Finite Group Databasebeta

← #7987206

Subgroups — #7987206

Order 512.

4695 conjugacy classes of subgroups.

The subgroup lattice has 1669 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59464C211yesmaximal, characteristic, complemented
2#59303C211yesmaximal, characteristic, complemented
3#59295C212yesmaximal, complemented
4#59233C211yesmaximal, characteristic, complemented
5#59120C212yesmaximal, complemented
6#51474C214yesmaximal, complemented
7#50817C214yesmaximal, complemented
8#46019C212yesmaximal, complemented
9#45609C212yesmaximal, complemented
10#45219C212yesmaximal, complemented
11#45157C212yesmaximal, complemented
12#44091C214yesmaximal, complemented
13#42928C212yesmaximal, complemented
14#42754C212yesmaximal, complemented
15#41748C214yesmaximal, complemented
16#40102C212yesmaximal, complemented
17#39902C212yesmaximal, complemented
18#39737C211yesmaximal, characteristic, complemented
19#39657C212yesmaximal, complemented
20#39534C212yesmaximal, complemented
21#38940C211yesmaximal, characteristic, complemented
22#37758C212yesmaximal, complemented
23#36473C211yesmaximal, characteristic, complemented
24#36407C211yesmaximal, characteristic, complemented
25#36407C211yesmaximal, characteristic, complemented
26#36194C212yesmaximal, complemented
27#36189C211yesmaximal, characteristic, complemented
28#36186C211yesmaximal, characteristic, complemented
29#35275C211yesmaximal, characteristic, complemented
30#35239C211yesmaximal, characteristic, complemented
31#35047C212yesmaximal, complemented
32#34932C211yesmaximal, characteristic, complemented
33#34917C211yesmaximal, characteristic, complemented
34#34463C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#553C2211yescharacteristic
38C2×#552C2212yes—
39C2×#544C2212yes—
40C2×#529C2212yes—
41#2868C2212yes—
42#2860C2212yes—
43#2859C2211yescharacteristic
44#2859C2212yes—
45#2857C2211yescharacteristic
46#2857C2212yes—
47#2857C2212yes—
48#2857C2212yes—
49#2857C2211yescharacteristic
50#2854C2212yes—
51#2851C2212yes—
52#2832C2214yes—
53#2823C2214yes—
54#2798C2214yes—
55#2795C2214yes—
56#2793C2214yes—
57#2785C2214yes—
58#2783C2214yes—
59#2777C2214yes—
60#2775C2214yes—
61#2774C2214yes—
62#2772C2214yes—
63#2767C2214yes—
64#2755C2214yes—
65#2745C2214yes—
66#2742C2214yes—
67#2741C2214yes—
68#2737C2214yes—
69#2731C2214yes—
70#2729C2214yes—
71#2725C2214yes—
72#2723C2214yes—
73#2719C2214yes—
74#2718C2214yes—
75#2716C2214yes—
76#2706C2214yes—
77#2702C2214yes—
78#2700C2214yes—
79#2696C2214yes—
80#2695C2214yes—
81#2692C2214yes—
82#2691C2214yes—
83#2681C2214yes—
84#2676C2214yes—
85#2674C2214yes—
86#2672C2214yes—
87#2666C2214yes—
88#2665C2214yes—
89#2660C2214yes—
90#2650C2214yes—
91#2649C2214yes—
92#2640C2212yes—
93#2637C2214yes—
94#2636C2214yes—
95#2620C2212yes—
96#2610C2214yes—
97#2604C2214yes—
98#2596C2214yes—
99#2591C2214yes—
100#2588C2214yes—
101#2578C2212yes—
102#2576C2212yes—
103#2574C2214yes—
104#2574C2214yes—
105#2571C2211yescharacteristic
106#2571C2214yes—
107#2570C2212yes—
108#2570C2211yescharacteristic
109#2570C2212yes—
110#2568C2212yes—
111#2566C2211yescharacteristic
112#2563C2212yes—
113#2563C2212yes—
114#2563C2212yes—
115#2562C2212yes—
116#2562C2211yescharacteristic
117#2558C2214yes—
118#2556C2214yes—
119#2556C2214yes—
120#2553C2214yes—
121#2552C2211yescharacteristic
122#2552C2211yescharacteristic
123#2552C2211yescharacteristic
124#2552C2212yes—
125#2551C2212yes—
126#2551C2211yescharacteristic
127#2551C2211yescharacteristic
128#2551C2211yescharacteristic
129#2550C2212yes—
130#2550C2212yes—
131#2547C2211yescharacteristic
132#2542C2211yescharacteristic
133#2538C2214yes—
134#2537C2211yescharacteristic
135#2535C2211yescharacteristic
136#2533C2214yes—
137#2528C2214yes—
138#2521C2214yes—
139#2520C2214yes—
140#2519C2214yes—
141#2519C2214yes—
142#2515C2212yes—
143#2512C2212yes—
144#2511C2212yes—
145#2511C2212yes—
146#2509C2212yes—
147#2508C2212yes—
148#2507C2212yes—
149#2506C2212yes—
150#2500C2212yes—
151#2500C2212yes—
152#2498C2214yes—
153#2497C2212yes—
154#2497C2212yes—
155#2497C2211yescharacteristic
156#2497C2212yes—
157#2497C2212yes—
158#2496C2212yes—
159#2496C2212yes—
160#2495C2212yes—
161#2494C2211yescharacteristic
162#2492C2214yes—
163#2492C2212yes—
164#2492C2212yes—
165#2492C2214yes—
166#2491C2212yes—
167#2491C2212yes—
168#2491C2212yes—
169#2489C2212yes—
170#2489C2212yes—
171#2489C2214yes—
172#2487C2212yes—
173#2485C2212yes—
174#2485C2212yes—
175#2479C2214yes—
176#2477C2214yes—
177#2477C2214yes—
178#2475C2214yes—
179#2468C2214yes—
180#2460C2214yes—
181#2457C2212yes—
182#2455C2214yes—
183#2454C2212yes—
184#2454C2212yes—
185#2453C2212yes—
186#2452C2212yes—
187#2452C2212yes—
188#2451C2212yes—
189#2448C2212yes—
190#2442C2212yes—
191#2442C2212yes—
192#2441C2212yes—
193#2441C2212yes—
194#2441C2212yes—
195#2441C2212yes—
196#2440C2212yes—
197#2440C2214yes—
198#2440C2212yes—
199#2440C2212yes—
200#2439C2212yes—
201#2439C2214yes—
202#2439C2214yes—
203#2439C2212yes—
204#2439C2212yes—
205#2438C2214yes—
206#2427C2212yes—
207#2427C2214yes—
208#2426C2212yes—
209#2423C2212yes—
210#2422C2212yes—
211#2422C2211yescharacteristic
212#2420C2211yescharacteristic
213#2417C2212yes—
214#2417C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2415C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2401C2212yes—
221#2395C2214yes—
222#2392C2212yes—
223#2383C2214yes—
224#2379C2214yes—
225#2374C2212yes—
226#2373C2212yes—
227#2373C2214yes—
228#2370C2212yes—
229#2370C2212yes—
230#2370C2211yescharacteristic
231#2369C2212yes—
232#2369C2212yes—
233#2369C2212yes—
234#2365C2211yescharacteristic
235#2365C2211yescharacteristic
236#2364C2212yes—
237#2363C2211yescharacteristic
238#2362C2212yes—
239#2362C2212yes—
240#2361C2211yescharacteristic
241#2360C2212yes—
242#2357C2211yescharacteristic
243#2355C2214yes—
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248#2354C2214yes—
249#2353C2212yes—
250#2352C2212yes—
251#2352C2211yescharacteristic
252#2352C2212yes—
253#2352C2212yes—
254#2351C2212yes—
255#2347C2211yescharacteristic
256#2346C2212yes—
257#2346C2212yes—
258#2345C2212yes—
259#2345C2211yescharacteristic
260#2337C2214yes—
261#2335C2214yes—
262#2334C2214yes—
263#2334C2214yes—
264#2331C2212yes—
265#2330C2212yes—
266#2323C2212yes—
267#2320C2214yes—
268#2320C2212yes—
269#2317C2212yes—
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2212yes—
272C4×#125C2211yescharacteristic
273C4×#125C2211yescharacteristic
274C4×#126C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×#123C2212yes—
277C4×#123C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284#2296C2212yes—
285#2296C2212yes—
286#2290C2212yes—
287#2285C2211yescharacteristic
288#2285C2212yes—
289#2285C2211yescharacteristic
290#2285C2212yes—
291C2×#384C2211yescharacteristic
292#2283C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#556—216no—
300#553—28no—
301#552—48no—
302#544—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2314yes—
312#529—48no—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2312yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2314yes—
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2314yes—
377C2×#117C2314yes—
378C2×#117C2312yes—
379C2×#117C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2312yes—
388C22×C42C2312yes—
389C22×C42C2312yes—
390#401C2312yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#397C2312yes—
427#397C2312yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#396C2312yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#392C2314yes—
483#392C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2314yes—
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2314yes—
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2312yes—
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
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#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2311yescharacteristic
676#384C2314yes—
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2314yes—
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#383C2312yes—
688#383C2314yes—
689#383C2312yes—
690#382C2311yescharacteristic
691#382C2311yescharacteristic
692#382C2314yes—
693#382C2314yes—
694#382C2314yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2311yescharacteristic
701#382C2314yes—
702#382C2314yes—
703#382C2314yes—
704#382C2314yes—
705#382C2312yes—
706#381C2312yes—
707#381C2312yes—
708#381C2312yes—
709#380C2311yescharacteristic
710#380C2311yescharacteristic
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2314yes—
811#376C2312yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2414yes—
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C22×D4C2411yescharacteristic
820C22×D4C2411yescharacteristic
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2414yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C4⋊Q8—28no—
843C4⋊Q8—24no—
844C4⋊Q8—44no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848C4⋊Q8—48no—
849C4⋊Q8—44no—
850C4⋊Q8—84no—
851#126—216no—
852#126—28no—
853#126—216no—
854#126—48no—
855#126—48no—
856#125—24no—
857#125—28no—
858#125—28no—
859#125—44no—
860#125—42no—
861#125—48no—
862#125—48no—
863#125—82no—
864#124—216no—
865#124—44no—
866#124—84no—
867#123—28no—
868#123—28no—
869#123—48no—
870#123—48no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—44no—
877C22⋊Q8—84no—
878C22⋊Q8—84no—
879C22⋊Q8—84no—
880#121—24no—
881#121—24no—
882#121—28no—
883#121—44no—
884#121—42no—
885#121—42no—
886#121—44no—
887#121—84no—
888C4×Q8—28no—
889C4×Q8—216no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—42no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—48no—
908#117—28no—
909#117—24no—
910#117—44no—
911#117—44no—
912#117—44no—
913#117—48no—
914#117—44no—
915#117—48no—
916#117—82no—
917#117#4118yes—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—82no—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C42—24no—
1049C2×C42—24no—
1050C2×C42—44no—
1051C2×C42—44no—
1052C2×C42—44no—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2412yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24C2512yes—
1165C24C2512yes—
1166C24C2511yescharacteristic
1167C24C2511yescharacteristic
1168C2×Q8—24no—
1169C2×Q8—28no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—44no—
1173C2×Q8—44no—
1174C2×Q8—44no—
1175C2×Q8—44no—
1176C2×Q8—44no—
1177C2×Q8—44no—
1178C2×Q8—44no—
1179C2×Q8—44no—
1180C2×D4—22no—
1181C2×D4—24no—
1182C2×D4—22no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—42no—
1194C2×D4—41no—
1195C2×D4—44no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—44no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4C2×#4114yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2514yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—41no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4C2×#4114yes—
1352C4⋊C4C2×#4114yes—
1353C4⋊C4H(5,𝔽2)14yes—
1354C22⋊C4—22no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—22no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—22no—
1372C22⋊C4—24no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4C2×#4118yes—
1404C22⋊C42−1+414yes—
1405C42—28no—
1406C42—22no—
1407C42—24no—
1408C42—28no—
1409C42—22no—
1410C42—24no—
1411C42—24no—
1412C42—24no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—22no—
1421C42—22no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—24no—
1426C42—42no—
1427C42—42no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—42no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—41no—
1439C42—42no—
1440C42C2×#4118yes—
1441C422−1+414yes—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23C22×#4112yes—
1469C23C2×2−1+412yes—
1470C23C2611yescharacteristic
1471Q8—48no—
1472Q8—88no—
1473Q8—164no—
1474Q8—164no—
1475D4—48no—
1476D4—44no—
1477D4—44no—
1478D4—44no—
1479D4—84no—
1480D4—84no—
1481D4—84no—
1482D4—88no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—28no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—48no—
1565C2×C4—44no—
1566C2×C4—48no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—48no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—48no—
1573C2×C4—84no—
1574C2×C4—84no—
1575C2×C4—84no—
1576C2×C4—84no—
1577C2×C4—164no—
1578C2×C4C22×#4114yes—
1579C2×C4C22×#4112yes—
1580C2×C4C22×#4114yes—
1581C2×C4C22×#4112yes—
1582C2×C4C2×H(5,𝔽2)14yes—
1583C2×C4C2×H(5,𝔽2)12yes—
1584C2×C4C2×2−1+412yes—
1585C2×C4C2×2−1+412yes—
1586C2×C4C2×2−1+412yes—
1587C2×C4C2×2−1+412yes—
1588C2×C4C2×2−1+412yes—
1589C2×C4#58512yes—
1590C2×C4#58512yes—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22C23×#4111yescharacteristic
1620C22C22×H(5,𝔽2)11yescharacteristic
1621C22C22×2−1+411yescharacteristic
1622C22C22×2−1+411yescharacteristic
1623C22C2×#58511yescharacteristic
1624C22C2×#58511yescharacteristic
1625C22H(7,𝔽2)11yescharacteristic
1626C4—24no—
1627C4—22no—
1628C4—24no—
1629C4—22no—
1630C4—24no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—42no—
1635C4—42no—
1636C4—44no—
1637C4—41no—
1638C4—41no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—41no—
1645C4—44no—
1646C4—42no—
1647C4—41no—
1648C4—41no—
1649C4—42no—
1650C4—44no—
1651C4—44no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4#351114yes—
1656C4#356514yes—
1657C2—42no—
1658C2—42no—
1659C2—82no—
1660C2—82no—
1661C2C2×#356511yescharacteristic
1662C2C2×#351111yescharacteristic
1663C2#6280511yescharacteristic
1664C2#6292311yescharacteristic
1665C2#6294511yescharacteristic
1666C2#6299411yescharacteristic
1667C2#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. #59464C2semidirect
2. #59303C2semidirect
3. #59295C2semidirect
4. #59233C2semidirect
5. #59120C2semidirect
6. #51474C2semidirect
7. #50817C2semidirect
8. #46019C2semidirect
9. #45609C2semidirect
10. #45219C2semidirect
11. #45157C2semidirect
12. #44091C2semidirect
13. #42928C2semidirect
14. #42754C2semidirect
15. #41748C2semidirect
16. #40102C2semidirect
17. #39902C2semidirect
18. #39737C2semidirect
19. #39657C2semidirect
20. #39534C2semidirect
21. #38940C2semidirect
22. #37758C2semidirect
23. #36473C2semidirect
24. #36407C2semidirect
25. #36407C2semidirect
26. #36194C2semidirect
27. #36189C2semidirect
28. #36186C2semidirect
29. #35275C2semidirect
30. #35239C2semidirect
31. #35047C2semidirect
32. #34932C2semidirect
33. #34917C2semidirect
34. #34463C2semidirect
35. C4×#553C2semidirect

Maximal subgroups

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

subgroupindex
#594642
#593032
#592952
#592332
#591202
#514742
#508172
#460192
#456092
#452192
#451572
#440912
#429282
#427542
#417482
#401022
#399022
#397372
#396572
#395342
#389402
#377582
#364732
#364072
#361942
#361892
#361862
#352752
#352392
#350472
#349322
#349172
#344632
C4×#5532