Finite Group Databasebeta

← #9634954

Subgroups — #9634954

Order 512.

4106 conjugacy classes of subgroups.

The subgroup lattice has 2045 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58529C212yesmaximal, complemented
2#58487C212yesmaximal, complemented
3#58157C212yesmaximal, complemented
4#57812C212yesmaximal, complemented
5#57518C212yesmaximal, complemented
6#57322C212yesmaximal, complemented
7#56561C212yesmaximal, complemented
8#55669C212yesmaximal, complemented
9#55636C212yesmaximal, complemented
10#55263C212yesmaximal, complemented
11#55186C212yesmaximal, complemented
12#54585C212yesmaximal, complemented
13#54545C212yesmaximal, complemented
14#54317C212yesmaximal, complemented
15#54166C212yesmaximal, complemented
16#54039C212yesmaximal, complemented
17#53642C211yesmaximal, characteristic, complemented
18#52950C212yesmaximal, complemented
19#52942C211yesmaximal, characteristic, complemented
20#52056C212yesmaximal, complemented
21#51685C212yesmaximal, complemented
22#51684C212yesmaximal, complemented
23#51678C212yesmaximal, complemented
24#50427C212yesmaximal, complemented
25#50329C211yesmaximal, characteristic, complemented
26#50169C211yesmaximal, characteristic, complemented
27#44677C212yesmaximal, complemented
28#44451C211yesmaximal, characteristic
29#42813C211yesmaximal, characteristic, complemented
30#42809C212yesmaximal, complemented
31#42369C212yesmaximal, complemented
32#41616C211yesmaximal, characteristic, complemented
33#41258C212yesmaximal, complemented
34#40964C212yesmaximal, complemented
35#40788C212yesmaximal, complemented
36C2×Q82C2211yescharacteristic, complemented
37C2×#556C2212yes—
38C2×#552C2211yescharacteristic
39C2×#544C2211yescharacteristic, complemented
40C2×#538C2211yescharacteristic
41#2843C2212yescomplemented
42#2841C2212yes—
43#2840C2211yescharacteristic
44#2839C2212yescomplemented
45#2838C2212yes—
46#2838C2212yescomplemented
47#2836C2212yes—
48#2836C2212yescomplemented
49#2835C2211yescharacteristic
50#2835C2212yescomplemented
51#2835C2211yescharacteristic, complemented
52#2833C2212yescomplemented
53#2832C2211yescharacteristic, complemented
54#2831C2212yes—
55#2830C2212yes—
56#2830C2212yes—
57#2827C2212yes—
58#2827C2212yes—
59#2827C2212yescomplemented
60#2826C2212yes—
61#2824C2212yes—
62#2824C2211yescharacteristic, complemented
63#2821C2212yes—
64#2821C2212yes—
65#2821C2212yescomplemented
66#2821C2212yescomplemented
67#2814C2212yes—
68#2810C2212yescomplemented
69#2807C2212yes—
70#2806C2212yescomplemented
71#2804C2212yescomplemented
72#2802C2212yescomplemented
73#2800C2212yes—
74#2799C2212yescomplemented
75#2798C2212yescomplemented
76#2797C2212yescomplemented
77#2796C2212yes—
78#2794C2212yescomplemented
79#2792C2212yescomplemented
80#2792C2212yescomplemented
81#2791C2212yescomplemented
82#2790C2212yes—
83#2790C2212yescomplemented
84#2787C2212yes—
85#2786C2212yes—
86#2785C2212yes—
87#2784C2212yes—
88#2784C2212yes—
89#2783C2212yes—
90#2780C2212yes—
91#2777C2212yes—
92#2777C2212yescomplemented
93#2777C2212yescomplemented
94#2775C2212yescomplemented
95#2774C2212yescomplemented
96#2774C2212yescomplemented
97#2772C2212yes—
98#2770C2212yes—
99#2769C2212yescomplemented
100#2768C2212yescomplemented
101#2767C2212yescomplemented
102#2767C2212yescomplemented
103#2766C2212yescomplemented
104#2764C2212yes—
105#2763C2212yes—
106#2762C2212yescomplemented
107#2762C2212yescomplemented
108#2761C2212yes—
109#2761C2212yescomplemented
110#2759C2212yes—
111#2758C2212yescomplemented
112#2758C2212yescomplemented
113#2757C2212yes—
114#2757C2212yes—
115#2757C2212yescomplemented
116#2756C2212yes—
117#2754C2212yes—
118#2754C2212yes—
119#2754C2212yes—
120#2754C2212yescomplemented
121#2751C2212yes—
122#2751C2212yes—
123#2751C2212yes—
124#2749C2212yes—
125#2747C2212yes—
126#2747C2212yes—
127#2746C2212yes—
128#2745C2212yes—
129#2745C2212yes—
130#2745C2212yescomplemented
131#2742C2212yes—
132#2741C2212yes—
133#2740C2212yes—
134#2740C2212yescomplemented
135#2737C2212yes—
136#2737C2212yes—
137#2737C2212yes—
138#2737C2212yescomplemented
139#2735C2212yes—
140#2734C2211yescharacteristic, complemented
141#2732C2212yes—
142#2731C2212yes—
143#2731C2212yes—
144#2730C2212yes—
145#2730C2212yes—
146#2729C2212yes—
147#2729C2212yes—
148#2728C2211yescharacteristic, complemented
149#2727C2212yes—
150#2726C2212yescomplemented
151#2724C2212yes—
152#2723C2212yes—
153#2723C2212yes—
154#2723C2212yes—
155#2722C2211yescharacteristic, complemented
156#2721C2212yes—
157#2721C2212yes—
158#2721C2212yescomplemented
159#2720C2212yes—
160#2720C2212yescomplemented
161#2719C2212yescomplemented
162#2718C2212yes—
163#2717C2212yes—
164#2717C2212yes—
165#2716C2212yes—
166#2716C2212yes—
167#2716C2212yes—
168#2716C2212yescomplemented
169#2716C2212yescomplemented
170#2716C2212yescomplemented
171#2716C2212yescomplemented
172#2714C2212yes—
173#2713C2212yescomplemented
174#2713C2212yescomplemented
175#2713C2212yescomplemented
176#2708C2212yes—
177#2705C2212yes—
178#2702C2212yes—
179#2698C2212yes—
180#2698C2212yescomplemented
181#2696C2212yes—
182#2694C2212yes—
183#2693C2211yescharacteristic, complemented
184#2692C2212yes—
185#2692C2212yescomplemented
186#2692C2212yescomplemented
187#2691C2212yes—
188#2689C2212yes—
189#2689C2212yes—
190#2687C2212yes—
191#2687C2212yes—
192#2686C2212yes—
193#2685C2212yes—
194#2684C2212yes—
195#2684C2211yescharacteristic
196#2684C2211yescharacteristic
197#2680C2212yes—
198#2677C2212yes—
199#2677C2212yes—
200#2677C2212yescomplemented
201#2677C2212yescomplemented
202#2674C2212yes—
203#2674C2212yes—
204#2674C2212yes—
205#2672C2212yes—
206#2672C2212yes—
207#2667C2212yes—
208#2667C2212yescomplemented
209#2666C2212yescomplemented
210#2665C2212yescomplemented
211#2663C2212yes—
212#2663C2212yescomplemented
213#2660C2211yescharacteristic, complemented
214#2654C2212yes—
215#2654C2212yes—
216#2653C2212yes—
217#2653C2212yes—
218#2652C2212yes—
219#2652C2212yes—
220#2652C2212yes—
221#2652C2212yescomplemented
222#2651C2212yescomplemented
223#2650C2212yes—
224#2647C2212yescomplemented
225#2646C2212yes—
226#2646C2212yescomplemented
227#2640C2212yes—
228#2638C2211yescharacteristic
229#2637C2212yes—
230#2637C2212yes—
231#2637C2212yescomplemented
232#2637C2212yescomplemented
233#2634C2212yescomplemented
234#2633C2212yes—
235#2625C2211yescharacteristic, complemented
236#2622C2212yes—
237#2621C2212yes—
238#2621C2212yes—
239#2621C2212yescomplemented
240#2612C2212yescomplemented
241#2607C2212yescomplemented
242#2606C2212yescomplemented
243#2604C2212yes—
244#2604C2212yes—
245#2604C2212yescomplemented
246#2599C2212yes—
247#2599C2212yes—
248#2599C2212yescomplemented
249#2599C2212yescomplemented
250#2598C2212yes—
251#2595C2212yes—
252#2594C2212yescomplemented
253#2593C2212yescomplemented
254#2592C2212yes—
255#2589C2212yes—
256#2588C2212yescomplemented
257#2587C2212yescomplemented
258#2586C2211yescharacteristic, complemented
259#2584C2211yescharacteristic, complemented
260#2579C2211yescharacteristic
261#2577C2212yes—
262#2576C2212yescomplemented
263#2574C2212yes—
264#2572C2212yes—
265#2570C2212yescomplemented
266#2569C2212yes—
267#2567C2212yescomplemented
268#2559C2212yes—
269#2559C2212yes—
270#2553C2212yes—
271#2553C2212yescomplemented
272#2549C2212yescomplemented
273#2547C2211yescharacteristic
274#2546C2212yescomplemented
275#2543C2211yescharacteristic
276#2539C2212yes—
277#2533C2212yescomplemented
278#2533C2212yescomplemented
279#2533C2212yescomplemented
280#2532C2212yes—
281#2531C2212yes—
282#2530C2212yes—
283#2530C2212yescomplemented
284#2530C2212yescomplemented
285#2530C2212yescomplemented
286#2529C2212yes—
287#2529C2212yescomplemented
288#2528C2212yescomplemented
289#2528C2212yescomplemented
290#2527C2212yes—
291#2527C2212yescomplemented
292#2524C2212yescomplemented
293#2524C2212yescomplemented
294#2523C2211yescharacteristic
295#2523C2212yes—
296#2523C2212yes—
297#2523C2212yescomplemented
298#2515C2212yes—
299#2515C2212yescomplemented
300#2512C2212yes—
301#2505C2212yes—
302#2505C2212yes—
303#2505C2212yescomplemented
304#2501C2211yescharacteristic
305#2496C2212yes—
306#2496C2212yes—
307#2495C2212yes—
308#2495C2212yescomplemented
309#2491C2212yes—
310#2490C2212yes—
311#2488C2212yes—
312#2488C2212yescomplemented
313#2484C2211yescharacteristic, complemented
314#2483C2211yescharacteristic
315#2481C2212yes—
316#2481C2212yescomplemented
317#2480C2212yes—
318#2480C2212yes—
319#2480C2212yes—
320#2479C2212yes—
321#2479C2212yescomplemented
322#2478C2212yescomplemented
323#2477C2212yes—
324#2477C2212yescomplemented
325#2476C2212yes—
326#2475C2212yes—
327#2475C2212yes—
328#2475C2212yescomplemented
329#2473C2212yes—
330#2472C2212yes—
331#2471C2212yes—
332#2470C2212yes—
333#2470C2212yes—
334#2469C2212yes—
335#2466C2212yes—
336#2458C2212yes—
337#2452C2212yes—
338#2452C2212yes—
339#2451C2212yescomplemented
340#2451C2212yescomplemented
341#2451C2212yescomplemented
342#2448C2212yes—
343#2448C2212yes—
344#2446C2212yescomplemented
345#2446C2212yescomplemented
346#2446C2212yescomplemented
347#2444C2212yes—
348#2440C2212yes—
349#2439C2212yes—
350#2439C2212yescomplemented
351#2437C2212yes—
352#2437C2212yes—
353#2425C2212yes—
354#2423C2212yescomplemented
355#2423C2212yescomplemented
356#2423C2212yescomplemented
357#2421C2212yes—
358#2418C2212yes—
359#2411C2212yes—
360#2399C2212yescomplemented
361#2398C2212yes—
362#2398C2211yescharacteristic
363C2×#397C2211yescharacteristic
364#2381C2212yescomplemented
365#2379C2211yescharacteristic
366#2378C2211yescharacteristic, complemented
367#2372C2211yescharacteristic
368#2372C2212yes—
369#2368C2212yes—
370#2368C2211yescharacteristic
371#2359C2212yes—
372#2359C2212yes—
373#2342C2212yes—
374#2329C2212yes—
375#2326C2212yes—
376#2321C2211yescharacteristic
377#2320C2212yescomplemented
378#2320C2211yescharacteristic, complemented
379Q82—44no—
380#556—48no—
381#552—44no—
382#544—44no—
383#538—44no—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2311yescharacteristic
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#125C2311yescharacteristic
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#124C2311yescharacteristic
410C2×#124C2311yescharacteristic
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#120C2311yescharacteristic
434C2×#120C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2311yescharacteristic
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2312yes—
454C22×C22⋊C4C2312yes—
455#401C2312yes—
456#401C2312yes—
457#401C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
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#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
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#398C2311yescharacteristic
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#398C2311yescharacteristic
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2311yescharacteristic
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2311yescharacteristic
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2311yescharacteristic
607#397C2311yescharacteristic
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#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
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#395C2311yescharacteristic
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#394C2311yescharacteristic
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#393C2311yescharacteristic
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#393C2311yescharacteristic
714#393C2312yes—
715#393C2312yes—
716#393C2311yescharacteristic
717#393C2312yes—
718#393C2312yes—
719#393C2312yes—
720#393C2312yes—
721#393C2312yes—
722#392C2312yes—
723#392C2311yescharacteristic
724#392C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2311yescharacteristic
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2311yescharacteristic
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2312yes—
751#391C2312yes—
752#391C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
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#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
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#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
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#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2311yescharacteristic
966#386C2311yescharacteristic
967#386C2311yescharacteristic
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#385C2312yes—
978#385C2311yescharacteristic
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2311yescharacteristic
991#385C2312yes—
992#385C2311yescharacteristic
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#384C2312yes—
1018#384C2312yes—
1019#384C2312yes—
1020#384C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#383C2312yes—
1024#383C2312yes—
1025#383C2312yes—
1026#383C2312yes—
1027#383C2312yes—
1028#383C2312yes—
1029#383C2312yes—
1030#383C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#381C2311yescharacteristic
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2311yescharacteristic
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#379C2311yescharacteristic
1065#379C2312yes—
1066#379C2312yes—
1067#379C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2311yescharacteristic
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095#376C2312yes—
1096#376C2311yescharacteristic
1097#376C2312yes—
1098#376C2312yes—
1099#376C2312yes—
1100C2×#95C2311yescharacteristic
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2411yescharacteristic
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2411yescharacteristic
1120C22×D4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2411yescharacteristic
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2411yescharacteristic
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2411yescharacteristic
1129C23×C4C2411yescharacteristic
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C4⋊Q8—28no—
1134C4⋊Q8—44no—
1135C4⋊Q8—44no—
1136C4⋊Q8—44no—
1137C4⋊Q8—42no—
1138C4⋊Q8—44no—
1139C4⋊Q8—44no—
1140C4⋊Q8—82no—
1141C4⋊Q8—82no—
1142#126—44no—
1143#126—44no—
1144#126—44no—
1145#126—44no—
1146#126—44no—
1147#126—44no—
1148#126—82no—
1149#126—82no—
1150#126—82no—
1151#125—44no—
1152#125—42no—
1153#125—44no—
1154#125—44no—
1155#124—28no—
1156#124—44no—
1157#124—44no—
1158#124—42no—
1159#124—42no—
1160#123—44no—
1161#123—44no—
1162#123—44no—
1163#123—44no—
1164#123—82no—
1165#123—82no—
1166C22⋊Q8—24no—
1167C22⋊Q8—24no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—42no—
1174C22⋊Q8—82no—
1175C22⋊Q8—82no—
1176C22⋊Q8—82no—
1177C22⋊Q8—82no—
1178C22⋊Q8—82no—
1179#121—42no—
1180#121—44no—
1181#121—82no—
1182#120—44no—
1183#120—42no—
1184C4×Q8—24no—
1185C4×Q8—28no—
1186C4×Q8—44no—
1187C4×Q8—42no—
1188C4×Q8—44no—
1189C4×Q8—44no—
1190C4×Q8—82no—
1191C4×D4—44no—
1192C4×D4—44no—
1193C4×D4—42no—
1194#117—44no—
1195#117—44no—
1196#117—44no—
1197#117—44no—
1198#117—42no—
1199C2×C4⋊C4—42no—
1200C2×C4⋊C4—42no—
1201C2×C4⋊C4C2411yescharacteristic
1202C2×C4⋊C4C2411yescharacteristic
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2411yescharacteristic
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
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⋊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×C22⋊C4—42no—
1293C2×C22⋊C4—44no—
1294C2×C22⋊C4—82no—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2411yescharacteristic
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2411yescharacteristic
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1334C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2411yescharacteristic
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2411yescharacteristic
1383C2×C42C2412yes—
1384C2×C42C2411yescharacteristic
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2411yescharacteristic
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2411yescharacteristic
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2411yescharacteristic
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2411yescharacteristic
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#95C2411yescharacteristic
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2411yescharacteristic
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—
1517C24—22no—
1518C24—41no—
1519C24—42no—
1520C24—42no—
1521C24—41no—
1522C24C2512yes—
1523C24C2511yescharacteristic
1524C24C2512yes—
1525C24C2511yescharacteristic
1526C2×Q8—24no—
1527C2×Q8—41no—
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—42no—
1537C2×Q8—42no—
1538C2×Q8—41no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—41no—
1543C2×Q8—42no—
1544C2×Q8—41no—
1545C2×Q8—41no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×Q8—42no—
1552C2×Q8H(5,𝔽2)14yes—
1553C2×D4—22no—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—42no—
1557C2×D4—41no—
1558C2×D4—41no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—42no—
1564C2×D4—41no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C22×C4—24no—
1574C22×C4—22no—
1575C22×C4—22no—
1576C22×C4—41no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—41no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—41no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2511yescharacteristic
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2511yescharacteristic
1621C22×C4C2512yes—
1622C22×C4C2511yescharacteristic
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2511yescharacteristic
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2511yescharacteristic
1635C4⋊C4—22no—
1636C4⋊C4—22no—
1637C4⋊C4—24no—
1638C4⋊C4—22no—
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—42no—
1649C4⋊C4—42no—
1650C4⋊C4—42no—
1651C4⋊C4—42no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
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—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—41no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—41no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—41no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—41no—
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—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C22⋊C4—24no—
1727C22⋊C4—24no—
1728C22⋊C4—22no—
1729C22⋊C4—24no—
1730C22⋊C4—24no—
1731C22⋊C4—24no—
1732C22⋊C4—24no—
1733C22⋊C4—24no—
1734C22⋊C4—24no—
1735C22⋊C4—24no—
1736C22⋊C4—24no—
1737C22⋊C4—42no—
1738C22⋊C4—42no—
1739C22⋊C4—42no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—42no—
1749C22⋊C4—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4—42no—
1756C22⋊C4—42no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—41no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—41no—
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—41no—
1791C22⋊C4—41no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—41no—
1798C22⋊C4—42no—
1799C42—24no—
1800C42—24no—
1801C42—24no—
1802C42—24no—
1803C42—22no—
1804C42—24no—
1805C42—24no—
1806C42—42no—
1807C42—42no—
1808C42—42no—
1809C42—42no—
1810C42—42no—
1811C42—42no—
1812C42—42no—
1813C42—42no—
1814C42—42no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—41no—
1823C42—42no—
1824C42—41no—
1825C42—42no—
1826C23—21no—
1827C23—21no—
1828C23—22no—
1829C23—22no—
1830C23—21no—
1831C23—22no—
1832C23—22no—
1833C23—22no—
1834C23—21no—
1835C23—22no—
1836C23—22no—
1837C23—21no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—84no—
1850C23—82no—
1851C23—84no—
1852C23—161no—
1853C23—161no—
1854C23#58512yes—
1855C23C2611yescharacteristic
1856Q8—44no—
1857Q8—44no—
1858Q8—84no—
1859Q8—84no—
1860Q8—84no—
1861Q8—161no—
1862Q8—162no—
1863Q8—161no—
1864Q8—162no—
1865Q8—161no—
1866D4—84no—
1867D4—84no—
1868D4—82no—
1869D4—162no—
1870D4—162no—
1871D4—161no—
1872D4—162no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—21no—
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—21no—
1887C2×C4—22no—
1888C2×C4—21no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—21no—
1893C2×C4—22no—
1894C2×C4—21no—
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—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—21no—
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—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—44no—
1961C2×C4—82no—
1962C2×C4—82no—
1963C2×C4—84no—
1964C2×C4—84no—
1965C2×C4—84no—
1966C2×C4—162no—
1967C2×C4—162no—
1968C2×C4—161no—
1969C2×C4—162no—
1970C2×C4—161no—
1971C2×C4—162no—
1972C2×C4C2×H(5,𝔽2)14yes—
1973C2×C4C2×H(5,𝔽2)12yes—
1974C22—24no—
1975C22—22no—
1976C22—42no—
1977C22—41no—
1978C22—41no—
1979C22—42no—
1980C22—42no—
1981C22—42no—
1982C22—42no—
1983C22—42no—
1984C22—41no—
1985C22—42no—
1986C22—42no—
1987C22—41no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—41no—
1998C22—164no—
1999C22C22×H(5,𝔽2)11yescharacteristic
2000C22C2×#58511yescharacteristic
2001C22H(7,𝔽2)11yescharacteristic
2002C222−1+612yes—
2003C222−1+612yes—
2004C4—22no—
2005C4—24no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—42no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—41no—
2017C4—42no—
2018C4—41no—
2019C4—41no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—41no—
2034C4—42no—
2035C2—42no—
2036C2—82no—
2037C2—81no—
2038C2—82no—
2039C2#6287111yescharacteristic
2040C2#6287312yes—
2041C2#6289911yescharacteristic
2042C2#6297812yes—
2043C2#6304811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#44451C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58529C2semidirect
2. #58487C2semidirect
3. #58157C2semidirect
4. #57812C2semidirect
5. #57518C2semidirect
6. #57322C2semidirect
7. #56561C2semidirect
8. #55669C2semidirect
9. #55636C2semidirect
10. #55263C2semidirect
11. #55186C2semidirect
12. #54585C2semidirect
13. #54545C2semidirect
14. #54317C2semidirect
15. #54166C2semidirect
16. #54039C2semidirect
17. #53642C2semidirect
18. #52950C2semidirect
19. #52942C2semidirect
20. #52056C2semidirect
21. #51685C2semidirect
22. #51684C2semidirect
23. #51678C2semidirect
24. #50427C2semidirect
25. #50329C2semidirect
26. #50169C2semidirect
27. #44677C2semidirect
29. #42813C2semidirect
30. #42809C2semidirect
31. #42369C2semidirect
32. #41616C2semidirect
33. #41258C2semidirect
34. #40964C2semidirect
35. #40788C2semidirect
36. C2×Q82C22semidirect
39. C2×#544C22semidirect
41. #2843C22semidirect
44. #2839C22semidirect
46. #2838C22semidirect
48. #2836C22semidirect
50. #2835C22semidirect
51. #2835C22semidirect
52. #2833C22semidirect
53. #2832C22semidirect
59. #2827C22semidirect
62. #2824C22semidirect
65. #2821C22semidirect
66. #2821C22semidirect
68. #2810C22semidirect
70. #2806C22semidirect
71. #2804C22semidirect
72. #2802C22semidirect
74. #2799C22semidirect
75. #2798C22semidirect
76. #2797C22semidirect
78. #2794C22semidirect
79. #2792C22semidirect
80. #2792C22semidirect
81. #2791C22semidirect
83. #2790C22semidirect
92. #2777C22semidirect
93. #2777C22semidirect
94. #2775C22semidirect
95. #2774C22semidirect
96. #2774C22semidirect
99. #2769C22semidirect
100. #2768C22semidirect
101. #2767C22semidirect
102. #2767C22semidirect
103. #2766C22semidirect
106. #2762C22semidirect
107. #2762C22semidirect
109. #2761C22semidirect
111. #2758C22semidirect
112. #2758C22semidirect
115. #2757C22semidirect
120. #2754C22semidirect
130. #2745C22semidirect
134. #2740C22semidirect
138. #2737C22semidirect
140. #2734C22semidirect
148. #2728C22semidirect
150. #2726C22semidirect
155. #2722C22semidirect
158. #2721C22semidirect
160. #2720C22semidirect
161. #2719C22semidirect
168. #2716C22semidirect
169. #2716C22semidirect
170. #2716C22semidirect
171. #2716C22semidirect
173. #2713C22semidirect
174. #2713C22semidirect
175. #2713C22semidirect
180. #2698C22semidirect
183. #2693C22semidirect
185. #2692C22semidirect
186. #2692C22semidirect
200. #2677C22semidirect
201. #2677C22semidirect
208. #2667C22semidirect
209. #2666C22semidirect
210. #2665C22semidirect
212. #2663C22semidirect
213. #2660C22semidirect
221. #2652C22semidirect
222. #2651C22semidirect
224. #2647C22semidirect
226. #2646C22semidirect
231. #2637C22semidirect
232. #2637C22semidirect
233. #2634C22semidirect
235. #2625C22semidirect
239. #2621C22semidirect
240. #2612C22semidirect
241. #2607C22semidirect
242. #2606C22semidirect
245. #2604C22semidirect
248. #2599C22semidirect
249. #2599C22semidirect
252. #2594C22semidirect
253. #2593C22semidirect
256. #2588C22semidirect
257. #2587C22semidirect
258. #2586C22semidirect
259. #2584C22semidirect
262. #2576C22semidirect
265. #2570C22semidirect
267. #2567C22semidirect
271. #2553C22semidirect
272. #2549C22semidirect
274. #2546C22semidirect
277. #2533C22semidirect
278. #2533C22semidirect
279. #2533C22semidirect
283. #2530C22semidirect
284. #2530C22semidirect
285. #2530C22semidirect
287. #2529C22semidirect
288. #2528C22semidirect
289. #2528C22semidirect
291. #2527C22semidirect
292. #2524C22semidirect
293. #2524C22semidirect
297. #2523C22semidirect
299. #2515C22semidirect
303. #2505C22semidirect
308. #2495C22semidirect
312. #2488C22semidirect
313. #2484C22semidirect
316. #2481C22semidirect
321. #2479C22semidirect
322. #2478C22semidirect
324. #2477C22semidirect
328. #2475C22semidirect
339. #2451C22semidirect
340. #2451C22semidirect
341. #2451C22semidirect
344. #2446C22semidirect
345. #2446C22semidirect
346. #2446C22semidirect
350. #2439C22semidirect
354. #2423C22semidirect
355. #2423C22semidirect
356. #2423C22semidirect
360. #2399C22semidirect
364. #2381C22semidirect
366. #2378C22semidirect
377. #2320C22semidirect
378. #2320C22semidirect

Maximal subgroups

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

subgroupindex
#585292
#584872
#581572
#578122
#575182
#573222
#565612
#556692
#556362
#552632
#551862
#545852
#545452
#543172
#541662
#540392
#536422
#529502
#529422
#520562
#516852
#516842
#516782
#504272
#503292
#501692
#446772
#444512
#428132
#428092
#423692
#416162
#412582
#409642
#407882