Finite Group Databasebeta

← #8075371

Subgroups — #8075371

Order 512.

4933 conjugacy classes of subgroups.

The subgroup lattice has 2274 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59927C211yesmaximal, characteristic, complemented
2#59879C211yesmaximal, characteristic, complemented
3#59878C211yesmaximal, characteristic, complemented
4#59798C212yesmaximal, complemented
5#59779C212yesmaximal, complemented
6#59633C212yesmaximal, complemented
7#51915C212yesmaximal, complemented
8#51914C212yesmaximal, complemented
9#51904C212yesmaximal, complemented
10#50846C212yesmaximal, complemented
11#50784C212yesmaximal, complemented
12#49525C212yesmaximal, complemented
13#48988C212yesmaximal, complemented
14#48649C212yesmaximal, complemented
15#48197C212yesmaximal, complemented
16#47649C212yesmaximal, complemented
17#47627C212yesmaximal, complemented
18#47622C212yesmaximal, complemented
19#44882C212yesmaximal, complemented
20#44778C212yesmaximal, complemented
21#44437C212yesmaximal, complemented
22#44326C212yesmaximal, complemented
23#44262C212yesmaximal, complemented
24#44191C212yesmaximal, complemented
25#44133C212yesmaximal, complemented
26#44071C212yesmaximal, complemented
27#43902C212yesmaximal, complemented
28#40361C212yesmaximal, complemented
29#39961C212yesmaximal, complemented
30#39770C211yesmaximal, characteristic, complemented
31#39745C211yesmaximal, characteristic, complemented
32#39386C211yesmaximal, characteristic, complemented
33#38297C212yesmaximal, complemented
34#34523C211yesmaximal, characteristic, complemented
35#34450C212yesmaximal, complemented
36C2×#563C2211yescharacteristic
37C2×#559C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#547C2212yes—
40C2×#542C2212yes—
41C2×#540C2212yes—
42#2867C2211yescharacteristic
43#2850C2212yes—
44#2829C2212yes—
45#2810C2211yescharacteristic
46#2809C2211yescharacteristic
47#2808C2212yes—
48#2808C2211yescharacteristic
49#2806C2211yescharacteristic
50#2806C2211yescharacteristic
51#2805C2211yescharacteristic
52#2803C2212yes—
53#2803C2212yes—
54#2803C2212yes—
55#2803C2212yes—
56#2803C2212yes—
57#2803C2212yes—
58#2800C2212yes—
59#2797C2212yes—
60#2797C2212yes—
61#2796C2212yes—
62#2761C2212yes—
63#2756C2212yes—
64#2756C2212yes—
65#2753C2212yes—
66#2752C2212yes—
67#2752C2212yes—
68#2751C2212yes—
69#2749C2212yes—
70#2743C2212yes—
71#2734C2211yescharacteristic
72#2733C2211yescharacteristic
73#2732C2211yescharacteristic
74#2732C2212yes—
75#2731C2212yes—
76#2730C2212yes—
77#2730C2212yes—
78#2727C2212yes—
79#2727C2211yescharacteristic
80#2726C2211yescharacteristic
81#2724C2211yescharacteristic
82#2723C2212yes—
83#2715C2212yes—
84#2715C2212yes—
85#2714C2212yes—
86#2714C2212yes—
87#2714C2212yes—
88#2714C2212yes—
89#2714C2212yes—
90#2714C2212yes—
91#2714C2212yes—
92#2711C2212yes—
93#2711C2212yes—
94#2710C2212yes—
95#2709C2212yes—
96#2709C2212yes—
97#2709C2212yes—
98#2709C2212yes—
99#2709C2212yes—
100#2709C2212yes—
101#2708C2212yes—
102#2708C2212yes—
103#2706C2212yes—
104#2705C2212yes—
105#2705C2212yes—
106#2702C2212yes—
107#2701C2212yes—
108#2700C2212yes—
109#2700C2212yes—
110#2699C2212yes—
111#2699C2212yes—
112#2699C2212yes—
113#2696C2212yes—
114#2696C2212yes—
115#2692C2212yes—
116#2691C2212yes—
117#2691C2212yes—
118#2688C2212yes—
119#2688C2212yes—
120#2688C2212yes—
121#2682C2212yes—
122#2682C2212yes—
123#2676C2212yes—
124#2676C2212yes—
125#2674C2212yes—
126#2674C2212yes—
127#2673C2212yes—
128#2673C2212yes—
129#2673C2212yes—
130#2673C2212yes—
131#2673C2212yes—
132#2673C2212yes—
133#2673C2212yes—
134#2673C2212yes—
135#2673C2212yes—
136#2673C2212yes—
137#2673C2212yes—
138#2673C2212yes—
139#2672C2212yes—
140#2671C2212yes—
141#2661C2212yes—
142#2661C2212yes—
143#2657C2212yes—
144#2651C2212yes—
145#2651C2212yes—
146#2648C2212yes—
147#2641C2212yes—
148#2635C2212yes—
149#2619C2212yes—
150#2612C2212yes—
151#2611C2212yes—
152#2610C2212yes—
153#2604C2212yes—
154#2603C2212yes—
155#2603C2212yes—
156#2602C2212yes—
157#2602C2212yes—
158#2602C2212yes—
159#2602C2212yes—
160#2601C2212yes—
161#2601C2212yes—
162#2600C2212yes—
163#2598C2212yes—
164#2595C2212yes—
165#2593C2212yes—
166#2591C2212yes—
167#2591C2212yes—
168#2590C2212yes—
169#2588C2212yes—
170#2588C2212yes—
171#2586C2212yes—
172#2585C2212yes—
173#2585C2212yes—
174#2585C2212yes—
175#2578C2212yes—
176#2577C2212yes—
177#2575C2212yes—
178#2573C2212yes—
179#2573C2212yes—
180#2560C2212yes—
181#2560C2212yes—
182#2559C2212yes—
183#2559C2212yes—
184#2559C2212yes—
185#2559C2212yes—
186#2559C2212yes—
187#2557C2212yes—
188#2557C2212yes—
189#2557C2212yes—
190#2555C2212yes—
191#2555C2212yes—
192#2555C2212yes—
193#2555C2212yes—
194#2555C2212yes—
195#2554C2212yes—
196#2554C2212yes—
197#2554C2212yes—
198#2554C2212yes—
199#2554C2212yes—
200#2554C2212yes—
201#2554C2212yes—
202#2553C2212yes—
203#2553C2212yes—
204#2548C2211yescharacteristic
205#2548C2211yescharacteristic
206#2548C2211yescharacteristic
207#2544C2212yes—
208#2544C2212yes—
209#2544C2212yes—
210#2544C2212yes—
211#2543C2212yes—
212#2543C2212yes—
213#2541C2211yescharacteristic
214#2541C2211yescharacteristic
215#2541C2212yes—
216#2541C2212yes—
217#2541C2211yescharacteristic
218#2541C2212yes—
219#2540C2212yes—
220#2540C2212yes—
221#2531C2212yes—
222#2531C2212yes—
223#2529C2212yes—
224#2526C2212yes—
225#2526C2212yes—
226#2526C2212yes—
227#2524C2212yes—
228#2521C2212yes—
229#2518C2212yes—
230#2516C2212yes—
231#2491C2212yes—
232#2491C2212yes—
233#2490C2212yes—
234#2490C2212yes—
235#2488C2212yes—
236#2488C2212yes—
237#2485C2212yes—
238#2476C2212yes—
239#2476C2212yes—
240#2474C2212yes—
241#2471C2212yes—
242#2470C2212yes—
243#2468C2212yes—
244#2468C2212yes—
245#2467C2212yes—
246#2467C2212yes—
247#2467C2212yes—
248#2467C2212yes—
249#2466C2212yes—
250#2464C2212yes—
251#2463C2212yes—
252#2463C2212yes—
253#2462C2212yes—
254#2461C2212yes—
255#2459C2212yes—
256#2459C2212yes—
257#2459C2212yes—
258#2459C2212yes—
259#2459C2212yes—
260#2459C2212yes—
261#2458C2212yes—
262#2457C2212yes—
263#2457C2212yes—
264#2456C2212yes—
265#2449C2212yes—
266#2448C2212yes—
267#2446C2212yes—
268#2445C2212yes—
269#2445C2212yes—
270#2445C2212yes—
271#2445C2212yes—
272#2445C2212yes—
273#2445C2212yes—
274#2445C2212yes—
275#2445C2212yes—
276#2445C2212yes—
277#2445C2212yes—
278#2445C2212yes—
279#2444C2212yes—
280#2443C2212yes—
281#2432C2212yes—
282#2431C2212yes—
283#2431C2212yes—
284#2431C2212yes—
285#2431C2212yes—
286#2430C2212yes—
287#2428C2212yes—
288#2428C2212yes—
289#2428C2212yes—
290#2428C2212yes—
291#2428C2212yes—
292#2428C2212yes—
293#2426C2212yes—
294#2425C2212yes—
295#2421C2212yes—
296#2420C2212yes—
297#2419C2212yes—
298#2419C2212yes—
299#2417C2212yes—
300#2416C2212yes—
301#2415C2212yes—
302#2414C2212yes—
303#2407C2212yes—
304#2407C2212yes—
305#2407C2212yes—
306#2398C2212yes—
307#2392C2212yes—
308#2388C2212yes—
309#2382C2211yescharacteristic
310#2382C2211yescharacteristic
311#2379C2211yescharacteristic
312#2377C2212yes—
313#2377C2212yes—
314#2376C2212yes—
315#2374C2212yes—
316#2374C2212yes—
317#2374C2212yes—
318#2374C2212yes—
319#2373C2212yes—
320#2373C2212yes—
321#2373C2212yes—
322#2372C2212yes—
323#2372C2212yes—
324#2371C2212yes—
325#2370C2212yes—
326#2369C2212yes—
327#2369C2212yes—
328#2368C2212yes—
329#2366C2211yescharacteristic
330#2366C2211yescharacteristic
331#2366C2211yescharacteristic
332#2366C2211yescharacteristic
333#2364C2212yes—
334#2364C2212yes—
335#2364C2212yes—
336#2364C2212yes—
337#2363C2212yes—
338#2363C2212yes—
339#2361C2212yes—
340#2360C2212yes—
341#2360C2212yes—
342#2359C2212yes—
343#2359C2212yes—
344#2353C2212yes—
345#2352C2212yes—
346#2346C2212yes—
347#2343C2212yes—
348#2335C2212yes—
349#2335C2212yes—
350#2334C2212yes—
351#2334C2212yes—
352#2333C2212yes—
353#2333C2212yes—
354#2333C2212yes—
355#2333C2212yes—
356#2332C2212yes—
357#2332C2212yes—
358#2328C2212yes—
359#2328C2212yes—
360#2327C2212yes—
361#2325C2212yes—
362#2325C2212yes—
363#2324C2212yes—
364#2322C2212yes—
365#2322C2212yes—
366#2318C2212yes—
367C4×#125C2211yescharacteristic
368C4×#125C2211yescharacteristic
369C4×#124C2211yescharacteristic
370C4×#123C2212yes—
371C4×#123C2212yes—
372C4×#121C2212yes—
373C4×#121C2212yes—
374#2297C2212yes—
375#2295C2211yescharacteristic
376#2295C2211yescharacteristic
377#2293C2211yescharacteristic
378#2290C2212yes—
379C22×#41C2312yes—
380C22×#41C2312yes—
381#563—28no—
382#559—44no—
383#550—44no—
384#547—48no—
385#542—48no—
386#540—216no—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×#127C2312yes—
390C2×#127C2311yescharacteristic
391C2×#127C2311yescharacteristic
392C2×#127C2311yescharacteristic
393C2×#127C2311yescharacteristic
394C2×#127C2311yescharacteristic
395C2×#127C2311yescharacteristic
396C2×#127C2312yes—
397C2×#127C2312yes—
398C2×#127C2312yes—
399C2×#127C2312yes—
400C2×#127C2312yes—
401C2×#127C2312yes—
402C2×#127C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#125C2311yescharacteristic
412C2×#125C2312yes—
413C2×#125C2311yescharacteristic
414C2×#124C2311yescharacteristic
415C2×#124C2312yes—
416C2×#124C2312yes—
417C2×#124C2312yes—
418C2×#124C2312yes—
419C2×#124C2312yes—
420C2×#124C2312yes—
421C2×#124C2312yes—
422C2×#124C2312yes—
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×#121C2312yes—
474C2×#121C2312yes—
475C2×#121C2312yes—
476C2×#121C2312yes—
477C2×#121C2312yes—
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2312yes—
481C2×C4×Q8C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C42C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#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#397C2312yes—
543#397C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#396C2312yes—
565#396C2312yes—
566#396C2312yes—
567#396C2312yes—
568#396C2312yes—
569#396C2312yes—
570#396C2312yes—
571#396C2312yes—
572#396C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#395C2312yes—
577#395C2312yes—
578#395C2312yes—
579#395C2312yes—
580#395C2312yes—
581#394C2312yes—
582#394C2312yes—
583#394C2312yes—
584#394C2312yes—
585#394C2312yes—
586#394C2312yes—
587#394C2312yes—
588#394C2312yes—
589#394C2312yes—
590#394C2312yes—
591#394C2312yes—
592#394C2312yes—
593#394C2312yes—
594#394C2312yes—
595#394C2312yes—
596#394C2312yes—
597#394C2312yes—
598#394C2312yes—
599#394C2312yes—
600#394C2312yes—
601#394C2312yes—
602#394C2312yes—
603#394C2312yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#392C2312yes—
655#392C2312yes—
656#392C2312yes—
657#392C2312yes—
658#392C2312yes—
659#392C2312yes—
660#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2312yes—
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#392C2312yes—
675#392C2312yes—
676#392C2312yes—
677#392C2312yes—
678#392C2312yes—
679#392C2312yes—
680#392C2312yes—
681#392C2312yes—
682#392C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2311yescharacteristic
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2311yescharacteristic
700#391C2312yes—
701#391C2311yescharacteristic
702#391C2311yescharacteristic
703#391C2312yes—
704#391C2311yescharacteristic
705#391C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2311yescharacteristic
739#390C2311yescharacteristic
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2311yescharacteristic
752#389C2311yescharacteristic
753#389C2311yescharacteristic
754#389C2311yescharacteristic
755#389C2311yescharacteristic
756#389C2311yescharacteristic
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2311yescharacteristic
763#389C2311yescharacteristic
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#389C2311yescharacteristic
780#389C2311yescharacteristic
781#389C2311yescharacteristic
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
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#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
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#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#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#383C2312yes—
1011#383C2312yes—
1012#382C2311yescharacteristic
1013#382C2311yescharacteristic
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2311yescharacteristic
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2311yescharacteristic
1041C4×C4⋊C4C2311yescharacteristic
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2311yescharacteristic
1046C4×C4⋊C4C2311yescharacteristic
1047C4×C4⋊C4C2311yescharacteristic
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2311yescharacteristic
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2311yescharacteristic
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
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⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099#376C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C43C2311yescharacteristic
1104C2×#41—28no—
1105C2×#41—44no—
1106C2×#41—82no—
1107C2×#41—82no—
1108C2×#41—82no—
1109C2×#41—82no—
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2412yes—
1114C22×Q8C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2411yescharacteristic
1132C22×D4C2411yescharacteristic
1133C22×D4C2412yes—
1134C22×D4C2412yes—
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C22×D4C2412yes—
1140C22×D4C2412yes—
1141C22×D4C2412yes—
1142C22×D4C2412yes—
1143C22×D4C2412yes—
1144C22×D4C2412yes—
1145C22×D4C2412yes—
1146C22×D4C2412yes—
1147C22×D4C2411yescharacteristic
1148C22×D4C2411yescharacteristic
1149C22×D4C2411yescharacteristic
1150C22×D4C2411yescharacteristic
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C23×C4C2412yes—
1158C23×C4C2412yes—
1159C23×C4C2412yes—
1160C23×C4C2412yes—
1161C23×C4C2412yes—
1162C23×C4C2412yes—
1163C23×C4C2412yes—
1164C23×C4C2412yes—
1165C23×C4C2412yes—
1166C23×C4C2412yes—
1167C23×C4C2412yes—
1168C23×C4C2412yes—
1169C4⋊Q8—28no—
1170C4⋊Q8—28no—
1171#127—28no—
1172#127—42no—
1173#127—42no—
1174#127—42no—
1175#127—42no—
1176#127—44no—
1177#127—42no—
1178#127—42no—
1179#127—82no—
1180#127—82no—
1181#127—82no—
1182#127—82no—
1183#127—82no—
1184#127—82no—
1185#126—28no—
1186#126—28no—
1187#126—44no—
1188#126—44no—
1189#126—44no—
1190#126—82no—
1191#126—82no—
1192#126—82no—
1193#125—24no—
1194#125—44no—
1195#125#4118yescomplemented
1196#124—28no—
1197#124—24no—
1198#124—44no—
1199#124—44no—
1200#124—44no—
1201#124—44no—
1202#124—82no—
1203#124—82no—
1204#124—82no—
1205#124—82no—
1206#124—82no—
1207#123—28no—
1208#123—28no—
1209#123—28no—
1210#123—28no—
1211#123—28no—
1212#123—44no—
1213#123—44no—
1214#123—44no—
1215#123—44no—
1216#123—44no—
1217#123—44no—
1218#123—44no—
1219#123—44no—
1220#123—44no—
1221#123—44no—
1222#123—44no—
1223#123—82no—
1224C22⋊Q8—28no—
1225C22⋊Q8—28no—
1226C22⋊Q8—28no—
1227C22⋊Q8—44no—
1228C22⋊Q8—44no—
1229C22⋊Q8—44no—
1230C22⋊Q8—82no—
1231C22⋊Q8—82no—
1232#121—28no—
1233#121—28no—
1234#121—28no—
1235#121—28no—
1236#121—28no—
1237#121—28no—
1238#121—44no—
1239#121—44no—
1240#121—44no—
1241#121—44no—
1242#121—44no—
1243#121—44no—
1244#121—44no—
1245#121—44no—
1246#121—44no—
1247#121—44no—
1248#121—44no—
1249#121—44no—
1250#121—82no—
1251#121—82no—
1252#121—82no—
1253#121—82no—
1254#121—82no—
1255#121—82no—
1256#121—82no—
1257#121—82no—
1258#121—82no—
1259#121—82no—
1260C4×Q8—24no—
1261C4×Q8—42no—
1262C4×Q8—44no—
1263C4×Q8—42no—
1264C4×D4—28no—
1265C4×D4—28no—
1266C4×D4—44no—
1267C4×D4—42no—
1268C4×D4—44no—
1269C4×D4—44no—
1270C4×D4—44no—
1271C4×D4—44no—
1272C4×D4—42no—
1273C4×D4—44no—
1274C4×D4—82no—
1275C4×D4—82no—
1276C4×D4—82no—
1277C4×D4—82no—
1278C4×D4—82no—
1279C4×D4—82no—
1280C4×D4—82no—
1281C4×D4—82no—
1282C4×D4—82no—
1283C4×D4—82no—
1284C4×D4—82no—
1285#117—28no—
1286#117—44no—
1287#117—82no—
1288#117—82no—
1289C2×C4⋊C4—44no—
1290C2×C4⋊C4—44no—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2411yescharacteristic
1356C2×C4⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C42—82no—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2411yescharacteristic
1467C2×C42C2411yescharacteristic
1468C2×C42C2411yescharacteristic
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2412yes—
1475C2×C42C2412yes—
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2412yes—
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2411yescharacteristic
1492C2×C42C2411yescharacteristic
1493C2×C42C2411yescharacteristic
1494C2×C42C2411yescharacteristic
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—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576C24C2512yes—
1577C24C2512yes—
1578C24C2512yes—
1579C24C2512yes—
1580C24C2512yes—
1581C24C2512yes—
1582#41—816no—
1583#41—816no—
1584C2×Q8—24no—
1585C2×Q8—22no—
1586C2×Q8—24no—
1587C2×Q8—22no—
1588C2×Q8—41no—
1589C2×Q8—41no—
1590C2×Q8—42no—
1591C2×Q8—41no—
1592C2×Q8—42no—
1593C2×Q8—42no—
1594C2×Q8—41no—
1595C2×Q8—41no—
1596C2×Q8—41no—
1597C2×Q8—42no—
1598C2×Q8H(5,𝔽2)14yes—
1599C2×D4—24no—
1600C2×D4—24no—
1601C2×D4—24no—
1602C2×D4—24no—
1603C2×D4—24no—
1604C2×D4—24no—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—24no—
1608C2×D4—24no—
1609C2×D4—22no—
1610C2×D4—24no—
1611C2×D4—24no—
1612C2×D4—24no—
1613C2×D4—24no—
1614C2×D4—22no—
1615C2×D4—24no—
1616C2×D4—24no—
1617C2×D4—24no—
1618C2×D4—24no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—41no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—42no—
1641C2×D4—42no—
1642C2×D4—42no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—42no—
1648C2×D4—42no—
1649C2×D4—42no—
1650C2×D4—42no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—42no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—41no—
1667C2×D4—42no—
1668C2×D4—41no—
1669C2×D4—42no—
1670C2×D4—41no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—41no—
1677C2×D4—41no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C2×D4—41no—
1696C2×D4—41no—
1697C2×D4—42no—
1698C2×D4—42no—
1699C2×D4—41no—
1700C2×D4—41no—
1701C2×D4—41no—
1702C2×D4—41no—
1703C2×D4—41no—
1704C2×D4—41no—
1705C2×D4—41no—
1706C2×D4—41no—
1707C22×C4—24no—
1708C22×C4—24no—
1709C22×C4—24no—
1710C22×C4—24no—
1711C22×C4—24no—
1712C22×C4—24no—
1713C22×C4—24no—
1714C22×C4—24no—
1715C22×C4—24no—
1716C22×C4—24no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—42no—
1722C22×C4—42no—
1723C22×C4—42no—
1724C22×C4—42no—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—42no—
1728C22×C4—42no—
1729C22×C4—42no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—42no—
1733C22×C4—42no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
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×C4C2511yescharacteristic
1762C22×C4C2512yes—
1763C22×C4C2512yes—
1764C22×C4C2512yes—
1765C22×C4C2512yes—
1766C22×C4C2512yes—
1767C22×C4C2512yes—
1768C22×C4C2512yes—
1769C22×C4C2512yes—
1770C22×C4C2512yes—
1771C22×C4C2512yes—
1772C22×C4C2512yes—
1773C22×C4C2512yes—
1774C22×C4C2512yes—
1775C22×C4C2512yes—
1776C22×C4C2512yes—
1777C22×C4C2512yes—
1778C22×C4C2512yes—
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2511yescharacteristic
1782C22×C4C2511yescharacteristic
1783C22×C4C2511yescharacteristic
1784C22×C4C2512yes—
1785C22×C4C2512yes—
1786C22×C4C2511yescharacteristic
1787C22×C4C2512yes—
1788C22×C4C2511yescharacteristic
1789C22×C4C2511yescharacteristic
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—22no—
1793C4⋊C4—24no—
1794C4⋊C4—24no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—22no—
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—22no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—24no—
1806C4⋊C4—24no—
1807C4⋊C4—22no—
1808C4⋊C4—22no—
1809C4⋊C4—24no—
1810C4⋊C4—24no—
1811C4⋊C4—24no—
1812C4⋊C4—24no—
1813C4⋊C4—24no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—41no—
1823C4⋊C4—41no—
1824C4⋊C4—41no—
1825C4⋊C4—41no—
1826C4⋊C4—41no—
1827C4⋊C4—41no—
1828C4⋊C4—41no—
1829C4⋊C4—41no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—41no—
1837C4⋊C4—41no—
1838C4⋊C4—41no—
1839C4⋊C4—41no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4C2×#4114yes—
1855C4⋊C4C2×#4114yes—
1856C4⋊C4C2×#4118yes—
1857C4⋊C4C2×#4118yes—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—24no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—24no—
1878C22⋊C4—24no—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4—42no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
1938C22⋊C4—42no—
1939C22⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4—42no—
1945C22⋊C4—42no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—42no—
1949C22⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C42—24no—
1961C42—24no—
1962C42—24no—
1963C42—24no—
1964C42—22no—
1965C42—24no—
1966C42—22no—
1967C42—22no—
1968C42—42no—
1969C42—42no—
1970C42—42no—
1971C42—42no—
1972C42—42no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C42—42no—
1977C42—42no—
1978C42—42no—
1979C42—42no—
1980C42—42no—
1981C42—42no—
1982C42—42no—
1983C42—42no—
1984C42—42no—
1985C42—42no—
1986C42—42no—
1987C42—42no—
1988C42—42no—
1989C42—41no—
1990C42—41no—
1991C42—41no—
1992C42C2×#4114yes—
1993C23—22no—
1994C23—22no—
1995C23—22no—
1996C23—22no—
1997C23—22no—
1998C23—22no—
1999C23—22no—
2000C23—22no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23—22no—
2017C23—22no—
2018C23—22no—
2019C23—22no—
2020C23—22no—
2021C23—22no—
2022C23—22no—
2023C23—22no—
2024C23—22no—
2025C23—22no—
2026C23—22no—
2027C23—22no—
2028C23—22no—
2029C23—22no—
2030C23—22no—
2031C23—22no—
2032C23—22no—
2033C23—22no—
2034C23—22no—
2035C23C2611yescharacteristic
2036Q8—44no—
2037Q8—84no—
2038Q8—82no—
2039Q8—82no—
2040Q8—84no—
2041D4—48no—
2042D4—84no—
2043D4—84no—
2044D4—82no—
2045D4—84no—
2046D4—84no—
2047D4—84no—
2048D4—84no—
2049D4—84no—
2050D4—84no—
2051D4—84no—
2052D4—84no—
2053D4—84no—
2054D4—84no—
2055D4—84no—
2056D4—82no—
2057D4—84no—
2058D4—84no—
2059D4—84no—
2060D4—84no—
2061D4—84no—
2062D4—84no—
2063D4—84no—
2064D4—84no—
2065D4—84no—
2066D4—162no—
2067D4—162no—
2068D4—161no—
2069D4—161no—
2070D4—161no—
2071D4—161no—
2072D4—162no—
2073D4—162no—
2074D4—162no—
2075D4—162no—
2076D4—162no—
2077C2×C4—21no—
2078C2×C4—22no—
2079C2×C4—21no—
2080C2×C4—21no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—21no—
2084C2×C4—21no—
2085C2×C4—21no—
2086C2×C4—21no—
2087C2×C4—21no—
2088C2×C4—21no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—21no—
2092C2×C4—21no—
2093C2×C4—21no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—21no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—21no—
2113C2×C4—21no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—22no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—22no—
2139C2×C4—22no—
2140C2×C4—22no—
2141C2×C4—22no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—22no—
2147C2×C4—22no—
2148C2×C4—22no—
2149C2×C4—22no—
2150C2×C4—22no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—22no—
2154C2×C4—22no—
2155C2×C4—48no—
2156C2×C4—84no—
2157C2×C4—84no—
2158C2×C4—84no—
2159C2×C4—84no—
2160C2×C4—84no—
2161C2×C4—84no—
2162C2×C4—84no—
2163C2×C4—84no—
2164C2×C4—84no—
2165C2×C4—84no—
2166C2×C4—84no—
2167C2×C4—84no—
2168C2×C4—162no—
2169C2×C4—162no—
2170C2×C4—162no—
2171C2×C4—162no—
2172C2×C4—162no—
2173C2×C4C22×#4112yes—
2174C2×C4C22×#4114yes—
2175C2×C4C22×#4112yes—
2176C2×C4C22×#4112yes—
2177C2×C4C22×#4114yes—
2178C2×C4C2×H(5,𝔽2)12yes—
2179C2×C4C2×H(5,𝔽2)14yes—
2180C2×C4#58512yes—
2181C2×C4#58512yes—
2182C22—42no—
2183C22—42no—
2184C22—42no—
2185C22—42no—
2186C22—42no—
2187C22—42no—
2188C22—42no—
2189C22—42no—
2190C22—42no—
2191C22—42no—
2192C22—42no—
2193C22—42no—
2194C22—42no—
2195C22—42no—
2196C22—42no—
2197C22—42no—
2198C22—42no—
2199C22—42no—
2200C22—42no—
2201C22—42no—
2202C22—42no—
2203C22—42no—
2204C22—42no—
2205C22—42no—
2206C22—42no—
2207C22—42no—
2208C22—42no—
2209C22—42no—
2210C22—42no—
2211C22—42no—
2212C22—42no—
2213C22—42no—
2214C22—42no—
2215C22—42no—
2216C22—42no—
2217C22—42no—
2218C22—42no—
2219C22—42no—
2220C22—42no—
2221C22—42no—
2222C22—42no—
2223C22—42no—
2224C22C23×#4111yescharacteristic
2225C22C22×H(5,𝔽2)11yescharacteristic
2226C22C2×#58511yescharacteristic
2227C22C2×#58511yescharacteristic
2228C22H(7,𝔽2)11yescharacteristic
2229C22H(7,𝔽2)11yescharacteristic
2230C22H(7,𝔽2)11yescharacteristic
2231C4—24no—
2232C4—22no—
2233C4—22no—
2234C4—24no—
2235C4—22no—
2236C4—24no—
2237C4—22no—
2238C4—22no—
2239C4—22no—
2240C4—42no—
2241C4—42no—
2242C4—42no—
2243C4—42no—
2244C4—42no—
2245C4—42no—
2246C4—42no—
2247C4—42no—
2248C4—42no—
2249C4—41no—
2250C4—42no—
2251C4—42no—
2252C4—42no—
2253C4—42no—
2254C4—42no—
2255C4—42no—
2256C4—42no—
2257C4—42no—
2258C4—42no—
2259C4—42no—
2260C2—82no—
2261C2—82no—
2262C2—82no—
2263C2—82no—
2264C2—82no—
2265C2—82no—
2266C2#6286211yescharacteristic
2267C2#6287011yescharacteristic
2268C2#6287011yescharacteristic
2269C2#6298611yescharacteristic
2270C2#6300611yescharacteristic
2271C2#6301011yescharacteristic
2272C2#6303511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59927C2semidirect
2. #59879C2semidirect
3. #59878C2semidirect
4. #59798C2semidirect
5. #59779C2semidirect
6. #59633C2semidirect
7. #51915C2semidirect
8. #51914C2semidirect
9. #51904C2semidirect
10. #50846C2semidirect
11. #50784C2semidirect
12. #49525C2semidirect
13. #48988C2semidirect
14. #48649C2semidirect
15. #48197C2semidirect
16. #47649C2semidirect
17. #47627C2semidirect
18. #47622C2semidirect
19. #44882C2semidirect
20. #44778C2semidirect
21. #44437C2semidirect
22. #44326C2semidirect
23. #44262C2semidirect
24. #44191C2semidirect
25. #44133C2semidirect
26. #44071C2semidirect
27. #43902C2semidirect
28. #40361C2semidirect
29. #39961C2semidirect
30. #39770C2semidirect
31. #39745C2semidirect
32. #39386C2semidirect
33. #38297C2semidirect
34. #34523C2semidirect
35. #34450C2semidirect
1195. #125#41semidirect

Maximal subgroups

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

subgroupindex
#599272
#598792
#598782
#597982
#597792
#596332
#519152
#519142
#519042
#508462
#507842
#495252
#489882
#486492
#481972
#476492
#476272
#476222
#448822
#447782
#444372
#443262
#442622
#441912
#441332
#440712
#439022
#403612
#399612
#397702
#397452
#393862
#382972
#345232
#344502