Finite Group Databasebeta

← #7715615

Subgroups — #7715615

Order 512.

5574 conjugacy classes of subgroups.

The subgroup lattice has 1753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#50255C212yesmaximal, complemented
2#50219C212yesmaximal, complemented
3#49703C212yesmaximal, complemented
4#49660C212yesmaximal, complemented
5#48971C212yesmaximal, complemented
6#48922C212yesmaximal, complemented
7#48113C212yesmaximal, complemented
8#48058C212yesmaximal, complemented
9#47661C214yesmaximal, complemented
10#47656C214yesmaximal, complemented
11#47178C214yesmaximal, complemented
12#47169C214yesmaximal, complemented
13#37969C212yesmaximal, complemented
14#37968C212yesmaximal, complemented
15#37857C212yesmaximal, complemented
16#37856C212yesmaximal, complemented
17#37787C212yesmaximal, complemented
18#37786C212yesmaximal, complemented
19#37665C212yesmaximal, complemented
20#37664C212yesmaximal, complemented
21#37512C212yesmaximal, complemented
22#37419C211yesmaximal, characteristic, complemented
23#37325C212yesmaximal, complemented
24#37307C211yesmaximal, characteristic, complemented
25#35305C211yesmaximal, characteristic, complemented
26#35302C212yesmaximal, complemented
27#35260C212yesmaximal, complemented
28#35250C211yesmaximal, characteristic
29#34412C211yesmaximal, characteristic, complemented
30#34411C211yesmaximal, characteristic, complemented
31#34044C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C2×#542C2212yes—
34C2×#536C2211yescharacteristic
35C2×#536C2211yescharacteristic, complemented
36C2×#535C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#529C2212yescomplemented
39C22×C22⋊Q8C2211yescharacteristic, complemented
40C22×#121C2211yescharacteristic
41C22×#117C2211yescharacteristic, complemented
42C22×#117C2211yescharacteristic, complemented
43#2857C2212yescomplemented
44#2855C2212yescomplemented
45#2854C2212yescomplemented
46#2850C2212yescomplemented
47#2848C2212yes—
48#2848C2212yescomplemented
49#2847C2212yes—
50#2847C2212yes—
51#2831C2214yescomplemented
52#2829C2214yescomplemented
53#2806C2214yescomplemented
54#2803C2214yescomplemented
55#2788C2214yescomplemented
56#2778C2214yescomplemented
57#2763C2214yescomplemented
58#2762C2214yescomplemented
59#2759C2214yescomplemented
60#2756C2214yescomplemented
61#2753C2214yescomplemented
62#2748C2212yescomplemented
63#2748C2212yescomplemented
64#2746C2214yescomplemented
65#2746C2214yescomplemented
66#2744C2214yescomplemented
67#2740C2214yescomplemented
68#2738C2214yescomplemented
69#2737C2214yescomplemented
70#2735C2214yes—
71#2735C2214yes—
72#2732C2214yescomplemented
73#2731C2214yescomplemented
74#2730C2214yescomplemented
75#2723C2214yescomplemented
76#2716C2214yescomplemented
77#2715C2214yescomplemented
78#2710C2214yescomplemented
79#2710C2214yescomplemented
80#2709C2212yescomplemented
81#2709C2212yescomplemented
82#2709C2214yescomplemented
83#2706C2214yescomplemented
84#2706C2214yescomplemented
85#2705C2214yescomplemented
86#2702C2214yescomplemented
87#2701C2214yes—
88#2700C2214yescomplemented
89#2697C2214yescomplemented
90#2697C2214yescomplemented
91#2697C2214yescomplemented
92#2696C2214yescomplemented
93#2696C2214yescomplemented
94#2692C2214yescomplemented
95#2691C2214yescomplemented
96#2687C2214yescomplemented
97#2686C2214yes—
98#2685C2214yescomplemented
99#2685C2214yescomplemented
100#2684C2212yescomplemented
101#2684C2212yescomplemented
102#2683C2212yescomplemented
103#2683C2212yescomplemented
104#2672C2214yescomplemented
105#2648C2214yescomplemented
106#2648C2214yescomplemented
107#2636C2214yescomplemented
108#2630C2214yescomplemented
109#2629C2212yescomplemented
110#2629C2212yescomplemented
111#2628C2212yescomplemented
112#2625C2212yescomplemented
113#2624C2212yes—
114#2620C2212yes—
115#2620C2212yescomplemented
116#2620C2212yescomplemented
117#2616C2212yes—
118#2616C2212yescomplemented
119#2615C2212yes—
120#2615C2212yes—
121#2610C2214yescomplemented
122#2609C2214yescomplemented
123#2609C2214yescomplemented
124#2601C2214yescomplemented
125#2601C2214yescomplemented
126#2598C2214yescomplemented
127#2597C2214yescomplemented
128#2586C2214yescomplemented
129#2579C2214yescomplemented
130#2577C2214yescomplemented
131#2576C2214yescomplemented
132#2574C2214yescomplemented
133#2573C2214yescomplemented
134#2554C2214yescomplemented
135#2553C2214yescomplemented
136#2534C2214yescomplemented
137#2532C2214yescomplemented
138#2531C2214yescomplemented
139#2526C2214yescomplemented
140#2522C2214yescomplemented
141#2515C2214yescomplemented
142#2500C2212yescomplemented
143#2499C2212yescomplemented
144#2497C2212yescomplemented
145#2496C2212yescomplemented
146#2495C2212yescomplemented
147#2494C2212yescomplemented
148#2492C2212yescomplemented
149#2491C2212yescomplemented
150#2490C2212yescomplemented
151#2489C2212yescomplemented
152#2481C2214yescomplemented
153#2481C2214yescomplemented
154#2480C2214yescomplemented
155#2479C2214yescomplemented
156#2479C2214yescomplemented
157#2477C2214yescomplemented
158#2477C2214yescomplemented
159#2474C2214yescomplemented
160#2474C2214yescomplemented
161#2472C2214yescomplemented
162#2472C2214yescomplemented
163#2471C2214yescomplemented
164#2470C2214yescomplemented
165#2461C2214yescomplemented
166#2459C2214yescomplemented
167#2457C2214yescomplemented
168#2449C2214yescomplemented
169#2445C2214yescomplemented
170#2441C2212yescomplemented
171#2441C2212yescomplemented
172#2440C2212yescomplemented
173#2440C2212yescomplemented
174#2439C2214yescomplemented
175#2437C2214yescomplemented
176#2436C2212yes—
177#2436C2212yescomplemented
178#2435C2214yes—
179#2435C2212yes—
180#2435C2212yescomplemented
181#2434C2212yescomplemented
182#2433C2212yes—
183#2432C2212yes—
184#2432C2212yescomplemented
185#2431C2212yes—
186#2431C2212yes—
187#2427C2212yescomplemented
188#2427C2212yescomplemented
189#2426C2212yescomplemented
190#2426C2212yescomplemented
191#2423C2212yescomplemented
192#2423C2212yescomplemented
193#2422C2212yescomplemented
194#2422C2212yescomplemented
195#2418C2214yescomplemented
196#2418C2214yescomplemented
197#2418C2214yescomplemented
198#2417C2214yescomplemented
199#2413C2214yescomplemented
200#2411C2214yescomplemented
201#2411C2214yescomplemented
202#2406C2212yes—
203#2406C2212yescomplemented
204#2405C2214yes—
205#2405C2212yes—
206#2405C2212yescomplemented
207#2404C2212yes—
208#2404C2212yes—
209#2403C2212yes—
210#2403C2212yes—
211#2380C2212yescomplemented
212#2379C2212yescomplemented
213#2376C2212yescomplemented
214#2375C2212yescomplemented
215#2374C2212yescomplemented
216#2372C2212yescomplemented
217#2366C2212yescomplemented
218#2363C2212yescomplemented
219#2362C2212yescomplemented
220#2361C2212yescomplemented
221#2360C2212yescomplemented
222#2358C2212yescomplemented
223#2347C2212yescomplemented
224#2346C2212yescomplemented
225Q8×C22⋊C4C2212yescomplemented
226D4×C22⋊C4C2212yescomplemented
227#2337C2214yescomplemented
228#2335C2214yescomplemented
229#2331C2214yescomplemented
230#2324C2212yes—
231#2324C2212yescomplemented
232#2324C2212yescomplemented
233#2323C2212yescomplemented
234#2323C2212yescomplemented
235#2323C2212yescomplemented
236#2321C2214yescomplemented
237#2314C2212yescomplemented
238#2311C2212yes—
239#2311C2211yescharacteristic
240#2311C2211yescharacteristic
241#2311C2211yescharacteristic
242#2311C2211yescharacteristic
243#2311C2211yescharacteristic
244#2311C2211yescharacteristic, complemented
245#2311C2211yescharacteristic, complemented
246#2311C2212yescomplemented
247#2311C2211yescharacteristic, complemented
248#2310C2212yescomplemented
249#2309C2212yes—
250#2308C2211yescharacteristic
251#2308C2211yescharacteristic
252#2308C2211yescharacteristic, complemented
253#2308C2211yescharacteristic, complemented
254C4×C22⋊Q8C2212yescomplemented
255C4×#121C2212yescomplemented
256#2297C2211yescharacteristic
257#2297C2212yes—
258#2297C2211yescharacteristic
259#2297C2212yescomplemented
260#2297C2211yescharacteristic, complemented
261#2297C2211yescharacteristic, complemented
262#2285C2212yescomplemented
263#2280C2212yes—
264#2280C2211yescharacteristic
265#2280C2212yescomplemented
266#2280C2211yescharacteristic, complemented
267C22×#41—28no—
268C22×#41—44no—
269C22×#41—44no—
270C22×#41C2311yescharacteristic
271C22×#41C2311yescharacteristic
272C22×#41C2311yescharacteristic
273C22×#41C2311yescharacteristic
274C22×#41C2311yescharacteristic
275C22×#41C2311yescharacteristic
276C22×#41C2311yescharacteristic
277C22×#41C2311yescharacteristic
278C23×Q8C2311yescharacteristic
279C23×Q8C2311yescharacteristic
280C23×D4C2311yescharacteristic
281C23×D4C2311yescharacteristic
282C23×D4C2311yescharacteristic
283C23×D4C2311yescharacteristic
284C23×D4C2312yes—
285C24×C4C2311yescharacteristic
286C24×C4C2311yescharacteristic
287C24×C4C2311yescharacteristic
288#542—48no—
289#536—28no—
290#536—44no—
291#535—28no—
292#535—44no—
293C2×C4⋊Q8C2312yes—
294C2×C4⋊Q8C2312yes—
295C2×C4⋊Q8C2312yes—
296C2×#127C2312yes—
297C2×#127C2312yes—
298#529—48no—
299C2×#126C2314yes—
300C2×#126C2314yes—
301C2×#126C2314yes—
302C2×#125C2312yes—
303C2×#124C2312yes—
304C2×#124C2312yes—
305C2×#124C2312yes—
306C2×#124C2312yes—
307C2×#124C2312yes—
308C2×#124C2312yes—
309C2×#124C2314yes—
310C2×#124C2314yes—
311C2×#123C2312yes—
312C2×#123C2312yes—
313C2×#123C2312yes—
314C2×#123C2314yes—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×C22⋊Q8—44no—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×#121—44no—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#120C2312yes—
343C2×#120C2312yes—
344C2×#120C2312yes—
345C2×#120C2312yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×#117—44no—
356C2×#117—44no—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2311yescharacteristic
372C2×#117C2314yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2314yes—
386C22×C42C2312yes—
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389#401C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
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#386C2311yescharacteristic
600#386C2311yescharacteristic
601#386C2312yes—
602#386C2311yescharacteristic
603#386C2311yescharacteristic
604#386C2312yes—
605#386C2312yes—
606#386C2311yescharacteristic
607#386C2311yescharacteristic
608#386C2312yes—
609#386C2311yescharacteristic
610#386C2311yescharacteristic
611#386C2312yes—
612#386C2311yescharacteristic
613#386C2311yescharacteristic
614#386C2311yescharacteristic
615#386C2312yes—
616#386C2311yescharacteristic
617#386C2311yescharacteristic
618#386C2311yescharacteristic
619#386C2311yescharacteristic
620#386C2312yes—
621#386C2312yes—
622#386C2311yescharacteristic
623#386C2312yes—
624#386C2312yes—
625#386C2312yes—
626#386C2312yes—
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#384C2312yes—
670#384C2312yes—
671#384C2312yes—
672#383C2314yes—
673#383C2314yes—
674#382C2312yes—
675#382C2314yes—
676#382C2314yes—
677#382C2314yes—
678#381C2312yes—
679#381C2312yes—
680#381C2312yes—
681#381C2312yes—
682#381C2314yes—
683#381C2312yes—
684#381C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2314yes—
710#379C2312yes—
711#379C2312yes—
712#379C2312yes—
713#379C2312yes—
714#379C2314yes—
715#379C2314yes—
716#379C2314yes—
717#379C2312yes—
718#379C2312yes—
719#379C2314yes—
720#379C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2312yes—
741C4×C22⋊C4C2312yes—
742C4×C22⋊C4C2312yes—
743C4×C22⋊C4C2312yes—
744C4×C22⋊C4C2312yes—
745C4×C22⋊C4C2312yes—
746#376C2314yes—
747C25C2411yescharacteristic
748C25C2411yescharacteristic
749C25C2411yescharacteristic
750C25C2412yes—
751C2×#41—24no—
752C2×#41—24no—
753C2×#41—24no—
754C2×#41—24no—
755C2×#41—24no—
756C2×#41—24no—
757C2×#41—24no—
758C2×#41—24no—
759C2×#41—24no—
760C2×#41—42no—
761C2×#41—42no—
762C2×#41—42no—
763C2×#41—42no—
764C2×#41—42no—
765C2×#41—42no—
766C2×#41—42no—
767C2×#41—42no—
768C2×#41—42no—
769C2×#41—42no—
770C2×#41—42no—
771C2×#41—42no—
772C2×#41—42no—
773C2×#41—42no—
774C2×#41—464no—
775C2×#41#4118yes—
776C22×Q8—24no—
777C22×Q8—24no—
778C22×Q8—42no—
779C22×Q8—42no—
780C22×Q8—42no—
781C22×Q8—42no—
782C22×Q8C2412yes—
783C22×Q8C2411yescharacteristic
784C22×Q8C2411yescharacteristic
785C22×Q8C2412yes—
786C22×Q8C2411yescharacteristic
787C22×Q8C2414yes—
788C22×Q8C2411yescharacteristic
789C22×D4—24no—
790C22×D4—24no—
791C22×D4—24no—
792C22×D4—24no—
793C22×D4—42no—
794C22×D4—42no—
795C22×D4—42no—
796C22×D4—42no—
797C22×D4—42no—
798C22×D4—42no—
799C22×D4—42no—
800C22×D4—42no—
801C22×D4—44no—
802C22×D4—84no—
803C22×D4C2412yes—
804C22×D4C2411yescharacteristic
805C22×D4C2411yescharacteristic
806C22×D4C2411yescharacteristic
807C22×D4C2411yescharacteristic
808C22×D4C2411yescharacteristic
809C22×D4C2411yescharacteristic
810C22×D4C2414yes—
811C22×D4C2414yes—
812C22×D4C2414yes—
813C22×D4C2414yes—
814C22×D4C2412yes—
815C22×D4C2411yescharacteristic
816C22×D4C2411yescharacteristic
817C22×D4C2411yescharacteristic
818C22×D4C2414yes—
819C22×D4C2414yes—
820C22×D4C2411yescharacteristic
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C23×C4—24no—
824C23×C4—24no—
825C23×C4—24no—
826C23×C4—24no—
827C23×C4—24no—
828C23×C4—24no—
829C23×C4—24no—
830C23×C4—42no—
831C23×C4—42no—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2414yes—
858C23×C4C2414yes—
859C4⋊Q8—28no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862#127—28no—
863#127—44no—
864#126—48no—
865#126—48no—
866#126—84no—
867#125—44no—
868#124—28no—
869#124—28no—
870#124—44no—
871#124—44no—
872#124—44no—
873#124—48no—
874#124—44no—
875#124—84no—
876#123—28no—
877#123—28no—
878#123—44no—
879#123—48no—
880#123—48no—
881#123—44no—
882#123—84no—
883#123—84no—
884#123—84no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—44no—
890C22⋊Q8—48no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—84no—
895C22⋊Q8—84no—
896C22⋊Q8—84no—
897#121—28no—
898#121—28no—
899#121—28no—
900#121—28no—
901#121—44no—
902#121—44no—
903#121—44no—
904#121—44no—
905#120—28no—
906#120—28no—
907#120—44no—
908#120—44no—
909#120—84no—
910#120—84no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—48no—
916C4×D4—84no—
917C4×D4—84no—
918#117—24no—
919#117—24no—
920#117—28no—
921#117—42no—
922#117—44no—
923#117—42no—
924#117—44no—
925#117—42no—
926#117—42no—
927#117—44no—
928#117—48no—
929#117—44no—
930#117—44no—
931#117—42no—
932#117—42no—
933#117—84no—
934C2×C4⋊C4—42no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4—42no—
937C2×C4⋊C4—42no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C22⋊C4—44no—
982C2×C22⋊C4—42no—
983C2×C22⋊C4—42no—
984C2×C22⋊C4—44no—
985C2×C22⋊C4—42no—
986C2×C22⋊C4—42no—
987C2×C22⋊C4—84no—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C42—28no—
1057C2×C42—42no—
1058C2×C42—42no—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127C24—22no—
1128C24—22no—
1129C24—22no—
1130C24—22no—
1131C24—22no—
1132C24—22no—
1133C24—22no—
1134C24—24no—
1135C24—41no—
1136C24—41no—
1137C24—42no—
1138C24—42no—
1139C24—42no—
1140C24—42no—
1141C24—42no—
1142C24—42no—
1143C24—42no—
1144C24—44no—
1145C24—44no—
1146C24—42no—
1147C24C2514yes—
1148C24C2511yescharacteristic
1149C24C2511yescharacteristic
1150C24C2511yescharacteristic
1151C24C2511yescharacteristic
1152C24C2511yescharacteristic
1153C24C2511yescharacteristic
1154C24C2511yescharacteristic
1155#41—416no—
1156#41—416no—
1157#41—416no—
1158#41—416no—
1159#41—416no—
1160#41—416no—
1161#41—416no—
1162#41—416no—
1163C2×Q8—24no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—24no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—41no—
1173C2×Q8—41no—
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×Q8—41no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8—416no—
1184C2×Q8—88no—
1185C2×Q8C2×#4114yes—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—28no—
1197C2×D4—28no—
1198C2×D4—28no—
1199C2×D4—28no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—416no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—416no—
1245C2×D4—416no—
1246C2×D4—88no—
1247C2×D4—816no—
1248C2×D4C2×#4114yes—
1249C2×D4C2×#4114yes—
1250C2×D4C2×#4114yes—
1251C22×C4—232no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—42no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—42no—
1300C22×C4—416no—
1301C22×C4—416no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4C2×#4114yes—
1325C22×C4C2×#4114yes—
1326C22×C4C2×#4114yes—
1327C22×C4H(5,𝔽2)14yes—
1328C22×C4H(5,𝔽2)14yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2514yes—
1336C22×C4C2514yes—
1337C22×C4C2514yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2514yes—
1344C22×C4C2512yes—
1345C22×C4C2514yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—28no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—41no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C42—24no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—42no—
1470C42—42no—
1471C42—44no—
1472C42—44no—
1473C42—42no—
1474C42—42no—
1475C42—44no—
1476C42—44no—
1477C42—44no—
1478C42—44no—
1479C23—28no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—24no—
1501C23—21no—
1502C23—21no—
1503C23—24no—
1504C23—24no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—22no—
1511C23—24no—
1512C23—24no—
1513C23—22no—
1514C23—24no—
1515C23—22no—
1516C23—24no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—84no—
1522C23—84no—
1523C23—84no—
1524C23—82no—
1525C23—82no—
1526C23—84no—
1527C23—82no—
1528C23—82no—
1529C23—84no—
1530C23—88no—
1531C23—84no—
1532C23—84no—
1533C23—84no—
1534C23—84no—
1535C23—164no—
1536C23C22×#4112yes—
1537C23C22×#4112yes—
1538C23C22×#4112yes—
1539C23C2×H(5,𝔽2)12yes—
1540C23C2×H(5,𝔽2)12yes—
1541C23C2611yescharacteristic
1542Q8—44no—
1543Q8—44no—
1544Q8—44no—
1545Q8—44no—
1546Q8—48no—
1547Q8—84no—
1548Q8—164no—
1549D4—44no—
1550D4—44no—
1551D4—44no—
1552D4—44no—
1553D4—44no—
1554D4—44no—
1555D4—44no—
1556D4—44no—
1557D4—44no—
1558D4—44no—
1559D4—44no—
1560D4—44no—
1561D4—48no—
1562D4—84no—
1563D4—88no—
1564D4—88no—
1565D4—88no—
1566D4—88no—
1567D4—88no—
1568D4—164no—
1569C2×C4—28no—
1570C2×C4—28no—
1571C2×C4—28no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—28no—
1583C2×C4—28no—
1584C2×C4—28no—
1585C2×C4—28no—
1586C2×C4—28no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—44no—
1643C2×C4—44no—
1644C2×C4—48no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—84no—
1648C2×C4—84no—
1649C2×C4—82no—
1650C2×C4—84no—
1651C2×C4—82no—
1652C2×C4—88no—
1653C2×C4—82no—
1654C2×C4—82no—
1655C2×C4—84no—
1656C2×C4—164no—
1657C2×C4C22×#4112yes—
1658C2×C4C22×#4112yes—
1659C2×C4C22×#4112yes—
1660C2×C4C22×#4112yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—24no—
1671C22—24no—
1672C22—24no—
1673C22—22no—
1674C22—24no—
1675C22—22no—
1676C22—42no—
1677C22—42no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—44no—
1693C22—44no—
1694C22—44no—
1695C22—42no—
1696C22—42no—
1697C22—44no—
1698C22—41no—
1699C22—41no—
1700C22—44no—
1701C22—44no—
1702C22—42no—
1703C22—42no—
1704C22—41no—
1705C22—41no—
1706C22—44no—
1707C22—88no—
1708C22—88no—
1709C22—88no—
1710C22—168no—
1711C22C23×#4111yescharacteristic
1712C22C22×H(5,𝔽2)11yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22H(7,𝔽2)12yes—
1715C222−1+612yes—
1716C4—22no—
1717C4—22no—
1718C4—22no—
1719C4—22no—
1720C4—22no—
1721C4—41no—
1722C4—41no—
1723C4—44no—
1724C4—44no—
1725C4—44no—
1726C4—42no—
1727C4—44no—
1728C4—44no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—44no—
1734C4—42no—
1735C4—44no—
1736C4—42no—
1737C4—42no—
1738C4#349014yes—
1739C2—42no—
1740C2—42no—
1741C2—42no—
1742C2—42no—
1743C2—42no—
1744C2—81no—
1745C2—81no—
1746C2—84no—
1747C2C2×#349011yescharacteristic
1748C2#6285712yes—
1749C2#6287411yescharacteristic
1750C2#6287512yes—
1751C2#6288611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35250C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #50255C2semidirect
2. #50219C2semidirect
3. #49703C2semidirect
4. #49660C2semidirect
5. #48971C2semidirect
6. #48922C2semidirect
7. #48113C2semidirect
8. #48058C2semidirect
9. #47661C2semidirect
10. #47656C2semidirect
11. #47178C2semidirect
12. #47169C2semidirect
13. #37969C2semidirect
14. #37968C2semidirect
15. #37857C2semidirect
16. #37856C2semidirect
17. #37787C2semidirect
18. #37786C2semidirect
19. #37665C2semidirect
20. #37664C2semidirect
21. #37512C2semidirect
22. #37419C2semidirect
23. #37325C2semidirect
24. #37307C2semidirect
25. #35305C2semidirect
26. #35302C2semidirect
27. #35260C2semidirect
29. #34412C2semidirect
30. #34411C2semidirect
31. #34044C2semidirect
35. C2×#536C22semidirect
38. C2×#529C22semidirect
39. C22×C22⋊Q8C22semidirect
41. C22×#117C22semidirect
42. C22×#117C22semidirect
43. #2857C22semidirect
44. #2855C22semidirect
45. #2854C22semidirect
46. #2850C22semidirect
48. #2848C22semidirect
51. #2831C22semidirect
52. #2829C22semidirect
53. #2806C22semidirect
54. #2803C22semidirect
55. #2788C22semidirect
56. #2778C22semidirect
57. #2763C22semidirect
58. #2762C22semidirect
59. #2759C22semidirect
60. #2756C22semidirect
61. #2753C22semidirect
62. #2748C22semidirect
63. #2748C22semidirect
64. #2746C22semidirect
65. #2746C22semidirect
66. #2744C22semidirect
67. #2740C22semidirect
68. #2738C22semidirect
69. #2737C22semidirect
72. #2732C22semidirect
73. #2731C22semidirect
74. #2730C22semidirect
75. #2723C22semidirect
76. #2716C22semidirect
77. #2715C22semidirect
78. #2710C22semidirect
79. #2710C22semidirect
80. #2709C22semidirect
81. #2709C22semidirect
82. #2709C22semidirect
83. #2706C22semidirect
84. #2706C22semidirect
85. #2705C22semidirect
86. #2702C22semidirect
88. #2700C22semidirect
89. #2697C22semidirect
90. #2697C22semidirect
91. #2697C22semidirect
92. #2696C22semidirect
93. #2696C22semidirect
94. #2692C22semidirect
95. #2691C22semidirect
96. #2687C22semidirect
98. #2685C22semidirect
99. #2685C22semidirect
100. #2684C22semidirect
101. #2684C22semidirect
102. #2683C22semidirect
103. #2683C22semidirect
104. #2672C22semidirect
105. #2648C22semidirect
106. #2648C22semidirect
107. #2636C22semidirect
108. #2630C22semidirect
109. #2629C22semidirect
110. #2629C22semidirect
111. #2628C22semidirect
112. #2625C22semidirect
115. #2620C22semidirect
116. #2620C22semidirect
118. #2616C22semidirect
121. #2610C22semidirect
122. #2609C22semidirect
123. #2609C22semidirect
124. #2601C22semidirect
125. #2601C22semidirect
126. #2598C22semidirect
127. #2597C22semidirect
128. #2586C22semidirect
129. #2579C22semidirect
130. #2577C22semidirect
131. #2576C22semidirect
132. #2574C22semidirect
133. #2573C22semidirect
134. #2554C22semidirect
135. #2553C22semidirect
136. #2534C22semidirect
137. #2532C22semidirect
138. #2531C22semidirect
139. #2526C22semidirect
140. #2522C22semidirect
141. #2515C22semidirect
142. #2500C22semidirect
143. #2499C22semidirect
144. #2497C22semidirect
145. #2496C22semidirect
146. #2495C22semidirect
147. #2494C22semidirect
148. #2492C22semidirect
149. #2491C22semidirect
150. #2490C22semidirect
151. #2489C22semidirect
152. #2481C22semidirect
153. #2481C22semidirect
154. #2480C22semidirect
155. #2479C22semidirect
156. #2479C22semidirect
157. #2477C22semidirect
158. #2477C22semidirect
159. #2474C22semidirect
160. #2474C22semidirect
161. #2472C22semidirect
162. #2472C22semidirect
163. #2471C22semidirect
164. #2470C22semidirect
165. #2461C22semidirect
166. #2459C22semidirect
167. #2457C22semidirect
168. #2449C22semidirect
169. #2445C22semidirect
170. #2441C22semidirect
171. #2441C22semidirect
172. #2440C22semidirect
173. #2440C22semidirect
174. #2439C22semidirect
175. #2437C22semidirect
177. #2436C22semidirect
180. #2435C22semidirect
181. #2434C22semidirect
184. #2432C22semidirect
187. #2427C22semidirect
188. #2427C22semidirect
189. #2426C22semidirect
190. #2426C22semidirect
191. #2423C22semidirect
192. #2423C22semidirect
193. #2422C22semidirect
194. #2422C22semidirect
195. #2418C22semidirect
196. #2418C22semidirect
197. #2418C22semidirect
198. #2417C22semidirect
199. #2413C22semidirect
200. #2411C22semidirect
201. #2411C22semidirect
203. #2406C22semidirect
206. #2405C22semidirect
211. #2380C22semidirect
212. #2379C22semidirect
213. #2376C22semidirect
214. #2375C22semidirect
215. #2374C22semidirect
216. #2372C22semidirect
217. #2366C22semidirect
218. #2363C22semidirect
219. #2362C22semidirect
220. #2361C22semidirect
221. #2360C22semidirect
222. #2358C22semidirect
223. #2347C22semidirect
224. #2346C22semidirect
225. Q8×C22⋊C4C22semidirect
226. D4×C22⋊C4C22semidirect
227. #2337C22semidirect
228. #2335C22semidirect
229. #2331C22semidirect
231. #2324C22semidirect
232. #2324C22semidirect
233. #2323C22semidirect
234. #2323C22semidirect
235. #2323C22semidirect
236. #2321C22semidirect
237. #2314C22semidirect
244. #2311C22semidirect
245. #2311C22semidirect
246. #2311C22semidirect
247. #2311C22semidirect
248. #2310C22semidirect
252. #2308C22semidirect
253. #2308C22semidirect
254. C4×C22⋊Q8C22semidirect
255. C4×#121C22semidirect
259. #2297C22semidirect
260. #2297C22semidirect
261. #2297C22semidirect
262. #2285C22semidirect
265. #2280C22semidirect
266. #2280C22semidirect

Maximal subgroups

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

subgroupindex
#502552
#502192
#497032
#496602
#489712
#489222
#481132
#480582
#476612
#476562
#471782
#471692
#379692
#379682
#378572
#378562
#377872
#377862
#376652
#376642
#375122
#374192
#373252
#373072
#353052
#353022
#352602
#352502
#344122
#344112
#340442