Finite Group Databasebeta

← #7657374

Subgroups — #7657374

Order 512.

4848 conjugacy classes of subgroups.

The subgroup lattice has 1699 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42860C212yesmaximal, complemented
2#42855C212yesmaximal, complemented
3#42579C212yesmaximal, complemented
4#42570C212yesmaximal, complemented
5#42265C214yesmaximal, complemented
6#42102C214yesmaximal, complemented
7#41306C214yesmaximal, complemented
8#41274C214yesmaximal, complemented
9#39818C212yesmaximal, complemented
10#39725C211yesmaximal, characteristic, complemented
11#39692C212yesmaximal, complemented
12#39598C211yesmaximal, characteristic, complemented
13#39183C211yesmaximal, characteristic, complemented
14#39169C211yesmaximal, characteristic, complemented
15#38242C212yesmaximal, complemented
16#38226C212yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37625C212yesmaximal, complemented
19#37625C211yesmaximal, characteristic, complemented
20#37571C212yesmaximal, complemented
21#36596C211yesmaximal, characteristic, complemented
22#36551C211yesmaximal, characteristic, complemented
23#36300C211yesmaximal, characteristic, complemented
24#36270C211yesmaximal, characteristic, complemented
25#35989C212yesmaximal, complemented
26#35802C212yesmaximal, complemented
27#35763C212yesmaximal, complemented
28#35736C212yesmaximal, complemented
29#35295C212yesmaximal, complemented
30#35288C211yesmaximal, characteristic, complemented
31#34621C212yesmaximal, complemented
32#34621C211yesmaximal, characteristic, complemented
33#34317C211yesmaximal, characteristic, complemented
34#34313C211yesmaximal, characteristic, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#553C2212yes—
38C2×#552C2212yes—
39C2×#550C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#520C2212yes—
42#2860C2212yes—
43#2860C2212yes—
44#2859C2211yescharacteristic
45#2858C2211yescharacteristic
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2856C2212yes—
49#2851C2212yes—
50#2836C2214yes—
51#2831C2214yes—
52#2831C2214yes—
53#2829C2214yes—
54#2829C2214yes—
55#2829C2214yes—
56#2803C2214yes—
57#2802C2214yes—
58#2800C2214yes—
59#2791C2214yes—
60#2790C2214yes—
61#2781C2214yes—
62#2780C2214yes—
63#2780C2214yes—
64#2779C2214yes—
65#2768C2214yes—
66#2743C2214yes—
67#2740C2214yes—
68#2727C2214yes—
69#2715C2214yes—
70#2714C2214yes—
71#2711C2214yes—
72#2704C2214yes—
73#2701C2214yes—
74#2688C2214yes—
75#2687C2214yes—
76#2683C2214yes—
77#2676C2214yes—
78#2676C2214yes—
79#2676C2214yes—
80#2664C2214yes—
81#2652C2214yes—
82#2652C2214yes—
83#2651C2212yes—
84#2651C2214yes—
85#2651C2212yes—
86#2651C2214yes—
87#2650C2214yes—
88#2648C2214yes—
89#2648C2212yes—
90#2648C2214yes—
91#2648C2212yes—
92#2647C2212yes—
93#2647C2212yes—
94#2647C2211yescharacteristic
95#2644C2212yes—
96#2644C2211yescharacteristic
97#2644C2211yescharacteristic
98#2644C2212yes—
99#2644C2212yes—
100#2641C2212yes—
101#2641C2211yescharacteristic
102#2641C2212yes—
103#2637C2214yes—
104#2630C2214yes—
105#2630C2214yes—
106#2630C2214yes—
107#2629C2212yes—
108#2629C2211yescharacteristic
109#2629C2212yes—
110#2625C2212yes—
111#2624C2214yes—
112#2624C2211yescharacteristic
113#2624C2212yes—
114#2624C2211yescharacteristic
115#2624C2212yes—
116#2620C2214yes—
117#2620C2212yes—
118#2619C2212yes—
119#2619C2211yescharacteristic
120#2602C2214yes—
121#2601C2214yes—
122#2601C2214yes—
123#2597C2214yes—
124#2597C2214yes—
125#2589C2214yes—
126#2584C2212yes—
127#2580C2212yes—
128#2579C2214yes—
129#2570C2212yes—
130#2567C2211yescharacteristic
131#2566C2212yes—
132#2566C2214yes—
133#2565C2212yes—
134#2563C2211yescharacteristic
135#2562C2212yes—
136#2559C2214yes—
137#2559C2214yes—
138#2559C2214yes—
139#2558C2214yes—
140#2554C2214yes—
141#2553C2214yes—
142#2552C2211yescharacteristic
143#2552C2212yes—
144#2552C2212yes—
145#2552C2211yescharacteristic
146#2548C2212yes—
147#2548C2211yescharacteristic
148#2543C2214yes—
149#2541C2212yes—
150#2541C2211yescharacteristic
151#2540C2212yes—
152#2538C2211yescharacteristic
153#2538C2212yes—
154#2538C2212yes—
155#2538C2211yescharacteristic
156#2536C2212yes—
157#2522C2214yes—
158#2521C2214yes—
159#2521C2214yes—
160#2513C2212yes—
161#2513C2212yes—
162#2512C2212yes—
163#2512C2212yes—
164#2512C2212yes—
165#2509C2212yes—
166#2509C2212yes—
167#2508C2212yes—
168#2506C2212yes—
169#2497C2212yes—
170#2496C2212yes—
171#2491C2212yes—
172#2490C2212yes—
173#2490C2212yes—
174#2489C2212yes—
175#2487C2212yes—
176#2485C2214yes—
177#2481C2214yes—
178#2479C2214yes—
179#2479C2214yes—
180#2478C2214yes—
181#2477C2214yes—
182#2476C2214yes—
183#2476C2214yes—
184#2475C2214yes—
185#2474C2214yes—
186#2473C2214yes—
187#2466C2214yes—
188#2464C2214yes—
189#2456C2214yes—
190#2454C2212yes—
191#2454C2212yes—
192#2454C2212yes—
193#2454C2212yes—
194#2453C2212yes—
195#2450C2214yes—
196#2448C2212yes—
197#2448C2212yes—
198#2447C2212yes—
199#2445C2212yes—
200#2445C2212yes—
201#2445C2212yes—
202#2440C2212yes—
203#2432C2212yes—
204#2429C2212yes—
205#2427C2212yes—
206#2427C2212yes—
207#2427C2214yes—
208#2426C2212yes—
209#2422C2214yes—
210#2422C2212yes—
211#2420C2212yes—
212#2417C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2416C2212yes—
216#2413C2214yes—
217#2407C2212yes—
218#2407C2212yes—
219#2407C2212yes—
220#2395C2214yes—
221#2395C2214yes—
222#2395C2212yes—
223#2395C2212yes—
224#2392C2212yes—
225#2392C2214yes—
226#2392C2212yes—
227#2392C2214yes—
228#2370C2212yes—
229#2370C2212yes—
230#2370C2212yes—
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2369C2211yescharacteristic
234#2368C2212yes—
235#2368C2212yes—
236#2367C2212yes—
237#2366C2212yes—
238#2366C2211yescharacteristic
239#2365C2211yescharacteristic
240#2365C2211yescharacteristic
241#2363C2212yes—
242#2362C2214yes—
243#2362C2212yes—
244#2361C2214yes—
245#2361C2212yes—
246#2360C2211yescharacteristic
247#2360C2211yescharacteristic
248#2360C2211yescharacteristic
249#2360C2211yescharacteristic
250#2357C2212yes—
251#2355C2211yescharacteristic
252#2354C2211yescharacteristic
253#2354C2212yes—
254#2352C2212yes—
255Q8×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2212yes—
257D4×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2212yes—
259#2345C2212yes—
260#2344C2212yes—
261#2341C2212yes—
262#2332C2214yes—
263#2330C2212yes—
264#2328C2212yes—
265#2324C2214yes—
266#2324C2212yes—
267#2324C2212yes—
268#2324C2212yes—
269#2324C2212yes—
270#2323C2212yes—
271#2319C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×#127C2211yescharacteristic
274C4×#127C2212yes—
275C4×#127C2211yescharacteristic
276C4×#125C2212yes—
277C4×#125C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282#2296C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2293C2212yes—
292#2293C2212yes—
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#554—28no—
301#553—48no—
302#552—48no—
303#550—28no—
304#533—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309C2×#127C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352#520—48no—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2314yes—
388C2×#117C2314yes—
389C2×#117C2314yes—
390C2×#117C2314yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2314yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2312yes—
414#399C2314yes—
415#399C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2312yes—
432#398C2312yes—
433#398C2314yes—
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#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#396C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2312yes—
476#395C2314yes—
477#395C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#393C2314yes—
510#393C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2311yescharacteristic
617#389C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2312yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2314yes—
722#384C2312yes—
723#384C2312yes—
724#382C2311yescharacteristic
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2314yes—
729#381C2314yes—
730#381C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2314yes—
746#380C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807#376C2311yescharacteristic
808#376C2312yes—
809#376C2311yescharacteristic
810#376C2312yes—
811C2×#95C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2412yes—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852#127—24no—
853#127—28no—
854#127—44no—
855#127—42no—
856#126—48no—
857#126—48no—
858#126—84no—
859#126—84no—
860#125—28no—
861#125—28no—
862#125—44no—
863#125—42no—
864#125—48no—
865#125—44no—
866#125—44no—
867#124—44no—
868#124—84no—
869#124—82no—
870#124—82no—
871#123—48no—
872#123—48no—
873#123—84no—
874C22⋊Q8—24no—
875C22⋊Q8—28no—
876C22⋊Q8—24no—
877C22⋊Q8—28no—
878C22⋊Q8—216no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—82no—
882C22⋊Q8—84no—
883#121—24no—
884#121—28no—
885#121—24no—
886#121—28no—
887#121—216no—
888#121—48no—
889#121—44no—
890#121—44no—
891#121—44no—
892#121—84no—
893#121—84no—
894#121—82no—
895#121—84no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—28no—
899C4×Q8—24no—
900C4×Q8—42no—
901C4×Q8—42no—
902C4×Q8—44no—
903C4×Q8—82no—
904C4×Q8#4118yes—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4—44no—
918C4×D4—48no—
919C4×D4—44no—
920C4×D4—48no—
921C4×D4—84no—
922C4×D4—84no—
923C4×D4—82no—
924#117—24no—
925#117—28no—
926#117—28no—
927#117—44no—
928#117—42no—
929#117—44no—
930#117—48no—
931#117—48no—
932#117—84no—
933#117—84no—
934C2×C4⋊C4—28no—
935C2×C4⋊C4—28no—
936C2×C4⋊C4—24no—
937C2×C4⋊C4—42no—
938C2×C4⋊C4—48no—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C42—24no—
1072C2×C42—44no—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24C2512yes—
1175C24C2514yes—
1176C24C2512yes—
1177C24C2511yescharacteristic
1178#41—432no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8C2×#4114yes—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—28no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—28no—
1247C22×C4—28no—
1248C22×C4—24no—
1249C22×C4—28no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—41no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C42−1+414yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2514yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—41no—
1334C4⋊C4—41no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4C2×#4114yes—
1371C4⋊C4C2×#4118yes—
1372C4⋊C4H(5,𝔽2)14yes—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—42no—
1387C22⋊C4—41no—
1388C22⋊C4—42no—
1389C22⋊C4—41no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—28no—
1437C42—24no—
1438C42—22no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—22no—
1447C42—22no—
1448C42—24no—
1449C42—22no—
1450C42—22no—
1451C42—42no—
1452C42—42no—
1453C42—44no—
1454C42—42no—
1455C42—42no—
1456C42—44no—
1457C42—44no—
1458C42—42no—
1459C42—41no—
1460C42—42no—
1461C42—42no—
1462C42—41no—
1463C42—44no—
1464C42—41no—
1465C42—41no—
1466C42—42no—
1467C42C2×#4114yes—
1468C42C2×#4118yes—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—22no—
1476C23—22no—
1477C23—24no—
1478C23—22no—
1479C23—24no—
1480C23—22no—
1481C23—22no—
1482C23—24no—
1483C23—22no—
1484C23—22no—
1485C23—24no—
1486C23—22no—
1487C23—22no—
1488C23—24no—
1489C23—22no—
1490C23—22no—
1491C23—24no—
1492C23—22no—
1493C23—24no—
1494C23—22no—
1495C23—22no—
1496C23C2×2−1+412yes—
1497C23C2611yescharacteristic
1498Q8—28no—
1499Q8—44no—
1500Q8—84no—
1501Q8—84no—
1502D4—416no—
1503D4—48no—
1504D4—48no—
1505D4—44no—
1506D4—48no—
1507D4—44no—
1508D4—88no—
1509D4—84no—
1510D4—84no—
1511D4—88no—
1512D4—84no—
1513D4—84no—
1514D4—164no—
1515D4—164no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—28no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—24no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—416no—
1600C2×C4—44no—
1601C2×C4—48no—
1602C2×C4—48no—
1603C2×C4—88no—
1604C2×C4—82no—
1605C2×C4—88no—
1606C2×C4—88no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4—164no—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4114yes—
1612C2×C4C22×#4114yes—
1613C2×C4C22×#4112yes—
1614C2×C4C22×#4112yes—
1615C2×C4C2×H(5,𝔽2)14yes—
1616C2×C4C2×H(5,𝔽2)12yes—
1617C2×C4C2×2−1+412yes—
1618C2×C4C2×2−1+412yes—
1619C2×C4#58512yes—
1620C2×C4#58512yes—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—42no—
1629C22—44no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—44no—
1634C22—42no—
1635C22—44no—
1636C22—42no—
1637C22—42no—
1638C22—44no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—44no—
1643C22—44no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—44no—
1649C22C23×#4111yescharacteristic
1650C22C22×H(5,𝔽2)11yescharacteristic
1651C22C22×2−1+411yescharacteristic
1652C22C2×#58511yescharacteristic
1653C22C2×#58511yescharacteristic
1654C22H(7,𝔽2)11yescharacteristic
1655C22H(7,𝔽2)11yescharacteristic
1656C4—22no—
1657C4—24no—
1658C4—22no—
1659C4—24no—
1660C4—24no—
1661C4—44no—
1662C4—41no—
1663C4—42no—
1664C4—41no—
1665C4—41no—
1666C4—42no—
1667C4—44no—
1668C4—42no—
1669C4—44no—
1670C4—42no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—41no—
1685C4#346014yes—
1686C4#351614yes—
1687C2—42no—
1688C2—82no—
1689C2—84no—
1690C2—82no—
1691C2C2×#346011yescharacteristic
1692C2C2×#351611yescharacteristic
1693C2#6285811yescharacteristic
1694C2#6291711yescharacteristic
1695C2#6292011yescharacteristic
1696C2#6292611yescharacteristic
1697C2#6293711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42860C2semidirect
2. #42855C2semidirect
3. #42579C2semidirect
4. #42570C2semidirect
5. #42265C2semidirect
6. #42102C2semidirect
7. #41306C2semidirect
8. #41274C2semidirect
9. #39818C2semidirect
10. #39725C2semidirect
11. #39692C2semidirect
12. #39598C2semidirect
13. #39183C2semidirect
14. #39169C2semidirect
15. #38242C2semidirect
16. #38226C2semidirect
17. #37637C2semidirect
18. #37625C2semidirect
19. #37625C2semidirect
20. #37571C2semidirect
21. #36596C2semidirect
22. #36551C2semidirect
23. #36300C2semidirect
24. #36270C2semidirect
25. #35989C2semidirect
26. #35802C2semidirect
27. #35763C2semidirect
28. #35736C2semidirect
29. #35295C2semidirect
30. #35288C2semidirect
31. #34621C2semidirect
32. #34621C2semidirect
33. #34317C2semidirect
34. #34313C2semidirect
35. #34145C2semidirect

Maximal subgroups

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

subgroupindex
#428602
#428552
#425792
#425702
#422652
#421022
#413062
#412742
#398182
#397252
#396922
#395982
#391832
#391692
#382422
#382262
#376372
#376252
#375712
#365962
#365512
#363002
#362702
#359892
#358022
#357632
#357362
#352952
#352882
#346212
#343172
#343132
#341452