Finite Group Databasebeta

← #7631657

Subgroups — #7631657

Order 512.

5224 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36464C211yesmaximal, characteristic, complemented
2#36459C211yesmaximal, characteristic, complemented
3#36314C211yesmaximal, characteristic, complemented
4#36305C212yesmaximal, complemented
5#36290C211yesmaximal, characteristic, complemented
6#36175C211yesmaximal, characteristic, complemented
7#36171C212yesmaximal, complemented
8#36168C212yesmaximal, complemented
9#36167C212yesmaximal, complemented
10#36164C211yesmaximal, characteristic, complemented
11#36154C211yesmaximal, characteristic, complemented
12#36153C211yesmaximal, characteristic
13#36069C212yesmaximal, complemented
14#36055C212yesmaximal, complemented
15#35892C214yesmaximal, complemented
16#35888C212yesmaximal, complemented
17#35795C214yesmaximal, complemented
18#35791C212yesmaximal, complemented
19#35647C212yesmaximal, complemented
20#35548C212yesmaximal, complemented
21#35460C214yesmaximal, complemented
22#35457C214yesmaximal, complemented
23#35291C211yesmaximal, characteristic, complemented
24#35206C211yesmaximal, characteristic, complemented
25#35029C212yesmaximal, complemented
26#35023C212yesmaximal, complemented
27#34943C211yesmaximal, characteristic, complemented
28#34913C211yesmaximal, characteristic, complemented
29#34780C212yesmaximal, complemented
30C2×#2495C212yesmaximal, complemented
31#34332C211yesmaximal, characteristic, complemented
32#34292C212yesmaximal, complemented
33#34195C212yesmaximal, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35C4×#518C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#546C2212yes—
39C2×#518C2211yescharacteristic
40C2×#518C2211yescharacteristic
41C2×C4×#41C2212yes—
42C22×C4×D4C2211yescharacteristic
43#2864C2212yescomplemented
44#2862C2211yescharacteristic, complemented
45#2860C2212yescomplemented
46#2859C2211yescharacteristic, complemented
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2855C2212yescomplemented
50#2854C2212yescomplemented
51#2851C2212yescomplemented
52#2851C2212yescomplemented
53#2851C2212yescomplemented
54#2850C2212yescomplemented
55#2848C2212yes—
56#2847C2212yes—
57#2654C2214yescomplemented
58#2652C2214yescomplemented
59#2649C2214yescomplemented
60#2645C2212yescomplemented
61#2643C2214yescomplemented
62#2625C2212yes—
63#2622C2214yes—
64#2597C2214yes—
65#2595C2214yescomplemented
66#2587C2214yescomplemented
67#2578C2214yes—
68#2578C2212yes—
69#2578C2214yescomplemented
70#2577C2214yes—
71#2577C2212yescomplemented
72#2576C2214yes—
73#2576C2212yes—
74#2575C2212yescomplemented
75#2575C2214yescomplemented
76#2573C2214yescomplemented
77#2572C2214yescomplemented
78#2571C2211yescharacteristic, complemented
79#2568C2211yescharacteristic, complemented
80#2563C2211yescharacteristic
81#2563C2211yescharacteristic, complemented
82#2560C2214yes—
83#2558C2214yescomplemented
84#2553C2214yescomplemented
85#2552C2211yescharacteristic, complemented
86#2547C2211yescharacteristic
87#2538C2211yescharacteristic
88#2537C2211yescharacteristic
89#2533C2214yescomplemented
90#2532C2214yescomplemented
91#2531C2214yes—
92#2530C2214yes—
93#2530C2214yes—
94#2528C2214yescomplemented
95#2527C2214yescomplemented
96#2526C2214yescomplemented
97#2525C2214yescomplemented
98#2524C2214yescomplemented
99#2524C2214yescomplemented
100#2523C2214yescomplemented
101#2518C2214yescomplemented
102#2517C2214yescomplemented
103#2515C2214yescomplemented
104#2515C2214yescomplemented
105#2514C2212yescomplemented
106#2514C2211yescharacteristic, complemented
107#2514C2212yescomplemented
108#2511C2212yescomplemented
109#2511C2212yescomplemented
110#2510C2214yescomplemented
111#2510C2214yescomplemented
112#2509C2212yescomplemented
113#2509C2212yescomplemented
114#2508C2211yescharacteristic, complemented
115#2508C2212yescomplemented
116#2507C2212yescomplemented
117#2505C2214yescomplemented
118#2505C2214yescomplemented
119#2504C2212yescomplemented
120#2503C2212yescomplemented
121#2499C2212yes—
122#2497C2212yescomplemented
123#2496C2212yescomplemented
124#2495C2214yes—
125#2495C2212yes—
126#2495C2212yes—
127#2495C2211yescharacteristic
128#2495C2212yes—
129#2495C2214yes—
130#2495C2212yescomplemented
131#2495C2214yescomplemented
132#2495C2212yescomplemented
133#2495C2212yescomplemented
134#2495C2212yescomplemented
135#2495C2214yescomplemented
136#2495C2212yescomplemented
137#2494C2212yes—
138#2494C2212yescomplemented
139#2493C2214yescomplemented
140#2493C2214yescomplemented
141#2493C2214yescomplemented
142#2493C2214yescomplemented
143#2490C2212yes—
144#2489C2211yescharacteristic
145#2489C2212yes—
146#2489C2212yescomplemented
147#2489C2212yescomplemented
148#2489C2212yescomplemented
149#2488C2214yescomplemented
150#2488C2214yescomplemented
151#2487C2212yes—
152#2486C2212yes—
153#2485C2212yes—
154#2483C2214yes—
155#2481C2214yescomplemented
156#2481C2214yescomplemented
157#2473C2214yescomplemented
158#2466C2214yescomplemented
159#2454C2212yes—
160#2454C2211yescharacteristic, complemented
161#2453C2212yescomplemented
162#2450C2214yes—
163#2447C2212yes—
164#2447C2212yes—
165#2447C2211yescharacteristic, complemented
166#2444C2214yes—
167#2443C2214yes—
168#2442C2212yes—
169#2442C2212yescomplemented
170#2442C2212yescomplemented
171#2437C2214yes—
172#2427C2212yes—
173#2427C2211yescharacteristic
174#2426C2212yescomplemented
175#2425C2214yes—
176#2422C2212yes—
177#2421C2212yes—
178#2421C2212yes—
179#2420C2211yescharacteristic
180#2420C2212yes—
181#2420C2212yescomplemented
182#2419C2214yes—
183#2419C2214yes—
184#2419C2214yescomplemented
185#2417C2212yes—
186#2417C2212yes—
187#2416C2212yes—
188#2412C2214yes—
189#2412C2214yes—
190#2402C2214yescomplemented
191#2401C2212yescomplemented
192#2401C2214yescomplemented
193#2398C2214yescomplemented
194#2395C2212yes—
195C2×#400C2214yescomplemented
196C2×#397C2214yes—
197#2370C2212yescomplemented
198#2369C2211yescharacteristic, complemented
199#2367C2212yes—
200#2365C2211yescharacteristic, complemented
201#2363C2212yes—
202#2362C2212yes—
203#2362C2212yescomplemented
204#2361C2214yes—
205#2361C2212yescomplemented
206#2360C2214yescomplemented
207#2360C2212yescomplemented
208#2359C2214yes—
209#2359C2214yescomplemented
210#2358C2214yes—
211#2356C2212yescomplemented
212#2356C2212yescomplemented
213#2354C2212yes—
214#2354C2211yescharacteristic, complemented
215#2353C2214yescomplemented
216#2353C2214yescomplemented
217Q8×C4⋊C4C2211yescharacteristic, complemented
218#2349C2212yes—
219#2349C2212yes—
220D4×C4⋊C4C2212yes—
221D4×C4⋊C4C2211yescharacteristic
222D4×C4⋊C4C2212yes—
223D4×C4⋊C4C2211yescharacteristic
224#2347C2212yescomplemented
225#2347C2212yescomplemented
226#2345C2212yescomplemented
227#2344C2212yescomplemented
228#2343C2214yescomplemented
229#2343C2214yescomplemented
230#2342C2214yes—
231#2339C2212yes—
232#2339C2212yes—
233#2339C2212yes—
234#2339C2212yes—
235D4×C22⋊C4C2212yes—
236#2330C2212yescomplemented
237#2329C2214yescomplemented
238#2326C2212yes—
239#2325C2214yes—
240#2323C2212yes—
241#2321C2214yes—
242#2320C2212yescomplemented
243#2320C2212yescomplemented
244#2318C2214yescomplemented
245#2318C2214yescomplemented
246C4×C4⋊Q8C2211yescharacteristic, complemented
247C4×C4⋊Q8C2211yescharacteristic, complemented
248C4×#125C2212yescomplemented
249C4×#125C2211yescharacteristic, complemented
250C4×#124C2211yescharacteristic, complemented
251C4×C22⋊Q8C2211yescharacteristic
252C4×C22⋊Q8C2212yescomplemented
253C4×C22⋊Q8C2212yescomplemented
254C4×C22⋊Q8C2212yescomplemented
255C4×#123C2214yes—
256C4×#123C2214yescomplemented
257C4×#121C2211yescharacteristic
258C4×#121C2212yes—
259C4×#121C2212yescomplemented
260C4×#121C2212yescomplemented
261#2295C2211yescharacteristic, complemented
262#2295C2212yescomplemented
263C2×#389C2212yescomplemented
264C2×#389C2212yescomplemented
265#2290C2212yes—
266C2×#388C2214yes—
267#2283C2212yescomplemented
268#2283C2212yescomplemented
269#2283C2212yescomplemented
270#2283C2212yescomplemented
271#2283C2214yescomplemented
272C2×#383C2214yescomplemented
273C2×#382C2212yescomplemented
274C2×#380C2212yes—
275C2×#380C2212yes—
276#2275C2212yes—
277#2275C2211yescharacteristic
278#2275C2212yes—
279#2275C2212yes—
280#2275C2211yescharacteristic
281#2275C2211yescharacteristic
282#2275C2211yescharacteristic
283#2274C2211yescharacteristic
284#2274C2211yescharacteristic
285#2273C2212yes—
286#2273C2212yes—
287C42×D4C2211yescharacteristic
288C42×D4C2211yescharacteristic
289C42×D4C2212yes—
290C42×D4C2211yescharacteristic
291C42×D4C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic, complemented
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C2×C4×C4⋊C4C2212yescomplemented
297C2×C4×C22⋊C4C2212yes—
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#554—28no—
303#547—28no—
304#546—216no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#124C2312yes—
313C2×#124C2311yescharacteristic
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2311yescharacteristic
328C2×#121C2312yes—
329C2×#120C2314yes—
330#518—28no—
331#518—28no—
332C4×#41—216no—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×D4—28no—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2314yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2314yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2314yes—
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2314yes—
379C22×C4⋊C4C2314yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2314yes—
387C22×C42C2311yescharacteristic
388C22×C42C2314yes—
389C22×C42C2312yes—
390C22×C42C2312yes—
391C22×C42C2312yes—
392C22×C42C2312yes—
393C22×C42C2312yes—
394#401C2314yes—
395#401C2312yes—
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2312yes—
404#400C2312yes—
405#400C2314yes—
406#400C2312yes—
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#400C2314yes—
420#399C2314yes—
421#399C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#397C2312yes—
438#397C2312yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2314yes—
456#396C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#393C2314yes—
465#393C2314yes—
466#391C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#390C2314yes—
485#390C2312yes—
486#390C2312yes—
487#390C2314yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2312yes—
491#390C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2311yescharacteristic
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2314yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2314yes—
526#389C2311yescharacteristic
527#389C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2312yes—
540#388C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2312yes—
544#388C2314yes—
545#388C2312yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#387C2314yes—
558#387C2312yes—
559#387C2312yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2312yes—
570#387C2314yes—
571#387C2312yes—
572#387C2314yes—
573#387C2312yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2312yes—
582#387C2312yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#386C2312yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2312yes—
601#386C2312yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#385C2312yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2312yes—
617#385C2314yes—
618#385C2314yes—
619#385C2312yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#384C2311yescharacteristic
634#384C2311yescharacteristic
635#384C2312yes—
636#384C2312yes—
637#383C2314yes—
638#383C2314yes—
639#383C2314yes—
640#383C2314yes—
641#383C2312yes—
642#383C2314yes—
643#383C2312yes—
644#383C2314yes—
645#383C2314yes—
646#383C2314yes—
647#383C2314yes—
648#382C2312yes—
649#382C2311yescharacteristic
650#382C2312yes—
651#382C2312yes—
652#382C2312yes—
653#382C2312yes—
654#382C2314yes—
655#382C2314yes—
656#382C2312yes—
657#382C2314yes—
658#382C2312yes—
659#382C2312yes—
660#382C2312yes—
661#382C2312yes—
662#382C2314yes—
663#382C2311yescharacteristic
664#381C2314yes—
665#381C2314yes—
666#381C2312yes—
667#381C2312yes—
668#381C2314yes—
669#381C2314yes—
670#381C2314yes—
671#381C2314yes—
672#381C2314yes—
673#381C2314yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#380C2314yes—
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#380C2312yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2311yescharacteristic
699#380C2314yes—
700#380C2312yes—
701#380C2311yescharacteristic
702#379C2314yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C22⋊C4C2312yes—
748C4×C22⋊C4C2312yes—
749C4×C22⋊C4C2312yes—
750C4×C22⋊C4C2314yes—
751C4×C22⋊C4C2312yes—
752C4×C22⋊C4C2314yes—
753C4×C22⋊C4C2312yes—
754C4×C22⋊C4C2312yes—
755C4×C22⋊C4C2311yescharacteristic
756C4×C22⋊C4C2312yes—
757C4×C22⋊C4C2312yes—
758C4×C22⋊C4C2311yescharacteristic
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2314yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2312yes—
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796#376C2311yescharacteristic
797#376C2312yes—
798#376C2314yes—
799#376C2314yes—
800#376C2314yes—
801#376C2311yescharacteristic
802#376C2312yes—
803C2×#95C2312yes—
804C2×#95C2314yes—
805C2×#95C2314yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C43C2311yescharacteristic
817C25C2412yes—
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—28no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×D4—24no—
825C22×D4—24no—
826C22×D4#4118yes—
827C22×D4C2411yescharacteristic
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2411yescharacteristic
834C23×C4—28no—
835C23×C4—44no—
836C23×C4—44no—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862#126—84no—
863#125—28no—
864#125—42no—
865#125—44no—
866#125—82no—
867#124—28no—
868#124—42no—
869#123—216no—
870#123—216no—
871#123—84no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—216no—
876C22⋊Q8—44no—
877C22⋊Q8—42no—
878C22⋊Q8—82no—
879#121—28no—
880#121—216no—
881#121—28no—
882#121—44no—
883#121—42no—
884#120—216no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—44no—
889C4×Q8—82no—
890C4×D4—24no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—216no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—28no—
908C4×D4—216no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—42no—
914C4×D4—42no—
915C4×D4—84no—
916C4×D4#4118yes—
917C4×D4#4118yes—
918#117—24no—
919#117—24no—
920#117—28no—
921#117—24no—
922#117—216no—
923#117—24no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4—28no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—84no—
930C2×C4⋊C4—84no—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C22⋊C4—28no—
989C2×C22⋊C4—28no—
990C2×C22⋊C4—216no—
991C2×C22⋊C4—28no—
992C2×C22⋊C4—28no—
993C2×C22⋊C4—28no—
994C2×C22⋊C4—84no—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C42—216no—
1045C2×C42—24no—
1046C2×C42—28no—
1047C2×C42—44no—
1048C2×C42—44no—
1049C2×C42—44no—
1050C2×C42—44no—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2414yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2412yes—
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174C24—24no—
1175C24—24no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24C2×#4118yes—
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C24C2512yes—
1184C24C2512yes—
1185#41—432no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—232no—
1198C2×D4—28no—
1199C2×D4—28no—
1200C2×D4—28no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4C2×#4118yes—
1213C2×D4C2×#4114yes—
1214C2×D4C2×#4114yes—
1215C2×D4C2×#4114yes—
1216C2×D4C2×#4114yes—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—28no—
1224C22×C4—28no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—28no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—41no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—44no—
1283C22×C4—816no—
1284C22×C4C2×#4118yes—
1285C22×C4C2×#4114yes—
1286C22×C4C2×#4118yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2512yes—
1309C22×C4C2514yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—28no—
1341C4⋊C4—28no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4C2×#4114yes—
1374C4⋊C4C2×#4114yes—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—22no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—22no—
1393C22⋊C4—24no—
1394C22⋊C4—22no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4C2×#4118yes—
1423C22⋊C4C2×#4118yes—
1424C42—24no—
1425C42—28no—
1426C42—24no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—24no—
1431C42—28no—
1432C42—28no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—22no—
1441C42—22no—
1442C42—24no—
1443C42—22no—
1444C42—22no—
1445C42—24no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42—42no—
1455C42—44no—
1456C42—41no—
1457C42—41no—
1458C42—44no—
1459C42—44no—
1460C42—41no—
1461C42—41no—
1462C42—42no—
1463C42C2×#4114yes—
1464C42C2×#4114yes—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—21no—
1478C23—22no—
1479C23—22no—
1480C23—21no—
1481C23—216no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—48no—
1490C23—48no—
1491C23—84no—
1492C23—84no—
1493C23—84no—
1494C23—84no—
1495C23C22×#4112yes—
1496C23C22×#4114yes—
1497C23C22×#4114yes—
1498C23C22×#4114yes—
1499C23C22×#4114yes—
1500C23C2611yescharacteristic
1501Q8—48no—
1502Q8—44no—
1503Q8—84no—
1504D4—216no—
1505D4—28no—
1506D4—416no—
1507D4—44no—
1508D4—84no—
1509D4—88no—
1510D4#529116yes—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—28no—
1524C2×C4—216no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—48no—
1595C2×C4—416no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—44no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—82no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—88no—
1611C2×C4—88no—
1612C2×C4—84no—
1613C2×C4—88no—
1614C2×C4—84no—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4114yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4114yes—
1621C2×C4C22×#4112yes—
1622C2×C4C22×#4112yes—
1623C2×C4C22×#4112yes—
1624C2×C4C22×#4112yes—
1625C2×C4#58512yes—
1626C2×C4#58512yes—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—24no—
1631C22—24no—
1632C22—24no—
1633C22—24no—
1634C22—22no—
1635C22—24no—
1636C22—22no—
1637C22—22no—
1638C22—24no—
1639C22—42no—
1640C22—41no—
1641C22—42no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—816no—
1655C22C2×#52918yes—
1656C22C23×#4111yescharacteristic
1657C22C23×#4111yescharacteristic
1658C22C23×#4111yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22C2×#58511yescharacteristic
1661C22H(7,𝔽2)11yescharacteristic
1662C222−1+611yescharacteristic
1663C4—22no—
1664C4—24no—
1665C4—22no—
1666C4—24no—
1667C4—22no—
1668C4—22no—
1669C4—42no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4—41no—
1679C4—44no—
1680C4—44no—
1681C4—41no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—41no—
1688C4—42no—
1689C4—44no—
1690C4—42no—
1691C4—44no—
1692C4C2×#52914yes—
1693C4#352114yes—
1694C2—28no—
1695C2—44no—
1696C2—42no—
1697C2—82no—
1698C2C22×#52911yescharacteristic
1699C2C2×#352111yescharacteristic
1700C2#6285711yescharacteristic
1701C2#6299111yescharacteristic
1702C2#6299111yescharacteristic
1703C2#6299211yescharacteristic
1704C2#6299411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36153C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36464C2semidirect
2. #36459C2semidirect
3. #36314C2semidirect
4. #36305C2semidirect
5. #36290C2semidirect
6. #36175C2semidirect
7. #36171C2semidirect
8. #36168C2semidirect
9. #36167C2semidirect
10. #36164C2semidirect
11. #36154C2semidirect
13. #36069C2semidirect
14. #36055C2semidirect
15. #35892C2semidirect
16. #35888C2semidirect
17. #35795C2semidirect
18. #35791C2semidirect
19. #35647C2semidirect
20. #35548C2semidirect
21. #35460C2semidirect
22. #35457C2semidirect
23. #35291C2semidirect
24. #35206C2semidirect
25. #35029C2semidirect
26. #35023C2semidirect
27. #34943C2semidirect
28. #34913C2semidirect
29. #34780C2semidirect
30. C2×#2495C2semidirect
31. #34332C2semidirect
32. #34292C2semidirect
33. #34195C2semidirect
34. C4×#547C2semidirect
35. C4×#518C2semidirect
43. #2864C22semidirect
44. #2862C22semidirect
45. #2860C22semidirect
46. #2859C22semidirect
49. #2855C22semidirect
50. #2854C22semidirect
51. #2851C22semidirect
52. #2851C22semidirect
53. #2851C22semidirect
54. #2850C22semidirect
57. #2654C22semidirect
58. #2652C22semidirect
59. #2649C22semidirect
60. #2645C22semidirect
61. #2643C22semidirect
65. #2595C22semidirect
66. #2587C22semidirect
69. #2578C22semidirect
71. #2577C22semidirect
74. #2575C22semidirect
75. #2575C22semidirect
76. #2573C22semidirect
77. #2572C22semidirect
78. #2571C22semidirect
79. #2568C22semidirect
81. #2563C22semidirect
83. #2558C22semidirect
84. #2553C22semidirect
85. #2552C22semidirect
89. #2533C22semidirect
90. #2532C22semidirect
94. #2528C22semidirect
95. #2527C22semidirect
96. #2526C22semidirect
97. #2525C22semidirect
98. #2524C22semidirect
99. #2524C22semidirect
100. #2523C22semidirect
101. #2518C22semidirect
102. #2517C22semidirect
103. #2515C22semidirect
104. #2515C22semidirect
105. #2514C22semidirect
106. #2514C22semidirect
107. #2514C22semidirect
108. #2511C22semidirect
109. #2511C22semidirect
110. #2510C22semidirect
111. #2510C22semidirect
112. #2509C22semidirect
113. #2509C22semidirect
114. #2508C22semidirect
115. #2508C22semidirect
116. #2507C22semidirect
117. #2505C22semidirect
118. #2505C22semidirect
119. #2504C22semidirect
120. #2503C22semidirect
122. #2497C22semidirect
123. #2496C22semidirect
130. #2495C22semidirect
131. #2495C22semidirect
132. #2495C22semidirect
133. #2495C22semidirect
134. #2495C22semidirect
135. #2495C22semidirect
136. #2495C22semidirect
138. #2494C22semidirect
139. #2493C22semidirect
140. #2493C22semidirect
141. #2493C22semidirect
142. #2493C22semidirect
146. #2489C22semidirect
147. #2489C22semidirect
148. #2489C22semidirect
149. #2488C22semidirect
150. #2488C22semidirect
155. #2481C22semidirect
156. #2481C22semidirect
157. #2473C22semidirect
158. #2466C22semidirect
160. #2454C22semidirect
161. #2453C22semidirect
165. #2447C22semidirect
169. #2442C22semidirect
170. #2442C22semidirect
174. #2426C22semidirect
181. #2420C22semidirect
184. #2419C22semidirect
190. #2402C22semidirect
191. #2401C22semidirect
192. #2401C22semidirect
193. #2398C22semidirect
195. C2×#400C22semidirect
197. #2370C22semidirect
198. #2369C22semidirect
200. #2365C22semidirect
203. #2362C22semidirect
205. #2361C22semidirect
206. #2360C22semidirect
207. #2360C22semidirect
209. #2359C22semidirect
211. #2356C22semidirect
212. #2356C22semidirect
214. #2354C22semidirect
215. #2353C22semidirect
216. #2353C22semidirect
217. Q8×C4⋊C4C22semidirect
224. #2347C22semidirect
225. #2347C22semidirect
226. #2345C22semidirect
227. #2344C22semidirect
228. #2343C22semidirect
229. #2343C22semidirect
236. #2330C22semidirect
237. #2329C22semidirect
242. #2320C22semidirect
243. #2320C22semidirect
244. #2318C22semidirect
245. #2318C22semidirect
246. C4×C4⋊Q8C22semidirect
247. C4×C4⋊Q8C22semidirect
248. C4×#125C22semidirect
249. C4×#125C22semidirect
250. C4×#124C22semidirect
252. C4×C22⋊Q8C22semidirect
253. C4×C22⋊Q8C22semidirect
254. C4×C22⋊Q8C22semidirect
256. C4×#123C22semidirect
259. C4×#121C22semidirect
260. C4×#121C22semidirect
261. #2295C22semidirect
262. #2295C22semidirect
263. C2×#389C22semidirect
264. C2×#389C22semidirect
267. #2283C22semidirect
268. #2283C22semidirect
269. #2283C22semidirect
270. #2283C22semidirect
271. #2283C22semidirect
272. C2×#383C22semidirect
273. C2×#382C22semidirect
293. C42×D4C22semidirect
296. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#364642
#364592
#363142
#363052
#362902
#361752
#361712
#361682
#361672
#361642
#361542
#361532
#360692
#360552
#358922
#358882
#357952
#357912
#356472
#355482
#354602
#354572
#352912
#352062
#350292
#350232
#349432
#349132
#347802
C2×#24952
#343322
#342922
#341952
C4×#5472
C4×#5182