Finite Group Databasebeta

← #8935499

Subgroups — #8935499

Order 512.

4284 conjugacy classes of subgroups.

The subgroup lattice has 2096 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58429C212yesmaximal, complemented
2#58429C212yesmaximal, complemented
3#56084C212yesmaximal, complemented
4#55884C212yesmaximal, complemented
5#55810C212yesmaximal, complemented
6#54244C212yesmaximal, complemented
7#51670C212yesmaximal, complemented
8#51646C212yesmaximal, complemented
9#50201C212yesmaximal, complemented
10#49503C212yesmaximal, complemented
11#49314C212yesmaximal, complemented
12#49031C212yesmaximal, complemented
13#48788C212yesmaximal, complemented
14#48367C212yesmaximal, complemented
15#48120C212yesmaximal, complemented
16#46839C212yesmaximal, complemented
17#46655C212yesmaximal, complemented
18#45288C212yesmaximal, complemented
19#43519C212yesmaximal, complemented
20#43499C212yesmaximal, complemented
21#43241C212yesmaximal, complemented
22#42007C212yesmaximal, complemented
23#41355C212yesmaximal, complemented
24#41208C212yesmaximal, complemented
25#40895C212yesmaximal, complemented
26#40617C212yesmaximal, complemented
27#37956C211yesmaximal, characteristic, complemented
28#37933C211yesmaximal, characteristic, complemented
29#37760C211yesmaximal, characteristic
30#37760C211yesmaximal, characteristic
31#36728C211yesmaximal, characteristic, complemented
32#36021C212yesmaximal, complemented
33#35851C212yesmaximal, complemented
34#35516C211yesmaximal, characteristic
35#35368C211yesmaximal, characteristic, complemented
36C2×#552C2212yescomplemented
37C2×#539C2211yescharacteristic
38C2×#539C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#520C2211yescharacteristic
41#2848C2211yescharacteristic
42#2848C2211yescharacteristic
43#2845C2212yescomplemented
44#2843C2212yescomplemented
45#2843C2212yescomplemented
46#2841C2212yes—
47#2839C2212yescomplemented
48#2839C2212yescomplemented
49#2839C2212yescomplemented
50#2839C2212yescomplemented
51#2839C2212yescomplemented
52#2834C2212yes—
53#2807C2212yes—
54#2802C2212yescomplemented
55#2802C2212yescomplemented
56#2802C2212yescomplemented
57#2794C2212yescomplemented
58#2792C2212yescomplemented
59#2792C2212yescomplemented
60#2791C2212yescomplemented
61#2791C2212yescomplemented
62#2791C2212yescomplemented
63#2791C2212yescomplemented
64#2790C2212yes—
65#2788C2212yes—
66#2788C2212yes—
67#2787C2212yes—
68#2787C2212yes—
69#2787C2212yes—
70#2787C2212yescomplemented
71#2782C2212yes—
72#2782C2212yes—
73#2776C2212yescomplemented
74#2776C2212yescomplemented
75#2776C2212yescomplemented
76#2774C2212yescomplemented
77#2774C2212yescomplemented
78#2774C2212yescomplemented
79#2774C2212yescomplemented
80#2774C2212yescomplemented
81#2771C2212yescomplemented
82#2770C2212yes—
83#2770C2212yes—
84#2769C2212yescomplemented
85#2768C2212yes—
86#2768C2212yes—
87#2768C2212yes—
88#2768C2212yes—
89#2768C2212yes—
90#2767C2212yescomplemented
91#2766C2212yescomplemented
92#2766C2212yescomplemented
93#2762C2212yescomplemented
94#2762C2212yescomplemented
95#2755C2212yescomplemented
96#2750C2212yes—
97#2748C2212yescomplemented
98#2747C2212yes—
99#2747C2212yes—
100#2747C2212yes—
101#2747C2212yes—
102#2747C2212yes—
103#2747C2212yes—
104#2747C2212yescomplemented
105#2746C2212yes—
106#2746C2212yes—
107#2745C2212yes—
108#2744C2212yes—
109#2744C2212yes—
110#2744C2212yescomplemented
111#2744C2212yescomplemented
112#2744C2212yescomplemented
113#2742C2212yes—
114#2739C2212yes—
115#2738C2212yes—
116#2738C2212yes—
117#2738C2212yes—
118#2738C2212yes—
119#2738C2212yescomplemented
120#2738C2212yescomplemented
121#2738C2212yescomplemented
122#2738C2212yescomplemented
123#2726C2212yescomplemented
124#2726C2212yescomplemented
125#2724C2212yescomplemented
126#2722C2212yes—
127#2722C2212yes—
128#2722C2212yes—
129#2722C2212yescomplemented
130#2720C2212yes—
131#2720C2212yes—
132#2719C2212yescomplemented
133#2719C2212yescomplemented
134#2719C2212yescomplemented
135#2708C2212yes—
136#2708C2212yes—
137#2704C2212yes—
138#2704C2212yes—
139#2698C2212yes—
140#2698C2212yes—
141#2698C2212yescomplemented
142#2698C2212yescomplemented
143#2695C2212yes—
144#2695C2212yes—
145#2695C2212yes—
146#2695C2212yes—
147#2695C2212yes—
148#2695C2212yes—
149#2690C2212yes—
150#2690C2212yes—
151#2689C2212yes—
152#2689C2212yes—
153#2689C2212yescomplemented
154#2689C2212yescomplemented
155#2689C2212yescomplemented
156#2687C2212yes—
157#2680C2212yes—
158#2680C2212yes—
159#2680C2212yes—
160#2680C2212yes—
161#2667C2212yes—
162#2666C2212yescomplemented
163#2666C2212yescomplemented
164#2666C2212yescomplemented
165#2666C2212yescomplemented
166#2666C2212yescomplemented
167#2659C2211yescharacteristic
168#2659C2211yescharacteristic
169#2659C2211yescharacteristic
170#2659C2211yescharacteristic
171#2655C2212yescomplemented
172#2655C2212yescomplemented
173#2652C2212yes—
174#2652C2212yes—
175#2652C2212yes—
176#2652C2212yescomplemented
177#2647C2212yescomplemented
178#2646C2211yescharacteristic
179#2646C2211yescharacteristic
180#2646C2212yescomplemented
181#2638C2212yes—
182#2634C2212yescomplemented
183#2627C2211yescharacteristic
184#2627C2211yescharacteristic
185#2627C2211yescharacteristic
186#2627C2211yescharacteristic
187#2627C2212yescomplemented
188#2627C2212yescomplemented
189#2625C2212yescomplemented
190#2611C2212yes—
191#2606C2212yescomplemented
192#2606C2212yescomplemented
193#2599C2212yes—
194#2590C2212yescomplemented
195#2590C2212yescomplemented
196#2590C2212yescomplemented
197#2590C2212yescomplemented
198#2588C2212yescomplemented
199#2585C2212yescomplemented
200#2585C2212yescomplemented
201#2583C2212yescomplemented
202#2583C2212yescomplemented
203#2579C2212yes—
204#2578C2212yes—
205#2578C2212yes—
206#2578C2212yes—
207#2578C2212yes—
208#2577C2212yes—
209#2576C2212yes—
210#2575C2212yes—
211#2575C2212yes—
212#2575C2212yes—
213#2574C2212yes—
214#2573C2212yes—
215#2570C2212yescomplemented
216#2570C2212yescomplemented
217#2569C2212yes—
218#2569C2212yes—
219#2564C2212yes—
220#2561C2212yes—
221#2556C2212yes—
222#2553C2212yes—
223#2553C2212yes—
224#2553C2212yes—
225#2553C2212yes—
226#2552C2212yescomplemented
227#2549C2212yescomplemented
228#2534C2212yes—
229#2534C2212yes—
230#2530C2212yes—
231#2530C2212yescomplemented
232#2528C2212yescomplemented
233#2528C2212yescomplemented
234#2524C2212yescomplemented
235#2522C2212yes—
236#2522C2212yes—
237#2522C2212yes—
238#2517C2212yescomplemented
239#2515C2212yescomplemented
240#2515C2212yescomplemented
241#2507C2212yescomplemented
242#2507C2212yescomplemented
243#2506C2212yescomplemented
244#2505C2212yes—
245#2505C2212yes—
246#2505C2212yes—
247#2505C2212yes—
248#2505C2212yescomplemented
249#2499C2212yescomplemented
250#2497C2212yes—
251#2496C2212yescomplemented
252#2495C2212yes—
253#2495C2212yes—
254#2494C2212yes—
255#2494C2212yescomplemented
256#2493C2212yes—
257#2493C2212yescomplemented
258#2493C2212yescomplemented
259#2487C2212yes—
260#2486C2212yes—
261#2486C2212yes—
262#2485C2212yes—
263#2485C2212yes—
264#2485C2212yes—
265#2485C2212yes—
266#2484C2212yescomplemented
267#2482C2212yes—
268#2480C2212yes—
269#2480C2212yes—
270#2480C2212yes—
271#2480C2212yes—
272#2478C2212yes—
273#2478C2212yes—
274#2478C2212yescomplemented
275#2478C2212yescomplemented
276#2478C2212yescomplemented
277#2478C2212yescomplemented
278#2478C2212yescomplemented
279#2475C2212yes—
280#2475C2212yes—
281#2473C2212yes—
282#2473C2212yes—
283#2473C2212yes—
284#2473C2212yes—
285#2473C2212yes—
286#2473C2212yes—
287#2473C2212yes—
288#2473C2212yescomplemented
289#2473C2212yescomplemented
290#2470C2212yes—
291#2470C2212yes—
292#2470C2212yes—
293#2468C2212yes—
294#2468C2212yes—
295#2468C2212yes—
296#2468C2212yes—
297#2468C2212yes—
298#2468C2212yes—
299#2466C2212yes—
300#2466C2212yes—
301#2465C2212yes—
302#2462C2212yescomplemented
303#2462C2212yescomplemented
304#2462C2212yescomplemented
305#2453C2212yescomplemented
306#2450C2212yes—
307#2449C2212yes—
308#2449C2212yes—
309#2442C2212yes—
310#2442C2212yes—
311#2442C2212yescomplemented
312#2442C2212yescomplemented
313#2438C2212yescomplemented
314#2423C2212yes—
315#2422C2212yes—
316#2421C2212yes—
317#2420C2212yes—
318#2419C2212yes—
319#2419C2212yes—
320#2419C2212yes—
321#2419C2212yes—
322#2419C2212yes—
323#2419C2212yes—
324#2419C2212yescomplemented
325#2419C2212yescomplemented
326#2418C2212yes—
327#2418C2212yes—
328#2418C2212yes—
329#2418C2212yes—
330#2406C2212yes—
331#2406C2212yes—
332#2399C2212yescomplemented
333#2395C2212yes—
334#2395C2212yes—
335#2395C2212yes—
336C2×#398C2212yescomplemented
337#2383C2212yes—
338#2382C2212yescomplemented
339#2376C2212yescomplemented
340#2374C2212yescomplemented
341#2373C2212yes—
342#2373C2212yes—
343#2370C2212yescomplemented
344#2360C2212yes—
345#2359C2212yes—
346#2359C2212yes—
347#2359C2212yes—
348#2353C2212yes—
349#2353C2212yescomplemented
350D4×C4⋊C4C2212yes—
351D4×C4⋊C4C2212yes—
352#2347C2212yes—
353#2344C2212yescomplemented
354#2344C2212yescomplemented
355#2343C2212yes—
356#2334C2212yes—
357#2329C2211yescharacteristic
358#2329C2211yescharacteristic
359#2329C2211yescharacteristic
360#2329C2211yescharacteristic
361#2325C2211yescharacteristic
362#2325C2211yescharacteristic
363#2322C2212yes—
364#2318C2212yes—
365#2317C2211yescharacteristic
366#2316C2211yescharacteristic
367#2316C2211yescharacteristic
368#2315C2211yescharacteristic
369#2315C2211yescharacteristic
370#2315C2211yescharacteristic
371#2314C2212yes—
372#2313C2211yescharacteristic
373#2311C2211yescharacteristic
374C2×#385C2211yescharacteristic
375C2×#385C2211yescharacteristic
376#2280C2211yescharacteristic
377C2×#380C2211yescharacteristic
378#2273C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C24×C4C2311yescharacteristic
381#552—48no—
382#539—44no—
383#539—44no—
384C2×#126C2312yes—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399#525—44no—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#120C2312yes—
425#520—44no—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×#117C2312yes—
438C2×#117C2311yescharacteristic
439C2×#117C2311yescharacteristic
440C2×#117C2311yescharacteristic
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C22⋊C4C2311yescharacteristic
456C22×C22⋊C4C2311yescharacteristic
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2311yescharacteristic
459C22×C22⋊C4C2311yescharacteristic
460C22×C22⋊C4C2311yescharacteristic
461#401C2312yes—
462#401C2312yes—
463#401C2312yes—
464#401C2312yes—
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#400C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#398C2312yes—
530#398C2312yes—
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#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#398C2312yes—
607#398C2312yes—
608#398C2312yes—
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#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#397C2312yes—
644#397C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#395C2312yes—
656#395C2312yes—
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#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#393C2312yes—
684#393C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#390C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#387C2312yes—
796#387C2312yes—
797#387C2312yes—
798#387C2312yes—
799#387C2312yes—
800#387C2312yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
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#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#385C2312yes—
910#385C2312yes—
911#385C2312yes—
912#385C2312yes—
913#385C2312yes—
914#385C2312yes—
915#385C2312yes—
916#385C2312yes—
917#385C2312yes—
918#385C2312yes—
919#385C2312yes—
920#385C2312yes—
921#385C2312yes—
922#385C2312yes—
923#385C2312yes—
924#385C2312yes—
925#385C2312yes—
926#385C2312yes—
927#385C2312yes—
928#385C2312yes—
929#385C2312yes—
930#385C2312yes—
931#385C2312yes—
932#385C2312yes—
933#385C2312yes—
934#385C2312yes—
935#385C2312yes—
936#385C2312yes—
937#385C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
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#384C2312yes—
972#384C2312yes—
973#384C2312yes—
974#384C2312yes—
975#384C2312yes—
976#383C2312yes—
977#383C2312yes—
978#383C2312yes—
979#383C2312yes—
980#383C2312yes—
981#383C2312yes—
982#383C2312yes—
983#383C2312yes—
984#382C2312yes—
985#382C2312yes—
986#382C2312yes—
987#382C2312yes—
988#382C2312yes—
989#382C2312yes—
990#382C2312yes—
991#382C2312yes—
992#382C2312yes—
993#382C2312yes—
994#382C2312yes—
995#382C2312yes—
996#381C2312yes—
997#381C2312yes—
998#381C2312yes—
999#381C2312yes—
1000#381C2312yes—
1001#381C2312yes—
1002#381C2312yes—
1003#381C2312yes—
1004#381C2312yes—
1005#381C2312yes—
1006#381C2312yes—
1007#381C2312yes—
1008#381C2312yes—
1009#381C2312yes—
1010#381C2312yes—
1011#380C2312yes—
1012#380C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2311yescharacteristic
1016#380C2311yescharacteristic
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2311yescharacteristic
1028#380C2311yescharacteristic
1029#380C2312yes—
1030#380C2312yes—
1031#380C2311yescharacteristic
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2311yescharacteristic
1036#380C2311yescharacteristic
1037#380C2311yescharacteristic
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2311yescharacteristic
1043#380C2311yescharacteristic
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#379C2312yes—
1053#379C2312yes—
1054#379C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊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—
1092#376C2312yes—
1093#376C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2311yescharacteristic
1096C2×#95C2311yescharacteristic
1097C2×#95C2311yescharacteristic
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2311yescharacteristic
1103C25C2411yescharacteristic
1104C2×#41—24no—
1105C2×#41—42no—
1106C2×#41—42no—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2411yescharacteristic
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C23×C4—42no—
1116C23×C4—42no—
1117C23×C4—42no—
1118C23×C4C2411yescharacteristic
1119C23×C4C2412yes—
1120C23×C4C2411yescharacteristic
1121C23×C4C2411yescharacteristic
1122C23×C4C2411yescharacteristic
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C23×C4C2411yescharacteristic
1133C23×C4C2411yescharacteristic
1134C23×C4C2411yescharacteristic
1135C23×C4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C23×C4C2411yescharacteristic
1138C23×C4C2411yescharacteristic
1139C23×C4C2411yescharacteristic
1140C23×C4C2411yescharacteristic
1141C23×C4C2412yes—
1142C23×C4C2411yescharacteristic
1143#126—44no—
1144#126—44no—
1145#126—44no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—44no—
1156#125—44no—
1157#125—44no—
1158#123—28no—
1159#123—28no—
1160#123—44no—
1161#123—44no—
1162#123—44no—
1163#123—44no—
1164#123—44no—
1165#123—44no—
1166#123—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—42no—
1169C22⋊Q8—42no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—42no—
1175C22⋊Q8—42no—
1176C22⋊Q8—42no—
1177C22⋊Q8—42no—
1178C22⋊Q8—42no—
1179C22⋊Q8—42no—
1180#121—24no—
1181#121—24no—
1182#120—44no—
1183C4×Q8—44no—
1184C4×Q8—44no—
1185C4×D4—28no—
1186C4×D4—28no—
1187C4×D4—44no—
1188C4×D4—44no—
1189C4×D4—44no—
1190C4×D4—44no—
1191C4×D4—44no—
1192C4×D4—44no—
1193C4×D4—44no—
1194#117—28no—
1195#117—42no—
1196#117—42no—
1197#117—44no—
1198#117—44no—
1199#117—44no—
1200#117—44no—
1201#117—42no—
1202C2×C4⋊C4—42no—
1203C2×C4⋊C4—42no—
1204C2×C4⋊C4—44no—
1205C2×C4⋊C4—44no—
1206C2×C4⋊C4—42no—
1207C2×C4⋊C4—42no—
1208C2×C4⋊C4—42no—
1209C2×C4⋊C4—42no—
1210C2×C4⋊C4—44no—
1211C2×C4⋊C4—44no—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2411yescharacteristic
1221C2×C4⋊C4C2411yescharacteristic
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2411yescharacteristic
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1261C2×C4⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C22⋊C4—24no—
1320C2×C22⋊C4—42no—
1321C2×C22⋊C4—42no—
1322C2×C22⋊C4—42no—
1323C2×C22⋊C4—42no—
1324C2×C22⋊C4—42no—
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×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
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×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
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—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527C24—22no—
1528C24—22no—
1529C24—22no—
1530C24—41no—
1531C24—41no—
1532C24—41no—
1533C24—41no—
1534C24C2512yes—
1535C24C2511yescharacteristic
1536C24C2511yescharacteristic
1537C24C2511yescharacteristic
1538#41—416no—
1539C2×Q8—22no—
1540C2×Q8—41no—
1541C2×Q8—41no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—41no—
1546C2×Q8—41no—
1547C2×Q8—41no—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×D4—24no—
1552C2×D4—24no—
1553C2×D4—24no—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—41no—
1560C2×D4—41no—
1561C2×D4—42no—
1562C2×D4H(5,𝔽2)14yes—
1563C22×C4—22no—
1564C22×C4—22no—
1565C22×C4—22no—
1566C22×C4—24no—
1567C22×C4—24no—
1568C22×C4—24no—
1569C22×C4—24no—
1570C22×C4—24no—
1571C22×C4—22no—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—22no—
1575C22×C4—24no—
1576C22×C4—22no—
1577C22×C4—22no—
1578C22×C4—24no—
1579C22×C4—22no—
1580C22×C4—22no—
1581C22×C4—41no—
1582C22×C4—41no—
1583C22×C4—42no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—41no—
1591C22×C4—41no—
1592C22×C4—41no—
1593C22×C4—42no—
1594C22×C4—41no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—41no—
1600C22×C4—41no—
1601C22×C4—41no—
1602C22×C4—41no—
1603C22×C4—41no—
1604C22×C4—41no—
1605C22×C4—41no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—41no—
1609C22×C4—42no—
1610C22×C4—41no—
1611C22×C4—42no—
1612C22×C4—41no—
1613C22×C4—41no—
1614C22×C4—41no—
1615C22×C4—41no—
1616C22×C4—41no—
1617C22×C4—41no—
1618C22×C4—41no—
1619C22×C4—41no—
1620C22×C4—41no—
1621C22×C4—41no—
1622C22×C4—41no—
1623C22×C4—41no—
1624C22×C4—41no—
1625C22×C4—41no—
1626C22×C4—41no—
1627C22×C4—41no—
1628C22×C4—41no—
1629C22×C4—41no—
1630C22×C4—41no—
1631C22×C4—41no—
1632C22×C4—41no—
1633C22×C4—41no—
1634C22×C4—41no—
1635C22×C4—41no—
1636C22×C4—41no—
1637C22×C4—88no—
1638C22×C42−1+414yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2511yescharacteristic
1654C22×C4C2511yescharacteristic
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2511yescharacteristic
1668C22×C4C2512yes—
1669C22×C4C2511yescharacteristic
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—22no—
1674C4⋊C4—22no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—41no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
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—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—41no—
1722C4⋊C4—41no—
1723C4⋊C4—41no—
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—41no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—41no—
1741C4⋊C4—41no—
1742C4⋊C4—41no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—41no—
1748C4⋊C4—41no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C42—24no—
1831C42—24no—
1832C42—24no—
1833C42—24no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C23—28no—
1856C23—21no—
1857C23—21no—
1858C23—21no—
1859C23—21no—
1860C23—21no—
1861C23—22no—
1862C23—21no—
1863C23—22no—
1864C23—21no—
1865C23—21no—
1866C23—21no—
1867C23—21no—
1868C23—21no—
1869C23—22no—
1870C23—22no—
1871C23—21no—
1872C23—22no—
1873C23—21no—
1874C23—21no—
1875C23—21no—
1876C23—21no—
1877C23—22no—
1878C23—21no—
1879C23—21no—
1880C23—82no—
1881C23—82no—
1882C23—82no—
1883C23—82no—
1884C23—82no—
1885C23—82no—
1886C23C2×H(5,𝔽2)14yes—
1887C23C2×2−1+412yes—
1888C23#58512yes—
1889C23#58512yes—
1890C23C2611yescharacteristic
1891Q8—44no—
1892Q8—84no—
1893Q8—161no—
1894Q8—161no—
1895D4—44no—
1896D4—48no—
1897D4—48no—
1898D4—48no—
1899C2×C4—28no—
1900C2×C4—21no—
1901C2×C4—21no—
1902C2×C4—22no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—21no—
1921C2×C4—21no—
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—22no—
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—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—44no—
1991C2×C4—48no—
1992C2×C4—84no—
1993C2×C4—82no—
1994C2×C4—82no—
1995C2×C4—82no—
1996C2×C4—82no—
1997C2×C4—84no—
1998C2×C4—84no—
1999C2×C4—84no—
2000C2×C4—84no—
2001C2×C4—82no—
2002C2×C4—82no—
2003C2×C4—82no—
2004C2×C4—82no—
2005C2×C4—84no—
2006C2×C4—161no—
2007C2×C4—161no—
2008C2×C4—161no—
2009C2×C4—161no—
2010C2×C4—161no—
2011C2×C4—161no—
2012C2×C4—161no—
2013C2×C4—161no—
2014C2×C4C2×H(5,𝔽2)12yes—
2015C2×C4C2×2−1+414yes—
2016C2×C4#58512yes—
2017C22—22no—
2018C22—24no—
2019C22—22no—
2020C22—22no—
2021C22—22no—
2022C22—22no—
2023C22—24no—
2024C22—22no—
2025C22—22no—
2026C22—22no—
2027C22—22no—
2028C22—24no—
2029C22—41no—
2030C22—41no—
2031C22—42no—
2032C22—41no—
2033C22—41no—
2034C22—42no—
2035C22—41no—
2036C22—41no—
2037C22—42no—
2038C22—41no—
2039C22—41no—
2040C22—42no—
2041C22—41no—
2042C22—41no—
2043C22—41no—
2044C22—41no—
2045C22—88no—
2046C22C22×H(5,𝔽2)11yescharacteristic
2047C22C22×2−1+411yescharacteristic
2048C22C2×#58511yescharacteristic
2049C22C2×#58511yescharacteristic
2050C22C2×#58511yescharacteristic
2051C222−1+611yescharacteristic
2052C222−1+611yescharacteristic
2053C4—22no—
2054C4—22no—
2055C4—24no—
2056C4—42no—
2057C4—41no—
2058C4—41no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—42no—
2064C4—42no—
2065C4—42no—
2066C4—42no—
2067C4—42no—
2068C4—42no—
2069C4—42no—
2070C4—42no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C2—44no—
2085C2—42no—
2086C2—42no—
2087C2—42no—
2088C2#6282011yescharacteristic
2089C2#6282511yescharacteristic
2090C2#6287311yescharacteristic
2091C2#6289811yescharacteristic
2092C2#6290411yescharacteristic
2093C2#6291111yescharacteristic
2094C2#6291511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58429C2semidirect
2. #58429C2semidirect
3. #56084C2semidirect
4. #55884C2semidirect
5. #55810C2semidirect
6. #54244C2semidirect
7. #51670C2semidirect
8. #51646C2semidirect
9. #50201C2semidirect
10. #49503C2semidirect
11. #49314C2semidirect
12. #49031C2semidirect
13. #48788C2semidirect
14. #48367C2semidirect
15. #48120C2semidirect
16. #46839C2semidirect
17. #46655C2semidirect
18. #45288C2semidirect
19. #43519C2semidirect
20. #43499C2semidirect
21. #43241C2semidirect
22. #42007C2semidirect
23. #41355C2semidirect
24. #41208C2semidirect
25. #40895C2semidirect
26. #40617C2semidirect
27. #37956C2semidirect
28. #37933C2semidirect
31. #36728C2semidirect
32. #36021C2semidirect
33. #35851C2semidirect
35. #35368C2semidirect
36. C2×#552C22semidirect
43. #2845C22semidirect
44. #2843C22semidirect
45. #2843C22semidirect
47. #2839C22semidirect
48. #2839C22semidirect
49. #2839C22semidirect
50. #2839C22semidirect
51. #2839C22semidirect
54. #2802C22semidirect
55. #2802C22semidirect
56. #2802C22semidirect
57. #2794C22semidirect
58. #2792C22semidirect
59. #2792C22semidirect
60. #2791C22semidirect
61. #2791C22semidirect
62. #2791C22semidirect
63. #2791C22semidirect
70. #2787C22semidirect
73. #2776C22semidirect
74. #2776C22semidirect
75. #2776C22semidirect
76. #2774C22semidirect
77. #2774C22semidirect
78. #2774C22semidirect
79. #2774C22semidirect
80. #2774C22semidirect
81. #2771C22semidirect
84. #2769C22semidirect
90. #2767C22semidirect
91. #2766C22semidirect
92. #2766C22semidirect
93. #2762C22semidirect
94. #2762C22semidirect
95. #2755C22semidirect
97. #2748C22semidirect
104. #2747C22semidirect
110. #2744C22semidirect
111. #2744C22semidirect
112. #2744C22semidirect
119. #2738C22semidirect
120. #2738C22semidirect
121. #2738C22semidirect
122. #2738C22semidirect
123. #2726C22semidirect
124. #2726C22semidirect
125. #2724C22semidirect
129. #2722C22semidirect
132. #2719C22semidirect
133. #2719C22semidirect
134. #2719C22semidirect
141. #2698C22semidirect
142. #2698C22semidirect
153. #2689C22semidirect
154. #2689C22semidirect
155. #2689C22semidirect
162. #2666C22semidirect
163. #2666C22semidirect
164. #2666C22semidirect
165. #2666C22semidirect
166. #2666C22semidirect
171. #2655C22semidirect
172. #2655C22semidirect
176. #2652C22semidirect
177. #2647C22semidirect
180. #2646C22semidirect
182. #2634C22semidirect
187. #2627C22semidirect
188. #2627C22semidirect
189. #2625C22semidirect
191. #2606C22semidirect
192. #2606C22semidirect
194. #2590C22semidirect
195. #2590C22semidirect
196. #2590C22semidirect
197. #2590C22semidirect
198. #2588C22semidirect
199. #2585C22semidirect
200. #2585C22semidirect
201. #2583C22semidirect
202. #2583C22semidirect
215. #2570C22semidirect
216. #2570C22semidirect
226. #2552C22semidirect
227. #2549C22semidirect
231. #2530C22semidirect
232. #2528C22semidirect
233. #2528C22semidirect
234. #2524C22semidirect
238. #2517C22semidirect
239. #2515C22semidirect
240. #2515C22semidirect
241. #2507C22semidirect
242. #2507C22semidirect
243. #2506C22semidirect
248. #2505C22semidirect
249. #2499C22semidirect
251. #2496C22semidirect
255. #2494C22semidirect
257. #2493C22semidirect
258. #2493C22semidirect
266. #2484C22semidirect
274. #2478C22semidirect
275. #2478C22semidirect
276. #2478C22semidirect
277. #2478C22semidirect
278. #2478C22semidirect
288. #2473C22semidirect
289. #2473C22semidirect
302. #2462C22semidirect
303. #2462C22semidirect
304. #2462C22semidirect
305. #2453C22semidirect
311. #2442C22semidirect
312. #2442C22semidirect
313. #2438C22semidirect
324. #2419C22semidirect
325. #2419C22semidirect
332. #2399C22semidirect
336. C2×#398C22semidirect
338. #2382C22semidirect
339. #2376C22semidirect
340. #2374C22semidirect
343. #2370C22semidirect
349. #2353C22semidirect
353. #2344C22semidirect
354. #2344C22semidirect

Maximal subgroups

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

subgroupindex
#584292
#560842
#558842
#558102
#542442
#516702
#516462
#502012
#495032
#493142
#490312
#487882
#483672
#481202
#468392
#466552
#452882
#435192
#434992
#432412
#420072
#413552
#412082
#408952
#406172
#379562
#379332
#377602
#367282
#360212
#358512
#355162
#353682