Finite Group Databasebeta

← #9515704

Subgroups — #9515704

Order 512.

4153 conjugacy classes of subgroups.

The subgroup lattice has 2058 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58644C212yesmaximal, complemented
2#57720C212yesmaximal, complemented
3#57535C212yesmaximal, complemented
4#57256C212yesmaximal, complemented
5#56416C212yesmaximal, complemented
6#56071C212yesmaximal, complemented
7#55810C212yesmaximal, complemented
8#55746C212yesmaximal, complemented
9#55488C212yesmaximal, complemented
10#54229C212yesmaximal, complemented
11#54058C212yesmaximal, complemented
12#53890C212yesmaximal, complemented
13#53219C211yesmaximal, characteristic, complemented
14#52680C212yesmaximal, complemented
15#51661C212yesmaximal, complemented
16#51489C212yesmaximal, complemented
17#49586C212yesmaximal, complemented
18#49025C212yesmaximal, complemented
19#48941C212yesmaximal, complemented
20#46839C212yesmaximal, complemented
21#46825C212yesmaximal
22#46132C211yesmaximal, characteristic, complemented
23#45288C212yesmaximal, complemented
24#44843C212yesmaximal, complemented
25#43517C212yesmaximal, complemented
26#42159C212yesmaximal, complemented
27#42008C212yesmaximal, complemented
28#41436C212yesmaximal, complemented
29#40763C212yesmaximal, complemented
30#40620C212yesmaximal, complemented
31#39543C211yesmaximal, characteristic, complemented
32#38923C211yesmaximal, characteristic, complemented
33#37762C211yesmaximal, characteristic
34#37212C211yesmaximal, characteristic, complemented
35#36750C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic, complemented
37C2×#556C2211yescharacteristic, complemented
38C2×#542C2212yes—
39C2×#538C2211yescharacteristic
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2855C2211yescharacteristic
43#2851C2211yescharacteristic
44#2851C2211yescharacteristic
45#2843C2212yescomplemented
46#2843C2212yescomplemented
47#2843C2212yescomplemented
48#2841C2212yes—
49#2841C2212yes—
50#2839C2212yescomplemented
51#2839C2212yescomplemented
52#2839C2212yescomplemented
53#2839C2212yescomplemented
54#2838C2212yes—
55#2838C2212yes—
56#2838C2212yes—
57#2836C2212yes—
58#2836C2212yes—
59#2836C2212yes—
60#2835C2212yescomplemented
61#2831C2212yes—
62#2822C2211yescharacteristic, complemented
63#2822C2211yescharacteristic, complemented
64#2814C2212yes—
65#2810C2211yescharacteristic, complemented
66#2810C2211yescharacteristic, complemented
67#2809C2211yescharacteristic, complemented
68#2807C2212yes—
69#2806C2212yescomplemented
70#2806C2212yescomplemented
71#2806C2211yescharacteristic, complemented
72#2805C2212yescomplemented
73#2805C2212yescomplemented
74#2805C2211yescharacteristic, complemented
75#2802C2212yescomplemented
76#2799C2212yescomplemented
77#2798C2212yes—
78#2798C2212yes—
79#2794C2212yescomplemented
80#2793C2212yes—
81#2791C2212yescomplemented
82#2790C2212yes—
83#2790C2212yes—
84#2789C2212yescomplemented
85#2788C2212yes—
86#2788C2212yes—
87#2788C2212yes—
88#2787C2212yes—
89#2787C2212yes—
90#2787C2212yescomplemented
91#2782C2212yes—
92#2782C2212yes—
93#2777C2212yes—
94#2777C2212yes—
95#2776C2212yescomplemented
96#2776C2212yescomplemented
97#2776C2212yescomplemented
98#2776C2212yescomplemented
99#2775C2212yes—
100#2773C2212yes—
101#2772C2212yes—
102#2771C2212yes—
103#2771C2212yes—
104#2770C2212yes—
105#2770C2212yescomplemented
106#2768C2212yes—
107#2768C2212yes—
108#2768C2212yes—
109#2767C2212yescomplemented
110#2763C2212yes—
111#2762C2212yescomplemented
112#2758C2212yescomplemented
113#2755C2212yescomplemented
114#2755C2212yescomplemented
115#2755C2212yescomplemented
116#2755C2212yescomplemented
117#2754C2212yes—
118#2750C2212yes—
119#2747C2212yes—
120#2747C2212yes—
121#2747C2212yescomplemented
122#2747C2212yescomplemented
123#2745C2212yes—
124#2745C2212yes—
125#2745C2212yes—
126#2745C2212yescomplemented
127#2744C2212yes—
128#2744C2212yes—
129#2742C2212yes—
130#2739C2212yes—
131#2738C2212yes—
132#2738C2212yes—
133#2738C2212yescomplemented
134#2738C2212yescomplemented
135#2735C2212yes—
136#2735C2212yes—
137#2734C2211yescharacteristic, complemented
138#2734C2212yescomplemented
139#2734C2212yescomplemented
140#2734C2211yescharacteristic, complemented
141#2729C2212yes—
142#2729C2212yes—
143#2729C2212yes—
144#2729C2212yes—
145#2728C2212yes—
146#2726C2211yescharacteristic, complemented
147#2725C2212yes—
148#2722C2212yes—
149#2722C2212yescomplemented
150#2722C2212yescomplemented
151#2722C2212yescomplemented
152#2722C2212yescomplemented
153#2721C2212yes—
154#2720C2212yes—
155#2718C2212yes—
156#2717C2212yes—
157#2717C2212yes—
158#2717C2212yescomplemented
159#2716C2212yes—
160#2716C2212yes—
161#2716C2212yes—
162#2715C2212yes—
163#2715C2212yes—
164#2715C2212yes—
165#2713C2212yescomplemented
166#2713C2212yescomplemented
167#2713C2212yescomplemented
168#2713C2212yescomplemented
169#2713C2212yescomplemented
170#2708C2212yes—
171#2704C2212yes—
172#2704C2212yes—
173#2704C2212yes—
174#2704C2212yes—
175#2702C2212yes—
176#2698C2212yes—
177#2698C2212yescomplemented
178#2698C2212yescomplemented
179#2695C2212yes—
180#2695C2212yes—
181#2695C2212yes—
182#2695C2212yes—
183#2690C2212yes—
184#2690C2212yescomplemented
185#2689C2212yes—
186#2689C2212yescomplemented
187#2689C2212yescomplemented
188#2687C2212yes—
189#2687C2212yes—
190#2687C2212yes—
191#2686C2212yes—
192#2686C2212yes—
193#2684C2212yes—
194#2684C2212yes—
195#2680C2212yes—
196#2677C2212yes—
197#2677C2212yes—
198#2674C2212yes—
199#2674C2212yes—
200#2674C2212yes—
201#2667C2212yes—
202#2666C2212yescomplemented
203#2666C2212yescomplemented
204#2666C2212yescomplemented
205#2666C2212yescomplemented
206#2665C2212yes—
207#2664C2212yes—
208#2659C2211yescharacteristic
209#2659C2211yescharacteristic
210#2659C2212yescomplemented
211#2655C2212yescomplemented
212#2655C2212yescomplemented
213#2655C2212yescomplemented
214#2654C2212yes—
215#2654C2212yes—
216#2654C2212yes—
217#2653C2212yes—
218#2652C2212yes—
219#2649C2212yes—
220#2649C2212yes—
221#2647C2212yescomplemented
222#2646C2211yescharacteristic
223#2646C2212yescomplemented
224#2627C2211yescharacteristic
225#2626C2211yescharacteristic
226#2626C2211yescharacteristic
227#2625C2212yescomplemented
228#2623C2212yes—
229#2621C2212yescomplemented
230#2612C2212yescomplemented
231#2611C2212yescomplemented
232#2605C2212yescomplemented
233#2605C2212yescomplemented
234#2604C2212yes—
235#2604C2212yes—
236#2596C2212yes—
237#2590C2212yescomplemented
238#2590C2212yescomplemented
239#2590C2212yescomplemented
240#2586C2212yescomplemented
241#2585C2212yescomplemented
242#2582C2211yescharacteristic, complemented
243#2578C2212yes—
244#2578C2212yes—
245#2577C2212yes—
246#2574C2212yes—
247#2573C2212yes—
248#2570C2212yescomplemented
249#2569C2212yescomplemented
250#2569C2212yescomplemented
251#2564C2212yes—
252#2564C2212yes—
253#2564C2212yescomplemented
254#2561C2212yes—
255#2553C2212yes—
256#2551C2212yescomplemented
257#2550C2212yescomplemented
258#2549C2212yes—
259#2549C2212yescomplemented
260#2549C2212yescomplemented
261#2547C2212yes—
262#2547C2212yescomplemented
263#2546C2211yescharacteristic, complemented
264#2534C2212yes—
265#2534C2212yes—
266#2533C2212yescomplemented
267#2532C2212yes—
268#2532C2212yes—
269#2530C2212yes—
270#2529C2212yes—
271#2528C2212yescomplemented
272#2527C2212yes—
273#2525C2212yes—
274#2525C2212yes—
275#2523C2212yescomplemented
276#2522C2212yes—
277#2521C2212yes—
278#2521C2212yes—
279#2521C2212yes—
280#2521C2212yes—
281#2520C2212yescomplemented
282#2519C2212yes—
283#2510C2212yes—
284#2510C2212yes—
285#2507C2212yescomplemented
286#2507C2212yescomplemented
287#2505C2212yes—
288#2505C2212yescomplemented
289#2505C2212yescomplemented
290#2498C2212yes—
291#2498C2212yes—
292#2496C2212yescomplemented
293#2496C2212yescomplemented
294#2495C2212yescomplemented
295#2494C2212yescomplemented
296#2493C2212yescomplemented
297#2492C2212yes—
298#2492C2212yes—
299#2489C2212yescomplemented
300#2485C2212yes—
301#2485C2212yes—
302#2485C2212yes—
303#2482C2212yes—
304#2480C2212yes—
305#2480C2212yes—
306#2478C2212yescomplemented
307#2478C2212yescomplemented
308#2478C2212yescomplemented
309#2478C2212yescomplemented
310#2477C2212yes—
311#2474C2212yes—
312#2474C2212yes—
313#2473C2212yescomplemented
314#2469C2212yes—
315#2469C2212yes—
316#2468C2212yes—
317#2468C2212yes—
318#2468C2212yes—
319#2468C2212yes—
320#2465C2212yes—
321#2462C2212yescomplemented
322#2460C2212yes—
323#2453C2212yescomplemented
324#2451C2212yescomplemented
325#2450C2212yes—
326#2450C2212yes—
327#2449C2212yes—
328#2446C2212yescomplemented
329#2446C2212yescomplemented
330#2443C2212yes—
331#2442C2212yes—
332#2442C2212yescomplemented
333#2440C2212yescomplemented
334#2438C2212yescomplemented
335#2438C2212yescomplemented
336#2438C2212yescomplemented
337#2437C2212yes—
338#2437C2212yes—
339#2429C2212yes—
340#2427C2212yes—
341#2425C2212yes—
342#2423C2212yes—
343#2419C2212yes—
344#2419C2212yes—
345#2419C2212yes—
346#2419C2212yescomplemented
347#2418C2212yes—
348#2418C2212yes—
349#2417C2212yes—
350#2415C2212yes—
351#2413C2212yes—
352#2399C2212yescomplemented
353#2395C2212yes—
354C2×#400C2212yescomplemented
355#2379C2211yescharacteristic, complemented
356#2378C2212yes—
357#2372C2212yescomplemented
358#2370C2212yescomplemented
359#2359C2212yes—
360#2359C2212yescomplemented
361#2353C2212yes—
362D4×C4⋊C4C2212yes—
363D4×C4⋊C4C2211yescharacteristic, complemented
364#2347C2212yes—
365#2344C2212yescomplemented
366#2343C2212yes—
367#2327C2212yescomplemented
368#2325C2212yes—
369#2325C2211yescharacteristic
370#2318C2212yes—
371#2316C2211yescharacteristic
372#2316C2212yescomplemented
373#2315C2211yescharacteristic
374#2314C2212yes—
375#2312C2211yescharacteristic
376#2312C2211yescharacteristic
377C4×C22⋊Q8C2211yescharacteristic
378C2×#388C2211yescharacteristic
379#563—44no—
380#556—44no—
381#542—48no—
382#538—44no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390#529—44no—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#125C2311yescharacteristic
401C2×#125C2311yescharacteristic
402C2×#125C2311yescharacteristic
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#124C2312yes—
407C2×#124C2311yescharacteristic
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#120C2312yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C22⋊C4C2311yescharacteristic
454C22×C22⋊C4C2311yescharacteristic
455C22×C22⋊C4C2311yescharacteristic
456C22×C22⋊C4C2312yes—
457C22×C42C2311yescharacteristic
458#401C2312yes—
459#401C2312yes—
460#401C2312yes—
461#401C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
680#395C2312yes—
681#395C2312yes—
682#395C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2311yescharacteristic
716#391C2311yescharacteristic
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2311yescharacteristic
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2311yescharacteristic
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2311yescharacteristic
764#389C2311yescharacteristic
765#389C2311yescharacteristic
766#389C2311yescharacteristic
767#389C2311yescharacteristic
768#389C2311yescharacteristic
769#389C2312yes—
770#389C2311yescharacteristic
771#389C2311yescharacteristic
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#384C2312yes—
998#384C2312yes—
999#384C2311yescharacteristic
1000#384C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#382C2311yescharacteristic
1009#382C2311yescharacteristic
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2311yescharacteristic
1033#380C2311yescharacteristic
1034#380C2311yescharacteristic
1035#380C2311yescharacteristic
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2311yescharacteristic
1043#380C2311yescharacteristic
1044#380C2311yescharacteristic
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2311yescharacteristic
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#379C2312yes—
1063#379C2312yes—
1064#379C2312yes—
1065#379C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2311yescharacteristic
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2411yescharacteristic
1116C23×C4C2412yes—
1117C23×C4C2411yescharacteristic
1118C23×C4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2411yescharacteristic
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C4⋊Q8—42no—
1132C4⋊Q8—44no—
1133C4⋊Q8—44no—
1134C4⋊Q8—44no—
1135C4⋊Q8—82no—
1136C4⋊Q8—82no—
1137C4⋊Q8—82no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#126—44no—
1142#126—44no—
1143#126—44no—
1144#126—44no—
1145#126—44no—
1146#126—82no—
1147#125—42no—
1148#125—42no—
1149#125—42no—
1150#125—44no—
1151#125—82no—
1152#125—82no—
1153#124—24no—
1154#124—28no—
1155#124—44no—
1156#124—44no—
1157#124—44no—
1158#123—28no—
1159#123—44no—
1160#123—44no—
1161#123—44no—
1162#123—44no—
1163#123—82no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—42no—
1172C22⋊Q8—42no—
1173C22⋊Q8—42no—
1174C22⋊Q8—82no—
1175C22⋊Q8—82no—
1176C22⋊Q8—82no—
1177C22⋊Q8—82no—
1178#121—24no—
1179#121—28no—
1180#120—44no—
1181C4×Q8—42no—
1182C4×Q8—44no—
1183C4×Q8—42no—
1184C4×Q8—44no—
1185C4×D4—24no—
1186C4×D4—28no—
1187C4×D4—44no—
1188C4×D4—44no—
1189C4×D4—44no—
1190C4×D4—82no—
1191C4×D4—82no—
1192#117—28no—
1193#117—44no—
1194#117—44no—
1195#117—44no—
1196#117—82no—
1197C2×C4⋊C4—44no—
1198C2×C4⋊C4—42no—
1199C2×C4⋊C4—44no—
1200C2×C4⋊C4C2411yescharacteristic
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2411yescharacteristic
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2411yescharacteristic
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2411yescharacteristic
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2411yescharacteristic
1237C2×C4⋊C4C2411yescharacteristic
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C22⋊C4—24no—
1308C2×C22⋊C4—42no—
1309C2×C22⋊C4—42no—
1310C2×C22⋊C4—82no—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C42—42no—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2411yescharacteristic
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2411yescharacteristic
1375C2×C42C2411yescharacteristic
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2411yescharacteristic
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520C24—22no—
1521C24—41no—
1522C24—41no—
1523C24—41no—
1524C24—41no—
1525C24—41no—
1526C24—41no—
1527C24C2512yes—
1528C24C2512yes—
1529C24C2511yescharacteristic
1530C2×Q8—22no—
1531C2×Q8—24no—
1532C2×Q8—22no—
1533C2×Q8—41no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—41no—
1538C2×Q8—41no—
1539C2×Q8—42no—
1540C2×Q8—41no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—41no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—41no—
1550C2×Q8—42no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—41no—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—41no—
1559C2×D4—41no—
1560C2×D4—42no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—42no—
1564C2×D4—42no—
1565C2×D4H(5,𝔽2)14yes—
1566C22×C4—24no—
1567C22×C4—24no—
1568C22×C4—24no—
1569C22×C4—22no—
1570C22×C4—24no—
1571C22×C4—22no—
1572C22×C4—24no—
1573C22×C4—22no—
1574C22×C4—41no—
1575C22×C4—41no—
1576C22×C4—42no—
1577C22×C4—41no—
1578C22×C4—41no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—41no—
1583C22×C4—42no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—42no—
1587C22×C4—41no—
1588C22×C4—42no—
1589C22×C4—41no—
1590C22×C4—41no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—41no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—41no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—41no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—41no—
1610C22×C42−1+414yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2511yescharacteristic
1619C22×C4C2511yescharacteristic
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2511yescharacteristic
1637C22×C4C2512yes—
1638C22×C4C2511yescharacteristic
1639C22×C4C2512yes—
1640C22×C4C2511yescharacteristic
1641C22×C4C2512yes—
1642C22×C4C2511yescharacteristic
1643C4⋊C4—22no—
1644C4⋊C4—24no—
1645C4⋊C4—22no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—22no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—41no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—41no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—41no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—41no—
1687C4⋊C4—41no—
1688C4⋊C4—41no—
1689C4⋊C4—41no—
1690C4⋊C4—41no—
1691C4⋊C4—41no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—41no—
1712C4⋊C4—41no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—41no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—41no—
1737C4⋊C4—41no—
1738C4⋊C4—41no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—41no—
1745C4⋊C4—41no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C42—22no—
1808C42—22no—
1809C42—24no—
1810C42—24no—
1811C42—24no—
1812C42—24no—
1813C42—41no—
1814C42—41no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C23—21no—
1835C23—22no—
1836C23—21no—
1837C23—22no—
1838C23—21no—
1839C23—22no—
1840C23—21no—
1841C23—21no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—21no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23—44no—
1854C23—82no—
1855C23—82no—
1856C23—161no—
1857C23—161no—
1858C23—161no—
1859C23—161no—
1860C23C2×H(5,𝔽2)14yes—
1861C23C2×2−1+412yes—
1862C23C2611yescharacteristic
1863Q8—84no—
1864Q8—82no—
1865Q8—82no—
1866Q8—84no—
1867Q8—162no—
1868Q8—162no—
1869Q8—161no—
1870Q8—162no—
1871D4—44no—
1872D4—48no—
1873D4—84no—
1874D4—84no—
1875C2×C4—21no—
1876C2×C4—22no—
1877C2×C4—21no—
1878C2×C4—22no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—22no—
1882C2×C4—21no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—22no—
1886C2×C4—21no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—21no—
1906C2×C4—21no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—21no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—21no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—21no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—44no—
1969C2×C4—48no—
1970C2×C4—82no—
1971C2×C4—82no—
1972C2×C4—84no—
1973C2×C4—84no—
1974C2×C4—84no—
1975C2×C4—82no—
1976C2×C4—162no—
1977C2×C4—162no—
1978C2×C4—162no—
1979C2×C4—162no—
1980C2×C4—161no—
1981C2×C4—162no—
1982C2×C4—161no—
1983C2×C4C2×H(5,𝔽2)12yes—
1984C2×C4C2×2−1+414yes—
1985C2×C4#58512yes—
1986C22—24no—
1987C22—22no—
1988C22—24no—
1989C22—22no—
1990C22—22no—
1991C22—24no—
1992C22—42no—
1993C22—41no—
1994C22—42no—
1995C22—41no—
1996C22—41no—
1997C22—42no—
1998C22—41no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—42no—
2003C22—42no—
2004C22—42no—
2005C22—42no—
2006C22—42no—
2007C22—164no—
2008C22C22×H(5,𝔽2)11yescharacteristic
2009C22C22×2−1+411yescharacteristic
2010C22C2×#58511yescharacteristic
2011C22H(7,𝔽2)11yescharacteristic
2012C222−1+611yescharacteristic
2013C222−1+611yescharacteristic
2014C222−1+611yescharacteristic
2015C4—22no—
2016C4—22no—
2017C4—24no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—41no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—41no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—41no—
2045C4—41no—
2046C4—42no—
2047C2—44no—
2048C2—42no—
2049C2—82no—
2050C2#6286611yescharacteristic
2051C2#6287711yescharacteristic
2052C2#6289811yescharacteristic
2053C2#6290411yescharacteristic
2054C2#6291511yescharacteristic
2055C2#6298011yescharacteristic
2056C2#6306911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#538C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58644C2semidirect
2. #57720C2semidirect
3. #57535C2semidirect
4. #57256C2semidirect
5. #56416C2semidirect
6. #56071C2semidirect
7. #55810C2semidirect
8. #55746C2semidirect
9. #55488C2semidirect
10. #54229C2semidirect
11. #54058C2semidirect
12. #53890C2semidirect
13. #53219C2semidirect
14. #52680C2semidirect
15. #51661C2semidirect
16. #51489C2semidirect
17. #49586C2semidirect
18. #49025C2semidirect
19. #48941C2semidirect
20. #46839C2semidirect
22. #46132C2semidirect
23. #45288C2semidirect
24. #44843C2semidirect
25. #43517C2semidirect
26. #42159C2semidirect
27. #42008C2semidirect
28. #41436C2semidirect
29. #40763C2semidirect
30. #40620C2semidirect
31. #39543C2semidirect
32. #38923C2semidirect
34. #37212C2semidirect
35. #36750C2semidirect
36. C2×#563C22semidirect
37. C2×#556C22semidirect
45. #2843C22semidirect
46. #2843C22semidirect
47. #2843C22semidirect
50. #2839C22semidirect
51. #2839C22semidirect
52. #2839C22semidirect
53. #2839C22semidirect
60. #2835C22semidirect
62. #2822C22semidirect
63. #2822C22semidirect
65. #2810C22semidirect
66. #2810C22semidirect
67. #2809C22semidirect
69. #2806C22semidirect
70. #2806C22semidirect
71. #2806C22semidirect
72. #2805C22semidirect
73. #2805C22semidirect
74. #2805C22semidirect
75. #2802C22semidirect
76. #2799C22semidirect
79. #2794C22semidirect
81. #2791C22semidirect
84. #2789C22semidirect
90. #2787C22semidirect
95. #2776C22semidirect
96. #2776C22semidirect
97. #2776C22semidirect
98. #2776C22semidirect
105. #2770C22semidirect
109. #2767C22semidirect
111. #2762C22semidirect
112. #2758C22semidirect
113. #2755C22semidirect
114. #2755C22semidirect
115. #2755C22semidirect
116. #2755C22semidirect
121. #2747C22semidirect
122. #2747C22semidirect
126. #2745C22semidirect
133. #2738C22semidirect
134. #2738C22semidirect
137. #2734C22semidirect
138. #2734C22semidirect
139. #2734C22semidirect
140. #2734C22semidirect
146. #2726C22semidirect
149. #2722C22semidirect
150. #2722C22semidirect
151. #2722C22semidirect
152. #2722C22semidirect
158. #2717C22semidirect
165. #2713C22semidirect
166. #2713C22semidirect
167. #2713C22semidirect
168. #2713C22semidirect
169. #2713C22semidirect
177. #2698C22semidirect
178. #2698C22semidirect
184. #2690C22semidirect
186. #2689C22semidirect
187. #2689C22semidirect
202. #2666C22semidirect
203. #2666C22semidirect
204. #2666C22semidirect
205. #2666C22semidirect
210. #2659C22semidirect
211. #2655C22semidirect
212. #2655C22semidirect
213. #2655C22semidirect
221. #2647C22semidirect
223. #2646C22semidirect
227. #2625C22semidirect
229. #2621C22semidirect
230. #2612C22semidirect
231. #2611C22semidirect
232. #2605C22semidirect
233. #2605C22semidirect
237. #2590C22semidirect
238. #2590C22semidirect
239. #2590C22semidirect
240. #2586C22semidirect
241. #2585C22semidirect
242. #2582C22semidirect
248. #2570C22semidirect
249. #2569C22semidirect
250. #2569C22semidirect
253. #2564C22semidirect
256. #2551C22semidirect
257. #2550C22semidirect
259. #2549C22semidirect
260. #2549C22semidirect
262. #2547C22semidirect
263. #2546C22semidirect
266. #2533C22semidirect
271. #2528C22semidirect
275. #2523C22semidirect
281. #2520C22semidirect
285. #2507C22semidirect
286. #2507C22semidirect
288. #2505C22semidirect
289. #2505C22semidirect
292. #2496C22semidirect
293. #2496C22semidirect
294. #2495C22semidirect
295. #2494C22semidirect
296. #2493C22semidirect
299. #2489C22semidirect
306. #2478C22semidirect
307. #2478C22semidirect
308. #2478C22semidirect
309. #2478C22semidirect
313. #2473C22semidirect
321. #2462C22semidirect
323. #2453C22semidirect
324. #2451C22semidirect
328. #2446C22semidirect
329. #2446C22semidirect
332. #2442C22semidirect
333. #2440C22semidirect
334. #2438C22semidirect
335. #2438C22semidirect
336. #2438C22semidirect
346. #2419C22semidirect
352. #2399C22semidirect
354. C2×#400C22semidirect
355. #2379C22semidirect
357. #2372C22semidirect
358. #2370C22semidirect
360. #2359C22semidirect
363. D4×C4⋊C4C22semidirect
365. #2344C22semidirect
367. #2327C22semidirect
372. #2316C22semidirect

Maximal subgroups

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

subgroupindex
#586442
#577202
#575352
#572562
#564162
#560712
#558102
#557462
#554882
#542292
#540582
#538902
#532192
#526802
#516612
#514892
#495862
#490252
#489412
#468392
#468252
#461322
#452882
#448432
#435172
#421592
#420082
#414362
#407632
#406202
#395432
#389232
#377622
#372122
#367502