Finite Group Databasebeta

← #11664217

Subgroups — #11664217

Order 768.

1990 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86510C211yesmaximal, characteristic, complemented
2#85873C211yesmaximal, characteristic
3C3×#3127C211yesmaximal, characteristic, complemented
4#83446C211yesmaximal, characteristic, complemented
5#82555C211yesmaximal, characteristic, complemented
6#81519C211yesmaximal, characteristic, complemented
7#81518C211yesmaximal, characteristic, complemented
8#81495C211yesmaximal, characteristic, complemented
9#81493C211yesmaximal, characteristic, complemented
10#81230C211yesmaximal, characteristic, complemented
11#81229C211yesmaximal, characteristic, complemented
12#81211C211yesmaximal, characteristic, complemented
13#81209C211yesmaximal, characteristic, complemented
14#80477C211yesmaximal, characteristic, complemented
15D3×#462C211yesmaximal, characteristic, complemented
16#80461C211yesmaximal, characteristic, complemented
17#80460C211yesmaximal, characteristic, complemented
18#80185C211yesmaximal, characteristic
19#80185C211yesmaximal, characteristic
20#80174C211yesmaximal, characteristic, complemented
21#80172C211yesmaximal, characteristic, complemented
22#79848C211yesmaximal, characteristic, complemented
23#79833C211yesmaximal, characteristic, complemented
24#79831C211yesmaximal, characteristic, complemented
25#79830C211yesmaximal, characteristic, complemented
26#79747C211yesmaximal, characteristic, complemented
27#79722C211yesmaximal, characteristic, complemented
28#79720C211yesmaximal, characteristic, complemented
29#79719C211yesmaximal, characteristic, complemented
30#79385C211yesmaximal, characteristic, complemented
31#79375C211yesmaximal, characteristic, complemented
32#60594—31nomaximal, Sylow
33C2×#1007C2211yescharacteristic
34C3×#541C2211yescharacteristic
35C3×#519C2211yescharacteristic
36C2×Q8×Dic3C2211yescharacteristic
37C2×#918C2211yescharacteristic
38C2×#918C2211yescharacteristic
39C2×D3×Q16C2211yescharacteristic
40C2×D3×Q16C2211yescharacteristic
41#5731C2211yescharacteristic
42D3×C4⋊Q8C2211yescharacteristic
43#5708—21no—
44#5708—21no—
45#5702—21no—
46#5702—21no—
47#5698C2211yescharacteristic
48#5693—21no—
49#5693—21no—
50#5688C2211yescharacteristic
51#5685—21no—
52#5685—21no—
53#5628C2211yescharacteristic
54#5628C2211yescharacteristic
55#5622C2211yescharacteristic
56#5622C2211yescharacteristic
57#5578C2211yescharacteristic
58#5578C2211yescharacteristic
59#5574—21no—
60#5574C2211yescharacteristic
61#5574C2211yescharacteristic
62C4×#239—21no—
63C4×#239C2211yescharacteristic
64C4×#239C2211yescharacteristic
65#5572—21no—
66#5572C2211yescharacteristic
67#5572C2211yescharacteristic
68#5572C2211yescharacteristic
69#5572C2211yescharacteristic
70C4×D3×Q8—21no—
71C4×D3×Q8C2211yescharacteristic
72C4×D3×Q8C2211yescharacteristic
73#5523—21no—
74#5523—21no—
75#5523C2211yescharacteristic
76#5523C2211yescharacteristic
77#5522—21no—
78#5522—21no—
79#5522C2211yescharacteristic
80#5522C2211yescharacteristic
81#5518C2211yescharacteristic
82C3×#485C2211yescharacteristic
83C3×#485C2211yescharacteristic
84C3×#479C2211yescharacteristic
85C3×#479C2211yescharacteristic
86C3×#462C2211yescharacteristic
87C3×#462C2211yescharacteristic
88C3×#451C2211yescharacteristic
89C3×#451C2211yescharacteristic
90C3×#441C2211yescharacteristic
91C3×#441C2211yescharacteristic
92C3×C4×Q16C2211yescharacteristic
93C3×C4×Q16C2211yescharacteristic
94C3×#433C2211yescharacteristic
95#5228C2211yescharacteristic
96#5228C2211yescharacteristic
97#5187C2211yescharacteristic
98#5187C2211yescharacteristic
99#5186C2211yescharacteristic
100#5186C2211yescharacteristic
101#5184C2211yescharacteristic
102#5184C2211yescharacteristic
103#5182C2211yescharacteristic
104#5182C2211yescharacteristic
105#5182C2211yescharacteristic
106#5182C2211yescharacteristic
107Dic3×Q16C2211yescharacteristic
108Dic3×Q16C2211yescharacteristic
109#5090C2211yescharacteristic
110#5083C2211yescharacteristic
111#5066C2211yescharacteristic
112#5063C2211yescharacteristic
113#5047C2211yescharacteristic
114#5047C2211yescharacteristic
115#5044C2211yescharacteristic
116#5043C2211yescharacteristic
117#5031C2211yescharacteristic
118#5031C2211yescharacteristic
119#5030C2211yescharacteristic
120#5030C2211yescharacteristic
121#5030C2211yescharacteristic
122C4×#216C2211yescharacteristic
123C4×#216C2211yescharacteristic
124C4×#216C2211yescharacteristic
125#5026C2211yescharacteristic
126C4×#215C2211yescharacteristic
127#5022C2211yescharacteristic
128#5022C2211yescharacteristic
129#5000C2211yescharacteristic
130#4996C2211yescharacteristic
131#4996C2211yescharacteristic
132#4890C2211yescharacteristic
133#4889C2211yescharacteristic
134#4888C2211yescharacteristic
135#4884C2211yescharacteristic
136#4881C2211yescharacteristic
137#4880C2211yescharacteristic
138#4875C2211yescharacteristic
139#4873C2211yescharacteristic
140#4870C2211yescharacteristic
141#4868C2211yescharacteristic
142#4862C2211yescharacteristic
143#4861C2211yescharacteristic
144#4860C2211yescharacteristic
145#4854C2211yescharacteristic
146#4853C2211yescharacteristic
147#4852C2211yescharacteristic
148#4849C2211yescharacteristic
149#4847C2211yescharacteristic
150#4841C2211yescharacteristic
151#4840C2211yescharacteristic
152#4840C2211yescharacteristic
153#4837C2211yescharacteristic
154D3×C4⋊C8C2211yescharacteristic
155#4829C2211yescharacteristic
156#4818C2211yescharacteristic
157#4818C2211yescharacteristic
158#4817C2211yescharacteristic
159#4815C2211yescharacteristic
160#4814C2211yescharacteristic
161#4811C2211yescharacteristic
162#4809C2211yescharacteristic
163#4809C2211yescharacteristic
164#4808C2211yescharacteristic
165#4808C2211yescharacteristic
166#4805C2211yescharacteristic
167#4804C2211yescharacteristic
168#4804C2211yescharacteristic
169#4802C2211yescharacteristic
170#4802C2211yescharacteristic
171#4802C2211yescharacteristic
172#4802C2211yescharacteristic
173D3×#103C2211yescharacteristic
174D3×#103C2211yescharacteristic
175#4795C2211yescharacteristic
176#4795C2211yescharacteristic
177#4793C2211yescharacteristic
178#4793C2211yescharacteristic
179#4791C2211yescharacteristic
180#4791C2211yescharacteristic
181#4790C2211yescharacteristic
182#4790C2211yescharacteristic
183#4790C2211yescharacteristic
184#4789C2211yescharacteristic
185#4789C2211yescharacteristic
186#4789C2211yescharacteristic
187#4788C2211yescharacteristic
188#4733C2211yescharacteristic
189#4733C2211yescharacteristic
190#4727C2211yescharacteristic
191#4727C2211yescharacteristic
192#4722C2211yescharacteristic
193#4721C2211yescharacteristic
194#4719C2211yescharacteristic
195#4718C2211yescharacteristic
196#4716C2211yescharacteristic
197#4710C2211yescharacteristic
198#4708C2211yescharacteristic
199#4705C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
201C4×#204C2211yescharacteristic
202#4689C2211yescharacteristic
203#4685C2211yescharacteristic
204#3509—31no—
205C4×2−1+4—31no—
206#3127—31no—
207#3127—31no—
208#3127—31no—
209#3127D311yescharacteristic, complemented
210#3120—31no—
211#3120—31no—
212#3120—31no—
213#3120—31no—
214#3116—31no—
215#3116—31no—
216#3113—31no—
217#3113—31no—
218#3107—31no—
219#3107—31no—
220#3104—31no—
221#3104—31no—
222#3097—31no—
223#3097—31no—
224#3078—31no—
225#3076—31no—
226#3039—31no—
227C2×#462—31no—
228#3011—31no—
229#3011—31no—
230#2950—31no—
231#2950—31no—
232#2947—31no—
233#2947—31no—
234#2925—31no—
235C22×C3×Q8C2311yescharacteristic
236#1007—24no—
237#1007—24no—
238C2×#239—21no—
239C2×#239C2311yescharacteristic
240C2×#239C2311yescharacteristic
241C2×D3×Q8—21no—
242C2×D3×Q8C2311yescharacteristic
243C2×D3×Q8C2311yescharacteristic
244C2×D3×Q8C2311yescharacteristic
245C2×D3×Q8C2311yescharacteristic
246C2×#235—21no—
247C2×#235—21no—
248C2×#235C2311yescharacteristic
249C2×#235C2311yescharacteristic
250C2×C3×Q16C2311yescharacteristic
251C2×C3×Q16C2311yescharacteristic
252C2×C3×Q16C2311yescharacteristic
253C2×C3×Q16C2311yescharacteristic
254C3×C4⋊Q8C2311yescharacteristic
255C3×#126—21no—
256C3×#126—21no—
257C3×#125—21no—
258C3×#125—21no—
259C3×#125C2311yescharacteristic
260C3×C22⋊Q8C2311yescharacteristic
261C3×C22⋊Q8C2311yescharacteristic
262C3×C4×Q8—21no—
263C3×C4×Q8—21no—
264C3×C4×Q8C2311yescharacteristic
265C3×C4×Q8C2311yescharacteristic
266C3×C4×Q8C2311yescharacteristic
267C3×C4×Q8C2311yescharacteristic
268C3×C4×Q8C2311yescharacteristic
269C3×C4×Q8C2311yescharacteristic
270C3×#117—21no—
271C3×#117—21no—
272C3×#117C2311yescharacteristic
273C3×#117C2311yescharacteristic
274#946C2311yescharacteristic
275#946C2311yescharacteristic
276Q8×Dic3—21no—
277Q8×Dic3—21no—
278Q8×Dic3C2311yescharacteristic
279Q8×Dic3C2311yescharacteristic
280Q8×Dic3C2311yescharacteristic
281Q8×Dic3C2311yescharacteristic
282Q8×Dic3C2311yescharacteristic
283Q8×Dic3C2311yescharacteristic
284#944C2311yescharacteristic
285#944C2311yescharacteristic
286C2×#216C2311yescharacteristic
287C2×#216C2311yescharacteristic
288C2×#216C2311yescharacteristic
289C2×#216C2311yescharacteristic
290C2×#216C2311yescharacteristic
291C2×#216C2311yescharacteristic
292C2×#215C2311yescharacteristic
293C2×#215C2311yescharacteristic
294C2×C4⋊Dic3—21no—
295C2×C4⋊Dic3C2311yescharacteristic
296#924C2311yescharacteristic
297#924C2311yescharacteristic
298C2×C4×Dic3—21no—
299C2×C4×Dic3C2311yescharacteristic
300#918—24no—
301#918—24no—
302D3×Q16—24no—
303D3×Q16—24no—
304C2×Dic12C2311yescharacteristic
305C2×Dic12C2311yescharacteristic
306C2×#204C2311yescharacteristic
307C2×#204C2311yescharacteristic
308C2×ΓL(1,𝔽25)C2311yescharacteristic
309C2×ΓL(1,𝔽25)C2311yescharacteristic
310C2×D3×C8C2311yescharacteristic
311C2×D3×C8C2311yescharacteristic
312#898—21no—
313#898—21no—
314#898—21no—
315#898—21no—
316#897C2311yescharacteristic
317#897C2311yescharacteristic
318#896—21no—
319#896—21no—
320#896—21no—
321#896—21no—
322#894—21no—
323#894—21no—
324#893—21no—
325#893—21no—
326#893—21no—
327#893—21no—
328#893D411yescharacteristic
329#893D411yescharacteristic
330#893C2311yescharacteristic
331#893C2311yescharacteristic
332#892—21no—
333#892—21no—
334#892—21no—
335#892—21no—
336#892—21no—
337#892—21no—
338#892—21no—
339#892C2311yescharacteristic
340#892C2311yescharacteristic
341#892C2311yescharacteristic
342#892C2311yescharacteristic
343D3×C4⋊C4—21no—
344D3×C4⋊C4—21no—
345D3×C4⋊C4—21no—
346D3×C4⋊C4—21no—
347D3×C4⋊C4—21no—
348D3×C4⋊C4—21no—
349D3×C4⋊C4—21no—
350D3×C4⋊C4C2311yescharacteristic
351D3×C4⋊C4C2311yescharacteristic
352#890—21no—
353#890—21no—
354#889—21no—
355#889—21no—
356#889—21no—
357#889—21no—
358#889—21no—
359#889—21no—
360#889—21no—
361#889—21no—
362#888—21no—
363#888—21no—
364#888—21no—
365#888—21no—
366#888C2311yescharacteristic
367#888C2311yescharacteristic
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#887—21no—
378#887D411yescharacteristic
379#887D411yescharacteristic
380#887C2311yescharacteristic
381#887C2311yescharacteristic
382#887C2311yescharacteristic
383#887C2311yescharacteristic
384#885—21no—
385#885—21no—
386#883—21no—
387#883—21no—
388#67⋊C4—21no—
389#67⋊C4—21no—
390#67⋊C4—21no—
391#67⋊C4—21no—
392#67⋊C4—21no—
393#67⋊C4—21no—
394#67⋊C4D411yescharacteristic
395#67⋊C4D411yescharacteristic
396#67⋊C4D411yescharacteristic
397#67⋊C4D411yescharacteristic
398#879—21no—
399#879—21no—
400#878—21no—
401#878—21no—
402#877—21no—
403#877—21no—
404C4×D12—21no—
405C4×D12—21no—
406C4×D12—21no—
407C4×D12—21no—
408C4×D12—21no—
409C4×D12C2311yescharacteristic
410C4×D12C2311yescharacteristic
411#872—21no—
412#872—21no—
413#872—21no—
414#872—21no—
415#872—21no—
416#872—21no—
417#872—21no—
418#872—21no—
419#872—21no—
420#872C2311yescharacteristic
421#872C2311yescharacteristic
422C42×D3—21no—
423C42×D3—21no—
424C42×D3—21no—
425C42×D3—21no—
426C42×D3—21no—
427C42×D3C2311yescharacteristic
428C42×D3C2311yescharacteristic
429#870C2311yescharacteristic
430#869C2311yescharacteristic
431C4×Dic6—21no—
432C4×Dic6—21no—
433C4×Dic6—21no—
434C4×Dic6—21no—
435C4×Dic6—21no—
436C4×Dic6—21no—
437C4×Dic6—21no—
438C4×Dic6—21no—
439C4×Dic6—21no—
440C4×Dic6C2311yescharacteristic
441C4×Dic6C2311yescharacteristic
442C4×Dic6C2311yescharacteristic
443C4×Dic6C2311yescharacteristic
444C3×#107C2311yescharacteristic
445C3×#107C2311yescharacteristic
446C3×#106C2311yescharacteristic
447C3×#106C2311yescharacteristic
448C3×C4⋊C8C2311yescharacteristic
449C3×C4⋊C8C2311yescharacteristic
450C3×#103C2311yescharacteristic
451C3×#103C2311yescharacteristic
452C3×#103C2311yescharacteristic
453C3×#103C2311yescharacteristic
454C3×#103C2311yescharacteristic
455C3×#103C2311yescharacteristic
456C3×#103C2311yescharacteristic
457C3×#103C2311yescharacteristic
458C3×C22⋊C8C2311yescharacteristic
459C3×C22⋊C8C2311yescharacteristic
460C3×#97C2311yescharacteristic
461C3×C4×C8C2311yescharacteristic
462#835C2311yescharacteristic
463#835C2311yescharacteristic
464#835C2311yescharacteristic
465#835C2311yescharacteristic
466#835C2311yescharacteristic
467#835C2311yescharacteristic
468#835C2311yescharacteristic
469#835C2311yescharacteristic
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#807C2311yescharacteristic
509#807C2311yescharacteristic
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—
519C22×Q16—31no—
520C22×Q16—31no—
521#557—61no—
522#557—61no—
523#556—61no—
524#556—61no—
525#552—61no—
526#552—61no—
527#552—61no—
528#552—61no—
529#541—31no—
530#541—31no—
531#541—31no—
532#541C2×D311yescharacteristic
533#536—31no—
534#536—31no—
535#533—31no—
536#533—31no—
537#533—31no—
538#533—31no—
539#533—31no—
540C2×C4⋊Q8—31no—
541#520—31no—
542#520—31no—
543#520—31no—
544#520—31no—
545#520—61no—
546#520—61no—
547#520—61no—
548#519—31no—
549#519—31no—
550#519—31no—
551#519—31no—
552#519—61no—
553#519C2×D311yescharacteristic
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#485—31no—
570#485—31no—
571#485C2×D311yescharacteristic
572#485C2×D311yescharacteristic
573#484—31no—
574#484—31no—
575#484—31no—
576#484—31no—
577#483—31no—
578#483—31no—
579#483—31no—
580#483—31no—
581#479—31no—
582#479—31no—
583#479—31no—
584#479—31no—
585#479C2×D311yescharacteristic
586#479C2×D311yescharacteristic
587#478—31no—
588#478—31no—
589#477—31no—
590#477—31no—
591#477—31no—
592#476—31no—
593#475—31no—
594#475—31no—
595#475—31no—
596#474—31no—
597#462—31no—
598#462—31no—
599#462—31no—
600#462—31no—
601#462—31no—
602#462—31no—
603#462—31no—
604#462—31no—
605#462—31no—
606#462—31no—
607#462C2×D311yescharacteristic
608#462C2×D311yescharacteristic
609#461—31no—
610#461—31no—
611#461—31no—
612#461—31no—
613#452—31no—
614#452—31no—
615#452—31no—
616#452—31no—
617#452—31no—
618#452—31no—
619#452—31no—
620#452—31no—
621#451—31no—
622#451—31no—
623#451—31no—
624#451—31no—
625#451—31no—
626#451—31no—
627#451C2×D311yescharacteristic
628#451C2×D311yescharacteristic
629#441—31no—
630#441—31no—
631#441—31no—
632#441—31no—
633#441—31no—
634#441—31no—
635#441—31no—
636#441—31no—
637#441—31no—
638#441—31no—
639#441C2×D311yescharacteristic
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×Q16—31no—
650C4×Q16—31no—
651C4×Q16—31no—
652C4×Q16—31no—
653C4×Q16—31no—
654C4×Q16—31no—
655C4×Q16C2×D311yescharacteristic
656C4×Q16C2×D311yescharacteristic
657C4×SD16—31no—
658C4×SD16—31no—
659C4×SD16—31no—
660C4×SD16—31no—
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—
671#427—31no—
672#427—31no—
673#423—31no—
674C2×C4⋊C8—31no—
675#419—31no—
676#419—31no—
677#419—31no—
678#419—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—
687C2×C3×Q8—22no—
688C2×C3×Q8—22no—
689C2×C3×Q8—21no—
690C2×C3×Q8C2411yescharacteristic
691C2×C3×Q8C2411yescharacteristic
692C2×C3×Q8C2411yescharacteristic
693C2×C3×Q8C2411yescharacteristic
694C22×C3×C4—21no—
695C22×C3×C4C2411yescharacteristic
696C2×#67—21no—
697C2×#67C2×D411yescharacteristic
698C2×#67C2×D411yescharacteristic
699C22×Dic3—21no—
700C22×Dic3C2×D411yescharacteristic
701C22×Dic3C2×D411yescharacteristic
702#239—28no—
703#239—22no—
704#239—22no—
705#239—22no—
706#239#4114yes—
707D3×Q8—28no—
708D3×Q8—22no—
709D3×Q8—22no—
710D3×Q8—22no—
711D3×Q8—22no—
712D3×Q8—22no—
713D3×Q8—22no—
714D3×Q8—22no—
715D3×Q8#4114yes—
716#235—28no—
717#235—28no—
718#235—22no—
719#235—22no—
720#235—22no—
721#235—22no—
722C2×D12—21no—
723C2×D12—21no—
724C2×D12C2×D411yescharacteristic
725C2×D12C2411yescharacteristic
726C2×C4×D3—21no—
727C2×C4×D3—21no—
728C2×C4×D3—21no—
729C2×C4×D3—21no—
730C2×C4×D3—21no—
731C2×C4×D3—21no—
732C2×C4×D3—21no—
733C2×C4×D3—21no—
734C2×C4×D3—21no—
735C2×C4×D3—21no—
736C2×C4×D3—21no—
737C2×C4×D3—21no—
738C2×C4×D3—21no—
739C2×C4×D3C2×D411yescharacteristic
740C2×C4×D3C2×D411yescharacteristic
741C2×C4×D3C2×D411yescharacteristic
742C2×C4×D3C2×D411yescharacteristic
743C2×C4×D3C2411yescharacteristic
744C2×C4×D3C2411yescharacteristic
745C2×Dic6—21no—
746C2×Dic6—21no—
747C2×Dic6—21no—
748C2×Dic6—21no—
749C2×Dic6—21no—
750C2×Dic6—21no—
751C2×Dic6C2×D411yescharacteristic
752C2×Dic6C2411yescharacteristic
753C2×Dic6C2411yescharacteristic
754C2×Dic6C2411yescharacteristic
755C3×Q16—22no—
756C3×Q16—22no—
757C3×Q16—22no—
758C3×Q16—22no—
759C2×C3×C8C2411yescharacteristic
760C2×C3×C8C2411yescharacteristic
761C2×C3×C8C2411yescharacteristic
762C2×C3×C8C2411yescharacteristic
763C3×C4⋊C4—21no—
764C3×C4⋊C4—21no—
765C3×C4⋊C4—21no—
766C3×C4⋊C4—21no—
767C3×C4⋊C4—21no—
768C3×C4⋊C4—21no—
769C3×C4⋊C4—21no—
770C3×C4⋊C4—21no—
771C3×C4⋊C4—21no—
772C3×C4⋊C4—21no—
773C3×C4⋊C4—21no—
774C3×C4⋊C4—21no—
775C3×C4⋊C4C2×D411yescharacteristic
776C3×C4⋊C4C2×D411yescharacteristic
777C3×C4⋊C4C2411yescharacteristic
778C3×C4⋊C4C2411yescharacteristic
779C3×C4⋊C4C2411yescharacteristic
780C3×C4⋊C4C2411yescharacteristic
781C3×C22⋊C4—21no—
782C3×C22⋊C4—21no—
783C3×C22⋊C4—21no—
784C3×C22⋊C4C2×D411yescharacteristic
785C3×C22⋊C4C2×D411yescharacteristic
786C3×C42—21no—
787C3×C42—21no—
788C3×C42—21no—
789C3×C42—21no—
790C3×C42—21no—
791C3×C42—21no—
792C3×C42—21no—
793C3×C42C2411yescharacteristic
794C3×C42C2411yescharacteristic
795#217—21no—
796#217—21no—
797#216—22no—
798#216—22no—
799#216—22no—
800#216—22no—
801#216—22no—
802#216—22no—
803#215—22no—
804#215—22no—
805(C2×D3)⋊C4—21no—
806(C2×D3)⋊C4—21no—
807(C2×D3)⋊C4—21no—
808(C2×D3)⋊C4—21no—
809(C2×D3)⋊C4—21no—
810(C2×D3)⋊C4—21no—
811(C2×D3)⋊C4—21no—
812(C2×D3)⋊C4—21no—
813(C2×D3)⋊C4—21no—
814(C2×D3)⋊C4—21no—
815(C2×D3)⋊C4—21no—
816(C2×D3)⋊C4—21no—
817(C2×D3)⋊C4C2×D411yescharacteristic
818(C2×D3)⋊C4C2×D411yescharacteristic
819(C2×D3)⋊C4C2×D411yescharacteristic
820(C2×D3)⋊C4C2×D411yescharacteristic
821C4⋊Dic3—21no—
822C4⋊Dic3—21no—
823C4⋊Dic3—21no—
824C4⋊Dic3—21no—
825C4⋊Dic3—21no—
826C4⋊Dic3—21no—
827C4⋊Dic3—21no—
828C4⋊Dic3—21no—
829C4⋊Dic3—21no—
830C4⋊Dic3—21no—
831C4⋊Dic3—21no—
832C4⋊Dic3C2411yescharacteristic
833C4⋊Dic3C2411yescharacteristic
834C4⋊Dic3C2411yescharacteristic
835C4⋊Dic3C2411yescharacteristic
836Dic3⋊C4—21no—
837Dic3⋊C4—21no—
838Dic3⋊C4—21no—
839Dic3⋊C4—21no—
840Dic3⋊C4—21no—
841Dic3⋊C4—21no—
842Dic3⋊C4—21no—
843Dic3⋊C4—21no—
844Dic3⋊C4—21no—
845Dic3⋊C4—21no—
846Dic3⋊C4—21no—
847Dic3⋊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⋊C4C2×D411yescharacteristic
859Dic3⋊C4C2×D411yescharacteristic
860Dic3⋊C4C2×D411yescharacteristic
861Dic3⋊C4C2×D411yescharacteristic
862C4×Dic3—21no—
863C4×Dic3—21no—
864C4×Dic3—21no—
865C4×Dic3—21no—
866C4×Dic3—21no—
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×Dic3C2×D411yescharacteristic
881C4×Dic3C2×D411yescharacteristic
882C4×Dic3C2×D411yescharacteristic
883C4×Dic3C2×D411yescharacteristic
884C4×Dic3C2×D411yescharacteristic
885C4×Dic3C2×D411yescharacteristic
886C4×Dic3C2411yescharacteristic
887C4×Dic3C2411yescharacteristic
888C2×C3⋊C8C2411yescharacteristic
889C2×C3⋊C8C2411yescharacteristic
890C2×C3⋊C8C2411yescharacteristic
891C2×C3⋊C8C2411yescharacteristic
892Dic12—22no—
893Dic12—22no—
894#204—22no—
895#204—22no—
896ΓL(1,𝔽25)—22no—
897ΓL(1,𝔽25)—22no—
898D3×C8—22no—
899D3×C8—22no—
9002−1+4—64no—
9012−1+4—64no—
902C2×#41—31no—
903C2×#41—31no—
904C2×#41—31no—
905C2×#41—31no—
906C2×#41—61no—
907C2×#41—61no—
908C2×#41—61no—
909C22×Q8—31no—
910C22×Q8—31no—
911C22×Q8—31no—
912C22×Q8—31no—
913C22×Q8—61no—
914C22×Q8C22×D311yescharacteristic
915#137—64no—
916#137—64no—
917C2×Q16—31no—
918C2×Q16—31no—
919C2×Q16—31no—
920C2×Q16—31no—
921C2×Q16—31no—
922C2×Q16—31no—
923C2×Q16—31no—
924C2×Q16—31no—
925C2×Q16—64no—
926C2×Q16—64no—
927C2×Q16C22×D311yescharacteristic
928C2×Q16C22×D311yescharacteristic
929C2×Q16C22×D311yescharacteristic
930C2×Q16C22×D311yescharacteristic
931C2×SD16—31no—
932C2×SD16—31no—
933C2×SD16—31no—
934C2×SD16—31no—
935C2×M16—31no—
936C2×M16—31no—
937C22×C8—31no—
938C22×C8—31no—
939C4⋊Q8—31no—
940C4⋊Q8—31no—
941C4⋊Q8—31no—
942C4⋊Q8—31no—
943C4⋊Q8—31no—
944C4⋊Q8—61no—
945C4⋊Q8—61no—
946C4⋊Q8—61no—
947C4⋊Q8—61no—
948C4⋊Q8C22×D311yescharacteristic
949#126—21no—
950#126—21no—
951#126—61no—
952#126—61no—
953#126—61no—
954#126—61no—
955#126—61no—
956#126—61no—
957#125—21no—
958#125—21no—
959#125—31no—
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#125C22×D311yescharacteristic
971#124—61no—
972#124—61no—
973#123—61no—
974#123—61no—
975#123—61no—
976#123—61no—
977C22⋊Q8—31no—
978C22⋊Q8—31no—
979C22⋊Q8—31no—
980C22⋊Q8—31no—
981C22⋊Q8—31no—
982C22⋊Q8—31no—
983C22⋊Q8—61no—
984C22⋊Q8—61no—
985C22⋊Q8—61no—
986C22⋊Q8—61no—
987C22⋊Q8—61no—
988C22⋊Q8—61no—
989C22⋊Q8C22×D311yescharacteristic
990C22⋊Q8C22×D311yescharacteristic
991C4×Q8—21no—
992C4×Q8—21no—
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—31no—
1008C4×Q8—31no—
1009C4×Q8—61no—
1010C4×Q8—61no—
1011C4×Q8—61no—
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×Q8—61no—
1028C4×Q8—61no—
1029C4×Q8—61no—
1030C4×Q8C22×D311yescharacteristic
1031C4×Q8C22×D311yescharacteristic
1032C4×Q8C22×D311yescharacteristic
1033C4×Q8C22×D311yescharacteristic
1034C4×Q8C22×D311yescharacteristic
1035C4×Q8C22×D311yescharacteristic
1036C4×D4—31no—
1037C4×D4—31no—
1038C4×D4—31no—
1039C4×D4—31no—
1040C4×D4—31no—
1041C4×D4—31no—
1042C4×D4—31no—
1043C4×D4—31no—
1044C4×D4—31no—
1045C4×D4—31no—
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—
1061#117—21no—
1062#117—21no—
1063#117—31no—
1064#117—31no—
1065#117—31no—
1066#117—31no—
1067#117—31no—
1068#117—31no—
1069#117—61no—
1070#117—61no—
1071#117—61no—
1072#117—61no—
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#117C22×D311yescharacteristic
1088#117C22×D311yescharacteristic
1089C2×C4⋊C4—31no—
1090C2×C4⋊C4—31no—
1091C2×C4⋊C4—31no—
1092C2×C4⋊C4—61no—
1093C2×C4⋊C4—61no—
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×C42—31no—
1101C2×C42—31no—
1102C2×C42—31no—
1103C2×C42—61no—
1104C2×C42—61no—
1105C2×C42—61no—
1106C2×C42—61no—
1107C2×C42—61no—
1108C2×C42—61no—
1109#107—31no—
1110#107—31no—
1111#107—31no—
1112#107—31no—
1113#107—31no—
1114#107—31no—
1115#107C22×D311yescharacteristic
1116#107C22×D311yescharacteristic
1117#106—31no—
1118#106—31no—
1119#106—31no—
1120#106—31no—
1121#106—31no—
1122#106—31no—
1123#106C22×D311yescharacteristic
1124#106C22×D311yescharacteristic
1125C4⋊C8—31no—
1126C4⋊C8—31no—
1127C4⋊C8—31no—
1128C4⋊C8—31no—
1129C4⋊C8—31no—
1130C4⋊C8—31no—
1131C4⋊C8C22×D311yescharacteristic
1132C4⋊C8C22×D311yescharacteristic
1133#103—31no—
1134#103—31no—
1135#103—31no—
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#103—31no—
1153#103C22×D311yescharacteristic
1154#103C22×D311yescharacteristic
1155#103C22×D311yescharacteristic
1156#103C22×D311yescharacteristic
1157#103C22×D311yescharacteristic
1158#103C22×D311yescharacteristic
1159#103C22×D311yescharacteristic
1160#103C22×D311yescharacteristic
1161#102—31no—
1162#102—31no—
1163#102—31no—
1164#102—31no—
1165C22⋊C8—31no—
1166C22⋊C8—31no—
1167C22⋊C8—31no—
1168C22⋊C8—31no—
1169C22⋊C8—31no—
1170C22⋊C8—31no—
1171C22⋊C8C22×D311yescharacteristic
1172C22⋊C8C22×D311yescharacteristic
1173#97—31no—
1174#97—31no—
1175#97—31no—
1176#97C22×D311yescharacteristic
1177C4×C8—31no—
1178C4×C8—31no—
1179C4×C8—31no—
1180C4×C8C22×D311yescharacteristic
1181C23×C3C22×D411yescharacteristic
1182C22×D3—21no—
1183C22×D3C22×D411yescharacteristic
1184C22×D3C22×D411yescharacteristic
1185C3×Q8—24no—
1186C3×Q8—21no—
1187C3×Q8—21no—
1188C3×Q8—21no—
1189C3×Q8—21no—
1190C3×Q8—21no—
1191C3×Q8—21no—
1192C3×Q8C2×#4112yes—
1193C3×Q8C2×#4112yes—
1194C2×C3×C4—24no—
1195C2×C3×C4—21no—
1196C2×C3×C4—21no—
1197C2×C3×C4—21no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—21no—
1205C2×C3×C4C22×D411yescharacteristic
1206C2×C3×C4C22×D411yescharacteristic
1207C2×C3×C4C22×D411yescharacteristic
1208C2×C3×C4C22×D411yescharacteristic
1209C2×C3×C4C22×D411yescharacteristic
1210C2×C3×C4C2511yescharacteristic
1211#67—24no—
1212#67—22no—
1213#67—22no—
1214C2×Dic3—21no—
1215C2×Dic3—22no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—41no—
1223C2×Dic3—81no—
1224C2×Dic3C22×D411yescharacteristic
1225C2×Dic3C22×D411yescharacteristic
1226C2×Dic3C22×D411yescharacteristic
1227C2×Dic3C22×D411yescharacteristic
1228C2×Dic3C22×D411yescharacteristic
1229C2×Dic3C22×D411yescharacteristic
1230D12—24no—
1231D12—24no—
1232D12—22no—
1233D12—21no—
1234D12C2×#4112yes—
1235C4×D3—24no—
1236C4×D3—24no—
1237C4×D3—24no—
1238C4×D3—24no—
1239C4×D3—21no—
1240C4×D3—21no—
1241C4×D3—24no—
1242C4×D3—22no—
1243C4×D3—22no—
1244C4×D3—41no—
1245C4×D3—41no—
1246C4×D3—42no—
1247C4×D3—42no—
1248C4×D3—42no—
1249C4×D3—81no—
1250C4×D3—81no—
1251C4×D3—81no—
1252C4×D3—81no—
1253C4×D3—81no—
1254C4×D3C2×#4112yes—
1255C4×D3C2×#4112yes—
1256Dic6—24no—
1257Dic6—21no—
1258Dic6—24no—
1259Dic6—22no—
1260Dic6—21no—
1261Dic6—21no—
1262Dic6—21no—
1263Dic6—21no—
1264Dic6—42no—
1265Dic6—42no—
1266Dic6—42no—
1267Dic6—42no—
1268Dic6C2×#4112yes—
1269C3×C8—21no—
1270C3×C8—21no—
1271C3×C8—21no—
1272C3×C8—21no—
1273C3⋊C8—21no—
1274C3⋊C8—21no—
1275C3⋊C8—21no—
1276C3⋊C8—21no—
1277#41—34no—
1278#41—62no—
1279#41—62no—
1280#41—62no—
1281#41—62no—
1282#41—68no—
1283#41—68no—
1284#41—62no—
1285#41—62no—
1286#41—68no—
1287#41—62no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—21no—
1291C2×Q8—31no—
1292C2×Q8—34no—
1293C2×Q8—31no—
1294C2×Q8—31no—
1295C2×Q8—31no—
1296C2×Q8—61no—
1297C2×Q8—61no—
1298C2×Q8—61no—
1299C2×Q8—61no—
1300C2×Q8—61no—
1301C2×Q8—61no—
1302C2×Q8—62no—
1303C2×Q8—62no—
1304C2×Q8—62no—
1305C2×Q8—62no—
1306C2×Q8—62no—
1307C2×Q8—62no—
1308C2×Q8—68no—
1309C2×Q8—62no—
1310C2×Q8C23×D311yescharacteristic
1311C2×Q8C23×D311yescharacteristic
1312C2×Q8C23×D311yescharacteristic
1313C2×Q8C23×D311yescharacteristic
1314C2×D4—31no—
1315C2×D4—31no—
1316C2×D4—31no—
1317C2×D4—31no—
1318C2×D4—61no—
1319C2×D4—61no—
1320C2×D4—61no—
1321C22×C4—21no—
1322C22×C4—31no—
1323C22×C4—31no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—61no—
1331C22×C4—61no—
1332C22×C4—61no—
1333C22×C4—61no—
1334C22×C4—61no—
1335C22×C4—61no—
1336C22×C4—61no—
1337C22×C4—61no—
1338C22×C4—61no—
1339C22×C4—61no—
1340C22×C4—61no—
1341C22×C4—61no—
1342C22×C4—61no—
1343C22×C4—61no—
1344C22×C4C23×D311yescharacteristic
1345Q16—22no—
1346Q16—22no—
1347Q16—22no—
1348Q16—22no—
1349Q16—62no—
1350Q16—62no—
1351Q16—62no—
1352Q16—62no—
1353Q16—62no—
1354Q16—62no—
1355Q16—62no—
1356Q16—62no—
1357SD16—62no—
1358SD16—62no—
1359SD16—62no—
1360SD16—62no—
1361M16—62no—
1362M16—62no—
1363C2×C8—31no—
1364C2×C8—31no—
1365C2×C8—31no—
1366C2×C8—31no—
1367C2×C8—62no—
1368C2×C8—62no—
1369C2×C8C23×D311yescharacteristic
1370C2×C8C23×D311yescharacteristic
1371C2×C8C23×D311yescharacteristic
1372C2×C8C23×D311yescharacteristic
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—31no—
1386C4⋊C4—31no—
1387C4⋊C4—31no—
1388C4⋊C4—31no—
1389C4⋊C4—31no—
1390C4⋊C4—31no—
1391C4⋊C4—31no—
1392C4⋊C4—31no—
1393C4⋊C4—61no—
1394C4⋊C4—61no—
1395C4⋊C4—61no—
1396C4⋊C4—61no—
1397C4⋊C4—61no—
1398C4⋊C4—61no—
1399C4⋊C4—61no—
1400C4⋊C4—61no—
1401C4⋊C4—61no—
1402C4⋊C4—61no—
1403C4⋊C4—61no—
1404C4⋊C4—61no—
1405C4⋊C4—61no—
1406C4⋊C4—61no—
1407C4⋊C4—61no—
1408C4⋊C4—61no—
1409C4⋊C4—61no—
1410C4⋊C4—61no—
1411C4⋊C4—61no—
1412C4⋊C4—61no—
1413C4⋊C4—61no—
1414C4⋊C4—61no—
1415C4⋊C4—61no—
1416C4⋊C4—61no—
1417C4⋊C4—61no—
1418C4⋊C4—61no—
1419C4⋊C4—61no—
1420C4⋊C4—61no—
1421C4⋊C4—61no—
1422C4⋊C4—61no—
1423C4⋊C4—61no—
1424C4⋊C4—61no—
1425C4⋊C4—61no—
1426C4⋊C4D3×D411yescharacteristic
1427C4⋊C4D3×D411yescharacteristic
1428C4⋊C4C23×D311yescharacteristic
1429C4⋊C4C23×D311yescharacteristic
1430C4⋊C4C23×D311yescharacteristic
1431C4⋊C4C23×D311yescharacteristic
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—31no—
1436C22⋊C4—31no—
1437C22⋊C4—31no—
1438C22⋊C4—31no—
1439C22⋊C4—61no—
1440C22⋊C4—61no—
1441C22⋊C4—61no—
1442C22⋊C4—61no—
1443C22⋊C4—61no—
1444C22⋊C4—61no—
1445C22⋊C4—61no—
1446C22⋊C4—61no—
1447C22⋊C4—61no—
1448C22⋊C4—61no—
1449C22⋊C4—61no—
1450C22⋊C4—61no—
1451C22⋊C4—61no—
1452C22⋊C4—61no—
1453C22⋊C4D3×D411yescharacteristic
1454C22⋊C4D3×D411yescharacteristic
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—21no—
1459C42—21no—
1460C42—21no—
1461C42—21no—
1462C42—31no—
1463C42—31no—
1464C42—31no—
1465C42—31no—
1466C42—31no—
1467C42—31no—
1468C42—31no—
1469C42—31no—
1470C42—61no—
1471C42—61no—
1472C42—61no—
1473C42—61no—
1474C42—61no—
1475C42—61no—
1476C42—61no—
1477C42—61no—
1478C42—61no—
1479C42—61no—
1480C42—61no—
1481C42—61no—
1482C42—61no—
1483C42—61no—
1484C42—61no—
1485C42—61no—
1486C42—61no—
1487C42—61no—
1488C42C23×D311yescharacteristic
1489C42C23×D311yescharacteristic
1490C22×C3—21no—
1491C22×C3—21no—
1492C22×C3—21no—
1493C22×C3C23×D411yescharacteristic
1494C2×D3—21no—
1495C2×D3—21no—
1496C2×D3—21no—
1497C2×D3—21no—
1498C2×D3—22no—
1499C2×D3—21no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3#52512yes—
1503C3×C4—21no—
1504C3×C4—21no—
1505C3×C4—22no—
1506C3×C4—22no—
1507C3×C4—21no—
1508C3×C4—21no—
1509C3×C4—21no—
1510C3×C4—41no—
1511C3×C4—41no—
1512C3×C4—41no—
1513C3×C4—41no—
1514C3×C4—41no—
1515C3×C4—41no—
1516C3×C4C22×#4111yescharacteristic
1517C3×C4C22×#4111yescharacteristic
1518Dic3—21no—
1519Dic3—21no—
1520Dic3—21no—
1521Dic3—22no—
1522Dic3—21no—
1523Dic3—41no—
1524Dic3—41no—
1525Dic3—41no—
1526Dic3—41no—
1527Dic3—41no—
1528Dic3—41no—
1529Dic3#52512yes—
1530Dic3#57812yes—
1531C23—31no—
1532C23—31no—
1533C23—61no—
1534C23C2×D3×D411yescharacteristic
1535Q8—24no—
1536Q8—21no—
1537Q8—21no—
1538Q8—21no—
1539Q8—21no—
1540Q8—21no—
1541Q8—21no—
1542Q8—32no—
1543Q8—64no—
1544Q8—62no—
1545Q8—64no—
1546Q8—61no—
1547Q8—61no—
1548Q8—61no—
1549Q8—61no—
1550Q8—61no—
1551Q8—122no—
1552Q8—122no—
1553Q8—122no—
1554Q8—122no—
1555Q8D3×#4112yes—
1556Q8D3×#4112yes—
1557D4—32no—
1558D4—62no—
1559D4—64no—
1560D4—64no—
1561D4—62no—
1562D4—62no—
1563D4—64no—
1564D4—61no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—31no—
1577C2×C4—31no—
1578C2×C4—32no—
1579C2×C4—32no—
1580C2×C4—31no—
1581C2×C4—31no—
1582C2×C4—31no—
1583C2×C4—31no—
1584C2×C4—62no—
1585C2×C4—62no—
1586C2×C4—64no—
1587C2×C4—64no—
1588C2×C4—64no—
1589C2×C4—64no—
1590C2×C4—64no—
1591C2×C4—62no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—121no—
1602C2×C4—121no—
1603C2×C4—122no—
1604C2×C4—122no—
1605C2×C4—122no—
1606C2×C4—121no—
1607C2×C4—241no—
1608C2×C4—241no—
1609C2×C4—241no—
1610C2×C4—241no—
1611C2×C4—241no—
1612C2×C4—241no—
1613C2×C4C2×D3×D411yescharacteristic
1614C2×C4C2×D3×D411yescharacteristic
1615C2×C4C2×D3×D411yescharacteristic
1616C2×C4C2×D3×D411yescharacteristic
1617C2×C4C2×D3×D411yescharacteristic
1618C2×C4C24×D311yescharacteristic
1619C8—21no—
1620C8—21no—
1621C8—21no—
1622C8—21no—
1623C8—61no—
1624C8—61no—
1625C8—61no—
1626C8—61no—
1627C2×C3—41no—
1628C2×C3C2×#52511yescharacteristic
1629C2×C3C2×#57811yescharacteristic
1630C2×C3#358611yescharacteristic
1631D3—22no—
1632D3—41no—
1633D3—42no—
1634C22—21no—
1635C22—21no—
1636C22—21no—
1637C22—32no—
1638C22—61no—
1639C22—61no—
1640C22—62no—
1641C22—61no—
1642C22—61no—
1643C22—61no—
1644C22—121no—
1645C22—121no—
1646C22C22×D3×D411yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—32no—
1655C4—32no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—61no—
1663C4—62no—
1664C4—61no—
1665C4—61no—
1666C4—61no—
1667C4—121no—
1668C4—121no—
1669C4—121no—
1670C4—121no—
1671C4—121no—
1672C4—121no—
1673C4C2×D3×#4111yescharacteristic
1674C4C2×D3×#4111yescharacteristic
1675C3#6059411yescharacteristic, complemented, Sylow
1676C2—41no—
1677C2—62no—
1678C2—121no—
1679C2—122no—
1680C2D3×#52511yescharacteristic
1681C2D3×#57811yescharacteristic
1682C2#8721111yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3127C2
socleC22×C3C23×D4
prime radicalC2×#1007C22
hypercenter#3127D3
hypocenterC3#60594
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3127

Complements

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

NH ≅ G/Ntype
1. #86510C2semidirect
3. C3×#3127C2semidirect
4. #83446C2semidirect
5. #82555C2semidirect
6. #81519C2semidirect
7. #81518C2semidirect
8. #81495C2semidirect
9. #81493C2semidirect
10. #81230C2semidirect
11. #81229C2semidirect
12. #81211C2semidirect
13. #81209C2semidirect
14. #80477C2semidirect
15. D3×#462C2semidirect
16. #80461C2semidirect
17. #80460C2semidirect
20. #80174C2semidirect
21. #80172C2semidirect
22. #79848C2semidirect
23. #79833C2semidirect
24. #79831C2semidirect
25. #79830C2semidirect
26. #79747C2semidirect
27. #79722C2semidirect
28. #79720C2semidirect
29. #79719C2semidirect
30. #79385C2semidirect
31. #79375C2semidirect
209. #3127D3semidirect
1675. C3#60594semidirect

Maximal subgroups

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

subgroupindex
#865102
#858732
C3×#31272
#834462
#825552
#815192
#815182
#814952
#814932
#812302
#812292
#812112
#812092
#804772
D3×#4622
#804612
#804602
#801852
#801742
#801722
#798482
#798332
#798312
#798302
#797472
#797222
#797202
#797192
#793852
#793752
#605943