Finite Group Databasebeta

← #8359838

Subgroups — #8359838

Order 512.

4356 conjugacy classes of subgroups.

The subgroup lattice has 2054 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59912C212yesmaximal, complemented
2#58537C212yesmaximal, complemented
3#58469C212yesmaximal, complemented
4#55364C212yesmaximal, complemented
5#55232C212yesmaximal, complemented
6#55175C212yesmaximal, complemented
7#55085C212yesmaximal, complemented
8#54979C212yesmaximal, complemented
9#54228C212yesmaximal, complemented
10#52754C211yesmaximal, characteristic, complemented
11#52431C211yesmaximal, characteristic, complemented
12#49931C212yesmaximal, complemented
13#49913C212yesmaximal, complemented
14#49877C212yesmaximal, complemented
15#49871C212yesmaximal, complemented
16#45735C212yesmaximal, complemented
17#43621C211yesmaximal, characteristic, complemented
18#43490C212yesmaximal
19#43126C211yesmaximal, characteristic, complemented
20#43051C212yesmaximal, complemented
21#42628C212yesmaximal, complemented
22#42623C212yesmaximal, complemented
23#42132C212yesmaximal, complemented
24#41904C212yesmaximal, complemented
25#41471C212yesmaximal, complemented
26#40615C212yesmaximal, complemented
27#40511C212yesmaximal, complemented
28#38575C212yesmaximal, complemented
29#38447C212yesmaximal, complemented
30#38064C212yesmaximal, complemented
31#36716C211yesmaximal, characteristic
32#36341C212yesmaximal, complemented
33#35794C212yesmaximal, complemented
34#35391C211yesmaximal, characteristic, complemented
35C2×#2625C211yesmaximal, characteristic, complemented
36C2×#551C2212yes—
37C2×#543C2211yescharacteristic
38C2×#538C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C22×#117C2211yescharacteristic
41#2855C2212yes—
42#2853C2212yes—
43#2849C2212yes—
44#2845C2212yescomplemented
45#2843C2211yescharacteristic, complemented
46#2841C2212yescomplemented
47#2839C2212yescomplemented
48#2839C2212yescomplemented
49#2839C2212yescomplemented
50#2836C2212yescomplemented
51#2834C2212yescomplemented
52#2833C2212yescomplemented
53#2833C2211yescharacteristic, complemented
54#2833C2212yescomplemented
55#2831C2212yescomplemented
56#2831C2212yescomplemented
57#2831C2212yescomplemented
58#2830C2211yescharacteristic, complemented
59#2822C2211yescharacteristic, complemented
60#2817C2212yes—
61#2814C2212yes—
62#2806C2212yescomplemented
63#2806C2212yescomplemented
64#2806C2212yescomplemented
65#2805C2212yescomplemented
66#2802C2212yescomplemented
67#2802C2212yescomplemented
68#2802C2212yescomplemented
69#2801C2212yescomplemented
70#2799C2211yescharacteristic, complemented
71#2799C2212yescomplemented
72#2799C2212yescomplemented
73#2799C2212yescomplemented
74#2794C2211yescharacteristic, complemented
75#2793C2212yescomplemented
76#2792C2212yescomplemented
77#2792C2212yescomplemented
78#2792C2212yescomplemented
79#2792C2211yescharacteristic, complemented
80#2791C2212yescomplemented
81#2791C2212yescomplemented
82#2791C2212yescomplemented
83#2790C2212yescomplemented
84#2790C2212yescomplemented
85#2790C2212yescomplemented
86#2789C2211yescharacteristic, complemented
87#2789C2212yescomplemented
88#2788C2212yescomplemented
89#2784C2211yescharacteristic, complemented
90#2783C2212yescomplemented
91#2777C2212yescomplemented
92#2776C2212yescomplemented
93#2775C2212yescomplemented
94#2774C2212yescomplemented
95#2774C2212yescomplemented
96#2774C2212yescomplemented
97#2773C2212yescomplemented
98#2772C2212yescomplemented
99#2772C2212yescomplemented
100#2771C2212yes—
101#2770C2212yes—
102#2770C2212yes—
103#2770C2212yescomplemented
104#2769C2211yescharacteristic, complemented
105#2768C2212yescomplemented
106#2767C2212yescomplemented
107#2766C2212yescomplemented
108#2766C2212yescomplemented
109#2765C2212yes—
110#2764C2212yescomplemented
111#2762C2212yescomplemented
112#2759C2212yescomplemented
113#2759C2212yescomplemented
114#2758C2212yescomplemented
115#2758C2212yescomplemented
116#2755C2212yescomplemented
117#2747C2212yes—
118#2745C2212yes—
119#2744C2212yes—
120#2744C2212yescomplemented
121#2742C2212yescomplemented
122#2739C2212yes—
123#2739C2212yes—
124#2738C2212yes—
125#2738C2212yes—
126#2734C2212yescomplemented
127#2734C2211yescharacteristic, complemented
128#2729C2212yescomplemented
129#2729C2212yescomplemented
130#2729C2212yescomplemented
131#2726C2212yescomplemented
132#2726C2212yescomplemented
133#2724C2212yes—
134#2724C2211yescharacteristic, complemented
135#2722C2212yes—
136#2717C2212yes—
137#2716C2212yescomplemented
138#2713C2212yescomplemented
139#2713C2212yescomplemented
140#2708C2212yes—
141#2707C2212yes—
142#2707C2212yescomplemented
143#2702C2212yescomplemented
144#2700C2212yes—
145#2700C2212yes—
146#2700C2212yes—
147#2698C2212yes—
148#2698C2212yes—
149#2698C2212yes—
150#2698C2212yes—
151#2698C2212yes—
152#2695C2212yes—
153#2695C2212yes—
154#2694C2212yes—
155#2690C2212yes—
156#2690C2212yescomplemented
157#2689C2212yes—
158#2689C2212yes—
159#2689C2212yescomplemented
160#2687C2212yes—
161#2687C2212yes—
162#2686C2212yes—
163#2681C2212yes—
164#2681C2212yes—
165#2680C2212yes—
166#2680C2212yes—
167#2680C2212yes—
168#2674C2212yes—
169#2674C2212yes—
170#2666C2212yescomplemented
171#2666C2212yescomplemented
172#2666C2212yescomplemented
173#2666C2212yescomplemented
174#2663C2212yes—
175#2663C2212yescomplemented
176#2655C2212yescomplemented
177#2655C2212yescomplemented
178#2653C2212yes—
179#2652C2212yes—
180#2652C2212yescomplemented
181#2650C2212yescomplemented
182#2647C2212yescomplemented
183#2646C2212yes—
184#2646C2212yescomplemented
185#2643C2212yes—
186#2638C2212yes—
187#2629C2212yescomplemented
188#2625C2212yes—
189#2625C2212yes—
190#2625C2212yes—
191#2625C2212yes—
192#2625C2212yes—
193#2625C2212yes—
194#2625C2212yes—
195#2625C2212yes—
196#2625C2212yes—
197#2622C2212yes—
198#2621C2212yes—
199#2612C2211yescharacteristic, complemented
200#2606C2212yescomplemented
201#2606C2212yescomplemented
202#2599C2212yes—
203#2595C2212yes—
204#2593C2211yescharacteristic, complemented
205#2591C2211yescharacteristic
206#2589C2212yescomplemented
207#2588C2212yescomplemented
208#2588C2212yescomplemented
209#2586C2212yescomplemented
210#2586C2211yescharacteristic, complemented
211#2583C2211yescharacteristic
212#2583C2211yescharacteristic
213#2583C2212yes—
214#2583C2211yescharacteristic
215#2583C2212yes—
216#2582C2211yescharacteristic, complemented
217#2579C2212yes—
218#2579C2212yes—
219#2578C2212yes—
220#2577C2212yes—
221#2577C2212yes—
222#2577C2212yes—
223#2574C2212yescomplemented
224#2570C2212yescomplemented
225#2569C2212yes—
226#2556C2212yescomplemented
227#2553C2212yes—
228#2550C2212yescomplemented
229#2550C2212yescomplemented
230#2550C2212yescomplemented
231#2549C2212yes—
232#2549C2212yes—
233#2549C2212yes—
234#2549C2212yes—
235#2549C2212yes—
236#2549C2212yescomplemented
237#2547C2212yes—
238#2531C2212yes—
239#2530C2212yes—
240#2527C2212yes—
241#2527C2212yescomplemented
242#2526C2212yescomplemented
243#2525C2212yescomplemented
244#2523C2212yes—
245#2520C2212yescomplemented
246#2518C2212yes—
247#2517C2212yes—
248#2515C2212yes—
249#2511C2212yescomplemented
250#2510C2212yes—
251#2509C2212yescomplemented
252#2508C2212yescomplemented
253#2507C2212yescomplemented
254#2507C2212yescomplemented
255#2505C2212yes—
256#2504C2211yescharacteristic
257#2502C2211yescharacteristic
258#2502C2212yes—
259#2499C2212yes—
260#2498C2212yes—
261#2496C2212yes—
262#2495C2212yescomplemented
263#2494C2212yes—
264#2494C2212yes—
265#2493C2212yes—
266#2493C2212yes—
267#2493C2212yes—
268#2493C2212yes—
269#2492C2212yescomplemented
270#2489C2212yes—
271#2488C2212yes—
272#2488C2212yes—
273#2488C2212yes—
274#2484C2212yes—
275#2483C2212yes—
276#2481C2212yes—
277#2481C2212yes—
278#2478C2212yes—
279#2478C2212yes—
280#2478C2212yes—
281#2478C2212yes—
282#2478C2212yes—
283#2477C2212yes—
284#2475C2212yes—
285#2474C2212yes—
286#2474C2212yes—
287#2474C2212yes—
288#2473C2212yes—
289#2473C2212yes—
290#2473C2212yes—
291#2473C2212yes—
292#2473C2212yes—
293#2470C2212yes—
294#2470C2212yes—
295#2470C2212yescomplemented
296#2465C2212yescomplemented
297#2460C2212yes—
298#2451C2212yescomplemented
299#2450C2212yes—
300#2450C2212yes—
301#2449C2212yes—
302#2449C2212yes—
303#2443C2212yes—
304#2442C2212yes—
305#2440C2212yes—
306#2440C2212yes—
307#2440C2212yes—
308#2440C2212yes—
309#2440C2212yes—
310#2440C2212yes—
311#2438C2212yes—
312#2438C2212yes—
313#2438C2212yes—
314#2438C2212yes—
315#2438C2212yes—
316#2438C2212yes—
317#2438C2212yes—
318#2438C2212yescomplemented
319#2437C2212yes—
320#2434C2211yescharacteristic
321#2434C2211yescharacteristic
322#2425C2212yes—
323#2425C2212yes—
324#2422C2212yes—
325#2421C2212yes—
326#2419C2212yes—
327#2419C2212yes—
328#2419C2212yes—
329#2417C2212yes—
330#2415C2212yes—
331#2413C2212yes—
332#2413C2212yes—
333#2413C2212yes—
334#2412C2212yes—
335#2412C2212yes—
336#2409C2212yes—
337#2401C2212yes—
338#2395C2212yes—
339C2×#400C2211yescharacteristic
340C2×#400C2211yescharacteristic
341C2×#398C2211yescharacteristic
342C2×#398C2211yescharacteristic
343C2×#397C2212yes—
344C2×#397C2212yes—
345#2381C2212yescomplemented
346#2378C2212yescomplemented
347#2369C2212yescomplemented
348#2368C2212yes—
349#2368C2212yescomplemented
350#2360C2212yes—
351#2359C2212yes—
352#2359C2212yes—
353#2359C2212yes—
354#2359C2212yes—
355#2358C2212yes—
356#2352C2212yes—
357#2349C2212yes—
358#2344C2212yes—
359#2344C2212yes—
360#2343C2212yes—
361#2343C2212yes—
362#2342C2212yes—
363#2342C2212yes—
364#2334C2212yescomplemented
365#2330C2212yescomplemented
366#2330C2212yescomplemented
367#2329C2212yes—
368#2323C2212yescomplemented
369#2318C2212yes—
370#2315C2212yes—
371#2312C2211yescharacteristic
372C4×#123C2212yes—
373#2296C2212yes—
374C2×#391C2212yes—
375C2×#389C2212yes—
376C2×#385C2212yes—
377C2×#380C2211yescharacteristic
378#2273C2211yescharacteristic
379C23×Q8C2311yescharacteristic
380C24×C4C2311yescharacteristic
381#551—48no—
382#543—44no—
383#538—44no—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#124C2312yes—
397C2×#124C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×C22⋊Q8—44no—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#120C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×#117—44no—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2312yes—
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2312yes—
463C22×C42C2312yes—
464#401C2312yes—
465#401C2312yes—
466#401C2312yes—
467#401C2312yes—
468#401C2312yes—
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#400C2311yescharacteristic
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2311yescharacteristic
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#400C2311yescharacteristic
512#400C2312yes—
513#400C2312yes—
514#400C2311yescharacteristic
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#398C2311yescharacteristic
528#398C2312yes—
529#398C2312yes—
530#398C2311yescharacteristic
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#398C2311yescharacteristic
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2311yescharacteristic
559#398C2311yescharacteristic
560#398C2311yescharacteristic
561#398C2312yes—
562#398C2312yes—
563#398C2311yescharacteristic
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#398C2311yescharacteristic
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2311yescharacteristic
664#395C2311yescharacteristic
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2311yescharacteristic
673#395C2311yescharacteristic
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
680#395C2312yes—
681#395C2312yes—
682#395C2312yes—
683#395C2312yes—
684#395C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2311yescharacteristic
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2311yescharacteristic
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#390C2311yescharacteristic
739#390C2311yescharacteristic
740#390C2312yes—
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#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#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#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
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#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#384C2312yes—
995#384C2311yescharacteristic
996#384C2312yes—
997#384C2312yes—
998#384C2311yescharacteristic
999#384C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#382C2311yescharacteristic
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2311yescharacteristic
1016#382C2312yes—
1017#382C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#379C2312yes—
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×C22⋊C4C2311yescharacteristic
1070C4×C22⋊C4C2311yescharacteristic
1071C4×C22⋊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⋊C4C2311yescharacteristic
1081C4×C22⋊C4C2311yescharacteristic
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090#376C2312yes—
1091#376C2312yes—
1092C2×#95C2312yes—
1093C2×#95C2311yescharacteristic
1094C2×#95C2311yescharacteristic
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8—42no—
1105C22×Q8—44no—
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C23×C4—24no—
1119C23×C4—44no—
1120C23×C4C2412yes—
1121C23×C4C2411yescharacteristic
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2411yescharacteristic
1125C23×C4C2411yescharacteristic
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2412yes—
1132C23×C4C2411yescharacteristic
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C4⋊Q8—44no—
1140C4⋊Q8—44no—
1141C4⋊Q8—82no—
1142C4⋊Q8—82no—
1143#126—44no—
1144#126—44no—
1145#126—44no—
1146#126—44no—
1147#125—44no—
1148#125—44no—
1149#125—82no—
1150#125—82no—
1151#124—44no—
1152#124—44no—
1153#123—28no—
1154#123—44no—
1155#123—44no—
1156#123—44no—
1157#123—44no—
1158#123—44no—
1159#123—44no—
1160#123—82no—
1161#123—82no—
1162C22⋊Q8—28no—
1163C22⋊Q8—44no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—42no—
1168C22⋊Q8—42no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—42no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—82no—
1181C22⋊Q8—82no—
1182#121—44no—
1183#121—42no—
1184#120—28no—
1185C4×Q8—82no—
1186C4×D4—28no—
1187C4×D4—44no—
1188C4×D4—44no—
1189C4×D4—44no—
1190C4×D4—82no—
1191#117—28no—
1192#117—44no—
1193#117—44no—
1194#117—44no—
1195#117—44no—
1196#117—44no—
1197#117—44no—
1198#117—82no—
1199#117—82no—
1200C2×C4⋊C4—44no—
1201C2×C4⋊C4—44no—
1202C2×C4⋊C4—44no—
1203C2×C4⋊C4—42no—
1204C2×C4⋊C4—42no—
1205C2×C4⋊C4—42no—
1206C2×C4⋊C4—42no—
1207C2×C4⋊C4—42no—
1208C2×C4⋊C4—82no—
1209C2×C4⋊C4—82no—
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⋊C4C2411yescharacteristic
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2411yescharacteristic
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2411yescharacteristic
1231C2×C4⋊C4C2411yescharacteristic
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2411yescharacteristic
1235C2×C4⋊C4C2411yescharacteristic
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—28no—
1314C2×C22⋊C4—24no—
1315C2×C22⋊C4—24no—
1316C2×C22⋊C4—28no—
1317C2×C22⋊C4—28no—
1318C2×C22⋊C4—82no—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C42—44no—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2411yescharacteristic
1390C2×C42C2411yescharacteristic
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2411yescharacteristic
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2411yescharacteristic
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2411yescharacteristic
1410#95C2412yes—
1411#95C2411yescharacteristic
1412#95C2411yescharacteristic
1413#95C2412yes—
1414#95C2411yescharacteristic
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#95C2411yescharacteristic
1450#95C2411yescharacteristic
1451#95C2411yescharacteristic
1452#95C2411yescharacteristic
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—
1527#95C2412yes—
1528C24—24no—
1529C24—41no—
1530C24—42no—
1531C24—41no—
1532C24H(5,𝔽2)14yes—
1533C24C2512yes—
1534C24C2512yes—
1535C24C2511yescharacteristic
1536C2×Q8—24no—
1537C2×Q8—24no—
1538C2×Q8—24no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—41no—
1546C2×Q8—42no—
1547C2×Q8—41no—
1548C2×Q8—42no—
1549C2×Q8—41no—
1550C2×Q8—42no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×Q8—41no—
1555C2×Q8—42no—
1556C2×Q8—41no—
1557C2×Q8—42no—
1558C2×Q8—88no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—24no—
1562C2×D4—24no—
1563C2×D4—24no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—41no—
1569C2×D4—41no—
1570C2×D4—41no—
1571C22×C4—22no—
1572C22×C4—24no—
1573C22×C4—24no—
1574C22×C4—22no—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—24no—
1578C22×C4—24no—
1579C22×C4—24no—
1580C22×C4—22no—
1581C22×C4—22no—
1582C22×C4—22no—
1583C22×C4—22no—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—24no—
1588C22×C4—24no—
1589C22×C4—24no—
1590C22×C4—24no—
1591C22×C4—24no—
1592C22×C4—24no—
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×C4—42no—
1605C22×C4—41no—
1606C22×C4—41no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—41no—
1613C22×C4—42no—
1614C22×C4—41no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—416no—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2511yescharacteristic
1638C22×C4C2511yescharacteristic
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2511yescharacteristic
1645C22×C4C2511yescharacteristic
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2511yescharacteristic
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2511yescharacteristic
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—41no—
1680C4⋊C4—42no—
1681C4⋊C4—41no—
1682C4⋊C4—42no—
1683C4⋊C4—41no—
1684C4⋊C4—41no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—41no—
1690C4⋊C4—41no—
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—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—41no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—41no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—41no—
1735C4⋊C4—41no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
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—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
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—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C42−1+418yes—
1813C42—24no—
1814C42—24no—
1815C42—24no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—41no—
1823C42—41no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—41no—
1834C42—42no—
1835C42—42no—
1836C42—41no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C23—22no—
1841C23—21no—
1842C23—21no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—28no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23—22no—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—44no—
1858C23—44no—
1859C23—84no—
1860C23—84no—
1861C23C2×H(5,𝔽2)14yes—
1862C23C2×H(5,𝔽2)12yes—
1863C23C2×2−1+414yes—
1864C23C2611yescharacteristic
1865Q8—84no—
1866Q8—84no—
1867Q8—84no—
1868Q8—161no—
1869Q8—161no—
1870Q8—162no—
1871Q8—162no—
1872Q8—161no—
1873D4—48no—
1874D4—84no—
1875D4—84no—
1876D4—161no—
1877C2×C4—28no—
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—22no—
1893C2×C4—22no—
1894C2×C4—21no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—21no—
1898C2×C4—22no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—21no—
1902C2×C4—21no—
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—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—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—21no—
1951C2×C4—21no—
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—21no—
1962C2×C4—21no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—48no—
1968C2×C4—48no—
1969C2×C4—44no—
1970C2×C4—48no—
1971C2×C4—84no—
1972C2×C4—84no—
1973C2×C4—84no—
1974C2×C4—84no—
1975C2×C4—84no—
1976C2×C4—84no—
1977C2×C4—82no—
1978C2×C4—82no—
1979C2×C4—84no—
1980C2×C4—84no—
1981C2×C4—82no—
1982C2×C4—82no—
1983C2×C4—162no—
1984C2×C4—162no—
1985C2×C4C2×2−1+414yes—
1986C2×C4C2×2−1+414yes—
1987C2×C4#58514yes—
1988C22—22no—
1989C22—22no—
1990C22—24no—
1991C22—24no—
1992C22—24no—
1993C22—24no—
1994C22—24no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—42no—
2003C22—42no—
2004C22—42no—
2005C22—42no—
2006C22—88no—
2007C22#354414yes—
2008C22C22×H(5,𝔽2)11yescharacteristic
2009C22C22×2−1+412yes—
2010C22C2×#58512yes—
2011C22H(7,𝔽2)11yescharacteristic
2012C222−1+611yescharacteristic
2013C4—24no—
2014C4—24no—
2015C4—24no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C4—41no—
2020C4—41no—
2021C4—42no—
2022C4—41no—
2023C4—41no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—41no—
2030C4—42no—
2031C4—41no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C2—24no—
2046C2—44no—
2047C2—82no—
2048C2C2×#354411yescharacteristic
2049C2#6282011yescharacteristic
2050C2#6286611yescharacteristic
2051C2#6295012yes—
2052C2#6295112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#538C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59912C2semidirect
2. #58537C2semidirect
3. #58469C2semidirect
4. #55364C2semidirect
5. #55232C2semidirect
6. #55175C2semidirect
7. #55085C2semidirect
8. #54979C2semidirect
9. #54228C2semidirect
10. #52754C2semidirect
11. #52431C2semidirect
12. #49931C2semidirect
13. #49913C2semidirect
14. #49877C2semidirect
15. #49871C2semidirect
16. #45735C2semidirect
17. #43621C2semidirect
19. #43126C2semidirect
20. #43051C2semidirect
21. #42628C2semidirect
22. #42623C2semidirect
23. #42132C2semidirect
24. #41904C2semidirect
25. #41471C2semidirect
26. #40615C2semidirect
27. #40511C2semidirect
28. #38575C2semidirect
29. #38447C2semidirect
30. #38064C2semidirect
32. #36341C2semidirect
33. #35794C2semidirect
34. #35391C2semidirect
35. C2×#2625C2semidirect
44. #2845C22semidirect
45. #2843C22semidirect
46. #2841C22semidirect
47. #2839C22semidirect
48. #2839C22semidirect
49. #2839C22semidirect
50. #2836C22semidirect
51. #2834C22semidirect
52. #2833C22semidirect
53. #2833C22semidirect
54. #2833C22semidirect
55. #2831C22semidirect
56. #2831C22semidirect
57. #2831C22semidirect
58. #2830C22semidirect
59. #2822C22semidirect
62. #2806C22semidirect
63. #2806C22semidirect
64. #2806C22semidirect
65. #2805C22semidirect
66. #2802C22semidirect
67. #2802C22semidirect
68. #2802C22semidirect
69. #2801C22semidirect
70. #2799C22semidirect
71. #2799C22semidirect
72. #2799C22semidirect
73. #2799C22semidirect
74. #2794C22semidirect
75. #2793C22semidirect
76. #2792C22semidirect
77. #2792C22semidirect
78. #2792C22semidirect
79. #2792C22semidirect
80. #2791C22semidirect
81. #2791C22semidirect
82. #2791C22semidirect
83. #2790C22semidirect
84. #2790C22semidirect
85. #2790C22semidirect
86. #2789C22semidirect
87. #2789C22semidirect
88. #2788C22semidirect
89. #2784C22semidirect
90. #2783C22semidirect
91. #2777C22semidirect
92. #2776C22semidirect
93. #2775C22semidirect
94. #2774C22semidirect
95. #2774C22semidirect
96. #2774C22semidirect
97. #2773C22semidirect
98. #2772C22semidirect
99. #2772C22semidirect
103. #2770C22semidirect
104. #2769C22semidirect
105. #2768C22semidirect
106. #2767C22semidirect
107. #2766C22semidirect
108. #2766C22semidirect
110. #2764C22semidirect
111. #2762C22semidirect
112. #2759C22semidirect
113. #2759C22semidirect
114. #2758C22semidirect
115. #2758C22semidirect
116. #2755C22semidirect
120. #2744C22semidirect
121. #2742C22semidirect
126. #2734C22semidirect
127. #2734C22semidirect
128. #2729C22semidirect
129. #2729C22semidirect
130. #2729C22semidirect
131. #2726C22semidirect
132. #2726C22semidirect
134. #2724C22semidirect
137. #2716C22semidirect
138. #2713C22semidirect
139. #2713C22semidirect
142. #2707C22semidirect
143. #2702C22semidirect
156. #2690C22semidirect
159. #2689C22semidirect
170. #2666C22semidirect
171. #2666C22semidirect
172. #2666C22semidirect
173. #2666C22semidirect
175. #2663C22semidirect
176. #2655C22semidirect
177. #2655C22semidirect
180. #2652C22semidirect
181. #2650C22semidirect
182. #2647C22semidirect
184. #2646C22semidirect
187. #2629C22semidirect
199. #2612C22semidirect
200. #2606C22semidirect
201. #2606C22semidirect
204. #2593C22semidirect
206. #2589C22semidirect
207. #2588C22semidirect
208. #2588C22semidirect
209. #2586C22semidirect
210. #2586C22semidirect
216. #2582C22semidirect
223. #2574C22semidirect
224. #2570C22semidirect
226. #2556C22semidirect
228. #2550C22semidirect
229. #2550C22semidirect
230. #2550C22semidirect
236. #2549C22semidirect
241. #2527C22semidirect
242. #2526C22semidirect
243. #2525C22semidirect
245. #2520C22semidirect
249. #2511C22semidirect
251. #2509C22semidirect
252. #2508C22semidirect
253. #2507C22semidirect
254. #2507C22semidirect
262. #2495C22semidirect
269. #2492C22semidirect
295. #2470C22semidirect
296. #2465C22semidirect
298. #2451C22semidirect
318. #2438C22semidirect
345. #2381C22semidirect
346. #2378C22semidirect
347. #2369C22semidirect
349. #2368C22semidirect
364. #2334C22semidirect
365. #2330C22semidirect
366. #2330C22semidirect
368. #2323C22semidirect

Maximal subgroups

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

subgroupindex
#599122
#585372
#584692
#553642
#552322
#551752
#550852
#549792
#542282
#527542
#524312
#499312
#499132
#498772
#498712
#457352
#436212
#434902
#431262
#430512
#426282
#426232
#421322
#419042
#414712
#406152
#405112
#385752
#384472
#380642
#367162
#363412
#357942
#353912
C2×#26252