Finite Group Databasebeta

← #7650726

Subgroups — #7650726

Order 512.

4822 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#42758C212yesmaximal, complemented
2#42722C212yesmaximal, complemented
3#42720C212yesmaximal, complemented
4#42640C212yesmaximal, complemented
5#42637C212yesmaximal, complemented
6#42625C212yesmaximal, complemented
7#42564C212yesmaximal, complemented
8#42537C212yesmaximal, complemented
9#41392C214yesmaximal, complemented
10#40566C214yesmaximal, complemented
11#40192C212yesmaximal, complemented
12#40171C212yesmaximal, complemented
13#40106C212yesmaximal, complemented
14#40058C212yesmaximal, complemented
15#39240C212yesmaximal, complemented
16#39236C212yesmaximal, complemented
17#39026C212yesmaximal, complemented
18#39022C212yesmaximal, complemented
19#38391C214yesmaximal, complemented
20#37852C214yesmaximal, complemented
21#35649C211yesmaximal, characteristic, complemented
22#35629C211yesmaximal, characteristic, complemented
23#35575C211yesmaximal, characteristic, complemented
24#35566C211yesmaximal, characteristic, complemented
25#35542C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35334C211yesmaximal, characteristic, complemented
28#35267C211yesmaximal, characteristic, complemented
29#35223C211yesmaximal, characteristic
30#34813C211yesmaximal, characteristic, complemented
31#34742C211yesmaximal, characteristic, complemented
32C2×#2442C211yesmaximal, characteristic, complemented
33#34267C211yesmaximal, characteristic, complemented
34#34217C211yesmaximal, characteristic, complemented
35#34178C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C23×C4⋊C4C2211yescharacteristic
45#2863C2212yescomplemented
46#2860C2212yescomplemented
47#2851C2212yescomplemented
48#2851C2212yescomplemented
49#2847C2214yes—
50#2839C2214yescomplemented
51#2838C2214yescomplemented
52#2838C2214yescomplemented
53#2830C2214yescomplemented
54#2796C2214yescomplemented
55#2796C2214yescomplemented
56#2793C2214yescomplemented
57#2790C2214yescomplemented
58#2777C2214yescomplemented
59#2772C2214yescomplemented
60#2767C2214yescomplemented
61#2767C2214yescomplemented
62#2765C2214yescomplemented
63#2762C2214yescomplemented
64#2762C2214yescomplemented
65#2751C2214yescomplemented
66#2751C2214yescomplemented
67#2747C2214yes—
68#2746C2214yes—
69#2746C2214yes—
70#2745C2214yes—
71#2742C2214yes—
72#2741C2214yes—
73#2741C2214yes—
74#2739C2214yescomplemented
75#2738C2214yes—
76#2737C2214yes—
77#2737C2214yes—
78#2729C2214yescomplemented
79#2717C2214yes—
80#2717C2214yes—
81#2716C2214yescomplemented
82#2701C2214yes—
83#2691C2214yes—
84#2686C2214yes—
85#2672C2214yes—
86#2666C2214yescomplemented
87#2655C2214yescomplemented
88#2653C2214yes—
89#2652C2214yescomplemented
90#2652C2214yescomplemented
91#2651C2214yescomplemented
92#2650C2214yescomplemented
93#2650C2214yescomplemented
94#2649C2214yes—
95#2645C2212yescomplemented
96#2644C2212yescomplemented
97#2638C2214yescomplemented
98#2628C2214yes—
99#2628C2212yescomplemented
100#2628C2212yescomplemented
101#2624C2214yes—
102#2618C2214yes—
103#2591C2214yes—
104#2584C2212yescomplemented
105#2584C2212yescomplemented
106#2581C2212yescomplemented
107#2581C2212yescomplemented
108#2580C2212yescomplemented
109#2580C2212yescomplemented
110#2567C2212yescomplemented
111#2564C2214yes—
112#2564C2214yes—
113#2564C2214yes—
114#2563C2212yes—
115#2562C2212yes—
116#2562C2212yes—
117#2552C2212yescomplemented
118#2551C2212yescomplemented
119#2550C2212yescomplemented
120#2550C2212yescomplemented
121#2549C2214yes—
122#2547C2212yes—
123#2546C2212yescomplemented
124#2520C2214yescomplemented
125#2515C2214yescomplemented
126#2515C2214yescomplemented
127#2514C2212yescomplemented
128#2514C2212yescomplemented
129#2513C2212yescomplemented
130#2513C2212yescomplemented
131#2510C2214yes—
132#2510C2214yes—
133#2510C2214yes—
134#2504C2214yes—
135#2497C2212yescomplemented
136#2496C2212yescomplemented
137#2495C2214yes—
138#2495C2212yescomplemented
139#2495C2212yescomplemented
140#2495C2212yescomplemented
141#2494C2214yes—
142#2494C2212yescomplemented
143#2494C2212yescomplemented
144#2494C2212yescomplemented
145#2492C2212yes—
146#2492C2211yescharacteristic
147#2492C2211yescharacteristic
148#2491C2211yescharacteristic
149#2491C2214yes—
150#2491C2212yes—
151#2491C2211yescharacteristic
152#2490C2211yescharacteristic
153#2490C2212yes—
154#2490C2211yescharacteristic
155#2490C2212yescomplemented
156#2490C2212yescomplemented
157#2490C2212yescomplemented
158#2490C2212yescomplemented
159#2489C2211yescharacteristic
160#2489C2211yescharacteristic
161#2489C2212yes—
162#2489C2212yescomplemented
163#2489C2212yescomplemented
164#2489C2212yescomplemented
165#2489C2212yescomplemented
166#2488C2212yes—
167#2488C2214yes—
168#2488C2212yes—
169#2487C2212yes—
170#2486C2212yes—
171#2485C2212yes—
172#2485C2212yes—
173#2481C2214yes—
174#2479C2214yes—
175#2477C2214yes—
176#2474C2214yes—
177#2472C2214yes—
178#2472C2212yes—
179#2472C2212yes—
180#2470C2214yes—
181#2468C2214yescomplemented
182#2454C2212yescomplemented
183#2453C2212yescomplemented
184#2452C2212yescomplemented
185#2451C2212yescomplemented
186#2442C2212yes—
187#2442C2212yes—
188#2442C2212yes—
189#2442C2212yes—
190#2442C2212yes—
191#2442C2212yes—
192#2442C2212yes—
193#2442C2212yes—
194#2442C2212yescomplemented
195#2441C2212yescomplemented
196#2440C2214yes—
197#2440C2212yescomplemented
198#2439C2212yescomplemented
199#2423C2212yes—
200#2423C2211yescharacteristic
201#2423C2211yescharacteristic
202#2422C2212yes—
203#2422C2211yescharacteristic
204#2422C2214yes—
205#2422C2211yescharacteristic
206#2421C2212yes—
207#2421C2211yescharacteristic
208#2421C2211yescharacteristic
209#2420C2212yes—
210#2420C2211yescharacteristic
211#2420C2211yescharacteristic
212#2419C2212yes—
213#2419C2214yes—
214#2419C2212yes—
215#2418C2212yes—
216#2418C2212yes—
217#2418C2214yes—
218#2417C2212yes—
219#2417C2212yes—
220#2417C2212yes—
221#2417C2214yes—
222#2417C2212yes—
223#2416C2212yes—
224#2416C2212yes—
225#2416C2212yes—
226#2416C2212yes—
227#2398C2212yes—
228#2398C2212yes—
229#2395C2212yes—
230#2395C2212yes—
231C2×#400C2212yes—
232C2×#398C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2370C2212yescomplemented
236#2370C2212yescomplemented
237#2364C2214yes—
238#2363C2212yescomplemented
239#2362C2212yescomplemented
240#2361C2214yes—
241#2361C2212yescomplemented
242#2360C2212yescomplemented
243#2345C2212yes—
244#2345C2212yes—
245#2345C2212yes—
246#2345C2212yes—
247#2345C2214yes—
248#2345C2214yes—
249#2344C2212yes—
250#2344C2212yes—
251#2344C2212yes—
252#2344C2212yes—
253#2337C2214yes—
254#2335C2214yes—
255#2330C2212yescomplemented
256#2330C2212yescomplemented
257#2324C2214yes—
258#2324C2212yescomplemented
259#2323C2212yescomplemented
260#2317C2211yescharacteristic
261#2316C2211yescharacteristic
262#2316C2211yescharacteristic
263#2316C2211yescharacteristic
264#2316C2211yescharacteristic
265#2314C2214yes—
266#2313C2214yes—
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272C4×#125C2212yescomplemented
273C4×#125C2212yescomplemented
274C4×#124C2212yes—
275C4×#124C2212yes—
276C4×C22⋊Q8C2212yescomplemented
277C4×#123C2212yes—
278C4×#123C2212yes—
279C4×#121C2212yescomplemented
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#385C2212yes—
287#2285C2211yescharacteristic
288C2×#382C2211yescharacteristic
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2214yes—
292C2×#380C2211yescharacteristic
293C2×#380C2212yes—
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C24×C4C2311yescharacteristic
302C24×C4C2312yes—
303#544—44no—
304#537—28no—
305#533—44no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2314yes—
311C2×#126C2314yes—
312C2×#125—28no—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324#525—44no—
325#525—44no—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2314yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2314yes—
350C2×#120C2312yes—
351C2×#120C2312yes—
352#520—44no—
353C4×#41—44no—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2314yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2314yes—
380C22×C4⋊C4—28no—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401#401C2314yes—
402#401C2314yes—
403#401C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#400C2314yes—
426#400C2312yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2312yes—
431#399C2314yes—
432#399C2312yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2312yes—
510#393C2312yes—
511#393C2312yes—
512#393C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2314yes—
519#391C2311yescharacteristic
520#391C2314yes—
521#391C2314yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2314yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2314yes—
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#384C2314yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2314yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#381C2312yes—
713#381C2312yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2312yes—
718#381C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2314yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2314yes—
750#380C2311yescharacteristic
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#379C2312yes—
757#379C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C43C2312yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C23×C4—24no—
841C23×C4—24no—
842C23×C4—24no—
843C23×C4—28no—
844C23×C4—44no—
845C23×C4—82no—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C4⋊Q8—42no—
868C4⋊Q8—42no—
869C4⋊Q8—44no—
870C4⋊Q8—44no—
871C4⋊Q8—84no—
872#126—84no—
873#125—28no—
874#125—28no—
875#125—28no—
876#125—28no—
877#125—42no—
878#125—42no—
879#125—44no—
880#125—44no—
881#124—48no—
882#124—44no—
883#124—44no—
884#123—44no—
885#123—44no—
886#123—48no—
887#123—44no—
888#123—44no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—48no—
894C22⋊Q8—42no—
895C22⋊Q8—42no—
896C22⋊Q8—42no—
897C22⋊Q8—42no—
898C22⋊Q8—84no—
899#121—216no—
900#121—28no—
901#121—28no—
902#121—42no—
903#121—42no—
904#121—42no—
905#121—42no—
906#121—48no—
907#121—84no—
908#120—44no—
909#120—44no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—42no—
913C4×Q8—42no—
914C4×Q8—44no—
915C4×D4—42no—
916C4×D4—42no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—48no—
925C4×D4—84no—
926#117—24no—
927#117—24no—
928#117—24no—
929#117—24no—
930#117—24no—
931#117—24no—
932#117—44no—
933#117—48no—
934#117—44no—
935#117—84no—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—28no—
939C2×C4⋊C4—28no—
940C2×C4⋊C4—24no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—28no—
943C2×C4⋊C4—28no—
944C2×C4⋊C4—28no—
945C2×C4⋊C4—28no—
946C2×C4⋊C4—44no—
947C2×C4⋊C4—82no—
948C2×C4⋊C4—82no—
949C2×C4⋊C4#4118yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C22⋊C4—42no—
1016C2×C22⋊C4—42no—
1017C2×C22⋊C4—44no—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C42—24no—
1078C2×C42—24no—
1079C2×C42—44no—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2414yes—
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24C2512yes—
1191C24C2512yes—
1192C24C2511yescharacteristic
1193C24C2511yescharacteristic
1194C24C2511yescharacteristic
1195#41—416no—
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—44no—
1210C2×Q8—44no—
1211C2×Q8—44no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—28no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—28no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—28no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—28no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—42no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—41no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—41no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—416no—
1299C22×C4—816no—
1300C22×C4C2×#4118yes—
1301C22×C4C2×#4114yes—
1302C22×C4H(5,𝔽2)14yes—
1303C22×C42−1+414yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2514yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2514yes—
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—28no—
1339C4⋊C4—28no—
1340C4⋊C4—28no—
1341C4⋊C4—28no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—28no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4C2×#4118yes—
1398C4⋊C4C2×#4118yes—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—28no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—44no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—24no—
1472C42—42no—
1473C42—42no—
1474C42—42no—
1475C42—44no—
1476C42—44no—
1477C42—44no—
1478C42—44no—
1479C42—44no—
1480C42—44no—
1481C42—42no—
1482C42—44no—
1483C42—42no—
1484C42—42no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—28no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23C22×#4112yes—
1523C23C2×H(5,𝔽2)12yes—
1524C23C2×2−1+412yes—
1525C23#58512yes—
1526C23#58512yes—
1527C23C2611yescharacteristic
1528Q8—44no—
1529Q8—44no—
1530Q8—84no—
1531Q8—84no—
1532Q8—164no—
1533D4—48no—
1534D4—48no—
1535D4—44no—
1536D4—44no—
1537D4—88no—
1538D4—84no—
1539D4—84no—
1540D4—84no—
1541D4—84no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—24no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—48no—
1626C2×C4—416no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—48no—
1633C2×C4—48no—
1634C2×C4—88no—
1635C2×C4—82no—
1636C2×C4—82no—
1637C2×C4—84no—
1638C2×C4—82no—
1639C2×C4—82no—
1640C2×C4—84no—
1641C2×C4—84no—
1642C2×C4—84no—
1643C2×C4—84no—
1644C2×C4—164no—
1645C2×C4#542116yes—
1646C2×C4C22×#4118yes—
1647C2×C4C22×#4112yes—
1648C2×C4C22×#4112yes—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C2×C4C2×H(5,𝔽2)12yes—
1651C2×C4C2×2−1+412yes—
1652C2×C4C2×2−1+412yes—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—416no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22C2×#54214yes—
1689C22C23×#4111yescharacteristic
1690C22C22×H(5,𝔽2)11yescharacteristic
1691C22C22×2−1+411yescharacteristic
1692C22C2×#58511yescharacteristic
1693C22C2×#58511yescharacteristic
1694C22H(7,𝔽2)11yescharacteristic
1695C222−1+611yescharacteristic
1696C4—28no—
1697C4—44no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—44no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—41no—
1709C4—41no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—41no—
1714C4—41no—
1715C4—42no—
1716C4—42no—
1717C4—41no—
1718C4—42no—
1719C4—44no—
1720C4—41no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4C2×#54214yes—
1725C4C2×#54214yes—
1726C2—24no—
1727C2—42no—
1728C2—42no—
1729C2—82no—
1730C2—82no—
1731C2C22×#54211yescharacteristic
1732C2#6282511yescharacteristic
1733C2#6287711yescharacteristic
1734C2#6292711yescharacteristic
1735C2#6295711yescharacteristic
1736C2#6299011yescharacteristic
1737C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35223C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42758C2semidirect
2. #42722C2semidirect
3. #42720C2semidirect
4. #42640C2semidirect
5. #42637C2semidirect
6. #42625C2semidirect
7. #42564C2semidirect
8. #42537C2semidirect
9. #41392C2semidirect
10. #40566C2semidirect
11. #40192C2semidirect
12. #40171C2semidirect
13. #40106C2semidirect
14. #40058C2semidirect
15. #39240C2semidirect
16. #39236C2semidirect
17. #39026C2semidirect
18. #39022C2semidirect
19. #38391C2semidirect
20. #37852C2semidirect
21. #35649C2semidirect
22. #35629C2semidirect
23. #35575C2semidirect
24. #35566C2semidirect
25. #35542C2semidirect
26. #35516C2semidirect
27. #35334C2semidirect
28. #35267C2semidirect
30. #34813C2semidirect
31. #34742C2semidirect
32. C2×#2442C2semidirect
33. #34267C2semidirect
34. #34217C2semidirect
35. #34178C2semidirect
45. #2863C22semidirect
46. #2860C22semidirect
47. #2851C22semidirect
48. #2851C22semidirect
50. #2839C22semidirect
51. #2838C22semidirect
52. #2838C22semidirect
53. #2830C22semidirect
54. #2796C22semidirect
55. #2796C22semidirect
56. #2793C22semidirect
57. #2790C22semidirect
58. #2777C22semidirect
59. #2772C22semidirect
60. #2767C22semidirect
61. #2767C22semidirect
62. #2765C22semidirect
63. #2762C22semidirect
64. #2762C22semidirect
65. #2751C22semidirect
66. #2751C22semidirect
74. #2739C22semidirect
78. #2729C22semidirect
81. #2716C22semidirect
86. #2666C22semidirect
87. #2655C22semidirect
89. #2652C22semidirect
90. #2652C22semidirect
91. #2651C22semidirect
92. #2650C22semidirect
93. #2650C22semidirect
95. #2645C22semidirect
96. #2644C22semidirect
97. #2638C22semidirect
99. #2628C22semidirect
100. #2628C22semidirect
104. #2584C22semidirect
105. #2584C22semidirect
106. #2581C22semidirect
107. #2581C22semidirect
108. #2580C22semidirect
109. #2580C22semidirect
110. #2567C22semidirect
117. #2552C22semidirect
118. #2551C22semidirect
119. #2550C22semidirect
120. #2550C22semidirect
123. #2546C22semidirect
124. #2520C22semidirect
125. #2515C22semidirect
126. #2515C22semidirect
127. #2514C22semidirect
128. #2514C22semidirect
129. #2513C22semidirect
130. #2513C22semidirect
135. #2497C22semidirect
136. #2496C22semidirect
138. #2495C22semidirect
139. #2495C22semidirect
140. #2495C22semidirect
142. #2494C22semidirect
143. #2494C22semidirect
144. #2494C22semidirect
155. #2490C22semidirect
156. #2490C22semidirect
157. #2490C22semidirect
158. #2490C22semidirect
162. #2489C22semidirect
163. #2489C22semidirect
164. #2489C22semidirect
165. #2489C22semidirect
181. #2468C22semidirect
182. #2454C22semidirect
183. #2453C22semidirect
184. #2452C22semidirect
185. #2451C22semidirect
194. #2442C22semidirect
195. #2441C22semidirect
197. #2440C22semidirect
198. #2439C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2370C22semidirect
236. #2370C22semidirect
238. #2363C22semidirect
239. #2362C22semidirect
241. #2361C22semidirect
242. #2360C22semidirect
255. #2330C22semidirect
256. #2330C22semidirect
258. #2324C22semidirect
259. #2323C22semidirect
272. C4×#125C22semidirect
273. C4×#125C22semidirect
276. C4×C22⋊Q8C22semidirect
279. C4×#121C22semidirect

Maximal subgroups

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

subgroupindex
#427582
#427222
#427202
#426402
#426372
#426252
#425642
#425372
#413922
#405662
#401922
#401712
#401062
#400582
#392402
#392362
#390262
#390222
#383912
#378522
#356492
#356292
#355752
#355662
#355422
#355162
#353342
#352672
#352232
#348132
#347422
C2×#24422
#342672
#342172
#341782