Finite Group Databasebeta

← #7654867

Subgroups — #7654867

Order 512.

5158 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42077C214yesmaximal, complemented
2#42076C214yesmaximal, complemented
3#41974C214yesmaximal, complemented
4#39690C212yesmaximal, complemented
5#39292C212yesmaximal, complemented
6#39274C212yesmaximal, complemented
7#39271C212yesmaximal, complemented
8#38272C212yesmaximal, complemented
9#38110C212yesmaximal, complemented
10#37980C212yesmaximal, complemented
11#37882C212yesmaximal, complemented
12#37774C212yesmaximal, complemented
13#37773C212yesmaximal, complemented
14#37665C212yesmaximal, complemented
15#37663C212yesmaximal, complemented
16#37628C211yesmaximal, characteristic, complemented
17#37627C211yesmaximal, characteristic, complemented
18#37617C211yesmaximal, characteristic, complemented
19#36291C212yesmaximal, complemented
20#36189C212yesmaximal, complemented
21#36130C212yesmaximal, complemented
22#36108C212yesmaximal, complemented
23#35988C214yesmaximal, complemented
24#35239C211yesmaximal, characteristic, complemented
25#35236C211yesmaximal, characteristic
26#35209C211yesmaximal, characteristic, complemented
27#35196C211yesmaximal, characteristic, complemented
28#35176C211yesmaximal, characteristic, complemented
29#35170C211yesmaximal, characteristic, complemented
30#34932C211yesmaximal, characteristic, complemented
31#34929C211yesmaximal, characteristic, complemented
32C2×#2542C211yesmaximal, characteristic, complemented
33#34216C211yesmaximal, characteristic, complemented
34#34153C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#542C2212yescomplemented
37C2×#541C2212yescomplemented
38C2×#533C2212yescomplemented
39C22×C4⋊Q8C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#529C2212yescomplemented
42C22×C22⋊Q8C2212yes—
43C22×C22⋊Q8C2212yes—
44C22×C4×D4C2211yescharacteristic
45#2860C2212yes—
46#2859C2212yescomplemented
47#2857C2212yes—
48#2857C2212yescomplemented
49#2857C2212yescomplemented
50#2855C2212yescomplemented
51#2855C2212yescomplemented
52#2854C2212yes—
53#2851C2212yes—
54#2850C2212yescomplemented
55#2848C2212yes—
56#2847C2212yes—
57#2837C2214yescomplemented
58#2836C2214yescomplemented
59#2821C2214yescomplemented
60#2807C2214yescomplemented
61#2798C2214yescomplemented
62#2796C2214yes—
63#2794C2214yescomplemented
64#2794C2214yescomplemented
65#2773C2214yescomplemented
66#2771C2214yescomplemented
67#2751C2214yes—
68#2732C2214yescomplemented
69#2730C2214yes—
70#2727C2214yescomplemented
71#2721C2214yescomplemented
72#2721C2214yescomplemented
73#2705C2214yes—
74#2704C2214yescomplemented
75#2702C2214yescomplemented
76#2700C2214yescomplemented
77#2698C2214yescomplemented
78#2694C2214yescomplemented
79#2694C2214yescomplemented
80#2692C2214yescomplemented
81#2690C2214yescomplemented
82#2689C2214yescomplemented
83#2687C2214yescomplemented
84#2667C2214yescomplemented
85#2666C2214yescomplemented
86#2664C2214yescomplemented
87#2663C2214yescomplemented
88#2658C2212yescomplemented
89#2654C2214yescomplemented
90#2651C2214yescomplemented
91#2649C2214yescomplemented
92#2647C2212yescomplemented
93#2644C2212yes—
94#2642C2212yescomplemented
95#2636C2214yes—
96#2629C2212yescomplemented
97#2628C2212yescomplemented
98#2628C2212yescomplemented
99#2625C2212yescomplemented
100#2625C2212yescomplemented
101#2624C2212yes—
102#2623C2214yes—
103#2621C2212yescomplemented
104#2620C2212yescomplemented
105#2596C2214yescomplemented
106#2596C2214yescomplemented
107#2595C2214yes—
108#2589C2214yescomplemented
109#2575C2214yescomplemented
110#2571C2211yescharacteristic, complemented
111#2570C2212yescomplemented
112#2570C2214yescomplemented
113#2562C2212yes—
114#2560C2214yescomplemented
115#2556C2214yescomplemented
116#2556C2214yescomplemented
117#2553C2214yescomplemented
118#2552C2211yescharacteristic, complemented
119#2552C2211yescharacteristic, complemented
120#2551C2211yescharacteristic, complemented
121#2550C2212yescomplemented
122#2549C2214yescomplemented
123#2547C2211yescharacteristic, complemented
124#2547C2211yescharacteristic, complemented
125#2546C2211yescharacteristic, complemented
126#2546C2211yescharacteristic, complemented
127#2542C2212yes—
128#2542C2212yes—
129#2542C2214yes—
130#2542C2211yescharacteristic
131#2542C2212yes—
132#2542C2211yescharacteristic
133#2542C2212yes—
134#2542C2211yescharacteristic
135#2542C2211yescharacteristic
136#2540C2212yes—
137#2538C2211yescharacteristic
138#2538C2211yescharacteristic
139#2537C2211yescharacteristic
140#2537C2211yescharacteristic
141#2522C2214yescomplemented
142#2521C2214yescomplemented
143#2519C2214yescomplemented
144#2516C2214yes—
145#2516C2214yescomplemented
146#2513C2212yes—
147#2512C2212yes—
148#2511C2214yescomplemented
149#2507C2212yescomplemented
150#2507C2212yescomplemented
151#2506C2212yescomplemented
152#2506C2212yescomplemented
153#2497C2212yescomplemented
154#2497C2212yescomplemented
155#2496C2212yescomplemented
156#2496C2212yescomplemented
157#2492C2212yescomplemented
158#2492C2212yescomplemented
159#2491C2212yes—
160#2490C2212yes—
161#2489C2212yescomplemented
162#2489C2212yescomplemented
163#2488C2214yescomplemented
164#2487C2212yes—
165#2487C2212yes—
166#2487C2212yes—
167#2481C2214yes—
168#2481C2214yes—
169#2480C2214yes—
170#2480C2214yes—
171#2479C2214yescomplemented
172#2479C2214yescomplemented
173#2477C2214yescomplemented
174#2473C2214yes—
175#2473C2214yes—
176#2472C2214yes—
177#2471C2214yes—
178#2467C2214yes—
179#2465C2214yescomplemented
180#2454C2212yes—
181#2454C2214yescomplemented
182#2452C2212yes—
183#2450C2214yescomplemented
184#2448C2214yescomplemented
185#2442C2212yes—
186#2442C2214yes—
187#2441C2214yescomplemented
188#2440C2212yes—
189#2438C2214yes—
190#2438C2214yescomplemented
191#2437C2214yes—
192#2436C2212yes—
193#2434C2212yes—
194#2429C2212yescomplemented
195#2429C2212yescomplemented
196#2429C2212yescomplemented
197#2429C2212yescomplemented
198#2427C2212yescomplemented
199#2427C2212yescomplemented
200#2426C2212yescomplemented
201#2426C2212yescomplemented
202#2423C2212yescomplemented
203#2423C2212yescomplemented
204#2423C2214yescomplemented
205#2422C2212yes—
206#2421C2212yescomplemented
207#2421C2212yescomplemented
208#2420C2212yes—
209#2418C2214yes—
210#2417C2214yes—
211#2412C2214yes—
212#2411C2214yes—
213#2408C2212yes—
214#2396C2214yescomplemented
215#2395C2214yescomplemented
216C2×#399C2214yes—
217#2373C2212yescomplemented
218#2373C2212yescomplemented
219#2370C2211yescharacteristic, complemented
220#2370C2211yescharacteristic, complemented
221#2369C2212yescomplemented
222#2369C2212yescomplemented
223#2367C2211yescharacteristic, complemented
224#2367C2211yescharacteristic, complemented
225#2365C2212yescomplemented
226#2365C2212yescomplemented
227#2361C2211yescharacteristic
228#2361C2211yescharacteristic
229#2360C2211yescharacteristic
230#2360C2211yescharacteristic
231#2360C2214yes—
232#2359C2212yes—
233#2359C2212yes—
234#2358C2214yes—
235#2357C2211yescharacteristic
236#2357C2211yescharacteristic
237#2353C2212yes—
238#2353C2212yes—
239#2352C2214yes—
240#2349C2211yescharacteristic
241#2349C2211yescharacteristic
242#2345C2211yescharacteristic
243#2345C2211yescharacteristic
244#2345C2212yes—
245#2345C2212yes—
246#2342C2214yes—
247#2342C2212yes—
248#2342C2212yes—
249Q8×C22⋊C4C2212yes—
250Q8×C22⋊C4C2212yes—
251D4×C22⋊C4C2211yescharacteristic
252D4×C22⋊C4C2211yescharacteristic
253#2331C2212yescomplemented
254#2331C2212yescomplemented
255#2331C2212yescomplemented
256#2330C2212yescomplemented
257#2330C2212yescomplemented
258#2324C2212yes—
259#2324C2212yes—
260#2324C2212yes—
261#2323C2212yescomplemented
262#2323C2212yescomplemented
263#2319C2212yes—
264#2316C2212yes—
265#2314C2212yescomplemented
266C4×C4⋊Q8C2212yescomplemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×C4⋊Q8C2211yescharacteristic, complemented
271C4×C22⋊Q8C2212yescomplemented
272C4×C22⋊Q8C2212yescomplemented
273C4×#121C2212yes—
274#2298C2212yescomplemented
275#2296C2212yescomplemented
276#2295C2211yescharacteristic, complemented
277#2293C2211yescharacteristic
278#2293C2211yescharacteristic
279#2293C2212yes—
280#2293C2211yescharacteristic, complemented
281C2×#390C2212yes—
282#2290C2212yes—
283#2290C2212yes—
284#2290C2212yes—
285#2285C2211yescharacteristic
286#2285C2212yescomplemented
287C2×#384C2212yes—
288#2283C2211yescharacteristic
289#2280C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic, complemented
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C23×Q8C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#542—48no—
303#541—48no—
304#533—48no—
305C2×C4⋊Q8—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315#529—28no—
316#529—48no—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8—48no—
336C2×C22⋊Q8—48no—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#120C2314yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2314yes—
369C2×C4×D4—28no—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2314yes—
395C2×#117C2314yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2314yes—
402C22×C4⋊C4C2314yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2314yes—
407C22×C22⋊C4C2314yes—
408C22×C42C2312yes—
409C22×C42C2312yes—
410C22×C42C2312yes—
411C22×C42C2312yes—
412C22×C42C2311yescharacteristic
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#392C2314yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2314yes—
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2314yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2314yes—
699#383C2312yes—
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2314yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#381C2314yes—
708#381C2314yes—
709#381C2312yes—
710#381C2312yes—
711#381C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#379C2314yes—
738#379C2312yes—
739#379C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2311yescharacteristic
812#376C2311yescharacteristic
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2312yes—
819C25C2412yes—
820C22×Q8—28no—
821C22×Q8—44no—
822C22×Q8—44no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×Q8C2414yes—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4—42no—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2414yes—
837C22×D4C2414yes—
838C23×C4—28no—
839C23×C4—44no—
840C23×C4—44no—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C4⋊Q8—28no—
860C4⋊Q8—28no—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—28no—
864C4⋊Q8—28no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868#126—28no—
869#126—48no—
870#126—48no—
871#126—48no—
872#126—48no—
873#125—28no—
874#125—24no—
875#125—44no—
876#125—48no—
877#125—48no—
878#125—48no—
879#124—24no—
880#124—44no—
881#124—44no—
882#124—48no—
883#123—28no—
884#123—48no—
885#123—48no—
886C22⋊Q8—24no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—48no—
904#121—28no—
905#121—24no—
906#121—44no—
907#121—44no—
908#121—44no—
909#120—48no—
910C4×Q8—24no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—48no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—24no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—24no—
931C4×D4—42no—
932C4×D4—42no—
933C4×D4—48no—
934C4×D4—44no—
935#117—24no—
936#117—28no—
937#117—44no—
938#117—44no—
939#117—44no—
940#117—48no—
941#117—42no—
942#117—44no—
943#117—48no—
944C2×C4⋊C4—24no—
945C2×C4⋊C4—28no—
946C2×C4⋊C4—28no—
947C2×C4⋊C4—24no—
948C2×C4⋊C4—24no—
949C2×C4⋊C4—48no—
950C2×C4⋊C4—48no—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C22⋊C4—28no—
1024C2×C22⋊C4—28no—
1025C2×C22⋊C4—48no—
1026C2×C22⋊C4—48no—
1027C2×C22⋊C4—44no—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C42—44no—
1083C2×C42—44no—
1084C2×C42—44no—
1085C2×C42—44no—
1086C2×C42#4118yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24—24no—
1194C24—24no—
1195C24—24no—
1196C24—24no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24C2512yes—
1201C24C2512yes—
1202C24C2512yes—
1203C24C2511yescharacteristic
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—28no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—28no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×Q8—816no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—416no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D42−1+414yes—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—28no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—816no—
1294C22×C4C2×#4114yes—
1295C22×C4C2×#4114yes—
1296C22×C4C2×#4114yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—28no—
1348C4⋊C4—28no—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—28no—
1352C4⋊C4—28no—
1353C4⋊C4—28no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4H(5,𝔽2)14yes—
1399C4⋊C4H(5,𝔽2)14yes—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—22no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—22no—
1407C22⋊C4—24no—
1408C22⋊C4—22no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C42−1+414yes—
1454C42—24no—
1455C42—22no—
1456C42—22no—
1457C42—24no—
1458C42—24no—
1459C42—22no—
1460C42—24no—
1461C42—22no—
1462C42—24no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—24no—
1467C42—22no—
1468C42—22no—
1469C42—24no—
1470C42—24no—
1471C42—22no—
1472C42—42no—
1473C42—42no—
1474C42—42no—
1475C42—42no—
1476C42—42no—
1477C42—42no—
1478C42—42no—
1479C42—42no—
1480C42—44no—
1481C42—41no—
1482C42—41no—
1483C42—44no—
1484C42—44no—
1485C42—42no—
1486C42—44no—
1487C42—44no—
1488C42C2×#4114yes—
1489C42C2×#4114yes—
1490C42C2×#4114yes—
1491C42C2×#4114yes—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—48no—
1517C23—48no—
1518C23—48no—
1519C23—48no—
1520C23—84no—
1521C23—84no—
1522C23—84no—
1523C23C22×#4112yes—
1524C23C2×2−1+414yes—
1525C23C2×2−1+412yes—
1526C23#58512yes—
1527C23C2611yescharacteristic
1528Q8—44no—
1529Q8—48no—
1530Q8—48no—
1531Q8—88no—
1532Q8—88no—
1533D4—28no—
1534D4—48no—
1535D4—48no—
1536D4—44no—
1537D4—44no—
1538D4—88no—
1539D4—164no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—28no—
1557C2×C4—28no—
1558C2×C4—28no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—48no—
1623C2×C4—48no—
1624C2×C4—48no—
1625C2×C4—48no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—48no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—84no—
1632C2×C4—84no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—88no—
1636C2×C4—84no—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4112yes—
1639C2×C4C22×#4112yes—
1640C2×C4C22×#4112yes—
1641C2×C4C22×#4112yes—
1642C2×C4C22×#4112yes—
1643C2×C4C2×H(5,𝔽2)14yes—
1644C2×C4C2×H(5,𝔽2)14yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4C2×H(5,𝔽2)12yes—
1647C2×C4C2×2−1+412yes—
1648C2×C4C2×2−1+412yes—
1649C2×C4C2×2−1+412yes—
1650C2×C4#58512yes—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—24no—
1658C22—24no—
1659C22—24no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—816no—
1679C22#346114yes—
1680C22C23×#4111yescharacteristic
1681C22C22×H(5,𝔽2)11yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C22×2−1+411yescharacteristic
1684C22C22×2−1+411yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22C2×#58511yescharacteristic
1687C4—22no—
1688C4—24no—
1689C4—22no—
1690C4—24no—
1691C4—22no—
1692C4—22no—
1693C4—22no—
1694C4—22no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—41no—
1699C4—42no—
1700C4—41no—
1701C4—44no—
1702C4—41no—
1703C4—42no—
1704C4—42no—
1705C4—41no—
1706C4—41no—
1707C4—42no—
1708C4—44no—
1709C4—42no—
1710C4—42no—
1711C4—44no—
1712C4—44no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4#349514yes—
1717C4#350814yes—
1718C2—24no—
1719C2—44no—
1720C2—82no—
1721C2—82no—
1722C2C2×#346111yescharacteristic
1723C2C2×#350811yescharacteristic
1724C2C2×#349511yescharacteristic
1725C2#6301311yescharacteristic
1726C2#6301511yescharacteristic
1727C2#6301611yescharacteristic
1728C2#6301811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35236C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42077C2semidirect
2. #42076C2semidirect
3. #41974C2semidirect
4. #39690C2semidirect
5. #39292C2semidirect
6. #39274C2semidirect
7. #39271C2semidirect
8. #38272C2semidirect
9. #38110C2semidirect
10. #37980C2semidirect
11. #37882C2semidirect
12. #37774C2semidirect
13. #37773C2semidirect
14. #37665C2semidirect
15. #37663C2semidirect
16. #37628C2semidirect
17. #37627C2semidirect
18. #37617C2semidirect
19. #36291C2semidirect
20. #36189C2semidirect
21. #36130C2semidirect
22. #36108C2semidirect
23. #35988C2semidirect
24. #35239C2semidirect
26. #35209C2semidirect
27. #35196C2semidirect
28. #35176C2semidirect
29. #35170C2semidirect
30. #34932C2semidirect
31. #34929C2semidirect
32. C2×#2542C2semidirect
33. #34216C2semidirect
34. #34153C2semidirect
35. #34126C2semidirect
36. C2×#542C22semidirect
37. C2×#541C22semidirect
38. C2×#533C22semidirect
41. C2×#529C22semidirect
46. #2859C22semidirect
48. #2857C22semidirect
49. #2857C22semidirect
50. #2855C22semidirect
51. #2855C22semidirect
54. #2850C22semidirect
57. #2837C22semidirect
58. #2836C22semidirect
59. #2821C22semidirect
60. #2807C22semidirect
61. #2798C22semidirect
63. #2794C22semidirect
64. #2794C22semidirect
65. #2773C22semidirect
66. #2771C22semidirect
68. #2732C22semidirect
70. #2727C22semidirect
71. #2721C22semidirect
72. #2721C22semidirect
74. #2704C22semidirect
75. #2702C22semidirect
76. #2700C22semidirect
77. #2698C22semidirect
78. #2694C22semidirect
79. #2694C22semidirect
80. #2692C22semidirect
81. #2690C22semidirect
82. #2689C22semidirect
83. #2687C22semidirect
84. #2667C22semidirect
85. #2666C22semidirect
86. #2664C22semidirect
87. #2663C22semidirect
88. #2658C22semidirect
89. #2654C22semidirect
90. #2651C22semidirect
91. #2649C22semidirect
92. #2647C22semidirect
94. #2642C22semidirect
96. #2629C22semidirect
97. #2628C22semidirect
98. #2628C22semidirect
99. #2625C22semidirect
100. #2625C22semidirect
103. #2621C22semidirect
104. #2620C22semidirect
105. #2596C22semidirect
106. #2596C22semidirect
108. #2589C22semidirect
109. #2575C22semidirect
110. #2571C22semidirect
111. #2570C22semidirect
112. #2570C22semidirect
114. #2560C22semidirect
115. #2556C22semidirect
116. #2556C22semidirect
117. #2553C22semidirect
118. #2552C22semidirect
119. #2552C22semidirect
120. #2551C22semidirect
121. #2550C22semidirect
122. #2549C22semidirect
123. #2547C22semidirect
124. #2547C22semidirect
125. #2546C22semidirect
126. #2546C22semidirect
141. #2522C22semidirect
142. #2521C22semidirect
143. #2519C22semidirect
145. #2516C22semidirect
148. #2511C22semidirect
149. #2507C22semidirect
150. #2507C22semidirect
151. #2506C22semidirect
152. #2506C22semidirect
153. #2497C22semidirect
154. #2497C22semidirect
155. #2496C22semidirect
156. #2496C22semidirect
157. #2492C22semidirect
158. #2492C22semidirect
161. #2489C22semidirect
162. #2489C22semidirect
163. #2488C22semidirect
171. #2479C22semidirect
172. #2479C22semidirect
173. #2477C22semidirect
179. #2465C22semidirect
181. #2454C22semidirect
183. #2450C22semidirect
184. #2448C22semidirect
187. #2441C22semidirect
190. #2438C22semidirect
194. #2429C22semidirect
195. #2429C22semidirect
196. #2429C22semidirect
197. #2429C22semidirect
198. #2427C22semidirect
199. #2427C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
202. #2423C22semidirect
203. #2423C22semidirect
204. #2423C22semidirect
206. #2421C22semidirect
207. #2421C22semidirect
214. #2396C22semidirect
215. #2395C22semidirect
217. #2373C22semidirect
218. #2373C22semidirect
219. #2370C22semidirect
220. #2370C22semidirect
221. #2369C22semidirect
222. #2369C22semidirect
223. #2367C22semidirect
224. #2367C22semidirect
225. #2365C22semidirect
226. #2365C22semidirect
253. #2331C22semidirect
254. #2331C22semidirect
255. #2331C22semidirect
256. #2330C22semidirect
257. #2330C22semidirect
261. #2323C22semidirect
262. #2323C22semidirect
265. #2314C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
274. #2298C22semidirect
275. #2296C22semidirect
276. #2295C22semidirect
280. #2293C22semidirect
286. #2285C22semidirect
291. C42×Q8C22semidirect
295. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#420772
#420762
#419742
#396902
#392922
#392742
#392712
#382722
#381102
#379802
#378822
#377742
#377732
#376652
#376632
#376282
#376272
#376172
#362912
#361892
#361302
#361082
#359882
#352392
#352362
#352092
#351962
#351762
#351702
#349322
#349292
C2×#25422
#342162
#341532
#341262