Finite Group Databasebeta

← #7658088

Subgroups — #7658088

Order 512.

4265 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42922C212yesmaximal, complemented
2#42921C212yesmaximal, complemented
3#42513C212yesmaximal, complemented
4#42511C212yesmaximal, complemented
5#42215C214yesmaximal, complemented
6#42214C214yesmaximal, complemented
7#41727C214yesmaximal, complemented
8#41720C214yesmaximal, complemented
9#39564C212yesmaximal
10#39561C212yesmaximal
11#39480C211yesmaximal, characteristic, complemented
12#39478C211yesmaximal, characteristic, complemented
13#39159C211yesmaximal, characteristic, complemented
14#39157C211yesmaximal, characteristic, complemented
15#38267C212yesmaximal, complemented
16#38263C212yesmaximal, complemented
17#37635C211yesmaximal, characteristic, complemented
18#37623C211yesmaximal, characteristic, complemented
19#37598C212yesmaximal, complemented
20#37592C212yesmaximal, complemented
21#36564C211yesmaximal, characteristic, complemented
22#36552C211yesmaximal, characteristic, complemented
23#36314C211yesmaximal, characteristic, complemented
24#36287C211yesmaximal, characteristic, complemented
25#36006C212yesmaximal, complemented
26#35984C212yesmaximal, complemented
27#35958C212yesmaximal, complemented
28#35855C212yesmaximal, complemented
29#35282C212yesmaximal, complemented
30#35280C211yesmaximal, characteristic
31#34629C212yesmaximal, complemented
32#34627C211yesmaximal, characteristic
33#34231C211yesmaximal, characteristic, complemented
34#34214C211yesmaximal, characteristic, complemented
35#34121C211yesmaximal, characteristic
36C2×#533C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2864C2212yes—
40#2859C2212yes—
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2212yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2851C2212yes—
47#2843C2214yes—
48#2839C2214yes—
49#2839C2214yes—
50#2838C2214yes—
51#2836C2214yes—
52#2817C2214yes—
53#2796C2214yes—
54#2787C2214yes—
55#2786C2214yes—
56#2782C2214yes—
57#2776C2214yes—
58#2774C2214yes—
59#2770C2214yes—
60#2767C2214yes—
61#2766C2214yes—
62#2762C2214yes—
63#2762C2214yes—
64#2758C2214yes—
65#2758C2214yes—
66#2757C2214yes—
67#2755C2214yes—
68#2747C2214yes—
69#2747C2214yes—
70#2745C2214yes—
71#2728C2214yes—
72#2723C2214yes—
73#2719C2214yes—
74#2690C2214yes—
75#2690C2214yes—
76#2689C2214yes—
77#2666C2214yes—
78#2666C2214yes—
79#2660C2212yes—
80#2660C2212yes—
81#2660C2212yes—
82#2655C2214yes—
83#2655C2214yes—
84#2655C2214yes—
85#2654C2214yes—
86#2652C2214yes—
87#2652C2214yes—
88#2650C2214yes—
89#2650C2214yes—
90#2647C2212yes—
91#2647C2212yes—
92#2645C2212yes—
93#2645C2212yes—
94#2642C2212yes—
95#2638C2212yes—
96#2638C2212yes—
97#2637C2214yes—
98#2634C2214yes—
99#2634C2214yes—
100#2634C2212yes—
101#2633C2212yes—
102#2629C2212yes—
103#2629C2212yes—
104#2628C2211yescharacteristic
105#2628C2211yescharacteristic
106#2627C2214yes—
107#2625C2212yes—
108#2625C2212yes—
109#2625C2212yes—
110#2625C2212yes—
111#2625C2211yescharacteristic
112#2625C2211yescharacteristic
113#2621C2211yescharacteristic
114#2621C2211yescharacteristic
115#2616C2211yescharacteristic
116#2616C2211yescharacteristic
117#2612C2214yes—
118#2612C2214yes—
119#2605C2214yes—
120#2597C2214yes—
121#2595C2214yes—
122#2590C2214yes—
123#2586C2214yes—
124#2586C2214yes—
125#2585C2214yes—
126#2585C2214yes—
127#2582C2212yes—
128#2582C2212yes—
129#2581C2212yes—
130#2581C2212yes—
131#2578C2214yes—
132#2578C2214yes—
133#2574C2214yes—
134#2571C2211yescharacteristic
135#2571C2212yes—
136#2570C2212yes—
137#2568C2211yescharacteristic
138#2568C2211yescharacteristic
139#2568C2212yes—
140#2567C2211yescharacteristic
141#2567C2211yescharacteristic
142#2565C2212yes—
143#2560C2214yes—
144#2556C2214yes—
145#2556C2214yes—
146#2552C2211yescharacteristic
147#2552C2211yescharacteristic
148#2551C2211yescharacteristic
149#2549C2214yes—
150#2538C2212yes—
151#2538C2212yes—
152#2533C2214yes—
153#2533C2214yes—
154#2531C2214yes—
155#2530C2214yes—
156#2530C2214yes—
157#2530C2214yes—
158#2528C2214yes—
159#2525C2214yes—
160#2524C2214yes—
161#2522C2214yes—
162#2520C2214yes—
163#2520C2214yes—
164#2520C2214yes—
165#2519C2214yes—
166#2514C2212yes—
167#2514C2212yes—
168#2511C2212yes—
169#2511C2212yes—
170#2511C2212yes—
171#2511C2212yes—
172#2509C2212yes—
173#2508C2212yes—
174#2508C2212yes—
175#2507C2212yes—
176#2507C2212yes—
177#2506C2212yes—
178#2506C2212yes—
179#2506C2212yes—
180#2505C2214yes—
181#2502C2212yes—
182#2499C2212yes—
183#2499C2212yes—
184#2499C2212yes—
185#2497C2212yes—
186#2496C2212yes—
187#2496C2212yes—
188#2495C2212yes—
189#2495C2212yes—
190#2495C2212yes—
191#2494C2212yes—
192#2494C2212yes—
193#2494C2214yes—
194#2492C2212yes—
195#2492C2212yes—
196#2489C2212yes—
197#2489C2214yes—
198#2489C2212yes—
199#2465C2214yes—
200#2462C2214yes—
201#2453C2212yes—
202#2451C2212yes—
203#2442C2212yes—
204#2442C2212yes—
205#2441C2212yes—
206#2440C2212yes—
207#2440C2212yes—
208#2440C2212yes—
209#2423C2212yes—
210#2421C2212yes—
211#2421C2212yes—
212#2421C2212yes—
213#2417C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2417C2212yes—
217#2402C2214yes—
218#2402C2214yes—
219#2401C2214yes—
220#2401C2214yes—
221#2399C2212yes—
222#2398C2212yes—
223#2395C2212yes—
224#2395C2212yes—
225#2370C2212yes—
226#2369C2211yescharacteristic
227#2369C2212yes—
228#2369C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2362C2212yes—
232#2362C2212yes—
233#2362C2212yes—
234#2360C2212yes—
235#2360C2212yes—
236#2360C2212yes—
237#2360C2214yes—
238#2357C2212yes—
239#2356C2212yes—
240#2356C2212yes—
241#2356C2214yes—
242#2355C2212yes—
243#2355C2211yescharacteristic
244#2355C2211yescharacteristic
245#2355C2211yescharacteristic
246#2355C2211yescharacteristic
247#2355C2212yes—
248#2354C2211yescharacteristic
249#2354C2211yescharacteristic
250#2353C2212yes—
251#2353C2212yes—
252#2352C2211yescharacteristic
253#2352C2211yescharacteristic
254#2352C2211yescharacteristic
255#2352C2211yescharacteristic
256Q8×C4⋊C4C2212yes—
257Q8×C4⋊C4C2211yescharacteristic
258Q8×C4⋊C4C2211yescharacteristic
259#2347C2212yes—
260#2346C2212yes—
261#2346C2212yes—
262#2345C2212yes—
263#2332C2214yes—
264#2331C2212yes—
265#2330C2212yes—
266#2330C2214yes—
267#2320C2212yes—
268#2317C2212yes—
269#2316C2212yes—
270#2314C2212yes—
271#2314C2212yes—
272#2311C2212yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×#125C2212yes—
276C4×#125C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283#2298C2212yes—
284#2298C2212yes—
285#2297C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2285C2211yescharacteristic
289C2×#384C2211yescharacteristic
290#2283C2211yescharacteristic
291#2283C2211yescharacteristic
292#2283C2211yescharacteristic
293#2276C2212yes—
294#2274C2212yes—
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#533—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#126C2314yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2314yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C4×#41—28no—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2314yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2311yescharacteristic
352C2×#117C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2312yes—
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2312yes—
367C22×C42C2311yescharacteristic
368#401C2314yes—
369#401C2314yes—
370#401C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
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#400C2312yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#399C2312yes—
408#399C2314yes—
409#399C2312yes—
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#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2312yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2312yes—
477#395C2312yes—
478#395C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#393C2314yes—
486#393C2312yes—
487#393C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2311yescharacteristic
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
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#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#384C2312yes—
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#383C2312yes—
687#383C2312yes—
688#383C2312yes—
689#383C2314yes—
690#382C2311yescharacteristic
691#382C2311yescharacteristic
692#382C2312yes—
693#382C2311yescharacteristic
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2314yes—
701#382C2314yes—
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2314yes—
706#382C2312yes—
707#382C2314yes—
708#381C2312yes—
709#381C2312yes—
710#381C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2312yes—
808#376C2314yes—
809#376C2312yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2312yes—
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—42no—
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844#126—84no—
845#125—28no—
846#125—28no—
847#125—44no—
848#125—44no—
849#125—84no—
850#125—84no—
851C22⋊Q8—24no—
852C22⋊Q8—24no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—24no—
857C22⋊Q8—24no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—42no—
861C22⋊Q8—42no—
862C22⋊Q8—82no—
863C22⋊Q8—84no—
864C22⋊Q8—84no—
865C22⋊Q8—82no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—84no—
878C4×D4—24no—
879C4×D4—24no—
880C4×D4—24no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—24no—
884#117—24no—
885#117—28no—
886#117—28no—
887#117—28no—
888#117—24no—
889#117—24no—
890#117—24no—
891#117—24no—
892#117—42no—
893#117—42no—
894C2×C4⋊C4—24no—
895C2×C4⋊C4—42no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4—82no—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C42—24no—
1014C2×C42—24no—
1015C2×C42—44no—
1016C2×C42#4118yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2414yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144C24C2511yescharacteristic
1145C24C2511yescharacteristic
1146C24C2511yescharacteristic
1147#41—416no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—41no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4C2×#4114yes—
1211C22×C4C2×#4114yes—
1212C22×C4C2×#4114yes—
1213C22×C42−1+414yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2514yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2514yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—28no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C42−1+414yes—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—28no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—28no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—42no—
1379C42—42no—
1380C42—42no—
1381C42—44no—
1382C42—42no—
1383C42—44no—
1384C42—42no—
1385C42—42no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—42no—
1390C42—44no—
1391C42—44no—
1392C42—42no—
1393C42C2×#4114yes—
1394C42C2×#4114yes—
1395C42C2×#4114yes—
1396C42C2×#4114yes—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23C22×#4112yes—
1417C23C2×2−1+412yes—
1418C23C2611yescharacteristic
1419Q8—44no—
1420Q8—48no—
1421Q8—48no—
1422Q8—44no—
1423Q8—44no—
1424Q8—84no—
1425Q8—164no—
1426D4—44no—
1427D4—44no—
1428D4—44no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—28no—
1442C2×C4—28no—
1443C2×C4—28no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—84no—
1523C2×C4—84no—
1524C2×C4—164no—
1525C2×C4C22×#4112yes—
1526C2×C4C22×#4112yes—
1527C2×C4C22×#4112yes—
1528C2×C4C22×#4112yes—
1529C2×C4C22×#4112yes—
1530C2×C4C22×#4112yes—
1531C2×C4C2×2−1+414yes—
1532C2×C4C2×2−1+412yes—
1533C2×C4C2×2−1+412yes—
1534C2×C4C2×2−1+412yes—
1535C2×C4#58512yes—
1536C2×C4#58512yes—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22C23×#4111yescharacteristic
1559C22C22×2−1+411yescharacteristic
1560C22C22×2−1+411yescharacteristic
1561C22C2×#58511yescharacteristic
1562C22C2×#58511yescharacteristic
1563C22H(7,𝔽2)11yescharacteristic
1564C222−1+611yescharacteristic
1565C4—22no—
1566C4—22no—
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—24no—
1571C4—41no—
1572C4—42no—
1573C4—42no—
1574C4—41no—
1575C4—41no—
1576C4—42no—
1577C4—42no—
1578C4—44no—
1579C4—41no—
1580C4—41no—
1581C4—44no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—44no—
1593C4—44no—
1594C4—42no—
1595C4#346114yes—
1596C4#349514yes—
1597C2—42no—
1598C2—42no—
1599C2—81no—
1600C2C2×#346111yescharacteristic
1601C2C2×#349511yescharacteristic
1602C2#6285611yescharacteristic
1603C2#6294311yescharacteristic
1604C2#6295011yescharacteristic
1605C2#6295611yescharacteristic
1606C2#6296611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42922C2semidirect
2. #42921C2semidirect
3. #42513C2semidirect
4. #42511C2semidirect
5. #42215C2semidirect
6. #42214C2semidirect
7. #41727C2semidirect
8. #41720C2semidirect
11. #39480C2semidirect
12. #39478C2semidirect
13. #39159C2semidirect
14. #39157C2semidirect
15. #38267C2semidirect
16. #38263C2semidirect
17. #37635C2semidirect
18. #37623C2semidirect
19. #37598C2semidirect
20. #37592C2semidirect
21. #36564C2semidirect
22. #36552C2semidirect
23. #36314C2semidirect
24. #36287C2semidirect
25. #36006C2semidirect
26. #35984C2semidirect
27. #35958C2semidirect
28. #35855C2semidirect
29. #35282C2semidirect
31. #34629C2semidirect
33. #34231C2semidirect
34. #34214C2semidirect

Maximal subgroups

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

subgroupindex
#429222
#429212
#425132
#425112
#422152
#422142
#417272
#417202
#395642
#395612
#394802
#394782
#391592
#391572
#382672
#382632
#376352
#376232
#375982
#375922
#365642
#365522
#363142
#362872
#360062
#359842
#359582
#358552
#352822
#352802
#346292
#346272
#342312
#342142
#341212