Finite Group Databasebeta

← #7683792

Subgroups — #7683792

Order 512.

4561 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59718C212yesmaximal, complemented
2#59583C212yesmaximal, complemented
3#59574C212yesmaximal, complemented
4#59557C212yesmaximal, complemented
5#59423C214yesmaximal
6#59333C214yesmaximal, complemented
7#59251C212yesmaximal, complemented
8#59249C212yesmaximal, complemented
9#59246C212yesmaximal, complemented
10#59242C212yesmaximal, complemented
11#45341C212yesmaximal, complemented
12#45329C212yesmaximal, complemented
13#45219C212yesmaximal, complemented
14#45218C212yesmaximal, complemented
15#45218C212yesmaximal, complemented
16#45183C212yesmaximal, complemented
17#45124C212yesmaximal, complemented
18#45014C212yesmaximal, complemented
19#43600C214yesmaximal, complemented
20#43599C214yesmaximal
21#35662C211yesmaximal, characteristic, complemented
22#35644C211yesmaximal, characteristic
23#35640C211yesmaximal, characteristic, complemented
24#35630C211yesmaximal, characteristic, complemented
25#35630C211yesmaximal, characteristic, complemented
26#35544C211yesmaximal, characteristic
27#34814C211yesmaximal, characteristic
28C2×#2489C211yesmaximal, characteristic
29#34739C211yesmaximal, characteristic
30#34271C211yesmaximal, characteristic, complemented
31#34254C211yesmaximal, characteristic, complemented
32#34217C211yesmaximal, characteristic, complemented
33#34213C211yesmaximal, characteristic, complemented
34#34203C211yesmaximal, characteristic
35#34180C211yesmaximal, characteristic
36C2×#544C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C22×#125C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C22×#117C2211yescharacteristic
42#2810C2214yescomplemented
43#2805C2214yescomplemented
44#2798C2214yes—
45#2793C2214yes—
46#2793C2214yes—
47#2789C2214yescomplemented
48#2787C2214yes—
49#2787C2214yes—
50#2783C2214yes—
51#2777C2214yes—
52#2777C2214yes—
53#2776C2214yescomplemented
54#2776C2214yescomplemented
55#2775C2214yes—
56#2767C2214yescomplemented
57#2767C2214yescomplemented
58#2767C2214yescomplemented
59#2762C2214yescomplemented
60#2762C2214yescomplemented
61#2762C2214yescomplemented
62#2759C2214yes—
63#2758C2214yescomplemented
64#2745C2214yes—
65#2689C2214yes—
66#2605C2214yescomplemented
67#2596C2214yes—
68#2594C2214yes—
69#2594C2214yes—
70#2594C2214yes—
71#2588C2214yescomplemented
72#2583C2214yes—
73#2582C2212yescomplemented
74#2582C2212yescomplemented
75#2581C2214yescomplemented
76#2581C2212yescomplemented
77#2581C2212yescomplemented
78#2577C2214yes—
79#2573C2214yes—
80#2571C2214yescomplemented
81#2570C2214yescomplemented
82#2570C2214yescomplemented
83#2561C2214yes—
84#2552C2212yescomplemented
85#2552C2212yescomplemented
86#2552C2212yescomplemented
87#2552C2212yescomplemented
88#2550C2212yescomplemented
89#2550C2212yescomplemented
90#2550C2212yescomplemented
91#2550C2212yescomplemented
92#2533C2214yescomplemented
93#2533C2214yescomplemented
94#2532C2214yes—
95#2532C2214yes—
96#2528C2214yescomplemented
97#2528C2214yescomplemented
98#2528C2214yescomplemented
99#2527C2214yes—
100#2524C2214yescomplemented
101#2524C2214yescomplemented
102#2524C2214yescomplemented
103#2523C2214yes—
104#2514C2212yescomplemented
105#2514C2212yescomplemented
106#2514C2212yescomplemented
107#2514C2212yescomplemented
108#2514C2212yescomplemented
109#2514C2212yescomplemented
110#2514C2212yescomplemented
111#2514C2212yescomplemented
112#2514C2214yescomplemented
113#2514C2214yescomplemented
114#2514C2214yescomplemented
115#2511C2212yescomplemented
116#2511C2212yescomplemented
117#2511C2212yescomplemented
118#2511C2212yescomplemented
119#2511C2212yescomplemented
120#2511C2212yescomplemented
121#2511C2212yescomplemented
122#2511C2212yescomplemented
123#2509C2214yescomplemented
124#2503C2214yes—
125#2502C2214yes—
126#2499C2214yes—
127#2497C2212yes—
128#2497C2211yescharacteristic
129#2497C2211yescharacteristic
130#2497C2212yes—
131#2496C2211yescharacteristic
132#2496C2214yes—
133#2496C2212yes—
134#2496C2212yes—
135#2496C2211yescharacteristic
136#2495C2211yescharacteristic
137#2495C2211yescharacteristic
138#2495C2212yes—
139#2495C2212yes—
140#2494C2212yes—
141#2494C2212yes—
142#2494C2211yescharacteristic
143#2494C2211yescharacteristic
144#2493C2214yes—
145#2493C2214yes—
146#2493C2214yes—
147#2493C2214yes—
148#2493C2212yes—
149#2493C2214yes—
150#2493C2212yes—
151#2492C2212yes—
152#2492C2212yes—
153#2492C2212yes—
154#2492C2212yes—
155#2489C2212yes—
156#2489C2212yes—
157#2489C2212yes—
158#2489C2212yes—
159#2489C2212yes—
160#2489C2212yes—
161#2489C2212yes—
162#2489C2212yes—
163#2489C2212yes—
164#2489C2212yes—
165#2489C2212yes—
166#2489C2212yes—
167#2480C2212yes—
168#2480C2214yes—
169#2480C2212yes—
170#2478C2214yes—
171#2478C2214yes—
172#2469C2214yes—
173#2469C2214yes—
174#2465C2214yes—
175#2453C2212yescomplemented
176#2453C2212yescomplemented
177#2451C2212yescomplemented
178#2451C2212yescomplemented
179#2442C2211yescharacteristic
180#2442C2211yescharacteristic
181#2441C2211yescharacteristic
182#2441C2211yescharacteristic
183#2440C2211yescharacteristic
184#2440C2211yescharacteristic
185#2439C2211yescharacteristic
186#2439C2211yescharacteristic
187#2438C2214yes—
188#2438C2214yes—
189#2438C2212yes—
190#2438C2212yes—
191#2437C2212yes—
192#2437C2212yes—
193#2421C2214yes—
194#2401C2212yes—
195#2401C2212yes—
196#2396C2212yes—
197#2396C2212yes—
198C2×#400C2212yes—
199C2×#397C2212yes—
200#2373C2214yes—
201#2370C2212yescomplemented
202#2370C2212yescomplemented
203#2370C2212yescomplemented
204#2370C2212yescomplemented
205#2370C2212yescomplemented
206#2370C2212yescomplemented
207#2370C2212yescomplemented
208#2370C2212yescomplemented
209#2370C2212yescomplemented
210#2370C2212yescomplemented
211#2369C2212yescomplemented
212#2369C2212yescomplemented
213#2369C2212yescomplemented
214#2365C2212yescomplemented
215#2365C2212yescomplemented
216#2365C2212yescomplemented
217#2362C2212yes—
218#2362C2212yes—
219#2360C2212yes—
220#2360C2212yes—
221#2356C2212yescomplemented
222#2356C2212yescomplemented
223#2356C2214yescomplemented
224#2355C2212yescomplemented
225#2355C2212yescomplemented
226#2355C2212yescomplemented
227#2355C2212yescomplemented
228#2355C2214yescomplemented
229#2355C2212yescomplemented
230Q8×C4⋊C4C2212yescomplemented
231#2347C2214yes—
232#2347C2212yes—
233#2346C2212yes—
234#2345C2212yes—
235#2345C2214yes—
236#2345C2214yes—
237#2344C2214yes—
238#2344C2212yes—
239#2343C2214yes—
240#2343C2214yes—
241#2343C2214yes—
242#2342C2214yes—
243#2342C2214yes—
244#2330C2212yescomplemented
245#2330C2212yescomplemented
246#2329C2214yes—
247#2329C2214yes—
248#2323C2212yes—
249#2323C2212yes—
250#2320C2212yescomplemented
251#2320C2212yescomplemented
252#2317C2211yescharacteristic
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2316C2211yescharacteristic
257#2316C2211yescharacteristic
258#2314C2212yes—
259#2314C2212yes—
260#2310C2211yescharacteristic
261#2310C2211yescharacteristic
262#2310C2211yescharacteristic
263C4×#125C2212yescomplemented
264C4×#125C2212yescomplemented
265C4×#126C2212yes—
266C4×#126C2212yes—
267C4×C22⋊Q8C2214yes—
268C4×C22⋊Q8C2214yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273#2296C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277#2295C2212yescomplemented
278#2295C2212yescomplemented
279C2×#391C2211yescharacteristic
280C2×#391C2211yescharacteristic
281C2×#388C2212yes—
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic
284#2285C2212yes—
285#2283C2212yes—
286C2×#382C2212yes—
287#2280C2211yescharacteristic
288#2280C2211yescharacteristic
289#2280C2211yescharacteristic
290C2×#380C2211yescharacteristic
291#2274C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300C24×C4C2311yescharacteristic
301#544—28no—
302#533—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#125—28no—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×C22⋊Q8—28no—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329#519—28no—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2314yes—
337C2×C4×Q8C2314yes—
338C2×#117—28no—
339C2×#117C2311yescharacteristic
340C2×#117C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C2×#117C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C2×#117C2312yes—
346C2×#117C2311yescharacteristic
347C2×#117C2314yes—
348C2×#117C2312yes—
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2314yes—
352C2×#117C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2312yes—
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2311yescharacteristic
361C22×C22⋊C4C2312yes—
362C22×C22⋊C4C2312yes—
363C22×C22⋊C4C2312yes—
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C42C2312yes—
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2312yes—
370#401C2314yes—
371#401C2314yes—
372#401C2314yes—
373#401C2312yes—
374#401C2312yes—
375#401C2314yes—
376#401C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#399C2312yes—
411#399C2312yes—
412#398C2312yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2314yes—
441#396C2312yes—
442#396C2312yes—
443#396C2312yes—
444#396C2312yes—
445#396C2312yes—
446#396C2312yes—
447#396C2314yes—
448#395C2312yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2312yes—
454#393C2314yes—
455#393C2314yes—
456#393C2312yes—
457#393C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2312yes—
501#389C2314yes—
502#389C2314yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
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#387C2314yes—
617#387C2314yes—
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#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2314yes—
640#385C2312yes—
641#385C2312yes—
642#385C2312yes—
643#385C2312yes—
644#385C2314yes—
645#385C2312yes—
646#385C2312yes—
647#385C2312yes—
648#385C2312yes—
649#385C2312yes—
650#385C2312yes—
651#385C2312yes—
652#384C2312yes—
653#384C2312yes—
654#384C2314yes—
655#384C2314yes—
656#384C2312yes—
657#384C2312yes—
658#384C2311yescharacteristic
659#384C2311yescharacteristic
660#384C2311yescharacteristic
661#384C2311yescharacteristic
662#383C2312yes—
663#383C2312yes—
664#383C2314yes—
665#383C2314yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2314yes—
670#383C2314yes—
671#383C2314yes—
672#382C2311yescharacteristic
673#382C2311yescharacteristic
674#382C2312yes—
675#382C2312yes—
676#382C2314yes—
677#382C2314yes—
678#382C2314yes—
679#382C2314yes—
680#382C2314yes—
681#382C2314yes—
682#382C2314yes—
683#382C2312yes—
684#382C2312yes—
685#382C2314yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#382C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2314yes—
692#381C2314yes—
693#381C2312yes—
694#381C2312yes—
695#381C2312yes—
696#380C2312yes—
697#380C2311yescharacteristic
698#380C2311yescharacteristic
699#380C2314yes—
700#380C2314yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2314yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#379C2312yes—
722#379C2312yes—
723#379C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2311yescharacteristic
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C43C2312yes—
816C25C2411yescharacteristic
817C22×Q8—24no—
818C22×Q8—24no—
819C22×Q8—24no—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C23×C4—24no—
826C23×C4—24no—
827C23×C4—24no—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C4⋊Q8—24no—
845C4⋊Q8—24no—
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848#126—48no—
849#126—44no—
850#126—44no—
851#125—28no—
852#125—28no—
853#125—28no—
854#125—28no—
855#125—24no—
856#125—24no—
857#125—28no—
858#125—28no—
859C22⋊Q8—216no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—28no—
865C22⋊Q8—28no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—48no—
875C4×Q8—48no—
876#117—24no—
877#117—24no—
878#117—24no—
879#117—24no—
880#117—24no—
881#117—24no—
882#117—24no—
883#117—24no—
884#117—24no—
885#117—28no—
886#117—216no—
887#117—28no—
888#117—48no—
889#117#4118yes—
890C2×C4⋊C4—28no—
891C2×C4⋊C4—28no—
892C2×C4⋊C4—28no—
893C2×C4⋊C4—24no—
894C2×C4⋊C4—24no—
895C2×C4⋊C4—24no—
896C2×C4⋊C4—24no—
897C2×C4⋊C4#4118yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C22⋊C4—28no—
976C2×C22⋊C4—28no—
977C2×C22⋊C4—42no—
978C2×C22⋊C4—44no—
979C2×C22⋊C4—42no—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C42—24no—
1015C2×C42—24no—
1016C2×C42—28no—
1017C2×C42—44no—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2414yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148C24—22no—
1149C24—22no—
1150C24—22no—
1151C24—22no—
1152C24—41no—
1153C24—41no—
1154C24—41no—
1155C24C2511yescharacteristic
1156C24C2511yescharacteristic
1157C24C2511yescharacteristic
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—28no—
1165C2×Q8—24no—
1166C2×Q8—24no—
1167C2×Q8—24no—
1168C2×Q8—42no—
1169C2×Q8—44no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8—44no—
1173C2×Q8—416no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—24no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—42no—
1211C22×C4—41no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—42no—
1217C22×C4—41no—
1218C22×C4—416no—
1219C22×C4C2×#4118yes—
1220C22×C4C2×#4114yes—
1221C22×C4C2×#4114yes—
1222C22×C42−1+414yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2514yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4C2×#4114yes—
1329C4⋊C4C2×#4114yes—
1330C4⋊C4C2×#4118yes—
1331C4⋊C4C2×#4118yes—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—44no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4C2×#4118yes—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—24no—
1378C42—28no—
1379C42—28no—
1380C42—24no—
1381C42—24no—
1382C42—24no—
1383C42—24no—
1384C42—24no—
1385C42—28no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—42no—
1390C42—42no—
1391C42—44no—
1392C42—44no—
1393C42—44no—
1394C42—44no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C42—42no—
1399C42—44no—
1400C42—42no—
1401C42C2×#4118yes—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—82no—
1424C23—82no—
1425C23—82no—
1426C23C22×#4112yes—
1427C23C22×#4112yes—
1428C23C2×2−1+412yes—
1429C23#58512yes—
1430C23C2611yescharacteristic
1431Q8—48no—
1432Q8—48no—
1433Q8—48no—
1434Q8—88no—
1435Q8—84no—
1436C2×C4—21no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—48no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—84no—
1532C2×C4—82no—
1533C2×C4—82no—
1534C2×C4—82no—
1535C2×C4—84no—
1536C2×C4—84no—
1537C2×C4#556116yes—
1538C2×C4C22×#4114yes—
1539C2×C4C22×#4114yes—
1540C2×C4C22×#4118yes—
1541C2×C4C22×#4112yes—
1542C2×C4C22×#4112yes—
1543C2×C4C22×#4112yes—
1544C2×C4C22×#4112yes—
1545C2×C4C2×2−1+412yes—
1546C2×C4C2×2−1+412yes—
1547C2×C4#58512yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—88no—
1569C22C2×#55614yes—
1570C22C23×#4111yescharacteristic
1571C22C23×#4111yescharacteristic
1572C22C22×2−1+411yescharacteristic
1573C22C2×#58511yescharacteristic
1574C22C2×#58511yescharacteristic
1575C222−1+611yescharacteristic
1576C222−1+611yescharacteristic
1577C4—28no—
1578C4—24no—
1579C4—22no—
1580C4—24no—
1581C4—41no—
1582C4—41no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—42no—
1587C4—41no—
1588C4—42no—
1589C4—42no—
1590C4—41no—
1591C4—41no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—41no—
1597C4—41no—
1598C4—44no—
1599C4—42no—
1600C4—42no—
1601C4—44no—
1602C4—42no—
1603C4—42no—
1604C4—41no—
1605C4—41no—
1606C4—44no—
1607C4C2×#55614yes—
1608C4C2×#55614yes—
1609C2—24no—
1610C2—42no—
1611C2—81no—
1612C2C22×#55611yescharacteristic
1613C2#6283111yescharacteristic
1614C2#6288911yescharacteristic
1615C2#6299111yescharacteristic
1616C2#6299311yescharacteristic
1617C2#6299311yescharacteristic
1618C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC25C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59718C2semidirect
2. #59583C2semidirect
3. #59574C2semidirect
4. #59557C2semidirect
6. #59333C2semidirect
7. #59251C2semidirect
8. #59249C2semidirect
9. #59246C2semidirect
10. #59242C2semidirect
11. #45341C2semidirect
12. #45329C2semidirect
13. #45219C2semidirect
14. #45218C2semidirect
15. #45218C2semidirect
16. #45183C2semidirect
17. #45124C2semidirect
18. #45014C2semidirect
19. #43600C2semidirect
21. #35662C2semidirect
23. #35640C2semidirect
24. #35630C2semidirect
25. #35630C2semidirect
30. #34271C2semidirect
31. #34254C2semidirect
32. #34217C2semidirect
33. #34213C2semidirect
42. #2810C22semidirect
43. #2805C22semidirect
47. #2789C22semidirect
53. #2776C22semidirect
54. #2776C22semidirect
56. #2767C22semidirect
57. #2767C22semidirect
58. #2767C22semidirect
59. #2762C22semidirect
60. #2762C22semidirect
61. #2762C22semidirect
63. #2758C22semidirect
66. #2605C22semidirect
71. #2588C22semidirect
73. #2582C22semidirect
74. #2582C22semidirect
75. #2581C22semidirect
76. #2581C22semidirect
77. #2581C22semidirect
80. #2571C22semidirect
81. #2570C22semidirect
82. #2570C22semidirect
84. #2552C22semidirect
85. #2552C22semidirect
86. #2552C22semidirect
87. #2552C22semidirect
88. #2550C22semidirect
89. #2550C22semidirect
90. #2550C22semidirect
91. #2550C22semidirect
92. #2533C22semidirect
93. #2533C22semidirect
96. #2528C22semidirect
97. #2528C22semidirect
98. #2528C22semidirect
100. #2524C22semidirect
101. #2524C22semidirect
102. #2524C22semidirect
104. #2514C22semidirect
105. #2514C22semidirect
106. #2514C22semidirect
107. #2514C22semidirect
108. #2514C22semidirect
109. #2514C22semidirect
110. #2514C22semidirect
111. #2514C22semidirect
112. #2514C22semidirect
113. #2514C22semidirect
114. #2514C22semidirect
115. #2511C22semidirect
116. #2511C22semidirect
117. #2511C22semidirect
118. #2511C22semidirect
119. #2511C22semidirect
120. #2511C22semidirect
121. #2511C22semidirect
122. #2511C22semidirect
123. #2509C22semidirect
175. #2453C22semidirect
176. #2453C22semidirect
177. #2451C22semidirect
178. #2451C22semidirect
201. #2370C22semidirect
202. #2370C22semidirect
203. #2370C22semidirect
204. #2370C22semidirect
205. #2370C22semidirect
206. #2370C22semidirect
207. #2370C22semidirect
208. #2370C22semidirect
209. #2370C22semidirect
210. #2370C22semidirect
211. #2369C22semidirect
212. #2369C22semidirect
213. #2369C22semidirect
214. #2365C22semidirect
215. #2365C22semidirect
216. #2365C22semidirect
221. #2356C22semidirect
222. #2356C22semidirect
223. #2356C22semidirect
224. #2355C22semidirect
225. #2355C22semidirect
226. #2355C22semidirect
227. #2355C22semidirect
228. #2355C22semidirect
229. #2355C22semidirect
230. Q8×C4⋊C4C22semidirect
244. #2330C22semidirect
245. #2330C22semidirect
250. #2320C22semidirect
251. #2320C22semidirect
263. C4×#125C22semidirect
264. C4×#125C22semidirect
277. #2295C22semidirect
278. #2295C22semidirect

Maximal subgroups

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

subgroupindex
#597182
#595832
#595742
#595572
#594232
#593332
#592512
#592492
#592462
#592422
#453412
#453292
#452192
#452182
#451832
#451242
#450142
#436002
#435992
#356622
#356442
#356402
#356302
#355442
#348142
C2×#24892
#347392
#342712
#342542
#342172
#342132
#342032
#341802