Finite Group Databasebeta

← #7650725

Subgroups — #7650725

Order 512.

4330 conjugacy classes of subgroups.

The subgroup lattice has 1589 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42753C212yesmaximal, complemented
2#42728C212yesmaximal, complemented
3#42728C212yesmaximal, complemented
4#42636C212yesmaximal, complemented
5#42636C212yesmaximal, complemented
6#42623C212yesmaximal, complemented
7#42573C212yesmaximal, complemented
8#42546C212yesmaximal, complemented
9#41394C214yesmaximal, complemented
10#40564C214yesmaximal, complemented
11#40202C212yesmaximal, complemented
12#40178C212yesmaximal, complemented
13#40096C212yesmaximal, complemented
14#40051C212yesmaximal, complemented
15#39250C212yesmaximal, complemented
16#39250C212yesmaximal, complemented
17#39032C212yesmaximal, complemented
18#39032C212yesmaximal, complemented
19#38389C214yesmaximal
20#37850C214yesmaximal
21#35640C211yesmaximal, characteristic, complemented
22#35627C211yesmaximal, characteristic, complemented
23#35585C211yesmaximal, characteristic, complemented
24#35585C211yesmaximal, characteristic, complemented
25#35544C211yesmaximal, characteristic
26#35544C211yesmaximal, characteristic
27#35339C211yesmaximal, characteristic, complemented
28#35265C211yesmaximal, characteristic, complemented
29#35224C211yesmaximal, characteristic
30#34814C211yesmaximal, characteristic
31#34814C211yesmaximal, characteristic
32C2×#2442C211yesmaximal, characteristic
33#34272C211yesmaximal, characteristic, complemented
34#34217C211yesmaximal, characteristic, complemented
35#34178C211yesmaximal, characteristic
36C2×#544C2211yescharacteristic
37C22×#125C2211yescharacteristic
38C23×C4⋊C4C2211yescharacteristic
39#2864C2212yescomplemented
40#2864C2212yescomplemented
41#2864C2212yescomplemented
42#2859C2212yescomplemented
43#2848C2214yes—
44#2839C2214yescomplemented
45#2839C2214yescomplemented
46#2839C2214yescomplemented
47#2833C2214yescomplemented
48#2802C2214yescomplemented
49#2802C2214yescomplemented
50#2794C2214yescomplemented
51#2794C2214yescomplemented
52#2794C2214yescomplemented
53#2794C2214yescomplemented
54#2789C2214yescomplemented
55#2789C2214yescomplemented
56#2776C2214yescomplemented
57#2776C2214yescomplemented
58#2766C2214yescomplemented
59#2766C2214yescomplemented
60#2758C2214yescomplemented
61#2758C2214yescomplemented
62#2747C2214yes—
63#2747C2214yes—
64#2747C2214yes—
65#2744C2214yes—
66#2744C2214yes—
67#2744C2214yes—
68#2739C2214yes—
69#2739C2214yes—
70#2739C2214yes—
71#2722C2214yes—
72#2722C2214yes—
73#2722C2214yes—
74#2719C2214yescomplemented
75#2719C2214yescomplemented
76#2704C2214yes—
77#2698C2214yes—
78#2690C2214yes—
79#2689C2214yes—
80#2666C2214yescomplemented
81#2655C2214yescomplemented
82#2655C2214yescomplemented
83#2655C2214yescomplemented
84#2655C2214yescomplemented
85#2655C2214yescomplemented
86#2655C2214yescomplemented
87#2652C2214yes—
88#2652C2214yes—
89#2647C2212yescomplemented
90#2647C2212yescomplemented
91#2647C2212yescomplemented
92#2647C2212yescomplemented
93#2634C2214yescomplemented
94#2629C2214yes—
95#2627C2214yes—
96#2625C2214yes—
97#2583C2214yes—
98#2571C2212yescomplemented
99#2571C2212yescomplemented
100#2570C2212yescomplemented
101#2570C2212yescomplemented
102#2570C2212yescomplemented
103#2570C2212yescomplemented
104#2570C2212yescomplemented
105#2570C2212yescomplemented
106#2569C2214yes—
107#2569C2214yes—
108#2569C2214yes—
109#2569C2214yes—
110#2552C2212yescomplemented
111#2552C2212yescomplemented
112#2552C2212yescomplemented
113#2552C2212yescomplemented
114#2550C2212yescomplemented
115#2550C2212yescomplemented
116#2550C2212yescomplemented
117#2550C2212yescomplemented
118#2524C2214yescomplemented
119#2524C2214yescomplemented
120#2524C2214yescomplemented
121#2509C2212yescomplemented
122#2509C2212yescomplemented
123#2509C2212yescomplemented
124#2509C2212yescomplemented
125#2509C2212yescomplemented
126#2509C2212yescomplemented
127#2509C2212yescomplemented
128#2508C2212yescomplemented
129#2508C2212yescomplemented
130#2508C2212yescomplemented
131#2508C2212yescomplemented
132#2508C2212yescomplemented
133#2508C2212yescomplemented
134#2508C2212yescomplemented
135#2507C2212yescomplemented
136#2507C2212yescomplemented
137#2507C2212yescomplemented
138#2507C2212yescomplemented
139#2507C2212yescomplemented
140#2506C2212yescomplemented
141#2506C2212yescomplemented
142#2506C2212yescomplemented
143#2506C2212yescomplemented
144#2506C2212yescomplemented
145#2505C2214yes—
146#2505C2214yes—
147#2505C2214yes—
148#2502C2214yes—
149#2497C2211yescharacteristic
150#2497C2211yescharacteristic
151#2497C2212yes—
152#2497C2212yes—
153#2497C2212yes—
154#2497C2211yescharacteristic
155#2497C2211yescharacteristic
156#2497C2212yes—
157#2496C2212yes—
158#2496C2211yescharacteristic
159#2496C2212yes—
160#2496C2212yes—
161#2496C2214yes—
162#2496C2214yes—
163#2496C2211yescharacteristic
164#2496C2212yes—
165#2496C2211yescharacteristic
166#2496C2211yescharacteristic
167#2495C2212yes—
168#2495C2212yes—
169#2495C2212yes—
170#2495C2212yes—
171#2495C2211yescharacteristic
172#2495C2211yescharacteristic
173#2495C2211yescharacteristic
174#2495C2211yescharacteristic
175#2494C2212yes—
176#2494C2212yes—
177#2494C2211yescharacteristic
178#2494C2211yescharacteristic
179#2494C2211yescharacteristic
180#2494C2212yes—
181#2494C2211yescharacteristic
182#2494C2212yes—
183#2493C2212yes—
184#2493C2212yes—
185#2493C2214yes—
186#2493C2214yes—
187#2493C2212yes—
188#2493C2212yes—
189#2489C2214yes—
190#2480C2214yes—
191#2480C2214yes—
192#2480C2212yes—
193#2480C2212yes—
194#2480C2212yes—
195#2480C2212yes—
196#2478C2214yes—
197#2478C2214yes—
198#2475C2214yes—
199#2475C2214yes—
200#2473C2214yes—
201#2462C2214yescomplemented
202#2442C2214yes—
203#2442C2214yes—
204#2442C2212yes—
205#2442C2212yes—
206#2442C2212yes—
207#2442C2212yes—
208#2442C2212yes—
209#2442C2212yes—
210#2442C2212yes—
211#2442C2212yes—
212#2442C2212yes—
213#2442C2212yes—
214#2442C2212yes—
215#2442C2212yes—
216#2440C2212yes—
217#2440C2212yes—
218#2440C2212yes—
219#2440C2212yes—
220#2421C2214yes—
221#2401C2212yes—
222#2401C2212yes—
223#2401C2212yes—
224#2401C2212yes—
225C2×#400C2212yes—
226C2×#398C2212yes—
227#2370C2212yescomplemented
228#2370C2212yescomplemented
229#2370C2212yescomplemented
230#2370C2212yescomplemented
231#2370C2212yescomplemented
232#2370C2212yescomplemented
233#2369C2212yescomplemented
234#2368C2214yes—
235#2365C2212yescomplemented
236#2360C2214yes—
237#2345C2212yes—
238#2345C2212yes—
239#2345C2212yes—
240#2345C2214yes—
241#2345C2212yes—
242#2345C2214yes—
243#2344C2212yes—
244#2344C2212yes—
245#2344C2212yes—
246#2344C2212yes—
247#2334C2214yes—
248#2334C2214yes—
249#2331C2212yescomplemented
250#2330C2212yescomplemented
251#2330C2212yescomplemented
252#2330C2212yescomplemented
253#2323C2214yes—
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2316C2211yescharacteristic
261#2316C2211yescharacteristic
262#2316C2211yescharacteristic
263#2316C2211yescharacteristic
264#2316C2211yescharacteristic
265#2314C2214yes—
266#2313C2214yes—
267C4×C4⋊Q8C2212yescomplemented
268C4×#125C2212yescomplemented
269C4×#125C2212yescomplemented
270C4×#125C2212yescomplemented
271C4×#126C2212yes—
272C4×#126C2212yes—
273C4×#126C2212yes—
274C4×#126C2212yes—
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279C2×#389C2211yescharacteristic
280C2×#389C2211yescharacteristic
281C2×#385C2212yes—
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic
284C2×#382C2211yescharacteristic
285#2280C2211yescharacteristic
286#2280C2211yescharacteristic
287#2280C2214yes—
288#2280C2211yescharacteristic
289#2280C2211yescharacteristic
290C2×#380C2211yescharacteristic
291C2×#380C2212yes—
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C24×C4C2311yescharacteristic
300C24×C4C2312yes—
301#544—28no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×#126C2312yes—
305C2×#126C2312yes—
306C2×#126C2312yes—
307C2×#126C2312yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125—28no—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C4×Q8C2314yes—
324C2×#117C2311yescharacteristic
325C2×#117C2311yescharacteristic
326C2×#117C2311yescharacteristic
327C2×#117C2311yescharacteristic
328C2×#117C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2311yescharacteristic
331C2×#117C2311yescharacteristic
332C2×#117C2314yes—
333C2×#117C2314yes—
334C22×C4⋊C4—28no—
335C22×C4⋊C4C2312yes—
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2311yescharacteristic
339C22×C4⋊C4C2312yes—
340C22×C4⋊C4C2312yes—
341C22×C4⋊C4C2312yes—
342C22×C4⋊C4C2312yes—
343C22×C4⋊C4C2312yes—
344C22×C4⋊C4C2312yes—
345C22×C4⋊C4C2312yes—
346C22×C4⋊C4C2312yes—
347C22×C4⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2312yes—
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353#401C2314yes—
354#401C2314yes—
355#401C2312yes—
356#401C2312yes—
357#401C2312yes—
358#401C2312yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2312yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2312yes—
379#400C2312yes—
380#400C2312yes—
381#400C2312yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2312yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#397C2312yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2312yes—
455#396C2312yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2312yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#389C2311yescharacteristic
471#389C2312yes—
472#389C2312yes—
473#389C2312yes—
474#389C2312yes—
475#389C2312yes—
476#389C2311yescharacteristic
477#389C2314yes—
478#389C2312yes—
479#389C2312yes—
480#389C2311yescharacteristic
481#389C2312yes—
482#389C2312yes—
483#389C2311yescharacteristic
484#389C2314yes—
485#389C2314yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#387C2312yes—
564#387C2312yes—
565#387C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2312yes—
630#385C2312yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2312yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2312yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#385C2312yes—
649#384C2312yes—
650#384C2314yes—
651#384C2312yes—
652#384C2312yes—
653#384C2312yes—
654#384C2312yes—
655#384C2312yes—
656#384C2311yescharacteristic
657#384C2311yescharacteristic
658#384C2314yes—
659#384C2311yescharacteristic
660#384C2311yescharacteristic
661#383C2312yes—
662#383C2312yes—
663#383C2312yes—
664#383C2312yes—
665#383C2314yes—
666#383C2314yes—
667#382C2311yescharacteristic
668#382C2311yescharacteristic
669#382C2312yes—
670#382C2314yes—
671#382C2312yes—
672#382C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2312yes—
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2314yes—
680#382C2314yes—
681#382C2312yes—
682#382C2314yes—
683#382C2314yes—
684#382C2311yescharacteristic
685#382C2311yescharacteristic
686#381C2312yes—
687#381C2312yes—
688#381C2314yes—
689#381C2314yes—
690#381C2312yes—
691#381C2312yes—
692#380C2314yes—
693#380C2314yes—
694#380C2312yes—
695#380C2314yes—
696#380C2314yes—
697#380C2312yes—
698#380C2312yes—
699#380C2314yes—
700#380C2314yes—
701#380C2314yes—
702#380C2314yes—
703#380C2311yescharacteristic
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2314yes—
708#380C2312yes—
709#380C2314yes—
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2314yes—
715#380C2314yes—
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#379C2312yes—
730#379C2312yes—
731#379C2312yes—
732#379C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C22⋊C4C2311yescharacteristic
777C4×C22⋊C4C2311yescharacteristic
778C4×C22⋊C4C2311yescharacteristic
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804C2×#95C2312yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2311yescharacteristic
809C2×#95C2312yes—
810C2×#95C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C25C2411yescharacteristic
814C22×Q8C2414yes—
815C23×C4—24no—
816C23×C4—24no—
817C23×C4—24no—
818C23×C4—28no—
819C23×C4—44no—
820C23×C4—82no—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C4⋊Q8—28no—
838C4⋊Q8—28no—
839#126—44no—
840#126—44no—
841#126—44no—
842#126—44no—
843#126—48no—
844#126—48no—
845#125—28no—
846#125—28no—
847#125—28no—
848#125—28no—
849#125—28no—
850#125—28no—
851#125—84no—
852#125—84no—
853#125—84no—
854C22⋊Q8—216no—
855C22⋊Q8—48no—
856C22⋊Q8—84no—
857C4×Q8—84no—
858#117—24no—
859#117—24no—
860#117—24no—
861#117—24no—
862#117—24no—
863#117—24no—
864#117—24no—
865#117—24no—
866#117—48no—
867#117—84no—
868C2×C4⋊C4—28no—
869C2×C4⋊C4—24no—
870C2×C4⋊C4—28no—
871C2×C4⋊C4—28no—
872C2×C4⋊C4—24no—
873C2×C4⋊C4—24no—
874C2×C4⋊C4—28no—
875C2×C4⋊C4—28no—
876C2×C4⋊C4—28no—
877C2×C4⋊C4—28no—
878C2×C4⋊C4—82no—
879C2×C4⋊C4—82no—
880C2×C4⋊C4#4118yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C22⋊C4—42no—
965C2×C22⋊C4—44no—
966C2×C22⋊C4—42no—
967C2×C22⋊C4C2411yescharacteristic
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2411yescharacteristic
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C42—24no—
1002C2×C42—24no—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035#95C2411yescharacteristic
1036#95C2411yescharacteristic
1037#95C2411yescharacteristic
1038#95C2411yescharacteristic
1039#95C2411yescharacteristic
1040#95C2411yescharacteristic
1041#95C2411yescharacteristic
1042#95C2411yescharacteristic
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131C24—22no—
1132C24—22no—
1133C24—22no—
1134C24—22no—
1135C24—22no—
1136C24—41no—
1137C24—41no—
1138C24C2511yescharacteristic
1139C24C2511yescharacteristic
1140C24C2511yescharacteristic
1141C2×Q8—28no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—28no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—24no—
1155C22×C4—28no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—28no—
1169C22×C4—42no—
1170C22×C4—44no—
1171C22×C4—42no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—42no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—42no—
1188C22×C4—416no—
1189C22×C4—816no—
1190C22×C4C2×#4118yes—
1191C22×C4C2×#4114yes—
1192C22×C42−1+414yes—
1193C22×C42−1+414yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2514yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2514yes—
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2514yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—28no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4C2×#4118yes—
1308C4⋊C4C2×#4118yes—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—44no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—24no—
1348C42—24no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—44no—
1360C42—42no—
1361C42—42no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—42no—
1367C42—44no—
1368C42—42no—
1369C42—42no—
1370C42—42no—
1371C42—42no—
1372C42—42no—
1373C42—44no—
1374C42—44no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—28no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—44no—
1398C23C22×#4112yes—
1399C23C2×2−1+412yes—
1400C23C2×2−1+412yes—
1401C23#58512yes—
1402C23#58512yes—
1403C23C2611yescharacteristic
1404Q8—88no—
1405C2×C4—24no—
1406C2×C4—24no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—48no—
1495C2×C4—416no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—88no—
1502C2×C4—82no—
1503C2×C4—82no—
1504C2×C4—84no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4—84no—
1508C2×C4—84no—
1509C2×C4#541116yes—
1510C2×C4C22×#4118yes—
1511C2×C4C22×#4112yes—
1512C2×C4C22×#4112yes—
1513C2×C4C2×2−1+412yes—
1514C2×C4C2×2−1+412yes—
1515C2×C4C2×2−1+412yes—
1516C2×C4C2×2−1+412yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—416no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22C2×#54114yes—
1539C22C23×#4111yescharacteristic
1540C22C22×2−1+411yescharacteristic
1541C22C22×2−1+411yescharacteristic
1542C22C2×#58511yescharacteristic
1543C22C2×#58511yescharacteristic
1544C22H(7,𝔽2)11yescharacteristic
1545C222−1+611yescharacteristic
1546C4—28no—
1547C4—44no—
1548C4—41no—
1549C4—41no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—41no—
1555C4—41no—
1556C4—44no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—42no—
1572C4—42no—
1573C4—41no—
1574C4—41no—
1575C4—44no—
1576C4C2×#54114yes—
1577C4C2×#54114yes—
1578C2—24no—
1579C2—42no—
1580C2—42no—
1581C2C22×#54111yescharacteristic
1582C2#6282511yescharacteristic
1583C2#6287711yescharacteristic
1584C2#6292811yescharacteristic
1585C2#6295811yescharacteristic
1586C2#6299011yescharacteristic
1587C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC25C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42753C2semidirect
2. #42728C2semidirect
3. #42728C2semidirect
4. #42636C2semidirect
5. #42636C2semidirect
6. #42623C2semidirect
7. #42573C2semidirect
8. #42546C2semidirect
9. #41394C2semidirect
10. #40564C2semidirect
11. #40202C2semidirect
12. #40178C2semidirect
13. #40096C2semidirect
14. #40051C2semidirect
15. #39250C2semidirect
16. #39250C2semidirect
17. #39032C2semidirect
18. #39032C2semidirect
21. #35640C2semidirect
22. #35627C2semidirect
23. #35585C2semidirect
24. #35585C2semidirect
27. #35339C2semidirect
28. #35265C2semidirect
33. #34272C2semidirect
34. #34217C2semidirect
39. #2864C22semidirect
40. #2864C22semidirect
41. #2864C22semidirect
42. #2859C22semidirect
44. #2839C22semidirect
45. #2839C22semidirect
46. #2839C22semidirect
47. #2833C22semidirect
48. #2802C22semidirect
49. #2802C22semidirect
50. #2794C22semidirect
51. #2794C22semidirect
52. #2794C22semidirect
53. #2794C22semidirect
54. #2789C22semidirect
55. #2789C22semidirect
56. #2776C22semidirect
57. #2776C22semidirect
58. #2766C22semidirect
59. #2766C22semidirect
60. #2758C22semidirect
61. #2758C22semidirect
74. #2719C22semidirect
75. #2719C22semidirect
80. #2666C22semidirect
81. #2655C22semidirect
82. #2655C22semidirect
83. #2655C22semidirect
84. #2655C22semidirect
85. #2655C22semidirect
86. #2655C22semidirect
89. #2647C22semidirect
90. #2647C22semidirect
91. #2647C22semidirect
92. #2647C22semidirect
93. #2634C22semidirect
98. #2571C22semidirect
99. #2571C22semidirect
100. #2570C22semidirect
101. #2570C22semidirect
102. #2570C22semidirect
103. #2570C22semidirect
104. #2570C22semidirect
105. #2570C22semidirect
110. #2552C22semidirect
111. #2552C22semidirect
112. #2552C22semidirect
113. #2552C22semidirect
114. #2550C22semidirect
115. #2550C22semidirect
116. #2550C22semidirect
117. #2550C22semidirect
118. #2524C22semidirect
119. #2524C22semidirect
120. #2524C22semidirect
121. #2509C22semidirect
122. #2509C22semidirect
123. #2509C22semidirect
124. #2509C22semidirect
125. #2509C22semidirect
126. #2509C22semidirect
127. #2509C22semidirect
128. #2508C22semidirect
129. #2508C22semidirect
130. #2508C22semidirect
131. #2508C22semidirect
132. #2508C22semidirect
133. #2508C22semidirect
134. #2508C22semidirect
135. #2507C22semidirect
136. #2507C22semidirect
137. #2507C22semidirect
138. #2507C22semidirect
139. #2507C22semidirect
140. #2506C22semidirect
141. #2506C22semidirect
142. #2506C22semidirect
143. #2506C22semidirect
144. #2506C22semidirect
201. #2462C22semidirect
227. #2370C22semidirect
228. #2370C22semidirect
229. #2370C22semidirect
230. #2370C22semidirect
231. #2370C22semidirect
232. #2370C22semidirect
233. #2369C22semidirect
235. #2365C22semidirect
249. #2331C22semidirect
250. #2330C22semidirect
251. #2330C22semidirect
252. #2330C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×#125C22semidirect
269. C4×#125C22semidirect
270. C4×#125C22semidirect

Maximal subgroups

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

subgroupindex
#427532
#427282
#426362
#426232
#425732
#425462
#413942
#405642
#402022
#401782
#400962
#400512
#392502
#390322
#383892
#378502
#356402
#356272
#355852
#355442
#353392
#352652
#352242
#348142
C2×#24422
#342722
#342172
#341782