Finite Group Databasebeta

← #8935659

Subgroups — #8935659

Order 512.

4266 conjugacy classes of subgroups.

The subgroup lattice has 2094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58400C212yesmaximal, complemented
2#58395C212yesmaximal, complemented
3#56071C212yesmaximal, complemented
4#55843C212yesmaximal, complemented
5#55837C212yesmaximal, complemented
6#54296C212yesmaximal, complemented
7#52055C212yesmaximal, complemented
8#51988C212yesmaximal, complemented
9#51670C212yesmaximal, complemented
10#51660C212yesmaximal, complemented
11#50201C212yesmaximal, complemented
12#49455C212yesmaximal, complemented
13#49078C212yesmaximal, complemented
14#48129C212yesmaximal, complemented
15#48052C212yesmaximal, complemented
16#47007C212yesmaximal, complemented
17#46657C212yesmaximal, complemented
18#45099C212yesmaximal, complemented
19#43794C212yesmaximal, complemented
20#43784C212yesmaximal, complemented
21#43131C212yesmaximal, complemented
22#42345C212yesmaximal, complemented
23#41785C212yesmaximal, complemented
24#41507C212yesmaximal, complemented
25#41285C212yesmaximal, complemented
26#40968C212yesmaximal, complemented
27#37956C211yesmaximal, characteristic, complemented
28#37933C211yesmaximal, characteristic, complemented
29#37753C211yesmaximal, characteristic
30#37753C211yesmaximal, characteristic
31#36728C211yesmaximal, characteristic, complemented
32#35967C212yesmaximal, complemented
33#35712C212yesmaximal, complemented
34#35516C211yesmaximal, characteristic
35#35368C211yesmaximal, characteristic, complemented
36C2×#557C2212yescomplemented
37C2×#544C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#520C2211yescharacteristic
41#2848C2211yescharacteristic
42#2848C2211yescharacteristic
43#2838C2212yescomplemented
44#2838C2212yescomplemented
45#2836C2212yescomplemented
46#2836C2212yescomplemented
47#2836C2212yescomplemented
48#2836C2212yescomplemented
49#2831C2212yescomplemented
50#2831C2212yescomplemented
51#2827C2212yes—
52#2814C2212yes—
53#2809C2212yescomplemented
54#2802C2212yescomplemented
55#2802C2212yescomplemented
56#2802C2212yescomplemented
57#2800C2212yescomplemented
58#2800C2212yescomplemented
59#2794C2212yescomplemented
60#2791C2212yescomplemented
61#2791C2212yescomplemented
62#2790C2212yes—
63#2790C2212yescomplemented
64#2790C2212yescomplemented
65#2789C2212yescomplemented
66#2788C2212yes—
67#2788C2212yes—
68#2787C2212yes—
69#2787C2212yes—
70#2786C2212yes—
71#2781C2212yes—
72#2780C2212yes—
73#2780C2212yes—
74#2777C2212yescomplemented
75#2777C2212yescomplemented
76#2776C2212yescomplemented
77#2776C2212yescomplemented
78#2776C2212yescomplemented
79#2775C2212yescomplemented
80#2775C2212yescomplemented
81#2774C2212yescomplemented
82#2773C2212yescomplemented
83#2772C2212yescomplemented
84#2771C2212yescomplemented
85#2770C2212yes—
86#2770C2212yes—
87#2769C2212yescomplemented
88#2769C2212yescomplemented
89#2768C2212yes—
90#2768C2212yes—
91#2768C2212yescomplemented
92#2767C2212yescomplemented
93#2766C2212yescomplemented
94#2765C2212yes—
95#2765C2212yescomplemented
96#2764C2212yes—
97#2761C2212yes—
98#2758C2212yescomplemented
99#2757C2212yes—
100#2757C2212yes—
101#2757C2212yes—
102#2757C2212yes—
103#2755C2212yescomplemented
104#2751C2212yes—
105#2747C2212yes—
106#2747C2212yes—
107#2747C2212yes—
108#2747C2212yes—
109#2746C2212yes—
110#2745C2212yes—
111#2745C2212yescomplemented
112#2744C2212yes—
113#2741C2212yes—
114#2740C2212yes—
115#2738C2212yes—
116#2738C2212yes—
117#2734C2212yescomplemented
118#2734C2212yescomplemented
119#2734C2212yescomplemented
120#2729C2212yes—
121#2729C2212yes—
122#2729C2212yes—
123#2729C2212yes—
124#2726C2212yescomplemented
125#2726C2212yescomplemented
126#2726C2212yescomplemented
127#2724C2212yes—
128#2724C2212yes—
129#2722C2212yes—
130#2722C2212yes—
131#2722C2212yes—
132#2719C2212yescomplemented
133#2719C2212yescomplemented
134#2719C2212yescomplemented
135#2719C2212yescomplemented
136#2718C2212yes—
137#2718C2212yes—
138#2715C2212yes—
139#2715C2212yes—
140#2713C2212yescomplemented
141#2713C2212yescomplemented
142#2711C2212yes—
143#2711C2212yes—
144#2707C2212yes—
145#2707C2212yes—
146#2704C2212yes—
147#2704C2212yes—
148#2704C2212yes—
149#2704C2212yescomplemented
150#2704C2212yescomplemented
151#2698C2212yes—
152#2695C2212yes—
153#2690C2212yes—
154#2690C2212yes—
155#2690C2212yes—
156#2690C2212yescomplemented
157#2690C2212yescomplemented
158#2689C2212yes—
159#2674C2212yes—
160#2674C2212yes—
161#2667C2212yescomplemented
162#2666C2212yescomplemented
163#2663C2212yes—
164#2659C2211yescharacteristic
165#2659C2211yescharacteristic
166#2655C2212yescomplemented
167#2655C2212yescomplemented
168#2655C2212yescomplemented
169#2653C2212yes—
170#2652C2212yes—
171#2652C2212yes—
172#2652C2212yescomplemented
173#2651C2212yescomplemented
174#2651C2212yescomplemented
175#2650C2212yescomplemented
176#2650C2212yescomplemented
177#2646C2211yescharacteristic
178#2646C2211yescharacteristic
179#2639C2211yescharacteristic
180#2639C2211yescharacteristic
181#2634C2212yescomplemented
182#2634C2212yescomplemented
183#2633C2212yes—
184#2633C2212yescomplemented
185#2627C2211yescharacteristic
186#2627C2211yescharacteristic
187#2621C2212yescomplemented
188#2618C2211yescharacteristic
189#2618C2211yescharacteristic
190#2612C2212yescomplemented
191#2611C2212yes—
192#2611C2212yescomplemented
193#2608C2212yescomplemented
194#2606C2212yescomplemented
195#2606C2212yescomplemented
196#2599C2212yes—
197#2599C2212yes—
198#2599C2212yes—
199#2599C2212yescomplemented
200#2597C2212yes—
201#2597C2212yes—
202#2595C2212yes—
203#2590C2212yescomplemented
204#2590C2212yescomplemented
205#2590C2212yescomplemented
206#2590C2212yescomplemented
207#2589C2212yes—
208#2589C2212yescomplemented
209#2587C2212yescomplemented
210#2585C2212yescomplemented
211#2584C2212yescomplemented
212#2580C2212yes—
213#2578C2212yes—
214#2578C2212yes—
215#2577C2212yes—
216#2577C2212yes—
217#2577C2212yescomplemented
218#2577C2212yescomplemented
219#2576C2212yes—
220#2575C2212yes—
221#2574C2212yes—
222#2574C2212yescomplemented
223#2573C2212yescomplemented
224#2569C2212yes—
225#2569C2212yes—
226#2565C2212yescomplemented
227#2561C2212yes—
228#2556C2212yes—
229#2556C2212yes—
230#2553C2212yes—
231#2552C2212yescomplemented
232#2550C2212yescomplemented
233#2547C2212yes—
234#2533C2212yescomplemented
235#2530C2212yes—
236#2528C2212yescomplemented
237#2528C2212yescomplemented
238#2527C2212yes—
239#2527C2212yescomplemented
240#2526C2212yes—
241#2524C2212yescomplemented
242#2524C2212yescomplemented
243#2524C2212yescomplemented
244#2523C2212yes—
245#2522C2212yes—
246#2522C2212yes—
247#2522C2212yescomplemented
248#2522C2212yescomplemented
249#2521C2212yes—
250#2521C2212yes—
251#2517C2212yescomplemented
252#2515C2212yescomplemented
253#2509C2212yescomplemented
254#2507C2212yescomplemented
255#2506C2212yescomplemented
256#2506C2212yescomplemented
257#2505C2212yes—
258#2505C2212yes—
259#2505C2212yes—
260#2505C2212yes—
261#2495C2212yes—
262#2495C2212yes—
263#2494C2212yes—
264#2493C2212yes—
265#2487C2212yes—
266#2486C2212yes—
267#2485C2212yes—
268#2485C2212yes—
269#2482C2212yes—
270#2480C2212yes—
271#2480C2212yes—
272#2480C2212yes—
273#2480C2212yes—
274#2478C2212yes—
275#2478C2212yes—
276#2478C2212yes—
277#2478C2212yes—
278#2475C2212yes—
279#2475C2212yes—
280#2475C2212yes—
281#2475C2212yes—
282#2473C2212yes—
283#2473C2212yes—
284#2473C2212yes—
285#2473C2212yes—
286#2473C2212yes—
287#2473C2212yes—
288#2473C2212yes—
289#2473C2212yescomplemented
290#2473C2212yescomplemented
291#2472C2212yes—
292#2472C2212yes—
293#2470C2212yes—
294#2470C2212yes—
295#2465C2212yes—
296#2465C2212yes—
297#2462C2212yescomplemented
298#2462C2212yescomplemented
299#2460C2212yes—
300#2460C2212yes—
301#2460C2212yes—
302#2460C2212yes—
303#2460C2212yescomplemented
304#2460C2212yescomplemented
305#2453C2212yescomplemented
306#2452C2212yes—
307#2452C2212yes—
308#2451C2212yescomplemented
309#2449C2212yes—
310#2449C2212yes—
311#2446C2212yescomplemented
312#2446C2212yescomplemented
313#2446C2212yescomplemented
314#2446C2212yescomplemented
315#2442C2212yes—
316#2442C2212yes—
317#2441C2212yes—
318#2432C2212yes—
319#2432C2212yes—
320#2423C2212yes—
321#2423C2212yes—
322#2422C2212yes—
323#2421C2212yes—
324#2421C2212yes—
325#2420C2212yes—
326#2419C2212yes—
327#2419C2212yes—
328#2418C2212yes—
329#2418C2212yes—
330#2411C2212yes—
331#2411C2212yes—
332#2401C2212yes—
333#2398C2212yes—
334#2398C2212yescomplemented
335#2396C2212yes—
336#2396C2212yescomplemented
337#2383C2212yes—
338#2382C2212yescomplemented
339#2381C2212yescomplemented
340#2374C2212yes—
341#2374C2212yes—
342#2373C2212yes—
343#2373C2212yes—
344#2370C2212yescomplemented
345#2369C2212yescomplemented
346#2367C2212yes—
347#2367C2212yes—
348#2362C2212yes—
349#2360C2212yes—
350#2360C2212yescomplemented
351#2360C2212yescomplemented
352#2359C2212yes—
353#2359C2212yes—
354#2356C2212yescomplemented
355#2343C2212yes—
356#2335C2212yes—
357#2335C2212yes—
358#2334C2212yes—
359#2329C2211yescharacteristic
360#2329C2211yescharacteristic
361#2329C2211yescharacteristic
362#2329C2211yescharacteristic
363#2329C2211yescharacteristic
364#2329C2211yescharacteristic
365#2323C2212yes—
366#2317C2211yescharacteristic
367#2316C2211yescharacteristic
368#2316C2211yescharacteristic
369#2315C2211yescharacteristic
370#2315C2211yescharacteristic
371#2315C2211yescharacteristic
372#2313C2211yescharacteristic
373#2311C2211yescharacteristic
374C2×#385C2211yescharacteristic
375C2×#385C2211yescharacteristic
376#2280C2211yescharacteristic
377C2×#380C2211yescharacteristic
378#2273C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C24×C4C2311yescharacteristic
381#557—48no—
382#544—44no—
383#544—44no—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407#525—44no—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#120C2312yes—
429#520—44no—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×#117C2311yescharacteristic
442C2×#117C2311yescharacteristic
443C2×#117C2312yes—
444C2×#117C2311yescharacteristic
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2311yescharacteristic
455C22×C22⋊C4C2311yescharacteristic
456C22×C22⋊C4C2311yescharacteristic
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2311yescharacteristic
459C22×C22⋊C4C2311yescharacteristic
460C22×C22⋊C4C2311yescharacteristic
461#401C2312yes—
462#401C2312yes—
463#401C2312yes—
464#401C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#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#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
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#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
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#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
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#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#385C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#384C2312yes—
992#384C2312yes—
993#384C2312yes—
994#383C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#381C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2311yescharacteristic
1021#380C2311yescharacteristic
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2311yescharacteristic
1032#380C2311yescharacteristic
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2311yescharacteristic
1037#380C2312yes—
1038#380C2312yes—
1039#380C2311yescharacteristic
1040#380C2311yescharacteristic
1041#380C2311yescharacteristic
1042#380C2311yescharacteristic
1043#380C2311yescharacteristic
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#379C2312yes—
1049#379C2312yes—
1050#379C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×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—
1094#376C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097C2×#95C2311yescharacteristic
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2311yescharacteristic
1103C25C2411yescharacteristic
1104C2×#41—24no—
1105C2×#41—42no—
1106C2×#41—42no—
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2411yescharacteristic
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C23×C4—42no—
1118C23×C4—42no—
1119C23×C4—42no—
1120C23×C4C2411yescharacteristic
1121C23×C4C2412yes—
1122C23×C4C2411yescharacteristic
1123C23×C4C2411yescharacteristic
1124C23×C4C2411yescharacteristic
1125C23×C4C2411yescharacteristic
1126C23×C4C2411yescharacteristic
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2411yescharacteristic
1130C23×C4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C23×C4C2411yescharacteristic
1133C23×C4C2411yescharacteristic
1134C23×C4C2411yescharacteristic
1135C23×C4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C23×C4C2411yescharacteristic
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2411yescharacteristic
1141C4⋊Q8—28no—
1142C4⋊Q8—28no—
1143C4⋊Q8—44no—
1144C4⋊Q8—44no—
1145C4⋊Q8—44no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#125—44no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—44no—
1156#125—44no—
1157#125—44no—
1158#125—44no—
1159#125—44no—
1160#125—44no—
1161#125—44no—
1162#124—44no—
1163#124—44no—
1164#123—28no—
1165#123—44no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169C22⋊Q8—24no—
1170C22⋊Q8—24no—
1171C22⋊Q8—28no—
1172C22⋊Q8—42no—
1173C22⋊Q8—42no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—44no—
1178C22⋊Q8—42no—
1179C22⋊Q8—42no—
1180C22⋊Q8—42no—
1181C22⋊Q8—42no—
1182#121—42no—
1183#121—42no—
1184#120—44no—
1185C4×Q8—28no—
1186C4×Q8—44no—
1187C4×Q8—44no—
1188C4×Q8—44no—
1189C4×Q8—44no—
1190C4×Q8—44no—
1191C4×D4—44no—
1192C4×D4—44no—
1193C4×D4—44no—
1194C4×D4—44no—
1195C4×D4—44no—
1196#117—42no—
1197#117—44no—
1198#117—44no—
1199#117—44no—
1200#117—44no—
1201#117—42no—
1202#117—42no—
1203C2×C4⋊C4—42no—
1204C2×C4⋊C4—42no—
1205C2×C4⋊C4—42no—
1206C2×C4⋊C4—44no—
1207C2×C4⋊C4—42no—
1208C2×C4⋊C4—42no—
1209C2×C4⋊C4—42no—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2411yescharacteristic
1220C2×C4⋊C4C2411yescharacteristic
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2411yescharacteristic
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2411yescharacteristic
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2411yescharacteristic
1259C2×C4⋊C4C2411yescharacteristic
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C22⋊C4—24no—
1316C2×C22⋊C4—42no—
1317C2×C22⋊C4—42no—
1318C2×C22⋊C4—42no—
1319C2×C22⋊C4—42no—
1320C2×C22⋊C4—42no—
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×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527C24—22no—
1528C24—22no—
1529C24—22no—
1530C24—41no—
1531C24—41no—
1532C24—41no—
1533C24—41no—
1534C24C2512yes—
1535C24C2511yescharacteristic
1536C24C2511yescharacteristic
1537C24C2511yescharacteristic
1538#41—416no—
1539C2×Q8—24no—
1540C2×Q8—24no—
1541C2×Q8—24no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—41no—
1545C2×Q8—41no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—42no—
1550C2×Q8—41no—
1551C2×Q8—41no—
1552C2×Q8—41no—
1553C2×Q8—41no—
1554C2×Q8—41no—
1555C2×Q8—41no—
1556C2×Q8H(5,𝔽2)14yes—
1557C2×D4—24no—
1558C2×D4—24no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—22no—
1562C2×D4—41no—
1563C2×D4—41no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C22×C4—22no—
1570C22×C4—22no—
1571C22×C4—22no—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—22no—
1575C22×C4—22no—
1576C22×C4—24no—
1577C22×C4—24no—
1578C22×C4—22no—
1579C22×C4—22no—
1580C22×C4—22no—
1581C22×C4—22no—
1582C22×C4—41no—
1583C22×C4—41no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—41no—
1587C22×C4—41no—
1588C22×C4—42no—
1589C22×C4—41no—
1590C22×C4—41no—
1591C22×C4—41no—
1592C22×C4—41no—
1593C22×C4—41no—
1594C22×C4—41no—
1595C22×C4—41no—
1596C22×C4—41no—
1597C22×C4—41no—
1598C22×C4—41no—
1599C22×C4—41no—
1600C22×C4—41no—
1601C22×C4—41no—
1602C22×C4—41no—
1603C22×C4—41no—
1604C22×C4—41no—
1605C22×C4—41no—
1606C22×C4—41no—
1607C22×C4—41no—
1608C22×C4—41no—
1609C22×C4—41no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—41no—
1613C22×C4—41no—
1614C22×C4—41no—
1615C22×C4—41no—
1616C22×C4—41no—
1617C22×C4—41no—
1618C22×C4—41no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—41no—
1622C22×C4—41no—
1623C22×C4—41no—
1624C22×C4—41no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—41no—
1628C22×C4—41no—
1629C22×C4—41no—
1630C22×C4—41no—
1631C22×C4—88no—
1632C22×C42−1+414yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2511yescharacteristic
1648C22×C4C2511yescharacteristic
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2511yescharacteristic
1662C22×C4C2512yes—
1663C22×C4C2511yescharacteristic
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—22no—
1671C4⋊C4—22no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—41no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—41no—
1714C4⋊C4—41no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—41no—
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—41no—
1732C4⋊C4—42no—
1733C4⋊C4—41no—
1734C4⋊C4—42no—
1735C4⋊C4—41no—
1736C4⋊C4—41no—
1737C4⋊C4—41no—
1738C4⋊C4—42no—
1739C4⋊C4—41no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊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—
1826C42—24no—
1827C42—24no—
1828C42—24no—
1829C42—24no—
1830C42—24no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C23—28no—
1856C23—21no—
1857C23—21no—
1858C23—21no—
1859C23—21no—
1860C23—21no—
1861C23—21no—
1862C23—21no—
1863C23—21no—
1864C23—21no—
1865C23—21no—
1866C23—21no—
1867C23—21no—
1868C23—21no—
1869C23—21no—
1870C23—21no—
1871C23—21no—
1872C23—21no—
1873C23—21no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—22no—
1880C23—22no—
1881C23—82no—
1882C23—82no—
1883C23—82no—
1884C23—82no—
1885C23—82no—
1886C23—82no—
1887C23C2×2−1+412yes—
1888C23#58512yes—
1889C23#58512yes—
1890C23C2611yescharacteristic
1891Q8—44no—
1892Q8—48no—
1893Q8—84no—
1894Q8—84no—
1895Q8—161no—
1896Q8—161no—
1897D4—48no—
1898D4—44no—
1899D4—84no—
1900D4—84no—
1901C2×C4—28no—
1902C2×C4—22no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—22no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
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—44no—
1992C2×C4—48no—
1993C2×C4—44no—
1994C2×C4—44no—
1995C2×C4—82no—
1996C2×C4—82no—
1997C2×C4—82no—
1998C2×C4—82no—
1999C2×C4—82no—
2000C2×C4—82no—
2001C2×C4—161no—
2002C2×C4—161no—
2003C2×C4—161no—
2004C2×C4—161no—
2005C2×C4—161no—
2006C2×C4—161no—
2007C2×C4—162no—
2008C2×C4—162no—
2009C2×C4—161no—
2010C2×C4—161no—
2011C2×C4C2×H(5,𝔽2)14yes—
2012C2×C4C2×H(5,𝔽2)12yes—
2013C2×C4C2×2−1+414yes—
2014C2×C4#58512yes—
2015C22—22no—
2016C22—22no—
2017C22—22no—
2018C22—22no—
2019C22—22no—
2020C22—22no—
2021C22—22no—
2022C22—22no—
2023C22—22no—
2024C22—41no—
2025C22—41no—
2026C22—41no—
2027C22—41no—
2028C22—41no—
2029C22—41no—
2030C22—41no—
2031C22—41no—
2032C22—41no—
2033C22—41no—
2034C22—41no—
2035C22—41no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—88no—
2044C22C22×H(5,𝔽2)11yescharacteristic
2045C22C22×2−1+411yescharacteristic
2046C22C2×#58511yescharacteristic
2047C22C2×#58511yescharacteristic
2048C22C2×#58511yescharacteristic
2049C222−1+611yescharacteristic
2050C222−1+611yescharacteristic
2051C4—22no—
2052C4—22no—
2053C4—24no—
2054C4—24no—
2055C4—41no—
2056C4—41no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—42no—
2064C4—42no—
2065C4—42no—
2066C4—42no—
2067C4—42no—
2068C4—42no—
2069C4—42no—
2070C4—42no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C2—42no—
2083C2—42no—
2084C2—42no—
2085C2—82no—
2086C2#6282011yescharacteristic
2087C2#6282511yescharacteristic
2088C2#6287311yescharacteristic
2089C2#6289311yescharacteristic
2090C2#6291911yescharacteristic
2091C2#6293211yescharacteristic
2092C2#6293411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58400C2semidirect
2. #58395C2semidirect
3. #56071C2semidirect
4. #55843C2semidirect
5. #55837C2semidirect
6. #54296C2semidirect
7. #52055C2semidirect
8. #51988C2semidirect
9. #51670C2semidirect
10. #51660C2semidirect
11. #50201C2semidirect
12. #49455C2semidirect
13. #49078C2semidirect
14. #48129C2semidirect
15. #48052C2semidirect
16. #47007C2semidirect
17. #46657C2semidirect
18. #45099C2semidirect
19. #43794C2semidirect
20. #43784C2semidirect
21. #43131C2semidirect
22. #42345C2semidirect
23. #41785C2semidirect
24. #41507C2semidirect
25. #41285C2semidirect
26. #40968C2semidirect
27. #37956C2semidirect
28. #37933C2semidirect
31. #36728C2semidirect
32. #35967C2semidirect
33. #35712C2semidirect
35. #35368C2semidirect
36. C2×#557C22semidirect
43. #2838C22semidirect
44. #2838C22semidirect
45. #2836C22semidirect
46. #2836C22semidirect
47. #2836C22semidirect
48. #2836C22semidirect
49. #2831C22semidirect
50. #2831C22semidirect
53. #2809C22semidirect
54. #2802C22semidirect
55. #2802C22semidirect
56. #2802C22semidirect
57. #2800C22semidirect
58. #2800C22semidirect
59. #2794C22semidirect
60. #2791C22semidirect
61. #2791C22semidirect
63. #2790C22semidirect
64. #2790C22semidirect
65. #2789C22semidirect
74. #2777C22semidirect
75. #2777C22semidirect
76. #2776C22semidirect
77. #2776C22semidirect
78. #2776C22semidirect
79. #2775C22semidirect
80. #2775C22semidirect
81. #2774C22semidirect
82. #2773C22semidirect
83. #2772C22semidirect
84. #2771C22semidirect
87. #2769C22semidirect
88. #2769C22semidirect
91. #2768C22semidirect
92. #2767C22semidirect
93. #2766C22semidirect
95. #2765C22semidirect
98. #2758C22semidirect
103. #2755C22semidirect
111. #2745C22semidirect
117. #2734C22semidirect
118. #2734C22semidirect
119. #2734C22semidirect
124. #2726C22semidirect
125. #2726C22semidirect
126. #2726C22semidirect
132. #2719C22semidirect
133. #2719C22semidirect
134. #2719C22semidirect
135. #2719C22semidirect
140. #2713C22semidirect
141. #2713C22semidirect
149. #2704C22semidirect
150. #2704C22semidirect
156. #2690C22semidirect
157. #2690C22semidirect
161. #2667C22semidirect
162. #2666C22semidirect
166. #2655C22semidirect
167. #2655C22semidirect
168. #2655C22semidirect
172. #2652C22semidirect
173. #2651C22semidirect
174. #2651C22semidirect
175. #2650C22semidirect
176. #2650C22semidirect
181. #2634C22semidirect
182. #2634C22semidirect
184. #2633C22semidirect
187. #2621C22semidirect
190. #2612C22semidirect
192. #2611C22semidirect
193. #2608C22semidirect
194. #2606C22semidirect
195. #2606C22semidirect
199. #2599C22semidirect
203. #2590C22semidirect
204. #2590C22semidirect
205. #2590C22semidirect
206. #2590C22semidirect
208. #2589C22semidirect
209. #2587C22semidirect
210. #2585C22semidirect
211. #2584C22semidirect
217. #2577C22semidirect
218. #2577C22semidirect
222. #2574C22semidirect
223. #2573C22semidirect
226. #2565C22semidirect
231. #2552C22semidirect
232. #2550C22semidirect
234. #2533C22semidirect
236. #2528C22semidirect
237. #2528C22semidirect
239. #2527C22semidirect
241. #2524C22semidirect
242. #2524C22semidirect
243. #2524C22semidirect
247. #2522C22semidirect
248. #2522C22semidirect
251. #2517C22semidirect
252. #2515C22semidirect
253. #2509C22semidirect
254. #2507C22semidirect
255. #2506C22semidirect
256. #2506C22semidirect
289. #2473C22semidirect
290. #2473C22semidirect
297. #2462C22semidirect
298. #2462C22semidirect
303. #2460C22semidirect
304. #2460C22semidirect
305. #2453C22semidirect
308. #2451C22semidirect
311. #2446C22semidirect
312. #2446C22semidirect
313. #2446C22semidirect
314. #2446C22semidirect
334. #2398C22semidirect
336. #2396C22semidirect
338. #2382C22semidirect
339. #2381C22semidirect
344. #2370C22semidirect
345. #2369C22semidirect
350. #2360C22semidirect
351. #2360C22semidirect
354. #2356C22semidirect

Maximal subgroups

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

subgroupindex
#584002
#583952
#560712
#558432
#558372
#542962
#520552
#519882
#516702
#516602
#502012
#494552
#490782
#481292
#480522
#470072
#466572
#450992
#437942
#437842
#431312
#423452
#417852
#415072
#412852
#409682
#379562
#379332
#377532
#367282
#359672
#357122
#355162
#353682