Finite Group Databasebeta

← #9065531

Subgroups — #9065531

Order 512.

4164 conjugacy classes of subgroups.

The subgroup lattice has 1969 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58969C212yesmaximal, complemented
2#58954C212yesmaximal, complemented
3#58405C212yesmaximal, complemented
4#56807C212yesmaximal, complemented
5#54854C211yesmaximal, characteristic
6#51721C212yesmaximal, complemented
7#51612C212yesmaximal
8#51448C212yesmaximal
9#51408C212yesmaximal, complemented
10#51284C212yesmaximal, complemented
11#51219C212yesmaximal, complemented
12#51110C212yesmaximal, complemented
13#50700C211yesmaximal, characteristic
14#50169C211yesmaximal, characteristic
15#50109C212yesmaximal, complemented
16#45389C212yesmaximal, complemented
17#45044C212yesmaximal, complemented
18#44894C212yesmaximal, complemented
19#44894C212yesmaximal, complemented
20#44824C211yesmaximal, characteristic
21#44617C212yesmaximal, complemented
22#44614C212yesmaximal, complemented
23#44448C211yesmaximal, characteristic
24#44395C212yesmaximal, complemented
25#44176C212yesmaximal, complemented
26#42245C212yesmaximal, complemented
27#42070C212yesmaximal, complemented
28#41679C211yesmaximal, characteristic
29#41333C212yesmaximal, complemented
30#41302C212yesmaximal
31#35949C211yesmaximal, characteristic
32#35872C212yesmaximal
33#35870C212yesmaximal, complemented
34#35810C212yesmaximal, complemented
35#35788C212yesmaximal, complemented
36C2×Q82C2212yes—
37C2×#557C2211yescharacteristic
38C2×#552C2211yescharacteristic
39C2×#544C2211yescharacteristic
40C2×#544C2211yescharacteristic
41#2844C2212yes—
42#2843C2211yescharacteristic
43#2839C2212yes—
44#2836C2212yes—
45#2835C2211yescharacteristic
46#2833C2212yes—
47#2833C2212yes—
48#2821C2212yes—
49#2817C2211yescharacteristic
50#2810C2212yes—
51#2805C2212yes—
52#2805C2212yes—
53#2805C2212yes—
54#2805C2212yes—
55#2802C2212yes—
56#2802C2212yes—
57#2798C2212yes—
58#2794C2212yes—
59#2794C2211yescharacteristic
60#2793C2212yes—
61#2792C2212yes—
62#2792C2211yescharacteristic
63#2789C2212yes—
64#2789C2212yes—
65#2776C2212yes—
66#2776C2212yes—
67#2775C2212yes—
68#2775C2212yes—
69#2774C2212yes—
70#2774C2212yes—
71#2774C2212yes—
72#2774C2212yes—
73#2774C2212yes—
74#2774C2212yes—
75#2774C2212yes—
76#2774C2212yes—
77#2773C2212yes—
78#2772C2212yes—
79#2772C2212yes—
80#2771C2212yes—
81#2771C2212yes—
82#2769C2212yes—
83#2767C2212yes—
84#2767C2212yes—
85#2767C2212yes—
86#2766C2212yes—
87#2766C2212yes—
88#2766C2212yes—
89#2766C2212yes—
90#2765C2212yes—
91#2763C2211yescharacteristic
92#2762C2212yes—
93#2762C2212yes—
94#2759C2212yes—
95#2758C2212yes—
96#2758C2212yes—
97#2758C2212yes—
98#2755C2212yes—
99#2748C2211yescharacteristic
100#2745C2212yes—
101#2745C2212yes—
102#2739C2212yes—
103#2738C2212yes—
104#2737C2212yes—
105#2734C2212yes—
106#2734C2212yes—
107#2734C2212yes—
108#2734C2212yes—
109#2734C2212yes—
110#2734C2212yes—
111#2729C2212yes—
112#2729C2212yes—
113#2729C2212yes—
114#2729C2212yes—
115#2726C2212yes—
116#2720C2212yes—
117#2720C2212yes—
118#2719C2212yes—
119#2719C2212yes—
120#2719C2212yes—
121#2719C2212yes—
122#2719C2212yes—
123#2719C2212yes—
124#2716C2212yes—
125#2713C2212yes—
126#2713C2212yes—
127#2713C2212yes—
128#2713C2212yes—
129#2713C2212yes—
130#2713C2212yes—
131#2713C2212yes—
132#2713C2212yes—
133#2713C2212yes—
134#2713C2212yes—
135#2713C2212yes—
136#2713C2212yes—
137#2704C2212yes—
138#2698C2212yes—
139#2690C2212yes—
140#2689C2212yes—
141#2689C2212yes—
142#2687C2212yes—
143#2683C2211yescharacteristic
144#2677C2212yes—
145#2677C2211yescharacteristic
146#2677C2212yes—
147#2677C2212yes—
148#2677C2212yes—
149#2667C2212yes—
150#2667C2212yes—
151#2666C2212yes—
152#2666C2212yes—
153#2666C2212yes—
154#2666C2212yes—
155#2666C2212yes—
156#2664C2212yes—
157#2663C2212yes—
158#2655C2212yes—
159#2655C2212yes—
160#2655C2212yes—
161#2655C2212yes—
162#2655C2212yes—
163#2650C2212yes—
164#2650C2212yes—
165#2649C2212yes—
166#2642C2212yes—
167#2642C2211yescharacteristic
168#2638C2211yescharacteristic
169#2637C2212yes—
170#2628C2212yes—
171#2627C2212yes—
172#2625C2211yescharacteristic
173#2611C2212yes—
174#2607C2212yes—
175#2607C2211yescharacteristic
176#2606C2212yes—
177#2606C2212yes—
178#2605C2212yes—
179#2604C2212yes—
180#2596C2212yes—
181#2596C2212yes—
182#2594C2212yes—
183#2594C2212yes—
184#2594C2212yes—
185#2590C2212yes—
186#2590C2212yes—
187#2590C2212yes—
188#2590C2212yes—
189#2588C2212yes—
190#2588C2212yes—
191#2588C2212yes—
192#2586C2212yes—
193#2586C2212yes—
194#2585C2212yes—
195#2585C2212yes—
196#2585C2212yes—
197#2585C2212yes—
198#2585C2212yes—
199#2584C2212yes—
200#2584C2212yes—
201#2584C2211yescharacteristic
202#2583C2212yes—
203#2581C2212yes—
204#2581C2212yes—
205#2579C2211yescharacteristic
206#2576C2212yes—
207#2575C2212yes—
208#2575C2212yes—
209#2575C2212yes—
210#2573C2212yes—
211#2573C2212yes—
212#2570C2212yes—
213#2570C2212yes—
214#2565C2212yes—
215#2565C2212yes—
216#2565C2212yes—
217#2564C2211yescharacteristic
218#2558C2212yes—
219#2558C2212yes—
220#2556C2212yes—
221#2556C2212yes—
222#2552C2212yes—
223#2551C2211yescharacteristic
224#2551C2212yes—
225#2551C2212yes—
226#2550C2212yes—
227#2550C2212yes—
228#2550C2212yes—
229#2550C2212yes—
230#2550C2212yes—
231#2550C2212yes—
232#2546C2212yes—
233#2546C2212yes—
234#2546C2212yes—
235#2542C2211yescharacteristic
236#2533C2212yes—
237#2533C2212yes—
238#2533C2212yes—
239#2533C2212yes—
240#2530C2212yes—
241#2530C2212yes—
242#2528C2212yes—
243#2528C2212yes—
244#2528C2212yes—
245#2527C2212yes—
246#2525C2212yes—
247#2524C2212yes—
248#2524C2212yes—
249#2524C2212yes—
250#2523C2211yescharacteristic
251#2523C2211yescharacteristic
252#2522C2212yes—
253#2520C2212yes—
254#2520C2212yes—
255#2520C2212yes—
256#2520C2212yes—
257#2519C2212yes—
258#2519C2212yes—
259#2517C2212yes—
260#2517C2211yescharacteristic
261#2515C2212yes—
262#2515C2212yes—
263#2514C2212yes—
264#2511C2212yes—
265#2509C2212yes—
266#2509C2212yes—
267#2508C2212yes—
268#2508C2212yes—
269#2507C2212yes—
270#2507C2212yes—
271#2506C2212yes—
272#2506C2212yes—
273#2505C2212yes—
274#2503C2211yescharacteristic
275#2488C2212yes—
276#2484C2211yescharacteristic
277#2479C2212yes—
278#2478C2212yes—
279#2477C2212yes—
280#2475C2212yes—
281#2475C2212yes—
282#2475C2212yes—
283#2475C2212yes—
284#2473C2212yes—
285#2470C2212yes—
286#2465C2212yes—
287#2465C2212yes—
288#2465C2212yes—
289#2465C2212yes—
290#2462C2212yes—
291#2462C2212yes—
292#2462C2212yes—
293#2462C2212yes—
294#2462C2212yes—
295#2462C2212yes—
296#2462C2212yes—
297#2462C2212yes—
298#2462C2212yes—
299#2462C2212yes—
300#2453C2212yes—
301#2453C2212yes—
302#2453C2212yes—
303#2453C2212yes—
304#2451C2212yes—
305#2451C2212yes—
306#2451C2212yes—
307#2451C2212yes—
308#2446C2212yes—
309#2446C2212yes—
310#2446C2212yes—
311#2446C2212yes—
312#2441C2212yes—
313#2440C2212yes—
314#2440C2212yes—
315#2439C2212yes—
316#2439C2212yes—
317#2439C2212yes—
318#2439C2212yes—
319#2438C2212yes—
320#2438C2212yes—
321#2438C2212yes—
322#2429C2212yes—
323#2429C2212yes—
324#2429C2212yes—
325#2429C2212yes—
326#2413C2212yes—
327#2402C2212yes—
328#2402C2212yes—
329#2402C2212yes—
330#2399C2212yes—
331#2398C2211yescharacteristic
332#2396C2212yes—
333#2396C2212yes—
334#2396C2212yes—
335#2396C2212yes—
336C2×#398C2211yescharacteristic
337#2382C2212yes—
338#2382C2212yes—
339#2378C2211yescharacteristic
340#2376C2211yescharacteristic
341#2374C2211yescharacteristic
342#2373C2212yes—
343#2370C2212yes—
344#2370C2212yes—
345#2370C2212yes—
346#2370C2212yes—
347#2369C2212yes—
348#2368C2212yes—
349#2368C2211yescharacteristic
350#2365C2212yes—
351#2365C2212yes—
352#2365C2212yes—
353#2365C2212yes—
354#2365C2212yes—
355#2362C2212yes—
356#2362C2212yes—
357#2362C2212yes—
358#2360C2212yes—
359#2360C2212yes—
360#2360C2212yes—
361#2356C2212yes—
362#2355C2212yes—
363#2345C2212yes—
364#2344C2212yes—
365#2343C2212yes—
366#2343C2212yes—
367#2336C2212yes—
368#2336C2212yes—
369#2332C2212yes—
370#2331C2212yes—
371#2331C2212yes—
372#2330C2212yes—
373#2327C2212yes—
374#2323C2212yes—
375#2323C2212yes—
376#2322C2211yescharacteristic
377#2276C2211yescharacteristic
378#2274C2212yes—
379Q82—48no—
380#557—44no—
381#552—44no—
382#544—44no—
383#544—44no—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2311yescharacteristic
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2312yes—
398C2×C4⋊Q8C2312yes—
399C2×C4⋊Q8C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2311yescharacteristic
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#123C2311yescharacteristic
417C2×#123C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2311yescharacteristic
449C2×#117C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454#401C2312yes—
455#401C2312yes—
456#401C2312yes—
457#401C2312yes—
458#401C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2311yescharacteristic
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#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#399C2311yescharacteristic
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#398C2311yescharacteristic
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#397C2311yescharacteristic
601#397C2311yescharacteristic
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2311yescharacteristic
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2311yescharacteristic
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2311yescharacteristic
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#394C2312yes—
665#394C2312yes—
666#393C2311yescharacteristic
667#393C2312yes—
668#393C2311yescharacteristic
669#393C2311yescharacteristic
670#393C2312yes—
671#393C2311yescharacteristic
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#390C2311yescharacteristic
715#390C2311yescharacteristic
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#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
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#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
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#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#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#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#387C2312yes—
969#387C2312yes—
970#387C2312yes—
971#386C2312yes—
972#386C2311yescharacteristic
973#386C2311yescharacteristic
974#386C2311yescharacteristic
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2311yescharacteristic
983#385C2312yes—
984#385C2311yescharacteristic
985#385C2311yescharacteristic
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#384C2312yes—
995#384C2312yes—
996#384C2312yes—
997#384C2311yescharacteristic
998#384C2311yescharacteristic
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#381C2311yescharacteristic
1024#381C2312yes—
1025#381C2312yes—
1026#381C2311yescharacteristic
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2311yescharacteristic
1034#380C2312yes—
1035#380C2312yes—
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2311yescharacteristic
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
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×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099#376C2312yes—
1100#376C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2312yes—
1103C22×Q8C2412yes—
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×D4C2411yescharacteristic
1115C23×C4C2411yescharacteristic
1116C23×C4C2412yes—
1117C23×C4C2412yes—
1118C23×C4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2411yescharacteristic
1121C23×C4C2411yescharacteristic
1122C23×C4C2411yescharacteristic
1123C4⋊Q8—28no—
1124C4⋊Q8—28no—
1125C4⋊Q8—28no—
1126C4⋊Q8—28no—
1127C4⋊Q8—44no—
1128C4⋊Q8—44no—
1129C4⋊Q8—44no—
1130C4⋊Q8—42no—
1131C4⋊Q8—44no—
1132C4⋊Q8—44no—
1133C4⋊Q8—44no—
1134C4⋊Q8—44no—
1135C4⋊Q8—44no—
1136C4⋊Q8—44no—
1137C4⋊Q8—44no—
1138C4⋊Q8—44no—
1139#126—44no—
1140#126—44no—
1141#125—28no—
1142#125—28no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—42no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#125—44no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#123—24no—
1156#123—44no—
1157C22⋊Q8—24no—
1158C22⋊Q8—24no—
1159C22⋊Q8—28no—
1160C22⋊Q8—28no—
1161C22⋊Q8—44no—
1162C22⋊Q8—44no—
1163C22⋊Q8—44no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—42no—
1168C22⋊Q8—42no—
1169C4×Q8—24no—
1170C4×Q8—42no—
1171C4×Q8—44no—
1172C4×Q8—44no—
1173C4×Q8—44no—
1174C4×Q8—44no—
1175C4×Q8—44no—
1176C4×Q8—44no—
1177C4×Q8—44no—
1178C4×Q8—44no—
1179C4×Q8—44no—
1180C4×Q8—44no—
1181C4×Q8—44no—
1182C4×D4—42no—
1183#117—28no—
1184#117—44no—
1185#117—44no—
1186#117—44no—
1187#117—44no—
1188#117—42no—
1189C2×C4⋊C4—28no—
1190C2×C4⋊C4—42no—
1191C2×C4⋊C4—42no—
1192C2×C4⋊C4—42no—
1193C2×C4⋊C4C2411yescharacteristic
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2411yescharacteristic
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2411yescharacteristic
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
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⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2411yescharacteristic
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2411yescharacteristic
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2411yescharacteristic
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2411yescharacteristic
1337C2×C22⋊C4C2411yescharacteristic
1338C2×C42C2412yes—
1339C2×C42C2412yes—
1340C2×C42C2412yes—
1341C2×C42C2412yes—
1342C2×C42C2412yes—
1343C2×C42C2412yes—
1344C2×C42C2411yescharacteristic
1345C2×C42C2412yes—
1346C2×C42C2412yes—
1347C2×C42C2412yes—
1348C2×C42C2412yes—
1349C2×C42C2412yes—
1350C2×C42C2412yes—
1351C2×C42C2412yes—
1352C2×C42C2412yes—
1353C2×C42C2412yes—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2411yescharacteristic
1377C2×C42C2411yescharacteristic
1378#95C2412yes—
1379#95C2412yes—
1380#95C2411yescharacteristic
1381#95C2412yes—
1382#95C2411yescharacteristic
1383#95C2412yes—
1384#95C2412yes—
1385#95C2411yescharacteristic
1386#95C2412yes—
1387#95C2412yes—
1388#95C2411yescharacteristic
1389#95C2412yes—
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
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#95C2411yescharacteristic
1483#95C2412yes—
1484#95C2411yescharacteristic
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—
1516C24C2511yescharacteristic
1517C24C2511yescharacteristic
1518C2×Q8—24no—
1519C2×Q8—24no—
1520C2×Q8—24no—
1521C2×Q8—24no—
1522C2×Q8—24no—
1523C2×Q8—24no—
1524C2×Q8—24no—
1525C2×Q8—41no—
1526C2×Q8—42no—
1527C2×Q8—42no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—42no—
1533C2×Q8—42no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—41no—
1537C2×Q8—41no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8H(5,𝔽2)14yes—
1547C2×D4—22no—
1548C2×D4—41no—
1549C2×D4—41no—
1550C22×C4—24no—
1551C22×C4—24no—
1552C22×C4—24no—
1553C22×C4—24no—
1554C22×C4—22no—
1555C22×C4—22no—
1556C22×C4—41no—
1557C22×C4—41no—
1558C22×C4—42no—
1559C22×C4—41no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—42no—
1564C22×C4—41no—
1565C22×C4—41no—
1566C22×C4—42no—
1567C22×C4—42no—
1568C22×C42−1+414yes—
1569C22×C4C2512yes—
1570C22×C4C2512yes—
1571C22×C4C2512yes—
1572C22×C4C2512yes—
1573C22×C4C2512yes—
1574C22×C4C2512yes—
1575C22×C4C2512yes—
1576C22×C4C2512yes—
1577C22×C4C2512yes—
1578C22×C4C2512yes—
1579C22×C4C2511yescharacteristic
1580C22×C4C2512yes—
1581C22×C4C2512yes—
1582C22×C4C2512yes—
1583C22×C4C2512yes—
1584C22×C4C2512yes—
1585C22×C4C2511yescharacteristic
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2512yes—
1589C22×C4C2512yes—
1590C22×C4C2512yes—
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2511yescharacteristic
1594C22×C4C2511yescharacteristic
1595C22×C4C2511yescharacteristic
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C4⋊C4—22no—
1603C4⋊C4—24no—
1604C4⋊C4—24no—
1605C4⋊C4—22no—
1606C4⋊C4—24no—
1607C4⋊C4—24no—
1608C4⋊C4—22no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—24no—
1612C4⋊C4—24no—
1613C4⋊C4—24no—
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—24no—
1619C4⋊C4—24no—
1620C4⋊C4—24no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—24no—
1626C4⋊C4—24no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—24no—
1630C4⋊C4—24no—
1631C4⋊C4—24no—
1632C4⋊C4—24no—
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
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—41no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—41no—
1692C4⋊C4—41no—
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—41no—
1709C4⋊C4—41no—
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⋊C42−1+418yes—
1719C22⋊C4—24no—
1720C22⋊C4—24no—
1721C22⋊C4—22no—
1722C22⋊C4—24no—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—24no—
1727C22⋊C4—24no—
1728C22⋊C4—24no—
1729C22⋊C4—24no—
1730C22⋊C4—24no—
1731C22⋊C4—42no—
1732C22⋊C4—41no—
1733C22⋊C4—41no—
1734C22⋊C4—41no—
1735C22⋊C4—42no—
1736C22⋊C4—41no—
1737C22⋊C4—42no—
1738C22⋊C4—42no—
1739C22⋊C4—42no—
1740C22⋊C4—41no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C42—24no—
1748C42—24no—
1749C42—24no—
1750C42—22no—
1751C42—24no—
1752C42—24no—
1753C42—24no—
1754C42—24no—
1755C42—24no—
1756C42—24no—
1757C42—24no—
1758C42—24no—
1759C42—24no—
1760C42—41no—
1761C42—42no—
1762C42—42no—
1763C42—42no—
1764C42—42no—
1765C42—42no—
1766C42—41no—
1767C42—42no—
1768C42—42no—
1769C42—42no—
1770C42—42no—
1771C42—42no—
1772C42—42no—
1773C42—42no—
1774C42—42no—
1775C42—42no—
1776C42—42no—
1777C42—42no—
1778C42—42no—
1779C42—42no—
1780C42—42no—
1781C42—42no—
1782C42—42no—
1783C42—42no—
1784C42—42no—
1785C42—42no—
1786C42—42no—
1787C23—21no—
1788C23—22no—
1789C23—22no—
1790C23—21no—
1791C23—21no—
1792C23—22no—
1793C23—21no—
1794C23—22no—
1795C23—21no—
1796C23C2×2−1+412yes—
1797C23C2611yescharacteristic
1798Q8—44no—
1799Q8—48no—
1800Q8—44no—
1801Q8—48no—
1802Q8—84no—
1803Q8—84no—
1804Q8—84no—
1805Q8—161no—
1806Q8—161no—
1807Q8—162no—
1808Q8—162no—
1809D4—82no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—21no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—44no—
1899C2×C4—44no—
1900C2×C4—48no—
1901C2×C4—82no—
1902C2×C4—82no—
1903C2×C4—84no—
1904C2×C4—161no—
1905C2×C4—161no—
1906C2×C4C2×H(5,𝔽2)14yes—
1907C2×C4C2×H(5,𝔽2)12yes—
1908C2×C4C2×2−1+414yes—
1909C2×C4C2×2−1+414yes—
1910C2×C4C2×2−1+414yes—
1911C2×C4C2×2−1+414yes—
1912C2×C4#58514yes—
1913C22—24no—
1914C22—22no—
1915C22—41no—
1916C22—41no—
1917C22—42no—
1918C22—41no—
1919C22—41no—
1920C22—42no—
1921C22—41no—
1922C22—42no—
1923C22C22×H(5,𝔽2)11yescharacteristic
1924C22C22×2−1+412yes—
1925C22C22×2−1+411yescharacteristic
1926C22C2×#58512yes—
1927C222−1+611yescharacteristic
1928C4—24no—
1929C4—24no—
1930C4—22no—
1931C4—24no—
1932C4—24no—
1933C4—24no—
1934C4—24no—
1935C4—42no—
1936C4—41no—
1937C4—42no—
1938C4—41no—
1939C4—41no—
1940C4—42no—
1941C4—42no—
1942C4—42no—
1943C4—42no—
1944C4—42no—
1945C4—42no—
1946C4—42no—
1947C4—42no—
1948C4—42no—
1949C4—42no—
1950C4—42no—
1951C4—42no—
1952C4—41no—
1953C4—42no—
1954C4—42no—
1955C4—42no—
1956C4—42no—
1957C4—42no—
1958C4—42no—
1959C4—42no—
1960C4—42no—
1961C2—42no—
1962C2—81no—
1963C2#6282211yescharacteristic
1964C2#6283712yes—
1965C2#6289311yescharacteristic
1966C2#6294912yes—
1967C2#6301611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58969C2semidirect
2. #58954C2semidirect
3. #58405C2semidirect
4. #56807C2semidirect
6. #51721C2semidirect
9. #51408C2semidirect
10. #51284C2semidirect
11. #51219C2semidirect
12. #51110C2semidirect
15. #50109C2semidirect
16. #45389C2semidirect
17. #45044C2semidirect
18. #44894C2semidirect
19. #44894C2semidirect
21. #44617C2semidirect
22. #44614C2semidirect
24. #44395C2semidirect
25. #44176C2semidirect
26. #42245C2semidirect
27. #42070C2semidirect
29. #41333C2semidirect
33. #35870C2semidirect
34. #35810C2semidirect
35. #35788C2semidirect

Maximal subgroups

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

subgroupindex
#589692
#589542
#584052
#568072
#548542
#517212
#516122
#514482
#514082
#512842
#512192
#511102
#507002
#501692
#501092
#453892
#450442
#448942
#448242
#446172
#446142
#444482
#443952
#441762
#422452
#420702
#416792
#413332
#413022
#359492
#358722
#358702
#358102
#357882