Finite Group Databasebeta

← #7647867

Subgroups — #7647867

Order 512.

4454 conjugacy classes of subgroups.

The subgroup lattice has 1658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42161C214yesmaximal, complemented
2#42160C214yesmaximal, complemented
3#40687C214yesmaximal, complemented
4#40680C214yesmaximal, complemented
5#39510C212yesmaximal, complemented
6#39509C212yesmaximal, complemented
7#39197C212yesmaximal, complemented
8#39196C212yesmaximal, complemented
9#37859C212yesmaximal, complemented
10#37858C212yesmaximal, complemented
11#37857C212yesmaximal, complemented
12#37856C212yesmaximal, complemented
13#37637C211yesmaximal, characteristic, complemented
14#37636C211yesmaximal, characteristic, complemented
15#37631C211yesmaximal, characteristic, complemented
16#37627C211yesmaximal, characteristic, complemented
17#37415C212yesmaximal, complemented
18#37410C212yesmaximal, complemented
19#37371C212yesmaximal, complemented
20#37365C212yesmaximal, complemented
21#35651C212yesmaximal, complemented
22#35593C212yesmaximal, complemented
23#35340C212yesmaximal, complemented
24#35290C212yesmaximal, complemented
25#35236C211yesmaximal, characteristic
26#35207C211yesmaximal, characteristic, complemented
27#35201C211yesmaximal, characteristic, complemented
28#35196C211yesmaximal, characteristic, complemented
29#35185C211yesmaximal, characteristic, complemented
30#35184C211yesmaximal, characteristic, complemented
31#34978C211yesmaximal, characteristic, complemented
32#34946C211yesmaximal, characteristic, complemented
33#34225C211yesmaximal, characteristic, complemented
34#34151C211yesmaximal, characteristic, complemented
35#34058C211yesmaximal, characteristic, complemented
36C2×#533C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39#2864C2212yescomplemented
40#2863C2212yescomplemented
41#2861C2212yes—
42#2861C2212yescomplemented
43#2860C2212yes—
44#2859C2212yescomplemented
45#2855C2212yescomplemented
46#2854C2212yes—
47#2851C2212yescomplemented
48#2850C2212yes—
49#2848C2212yes—
50#2847C2212yes—
51#2838C2214yescomplemented
52#2837C2214yescomplemented
53#2832C2214yescomplemented
54#2831C2214yescomplemented
55#2810C2214yescomplemented
56#2808C2214yes—
57#2807C2214yescomplemented
58#2805C2214yescomplemented
59#2803C2214yes—
60#2803C2214yes—
61#2800C2214yes—
62#2800C2214yes—
63#2798C2214yescomplemented
64#2797C2214yes—
65#2776C2214yescomplemented
66#2776C2214yescomplemented
67#2773C2214yescomplemented
68#2771C2214yescomplemented
69#2746C2214yes—
70#2745C2214yes—
71#2744C2214yes—
72#2743C2214yes—
73#2740C2214yes—
74#2739C2214yes—
75#2738C2214yes—
76#2737C2214yes—
77#2736C2214yes—
78#2735C2214yes—
79#2735C2214yes—
80#2735C2214yes—
81#2727C2214yes—
82#2710C2214yes—
83#2697C2214yes—
84#2685C2214yes—
85#2685C2214yes—
86#2684C2214yes—
87#2663C2214yes—
88#2654C2214yescomplemented
89#2653C2214yescomplemented
90#2651C2214yescomplemented
91#2650C2214yescomplemented
92#2650C2214yescomplemented
93#2649C2214yescomplemented
94#2647C2212yescomplemented
95#2645C2212yescomplemented
96#2644C2212yes—
97#2640C2212yes—
98#2637C2214yescomplemented
99#2636C2214yes—
100#2632C2214yescomplemented
101#2629C2212yescomplemented
102#2629C2212yescomplemented
103#2628C2212yescomplemented
104#2628C2212yescomplemented
105#2628C2212yescomplemented
106#2625C2212yescomplemented
107#2625C2212yescomplemented
108#2625C2212yescomplemented
109#2624C2212yes—
110#2624C2212yescomplemented
111#2624C2212yescomplemented
112#2620C2212yes—
113#2612C2214yescomplemented
114#2604C2214yescomplemented
115#2597C2214yescomplemented
116#2596C2214yescomplemented
117#2596C2214yescomplemented
118#2595C2214yescomplemented
119#2594C2214yescomplemented
120#2594C2214yescomplemented
121#2593C2214yescomplemented
122#2593C2214yescomplemented
123#2578C2214yescomplemented
124#2577C2214yescomplemented
125#2576C2214yescomplemented
126#2575C2214yescomplemented
127#2574C2214yescomplemented
128#2573C2214yescomplemented
129#2572C2214yescomplemented
130#2571C2211yescharacteristic, complemented
131#2568C2211yescharacteristic, complemented
132#2567C2211yescharacteristic, complemented
133#2563C2211yescharacteristic
134#2563C2211yescharacteristic
135#2563C2211yescharacteristic, complemented
136#2562C2212yes—
137#2562C2212yes—
138#2562C2212yes—
139#2561C2214yes—
140#2553C2214yescomplemented
141#2552C2211yescharacteristic, complemented
142#2552C2211yescharacteristic, complemented
143#2551C2211yescharacteristic, complemented
144#2547C2211yescharacteristic
145#2547C2211yescharacteristic
146#2542C2211yescharacteristic, complemented
147#2540C2212yes—
148#2538C2211yescharacteristic
149#2538C2211yescharacteristic
150#2537C2211yescharacteristic
151#2537C2211yescharacteristic
152#2531C2214yescomplemented
153#2530C2214yescomplemented
154#2527C2214yescomplemented
155#2526C2214yescomplemented
156#2525C2214yescomplemented
157#2525C2214yescomplemented
158#2525C2214yescomplemented
159#2522C2214yescomplemented
160#2521C2214yescomplemented
161#2516C2214yescomplemented
162#2516C2214yescomplemented
163#2516C2214yescomplemented
164#2515C2214yescomplemented
165#2513C2212yes—
166#2513C2214yescomplemented
167#2512C2212yes—
168#2509C2212yescomplemented
169#2508C2212yescomplemented
170#2503C2212yes—
171#2500C2212yes—
172#2499C2212yes—
173#2497C2212yescomplemented
174#2497C2212yescomplemented
175#2496C2212yescomplemented
176#2496C2212yescomplemented
177#2495C2212yescomplemented
178#2495C2212yescomplemented
179#2495C2212yescomplemented
180#2494C2212yescomplemented
181#2494C2212yescomplemented
182#2494C2212yescomplemented
183#2492C2212yescomplemented
184#2491C2212yes—
185#2491C2212yescomplemented
186#2490C2212yes—
187#2490C2212yescomplemented
188#2489C2212yescomplemented
189#2487C2212yes—
190#2469C2214yescomplemented
191#2469C2214yescomplemented
192#2469C2214yescomplemented
193#2458C2214yescomplemented
194#2458C2214yescomplemented
195#2453C2212yescomplemented
196#2451C2212yescomplemented
197#2448C2212yes—
198#2448C2212yes—
199#2448C2214yescomplemented
200#2441C2212yes—
201#2441C2212yes—
202#2439C2212yes—
203#2439C2212yes—
204#2435C2212yes—
205#2426C2212yes—
206#2426C2212yes—
207#2423C2212yescomplemented
208#2423C2212yescomplemented
209#2422C2212yescomplemented
210#2421C2212yescomplemented
211#2421C2212yescomplemented
212#2420C2212yescomplemented
213#2415C2212yes—
214#2415C2212yes—
215#2411C2214yes—
216#2408C2212yes—
217#2398C2214yes—
218#2396C2214yes—
219#2374C2212yes—
220#2374C2212yes—
221#2373C2212yescomplemented
222#2373C2212yescomplemented
223#2370C2212yescomplemented
224#2370C2212yescomplemented
225#2370C2211yescharacteristic, complemented
226#2370C2211yescharacteristic, complemented
227#2367C2211yescharacteristic, complemented
228#2367C2211yescharacteristic, complemented
229#2363C2211yescharacteristic
230#2363C2211yescharacteristic
231#2362C2211yescharacteristic
232#2362C2211yescharacteristic
233#2362C2212yes—
234#2362C2212yes—
235#2356C2212yescomplemented
236#2351C2212yescomplemented
237#2347C2212yes—
238#2346C2212yes—
239#2324C2212yes—
240#2324C2212yes—
241#2324C2212yescomplemented
242#2324C2212yescomplemented
243#2323C2212yes—
244#2323C2212yes—
245#2323C2212yescomplemented
246#2323C2212yescomplemented
247#2323C2212yescomplemented
248#2323C2212yescomplemented
249#2320C2212yescomplemented
250#2319C2211yescharacteristic
251#2319C2211yescharacteristic
252#2319C2211yescharacteristic
253#2319C2212yes—
254#2319C2212yes—
255#2319C2211yescharacteristic
256#2316C2211yescharacteristic
257#2316C2211yescharacteristic
258#2314C2212yescomplemented
259#2314C2212yescomplemented
260#2314C2212yescomplemented
261#2314C2212yescomplemented
262#2312C2212yes—
263#2312C2212yes—
264#2309C2211yescharacteristic
265#2309C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2212yescomplemented
269C4×C4⋊Q8C2212yescomplemented
270C4×C4⋊Q8C2211yescharacteristic, complemented
271C4×C4⋊Q8C2211yescharacteristic, complemented
272C4×#125C2212yescomplemented
273C4×#125C2212yescomplemented
274C4×#124C2212yes—
275C4×#124C2212yes—
276#2298C2212yescomplemented
277#2295C2211yescharacteristic, complemented
278#2293C2211yescharacteristic
279#2293C2211yescharacteristic
280#2293C2212yes—
281#2293C2212yes—
282#2293C2211yescharacteristic
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2293C2211yescharacteristic, complemented
286#2290C2212yes—
287#2285C2211yescharacteristic
288#2280C2212yes—
289#2280C2212yes—
290#2280C2212yes—
291#2280C2212yes—
292#2276C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic, complemented
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yescomplemented
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306#529—28no—
307C2×#126C2312yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2311yescharacteristic
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2314yes—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×#121C2311yescharacteristic
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#120C2314yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2314yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×D4—28no—
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2312yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C22⋊C4C2312yes—
370C22×C42C2312yes—
371C22×C42C2311yescharacteristic
372#401C2314yes—
373#401C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#392C2314yes—
468#391C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2314yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2314yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2314yes—
504#390C2314yes—
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#383C2314yes—
687#383C2314yes—
688#383C2314yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2314yes—
696#382C2312yes—
697#382C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2312yes—
701#381C2314yes—
702#381C2312yes—
703#381C2312yes—
704#381C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#379C2314yes—
732#379C2314yes—
733#379C2312yes—
734#379C2312yes—
735#379C2312yes—
736#379C2312yes—
737#379C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
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—
802#376C2311yescharacteristic
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2314yes—
806#376C2312yes—
807#376C2312yes—
808C43C2312yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C25C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×D4—24no—
819C22×D4—42no—
820C22×D4—42no—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2414yes—
827C22×D4C2414yes—
828C23×C4—28no—
829C23×C4—44no—
830C23×C4—44no—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844C4⋊Q8—44no—
845C4⋊Q8—44no—
846#126—28no—
847#126—84no—
848#126—84no—
849#125—24no—
850#125—28no—
851#125—44no—
852#125—44no—
853#124—24no—
854#124—44no—
855#124—44no—
856#124—84no—
857#123—28no—
858#123—84no—
859C22⋊Q8—24no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865C22⋊Q8—44no—
866#121—24no—
867#121—44no—
868#121—44no—
869#121—44no—
870#121—44no—
871#120—84no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—42no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—84no—
880C4×Q8—82no—
881C4×Q8—82no—
882C4×D4—28no—
883C4×D4—24no—
884C4×D4—24no—
885C4×D4—24no—
886C4×D4—24no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—42no—
891C4×D4—42no—
892#117—28no—
893#117—28no—
894#117—42no—
895#117—42no—
896#117—44no—
897#117—44no—
898#117—44no—
899#117—44no—
900#117—44no—
901#117—42no—
902#117—42no—
903#117—42no—
904#117—42no—
905#117—82no—
906C2×C4⋊C4—24no—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C22⋊C4—28no—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C42—44no—
1036C2×C42#4118yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2412yes—
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150C24—24no—
1151C24—42no—
1152C24—42no—
1153C24—42no—
1154C24—42no—
1155C24—42no—
1156C24—42no—
1157C24C2512yes—
1158C24C2512yes—
1159C24C2512yes—
1160C24C2511yescharacteristic
1161C2×Q8—22no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—24no—
1167C2×Q8—24no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—44no—
1171C2×Q8—44no—
1172C2×Q8—44no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—416no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—816no—
1226C22×C4C2×#4114yes—
1227C22×C4C2×#4114yes—
1228C22×C4C2×#4114yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2514yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C22⋊C4—28no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—41no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—41no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C42—24no—
1388C42—28no—
1389C42—22no—
1390C42—24no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—24no—
1397C42—24no—
1398C42—22no—
1399C42—22no—
1400C42—24no—
1401C42—42no—
1402C42—42no—
1403C42—42no—
1404C42—42no—
1405C42—41no—
1406C42—41no—
1407C42—42no—
1408C42—42no—
1409C42—42no—
1410C42—42no—
1411C42—42no—
1412C42—44no—
1413C42—44no—
1414C42—44no—
1415C42—42no—
1416C42—42no—
1417C42—42no—
1418C42—42no—
1419C42—41no—
1420C42—41no—
1421C42—44no—
1422C42—44no—
1423C42—42no—
1424C42C2×#4114yes—
1425C42C2×#4114yes—
1426C42C2×#4114yes—
1427C42C2×#4114yes—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—48no—
1456C23—84no—
1457C23—84no—
1458C23—84no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23C22×#4112yes—
1463C23C2611yescharacteristic
1464Q8—48no—
1465Q8—48no—
1466Q8—44no—
1467Q8—88no—
1468D4—48no—
1469D4—44no—
1470D4—44no—
1471D4—44no—
1472D4—84no—
1473D4—164no—
1474D4—164no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—28no—
1484C2×C4—28no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—44no—
1561C2×C4—48no—
1562C2×C4—48no—
1563C2×C4—48no—
1564C2×C4—84no—
1565C2×C4—84no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—84no—
1569C2×C4C22×#4112yes—
1570C2×C4C22×#4112yes—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4112yes—
1573C2×C4C22×#4112yes—
1574C2×C4C22×#4112yes—
1575C2×C4#58512yes—
1576C2×C4#58512yes—
1577C2×C4#58512yes—
1578C2×C4#58512yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—816no—
1608C22C23×#4111yescharacteristic
1609C22C2×#58511yescharacteristic
1610C22C2×#58511yescharacteristic
1611C22C2×#58511yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22H(7,𝔽2)11yescharacteristic
1614C222−1+611yescharacteristic
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—22no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—44no—
1624C4—41no—
1625C4—42no—
1626C4—42no—
1627C4—41no—
1628C4—41no—
1629C4—42no—
1630C4—42no—
1631C4—41no—
1632C4—44no—
1633C4—41no—
1634C4—41no—
1635C4—44no—
1636C4—42no—
1637C4—42no—
1638C4—41no—
1639C4—41no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—44no—
1644C4#345514yes—
1645C4#351014yes—
1646C2—42no—
1647C2—82no—
1648C2—82no—
1649C2—82no—
1650C2C2×#345511yescharacteristic
1651C2C2×#351011yescharacteristic
1652C2#6285611yescharacteristic
1653C2#6293611yescharacteristic
1654C2#6293711yescharacteristic
1655C2#6293811yescharacteristic
1656C2#6293911yescharacteristic
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. #42161C2semidirect
2. #42160C2semidirect
3. #40687C2semidirect
4. #40680C2semidirect
5. #39510C2semidirect
6. #39509C2semidirect
7. #39197C2semidirect
8. #39196C2semidirect
9. #37859C2semidirect
10. #37858C2semidirect
11. #37857C2semidirect
12. #37856C2semidirect
13. #37637C2semidirect
14. #37636C2semidirect
15. #37631C2semidirect
16. #37627C2semidirect
17. #37415C2semidirect
18. #37410C2semidirect
19. #37371C2semidirect
20. #37365C2semidirect
21. #35651C2semidirect
22. #35593C2semidirect
23. #35340C2semidirect
24. #35290C2semidirect
26. #35207C2semidirect
27. #35201C2semidirect
28. #35196C2semidirect
29. #35185C2semidirect
30. #35184C2semidirect
31. #34978C2semidirect
32. #34946C2semidirect
33. #34225C2semidirect
34. #34151C2semidirect
35. #34058C2semidirect
39. #2864C22semidirect
40. #2863C22semidirect
42. #2861C22semidirect
44. #2859C22semidirect
45. #2855C22semidirect
47. #2851C22semidirect
51. #2838C22semidirect
52. #2837C22semidirect
53. #2832C22semidirect
54. #2831C22semidirect
55. #2810C22semidirect
57. #2807C22semidirect
58. #2805C22semidirect
63. #2798C22semidirect
65. #2776C22semidirect
66. #2776C22semidirect
67. #2773C22semidirect
68. #2771C22semidirect
88. #2654C22semidirect
89. #2653C22semidirect
90. #2651C22semidirect
91. #2650C22semidirect
92. #2650C22semidirect
93. #2649C22semidirect
94. #2647C22semidirect
95. #2645C22semidirect
98. #2637C22semidirect
100. #2632C22semidirect
101. #2629C22semidirect
102. #2629C22semidirect
103. #2628C22semidirect
104. #2628C22semidirect
105. #2628C22semidirect
106. #2625C22semidirect
107. #2625C22semidirect
108. #2625C22semidirect
110. #2624C22semidirect
111. #2624C22semidirect
113. #2612C22semidirect
114. #2604C22semidirect
115. #2597C22semidirect
116. #2596C22semidirect
117. #2596C22semidirect
118. #2595C22semidirect
119. #2594C22semidirect
120. #2594C22semidirect
121. #2593C22semidirect
122. #2593C22semidirect
123. #2578C22semidirect
124. #2577C22semidirect
125. #2576C22semidirect
126. #2575C22semidirect
127. #2574C22semidirect
128. #2573C22semidirect
129. #2572C22semidirect
130. #2571C22semidirect
131. #2568C22semidirect
132. #2567C22semidirect
135. #2563C22semidirect
140. #2553C22semidirect
141. #2552C22semidirect
142. #2552C22semidirect
143. #2551C22semidirect
146. #2542C22semidirect
152. #2531C22semidirect
153. #2530C22semidirect
154. #2527C22semidirect
155. #2526C22semidirect
156. #2525C22semidirect
157. #2525C22semidirect
158. #2525C22semidirect
159. #2522C22semidirect
160. #2521C22semidirect
161. #2516C22semidirect
162. #2516C22semidirect
163. #2516C22semidirect
164. #2515C22semidirect
166. #2513C22semidirect
168. #2509C22semidirect
169. #2508C22semidirect
173. #2497C22semidirect
174. #2497C22semidirect
175. #2496C22semidirect
176. #2496C22semidirect
177. #2495C22semidirect
178. #2495C22semidirect
179. #2495C22semidirect
180. #2494C22semidirect
181. #2494C22semidirect
182. #2494C22semidirect
183. #2492C22semidirect
185. #2491C22semidirect
187. #2490C22semidirect
188. #2489C22semidirect
190. #2469C22semidirect
191. #2469C22semidirect
192. #2469C22semidirect
193. #2458C22semidirect
194. #2458C22semidirect
195. #2453C22semidirect
196. #2451C22semidirect
199. #2448C22semidirect
207. #2423C22semidirect
208. #2423C22semidirect
209. #2422C22semidirect
210. #2421C22semidirect
211. #2421C22semidirect
212. #2420C22semidirect
221. #2373C22semidirect
222. #2373C22semidirect
223. #2370C22semidirect
224. #2370C22semidirect
225. #2370C22semidirect
226. #2370C22semidirect
227. #2367C22semidirect
228. #2367C22semidirect
235. #2356C22semidirect
236. #2351C22semidirect
241. #2324C22semidirect
242. #2324C22semidirect
245. #2323C22semidirect
246. #2323C22semidirect
247. #2323C22semidirect
248. #2323C22semidirect
249. #2320C22semidirect
258. #2314C22semidirect
259. #2314C22semidirect
260. #2314C22semidirect
261. #2314C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×#125C22semidirect
273. C4×#125C22semidirect
276. #2298C22semidirect
277. #2295C22semidirect
285. #2293C22semidirect
292. #2276C22semidirect
293. C42×Q8C22semidirect
294. C42×D4C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#421612
#421602
#406872
#406802
#395102
#395092
#391972
#391962
#378592
#378582
#378572
#378562
#376372
#376362
#376312
#376272
#374152
#374102
#373712
#373652
#356512
#355932
#353402
#352902
#352362
#352072
#352012
#351962
#351852
#351842
#349782
#349462
#342252
#341512
#340582