Finite Group Databasebeta

← #7657623

Subgroups — #7657623

Order 512.

4923 conjugacy classes of subgroups.

The subgroup lattice has 1735 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42907C212yesmaximal, complemented
2#42906C212yesmaximal, complemented
3#42584C212yesmaximal, complemented
4#42564C212yesmaximal, complemented
5#42270C214yesmaximal, complemented
6#42094C214yesmaximal, complemented
7#41301C214yesmaximal, complemented
8#41278C214yesmaximal, complemented
9#39275C212yesmaximal, complemented
10#39256C212yesmaximal, complemented
11#39182C211yesmaximal, characteristic, complemented
12#39169C211yesmaximal, characteristic, complemented
13#39138C211yesmaximal, characteristic, complemented
14#39126C211yesmaximal, characteristic, complemented
15#38286C212yesmaximal, complemented
16#38278C212yesmaximal, complemented
17#37636C211yesmaximal, characteristic, complemented
18#37626C212yesmaximal, complemented
19#37626C211yesmaximal, characteristic, complemented
20#37573C212yesmaximal, complemented
21#36468C211yesmaximal, characteristic, complemented
22#36463C211yesmaximal, characteristic, complemented
23#36301C211yesmaximal, characteristic, complemented
24#36273C211yesmaximal, characteristic, complemented
25#36011C212yesmaximal, complemented
26#35978C212yesmaximal, complemented
27#35830C212yesmaximal, complemented
28#35793C212yesmaximal, complemented
29#35296C212yesmaximal, complemented
30#35288C211yesmaximal, characteristic, complemented
31#34621C212yesmaximal, complemented
32#34621C211yesmaximal, characteristic, complemented
33#34317C211yesmaximal, characteristic, complemented
34#34313C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#554C2211yescharacteristic
38C2×#553C2212yes—
39C2×#550C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#520C2212yes—
42#2864C2212yes—
43#2859C2211yescharacteristic
44#2858C2211yescharacteristic
45#2858C2212yes—
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2854C2212yes—
49#2854C2212yes—
50#2838C2214yes—
51#2832C2214yes—
52#2829C2214yes—
53#2828C2214yes—
54#2828C2214yes—
55#2828C2214yes—
56#2805C2214yes—
57#2803C2214yes—
58#2803C2214yes—
59#2779C2214yes—
60#2778C2214yes—
61#2770C2214yes—
62#2761C2214yes—
63#2756C2214yes—
64#2755C2214yes—
65#2751C2214yes—
66#2746C2214yes—
67#2739C2214yes—
68#2733C2214yes—
69#2714C2214yes—
70#2710C2214yes—
71#2709C2214yes—
72#2702C2214yes—
73#2699C2214yes—
74#2688C2214yes—
75#2686C2214yes—
76#2681C2214yes—
77#2676C2214yes—
78#2676C2214yes—
79#2673C2214yes—
80#2662C2214yes—
81#2654C2214yes—
82#2653C2214yes—
83#2651C2212yes—
84#2651C2212yes—
85#2651C2214yes—
86#2651C2214yes—
87#2649C2214yes—
88#2648C2214yes—
89#2648C2212yes—
90#2648C2214yes—
91#2648C2212yes—
92#2647C2212yes—
93#2647C2211yescharacteristic
94#2644C2211yescharacteristic
95#2644C2212yes—
96#2644C2211yescharacteristic
97#2641C2212yes—
98#2641C2211yescharacteristic
99#2635C2214yes—
100#2635C2214yes—
101#2635C2214yes—
102#2632C2214yes—
103#2629C2212yes—
104#2629C2211yescharacteristic
105#2628C2212yes—
106#2628C2212yes—
107#2624C2212yes—
108#2624C2212yes—
109#2624C2214yes—
110#2624C2211yescharacteristic
111#2624C2211yescharacteristic
112#2624C2212yes—
113#2624C2212yes—
114#2624C2212yes—
115#2619C2212yes—
116#2619C2211yescharacteristic
117#2619C2214yes—
118#2619C2212yes—
119#2619C2212yes—
120#2610C2214yes—
121#2602C2214yes—
122#2601C2214yes—
123#2600C2214yes—
124#2595C2214yes—
125#2595C2214yes—
126#2591C2214yes—
127#2578C2214yes—
128#2571C2212yes—
129#2571C2211yescharacteristic
130#2568C2212yes—
131#2566C2212yes—
132#2563C2211yescharacteristic
133#2563C2211yescharacteristic
134#2562C2212yes—
135#2562C2212yes—
136#2559C2214yes—
137#2557C2214yes—
138#2557C2214yes—
139#2557C2214yes—
140#2555C2214yes—
141#2555C2214yes—
142#2551C2211yescharacteristic
143#2550C2212yes—
144#2550C2212yes—
145#2544C2214yes—
146#2541C2212yes—
147#2541C2211yescharacteristic
148#2541C2212yes—
149#2541C2212yes—
150#2541C2211yescharacteristic
151#2537C2211yescharacteristic
152#2537C2212yes—
153#2537C2211yescharacteristic
154#2536C2212yes—
155#2535C2212yes—
156#2535C2212yes—
157#2527C2214yes—
158#2516C2214yes—
159#2515C2214yes—
160#2513C2212yes—
161#2513C2212yes—
162#2508C2212yes—
163#2496C2212yes—
164#2495C2212yes—
165#2495C2212yes—
166#2494C2212yes—
167#2494C2212yes—
168#2491C2212yes—
169#2491C2212yes—
170#2491C2212yes—
171#2491C2212yes—
172#2490C2212yes—
173#2490C2212yes—
174#2490C2212yes—
175#2485C2212yes—
176#2484C2214yes—
177#2481C2214yes—
178#2479C2214yes—
179#2477C2214yes—
180#2476C2214yes—
181#2474C2214yes—
182#2474C2214yes—
183#2474C2214yes—
184#2471C2214yes—
185#2471C2214yes—
186#2464C2214yes—
187#2459C2214yes—
188#2459C2214yes—
189#2459C2214yes—
190#2454C2212yes—
191#2453C2212yes—
192#2448C2212yes—
193#2447C2212yes—
194#2445C2212yes—
195#2443C2214yes—
196#2442C2212yes—
197#2431C2212yes—
198#2428C2214yes—
199#2428C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2427C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2420C2214yes—
207#2420C2212yes—
208#2420C2212yes—
209#2420C2212yes—
210#2420C2212yes—
211#2420C2212yes—
212#2416C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2414C2214yes—
216#2414C2212yes—
217#2407C2212yes—
218#2407C2212yes—
219#2407C2212yes—
220#2395C2214yes—
221#2395C2212yes—
222#2395C2214yes—
223#2395C2212yes—
224#2392C2214yes—
225#2392C2212yes—
226#2392C2214yes—
227#2392C2212yes—
228#2374C2212yes—
229#2374C2212yes—
230#2373C2212yes—
231#2373C2212yes—
232#2370C2212yes—
233#2370C2211yescharacteristic
234#2370C2211yescharacteristic
235#2369C2211yescharacteristic
236#2367C2211yescharacteristic
237#2367C2211yescharacteristic
238#2366C2212yes—
239#2366C2211yescharacteristic
240#2366C2212yes—
241#2363C2211yescharacteristic
242#2363C2211yescharacteristic
243#2363C2212yes—
244#2362C2214yes—
245#2362C2212yes—
246#2362C2211yescharacteristic
247#2362C2211yescharacteristic
248#2361C2214yes—
249#2361C2212yes—
250#2357C2212yes—
251#2357C2212yes—
252#2355C2211yescharacteristic
253#2354C2211yescharacteristic
254#2352C2212yes—
255#2352C2212yes—
256Q8×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2212yes—
258D4×C4⋊C4C2211yescharacteristic
259#2344C2212yes—
260#2344C2212yes—
261#2341C2212yes—
262#2332C2214yes—
263#2331C2212yes—
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×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282#2298C2212yes—
283#2295C2211yescharacteristic
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2293C2212yes—
290#2293C2212yes—
291#2293C2212yes—
292#2290C2212yes—
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300#555—48no—
301#554—28no—
302#553—48no—
303#550—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2312yes—
312C2×#127C2314yes—
313#529—28no—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356#520—48no—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2314yes—
393C2×#117C2311yescharacteristic
394C2×#117C2312yes—
395C2×#117C2311yescharacteristic
396C2×#117C2314yes—
397C2×#117C2314yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2314yes—
401C22×C42C2311yescharacteristic
402C22×C42C2312yes—
403#401C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2312yes—
420#399C2312yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2314yes—
451#397C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2312yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2312yes—
494#394C2312yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2312yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#392C2312yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2312yes—
521#392C2314yes—
522#392C2314yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2311yescharacteristic
564#390C2312yes—
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2314yes—
572#390C2314yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
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#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2311yescharacteristic
717#383C2314yes—
718#382C2311yescharacteristic
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811#376C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2412yes—
855C4⋊Q8—24no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858#127—24no—
859#127—28no—
860#127—44no—
861#127—42no—
862#127—44no—
863#127—84no—
864#126—28no—
865#126—48no—
866#125—24no—
867#125—28no—
868#125—42no—
869#125—44no—
870#124—24no—
871#124—48no—
872#124—48no—
873#124—84no—
874#124—84no—
875#124—82no—
876#124—82no—
877#123—28no—
878#123—48no—
879#123—84no—
880C22⋊Q8—24no—
881C22⋊Q8—28no—
882C22⋊Q8—216no—
883C22⋊Q8—82no—
884#121—24no—
885#121—28no—
886#121—216no—
887#121—48no—
888#121—48no—
889#121—44no—
890#121—44no—
891#121—42no—
892#121—44no—
893#121—42no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—44no—
900#121—44no—
901#121—84no—
902#121—84no—
903#121—84no—
904#121—82no—
905#121—84no—
906C4×Q8—24no—
907C4×Q8—42no—
908C4×Q8—44no—
909C4×Q8—82no—
910C4×Q8#4118yes—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—24no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—28no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—42no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—48no—
927C4×D4—48no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—84no—
932C4×D4—84no—
933C4×D4—82no—
934#117—28no—
935#117—24no—
936#117—28no—
937#117—42no—
938#117—42no—
939#117—44no—
940#117—44no—
941#117—44no—
942#117—48no—
943#117—48no—
944#117—42no—
945#117—84no—
946#117—84no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4—28no—
949C2×C4⋊C4—48no—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C42—24no—
1080C2×C42—44no—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24C2512yes—
1180C24C2512yes—
1181C24C2511yescharacteristic
1182C24C2514yes—
1183C24C2512yes—
1184#41—432no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8C2×#4114yes—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—28no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—28no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—28no—
1272C22×C4—28no—
1273C22×C4—28no—
1274C22×C4—24no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—41no—
1287C22×C4—44no—
1288C22×C4—41no—
1289C22×C4—42no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—28no—
1333C4⋊C4—28no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—42no—
1353C4⋊C4—41no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4C2×#4114yes—
1380C4⋊C4C2×#4118yes—
1381C4⋊C4H(5,𝔽2)14yes—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—42no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—24no—
1456C42—28no—
1457C42—24no—
1458C42—22no—
1459C42—24no—
1460C42—22no—
1461C42—22no—
1462C42—24no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—24no—
1467C42—22no—
1468C42—24no—
1469C42—22no—
1470C42—42no—
1471C42—42no—
1472C42—42no—
1473C42—44no—
1474C42—42no—
1475C42—42no—
1476C42—44no—
1477C42—44no—
1478C42—42no—
1479C42—41no—
1480C42—42no—
1481C42—41no—
1482C42—44no—
1483C42—41no—
1484C42—41no—
1485C42—42no—
1486C42C2×#4114yes—
1487C42C2×#4118yes—
1488C23—22no—
1489C23—22no—
1490C23—21no—
1491C23—22no—
1492C23—24no—
1493C23—21no—
1494C23—22no—
1495C23—22no—
1496C23—24no—
1497C23—22no—
1498C23—21no—
1499C23—22no—
1500C23—22no—
1501C23—24no—
1502C23—22no—
1503C23—21no—
1504C23—22no—
1505C23—21no—
1506C23—22no—
1507C23—22no—
1508C23—24no—
1509C23—24no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—21no—
1516C23—24no—
1517C23—24no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—21no—
1523C23C2611yescharacteristic
1524Q8—28no—
1525Q8—84no—
1526Q8—164no—
1527D4—416no—
1528D4—44no—
1529D4—48no—
1530D4—44no—
1531D4—44no—
1532D4—48no—
1533D4—84no—
1534D4—88no—
1535D4—84no—
1536D4—84no—
1537D4—84no—
1538D4—88no—
1539D4—84no—
1540D4—88no—
1541D4—84no—
1542D4—164no—
1543D4—164no—
1544D4—164no—
1545D4—164no—
1546D4—164no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—416no—
1628C2×C4—44no—
1629C2×C4—48no—
1630C2×C4—48no—
1631C2×C4—44no—
1632C2×C4—48no—
1633C2×C4—88no—
1634C2×C4—82no—
1635C2×C4—84no—
1636C2×C4—88no—
1637C2×C4—88no—
1638C2×C4—84no—
1639C2×C4—164no—
1640C2×C4C22×#4112yes—
1641C2×C4C22×#4114yes—
1642C2×C4C22×#4114yes—
1643C2×C4C22×#4112yes—
1644C2×C4C22×#4112yes—
1645C2×C4C2×H(5,𝔽2)14yes—
1646C2×C4C2×H(5,𝔽2)12yes—
1647C2×C4#58512yes—
1648C2×C4#58512yes—
1649C2×C4#58512yes—
1650C22—42no—
1651C22—41no—
1652C22—42no—
1653C22—42no—
1654C22—44no—
1655C22—42no—
1656C22—41no—
1657C22—42no—
1658C22—44no—
1659C22—42no—
1660C22—42no—
1661C22—44no—
1662C22—42no—
1663C22—41no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—41no—
1669C22—44no—
1670C22—44no—
1671C22—42no—
1672C22—42no—
1673C22—41no—
1674C22—42no—
1675C22—42no—
1676C22—41no—
1677C22—42no—
1678C22—44no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—44no—
1683C22—42no—
1684C22—41no—
1685C22C23×#4111yescharacteristic
1686C22C22×H(5,𝔽2)11yescharacteristic
1687C22C2×#58511yescharacteristic
1688C22C2×#58511yescharacteristic
1689C22C2×#58511yescharacteristic
1690C22H(7,𝔽2)11yescharacteristic
1691C22H(7,𝔽2)11yescharacteristic
1692C4—24no—
1693C4—22no—
1694C4—24no—
1695C4—24no—
1696C4—41no—
1697C4—42no—
1698C4—41no—
1699C4—44no—
1700C4—41no—
1701C4—42no—
1702C4—44no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—44no—
1707C4—42no—
1708C4—42no—
1709C4—41no—
1710C4—42no—
1711C4—42no—
1712C4—41no—
1713C4—42no—
1714C4—41no—
1715C4—42no—
1716C4—41no—
1717C4—42no—
1718C4—41no—
1719C4—42no—
1720C4#346014yes—
1721C4#352414yes—
1722C2—81no—
1723C2—82no—
1724C2—82no—
1725C2—82no—
1726C2—84no—
1727C2C2×#346011yescharacteristic
1728C2C2×#352411yescharacteristic
1729C2#6285811yescharacteristic
1730C2#6292011yescharacteristic
1731C2#6292311yescharacteristic
1732C2#6293711yescharacteristic
1733C2#6293811yescharacteristic
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. #42907C2semidirect
2. #42906C2semidirect
3. #42584C2semidirect
4. #42564C2semidirect
5. #42270C2semidirect
6. #42094C2semidirect
7. #41301C2semidirect
8. #41278C2semidirect
9. #39275C2semidirect
10. #39256C2semidirect
11. #39182C2semidirect
12. #39169C2semidirect
13. #39138C2semidirect
14. #39126C2semidirect
15. #38286C2semidirect
16. #38278C2semidirect
17. #37636C2semidirect
18. #37626C2semidirect
19. #37626C2semidirect
20. #37573C2semidirect
21. #36468C2semidirect
22. #36463C2semidirect
23. #36301C2semidirect
24. #36273C2semidirect
25. #36011C2semidirect
26. #35978C2semidirect
27. #35830C2semidirect
28. #35793C2semidirect
29. #35296C2semidirect
30. #35288C2semidirect
31. #34621C2semidirect
32. #34621C2semidirect
33. #34317C2semidirect
34. #34313C2semidirect
35. #34151C2semidirect

Maximal subgroups

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

subgroupindex
#429072
#429062
#425842
#425642
#422702
#420942
#413012
#412782
#392752
#392562
#391822
#391692
#391382
#391262
#382862
#382782
#376362
#376262
#375732
#364682
#364632
#363012
#362732
#360112
#359782
#358302
#357932
#352962
#352882
#346212
#343172
#343132
#341512