Finite Group Databasebeta

← #7654296

Subgroups — #7654296

Order 512.

4924 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42729C212yesmaximal, complemented
2#42722C212yesmaximal, complemented
3#41514C214yesmaximal, complemented
4#40756C214yesmaximal, complemented
5#40192C212yesmaximal, complemented
6#39792C212yesmaximal, complemented
7#39515C211yesmaximal, characteristic, complemented
8#39194C211yesmaximal, characteristic, complemented
9#39158C211yesmaximal, characteristic, complemented
10#38933C211yesmaximal, characteristic, complemented
11#38571C214yesmaximal, complemented
12#38147C214yesmaximal, complemented
13#38124C212yesmaximal, complemented
14#37884C212yesmaximal, complemented
15#37853C212yesmaximal, complemented
16#37852C212yesmaximal, complemented
17#37631C211yesmaximal, characteristic, complemented
18#37505C212yesmaximal, complemented
19#36261C211yesmaximal, characteristic, complemented
20#36219C212yesmaximal, complemented
21#36216C212yesmaximal, complemented
22#36164C211yesmaximal, characteristic, complemented
23#36154C211yesmaximal, characteristic, complemented
24#36153C211yesmaximal, characteristic
25#36053C212yesmaximal, complemented
26#35847C212yesmaximal, complemented
27#35291C211yesmaximal, characteristic, complemented
28#35228C212yesmaximal, complemented
29#35207C211yesmaximal, characteristic, complemented
30#35080C212yesmaximal, complemented
31#34969C211yesmaximal, characteristic, complemented
32C2×#2494C212yesmaximal, complemented
33#34332C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2212yes—
38C2×#547C2211yescharacteristic
39C2×#546C2212yes—
40C2×C4×#41C2212yes—
41C22×C4×D4C2211yescharacteristic
42#2862C2211yescharacteristic, complemented
43#2859C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2212yescomplemented
47#2855C2214yescomplemented
48#2854C2212yes—
49#2853C2214yes—
50#2851C2212yescomplemented
51#2850C2212yescomplemented
52#2848C2212yes—
53#2847C2212yes—
54#2838C2214yescomplemented
55#2838C2214yescomplemented
56#2837C2214yescomplemented
57#2801C2214yescomplemented
58#2800C2214yescomplemented
59#2800C2214yescomplemented
60#2798C2214yescomplemented
61#2773C2214yescomplemented
62#2772C2214yescomplemented
63#2767C2214yescomplemented
64#2766C2214yescomplemented
65#2765C2214yescomplemented
66#2762C2214yescomplemented
67#2759C2214yescomplemented
68#2759C2214yescomplemented
69#2757C2214yescomplemented
70#2754C2214yescomplemented
71#2747C2214yes—
72#2746C2214yescomplemented
73#2745C2214yescomplemented
74#2742C2214yes—
75#2741C2214yes—
76#2738C2214yes—
77#2738C2214yescomplemented
78#2737C2214yescomplemented
79#2717C2214yes—
80#2700C2214yes—
81#2663C2214yescomplemented
82#2655C2214yescomplemented
83#2653C2214yescomplemented
84#2653C2214yescomplemented
85#2652C2214yescomplemented
86#2650C2214yescomplemented
87#2650C2214yescomplemented
88#2649C2214yes—
89#2647C2212yescomplemented
90#2645C2212yescomplemented
91#2645C2212yescomplemented
92#2644C2212yescomplemented
93#2643C2214yescomplemented
94#2640C2212yes—
95#2639C2214yes—
96#2628C2212yescomplemented
97#2628C2212yescomplemented
98#2625C2212yes—
99#2625C2212yescomplemented
100#2624C2212yescomplemented
101#2592C2212yes—
102#2584C2212yescomplemented
103#2583C2214yescomplemented
104#2581C2212yescomplemented
105#2579C2214yescomplemented
106#2568C2211yescharacteristic, complemented
107#2565C2212yescomplemented
108#2564C2214yescomplemented
109#2563C2211yescharacteristic
110#2563C2211yescharacteristic, complemented
111#2561C2214yes—
112#2552C2211yescharacteristic, complemented
113#2551C2211yescharacteristic, complemented
114#2550C2212yescomplemented
115#2549C2214yescomplemented
116#2547C2212yes—
117#2547C2211yescharacteristic
118#2538C2211yescharacteristic
119#2537C2211yescharacteristic
120#2530C2212yescomplemented
121#2527C2212yescomplemented
122#2525C2214yescomplemented
123#2520C2214yescomplemented
124#2514C2212yescomplemented
125#2514C2212yescomplemented
126#2514C2212yescomplemented
127#2511C2211yescharacteristic, complemented
128#2510C2214yescomplemented
129#2510C2214yescomplemented
130#2510C2214yescomplemented
131#2509C2212yescomplemented
132#2509C2211yescharacteristic, complemented
133#2508C2212yescomplemented
134#2504C2214yes—
135#2504C2212yescomplemented
136#2503C2212yescomplemented
137#2500C2212yes—
138#2498C2214yes—
139#2495C2212yes—
140#2495C2212yescomplemented
141#2494C2214yes—
142#2494C2212yes—
143#2494C2212yes—
144#2494C2214yes—
145#2494C2211yescharacteristic
146#2494C2212yes—
147#2494C2212yescomplemented
148#2494C2214yescomplemented
149#2494C2212yescomplemented
150#2494C2214yescomplemented
151#2494C2212yescomplemented
152#2494C2212yescomplemented
153#2494C2212yescomplemented
154#2494C2212yescomplemented
155#2494C2212yescomplemented
156#2493C2214yescomplemented
157#2493C2214yescomplemented
158#2493C2214yescomplemented
159#2492C2211yescharacteristic
160#2492C2212yescomplemented
161#2491C2212yes—
162#2490C2212yes—
163#2490C2212yes—
164#2489C2212yes—
165#2489C2212yes—
166#2489C2212yescomplemented
167#2489C2212yescomplemented
168#2488C2214yes—
169#2488C2214yes—
170#2488C2214yescomplemented
171#2488C2214yescomplemented
172#2487C2212yes—
173#2486C2212yes—
174#2485C2212yes—
175#2482C2214yes—
176#2477C2212yes—
177#2472C2214yes—
178#2472C2214yes—
179#2470C2212yes—
180#2458C2214yescomplemented
181#2454C2212yes—
182#2453C2212yescomplemented
183#2452C2211yescharacteristic, complemented
184#2451C2212yescomplemented
185#2450C2214yes—
186#2450C2214yescomplemented
187#2449C2214yescomplemented
188#2448C2212yes—
189#2448C2212yes—
190#2447C2211yescharacteristic, complemented
191#2444C2214yes—
192#2443C2214yes—
193#2442C2212yes—
194#2441C2212yescomplemented
195#2440C2212yescomplemented
196#2440C2212yescomplemented
197#2439C2212yescomplemented
198#2438C2214yescomplemented
199#2438C2214yescomplemented
200#2437C2214yes—
201#2427C2211yescharacteristic
202#2427C2212yes—
203#2426C2212yescomplemented
204#2425C2214yes—
205#2423C2212yes—
206#2423C2212yes—
207#2422C2211yescharacteristic
208#2422C2212yescomplemented
209#2421C2212yes—
210#2418C2214yes—
211#2418C2214yes—
212#2417C2212yes—
213#2417C2212yes—
214#2416C2212yes—
215#2412C2214yes—
216#2401C2212yescomplemented
217C2×#401C2214yescomplemented
218#2398C2212yes—
219C2×#397C2214yes—
220#2370C2212yescomplemented
221#2369C2211yescharacteristic, complemented
222#2365C2211yescharacteristic, complemented
223#2362C2212yescomplemented
224#2361C2212yescomplemented
225#2360C2214yescomplemented
226#2360C2212yescomplemented
227#2359C2214yescomplemented
228#2357C2211yescharacteristic
229#2357C2211yescharacteristic
230#2354C2211yescharacteristic, complemented
231#2353C2212yes—
232#2353C2212yes—
233Q8×C4⋊C4C2211yescharacteristic, complemented
234#2349C2212yes—
235#2349C2211yescharacteristic
236#2349C2211yescharacteristic
237#2349C2212yes—
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241#2345C2211yescharacteristic
242#2345C2211yescharacteristic
243#2345C2212yescomplemented
244#2344C2212yescomplemented
245#2342C2212yes—
246#2342C2212yes—
247#2339C2212yes—
248#2339C2212yes—
249#2339C2212yes—
250#2339C2212yes—
251D4×C22⋊C4C2211yescharacteristic
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2211yescharacteristic
254#2337C2214yes—
255#2335C2214yescomplemented
256#2331C2212yescomplemented
257#2330C2212yescomplemented
258#2329C2214yescomplemented
259#2324C2212yescomplemented
260#2323C2212yes—
261#2323C2212yescomplemented
262#2320C2212yescomplemented
263#2320C2212yescomplemented
264#2314C2212yescomplemented
265#2314C2212yescomplemented
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×#124C2211yescharacteristic, complemented
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2212yescomplemented
272C4×C22⋊Q8C2212yescomplemented
273C4×C22⋊Q8C2212yescomplemented
274C4×#123C2212yes—
275C4×#123C2214yescomplemented
276C4×#121C2211yescharacteristic
277C4×#121C2212yescomplemented
278#2295C2211yescharacteristic, complemented
279#2293C2211yescharacteristic
280#2293C2211yescharacteristic
281C2×#389C2212yescomplemented
282C2×#389C2212yescomplemented
283#2290C2212yes—
284#2290C2212yes—
285C2×#388C2214yes—
286C2×#387C2214yescomplemented
287#2283C2211yescharacteristic
288C2×#382C2212yescomplemented
289#2280C2212yes—
290C2×#380C2212yes—
291C2×#380C2212yes—
292#2275C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#554—28no—
303#554—48no—
304#547—28no—
305#546—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2312yes—
315C2×#124C2314yes—
316C2×#124C2311yescharacteristic
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#120C2314yes—
338C4×#41—48no—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×D4—28no—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2314yes—
370C2×#117C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2314yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2314yes—
383C22×C42C2311yescharacteristic
384C22×C42C2312yes—
385C22×C42C2312yes—
386C22×C42C2314yes—
387C22×C42C2312yes—
388#401C2314yes—
389#401C2314yes—
390#401C2314yes—
391#401C2312yes—
392#401C2314yes—
393#401C2314yes—
394#401C2314yes—
395#401C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#393C2312yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2312yes—
482#393C2314yes—
483#393C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2314yes—
503#391C2314yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2314yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
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#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2312yes—
650#386C2312yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#385C2312yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2314yes—
695#382C2312yes—
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2314yes—
699#382C2314yes—
700#382C2311yescharacteristic
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#381C2312yes—
706#381C2312yes—
707#381C2312yes—
708#381C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2311yescharacteristic
741#379C2312yes—
742#379C2314yes—
743#379C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2311yescharacteristic
805C2×#95C2314yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C2×#41—28no—
818C2×#41—28no—
819C2×#41—28no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4—24no—
826C22×D4—24no—
827C22×D4—24no—
828C22×D4C2411yescharacteristic
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2411yescharacteristic
835C23×C4—28no—
836C23×C4—44no—
837C23×C4—44no—
838C23×C4C2414yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—44no—
860C4⋊Q8—42no—
861C4⋊Q8—44no—
862#125—28no—
863#125—44no—
864#125—44no—
865#124—42no—
866#124—44no—
867#124—48no—
868#123—216no—
869#123—44no—
870#123—48no—
871#123—48no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—216no—
875C22⋊Q8—44no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—42no—
882C22⋊Q8—44no—
883#121—28no—
884#121—44no—
885#121—42no—
886#121—44no—
887#121—48no—
888#120—48no—
889C4×Q8—24no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—42no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—48no—
912C4×D4—48no—
913C4×D4#4118yes—
914#117—44no—
915#117—44no—
916#117—42no—
917#117—42no—
918#117—48no—
919#117—44no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—48no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—48no—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C22⋊C4—28no—
991C2×C22⋊C4—44no—
992C2×C22⋊C4—44no—
993C2×C22⋊C4—48no—
994C2×C22⋊C4—48no—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C42—24no—
1049C2×C42—44no—
1050C2×C42—44no—
1051C2×C42—44no—
1052C2×C42—48no—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
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#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168C24—24no—
1169C24—24no—
1170C24—24no—
1171C24—24no—
1172C24—42no—
1173C24—42no—
1174C24—42no—
1175C24C2512yes—
1176C24C2512yes—
1177C24C2511yescharacteristic
1178C24C2512yes—
1179#41—432no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×D4—24no—
1196C2×D4—28no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—416no—
1214C2×D4C2×#4114yes—
1215C2×D4H(5,𝔽2)14yes—
1216C2×D42−1+414yes—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—24no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—22no—
1224C22×C4—28no—
1225C22×C4—24no—
1226C22×C4—28no—
1227C22×C4—28no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—42no—
1249C22×C4—41no—
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—44no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—816no—
1274C22×C4C2×#4118yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—41no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4C2×#4114yes—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—22no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—22no—
1387C22⋊C4—24no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—41no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4C2×#4118yes—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—24no—
1426C42—22no—
1427C42—24no—
1428C42—24no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—24no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—42no—
1440C42—42no—
1441C42—42no—
1442C42—42no—
1443C42—42no—
1444C42—42no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—41no—
1449C42—41no—
1450C42—41no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42C2×#4114yes—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—48no—
1480C23—48no—
1481C23—48no—
1482C23—48no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23C22×#4114yes—
1487C23C2×H(5,𝔽2)14yes—
1488C23C2×2−1+414yes—
1489C23#58512yes—
1490C23C2611yescharacteristic
1491Q8—48no—
1492Q8—44no—
1493Q8—84no—
1494Q8—84no—
1495Q8—164no—
1496D4—48no—
1497D4—416no—
1498D4—44no—
1499D4—44no—
1500D4—84no—
1501D4—164no—
1502D4#542116yes—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—216no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—24no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—416no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—48no—
1594C2×C4—44no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—88no—
1600C2×C4—88no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—88no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4114yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×2−1+412yes—
1612C2×C4#58512yes—
1613C2×C4#58512yes—
1614C2×C4#58512yes—
1615C22—24no—
1616C22—24no—
1617C22—24no—
1618C22—24no—
1619C22—24no—
1620C22—24no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—816no—
1643C22C2×#54218yes—
1644C22C23×#4111yescharacteristic
1645C22C22×H(5,𝔽2)11yescharacteristic
1646C22C22×2−1+411yescharacteristic
1647C22C2×#58511yescharacteristic
1648C22C2×#58511yescharacteristic
1649C22C2×#58511yescharacteristic
1650C22C2×#58511yescharacteristic
1651C4—22no—
1652C4—24no—
1653C4—22no—
1654C4—42no—
1655C4—41no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—44no—
1660C4—42no—
1661C4—44no—
1662C4—42no—
1663C4—42no—
1664C4—41no—
1665C4—41no—
1666C4—42no—
1667C4—41no—
1668C4—41no—
1669C4—42no—
1670C4—41no—
1671C4—42no—
1672C4—41no—
1673C4—42no—
1674C4—41no—
1675C4—42no—
1676C4—44no—
1677C4—42no—
1678C4—41no—
1679C4—44no—
1680C4C2×#54214yes—
1681C4#352114yes—
1682C2—28no—
1683C2—42no—
1684C2—82no—
1685C2—82no—
1686C2C22×#54211yescharacteristic
1687C2C2×#352111yescharacteristic
1688C2#6281011yescharacteristic
1689C2#6301811yescharacteristic
1690C2#6301811yescharacteristic
1691C2#6302311yescharacteristic
1692C2#6302511yescharacteristic
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. #42729C2semidirect
2. #42722C2semidirect
3. #41514C2semidirect
4. #40756C2semidirect
5. #40192C2semidirect
6. #39792C2semidirect
7. #39515C2semidirect
8. #39194C2semidirect
9. #39158C2semidirect
10. #38933C2semidirect
11. #38571C2semidirect
12. #38147C2semidirect
13. #38124C2semidirect
14. #37884C2semidirect
15. #37853C2semidirect
16. #37852C2semidirect
17. #37631C2semidirect
18. #37505C2semidirect
19. #36261C2semidirect
20. #36219C2semidirect
21. #36216C2semidirect
22. #36164C2semidirect
23. #36154C2semidirect
25. #36053C2semidirect
26. #35847C2semidirect
27. #35291C2semidirect
28. #35228C2semidirect
29. #35207C2semidirect
30. #35080C2semidirect
31. #34969C2semidirect
32. C2×#2494C2semidirect
33. #34332C2semidirect
34. C4×#547C2semidirect
35. #34126C2semidirect
42. #2862C22semidirect
43. #2859C22semidirect
46. #2857C22semidirect
47. #2855C22semidirect
50. #2851C22semidirect
51. #2850C22semidirect
54. #2838C22semidirect
55. #2838C22semidirect
56. #2837C22semidirect
57. #2801C22semidirect
58. #2800C22semidirect
59. #2800C22semidirect
60. #2798C22semidirect
61. #2773C22semidirect
62. #2772C22semidirect
63. #2767C22semidirect
64. #2766C22semidirect
65. #2765C22semidirect
66. #2762C22semidirect
67. #2759C22semidirect
68. #2759C22semidirect
69. #2757C22semidirect
70. #2754C22semidirect
72. #2746C22semidirect
73. #2745C22semidirect
77. #2738C22semidirect
78. #2737C22semidirect
81. #2663C22semidirect
82. #2655C22semidirect
83. #2653C22semidirect
84. #2653C22semidirect
85. #2652C22semidirect
86. #2650C22semidirect
87. #2650C22semidirect
89. #2647C22semidirect
90. #2645C22semidirect
91. #2645C22semidirect
92. #2644C22semidirect
93. #2643C22semidirect
96. #2628C22semidirect
97. #2628C22semidirect
99. #2625C22semidirect
100. #2624C22semidirect
102. #2584C22semidirect
103. #2583C22semidirect
104. #2581C22semidirect
105. #2579C22semidirect
106. #2568C22semidirect
107. #2565C22semidirect
108. #2564C22semidirect
110. #2563C22semidirect
112. #2552C22semidirect
113. #2551C22semidirect
114. #2550C22semidirect
115. #2549C22semidirect
120. #2530C22semidirect
121. #2527C22semidirect
122. #2525C22semidirect
123. #2520C22semidirect
124. #2514C22semidirect
125. #2514C22semidirect
126. #2514C22semidirect
127. #2511C22semidirect
128. #2510C22semidirect
129. #2510C22semidirect
130. #2510C22semidirect
131. #2509C22semidirect
132. #2509C22semidirect
133. #2508C22semidirect
135. #2504C22semidirect
136. #2503C22semidirect
140. #2495C22semidirect
147. #2494C22semidirect
148. #2494C22semidirect
149. #2494C22semidirect
150. #2494C22semidirect
151. #2494C22semidirect
152. #2494C22semidirect
153. #2494C22semidirect
154. #2494C22semidirect
155. #2494C22semidirect
156. #2493C22semidirect
157. #2493C22semidirect
158. #2493C22semidirect
160. #2492C22semidirect
166. #2489C22semidirect
167. #2489C22semidirect
170. #2488C22semidirect
171. #2488C22semidirect
180. #2458C22semidirect
182. #2453C22semidirect
183. #2452C22semidirect
184. #2451C22semidirect
186. #2450C22semidirect
187. #2449C22semidirect
190. #2447C22semidirect
194. #2441C22semidirect
195. #2440C22semidirect
196. #2440C22semidirect
197. #2439C22semidirect
198. #2438C22semidirect
199. #2438C22semidirect
203. #2426C22semidirect
208. #2422C22semidirect
216. #2401C22semidirect
217. C2×#401C22semidirect
220. #2370C22semidirect
221. #2369C22semidirect
222. #2365C22semidirect
223. #2362C22semidirect
224. #2361C22semidirect
225. #2360C22semidirect
226. #2360C22semidirect
227. #2359C22semidirect
230. #2354C22semidirect
233. Q8×C4⋊C4C22semidirect
243. #2345C22semidirect
244. #2344C22semidirect
255. #2335C22semidirect
256. #2331C22semidirect
257. #2330C22semidirect
258. #2329C22semidirect
259. #2324C22semidirect
261. #2323C22semidirect
262. #2320C22semidirect
263. #2320C22semidirect
264. #2314C22semidirect
265. #2314C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×#124C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
275. C4×#123C22semidirect
277. C4×#121C22semidirect
278. #2295C22semidirect
281. C2×#389C22semidirect
282. C2×#389C22semidirect
286. C2×#387C22semidirect
288. C2×#382C22semidirect
295. C42×D4C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#427292
#427222
#415142
#407562
#401922
#397922
#395152
#391942
#391582
#389332
#385712
#381472
#381242
#378842
#378532
#378522
#376312
#375052
#362612
#362192
#362162
#361642
#361542
#361532
#360532
#358472
#352912
#352282
#352072
#350802
#349692
C2×#24942
#343322
C4×#5472
#341262