Finite Group Databasebeta

← #7657321

Subgroups — #7657321

Order 512.

5794 conjugacy classes of subgroups.

The subgroup lattice has 1621 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41046C214yesmaximal, complemented
2#41035C214yesmaximal, complemented
3#40935C214yesmaximal, complemented
4#40921C214yesmaximal, complemented
5#40638C214yesmaximal, complemented
6#40542C212yesmaximal, complemented
7#40541C212yesmaximal, complemented
8#39562C212yesmaximal, complemented
9#39439C212yesmaximal, complemented
10#37970C212yesmaximal, complemented
11#37850C212yesmaximal, complemented
12#37787C212yesmaximal, complemented
13#37664C212yesmaximal, complemented
14#37516C212yesmaximal, complemented
15#37512C212yesmaximal, complemented
16#37476C211yesmaximal, characteristic, complemented
17#37451C211yesmaximal, characteristic, complemented
18#36190C212yesmaximal, complemented
19#36107C212yesmaximal, complemented
20#35705C212yesmaximal, complemented
21#35695C212yesmaximal, complemented
22#35695C214yesmaximal, complemented
23#35305C211yesmaximal, characteristic, complemented
24#35258C212yesmaximal, complemented
25#34614C212yesmaximal, complemented
26C2×#2615C211yesmaximal, characteristic
27#34246C211yesmaximal, characteristic, complemented
28#34212C211yesmaximal, characteristic, complemented
29C22⋊C4×#41C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C2×#542C2212yescomplemented
32C2×#536C2212yescomplemented
33C2×#529C2212yescomplemented
34C22×C22⋊Q8C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C22×#121C2212yes—
37C2×C4×#41C2212yescomplemented
38#2857C2212yescomplemented
39#2855C2212yescomplemented
40#2854C2212yescomplemented
41#2850C2212yescomplemented
42#2848C2212yes—
43#2848C2212yes—
44#2841C2214yescomplemented
45#2831C2214yescomplemented
46#2829C2214yescomplemented
47#2826C2214yescomplemented
48#2824C2214yescomplemented
49#2816C2212yescomplemented
50#2816C2212yescomplemented
51#2798C2214yescomplemented
52#2754C2214yescomplemented
53#2747C2214yescomplemented
54#2744C2214yescomplemented
55#2739C2214yescomplemented
56#2730C2214yescomplemented
57#2722C2214yescomplemented
58#2716C2214yescomplemented
59#2716C2214yescomplemented
60#2712C2214yescomplemented
61#2710C2214yescomplemented
62#2706C2214yescomplemented
63#2706C2214yescomplemented
64#2705C2214yescomplemented
65#2705C2214yescomplemented
66#2705C2214yescomplemented
67#2701C2214yescomplemented
68#2696C2214yescomplemented
69#2696C2214yescomplemented
70#2693C2214yescomplemented
71#2693C2214yescomplemented
72#2691C2214yescomplemented
73#2686C2214yescomplemented
74#2672C2214yescomplemented
75#2667C2212yescomplemented
76#2665C2212yescomplemented
77#2665C2214yescomplemented
78#2662C2214yescomplemented
79#2650C2214yescomplemented
80#2648C2214yescomplemented
81#2648C2214yescomplemented
82#2648C2214yescomplemented
83#2637C2214yescomplemented
84#2636C2214yescomplemented
85#2636C2214yescomplemented
86#2630C2214yescomplemented
87#2630C2214yescomplemented
88#2630C2214yescomplemented
89#2629C2212yescomplemented
90#2629C2212yescomplemented
91#2628C2212yescomplemented
92#2626C2212yes—
93#2626C2212yes—
94#2626C2214yes—
95#2625C2212yescomplemented
96#2624C2212yescomplemented
97#2620C2212yescomplemented
98#2620C2212yescomplemented
99#2620C2212yescomplemented
100#2618C2214yescomplemented
101#2616C2212yescomplemented
102#2616C2212yescomplemented
103#2615C2212yes—
104#2615C2211yescharacteristic
105#2615C2214yes—
106#2615C2211yescharacteristic
107#2615C2212yes—
108#2615C2211yescharacteristic
109#2615C2211yescharacteristic
110#2615C2212yes—
111#2615C2212yes—
112#2607C2214yescomplemented
113#2589C2214yescomplemented
114#2574C2214yescomplemented
115#2574C2214yescomplemented
116#2569C2212yes—
117#2569C2214yes—
118#2569C2214yescomplemented
119#2559C2214yescomplemented
120#2557C2214yescomplemented
121#2557C2214yescomplemented
122#2557C2214yescomplemented
123#2554C2214yescomplemented
124#2554C2214yescomplemented
125#2554C2214yescomplemented
126#2549C2212yes—
127#2522C2214yescomplemented
128#2505C2214yes—
129#2505C2214yes—
130#2502C2212yes—
131#2501C2211yescharacteristic, complemented
132#2501C2211yescharacteristic, complemented
133#2497C2212yescomplemented
134#2497C2212yescomplemented
135#2496C2212yescomplemented
136#2496C2212yescomplemented
137#2492C2214yescomplemented
138#2492C2212yescomplemented
139#2491C2212yescomplemented
140#2490C2212yescomplemented
141#2489C2212yescomplemented
142#2480C2214yes—
143#2480C2214yes—
144#2480C2214yes—
145#2480C2214yes—
146#2476C2214yescomplemented
147#2471C2214yescomplemented
148#2471C2214yescomplemented
149#2471C2214yescomplemented
150#2469C2214yescomplemented
151#2467C2214yescomplemented
152#2467C2214yescomplemented
153#2467C2214yescomplemented
154#2465C2214yescomplemented
155#2463C2214yescomplemented
156#2461C2214yescomplemented
157#2459C2214yescomplemented
158#2459C2214yescomplemented
159#2459C2214yescomplemented
160#2457C2214yescomplemented
161#2457C2214yescomplemented
162#2457C2214yescomplemented
163#2455C2214yescomplemented
164#2444C2214yescomplemented
165#2442C2212yes—
166#2441C2212yescomplemented
167#2440C2212yes—
168#2439C2212yescomplemented
169#2439C2214yescomplemented
170#2438C2214yescomplemented
171#2437C2214yes—
172#2437C2214yes—
173#2436C2211yescharacteristic, complemented
174#2436C2211yescharacteristic, complemented
175#2435C2212yes—
176#2435C2214yes—
177#2435C2212yes—
178#2434C2212yes—
179#2432C2214yescomplemented
180#2427C2212yescomplemented
181#2427C2212yescomplemented
182#2426C2212yescomplemented
183#2426C2212yescomplemented
184#2425C2214yescomplemented
185#2423C2212yescomplemented
186#2422C2212yescomplemented
187#2421C2212yescomplemented
188#2420C2212yescomplemented
189#2406C2212yescomplemented
190#2406C2212yescomplemented
191#2405C2214yes—
192#2405C2214yes—
193#2405C2214yes—
194#2405C2214yes—
195#2396C2214yescomplemented
196#2392C2214yescomplemented
197#2392C2214yescomplemented
198#2392C2214yescomplemented
199C2×#393C2212yes—
200C2×#392C2212yes—
201C2×#392C2214yes—
202#2368C2212yes—
203#2368C2214yes—
204#2368C2212yes—
205#2364C2214yescomplemented
206#2363C2212yescomplemented
207#2363C2212yescomplemented
208#2360C2212yes—
209#2360C2212yes—
210#2345C2211yescharacteristic
211#2345C2211yescharacteristic
212#2345C2212yescomplemented
213#2345C2214yescomplemented
214#2342C2214yes—
215#2342C2214yes—
216#2341C2212yescomplemented
217Q8×C22⋊C4C2211yescharacteristic
218Q8×C22⋊C4C2211yescharacteristic
219Q8×C22⋊C4C2212yescomplemented
220#2339C2212yescomplemented
221#2339C2212yescomplemented
222#2339C2212yescomplemented
223D4×C22⋊C4C2211yescharacteristic
224D4×C22⋊C4C2214yes—
225D4×C22⋊C4C2211yescharacteristic
226D4×C22⋊C4C2211yescharacteristic
227D4×C22⋊C4C2211yescharacteristic
228D4×C22⋊C4C2212yes—
229D4×C22⋊C4C2212yes—
230D4×C22⋊C4C2212yes—
231D4×C22⋊C4C2212yes—
232#2333C2214yescomplemented
233#2329C2214yescomplemented
234#2324C2212yescomplemented
235#2323C2212yescomplemented
236#2315C2212yes—
237#2314C2212yescomplemented
238#2312C2212yes—
239#2311C2212yescomplemented
240C4×C22⋊Q8C2212yescomplemented
241C4×C22⋊Q8C2212yescomplemented
242C4×C22⋊Q8C2212yescomplemented
243C4×#121C2212yescomplemented
244C4×#121C2212yescomplemented
245C4×#121C2212yescomplemented
246#2297C2212yescomplemented
247#2297C2212yescomplemented
248#2297C2212yescomplemented
249#2285C2212yescomplemented
250#2280C2212yes—
251#2280C2211yescharacteristic
252#2280C2211yescharacteristic
253C2×#380C2212yes—
254C2×#380C2211yescharacteristic
255#2273C2212yes—
256#2273C2212yes—
257C2×C4×C22⋊C4C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41—28no—
260C22×#41—48no—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2312yes—
265C22×#41C2311yescharacteristic
266C22×#41C2311yescharacteristic
267C23×Q8C2311yescharacteristic
268C23×Q8C2311yescharacteristic
269C23×D4C2312yes—
270C23×D4C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2312yes—
273C23×D4C2314yes—
274C24×C4C2312yes—
275C24×C4C2311yescharacteristic
276#542—48no—
277#536—48no—
278C2×C4⋊Q8C2312yes—
279C2×C4⋊Q8C2314yes—
280#529—48no—
281C2×#126C2314yes—
282C2×#126C2314yes—
283C2×#126C2314yes—
284C2×#126C2314yes—
285C2×#125C2312yes—
286C2×#124C2312yes—
287C2×#124C2312yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×C22⋊Q8—28no—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×#121—28no—
312C2×#121—48no—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C4×#41—48no—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2314yes—
342C2×#117C2312yes—
343C2×#117C2312yes—
344C2×#117C2312yes—
345C2×#117C2314yes—
346C2×#117C2312yes—
347C2×#117C2314yes—
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2312yes—
352C22×C22⋊C4C2312yes—
353C22×C22⋊C4C2312yes—
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2312yes—
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2312yes—
359C22×C22⋊C4C2312yes—
360C22×C22⋊C4C2312yes—
361C22×C22⋊C4C2314yes—
362C22×C22⋊C4C2314yes—
363C22×C42C2312yes—
364C22×C42C2312yes—
365C22×C42C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#399C2312yes—
377#399C2312yes—
378#399C2312yes—
379#399C2312yes—
380#399C2314yes—
381#399C2314yes—
382#399C2314yes—
383#399C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#395C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#393C2312yes—
451#393C2312yes—
452#393C2312yes—
453#393C2312yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2312yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2312yes—
462#393C2312yes—
463#393C2312yes—
464#392C2314yes—
465#392C2312yes—
466#392C2312yes—
467#392C2314yes—
468#392C2314yes—
469#392C2312yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2312yes—
478#391C2314yes—
479#391C2312yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2312yes—
493#391C2314yes—
494#390C2314yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2312yes—
510#390C2314yes—
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2312yes—
573#386C2314yes—
574#386C2312yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2312yes—
582#386C2312yes—
583#386C2312yes—
584#386C2312yes—
585#386C2312yes—
586#386C2312yes—
587#386C2312yes—
588#386C2312yes—
589#386C2312yes—
590#386C2312yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#384C2312yes—
619#384C2312yes—
620#384C2312yes—
621#382C2312yes—
622#382C2314yes—
623#382C2314yes—
624#381C2311yescharacteristic
625#381C2311yescharacteristic
626#381C2312yes—
627#381C2312yes—
628#381C2312yes—
629#381C2314yes—
630#381C2314yes—
631#380C2312yes—
632#380C2312yes—
633#380C2312yes—
634#380C2312yes—
635#380C2312yes—
636#380C2312yes—
637#380C2311yescharacteristic
638#380C2312yes—
639#380C2314yes—
640#380C2314yes—
641#380C2314yes—
642#380C2314yes—
643#380C2312yes—
644#380C2314yes—
645#380C2314yes—
646#380C2314yes—
647#380C2314yes—
648#380C2312yes—
649#380C2312yes—
650#380C2312yes—
651#380C2311yescharacteristic
652#380C2311yescharacteristic
653#380C2311yescharacteristic
654#380C2312yes—
655#380C2312yes—
656#380C2312yes—
657#380C2312yes—
658#380C2314yes—
659#380C2312yes—
660#380C2311yescharacteristic
661#380C2311yescharacteristic
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#379C2312yes—
666#379C2312yes—
667#379C2314yes—
668#379C2314yes—
669#379C2312yes—
670#379C2312yes—
671#379C2312yes—
672#379C2312yes—
673#379C2314yes—
674#379C2314yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2314yes—
683C4×C22⋊C4C2311yescharacteristic
684C4×C22⋊C4C2312yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2312yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2311yescharacteristic
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2311yescharacteristic
700C4×C22⋊C4C2311yescharacteristic
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2311yescharacteristic
715C4×C22⋊C4C2311yescharacteristic
716C2×#95C2312yes—
717C2×#95C2314yes—
718C2×#95C2312yes—
719C2×#95C2312yes—
720C2×#95C2312yes—
721C25C2412yes—
722C25C2412yes—
723C25C2411yescharacteristic
724C2×#41—24no—
725C2×#41—28no—
726C2×#41—24no—
727C2×#41—24no—
728C2×#41—24no—
729C2×#41—28no—
730C2×#41—28no—
731C2×#41—28no—
732C2×#41—44no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—464no—
739C22×Q8—24no—
740C22×Q8—24no—
741C22×Q8—44no—
742C22×Q8—44no—
743C22×Q8C2411yescharacteristic
744C22×Q8C2412yes—
745C22×Q8C2412yes—
746C22×Q8C2412yes—
747C22×Q8C2411yescharacteristic
748C22×Q8C2414yes—
749C22×D4—28no—
750C22×D4—28no—
751C22×D4—24no—
752C22×D4—24no—
753C22×D4—44no—
754C22×D4—44no—
755C22×D4—48no—
756C22×D4—44no—
757C22×D4—44no—
758C22×D4—48no—
759C22×D4—84no—
760C22×D4—84no—
761C22×D4C2411yescharacteristic
762C22×D4C2412yes—
763C22×D4C2411yescharacteristic
764C22×D4C2411yescharacteristic
765C22×D4C2412yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2411yescharacteristic
777C22×D4C2414yes—
778C22×D4C2414yes—
779C23×C4—28no—
780C23×C4—28no—
781C23×C4—44no—
782C23×C4—44no—
783C23×C4#4118yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2411yescharacteristic
790C23×C4C2411yescharacteristic
791C23×C4C2411yescharacteristic
792C23×C4C2412yes—
793C23×C4C2414yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2414yes—
798C23×C4C2412yes—
799C23×C4C2412yes—
800C23×C4C2412yes—
801C23×C4C2412yes—
802C23×C4C2412yes—
803C23×C4C2414yes—
804C23×C4C2411yescharacteristic
805C23×C4C2411yescharacteristic
806C23×C4C2411yescharacteristic
807C4⋊Q8—44no—
808C4⋊Q8—48no—
809#126—48no—
810#126—48no—
811#126—84no—
812#126—84no—
813#125—44no—
814#124—44no—
815#124—44no—
816#124—48no—
817#124—48no—
818#124—84no—
819#123—48no—
820#123—48no—
821#123—48no—
822#123—48no—
823#123—84no—
824#123—84no—
825#123—84no—
826#123—84no—
827C22⋊Q8—28no—
828C22⋊Q8—28no—
829C22⋊Q8—28no—
830C22⋊Q8—28no—
831C22⋊Q8—28no—
832C22⋊Q8—28no—
833C22⋊Q8—48no—
834C22⋊Q8—48no—
835C22⋊Q8—44no—
836C22⋊Q8—44no—
837C22⋊Q8—84no—
838#121—24no—
839#121—24no—
840#121—24no—
841#121—24no—
842#121—28no—
843#121—28no—
844#121—28no—
845#121—28no—
846#121—48no—
847#121—44no—
848#121—44no—
849#121—48no—
850C4×Q8—44no—
851C4×Q8—44no—
852C4×Q8—44no—
853C4×Q8—44no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—44no—
857C4×D4—44no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—44no—
862C4×D4—48no—
863C4×D4—84no—
864C4×D4—84no—
865C4×D4—84no—
866#117—28no—
867#117—44no—
868#117—44no—
869#117—48no—
870#117—44no—
871#117—84no—
872C2×C4⋊C4—24no—
873C2×C4⋊C4—24no—
874C2×C4⋊C4—28no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C22⋊C4—28no—
918C2×C22⋊C4—28no—
919C2×C22⋊C4—28no—
920C2×C22⋊C4—24no—
921C2×C22⋊C4—28no—
922C2×C22⋊C4—48no—
923C2×C22⋊C4—42no—
924C2×C22⋊C4—44no—
925C2×C22⋊C4—44no—
926C2×C22⋊C4—44no—
927C2×C22⋊C4—84no—
928C2×C22⋊C4C2411yescharacteristic
929C2×C22⋊C4C2411yescharacteristic
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2411yescharacteristic
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C42—28no—
996C2×C42—44no—
997C2×C42—44no—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
1006C2×C42C2414yes—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2411yescharacteristic
1044#95C2411yescharacteristic
1045#95C2412yes—
1046#95C2412yes—
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069C24—22no—
1070C24—22no—
1071C24—24no—
1072C24—24no—
1073C24—24no—
1074C24—24no—
1075C24—24no—
1076C24—24no—
1077C24—24no—
1078C24—42no—
1079C24—42no—
1080C24—42no—
1081C24—42no—
1082C24—42no—
1083C24—44no—
1084C24—44no—
1085C24C2×#4114yes—
1086C24C2512yes—
1087C24C2512yes—
1088C24C2512yes—
1089C24C2511yescharacteristic
1090C24C2511yescharacteristic
1091C24C2512yes—
1092C24C2511yescharacteristic
1093#41—232no—
1094#41—432no—
1095#41—416no—
1096#41—432no—
1097#41—416no—
1098#41—416no—
1099C2×Q8—22no—
1100C2×Q8—24no—
1101C2×Q8—24no—
1102C2×Q8—22no—
1103C2×Q8—24no—
1104C2×Q8—24no—
1105C2×Q8—24no—
1106C2×Q8—24no—
1107C2×Q8—24no—
1108C2×Q8—42no—
1109C2×Q8—42no—
1110C2×Q8—44no—
1111C2×Q8—44no—
1112C2×Q8—44no—
1113C2×Q8—44no—
1114C2×Q8—416no—
1115C2×Q8—88no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—28no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—28no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—416no—
1162C2×D4—432no—
1163C2×D4—88no—
1164C2×D4—816no—
1165C2×D4—832no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—28no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—28no—
1190C22×C4—416no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—432no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—44no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—42no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4C2×#4114yes—
1222C22×C4C2×#4114yes—
1223C22×C4C2×#4114yes—
1224C22×C4C2×#4114yes—
1225C22×C4C2×#4114yes—
1226C22×C4C2×#4114yes—
1227C22×C4H(5,𝔽2)18yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2514yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2514yes—
1240C22×C4C2514yes—
1241C22×C4C2514yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—22no—
1298C22⋊C4—24no—
1299C22⋊C4—24no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—28no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C42−1+414yes—
1358C42—24no—
1359C42—24no—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—42no—
1365C42—42no—
1366C42—42no—
1367C42—42no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42—44no—
1372C42—44no—
1373C42—44no—
1374C42—44no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—21no—
1382C23—21no—
1383C23—22no—
1384C23—21no—
1385C23—21no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—28no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—24no—
1396C23—24no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—24no—
1408C23—24no—
1409C23—44no—
1410C23—44no—
1411C23—48no—
1412C23—48no—
1413C23—48no—
1414C23—48no—
1415C23—48no—
1416C23—84no—
1417C23—84no—
1418C23—84no—
1419C23—84no—
1420C23—84no—
1421C23—84no—
1422C23—84no—
1423C23—88no—
1424C23—88no—
1425C23C22×#4112yes—
1426C23C22×#4112yes—
1427C23C22×#4112yes—
1428C23C2×H(5,𝔽2)14yes—
1429C23C2×2−1+412yes—
1430C23#58512yes—
1431C23C2611yescharacteristic
1432Q8—28no—
1433Q8—48no—
1434Q8—44no—
1435Q8—48no—
1436Q8—84no—
1437Q8—164no—
1438D4—28no—
1439D4—216no—
1440D4—48no—
1441D4—48no—
1442D4—44no—
1443D4—48no—
1444D4—48no—
1445D4—48no—
1446D4—48no—
1447D4—416no—
1448D4—44no—
1449D4—44no—
1450D4—84no—
1451D4—84no—
1452D4—84no—
1453D4—88no—
1454D4—88no—
1455D4—88no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—28no—
1464C2×C4—28no—
1465C2×C4—28no—
1466C2×C4—216no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—48no—
1517C2×C4—48no—
1518C2×C4—48no—
1519C2×C4—48no—
1520C2×C4—48no—
1521C2×C4—84no—
1522C2×C4—84no—
1523C2×C4—88no—
1524C2×C4—84no—
1525C2×C4—84no—
1526C2×C4—84no—
1527C2×C4—88no—
1528C2×C4—84no—
1529C2×C4—84no—
1530C2×C4—84no—
1531C2×C4—164no—
1532C2×C4C22×#4112yes—
1533C2×C4C22×#4112yes—
1534C2×C4C22×#4112yes—
1535C2×C4C22×#4112yes—
1536C2×C4C2×H(5,𝔽2)14yes—
1537C2×C4C2×H(5,𝔽2)14yes—
1538C2×C4C2×2−1+414yes—
1539C22—22no—
1540C22—22no—
1541C22—24no—
1542C22—24no—
1543C22—22no—
1544C22—22no—
1545C22—24no—
1546C22—22no—
1547C22—22no—
1548C22—24no—
1549C22—22no—
1550C22—22no—
1551C22—24no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—44no—
1567C22—44no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—44no—
1574C22—42no—
1575C22—42no—
1576C22—44no—
1577C22—88no—
1578C22—816no—
1579C22—168no—
1580C22#346114yes—
1581C22C23×#4111yescharacteristic
1582C22C22×H(5,𝔽2)12yes—
1583C22C22×2−1+411yescharacteristic
1584C22C2×#58511yescharacteristic
1585C22H(7,𝔽2)12yes—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—24no—
1590C4—24no—
1591C4—42no—
1592C4—44no—
1593C4—44no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—44no—
1600C4—44no—
1601C4—42no—
1602C4—44no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—44no—
1607C4#349014yes—
1608C2—24no—
1609C2—42no—
1610C2—42no—
1611C2—44no—
1612C2—82no—
1613C2—82no—
1614C2—82no—
1615C2C2×#346111yescharacteristic
1616C2C2×#349011yescharacteristic
1617C2#6285511yescharacteristic
1618C2#6292412yes—
1619C2#6294412yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#2615C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #41046C2semidirect
2. #41035C2semidirect
3. #40935C2semidirect
4. #40921C2semidirect
5. #40638C2semidirect
6. #40542C2semidirect
7. #40541C2semidirect
8. #39562C2semidirect
9. #39439C2semidirect
10. #37970C2semidirect
11. #37850C2semidirect
12. #37787C2semidirect
13. #37664C2semidirect
14. #37516C2semidirect
15. #37512C2semidirect
16. #37476C2semidirect
17. #37451C2semidirect
18. #36190C2semidirect
19. #36107C2semidirect
20. #35705C2semidirect
21. #35695C2semidirect
22. #35695C2semidirect
23. #35305C2semidirect
24. #35258C2semidirect
25. #34614C2semidirect
27. #34246C2semidirect
28. #34212C2semidirect
29. C22⋊C4×#41C2semidirect
31. C2×#542C22semidirect
32. C2×#536C22semidirect
33. C2×#529C22semidirect
37. C2×C4×#41C22semidirect
38. #2857C22semidirect
39. #2855C22semidirect
40. #2854C22semidirect
41. #2850C22semidirect
44. #2841C22semidirect
45. #2831C22semidirect
46. #2829C22semidirect
47. #2826C22semidirect
48. #2824C22semidirect
49. #2816C22semidirect
50. #2816C22semidirect
51. #2798C22semidirect
52. #2754C22semidirect
53. #2747C22semidirect
54. #2744C22semidirect
55. #2739C22semidirect
56. #2730C22semidirect
57. #2722C22semidirect
58. #2716C22semidirect
59. #2716C22semidirect
60. #2712C22semidirect
61. #2710C22semidirect
62. #2706C22semidirect
63. #2706C22semidirect
64. #2705C22semidirect
65. #2705C22semidirect
66. #2705C22semidirect
67. #2701C22semidirect
68. #2696C22semidirect
69. #2696C22semidirect
70. #2693C22semidirect
71. #2693C22semidirect
72. #2691C22semidirect
73. #2686C22semidirect
74. #2672C22semidirect
75. #2667C22semidirect
76. #2665C22semidirect
77. #2665C22semidirect
78. #2662C22semidirect
79. #2650C22semidirect
80. #2648C22semidirect
81. #2648C22semidirect
82. #2648C22semidirect
83. #2637C22semidirect
84. #2636C22semidirect
85. #2636C22semidirect
86. #2630C22semidirect
87. #2630C22semidirect
88. #2630C22semidirect
89. #2629C22semidirect
90. #2629C22semidirect
91. #2628C22semidirect
95. #2625C22semidirect
96. #2624C22semidirect
97. #2620C22semidirect
98. #2620C22semidirect
99. #2620C22semidirect
100. #2618C22semidirect
101. #2616C22semidirect
102. #2616C22semidirect
112. #2607C22semidirect
113. #2589C22semidirect
114. #2574C22semidirect
115. #2574C22semidirect
118. #2569C22semidirect
119. #2559C22semidirect
120. #2557C22semidirect
121. #2557C22semidirect
122. #2557C22semidirect
123. #2554C22semidirect
124. #2554C22semidirect
125. #2554C22semidirect
127. #2522C22semidirect
131. #2501C22semidirect
132. #2501C22semidirect
133. #2497C22semidirect
134. #2497C22semidirect
135. #2496C22semidirect
136. #2496C22semidirect
137. #2492C22semidirect
138. #2492C22semidirect
139. #2491C22semidirect
140. #2490C22semidirect
141. #2489C22semidirect
146. #2476C22semidirect
147. #2471C22semidirect
148. #2471C22semidirect
149. #2471C22semidirect
150. #2469C22semidirect
151. #2467C22semidirect
152. #2467C22semidirect
153. #2467C22semidirect
154. #2465C22semidirect
155. #2463C22semidirect
156. #2461C22semidirect
157. #2459C22semidirect
158. #2459C22semidirect
159. #2459C22semidirect
160. #2457C22semidirect
161. #2457C22semidirect
162. #2457C22semidirect
163. #2455C22semidirect
164. #2444C22semidirect
166. #2441C22semidirect
168. #2439C22semidirect
169. #2439C22semidirect
170. #2438C22semidirect
173. #2436C22semidirect
174. #2436C22semidirect
179. #2432C22semidirect
180. #2427C22semidirect
181. #2427C22semidirect
182. #2426C22semidirect
183. #2426C22semidirect
184. #2425C22semidirect
185. #2423C22semidirect
186. #2422C22semidirect
187. #2421C22semidirect
188. #2420C22semidirect
189. #2406C22semidirect
190. #2406C22semidirect
195. #2396C22semidirect
196. #2392C22semidirect
197. #2392C22semidirect
198. #2392C22semidirect
205. #2364C22semidirect
206. #2363C22semidirect
207. #2363C22semidirect
212. #2345C22semidirect
213. #2345C22semidirect
216. #2341C22semidirect
219. Q8×C22⋊C4C22semidirect
220. #2339C22semidirect
221. #2339C22semidirect
222. #2339C22semidirect
232. #2333C22semidirect
233. #2329C22semidirect
234. #2324C22semidirect
235. #2323C22semidirect
237. #2314C22semidirect
239. #2311C22semidirect
240. C4×C22⋊Q8C22semidirect
241. C4×C22⋊Q8C22semidirect
242. C4×C22⋊Q8C22semidirect
243. C4×#121C22semidirect
244. C4×#121C22semidirect
245. C4×#121C22semidirect
246. #2297C22semidirect
247. #2297C22semidirect
248. #2297C22semidirect
249. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#410462
#410352
#409352
#409212
#406382
#405422
#405412
#395622
#394392
#379702
#378502
#377872
#376642
#375162
#375122
#374762
#374512
#361902
#361072
#357052
#356952
#353052
#352582
#346142
C2×#26152
#342462
#342122
C22⋊C4×#412