Finite Group Databasebeta

← #7986136

Subgroups — #7986136

Order 512.

4680 conjugacy classes of subgroups.

The subgroup lattice has 1665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59870C211yesmaximal, characteristic, complemented
2#59564C212yesmaximal, complemented
3#59305C211yesmaximal, characteristic, complemented
4#59298C212yesmaximal, complemented
5#59235C211yesmaximal, characteristic, complemented
6#50397C214yesmaximal, complemented
7#49315C214yesmaximal, complemented
8#45543C214yesmaximal, complemented
9#45024C212yesmaximal, complemented
10#45017C212yesmaximal, complemented
11#44983C212yesmaximal, complemented
12#44978C212yesmaximal, complemented
13#42591C212yesmaximal, complemented
14#42552C212yesmaximal, complemented
15#42501C212yesmaximal, complemented
16#42464C212yesmaximal, complemented
17#39192C211yesmaximal, characteristic, complemented
18#39157C211yesmaximal, characteristic, complemented
19#38965C211yesmaximal, characteristic, complemented
20#38922C211yesmaximal, characteristic, complemented
21#38387C214yesmaximal, complemented
22#38261C212yesmaximal, complemented
23#37987C212yesmaximal, complemented
24#36411C211yesmaximal, characteristic, complemented
25#36287C211yesmaximal, characteristic, complemented
26#36181C211yesmaximal, characteristic, complemented
27#36118C212yesmaximal, complemented
28#36114C212yesmaximal, complemented
29#35203C212yesmaximal, complemented
30#35159C212yesmaximal, complemented
31#34800C211yesmaximal, characteristic, complemented
32#34724C211yesmaximal, characteristic, complemented
33#34485C211yesmaximal, characteristic, complemented
34#34384C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#552C2212yes—
38C2×#529C2211yescharacteristic
39C2×#529C2214yes—
40C2×C4×#41C2211yescharacteristic
41#2859C2212yes—
42#2859C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2854C2212yes—
46#2853C2214yes—
47#2851C2214yes—
48#2851C2214yes—
49#2827C2214yes—
50#2826C2214yes—
51#2805C2214yes—
52#2800C2214yes—
53#2796C2214yes—
54#2791C2214yes—
55#2790C2214yes—
56#2783C2214yes—
57#2783C2214yes—
58#2781C2214yes—
59#2778C2214yes—
60#2777C2214yes—
61#2772C2214yes—
62#2772C2214yes—
63#2771C2214yes—
64#2770C2214yes—
65#2768C2214yes—
66#2767C2214yes—
67#2765C2214yes—
68#2765C2214yes—
69#2762C2214yes—
70#2761C2214yes—
71#2750C2214yes—
72#2744C2214yes—
73#2744C2214yes—
74#2743C2214yes—
75#2727C2214yes—
76#2725C2214yes—
77#2718C2214yes—
78#2715C2214yes—
79#2704C2214yes—
80#2703C2214yes—
81#2702C2214yes—
82#2689C2214yes—
83#2672C2214yes—
84#2652C2214yes—
85#2649C2214yes—
86#2646C2214yes—
87#2646C2214yes—
88#2645C2212yes—
89#2636C2214yes—
90#2630C2214yes—
91#2629C2212yes—
92#2625C2212yes—
93#2624C2212yes—
94#2612C2214yes—
95#2612C2214yes—
96#2611C2214yes—
97#2609C2214yes—
98#2604C2214yes—
99#2602C2214yes—
100#2584C2212yes—
101#2581C2214yes—
102#2579C2214yes—
103#2575C2214yes—
104#2571C2212yes—
105#2571C2212yes—
106#2568C2212yes—
107#2567C2211yescharacteristic
108#2567C2211yescharacteristic
109#2566C2212yes—
110#2565C2212yes—
111#2562C2212yes—
112#2558C2214yes—
113#2556C2214yes—
114#2552C2211yescharacteristic
115#2552C2211yescharacteristic
116#2538C2211yescharacteristic
117#2538C2212yes—
118#2538C2211yescharacteristic
119#2537C2212yes—
120#2533C2214yes—
121#2532C2212yes—
122#2531C2214yes—
123#2530C2214yes—
124#2529C2214yes—
125#2528C2214yes—
126#2526C2212yes—
127#2526C2214yes—
128#2518C2212yes—
129#2515C2214yes—
130#2513C2212yes—
131#2513C2211yescharacteristic
132#2512C2212yes—
133#2511C2212yes—
134#2511C2212yes—
135#2509C2212yes—
136#2509C2212yes—
137#2509C2214yes—
138#2509C2212yes—
139#2509C2212yes—
140#2508C2211yescharacteristic
141#2508C2212yes—
142#2508C2214yes—
143#2507C2212yes—
144#2507C2212yes—
145#2507C2212yes—
146#2507C2214yes—
147#2506C2212yes—
148#2506C2212yes—
149#2506C2212yes—
150#2506C2214yes—
151#2503C2212yes—
152#2502C2212yes—
153#2500C2211yescharacteristic
154#2499C2212yes—
155#2497C2212yes—
156#2497C2212yes—
157#2497C2212yes—
158#2497C2211yescharacteristic
159#2496C2212yes—
160#2496C2212yes—
161#2496C2212yes—
162#2496C2212yes—
163#2496C2212yes—
164#2494C2212yes—
165#2491C2211yescharacteristic
166#2489C2212yes—
167#2489C2212yes—
168#2486C2212yes—
169#2486C2212yes—
170#2485C2211yescharacteristic
171#2485C2212yes—
172#2485C2212yes—
173#2478C2212yes—
174#2475C2214yes—
175#2474C2214yes—
176#2474C2214yes—
177#2470C2214yes—
178#2470C2214yes—
179#2470C2212yes—
180#2469C2214yes—
181#2468C2214yes—
182#2466C2214yes—
183#2466C2214yes—
184#2466C2212yes—
185#2461C2214yes—
186#2459C2212yes—
187#2455C2212yes—
188#2454C2212yes—
189#2453C2211yescharacteristic
190#2450C2214yes—
191#2447C2211yescharacteristic
192#2444C2214yes—
193#2442C2212yes—
194#2441C2212yes—
195#2441C2212yes—
196#2441C2212yes—
197#2441C2211yescharacteristic
198#2440C2212yes—
199#2439C2211yescharacteristic
200#2432C2211yescharacteristic
201#2429C2212yes—
202#2429C2211yescharacteristic
203#2427C2212yes—
204#2423C2212yes—
205#2422C2211yescharacteristic
206#2422C2212yes—
207#2421C2214yes—
208#2420C2214yes—
209#2420C2212yes—
210#2417C2212yes—
211#2417C2212yes—
212#2416C2212yes—
213#2415C2212yes—
214#2415C2211yescharacteristic
215#2414C2212yes—
216#2414C2211yescharacteristic
217#2407C2212yes—
218#2407C2211yescharacteristic
219#2398C2212yes—
220#2395C2212yes—
221#2392C2212yes—
222#2392C2212yes—
223#2383C2214yes—
224#2379C2214yes—
225#2370C2212yes—
226#2369C2211yescharacteristic
227#2365C2212yes—
228#2362C2212yes—
229#2361C2212yes—
230#2361C2212yes—
231#2361C2212yes—
232#2361C2212yes—
233#2360C2212yes—
234#2355C2211yescharacteristic
235#2355C2211yescharacteristic
236#2355C2211yescharacteristic
237#2354C2212yes—
238#2354C2211yescharacteristic
239#2354C2212yes—
240#2352C2212yes—
241#2352C2212yes—
242#2352C2212yes—
243Q8×C4⋊C4C2212yes—
244Q8×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2212yes—
246D4×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2212yes—
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250#2347C2212yes—
251#2346C2214yes—
252#2346C2212yes—
253#2346C2212yes—
254#2346C2212yes—
255#2344C2212yes—
256#2344C2212yes—
257#2344C2212yes—
258#2343C2214yes—
259#2339C2212yes—
260#2330C2212yes—
261#2330C2212yes—
262#2326C2212yes—
263#2326C2214yes—
264#2324C2212yes—
265#2324C2212yes—
266#2323C2212yes—
267#2322C2214yes—
268#2317C2212yes—
269#2317C2212yes—
270#2317C2212yes—
271#2316C2212yes—
272#2316C2212yes—
273#2314C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×#124C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×#123C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283#2298C2212yes—
284#2296C2212yes—
285#2296C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic
290#2290C2214yes—
291#2285C2211yescharacteristic
292C2×#384C2211yescharacteristic
293#2283C2212yes—
294#2283C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300#555—28no—
301#552—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305#529—28no—
306#529—416no—
307C2×#126C2312yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#124C2311yescharacteristic
318C2×#124C2314yes—
319C2×#124C2312yes—
320C2×#123C2312yes—
321C2×#123C2312yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2314yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2314yes—
338C4×#41—28no—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2314yes—
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2314yes—
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C42C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2314yes—
386#401C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
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#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#399C2314yes—
410#399C2314yes—
411#399C2312yes—
412#399C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2312yes—
460#396C2312yes—
461#396C2312yes—
462#396C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2314yes—
482#394C2312yes—
483#393C2312yes—
484#393C2312yes—
485#392C2314yes—
486#392C2312yes—
487#392C2312yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2314yes—
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2314yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2311yescharacteristic
531#389C2314yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#387C2314yes—
620#387C2314yes—
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#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2314yes—
704#384C2312yes—
705#384C2312yes—
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2312yes—
709#383C2314yes—
710#383C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2311yescharacteristic
719#382C2314yes—
720#382C2314yes—
721#382C2314yes—
722#382C2312yes—
723#382C2314yes—
724#382C2312yes—
725#381C2312yes—
726#381C2312yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2314yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809#376C2312yes—
810#376C2314yes—
811#376C2314yes—
812C2×#95C2314yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C2×#41—24no—
816C2×#41—42no—
817C2×#41—42no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C4⋊Q8—24no—
845C4⋊Q8—24no—
846C4⋊Q8—42no—
847#126—28no—
848#126—48no—
849#126—48no—
850#126—48no—
851#125—24no—
852#125—44no—
853#125—44no—
854#125—48no—
855#125—48no—
856#125—44no—
857#124—24no—
858#124—216no—
859#124—28no—
860#123—28no—
861#123—28no—
862#123—48no—
863#123—48no—
864C22⋊Q8—24no—
865C22⋊Q8—44no—
866C22⋊Q8—48no—
867C22⋊Q8—44no—
868C22⋊Q8—42no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—42no—
872#121—24no—
873#121—28no—
874#121—28no—
875#121—24no—
876#121—48no—
877#121—42no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—48no—
885C4×D4—24no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—48no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—42no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—48no—
900C4×D4—48no—
901C4×D4#4118yes—
902#117—28no—
903#117—28no—
904#117—24no—
905#117—28no—
906#117—24no—
907#117—28no—
908#117—216no—
909#117—44no—
910#117—44no—
911#117—44no—
912#117—48no—
913#117—42no—
914#117—44no—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C42—28no—
1051C2×C42—24no—
1052C2×C42—24no—
1053C2×C42—48no—
1054C2×C42C2414yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2414yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2411yescharacteristic
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2414yes—
1114#95C2414yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162C24C2512yes—
1163C24C2511yescharacteristic
1164C24C2512yes—
1165C24C2511yescharacteristic
1166#41—416no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—22no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—28no—
1185C2×D4—22no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—42no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—44no—
1201C2×D4—42no—
1202C2×D4C2×#4114yes—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—28no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—28no—
1229C22×C4—41no—
1230C22×C4—42no—
1231C22×C4—41no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—44no—
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×C4C2×#4118yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—28no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4C2×#4114yes—
1352C4⋊C42−1+414yes—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—22no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—41no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4C2×#4118yes—
1404C22⋊C4H(5,𝔽2)14yes—
1405C42—22no—
1406C42—24no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—24no—
1411C42—24no—
1412C42—22no—
1413C42—22no—
1414C42—28no—
1415C42—24no—
1416C42—24no—
1417C42—28no—
1418C42—28no—
1419C42—22no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—22no—
1429C42—44no—
1430C42—44no—
1431C42—42no—
1432C42—41no—
1433C42—44no—
1434C42—44no—
1435C42—42no—
1436C42—44no—
1437C42—44no—
1438C42C2×#4114yes—
1439C23—21no—
1440C23—22no—
1441C23—22no—
1442C23—21no—
1443C23—22no—
1444C23—21no—
1445C23—22no—
1446C23—22no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—22no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—21no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23C22×#4114yes—
1466C23C2×H(5,𝔽2)12yes—
1467C23C2611yescharacteristic
1468Q8—48no—
1469Q8—44no—
1470Q8—44no—
1471Q8—84no—
1472D4—28no—
1473D4—48no—
1474D4—48no—
1475D4—44no—
1476D4—48no—
1477D4—44no—
1478D4—88no—
1479D4—84no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—216no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
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—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—44no—
1564C2×C4—48no—
1565C2×C4—44no—
1566C2×C4—48no—
1567C2×C4—44no—
1568C2×C4—48no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—88no—
1573C2×C4—88no—
1574C2×C4—88no—
1575C2×C4—88no—
1576C2×C4C22×#4114yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4112yes—
1580C2×C4C2×H(5,𝔽2)12yes—
1581C2×C4C2×H(5,𝔽2)12yes—
1582C2×C4C2×2−1+414yes—
1583C2×C4C2×2−1+412yes—
1584C2×C4#58512yes—
1585C2×C4#58512yes—
1586C2×C4#58512yes—
1587C22—22no—
1588C22—24no—
1589C22—22no—
1590C22—22no—
1591C22—24no—
1592C22—24no—
1593C22—42no—
1594C22—42no—
1595C22—41no—
1596C22—41no—
1597C22—42no—
1598C22—41no—
1599C22—42no—
1600C22—41no—
1601C22—41no—
1602C22—42no—
1603C22—42no—
1604C22—41no—
1605C22—42no—
1606C22—41no—
1607C22—41no—
1608C22—42no—
1609C22—41no—
1610C22—42no—
1611C22—41no—
1612C22—42no—
1613C22—41no—
1614C22—42no—
1615C22C23×#4111yescharacteristic
1616C22C22×H(5,𝔽2)11yescharacteristic
1617C22C22×2−1+411yescharacteristic
1618C22C2×#58511yescharacteristic
1619C22C2×#58511yescharacteristic
1620C22C2×#58511yescharacteristic
1621C222−1+611yescharacteristic
1622C4—22no—
1623C4—22no—
1624C4—24no—
1625C4—22no—
1626C4—24no—
1627C4—42no—
1628C4—41no—
1629C4—42no—
1630C4—44no—
1631C4—44no—
1632C4—42no—
1633C4—44no—
1634C4—42no—
1635C4—42no—
1636C4—44no—
1637C4—41no—
1638C4—42no—
1639C4—41no—
1640C4—41no—
1641C4—42no—
1642C4—42no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4#349314yes—
1652C4#351514yes—
1653C2—42no—
1654C2—44no—
1655C2—81no—
1656C2—82no—
1657C2#6275911yescharacteristic
1658C2C2×#349311yescharacteristic
1659C2C2×#351511yescharacteristic
1660C2#6293911yescharacteristic
1661C2#6295311yescharacteristic
1662C2#6298511yescharacteristic
1663C2#6301311yescharacteristic
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. #59870C2semidirect
2. #59564C2semidirect
3. #59305C2semidirect
4. #59298C2semidirect
5. #59235C2semidirect
6. #50397C2semidirect
7. #49315C2semidirect
8. #45543C2semidirect
9. #45024C2semidirect
10. #45017C2semidirect
11. #44983C2semidirect
12. #44978C2semidirect
13. #42591C2semidirect
14. #42552C2semidirect
15. #42501C2semidirect
16. #42464C2semidirect
17. #39192C2semidirect
18. #39157C2semidirect
19. #38965C2semidirect
20. #38922C2semidirect
21. #38387C2semidirect
22. #38261C2semidirect
23. #37987C2semidirect
24. #36411C2semidirect
25. #36287C2semidirect
26. #36181C2semidirect
27. #36118C2semidirect
28. #36114C2semidirect
29. #35203C2semidirect
30. #35159C2semidirect
31. #34800C2semidirect
32. #34724C2semidirect
33. #34485C2semidirect
34. #34384C2semidirect
35. #34127C2semidirect

Maximal subgroups

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

subgroupindex
#598702
#595642
#593052
#592982
#592352
#503972
#493152
#455432
#450242
#450172
#449832
#449782
#425912
#425522
#425012
#424642
#391922
#391572
#389652
#389222
#383872
#382612
#379872
#364112
#362872
#361812
#361182
#361142
#352032
#351592
#348002
#347242
#344852
#343842
#341272