Finite Group Databasebeta

← #7653636

Subgroups — #7653636

Order 512.

4764 conjugacy classes of subgroups.

The subgroup lattice has 1653 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42487C212yesmaximal
2#42486C212yesmaximal
3#40627C214yesmaximal, complemented
4#40622C214yesmaximal, complemented
5#39977C212yesmaximal, complemented
6#39973C212yesmaximal, complemented
7#39966C214yesmaximal, complemented
8#39964C214yesmaximal, complemented
9#39498C211yesmaximal, characteristic, complemented
10#39369C211yesmaximal, characteristic, complemented
11#38967C211yesmaximal, characteristic, complemented
12#38964C211yesmaximal, characteristic, complemented
13#38106C212yesmaximal, complemented
14#38105C212yesmaximal, complemented
15#37878C212yesmaximal, complemented
16#37691C212yesmaximal, complemented
17#37624C211yesmaximal, characteristic, complemented
18#37480C212yesmaximal, complemented
19#36479C212yesmaximal, complemented
20#36476C212yesmaximal, complemented
21#36416C211yesmaximal, characteristic, complemented
22#36407C211yesmaximal, characteristic, complemented
23#36194C211yesmaximal, characteristic, complemented
24#36132C211yesmaximal, characteristic, complemented
25#35843C212yesmaximal, complemented
26#35783C212yesmaximal, complemented
27#35294C211yesmaximal, characteristic, complemented
28#35192C211yesmaximal, characteristic, complemented
29#35151C212yesmaximal, complemented
30#35033C212yesmaximal, complemented
31#34978C211yesmaximal, characteristic, complemented
32#34739C212yesmaximal, complemented
33#34186C211yesmaximal, characteristic
34#34126C211yesmaximal, characteristic
35D4×#117C211yesmaximal, characteristic
36C2×#544C2212yescomplemented
37C2×#533C2212yescomplemented
38C22×C4×D4C2211yescharacteristic
39C22×#117C2212yes—
40#2868C2211yescharacteristic, complemented
41#2864C2212yescomplemented
42#2862C2212yescomplemented
43#2859C2211yescharacteristic, complemented
44#2859C2211yescharacteristic, complemented
45#2859C2211yescharacteristic, complemented
46#2857C2212yescomplemented
47#2857C2212yescomplemented
48#2855C2214yescomplemented
49#2855C2214yescomplemented
50#2851C2212yescomplemented
51#2851C2212yescomplemented
52#2842C2214yes—
53#2841C2214yes—
54#2840C2214yes—
55#2807C2214yescomplemented
56#2804C2214yes—
57#2790C2214yescomplemented
58#2788C2214yescomplemented
59#2788C2214yescomplemented
60#2788C2214yescomplemented
61#2784C2214yes—
62#2780C2214yes—
63#2763C2214yescomplemented
64#2763C2214yescomplemented
65#2748C2214yes—
66#2742C2214yescomplemented
67#2742C2214yescomplemented
68#2732C2214yes—
69#2729C2214yescomplemented
70#2729C2214yescomplemented
71#2720C2214yescomplemented
72#2720C2214yescomplemented
73#2720C2214yescomplemented
74#2704C2214yescomplemented
75#2692C2214yes—
76#2692C2214yes—
77#2692C2214yes—
78#2677C2214yescomplemented
79#2666C2214yescomplemented
80#2665C2214yes—
81#2665C2214yes—
82#2665C2214yes—
83#2665C2214yescomplemented
84#2665C2214yescomplemented
85#2660C2212yescomplemented
86#2647C2212yescomplemented
87#2629C2212yes—
88#2629C2212yes—
89#2628C2212yes—
90#2628C2212yes—
91#2628C2212yescomplemented
92#2628C2212yescomplemented
93#2628C2212yescomplemented
94#2628C2212yescomplemented
95#2626C2214yes—
96#2626C2214yes—
97#2626C2214yes—
98#2626C2214yes—
99#2612C2212yescomplemented
100#2612C2212yescomplemented
101#2608C2214yes—
102#2608C2214yescomplemented
103#2607C2214yes—
104#2607C2214yescomplemented
105#2607C2214yescomplemented
106#2607C2214yescomplemented
107#2605C2214yescomplemented
108#2590C2214yescomplemented
109#2589C2214yescomplemented
110#2589C2214yescomplemented
111#2589C2214yescomplemented
112#2588C2214yescomplemented
113#2587C2214yescomplemented
114#2586C2214yescomplemented
115#2586C2214yescomplemented
116#2584C2212yescomplemented
117#2580C2212yes—
118#2580C2212yes—
119#2580C2212yes—
120#2574C2214yescomplemented
121#2574C2214yescomplemented
122#2571C2211yescharacteristic, complemented
123#2571C2211yescharacteristic, complemented
124#2571C2211yescharacteristic, complemented
125#2571C2211yescharacteristic, complemented
126#2570C2212yescomplemented
127#2570C2212yescomplemented
128#2570C2212yescomplemented
129#2567C2212yescomplemented
130#2566C2212yes—
131#2563C2212yes—
132#2563C2212yes—
133#2556C2214yescomplemented
134#2556C2214yescomplemented
135#2552C2211yescharacteristic, complemented
136#2552C2211yescharacteristic, complemented
137#2552C2211yescharacteristic, complemented
138#2552C2211yescharacteristic, complemented
139#2551C2212yescomplemented
140#2551C2211yescharacteristic, complemented
141#2551C2211yescharacteristic, complemented
142#2551C2211yescharacteristic, complemented
143#2551C2211yescharacteristic, complemented
144#2550C2212yescomplemented
145#2550C2212yescomplemented
146#2550C2212yescomplemented
147#2550C2212yescomplemented
148#2542C2212yes—
149#2538C2212yes—
150#2522C2214yescomplemented
151#2520C2214yescomplemented
152#2511C2214yescomplemented
153#2509C2212yescomplemented
154#2509C2212yescomplemented
155#2508C2212yescomplemented
156#2506C2212yescomplemented
157#2497C2214yescomplemented
158#2492C2214yescomplemented
159#2492C2214yescomplemented
160#2465C2214yescomplemented
161#2465C2214yescomplemented
162#2465C2214yescomplemented
163#2462C2214yescomplemented
164#2454C2212yes—
165#2454C2212yes—
166#2454C2212yes—
167#2452C2212yes—
168#2452C2212yes—
169#2452C2212yes—
170#2452C2212yes—
171#2452C2212yes—
172#2446C2214yescomplemented
173#2442C2212yescomplemented
174#2442C2212yescomplemented
175#2441C2211yescharacteristic
176#2441C2214yes—
177#2441C2212yes—
178#2441C2212yes—
179#2441C2211yescharacteristic
180#2441C2212yes—
181#2441C2212yes—
182#2441C2214yescomplemented
183#2441C2212yescomplemented
184#2441C2212yescomplemented
185#2441C2212yescomplemented
186#2441C2212yescomplemented
187#2440C2212yescomplemented
188#2440C2212yescomplemented
189#2439C2214yes—
190#2439C2212yes—
191#2439C2212yes—
192#2439C2212yes—
193#2439C2212yes—
194#2439C2211yescharacteristic
195#2439C2212yes—
196#2439C2212yes—
197#2439C2212yes—
198#2439C2212yes—
199#2439C2211yescharacteristic
200#2439C2214yescomplemented
201#2439C2212yescomplemented
202#2439C2212yescomplemented
203#2439C2212yescomplemented
204#2439C2212yescomplemented
205#2439C2212yescomplemented
206#2439C2212yescomplemented
207#2439C2212yescomplemented
208#2439C2212yescomplemented
209#2438C2214yescomplemented
210#2438C2214yescomplemented
211#2437C2214yes—
212#2437C2214yes—
213#2423C2214yescomplemented
214#2396C2212yes—
215#2396C2214yes—
216#2396C2212yes—
217#2396C2214yes—
218#2370C2212yescomplemented
219#2370C2212yescomplemented
220#2369C2212yescomplemented
221#2369C2212yescomplemented
222#2365C2212yescomplemented
223#2365C2212yescomplemented
224#2357C2214yes—
225#2357C2212yes—
226#2357C2211yescharacteristic
227#2357C2211yescharacteristic
228#2357C2212yes—
229#2355C2212yescomplemented
230#2355C2212yescomplemented
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2211yescharacteristic
234#2354C2211yescharacteristic
235#2354C2212yes—
236#2354C2211yescharacteristic
237#2354C2211yescharacteristic
238#2354C2212yes—
239#2353C2212yes—
240#2353C2212yes—
241#2352C2212yes—
242#2352C2212yes—
243#2349C2211yescharacteristic
244#2349C2211yescharacteristic
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2211yescharacteristic
247#2345C2211yescharacteristic
248#2345C2211yescharacteristic
249#2344C2212yes—
250#2342C2214yes—
251#2342C2212yes—
252#2342C2212yes—
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2211yescharacteristic
255D4×C22⋊C4C2211yescharacteristic
256#2331C2212yescomplemented
257#2331C2212yescomplemented
258#2331C2212yescomplemented
259#2330C2212yescomplemented
260#2329C2214yescomplemented
261#2329C2214yescomplemented
262#2317C2212yescomplemented
263#2317C2212yescomplemented
264#2316C2212yescomplemented
265#2312C2214yes—
266#2309C2212yes—
267C4×C4⋊Q8C2212yescomplemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×#125C2211yescharacteristic, complemented
271C4×#125C2212yescomplemented
272C4×#125C2211yescharacteristic, complemented
273C4×C22⋊Q8C2214yescomplemented
274C4×C22⋊Q8C2214yescomplemented
275#2296C2212yescomplemented
276#2296C2212yescomplemented
277#2293C2212yes—
278#2293C2211yescharacteristic
279#2293C2211yescharacteristic
280#2290C2214yes—
281#2290C2212yes—
282#2290C2212yes—
283#2285C2211yescharacteristic
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic
286#2285C2212yescomplemented
287#2283C2211yescharacteristic
288#2280C2212yes—
289#2280C2212yes—
290#2280C2212yes—
291#2280C2212yes—
292#2274C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#544—48no—
302#533—48no—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2314yes—
336C2×C4×Q8C2314yes—
337C2×C4×D4Q8116yescomplemented
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×#117—48no—
351C2×#117C2312yes—
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2314yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2314yes—
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C22⋊C4C2314yes—
372C22×C22⋊C4C2312yes—
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2312yes—
375C22×C42C2312yes—
376C22×C42C2314yes—
377C22×C42C2312yes—
378C22×C42C2311yescharacteristic
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2312yes—
403#399C2314yes—
404#399C2312yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2312yes—
420#398C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2312yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2312yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2312yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2312yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2312yes—
455#395C2314yes—
456#395C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2312yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2312yes—
473#393C2314yes—
474#393C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#390C2311yescharacteristic
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
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#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#384C2311yescharacteristic
664#384C2312yes—
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2314yes—
668#384C2312yes—
669#384C2312yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2312yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#383C2312yes—
679#382C2312yes—
680#382C2311yescharacteristic
681#382C2311yescharacteristic
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#381C2312yes—
698#381C2314yes—
699#381C2312yes—
700#381C2312yes—
701#381C2314yes—
702#381C2314yes—
703#380C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2312yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#379C2314yes—
733#379C2314yes—
734#379C2312yes—
735#379C2314yes—
736#379C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2311yescharacteristic
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C25C2412yes—
815C22×Q8C2414yes—
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2414yes—
821C22×D4—42no—
822C22×D4—42no—
823C22×D4C2×Q818yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C23×C4—44no—
828C23×C4—44no—
829C23×C4C2×Q8116yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C4⋊Q8—28no—
845C4⋊Q8—42no—
846C4⋊Q8—44no—
847C4⋊Q8—42no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856C4⋊Q8—48no—
857#125—24no—
858#125—24no—
859#125—44no—
860#125—44no—
861#125—44no—
862#125—44no—
863#125—44no—
864#125—44no—
865#125—48no—
866C22⋊Q8—48no—
867C22⋊Q8—48no—
868C22⋊Q8—48no—
869C22⋊Q8—48no—
870C22⋊Q8—48no—
871C22⋊Q8—48no—
872C22⋊Q8—48no—
873C22⋊Q8—48no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—48no—
877C4×Q8—48no—
878C4×D4—42no—
879C4×D4—44no—
880C4×D4—42no—
881C4×D4—42no—
882C4×D4—44no—
883C4×D4—42no—
884C4×D4C2×Q818yes—
885C4×D4C2×Q818yes—
886C4×D4C2×Q8116yes—
887C4×D4C2×Q818yes—
888C4×D4C2×Q818yes—
889C4×D4C2×Q8116yes—
890#117—24no—
891#117—28no—
892#117—44no—
893#117—44no—
894#117—44no—
895#117—48no—
896#117—48no—
897#117—42no—
898#117—42no—
899#117—44no—
900#117—44no—
901#117—44no—
902#117—44no—
903#117—44no—
904#117—42no—
905#117—44no—
906#117—44no—
907C2×C4⋊C4—28no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4C2×Q818yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4—44no—
994C2×C22⋊C4—44no—
995C2×C22⋊C4—48no—
996C2×C22⋊C4C2×Q8116yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C42—48no—
1040C2×C42—44no—
1041C2×C42—44no—
1042C2×C42C2×Q818yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2412yes—
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2412yes—
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157C24—42no—
1158C24—42no—
1159C24—42no—
1160C24—42no—
1161C24—42no—
1162C24—42no—
1163C24C22×Q818yes—
1164C24C2511yescharacteristic
1165C24C2512yes—
1166C24C2512yes—
1167C2×Q8—28no—
1168C2×Q8—24no—
1169C2×Q8—44no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8—44no—
1173C2×Q8—44no—
1174C2×Q8—42no—
1175C2×Q8—44no—
1176C2×Q8—42no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—44no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—416no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4C22×Q814yes—
1193C2×D4C22×Q814yes—
1194C2×D4C22×Q818yes—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—28no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—432no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4C22×Q814yes—
1231C22×C4C22×Q814yes—
1232C22×C4C22×Q818yes—
1233C22×C4C22×Q818yes—
1234C22×C4C22×Q814yes—
1235C22×C4C22×Q818yes—
1236C22×C4C22×Q818yes—
1237C22×C4C22×Q818yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2514yes—
1255C22×C4C2514yes—
1256C22×C4C2514yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C4⋊C4—28no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—44no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4C22×Q818yes—
1350C4⋊C4C22×Q814yes—
1351C4⋊C4C22×Q814yes—
1352C4⋊C4H(5,𝔽2)14yes—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—41no—
1369C22⋊C4—42no—
1370C22⋊C4—41no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4C22×Q818yes—
1392C22⋊C4C22×Q818yes—
1393C22⋊C4C22×Q818yes—
1394C22⋊C4C22×Q818yes—
1395C42—24no—
1396C42—22no—
1397C42—28no—
1398C42—24no—
1399C42—22no—
1400C42—22no—
1401C42—24no—
1402C42—22no—
1403C42—24no—
1404C42—24no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—24no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—24no—
1413C42—42no—
1414C42—42no—
1415C42—44no—
1416C42—44no—
1417C42—42no—
1418C42—42no—
1419C42—41no—
1420C42—41no—
1421C42—44no—
1422C42—44no—
1423C42—44no—
1424C42—42no—
1425C42—44no—
1426C42—44no—
1427C42—42no—
1428C42—42no—
1429C42C22×Q814yes—
1430C42C22×Q814yes—
1431C42C22×Q814yes—
1432C42C22×Q814yes—
1433C23—22no—
1434C23—21no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—21no—
1439C23—21no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—21no—
1444C23—21no—
1445C23—22no—
1446C23—21no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—48no—
1452C23—48no—
1453C23—48no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23C23×Q814yes—
1459C23C23×Q814yes—
1460C23C23×Q812yes—
1461C23C2611yescharacteristic
1462Q8—88no—
1463Q8—84no—
1464Q8—88no—
1465Q8—84no—
1466Q8—164no—
1467Q8—164no—
1468D4—28no—
1469D4—28no—
1470D4—48no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—28no—
1490C2×C4—28no—
1491C2×C4—216no—
1492C2×C4—216no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—48no—
1557C2×C4—48no—
1558C2×C4—48no—
1559C2×C4—44no—
1560C2×C4—88no—
1561C2×C4—84no—
1562C2×C4—84no—
1563C2×C4—84no—
1564C2×C4—88no—
1565C2×C4—84no—
1566C2×C4C23×Q812yes—
1567C2×C4C23×Q812yes—
1568C2×C4C23×Q812yes—
1569C2×C4C23×Q812yes—
1570C2×C4C23×Q814yes—
1571C2×C4C23×Q814yes—
1572C2×C4C23×Q812yes—
1573C2×C4C23×Q812yes—
1574C2×C4C2×H(5,𝔽2)14yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4#58512yes—
1577C2×C4#58512yes—
1578C2×C4#58512yes—
1579C2×C4#58512yes—
1580C2×C4#58512yes—
1581C22—22no—
1582C22—24no—
1583C22—24no—
1584C22—22no—
1585C22—24no—
1586C22—24no—
1587C22—22no—
1588C22—24no—
1589C22—24no—
1590C22—42no—
1591C22—42no—
1592C22—41no—
1593C22—42no—
1594C22—42no—
1595C22—41no—
1596C22—42no—
1597C22—42no—
1598C22—41no—
1599C22—42no—
1600C22—42no—
1601C22—41no—
1602C22—816no—
1603C22C24×Q811yescharacteristic
1604C22C22×H(5,𝔽2)11yescharacteristic
1605C22C2×#58511yescharacteristic
1606C22C2×#58511yescharacteristic
1607C22C2×#58511yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22C2×#58511yescharacteristic
1610C4—22no—
1611C4—24no—
1612C4—24no—
1613C4—24no—
1614C4—22no—
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—22no—
1619C4—41no—
1620C4—42no—
1621C4—44no—
1622C4—44no—
1623C4—41no—
1624C4—41no—
1625C4—42no—
1626C4—42no—
1627C4—41no—
1628C4—44no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—41no—
1635C4—42no—
1636C4—41no—
1637C4—42no—
1638C4—44no—
1639C4—42no—
1640C4#345814yes—
1641C4#350114yes—
1642C2—44no—
1643C2—44no—
1644C2—42no—
1645C2C2×#345811yescharacteristic
1646C2C2×#350111yescharacteristic
1647C2#6281311yescharacteristic
1648C2#6302111yescharacteristic
1649C2#6302211yescharacteristic
1650C2#6302811yescharacteristic
1651C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #40627C2semidirect
4. #40622C2semidirect
5. #39977C2semidirect
6. #39973C2semidirect
7. #39966C2semidirect
8. #39964C2semidirect
9. #39498C2semidirect
10. #39369C2semidirect
11. #38967C2semidirect
12. #38964C2semidirect
13. #38106C2semidirect
14. #38105C2semidirect
15. #37878C2semidirect
16. #37691C2semidirect
17. #37624C2semidirect
18. #37480C2semidirect
19. #36479C2semidirect
20. #36476C2semidirect
21. #36416C2semidirect
22. #36407C2semidirect
23. #36194C2semidirect
24. #36132C2semidirect
25. #35843C2semidirect
26. #35783C2semidirect
27. #35294C2semidirect
28. #35192C2semidirect
29. #35151C2semidirect
30. #35033C2semidirect
31. #34978C2semidirect
32. #34739C2semidirect
36. C2×#544C22semidirect
37. C2×#533C22semidirect
40. #2868C22semidirect
41. #2864C22semidirect
42. #2862C22semidirect
43. #2859C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
46. #2857C22semidirect
47. #2857C22semidirect
48. #2855C22semidirect
49. #2855C22semidirect
50. #2851C22semidirect
51. #2851C22semidirect
55. #2807C22semidirect
57. #2790C22semidirect
58. #2788C22semidirect
59. #2788C22semidirect
60. #2788C22semidirect
63. #2763C22semidirect
64. #2763C22semidirect
66. #2742C22semidirect
67. #2742C22semidirect
69. #2729C22semidirect
70. #2729C22semidirect
71. #2720C22semidirect
72. #2720C22semidirect
73. #2720C22semidirect
74. #2704C22semidirect
78. #2677C22semidirect
79. #2666C22semidirect
83. #2665C22semidirect
84. #2665C22semidirect
85. #2660C22semidirect
86. #2647C22semidirect
91. #2628C22semidirect
92. #2628C22semidirect
93. #2628C22semidirect
94. #2628C22semidirect
99. #2612C22semidirect
100. #2612C22semidirect
102. #2608C22semidirect
104. #2607C22semidirect
105. #2607C22semidirect
106. #2607C22semidirect
107. #2605C22semidirect
108. #2590C22semidirect
109. #2589C22semidirect
110. #2589C22semidirect
111. #2589C22semidirect
112. #2588C22semidirect
113. #2587C22semidirect
114. #2586C22semidirect
115. #2586C22semidirect
116. #2584C22semidirect
120. #2574C22semidirect
121. #2574C22semidirect
122. #2571C22semidirect
123. #2571C22semidirect
124. #2571C22semidirect
125. #2571C22semidirect
126. #2570C22semidirect
127. #2570C22semidirect
128. #2570C22semidirect
129. #2567C22semidirect
133. #2556C22semidirect
134. #2556C22semidirect
135. #2552C22semidirect
136. #2552C22semidirect
137. #2552C22semidirect
138. #2552C22semidirect
139. #2551C22semidirect
140. #2551C22semidirect
141. #2551C22semidirect
142. #2551C22semidirect
143. #2551C22semidirect
144. #2550C22semidirect
145. #2550C22semidirect
146. #2550C22semidirect
147. #2550C22semidirect
150. #2522C22semidirect
151. #2520C22semidirect
152. #2511C22semidirect
153. #2509C22semidirect
154. #2509C22semidirect
155. #2508C22semidirect
156. #2506C22semidirect
157. #2497C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
160. #2465C22semidirect
161. #2465C22semidirect
162. #2465C22semidirect
163. #2462C22semidirect
172. #2446C22semidirect
173. #2442C22semidirect
174. #2442C22semidirect
182. #2441C22semidirect
183. #2441C22semidirect
184. #2441C22semidirect
185. #2441C22semidirect
186. #2441C22semidirect
187. #2440C22semidirect
188. #2440C22semidirect
200. #2439C22semidirect
201. #2439C22semidirect
202. #2439C22semidirect
203. #2439C22semidirect
204. #2439C22semidirect
205. #2439C22semidirect
206. #2439C22semidirect
207. #2439C22semidirect
208. #2439C22semidirect
209. #2438C22semidirect
210. #2438C22semidirect
213. #2423C22semidirect
218. #2370C22semidirect
219. #2370C22semidirect
220. #2369C22semidirect
221. #2369C22semidirect
222. #2365C22semidirect
223. #2365C22semidirect
229. #2355C22semidirect
230. #2355C22semidirect
256. #2331C22semidirect
257. #2331C22semidirect
258. #2331C22semidirect
259. #2330C22semidirect
260. #2329C22semidirect
261. #2329C22semidirect
262. #2317C22semidirect
263. #2317C22semidirect
264. #2316C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×#125C22semidirect
271. C4×#125C22semidirect
272. C4×#125C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. #2296C22semidirect
276. #2296C22semidirect
286. #2285C22semidirect
337. C2×C4×D4Q8semidirect

Maximal subgroups

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

subgroupindex
#424872
#424862
#406272
#406222
#399772
#399732
#399662
#399642
#394982
#393692
#389672
#389642
#381062
#381052
#378782
#376912
#376242
#374802
#364792
#364762
#364162
#364072
#361942
#361322
#358432
#357832
#352942
#351922
#351512
#350332
#349782
#347392
#341862
#341262
D4×#1172