Finite Group Databasebeta

← #7710401

Subgroups — #7710401

Order 512.

4752 conjugacy classes of subgroups.

The subgroup lattice has 1659 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C211yesmaximal, characteristic, complemented
2#59466C211yesmaximal, characteristic, complemented
3#59464C211yesmaximal, characteristic, complemented
4#59437C211yesmaximal, characteristic, complemented
5#59086C212yesmaximal, complemented
6#59073C212yesmaximal, complemented
7#46110C214yesmaximal, complemented
8#46068C212yesmaximal, complemented
9#46049C212yesmaximal, complemented
10#40316C214yesmaximal, complemented
11#40240C214yesmaximal, complemented
12#40102C212yesmaximal, complemented
13#40052C212yesmaximal, complemented
14#39930C212yesmaximal, complemented
15#39857C212yesmaximal, complemented
16#39163C212yesmaximal, complemented
17#39148C211yesmaximal, characteristic
18#39146C211yesmaximal, characteristic, complemented
19#38981C212yesmaximal, complemented
20#38943C211yesmaximal, characteristic, complemented
21#38941C211yesmaximal, characteristic, complemented
22#37581C212yesmaximal, complemented
23#37015C214yesmaximal, complemented
24#36635C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36535C211yesmaximal, characteristic, complemented
27#36469C211yesmaximal, characteristic, complemented
28#36301C212yesmaximal, complemented
29#36294C212yesmaximal, complemented
30#36271C211yesmaximal, characteristic, complemented
31#36261C211yesmaximal, characteristic, complemented
32#35107C212yesmaximal, complemented
33#35029C212yesmaximal, complemented
34#34500C212yesmaximal, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#556C2212yes—
38C2×#554C2212yes—
39C2×#529C2211yescharacteristic
40C2×#529C2212yes—
41#2864C2211yescharacteristic
42#2864C2211yescharacteristic
43#2864C2212yes—
44#2863C2212yes—
45#2863C2212yes—
46#2862C2211yescharacteristic
47#2861C2212yes—
48#2860C2212yes—
49#2860C2212yes—
50#2860C2212yes—
51#2859C2211yescharacteristic
52#2859C2211yescharacteristic
53#2858C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2212yes—
58#2856C2211yescharacteristic
59#2855C2212yes—
60#2855C2212yes—
61#2854C2212yes—
62#2854C2212yes—
63#2854C2212yes—
64#2851C2211yescharacteristic
65#2851C2211yescharacteristic
66#2850C2212yes—
67#2838C2214yes—
68#2831C2214yes—
69#2797C2214yes—
70#2787C2214yes—
71#2787C2214yes—
72#2777C2214yes—
73#2775C2214yes—
74#2775C2214yes—
75#2774C2214yes—
76#2770C2214yes—
77#2769C2214yes—
78#2764C2214yes—
79#2749C2214yes—
80#2748C2214yes—
81#2746C2214yes—
82#2746C2214yes—
83#2745C2214yes—
84#2744C2214yes—
85#2737C2214yes—
86#2728C2214yes—
87#2728C2214yes—
88#2723C2214yes—
89#2722C2214yes—
90#2715C2214yes—
91#2702C2214yes—
92#2702C2214yes—
93#2702C2214yes—
94#2700C2214yes—
95#2698C2214yes—
96#2695C2214yes—
97#2693C2214yes—
98#2688C2214yes—
99#2686C2214yes—
100#2672C2214yes—
101#2665C2214yes—
102#2654C2214yes—
103#2652C2214yes—
104#2650C2214yes—
105#2649C2214yes—
106#2645C2212yes—
107#2644C2212yes—
108#2642C2212yes—
109#2640C2212yes—
110#2630C2214yes—
111#2602C2214yes—
112#2601C2214yes—
113#2600C2214yes—
114#2596C2214yes—
115#2592C2212yes—
116#2592C2212yes—
117#2590C2214yes—
118#2588C2214yes—
119#2588C2214yes—
120#2584C2212yes—
121#2583C2214yes—
122#2581C2212yes—
123#2579C2214yes—
124#2577C2214yes—
125#2573C2214yes—
126#2571C2212yes—
127#2571C2211yescharacteristic
128#2570C2212yes—
129#2568C2212yes—
130#2566C2212yes—
131#2566C2212yes—
132#2565C2212yes—
133#2563C2212yes—
134#2562C2212yes—
135#2560C2214yes—
136#2557C2214yes—
137#2553C2214yes—
138#2552C2211yescharacteristic
139#2552C2211yescharacteristic
140#2551C2211yescharacteristic
141#2550C2212yes—
142#2550C2212yes—
143#2550C2212yes—
144#2549C2214yes—
145#2548C2211yescharacteristic
146#2547C2211yescharacteristic
147#2547C2212yes—
148#2546C2211yescharacteristic
149#2545C2212yes—
150#2544C2212yes—
151#2544C2212yes—
152#2541C2211yescharacteristic
153#2535C2212yes—
154#2530C2214yes—
155#2529C2214yes—
156#2527C2214yes—
157#2527C2214yes—
158#2525C2214yes—
159#2514C2212yes—
160#2513C2212yes—
161#2513C2212yes—
162#2512C2212yes—
163#2509C2212yes—
164#2508C2212yes—
165#2508C2212yes—
166#2504C2212yes—
167#2504C2212yes—
168#2498C2214yes—
169#2497C2212yes—
170#2495C2212yes—
171#2495C2212yes—
172#2494C2214yes—
173#2494C2212yes—
174#2494C2212yes—
175#2491C2212yes—
176#2491C2212yes—
177#2491C2212yes—
178#2490C2212yes—
179#2489C2212yes—
180#2487C2212yes—
181#2485C2214yes—
182#2481C2214yes—
183#2481C2214yes—
184#2478C2214yes—
185#2477C2214yes—
186#2477C2214yes—
187#2477C2214yes—
188#2470C2214yes—
189#2468C2214yes—
190#2463C2214yes—
191#2461C2214yes—
192#2454C2212yes—
193#2454C2212yes—
194#2454C2212yes—
195#2454C2212yes—
196#2453C2212yes—
197#2452C2212yes—
198#2451C2212yes—
199#2449C2214yes—
200#2447C2212yes—
201#2446C2212yes—
202#2443C2214yes—
203#2442C2212yes—
204#2442C2212yes—
205#2440C2212yes—
206#2440C2212yes—
207#2429C2212yes—
208#2428C2212yes—
209#2427C2212yes—
210#2427C2214yes—
211#2427C2212yes—
212#2423C2212yes—
213#2422C2212yes—
214#2420C2212yes—
215#2420C2212yes—
216#2420C2212yes—
217#2420C2212yes—
218#2416C2212yes—
219#2379C2214yes—
220#2376C2214yes—
221#2370C2212yes—
222#2369C2212yes—
223#2367C2212yes—
224#2367C2212yes—
225#2367C2212yes—
226#2366C2211yescharacteristic
227#2366C2211yescharacteristic
228#2366C2212yes—
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2361C2212yes—
232#2359C2214yes—
233#2355C2211yescharacteristic
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2352C2214yes—
237#2352C2214yes—
238#2351C2212yes—
239#2349C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2211yescharacteristic
244#2345C2212yes—
245#2344C2214yes—
246#2337C2214yes—
247#2337C2214yes—
248#2335C2214yes—
249#2328C2212yes—
250#2326C2212yes—
251#2325C2214yes—
252#2322C2214yes—
253#2320C2212yes—
254#2319C2212yes—
255#2318C2214yes—
256C4×C4⋊Q8C2211yescharacteristic
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2211yescharacteristic
259C4×#127C2211yescharacteristic
260C4×#125C2211yescharacteristic
261C4×#125C2211yescharacteristic
262C4×#125C2212yes—
263C4×#125C2211yescharacteristic
264C4×#125C2211yescharacteristic
265C4×#126C2212yes—
266C4×#126C2212yes—
267C4×#124C2212yes—
268C4×#124C2211yescharacteristic
269C4×#124C2211yescharacteristic
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×#123C2212yes—
275C4×#123C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281#2298C2212yes—
282#2295C2212yes—
283#2295C2212yes—
284#2295C2211yescharacteristic
285#2293C2212yes—
286#2293C2212yes—
287#2293C2212yes—
288#2293C2211yescharacteristic
289C2×#389C2212yes—
290#2290C2212yes—
291#2283C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299#559—216no—
300#556—48no—
301#554—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#127C2311yescharacteristic
309C2×#127C2312yes—
310#529—28no—
311#529—48no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2311yescharacteristic
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2311yescharacteristic
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2314yes—
376C2×#117C2314yes—
377C2×#117C2312yes—
378C22×C4⋊C4C2314yes—
379C22×C4⋊C4C2314yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390#401C2314yes—
391#401C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
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#397C2314yes—
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#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#392C2314yes—
469#392C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2311yescharacteristic
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
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#388C2312yes—
601#388C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2312yes—
665#386C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2312yes—
694#383C2312yes—
695#383C2314yes—
696#383C2314yes—
697#383C2312yes—
698#383C2312yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2314yes—
709#382C2312yes—
710#382C2314yes—
711#382C2312yes—
712#382C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2314yes—
715#381C2314yes—
716#381C2312yes—
717#381C2312yes—
718#381C2314yes—
719#381C2314yes—
720#381C2312yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805C2×#95C2314yes—
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2414yes—
825C22×D4C2414yes—
826C22×D4C2414yes—
827C22×D4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C4⋊Q8—24no—
844C4⋊Q8—44no—
845C4⋊Q8—42no—
846C4⋊Q8—42no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849#127—28no—
850#127—24no—
851#126—28no—
852#126—48no—
853#126—48no—
854#126—48no—
855#125—24no—
856#125—28no—
857#125—42no—
858#125—42no—
859#125—44no—
860#125—44no—
861#124—24no—
862#124—28no—
863#124—216no—
864#124—28no—
865#124—28no—
866#124—44no—
867#124—48no—
868#123—216no—
869#123—28no—
870#123—216no—
871#123—48no—
872C22⋊Q8—24no—
873C22⋊Q8—44no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—44no—
878C22⋊Q8—48no—
879C22⋊Q8—44no—
880#121—24no—
881#121—48no—
882#121—44no—
883#121—44no—
884#121—44no—
885#121—44no—
886#121—44no—
887C4×Q8—28no—
888C4×Q8—24no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×D4—28no—
896C4×D4—216no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—48no—
910C4×D4—48no—
911C4×D4—44no—
912C4×D4#4118yes—
913#117—28no—
914#117—44no—
915#117—48no—
916#117—48no—
917C2×C4⋊C4—48no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—48no—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C42—24no—
1035C2×C42—24no—
1036C2×C42—24no—
1037C2×C42—44no—
1038C2×C42—42no—
1039C2×C42—42no—
1040C2×C42—42no—
1041C2×C42—42no—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24C2514yes—
1165C24C2512yes—
1166C24C2511yescharacteristic
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8—44no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—28no—
1185C2×D4—28no—
1186C2×D4—28no—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—24no—
1190C2×D4—22no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—42no—
1199C2×D4—44no—
1200C2×D4—42no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4C2×#4114yes—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—28no—
1225C22×C4—24no—
1226C22×C4—28no—
1227C22×C4—42no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4C2×#4118yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4C2×#4114yes—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4C2×#4118yes—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—24no—
1400C42—28no—
1401C42—24no—
1402C42—24no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—24no—
1407C42—24no—
1408C42—24no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—24no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—24no—
1418C42—22no—
1419C42—22no—
1420C42—24no—
1421C42—42no—
1422C42—41no—
1423C42—42no—
1424C42—41no—
1425C42—41no—
1426C42—41no—
1427C42—41no—
1428C42—41no—
1429C42—41no—
1430C42—41no—
1431C42—41no—
1432C42—41no—
1433C42—42no—
1434C42—44no—
1435C42—44no—
1436C42—42no—
1437C42—44no—
1438C42—44no—
1439C42C2×#4114yes—
1440C42H(5,𝔽2)14yes—
1441C422−1+414yes—
1442C23—21no—
1443C23—22no—
1444C23—21no—
1445C23—22no—
1446C23—21no—
1447C23—22no—
1448C23—21no—
1449C23—21no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—21no—
1454C23—24no—
1455C23—24no—
1456C23—24no—
1457C23—24no—
1458C23—24no—
1459C23—24no—
1460C23—24no—
1461C23C22×#4114yes—
1462C23#58512yes—
1463C23C2611yescharacteristic
1464Q8—44no—
1465Q8—48no—
1466Q8—84no—
1467Q8—84no—
1468Q8—164no—
1469D4—28no—
1470D4—48no—
1471D4—48no—
1472D4—48no—
1473D4—84no—
1474D4—88no—
1475D4—88no—
1476D4—88no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—48no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—48no—
1569C2×C4—88no—
1570C2×C4—88no—
1571C2×C4—84no—
1572C2×C4—88no—
1573C2×C4—88no—
1574C2×C4—164no—
1575C2×C4C22×#4112yes—
1576C2×C4C22×#4114yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4C2×H(5,𝔽2)12yes—
1580C2×C4C2×H(5,𝔽2)12yes—
1581C2×C4C2×H(5,𝔽2)12yes—
1582C2×C4C2×2−1+412yes—
1583C2×C4C2×2−1+412yes—
1584C2×C4C2×2−1+412yes—
1585C2×C4#58512yes—
1586C2×C4#58512yes—
1587C2×C4#58512yes—
1588C22—24no—
1589C22—24no—
1590C22—22no—
1591C22—24no—
1592C22—22no—
1593C22—22no—
1594C22—42no—
1595C22—41no—
1596C22—41no—
1597C22—42no—
1598C22—41no—
1599C22—41no—
1600C22—42no—
1601C22—42no—
1602C22—44no—
1603C22—44no—
1604C22—44no—
1605C22—44no—
1606C22—44no—
1607C22—44no—
1608C22—44no—
1609C22C23×#4111yescharacteristic
1610C22C22×H(5,𝔽2)11yescharacteristic
1611C22C22×2−1+411yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22C2×#58511yescharacteristic
1614C22C2×#58511yescharacteristic
1615C22C2×#58511yescharacteristic
1616C4—22no—
1617C4—22no—
1618C4—22no—
1619C4—24no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—41no—
1624C4—42no—
1625C4—42no—
1626C4—44no—
1627C4—42no—
1628C4—42no—
1629C4—41no—
1630C4—42no—
1631C4—42no—
1632C4—41no—
1633C4—44no—
1634C4—42no—
1635C4—41no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—41no—
1640C4—42no—
1641C4—42no—
1642C4—44no—
1643C4—42no—
1644C4—42no—
1645C4—41no—
1646C4#351114yes—
1647C4#355714yes—
1648C2—44no—
1649C2—42no—
1650C2—84no—
1651C2C2×#355711yescharacteristic
1652C2#6274811yescharacteristic
1653C2#6278111yescharacteristic
1654C2C2×#351111yescharacteristic
1655C2#6281611yescharacteristic
1656C2#6283011yescharacteristic
1657C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39148C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59647C2semidirect
2. #59466C2semidirect
3. #59464C2semidirect
4. #59437C2semidirect
5. #59086C2semidirect
6. #59073C2semidirect
7. #46110C2semidirect
8. #46068C2semidirect
9. #46049C2semidirect
10. #40316C2semidirect
11. #40240C2semidirect
12. #40102C2semidirect
13. #40052C2semidirect
14. #39930C2semidirect
15. #39857C2semidirect
16. #39163C2semidirect
18. #39146C2semidirect
19. #38981C2semidirect
20. #38943C2semidirect
21. #38941C2semidirect
22. #37581C2semidirect
23. #37015C2semidirect
24. #36635C2semidirect
25. #36631C2semidirect
26. #36535C2semidirect
27. #36469C2semidirect
28. #36301C2semidirect
29. #36294C2semidirect
30. #36271C2semidirect
31. #36261C2semidirect
32. #35107C2semidirect
33. #35029C2semidirect
34. #34500C2semidirect
35. C4×#529C2semidirect

Maximal subgroups

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

subgroupindex
#596472
#594662
#594642
#594372
#590862
#590732
#461102
#460682
#460492
#403162
#402402
#401022
#400522
#399302
#398572
#391632
#391482
#391462
#389812
#389432
#389412
#375812
#370152
#366352
#366312
#365352
#364692
#363012
#362942
#362712
#362612
#351072
#350292
#345002
C4×#5292