Finite Group Databasebeta

← #11685669

Subgroups — #11685669

Order 768.

1612 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3557C211yesmaximal, characteristic
2#86258C211yesmaximal, characteristic, complemented
3#83719C211yesmaximal, characteristic, complemented
4#83718C211yesmaximal, characteristic, complemented
5#83718C211yesmaximal, characteristic, complemented
6#83717C211yesmaximal, characteristic, complemented
7#83684C211yesmaximal, characteristic, complemented
8#83684C211yesmaximal, characteristic, complemented
9#83683C211yesmaximal, characteristic, complemented
10#83682C211yesmaximal, characteristic, complemented
11#83678C211yesmaximal, characteristic, complemented
12#83678C211yesmaximal, characteristic, complemented
13#83677C211yesmaximal, characteristic, complemented
14#83676C211yesmaximal, characteristic, complemented
15#83632C211yesmaximal, characteristic, complemented
16#83632C211yesmaximal, characteristic, complemented
17#83631C211yesmaximal, characteristic, complemented
18#83629C211yesmaximal, characteristic, complemented
19#83467C211yesmaximal, characteristic, complemented
20#83467C211yesmaximal, characteristic, complemented
21#83455C211yesmaximal, characteristic, complemented
22#83454C211yesmaximal, characteristic, complemented
23#83451C211yesmaximal, characteristic, complemented
24#83442C211yesmaximal, characteristic, complemented
25#83439C211yesmaximal, characteristic
26#83430C211yesmaximal, characteristic
27#83331C211yesmaximal, characteristic, complemented
28#83153C211yesmaximal, characteristic, complemented
29#83152C211yesmaximal, characteristic, complemented
30#83125C211yesmaximal, characteristic, complemented
31#83122C211yesmaximal, characteristic, complemented
32#61856—31nomaximal, Sylow
33C3×#563—21no—
34C3×#563—21no—
35C3×#559C2211yescharacteristic
36C3×#559C2211yescharacteristic
37C3×#557C2211yescharacteristic
38C3×#557C2211yescharacteristic
39C3×#556C2211yescharacteristic
40C3×#556C2211yescharacteristic
41C3×#554C2211yescharacteristic
42C3×#554C2211yescharacteristic
43C3×#552—21no—
44C3×#552—21no—
45C3×#542—21no—
46C3×#542—21no—
47C3×#542C2211yescharacteristic
48C3×#542C2211yescharacteristic
49C3×#541C2211yescharacteristic
50C3×#540C2211yescharacteristic
51C3×#539—21no—
52C3×#539—21no—
53C3×#533C2211yescharacteristic
54C3×#529C2211yescharacteristic
55C3×#529C2211yescharacteristic
56#5722—21no—
57#5721—21no—
58#5685—21no—
59#5685—21no—
60#5623—21no—
61#5623—21no—
62#5622—21no—
63#5622—21no—
64#5567C2211yescharacteristic
65#5567C2211yescharacteristic
66#5567C2211yescharacteristic
67#5567C2211yescharacteristic
68#5567C2211yescharacteristic
69#5567C2211yescharacteristic
70Q8×Dic6C2211yescharacteristic
71Q8×Dic6C2211yescharacteristic
72#5519C2211yescharacteristic
73#5519C2211yescharacteristic
74#5516C2211yescharacteristic
75#5516C2211yescharacteristic
76#5470C2211yescharacteristic
77C2×C4×Dic6C2211yescharacteristic
78#5094C2211yescharacteristic
79#5094C2211yescharacteristic
80#5091C2211yescharacteristic
81#5091C2211yescharacteristic
82#5090C2211yescharacteristic
83#5090C2211yescharacteristic
84#5082C2211yescharacteristic
85#5081C2211yescharacteristic
86#5081C2211yescharacteristic
87#5080C2211yescharacteristic
88#5079C2211yescharacteristic
89#5078C2211yescharacteristic
90#5075C2211yescharacteristic
91#5075C2211yescharacteristic
92#5071C2211yescharacteristic
93#5070C2211yescharacteristic
94#5065C2211yescharacteristic
95#5065C2211yescharacteristic
96#5065C2211yescharacteristic
97#5065C2211yescharacteristic
98#5064C2211yescharacteristic
99#5064C2211yescharacteristic
100#5064C2211yescharacteristic
101#5064C2211yescharacteristic
102#5063C2211yescharacteristic
103#5063C2211yescharacteristic
104#5063C2211yescharacteristic
105#5063C2211yescharacteristic
106#5063C2211yescharacteristic
107#5063C2211yescharacteristic
108#5063C2211yescharacteristic
109#5063C2211yescharacteristic
110#5056C2211yescharacteristic
111#5056C2211yescharacteristic
112#5056C2211yescharacteristic
113#5056C2211yescharacteristic
114#5055C2211yescharacteristic
115#5055C2211yescharacteristic
116#5055C2211yescharacteristic
117#5055C2211yescharacteristic
118#5054C2211yescharacteristic
119#5054C2211yescharacteristic
120#5054C2211yescharacteristic
121#5054C2211yescharacteristic
122#5054C2211yescharacteristic
123#5054C2211yescharacteristic
124#5054C2211yescharacteristic
125#5054C2211yescharacteristic
126#5050C2211yescharacteristic
127#5050C2211yescharacteristic
128#5045C2211yescharacteristic
129#5045C2211yescharacteristic
130#5045C2211yescharacteristic
131#5045C2211yescharacteristic
132#5044C2211yescharacteristic
133#5043C2211yescharacteristic
134#5040C2211yescharacteristic
135#5040C2211yescharacteristic
136#5035C2211yescharacteristic
137#5035C2211yescharacteristic
138#5035C2211yescharacteristic
139#5035C2211yescharacteristic
140#5034C2211yescharacteristic
141#5033C2211yescharacteristic
142#5030C2211yescharacteristic
143#5030C2211yescharacteristic
144#5030C2211yescharacteristic
145#5030C2211yescharacteristic
146#5030C2211yescharacteristic
147#5030C2211yescharacteristic
148C4×#216C2211yescharacteristic
149C4×#216C2211yescharacteristic
150C4×#216C2211yescharacteristic
151C4×#216C2211yescharacteristic
152C4×#216C2211yescharacteristic
153C4×#216C2211yescharacteristic
154#5024C2211yescharacteristic
155#5024C2211yescharacteristic
156#5024C2211yescharacteristic
157#5024C2211yescharacteristic
158#5024C2211yescharacteristic
159#5024C2211yescharacteristic
160Q8×C3⋊C8C2211yescharacteristic
161Q8×C3⋊C8C2211yescharacteristic
162#5022C2211yescharacteristic
163#5022C2211yescharacteristic
164#5022C2211yescharacteristic
165#5022C2211yescharacteristic
166#5022C2211yescharacteristic
167#5022C2211yescharacteristic
168#5021C2211yescharacteristic
169#5021C2211yescharacteristic
170#5021C2211yescharacteristic
171#5020C2211yescharacteristic
172#5020C2211yescharacteristic
173#5020C2211yescharacteristic
174#5018C2211yescharacteristic
175#5018C2211yescharacteristic
176#5018C2211yescharacteristic
177#5018C2211yescharacteristic
178#5018C2211yescharacteristic
179#5018C2211yescharacteristic
180C4×#214C2211yescharacteristic
181C4×#214C2211yescharacteristic
182C4×#214C2211yescharacteristic
183C4×#214C2211yescharacteristic
184C4×#214C2211yescharacteristic
185C4×#214C2211yescharacteristic
186#5009C2211yescharacteristic
187#5009C2211yescharacteristic
188#5009C2211yescharacteristic
189#5009C2211yescharacteristic
190#5009C2211yescharacteristic
191#5009C2211yescharacteristic
192#5008C2211yescharacteristic
193#5008C2211yescharacteristic
194#5008C2211yescharacteristic
195#5007C2211yescharacteristic
196#5007C2211yescharacteristic
197#5007C2211yescharacteristic
198#5000C2211yescharacteristic
199#5000C2211yescharacteristic
200#5000C2211yescharacteristic
201#5000C2211yescharacteristic
202#4926C2211yescharacteristic
203#4925C2211yescharacteristic
204#3557D311yescharacteristic
205#3502—31no—
206#3390—31no—
207#3390—31no—
208#3388—31no—
209#3388—31no—
210#3387—31no—
211#3385—31no—
212#3383—31no—
213#3381—31no—
214#3377—31no—
215#3377—31no—
216#3375—31no—
217#3371—31no—
218#3371—31no—
219#3369—31no—
220#3365—31no—
221#3364—31no—
222#3244—31no—
223#3243—31no—
224#3242—31no—
225#3241—31no—
226#3240—31no—
227#3233—31no—
228#3127—31no—
229#3126—31no—
230#3121—31no—
231#3121—31no—
232#3117—31no—
233#3108—31no—
234#2985—31no—
235C22×Dic6C2311yescharacteristic
236C3×C4⋊Q8—21no—
237C3×C4⋊Q8—21no—
238C3×C4⋊Q8D411yescharacteristic
239C3×C4⋊Q8D411yescharacteristic
240C3×C4⋊Q8C2311yescharacteristic
241C3×C4⋊Q8C2311yescharacteristic
242C3×C4⋊Q8C2311yescharacteristic
243C3×#127C2311yescharacteristic
244C3×#126—21no—
245C3×#126—21no—
246C3×#126—21no—
247C3×#126—21no—
248C3×#126—21no—
249C3×#126—21no—
250C3×#126—21no—
251C3×#126—21no—
252C3×#126—21no—
253C3×#126—21no—
254C3×#125—21no—
255C3×#125—21no—
256C3×#125—21no—
257C3×#125—21no—
258C3×#125—21no—
259C3×#125—21no—
260C3×#125D411yescharacteristic
261C3×#125D411yescharacteristic
262C3×#125C2311yescharacteristic
263C3×#125C2311yescharacteristic
264C3×#125C2311yescharacteristic
265C3×#125C2311yescharacteristic
266C3×#124—21no—
267C3×#124—21no—
268C3×#124—21no—
269C3×#124—21no—
270C3×#124C2311yescharacteristic
271C3×#124C2311yescharacteristic
272C3×#124C2311yescharacteristic
273C3×#124C2311yescharacteristic
274C3×#123—21no—
275C3×#123—21no—
276C3×#123—21no—
277C3×#123—21no—
278C3×#123—21no—
279C3×#123—21no—
280C3×#123—21no—
281C3×#123—21no—
282C3×#123—21no—
283C3×#123—21no—
284C3×C22⋊Q8—21no—
285C3×C22⋊Q8—21no—
286C3×C22⋊Q8—21no—
287C3×C22⋊Q8—21no—
288C3×C22⋊Q8—21no—
289C3×C22⋊Q8—21no—
290C3×C22⋊Q8—21no—
291C3×C22⋊Q8—21no—
292C3×C22⋊Q8—21no—
293C3×C22⋊Q8—21no—
294C3×C22⋊Q8D411yescharacteristic
295C3×C22⋊Q8D411yescharacteristic
296C3×C22⋊Q8D411yescharacteristic
297C3×C22⋊Q8D411yescharacteristic
298C3×C22⋊Q8C2311yescharacteristic
299C3×C22⋊Q8C2311yescharacteristic
300C3×#121—21no—
301C3×#121—21no—
302C3×#121C2311yescharacteristic
303C3×#121C2311yescharacteristic
304C3×C4×Q8—21no—
305C3×C4×Q8—21no—
306C3×C4×Q8C2311yescharacteristic
307C3×C4×Q8C2311yescharacteristic
308C3×C4×Q8C2311yescharacteristic
309C3×C4×Q8C2311yescharacteristic
310C3×C4×Q8C2311yescharacteristic
311C3×C4×Q8C2311yescharacteristic
312C3×C4×Q8C2311yescharacteristic
313C3×C4×Q8C2311yescharacteristic
314C3×C4×Q8C2311yescharacteristic
315C3×C4×Q8C2311yescharacteristic
316C3×C4×D4—21no—
317C3×C4×D4—21no—
318C3×C4×D4—21no—
319C3×C4×D4—21no—
320C3×C4×D4C2311yescharacteristic
321C3×C4×D4C2311yescharacteristic
322C3×C4×D4C2311yescharacteristic
323C3×C4×D4C2311yescharacteristic
324C3×C4×D4C2311yescharacteristic
325C3×C4×D4C2311yescharacteristic
326C3×#117—21no—
327C3×#117—21no—
328C3×#117—21no—
329C3×#117—21no—
330C3×#117C2311yescharacteristic
331C3×#117C2311yescharacteristic
332C2×C3×C4⋊C4—21no—
333C2×C3×C4⋊C4—21no—
334C2×C3×C42C2311yescharacteristic
335Q8×Dic3—21no—
336Q8×Dic3—21no—
337#944—21no—
338#944—21no—
339#944—21no—
340#944—21no—
341#944—21no—
342#944—21no—
343C2×#216C2311yescharacteristic
344C2×#216C2311yescharacteristic
345C2×#216C2311yescharacteristic
346C2×#216C2311yescharacteristic
347C2×#214C2311yescharacteristic
348C2×#214C2311yescharacteristic
349C2×#214C2311yescharacteristic
350C2×#214C2311yescharacteristic
351#926C2311yescharacteristic
352#926C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354#924—21no—
355#924—21no—
356C2×Dic3⋊C4—21no—
357C2×C4×Dic3—21no—
358#890—21no—
359#890—21no—
360#889—21no—
361#889—21no—
362#889—21no—
363#889—21no—
364#889—21no—
365#889—21no—
366#889—21no—
367#889—21no—
368#889—21no—
369#889—21no—
370#889—21no—
371#889—21no—
372#888—21no—
373#888—21no—
374#888—21no—
375#888—21no—
376#888—21no—
377#888—21no—
378#888—21no—
379#888—21no—
380#887—21no—
381#887—21no—
382#887—21no—
383#887—21no—
384#887—21no—
385#887—21no—
386#887—21no—
387#887—21no—
388#887—21no—
389#887—21no—
390#878—21no—
391#878—21no—
392#878—21no—
393#878—21no—
394#877—21no—
395#877—21no—
396#877—21no—
397#877—21no—
398#870C2311yescharacteristic
399#870C2311yescharacteristic
400#870C2311yescharacteristic
401#870C2311yescharacteristic
402#870C2311yescharacteristic
403#870C2311yescharacteristic
404#869C2311yescharacteristic
405#869C2311yescharacteristic
406#869C2311yescharacteristic
407#869C2311yescharacteristic
408#869C2311yescharacteristic
409#869C2311yescharacteristic
410C4×Dic6—21no—
411C4×Dic6—21no—
412C4×Dic6—21no—
413C4×Dic6—21no—
414C4×Dic6C2311yescharacteristic
415C4×Dic6C2311yescharacteristic
416C4×Dic6C2311yescharacteristic
417C4×Dic6C2311yescharacteristic
418C4×Dic6C2311yescharacteristic
419C4×Dic6C2311yescharacteristic
420C4×Dic6C2311yescharacteristic
421C4×Dic6C2311yescharacteristic
422C4×Dic6C2311yescharacteristic
423C4×Dic6C2311yescharacteristic
424C4×Dic6C2311yescharacteristic
425C4×Dic6C2311yescharacteristic
426#835C2311yescharacteristic
427#835C2311yescharacteristic
428#835C2311yescharacteristic
429#835C2311yescharacteristic
430#835C2311yescharacteristic
431#835C2311yescharacteristic
432#835C2311yescharacteristic
433#835C2311yescharacteristic
434#835C2311yescharacteristic
435#835C2311yescharacteristic
436#835C2311yescharacteristic
437#835C2311yescharacteristic
438#832C2311yescharacteristic
439#832C2311yescharacteristic
440#832C2311yescharacteristic
441#832C2311yescharacteristic
442#832C2311yescharacteristic
443#832C2311yescharacteristic
444#832C2311yescharacteristic
445#832C2311yescharacteristic
446#832C2311yescharacteristic
447#832C2311yescharacteristic
448#832C2311yescharacteristic
449#832C2311yescharacteristic
450#830C2311yescharacteristic
451#830C2311yescharacteristic
452#830C2311yescharacteristic
453#830C2311yescharacteristic
454#810C2311yescharacteristic
455#810C2311yescharacteristic
456#810C2311yescharacteristic
457#810C2311yescharacteristic
458#810C2311yescharacteristic
459#810C2311yescharacteristic
460#810C2311yescharacteristic
461#810C2311yescharacteristic
462#808C2311yescharacteristic
463#808C2311yescharacteristic
464#808C2311yescharacteristic
465#808C2311yescharacteristic
466#808C2311yescharacteristic
467#808C2311yescharacteristic
468#808C2311yescharacteristic
469#808C2311yescharacteristic
470#808C2311yescharacteristic
471#808C2311yescharacteristic
472#808C2311yescharacteristic
473#808C2311yescharacteristic
474#807C2311yescharacteristic
475#807C2311yescharacteristic
476#807C2311yescharacteristic
477#807C2311yescharacteristic
478#807C2311yescharacteristic
479#807C2311yescharacteristic
480#807C2311yescharacteristic
481#807C2311yescharacteristic
482#807C2311yescharacteristic
483#807C2311yescharacteristic
484#807C2311yescharacteristic
485#807C2311yescharacteristic
486C4⋊(C3⋊C8)C2311yescharacteristic
487C4⋊(C3⋊C8)C2311yescharacteristic
488C4⋊(C3⋊C8)C2311yescharacteristic
489C4⋊(C3⋊C8)C2311yescharacteristic
490C4⋊(C3⋊C8)C2311yescharacteristic
491C4⋊(C3⋊C8)C2311yescharacteristic
492C4⋊(C3⋊C8)C2311yescharacteristic
493C4⋊(C3⋊C8)C2311yescharacteristic
494C4⋊(C3⋊C8)C2311yescharacteristic
495C4⋊(C3⋊C8)C2311yescharacteristic
496C4⋊(C3⋊C8)C2311yescharacteristic
497C4⋊(C3⋊C8)C2311yescharacteristic
498#803C2311yescharacteristic
499#803C2311yescharacteristic
500#803C2311yescharacteristic
501#803C2311yescharacteristic
502#803C2311yescharacteristic
503#803C2311yescharacteristic
504C4×C3⋊C8C2311yescharacteristic
505C4×C3⋊C8C2311yescharacteristic
506C4×C3⋊C8C2311yescharacteristic
507C4×C3⋊C8C2311yescharacteristic
508C4×C3⋊C8C2311yescharacteristic
509C4×C3⋊C8C2311yescharacteristic
510#563—21no—
511#563—21no—
512#559C2×D311yescharacteristic
513#559C2×D311yescharacteristic
514Q82—31no—
515Q82—31no—
516Q82—61no—
517#557—31no—
518#557—31no—
519#557—31no—
520#557—31no—
521#557—31no—
522#557—31no—
523#557—61no—
524#557—61no—
525#557—61no—
526#557C2×D311yescharacteristic
527#557C2×D311yescharacteristic
528#556C2×D311yescharacteristic
529#556C2×D311yescharacteristic
530#554C2×D311yescharacteristic
531#554C2×D311yescharacteristic
532#552—21no—
533#552—21no—
534#544—31no—
535#544—31no—
536#544—61no—
537#544—61no—
538#542—21no—
539#542—21no—
540#542C2×D311yescharacteristic
541#542C2×D311yescharacteristic
542#541C2×D311yescharacteristic
543#540C2×D311yescharacteristic
544#539—21no—
545#539—21no—
546#533—31no—
547#533—61no—
548#533—61no—
549#533C2×D311yescharacteristic
550#529C2×D311yescharacteristic
551#529C2×D311yescharacteristic
552#519—31no—
553#519—31no—
554C2×C4×Q8—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501—31no—
559#501—31no—
560#501—31no—
561#500—31no—
562#499—31no—
563#499—31no—
564#499—31no—
565#499—31no—
566#498—31no—
567#491—31no—
568#490—31no—
569#489—31no—
570#489—31no—
571#489—31no—
572#489—31no—
573#488—31no—
574#488—31no—
575#488—31no—
576#488—31no—
577#487—31no—
578#486—31no—
579#485—31no—
580#485—31no—
581#485—31no—
582#485—31no—
583#484—31no—
584#483—31no—
585#482—31no—
586#482—31no—
587#482—31no—
588#482—31no—
589#481—31no—
590#480—31no—
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#479—31no—
601#479—31no—
602#479—31no—
603#479—31no—
604#479—31no—
605#478—31no—
606#478—31no—
607#478—31no—
608#478—31no—
609#478—31no—
610#478—31no—
611#477—31no—
612#477—31no—
613#477—31no—
614#477—31no—
615#477—31no—
616#476—31no—
617#476—31no—
618#476—31no—
619#475—31no—
620#475—31no—
621#475—31no—
622#475—31no—
623#475—31no—
624#474—31no—
625#474—31no—
626#474—31no—
627#464—31no—
628#464—31no—
629#464—31no—
630#464—31no—
631#464—31no—
632#464—31no—
633#464—31no—
634#464—31no—
635#462—31no—
636#462—31no—
637#460—31no—
638#460—31no—
639#451—31no—
640#451—31no—
641#448—31no—
642#448—31no—
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#441—31no—
652#441—31no—
653#441—31no—
654#441—31no—
655#441—31no—
656#441—31no—
657#440—31no—
658#440—31no—
659#440—31no—
660#440—31no—
661#440—31no—
662#440—31no—
663C4×Q16—31no—
664C4×Q16—31no—
665C4×Q16—31no—
666C4×Q16—31no—
667C4×Q16—31no—
668C4×Q16—31no—
669C4×SD16—31no—
670C4×SD16—31no—
671C4×SD16—31no—
672C4×SD16—31no—
673C4×SD16—31no—
674C4×SD16—31no—
675#433—31no—
676#433—31no—
677#433—31no—
678#433—31no—
679#432—31no—
680#431—31no—
681C2×C3×Q8—21no—
682C2×C3×Q8—21no—
683C2×C3×Q8C2×D411yescharacteristic
684C2×C3×Q8C2×D411yescharacteristic
685C2×C3×Q8C2×D411yescharacteristic
686C2×C3×Q8C2×D411yescharacteristic
687C2×C3×Q8C2411yescharacteristic
688C2×C3×Q8C2411yescharacteristic
689C2×C3×D4—21no—
690C2×C3×D4—21no—
691C2×C3×D4—21no—
692C2×C3×D4—21no—
693C2×C3×D4C2411yescharacteristic
694C2×C3×D4C2411yescharacteristic
695C22×C3×C4—21no—
696C22×C3×C4—21no—
697C22×C3×C4—21no—
698C22×C3×C4—21no—
699C22×C3×C4—21no—
700C22×C3×C4—21no—
701C22×C3×C4C2×D411yescharacteristic
702C22×C3×C4C2×D411yescharacteristic
703C22×C3×C4C2411yescharacteristic
704C22×Dic3—21no—
705C22×Dic3—21no—
706C2×Dic6—21no—
707C2×Dic6—22no—
708C2×Dic6—22no—
709C2×Dic6—21no—
710C2×Dic6—21no—
711C2×Dic6—21no—
712C2×Dic6—21no—
713C2×Dic6—21no—
714C2×Dic6—21no—
715C2×Dic6C2411yescharacteristic
716C2×Dic6C2411yescharacteristic
717C3×C4⋊C4—21no—
718C3×C4⋊C4—21no—
719C3×C4⋊C4—21no—
720C3×C4⋊C4—21no—
721C3×C4⋊C4—21no—
722C3×C4⋊C4—21no—
723C3×C4⋊C4—21no—
724C3×C4⋊C4—21no—
725C3×C4⋊C4—21no—
726C3×C4⋊C4—21no—
727C3×C4⋊C4—21no—
728C3×C4⋊C4—21no—
729C3×C4⋊C4—21no—
730C3×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
738C3×C4⋊C4C2×D411yescharacteristic
739C3×C4⋊C4C2×D411yescharacteristic
740C3×C4⋊C4C2×D411yescharacteristic
741C3×C4⋊C4C2×D411yescharacteristic
742C3×C4⋊C4C2×D411yescharacteristic
743C3×C4⋊C4C2×D411yescharacteristic
744C3×C4⋊C4C2×D411yescharacteristic
745C3×C4⋊C4C2×D411yescharacteristic
746C3×C4⋊C4C2×D411yescharacteristic
747C3×C4⋊C4C2×D411yescharacteristic
748C3×C4⋊C4C2×D411yescharacteristic
749C3×C4⋊C4C2×D411yescharacteristic
750C3×C4⋊C4C2×D411yescharacteristic
751C3×C4⋊C4C2×D411yescharacteristic
752C3×C4⋊C4C2×D411yescharacteristic
753C3×C4⋊C4C2411yescharacteristic
754C3×C4⋊C4C2411yescharacteristic
755C3×C4⋊C4C2411yescharacteristic
756C3×C4⋊C4C2411yescharacteristic
757C3×C22⋊C4—21no—
758C3×C22⋊C4—21no—
759C3×C22⋊C4—21no—
760C3×C22⋊C4—21no—
761C3×C22⋊C4—21no—
762C3×C22⋊C4—21no—
763C3×C22⋊C4—21no—
764C3×C22⋊C4—21no—
765C3×C22⋊C4—21no—
766C3×C22⋊C4—21no—
767C3×C22⋊C4—21no—
768C3×C22⋊C4—21no—
769C3×C22⋊C4—21no—
770C3×C22⋊C4—21no—
771C3×C22⋊C4—21no—
772C3×C22⋊C4—21no—
773C3×C22⋊C4—21no—
774C3×C22⋊C4—21no—
775C3×C22⋊C4C2×D411yescharacteristic
776C3×C22⋊C4C2×D411yescharacteristic
777C3×C22⋊C4C2×D411yescharacteristic
778C3×C22⋊C4C2×D411yescharacteristic
779C3×C42—21no—
780C3×C42—21no—
781C3×C42—21no—
782C3×C42—21no—
783C3×C42—21no—
784C3×C42—21no—
785C3×C42C2×D411yescharacteristic
786C3×C42C2×D411yescharacteristic
787C3×C42C2411yescharacteristic
788C3×C42C2411yescharacteristic
789C3×C42C2411yescharacteristic
790C3×C42C2411yescharacteristic
791C3×C42C2411yescharacteristic
792C3×C42C2411yescharacteristic
793#217—21no—
794#217—21no—
795#216—22no—
796#216—22no—
797#216—22no—
798#216—22no—
799#214—22no—
800#214—22no—
801#214—22no—
802#214—22no—
803C4⋊Dic3—21no—
804C4⋊Dic3—21no—
805C4⋊Dic3—21no—
806C4⋊Dic3—21no—
807C4⋊Dic3—21no—
808C4⋊Dic3—21no—
809C4⋊Dic3—21no—
810C4⋊Dic3C2411yescharacteristic
811C4⋊Dic3C2411yescharacteristic
812C4⋊Dic3C2411yescharacteristic
813C4⋊Dic3C2411yescharacteristic
814C4⋊Dic3C2411yescharacteristic
815C4⋊Dic3C2411yescharacteristic
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⋊C4—21no—
835Dic3⋊C4—21no—
836Dic3⋊C4—21no—
837Dic3⋊C4—21no—
838Dic3⋊C4—21no—
839Dic3⋊C4—21no—
840C4×Dic3—21no—
841C4×Dic3—21no—
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—
854C2×C3⋊C8C2411yescharacteristic
855C2×C3⋊C8C2411yescharacteristic
856C2×C3⋊C8C2411yescharacteristic
857C2×C3⋊C8C2411yescharacteristic
858C2×C3⋊C8C2411yescharacteristic
859C2×C3⋊C8C2411yescharacteristic
860C2×C3⋊C8C2411yescharacteristic
861C2×C3⋊C8C2411yescharacteristic
862C22×Q8—31no—
863C2×Q16—31no—
864C2×Q16—31no—
865C2×Q16—31no—
866C2×Q16—31no—
867C2×SD16—31no—
868C2×SD16—31no—
869C2×SD16—31no—
870C2×SD16—31no—
871C4⋊Q8—21no—
872C4⋊Q8—21no—
873C4⋊Q8—31no—
874C4⋊Q8—31no—
875C4⋊Q8—31no—
876C4⋊Q8—31no—
877C4⋊Q8—31no—
878C4⋊Q8—31no—
879C4⋊Q8—61no—
880C4⋊Q8—61no—
881C4⋊Q8—61no—
882C4⋊Q8—61no—
883C4⋊Q8—61no—
884C4⋊Q8—61no—
885C4⋊Q8—61no—
886C4⋊Q8—61no—
887C4⋊Q8—61no—
888C4⋊Q8—61no—
889C4⋊Q8—61no—
890C4⋊Q8—61no—
891C4⋊Q8—61no—
892C4⋊Q8—61no—
893C4⋊Q8#6711yescharacteristic
894C4⋊Q8#6711yescharacteristic
895C4⋊Q8C22×D311yescharacteristic
896C4⋊Q8C22×D311yescharacteristic
897C4⋊Q8C22×D311yescharacteristic
898#127C22×D311yescharacteristic
899#126—21no—
900#126—21no—
901#126—21no—
902#126—21no—
903#126—21no—
904#126—21no—
905#126—21no—
906#126—21no—
907#126—21no—
908#126—21no—
909#125—21no—
910#125—21no—
911#125—21no—
912#125—21no—
913#125—21no—
914#125—21no—
915#125—31no—
916#125—31no—
917#125—31no—
918#125—31no—
919#125—31no—
920#125—31no—
921#125—61no—
922#125—61no—
923#125—61no—
924#125—61no—
925#125—61no—
926#125—61no—
927#125—61no—
928#125—61no—
929#125—61no—
930#125—61no—
931#125—61no—
932#125—61no—
933#125—61no—
934#125—61no—
935#125#6711yescharacteristic
936#125#6711yescharacteristic
937#125C22×D311yescharacteristic
938#125C22×D311yescharacteristic
939#125C22×D311yescharacteristic
940#125C22×D311yescharacteristic
941#124—21no—
942#124—21no—
943#124—21no—
944#124—21no—
945#124C22×D311yescharacteristic
946#124C22×D311yescharacteristic
947#124C22×D311yescharacteristic
948#124C22×D311yescharacteristic
949#123—21no—
950#123—21no—
951#123—21no—
952#123—21no—
953#123—21no—
954#123—21no—
955#123—21no—
956#123—21no—
957#123—21no—
958#123—21no—
959C22⋊Q8—21no—
960C22⋊Q8—21no—
961C22⋊Q8—21no—
962C22⋊Q8—21no—
963C22⋊Q8—21no—
964C22⋊Q8—21no—
965C22⋊Q8—21no—
966C22⋊Q8—21no—
967C22⋊Q8—21no—
968C22⋊Q8—21no—
969C22⋊Q8—61no—
970C22⋊Q8—61no—
971C22⋊Q8—61no—
972C22⋊Q8—61no—
973C22⋊Q8—61no—
974C22⋊Q8—61no—
975C22⋊Q8#6711yescharacteristic
976C22⋊Q8#6711yescharacteristic
977C22⋊Q8#6711yescharacteristic
978C22⋊Q8#6711yescharacteristic
979C22⋊Q8C22×D311yescharacteristic
980C22⋊Q8C22×D311yescharacteristic
981#121—21no—
982#121—21no—
983#121C22×D311yescharacteristic
984#121C22×D311yescharacteristic
985C4×Q8—21no—
986C4×Q8—21no—
987C4×Q8—31no—
988C4×Q8—31no—
989C4×Q8—31no—
990C4×Q8—31no—
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—61no—
1000C4×Q8—61no—
1001C4×Q8—61no—
1002C4×Q8—61no—
1003C4×Q8—61no—
1004C4×Q8—61no—
1005C4×Q8—61no—
1006C4×Q8—61no—
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×Q8C22×D311yescharacteristic
1016C4×Q8C22×D311yescharacteristic
1017C4×Q8C22×D311yescharacteristic
1018C4×Q8C22×D311yescharacteristic
1019C4×Q8C22×D311yescharacteristic
1020C4×Q8C22×D311yescharacteristic
1021C4×Q8C22×D311yescharacteristic
1022C4×Q8C22×D311yescharacteristic
1023C4×Q8C22×D311yescharacteristic
1024C4×Q8C22×D311yescharacteristic
1025C4×D4—21no—
1026C4×D4—21no—
1027C4×D4—21no—
1028C4×D4—21no—
1029C4×D4C22×D311yescharacteristic
1030C4×D4C22×D311yescharacteristic
1031C4×D4C22×D311yescharacteristic
1032C4×D4C22×D311yescharacteristic
1033C4×D4C22×D311yescharacteristic
1034C4×D4C22×D311yescharacteristic
1035#117—21no—
1036#117—21no—
1037#117—21no—
1038#117—21no—
1039#117—31no—
1040#117—31no—
1041#117—61no—
1042#117—61no—
1043#117—61no—
1044#117—61no—
1045#117C22×D311yescharacteristic
1046#117C22×D311yescharacteristic
1047C2×C4⋊C4—21no—
1048C2×C4⋊C4—21no—
1049C2×C4⋊C4—31no—
1050C2×C4⋊C4—61no—
1051C2×C42—61no—
1052C2×C42C22×D311yescharacteristic
1053#107—31no—
1054#107—31no—
1055#107—31no—
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#107—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#106—31no—
1077C4⋊C8—31no—
1078C4⋊C8—31no—
1079C4⋊C8—31no—
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—
1089#103—31no—
1090#103—31no—
1091#103—31no—
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#102—31no—
1110#102—31no—
1111#102—31no—
1112#102—31no—
1113#102—31no—
1114#102—31no—
1115#102—31no—
1116#102—31no—
1117#102—31no—
1118#102—31no—
1119#102—31no—
1120#102—31no—
1121C22⋊C8—31no—
1122C22⋊C8—31no—
1123C22⋊C8—31no—
1124C22⋊C8—31no—
1125#97—31no—
1126#97—31no—
1127#97—31no—
1128#97—31no—
1129#97—31no—
1130#97—31no—
1131C4×C8—31no—
1132C4×C8—31no—
1133C4×C8—31no—
1134C4×C8—31no—
1135C4×C8—31no—
1136C4×C8—31no—
1137C23×C3—21no—
1138C23×C3—21no—
1139C23×C3C22×D411yescharacteristic
1140C3×Q8—21no—
1141C3×Q8—21no—
1142C3×Q8—21no—
1143C3×Q8—21no—
1144C3×Q8—41no—
1145C3×Q8—41no—
1146C3×Q8—41no—
1147C3×Q8—41no—
1148C3×Q8—81no—
1149C3×Q8—81no—
1150C3×D4—21no—
1151C3×D4—21no—
1152C3×D4—21no—
1153C3×D4—21no—
1154C3×D4—81no—
1155C3×D4—81no—
1156C3×D4—81no—
1157C3×D4—81no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—41no—
1167C2×C3×C4—41no—
1168C2×C3×C4—81no—
1169C2×C3×C4—81no—
1170C2×C3×C4—81no—
1171C2×C3×C4—81no—
1172C2×C3×C4—81no—
1173C2×C3×C4—81no—
1174C2×C3×C4C22×D411yescharacteristic
1175C2×C3×C4C22×D411yescharacteristic
1176C2×C3×C4C22×D411yescharacteristic
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×C4C22×D411yescharacteristic
1184C2×C3×C4C22×D411yescharacteristic
1185C2×C3×C4C22×D411yescharacteristic
1186C2×C3×C4C22×D411yescharacteristic
1187C2×C3×C4C2511yescharacteristic
1188C2×Dic3—24no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—81no—
1198Dic6—24no—
1199Dic6—21no—
1200Dic6—21no—
1201Dic6—42no—
1202Dic6—81no—
1203Dic6—81no—
1204Dic6—81no—
1205Dic6—81no—
1206Dic6—81no—
1207Dic62−1+412yes—
1208Dic62−1+412yes—
1209C3⋊C8—21no—
1210C3⋊C8—21no—
1211C3⋊C8—21no—
1212C3⋊C8—21no—
1213C3⋊C8—21no—
1214C3⋊C8—21no—
1215C3⋊C8—21no—
1216C3⋊C8—21no—
1217C2×Q8—21no—
1218C2×Q8—21no—
1219C2×Q8—31no—
1220C2×Q8—31no—
1221C2×Q8—62no—
1222C2×Q8—62no—
1223C2×Q8—61no—
1224C2×Q8—61no—
1225C2×Q8—61no—
1226C2×Q8—61no—
1227C2×Q8—61no—
1228C2×Q8—61no—
1229C2×Q8—61no—
1230C2×Q8C2×#6711yescharacteristic
1231C2×Q8C2×#6711yescharacteristic
1232C2×Q8C2×#6711yescharacteristic
1233C2×Q8C2×#6711yescharacteristic
1234C2×Q8C23×D311yescharacteristic
1235C2×Q8C23×D311yescharacteristic
1236C2×D4—21no—
1237C2×D4—21no—
1238C2×D4—21no—
1239C2×D4—21no—
1240C2×D4C23×D311yescharacteristic
1241C2×D4C23×D311yescharacteristic
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—61no—
1249C22×C4—61no—
1250C22×C4C2×#6711yescharacteristic
1251C22×C4C2×#6711yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253Q16—62no—
1254Q16—62no—
1255Q16—62no—
1256Q16—62no—
1257SD16—62no—
1258SD16—62no—
1259SD16—62no—
1260SD16—62no—
1261C2×C8—31no—
1262C2×C8—31no—
1263C2×C8—31no—
1264C2×C8—31no—
1265C2×C8—31no—
1266C2×C8—31no—
1267C2×C8—31no—
1268C2×C8—31no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
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—61no—
1296C4⋊C4—61no—
1297C4⋊C4—61no—
1298C4⋊C4—61no—
1299C4⋊C4—61no—
1300C4⋊C4—61no—
1301C4⋊C4—61no—
1302C4⋊C4—61no—
1303C4⋊C4—61no—
1304C4⋊C4—61no—
1305C4⋊C4—61no—
1306C4⋊C4—61no—
1307C4⋊C4—61no—
1308C4⋊C4—61no—
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⋊C4C2×#6711yescharacteristic
1327C4⋊C4C2×#6711yescharacteristic
1328C4⋊C4C2×#6711yescharacteristic
1329C4⋊C4C2×#6711yescharacteristic
1330C4⋊C4C2×#6711yescharacteristic
1331C4⋊C4C2×#6711yescharacteristic
1332C4⋊C4C2×#6711yescharacteristic
1333C4⋊C4C2×#6711yescharacteristic
1334C4⋊C4C2×#6711yescharacteristic
1335C4⋊C4C2×#6711yescharacteristic
1336C4⋊C4C2×#6711yescharacteristic
1337C4⋊C4C2×#6711yescharacteristic
1338C4⋊C4C2×#6711yescharacteristic
1339C4⋊C4C2×#6711yescharacteristic
1340C4⋊C4C2×#6711yescharacteristic
1341C4⋊C4C2×#6711yescharacteristic
1342C4⋊C4C23×D311yescharacteristic
1343C4⋊C4C23×D311yescharacteristic
1344C4⋊C4C23×D311yescharacteristic
1345C4⋊C4C23×D311yescharacteristic
1346C22⋊C4—21no—
1347C22⋊C4—21no—
1348C22⋊C4—21no—
1349C22⋊C4—21no—
1350C22⋊C4—21no—
1351C22⋊C4—21no—
1352C22⋊C4—21no—
1353C22⋊C4—21no—
1354C22⋊C4—21no—
1355C22⋊C4—21no—
1356C22⋊C4—21no—
1357C22⋊C4—21no—
1358C22⋊C4—21no—
1359C22⋊C4—21no—
1360C22⋊C4—21no—
1361C22⋊C4—21no—
1362C22⋊C4—21no—
1363C22⋊C4—21no—
1364C22⋊C4—61no—
1365C22⋊C4—61no—
1366C22⋊C4C2×#6711yescharacteristic
1367C22⋊C4C2×#6711yescharacteristic
1368C22⋊C4C2×#6711yescharacteristic
1369C22⋊C4C2×#6711yescharacteristic
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—21no—
1375C42—21no—
1376C42—61no—
1377C42—61no—
1378C42—61no—
1379C42—61no—
1380C42—61no—
1381C42—61no—
1382C42—61no—
1383C42—61no—
1384C42—61no—
1385C42—61no—
1386C42—61no—
1387C42—61no—
1388C42—61no—
1389C42—61no—
1390C42C2×#6711yescharacteristic
1391C42C2×#6711yescharacteristic
1392C42C23×D311yescharacteristic
1393C42C23×D311yescharacteristic
1394C42C23×D311yescharacteristic
1395C42C23×D311yescharacteristic
1396C42C23×D311yescharacteristic
1397C42C23×D311yescharacteristic
1398C22×C3—21no—
1399C22×C3—21no—
1400C22×C3—21no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3C23×D411yescharacteristic
1408C3×C4—21no—
1409C3×C4—21no—
1410C3×C4—21no—
1411C3×C4—21no—
1412C3×C4—21no—
1413C3×C4—21no—
1414C3×C4—21no—
1415C3×C4—21no—
1416C3×C4—21no—
1417C3×C4—21no—
1418C3×C4—21no—
1419C3×C4—21no—
1420C3×C4—21no—
1421C3×C4—41no—
1422C3×C4—41no—
1423C3×C4—41no—
1424C3×C4—41no—
1425C3×C4—41no—
1426C3×C4—41no—
1427C3×C4C2×2−1+411yescharacteristic
1428C3×C4C2×2−1+411yescharacteristic
1429Dic3—22no—
1430Dic3—22no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437C23—21no—
1438C23—21no—
1439C23C22×#6711yescharacteristic
1440Q8—21no—
1441Q8—21no—
1442Q8—21no—
1443Q8—21no—
1444Q8—32no—
1445Q8—32no—
1446Q8—41no—
1447Q8—41no—
1448Q8—41no—
1449Q8—41no—
1450Q8—64no—
1451Q8—61no—
1452Q8—61no—
1453Q8—81no—
1454Q8—81no—
1455Q8—122no—
1456Q8—241no—
1457Q8—241no—
1458Q8—241no—
1459Q8—241no—
1460Q8—241no—
1461D4—21no—
1462D4—21no—
1463D4—21no—
1464D4—21no—
1465D4—81no—
1466D4—81no—
1467D4—81no—
1468D4—81no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—64no—
1480C2×C4—61no—
1481C2×C4—61no—
1482C2×C4—61no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—81no—
1489C2×C4—81no—
1490C2×C4—81no—
1491C2×C4—81no—
1492C2×C4—81no—
1493C2×C4—81no—
1494C2×C4—241no—
1495C2×C4C22×#6711yescharacteristic
1496C2×C4C22×#6711yescharacteristic
1497C2×C4C22×#6711yescharacteristic
1498C2×C4C22×#6711yescharacteristic
1499C2×C4C22×#6711yescharacteristic
1500C2×C4C22×#6711yescharacteristic
1501C2×C4C22×#6711yescharacteristic
1502C2×C4C22×#6711yescharacteristic
1503C2×C4C22×#6711yescharacteristic
1504C2×C4C22×#6711yescharacteristic
1505C2×C4C22×#6711yescharacteristic
1506C2×C4C22×#6711yescharacteristic
1507C2×C4C22×#6711yescharacteristic
1508C2×C4C24×D311yescharacteristic
1509C8—61no—
1510C8—61no—
1511C8—61no—
1512C8—61no—
1513C8—61no—
1514C8—61no—
1515C8—61no—
1516C8—61no—
1517C2×C3—41no—
1518C2×C3—81no—
1519C2×C3—81no—
1520C2×C3#348611yescharacteristic
1521C2×C3#358411yescharacteristic
1522C2×C3#358611yescharacteristic
1523C22—21no—
1524C22—21no—
1525C22—21no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22C23×#6711yescharacteristic
1533C4—21no—
1534C4—21no—
1535C4—21no—
1536C4—21no—
1537C4—21no—
1538C4—21no—
1539C4—21no—
1540C4—21no—
1541C4—21no—
1542C4—21no—
1543C4—21no—
1544C4—21no—
1545C4—21no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—62no—
1553C4—62no—
1554C4—121no—
1555C4—121no—
1556C4—121no—
1557C4—121no—
1558C4—121no—
1559C4—121no—
1560C4D3×2−1+411yescharacteristic
1561C4D3×2−1+411yescharacteristic
1562C3#6185611yescharacteristic, complemented, Sylow
1563C2—41no—
1564C2—81no—
1565C2—81no—
1566C2#8729411yescharacteristic
1567C2#8729711yescharacteristic
1568C2#8729911yescharacteristic
subgroupG/H
centerC22C23×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3557C2
socleC22×C3C23×D4
prime radicalC3×#540C22
hypercenter#3557D3
hypocenterC3#61856
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #533 ◁ #3557

Complements

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

NH ≅ G/Ntype
2. #86258C2semidirect
3. #83719C2semidirect
4. #83718C2semidirect
5. #83718C2semidirect
6. #83717C2semidirect
7. #83684C2semidirect
8. #83684C2semidirect
9. #83683C2semidirect
10. #83682C2semidirect
11. #83678C2semidirect
12. #83678C2semidirect
13. #83677C2semidirect
14. #83676C2semidirect
15. #83632C2semidirect
16. #83632C2semidirect
17. #83631C2semidirect
18. #83629C2semidirect
19. #83467C2semidirect
20. #83467C2semidirect
21. #83455C2semidirect
22. #83454C2semidirect
23. #83451C2semidirect
24. #83442C2semidirect
27. #83331C2semidirect
28. #83153C2semidirect
29. #83152C2semidirect
30. #83125C2semidirect
31. #83122C2semidirect
1562. C3#61856semidirect

Maximal subgroups

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

subgroupindex
C3×#35572
#862582
#837192
#837182
#837172
#836842
#836832
#836822
#836782
#836772
#836762
#836322
#836312
#836292
#834672
#834552
#834542
#834512
#834422
#834392
#834302
#833312
#831532
#831522
#831252
#831222
#618563