Finite Group Databasebeta

← #7657569

Subgroups — #7657569

Order 512.

4389 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42903C212yesmaximal, complemented
2#42902C212yesmaximal, complemented
3#42842C212yesmaximal, complemented
4#42830C212yesmaximal, complemented
5#41491C214yesmaximal, complemented
6#41459C214yesmaximal, complemented
7#40855C214yesmaximal, complemented
8#40830C214yesmaximal, complemented
9#39202C211yesmaximal, characteristic, complemented
10#39196C212yesmaximal, complemented
11#39192C211yesmaximal, characteristic, complemented
12#39187C212yesmaximal, complemented
13#38941C211yesmaximal, characteristic, complemented
14#38937C212yesmaximal, complemented
15#38933C211yesmaximal, characteristic, complemented
16#38926C212yesmaximal, complemented
17#37631C211yesmaximal, characteristic, complemented
18#37625C211yesmaximal, characteristic, complemented
19#37579C212yesmaximal, complemented
20#37573C212yesmaximal, complemented
21#36538C211yesmaximal, characteristic, complemented
22#36505C211yesmaximal, characteristic, complemented
23#36497C211yesmaximal, characteristic, complemented
24#36493C211yesmaximal, characteristic
25#36055C212yesmaximal, complemented
26#35970C212yesmaximal, complemented
27#35968C212yesmaximal, complemented
28#35895C212yesmaximal, complemented
29#35340C212yesmaximal, complemented
30#35288C211yesmaximal, characteristic, complemented
31#34629C211yesmaximal, characteristic, complemented
32#34619C212yesmaximal, complemented
33#34331C211yesmaximal, characteristic, complemented
34#34328C211yesmaximal, characteristic, complemented
35#34125C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2864C2212yes—
40#2861C2212yes—
41#2859C2211yescharacteristic
42#2858C2211yescharacteristic
43#2857C2211yescharacteristic
44#2856C2211yescharacteristic
45#2851C2212yes—
46#2850C2212yes—
47#2838C2214yes—
48#2838C2214yes—
49#2836C2214yes—
50#2829C2214yes—
51#2829C2214yes—
52#2829C2214yes—
53#2807C2214yes—
54#2803C2214yes—
55#2798C2214yes—
56#2797C2214yes—
57#2797C2214yes—
58#2797C2214yes—
59#2787C2214yes—
60#2787C2214yes—
61#2784C2214yes—
62#2781C2214yes—
63#2775C2214yes—
64#2772C2214yes—
65#2766C2214yes—
66#2765C2214yes—
67#2752C2214yes—
68#2750C2214yes—
69#2744C2214yes—
70#2744C2214yes—
71#2738C2214yes—
72#2737C2214yes—
73#2725C2214yes—
74#2710C2214yes—
75#2695C2214yes—
76#2686C2214yes—
77#2667C2214yes—
78#2662C2214yes—
79#2655C2212yes—
80#2655C2212yes—
81#2654C2214yes—
82#2654C2214yes—
83#2653C2214yes—
84#2653C2214yes—
85#2652C2212yes—
86#2652C2212yes—
87#2651C2214yes—
88#2651C2214yes—
89#2650C2214yes—
90#2650C2214yes—
91#2649C2214yes—
92#2649C2214yes—
93#2648C2214yes—
94#2647C2211yescharacteristic
95#2647C2212yes—
96#2645C2211yescharacteristic
97#2645C2211yescharacteristic
98#2645C2212yes—
99#2644C2212yes—
100#2644C2212yes—
101#2642C2211yescharacteristic
102#2641C2212yes—
103#2640C2212yes—
104#2640C2212yes—
105#2630C2214yes—
106#2629C2211yescharacteristic
107#2628C2212yes—
108#2625C2212yes—
109#2625C2211yescharacteristic
110#2625C2212yes—
111#2625C2211yescharacteristic
112#2624C2212yes—
113#2624C2212yes—
114#2624C2212yes—
115#2621C2211yescharacteristic
116#2620C2212yes—
117#2597C2214yes—
118#2596C2214yes—
119#2595C2214yes—
120#2595C2214yes—
121#2594C2214yes—
122#2593C2214yes—
123#2578C2214yes—
124#2577C2214yes—
125#2577C2214yes—
126#2576C2214yes—
127#2575C2214yes—
128#2572C2214yes—
129#2570C2212yes—
130#2568C2211yescharacteristic
131#2566C2212yes—
132#2565C2212yes—
133#2563C2212yes—
134#2562C2212yes—
135#2558C2214yes—
136#2558C2214yes—
137#2552C2211yescharacteristic
138#2551C2211yescharacteristic
139#2550C2212yes—
140#2548C2211yescharacteristic
141#2548C2212yes—
142#2547C2211yescharacteristic
143#2545C2212yes—
144#2545C2212yes—
145#2545C2212yes—
146#2544C2212yes—
147#2541C2211yescharacteristic
148#2540C2212yes—
149#2538C2211yescharacteristic
150#2538C2211yescharacteristic
151#2536C2212yes—
152#2535C2212yes—
153#2532C2214yes—
154#2531C2214yes—
155#2531C2214yes—
156#2531C2214yes—
157#2526C2214yes—
158#2526C2214yes—
159#2520C2214yes—
160#2514C2212yes—
161#2513C2212yes—
162#2513C2212yes—
163#2513C2212yes—
164#2512C2212yes—
165#2510C2214yes—
166#2510C2214yes—
167#2509C2212yes—
168#2507C2212yes—
169#2496C2212yes—
170#2495C2214yes—
171#2494C2212yes—
172#2494C2212yes—
173#2493C2214yes—
174#2492C2212yes—
175#2491C2212yes—
176#2491C2212yes—
177#2490C2212yes—
178#2490C2212yes—
179#2489C2212yes—
180#2479C2214yes—
181#2475C2214yes—
182#2474C2214yes—
183#2471C2214yes—
184#2468C2214yes—
185#2462C2214yes—
186#2460C2214yes—
187#2458C2214yes—
188#2456C2214yes—
189#2454C2212yes—
190#2454C2212yes—
191#2453C2212yes—
192#2451C2212yes—
193#2451C2212yes—
194#2448C2214yes—
195#2448C2212yes—
196#2448C2212yes—
197#2448C2212yes—
198#2448C2212yes—
199#2447C2212yes—
200#2447C2212yes—
201#2446C2212yes—
202#2445C2212yes—
203#2432C2212yes—
204#2431C2212yes—
205#2429C2212yes—
206#2427C2212yes—
207#2427C2212yes—
208#2427C2212yes—
209#2426C2212yes—
210#2423C2212yes—
211#2423C2212yes—
212#2422C2212yes—
213#2420C2212yes—
214#2420C2212yes—
215#2420C2212yes—
216#2419C2214yes—
217#2402C2212yes—
218#2402C2212yes—
219#2401C2214yes—
220#2401C2212yes—
221#2401C2212yes—
222#2398C2214yes—
223#2396C2214yes—
224#2395C2214yes—
225#2371C2214yes—
226#2370C2212yes—
227#2370C2212yes—
228#2367C2212yes—
229#2367C2212yes—
230#2367C2212yes—
231#2367C2212yes—
232#2367C2212yes—
233#2366C2211yescharacteristic
234#2366C2212yes—
235#2365C2211yescharacteristic
236#2365C2212yes—
237#2365C2212yes—
238#2363C2212yes—
239#2362C2212yes—
240#2359C2214yes—
241#2357C2212yes—
242#2357C2211yescharacteristic
243#2357C2211yescharacteristic
244#2357C2212yes—
245#2356C2212yes—
246#2356C2212yes—
247#2355C2211yescharacteristic
248#2355C2211yescharacteristic
249#2355C2211yescharacteristic
250#2354C2212yes—
251#2351C2211yescharacteristic
252#2351C2211yescharacteristic
253Q8×C4⋊C4C2211yescharacteristic
254#2349C2212yes—
255#2347C2212yes—
256#2347C2211yescharacteristic
257#2347C2212yes—
258#2347C2211yescharacteristic
259#2341C2211yescharacteristic
260#2341C2211yescharacteristic
261#2336C2214yes—
262#2335C2214yes—
263#2327C2212yes—
264#2326C2212yes—
265#2324C2212yes—
266#2324C2212yes—
267#2323C2212yes—
268#2320C2212yes—
269#2319C2212yes—
270#2319C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2212yes—
274C4×#127C2211yescharacteristic
275C4×#125C2212yes—
276C4×#125C2211yescharacteristic
277C4×#124C2212yes—
278C4×#124C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×#121C2212yes—
283#2295C2212yes—
284#2295C2211yescharacteristic
285#2295C2211yescharacteristic
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2276C2212yes—
294#2275C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#559—28no—
301#557—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C4×#41—28no—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2314yes—
368C22×C42C2312yes—
369C22×C42C2311yescharacteristic
370#401C2312yes—
371#401C2314yes—
372#401C2314yes—
373#401C2312yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2312yes—
379#400C2314yes—
380#400C2312yes—
381#400C2312yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2312yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2312yes—
420#398C2312yes—
421#398C2312yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2314yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2314yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2312yes—
695#383C2314yes—
696#383C2314yes—
697#383C2312yes—
698#383C2312yes—
699#383C2312yes—
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#381C2312yes—
712#381C2314yes—
713#381C2314yes—
714#381C2312yes—
715#381C2312yes—
716#381C2314yes—
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2311yescharacteristic
808C2×#95C2314yes—
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C2×#41—24no—
814C2×#41—42no—
815C2×#41—42no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2414yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2414yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2414yes—
837C23×C4C2414yes—
838C4⋊Q8—28no—
839C4⋊Q8—24no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—42no—
843#127—24no—
844#127—44no—
845#126—84no—
846#125—216no—
847#125—28no—
848#125—42no—
849#125—44no—
850#125—82no—
851#124—28no—
852#124—28no—
853#124—44no—
854#124—44no—
855#124—44no—
856#124—44no—
857#124—84no—
858#123—216no—
859#123—84no—
860C22⋊Q8—42no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—42no—
864C22⋊Q8—44no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—44no—
869#121—82no—
870C4×Q8—24no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—44no—
876C4×Q8—42no—
877C4×Q8—42no—
878C4×Q8—44no—
879C4×Q8—42no—
880C4×Q8—42no—
881C4×Q8—44no—
882C4×Q8—84no—
883C4×Q8#4118yes—
884C4×D4—24no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—24no—
889C4×D4—28no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—82no—
895C4×D4—84no—
896#117—24no—
897#117—28no—
898#117—42no—
899#117—44no—
900#117—44no—
901#117—42no—
902#117—84no—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C42—28no—
1023C2×C42—24no—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2412yes—
1085#95C2411yescharacteristic
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146C24C2514yes—
1147C24C2511yescharacteristic
1148C24C2512yes—
1149#41—416no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8C2×#4114yes—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—28no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—42no—
1206C22×C4—41no—
1207C22×C4—44no—
1208C22×C4—42no—
1209C22×C4—41no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—28no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—41no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4C2×#4114yes—
1316C4⋊C4C2×#4118yes—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—41no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C42—22no—
1368C42—24no—
1369C42—22no—
1370C42—24no—
1371C42—22no—
1372C42—24no—
1373C42—28no—
1374C42—24no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—24no—
1379C42—24no—
1380C42—22no—
1381C42—22no—
1382C42—24no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—24no—
1387C42—42no—
1388C42—42no—
1389C42—41no—
1390C42—41no—
1391C42—42no—
1392C42—44no—
1393C42—41no—
1394C42—44no—
1395C42—42no—
1396C42—42no—
1397C42—42no—
1398C42—42no—
1399C42—44no—
1400C42—44no—
1401C42—44no—
1402C42—42no—
1403C42—44no—
1404C42—41no—
1405C42C2×#4118yes—
1406C42C2×#4114yes—
1407C23—24no—
1408C23—21no—
1409C23—22no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—21no—
1414C23—22no—
1415C23—24no—
1416C23—24no—
1417C23—24no—
1418C23—24no—
1419C23—21no—
1420C23—21no—
1421C23—22no—
1422C23—22no—
1423C23—24no—
1424C23—21no—
1425C23—21no—
1426C23—22no—
1427C23—24no—
1428C23C2611yescharacteristic
1429Q8—28no—
1430Q8—48no—
1431Q8—44no—
1432Q8—44no—
1433Q8—88no—
1434D4—48no—
1435D4—48no—
1436D4—44no—
1437D4—48no—
1438D4—84no—
1439D4—88no—
1440D4—164no—
1441D4—164no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—24no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—48no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—48no—
1533C2×C4—88no—
1534C2×C4—84no—
1535C2×C4—82no—
1536C2×C4—164no—
1537C2×C4—164no—
1538C2×C4C22×#4114yes—
1539C2×C4C22×#4114yes—
1540C2×C4C22×#4112yes—
1541C2×C4C22×#4112yes—
1542C2×C4C22×#4112yes—
1543C2×C4#58512yes—
1544C2×C4#58512yes—
1545C2×C4#58512yes—
1546C2×C4#58512yes—
1547C22—41no—
1548C22—42no—
1549C22—44no—
1550C22—44no—
1551C22—42no—
1552C22—41no—
1553C22—42no—
1554C22—41no—
1555C22—44no—
1556C22—44no—
1557C22—42no—
1558C22—44no—
1559C22—41no—
1560C22—42no—
1561C22—41no—
1562C22—44no—
1563C22—42no—
1564C22—41no—
1565C22—44no—
1566C22—41no—
1567C22—42no—
1568C22C23×#4111yescharacteristic
1569C22C2×#58511yescharacteristic
1570C22C2×#58511yescharacteristic
1571C22C2×#58511yescharacteristic
1572C22C2×#58511yescharacteristic
1573C22H(7,𝔽2)11yescharacteristic
1574C222−1+611yescharacteristic
1575C4—24no—
1576C4—22no—
1577C4—24no—
1578C4—41no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—41no—
1585C4—41no—
1586C4—44no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—42no—
1599C4—44no—
1600C4—41no—
1601C4—42no—
1602C4—44no—
1603C4—42no—
1604C4—42no—
1605C4#345514yes—
1606C4#352414yes—
1607C2—82no—
1608C2—81no—
1609C2—84no—
1610C2C2×#345511yescharacteristic
1611C2C2×#352411yescharacteristic
1612C2#6285711yescharacteristic
1613C2#6296811yescharacteristic
1614C2#6296811yescharacteristic
1615C2#6296911yescharacteristic
1616C2#6296911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36493C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42903C2semidirect
2. #42902C2semidirect
3. #42842C2semidirect
4. #42830C2semidirect
5. #41491C2semidirect
6. #41459C2semidirect
7. #40855C2semidirect
8. #40830C2semidirect
9. #39202C2semidirect
10. #39196C2semidirect
11. #39192C2semidirect
12. #39187C2semidirect
13. #38941C2semidirect
14. #38937C2semidirect
15. #38933C2semidirect
16. #38926C2semidirect
17. #37631C2semidirect
18. #37625C2semidirect
19. #37579C2semidirect
20. #37573C2semidirect
21. #36538C2semidirect
22. #36505C2semidirect
23. #36497C2semidirect
25. #36055C2semidirect
26. #35970C2semidirect
27. #35968C2semidirect
28. #35895C2semidirect
29. #35340C2semidirect
30. #35288C2semidirect
31. #34629C2semidirect
32. #34619C2semidirect
33. #34331C2semidirect
34. #34328C2semidirect
35. #34125C2semidirect

Maximal subgroups

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

subgroupindex
#429032
#429022
#428422
#428302
#414912
#414592
#408552
#408302
#392022
#391962
#391922
#391872
#389412
#389372
#389332
#389262
#376312
#376252
#375792
#375732
#365382
#365052
#364972
#364932
#360552
#359702
#359682
#358952
#353402
#352882
#346292
#346192
#343312
#343282
#341252