Finite Group Databasebeta

← #7657616

Subgroups — #7657616

Order 512.

4985 conjugacy classes of subgroups.

The subgroup lattice has 1739 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42768C212yesmaximal, complemented
2#42761C212yesmaximal, complemented
3#42586C212yesmaximal, complemented
4#42563C212yesmaximal, complemented
5#41805C214yesmaximal, complemented
6#41797C214yesmaximal, complemented
7#41316C214yesmaximal, complemented
8#41265C214yesmaximal, complemented
9#39083C212yesmaximal, complemented
10#39066C212yesmaximal, complemented
11#38966C211yesmaximal, characteristic, complemented
12#38953C211yesmaximal, characteristic, complemented
13#38922C211yesmaximal, characteristic, complemented
14#38910C211yesmaximal, characteristic, complemented
15#38216C212yesmaximal, complemented
16#38202C212yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37625C211yesmaximal, characteristic, complemented
19#37508C212yesmaximal, complemented
20#37493C212yesmaximal, complemented
21#36472C211yesmaximal, characteristic, complemented
22#36459C211yesmaximal, characteristic, complemented
23#36300C211yesmaximal, characteristic, complemented
24#36270C211yesmaximal, characteristic, complemented
25#36015C212yesmaximal, complemented
26#35982C212yesmaximal, complemented
27#35823C212yesmaximal, complemented
28#35798C212yesmaximal, complemented
29#35288C211yesmaximal, characteristic, complemented
30#35266C212yesmaximal, complemented
31#34621C211yesmaximal, characteristic, complemented
32#34621C212yesmaximal, complemented
33#34321C211yesmaximal, characteristic, complemented
34#34310C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#553C2212yescomplemented
38C2×#552C2212yescomplemented
39C2×D42C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#518C2212yes—
42#2860C2212yes—
43#2860C2212yes—
44#2860C2212yescomplemented
45#2860C2212yescomplemented
46#2859C2211yescharacteristic, complemented
47#2858C2211yescharacteristic
48#2857C2211yescharacteristic, complemented
49#2856C2211yescharacteristic
50#2831C2214yescomplemented
51#2829C2214yescomplemented
52#2829C2214yescomplemented
53#2828C2214yescomplemented
54#2827C2214yescomplemented
55#2826C2214yescomplemented
56#2790C2214yescomplemented
57#2781C2214yescomplemented
58#2770C2214yescomplemented
59#2768C2214yescomplemented
60#2757C2214yescomplemented
61#2756C2214yescomplemented
62#2753C2214yescomplemented
63#2753C2214yescomplemented
64#2752C2214yescomplemented
65#2741C2214yescomplemented
66#2738C2214yescomplemented
67#2735C2214yescomplemented
68#2718C2214yescomplemented
69#2715C2214yescomplemented
70#2714C2214yescomplemented
71#2705C2214yescomplemented
72#2685C2214yes—
73#2685C2214yescomplemented
74#2685C2214yescomplemented
75#2685C2214yescomplemented
76#2678C2214yes—
77#2672C2214yescomplemented
78#2670C2214yes—
79#2670C2214yes—
80#2661C2214yescomplemented
81#2654C2214yescomplemented
82#2651C2214yescomplemented
83#2651C2214yescomplemented
84#2651C2214yescomplemented
85#2651C2212yescomplemented
86#2651C2212yescomplemented
87#2648C2214yescomplemented
88#2648C2214yescomplemented
89#2648C2212yescomplemented
90#2648C2212yescomplemented
91#2648C2214yescomplemented
92#2647C2212yescomplemented
93#2647C2211yescharacteristic, complemented
94#2644C2212yes—
95#2644C2211yescharacteristic
96#2644C2211yescharacteristic, complemented
97#2644C2212yescomplemented
98#2644C2212yescomplemented
99#2641C2211yescharacteristic
100#2641C2212yescomplemented
101#2637C2214yescomplemented
102#2633C2214yescomplemented
103#2630C2214yescomplemented
104#2630C2214yescomplemented
105#2629C2212yescomplemented
106#2629C2212yescomplemented
107#2629C2211yescharacteristic, complemented
108#2625C2212yescomplemented
109#2624C2211yescharacteristic
110#2624C2212yes—
111#2624C2212yescomplemented
112#2624C2211yescharacteristic, complemented
113#2624C2212yescomplemented
114#2624C2212yescomplemented
115#2622C2214yescomplemented
116#2620C2212yescomplemented
117#2619C2212yes—
118#2619C2211yescharacteristic
119#2617C2214yescomplemented
120#2603C2214yescomplemented
121#2602C2214yescomplemented
122#2601C2214yescomplemented
123#2598C2214yescomplemented
124#2596C2214yescomplemented
125#2577C2214yescomplemented
126#2567C2211yescharacteristic, complemented
127#2566C2212yes—
128#2563C2211yescharacteristic
129#2562C2212yescomplemented
130#2562C2214yescomplemented
131#2560C2214yescomplemented
132#2558C2214yescomplemented
133#2558C2214yescomplemented
134#2554C2214yescomplemented
135#2552C2211yescharacteristic, complemented
136#2552C2212yescomplemented
137#2552C2211yescharacteristic, complemented
138#2548C2211yescharacteristic
139#2541C2211yescharacteristic
140#2540C2212yes—
141#2538C2211yescharacteristic
142#2538C2211yescharacteristic, complemented
143#2537C2212yes—
144#2536C2212yescomplemented
145#2534C2214yescomplemented
146#2532C2214yescomplemented
147#2521C2214yescomplemented
148#2519C2214yescomplemented
149#2518C2214yescomplemented
150#2513C2214yescomplemented
151#2513C2212yescomplemented
152#2513C2214yescomplemented
153#2513C2212yescomplemented
154#2512C2212yes—
155#2512C2212yescomplemented
156#2512C2214yescomplemented
157#2512C2214yescomplemented
158#2508C2212yescomplemented
159#2508C2212yescomplemented
160#2506C2212yescomplemented
161#2500C2212yes—
162#2500C2214yescomplemented
163#2496C2212yescomplemented
164#2496C2212yescomplemented
165#2495C2212yescomplemented
166#2490C2212yes—
167#2490C2212yes—
168#2490C2212yescomplemented
169#2490C2212yescomplemented
170#2489C2212yescomplemented
171#2485C2212yescomplemented
172#2485C2212yescomplemented
173#2480C2214yescomplemented
174#2480C2214yescomplemented
175#2480C2214yescomplemented
176#2480C2214yescomplemented
177#2480C2214yescomplemented
178#2479C2214yescomplemented
179#2474C2214yescomplemented
180#2468C2214yescomplemented
181#2467C2214yescomplemented
182#2464C2214yescomplemented
183#2464C2214yescomplemented
184#2454C2212yes—
185#2454C2212yescomplemented
186#2454C2212yescomplemented
187#2454C2212yescomplemented
188#2448C2212yescomplemented
189#2448C2212yescomplemented
190#2447C2212yescomplemented
191#2445C2212yes—
192#2445C2212yescomplemented
193#2442C2212yescomplemented
194#2441C2212yescomplemented
195#2441C2212yescomplemented
196#2435C2212yes—
197#2433C2212yes—
198#2428C2212yescomplemented
199#2427C2212yes—
200#2427C2212yescomplemented
201#2427C2212yescomplemented
202#2426C2212yescomplemented
203#2424C2214yescomplemented
204#2422C2212yescomplemented
205#2422C2212yescomplemented
206#2420C2212yescomplemented
207#2418C2214yescomplemented
208#2418C2214yescomplemented
209#2416C2212yescomplemented
210#2415C2212yescomplemented
211#2414C2212yes—
212#2414C2212yes—
213#2414C2212yes—
214#2414C2212yescomplemented
215#2411C2214yescomplemented
216#2408C2212yes—
217#2408C2212yes—
218#2408C2212yes—
219#2408C2212yes—
220#2395C2212yescomplemented
221#2395C2212yescomplemented
222#2395C2214yescomplemented
223#2395C2214yescomplemented
224#2392C2212yescomplemented
225#2392C2214yescomplemented
226#2392C2212yescomplemented
227#2392C2214yescomplemented
228#2374C2212yescomplemented
229#2374C2212yescomplemented
230#2373C2212yescomplemented
231#2373C2212yescomplemented
232#2370C2211yescharacteristic, complemented
233#2370C2211yescharacteristic, complemented
234#2369C2211yescharacteristic, complemented
235#2367C2211yescharacteristic
236#2367C2211yescharacteristic
237#2367C2214yescomplemented
238#2367C2212yescomplemented
239#2366C2211yescharacteristic
240#2363C2212yes—
241#2363C2211yescharacteristic
242#2363C2211yescharacteristic
243#2363C2212yescomplemented
244#2362C2211yescharacteristic, complemented
245#2362C2211yescharacteristic, complemented
246#2361C2212yes—
247#2361C2212yes—
248#2361C2212yescomplemented
249#2358C2214yes—
250#2354C2211yescharacteristic
251#2354C2211yescharacteristic
252#2354C2212yescomplemented
253#2354C2212yescomplemented
254#2352C2212yescomplemented
255D4×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2211yescharacteristic, complemented
257#2347C2212yescomplemented
258#2347C2212yescomplemented
259#2347C2212yescomplemented
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2212yes—
262#2337C2214yescomplemented
263#2324C2212yes—
264#2324C2212yes—
265#2324C2212yescomplemented
266#2321C2214yes—
267#2319C2212yescomplemented
268#2317C2212yescomplemented
269#2316C2212yescomplemented
270#2309C2212yes—
271#2309C2212yes—
272C4×C4⋊Q8C2211yescharacteristic, complemented
273C4×#127C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#127C2212yescomplemented
276C4×#125C2211yescharacteristic, complemented
277C4×#125C2212yescomplemented
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic, complemented
281C4×#121C2212yescomplemented
282#2298C2212yescomplemented
283#2296C2212yescomplemented
284#2295C2211yescharacteristic, complemented
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic, complemented
288#2293C2212yescomplemented
289#2293C2212yescomplemented
290#2293C2212yescomplemented
291C2×#390C2212yes—
292#2290C2212yescomplemented
293#2274C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C4×#117C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C23×D4C2312yes—
300C23×D4C2312yes—
301#555—28no—
302#553—48no—
303#552—48no—
304D42—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×#127C2311yescharacteristic
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309#529—28no—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#124C2314yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353#518—48no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2314yes—
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2314yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2314yes—
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2312yes—
414#399C2314yes—
415#399C2312yes—
416#399C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2314yes—
470#396C2312yes—
471#396C2312yes—
472#396C2314yes—
473#395C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2312yes—
507#394C2312yes—
508#394C2312yes—
509#394C2312yes—
510#393C2314yes—
511#392C2314yes—
512#392C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2312yes—
520#392C2314yes—
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#390C2314yes—
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2311yescharacteristic
566#390C2312yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2314yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2314yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2312yes—
717#384C2314yes—
718#383C2314yes—
719#383C2314yes—
720#382C2312yes—
721#382C2311yescharacteristic
722#382C2312yes—
723#382C2314yes—
724#382C2314yes—
725#381C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#379C2314yes—
745#379C2314yes—
746#379C2314yes—
747#379C2314yes—
748#379C2314yes—
749#379C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811#376C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C25C2414yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×D4—28no—
820C22×D4—28no—
821C22×D4—44no—
822C22×D4—44no—
823C22×D4—44no—
824C22×D4—44no—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C4⋊Q8—24no—
855#127—24no—
856#127—42no—
857#127—44no—
858#126—28no—
859#126—48no—
860#126—48no—
861#126—84no—
862#126—84no—
863#126—84no—
864#125—24no—
865#125—44no—
866#125—42no—
867#125—48no—
868#125—44no—
869#125—44no—
870#124—24no—
871#124—216no—
872#124—44no—
873#124—82no—
874#124—82no—
875#123—28no—
876#123—48no—
877#123—48no—
878#123—84no—
879C22⋊Q8—24no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—82no—
883#121—24no—
884#121—28no—
885#121—28no—
886#121—28no—
887#121—28no—
888#121—48no—
889#121—42no—
890#121—44no—
891#121—44no—
892#121—42no—
893#121—44no—
894#121—44no—
895#121—82no—
896#121—84no—
897#120—216no—
898#120—84no—
899#120—84no—
900#120—84no—
901C4×Q8—24no—
902C4×Q8—24no—
903C4×Q8—42no—
904C4×Q8—82no—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—48no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—42no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—48no—
920C4×D4—44no—
921C4×D4—48no—
922C4×D4—44no—
923C4×D4—84no—
924C4×D4—82no—
925C4×D4—84no—
926C4×D4#4118yes—
927#117—28no—
928#117—28no—
929#117—28no—
930#117—28no—
931#117—24no—
932#117—42no—
933#117—42no—
934#117—44no—
935#117—44no—
936#117—44no—
937#117—48no—
938#117—44no—
939#117—42no—
940#117—84no—
941C2×C4⋊C4—28no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C22⋊C4—48no—
1007C2×C22⋊C4—48no—
1008C2×C22⋊C4—84no—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C42—24no—
1084C2×C42—44no—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121#95C2412yes—
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24—28no—
1180C24—44no—
1181C24—44no—
1182C24—44no—
1183C24—44no—
1184C24—44no—
1185C24—44no—
1186C24C2512yes—
1187C24C2514yes—
1188C24C2512yes—
1189C24C2511yescharacteristic
1190C24C2512yes—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—28no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—432no—
1248C2×D4—816no—
1249C2×D4C2×#4114yes—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—28no—
1267C22×C4—28no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4C2×#4118yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2514yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—41no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4C2×#4114yes—
1378C4⋊C4H(5,𝔽2)14yes—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—42no—
1403C22⋊C4—41no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—41no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4C2×#4118yes—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—28no—
1457C42—24no—
1458C42—28no—
1459C42—24no—
1460C42—22no—
1461C42—24no—
1462C42—24no—
1463C42—22no—
1464C42—22no—
1465C42—24no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—24no—
1470C42—22no—
1471C42—24no—
1472C42—22no—
1473C42—42no—
1474C42—42no—
1475C42—44no—
1476C42—42no—
1477C42—42no—
1478C42—44no—
1479C42—42no—
1480C42—41no—
1481C42—42no—
1482C42—41no—
1483C42—44no—
1484C42—41no—
1485C42—41no—
1486C42—42no—
1487C42—42no—
1488C42C2×#4114yes—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—21no—
1497C23—22no—
1498C23—24no—
1499C23—22no—
1500C23—21no—
1501C23—24no—
1502C23—22no—
1503C23—21no—
1504C23—22no—
1505C23—24no—
1506C23—21no—
1507C23—21no—
1508C23—22no—
1509C23—22no—
1510C23—24no—
1511C23—24no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—24no—
1517C23—22no—
1518C23—21no—
1519C23—24no—
1520C23—22no—
1521C23—22no—
1522C23—21no—
1523C23—416no—
1524C23—88no—
1525C23—88no—
1526C23—164no—
1527C23—164no—
1528C23—164no—
1529C23—164no—
1530C23C22×#4114yes—
1531C23C2611yescharacteristic
1532Q8—44no—
1533Q8—84no—
1534D4—28no—
1535D4—416no—
1536D4—48no—
1537D4—44no—
1538D4—48no—
1539D4—44no—
1540D4—84no—
1541D4—88no—
1542D4—84no—
1543D4—88no—
1544D4—84no—
1545D4—84no—
1546D4—88no—
1547D4—84no—
1548D4—84no—
1549D4—88no—
1550D4—164no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—216no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—44no—
1634C2×C4—48no—
1635C2×C4—48no—
1636C2×C4—44no—
1637C2×C4—82no—
1638C2×C4—84no—
1639C2×C4—88no—
1640C2×C4—88no—
1641C2×C4—84no—
1642C2×C4—164no—
1643C2×C4—164no—
1644C2×C4C22×#4114yes—
1645C2×C4C22×#4112yes—
1646C2×C4C22×#4112yes—
1647C2×C4C22×#4112yes—
1648C2×C4C2×H(5,𝔽2)14yes—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C2×C4#58512yes—
1651C2×C4#58512yes—
1652C2×C4#58512yes—
1653C22—24no—
1654C22—24no—
1655C22—24no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—41no—
1661C22—42no—
1662C22—44no—
1663C22—42no—
1664C22—41no—
1665C22—42no—
1666C22—44no—
1667C22—42no—
1668C22—42no—
1669C22—44no—
1670C22—42no—
1671C22—41no—
1672C22—44no—
1673C22—42no—
1674C22—41no—
1675C22—42no—
1676C22—42no—
1677C22—41no—
1678C22—42no—
1679C22—44no—
1680C22—42no—
1681C22—42no—
1682C22—41no—
1683C22—44no—
1684C22—41no—
1685C22—42no—
1686C22—44no—
1687C22—42no—
1688C22—1616no—
1689C22C23×#4111yescharacteristic
1690C22C22×H(5,𝔽2)11yescharacteristic
1691C22C2×#58511yescharacteristic
1692C22C2×#58511yescharacteristic
1693C22C2×#58511yescharacteristic
1694C22H(7,𝔽2)11yescharacteristic
1695C22H(7,𝔽2)11yescharacteristic
1696C4—24no—
1697C4—22no—
1698C4—24no—
1699C4—41no—
1700C4—41no—
1701C4—42no—
1702C4—44no—
1703C4—41no—
1704C4—42no—
1705C4—44no—
1706C4—41no—
1707C4—41no—
1708C4—44no—
1709C4—41no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—41no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4#346014yes—
1725C4#352114yes—
1726C2—44no—
1727C2—81no—
1728C2—82no—
1729C2—84no—
1730C2—82no—
1731C2C2×#346011yescharacteristic
1732C2C2×#352111yescharacteristic
1733C2#6285811yescharacteristic
1734C2#6292011yescharacteristic
1735C2#6292311yescharacteristic
1736C2#6293711yescharacteristic
1737C2#6293811yescharacteristic
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. #42768C2semidirect
2. #42761C2semidirect
3. #42586C2semidirect
4. #42563C2semidirect
5. #41805C2semidirect
6. #41797C2semidirect
7. #41316C2semidirect
8. #41265C2semidirect
9. #39083C2semidirect
10. #39066C2semidirect
11. #38966C2semidirect
12. #38953C2semidirect
13. #38922C2semidirect
14. #38910C2semidirect
15. #38216C2semidirect
16. #38202C2semidirect
17. #37637C2semidirect
18. #37625C2semidirect
19. #37508C2semidirect
20. #37493C2semidirect
21. #36472C2semidirect
22. #36459C2semidirect
23. #36300C2semidirect
24. #36270C2semidirect
25. #36015C2semidirect
26. #35982C2semidirect
27. #35823C2semidirect
28. #35798C2semidirect
29. #35288C2semidirect
30. #35266C2semidirect
31. #34621C2semidirect
32. #34621C2semidirect
33. #34321C2semidirect
34. #34310C2semidirect
35. #34151C2semidirect
37. C2×#553C22semidirect
38. C2×#552C22semidirect
44. #2860C22semidirect
45. #2860C22semidirect
46. #2859C22semidirect
48. #2857C22semidirect
50. #2831C22semidirect
51. #2829C22semidirect
52. #2829C22semidirect
53. #2828C22semidirect
54. #2827C22semidirect
55. #2826C22semidirect
56. #2790C22semidirect
57. #2781C22semidirect
58. #2770C22semidirect
59. #2768C22semidirect
60. #2757C22semidirect
61. #2756C22semidirect
62. #2753C22semidirect
63. #2753C22semidirect
64. #2752C22semidirect
65. #2741C22semidirect
66. #2738C22semidirect
67. #2735C22semidirect
68. #2718C22semidirect
69. #2715C22semidirect
70. #2714C22semidirect
71. #2705C22semidirect
73. #2685C22semidirect
74. #2685C22semidirect
75. #2685C22semidirect
77. #2672C22semidirect
80. #2661C22semidirect
81. #2654C22semidirect
82. #2651C22semidirect
83. #2651C22semidirect
84. #2651C22semidirect
85. #2651C22semidirect
86. #2651C22semidirect
87. #2648C22semidirect
88. #2648C22semidirect
89. #2648C22semidirect
90. #2648C22semidirect
91. #2648C22semidirect
92. #2647C22semidirect
93. #2647C22semidirect
96. #2644C22semidirect
97. #2644C22semidirect
98. #2644C22semidirect
100. #2641C22semidirect
101. #2637C22semidirect
102. #2633C22semidirect
103. #2630C22semidirect
104. #2630C22semidirect
105. #2629C22semidirect
106. #2629C22semidirect
107. #2629C22semidirect
108. #2625C22semidirect
111. #2624C22semidirect
112. #2624C22semidirect
113. #2624C22semidirect
114. #2624C22semidirect
115. #2622C22semidirect
116. #2620C22semidirect
119. #2617C22semidirect
120. #2603C22semidirect
121. #2602C22semidirect
122. #2601C22semidirect
123. #2598C22semidirect
124. #2596C22semidirect
125. #2577C22semidirect
126. #2567C22semidirect
129. #2562C22semidirect
130. #2562C22semidirect
131. #2560C22semidirect
132. #2558C22semidirect
133. #2558C22semidirect
134. #2554C22semidirect
135. #2552C22semidirect
136. #2552C22semidirect
137. #2552C22semidirect
142. #2538C22semidirect
144. #2536C22semidirect
145. #2534C22semidirect
146. #2532C22semidirect
147. #2521C22semidirect
148. #2519C22semidirect
149. #2518C22semidirect
150. #2513C22semidirect
151. #2513C22semidirect
152. #2513C22semidirect
153. #2513C22semidirect
155. #2512C22semidirect
156. #2512C22semidirect
157. #2512C22semidirect
158. #2508C22semidirect
159. #2508C22semidirect
160. #2506C22semidirect
162. #2500C22semidirect
163. #2496C22semidirect
164. #2496C22semidirect
165. #2495C22semidirect
168. #2490C22semidirect
169. #2490C22semidirect
170. #2489C22semidirect
171. #2485C22semidirect
172. #2485C22semidirect
173. #2480C22semidirect
174. #2480C22semidirect
175. #2480C22semidirect
176. #2480C22semidirect
177. #2480C22semidirect
178. #2479C22semidirect
179. #2474C22semidirect
180. #2468C22semidirect
181. #2467C22semidirect
182. #2464C22semidirect
183. #2464C22semidirect
185. #2454C22semidirect
186. #2454C22semidirect
187. #2454C22semidirect
188. #2448C22semidirect
189. #2448C22semidirect
190. #2447C22semidirect
192. #2445C22semidirect
193. #2442C22semidirect
194. #2441C22semidirect
195. #2441C22semidirect
198. #2428C22semidirect
200. #2427C22semidirect
201. #2427C22semidirect
202. #2426C22semidirect
203. #2424C22semidirect
204. #2422C22semidirect
205. #2422C22semidirect
206. #2420C22semidirect
207. #2418C22semidirect
208. #2418C22semidirect
209. #2416C22semidirect
210. #2415C22semidirect
214. #2414C22semidirect
215. #2411C22semidirect
220. #2395C22semidirect
221. #2395C22semidirect
222. #2395C22semidirect
223. #2395C22semidirect
224. #2392C22semidirect
225. #2392C22semidirect
226. #2392C22semidirect
227. #2392C22semidirect
228. #2374C22semidirect
229. #2374C22semidirect
230. #2373C22semidirect
231. #2373C22semidirect
232. #2370C22semidirect
233. #2370C22semidirect
234. #2369C22semidirect
237. #2367C22semidirect
238. #2367C22semidirect
243. #2363C22semidirect
244. #2362C22semidirect
245. #2362C22semidirect
248. #2361C22semidirect
252. #2354C22semidirect
253. #2354C22semidirect
254. #2352C22semidirect
256. D4×C4⋊C4C22semidirect
257. #2347C22semidirect
258. #2347C22semidirect
259. #2347C22semidirect
262. #2337C22semidirect
265. #2324C22semidirect
267. #2319C22semidirect
268. #2317C22semidirect
269. #2316C22semidirect
272. C4×C4⋊Q8C22semidirect
275. C4×#127C22semidirect
276. C4×#125C22semidirect
277. C4×#125C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. #2298C22semidirect
283. #2296C22semidirect
284. #2295C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
292. #2290C22semidirect
293. #2274C22semidirect
294. C42×Q8C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#427682
#427612
#425862
#425632
#418052
#417972
#413162
#412652
#390832
#390662
#389662
#389532
#389222
#389102
#382162
#382022
#376372
#376252
#375082
#374932
#364722
#364592
#363002
#362702
#360152
#359822
#358232
#357982
#352882
#352662
#346212
#343212
#343102
#341512