Finite Group Databasebeta

← #7987100

Subgroups — #7987100

Order 512.

4330 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59710C212yesmaximal, complemented
2#59672C211yesmaximal, characteristic, complemented
3#59292C212yesmaximal, complemented
4#59243C211yesmaximal, characteristic, complemented
5#59227C211yesmaximal, characteristic, complemented
6#51624C214yesmaximal, complemented
7#51404C214yesmaximal, complemented
8#46079C212yesmaximal, complemented
9#45519C212yesmaximal, complemented
10#45202C212yesmaximal, complemented
11#45186C212yesmaximal, complemented
12#44690C214yesmaximal, complemented
13#42538C212yesmaximal, complemented
14#42437C212yesmaximal
15#41646C214yesmaximal, complemented
16#40155C212yesmaximal, complemented
17#40078C212yesmaximal, complemented
18#39737C212yesmaximal, complemented
19#39479C211yesmaximal, characteristic, complemented
20#39225C212yesmaximal, complemented
21#39158C211yesmaximal, characteristic, complemented
22#38266C212yesmaximal, complemented
23#36497C211yesmaximal, characteristic, complemented
24#36480C211yesmaximal, characteristic, complemented
25#36407C211yesmaximal, characteristic, complemented
26#36210C212yesmaximal, complemented
27#36209C211yesmaximal, characteristic, complemented
28#36193C211yesmaximal, characteristic, complemented
29#35202C211yesmaximal, characteristic, complemented
30#35167C211yesmaximal, characteristic, complemented
31#35039C212yesmaximal, complemented
32#34941C211yesmaximal, characteristic, complemented
33#34898C211yesmaximal, characteristic, complemented
34#34435C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic
36C2×#553C2211yescharacteristic
37C2×#544C2212yes—
38#2864C2212yes—
39#2864C2212yes—
40#2863C2212yes—
41#2859C2211yescharacteristic
42#2859C2212yes—
43#2857C2212yes—
44#2857C2211yescharacteristic
45#2857C2212yes—
46#2857C2212yes—
47#2857C2211yescharacteristic
48#2855C2212yes—
49#2836C2214yes—
50#2816C2214yes—
51#2809C2214yes—
52#2802C2214yes—
53#2800C2214yes—
54#2798C2214yes—
55#2791C2214yes—
56#2786C2214yes—
57#2781C2214yes—
58#2781C2214yes—
59#2779C2214yes—
60#2777C2214yes—
61#2776C2214yes—
62#2774C2214yes—
63#2773C2214yes—
64#2773C2214yes—
65#2772C2214yes—
66#2772C2214yes—
67#2772C2214yes—
68#2766C2214yes—
69#2762C2214yes—
70#2759C2214yes—
71#2755C2214yes—
72#2754C2214yes—
73#2754C2214yes—
74#2744C2214yes—
75#2741C2214yes—
76#2741C2214yes—
77#2721C2214yes—
78#2716C2214yes—
79#2702C2214yes—
80#2700C2214yes—
81#2698C2214yes—
82#2694C2214yes—
83#2674C2214yes—
84#2667C2214yes—
85#2659C2214yes—
86#2652C2214yes—
87#2650C2214yes—
88#2644C2212yes—
89#2638C2214yes—
90#2637C2214yes—
91#2624C2212yes—
92#2620C2214yes—
93#2611C2214yes—
94#2606C2214yes—
95#2605C2214yes—
96#2601C2214yes—
97#2594C2214yes—
98#2588C2214yes—
99#2577C2212yes—
100#2577C2214yes—
101#2575C2212yes—
102#2574C2214yes—
103#2574C2214yes—
104#2571C2212yes—
105#2570C2212yes—
106#2570C2211yescharacteristic
107#2567C2211yescharacteristic
108#2565C2214yes—
109#2565C2211yescharacteristic
110#2563C2211yescharacteristic
111#2562C2212yes—
112#2562C2211yescharacteristic
113#2562C2212yes—
114#2556C2214yes—
115#2552C2212yes—
116#2552C2211yescharacteristic
117#2552C2211yescharacteristic
118#2552C2212yes—
119#2552C2211yescharacteristic
120#2552C2211yescharacteristic
121#2552C2211yescharacteristic
122#2552C2212yes—
123#2551C2211yescharacteristic
124#2551C2212yes—
125#2551C2211yescharacteristic
126#2550C2212yes—
127#2550C2212yes—
128#2550C2214yes—
129#2550C2212yes—
130#2547C2212yes—
131#2538C2211yescharacteristic
132#2536C2211yescharacteristic
133#2536C2212yes—
134#2530C2214yes—
135#2529C2214yes—
136#2529C2214yes—
137#2528C2214yes—
138#2524C2212yes—
139#2523C2214yes—
140#2521C2214yes—
141#2520C2214yes—
142#2520C2214yes—
143#2519C2214yes—
144#2514C2214yes—
145#2513C2212yes—
146#2513C2212yes—
147#2512C2212yes—
148#2511C2214yes—
149#2511C2212yes—
150#2509C2212yes—
151#2509C2214yes—
152#2509C2212yes—
153#2508C2212yes—
154#2508C2212yes—
155#2508C2212yes—
156#2508C2212yes—
157#2508C2212yes—
158#2508C2212yes—
159#2508C2214yes—
160#2507C2212yes—
161#2506C2212yes—
162#2506C2212yes—
163#2500C2212yes—
164#2499C2212yes—
165#2497C2212yes—
166#2497C2212yes—
167#2496C2212yes—
168#2496C2211yescharacteristic
169#2495C2212yes—
170#2495C2211yescharacteristic
171#2495C2212yes—
172#2494C2212yes—
173#2494C2212yes—
174#2494C2212yes—
175#2494C2214yes—
176#2494C2212yes—
177#2492C2212yes—
178#2491C2212yes—
179#2490C2212yes—
180#2489C2212yes—
181#2489C2212yes—
182#2489C2212yes—
183#2485C2212yes—
184#2485C2212yes—
185#2485C2212yes—
186#2485C2214yes—
187#2485C2212yes—
188#2469C2214yes—
189#2468C2212yes—
190#2465C2214yes—
191#2462C2214yes—
192#2460C2214yes—
193#2454C2212yes—
194#2454C2212yes—
195#2453C2212yes—
196#2452C2212yes—
197#2451C2212yes—
198#2448C2214yes—
199#2442C2212yes—
200#2441C2212yes—
201#2441C2212yes—
202#2441C2212yes—
203#2441C2212yes—
204#2441C2212yes—
205#2441C2212yes—
206#2439C2212yes—
207#2439C2212yes—
208#2439C2212yes—
209#2438C2214yes—
210#2423C2211yescharacteristic
211#2423C2212yes—
212#2421C2214yes—
213#2421C2211yescharacteristic
214#2415C2212yes—
215#2415C2212yes—
216#2415C2214yes—
217#2402C2212yes—
218#2396C2214yes—
219#2395C2212yes—
220#2382C2214yes—
221#2378C2214yes—
222#2374C2212yes—
223#2373C2212yes—
224#2371C2214yes—
225#2370C2212yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2212yes—
230#2370C2212yes—
231#2370C2211yescharacteristic
232#2369C2211yescharacteristic
233#2369C2211yescharacteristic
234#2369C2212yes—
235#2365C2212yes—
236#2365C2212yes—
237#2364C2212yes—
238#2363C2211yescharacteristic
239#2362C2214yes—
240#2361C2211yescharacteristic
241#2357C2211yescharacteristic
242#2356C2212yes—
243#2355C2211yescharacteristic
244#2355C2211yescharacteristic
245#2354C2211yescharacteristic
246#2354C2211yescharacteristic
247#2354C2212yes—
248#2353C2212yes—
249#2352C2211yescharacteristic
250#2347C2211yescharacteristic
251#2347C2214yes—
252#2347C2212yes—
253#2346C2212yes—
254#2346C2212yes—
255#2346C2212yes—
256#2346C2212yes—
257#2345C2211yescharacteristic
258#2344C2212yes—
259#2336C2214yes—
260#2332C2214yes—
261#2331C2214yes—
262#2331C2212yes—
263#2330C2212yes—
264#2330C2212yes—
265#2327C2214yes—
266#2323C2214yes—
267#2316C2212yes—
268#2314C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×C4⋊Q8C2212yes—
272C4×#125C2211yescharacteristic
273C4×#125C2211yescharacteristic
274C4×#125C2212yes—
275C4×#126C2212yes—
276C4×#126C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×#123C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284#2298C2212yes—
285#2296C2212yes—
286#2293C2212yes—
287#2285C2211yescharacteristic
288#2285C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2212yes—
292#2283C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#553—28no—
300#544—216no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2314yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#124C2314yes—
321C2×#123C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×#121C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2314yes—
338C2×C4×Q8C2314yes—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2314yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2314yes—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2312yes—
363C22×C42C2312yes—
364#401C2314yes—
365#401C2314yes—
366#400C2314yes—
367#400C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2312yes—
371#400C2314yes—
372#400C2312yes—
373#400C2312yes—
374#400C2314yes—
375#400C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2312yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2312yes—
398#398C2314yes—
399#398C2312yes—
400#398C2314yes—
401#398C2314yes—
402#398C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#397C2312yes—
414#397C2312yes—
415#397C2314yes—
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#394C2312yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#391C2312yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2311yescharacteristic
463#391C2314yes—
464#391C2311yescharacteristic
465#391C2312yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2314yes—
478#390C2312yes—
479#390C2314yes—
480#390C2312yes—
481#390C2312yes—
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2312yes—
485#390C2312yes—
486#389C2311yescharacteristic
487#389C2312yes—
488#389C2312yes—
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2314yes—
496#389C2312yes—
497#389C2312yes—
498#389C2314yes—
499#389C2312yes—
500#389C2312yes—
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#386C2312yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2312yes—
659#385C2312yes—
660#385C2314yes—
661#384C2312yes—
662#384C2312yes—
663#384C2311yescharacteristic
664#384C2314yes—
665#384C2311yescharacteristic
666#384C2311yescharacteristic
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2312yes—
672#384C2312yes—
673#383C2312yes—
674#383C2312yes—
675#383C2314yes—
676#383C2312yes—
677#383C2314yes—
678#382C2312yes—
679#382C2311yescharacteristic
680#382C2311yescharacteristic
681#382C2311yescharacteristic
682#382C2314yes—
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2314yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2314yes—
690#382C2312yes—
691#382C2314yes—
692#382C2314yes—
693#382C2314yes—
694#382C2312yes—
695#382C2314yes—
696#381C2314yes—
697#381C2312yes—
698#381C2312yes—
699#380C2311yescharacteristic
700#380C2311yescharacteristic
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2311yescharacteristic
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2311yescharacteristic
726#380C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804#376C2314yes—
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808C2×#95C2312yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2414yes—
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×D4C2411yescharacteristic
817C22×D4C2411yescharacteristic
818C22×D4C2412yes—
819C22×D4C2412yes—
820C23×C4C2411yescharacteristic
821C23×C4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C4⋊Q8—28no—
832C4⋊Q8—28no—
833C4⋊Q8—216no—
834C4⋊Q8—24no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837#126—28no—
838#126—44no—
839#126—84no—
840#125—28no—
841#125—28no—
842#125—216no—
843#125—24no—
844#125—28no—
845#125—48no—
846#125—42no—
847#125—44no—
848#125—44no—
849#125—82no—
850#124—84no—
851#123—28no—
852C22⋊Q8—216no—
853C22⋊Q8—216no—
854C22⋊Q8—42no—
855C22⋊Q8—44no—
856C22⋊Q8—42no—
857C22⋊Q8—82no—
858C22⋊Q8—82no—
859C22⋊Q8—84no—
860#121—28no—
861#121—24no—
862#121—24no—
863C4×Q8—24no—
864C4×Q8—44no—
865C4×Q8—42no—
866C4×Q8—42no—
867C4×Q8—84no—
868C4×Q8—84no—
869C4×D4—28no—
870C4×D4—24no—
871C4×D4—24no—
872C4×D4—24no—
873C4×D4—24no—
874C4×D4—42no—
875C4×D4—44no—
876C4×D4—42no—
877C4×D4—44no—
878C4×D4—44no—
879#117—28no—
880#117—28no—
881#117—24no—
882#117—24no—
883#117—48no—
884#117—44no—
885#117—44no—
886#117—44no—
887#117—84no—
888C2×C4⋊C4—24no—
889C2×C4⋊C4#4118yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C42—24no—
1010C2×C42—24no—
1011C2×C42—44no—
1012C2×C42—44no—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2414yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2411yescharacteristic
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138C24C2511yescharacteristic
1139C24C2512yes—
1140C24C2511yescharacteristic
1141C2×Q8—28no—
1142C2×Q8—28no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—42no—
1148C2×Q8—44no—
1149C2×Q8—44no—
1150C2×Q8—42no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×D4—24no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—24no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—42no—
1193C22×C4—41no—
1194C22×C4—42no—
1195C22×C4—41no—
1196C22×C4C2×#4114yes—
1197C22×C4C2×#4118yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—42no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4C2×#4114yes—
1307C4⋊C4C2×#4114yes—
1308C4⋊C4C2×#4118yes—
1309C4⋊C42−1+414yes—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—22no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—22no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C42—24no—
1350C42—28no—
1351C42—24no—
1352C42—24no—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—24no—
1361C42—22no—
1362C42—24no—
1363C42—24no—
1364C42—22no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—28no—
1369C42—22no—
1370C42—22no—
1371C42—24no—
1372C42—42no—
1373C42—42no—
1374C42—42no—
1375C42—42no—
1376C42—44no—
1377C42—44no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42—42no—
1382C42—42no—
1383C42—42no—
1384C42—42no—
1385C42—44no—
1386C42—42no—
1387C42—44no—
1388C42—41no—
1389C422−1+414yes—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—22no—
1397C23—21no—
1398C23—21no—
1399C23—22no—
1400C23—22no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—22no—
1405C23—22no—
1406C23—21no—
1407C23—22no—
1408C23—22no—
1409C23—21no—
1410C23C22×#4112yes—
1411C23C2611yescharacteristic
1412Q8—44no—
1413Q8—88no—
1414Q8—88no—
1415Q8—84no—
1416D4—44no—
1417D4—48no—
1418D4—44no—
1419D4—84no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—28no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—48no—
1506C2×C4—48no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—48no—
1511C2×C4—84no—
1512C2×C4—84no—
1513C2×C4—82no—
1514C2×C4—82no—
1515C2×C4C22×#4112yes—
1516C2×C4C22×#4114yes—
1517C2×C4C22×#4114yes—
1518C2×C4C22×#4112yes—
1519C2×C4C2×2−1+412yes—
1520C2×C4C2×2−1+414yes—
1521C2×C4C2×2−1+412yes—
1522C2×C4C2×2−1+412yes—
1523C2×C4C2×2−1+412yes—
1524C2×C4#58512yes—
1525C2×C4#58512yes—
1526C2×C4#58512yes—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—42no—
1535C22—41no—
1536C22—42no—
1537C22—41no—
1538C22—42no—
1539C22—41no—
1540C22—41no—
1541C22—42no—
1542C22—41no—
1543C22—42no—
1544C22—41no—
1545C22—42no—
1546C22—41no—
1547C22—42no—
1548C22C23×#4111yescharacteristic
1549C22C22×2−1+411yescharacteristic
1550C22C22×2−1+411yescharacteristic
1551C22C2×#58511yescharacteristic
1552C22C2×#58511yescharacteristic
1553C22C2×#58511yescharacteristic
1554C22H(7,𝔽2)11yescharacteristic
1555C4—24no—
1556C4—24no—
1557C4—22no—
1558C4—24no—
1559C4—22no—
1560C4—22no—
1561C4—41no—
1562C4—44no—
1563C4—42no—
1564C4—42no—
1565C4—41no—
1566C4—41no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—44no—
1573C4—42no—
1574C4—41no—
1575C4—42no—
1576C4—41no—
1577C4—42no—
1578C4—41no—
1579C4—41no—
1580C4—44no—
1581C4—41no—
1582C4—42no—
1583C4—42no—
1584C4—44no—
1585C4#350914yes—
1586C4#356514yes—
1587C2—42no—
1588C2—82no—
1589C2—81no—
1590C2C2×#356511yescharacteristic
1591C2#6279311yescharacteristic
1592C2C2×#350911yescharacteristic
1593C2#6292911yescharacteristic
1594C2#6295211yescharacteristic
1595C2#6299211yescharacteristic
1596C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#553C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59710C2semidirect
2. #59672C2semidirect
3. #59292C2semidirect
4. #59243C2semidirect
5. #59227C2semidirect
6. #51624C2semidirect
7. #51404C2semidirect
8. #46079C2semidirect
9. #45519C2semidirect
10. #45202C2semidirect
11. #45186C2semidirect
12. #44690C2semidirect
13. #42538C2semidirect
15. #41646C2semidirect
16. #40155C2semidirect
17. #40078C2semidirect
18. #39737C2semidirect
19. #39479C2semidirect
20. #39225C2semidirect
21. #39158C2semidirect
22. #38266C2semidirect
23. #36497C2semidirect
24. #36480C2semidirect
25. #36407C2semidirect
26. #36210C2semidirect
27. #36209C2semidirect
28. #36193C2semidirect
29. #35202C2semidirect
30. #35167C2semidirect
31. #35039C2semidirect
32. #34941C2semidirect
33. #34898C2semidirect
34. #34435C2semidirect

Maximal subgroups

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

subgroupindex
#597102
#596722
#592922
#592432
#592272
#516242
#514042
#460792
#455192
#452022
#451862
#446902
#425382
#424372
#416462
#401552
#400782
#397372
#394792
#392252
#391582
#382662
#364972
#364802
#364072
#362102
#362092
#361932
#352022
#351672
#350392
#349412
#348982
#344352
C4×#5532