⋊Q8—31no—
913C4⋊Q8—31no—
914C4⋊Q8—31no—
915C4⋊Q8—31no—
916C4⋊Q8—31no—
917C4⋊Q8—61no—
918C4⋊Q8—61no—
919C4⋊Q8—61no—
920C4⋊Q8—61no—
921C4⋊Q8—61no—
922C4⋊Q8—61no—
923C4⋊Q8—61no—
924C4⋊Q8—61no—
925C4⋊Q8—61no—
926C4⋊Q8—61no—
927C4⋊Q8—61no—
928C4⋊Q8—61no—
929C4⋊Q8—61no—
930C4⋊Q8—61no—
931C4⋊Q8—61no—
932C4⋊Q8C22×D311yescharacteristic
933C4⋊Q8C22×D311yescharacteristic
934#126—21no—
935#126—21no—
936#126—61no—
937#126—61no—
938#126—61no—
939#126—61no—
940#126—61no—
941#126—61no—
942#125—21no—
943#125—21no—
944#125—31no—
945#125—31no—
946#125—31no—
947#125—31no—
948#125—31no—
949#125—31no—
950#125—61no—
951#125—61no—
952#125—61no—
953#125—61no—
954#125—61no—
955#125—61no—
956#125—61no—
957#125—61no—
958#125—61no—
959#125—61no—
960#125—61no—
961#125—61no—
962#125—61no—
963#125—61no—
964#125—61no—
965#125—61no—
966#125—61no—
967#125—61no—
968#125—61no—
969#125—61no—
970#125—61no—
971#125—61no—
972#125—61no—
973#125—61no—
974#125C22×D311yescharacteristic
975#125C22×D311yescharacteristic
976#124—31no—
977#124—31no—
978#124C22×D311yescharacteristic
979#124C22×D311yescharacteristic
980#123—61no—
981#123—61no—
982#123—61no—
983#123—61no—
984C22⋊Q8—21no—
985C22⋊Q8—31no—
986C22⋊Q8—31no—
987C22⋊Q8—31no—
988C22⋊Q8—31no—
989C22⋊Q8—61no—
990C22⋊Q8—61no—
991C22⋊Q8—61no—
992C22⋊Q8—61no—
993C22⋊Q8—61no—
994C22⋊Q8—61no—
995C22⋊Q8—61no—
996C22⋊Q8—61no—
997C22⋊Q8—61no—
998C22⋊Q8—61no—
999C22⋊Q8—61no—
1000C22⋊Q8—61no—
1001C22⋊Q8—61no—
1002C4×Q8—21no—
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—31no—
1013C4×Q8—31no—
1014C4×Q8—31no—
1015C4×Q8—31no—
1016C4×Q8—31no—
1017C4×Q8—31no—
1018C4×Q8—31no—
1019C4×Q8—31no—
1020C4×Q8—31no—
1021C4×Q8—31no—
1022C4×Q8—31no—
1023C4×Q8—61no—
1024C4×Q8—61no—
1025C4×Q8—61no—
1026C4×Q8—61no—
1027C4×Q8—61no—
1028C4×Q8—61no—
1029C4×Q8—61no—
1030C4×Q8—61no—
1031C4×Q8—61no—
1032C4×Q8—61no—
1033C4×Q8—61no—
1034C4×Q8—61no—
1035C4×Q8—61no—
1036C4×Q8—61no—
1037C4×Q8—61no—
1038C4×Q8—61no—
1039C4×Q8—61no—
1040C4×Q8—61no—
1041C4×Q8—61no—
1042C4×Q8—61no—
1043C4×Q8—61no—
1044C4×Q8—61no—
1045C4×Q8—61no—
1046C4×Q8C22×D311yescharacteristic
1047C4×Q8C22×D311yescharacteristic
1048C4×Q8C22×D311yescharacteristic
1049C4×Q8C22×D311yescharacteristic
1050C4×Q8C22×D311yescharacteristic
1051C4×Q8C22×D311yescharacteristic
1052C4×D4—31no—
1053C4×D4—61no—
1054C4×D4—61no—
1055C4×D4C22×D311yescharacteristic
1056#117—21no—
1057#117—31no—
1058#117—31no—
1059#117—31no—
1060#117—31no—
1061#117—31no—
1062#117—61no—
1063#117—61no—
1064#117—61no—
1065#117—61no—
1066#117—61no—
1067#117—61no—
1068#117—61no—
1069#117—61no—
1070#117—61no—
1071#117—61no—
1072#117—61no—
1073#117—61no—
1074C2×C4⋊C4—31no—
1075C2×C4⋊C4—61no—
1076C2×C4⋊C4—61no—
1077C2×C4⋊C4—61no—
1078C2×C42—31no—
1079C2×C42—61no—
1080C2×C42—61no—
1081#107—31no—
1082#107—31no—
1083#107—31no—
1084#107—31no—
1085#107C22×D311yescharacteristic
1086#107C22×D311yescharacteristic
1087#106—31no—
1088#106—31no—
1089#106—31no—
1090#106—31no—
1091#106—31no—
1092#106C22×D311yescharacteristic
1093C4⋊C8—31no—
1094C4⋊C8—31no—
1095C4⋊C8—31no—
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
1105#103—31no—
1106#103—31no—
1107#103—31no—
1108#103—31no—
1109#103—31no—
1110#103—31no—
1111#103—31no—
1112#103—31no—
1113#103—31no—
1114#103—31no—
1115#103—31no—
1116#103—31no—
1117#103—31no—
1118#103—31no—
1119#103—31no—
1120#103—31no—
1121#103—31no—
1122#103—31no—
1123#103—31no—
1124#103—31no—
1125#103—31no—
1126#103—31no—
1127#103—31no—
1128#103—31no—
1129#103—31no—
1130#103—31no—
1131#103—31no—
1132#103C22×D311yescharacteristic
1133#103C22×D311yescharacteristic
1134#103C22×D311yescharacteristic
1135#103C22×D311yescharacteristic
1136#103C22×D311yescharacteristic
1137#103C22×D311yescharacteristic
1138#103C22×D311yescharacteristic
1139#102—31no—
1140#102—31no—
1141#102—31no—
1142#102C22×D311yescharacteristic
1143#102C22×D311yescharacteristic
1144#102C22×D311yescharacteristic
1145#97—31no—
1146#97—31no—
1147#97—31no—
1148#97—31no—
1149#97C22×D311yescharacteristic
1150#97C22×D311yescharacteristic
1151C4×C8—31no—
1152C4×C8—31no—
1153C4×C8—31no—
1154C4×C8—31no—
1155C4×C8—31no—
1156C4×C8C22×D311yescharacteristic
1157C23×C3—21no—
1158C22×D3C22×D411yescharacteristic
1159C3×Q8—21no—
1160C3×Q8—21no—
1161C3×Q8—21no—
1162C3×Q8—21no—
1163C3×Q8—21no—
1164C3×Q8—41no—
1165C3×Q8—81no—
1166C3×Q8C2×#4112yes—
1167C3×D4—21no—
1168C3×D4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—42no—
1177C2×C3×C4C22×D411yescharacteristic
1178C2×C3×C4C22×D411yescharacteristic
1179C2×C3×C4C22×D411yescharacteristic
1180C2×C3×C4C22×D411yescharacteristic
1181C2×C3×C4C22×D411yescharacteristic
1182C2×C3×C4C22×D411yescharacteristic
1183C2×C3×C4C2511yescharacteristic
1184#67—42no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—42no—
1194C2×Dic3—42no—
1195C2×Dic3C22×D411yescharacteristic
1196C2×Dic3C22×D411yescharacteristic
1197C2×Dic3C22×D411yescharacteristic
1198C2×Dic3C22×D411yescharacteristic
1199C2×Dic3C22×D411yescharacteristic
1200C2×Dic3C22×D411yescharacteristic
1201C2×Dic3C22×D411yescharacteristic
1202C4×D3—24no—
1203C4×D3—22no—
1204C4×D3—41no—
1205C4×D3—42no—
1206C4×D3—42no—
1207C4×D3—81no—
1208C4×D3C2×#4112yes—
1209C4×D32−1+412yes—
1210Dic6—21no—
1211Dic6—24no—
1212Dic6—22no—
1213Dic6—22no—
1214Dic6—21no—
1215Dic6—21no—
1216Dic6—21no—
1217Dic6—21no—
1218Dic6—21no—
1219Dic6—21no—
1220Dic6—41no—
1221Dic6—42no—
1222Dic6—42no—
1223Dic6—42no—
1224Dic6—81no—
1225Dic6—81no—
1226Dic6—81no—
1227Dic6—81no—
1228Dic6C2×#4112yes—
1229C3×C8—21no—
1230C3×C8—21no—
1231C3×C8—21no—
1232C3×C8—21no—
1233C3⋊C8—21no—
1234C3⋊C8—21no—
1235C3⋊C8—21no—
1236C3⋊C8—21no—
1237#41—62no—
1238#41—62no—
1239C2×Q8—21no—
1240C2×Q8—31no—
1241C2×Q8—31no—
1242C2×Q8—31no—
1243C2×Q8—34no—
1244C2×Q8—31no—
1245C2×Q8—31no—
1246C2×Q8—31no—
1247C2×Q8—31no—
1248C2×Q8—61no—
1249C2×Q8—61no—
1250C2×Q8—61no—
1251C2×Q8—61no—
1252C2×Q8—61no—
1253C2×Q8—61no—
1254C2×Q8—61no—
1255C2×Q8—62no—
1256C2×Q8—62no—
1257C2×Q8—62no—
1258C2×Q8—62no—
1259C2×Q8—62no—
1260C2×Q8—61no—
1261C2×Q8D3×D411yescharacteristic
1262C2×Q8C23×D311yescharacteristic
1263C2×Q8C23×D311yescharacteristic
1264C2×Q8C23×D311yescharacteristic
1265C2×D4—61no—
1266C2×D4C23×D311yescharacteristic
1267C22×C4—21no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—31no—
1271C22×C4—61no—
1272C22×C4—61no—
1273C22×C4—61no—
1274C22×C4—61no—
1275C22×C4—61no—
1276C22×C4—61no—
1277Q16—22no—
1278Q16—22no—
1279Q16—62no—
1280Q16—62no—
1281Q16—62no—
1282Q16—62no—
1283Q16—62no—
1284Q16—62no—
1285Q16—62no—
1286Q16—62no—
1287SD16—22no—
1288SD16—62no—
1289M16—62no—
1290M16—62no—
1291C2×C8—31no—
1292C2×C8—31no—
1293C2×C8—31no—
1294C2×C8—31no—
1295C2×C8—62no—
1296C2×C8—62no—
1297C2×C8C23×D311yescharacteristic
1298C2×C8C23×D311yescharacteristic
1299C2×C8C23×D311yescharacteristic
1300C2×C8C23×D311yescharacteristic
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—31no—
1314C4⋊C4—31no—
1315C4⋊C4—31no—
1316C4⋊C4—31no—
1317C4⋊C4—31no—
1318C4⋊C4—31no—
1319C4⋊C4—31no—
1320C4⋊C4—31no—
1321C4⋊C4—31no—
1322C4⋊C4—31no—
1323C4⋊C4—31no—
1324C4⋊C4—31no—
1325C4⋊C4—31no—
1326C4⋊C4—31no—
1327C4⋊C4—31no—
1328C4⋊C4—31no—
1329C4⋊C4—31no—
1330C4⋊C4—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⋊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⋊C4D3×D411yescharacteristic
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—31no—
1388C22⋊C4—31no—
1389C22⋊C4—31no—
1390C22⋊C4—31no—
1391C22⋊C4—61no—
1392C22⋊C4—61no—
1393C22⋊C4—61no—
1394C22⋊C4—61no—
1395C22⋊C4—61no—
1396C22⋊C4—61no—
1397C22⋊C4—61no—
1398C22⋊C4—61no—
1399C42—21no—
1400C42—21no—
1401C42—21no—
1402C42—21no—
1403C42—21no—
1404C42—31no—
1405C42—31no—
1406C42—31no—
1407C42—31no—
1408C42—31no—
1409C42—61no—
1410C42—61no—
1411C42—61no—
1412C42—61no—
1413C42—61no—
1414C42—61no—
1415C42—61no—
1416C42—61no—
1417C42—61no—
1418C42—61no—
1419C42—61no—
1420C42—61no—
1421C42—61no—
1422C42—61no—
1423C42—61no—
1424C42—61no—
1425C42—61no—
1426C42—61no—
1427C42—61no—
1428C42—61no—
1429C42C23×D311yescharacteristic
1430C42C23×D311yescharacteristic
1431C42C23×D311yescharacteristic
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3C23×D411yescharacteristic
1436C2×D3—21no—
1437C2×D3—21no—
1438C2×D3#54812yes—
1439C3×C4—21no—
1440C3×C4—21no—
1441C3×C4—21no—
1442C3×C4—22no—
1443C3×C4—21no—
1444C3×C4—21no—
1445C3×C4—21no—
1446C3×C4—41no—
1447C3×C4—41no—
1448C3×C4—41no—
1449C3×C4—41no—
1450C3×C4—41no—
1451C3×C4—41no—
1452C3×C4C22×#4111yescharacteristic
1453C3×C4C2×2−1+411yescharacteristic
1454Dic3—21no—
1455Dic3—21no—
1456Dic3—21no—
1457Dic3—22no—
1458Dic3—21no—
1459Dic3—21no—
1460Dic3—41no—
1461Dic3—41no—
1462Dic3—41no—
1463Dic3—41no—
1464Dic3—41no—
1465Dic3—41no—
1466Dic3—41no—
1467Dic3#54812yes—
1468Dic3#57812yes—
1469C23—21no—
1470C23—31no—
1471Q8—21no—
1472Q8—21no—
1473Q8—21no—
1474Q8—21no—
1475Q8—21no—
1476Q8—32no—
1477Q8—41no—
1478Q8—64no—
1479Q8—62no—
1480Q8—62no—
1481Q8—61no—
1482Q8—61no—
1483Q8—61no—
1484Q8—61no—
1485Q8—61no—
1486Q8—61no—
1487Q8—61no—
1488Q8—81no—
1489Q8—121no—
1490Q8—122no—
1491Q8—122no—
1492Q8—122no—
1493Q8—241no—
1494Q8—241no—
1495Q8—241no—
1496Q8—241no—
1497Q8D3×#4112yes—
1498D4—21no—
1499D4—21no—
1500D4—122no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—31no—
1509C2×C4—31no—
1510C2×C4—32no—
1511C2×C4—32no—
1512C2×C4—31no—
1513C2×C4—31no—
1514C2×C4—31no—
1515C2×C4—31no—
1516C2×C4—31no—
1517C2×C4—42no—
1518C2×C4—62no—
1519C2×C4—64no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—121no—
1529C2×C4—122no—
1530C2×C4—122no—
1531C2×C4—122no—
1532C2×C4—122no—
1533C2×C4—241no—
1534C2×C4C2×D3×D411yescharacteristic
1535C2×C4C2×D3×D411yescharacteristic
1536C2×C4C2×D3×D411yescharacteristic
1537C2×C4C2×D3×D411yescharacteristic
1538C2×C4C2×D3×D411yescharacteristic
1539C2×C4C2×D3×D411yescharacteristic
1540C2×C4C24×D311yescharacteristic
1541C8—21no—
1542C8—21no—
1543C8—21no—
1544C8—21no—
1545C8—61no—
1546C8—61no—
1547C8—61no—
1548C8—61no—
1549C2×C3—81no—
1550C2×C3C2×#54811yescharacteristic
1551C2×C3C2×#57811yescharacteristic
1552C2×C3#358611yescharacteristic
1553D3—22no—
1554C22—32no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—61no—
1559C22—61no—
1560C22C22×D3×D411yescharacteristic
1561C4—21no—
1562C4—21no—
1563C4—21no—
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—22no—
1568C4—32no—
1569C4—32no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—61no—
1577C4—61no—
1578C4—61no—
1579C4—61no—
1580C4—61no—
1581C4—62no—
1582C4—121no—
1583C4—121no—
1584C4—121no—
1585C4—121no—
1586C4—121no—
1587C4—121no—
1588C4—121no—
1589C4C2×D3×#4111yescharacteristic
1590C4D3×2−1+411yescharacteristic
1591C3#6134211yescharacteristic, complemented, Sylow
1592C2—62no—
1593C2—81no—
1594C2D3×#54811yescharacteristic
1595C2#8720111yescharacteristic
1596C2D3×#57811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3377C2
socleC22×C3C23×D4
prime radicalC2×#237C23
hypercenter#3377D3
hypocenterC3#61342
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3377

Complements

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

NH ≅ G/Ntype
1. #87032C2semidirect
3. C3×#3377C2semidirect
4. #83698C2semidirect
5. #83678C2semidirect
6. #81739C2semidirect
7. #81733C2semidirect
9. #81671C2semidirect
11. #81634C2semidirect
12. #81233C2semidirect
13. #81220C2semidirect
15. #81155C2semidirect
16. #81138C2semidirect
17. #81110C2semidirect
20. #80582C2semidirect
21. #80580C2semidirect
22. D3×#462C2semidirect
23. #80466C2semidirect
24. #79983C2semidirect
25. #79961C2semidirect
26. #79831C2semidirect
27. #79817C2semidirect
29. #79758C2semidirect
30. #79720C2semidirect
31. #79699C2semidirect
209. #3377D3semidirect
1591. C3#61342semidirect

Maximal subgroups

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

subgroupindex
#870322
#869832
C3×#33772
#836982
#836782
#817392
#817332
#816812
#816712
#816392
#816342
#812332
#812202
#811652
#811552
#811382
#811102
#806012
#805822
#805802
D3×#4622
#804662
#799832
#799612
#798312
#798172
#797742
#797582
#797202
#796992
#613423