Finite Group Databasebeta

← #7647356

Subgroups — #7647356

Order 512.

5854 conjugacy classes of subgroups.

The subgroup lattice has 1673 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41046C214yesmaximal, complemented
2#41030C214yesmaximal, complemented
3#40917C214yesmaximal, complemented
4#40912C214yesmaximal, complemented
5#39439C212yesmaximal, complemented
6#39419C212yesmaximal, complemented
7#39071C212yesmaximal, complemented
8#39045C212yesmaximal, complemented
9#38250C212yesmaximal, complemented
10#38200C212yesmaximal, complemented
11#37782C212yesmaximal, complemented
12#37748C212yesmaximal, complemented
13#37501C212yesmaximal, complemented
14#37480C211yesmaximal, characteristic, complemented
15#37437C211yesmaximal, characteristic, complemented
16#36818C212yesmaximal, complemented
17#36816C212yesmaximal, complemented
18#36735C214yesmaximal, complemented
19#35438C212yesmaximal, complemented
20#35408C212yesmaximal, complemented
21#35250C211yesmaximal, characteristic, complemented
22#35195C212yesmaximal, complemented
23#35149C211yesmaximal, characteristic, complemented
24#35053C214yesmaximal, complemented
25#35044C212yesmaximal, complemented
26#34715C212yesmaximal, complemented
27#34246C211yesmaximal, characteristic, complemented
28C22⋊C4×#41C211yesmaximal, characteristic, complemented
29#34082C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C2×#542C2212yescomplemented
32C2×#536C2211yescharacteristic, complemented
33C2×#535C2211yescharacteristic
34C2×#535C2211yescharacteristic
35C2×#535C2211yescharacteristic, complemented
36C2×#532C2212yescomplemented
37C2×#525C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic, complemented
40C2×C4×#41C2211yescharacteristic, complemented
41#2863C2212yescomplemented
42#2858C2212yescomplemented
43#2854C2212yescomplemented
44#2852C2214yescomplemented
45#2850C2212yescomplemented
46#2850C2214yescomplemented
47#2849C2214yescomplemented
48#2847C2214yes—
49#2842C2212yes—
50#2840C2212yes—
51#2825C2214yescomplemented
52#2824C2214yescomplemented
53#2816C2212yescomplemented
54#2815C2212yescomplemented
55#2797C2214yescomplemented
56#2759C2214yescomplemented
57#2754C2214yescomplemented
58#2747C2214yescomplemented
59#2746C2214yescomplemented
60#2740C2214yescomplemented
61#2739C2214yescomplemented
62#2737C2214yescomplemented
63#2737C2214yescomplemented
64#2737C2214yescomplemented
65#2730C2214yescomplemented
66#2717C2214yescomplemented
67#2716C2214yescomplemented
68#2712C2214yescomplemented
69#2712C2214yescomplemented
70#2706C2214yescomplemented
71#2703C2214yescomplemented
72#2697C2214yescomplemented
73#2696C2214yescomplemented
74#2696C2214yescomplemented
75#2693C2214yescomplemented
76#2688C2214yescomplemented
77#2686C2214yescomplemented
78#2685C2214yescomplemented
79#2684C2214yescomplemented
80#2684C2214yescomplemented
81#2678C2214yescomplemented
82#2673C2214yescomplemented
83#2672C2214yescomplemented
84#2670C2214yescomplemented
85#2670C2214yescomplemented
86#2668C2214yescomplemented
87#2665C2214yescomplemented
88#2665C2214yescomplemented
89#2661C2214yes—
90#2653C2214yescomplemented
91#2648C2214yescomplemented
92#2648C2214yescomplemented
93#2644C2212yescomplemented
94#2640C2212yescomplemented
95#2636C2214yescomplemented
96#2631C2214yescomplemented
97#2631C2214yescomplemented
98#2631C2214yescomplemented
99#2630C2214yescomplemented
100#2628C2212yescomplemented
101#2628C2212yescomplemented
102#2625C2212yescomplemented
103#2624C2212yes—
104#2619C2212yescomplemented
105#2615C2212yes—
106#2615C2214yes—
107#2613C2214yes—
108#2613C2214yes—
109#2607C2212yescomplemented
110#2607C2214yescomplemented
111#2607C2212yescomplemented
112#2597C2214yescomplemented
113#2578C2214yescomplemented
114#2578C2214yescomplemented
115#2576C2214yescomplemented
116#2574C2214yescomplemented
117#2572C2214yescomplemented
118#2572C2214yescomplemented
119#2561C2212yescomplemented
120#2559C2214yescomplemented
121#2557C2214yescomplemented
122#2557C2214yescomplemented
123#2557C2214yescomplemented
124#2557C2214yescomplemented
125#2557C2214yescomplemented
126#2557C2214yescomplemented
127#2555C2214yescomplemented
128#2554C2214yescomplemented
129#2539C2212yescomplemented
130#2539C2214yescomplemented
131#2523C2214yescomplemented
132#2516C2214yescomplemented
133#2514C2212yescomplemented
134#2513C2212yescomplemented
135#2510C2214yescomplemented
136#2492C2212yescomplemented
137#2492C2214yescomplemented
138#2491C2212yescomplemented
139#2486C2212yescomplemented
140#2477C2214yescomplemented
141#2476C2214yescomplemented
142#2474C2214yescomplemented
143#2472C2214yescomplemented
144#2472C2214yescomplemented
145#2471C2214yescomplemented
146#2471C2214yescomplemented
147#2471C2214yescomplemented
148#2463C2214yescomplemented
149#2459C2214yescomplemented
150#2459C2214yescomplemented
151#2459C2214yescomplemented
152#2456C2214yescomplemented
153#2456C2214yescomplemented
154#2456C2214yescomplemented
155#2452C2212yescomplemented
156#2451C2212yescomplemented
157#2448C2212yescomplemented
158#2447C2212yescomplemented
159#2445C2212yescomplemented
160#2445C2212yescomplemented
161#2444C2214yescomplemented
162#2439C2212yescomplemented
163#2439C2212yescomplemented
164#2439C2212yescomplemented
165#2439C2212yescomplemented
166#2438C2214yescomplemented
167#2436C2212yes—
168#2433C2212yes—
169#2432C2212yes—
170#2432C2212yescomplemented
171#2431C2212yes—
172#2431C2212yes—
173#2431C2212yes—
174#2431C2212yescomplemented
175#2431C2214yescomplemented
176#2430C2214yescomplemented
177#2428C2212yescomplemented
178#2428C2212yescomplemented
179#2427C2212yescomplemented
180#2426C2212yescomplemented
181#2424C2214yescomplemented
182#2421C2212yescomplemented
183#2420C2212yescomplemented
184#2418C2214yescomplemented
185#2414C2212yescomplemented
186#2414C2212yescomplemented
187#2411C2214yescomplemented
188#2408C2212yescomplemented
189#2407C2212yes—
190#2407C2212yes—
191#2407C2212yescomplemented
192#2407C2212yescomplemented
193#2404C2212yes—
194#2404C2212yes—
195#2404C2214yescomplemented
196#2404C2214yescomplemented
197#2403C2212yes—
198#2403C2212yes—
199#2392C2214yescomplemented
200#2388C2214yescomplemented
201#2364C2214yescomplemented
202#2363C2212yes—
203#2363C2212yes—
204#2345C2212yescomplemented
205#2341C2212yes—
206Q8×C22⋊C4C2212yescomplemented
207#2339C2212yes—
208#2339C2214yescomplemented
209D4×C22⋊C4C2214yes—
210D4×C22⋊C4C2214yes—
211D4×C22⋊C4C2212yescomplemented
212D4×C22⋊C4C2212yescomplemented
213#2337C2214yescomplemented
214#2335C2212yescomplemented
215#2335C2212yescomplemented
216#2333C2212yes—
217#2333C2212yes—
218#2333C2211yescharacteristic, complemented
219#2333C2211yescharacteristic, complemented
220#2333C2214yescomplemented
221#2332C2211yescharacteristic, complemented
222#2332C2211yescharacteristic, complemented
223#2329C2212yescomplemented
224#2328C2212yescomplemented
225#2325C2212yescomplemented
226#2324C2212yescomplemented
227#2321C2212yes—
228#2321C2212yes—
229#2320C2212yescomplemented
230#2312C2212yescomplemented
231#2311C2211yescharacteristic
232#2311C2211yescharacteristic
233#2310C2211yescharacteristic, complemented
234#2309C2211yescharacteristic, complemented
235C4×#124C2212yescomplemented
236C4×C22⋊Q8C2212yescomplemented
237C4×#123C2214yescomplemented
238C4×#121C2212yescomplemented
239C4×#121C2212yescomplemented
240#2298C2212yescomplemented
241#2297C2212yes—
242#2297C2212yes—
243#2297C2212yescomplemented
244#2297C2211yescharacteristic, complemented
245#2297C2211yescharacteristic, complemented
246#2297C2214yescomplemented
247#2293C2212yescomplemented
248#2293C2212yescomplemented
249#2290C2212yescomplemented
250#2290C2212yescomplemented
251#2280C2211yescharacteristic
252#2280C2211yescharacteristic
253#2280C2211yescharacteristic
254#2280C2212yescomplemented
255#2273C2212yescomplemented
256C42×D4C2212yescomplemented
257C2×C4×C22⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2212yescomplemented
259C22×#41—28no—
260C22×#41—44no—
261C22×#41—44no—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C22×#41C2312yes—
267C22×#41C2311yescharacteristic
268C22×#41C2311yescharacteristic
269C22×#41C2314yes—
270C23×Q8C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2312yes—
273C23×D4C2311yescharacteristic
274C23×D4C2312yes—
275C24×C4C2312yes—
276C24×C4C2311yescharacteristic
277#542—48no—
278#536—44no—
279#535—44no—
280#535—44no—
281#535—44no—
282#532—48no—
283C2×C4⋊Q8C2312yes—
284C2×C4⋊Q8C2312yes—
285C2×C4⋊Q8C2312yes—
286C2×#127C2312yes—
287C2×#127C2312yes—
288C2×#127C2312yes—
289C2×#126C2314yes—
290C2×#124C2312yes—
291C2×#124C2314yes—
292C2×#124C2314yes—
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2314yes—
298C2×#124C2314yes—
299#525—28no—
300C2×#123C2312yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2311yescharacteristic
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×#121—28no—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2311yescharacteristic
317C2×#121C2312yes—
318C2×#121C2311yescharacteristic
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#120C2312yes—
330C2×#120C2314yes—
331C2×#120C2312yes—
332C2×#120C2312yes—
333C2×#120C2312yes—
334C2×#120C2312yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C4×#41—44no—
339C4×#41—44no—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2314yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C22⋊C4C2312yes—
368C22×C22⋊C4C2312yes—
369C22×C22⋊C4C2314yes—
370C22×C22⋊C4C2314yes—
371C22×C42C2312yes—
372C22×C42C2312yes—
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2312yes—
376#401C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
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#397C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#395C2314yes—
415#395C2314yes—
416#395C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
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#393C2314yes—
439#393C2314yes—
440#393C2314yes—
441#393C2314yes—
442#393C2314yes—
443#393C2314yes—
444#393C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2312yes—
502#390C2314yes—
503#390C2314yes—
504#390C2314yes—
505#390C2314yes—
506#390C2314yes—
507#390C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2312yes—
533#388C2312yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2312yes—
539#388C2314yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#387C2312yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2312yes—
569#387C2314yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2312yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#386C2312yes—
585#386C2312yes—
586#386C2312yes—
587#386C2312yes—
588#386C2314yes—
589#386C2314yes—
590#386C2312yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2312yes—
596#386C2312yes—
597#386C2312yes—
598#386C2312yes—
599#386C2312yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2312yes—
606#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#385C2312yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2312yes—
637#385C2314yes—
638#385C2314yes—
639#385C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#383C2314yes—
645#383C2314yes—
646#383C2314yes—
647#382C2314yes—
648#382C2312yes—
649#382C2312yes—
650#381C2312yes—
651#381C2314yes—
652#381C2314yes—
653#381C2314yes—
654#381C2314yes—
655#381C2311yescharacteristic
656#381C2311yescharacteristic
657#381C2312yes—
658#381C2314yes—
659#380C2314yes—
660#380C2314yes—
661#380C2314yes—
662#380C2314yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2314yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2314yes—
671#380C2312yes—
672#380C2312yes—
673#379C2314yes—
674#379C2314yes—
675#379C2314yes—
676#379C2311yescharacteristic
677#379C2311yescharacteristic
678#379C2312yes—
679#379C2312yes—
680#379C2314yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2311yescharacteristic
690C4×C22⋊C4C2312yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2311yescharacteristic
703C4×C22⋊C4C2311yescharacteristic
704C4×C22⋊C4C2311yescharacteristic
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721#376C2312yes—
722C2×#95C2312yes—
723C2×#95C2314yes—
724C43C2312yes—
725C25C2412yes—
726C25C2412yes—
727C25C2411yescharacteristic
728C2×#41—24no—
729C2×#41—24no—
730C2×#41—24no—
731C2×#41—24no—
732C2×#41—24no—
733C2×#41—28no—
734C2×#41—24no—
735C2×#41—24no—
736C2×#41—24no—
737C2×#41—28no—
738C2×#41—24no—
739C2×#41—42no—
740C2×#41—42no—
741C2×#41—48no—
742C2×#41—44no—
743C2×#41—44no—
744C2×#41—48no—
745C2×#41—44no—
746C2×#41—42no—
747C2×#41—42no—
748C2×#41—42no—
749C2×#41—42no—
750C2×#41—44no—
751C2×#41—464no—
752C2×#41—84no—
753C22×Q8—24no—
754C22×Q8—24no—
755C22×Q8—42no—
756C22×Q8C2411yescharacteristic
757C22×Q8C2412yes—
758C22×Q8C2411yescharacteristic
759C22×Q8C2411yescharacteristic
760C22×Q8C2414yes—
761C22×Q8C2414yes—
762C22×D4—28no—
763C22×D4—28no—
764C22×D4—24no—
765C22×D4—24no—
766C22×D4—24no—
767C22×D4—42no—
768C22×D4—44no—
769C22×D4—42no—
770C22×D4—42no—
771C22×D4—44no—
772C22×D4—84no—
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2411yescharacteristic
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2411yescharacteristic
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2412yes—
789C22×D4C2411yescharacteristic
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C23×C4—28no—
797C23×C4—42no—
798C23×C4—42no—
799C23×C4—44no—
800C23×C4—44no—
801C23×C4#4118yescomplemented
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2414yes—
805C23×C4C2412yes—
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2411yescharacteristic
809C23×C4C2411yescharacteristic
810C23×C4C2411yescharacteristic
811C23×C4C2412yes—
812C23×C4C2412yes—
813C23×C4C2414yes—
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2414yes—
818C23×C4C2414yes—
819C23×C4C2412yes—
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C4⋊Q8—44no—
824C4⋊Q8—44no—
825C4⋊Q8—44no—
826#127—28no—
827#127—44no—
828#127—44no—
829#126—48no—
830#124—28no—
831#124—48no—
832#124—48no—
833#124—44no—
834#124—48no—
835#124—44no—
836#124—44no—
837#124—84no—
838#124—84no—
839#123—28no—
840#123—48no—
841#123—48no—
842#123—48no—
843#123—84no—
844#123—84no—
845#123—84no—
846C22⋊Q8—28no—
847C22⋊Q8—24no—
848C22⋊Q8—24no—
849C22⋊Q8—48no—
850C22⋊Q8—44no—
851C22⋊Q8—84no—
852#121—28no—
853#121—28no—
854#121—28no—
855#121—28no—
856#121—28no—
857#121—24no—
858#121—24no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—44no—
863#121—44no—
864#121—44no—
865#121—48no—
866#121—84no—
867#120—28no—
868#120—44no—
869#120—44no—
870#120—48no—
871#120—44no—
872#120—44no—
873#120—84no—
874#120—84no—
875#120—84no—
876C4×Q8—28no—
877C4×Q8—44no—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—44no—
882C4×D4—48no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—48no—
888C4×D4—48no—
889C4×D4—84no—
890C4×D4—84no—
891#117—24no—
892#117—42no—
893#117—42no—
894#117—44no—
895#117—44no—
896#117—42no—
897#117—42no—
898#117—44no—
899#117—42no—
900#117—42no—
901#117—84no—
902C2×C4⋊C4—24no—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C22⋊C4—28no—
936C2×C22⋊C4—44no—
937C2×C22⋊C4—48no—
938C2×C22⋊C4—48no—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2411yescharacteristic
967C2×C22⋊C4C2411yescharacteristic
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C42—42no—
1009C2×C42—42no—
1010C2×C42—44no—
1011C2×C42—44no—
1012C2×C42—44no—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2414yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088C24—24no—
1089C24—24no—
1090C24—24no—
1091C24—42no—
1092C24—44no—
1093C24—41no—
1094C24—42no—
1095C24—41no—
1096C24—42no—
1097C24—44no—
1098C24—44no—
1099C24—42no—
1100C24—42no—
1101C24—44no—
1102C24C2×#4114yes—
1103C24C2514yes—
1104C24C2512yes—
1105C24C2512yes—
1106C24C2511yescharacteristic
1107C24C2511yescharacteristic
1108C24C2511yescharacteristic
1109C24C2512yes—
1110#41—232no—
1111#41—416no—
1112#41—416no—
1113#41—432no—
1114#41—416no—
1115#41—432no—
1116#41—88no—
1117#41—832no—
1118C2×Q8—22no—
1119C2×Q8—24no—
1120C2×Q8—22no—
1121C2×Q8—22no—
1122C2×Q8—22no—
1123C2×Q8—22no—
1124C2×Q8—22no—
1125C2×Q8—24no—
1126C2×Q8—42no—
1127C2×Q8—41no—
1128C2×Q8—44no—
1129C2×Q8—44no—
1130C2×Q8—41no—
1131C2×Q8—44no—
1132C2×Q8—44no—
1133C2×Q8—44no—
1134C2×Q8—44no—
1135C2×Q8—416no—
1136C2×Q8H(5,𝔽2)14yes—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—28no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—28no—
1151C2×D4—28no—
1152C2×D4—22no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—22no—
1156C2×D4—24no—
1157C2×D4—22no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—416no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—42no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—432no—
1207C2×D4—88no—
1208C2×D4—816no—
1209C2×D4H(5,𝔽2)14yes—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—28no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—28no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—28no—
1235C22×C4—416no—
1236C22×C4—42no—
1237C22×C4—44no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—432no—
1268C22×C4C2×#4114yes—
1269C22×C4C2×#4114yes—
1270C22×C4C2×#4114yes—
1271C22×C4C2×#4114yes—
1272C22×C4C2×#4114yes—
1273C22×C4C2×#4114yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—28no—
1402C42—24no—
1403C42—24no—
1404C42—41no—
1405C42—41no—
1406C42—41no—
1407C42—41no—
1408C42—42no—
1409C42—42no—
1410C42—42no—
1411C42—44no—
1412C42—42no—
1413C42—42no—
1414C42—42no—
1415C42—42no—
1416C42—44no—
1417C42—42no—
1418C42—44no—
1419C42—42no—
1420C23—22no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—24no—
1432C23—24no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—24no—
1438C23—22no—
1439C23—22no—
1440C23—24no—
1441C23—24no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—24no—
1446C23—24no—
1447C23—22no—
1448C23—22no—
1449C23—24no—
1450C23—22no—
1451C23—24no—
1452C23—24no—
1453C23—24no—
1454C23—22no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—48no—
1459C23—48no—
1460C23—48no—
1461C23—84no—
1462C23—88no—
1463C23—84no—
1464C23—84no—
1465C23—84no—
1466C23—84no—
1467C23—88no—
1468C23—164no—
1469C23—164no—
1470C23C22×#4112yes—
1471C23C22×#4112yes—
1472C23C22×#4112yes—
1473C23C2×H(5,𝔽2)14yes—
1474C23C2611yescharacteristic
1475Q8—28no—
1476Q8—48no—
1477Q8—44no—
1478Q8—82no—
1479Q8—88no—
1480Q8—164no—
1481D4—216no—
1482D4—28no—
1483D4—48no—
1484D4—48no—
1485D4—48no—
1486D4—48no—
1487D4—48no—
1488D4—416no—
1489D4—44no—
1490D4—48no—
1491D4—84no—
1492D4—82no—
1493D4—84no—
1494D4—88no—
1495D4—88no—
1496D4—84no—
1497D4—88no—
1498D4—88no—
1499D4—88no—
1500D4—164no—
1501D4—164no—
1502D4—164no—
1503D4—164no—
1504C2×C4—216no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—28no—
1516C2×C4—28no—
1517C2×C4—28no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—48no—
1570C2×C4—48no—
1571C2×C4—48no—
1572C2×C4—416no—
1573C2×C4—48no—
1574C2×C4—48no—
1575C2×C4—48no—
1576C2×C4—84no—
1577C2×C4—88no—
1578C2×C4—84no—
1579C2×C4—84no—
1580C2×C4—84no—
1581C2×C4—88no—
1582C2×C4—164no—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4112yes—
1587C2×C4C2×H(5,𝔽2)14yes—
1588C2×C4C2×H(5,𝔽2)12yes—
1589C2×C4C2×H(5,𝔽2)12yes—
1590C2×C4#58514yes—
1591C22—22no—
1592C22—22no—
1593C22—24no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—28no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—44no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—44no—
1614C22—44no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—44no—
1619C22—42no—
1620C22—44no—
1621C22—44no—
1622C22—44no—
1623C22—42no—
1624C22—44no—
1625C22—44no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—44no—
1630C22—88no—
1631C22—816no—
1632C22—168no—
1633C22C23×#4111yescharacteristic
1634C22C22×H(5,𝔽2)11yescharacteristic
1635C22C22×H(5,𝔽2)11yescharacteristic
1636C22C2×#58512yes—
1637C22H(7,𝔽2)12yes—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—24no—
1642C4—24no—
1643C4—42no—
1644C4—42no—
1645C4—44no—
1646C4—42no—
1647C4—42no—
1648C4—44no—
1649C4—42no—
1650C4—42no—
1651C4—44no—
1652C4—42no—
1653C4—42no—
1654C4—44no—
1655C4—44no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4#349014yes—
1660C2—42no—
1661C2—44no—
1662C2—42no—
1663C2—42no—
1664C2—82no—
1665C2—82no—
1666C2—84no—
1667C2#6268611yescharacteristic
1668C2C2×#349011yescharacteristic
1669C2#6285511yescharacteristic
1670C2#6289612yes—
1671C2#6292312yes—
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. #41046C2semidirect
2. #41030C2semidirect
3. #40917C2semidirect
4. #40912C2semidirect
5. #39439C2semidirect
6. #39419C2semidirect
7. #39071C2semidirect
8. #39045C2semidirect
9. #38250C2semidirect
10. #38200C2semidirect
11. #37782C2semidirect
12. #37748C2semidirect
13. #37501C2semidirect
14. #37480C2semidirect
15. #37437C2semidirect
16. #36818C2semidirect
17. #36816C2semidirect
18. #36735C2semidirect
19. #35438C2semidirect
20. #35408C2semidirect
21. #35250C2semidirect
22. #35195C2semidirect
23. #35149C2semidirect
24. #35053C2semidirect
25. #35044C2semidirect
26. #34715C2semidirect
27. #34246C2semidirect
28. C22⋊C4×#41C2semidirect
29. #34082C2semidirect
31. C2×#542C22semidirect
32. C2×#536C22semidirect
35. C2×#535C22semidirect
36. C2×#532C22semidirect
39. C2×C4×#41C22semidirect
40. C2×C4×#41C22semidirect
41. #2863C22semidirect
42. #2858C22semidirect
43. #2854C22semidirect
44. #2852C22semidirect
45. #2850C22semidirect
46. #2850C22semidirect
47. #2849C22semidirect
51. #2825C22semidirect
52. #2824C22semidirect
53. #2816C22semidirect
54. #2815C22semidirect
55. #2797C22semidirect
56. #2759C22semidirect
57. #2754C22semidirect
58. #2747C22semidirect
59. #2746C22semidirect
60. #2740C22semidirect
61. #2739C22semidirect
62. #2737C22semidirect
63. #2737C22semidirect
64. #2737C22semidirect
65. #2730C22semidirect
66. #2717C22semidirect
67. #2716C22semidirect
68. #2712C22semidirect
69. #2712C22semidirect
70. #2706C22semidirect
71. #2703C22semidirect
72. #2697C22semidirect
73. #2696C22semidirect
74. #2696C22semidirect
75. #2693C22semidirect
76. #2688C22semidirect
77. #2686C22semidirect
78. #2685C22semidirect
79. #2684C22semidirect
80. #2684C22semidirect
81. #2678C22semidirect
82. #2673C22semidirect
83. #2672C22semidirect
84. #2670C22semidirect
85. #2670C22semidirect
86. #2668C22semidirect
87. #2665C22semidirect
88. #2665C22semidirect
90. #2653C22semidirect
91. #2648C22semidirect
92. #2648C22semidirect
93. #2644C22semidirect
94. #2640C22semidirect
95. #2636C22semidirect
96. #2631C22semidirect
97. #2631C22semidirect
98. #2631C22semidirect
99. #2630C22semidirect
100. #2628C22semidirect
101. #2628C22semidirect
102. #2625C22semidirect
104. #2619C22semidirect
109. #2607C22semidirect
110. #2607C22semidirect
111. #2607C22semidirect
112. #2597C22semidirect
113. #2578C22semidirect
114. #2578C22semidirect
115. #2576C22semidirect
116. #2574C22semidirect
117. #2572C22semidirect
118. #2572C22semidirect
119. #2561C22semidirect
120. #2559C22semidirect
121. #2557C22semidirect
122. #2557C22semidirect
123. #2557C22semidirect
124. #2557C22semidirect
125. #2557C22semidirect
126. #2557C22semidirect
127. #2555C22semidirect
128. #2554C22semidirect
129. #2539C22semidirect
130. #2539C22semidirect
131. #2523C22semidirect
132. #2516C22semidirect
133. #2514C22semidirect
134. #2513C22semidirect
135. #2510C22semidirect
136. #2492C22semidirect
137. #2492C22semidirect
138. #2491C22semidirect
139. #2486C22semidirect
140. #2477C22semidirect
141. #2476C22semidirect
142. #2474C22semidirect
143. #2472C22semidirect
144. #2472C22semidirect
145. #2471C22semidirect
146. #2471C22semidirect
147. #2471C22semidirect
148. #2463C22semidirect
149. #2459C22semidirect
150. #2459C22semidirect
151. #2459C22semidirect
152. #2456C22semidirect
153. #2456C22semidirect
154. #2456C22semidirect
155. #2452C22semidirect
156. #2451C22semidirect
157. #2448C22semidirect
158. #2447C22semidirect
159. #2445C22semidirect
160. #2445C22semidirect
161. #2444C22semidirect
162. #2439C22semidirect
163. #2439C22semidirect
164. #2439C22semidirect
165. #2439C22semidirect
166. #2438C22semidirect
170. #2432C22semidirect
174. #2431C22semidirect
175. #2431C22semidirect
176. #2430C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2427C22semidirect
180. #2426C22semidirect
181. #2424C22semidirect
182. #2421C22semidirect
183. #2420C22semidirect
184. #2418C22semidirect
185. #2414C22semidirect
186. #2414C22semidirect
187. #2411C22semidirect
188. #2408C22semidirect
191. #2407C22semidirect
192. #2407C22semidirect
195. #2404C22semidirect
196. #2404C22semidirect
199. #2392C22semidirect
200. #2388C22semidirect
201. #2364C22semidirect
204. #2345C22semidirect
206. Q8×C22⋊C4C22semidirect
208. #2339C22semidirect
211. D4×C22⋊C4C22semidirect
212. D4×C22⋊C4C22semidirect
213. #2337C22semidirect
214. #2335C22semidirect
215. #2335C22semidirect
218. #2333C22semidirect
219. #2333C22semidirect
220. #2333C22semidirect
221. #2332C22semidirect
222. #2332C22semidirect
223. #2329C22semidirect
224. #2328C22semidirect
225. #2325C22semidirect
226. #2324C22semidirect
229. #2320C22semidirect
230. #2312C22semidirect
233. #2310C22semidirect
234. #2309C22semidirect
235. C4×#124C22semidirect
236. C4×C22⋊Q8C22semidirect
237. C4×#123C22semidirect
238. C4×#121C22semidirect
239. C4×#121C22semidirect
240. #2298C22semidirect
243. #2297C22semidirect
244. #2297C22semidirect
245. #2297C22semidirect
246. #2297C22semidirect
247. #2293C22semidirect
248. #2293C22semidirect
249. #2290C22semidirect
250. #2290C22semidirect
254. #2280C22semidirect
255. #2273C22semidirect
256. C42×D4C22semidirect
258. C2×C4×C22⋊C4C22semidirect
801. C23×C4#41semidirect

Maximal subgroups

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

subgroupindex
#410462
#410302
#409172
#409122
#394392
#394192
#390712
#390452
#382502
#382002
#377822
#377482
#375012
#374802
#374372
#368182
#368162
#367352
#354382
#354082
#352502
#351952
#351492
#350532
#350442
#347152
#342462
C22⋊C4×#412
#340822