Finite Group Databasebeta

← #8650359

Subgroups — #8650359

Order 512.

5825 conjugacy classes of subgroups.

The subgroup lattice has 1703 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59548C212yesmaximal, complemented
2#53544C214yesmaximal, complemented
3#53528C212yesmaximal, complemented
4#53450C214yesmaximal, complemented
5#52966C211yesmaximal, characteristic, complemented
6#50762C214yesmaximal, complemented
7#50674C214yesmaximal, complemented
8#50652C214yesmaximal, complemented
9#47678C212yesmaximal, complemented
10#46504C214yesmaximal, complemented
11#46328C211yesmaximal, characteristic, complemented
12#45608C212yesmaximal, complemented
13#45437C212yesmaximal, complemented
14#44886C212yesmaximal, complemented
15#44870C211yesmaximal, characteristic, complemented
16#42989C212yesmaximal, complemented
17#42987C211yesmaximal, characteristic, complemented
18#42341C212yesmaximal, complemented
19#40150C212yesmaximal, complemented
20#39747C211yesmaximal, characteristic, complemented
21#39342C212yesmaximal, complemented
22#39334C212yesmaximal, complemented
23#38949C212yesmaximal, complemented
24#37272C212yesmaximal, complemented
25#36402C212yesmaximal, complemented
26#36089C211yesmaximal, characteristic, complemented
27#35533C212yesmaximal, complemented
28#35007C212yesmaximal, complemented
29#34925C211yesmaximal, characteristic, complemented
30C2×#560C2212yescomplemented
31C2×#556C2211yescharacteristic, complemented
32C2×#550C2211yescharacteristic, complemented
33C2×#546C2212yescomplemented
34C2×D42C2212yes—
35C2×#538C2214yescomplemented
36C2×#537C2212yescomplemented
37C2×#535C2212yes—
38C2×#535C2211yescharacteristic
39C2×#535C2212yescomplemented
40C2×#532C2212yescomplemented
41C2×#532C2212yescomplemented
42C2×#520C2211yescharacteristic, complemented
43#2860C2212yescomplemented
44#2858C2211yescharacteristic, complemented
45#2856C2212yes—
46#2855C2212yescomplemented
47#2854C2212yescomplemented
48#2850C2212yes—
49#2830C2212yescomplemented
50#2829C2214yescomplemented
51#2829C2214yescomplemented
52#2825C2214yescomplemented
53#2823C2212yescomplemented
54#2818C2212yescomplemented
55#2815C2212yescomplemented
56#2780C2214yescomplemented
57#2778C2214yescomplemented
58#2760C2212yescomplemented
59#2753C2214yescomplemented
60#2753C2214yescomplemented
61#2753C2214yescomplemented
62#2749C2214yescomplemented
63#2730C2214yescomplemented
64#2730C2214yescomplemented
65#2729C2214yescomplemented
66#2714C2214yescomplemented
67#2714C2214yescomplemented
68#2714C2214yescomplemented
69#2706C2214yescomplemented
70#2701C2214yescomplemented
71#2699C2212yescomplemented
72#2699C2214yescomplemented
73#2699C2214yescomplemented
74#2699C2212yescomplemented
75#2699C2214yescomplemented
76#2699C2214yescomplemented
77#2697C2214yescomplemented
78#2697C2214yescomplemented
79#2697C2212yescomplemented
80#2691C2214yescomplemented
81#2688C2214yescomplemented
82#2688C2214yescomplemented
83#2688C2214yescomplemented
84#2686C2214yescomplemented
85#2685C2214yescomplemented
86#2682C2214yescomplemented
87#2679C2212yes—
88#2678C2214yescomplemented
89#2676C2214yescomplemented
90#2676C2214yescomplemented
91#2675C2214yescomplemented
92#2674C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2673C2214yescomplemented
96#2673C2214yescomplemented
97#2673C2214yescomplemented
98#2671C2214yescomplemented
99#2670C2212yes—
100#2670C2214yescomplemented
101#2670C2214yescomplemented
102#2670C2214yescomplemented
103#2669C2214yes—
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2669C2214yescomplemented
108#2669C2214yescomplemented
109#2668C2214yescomplemented
110#2665C2214yescomplemented
111#2662C2212yescomplemented
112#2662C2214yescomplemented
113#2661C2214yescomplemented
114#2657C2212yescomplemented
115#2653C2214yescomplemented
116#2637C2212yescomplemented
117#2635C2214yescomplemented
118#2632C2212yescomplemented
119#2617C2214yescomplemented
120#2616C2211yescharacteristic, complemented
121#2616C2211yescharacteristic, complemented
122#2615C2212yes—
123#2615C2212yescomplemented
124#2603C2212yes—
125#2603C2214yescomplemented
126#2600C2214yescomplemented
127#2597C2214yescomplemented
128#2595C2214yescomplemented
129#2595C2214yescomplemented
130#2594C2214yescomplemented
131#2576C2214yescomplemented
132#2555C2212yes—
133#2555C2211yescharacteristic, complemented
134#2555C2214yescomplemented
135#2555C2211yescharacteristic, complemented
136#2555C2212yescomplemented
137#2555C2214yescomplemented
138#2555C2214yescomplemented
139#2554C2214yescomplemented
140#2554C2214yescomplemented
141#2551C2211yescharacteristic, complemented
142#2548C2212yescomplemented
143#2548C2214yescomplemented
144#2548C2212yescomplemented
145#2547C2211yescharacteristic, complemented
146#2545C2214yescomplemented
147#2544C2212yescomplemented
148#2544C2214yescomplemented
149#2541C2211yescharacteristic
150#2541C2212yes—
151#2541C2214yescomplemented
152#2541C2212yescomplemented
153#2541C2214yescomplemented
154#2541C2214yescomplemented
155#2540C2212yescomplemented
156#2537C2212yescomplemented
157#2537C2211yescharacteristic, complemented
158#2536C2212yescomplemented
159#2535C2212yescomplemented
160#2526C2214yescomplemented
161#2525C2214yescomplemented
162#2512C2212yescomplemented
163#2508C2212yescomplemented
164#2502C2211yescharacteristic, complemented
165#2497C2212yescomplemented
166#2494C2212yescomplemented
167#2491C2212yescomplemented
168#2491C2212yescomplemented
169#2491C2214yescomplemented
170#2491C2212yescomplemented
171#2487C2212yescomplemented
172#2486C2212yescomplemented
173#2486C2211yescharacteristic, complemented
174#2472C2214yescomplemented
175#2472C2214yescomplemented
176#2468C2214yescomplemented
177#2468C2214yescomplemented
178#2464C2214yescomplemented
179#2461C2214yescomplemented
180#2461C2214yescomplemented
181#2456C2214yescomplemented
182#2447C2212yescomplemented
183#2445C2212yes—
184#2440C2212yescomplemented
185#2435C2211yescharacteristic
186#2433C2212yes—
187#2433C2214yes—
188#2433C2214yescomplemented
189#2431C2212yes—
190#2428C2212yes—
191#2428C2212yes—
192#2428C2214yescomplemented
193#2428C2212yescomplemented
194#2428C2212yescomplemented
195#2426C2212yescomplemented
196#2424C2214yescomplemented
197#2424C2214yescomplemented
198#2424C2214yescomplemented
199#2424C2214yescomplemented
200#2424C2214yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2424C2214yescomplemented
204#2420C2212yescomplemented
205#2420C2212yescomplemented
206#2417C2212yescomplemented
207#2416C2212yes—
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2416C2212yescomplemented
211#2416C2212yescomplemented
212#2416C2212yescomplemented
213#2415C2212yescomplemented
214#2414C2212yes—
215#2414C2212yes—
216#2414C2212yescomplemented
217#2414C2212yescomplemented
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2412C2214yescomplemented
221#2410C2214yescomplemented
222#2408C2212yes—
223#2408C2211yescharacteristic
224#2408C2212yescomplemented
225#2408C2214yescomplemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2403C2212yes—
230#2399C2212yescomplemented
231#2388C2211yescharacteristic
232#2388C2212yescomplemented
233#2388C2211yescharacteristic, complemented
234#2377C2214yescomplemented
235#2373C2214yescomplemented
236#2363C2212yes—
237#2362C2212yescomplemented
238#2361C2212yescomplemented
239#2357C2214yescomplemented
240#2357C2214yescomplemented
241#2354C2212yescomplemented
242#2352C2212yescomplemented
243#2347C2211yescharacteristic, complemented
244#2346C2211yescharacteristic, complemented
245#2328C2214yescomplemented
246#2326C2212yescomplemented
247#2321C2214yescomplemented
248#2311C2212yescomplemented
249#2308C2214yescomplemented
250C4×#127C2211yescharacteristic, complemented
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#121C2212yescomplemented
254C4×#121C2212yescomplemented
255#2296C2212yescomplemented
256#2295C2211yescharacteristic, complemented
257C2×#390C2212yescomplemented
258C42×D4C2212yescomplemented
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C23×D4C2312yes—
264C23×D4C2311yescharacteristic
265C23×D4C2314yes—
266#560—48no—
267#556—44no—
268#550—44no—
269#546—48no—
270D42—48no—
271#538—416no—
272#537—48no—
273#535—44no—
274#535—48no—
275#535—48no—
276#532—48no—
277#532—48no—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2312yes—
281C2×#127C2311yescharacteristic
282C2×#127C2312yes—
283C2×#127C2314yes—
284C2×#127C2312yes—
285C2×#127C2311yescharacteristic
286C2×#127C2312yes—
287C2×#127C2314yes—
288C2×#127C2312yes—
289C2×#127C2314yes—
290C2×#127C2312yes—
291C2×#127C2312yes—
292C2×#126C2314yes—
293C2×#126C2312yes—
294C2×#126C2312yes—
295C2×#126C2314yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2314yes—
301C2×#124C2312yes—
302C2×#124C2312yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2312yes—
306C2×#124C2312yes—
307C2×#124C2312yes—
308C2×#124C2312yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2312yes—
313C2×#123C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2312yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372#520—44no—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C22⋊C4C2314yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C42C2312yes—
406C22×C42C2312yes—
407#401C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#399C2314yes—
412#399C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#395C2311yescharacteristic
442#395C2312yes—
443#395C2312yes—
444#395C2311yescharacteristic
445#395C2312yes—
446#395C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2312yes—
450#394C2312yes—
451#394C2312yes—
452#394C2314yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2311yescharacteristic
478#394C2312yes—
479#394C2312yes—
480#394C2311yescharacteristic
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2311yescharacteristic
493#393C2312yes—
494#393C2311yescharacteristic
495#392C2311yescharacteristic
496#392C2314yes—
497#392C2312yes—
498#392C2314yes—
499#392C2312yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2311yescharacteristic
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2312yes—
514#392C2312yes—
515#392C2312yes—
516#392C2312yes—
517#392C2312yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2312yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#391C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2314yes—
568#390C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#386C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#384C2311yescharacteristic
668#384C2312yes—
669#383C2312yes—
670#382C2314yes—
671#382C2312yes—
672#382C2312yes—
673#381C2314yes—
674#381C2314yes—
675#381C2314yes—
676#381C2314yes—
677#381C2314yes—
678#381C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2311yescharacteristic
684#380C2311yescharacteristic
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2314yes—
690#380C2314yes—
691#380C2312yes—
692#380C2312yes—
693#379C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2311yescharacteristic
715C4×C22⋊C4C2311yescharacteristic
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722#376C2312yes—
723#376C2312yes—
724C43C2311yescharacteristic
725C25C2414yes—
726C25C2412yes—
727C2×#41—28no—
728C2×#41—28no—
729C2×#41—42no—
730C2×#41—44no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—42no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—44no—
737C22×Q8C2411yescharacteristic
738C22×Q8C2411yescharacteristic
739C22×Q8C2412yes—
740C22×Q8C2412yes—
741C22×Q8C2411yescharacteristic
742C22×D4—28no—
743C22×D4—44no—
744C22×D4—44no—
745C22×D4—42no—
746C22×D4—44no—
747C22×D4—48no—
748C22×D4—48no—
749C22×D4—84no—
750C22×D4C2412yes—
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2411yescharacteristic
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2411yescharacteristic
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2412yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2412yes—
789C23×C4C2411yescharacteristic
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2414yes—
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2412yes—
798C23×C4C2414yes—
799C23×C4C2414yes—
800C23×C4C2412yes—
801C23×C4C2414yes—
802C4⋊Q8—42no—
803C4⋊Q8—44no—
804C4⋊Q8—44no—
805#127—24no—
806#127—48no—
807#127—48no—
808#127—44no—
809#127—44no—
810#127—42no—
811#127—44no—
812#127—44no—
813#127—44no—
814#127—48no—
815#127—82no—
816#126—216no—
817#126—44no—
818#126—44no—
819#126—48no—
820#124—28no—
821#124—48no—
822#124—44no—
823#124—44no—
824#124—44no—
825#124—44no—
826#124—44no—
827#124—44no—
828#124—44no—
829#124—48no—
830#124—48no—
831#124—82no—
832#124—82no—
833#123—48no—
834#123—48no—
835#123—48no—
836#123—48no—
837#123—44no—
838C22⋊Q8—28no—
839C22⋊Q8—48no—
840C22⋊Q8—48no—
841C22⋊Q8—44no—
842C22⋊Q8—42no—
843C22⋊Q8—42no—
844#121—28no—
845#121—28no—
846#121—28no—
847#121—28no—
848#121—48no—
849#121—48no—
850#121—44no—
851#121—44no—
852#121—44no—
853#121—44no—
854#121—44no—
855#121—44no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—48no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—44no—
869#121—48no—
870#121—48no—
871#121—44no—
872#121—44no—
873#121—44no—
874#121—44no—
875#121—44no—
876#121—44no—
877#121—44no—
878#121—44no—
879#121—84no—
880#121—84no—
881#121—84no—
882#121—84no—
883#120—48no—
884#120—48no—
885#120—48no—
886#120—48no—
887#120—48no—
888#120—48no—
889#120—48no—
890#120—48no—
891#120—48no—
892#120—44no—
893#120—48no—
894#120—48no—
895#120—48no—
896C4×Q8—24no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—48no—
904C4×D4—44no—
905C4×D4—48no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—48no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—42no—
916C4×D4—44no—
917C4×D4—48no—
918#117—28no—
919#117—24no—
920#117—24no—
921#117—44no—
922C2×C4⋊C4—42no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C22⋊C4—48no—
963C2×C22⋊C4—48no—
964C2×C22⋊C4—84no—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C42—44no—
1041C2×C42—44no—
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2414yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2411yescharacteristic
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100C24—28no—
1101C24—44no—
1102C24—44no—
1103C24—44no—
1104C24—42no—
1105C24—44no—
1106C24—44no—
1107C24—44no—
1108C24—42no—
1109C24—44no—
1110C24—44no—
1111C24—42no—
1112C24C2514yes—
1113C24C2511yescharacteristic
1114C24C2514yes—
1115C24C2511yescharacteristic
1116C24C2512yes—
1117C24C2512yes—
1118C24C2512yes—
1119#41—416no—
1120#41—816no—
1121#41—88no—
1122#41—816no—
1123C2×Q8—22no—
1124C2×Q8—24no—
1125C2×Q8—24no—
1126C2×Q8—24no—
1127C2×Q8—24no—
1128C2×Q8—41no—
1129C2×Q8—42no—
1130C2×Q8—42no—
1131C2×Q8—41no—
1132C2×Q8—42no—
1133C2×Q8—42no—
1134C2×Q8—42no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—28no—
1141C2×D4—28no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—28no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—22no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—28no—
1163C2×D4—24no—
1164C2×D4—42no—
1165C2×D4—41no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—44no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—41no—
1174C2×D4—42no—
1175C2×D4—41no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—41no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—41no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—41no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—816no—
1243C2×D4—88no—
1244C2×D4—832no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—28no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4H(5,𝔽2)18yes—
1288C22×C4C2514yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
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⋊C4H(5,𝔽2)14yes—
1347C22⋊C4—24no—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—28no—
1427C42—24no—
1428C42—22no—
1429C42—24no—
1430C42—28no—
1431C42—42no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—44no—
1436C42—42no—
1437C42—44no—
1438C42—41no—
1439C42—42no—
1440C42H(5,𝔽2)14yes—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—24no—
1448C23—21no—
1449C23—21no—
1450C23—24no—
1451C23—22no—
1452C23—22no—
1453C23—24no—
1454C23—24no—
1455C23—22no—
1456C23—22no—
1457C23—24no—
1458C23—24no—
1459C23—21no—
1460C23—24no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—21no—
1466C23—24no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—24no—
1471C23—22no—
1472C23—22no—
1473C23—24no—
1474C23—22no—
1475C23—24no—
1476C23—22no—
1477C23—22no—
1478C23—24no—
1479C23—22no—
1480C23—24no—
1481C23—22no—
1482C23—24no—
1483C23—21no—
1484C23—21no—
1485C23—416no—
1486C23—88no—
1487C23—88no—
1488C23—84no—
1489C23—88no—
1490C23—164no—
1491C23—164no—
1492C23—164no—
1493C23—164no—
1494C23—162no—
1495C23—164no—
1496C23—162no—
1497C23C2×H(5,𝔽2)14yes—
1498C23C2611yescharacteristic
1499Q8—44no—
1500Q8—44no—
1501Q8—84no—
1502Q8—84no—
1503Q8—82no—
1504D4—48no—
1505D4—48no—
1506D4—48no—
1507D4—44no—
1508D4—48no—
1509D4—48no—
1510D4—88no—
1511D4—88no—
1512D4—84no—
1513D4—84no—
1514D4—82no—
1515D4—82no—
1516D4—84no—
1517D4—84no—
1518D4—88no—
1519D4—88no—
1520D4—84no—
1521D4—88no—
1522D4—84no—
1523D4—88no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—88no—
1529D4—82no—
1530D4—84no—
1531D4—88no—
1532D4—162no—
1533D4—164no—
1534D4—164no—
1535D4—164no—
1536D4—164no—
1537D4—164no—
1538D4—164no—
1539D4—164no—
1540D4—164no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—216no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—48no—
1598C2×C4—48no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—84no—
1602C2×C4—88no—
1603C2×C4—84no—
1604C2×C4—88no—
1605C2×C4—164no—
1606C2×C4—164no—
1607C2×C4—162no—
1608C2×C4—164no—
1609C2×C4C2×H(5,𝔽2)14yes—
1610C2×C4C2×H(5,𝔽2)14yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×H(5,𝔽2)14yes—
1613C2×C4C2×H(5,𝔽2)14yes—
1614C2×C4C2×H(5,𝔽2)12yes—
1615C2×C4#58514yes—
1616C22—24no—
1617C22—24no—
1618C22—24no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—41no—
1624C22—42no—
1625C22—42no—
1626C22—41no—
1627C22—44no—
1628C22—44no—
1629C22—42no—
1630C22—42no—
1631C22—44no—
1632C22—44no—
1633C22—41no—
1634C22—41no—
1635C22—42no—
1636C22—42no—
1637C22—44no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—44no—
1642C22—42no—
1643C22—44no—
1644C22—44no—
1645C22—41no—
1646C22—42no—
1647C22—44no—
1648C22—41no—
1649C22—42no—
1650C22—44no—
1651C22—42no—
1652C22—44no—
1653C22—42no—
1654C22—42no—
1655C22—44no—
1656C22—44no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—44no—
1661C22—1616no—
1662C22—168no—
1663C22C22×H(5,𝔽2)11yescharacteristic
1664C22C22×H(5,𝔽2)12yes—
1665C22C22×H(5,𝔽2)11yescharacteristic
1666C22C2×#58512yes—
1667C22H(7,𝔽2)11yescharacteristic
1668C4—24no—
1669C4—24no—
1670C4—24no—
1671C4—22no—
1672C4—24no—
1673C4—42no—
1674C4—41no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4—41no—
1679C4—42no—
1680C4—42no—
1681C4—44no—
1682C4—44no—
1683C4—44no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—44no—
1689C4#353714yes—
1690C2—44no—
1691C2—81no—
1692C2—82no—
1693C2—82no—
1694C2—84no—
1695C2—81no—
1696C2—84no—
1697C2C2×#353711yescharacteristic
1698C2#6283412yes—
1699C2#6291611yescharacteristic
1700C2#6292412yes—
1701C2#6302411yescharacteristic
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. #59548C2semidirect
2. #53544C2semidirect
3. #53528C2semidirect
4. #53450C2semidirect
5. #52966C2semidirect
6. #50762C2semidirect
7. #50674C2semidirect
8. #50652C2semidirect
9. #47678C2semidirect
10. #46504C2semidirect
11. #46328C2semidirect
12. #45608C2semidirect
13. #45437C2semidirect
14. #44886C2semidirect
15. #44870C2semidirect
16. #42989C2semidirect
17. #42987C2semidirect
18. #42341C2semidirect
19. #40150C2semidirect
20. #39747C2semidirect
21. #39342C2semidirect
22. #39334C2semidirect
23. #38949C2semidirect
24. #37272C2semidirect
25. #36402C2semidirect
26. #36089C2semidirect
27. #35533C2semidirect
28. #35007C2semidirect
29. #34925C2semidirect
30. C2×#560C22semidirect
31. C2×#556C22semidirect
32. C2×#550C22semidirect
33. C2×#546C22semidirect
35. C2×#538C22semidirect
36. C2×#537C22semidirect
39. C2×#535C22semidirect
40. C2×#532C22semidirect
41. C2×#532C22semidirect
42. C2×#520C22semidirect
43. #2860C22semidirect
44. #2858C22semidirect
46. #2855C22semidirect
47. #2854C22semidirect
49. #2830C22semidirect
50. #2829C22semidirect
51. #2829C22semidirect
52. #2825C22semidirect
53. #2823C22semidirect
54. #2818C22semidirect
55. #2815C22semidirect
56. #2780C22semidirect
57. #2778C22semidirect
58. #2760C22semidirect
59. #2753C22semidirect
60. #2753C22semidirect
61. #2753C22semidirect
62. #2749C22semidirect
63. #2730C22semidirect
64. #2730C22semidirect
65. #2729C22semidirect
66. #2714C22semidirect
67. #2714C22semidirect
68. #2714C22semidirect
69. #2706C22semidirect
70. #2701C22semidirect
71. #2699C22semidirect
72. #2699C22semidirect
73. #2699C22semidirect
74. #2699C22semidirect
75. #2699C22semidirect
76. #2699C22semidirect
77. #2697C22semidirect
78. #2697C22semidirect
79. #2697C22semidirect
80. #2691C22semidirect
81. #2688C22semidirect
82. #2688C22semidirect
83. #2688C22semidirect
84. #2686C22semidirect
85. #2685C22semidirect
86. #2682C22semidirect
88. #2678C22semidirect
89. #2676C22semidirect
90. #2676C22semidirect
91. #2675C22semidirect
92. #2674C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2673C22semidirect
98. #2671C22semidirect
100. #2670C22semidirect
101. #2670C22semidirect
102. #2670C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2669C22semidirect
108. #2669C22semidirect
109. #2668C22semidirect
110. #2665C22semidirect
111. #2662C22semidirect
112. #2662C22semidirect
113. #2661C22semidirect
114. #2657C22semidirect
115. #2653C22semidirect
116. #2637C22semidirect
117. #2635C22semidirect
118. #2632C22semidirect
119. #2617C22semidirect
120. #2616C22semidirect
121. #2616C22semidirect
123. #2615C22semidirect
125. #2603C22semidirect
126. #2600C22semidirect
127. #2597C22semidirect
128. #2595C22semidirect
129. #2595C22semidirect
130. #2594C22semidirect
131. #2576C22semidirect
133. #2555C22semidirect
134. #2555C22semidirect
135. #2555C22semidirect
136. #2555C22semidirect
137. #2555C22semidirect
138. #2555C22semidirect
139. #2554C22semidirect
140. #2554C22semidirect
141. #2551C22semidirect
142. #2548C22semidirect
143. #2548C22semidirect
144. #2548C22semidirect
145. #2547C22semidirect
146. #2545C22semidirect
147. #2544C22semidirect
148. #2544C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
155. #2540C22semidirect
156. #2537C22semidirect
157. #2537C22semidirect
158. #2536C22semidirect
159. #2535C22semidirect
160. #2526C22semidirect
161. #2525C22semidirect
162. #2512C22semidirect
163. #2508C22semidirect
164. #2502C22semidirect
165. #2497C22semidirect
166. #2494C22semidirect
167. #2491C22semidirect
168. #2491C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
171. #2487C22semidirect
172. #2486C22semidirect
173. #2486C22semidirect
174. #2472C22semidirect
175. #2472C22semidirect
176. #2468C22semidirect
177. #2468C22semidirect
178. #2464C22semidirect
179. #2461C22semidirect
180. #2461C22semidirect
181. #2456C22semidirect
182. #2447C22semidirect
184. #2440C22semidirect
188. #2433C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
195. #2426C22semidirect
196. #2424C22semidirect
197. #2424C22semidirect
198. #2424C22semidirect
199. #2424C22semidirect
200. #2424C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2424C22semidirect
204. #2420C22semidirect
205. #2420C22semidirect
206. #2417C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2416C22semidirect
213. #2415C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2412C22semidirect
221. #2410C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
230. #2399C22semidirect
232. #2388C22semidirect
233. #2388C22semidirect
234. #2377C22semidirect
235. #2373C22semidirect
237. #2362C22semidirect
238. #2361C22semidirect
239. #2357C22semidirect
240. #2357C22semidirect
241. #2354C22semidirect
242. #2352C22semidirect
243. #2347C22semidirect
244. #2346C22semidirect
245. #2328C22semidirect
246. #2326C22semidirect
247. #2321C22semidirect
248. #2311C22semidirect
249. #2308C22semidirect
250. C4×#127C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. C4×#121C22semidirect
254. C4×#121C22semidirect
255. #2296C22semidirect
256. #2295C22semidirect
257. C2×#390C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#595482
#535442
#535282
#534502
#529662
#507622
#506742
#506522
#476782
#465042
#463282
#456082
#454372
#448862
#448702
#429892
#429872
#423412
#401502
#397472
#393422
#393342
#389492
#372722
#364022
#360892
#355332
#350072
#349252