Finite Group Databasebeta

← #8934665

Subgroups — #8934665

Order 512.

4360 conjugacy classes of subgroups.

The subgroup lattice has 2071 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59982C212yesmaximal, complemented
2#59982C212yesmaximal, complemented
3#59962C212yesmaximal, complemented
4#59927C212yesmaximal, complemented
5#59912C212yesmaximal, complemented
6#59292C212yesmaximal, complemented
7#52077C212yesmaximal, complemented
8#52075C211yesmaximal, characteristic
9#51862C212yesmaximal, complemented
10#51603C212yesmaximal, complemented
11#51572C212yesmaximal, complemented
12#51562C212yesmaximal, complemented
13#51542C211yesmaximal, characteristic, complemented
14#51540C212yesmaximal, complemented
15#51486C212yesmaximal, complemented
16#51393C212yesmaximal, complemented
17#50983C212yesmaximal, complemented
18#50389C212yesmaximal, complemented
19#50338C212yesmaximal, complemented
20#50264C212yesmaximal, complemented
21#50200C211yesmaximal, characteristic, complemented
22#49953C212yesmaximal, complemented
23#49703C211yesmaximal, characteristic
24#49670C212yesmaximal, complemented
25#49139C212yesmaximal, complemented
26#48856C212yesmaximal, complemented
27#47639C212yesmaximal, complemented
28#47618C212yesmaximal, complemented
29#47608C212yesmaximal, complemented
30#35673C211yesmaximal, characteristic, complemented
31#35671C212yesmaximal, complemented
32#35596C212yesmaximal, complemented
33#35579C212yesmaximal, complemented
34#35440C211yesmaximal, characteristic, complemented
35#35430C211yesmaximal, characteristic
36C2×#563C2211yescharacteristic
37C2×#563C2211yescharacteristic
38C2×#541C2212yes—
39C2×#536C2211yescharacteristic
40C2×#519C2211yescharacteristic
41#2836C2212yes—
42#2806C2212yes—
43#2806C2212yes—
44#2805C2212yes—
45#2802C2212yes—
46#2802C2212yes—
47#2802C2212yes—
48#2800C2212yes—
49#2800C2212yes—
50#2795C2212yes—
51#2793C2212yes—
52#2793C2212yes—
53#2792C2212yes—
54#2791C2212yes—
55#2788C2212yes—
56#2786C2212yes—
57#2786C2212yes—
58#2783C2212yes—
59#2783C2212yes—
60#2781C2212yes—
61#2781C2212yes—
62#2774C2212yes—
63#2774C2212yes—
64#2773C2212yes—
65#2772C2212yes—
66#2772C2212yes—
67#2772C2212yes—
68#2772C2212yes—
69#2768C2212yes—
70#2768C2212yes—
71#2768C2212yes—
72#2767C2212yes—
73#2755C2212yes—
74#2755C2212yes—
75#2748C2211yescharacteristic
76#2747C2212yes—
77#2747C2212yes—
78#2744C2212yes—
79#2744C2212yes—
80#2741C2212yes—
81#2741C2212yes—
82#2741C2212yes—
83#2740C2212yes—
84#2739C2212yes—
85#2734C2212yes—
86#2734C2211yescharacteristic
87#2732C2212yes—
88#2731C2211yescharacteristic
89#2730C2212yes—
90#2730C2212yes—
91#2729C2212yes—
92#2728C2212yes—
93#2727C2212yes—
94#2726C2212yes—
95#2726C2212yes—
96#2726C2212yes—
97#2725C2212yes—
98#2725C2212yes—
99#2725C2212yes—
100#2722C2212yes—
101#2722C2212yes—
102#2721C2212yes—
103#2721C2212yes—
104#2719C2212yes—
105#2719C2212yes—
106#2717C2211yescharacteristic
107#2717C2211yescharacteristic
108#2717C2211yescharacteristic
109#2715C2212yes—
110#2715C2212yes—
111#2713C2212yes—
112#2709C2211yescharacteristic
113#2707C2212yes—
114#2707C2212yes—
115#2707C2212yes—
116#2705C2212yes—
117#2705C2212yes—
118#2704C2212yes—
119#2704C2212yes—
120#2704C2212yes—
121#2704C2212yes—
122#2704C2212yes—
123#2702C2212yes—
124#2698C2212yes—
125#2698C2212yes—
126#2695C2212yes—
127#2694C2212yes—
128#2694C2212yes—
129#2694C2212yes—
130#2694C2212yes—
131#2690C2212yes—
132#2683C2212yes—
133#2683C2211yescharacteristic
134#2681C2212yes—
135#2680C2212yes—
136#2680C2212yes—
137#2672C2212yes—
138#2664C2212yes—
139#2664C2212yes—
140#2663C2212yes—
141#2662C2212yes—
142#2660C2212yes—
143#2659C2212yes—
144#2654C2212yes—
145#2654C2212yes—
146#2649C2212yes—
147#2647C2212yes—
148#2630C2212yes—
149#2629C2212yes—
150#2612C2212yes—
151#2612C2212yes—
152#2612C2212yes—
153#2612C2212yes—
154#2611C2212yes—
155#2611C2212yes—
156#2611C2212yes—
157#2611C2212yes—
158#2609C2212yes—
159#2609C2212yes—
160#2608C2211yescharacteristic
161#2608C2211yescharacteristic
162#2604C2212yes—
163#2604C2212yes—
164#2601C2212yes—
165#2601C2212yes—
166#2601C2212yes—
167#2601C2212yes—
168#2601C2212yes—
169#2601C2212yes—
170#2601C2212yes—
171#2597C2212yes—
172#2597C2212yes—
173#2591C2211yescharacteristic
174#2590C2212yes—
175#2590C2212yes—
176#2589C2212yes—
177#2588C2212yes—
178#2588C2212yes—
179#2588C2212yes—
180#2588C2212yes—
181#2588C2212yes—
182#2588C2212yes—
183#2587C2212yes—
184#2587C2212yes—
185#2586C2212yes—
186#2586C2212yes—
187#2586C2212yes—
188#2585C2212yes—
189#2585C2212yes—
190#2585C2212yes—
191#2585C2212yes—
192#2585C2212yes—
193#2585C2212yes—
194#2585C2212yes—
195#2584C2212yes—
196#2584C2212yes—
197#2583C2211yescharacteristic
198#2574C2212yes—
199#2570C2212yes—
200#2560C2212yes—
201#2560C2212yes—
202#2558C2212yes—
203#2556C2212yes—
204#2556C2212yes—
205#2556C2212yes—
206#2556C2212yes—
207#2556C2212yes—
208#2554C2212yes—
209#2553C2212yes—
210#2553C2212yes—
211#2553C2212yes—
212#2553C2212yes—
213#2552C2212yes—
214#2552C2212yes—
215#2550C2212yes—
216#2550C2212yes—
217#2549C2212yes—
218#2531C2212yes—
219#2531C2212yes—
220#2531C2212yes—
221#2531C2212yes—
222#2530C2212yes—
223#2530C2212yes—
224#2529C2212yes—
225#2529C2212yes—
226#2529C2212yes—
227#2529C2212yes—
228#2529C2212yes—
229#2529C2212yes—
230#2522C2212yes—
231#2522C2212yes—
232#2521C2212yes—
233#2520C2212yes—
234#2519C2212yes—
235#2519C2212yes—
236#2519C2212yes—
237#2519C2212yes—
238#2516C2212yes—
239#2513C2212yes—
240#2512C2212yes—
241#2511C2212yes—
242#2508C2212yes—
243#2508C2212yes—
244#2508C2212yes—
245#2507C2212yes—
246#2507C2212yes—
247#2506C2212yes—
248#2505C2212yes—
249#2499C2212yes—
250#2499C2212yes—
251#2498C2212yes—
252#2498C2212yes—
253#2498C2212yes—
254#2498C2212yes—
255#2498C2212yes—
256#2498C2212yes—
257#2497C2212yes—
258#2496C2212yes—
259#2496C2212yes—
260#2492C2212yes—
261#2485C2212yes—
262#2485C2212yes—
263#2485C2212yes—
264#2479C2212yes—
265#2479C2212yes—
266#2475C2212yes—
267#2475C2212yes—
268#2474C2212yes—
269#2474C2212yes—
270#2473C2212yes—
271#2471C2212yes—
272#2471C2212yes—
273#2470C2212yes—
274#2469C2212yes—
275#2469C2212yes—
276#2469C2212yes—
277#2462C2212yes—
278#2462C2212yes—
279#2462C2212yes—
280#2462C2212yes—
281#2462C2212yes—
282#2461C2212yes—
283#2461C2212yes—
284#2457C2212yes—
285#2454C2212yes—
286#2454C2212yes—
287#2453C2212yes—
288#2450C2212yes—
289#2449C2212yes—
290#2448C2212yes—
291#2448C2212yes—
292#2448C2212yes—
293#2446C2212yes—
294#2446C2212yes—
295#2446C2212yes—
296#2445C2212yes—
297#2445C2212yes—
298#2442C2212yes—
299#2441C2212yes—
300#2441C2212yes—
301#2441C2212yes—
302#2441C2212yes—
303#2441C2212yes—
304#2440C2212yes—
305#2440C2212yes—
306#2438C2212yes—
307#2438C2212yes—
308#2434C2212yes—
309#2432C2211yescharacteristic
310#2431C2211yescharacteristic
311#2429C2212yes—
312#2423C2212yes—
313#2423C2212yes—
314#2423C2212yes—
315#2423C2212yes—
316#2423C2212yes—
317#2421C2212yes—
318#2421C2212yes—
319#2421C2212yes—
320#2417C2212yes—
321#2415C2212yes—
322#2409C2212yes—
323#2406C2211yescharacteristic
324#2406C2211yescharacteristic
325#2382C2212yes—
326#2382C2212yes—
327#2376C2211yescharacteristic
328#2376C2211yescharacteristic
329#2376C2212yes—
330#2376C2212yes—
331#2372C2211yescharacteristic
332#2372C2211yescharacteristic
333#2372C2212yes—
334#2371C2212yes—
335#2371C2212yes—
336#2371C2212yes—
337#2370C2212yes—
338#2370C2212yes—
339#2369C2212yes—
340#2369C2211yescharacteristic
341#2368C2212yes—
342#2368C2212yes—
343#2366C2211yescharacteristic
344#2359C2212yes—
345#2359C2212yes—
346#2359C2212yes—
347#2354C2212yes—
348#2349C2212yes—
349#2346C2212yes—
350#2346C2212yes—
351#2335C2212yes—
352#2334C2212yes—
353#2333C2211yescharacteristic
354#2332C2211yescharacteristic
355#2330C2212yes—
356#2330C2212yes—
357#2323C2212yes—
358#2323C2212yes—
359#2323C2212yes—
360#2323C2212yes—
361#2316C2211yescharacteristic
362#2314C2212yes—
363#2314C2212yes—
364#2311C2211yescharacteristic
365C4×C4⋊Q8C2212yes—
366C4×#125C2212yes—
367C4×#123C2212yes—
368#2298C2212yes—
369#2297C2211yescharacteristic
370#2296C2212yes—
371#2295C2212yes—
372#2295C2212yes—
373C2×#391C2211yescharacteristic
374#2293C2212yes—
375#2293C2212yes—
376#2285C2211yescharacteristic
377#2274C2211yescharacteristic
378#2274C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381#563—44no—
382#563—44no—
383#541—48no—
384#536—44no—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2311yescharacteristic
389C2×C4⋊Q8C2311yescharacteristic
390C2×#127C2311yescharacteristic
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#124C2311yescharacteristic
414C2×#124C2312yes—
415C2×#124C2311yescharacteristic
416C2×#124C2311yescharacteristic
417C2×#124C2311yescharacteristic
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2311yescharacteristic
422C2×#123C2311yescharacteristic
423C2×#123C2311yescharacteristic
424C2×#123C2311yescharacteristic
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×#121C2311yescharacteristic
442#519—44no—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×#117C2312yes—
454C2×#117C2311yescharacteristic
455C2×#117C2312yes—
456C2×#117C2311yescharacteristic
457C2×#117C2311yescharacteristic
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C22×C4⋊C4C2311yescharacteristic
466C22×C4⋊C4C2311yescharacteristic
467C22×C4⋊C4C2311yescharacteristic
468C22×C42C2311yescharacteristic
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#399C2312yes—
498#399C2312yes—
499#399C2312yes—
500#399C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
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#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#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#392C2312yes—
660#392C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2311yescharacteristic
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2311yescharacteristic
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2312yes—
688#390C2312yes—
689#390C2312yes—
690#390C2312yes—
691#390C2311yescharacteristic
692#390C2312yes—
693#390C2312yes—
694#390C2312yes—
695#390C2312yes—
696#390C2312yes—
697#390C2311yescharacteristic
698#390C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
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#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
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#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#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#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2311yescharacteristic
948#386C2311yescharacteristic
949#386C2311yescharacteristic
950#386C2311yescharacteristic
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2311yescharacteristic
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2311yescharacteristic
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2311yescharacteristic
966#386C2311yescharacteristic
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#384C2312yes—
994#384C2312yes—
995#384C2312yes—
996#384C2312yes—
997#384C2312yes—
998#384C2312yes—
999#384C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#381C2311yescharacteristic
1013#381C2311yescharacteristic
1014#381C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
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×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C22⋊C4C2311yescharacteristic
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2311yescharacteristic
1077C4×C22⋊C4C2311yescharacteristic
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2311yescharacteristic
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2311yescharacteristic
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2311yescharacteristic
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C43C2312yes—
1103C2×#41—42no—
1104C2×#41—42no—
1105C2×#41—42no—
1106C22×Q8—24no—
1107C22×Q8—42no—
1108C22×Q8—42no—
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2411yescharacteristic
1115C22×Q8C2411yescharacteristic
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2411yescharacteristic
1119C22×D4C2411yescharacteristic
1120C22×D4C2411yescharacteristic
1121C22×D4C2411yescharacteristic
1122C22×D4C2412yes—
1123C23×C4C2411yescharacteristic
1124C23×C4C2411yescharacteristic
1125C23×C4C2411yescharacteristic
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2411yescharacteristic
1129C23×C4C2411yescharacteristic
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2411yescharacteristic
1135C23×C4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C4⋊Q8—24no—
1138C4⋊Q8—28no—
1139C4⋊Q8—42no—
1140C4⋊Q8—44no—
1141C4⋊Q8—42no—
1142#127—42no—
1143#126—44no—
1144#126—44no—
1145#126—44no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#126—44no—
1152#125—28no—
1153#125—28no—
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#125—44no—
1163#125—44no—
1164#125—44no—
1165#124—24no—
1166#124—42no—
1167#124—42no—
1168#124—44no—
1169#124—42no—
1170#123—28no—
1171#123—28no—
1172#123—42no—
1173#123—42no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—42no—
1179#123—42no—
1180C22⋊Q8—28no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—42no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193#121—42no—
1194C4×Q8—28no—
1195C4×Q8—44no—
1196C4×Q8—44no—
1197C4×Q8—44no—
1198C4×Q8—44no—
1199C4×Q8—44no—
1200C4×D4—44no—
1201C4×D4—44no—
1202C4×D4—44no—
1203C4×D4—44no—
1204#117—28no—
1205#117—44no—
1206#117—44no—
1207#117—44no—
1208#117—42no—
1209#117—42no—
1210#117—44no—
1211#117—44no—
1212#117—44no—
1213#117—44no—
1214#117—44no—
1215#117—42no—
1216C2×C4⋊C4—42no—
1217C2×C4⋊C4—42no—
1218C2×C4⋊C4—42no—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊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⋊C4C2411yescharacteristic
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1375C2×C22⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2411yescharacteristic
1379C2×C22⋊C4C2411yescharacteristic
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C42—42no—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2411yescharacteristic
1393C2×C42C2411yescharacteristic
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2411yescharacteristic
1400C2×C42C2411yescharacteristic
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2411yescharacteristic
1416C2×C42C2411yescharacteristic
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2411yescharacteristic
1422C2×C42C2411yescharacteristic
1423C2×C42C2412yes—
1424C2×C42C2411yescharacteristic
1425C2×C42C2411yescharacteristic
1426C2×C42C2412yes—
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—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535C24C2512yes—
1536C24C2511yescharacteristic
1537C24C2511yescharacteristic
1538C24C2511yescharacteristic
1539#41—88no—
1540C2×Q8—24no—
1541C2×Q8—22no—
1542C2×Q8—24no—
1543C2×Q8—22no—
1544C2×Q8—24no—
1545C2×Q8—24no—
1546C2×Q8—42no—
1547C2×Q8—41no—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×Q8—42no—
1555C2×Q8—41no—
1556C2×Q8—41no—
1557C2×Q8—41no—
1558C2×Q8—41no—
1559C2×Q8—41no—
1560C2×Q8—416no—
1561C2×Q8H(5,𝔽2)14yes—
1562C2×D4—24no—
1563C2×D4—22no—
1564C2×D4—22no—
1565C2×D4—22no—
1566C2×D4—24no—
1567C2×D4—24no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—41no—
1571C2×D4—41no—
1572C2×D4—42no—
1573C2×D4—41no—
1574C2×D4—41no—
1575C2×D4—41no—
1576C2×D4—41no—
1577C2×D4—42no—
1578C2×D4—41no—
1579C2×D4—41no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—41no—
1583C22×C4—22no—
1584C22×C4—22no—
1585C22×C4—22no—
1586C22×C4—24no—
1587C22×C4—24no—
1588C22×C4—24no—
1589C22×C4—24no—
1590C22×C4—24no—
1591C22×C4—24no—
1592C22×C4—24no—
1593C22×C4—24no—
1594C22×C4—22no—
1595C22×C4—22no—
1596C22×C4—24no—
1597C22×C4—41no—
1598C22×C4—41no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—41no—
1606C22×C4—41no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—41no—
1610C22×C4—41no—
1611C22×C4—41no—
1612C22×C4—41no—
1613C22×C4—41no—
1614C22×C4—41no—
1615C22×C4—42no—
1616C22×C4—41no—
1617C22×C4—41no—
1618C22×C4—42no—
1619C22×C4—41no—
1620C22×C4—41no—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2511yescharacteristic
1628C22×C4C2511yescharacteristic
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
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×C4C2511yescharacteristic
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2511yescharacteristic
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—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—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
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—41no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—41no—
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—42no—
1733C4⋊C4—42no—
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—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C42−1+418yes—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—41no—
1783C22⋊C4—42no—
1784C22⋊C4—41no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—41no—
1808C22⋊C4—42no—
1809C22⋊C4—41no—
1810C22⋊C4—42no—
1811C22⋊C4—41no—
1812C22⋊C4—41no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C42—24no—
1819C42—24no—
1820C42—24no—
1821C42—22no—
1822C42—22no—
1823C42—24no—
1824C42—24no—
1825C42—24no—
1826C42—24no—
1827C42—24no—
1828C42—24no—
1829C42—24no—
1830C42—24no—
1831C42—41no—
1832C42—42no—
1833C42—41no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—41no—
1839C42—41no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—41no—
1851C42—42no—
1852C42—41no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—41no—
1857C42—41no—
1858C42—42no—
1859C23—21no—
1860C23—22no—
1861C23—22no—
1862C23—21no—
1863C23—22no—
1864C23—21no—
1865C23—21no—
1866C23—22no—
1867C23—22no—
1868C23—22no—
1869C23—22no—
1870C23—22no—
1871C23—22no—
1872C23—22no—
1873C23—22no—
1874C23—22no—
1875C23—21no—
1876C23—21no—
1877C23—22no—
1878C23—21no—
1879C23—21no—
1880C23#58512yes—
1881C23C2611yescharacteristic
1882Q8—44no—
1883Q8—48no—
1884Q8—44no—
1885Q8—84no—
1886Q8—84no—
1887Q8—82no—
1888Q8—161no—
1889D4—48no—
1890D4—84no—
1891D4—82no—
1892D4—82no—
1893D4—82no—
1894D4—161no—
1895D4—162no—
1896C2×C4—28no—
1897C2×C4—21no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—21no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—21no—
1925C2×C4—21no—
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—22no—
1969C2×C4—22no—
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—21no—
1982C2×C4—21no—
1983C2×C4—44no—
1984C2×C4—44no—
1985C2×C4—48no—
1986C2×C4—48no—
1987C2×C4—84no—
1988C2×C4—84no—
1989C2×C4—84no—
1990C2×C4—82no—
1991C2×C4—82no—
1992C2×C4—161no—
1993C2×C4—161no—
1994C2×C4—161no—
1995C2×C4—161no—
1996C2×C4C2×H(5,𝔽2)12yes—
1997C2×C4C2×H(5,𝔽2)14yes—
1998C2×C4C2×2−1+414yes—
1999C2×C4C2×2−1+414yes—
2000C2×C4C2×2−1+414yes—
2001C2×C4#58514yes—
2002C2×C4#58512yes—
2003C22—24no—
2004C22—22no—
2005C22—42no—
2006C22—41no—
2007C22—41no—
2008C22—42no—
2009C22—42no—
2010C22—42no—
2011C22—42no—
2012C22—42no—
2013C22—42no—
2014C22—42no—
2015C22—42no—
2016C22—41no—
2017C22—41no—
2018C22—42no—
2019C22—41no—
2020C22—42no—
2021C22—41no—
2022C22—41no—
2023C22—41no—
2024C22—42no—
2025C22C22×H(5,𝔽2)11yescharacteristic
2026C22C22×2−1+412yes—
2027C22C2×#58511yescharacteristic
2028C22C2×#58512yes—
2029C22C2×#58511yescharacteristic
2030C4—24no—
2031C4—24no—
2032C4—22no—
2033C4—22no—
2034C4—24no—
2035C4—24no—
2036C4—24no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C4—42no—
2046C4—42no—
2047C4—42no—
2048C4—42no—
2049C4—42no—
2050C4—42no—
2051C4—42no—
2052C4—41no—
2053C4—41no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C2—42no—
2062C2—82no—
2063C2—81no—
2064C2—81no—
2065C2#6282011yescharacteristic
2066C2#6282911yescharacteristic
2067C2#6283711yescharacteristic
2068C2#6302312yes—
2069C2#6303912yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2431C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59982C2semidirect
2. #59982C2semidirect
3. #59962C2semidirect
4. #59927C2semidirect
5. #59912C2semidirect
6. #59292C2semidirect
7. #52077C2semidirect
9. #51862C2semidirect
10. #51603C2semidirect
11. #51572C2semidirect
12. #51562C2semidirect
13. #51542C2semidirect
14. #51540C2semidirect
15. #51486C2semidirect
16. #51393C2semidirect
17. #50983C2semidirect
18. #50389C2semidirect
19. #50338C2semidirect
20. #50264C2semidirect
21. #50200C2semidirect
22. #49953C2semidirect
24. #49670C2semidirect
25. #49139C2semidirect
26. #48856C2semidirect
27. #47639C2semidirect
28. #47618C2semidirect
29. #47608C2semidirect
30. #35673C2semidirect
31. #35671C2semidirect
32. #35596C2semidirect
33. #35579C2semidirect
34. #35440C2semidirect

Maximal subgroups

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

subgroupindex
#599822
#599622
#599272
#599122
#592922
#520772
#520752
#518622
#516032
#515722
#515622
#515422
#515402
#514862
#513932
#509832
#503892
#503382
#502642
#502002
#499532
#497032
#496702
#491392
#488562
#476392
#476182
#476082
#356732
#356712
#355962
#355792
#354402
#354302