Finite Group Databasebeta

← #7657981

Subgroups — #7657981

Order 512.

4226 conjugacy classes of subgroups.

The subgroup lattice has 1581 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42672C212yesmaximal, complemented
2#42670C212yesmaximal, complemented
3#42452C212yesmaximal, complemented
4#42451C212yesmaximal, complemented
5#41687C214yesmaximal, complemented
6#41676C214yesmaximal, complemented
7#41641C214yesmaximal, complemented
8#41630C214yesmaximal, complemented
9#39809C212yesmaximal, complemented
10#39762C211yesmaximal, characteristic, complemented
11#39682C212yesmaximal, complemented
12#39633C211yesmaximal, characteristic, complemented
13#38977C211yesmaximal, characteristic, complemented
14#38976C211yesmaximal, characteristic, complemented
15#38241C212yesmaximal, complemented
16#38239C212yesmaximal, complemented
17#37641C211yesmaximal, characteristic, complemented
18#37622C211yesmaximal, characteristic
19#37526C212yesmaximal, complemented
20#37521C212yesmaximal
21#36590C211yesmaximal, characteristic, complemented
22#36563C211yesmaximal, characteristic, complemented
23#36312C211yesmaximal, characteristic, complemented
24#36285C211yesmaximal, characteristic, complemented
25#35819C212yesmaximal, complemented
26#35818C212yesmaximal, complemented
27#35804C212yesmaximal, complemented
28#35803C212yesmaximal, complemented
29#35294C211yesmaximal, characteristic, complemented
30#35269C212yesmaximal
31#34631C211yesmaximal, characteristic
32#34629C212yesmaximal, complemented
33#34243C211yesmaximal, characteristic
34#34213C211yesmaximal, characteristic, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×#533C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2868C2211yescharacteristic
40#2863C2212yes—
41#2861C2212yes—
42#2860C2212yes—
43#2859C2212yes—
44#2859C2211yescharacteristic
45#2859C2211yescharacteristic
46#2859C2211yescharacteristic
47#2838C2214yes—
48#2836C2214yes—
49#2835C2214yes—
50#2834C2214yes—
51#2822C2214yes—
52#2814C2214yes—
53#2807C2214yes—
54#2805C2214yes—
55#2802C2214yes—
56#2798C2214yes—
57#2790C2214yes—
58#2789C2214yes—
59#2787C2214yes—
60#2776C2214yes—
61#2776C2214yes—
62#2776C2214yes—
63#2773C2214yes—
64#2771C2214yes—
65#2766C2214yes—
66#2765C2214yes—
67#2762C2214yes—
68#2759C2214yes—
69#2755C2214yes—
70#2739C2214yes—
71#2729C2214yes—
72#2726C2214yes—
73#2719C2214yes—
74#2716C2214yes—
75#2713C2214yes—
76#2689C2214yes—
77#2666C2214yes—
78#2666C2214yes—
79#2664C2212yes—
80#2664C2212yes—
81#2664C2214yes—
82#2663C2212yes—
83#2663C2212yes—
84#2660C2211yescharacteristic
85#2658C2211yescharacteristic
86#2655C2214yes—
87#2655C2214yes—
88#2655C2214yes—
89#2655C2214yes—
90#2653C2214yes—
91#2652C2214yes—
92#2652C2214yes—
93#2649C2214yes—
94#2647C2212yes—
95#2645C2212yes—
96#2645C2212yes—
97#2642C2212yes—
98#2642C2211yescharacteristic
99#2640C2211yescharacteristic
100#2638C2214yes—
101#2633C2214yes—
102#2629C2212yes—
103#2628C2212yes—
104#2628C2212yes—
105#2625C2212yes—
106#2625C2212yes—
107#2625C2212yes—
108#2625C2212yes—
109#2625C2212yes—
110#2624C2212yes—
111#2621C2214yes—
112#2621C2211yescharacteristic
113#2621C2211yescharacteristic
114#2621C2212yes—
115#2620C2211yescharacteristic
116#2620C2211yescharacteristic
117#2606C2214yes—
118#2605C2214yes—
119#2596C2214yes—
120#2596C2214yes—
121#2594C2214yes—
122#2594C2214yes—
123#2592C2212yes—
124#2590C2214yes—
125#2590C2214yes—
126#2589C2214yes—
127#2584C2212yes—
128#2582C2211yescharacteristic
129#2582C2211yescharacteristic
130#2582C2211yescharacteristic
131#2582C2211yescharacteristic
132#2582C2211yescharacteristic
133#2582C2211yescharacteristic
134#2575C2214yes—
135#2573C2214yes—
136#2570C2212yes—
137#2570C2212yes—
138#2570C2212yes—
139#2568C2212yes—
140#2568C2212yes—
141#2567C2212yes—
142#2565C2212yes—
143#2556C2214yes—
144#2552C2212yes—
145#2550C2214yes—
146#2550C2214yes—
147#2550C2212yes—
148#2550C2212yes—
149#2546C2212yes—
150#2546C2212yes—
151#2538C2211yescharacteristic
152#2538C2211yescharacteristic
153#2533C2214yes—
154#2532C2214yes—
155#2529C2214yes—
156#2527C2214yes—
157#2525C2214yes—
158#2525C2214yes—
159#2524C2214yes—
160#2523C2214yes—
161#2522C2214yes—
162#2520C2214yes—
163#2519C2214yes—
164#2519C2214yes—
165#2518C2214yes—
166#2518C2214yes—
167#2517C2214yes—
168#2515C2214yes—
169#2514C2212yes—
170#2514C2212yes—
171#2514C2212yes—
172#2514C2212yes—
173#2514C2212yes—
174#2514C2212yes—
175#2514C2214yes—
176#2513C2212yes—
177#2511C2212yes—
178#2509C2212yes—
179#2509C2212yes—
180#2508C2212yes—
181#2508C2212yes—
182#2508C2214yes—
183#2508C2212yes—
184#2507C2212yes—
185#2507C2214yes—
186#2506C2212yes—
187#2506C2212yes—
188#2503C2212yes—
189#2502C2212yes—
190#2497C2212yes—
191#2496C2212yes—
192#2494C2212yes—
193#2494C2212yes—
194#2492C2214yes—
195#2492C2212yes—
196#2489C2212yes—
197#2466C2214yes—
198#2460C2214yes—
199#2452C2212yes—
200#2451C2212yes—
201#2451C2212yes—
202#2451C2212yes—
203#2448C2212yes—
204#2447C2212yes—
205#2446C2212yes—
206#2446C2212yes—
207#2442C2212yes—
208#2441C2212yes—
209#2441C2212yes—
210#2440C2212yes—
211#2439C2212yes—
212#2439C2212yes—
213#2423C2212yes—
214#2421C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2402C2214yes—
218#2402C2214yes—
219#2401C2214yes—
220#2401C2214yes—
221#2396C2212yes—
222#2396C2212yes—
223#2395C2212yes—
224#2395C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2214yes—
229#2370C2212yes—
230#2369C2212yes—
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2369C2212yes—
234#2368C2212yes—
235#2368C2212yes—
236#2367C2212yes—
237#2365C2212yes—
238#2365C2211yescharacteristic
239#2365C2211yescharacteristic
240#2362C2212yes—
241#2362C2212yes—
242#2360C2211yescharacteristic
243#2360C2211yescharacteristic
244#2360C2211yescharacteristic
245#2360C2211yescharacteristic
246#2359C2214yes—
247#2356C2212yes—
248#2355C2211yescharacteristic
249#2355C2211yescharacteristic
250#2355C2212yes—
251#2355C2211yescharacteristic
252#2355C2212yes—
253#2355C2212yes—
254#2354C2211yescharacteristic
255#2352C2212yes—
256Q8×C4⋊C4C2211yescharacteristic
257Q8×C4⋊C4C2211yescharacteristic
258Q8×C4⋊C4C2211yescharacteristic
259D4×C4⋊C4C2211yescharacteristic
260D4×C4⋊C4C2212yes—
261#2347C2212yes—
262#2346C2212yes—
263#2334C2214yes—
264#2331C2212yes—
265#2330C2212yes—
266#2330C2212yes—
267#2329C2214yes—
268#2326C2212yes—
269#2320C2212yes—
270#2319C2212yes—
271#2317C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×#125C2212yes—
277C4×#124C2211yescharacteristic
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×#121C2212yes—
283#2296C2212yes—
284#2295C2212yes—
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2295C2212yes—
288#2295C2211yescharacteristic
289#2295C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2274C2212yes—
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#533—28no—
300#533—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311#529—28no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#123C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×#121C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2312yes—
366C22×C42C2312yes—
367C22×C42C2311yescharacteristic
368#401C2314yes—
369#401C2314yes—
370#401C2314yes—
371#401C2314yes—
372#401C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2312yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2312yes—
408#399C2312yes—
409#399C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#396C2312yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2312yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2312yes—
476#395C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2312yes—
487#393C2312yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2314yes—
505#391C2312yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2314yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#386C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#384C2312yes—
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#383C2314yes—
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2314yes—
715#382C2314yes—
716#382C2311yescharacteristic
717#382C2314yes—
718#381C2314yes—
719#381C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2314yes—
807#376C2314yes—
808C2×#95C2312yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2414yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—24no—
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—42no—
838C4⋊Q8—84no—
839C4⋊Q8—82no—
840#126—28no—
841#126—84no—
842#125—24no—
843#125—28no—
844#125—28no—
845#125—28no—
846#125—44no—
847#125—84no—
848#125—82no—
849#125—84no—
850#124—24no—
851#124—24no—
852#124—42no—
853#123—28no—
854C22⋊Q8—24no—
855C22⋊Q8—24no—
856C22⋊Q8—24no—
857C22⋊Q8—24no—
858C22⋊Q8—24no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—84no—
864#121—24no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—42no—
878C4×Q8—42no—
879C4×D4—28no—
880C4×D4—24no—
881C4×D4—44no—
882C4×D4—84no—
883#117—28no—
884#117—28no—
885#117—28no—
886#117—28no—
887#117—24no—
888#117—42no—
889#117—44no—
890#117—82no—
891C2×C4⋊C4—24no—
892C2×C4⋊C4—42no—
893C2×C4⋊C4—44no—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C42—44no—
1011C2×C42#4118yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2412yes—
1071#95C2412yes—
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142C24C2512yes—
1143C24C2511yescharacteristic
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×D4—24no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4C2×#4114yes—
1193C22×C4C2×#4114yes—
1194C22×C4C2×#4114yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2514yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2514yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2514yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C42−1+414yes—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—24no—
1348C42—24no—
1349C42—28no—
1350C42—22no—
1351C42—22no—
1352C42—24no—
1353C42—22no—
1354C42—24no—
1355C42—24no—
1356C42—24no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—42no—
1362C42—42no—
1363C42—42no—
1364C42—42no—
1365C42—44no—
1366C42—41no—
1367C42—41no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42—44no—
1372C42—44no—
1373C42—44no—
1374C42—42no—
1375C42—44no—
1376C42—42no—
1377C42—42no—
1378C42—41no—
1379C42—42no—
1380C42—41no—
1381C42C2×#4114yes—
1382C42C2×#4114yes—
1383C42C2×#4114yes—
1384C42C2×#4114yes—
1385C422−1+414yes—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23C22×#4112yes—
1400C23C2611yescharacteristic
1401Q8—44no—
1402Q8—44no—
1403Q8—44no—
1404Q8—44no—
1405Q8—44no—
1406Q8—84no—
1407Q8—84no—
1408Q8—164no—
1409D4—48no—
1410D4—44no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—28no—
1426C2×C4—28no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—24no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—24no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—21no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—44no—
1500C2×C4—48no—
1501C2×C4—84no—
1502C2×C4—84no—
1503C2×C4—164no—
1504C2×C4C22×#4112yes—
1505C2×C4C22×#4112yes—
1506C2×C4C22×#4112yes—
1507C2×C4C22×#4112yes—
1508C2×C4C22×#4112yes—
1509C2×C4C22×#4112yes—
1510C2×C4C2×2−1+414yes—
1511C2×C4C2×2−1+412yes—
1512C2×C4C2×2−1+412yes—
1513C2×C4C2×2−1+412yes—
1514C2×C4C2×2−1+412yes—
1515C2×C4#58512yes—
1516C2×C4#58512yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22C23×#4111yescharacteristic
1532C22C22×2−1+411yescharacteristic
1533C22C22×2−1+411yescharacteristic
1534C22C2×#58511yescharacteristic
1535C22C2×#58511yescharacteristic
1536C22H(7,𝔽2)11yescharacteristic
1537C222−1+611yescharacteristic
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—24no—
1544C4—22no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—42no—
1556C4—41no—
1557C4—44no—
1558C4—41no—
1559C4—41no—
1560C4—42no—
1561C4—41no—
1562C4—44no—
1563C4—41no—
1564C4—42no—
1565C4—42no—
1566C4—44no—
1567C4—44no—
1568C4—41no—
1569C4#346114yes—
1570C4#350714yes—
1571C2—42no—
1572C2—82no—
1573C2C2×#346111yescharacteristic
1574C2C2×#350711yescharacteristic
1575C2#6285611yescharacteristic
1576C2#6294311yescharacteristic
1577C2#6295011yescharacteristic
1578C2#6295611yescharacteristic
1579C2#6296611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42672C2semidirect
2. #42670C2semidirect
3. #42452C2semidirect
4. #42451C2semidirect
5. #41687C2semidirect
6. #41676C2semidirect
7. #41641C2semidirect
8. #41630C2semidirect
9. #39809C2semidirect
10. #39762C2semidirect
11. #39682C2semidirect
12. #39633C2semidirect
13. #38977C2semidirect
14. #38976C2semidirect
15. #38241C2semidirect
16. #38239C2semidirect
17. #37641C2semidirect
19. #37526C2semidirect
21. #36590C2semidirect
22. #36563C2semidirect
23. #36312C2semidirect
24. #36285C2semidirect
25. #35819C2semidirect
26. #35818C2semidirect
27. #35804C2semidirect
28. #35803C2semidirect
29. #35294C2semidirect
32. #34629C2semidirect
34. #34213C2semidirect
35. #34145C2semidirect

Maximal subgroups

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

subgroupindex
#426722
#426702
#424522
#424512
#416872
#416762
#416412
#416302
#398092
#397622
#396822
#396332
#389772
#389762
#382412
#382392
#376412
#376222
#375262
#375212
#365902
#365632
#363122
#362852
#358192
#358182
#358042
#358032
#352942
#352692
#346312
#346292
#342432
#342132
#341452