Finite Group Databasebeta

← #7987454

Subgroups — #7987454

Order 512.

4782 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59582C212yesmaximal, complemented
3#59329C211yesmaximal, characteristic, complemented
4#59281C212yesmaximal, complemented
5#59248C211yesmaximal, characteristic, complemented
6#49269C214yesmaximal, complemented
7#49157C214yesmaximal, complemented
8#45534C214yesmaximal, complemented
9#45012C212yesmaximal, complemented
10#45011C212yesmaximal, complemented
11#45009C212yesmaximal, complemented
12#45003C212yesmaximal, complemented
13#42598C212yesmaximal, complemented
14#42560C212yesmaximal, complemented
15#42503C212yesmaximal, complemented
16#42465C212yesmaximal, complemented
17#38976C211yesmaximal, characteristic, complemented
18#38964C211yesmaximal, characteristic, complemented
19#38941C211yesmaximal, characteristic, complemented
20#38909C211yesmaximal, characteristic, complemented
21#38377C214yesmaximal, complemented
22#38237C212yesmaximal, complemented
23#37984C212yesmaximal, complemented
24#36460C211yesmaximal, characteristic, complemented
25#36410C211yesmaximal, characteristic, complemented
26#36182C211yesmaximal, characteristic, complemented
27#36118C212yesmaximal, complemented
28#36113C212yesmaximal, complemented
29#35219C212yesmaximal, complemented
30#35160C212yesmaximal, complemented
31#34803C211yesmaximal, characteristic, complemented
32#34724C211yesmaximal, characteristic, complemented
33#34494C211yesmaximal, characteristic, complemented
34#34384C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#550C2211yescharacteristic
38C2×#529C2211yescharacteristic
39C2×#529C2214yes—
40C2×C4×#41C2211yescharacteristic
41#2860C2212yes—
42#2859C2211yescharacteristic
43#2856C2211yescharacteristic
44#2856C2211yescharacteristic
45#2854C2212yes—
46#2853C2214yes—
47#2852C2214yes—
48#2852C2214yes—
49#2824C2214yes—
50#2824C2214yes—
51#2808C2214yes—
52#2808C2214yes—
53#2798C2214yes—
54#2797C2214yes—
55#2794C2214yes—
56#2793C2214yes—
57#2789C2214yes—
58#2788C2214yes—
59#2787C2214yes—
60#2779C2214yes—
61#2778C2214yes—
62#2775C2214yes—
63#2766C2214yes—
64#2763C2214yes—
65#2761C2214yes—
66#2760C2214yes—
67#2751C2214yes—
68#2750C2214yes—
69#2750C2214yes—
70#2745C2214yes—
71#2743C2214yes—
72#2738C2214yes—
73#2737C2214yes—
74#2737C2214yes—
75#2720C2214yes—
76#2719C2214yes—
77#2696C2214yes—
78#2694C2214yes—
79#2691C2214yes—
80#2688C2214yes—
81#2686C2214yes—
82#2686C2214yes—
83#2671C2214yes—
84#2653C2214yes—
85#2649C2214yes—
86#2645C2212yes—
87#2643C2214yes—
88#2643C2214yes—
89#2640C2212yes—
90#2635C2214yes—
91#2630C2214yes—
92#2628C2212yes—
93#2624C2212yes—
94#2604C2214yes—
95#2599C2214yes—
96#2592C2212yes—
97#2592C2212yes—
98#2582C2211yescharacteristic
99#2582C2211yescharacteristic
100#2580C2212yes—
101#2578C2214yes—
102#2576C2214yes—
103#2576C2214yes—
104#2572C2214yes—
105#2572C2214yes—
106#2571C2211yescharacteristic
107#2570C2212yes—
108#2570C2212yes—
109#2569C2214yes—
110#2567C2212yes—
111#2566C2212yes—
112#2563C2212yes—
113#2563C2212yes—
114#2559C2214yes—
115#2553C2214yes—
116#2551C2211yescharacteristic
117#2548C2211yescharacteristic
118#2548C2211yescharacteristic
119#2547C2212yes—
120#2544C2212yes—
121#2533C2212yes—
122#2530C2214yes—
123#2527C2212yes—
124#2527C2214yes—
125#2526C2214yes—
126#2523C2212yes—
127#2514C2212yes—
128#2514C2211yescharacteristic
129#2514C2212yes—
130#2514C2212yes—
131#2513C2212yes—
132#2513C2212yes—
133#2513C2212yes—
134#2512C2212yes—
135#2512C2212yes—
136#2512C2212yes—
137#2511C2212yes—
138#2511C2212yes—
139#2511C2212yes—
140#2509C2211yescharacteristic
141#2508C2212yes—
142#2508C2212yes—
143#2506C2212yes—
144#2506C2212yes—
145#2504C2212yes—
146#2503C2212yes—
147#2503C2212yes—
148#2500C2212yes—
149#2500C2212yes—
150#2500C2214yes—
151#2499C2211yescharacteristic
152#2498C2214yes—
153#2497C2214yes—
154#2496C2211yescharacteristic
155#2496C2214yes—
156#2495C2214yes—
157#2494C2214yes—
158#2494C2212yes—
159#2494C2212yes—
160#2493C2214yes—
161#2492C2212yes—
162#2492C2212yes—
163#2492C2211yescharacteristic
164#2491C2212yes—
165#2491C2212yes—
166#2485C2214yes—
167#2485C2211yescharacteristic
168#2484C2214yes—
169#2478C2212yes—
170#2477C2214yes—
171#2476C2214yes—
172#2476C2214yes—
173#2475C2214yes—
174#2474C2214yes—
175#2470C2212yes—
176#2469C2214yes—
177#2468C2214yes—
178#2466C2212yes—
179#2466C2212yes—
180#2464C2214yes—
181#2460C2214yes—
182#2459C2214yes—
183#2458C2214yes—
184#2457C2214yes—
185#2455C2212yes—
186#2454C2212yes—
187#2453C2211yescharacteristic
188#2452C2212yes—
189#2450C2214yes—
190#2447C2211yescharacteristic
191#2446C2212yes—
192#2445C2212yes—
193#2444C2214yes—
194#2441C2211yescharacteristic
195#2440C2212yes—
196#2439C2212yes—
197#2439C2211yescharacteristic
198#2432C2211yescharacteristic
199#2431C2212yes—
200#2429C2211yescharacteristic
201#2428C2212yes—
202#2427C2212yes—
203#2427C2212yes—
204#2426C2212yes—
205#2422C2211yescharacteristic
206#2422C2212yes—
207#2422C2212yes—
208#2420C2212yes—
209#2420C2212yes—
210#2416C2212yes—
211#2416C2212yes—
212#2416C2212yes—
213#2415C2211yescharacteristic
214#2415C2211yescharacteristic
215#2414C2212yes—
216#2407C2212yes—
217#2407C2212yes—
218#2407C2211yescharacteristic
219#2401C2212yes—
220#2398C2212yes—
221#2395C2212yes—
222#2392C2212yes—
223#2383C2214yes—
224#2377C2214yes—
225#2367C2212yes—
226#2366C2212yes—
227#2366C2211yescharacteristic
228#2365C2212yes—
229#2365C2212yes—
230#2363C2212yes—
231#2363C2212yes—
232#2361C2212yes—
233#2361C2212yes—
234#2361C2212yes—
235#2361C2212yes—
236#2360C2212yes—
237#2357C2212yes—
238#2355C2211yescharacteristic
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2354C2212yes—
243#2354C2212yes—
244#2354C2211yescharacteristic
245#2353C2214yes—
246#2352C2212yes—
247#2352C2212yes—
248#2352C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250#2349C2212yes—
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254#2347C2212yes—
255#2344C2212yes—
256#2344C2212yes—
257#2343C2214yes—
258#2339C2212yes—
259#2339C2212yes—
260#2330C2212yes—
261#2328C2212yes—
262#2326C2212yes—
263#2325C2214yes—
264#2324C2212yes—
265#2322C2214yes—
266#2320C2212yes—
267#2319C2212yes—
268#2319C2212yes—
269#2317C2212yes—
270#2317C2212yes—
271#2314C2212yes—
272#2311C2212yes—
273#2311C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#126C2212yes—
278C4×#124C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#123C2212yes—
284#2297C2212yes—
285#2296C2212yes—
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2295C2212yes—
289#2293C2211yescharacteristic
290#2290C2214yes—
291#2285C2211yescharacteristic
292C2×#384C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2212yes—
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301#553—48no—
302#550—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309#529—28no—
310#529—416no—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#124C2311yescharacteristic
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#123C2312yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2314yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C4×#41—28no—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2314yes—
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2314yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C42C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2314yes—
389#401C2314yes—
390#401C2312yes—
391#401C2314yes—
392#401C2314yes—
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#400C2312yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#394C2312yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2312yes—
473#394C2312yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2312yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2312yes—
487#392C2314yes—
488#392C2314yes—
489#392C2312yes—
490#392C2314yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2314yes—
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#390C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
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#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
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#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2314yes—
703#384C2312yes—
704#384C2312yes—
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2311yescharacteristic
708#383C2312yes—
709#383C2314yes—
710#383C2314yes—
711#383C2314yes—
712#383C2312yes—
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2311yescharacteristic
722#382C2314yes—
723#382C2314yes—
724#382C2312yes—
725#381C2312yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2312yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C2×#41—24no—
816C2×#41—28no—
817C2×#41—42no—
818C2×#41—42no—
819C2×#41—44no—
820C2×#41—44no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2414yes—
825C22×Q8C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C4⋊Q8—44no—
853C4⋊Q8—42no—
854C4⋊Q8—44no—
855C4⋊Q8—42no—
856#127—28no—
857#127—24no—
858#126—28no—
859#126—28no—
860#126—48no—
861#126—48no—
862#125—24no—
863#125—44no—
864#125—48no—
865#124—24no—
866#124—44no—
867#124—44no—
868#124—48no—
869#123—28no—
870#123—28no—
871#123—48no—
872#123—48no—
873C22⋊Q8—24no—
874C22⋊Q8—48no—
875C22⋊Q8—42no—
876C22⋊Q8—42no—
877C22⋊Q8—42no—
878C22⋊Q8—42no—
879#121—24no—
880#121—28no—
881#121—216no—
882#121—44no—
883#121—48no—
884#121—44no—
885#121—44no—
886#121—44no—
887#121—44no—
888#121—48no—
889#121—44no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—44no—
895C4×Q8—48no—
896C4×Q8—44no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—216no—
903C4×D4—24no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—44no—
913C4×D4—48no—
914C4×D4—48no—
915C4×D4#4118yes—
916#117—28no—
917#117—24no—
918#117—28no—
919#117—44no—
920#117—44no—
921#117—48no—
922#117—42no—
923#117—42no—
924#117—44no—
925#117—48no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C42—28no—
1053C2×C42—24no—
1054C2×C42—24no—
1055C2×C42—48no—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167C24C2511yescharacteristic
1168C24C2514yes—
1169C24C2512yes—
1170C24C2511yescharacteristic
1171#41—416no—
1172#41—816no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—44no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8—42no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—22no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—28no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4C2×#4114yes—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—28no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4C2×#4118yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2514yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2514yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4C2×#4114yes—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—22no—
1375C22⋊C4—24no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4C2×#4118yes—
1417C22⋊C4H(5,𝔽2)14yes—
1418C42—22no—
1419C42—22no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—28no—
1431C42—22no—
1432C42—22no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—44no—
1441C42—44no—
1442C42—42no—
1443C42—41no—
1444C42—44no—
1445C42—42no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42C2×#4114yes—
1451C23—21no—
1452C23—22no—
1453C23—21no—
1454C23—21no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—21no—
1464C23—24no—
1465C23—24no—
1466C23—21no—
1467C23—21no—
1468C23—24no—
1469C23—21no—
1470C23—24no—
1471C23—21no—
1472C23—24no—
1473C23—24no—
1474C23—21no—
1475C23—21no—
1476C23—24no—
1477C23C22×#4114yes—
1478C23C2×H(5,𝔽2)12yes—
1479C23C2611yescharacteristic
1480Q8—44no—
1481Q8—44no—
1482Q8—44no—
1483Q8—88no—
1484Q8—84no—
1485D4—28no—
1486D4—48no—
1487D4—44no—
1488D4—48no—
1489D4—48no—
1490D4—48no—
1491D4—84no—
1492D4—88no—
1493D4—88no—
1494D4—88no—
1495D4—164no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—216no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—44no—
1581C2×C4—48no—
1582C2×C4—44no—
1583C2×C4—48no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—88no—
1589C2×C4—88no—
1590C2×C4—88no—
1591C2×C4—88no—
1592C2×C4—88no—
1593C2×C4—164no—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4114yes—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4C2×H(5,𝔽2)12yes—
1599C2×C4C2×H(5,𝔽2)12yes—
1600C2×C4#58512yes—
1601C2×C4#58512yes—
1602C2×C4#58512yes—
1603C2×C4#58512yes—
1604C22—22no—
1605C22—24no—
1606C22—22no—
1607C22—22no—
1608C22—24no—
1609C22—24no—
1610C22—42no—
1611C22—42no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—42no—
1616C22—41no—
1617C22—42no—
1618C22—41no—
1619C22—44no—
1620C22—41no—
1621C22—44no—
1622C22—44no—
1623C22—41no—
1624C22—41no—
1625C22—44no—
1626C22—41no—
1627C22—44no—
1628C22—44no—
1629C22—41no—
1630C22—44no—
1631C22—41no—
1632C22C23×#4111yescharacteristic
1633C22C22×H(5,𝔽2)11yescharacteristic
1634C22C2×#58511yescharacteristic
1635C22C2×#58511yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22C2×#58511yescharacteristic
1638C222−1+611yescharacteristic
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—24no—
1643C4—42no—
1644C4—41no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—44no—
1649C4—41no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—44no—
1654C4—44no—
1655C4—41no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—41no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—41no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4#349314yes—
1669C4#352114yes—
1670C2—42no—
1671C2—44no—
1672C2—81no—
1673C2—84no—
1674C2#6275911yescharacteristic
1675C2C2×#349311yescharacteristic
1676C2C2×#352111yescharacteristic
1677C2#6296711yescharacteristic
1678C2#6296811yescharacteristic
1679C2#6298511yescharacteristic
1680C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59863C2semidirect
2. #59582C2semidirect
3. #59329C2semidirect
4. #59281C2semidirect
5. #59248C2semidirect
6. #49269C2semidirect
7. #49157C2semidirect
8. #45534C2semidirect
9. #45012C2semidirect
10. #45011C2semidirect
11. #45009C2semidirect
12. #45003C2semidirect
13. #42598C2semidirect
14. #42560C2semidirect
15. #42503C2semidirect
16. #42465C2semidirect
17. #38976C2semidirect
18. #38964C2semidirect
19. #38941C2semidirect
20. #38909C2semidirect
21. #38377C2semidirect
22. #38237C2semidirect
23. #37984C2semidirect
24. #36460C2semidirect
25. #36410C2semidirect
26. #36182C2semidirect
27. #36118C2semidirect
28. #36113C2semidirect
29. #35219C2semidirect
30. #35160C2semidirect
31. #34803C2semidirect
32. #34724C2semidirect
33. #34494C2semidirect
34. #34384C2semidirect
35. #34127C2semidirect

Maximal subgroups

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

subgroupindex
#598632
#595822
#593292
#592812
#592482
#492692
#491572
#455342
#450122
#450112
#450092
#450032
#425982
#425602
#425032
#424652
#389762
#389642
#389412
#389092
#383772
#382372
#379842
#364602
#364102
#361822
#361182
#361132
#352192
#351602
#348032
#347242
#344942
#343842
#341272