Finite Group Databasebeta

← #7806304

Subgroups — #7806304

Order 512.

5010 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#59897C212yesmaximal, complemented
2#59871C211yesmaximal, characteristic, complemented
3#59831C212yesmaximal, complemented
4#59823C211yesmaximal, characteristic, complemented
5#59672C211yesmaximal, characteristic, complemented
6#59668C211yesmaximal, characteristic, complemented
7#59665C211yesmaximal, characteristic, complemented
8#59466C211yesmaximal, characteristic, complemented
9#59458C211yesmaximal, characteristic, complemented
10#59457C211yesmaximal, characteristic, complemented
11#59455C212yesmaximal, complemented
12#59454C212yesmaximal, complemented
13#59314C212yesmaximal, complemented
14#59305C212yesmaximal, complemented
15#59155C212yesmaximal, complemented
16#59155C212yesmaximal, complemented
17#47729C214yesmaximal, complemented
18#47728C214yesmaximal, complemented
19#42499C212yesmaximal, complemented
20#42498C212yesmaximal, complemented
21#42495C212yesmaximal, complemented
22#42494C212yesmaximal, complemented
23#41998C214yesmaximal, complemented
24#37623C211yesmaximal, characteristic, complemented
25#35963C212yesmaximal, complemented
26#35950C212yesmaximal, complemented
27#35934C212yesmaximal, complemented
28#35858C212yesmaximal, complemented
29#35806C214yesmaximal, complemented
30#34966C211yesmaximal, characteristic, complemented
31#34966C211yesmaximal, characteristic, complemented
32C2×#2552C211yesmaximal, characteristic, complemented
33#34236C211yesmaximal, characteristic
34#34236C211yesmaximal, characteristic
35#34207C211yesmaximal, characteristic
36C2×#554C2212yes—
37C2×#554C2212yes—
38C2×#554C2214yes—
39C2×#532C2211yescharacteristic
40C22×#125C2212yes—
41C2×#520C2212yes—
42#2843C2214yes—
43#2841C2214yes—
44#2841C2214yes—
45#2809C2214yes—
46#2807C2214yes—
47#2806C2214yes—
48#2806C2214yes—
49#2799C2214yes—
50#2790C2214yes—
51#2790C2214yes—
52#2790C2214yes—
53#2788C2214yes—
54#2788C2214yes—
55#2780C2214yes—
56#2768C2214yes—
57#2748C2214yes—
58#2742C2214yes—
59#2732C2214yes—
60#2729C2214yes—
61#2720C2214yes—
62#2720C2214yes—
63#2720C2214yes—
64#2720C2214yes—
65#2704C2214yes—
66#2704C2214yes—
67#2704C2214yes—
68#2692C2214yes—
69#2667C2214yes—
70#2667C2214yes—
71#2660C2212yes—
72#2660C2212yes—
73#2659C2214yes—
74#2647C2212yes—
75#2647C2212yes—
76#2646C2214yes—
77#2629C2214yes—
78#2627C2214yes—
79#2627C2214yes—
80#2606C2212yes—
81#2606C2212yes—
82#2605C2212yes—
83#2605C2212yes—
84#2589C2214yes—
85#2587C2214yes—
86#2584C2212yes—
87#2584C2212yes—
88#2584C2212yes—
89#2584C2212yes—
90#2583C2214yes—
91#2582C2214yes—
92#2580C2212yes—
93#2580C2212yes—
94#2579C2214yes—
95#2579C2214yes—
96#2579C2214yes—
97#2571C2211yescharacteristic
98#2570C2211yescharacteristic
99#2570C2211yescharacteristic
100#2570C2211yescharacteristic
101#2570C2211yescharacteristic
102#2569C2214yes—
103#2567C2212yes—
104#2566C2212yes—
105#2566C2212yes—
106#2566C2212yes—
107#2566C2212yes—
108#2565C2214yes—
109#2564C2214yes—
110#2556C2214yes—
111#2556C2214yes—
112#2552C2212yes—
113#2552C2212yes—
114#2552C2212yes—
115#2552C2212yes—
116#2552C2211yescharacteristic
117#2552C2212yes—
118#2552C2212yes—
119#2552C2211yescharacteristic
120#2552C2211yescharacteristic
121#2552C2211yescharacteristic
122#2552C2211yescharacteristic
123#2552C2212yes—
124#2552C2214yes—
125#2552C2211yescharacteristic
126#2551C2212yes—
127#2551C2211yescharacteristic
128#2550C2212yes—
129#2550C2211yescharacteristic
130#2550C2212yes—
131#2550C2211yescharacteristic
132#2550C2211yescharacteristic
133#2550C2211yescharacteristic
134#2549C2214yes—
135#2549C2214yes—
136#2546C2212yes—
137#2542C2212yes—
138#2542C2212yes—
139#2538C2212yes—
140#2538C2212yes—
141#2538C2212yes—
142#2538C2212yes—
143#2522C2214yes—
144#2509C2212yes—
145#2509C2212yes—
146#2508C2212yes—
147#2508C2212yes—
148#2507C2212yes—
149#2507C2212yes—
150#2507C2212yes—
151#2507C2212yes—
152#2506C2212yes—
153#2506C2212yes—
154#2506C2212yes—
155#2506C2212yes—
156#2505C2214yes—
157#2502C2214yes—
158#2497C2214yes—
159#2487C2214yes—
160#2473C2214yes—
161#2473C2214yes—
162#2473C2214yes—
163#2465C2214yes—
164#2454C2212yes—
165#2454C2212yes—
166#2454C2212yes—
167#2454C2212yes—
168#2454C2212yes—
169#2454C2212yes—
170#2454C2212yes—
171#2454C2212yes—
172#2453C2214yes—
173#2452C2212yes—
174#2452C2212yes—
175#2452C2212yes—
176#2452C2212yes—
177#2451C2214yes—
178#2450C2214yes—
179#2450C2214yes—
180#2450C2214yes—
181#2449C2214yes—
182#2449C2214yes—
183#2449C2214yes—
184#2449C2214yes—
185#2449C2214yes—
186#2442C2214yes—
187#2442C2211yescharacteristic
188#2442C2212yes—
189#2442C2212yes—
190#2442C2211yescharacteristic
191#2442C2211yescharacteristic
192#2442C2211yescharacteristic
193#2440C2214yes—
194#2440C2211yescharacteristic
195#2440C2212yes—
196#2440C2211yescharacteristic
197#2440C2212yes—
198#2440C2214yes—
199#2440C2211yescharacteristic
200#2440C2211yescharacteristic
201#2438C2214yes—
202#2438C2212yes—
203#2438C2212yes—
204#2438C2214yes—
205#2438C2212yes—
206#2438C2212yes—
207#2423C2214yes—
208#2417C2214yes—
209#2417C2214yes—
210#2417C2214yes—
211#2402C2212yes—
212#2402C2212yes—
213#2399C2212yes—
214#2399C2212yes—
215#2396C2214yes—
216C2×#398C2214yes—
217C2×#398C2214yes—
218#2370C2212yes—
219#2370C2212yes—
220#2370C2212yes—
221#2370C2212yes—
222#2369C2211yescharacteristic
223#2369C2211yescharacteristic
224#2369C2211yescharacteristic
225#2369C2212yes—
226#2369C2211yescharacteristic
227#2366C2211yescharacteristic
228#2366C2211yescharacteristic
229#2366C2211yescharacteristic
230#2366C2211yescharacteristic
231#2365C2212yes—
232#2361C2212yes—
233#2361C2212yes—
234#2361C2212yes—
235#2361C2212yes—
236#2361C2212yes—
237#2361C2212yes—
238#2361C2212yes—
239#2361C2212yes—
240#2357C2212yes—
241#2357C2212yes—
242#2355C2212yes—
243#2354C2212yes—
244#2354C2212yes—
245Q8×C4⋊C4C2212yes—
246#2349C2212yes—
247#2349C2212yes—
248#2349C2212yes—
249#2349C2214yes—
250#2349C2212yes—
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2212yes—
254D4×C4⋊C4C2212yes—
255D4×C4⋊C4C2214yes—
256D4×C4⋊C4C2214yes—
257D4×C4⋊C4C2212yes—
258D4×C4⋊C4C2212yes—
259#2339C2214yes—
260#2339C2214yes—
261#2337C2214yes—
262#2337C2214yes—
263#2326C2212yes—
264#2326C2212yes—
265#2319C2212yes—
266#2319C2212yes—
267#2311C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2212yes—
287C4×#121C2212yes—
288C2×#389C2212yes—
289C2×#389C2212yes—
290C2×#384C2211yescharacteristic
291C2×#384C2212yes—
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2275C2212yes—
295#2275C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#554—416no—
301#554—48no—
302#554—48no—
303#532Q8116yescomplemented
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#125—48no—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#124C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345#520—48no—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2314yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2314yes—
382C22×C4⋊C4C2314yes—
383C22×C4⋊C4C2314yes—
384C22×C4⋊C4C2314yes—
385C22×C4⋊C4C2314yes—
386C22×C4⋊C4C2314yes—
387C22×C4⋊C4C2314yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C42C2312yes—
393C22×C42C2312yes—
394C22×C42C2311yescharacteristic
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2312yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2312yes—
482#395C2314yes—
483#395C2314yes—
484#395C2312yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2312yes—
491#395C2312yes—
492#395C2312yes—
493#395C2312yes—
494#395C2312yes—
495#395C2312yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2311yescharacteristic
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#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2314yes—
600#389C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2314yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2314yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2314yes—
704#384C2314yes—
705#384C2312yes—
706#383C2312yes—
707#383C2312yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2311yescharacteristic
718#382C2311yescharacteristic
719#381C2314yes—
720#381C2314yes—
721#381C2312yes—
722#381C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2311yescharacteristic
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—44no—
817C2×#41—44no—
818C2×#41C2×Q8116yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C4⋊Q8—24no—
845C4⋊Q8—24no—
846C4⋊Q8—42no—
847C4⋊Q8—44no—
848C4⋊Q8—42no—
849C4⋊Q8—44no—
850C4⋊Q8—48no—
851C4⋊Q8C2×Q818yes—
852#127C2×Q818yes—
853#125—28no—
854#125—28no—
855#125—24no—
856#125—24no—
857#125—44no—
858#125—44no—
859#125—42no—
860#125—44no—
861#125—42no—
862#125—48no—
863#125—44no—
864#125—48no—
865#125—48no—
866#125—48no—
867#124C2×Q8116yes—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—44no—
871C22⋊Q8—44no—
872C22⋊Q8—48no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882#121C2×Q8116yes—
883#121C2×Q8116yes—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—48no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—216no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—48no—
907C4×D4—48no—
908C4×D4—48no—
909C4×D4—48no—
910C4×D4—48no—
911C4×D4C2×Q8116yes—
912C4×D4C2×Q8116yes—
913#117—24no—
914#117—48no—
915#117—42no—
916C2×C4⋊C4—24no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—42no—
919C2×C4⋊C4—42no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—48no—
922C2×C4⋊C4—48no—
923C2×C4⋊C4—48no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—48no—
926C2×C4⋊C4—48no—
927C2×C4⋊C4—48no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—48no—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C42—44no—
1057C2×C42—44no—
1058C2×C42C2×Q818yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2414yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171C24C2514yes—
1172C24C2511yescharacteristic
1173#41—432no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8C22×Q818yes—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4C22×Q818yes—
1201C2×D4C22×Q818yes—
1202C2×D4C22×Q8116yes—
1203C2×D4C22×Q818yes—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—28no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—28no—
1218C22×C4—28no—
1219C22×C4—28no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4C22×Q814yes—
1246C22×C4C22×Q814yes—
1247C22×C4C22×Q814yes—
1248C22×C4C22×Q8116yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2514yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4C22×Q818yes—
1377C4⋊C4C22×Q818yes—
1378C4⋊C4H(5,𝔽2)14yes—
1379C4⋊C42−1+414yes—
1380C22⋊C4—22no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4C22×Q8116yes—
1406C22⋊C4C22×Q8116yes—
1407C22⋊C4H(5,𝔽2)14yes—
1408C42—24no—
1409C42—24no—
1410C42—22no—
1411C42—22no—
1412C42—28no—
1413C42—24no—
1414C42—22no—
1415C42—22no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—42no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—41no—
1432C42—41no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42C22×Q814yes—
1439C42C22×Q814yes—
1440C42C22×Q814yes—
1441C42C22×Q814yes—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—24no—
1447C23—24no—
1448C23—24no—
1449C23—24no—
1450C23—24no—
1451C23—24no—
1452C23C23×Q818yes—
1453C23C23×Q812yes—
1454C23C2×H(5,𝔽2)12yes—
1455C23#58512yes—
1456C23C2611yescharacteristic
1457Q8—48no—
1458Q8—48no—
1459Q8—84no—
1460Q8—84no—
1461Q8—84no—
1462Q8—164no—
1463D4—232no—
1464D4—216no—
1465D4—216no—
1466D4—48no—
1467C2×C4—21no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—28no—
1486C2×C4—28no—
1487C2×C4—28no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—416no—
1555C2×C4—48no—
1556C2×C4—48no—
1557C2×C4—88no—
1558C2×C4—88no—
1559C2×C4—88no—
1560C2×C4—88no—
1561C2×C4—84no—
1562C2×C4—84no—
1563C2×C4—164no—
1564C2×C4—164no—
1565C2×C4—164no—
1566C2×C4C23×Q812yes—
1567C2×C4C23×Q812yes—
1568C2×C4C23×Q812yes—
1569C2×C4C23×Q812yes—
1570C2×C4C23×Q818yes—
1571C2×C4C23×Q812yes—
1572C2×C4C23×Q812yes—
1573C2×C4C2×H(5,𝔽2)12yes—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C2×C4C2×H(5,𝔽2)14yes—
1576C2×C4C2×H(5,𝔽2)12yes—
1577C2×C4C2×2−1+414yes—
1578C2×C4C2×2−1+412yes—
1579C2×C4#58512yes—
1580C2×C4#58512yes—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—28no—
1588C22—28no—
1589C22—28no—
1590C22—44no—
1591C22—44no—
1592C22—44no—
1593C22—44no—
1594C22#350114yes—
1595C22C24×Q811yescharacteristic
1596C22C22×H(5,𝔽2)11yescharacteristic
1597C22C22×H(5,𝔽2)11yescharacteristic
1598C22C22×2−1+411yescharacteristic
1599C22C2×#58511yescharacteristic
1600C22C2×#58511yescharacteristic
1601C22C2×#58511yescharacteristic
1602C4—24no—
1603C4—22no—
1604C4—22no—
1605C4—24no—
1606C4—22no—
1607C4—22no—
1608C4—28no—
1609C4—22no—
1610C4—22no—
1611C4—41no—
1612C4—42no—
1613C4—42no—
1614C4—42no—
1615C4—44no—
1616C4—42no—
1617C4—44no—
1618C4—42no—
1619C4—41no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—41no—
1628C4—41no—
1629C4—42no—
1630C4—41no—
1631C4—41no—
1632C4—42no—
1633C4#350314yes—
1634C4#350414yes—
1635C2—24no—
1636C2—48no—
1637C2C2×#350111yescharacteristic
1638C2C2×#350311yescharacteristic
1639C2C2×#350411yescharacteristic
1640C2#6301311yescharacteristic
1641C2#6301411yescharacteristic
1642C2#6301811yescharacteristic
1643C2#6303311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#532C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59897C2semidirect
2. #59871C2semidirect
3. #59831C2semidirect
4. #59823C2semidirect
5. #59672C2semidirect
6. #59668C2semidirect
7. #59665C2semidirect
8. #59466C2semidirect
9. #59458C2semidirect
10. #59457C2semidirect
11. #59455C2semidirect
12. #59454C2semidirect
13. #59314C2semidirect
14. #59305C2semidirect
15. #59155C2semidirect
16. #59155C2semidirect
17. #47729C2semidirect
18. #47728C2semidirect
19. #42499C2semidirect
20. #42498C2semidirect
21. #42495C2semidirect
22. #42494C2semidirect
23. #41998C2semidirect
24. #37623C2semidirect
25. #35963C2semidirect
26. #35950C2semidirect
27. #35934C2semidirect
28. #35858C2semidirect
29. #35806C2semidirect
30. #34966C2semidirect
31. #34966C2semidirect
32. C2×#2552C2semidirect
303. #532Q8semidirect

Maximal subgroups

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

subgroupindex
#598972
#598712
#598312
#598232
#596722
#596682
#596652
#594662
#594582
#594572
#594552
#594542
#593142
#593052
#591552
#477292
#477282
#424992
#424982
#424952
#424942
#419982
#376232
#359632
#359502
#359342
#358582
#358062
#349662
C2×#25522
#342362
#342072