Finite Group Databasebeta

← #7647850

Subgroups — #7647850

Order 512.

5060 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41734C214yesmaximal, complemented
2#41631C214yesmaximal, complemented
3#41114C214yesmaximal, complemented
4#40967C214yesmaximal, complemented
5#39437C212yesmaximal, complemented
6#39432C212yesmaximal, complemented
7#39272C212yesmaximal, complemented
8#39268C212yesmaximal, complemented
9#37784C212yesmaximal, complemented
10#37781C212yesmaximal, complemented
11#37774C212yesmaximal, complemented
12#37773C212yesmaximal, complemented
13#37640C211yesmaximal, characteristic, complemented
14#37628C211yesmaximal, characteristic, complemented
15#37625C211yesmaximal, characteristic, complemented
16#37619C211yesmaximal, characteristic, complemented
17#37337C212yesmaximal, complemented
18#37336C212yesmaximal, complemented
19#37318C212yesmaximal, complemented
20#37315C212yesmaximal, complemented
21#35580C212yesmaximal, complemented
22#35562C212yesmaximal, complemented
23#35295C212yesmaximal, complemented
24#35288C212yesmaximal, complemented
25#35239C211yesmaximal, characteristic, complemented
26#35209C211yesmaximal, characteristic, complemented
27#35198C211yesmaximal, characteristic, complemented
28#35197C211yesmaximal, characteristic, complemented
29#35176C211yesmaximal, characteristic, complemented
30#35166C211yesmaximal, characteristic
31#34934C211yesmaximal, characteristic, complemented
32#34929C211yesmaximal, characteristic, complemented
33#34226C211yesmaximal, characteristic, complemented
34#34145C211yesmaximal, characteristic, complemented
35#34086C211yesmaximal, characteristic, complemented
36C2×#542C2212yes—
37C2×#541C2212yes—
38C2×#537C2212yes—
39C2×#537C2212yes—
40C2×#533C2211yescharacteristic
41C2×#533C2212yes—
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#529C2212yes—
45#2860C2212yes—
46#2860C2212yes—
47#2859C2212yes—
48#2858C2212yes—
49#2857C2212yes—
50#2857C2212yes—
51#2856C2212yes—
52#2856C2212yes—
53#2855C2212yes—
54#2854C2212yes—
55#2851C2212yes—
56#2850C2212yes—
57#2836C2214yes—
58#2829C2214yes—
59#2820C2214yes—
60#2816C2214yes—
61#2808C2214yes—
62#2798C2214yes—
63#2796C2214yes—
64#2796C2214yes—
65#2754C2214yes—
66#2732C2214yes—
67#2730C2214yes—
68#2727C2214yes—
69#2724C2214yes—
70#2721C2214yes—
71#2721C2214yes—
72#2712C2214yes—
73#2711C2214yes—
74#2711C2214yes—
75#2710C2214yes—
76#2708C2214yes—
77#2708C2214yes—
78#2705C2214yes—
79#2704C2214yes—
80#2701C2214yes—
81#2698C2214yes—
82#2694C2214yes—
83#2694C2214yes—
84#2691C2214yes—
85#2691C2214yes—
86#2691C2214yes—
87#2690C2214yes—
88#2689C2214yes—
89#2686C2214yes—
90#2681C2214yes—
91#2681C2214yes—
92#2672C2214yes—
93#2667C2214yes—
94#2666C2214yes—
95#2664C2214yes—
96#2662C2214yes—
97#2658C2212yes—
98#2656C2214yes—
99#2654C2214yes—
100#2648C2214yes—
101#2647C2212yes—
102#2644C2212yes—
103#2644C2212yes—
104#2641C2212yes—
105#2640C2212yes—
106#2633C2214yes—
107#2630C2214yes—
108#2625C2212yes—
109#2624C2212yes—
110#2624C2212yes—
111#2624C2212yes—
112#2624C2212yes—
113#2624C2212yes—
114#2621C2212yes—
115#2620C2214yes—
116#2620C2212yes—
117#2616C2212yes—
118#2616C2212yes—
119#2607C2214yes—
120#2597C2214yes—
121#2597C2214yes—
122#2589C2214yes—
123#2580C2212yes—
124#2580C2212yes—
125#2571C2211yescharacteristic
126#2570C2212yes—
127#2567C2212yes—
128#2559C2214yes—
129#2559C2214yes—
130#2559C2214yes—
131#2557C2214yes—
132#2556C2214yes—
133#2556C2214yes—
134#2554C2214yes—
135#2552C2211yescharacteristic
136#2552C2211yescharacteristic
137#2551C2211yescharacteristic
138#2550C2212yes—
139#2549C2214yes—
140#2548C2212yes—
141#2548C2211yescharacteristic
142#2548C2211yescharacteristic
143#2547C2212yes—
144#2546C2211yescharacteristic
145#2546C2211yescharacteristic
146#2542C2212yes—
147#2542C2211yescharacteristic
148#2542C2211yescharacteristic
149#2542C2212yes—
150#2541C2211yescharacteristic
151#2541C2211yescharacteristic
152#2541C2212yes—
153#2540C2214yes—
154#2540C2212yes—
155#2540C2212yes—
156#2538C2211yescharacteristic
157#2538C2211yescharacteristic
158#2538C2211yescharacteristic
159#2538C2211yescharacteristic
160#2522C2214yes—
161#2519C2214yes—
162#2513C2214yes—
163#2513C2212yes—
164#2513C2212yes—
165#2512C2212yes—
166#2512C2212yes—
167#2507C2212yes—
168#2507C2212yes—
169#2506C2212yes—
170#2506C2212yes—
171#2492C2212yes—
172#2491C2212yes—
173#2490C2212yes—
174#2490C2214yes—
175#2489C2212yes—
176#2479C2214yes—
177#2479C2214yes—
178#2476C2214yes—
179#2476C2214yes—
180#2476C2214yes—
181#2471C2214yes—
182#2467C2214yes—
183#2465C2214yes—
184#2461C2214yes—
185#2459C2214yes—
186#2457C2214yes—
187#2454C2212yes—
188#2454C2214yes—
189#2454C2212yes—
190#2452C2212yes—
191#2452C2212yes—
192#2448C2214yes—
193#2447C2214yes—
194#2445C2212yes—
195#2445C2212yes—
196#2445C2212yes—
197#2445C2212yes—
198#2444C2214yes—
199#2442C2212yes—
200#2441C2214yes—
201#2440C2212yes—
202#2438C2214yes—
203#2438C2214yes—
204#2432C2212yes—
205#2432C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2427C2214yes—
211#2427C2212yes—
212#2427C2212yes—
213#2426C2212yes—
214#2426C2212yes—
215#2426C2214yes—
216#2425C2214yes—
217#2423C2212yes—
218#2423C2214yes—
219#2422C2212yes—
220#2421C2212yes—
221#2420C2214yes—
222#2420C2212yes—
223#2396C2214yes—
224#2392C2214yes—
225#2370C2212yes—
226#2370C2212yes—
227#2369C2211yescharacteristic
228#2369C2211yescharacteristic
229#2368C2212yes—
230#2368C2212yes—
231#2367C2212yes—
232#2367C2212yes—
233#2365C2211yescharacteristic
234#2365C2211yescharacteristic
235#2363C2212yes—
236#2363C2212yes—
237#2360C2211yescharacteristic
238#2360C2211yescharacteristic
239#2360C2211yescharacteristic
240#2360C2211yescharacteristic
241#2357C2212yes—
242#2349C2212yes—
243#2341C2212yes—
244#2339C2212yes—
245#2337C2212yes—
246#2337C2212yes—
247#2333C2212yes—
248#2333C2212yes—
249#2331C2211yescharacteristic
250#2331C2211yescharacteristic
251#2331C2212yes—
252#2330C2212yes—
253#2330C2212yes—
254#2328C2211yescharacteristic
255#2328C2211yescharacteristic
256#2328C2212yes—
257#2324C2211yescharacteristic
258#2324C2211yescharacteristic
259#2324C2211yescharacteristic
260#2324C2211yescharacteristic
261#2324C2212yes—
262#2324C2212yes—
263#2324C2212yes—
264#2323C2212yes—
265#2319C2212yes—
266#2319C2212yes—
267#2319C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2212yes—
270C4×C4⋊Q8C2211yescharacteristic
271C4×#127C2211yescharacteristic
272C4×#127C2212yes—
273C4×#127C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×#121C2212yes—
276#2297C2212yes—
277#2297C2212yes—
278#2296C2212yes—
279#2295C2211yescharacteristic
280#2295C2212yes—
281#2295C2212yes—
282#2295C2211yescharacteristic
283#2293C2211yescharacteristic
284#2293C2211yescharacteristic
285#2293C2212yes—
286#2293C2212yes—
287#2290C2212yes—
288#2290C2212yes—
289#2285C2211yescharacteristic
290#2283C2211yescharacteristic
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301#542—48no—
302#541—48no—
303#537—48no—
304#537—48no—
305#533—28no—
306#533—48no—
307#532—28no—
308#532—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2312yes—
321#529—48no—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#125C2314yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2314yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2314yes—
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2314yes—
407C2×#117C2314yes—
408C2×#117C2312yes—
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C42C2312yes—
412C22×C42C2312yes—
413C22×C42C2312yes—
414C22×C42C2311yescharacteristic
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2314yes—
603#389C2314yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2314yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2312yes—
719#384C2314yes—
720#384C2312yes—
721#384C2312yes—
722#383C2312yes—
723#382C2312yes—
724#382C2311yescharacteristic
725#382C2312yes—
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2314yes—
729#381C2312yes—
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
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⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
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—
808#376C2312yes—
809#376C2311yescharacteristic
810#376C2311yescharacteristic
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C43C2312yes—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C4⋊Q8—28no—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—24no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867#127—24no—
868#127—24no—
869#127—44no—
870#127—44no—
871#126—48no—
872#126—48no—
873#126—48no—
874#126—48no—
875#125—28no—
876#125—28no—
877#125—44no—
878#125—48no—
879#125—48no—
880#125—48no—
881#124—28no—
882#124—28no—
883#124—44no—
884#124—44no—
885#124—48no—
886#124—84no—
887#124—84no—
888#123—48no—
889#123—48no—
890#123—84no—
891#123—84no—
892C22⋊Q8—24no—
893C22⋊Q8—24no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—84no—
908#121—24no—
909#121—24no—
910#121—28no—
911#121—28no—
912#121—28no—
913#121—28no—
914#121—28no—
915#121—48no—
916#121—48no—
917#121—48no—
918#121—48no—
919#121—44no—
920#121—44no—
921#121—48no—
922#121—48no—
923C4×Q8—24no—
924C4×Q8—24no—
925C4×Q8—24no—
926C4×Q8—24no—
927C4×Q8—24no—
928C4×Q8—24no—
929C4×Q8—28no—
930C4×Q8—44no—
931C4×Q8—48no—
932C4×Q8—44no—
933C4×D4—24no—
934C4×D4—24no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—28no—
941C4×D4—42no—
942C4×D4—44no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—48no—
946C4×D4—44no—
947C4×D4—82no—
948C4×D4—84no—
949C4×D4—82no—
950#117—28no—
951#117—24no—
952#117—42no—
953#117—44no—
954#117—44no—
955#117—48no—
956#117—48no—
957#117—82no—
958C2×C4⋊C4—24no—
959C2×C4⋊C4—24no—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C42—44no—
1087C2×C42—44no—
1088C2×C42—44no—
1089C2×C42#4118yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2412yes—
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
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#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2512yes—
1194C24C2514yes—
1195C24C2512yes—
1196C24C2511yescharacteristic
1197#41—816no—
1198#41—816no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—28no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—44no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—42no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—28no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—28no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—28no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—24no—
1275C22×C4—42no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—41no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4C2×#4114yes—
1299C22×C4C2×#4114yes—
1300C22×C4C2×#4114yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2514yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—28no—
1351C4⋊C4—28no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—28no—
1360C4⋊C4—28no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
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—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4H(5,𝔽2)14yes—
1400C4⋊C4H(5,𝔽2)14yes—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C42—24no—
1459C42—24no—
1460C42—22no—
1461C42—22no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—22no—
1466C42—24no—
1467C42—22no—
1468C42—24no—
1469C42—24no—
1470C42—22no—
1471C42—24no—
1472C42—24no—
1473C42—22no—
1474C42—22no—
1475C42—42no—
1476C42—42no—
1477C42—42no—
1478C42—42no—
1479C42—42no—
1480C42—42no—
1481C42—42no—
1482C42—41no—
1483C42—41no—
1484C42—42no—
1485C42—44no—
1486C42—44no—
1487C42—41no—
1488C42—42no—
1489C42—41no—
1490C42—44no—
1491C42—42no—
1492C42C2×#4114yes—
1493C42C2×#4114yes—
1494C42C2×#4114yes—
1495C42C2×#4114yes—
1496C422−1+414yes—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—22no—
1504C23—22no—
1505C23—24no—
1506C23—22no—
1507C23—22no—
1508C23—24no—
1509C23—24no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—24no—
1514C23—22no—
1515C23—22no—
1516C23—24no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—24no—
1521C23—24no—
1522C23—22no—
1523C23—22no—
1524C23C22×#4112yes—
1525C23C2611yescharacteristic
1526Q8—44no—
1527Q8—44no—
1528Q8—48no—
1529Q8—84no—
1530Q8—88no—
1531Q8—84no—
1532D4—48no—
1533D4—44no—
1534D4—44no—
1535D4—48no—
1536D4—48no—
1537D4—84no—
1538D4—88no—
1539D4—88no—
1540D4—84no—
1541D4—84no—
1542D4—84no—
1543D4—88no—
1544D4—164no—
1545D4—164no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—28no—
1563C2×C4—28no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—24no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—44no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—48no—
1631C2×C4—84no—
1632C2×C4—88no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—88no—
1636C2×C4—84no—
1637C2×C4—84no—
1638C2×C4—164no—
1639C2×C4C22×#4112yes—
1640C2×C4C22×#4112yes—
1641C2×C4C22×#4112yes—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4112yes—
1644C2×C4C22×#4112yes—
1645C2×C4C2×H(5,𝔽2)14yes—
1646C2×C4C2×H(5,𝔽2)14yes—
1647C2×C4C2×H(5,𝔽2)12yes—
1648C2×C4C2×H(5,𝔽2)12yes—
1649C2×C4C2×2−1+412yes—
1650C2×C4C2×2−1+412yes—
1651C2×C4C2×2−1+412yes—
1652C2×C4#58512yes—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—42no—
1661C22—42no—
1662C22—44no—
1663C22—44no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—44no—
1668C22—42no—
1669C22—44no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—44no—
1674C22—42no—
1675C22—42no—
1676C22—44no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—44no—
1681C22C23×#4111yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C22×H(5,𝔽2)11yescharacteristic
1684C22C22×2−1+411yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22H(7,𝔽2)11yescharacteristic
1687C222−1+611yescharacteristic
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—22no—
1693C4—24no—
1694C4—24no—
1695C4—22no—
1696C4—42no—
1697C4—42no—
1698C4—44no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—42no—
1703C4—41no—
1704C4—42no—
1705C4—41no—
1706C4—42no—
1707C4—44no—
1708C4—41no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—44no—
1713C4—41no—
1714C4—42no—
1715C4—41no—
1716C4—42no—
1717C4#346114yes—
1718C4#350814yes—
1719C2—42no—
1720C2—82no—
1721C2—82no—
1722C2—84no—
1723C2C2×#346111yescharacteristic
1724C2C2×#350811yescharacteristic
1725C2#6285611yescharacteristic
1726C2#6291311yescharacteristic
1727C2#6291711yescharacteristic
1728C2#6292011yescharacteristic
1729C2#6292111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35166C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #41734C2semidirect
2. #41631C2semidirect
3. #41114C2semidirect
4. #40967C2semidirect
5. #39437C2semidirect
6. #39432C2semidirect
7. #39272C2semidirect
8. #39268C2semidirect
9. #37784C2semidirect
10. #37781C2semidirect
11. #37774C2semidirect
12. #37773C2semidirect
13. #37640C2semidirect
14. #37628C2semidirect
15. #37625C2semidirect
16. #37619C2semidirect
17. #37337C2semidirect
18. #37336C2semidirect
19. #37318C2semidirect
20. #37315C2semidirect
21. #35580C2semidirect
22. #35562C2semidirect
23. #35295C2semidirect
24. #35288C2semidirect
25. #35239C2semidirect
26. #35209C2semidirect
27. #35198C2semidirect
28. #35197C2semidirect
29. #35176C2semidirect
31. #34934C2semidirect
32. #34929C2semidirect
33. #34226C2semidirect
34. #34145C2semidirect
35. #34086C2semidirect

Maximal subgroups

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

subgroupindex
#417342
#416312
#411142
#409672
#394372
#394322
#392722
#392682
#377842
#377812
#377742
#377732
#376402
#376282
#376252
#376192
#373372
#373362
#373182
#373152
#355802
#355622
#352952
#352882
#352392
#352092
#351982
#351972
#351762
#351662
#349342
#349292
#342262
#341452
#340862