Finite Group Databasebeta

← #7631659

Subgroups — #7631659

Order 512.

5038 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36590C211yesmaximal, characteristic, complemented
2#36586C211yesmaximal, characteristic, complemented
3#36313C211yesmaximal, characteristic, complemented
4#36307C212yesmaximal, complemented
5#36306C212yesmaximal, complemented
6#36304C212yesmaximal, complemented
7#36303C211yesmaximal, characteristic, complemented
8#36274C211yesmaximal, characteristic, complemented
9#36259C211yesmaximal, characteristic
10#36177C211yesmaximal, characteristic, complemented
11#36172C212yesmaximal, complemented
12#36165C211yesmaximal, characteristic, complemented
13#36068C214yesmaximal, complemented
14#36067C212yesmaximal, complemented
15#36054C214yesmaximal, complemented
16#36053C212yesmaximal, complemented
17#35901C212yesmaximal, complemented
18#35804C212yesmaximal, complemented
19#35648C212yesmaximal, complemented
20#35646C212yesmaximal, complemented
21#35460C214yesmaximal, complemented
22#35458C214yesmaximal, complemented
23#35291C211yesmaximal, characteristic, complemented
24#35187C211yesmaximal, characteristic, complemented
25#35030C212yesmaximal, complemented
26#35024C212yesmaximal, complemented
27#34945C211yesmaximal, characteristic, complemented
28#34913C211yesmaximal, characteristic, complemented
29#34780C212yesmaximal, complemented
30C2×#2514C212yesmaximal, complemented
31#34334C211yesmaximal, characteristic, complemented
32#34289C212yesmaximal, complemented
33#34195C212yesmaximal, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35C4×#520C211yesmaximal, characteristic, complemented
36C2×D4×Q8C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#547C2212yes—
39C2×#520C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×C4×#41C2212yes—
42C2×C4×#41C2211yescharacteristic
43#2864C2212yes—
44#2863C2212yes—
45#2863C2212yes—
46#2862C2211yescharacteristic
47#2861C2212yes—
48#2859C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2855C2212yes—
52#2855C2212yes—
53#2854C2212yes—
54#2851C2212yes—
55#2850C2212yes—
56#2850C2212yes—
57#2655C2214yes—
58#2653C2214yes—
59#2650C2214yes—
60#2645C2212yes—
61#2643C2214yes—
62#2625C2212yes—
63#2623C2214yes—
64#2596C2214yes—
65#2596C2214yes—
66#2594C2214yes—
67#2594C2214yes—
68#2590C2214yes—
69#2589C2214yes—
70#2588C2214yes—
71#2582C2211yescharacteristic
72#2578C2212yes—
73#2577C2214yes—
74#2577C2212yes—
75#2576C2214yes—
76#2576C2212yes—
77#2575C2214yes—
78#2575C2212yes—
79#2574C2214yes—
80#2573C2214yes—
81#2572C2214yes—
82#2571C2211yescharacteristic
83#2571C2211yescharacteristic
84#2568C2211yescharacteristic
85#2568C2211yescharacteristic
86#2547C2211yescharacteristic
87#2546C2211yescharacteristic
88#2538C2211yescharacteristic
89#2533C2214yes—
90#2533C2214yes—
91#2533C2214yes—
92#2532C2214yes—
93#2532C2214yes—
94#2529C2214yes—
95#2528C2214yes—
96#2528C2214yes—
97#2527C2214yes—
98#2527C2214yes—
99#2525C2214yes—
100#2524C2214yes—
101#2524C2214yes—
102#2524C2214yes—
103#2523C2214yes—
104#2520C2214yes—
105#2518C2214yes—
106#2515C2214yes—
107#2515C2214yes—
108#2514C2214yes—
109#2514C2212yes—
110#2514C2214yes—
111#2514C2214yes—
112#2514C2212yes—
113#2514C2212yes—
114#2514C2212yes—
115#2514C2211yescharacteristic
116#2514C2212yes—
117#2514C2212yes—
118#2514C2212yes—
119#2514C2212yes—
120#2514C2212yes—
121#2514C2212yes—
122#2514C2214yes—
123#2513C2212yes—
124#2510C2214yes—
125#2510C2214yes—
126#2510C2214yes—
127#2510C2214yes—
128#2509C2212yes—
129#2509C2212yes—
130#2508C2212yes—
131#2508C2212yes—
132#2508C2211yescharacteristic
133#2508C2212yes—
134#2508C2212yes—
135#2505C2214yes—
136#2505C2214yes—
137#2503C2212yes—
138#2503C2212yes—
139#2498C2214yes—
140#2495C2211yescharacteristic
141#2495C2212yes—
142#2494C2212yes—
143#2494C2212yes—
144#2494C2212yes—
145#2494C2212yes—
146#2493C2214yes—
147#2493C2214yes—
148#2493C2214yes—
149#2493C2214yes—
150#2492C2212yes—
151#2492C2212yes—
152#2489C2211yescharacteristic
153#2489C2212yes—
154#2488C2214yes—
155#2488C2214yes—
156#2487C2212yes—
157#2486C2212yes—
158#2484C2214yes—
159#2454C2211yescharacteristic
160#2453C2212yes—
161#2453C2212yes—
162#2451C2212yes—
163#2450C2214yes—
164#2448C2212yes—
165#2447C2211yescharacteristic
166#2447C2212yes—
167#2446C2212yes—
168#2446C2212yes—
169#2444C2214yes—
170#2444C2214yes—
171#2442C2212yes—
172#2442C2212yes—
173#2439C2212yes—
174#2438C2214yes—
175#2436C2212yes—
176#2429C2212yes—
177#2427C2211yescharacteristic
178#2425C2214yes—
179#2421C2212yes—
180#2421C2212yes—
181#2421C2212yes—
182#2420C2211yescharacteristic
183#2419C2214yes—
184#2419C2214yes—
185#2417C2212yes—
186#2416C2212yes—
187#2415C2212yes—
188#2413C2214yes—
189#2409C2212yes—
190#2402C2214yes—
191#2401C2212yes—
192#2401C2214yes—
193#2401C2214yes—
194C2×#401C2214yes—
195#2395C2212yes—
196C2×#400C2214yes—
197#2369C2212yes—
198#2368C2214yes—
199#2365C2211yescharacteristic
200#2365C2212yes—
201#2365C2211yescharacteristic
202#2364C2214yes—
203#2362C2212yes—
204#2362C2212yes—
205#2361C2212yes—
206#2360C2212yes—
207#2360C2212yes—
208#2359C2214yes—
209#2359C2214yes—
210#2359C2214yes—
211#2356C2212yes—
212#2356C2212yes—
213#2355C2211yescharacteristic
214#2354C2211yescharacteristic
215#2353C2214yes—
216#2353C2214yes—
217#2352C2212yes—
218#2349C2212yes—
219#2349C2212yes—
220#2349C2212yes—
221#2349C2212yes—
222D4×C4⋊C4C2211yescharacteristic
223D4×C4⋊C4C2211yescharacteristic
224#2347C2212yes—
225#2347C2212yes—
226#2344C2212yes—
227#2344C2214yes—
228#2343C2214yes—
229#2343C2214yes—
230Q8×C22⋊C4C2212yes—
231#2339C2212yes—
232#2339C2212yes—
233#2339C2212yes—
234#2339C2212yes—
235#2339C2212yes—
236#2331C2212yes—
237#2329C2214yes—
238#2327C2212yes—
239#2325C2214yes—
240#2323C2212yes—
241#2322C2214yes—
242#2320C2212yes—
243#2320C2212yes—
244#2318C2214yes—
245#2318C2214yes—
246C4×C4⋊Q8C2211yescharacteristic
247C4×C4⋊Q8C2211yescharacteristic
248C4×#125C2211yescharacteristic
249C4×#125C2212yes—
250C4×#124C2212yes—
251C4×#124C2211yescharacteristic
252C4×C22⋊Q8C2212yes—
253C4×C22⋊Q8C2212yes—
254C4×C22⋊Q8C2212yes—
255C4×C22⋊Q8C2211yescharacteristic
256C4×C22⋊Q8C2212yes—
257C4×#123C2214yes—
258C4×#123C2214yes—
259C4×#121C2211yescharacteristic
260C4×#121C2212yes—
261#2295C2211yescharacteristic
262#2295C2212yes—
263#2295C2212yes—
264C2×#391C2212yes—
265C2×#391C2212yes—
266C2×#391C2212yes—
267C2×#389C2212yes—
268#2290C2212yes—
269C2×#387C2214yes—
270#2283C2212yes—
271#2283C2212yes—
272#2283C2212yes—
273#2283C2214yes—
274C2×#383C2214yes—
275C2×#382C2212yes—
276#2276C2211yescharacteristic
277#2276C2211yescharacteristic
278#2275C2212yes—
279#2275C2212yes—
280#2275C2211yescharacteristic
281#2275C2211yescharacteristic
282#2275C2212yes—
283#2274C2211yescharacteristic
284#2274C2212yes—
285#2274C2211yescharacteristic
286#2274C2212yes—
287C42×Q8C2211yescharacteristic
288C42×Q8C2211yescharacteristic
289C42×D4C2211yescharacteristic
290C42×D4C2211yescharacteristic
291C42×D4C2212yes—
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C4×#117C2211yescharacteristic
295C4×#117C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C23×Q8C2312yes—
302D4×Q8—28no—
303#547—216no—
304#547—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#124C2312yes—
312C2×#124C2311yescharacteristic
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2311yescharacteristic
326#520—28no—
327#520—28no—
328C4×#41—216no—
329C4×#41—28no—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2314yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2314yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C42C2312yes—
379C22×C42C2311yescharacteristic
380C22×C42C2314yes—
381C22×C42C2312yes—
382C22×C42C2312yes—
383C22×C42C2312yes—
384C22×C42C2312yes—
385#401C2312yes—
386#401C2314yes—
387#401C2314yes—
388#401C2314yes—
389#401C2314yes—
390#401C2314yes—
391#401C2314yes—
392#401C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#399C2314yes—
420#399C2312yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#395C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2312yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2314yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2314yes—
487#391C2314yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#390C2311yescharacteristic
491#390C2312yes—
492#390C2311yescharacteristic
493#390C2312yes—
494#389C2312yes—
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2312yes—
546#388C2314yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#387C2312yes—
558#387C2312yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2312yes—
572#387C2314yes—
573#387C2312yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2312yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2312yes—
585#387C2314yes—
586#387C2314yes—
587#387C2312yes—
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#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2312yes—
613#386C2312yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2312yes—
627#385C2312yes—
628#385C2312yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#384C2311yescharacteristic
639#384C2311yescharacteristic
640#383C2314yes—
641#383C2314yes—
642#383C2314yes—
643#383C2314yes—
644#383C2312yes—
645#383C2312yes—
646#383C2314yes—
647#383C2314yes—
648#383C2314yes—
649#383C2314yes—
650#383C2314yes—
651#383C2314yes—
652#382C2311yescharacteristic
653#382C2311yescharacteristic
654#382C2312yes—
655#382C2312yes—
656#382C2312yes—
657#382C2312yes—
658#382C2312yes—
659#382C2312yes—
660#382C2314yes—
661#382C2314yes—
662#382C2312yes—
663#382C2312yes—
664#382C2314yes—
665#382C2312yes—
666#382C2312yes—
667#382C2312yes—
668#382C2312yes—
669#382C2314yes—
670#381C2314yes—
671#381C2314yes—
672#381C2312yes—
673#381C2312yes—
674#381C2314yes—
675#381C2314yes—
676#381C2314yes—
677#381C2314yes—
678#381C2314yes—
679#381C2314yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2314yes—
684#380C2314yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2314yes—
695#380C2314yes—
696#380C2311yescharacteristic
697#380C2311yescharacteristic
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C22⋊C4C2312yes—
758C4×C22⋊C4C2314yes—
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2312yes—
761C4×C22⋊C4C2314yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2311yescharacteristic
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2311yescharacteristic
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792#376C2311yescharacteristic
793#376C2312yes—
794#376C2314yes—
795#376C2314yes—
796#376C2314yes—
797#376C2311yescharacteristic
798#376C2312yes—
799#376C2312yes—
800C2×#95C2312yes—
801C2×#95C2314yes—
802C2×#95C2314yes—
803C2×#95C2314yes—
804C2×#95C2314yes—
805C2×#95C2314yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2312yes—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41#4118yes—
823C22×Q8—28no—
824C22×Q8—44no—
825C22×Q8—44no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2412yes—
855C4⋊Q8—28no—
856C4⋊Q8—28no—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859#125—42no—
860#125—44no—
861#124—44no—
862#124—42no—
863#123—216no—
864#123—216no—
865#123—216no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—216no—
871C22⋊Q8—44no—
872C22⋊Q8—42no—
873#121—216no—
874#121—28no—
875#121—42no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—28no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×D4—28no—
888C4×D4—24no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—24no—
892C4×D4—24no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—216no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—216no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—42no—
905C4×D4—42no—
906C4×D4#4118yes—
907C4×D4#4118yes—
908#117—28no—
909#117—24no—
910#117—28no—
911#117—24no—
912#117—216no—
913#117—28no—
914#117—28no—
915#117—24no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—216no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C42—28no—
1023C2×C42—216no—
1024C2×C42—28no—
1025C2×C42—24no—
1026C2×C42—44no—
1027C2×C42—44no—
1028C2×C42—44no—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2412yes—
1077#95C2411yescharacteristic
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2412yes—
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165C24C2512yes—
1166C24C2511yescharacteristic
1167C24C2512yes—
1168#41—232no—
1169#41—432no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—28no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—816no—
1185C2×Q8C2×#4114yes—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—28no—
1189C2×D4—28no—
1190C2×D4—28no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4C2×#4118yes—
1198C2×D4C2×#4114yes—
1199C2×D4C2×#4114yes—
1200C2×D4C2×#4114yes—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—28no—
1208C22×C4—28no—
1209C22×C4—28no—
1210C22×C4—28no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—28no—
1217C22×C4—28no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4C2×#4118yes—
1255C22×C4C2×#4118yes—
1256C22×C4C2×#4114yes—
1257C22×C4C2×#4118yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4C2×#4114yes—
1351C4⋊C4C2×#4114yes—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—22no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—22no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4C2×#4118yes—
1387C22⋊C4C2×#4118yes—
1388C42—22no—
1389C42—24no—
1390C42—24no—
1391C42—22no—
1392C42—28no—
1393C42—24no—
1394C42—24no—
1395C42—24no—
1396C42—22no—
1397C42—24no—
1398C42—28no—
1399C42—28no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—24no—
1409C42—22no—
1410C42—24no—
1411C42—24no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—42no—
1416C42—42no—
1417C42—42no—
1418C42—42no—
1419C42—42no—
1420C42—42no—
1421C42—41no—
1422C42—42no—
1423C42—44no—
1424C42—42no—
1425C42—41no—
1426C42—41no—
1427C42—41no—
1428C42—42no—
1429C42—42no—
1430C42—44no—
1431C42—44no—
1432C42C2×#4114yes—
1433C42C2×#4114yes—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23C22×#4112yes—
1452C23C22×#4114yes—
1453C23C22×#4114yes—
1454C23C22×#4114yes—
1455C23C2611yescharacteristic
1456Q8—28no—
1457Q8—48no—
1458Q8—48no—
1459Q8—44no—
1460Q8—88no—
1461D4—216no—
1462D4—416no—
1463D4—44no—
1464D4—84no—
1465D4#529116yes—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—216no—
1481C2×C4—28no—
1482C2×C4—216no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—48no—
1553C2×C4—416no—
1554C2×C4—48no—
1555C2×C4—44no—
1556C2×C4—84no—
1557C2×C4—84no—
1558C2×C4—84no—
1559C2×C4—82no—
1560C2×C4—84no—
1561C2×C4—84no—
1562C2×C4—84no—
1563C2×C4—84no—
1564C2×C4—88no—
1565C2×C4—88no—
1566C2×C4—84no—
1567C2×C4—88no—
1568C2×C4C22×#4112yes—
1569C2×C4C22×#4114yes—
1570C2×C4C22×#4112yes—
1571C2×C4C22×#4114yes—
1572C2×C4C22×#4114yes—
1573C2×C4C22×#4112yes—
1574C2×C4C22×#4112yes—
1575C2×C4C22×#4112yes—
1576C2×C4C22×#4112yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4#58512yes—
1580C2×C4#58512yes—
1581C22—24no—
1582C22—24no—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—24no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22C2×#52918yes—
1602C22C23×#4111yescharacteristic
1603C22C23×#4111yescharacteristic
1604C22C23×#4111yescharacteristic
1605C22C2×#58511yescharacteristic
1606C22C2×#58511yescharacteristic
1607C222−1+611yescharacteristic
1608C222−1+611yescharacteristic
1609C4—22no—
1610C4—24no—
1611C4—22no—
1612C4—24no—
1613C4—22no—
1614C4—22no—
1615C4—24no—
1616C4—42no—
1617C4—42no—
1618C4—41no—
1619C4—42no—
1620C4—41no—
1621C4—42no—
1622C4—42no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—44no—
1628C4—44no—
1629C4—42no—
1630C4—42no—
1631C4—41no—
1632C4—42no—
1633C4—44no—
1634C4—42no—
1635C4—42no—
1636C4—41no—
1637C4—42no—
1638C4—44no—
1639C4C2×#52914yes—
1640C4#352114yes—
1641C2—28no—
1642C2—42no—
1643C2—82no—
1644C2C22×#52911yescharacteristic
1645C2C2×#352111yescharacteristic
1646C2#6286111yescharacteristic
1647C2#6299111yescharacteristic
1648C2#6299511yescharacteristic
1649C2#6300911yescharacteristic
1650C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36259C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36590C2semidirect
2. #36586C2semidirect
3. #36313C2semidirect
4. #36307C2semidirect
5. #36306C2semidirect
6. #36304C2semidirect
7. #36303C2semidirect
8. #36274C2semidirect
10. #36177C2semidirect
11. #36172C2semidirect
12. #36165C2semidirect
13. #36068C2semidirect
14. #36067C2semidirect
15. #36054C2semidirect
16. #36053C2semidirect
17. #35901C2semidirect
18. #35804C2semidirect
19. #35648C2semidirect
20. #35646C2semidirect
21. #35460C2semidirect
22. #35458C2semidirect
23. #35291C2semidirect
24. #35187C2semidirect
25. #35030C2semidirect
26. #35024C2semidirect
27. #34945C2semidirect
28. #34913C2semidirect
29. #34780C2semidirect
30. C2×#2514C2semidirect
31. #34334C2semidirect
32. #34289C2semidirect
33. #34195C2semidirect
34. C4×#547C2semidirect
35. C4×#520C2semidirect

Maximal subgroups

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

subgroupindex
#365902
#365862
#363132
#363072
#363062
#363042
#363032
#362742
#362592
#361772
#361722
#361652
#360682
#360672
#360542
#360532
#359012
#358042
#356482
#356462
#354602
#354582
#352912
#351872
#350302
#350242
#349452
#349132
#347802
C2×#25142
#343342
#342892
#341952
C4×#5472
C4×#5202