Finite Group Databasebeta

← #8927288

Subgroups — #8927288

Order 512.

4418 conjugacy classes of subgroups.

The subgroup lattice has 2148 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58802C211yesmaximal, characteristic, complemented
2#58787C211yesmaximal, characteristic, complemented
3#58751C211yesmaximal, characteristic, complemented
4#58750C211yesmaximal, characteristic, complemented
5#57722C212yesmaximal, complemented
6#56793C212yesmaximal, complemented
7#54961C212yesmaximal, complemented
8#54958C212yesmaximal, complemented
9#54846C212yesmaximal, complemented
10#54573C212yesmaximal, complemented
11#54236C212yesmaximal, complemented
12#54033C212yesmaximal, complemented
13#54029C212yesmaximal, complemented
14#53971C212yesmaximal, complemented
15#51254C212yesmaximal, complemented
16#50671C212yesmaximal, complemented
17#49454C212yesmaximal, complemented
18#48725C212yesmaximal, complemented
19#48327C212yesmaximal, complemented
20#47918C212yesmaximal, complemented
21#46829C212yesmaximal, complemented
22#46459C212yesmaximal, complemented
23#46353C212yesmaximal, complemented
24#46138C212yesmaximal, complemented
25#45985C212yesmaximal, complemented
26#45660C212yesmaximal, complemented
27#45615C212yesmaximal, complemented
28#45613C212yesmaximal, complemented
29#45603C212yesmaximal, complemented
30#36955C211yesmaximal, characteristic, complemented
31#36779C212yesmaximal, complemented
32#36740C212yesmaximal, complemented
33#36720C211yesmaximal, characteristic, complemented
34#35457C212yesmaximal, complemented
35#35394C211yesmaximal, characteristic, complemented
36C2×#543C2211yescharacteristic
37C2×#538C2212yes—
38C2×#538C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C22×#123C2211yescharacteristic
41#2857C2212yescomplemented
42#2852C2212yes—
43#2850C2212yes—
44#2850C2212yescomplemented
45#2849C2212yes—
46#2848C2211yescharacteristic
47#2848C2211yescharacteristic
48#2845C2212yescomplemented
49#2844C2211yescharacteristic, complemented
50#2843C2211yescharacteristic, complemented
51#2843C2212yescomplemented
52#2836C2212yescomplemented
53#2834C2212yescomplemented
54#2833C2211yescharacteristic, complemented
55#2832C2212yescomplemented
56#2831C2212yescomplemented
57#2831C2212yescomplemented
58#2829C2212yescomplemented
59#2829C2212yescomplemented
60#2828C2211yescharacteristic, complemented
61#2827C2212yescomplemented
62#2827C2212yescomplemented
63#2826C2212yescomplemented
64#2821C2212yescomplemented
65#2819C2212yescomplemented
66#2812C2212yes—
67#2811C2211yescharacteristic, complemented
68#2808C2212yescomplemented
69#2807C2212yescomplemented
70#2803C2212yescomplemented
71#2799C2211yescharacteristic, complemented
72#2793C2212yescomplemented
73#2792C2211yescharacteristic, complemented
74#2791C2212yescomplemented
75#2791C2212yescomplemented
76#2790C2212yescomplemented
77#2790C2212yescomplemented
78#2789C2211yescharacteristic, complemented
79#2788C2212yescomplemented
80#2787C2212yescomplemented
81#2786C2212yescomplemented
82#2785C2212yescomplemented
83#2785C2211yescharacteristic, complemented
84#2784C2211yescharacteristic, complemented
85#2781C2212yes—
86#2781C2212yes—
87#2781C2212yescomplemented
88#2779C2212yescomplemented
89#2779C2212yescomplemented
90#2778C2212yes—
91#2778C2212yescomplemented
92#2774C2212yescomplemented
93#2773C2212yescomplemented
94#2772C2212yescomplemented
95#2768C2212yescomplemented
96#2768C2212yescomplemented
97#2768C2212yescomplemented
98#2767C2212yescomplemented
99#2766C2212yescomplemented
100#2765C2212yes—
101#2764C2212yes—
102#2764C2212yescomplemented
103#2764C2212yescomplemented
104#2764C2212yescomplemented
105#2761C2212yes—
106#2761C2212yescomplemented
107#2757C2212yescomplemented
108#2756C2212yes—
109#2756C2212yescomplemented
110#2756C2212yescomplemented
111#2756C2212yescomplemented
112#2755C2212yescomplemented
113#2754C2212yescomplemented
114#2754C2212yescomplemented
115#2753C2212yescomplemented
116#2751C2212yescomplemented
117#2750C2212yescomplemented
118#2749C2212yes—
119#2749C2212yescomplemented
120#2747C2212yescomplemented
121#2747C2212yescomplemented
122#2746C2212yes—
123#2746C2212yescomplemented
124#2746C2212yescomplemented
125#2745C2212yescomplemented
126#2745C2212yescomplemented
127#2745C2212yescomplemented
128#2744C2212yes—
129#2743C2212yes—
130#2741C2212yes—
131#2741C2212yescomplemented
132#2741C2212yescomplemented
133#2741C2212yescomplemented
134#2740C2212yescomplemented
135#2737C2212yescomplemented
136#2737C2212yescomplemented
137#2735C2212yes—
138#2735C2212yes—
139#2732C2212yescomplemented
140#2730C2212yes—
141#2728C2212yescomplemented
142#2723C2212yescomplemented
143#2722C2212yescomplemented
144#2720C2212yescomplemented
145#2718C2212yescomplemented
146#2717C2212yes—
147#2717C2212yes—
148#2712C2212yescomplemented
149#2709C2212yes—
150#2709C2212yes—
151#2708C2212yes—
152#2708C2212yes—
153#2708C2212yes—
154#2708C2212yes—
155#2708C2212yescomplemented
156#2708C2212yescomplemented
157#2705C2212yes—
158#2702C2212yes—
159#2700C2212yes—
160#2700C2212yes—
161#2700C2212yescomplemented
162#2699C2212yes—
163#2699C2212yes—
164#2699C2212yescomplemented
165#2698C2212yes—
166#2698C2212yes—
167#2698C2212yescomplemented
168#2698C2212yescomplemented
169#2698C2212yescomplemented
170#2697C2212yes—
171#2692C2212yescomplemented
172#2691C2212yes—
173#2689C2212yes—
174#2689C2212yescomplemented
175#2687C2212yes—
176#2687C2212yes—
177#2687C2212yes—
178#2687C2212yes—
179#2687C2212yes—
180#2687C2212yes—
181#2687C2212yes—
182#2687C2212yescomplemented
183#2687C2212yescomplemented
184#2687C2212yescomplemented
185#2686C2212yes—
186#2686C2212yes—
187#2686C2212yescomplemented
188#2685C2212yes—
189#2685C2212yes—
190#2684C2212yes—
191#2683C2211yescharacteristic, complemented
192#2681C2212yes—
193#2681C2212yescomplemented
194#2680C2212yes—
195#2680C2212yes—
196#2680C2212yes—
197#2680C2212yes—
198#2680C2212yes—
199#2680C2212yescomplemented
200#2680C2211yescharacteristic, complemented
201#2674C2212yes—
202#2674C2212yescomplemented
203#2673C2212yes—
204#2673C2212yes—
205#2672C2212yes—
206#2672C2212yes—
207#2672C2212yes—
208#2672C2212yescomplemented
209#2670C2212yes—
210#2668C2212yes—
211#2666C2212yescomplemented
212#2666C2212yescomplemented
213#2659C2212yescomplemented
214#2655C2212yescomplemented
215#2654C2212yescomplemented
216#2650C2212yescomplemented
217#2650C2212yescomplemented
218#2639C2212yescomplemented
219#2638C2212yescomplemented
220#2635C2212yescomplemented
221#2632C2212yescomplemented
222#2630C2212yescomplemented
223#2627C2211yescharacteristic
224#2627C2211yescharacteristic
225#2627C2212yescomplemented
226#2627C2212yescomplemented
227#2623C2212yes—
228#2622C2212yes—
229#2618C2212yes—
230#2612C2211yescharacteristic, complemented
231#2606C2212yescomplemented
232#2603C2212yescomplemented
233#2603C2212yescomplemented
234#2600C2212yescomplemented
235#2600C2212yescomplemented
236#2595C2212yescomplemented
237#2595C2212yescomplemented
238#2593C2211yescharacteristic, complemented
239#2593C2212yescomplemented
240#2589C2212yescomplemented
241#2589C2212yescomplemented
242#2586C2212yescomplemented
243#2579C2212yescomplemented
244#2578C2212yescomplemented
245#2577C2212yescomplemented
246#2577C2212yescomplemented
247#2576C2212yescomplemented
248#2576C2212yescomplemented
249#2575C2212yes—
250#2572C2212yes—
251#2572C2211yescharacteristic, complemented
252#2571C2211yescharacteristic, complemented
253#2566C2212yescomplemented
254#2564C2212yescomplemented
255#2564C2212yescomplemented
256#2561C2212yes—
257#2561C2211yescharacteristic
258#2560C2212yescomplemented
259#2560C2212yescomplemented
260#2560C2212yescomplemented
261#2558C2212yes—
262#2557C2212yes—
263#2557C2212yes—
264#2556C2212yescomplemented
265#2553C2212yes—
266#2553C2212yes—
267#2553C2212yes—
268#2544C2212yes—
269#2539C2211yescharacteristic
270#2536C2212yescomplemented
271#2535C2212yescomplemented
272#2532C2212yescomplemented
273#2532C2212yescomplemented
274#2531C2212yescomplemented
275#2530C2212yescomplemented
276#2530C2212yescomplemented
277#2529C2212yescomplemented
278#2527C2212yes—
279#2526C2212yes—
280#2525C2212yescomplemented
281#2521C2212yes—
282#2521C2212yescomplemented
283#2521C2212yescomplemented
284#2521C2212yescomplemented
285#2520C2212yescomplemented
286#2520C2212yescomplemented
287#2516C2212yes—
288#2515C2212yes—
289#2515C2212yes—
290#2515C2212yes—
291#2510C2212yes—
292#2504C2211yescharacteristic
293#2502C2212yes—
294#2502C2211yescharacteristic
295#2502C2212yescomplemented
296#2495C2212yescomplemented
297#2493C2212yescomplemented
298#2491C2212yescomplemented
299#2489C2212yescomplemented
300#2488C2212yes—
301#2488C2212yescomplemented
302#2486C2212yescomplemented
303#2484C2211yescharacteristic
304#2484C2211yescharacteristic
305#2483C2212yes—
306#2481C2212yescomplemented
307#2478C2212yes—
308#2474C2212yes—
309#2473C2212yescomplemented
310#2468C2212yes—
311#2468C2212yescomplemented
312#2468C2212yescomplemented
313#2468C2212yescomplemented
314#2468C2212yescomplemented
315#2467C2212yescomplemented
316#2464C2212yes—
317#2464C2212yes—
318#2464C2212yes—
319#2463C2212yescomplemented
320#2463C2212yescomplemented
321#2461C2212yes—
322#2459C2212yescomplemented
323#2458C2212yes—
324#2457C2212yes—
325#2456C2212yes—
326#2455C2212yes—
327#2455C2212yescomplemented
328#2451C2212yescomplemented
329#2449C2212yescomplemented
330#2448C2212yescomplemented
331#2447C2212yes—
332#2447C2212yescomplemented
333#2445C2212yes—
334#2444C2212yes—
335#2443C2212yes—
336#2443C2212yes—
337#2443C2212yescomplemented
338#2442C2212yescomplemented
339#2437C2212yes—
340#2427C2212yescomplemented
341#2425C2212yes—
342#2422C2212yes—
343#2422C2212yes—
344#2421C2212yescomplemented
345#2417C2212yescomplemented
346#2417C2212yescomplemented
347#2416C2212yes—
348#2412C2212yes—
349#2412C2212yes—
350#2412C2212yes—
351#2412C2212yes—
352#2412C2212yes—
353#2410C2212yes—
354#2407C2212yes—
355#2406C2212yes—
356#2406C2211yescharacteristic
357#2406C2211yescharacteristic
358#2405C2212yes—
359#2383C2212yescomplemented
360#2381C2212yescomplemented
361#2379C2212yescomplemented
362#2379C2212yescomplemented
363#2379C2212yescomplemented
364#2377C2212yescomplemented
365#2355C2212yescomplemented
366D4×C4⋊C4C2212yescomplemented
367#2329C2212yescomplemented
368#2322C2212yes—
369#2321C2212yes—
370#2321C2212yes—
371#2318C2212yescomplemented
372#2312C2211yescharacteristic
373#2308C2211yescharacteristic
374C4×#123C2212yescomplemented
375C4×#120C2212yes—
376C2×#388C2212yes—
377#2283C2212yescomplemented
378#2273C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C23×D4C2311yescharacteristic
381C24×C4C2311yescharacteristic
382#543—44no—
383#538—44no—
384#538—48no—
385#535—44no—
386C2×C4⋊Q8C2312yes—
387C2×#127C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#125C2312yes—
395C2×#124C2312yes—
396C2×#124C2312yes—
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#123—44no—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#120C2312yes—
446C2×#120C2312yes—
447C2×#120C2312yes—
448C2×#120C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×#117C2311yescharacteristic
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2312yes—
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2312yes—
466C22×C22⋊C4C2311yescharacteristic
467C22×C22⋊C4C2312yes—
468C22×C22⋊C4C2311yescharacteristic
469C22×C22⋊C4C2311yescharacteristic
470C22×C22⋊C4C2312yes—
471C22×C22⋊C4C2312yes—
472C22×C42C2312yes—
473#401C2312yes—
474#401C2312yes—
475#401C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2311yescharacteristic
483#400C2312yes—
484#400C2311yescharacteristic
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2311yescharacteristic
491#400C2311yescharacteristic
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2311yescharacteristic
503#400C2312yes—
504#400C2311yescharacteristic
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#398C2312yes—
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#398C2311yescharacteristic
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#398C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
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#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2311yescharacteristic
639#395C2311yescharacteristic
640#395C2312yes—
641#395C2312yes—
642#395C2311yescharacteristic
643#395C2311yescharacteristic
644#395C2311yescharacteristic
645#395C2311yescharacteristic
646#395C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2311yescharacteristic
662#394C2312yes—
663#394C2311yescharacteristic
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
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#394C2312yes—
684#394C2312yes—
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#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2311yescharacteristic
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2311yescharacteristic
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2311yescharacteristic
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
752#390C2311yescharacteristic
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
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#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#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#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#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
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#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#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#384C2312yes—
1004#384C2311yescharacteristic
1005#384C2311yescharacteristic
1006#384C2312yes—
1007#384C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#383C2312yes—
1014#383C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2311yescharacteristic
1022#382C2312yes—
1023#382C2311yescharacteristic
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2311yescharacteristic
1031#381C2311yescharacteristic
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2311yescharacteristic
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#379C2312yes—
1071#379C2312yes—
1072#379C2312yes—
1073#379C2312yes—
1074#379C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2311yescharacteristic
1090C4×C22⋊C4C2311yescharacteristic
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099#376C2312yes—
1100#376C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C25C2411yescharacteristic
1105C2×#41—42no—
1106C2×#41—82no—
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×D4—24no—
1115C22×D4—82no—
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×D4C2411yescharacteristic
1131C22×D4C2411yescharacteristic
1132C23×C4—42no—
1133C23×C4—82no—
1134C23×C4C2411yescharacteristic
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2411yescharacteristic
1138C23×C4C2411yescharacteristic
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2411yescharacteristic
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C4⋊Q8—44no—
1154#127—44no—
1155#126—44no—
1156#126—44no—
1157#126—44no—
1158#126—44no—
1159#126—82no—
1160#126—82no—
1161#125—82no—
1162#124—44no—
1163#124—44no—
1164#124—44no—
1165#124—44no—
1166#124—44no—
1167#124—44no—
1168#124—44no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—82no—
1179#123—82no—
1180#123—82no—
1181#123—82no—
1182#123—82no—
1183#123—82no—
1184C22⋊Q8—44no—
1185C22⋊Q8—42no—
1186C22⋊Q8—42no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—42no—
1193C22⋊Q8—44no—
1194C22⋊Q8—82no—
1195C22⋊Q8—82no—
1196C22⋊Q8—82no—
1197C22⋊Q8—82no—
1198C22⋊Q8—82no—
1199C22⋊Q8—82no—
1200C22⋊Q8—82no—
1201#121—44no—
1202#121—44no—
1203#121—44no—
1204#121—44no—
1205#121—44no—
1206#121—44no—
1207#121—42no—
1208#121—44no—
1209#121—82no—
1210#121—82no—
1211#120—28no—
1212#120—28no—
1213#120—44no—
1214#120—44no—
1215C4×Q8—44no—
1216C4×D4—44no—
1217C4×D4—44no—
1218C4×D4—44no—
1219C4×D4—44no—
1220C4×D4—44no—
1221C4×D4—82no—
1222C4×D4—82no—
1223C4×D4—82no—
1224C4×D4—82no—
1225C4×D4—82no—
1226#117—42no—
1227C2×C4⋊C4—42no—
1228C2×C4⋊C4—42no—
1229C2×C4⋊C4—82no—
1230C2×C4⋊C4—82no—
1231C2×C4⋊C4—82no—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2411yescharacteristic
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2411yescharacteristic
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—24no—
1312C2×C22⋊C4—24no—
1313C2×C22⋊C4—28no—
1314C2×C22⋊C4—44no—
1315C2×C22⋊C4—42no—
1316C2×C22⋊C4—82no—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
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×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×C42—44no—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2411yescharacteristic
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2411yescharacteristic
1426C2×C42C2411yescharacteristic
1427C2×C42C2411yescharacteristic
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2411yescharacteristic
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2411yescharacteristic
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2411yescharacteristic
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2411yescharacteristic
1501#95C2411yescharacteristic
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2411yescharacteristic
1507#95C2411yescharacteristic
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2411yescharacteristic
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—
1538C24—22no—
1539C24—42no—
1540C24—42no—
1541C24—42no—
1542C24—41no—
1543C24—41no—
1544C24—42no—
1545C24—41no—
1546C24—41no—
1547C24H(5,𝔽2)14yes—
1548C24C2512yes—
1549C24C2512yes—
1550C24C2512yes—
1551C24C2511yescharacteristic
1552C24C2512yes—
1553#41—88no—
1554C2×Q8—24no—
1555C2×Q8—42no—
1556C2×Q8—42no—
1557C2×Q8—41no—
1558C2×Q8—42no—
1559C2×Q8—41no—
1560C2×Q8—41no—
1561C2×Q8—42no—
1562C2×Q8—41no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—41no—
1571C2×Q8—41no—
1572C2×D4—24no—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—24no—
1576C2×D4—24no—
1577C2×D4—24no—
1578C2×D4—24no—
1579C2×D4—24no—
1580C2×D4—24no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—41no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—41no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—41no—
1616C2×D4—42no—
1617C2×D4—41no—
1618C2×D4—42no—
1619C2×D4—88no—
1620C22×C4—22no—
1621C22×C4—22no—
1622C22×C4—22no—
1623C22×C4—22no—
1624C22×C4—22no—
1625C22×C4—24no—
1626C22×C4—24no—
1627C22×C4—24no—
1628C22×C4—24no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—41no—
1655C22×C4—41no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—88no—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2511yescharacteristic
1677C22×C4C2512yes—
1678C22×C4C2511yescharacteristic
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2511yescharacteristic
1692C22×C4C2511yescharacteristic
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2511yescharacteristic
1699C22×C4C2511yescharacteristic
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—42no—
1708C4⋊C4—41no—
1709C4⋊C4—41no—
1710C4⋊C4—42no—
1711C4⋊C4—41no—
1712C4⋊C4—41no—
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—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—41no—
1733C4⋊C4—41no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
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—41no—
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—41no—
1759C4⋊C4—41no—
1760C4⋊C4—41no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—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⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C42—24no—
1874C42—24no—
1875C42—24no—
1876C42—42no—
1877C42—42no—
1878C42—41no—
1879C42—42no—
1880C42—42no—
1881C42—41no—
1882C42—41no—
1883C42—41no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—22no—
1899C23—22no—
1900C23—22no—
1901C23—21no—
1902C23—21no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—44no—
1927C23—44no—
1928C23—44no—
1929C23—44no—
1930C23—82no—
1931C23—82no—
1932C23—84no—
1933C23—84no—
1934C23—162no—
1935C23—162no—
1936C23C2×H(5,𝔽2)14yes—
1937C23C2×H(5,𝔽2)12yes—
1938C23C2611yescharacteristic
1939Q8—84no—
1940Q8—82no—
1941Q8—162no—
1942Q8—162no—
1943Q8—161no—
1944Q8—161no—
1945Q8—161no—
1946D4—48no—
1947D4—84no—
1948D4—84no—
1949D4—84no—
1950D4—84no—
1951D4—84no—
1952D4—84no—
1953D4—84no—
1954D4—84no—
1955D4—84no—
1956D4—84no—
1957D4—82no—
1958D4—162no—
1959D4—162no—
1960D4—161no—
1961D4—162no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—21no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—21no—
2032C2×C4—22no—
2033C2×C4—21no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—21no—
2038C2×C4—21no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—44no—
2048C2×C4—84no—
2049C2×C4—84no—
2050C2×C4—84no—
2051C2×C4—82no—
2052C2×C4—84no—
2053C2×C4—82no—
2054C2×C4—82no—
2055C2×C4—82no—
2056C2×C4—84no—
2057C2×C4—84no—
2058C2×C4—84no—
2059C2×C4—84no—
2060C2×C4—84no—
2061C2×C4—162no—
2062C2×C4—162no—
2063C2×C4—162no—
2064C2×C4—162no—
2065C2×C4—162no—
2066C2×C4#58514yes—
2067C22—22no—
2068C22—24no—
2069C22—22no—
2070C22—24no—
2071C22—22no—
2072C22—24no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—88no—
2101C22—164no—
2102C22C22×H(5,𝔽2)11yescharacteristic
2103C22C2×#58512yes—
2104C22H(7,𝔽2)12yes—
2105C222−1+611yescharacteristic
2106C222−1+611yescharacteristic
2107C4—24no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—42no—
2123C4—42no—
2124C4—41no—
2125C4—41no—
2126C4—42no—
2127C4—41no—
2128C4—41no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—41no—
2134C4—41no—
2135C4—42no—
2136C4—42no—
2137C2—42no—
2138C2—44no—
2139C2—82no—
2140C2—82no—
2141C2—82no—
2142C2#6282211yescharacteristic
2143C2#6286311yescharacteristic
2144C2#6287111yescharacteristic
2145C2#6304312yes—
2146C2#6305012yes—
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. #58802C2semidirect
2. #58787C2semidirect
3. #58751C2semidirect
4. #58750C2semidirect
5. #57722C2semidirect
6. #56793C2semidirect
7. #54961C2semidirect
8. #54958C2semidirect
9. #54846C2semidirect
10. #54573C2semidirect
11. #54236C2semidirect
12. #54033C2semidirect
13. #54029C2semidirect
14. #53971C2semidirect
15. #51254C2semidirect
16. #50671C2semidirect
17. #49454C2semidirect
18. #48725C2semidirect
19. #48327C2semidirect
20. #47918C2semidirect
21. #46829C2semidirect
22. #46459C2semidirect
23. #46353C2semidirect
24. #46138C2semidirect
25. #45985C2semidirect
26. #45660C2semidirect
27. #45615C2semidirect
28. #45613C2semidirect
29. #45603C2semidirect
30. #36955C2semidirect
31. #36779C2semidirect
32. #36740C2semidirect
33. #36720C2semidirect
34. #35457C2semidirect
35. #35394C2semidirect
41. #2857C22semidirect
44. #2850C22semidirect
48. #2845C22semidirect
49. #2844C22semidirect
50. #2843C22semidirect
51. #2843C22semidirect
52. #2836C22semidirect
53. #2834C22semidirect
54. #2833C22semidirect
55. #2832C22semidirect
56. #2831C22semidirect
57. #2831C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2828C22semidirect
61. #2827C22semidirect
62. #2827C22semidirect
63. #2826C22semidirect
64. #2821C22semidirect
65. #2819C22semidirect
67. #2811C22semidirect
68. #2808C22semidirect
69. #2807C22semidirect
70. #2803C22semidirect
71. #2799C22semidirect
72. #2793C22semidirect
73. #2792C22semidirect
74. #2791C22semidirect
75. #2791C22semidirect
76. #2790C22semidirect
77. #2790C22semidirect
78. #2789C22semidirect
79. #2788C22semidirect
80. #2787C22semidirect
81. #2786C22semidirect
82. #2785C22semidirect
83. #2785C22semidirect
84. #2784C22semidirect
87. #2781C22semidirect
88. #2779C22semidirect
89. #2779C22semidirect
91. #2778C22semidirect
92. #2774C22semidirect
93. #2773C22semidirect
94. #2772C22semidirect
95. #2768C22semidirect
96. #2768C22semidirect
97. #2768C22semidirect
98. #2767C22semidirect
99. #2766C22semidirect
102. #2764C22semidirect
103. #2764C22semidirect
104. #2764C22semidirect
106. #2761C22semidirect
107. #2757C22semidirect
109. #2756C22semidirect
110. #2756C22semidirect
111. #2756C22semidirect
112. #2755C22semidirect
113. #2754C22semidirect
114. #2754C22semidirect
115. #2753C22semidirect
116. #2751C22semidirect
117. #2750C22semidirect
119. #2749C22semidirect
120. #2747C22semidirect
121. #2747C22semidirect
123. #2746C22semidirect
124. #2746C22semidirect
125. #2745C22semidirect
126. #2745C22semidirect
127. #2745C22semidirect
131. #2741C22semidirect
132. #2741C22semidirect
133. #2741C22semidirect
134. #2740C22semidirect
135. #2737C22semidirect
136. #2737C22semidirect
139. #2732C22semidirect
141. #2728C22semidirect
142. #2723C22semidirect
143. #2722C22semidirect
144. #2720C22semidirect
145. #2718C22semidirect
148. #2712C22semidirect
155. #2708C22semidirect
156. #2708C22semidirect
161. #2700C22semidirect
164. #2699C22semidirect
167. #2698C22semidirect
168. #2698C22semidirect
169. #2698C22semidirect
171. #2692C22semidirect
174. #2689C22semidirect
182. #2687C22semidirect
183. #2687C22semidirect
184. #2687C22semidirect
187. #2686C22semidirect
191. #2683C22semidirect
193. #2681C22semidirect
199. #2680C22semidirect
200. #2680C22semidirect
202. #2674C22semidirect
208. #2672C22semidirect
211. #2666C22semidirect
212. #2666C22semidirect
213. #2659C22semidirect
214. #2655C22semidirect
215. #2654C22semidirect
216. #2650C22semidirect
217. #2650C22semidirect
218. #2639C22semidirect
219. #2638C22semidirect
220. #2635C22semidirect
221. #2632C22semidirect
222. #2630C22semidirect
225. #2627C22semidirect
226. #2627C22semidirect
230. #2612C22semidirect
231. #2606C22semidirect
232. #2603C22semidirect
233. #2603C22semidirect
234. #2600C22semidirect
235. #2600C22semidirect
236. #2595C22semidirect
237. #2595C22semidirect
238. #2593C22semidirect
239. #2593C22semidirect
240. #2589C22semidirect
241. #2589C22semidirect
242. #2586C22semidirect
243. #2579C22semidirect
244. #2578C22semidirect
245. #2577C22semidirect
246. #2577C22semidirect
247. #2576C22semidirect
248. #2576C22semidirect
251. #2572C22semidirect
252. #2571C22semidirect
253. #2566C22semidirect
254. #2564C22semidirect
255. #2564C22semidirect
258. #2560C22semidirect
259. #2560C22semidirect
260. #2560C22semidirect
264. #2556C22semidirect
270. #2536C22semidirect
271. #2535C22semidirect
272. #2532C22semidirect
273. #2532C22semidirect
274. #2531C22semidirect
275. #2530C22semidirect
276. #2530C22semidirect
277. #2529C22semidirect
280. #2525C22semidirect
282. #2521C22semidirect
283. #2521C22semidirect
284. #2521C22semidirect
285. #2520C22semidirect
286. #2520C22semidirect
295. #2502C22semidirect
296. #2495C22semidirect
297. #2493C22semidirect
298. #2491C22semidirect
299. #2489C22semidirect
301. #2488C22semidirect
302. #2486C22semidirect
306. #2481C22semidirect
309. #2473C22semidirect
311. #2468C22semidirect
312. #2468C22semidirect
313. #2468C22semidirect
314. #2468C22semidirect
315. #2467C22semidirect
319. #2463C22semidirect
320. #2463C22semidirect
322. #2459C22semidirect
327. #2455C22semidirect
328. #2451C22semidirect
329. #2449C22semidirect
330. #2448C22semidirect
332. #2447C22semidirect
337. #2443C22semidirect
338. #2442C22semidirect
340. #2427C22semidirect
344. #2421C22semidirect
345. #2417C22semidirect
346. #2417C22semidirect
359. #2383C22semidirect
360. #2381C22semidirect
361. #2379C22semidirect
362. #2379C22semidirect
363. #2379C22semidirect
364. #2377C22semidirect
365. #2355C22semidirect
366. D4×C4⋊C4C22semidirect
367. #2329C22semidirect
371. #2318C22semidirect
374. C4×#123C22semidirect
377. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#588022
#587872
#587512
#587502
#577222
#567932
#549612
#549582
#548462
#545732
#542362
#540332
#540292
#539712
#512542
#506712
#494542
#487252
#483272
#479182
#468292
#464592
#463532
#461382
#459852
#456602
#456152
#456132
#456032
#369552
#367792
#367402
#367202
#354572
#353942