Finite Group Databasebeta

← #7657333

Subgroups — #7657333

Order 512.

5862 conjugacy classes of subgroups.

The subgroup lattice has 1645 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41059C214yesmaximal, complemented
2#41038C214yesmaximal, complemented
3#40929C214yesmaximal, complemented
4#40912C214yesmaximal, complemented
5#40657C212yesmaximal, complemented
6#40650C212yesmaximal, complemented
7#40549C214yesmaximal, complemented
8#39562C212yesmaximal, complemented
9#39438C212yesmaximal, complemented
10#37974C212yesmaximal, complemented
11#37858C212yesmaximal, complemented
12#37782C212yesmaximal, complemented
13#37669C212yesmaximal, complemented
14#37516C212yesmaximal, complemented
15#37513C212yesmaximal, complemented
16#37480C211yesmaximal, characteristic, complemented
17#37448C211yesmaximal, characteristic, complemented
18#36203C212yesmaximal, complemented
19#36147C212yesmaximal, complemented
20#35944C212yesmaximal, complemented
21#35924C212yesmaximal, complemented
22#35684C214yesmaximal, complemented
23#35258C212yesmaximal, complemented
24#35250C211yesmaximal, characteristic, complemented
25#34632C211yesmaximal, characteristic, complemented
26#34609C212yesmaximal, complemented
27#34246C211yesmaximal, characteristic, complemented
28#34223C211yesmaximal, characteristic, complemented
29C22⋊C4×#41C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C2×#542C2212yescomplemented
32C2×#535C2212yes—
33C2×#532C2212yescomplemented
34C2×#525C2211yescharacteristic
35C2×#525C2212yescomplemented
36C22×#121C2211yescharacteristic
37C2×C4×#41C2212yescomplemented
38#2857C2212yescomplemented
39#2855C2212yescomplemented
40#2854C2212yescomplemented
41#2850C2212yescomplemented
42#2847C2212yes—
43#2847C2212yes—
44#2842C2212yes—
45#2840C2212yes—
46#2832C2214yescomplemented
47#2828C2214yescomplemented
48#2826C2214yescomplemented
49#2824C2214yescomplemented
50#2813C2214yes—
51#2798C2214yescomplemented
52#2758C2214yescomplemented
53#2751C2214yescomplemented
54#2743C2214yescomplemented
55#2743C2214yescomplemented
56#2737C2214yescomplemented
57#2737C2214yescomplemented
58#2730C2214yescomplemented
59#2712C2214yescomplemented
60#2709C2214yescomplemented
61#2705C2214yescomplemented
62#2705C2214yescomplemented
63#2700C2214yescomplemented
64#2696C2214yescomplemented
65#2696C2214yescomplemented
66#2685C2214yescomplemented
67#2685C2214yescomplemented
68#2684C2214yescomplemented
69#2684C2214yescomplemented
70#2678C2214yescomplemented
71#2678C2214yescomplemented
72#2673C2214yescomplemented
73#2670C2214yescomplemented
74#2670C2214yescomplemented
75#2665C2214yescomplemented
76#2665C2214yescomplemented
77#2665C2212yescomplemented
78#2665C2212yescomplemented
79#2662C2214yescomplemented
80#2650C2214yescomplemented
81#2648C2214yescomplemented
82#2635C2214yescomplemented
83#2635C2214yescomplemented
84#2635C2214yescomplemented
85#2635C2214yescomplemented
86#2635C2214yescomplemented
87#2632C2214yescomplemented
88#2631C2214yescomplemented
89#2631C2214yescomplemented
90#2631C2214yescomplemented
91#2628C2212yescomplemented
92#2628C2212yescomplemented
93#2628C2212yescomplemented
94#2624C2212yescomplemented
95#2624C2212yescomplemented
96#2620C2212yescomplemented
97#2619C2212yescomplemented
98#2619C2212yescomplemented
99#2616C2212yes—
100#2616C2211yescharacteristic, complemented
101#2616C2211yescharacteristic, complemented
102#2615C2212yes—
103#2615C2212yes—
104#2615C2212yes—
105#2615C2211yescharacteristic, complemented
106#2615C2211yescharacteristic, complemented
107#2614C2212yescomplemented
108#2613C2214yes—
109#2613C2212yes—
110#2613C2212yes—
111#2613C2212yescomplemented
112#2607C2214yescomplemented
113#2607C2214yescomplemented
114#2605C2214yescomplemented
115#2578C2214yescomplemented
116#2572C2214yescomplemented
117#2572C2214yescomplemented
118#2572C2214yescomplemented
119#2572C2214yescomplemented
120#2557C2214yescomplemented
121#2557C2214yescomplemented
122#2555C2214yescomplemented
123#2544C2214yescomplemented
124#2534C2214yescomplemented
125#2534C2212yescomplemented
126#2534C2212yescomplemented
127#2534C2214yescomplemented
128#2526C2214yescomplemented
129#2526C2214yescomplemented
130#2521C2214yescomplemented
131#2521C2214yescomplemented
132#2518C2214yescomplemented
133#2516C2214yescomplemented
134#2516C2214yescomplemented
135#2503C2211yescharacteristic, complemented
136#2501C2211yescharacteristic, complemented
137#2500C2212yes—
138#2497C2212yescomplemented
139#2496C2212yescomplemented
140#2495C2212yescomplemented
141#2495C2212yescomplemented
142#2492C2212yescomplemented
143#2491C2212yescomplemented
144#2491C2212yescomplemented
145#2491C2212yescomplemented
146#2488C2214yescomplemented
147#2472C2214yescomplemented
148#2472C2214yescomplemented
149#2469C2214yescomplemented
150#2467C2214yescomplemented
151#2467C2214yescomplemented
152#2467C2214yescomplemented
153#2467C2214yescomplemented
154#2465C2214yescomplemented
155#2463C2214yescomplemented
156#2461C2214yescomplemented
157#2459C2214yescomplemented
158#2459C2214yescomplemented
159#2459C2214yescomplemented
160#2459C2214yescomplemented
161#2459C2214yescomplemented
162#2457C2214yescomplemented
163#2457C2214yescomplemented
164#2457C2214yescomplemented
165#2457C2214yescomplemented
166#2455C2214yescomplemented
167#2444C2214yescomplemented
168#2439C2212yescomplemented
169#2439C2212yescomplemented
170#2439C2212yescomplemented
171#2439C2212yescomplemented
172#2436C2212yes—
173#2435C2211yescharacteristic, complemented
174#2433C2212yes—
175#2433C2211yescharacteristic, complemented
176#2431C2212yes—
177#2431C2214yes—
178#2431C2214yescomplemented
179#2428C2212yescomplemented
180#2428C2212yescomplemented
181#2427C2212yescomplemented
182#2427C2214yescomplemented
183#2426C2212yescomplemented
184#2424C2214yescomplemented
185#2424C2214yescomplemented
186#2421C2212yescomplemented
187#2420C2212yescomplemented
188#2420C2212yescomplemented
189#2420C2212yescomplemented
190#2404C2212yes—
191#2404C2212yes—
192#2404C2214yescomplemented
193#2404C2214yescomplemented
194#2403C2214yes—
195#2398C2214yescomplemented
196#2397C2214yescomplemented
197#2388C2212yes—
198#2388C2212yes—
199#2388C2214yescomplemented
200#2388C2214yescomplemented
201#2388C2214yescomplemented
202#2374C2214yescomplemented
203#2372C2214yescomplemented
204#2364C2214yescomplemented
205#2364C2212yescomplemented
206#2364C2212yescomplemented
207#2363C2212yes—
208#2363C2212yes—
209#2363C2212yescomplemented
210#2362C2212yescomplemented
211#2357C2212yescomplemented
212#2353C2214yescomplemented
213#2353C2212yescomplemented
214#2347C2211yescharacteristic, complemented
215#2346C2211yescharacteristic, complemented
216#2345C2212yescomplemented
217#2341C2211yescharacteristic
218#2341C2211yescharacteristic
219#2341C2211yescharacteristic, complemented
220Q8×C22⋊C4C2212yescomplemented
221#2339C2211yescharacteristic
222#2339C2211yescharacteristic
223#2339C2211yescharacteristic, complemented
224#2339C2214yescomplemented
225#2339C2212yescomplemented
226#2339C2212yescomplemented
227D4×C22⋊C4C2212yes—
228D4×C22⋊C4C2212yes—
229D4×C22⋊C4C2214yes—
230D4×C22⋊C4C2212yescomplemented
231D4×C22⋊C4C2212yescomplemented
232#2333C2214yes—
233#2324C2212yescomplemented
234#2323C2212yescomplemented
235#2321C2214yes—
236#2318C2212yescomplemented
237#2314C2212yescomplemented
238#2312C2212yescomplemented
239#2311C2212yes—
240C4×C22⋊Q8C2212yescomplemented
241C4×#121C2212yescomplemented
242C4×#121C2212yescomplemented
243C4×#121C2212yescomplemented
244C4×#121C2212yescomplemented
245C4×#121C2212yescomplemented
246#2297C2212yes—
247#2297C2212yes—
248#2297C2212yescomplemented
249#2283C2212yescomplemented
250#2280C2211yescharacteristic
251#2280C2211yescharacteristic
252#2280C2211yescharacteristic
253#2280C2212yescomplemented
254#2280C2212yescomplemented
255#2275C2212yescomplemented
256#2273C2212yescomplemented
257C2×C4×C22⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2212yescomplemented
259C22×#41—28no—
260C22×#41—48no—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2312yes—
265C22×#41C2311yescharacteristic
266C22×#41C2311yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2314yes—
269C23×Q8C2311yescharacteristic
270C23×D4C2312yes—
271C23×D4C2311yescharacteristic
272C23×D4C2311yescharacteristic
273C23×D4C2312yes—
274C24×C4C2312yes—
275C24×C4C2311yescharacteristic
276#542—48no—
277#535—48no—
278#532—48no—
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2312yes—
281C2×#127C2312yes—
282C2×#127C2314yes—
283C2×#126C2314yes—
284C2×#126C2314yes—
285C2×#124C2312yes—
286C2×#124C2314yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#124C2314yes—
292#525—28no—
293#525—48no—
294C2×#123C2312yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2312yes—
299C2×#123C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2314yes—
306C2×#121—28no—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2311yescharacteristic
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2311yescharacteristic
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#120C2312yes—
323C2×#120C2314yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327C2×#120C2314yes—
328C2×#120C2312yes—
329C2×#120C2312yes—
330C4×#41—48no—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C22×C4⋊C4C2311yescharacteristic
360C22×C22⋊C4C2312yes—
361C22×C22⋊C4C2312yes—
362C22×C22⋊C4C2312yes—
363C22×C22⋊C4C2314yes—
364C22×C22⋊C4C2312yes—
365C22×C42C2312yes—
366C22×C42C2312yes—
367C22×C42C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#399C2314yes—
379#399C2314yes—
380#399C2314yes—
381#399C2314yes—
382#399C2314yes—
383#399C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#396C2314yes—
395#396C2314yes—
396#396C2314yes—
397#396C2314yes—
398#396C2314yes—
399#396C2314yes—
400#396C2314yes—
401#396C2314yes—
402#395C2314yes—
403#395C2314yes—
404#395C2314yes—
405#395C2312yes—
406#395C2312yes—
407#395C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
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#394C2312yes—
431#394C2312yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#393C2314yes—
439#393C2314yes—
440#393C2314yes—
441#393C2312yes—
442#393C2314yes—
443#393C2314yes—
444#393C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2312yes—
453#393C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2312yes—
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#392C2312yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#390C2314yes—
492#390C2312yes—
493#390C2314yes—
494#390C2314yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#389C2312yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2312yes—
571#386C2314yes—
572#386C2312yes—
573#386C2312yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2312yes—
592#386C2312yes—
593#386C2312yes—
594#386C2312yes—
595#386C2312yes—
596#386C2314yes—
597#386C2312yes—
598#386C2312yes—
599#386C2312yes—
600#386C2312yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#384C2312yes—
615#383C2314yes—
616#383C2314yes—
617#383C2312yes—
618#383C2314yes—
619#382C2312yes—
620#382C2312yes—
621#382C2312yes—
622#382C2312yes—
623#381C2312yes—
624#381C2312yes—
625#381C2314yes—
626#381C2314yes—
627#381C2314yes—
628#381C2314yes—
629#381C2314yes—
630#381C2312yes—
631#381C2312yes—
632#381C2312yes—
633#381C2312yes—
634#381C2312yes—
635#381C2312yes—
636#381C2314yes—
637#380C2312yes—
638#380C2312yes—
639#380C2312yes—
640#380C2312yes—
641#380C2314yes—
642#380C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2311yescharacteristic
646#380C2311yescharacteristic
647#380C2312yes—
648#380C2312yes—
649#380C2312yes—
650#380C2312yes—
651#380C2311yescharacteristic
652#380C2311yescharacteristic
653#380C2312yes—
654#380C2314yes—
655#380C2314yes—
656#380C2312yes—
657#380C2312yes—
658#380C2312yes—
659#380C2312yes—
660#380C2311yescharacteristic
661#380C2311yescharacteristic
662#379C2314yes—
663#379C2312yes—
664#379C2311yescharacteristic
665#379C2312yes—
666#379C2311yescharacteristic
667#379C2312yes—
668#379C2312yes—
669#379C2314yes—
670#379C2312yes—
671#379C2312yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2314yes—
679C4×C22⋊C4C2311yescharacteristic
680C4×C22⋊C4C2312yes—
681C4×C22⋊C4C2312yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2311yescharacteristic
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2311yescharacteristic
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2311yescharacteristic
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2311yescharacteristic
713C4×C22⋊C4C2311yescharacteristic
714#376C2312yes—
715#376C2314yes—
716C2×#95C2311yescharacteristic
717C2×#95C2312yes—
718C2×#95C2312yes—
719C2×#95C2312yes—
720C2×#95C2311yescharacteristic
721C25C2412yes—
722C25C2412yes—
723C25C2411yescharacteristic
724C2×#41—24no—
725C2×#41—28no—
726C2×#41—24no—
727C2×#41—24no—
728C2×#41—24no—
729C2×#41—28no—
730C2×#41—24no—
731C2×#41—28no—
732C2×#41—28no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—48no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—48no—
739C2×#41—44no—
740C2×#41—44no—
741C2×#41—44no—
742C2×#41—464no—
743C2×#41—84no—
744C22×Q8—24no—
745C22×Q8—44no—
746C22×Q8C2411yescharacteristic
747C22×Q8C2411yescharacteristic
748C22×Q8C2412yes—
749C22×Q8C2411yescharacteristic
750C22×Q8C2414yes—
751C22×Q8C2414yes—
752C22×D4—28no—
753C22×D4—28no—
754C22×D4—24no—
755C22×D4—24no—
756C22×D4—44no—
757C22×D4—44no—
758C22×D4—44no—
759C22×D4—44no—
760C22×D4—82no—
761C22×D4—82no—
762C22×D4C2411yescharacteristic
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2411yescharacteristic
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2411yescharacteristic
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C23×C4—28no—
786C23×C4—28no—
787C23×C4—44no—
788C23×C4—44no—
789C23×C4#4118yescomplemented
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2411yescharacteristic
796C23×C4C2411yescharacteristic
797C23×C4C2411yescharacteristic
798C23×C4C2412yes—
799C23×C4C2412yes—
800C23×C4C2412yes—
801C23×C4C2412yes—
802C23×C4C2414yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2414yes—
806C23×C4C2412yes—
807C23×C4C2414yes—
808C23×C4C2412yes—
809C23×C4C2411yescharacteristic
810C23×C4C2411yescharacteristic
811C23×C4C2411yescharacteristic
812C4⋊Q8—44no—
813C4⋊Q8—44no—
814#127—44no—
815#127—48no—
816#126—48no—
817#126—84no—
818#124—48no—
819#124—48no—
820#124—44no—
821#124—48no—
822#124—48no—
823#124—84no—
824#124—84no—
825#123—28no—
826#123—48no—
827#123—48no—
828#123—82no—
829#123—84no—
830#123—82no—
831C22⋊Q8—24no—
832C22⋊Q8—24no—
833C22⋊Q8—28no—
834C22⋊Q8—48no—
835C22⋊Q8—44no—
836C22⋊Q8—84no—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—28no—
841#121—24no—
842#121—24no—
843#121—28no—
844#121—28no—
845#121—28no—
846#121—48no—
847#121—44no—
848#121—44no—
849#121—44no—
850#121—48no—
851#121—84no—
852#120—28no—
853#120—48no—
854#120—48no—
855#120—48no—
856#120—84no—
857#120—84no—
858#120—82no—
859#120—82no—
860C4×Q8—44no—
861C4×Q8—44no—
862C4×Q8—44no—
863C4×D4—28no—
864C4×D4—28no—
865C4×D4—48no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—44no—
871C4×D4—48no—
872C4×D4—48no—
873C4×D4—48no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—48no—
879C4×D4—84no—
880C4×D4—84no—
881C4×D4—84no—
882#117—24no—
883#117—28no—
884#117—44no—
885#117—44no—
886#117—44no—
887#117—44no—
888C2×C4⋊C4—24no—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C22⋊C4—28no—
921C2×C22⋊C4—44no—
922C2×C22⋊C4—44no—
923C2×C22⋊C4—48no—
924C2×C22⋊C4—44no—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C42—28no—
998C2×C42—44no—
999C2×C42—44no—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018#95C2411yescharacteristic
1019#95C2411yescharacteristic
1020#95C2411yescharacteristic
1021#95C2411yescharacteristic
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072C24—24no—
1073C24—24no—
1074C24—24no—
1075C24—42no—
1076C24—42no—
1077C24—42no—
1078C24—42no—
1079C24—42no—
1080C24—41no—
1081C24—41no—
1082C24—44no—
1083C24—42no—
1084C24—42no—
1085C24—44no—
1086C24—42no—
1087C24—42no—
1088C24C2×#4114yes—
1089C24C2514yes—
1090C24C2512yes—
1091C24C2512yes—
1092C24C2511yescharacteristic
1093C24C2511yescharacteristic
1094C24C2511yescharacteristic
1095C24C2512yes—
1096#41—232no—
1097#41—432no—
1098#41—416no—
1099#41—432no—
1100#41—416no—
1101#41—416no—
1102#41—88no—
1103#41—832no—
1104C2×Q8—22no—
1105C2×Q8—22no—
1106C2×Q8—24no—
1107C2×Q8—22no—
1108C2×Q8—24no—
1109C2×Q8—24no—
1110C2×Q8—24no—
1111C2×Q8—42no—
1112C2×Q8—42no—
1113C2×Q8—44no—
1114C2×Q8—44no—
1115C2×Q8—44no—
1116C2×Q8—44no—
1117C2×Q8—44no—
1118C2×Q8—44no—
1119C2×Q8—416no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—28no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—28no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—28no—
1136C2×D4—22no—
1137C2×D4—24no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—416no—
1184C2×D4—432no—
1185C2×D4—88no—
1186C2×D4—816no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—28no—
1209C22×C4—28no—
1210C22×C4—416no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—432no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4C2×#4114yes—
1242C22×C4C2×#4114yes—
1243C22×C4C2×#4114yes—
1244C22×C4C2×#4114yes—
1245C22×C4C2×#4114yes—
1246C22×C4C2×#4114yes—
1247C22×C4H(5,𝔽2)18yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2514yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2514yes—
1256C22×C4C2512yes—
1257C22×C4C2514yes—
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—28no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—24no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—41no—
1352C22⋊C4—42no—
1353C22⋊C4—41no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—24no—
1379C42—24no—
1380C42—28no—
1381C42—42no—
1382C42—42no—
1383C42—42no—
1384C42—42no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—21no—
1403C23—21no—
1404C23—22no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—22no—
1410C23—24no—
1411C23—22no—
1412C23—24no—
1413C23—24no—
1414C23—24no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—24no—
1419C23—22no—
1420C23—24no—
1421C23—24no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—24no—
1427C23—24no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—48no—
1432C23—48no—
1433C23—48no—
1434C23—84no—
1435C23—84no—
1436C23—84no—
1437C23—84no—
1438C23—84no—
1439C23—84no—
1440C23—84no—
1441C23—84no—
1442C23—84no—
1443C23—164no—
1444C23—164no—
1445C23C22×#4112yes—
1446C23C22×#4112yes—
1447C23C22×#4112yes—
1448C23C2×H(5,𝔽2)14yes—
1449C23C2611yescharacteristic
1450Q8—28no—
1451Q8—48no—
1452Q8—44no—
1453Q8—44no—
1454Q8—88no—
1455Q8—164no—
1456D4—28no—
1457D4—216no—
1458D4—48no—
1459D4—48no—
1460D4—44no—
1461D4—48no—
1462D4—48no—
1463D4—48no—
1464D4—416no—
1465D4—416no—
1466D4—48no—
1467D4—44no—
1468D4—84no—
1469D4—84no—
1470D4—88no—
1471D4—88no—
1472D4—84no—
1473D4—88no—
1474D4—88no—
1475D4—88no—
1476D4—88no—
1477D4—164no—
1478D4—164no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—28no—
1487C2×C4—28no—
1488C2×C4—28no—
1489C2×C4—216no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—48no—
1540C2×C4—48no—
1541C2×C4—48no—
1542C2×C4—48no—
1543C2×C4—48no—
1544C2×C4—84no—
1545C2×C4—84no—
1546C2×C4—84no—
1547C2×C4—88no—
1548C2×C4—88no—
1549C2×C4—84no—
1550C2×C4—84no—
1551C2×C4—84no—
1552C2×C4—84no—
1553C2×C4—164no—
1554C2×C4C22×#4112yes—
1555C2×C4C22×#4112yes—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4112yes—
1558C2×C4C2×H(5,𝔽2)14yes—
1559C2×C4C2×H(5,𝔽2)14yes—
1560C2×C4#58514yes—
1561C22—22no—
1562C22—22no—
1563C22—24no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—24no—
1569C22—24no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—44no—
1586C22—44no—
1587C22—42no—
1588C22—42no—
1589C22—44no—
1590C22—44no—
1591C22—42no—
1592C22—44no—
1593C22—42no—
1594C22—44no—
1595C22—44no—
1596C22—42no—
1597C22—44no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—44no—
1602C22—88no—
1603C22—816no—
1604C22—168no—
1605C22C23×#4111yescharacteristic
1606C22C22×H(5,𝔽2)12yes—
1607C22C2×#58512yes—
1608C22H(7,𝔽2)11yescharacteristic
1609C22H(7,𝔽2)11yescharacteristic
1610C4—22no—
1611C4—22no—
1612C4—22no—
1613C4—24no—
1614C4—24no—
1615C4—42no—
1616C4—42no—
1617C4—44no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—44no—
1623C4—44no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—42no—
1628C4—44no—
1629C4—44no—
1630C4—42no—
1631C4#349014yes—
1632C2—42no—
1633C2—44no—
1634C2—42no—
1635C2—42no—
1636C2—82no—
1637C2—82no—
1638C2—84no—
1639C2#6268611yescharacteristic
1640C2C2×#349011yescharacteristic
1641C2#6285511yescharacteristic
1642C2#6292412yes—
1643C2#6293012yes—
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. #41059C2semidirect
2. #41038C2semidirect
3. #40929C2semidirect
4. #40912C2semidirect
5. #40657C2semidirect
6. #40650C2semidirect
7. #40549C2semidirect
8. #39562C2semidirect
9. #39438C2semidirect
10. #37974C2semidirect
11. #37858C2semidirect
12. #37782C2semidirect
13. #37669C2semidirect
14. #37516C2semidirect
15. #37513C2semidirect
16. #37480C2semidirect
17. #37448C2semidirect
18. #36203C2semidirect
19. #36147C2semidirect
20. #35944C2semidirect
21. #35924C2semidirect
22. #35684C2semidirect
23. #35258C2semidirect
24. #35250C2semidirect
25. #34632C2semidirect
26. #34609C2semidirect
27. #34246C2semidirect
28. #34223C2semidirect
29. C22⋊C4×#41C2semidirect
31. C2×#542C22semidirect
33. C2×#532C22semidirect
35. C2×#525C22semidirect
37. C2×C4×#41C22semidirect
38. #2857C22semidirect
39. #2855C22semidirect
40. #2854C22semidirect
41. #2850C22semidirect
46. #2832C22semidirect
47. #2828C22semidirect
48. #2826C22semidirect
49. #2824C22semidirect
51. #2798C22semidirect
52. #2758C22semidirect
53. #2751C22semidirect
54. #2743C22semidirect
55. #2743C22semidirect
56. #2737C22semidirect
57. #2737C22semidirect
58. #2730C22semidirect
59. #2712C22semidirect
60. #2709C22semidirect
61. #2705C22semidirect
62. #2705C22semidirect
63. #2700C22semidirect
64. #2696C22semidirect
65. #2696C22semidirect
66. #2685C22semidirect
67. #2685C22semidirect
68. #2684C22semidirect
69. #2684C22semidirect
70. #2678C22semidirect
71. #2678C22semidirect
72. #2673C22semidirect
73. #2670C22semidirect
74. #2670C22semidirect
75. #2665C22semidirect
76. #2665C22semidirect
77. #2665C22semidirect
78. #2665C22semidirect
79. #2662C22semidirect
80. #2650C22semidirect
81. #2648C22semidirect
82. #2635C22semidirect
83. #2635C22semidirect
84. #2635C22semidirect
85. #2635C22semidirect
86. #2635C22semidirect
87. #2632C22semidirect
88. #2631C22semidirect
89. #2631C22semidirect
90. #2631C22semidirect
91. #2628C22semidirect
92. #2628C22semidirect
93. #2628C22semidirect
94. #2624C22semidirect
95. #2624C22semidirect
96. #2620C22semidirect
97. #2619C22semidirect
98. #2619C22semidirect
100. #2616C22semidirect
101. #2616C22semidirect
105. #2615C22semidirect
106. #2615C22semidirect
107. #2614C22semidirect
111. #2613C22semidirect
112. #2607C22semidirect
113. #2607C22semidirect
114. #2605C22semidirect
115. #2578C22semidirect
116. #2572C22semidirect
117. #2572C22semidirect
118. #2572C22semidirect
119. #2572C22semidirect
120. #2557C22semidirect
121. #2557C22semidirect
122. #2555C22semidirect
123. #2544C22semidirect
124. #2534C22semidirect
125. #2534C22semidirect
126. #2534C22semidirect
127. #2534C22semidirect
128. #2526C22semidirect
129. #2526C22semidirect
130. #2521C22semidirect
131. #2521C22semidirect
132. #2518C22semidirect
133. #2516C22semidirect
134. #2516C22semidirect
135. #2503C22semidirect
136. #2501C22semidirect
138. #2497C22semidirect
139. #2496C22semidirect
140. #2495C22semidirect
141. #2495C22semidirect
142. #2492C22semidirect
143. #2491C22semidirect
144. #2491C22semidirect
145. #2491C22semidirect
146. #2488C22semidirect
147. #2472C22semidirect
148. #2472C22semidirect
149. #2469C22semidirect
150. #2467C22semidirect
151. #2467C22semidirect
152. #2467C22semidirect
153. #2467C22semidirect
154. #2465C22semidirect
155. #2463C22semidirect
156. #2461C22semidirect
157. #2459C22semidirect
158. #2459C22semidirect
159. #2459C22semidirect
160. #2459C22semidirect
161. #2459C22semidirect
162. #2457C22semidirect
163. #2457C22semidirect
164. #2457C22semidirect
165. #2457C22semidirect
166. #2455C22semidirect
167. #2444C22semidirect
168. #2439C22semidirect
169. #2439C22semidirect
170. #2439C22semidirect
171. #2439C22semidirect
173. #2435C22semidirect
175. #2433C22semidirect
178. #2431C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2427C22semidirect
182. #2427C22semidirect
183. #2426C22semidirect
184. #2424C22semidirect
185. #2424C22semidirect
186. #2421C22semidirect
187. #2420C22semidirect
188. #2420C22semidirect
189. #2420C22semidirect
192. #2404C22semidirect
193. #2404C22semidirect
195. #2398C22semidirect
196. #2397C22semidirect
199. #2388C22semidirect
200. #2388C22semidirect
201. #2388C22semidirect
202. #2374C22semidirect
203. #2372C22semidirect
204. #2364C22semidirect
205. #2364C22semidirect
206. #2364C22semidirect
209. #2363C22semidirect
210. #2362C22semidirect
211. #2357C22semidirect
212. #2353C22semidirect
213. #2353C22semidirect
214. #2347C22semidirect
215. #2346C22semidirect
216. #2345C22semidirect
219. #2341C22semidirect
220. Q8×C22⋊C4C22semidirect
223. #2339C22semidirect
224. #2339C22semidirect
225. #2339C22semidirect
226. #2339C22semidirect
230. D4×C22⋊C4C22semidirect
231. D4×C22⋊C4C22semidirect
233. #2324C22semidirect
234. #2323C22semidirect
236. #2318C22semidirect
237. #2314C22semidirect
238. #2312C22semidirect
240. C4×C22⋊Q8C22semidirect
241. C4×#121C22semidirect
242. C4×#121C22semidirect
243. C4×#121C22semidirect
244. C4×#121C22semidirect
245. C4×#121C22semidirect
248. #2297C22semidirect
249. #2283C22semidirect
253. #2280C22semidirect
254. #2280C22semidirect
255. #2275C22semidirect
256. #2273C22semidirect
258. C2×C4×C22⋊C4C22semidirect
789. C23×C4#41semidirect

Maximal subgroups

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

subgroupindex
#410592
#410382
#409292
#409122
#406572
#406502
#405492
#395622
#394382
#379742
#378582
#377822
#376692
#375162
#375132
#374802
#374482
#362032
#361472
#359442
#359242
#356842
#352582
#352502
#346322
#346092
#342462
#342232
C22⋊C4×#412