Finite Group Databasebeta

← #7654290

Subgroups — #7654290

Order 512.

4320 conjugacy classes of subgroups.

The subgroup lattice has 1575 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42721C212yesmaximal, complemented
2#42543C212yesmaximal
3#41906C214yesmaximal, complemented
4#41904C214yesmaximal, complemented
5#40394C214yesmaximal, complemented
6#40097C212yesmaximal, complemented
7#39490C211yesmaximal, characteristic, complemented
8#39241C212yesmaximal, complemented
9#39082C212yesmaximal, complemented
10#39058C212yesmaximal, complemented
11#38967C211yesmaximal, characteristic, complemented
12#38923C211yesmaximal, characteristic
13#38921C211yesmaximal, characteristic
14#38265C212yesmaximal, complemented
15#37995C214yesmaximal, complemented
16#37939C212yesmaximal, complemented
17#37638C211yesmaximal, characteristic, complemented
18#37526C212yesmaximal, complemented
19#36564C211yesmaximal, characteristic, complemented
20#36556C211yesmaximal, characteristic, complemented
21#36452C212yesmaximal
22#36285C211yesmaximal, characteristic, complemented
23#36177C211yesmaximal, characteristic, complemented
24#36175C212yesmaximal, complemented
25#35972C212yesmaximal, complemented
26#35886C212yesmaximal, complemented
27#35291C211yesmaximal, characteristic, complemented
28#35199C211yesmaximal, characteristic, complemented
29#35159C212yesmaximal, complemented
30#35039C212yesmaximal, complemented
31#34975C211yesmaximal, characteristic, complemented
32#34780C212yesmaximal, complemented
33#34324C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2864C2212yes—
40#2863C2212yes—
41#2863C2212yes—
42#2862C2211yescharacteristic
43#2862C2212yes—
44#2859C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2855C2212yes—
49#2851C2214yes—
50#2851C2214yes—
51#2835C2214yes—
52#2834C2214yes—
53#2833C2214yes—
54#2794C2214yes—
55#2788C2214yes—
56#2787C2214yes—
57#2776C2214yes—
58#2767C2214yes—
59#2766C2214yes—
60#2766C2214yes—
61#2765C2214yes—
62#2762C2214yes—
63#2750C2214yes—
64#2747C2214yes—
65#2747C2214yes—
66#2745C2214yes—
67#2742C2214yes—
68#2739C2214yes—
69#2738C2214yes—
70#2722C2214yes—
71#2698C2214yes—
72#2698C2214yes—
73#2695C2214yes—
74#2689C2214yes—
75#2689C2214yes—
76#2687C2214yes—
77#2680C2214yes—
78#2666C2214yes—
79#2666C2214yes—
80#2666C2214yes—
81#2655C2214yes—
82#2655C2214yes—
83#2652C2214yes—
84#2647C2212yes—
85#2647C2212yes—
86#2646C2214yes—
87#2646C2214yes—
88#2645C2212yes—
89#2645C2212yes—
90#2645C2212yes—
91#2638C2214yes—
92#2634C2214yes—
93#2628C2212yes—
94#2625C2212yes—
95#2625C2212yes—
96#2625C2212yes—
97#2621C2212yes—
98#2612C2214yes—
99#2606C2214yes—
100#2606C2214yes—
101#2590C2214yes—
102#2590C2214yes—
103#2588C2214yes—
104#2588C2214yes—
105#2587C2214yes—
106#2586C2214yes—
107#2582C2211yescharacteristic
108#2582C2211yescharacteristic
109#2578C2214yes—
110#2577C2214yes—
111#2577C2214yes—
112#2573C2214yes—
113#2571C2211yescharacteristic
114#2570C2212yes—
115#2568C2211yescharacteristic
116#2567C2211yescharacteristic
117#2567C2211yescharacteristic
118#2565C2212yes—
119#2563C2212yes—
120#2553C2214yes—
121#2552C2212yes—
122#2551C2211yescharacteristic
123#2550C2212yes—
124#2549C2214yes—
125#2547C2212yes—
126#2546C2211yescharacteristic
127#2533C2214yes—
128#2533C2214yes—
129#2533C2212yes—
130#2530C2214yes—
131#2528C2214yes—
132#2528C2212yes—
133#2527C2214yes—
134#2527C2214yes—
135#2524C2214yes—
136#2523C2214yes—
137#2523C2214yes—
138#2520C2214yes—
139#2520C2214yes—
140#2517C2214yes—
141#2515C2214yes—
142#2514C2212yes—
143#2514C2212yes—
144#2514C2212yes—
145#2514C2212yes—
146#2514C2212yes—
147#2514C2211yescharacteristic
148#2511C2212yes—
149#2511C2214yes—
150#2509C2212yes—
151#2509C2214yes—
152#2509C2212yes—
153#2509C2212yes—
154#2509C2212yes—
155#2508C2212yes—
156#2508C2214yes—
157#2508C2212yes—
158#2508C2212yes—
159#2507C2212yes—
160#2507C2212yes—
161#2507C2214yes—
162#2507C2212yes—
163#2506C2212yes—
164#2506C2212yes—
165#2506C2214yes—
166#2506C2211yescharacteristic
167#2503C2212yes—
168#2503C2212yes—
169#2499C2212yes—
170#2496C2211yescharacteristic
171#2495C2214yes—
172#2495C2212yes—
173#2494C2212yes—
174#2494C2214yes—
175#2493C2214yes—
176#2493C2214yes—
177#2489C2212yes—
178#2489C2212yes—
179#2489C2211yescharacteristic
180#2486C2212yes—
181#2485C2212yes—
182#2478C2212yes—
183#2475C2212yes—
184#2460C2214yes—
185#2454C2212yes—
186#2453C2212yes—
187#2453C2212yes—
188#2453C2212yes—
189#2453C2212yes—
190#2453C2211yescharacteristic
191#2451C2212yes—
192#2451C2212yes—
193#2451C2212yes—
194#2447C2212yes—
195#2447C2212yes—
196#2447C2212yes—
197#2446C2212yes—
198#2446C2212yes—
199#2446C2211yescharacteristic
200#2446C2212yes—
201#2442C2212yes—
202#2440C2212yes—
203#2439C2212yes—
204#2429C2212yes—
205#2429C2211yescharacteristic
206#2427C2212yes—
207#2422C2212yes—
208#2421C2212yes—
209#2421C2211yescharacteristic
210#2419C2214yes—
211#2417C2212yes—
212#2415C2212yes—
213#2402C2212yes—
214#2402C2214yes—
215#2401C2212yes—
216#2401C2214yes—
217#2373C2214yes—
218#2373C2212yes—
219#2373C2212yes—
220#2370C2212yes—
221#2370C2211yescharacteristic
222#2370C2212yes—
223#2370C2211yescharacteristic
224#2369C2212yes—
225#2369C2211yescharacteristic
226#2368C2214yes—
227#2367C2212yes—
228#2367C2211yescharacteristic
229#2367C2211yescharacteristic
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2362C2212yes—
233#2361C2211yescharacteristic
234#2361C2211yescharacteristic
235#2360C2211yescharacteristic
236#2360C2212yes—
237#2360C2211yescharacteristic
238#2360C2212yes—
239#2359C2212yes—
240#2359C2212yes—
241#2356C2212yes—
242#2356C2212yes—
243#2355C2212yes—
244#2355C2211yescharacteristic
245#2355C2212yes—
246#2354C2211yescharacteristic
247Q8×C4⋊C4C2211yescharacteristic
248#2349C2212yes—
249D4×C4⋊C4C2211yescharacteristic
250#2346C2212yes—
251#2345C2212yes—
252#2345C2212yes—
253#2336C2214yes—
254#2334C2214yes—
255#2332C2214yes—
256#2331C2212yes—
257#2326C2212yes—
258#2323C2212yes—
259#2320C2212yes—
260#2320C2212yes—
261#2317C2212yes—
262#2317C2212yes—
263#2316C2212yes—
264#2316C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×#125C2211yescharacteristic
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#126C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2214yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×#123C2214yes—
280#2298C2212yes—
281#2296C2212yes—
282#2296C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2293C2211yescharacteristic
287#2290C2212yes—
288#2283C2212yes—
289#2283C2214yes—
290#2276C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299#556—28no—
300#554—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307#529—28no—
308C2×#126C2314yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×#121C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2314yes—
363C22×C42C2312yes—
364C22×C42C2312yes—
365#401C2314yes—
366#401C2314yes—
367#401C2314yes—
368#401C2314yes—
369#401C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2314yes—
403#400C2312yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2312yes—
448#396C2314yes—
449#396C2312yes—
450#396C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2314yes—
460#393C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2311yescharacteristic
464#391C2311yescharacteristic
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2314yes—
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2312yes—
498#390C2311yescharacteristic
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2314yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2314yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
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#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2312yes—
650#386C2312yes—
651#386C2314yes—
652#386C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2314yes—
681#383C2312yes—
682#383C2314yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#382C2312yes—
689#382C2312yes—
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2314yes—
698#382C2314yes—
699#382C2314yes—
700#382C2314yes—
701#382C2314yes—
702#382C2314yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2314yes—
723#380C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800#376C2311yescharacteristic
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2311yescharacteristic
807C2×#95C2314yes—
808C2×#95C2312yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2414yes—
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2412yes—
831C4⋊Q8—24no—
832C4⋊Q8—24no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—42no—
836C4⋊Q8—44no—
837#126—28no—
838#126—216no—
839#126—44no—
840#125—24no—
841#125—28no—
842#125—24no—
843#125—44no—
844#125—48no—
845#125—44no—
846#124—24no—
847#124—28no—
848#123—28no—
849#123—48no—
850C22⋊Q8—28no—
851C22⋊Q8—28no—
852C22⋊Q8—24no—
853C22⋊Q8—24no—
854C22⋊Q8—216no—
855C22⋊Q8—44no—
856C22⋊Q8—48no—
857C22⋊Q8—42no—
858C22⋊Q8—44no—
859#121—24no—
860C4×Q8—28no—
861C4×Q8—24no—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—42no—
870C4×Q8—44no—
871C4×Q8—42no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—24no—
875C4×D4—42no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4#4118yes—
880#117—28no—
881#117—28no—
882#117—44no—
883#117—42no—
884#117—42no—
885#117—44no—
886C2×C4⋊C4—28no—
887C2×C4⋊C4—28no—
888C2×C4⋊C4—24no—
889C2×C4⋊C4—42no—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C42—24no—
999C2×C42—44no—
1000C2×C42—44no—
1001C2×C42—48no—
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2414yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2414yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139C24C2512yes—
1140C24C2511yescharacteristic
1141C2×Q8—22no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—44no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—42no—
1164C2×D4C2×#4114yes—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—22no—
1168C22×C4—28no—
1169C22×C4—24no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—24no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—28no—
1181C22×C4—42no—
1182C22×C4—41no—
1183C22×C4—42no—
1184C22×C4—44no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—44no—
1194C22×C4C2×#4118yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C4⋊C4—22no—
1229C4⋊C4—28no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4C2×#4114yes—
1307C4⋊C42−1+414yes—
1308C4⋊C42−1+414yes—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—28no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—22no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—41no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4C2×#4118yes—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—24no—
1340C42—28no—
1341C42—24no—
1342C42—24no—
1343C42—22no—
1344C42—22no—
1345C42—24no—
1346C42—22no—
1347C42—24no—
1348C42—28no—
1349C42—24no—
1350C42—22no—
1351C42—22no—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—28no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—24no—
1360C42—22no—
1361C42—42no—
1362C42—42no—
1363C42—42no—
1364C42—44no—
1365C42—44no—
1366C42—42no—
1367C42—41no—
1368C42—44no—
1369C42—41no—
1370C42—41no—
1371C42—42no—
1372C42—42no—
1373C42—44no—
1374C42—42no—
1375C42—44no—
1376C42—42no—
1377C42—42no—
1378C42C2×#4114yes—
1379C23—21no—
1380C23—21no—
1381C23—22no—
1382C23—22no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—21no—
1390C23—22no—
1391C23C22×#4114yes—
1392C23#58512yes—
1393C23C2611yescharacteristic
1394Q8—44no—
1395Q8—48no—
1396Q8—44no—
1397Q8—44no—
1398Q8—84no—
1399Q8—164no—
1400D4—28no—
1401D4—48no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—216no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—24no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—48no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—84no—
1496C2×C4—88no—
1497C2×C4—84no—
1498C2×C4—88no—
1499C2×C4—84no—
1500C2×C4C22×#4114yes—
1501C2×C4C22×#4112yes—
1502C2×C4C22×#4112yes—
1503C2×C4C22×#4112yes—
1504C2×C4C2×2−1+414yes—
1505C2×C4C2×2−1+414yes—
1506C2×C4C2×2−1+412yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4#58512yes—
1509C2×C4#58512yes—
1510C2×C4#58512yes—
1511C22—22no—
1512C22—24no—
1513C22—22no—
1514C22—22no—
1515C22—24no—
1516C22—24no—
1517C22—42no—
1518C22—41no—
1519C22—42no—
1520C22—41no—
1521C22—42no—
1522C22—41no—
1523C22—42no—
1524C22—41no—
1525C22C23×#4111yescharacteristic
1526C22C22×2−1+411yescharacteristic
1527C22C22×2−1+411yescharacteristic
1528C22C2×#58511yescharacteristic
1529C22C2×#58511yescharacteristic
1530C22C2×#58511yescharacteristic
1531C22C2×#58511yescharacteristic
1532C4—22no—
1533C4—24no—
1534C4—24no—
1535C4—24no—
1536C4—22no—
1537C4—41no—
1538C4—42no—
1539C4—42no—
1540C4—41no—
1541C4—41no—
1542C4—44no—
1543C4—41no—
1544C4—41no—
1545C4—42no—
1546C4—42no—
1547C4—44no—
1548C4—42no—
1549C4—41no—
1550C4—42no—
1551C4—42no—
1552C4—41no—
1553C4—41no—
1554C4—42no—
1555C4—42no—
1556C4—41no—
1557C4—42no—
1558C4—44no—
1559C4—42no—
1560C4—41no—
1561C4—42no—
1562C4—44no—
1563C4#346114yes—
1564C4#351514yes—
1565C2—42no—
1566C2—44no—
1567C2C2×#346111yescharacteristic
1568C2C2×#351511yescharacteristic
1569C2#6281011yescharacteristic
1570C2#6302311yescharacteristic
1571C2#6302511yescharacteristic
1572C2#6302911yescharacteristic
1573C2#6303811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42721C2semidirect
3. #41906C2semidirect
4. #41904C2semidirect
5. #40394C2semidirect
6. #40097C2semidirect
7. #39490C2semidirect
8. #39241C2semidirect
9. #39082C2semidirect
10. #39058C2semidirect
11. #38967C2semidirect
14. #38265C2semidirect
15. #37995C2semidirect
16. #37939C2semidirect
17. #37638C2semidirect
18. #37526C2semidirect
19. #36564C2semidirect
20. #36556C2semidirect
22. #36285C2semidirect
23. #36177C2semidirect
24. #36175C2semidirect
25. #35972C2semidirect
26. #35886C2semidirect
27. #35291C2semidirect
28. #35199C2semidirect
29. #35159C2semidirect
30. #35039C2semidirect
31. #34975C2semidirect
32. #34780C2semidirect
33. #34324C2semidirect
34. C4×#554C2semidirect

Maximal subgroups

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

subgroupindex
#427212
#425432
#419062
#419042
#403942
#400972
#394902
#392412
#390822
#390582
#389672
#389232
#389212
#382652
#379952
#379392
#376382
#375262
#365642
#365562
#364522
#362852
#361772
#361752
#359722
#358862
#352912
#351992
#351592
#350392
#349752
#347802
#343242
C4×#5542
#341532