Finite Group Databasebeta

← #7732054

Subgroups — #7732054

Order 512.

4912 conjugacy classes of subgroups.

The subgroup lattice has 1667 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48848C214yesmaximal, complemented
2#47974C214yesmaximal, complemented
3#47728C214yesmaximal, complemented
4#47726C214yesmaximal, complemented
5#45110C212yesmaximal, complemented
6#44942C212yesmaximal, complemented
7#44941C212yesmaximal, complemented
8#44908C212yesmaximal, complemented
9#39681C212yesmaximal, complemented
10#39672C212yesmaximal, complemented
11#39626C212yesmaximal, complemented
12#39611C212yesmaximal, complemented
13#39497C211yesmaximal, characteristic, complemented
14#39369C211yesmaximal, characteristic, complemented
15#38966C211yesmaximal, characteristic, complemented
16#38966C211yesmaximal, characteristic, complemented
17#38104C212yesmaximal, complemented
18#38098C212yesmaximal, complemented
19#37874C212yesmaximal, complemented
20#37690C212yesmaximal, complemented
21#37623C211yesmaximal, characteristic, complemented
22#37310C212yesmaximal, complemented
23#37307C212yesmaximal, complemented
24#36416C211yesmaximal, characteristic, complemented
25#36261C211yesmaximal, characteristic, complemented
26#36180C211yesmaximal, characteristic, complemented
27#36134C211yesmaximal, characteristic, complemented
28#35532C212yesmaximal, complemented
29#35519C212yesmaximal, complemented
30#35275C211yesmaximal, characteristic, complemented
31#35202C211yesmaximal, characteristic, complemented
32#34912C211yesmaximal, characteristic, complemented
33#34367C211yesmaximal, characteristic
34#34207C211yesmaximal, characteristic
35#34086C211yesmaximal, characteristic
36C2×#554C2212yes—
37C2×#554C2212yes—
38C2×#544C2212yes—
39C2×#544C2212yes—
40C2×#533C2212yes—
41C2×#532C2211yescharacteristic
42C2×#520C2212yes—
43#2868C2211yescharacteristic
44#2868C2211yescharacteristic
45#2864C2212yes—
46#2859C2211yescharacteristic
47#2859C2211yescharacteristic
48#2859C2212yes—
49#2857C2212yes—
50#2857C2212yes—
51#2857C2212yes—
52#2851C2212yes—
53#2843C2214yes—
54#2807C2214yes—
55#2806C2214yes—
56#2806C2214yes—
57#2806C2214yes—
58#2799C2214yes—
59#2792C2214yes—
60#2792C2214yes—
61#2791C2214yes—
62#2790C2214yes—
63#2790C2214yes—
64#2790C2214yes—
65#2790C2214yes—
66#2784C2214yes—
67#2780C2214yes—
68#2780C2214yes—
69#2780C2214yes—
70#2774C2214yes—
71#2768C2214yes—
72#2768C2214yes—
73#2768C2214yes—
74#2748C2214yes—
75#2748C2214yes—
76#2732C2214yes—
77#2732C2214yes—
78#2732C2214yes—
79#2732C2214yes—
80#2729C2214yes—
81#2729C2214yes—
82#2720C2214yes—
83#2720C2214yes—
84#2720C2214yes—
85#2704C2214yes—
86#2692C2214yes—
87#2692C2214yes—
88#2692C2214yes—
89#2683C2214yes—
90#2683C2214yes—
91#2683C2214yes—
92#2677C2214yes—
93#2677C2214yes—
94#2667C2214yes—
95#2660C2212yes—
96#2660C2212yes—
97#2660C2212yes—
98#2660C2212yes—
99#2647C2212yes—
100#2647C2212yes—
101#2629C2212yes—
102#2629C2212yes—
103#2629C2212yes—
104#2628C2212yes—
105#2627C2214yes—
106#2608C2212yes—
107#2607C2212yes—
108#2606C2212yes—
109#2606C2214yes—
110#2605C2212yes—
111#2589C2214yes—
112#2587C2214yes—
113#2587C2214yes—
114#2584C2212yes—
115#2583C2214yes—
116#2583C2214yes—
117#2582C2214yes—
118#2581C2214yes—
119#2580C2212yes—
120#2580C2214yes—
121#2579C2214yes—
122#2571C2211yescharacteristic
123#2570C2211yescharacteristic
124#2570C2211yescharacteristic
125#2567C2212yes—
126#2567C2214yes—
127#2566C2212yes—
128#2566C2212yes—
129#2566C2212yes—
130#2566C2212yes—
131#2566C2214yes—
132#2565C2214yes—
133#2564C2214yes—
134#2556C2214yes—
135#2552C2211yescharacteristic
136#2552C2211yescharacteristic
137#2552C2212yes—
138#2552C2211yescharacteristic
139#2552C2211yescharacteristic
140#2552C2211yescharacteristic
141#2552C2212yes—
142#2552C2211yescharacteristic
143#2552C2212yes—
144#2552C2212yes—
145#2552C2212yes—
146#2551C2212yes—
147#2551C2212yes—
148#2551C2212yes—
149#2551C2211yescharacteristic
150#2550C2212yes—
151#2550C2211yescharacteristic
152#2550C2211yescharacteristic
153#2550C2212yes—
154#2549C2214yes—
155#2542C2212yes—
156#2542C2212yes—
157#2542C2214yes—
158#2538C2212yes—
159#2538C2214yes—
160#2520C2214yes—
161#2508C2212yes—
162#2508C2212yes—
163#2507C2212yes—
164#2507C2214yes—
165#2506C2212yes—
166#2505C2214yes—
167#2502C2214yes—
168#2473C2214yes—
169#2465C2214yes—
170#2462C2214yes—
171#2454C2212yes—
172#2454C2212yes—
173#2452C2212yes—
174#2452C2212yes—
175#2451C2214yes—
176#2450C2214yes—
177#2450C2214yes—
178#2449C2214yes—
179#2449C2214yes—
180#2449C2214yes—
181#2449C2214yes—
182#2449C2214yes—
183#2449C2214yes—
184#2449C2214yes—
185#2449C2214yes—
186#2442C2212yes—
187#2442C2212yes—
188#2442C2212yes—
189#2442C2212yes—
190#2441C2212yes—
191#2441C2212yes—
192#2441C2212yes—
193#2441C2212yes—
194#2441C2212yes—
195#2441C2212yes—
196#2441C2211yescharacteristic
197#2441C2211yescharacteristic
198#2441C2212yes—
199#2441C2212yes—
200#2441C2212yes—
201#2441C2212yes—
202#2440C2212yes—
203#2440C2212yes—
204#2440C2214yes—
205#2440C2212yes—
206#2440C2212yes—
207#2440C2212yes—
208#2440C2214yes—
209#2440C2212yes—
210#2440C2212yes—
211#2440C2212yes—
212#2440C2212yes—
213#2440C2212yes—
214#2440C2212yes—
215#2440C2212yes—
216#2439C2212yes—
217#2439C2212yes—
218#2439C2211yescharacteristic
219#2439C2211yescharacteristic
220#2429C2214yes—
221#2429C2214yes—
222#2423C2214yes—
223#2396C2212yes—
224#2396C2212yes—
225#2377C2214yes—
226#2370C2212yes—
227#2365C2212yes—
228#2363C2212yes—
229#2363C2212yes—
230#2361C2212yes—
231#2361C2214yes—
232#2361C2212yes—
233#2355C2212yes—
234#2354C2211yescharacteristic
235#2354C2211yescharacteristic
236#2354C2211yescharacteristic
237#2354C2212yes—
238#2354C2211yescharacteristic
239#2352C2212yes—
240#2352C2212yes—
241Q8×C4⋊C4C2212yes—
242#2349C2212yes—
243D4×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2212yes—
248D4×C4⋊C4C2212yes—
249#2337C2212yes—
250#2337C2212yes—
251#2337C2214yes—
252#2333C2212yes—
253#2333C2212yes—
254#2331C2211yescharacteristic
255#2331C2212yes—
256#2331C2211yescharacteristic
257#2330C2212yes—
258#2330C2212yes—
259#2328C2211yescharacteristic
260#2328C2211yescharacteristic
261#2328C2212yes—
262#2326C2214yes—
263#2324C2211yescharacteristic
264#2324C2211yescharacteristic
265#2324C2211yescharacteristic
266#2324C2211yescharacteristic
267#2317C2212yes—
268#2317C2212yes—
269#2317C2212yes—
270#2317C2212yes—
271#2311C2212yes—
272#2311C2212yes—
273#2311C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×#127C2212yes—
278C4×#125C2211yescharacteristic
279C4×#125C2211yescharacteristic
280#2297C2212yes—
281#2297C2212yes—
282#2296C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287C2×#389C2212yes—
288#2290C2212yes—
289#2290C2212yes—
290#2285C2211yescharacteristic
291C2×#384C2212yes—
292C2×#384C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300#554—48no—
301#554—48no—
302#544—48no—
303#544—48no—
304#533—48no—
305#532Q8116yescomplemented
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2314yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2314yes—
332C2×#124C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352#520—48no—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2314yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2314yes—
391C22×C4⋊C4C2314yes—
392C22×C4⋊C4C2314yes—
393C22×C4⋊C4C2312yes—
394C22×C42C2312yes—
395C22×C42C2312yes—
396C22×C42C2311yescharacteristic
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2312yes—
410#399C2312yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2312yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2312yes—
483#395C2312yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2312yes—
491#393C2312yes—
492#393C2314yes—
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2314yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
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#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2314yes—
701#384C2312yes—
702#384C2314yes—
703#384C2312yes—
704#384C2312yes—
705#384C2314yes—
706#384C2311yescharacteristic
707#384C2314yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#383C2312yes—
723#383C2312yes—
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#382C2314yes—
727#382C2312yes—
728#382C2312yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#382C2312yes—
732#382C2314yes—
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2311yescharacteristic
737#381C2312yes—
738#381C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2311yescharacteristic
811#376C2311yescharacteristic
812#376C2312yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C43C2311yescharacteristic
817C2×#41—44no—
818C2×#41—44no—
819C2×#41C2×Q8116yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2414yes—
825C22×Q8C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2411yescharacteristic
846C4⋊Q8—24no—
847C4⋊Q8—28no—
848C4⋊Q8—42no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—48no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—48no—
856C4⋊Q8—82no—
857C4⋊Q8—82no—
858C4⋊Q8C2×Q818yes—
859#127C2×Q818yes—
860#125—28no—
861#125—24no—
862#125—28no—
863#125—44no—
864#125—42no—
865#125—44no—
866#125—48no—
867#125—44no—
868#125—44no—
869#125—44no—
870#125—44no—
871#125—48no—
872#124C2×Q8116yes—
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—
882C22⋊Q8—48no—
883C22⋊Q8—48no—
884C22⋊Q8—48no—
885C22⋊Q8—84no—
886C22⋊Q8—84no—
887C22⋊Q8—84no—
888C22⋊Q8—84no—
889#121C2×Q818yes—
890#121C2×Q818yes—
891#121C2×Q8116yes—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—48no—
895C4×Q8—48no—
896C4×Q8—48no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—48no—
902C4×D4—48no—
903C4×D4—48no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—84no—
909C4×D4C2×Q818yes—
910C4×D4C2×Q818yes—
911C4×D4C2×Q8116yes—
912#117—24no—
913#117—28no—
914#117—28no—
915#117—24no—
916#117—24no—
917#117—44no—
918#117—44no—
919#117—44no—
920#117—42no—
921#117—44no—
922#117—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—48no—
930C2×C4⋊C4—48no—
931C2×C4⋊C4—84no—
932C2×C4⋊C4—82no—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C42—44no—
1064C2×C42—44no—
1065C2×C42C2×Q818yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173C24C2511yescharacteristic
1174C24C2512yes—
1175C24C2512yes—
1176#41—432no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—28no—
1180C2×Q8—24no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8C22×Q818yes—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4C22×Q814yes—
1208C2×D4C22×Q814yes—
1209C2×D4C22×Q818yes—
1210C2×D4C22×Q818yes—
1211C2×D4C22×Q818yes—
1212C2×D4C22×Q818yes—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—41no—
1228C22×C4—42no—
1229C22×C4—41no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—42no—
1236C22×C4—42no—
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×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4C22×Q814yes—
1251C22×C4C22×Q814yes—
1252C22×C4C22×Q818yes—
1253C22×C4C22×Q818yes—
1254C22×C4C22×Q814yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2514yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4C22×Q818yes—
1375C4⋊C4C22×Q814yes—
1376C4⋊C4C22×Q814yes—
1377C4⋊C4H(5,𝔽2)14yes—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4C22×Q818yes—
1414C22⋊C4C22×Q818yes—
1415C22⋊C4C22×Q818yes—
1416C22⋊C4C22×Q818yes—
1417C42—22no—
1418C42—24no—
1419C42—24no—
1420C42—28no—
1421C42—28no—
1422C42—22no—
1423C42—22no—
1424C42—24no—
1425C42—24no—
1426C42—22no—
1427C42—24no—
1428C42—24no—
1429C42—22no—
1430C42—24no—
1431C42—22no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—42no—
1436C42—41no—
1437C42—41no—
1438C42—42no—
1439C42—44no—
1440C42—42no—
1441C42—44no—
1442C42—44no—
1443C42—42no—
1444C42—41no—
1445C42—41no—
1446C42C22×Q814yes—
1447C42C22×Q814yes—
1448C42C22×Q814yes—
1449C42C22×Q814yes—
1450C42H(5,𝔽2)14yes—
1451C422−1+414yes—
1452C23—21no—
1453C23—22no—
1454C23—22no—
1455C23—21no—
1456C23—22no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23—22no—
1470C23C23×Q814yes—
1471C23C23×Q814yes—
1472C23C23×Q812yes—
1473C23C2611yescharacteristic
1474Q8—48no—
1475Q8—48no—
1476Q8—88no—
1477Q8—84no—
1478Q8—164no—
1479Q8—164no—
1480D4—28no—
1481D4—28no—
1482D4—48no—
1483D4—48no—
1484D4—48no—
1485D4—48no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—216no—
1509C2×C4—216no—
1510C2×C4—28no—
1511C2×C4—28no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—44no—
1570C2×C4—48no—
1571C2×C4—48no—
1572C2×C4—84no—
1573C2×C4—84no—
1574C2×C4—88no—
1575C2×C4—164no—
1576C2×C4—164no—
1577C2×C4—164no—
1578C2×C4—164no—
1579C2×C4C23×Q812yes—
1580C2×C4C23×Q812yes—
1581C2×C4C23×Q812yes—
1582C2×C4C23×Q812yes—
1583C2×C4C23×Q814yes—
1584C2×C4C23×Q814yes—
1585C2×C4C23×Q812yes—
1586C2×C4C23×Q812yes—
1587C2×C4C2×H(5,𝔽2)14yes—
1588C2×C4C2×H(5,𝔽2)12yes—
1589C2×C4C2×H(5,𝔽2)12yes—
1590C2×C4C2×H(5,𝔽2)12yes—
1591C2×C4C2×H(5,𝔽2)12yes—
1592C2×C4C2×2−1+412yes—
1593C2×C4C2×2−1+412yes—
1594C2×C4C2×2−1+412yes—
1595C2×C4#58512yes—
1596C22—22no—
1597C22—24no—
1598C22—24no—
1599C22—22no—
1600C22—24no—
1601C22—24no—
1602C22—22no—
1603C22—24no—
1604C22—24no—
1605C22—42no—
1606C22—42no—
1607C22—41no—
1608C22—42no—
1609C22—41no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—41no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22C24×Q811yescharacteristic
1618C22C22×H(5,𝔽2)11yescharacteristic
1619C22C22×H(5,𝔽2)11yescharacteristic
1620C22C22×2−1+411yescharacteristic
1621C22C2×#58511yescharacteristic
1622C22H(7,𝔽2)11yescharacteristic
1623C222−1+611yescharacteristic
1624C4—22no—
1625C4—24no—
1626C4—24no—
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—24no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—44no—
1641C4—44no—
1642C4—42no—
1643C4—44no—
1644C4—41no—
1645C4—41no—
1646C4—42no—
1647C4—44no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4#350114yes—
1655C4#350314yes—
1656C2—42no—
1657C2—44no—
1658C2—44no—
1659C2C2×#350111yescharacteristic
1660C2C2×#350311yescharacteristic
1661C2#6285411yescharacteristic
1662C2#6291511yescharacteristic
1663C2#6291611yescharacteristic
1664C2#6292511yescharacteristic
1665C2#6292611yescharacteristic
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. #48848C2semidirect
2. #47974C2semidirect
3. #47728C2semidirect
4. #47726C2semidirect
5. #45110C2semidirect
6. #44942C2semidirect
7. #44941C2semidirect
8. #44908C2semidirect
9. #39681C2semidirect
10. #39672C2semidirect
11. #39626C2semidirect
12. #39611C2semidirect
13. #39497C2semidirect
14. #39369C2semidirect
15. #38966C2semidirect
16. #38966C2semidirect
17. #38104C2semidirect
18. #38098C2semidirect
19. #37874C2semidirect
20. #37690C2semidirect
21. #37623C2semidirect
22. #37310C2semidirect
23. #37307C2semidirect
24. #36416C2semidirect
25. #36261C2semidirect
26. #36180C2semidirect
27. #36134C2semidirect
28. #35532C2semidirect
29. #35519C2semidirect
30. #35275C2semidirect
31. #35202C2semidirect
32. #34912C2semidirect
305. #532Q8semidirect

Maximal subgroups

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

subgroupindex
#488482
#479742
#477282
#477262
#451102
#449422
#449412
#449082
#396812
#396722
#396262
#396112
#394972
#393692
#389662
#381042
#380982
#378742
#376902
#376232
#373102
#373072
#364162
#362612
#361802
#361342
#355322
#355192
#352752
#352022
#349122
#343672
#342072
#340862