Finite Group Databasebeta

← #7653638

Subgroups — #7653638

Order 512.

5278 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42519C212yesmaximal, complemented
2#42518C212yesmaximal, complemented
3#41003C214yesmaximal, complemented
4#40961C214yesmaximal, complemented
5#40294C214yesmaximal, complemented
6#40026C212yesmaximal, complemented
7#40021C212yesmaximal, complemented
8#39821C212yesmaximal, complemented
9#39771C211yesmaximal, characteristic, complemented
10#39386C211yesmaximal, characteristic, complemented
11#39280C212yesmaximal, complemented
12#39200C211yesmaximal, characteristic, complemented
13#38987C211yesmaximal, characteristic, complemented
14#38714C214yesmaximal, complemented
15#38285C212yesmaximal, complemented
16#37798C212yesmaximal, complemented
17#37616C211yesmaximal, characteristic, complemented
18#37501C212yesmaximal, complemented
19#36595C211yesmaximal, characteristic, complemented
20#36469C212yesmaximal, complemented
21#36469C211yesmaximal, characteristic, complemented
22#36313C211yesmaximal, characteristic, complemented
23#36253C212yesmaximal, complemented
24#36115C211yesmaximal, characteristic, complemented
25#35844C212yesmaximal, complemented
26#35778C212yesmaximal, complemented
27#35293C211yesmaximal, characteristic, complemented
28#35191C211yesmaximal, characteristic, complemented
29#35156C212yesmaximal, complemented
30#35044C212yesmaximal, complemented
31#34978C211yesmaximal, characteristic, complemented
32#34727C212yesmaximal, complemented
33#34206C211yesmaximal, characteristic, complemented
34#34153C211yesmaximal, characteristic, complemented
35#34141C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#559C2212yes—
38C2×#540C2212yes—
39C2×#532C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#529C2212yes—
43C2×#520C2212yes—
44C2×C4×#41C2212yes—
45#2867C2211yescharacteristic
46#2863C2212yes—
47#2862C2211yescharacteristic
48#2861C2212yes—
49#2858C2211yescharacteristic
50#2858C2211yescharacteristic
51#2858C2212yes—
52#2858C2212yes—
53#2854C2214yes—
54#2854C2212yes—
55#2853C2214yes—
56#2850C2212yes—
57#2825C2214yes—
58#2824C2214yes—
59#2813C2214yes—
60#2803C2214yes—
61#2801C2214yes—
62#2796C2214yes—
63#2786C2214yes—
64#2786C2214yes—
65#2784C2214yes—
66#2779C2214yes—
67#2778C2214yes—
68#2773C2214yes—
69#2757C2214yes—
70#2756C2214yes—
71#2754C2214yes—
72#2753C2214yes—
73#2751C2214yes—
74#2740C2214yes—
75#2731C2214yes—
76#2718C2214yes—
77#2711C2214yes—
78#2708C2214yes—
79#2701C2214yes—
80#2695C2214yes—
81#2686C2214yes—
82#2673C2214yes—
83#2673C2214yes—
84#2661C2214yes—
85#2653C2214yes—
86#2648C2214yes—
87#2648C2214yes—
88#2644C2212yes—
89#2640C2212yes—
90#2636C2214yes—
91#2635C2214yes—
92#2631C2214yes—
93#2631C2214yes—
94#2630C2214yes—
95#2630C2214yes—
96#2625C2212yes—
97#2620C2212yes—
98#2620C2212yes—
99#2620C2212yes—
100#2619C2212yes—
101#2619C2212yes—
102#2619C2212yes—
103#2619C2212yes—
104#2612C2212yes—
105#2612C2212yes—
106#2610C2214yes—
107#2603C2214yes—
108#2602C2214yes—
109#2602C2214yes—
110#2602C2214yes—
111#2598C2214yes—
112#2597C2214yes—
113#2592C2212yes—
114#2592C2212yes—
115#2592C2212yes—
116#2582C2212yes—
117#2580C2212yes—
118#2579C2214yes—
119#2578C2214yes—
120#2571C2211yescharacteristic
121#2568C2211yescharacteristic
122#2566C2212yes—
123#2557C2214yes—
124#2557C2214yes—
125#2557C2214yes—
126#2552C2211yescharacteristic
127#2552C2211yescharacteristic
128#2551C2211yescharacteristic
129#2548C2212yes—
130#2548C2212yes—
131#2548C2211yescharacteristic
132#2548C2211yescharacteristic
133#2547C2212yes—
134#2547C2211yescharacteristic
135#2546C2211yescharacteristic
136#2545C2212yes—
137#2544C2212yes—
138#2544C2214yes—
139#2544C2212yes—
140#2544C2212yes—
141#2544C2212yes—
142#2544C2212yes—
143#2544C2212yes—
144#2542C2211yescharacteristic
145#2541C2212yes—
146#2541C2211yescharacteristic
147#2541C2212yes—
148#2541C2211yescharacteristic
149#2528C2214yes—
150#2526C2214yes—
151#2524C2214yes—
152#2518C2214yes—
153#2514C2212yes—
154#2514C2212yes—
155#2513C2212yes—
156#2513C2212yes—
157#2512C2212yes—
158#2511C2212yes—
159#2492C2212yes—
160#2491C2214yes—
161#2491C2212yes—
162#2479C2214yes—
163#2476C2214yes—
164#2474C2214yes—
165#2471C2214yes—
166#2471C2214yes—
167#2470C2214yes—
168#2470C2214yes—
169#2470C2214yes—
170#2467C2214yes—
171#2467C2214yes—
172#2460C2214yes—
173#2459C2214yes—
174#2456C2214yes—
175#2456C2214yes—
176#2456C2214yes—
177#2455C2214yes—
178#2454C2212yes—
179#2453C2212yes—
180#2448C2212yes—
181#2448C2212yes—
182#2448C2212yes—
183#2447C2212yes—
184#2447C2212yes—
185#2447C2212yes—
186#2446C2212yes—
187#2445C2214yes—
188#2445C2212yes—
189#2445C2212yes—
190#2445C2212yes—
191#2445C2212yes—
192#2445C2212yes—
193#2443C2214yes—
194#2443C2214yes—
195#2441C2212yes—
196#2441C2211yescharacteristic
197#2441C2211yescharacteristic
198#2439C2212yes—
199#2439C2211yescharacteristic
200#2439C2211yescharacteristic
201#2432C2212yes—
202#2431C2212yes—
203#2431C2212yes—
204#2431C2212yes—
205#2431C2212yes—
206#2431C2212yes—
207#2428C2212yes—
208#2428C2212yes—
209#2427C2212yes—
210#2426C2212yes—
211#2423C2212yes—
212#2422C2214yes—
213#2422C2212yes—
214#2414C2212yes—
215#2414C2212yes—
216#2413C2214yes—
217#2407C2212yes—
218#2407C2212yes—
219#2397C2214yes—
220#2396C2212yes—
221#2396C2212yes—
222#2392C2214yes—
223#2373C2212yes—
224#2373C2212yes—
225#2370C2211yescharacteristic
226#2370C2211yescharacteristic
227#2367C2212yes—
228#2367C2211yescharacteristic
229#2367C2212yes—
230#2367C2212yes—
231#2367C2211yescharacteristic
232#2367C2212yes—
233#2367C2212yes—
234#2366C2212yes—
235#2366C2212yes—
236#2366C2211yescharacteristic
237#2366C2211yescharacteristic
238#2366C2211yescharacteristic
239#2366C2211yescharacteristic
240#2365C2211yescharacteristic
241#2365C2211yescharacteristic
242#2365C2211yescharacteristic
243#2365C2211yescharacteristic
244#2365C2212yes—
245#2364C2214yes—
246#2361C2211yescharacteristic
247#2361C2212yes—
248#2361C2211yescharacteristic
249#2361C2212yes—
250#2360C2211yescharacteristic
251#2360C2211yescharacteristic
252#2359C2212yes—
253#2359C2212yes—
254#2356C2212yes—
255#2354C2212yes—
256#2354C2212yes—
257#2352C2214yes—
258D4×C4⋊C4C2212yes—
259#2337C2214yes—
260#2333C2214yes—
261#2328C2212yes—
262#2328C2212yes—
263#2326C2212yes—
264#2325C2214yes—
265#2324C2212yes—
266#2324C2212yes—
267#2323C2212yes—
268#2319C2212yes—
269#2311C2212yes—
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×#127C2212yes—
274C4×#125C2211yescharacteristic
275C4×#125C2212yes—
276C4×#125C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2214yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281#2298C2212yes—
282#2297C2212yes—
283#2296C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2290C2214yes—
289#2290C2214yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301#559—48no—
302#559—48no—
303#540—48no—
304#532—28no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322#529—28no—
323#529—48no—
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2311yescharacteristic
328C2×#125C2311yescharacteristic
329C2×#125C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2312yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367#520—48no—
368C4×#41—48no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2314yes—
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2314yes—
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C2×#117C2314yes—
413C2×#117C2311yescharacteristic
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2314yes—
417C22×C42C2312yes—
418C22×C42C2314yes—
419C22×C42C2312yes—
420C22×C42C2311yescharacteristic
421#401C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#399C2314yes—
430#399C2312yes—
431#399C2314yes—
432#399C2312yes—
433#399C2314yes—
434#399C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2312yes—
441#398C2312yes—
442#398C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2312yes—
467#396C2314yes—
468#396C2312yes—
469#395C2312yes—
470#395C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
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#393C2312yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2312yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2314yes—
530#391C2311yescharacteristic
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2311yescharacteristic
536#391C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2311yescharacteristic
572#390C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2314yes—
721#385C2312yes—
722#385C2314yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2312yes—
726#384C2312yes—
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#383C2314yes—
730#383C2314yes—
731#382C2311yescharacteristic
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#381C2314yes—
739#381C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810#376C2311yescharacteristic
811#376C2311yescharacteristic
812#376C2312yes—
813#376C2314yes—
814C2×#95C2312yes—
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C4⋊Q8—24no—
863C4⋊Q8—24no—
864C4⋊Q8—42no—
865C4⋊Q8—42no—
866C4⋊Q8—44no—
867C4⋊Q8—44no—
868#127—24no—
869#127—24no—
870#127—44no—
871#127—44no—
872#127—44no—
873#127—44no—
874#127—44no—
875#127—44no—
876#127—44no—
877#127—44no—
878#126—28no—
879#126—48no—
880#125—24no—
881#125—24no—
882#125—24no—
883#125—44no—
884#124—24no—
885#124—28no—
886#124—28no—
887#124—48no—
888#124—48no—
889#124—44no—
890#124—48no—
891#124—44no—
892#124—44no—
893#124—44no—
894#124—44no—
895#124—44no—
896#124—44no—
897#123—28no—
898#123—48no—
899#123—48no—
900#123—48no—
901#123—48no—
902#123—48no—
903#123—48no—
904#123—48no—
905C22⋊Q8—24no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908#121—24no—
909#121—28no—
910#121—28no—
911#121—28no—
912#121—28no—
913#121—28no—
914#121—48no—
915#121—48no—
916#121—48no—
917#121—44no—
918#121—44no—
919#121—48no—
920#121—44no—
921C4×Q8—28no—
922C4×Q8—28no—
923C4×Q8—24no—
924C4×Q8—24no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×Q8—42no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—48no—
943C4×D4—48no—
944C4×D4—42no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—44no—
951C4×D4—48no—
952C4×D4—48no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—48no—
956#117—24no—
957#117—28no—
958#117—44no—
959#117—44no—
960#117—42no—
961#117—42no—
962#117—48no—
963#117—48no—
964#117—48no—
965#117—42no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—42no—
968C2×C4⋊C4—48no—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C42—48no—
1093C2×C42—44no—
1094C2×C42—44no—
1095C2×C42#4118yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2412yes—
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199C24C2512yes—
1200C24C2514yes—
1201C24C2514yes—
1202C24C2511yescharacteristic
1203#41—432no—
1204#41—432no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—28no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—28no—
1280C22×C4—28no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—28no—
1284C22×C4—24no—
1285C22×C4—28no—
1286C22×C4—24no—
1287C22×C4—28no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—42no—
1305C22×C4—44no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4C2×#4114yes—
1314C22×C4C2×#4114yes—
1315C22×C4C2×#4114yes—
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2514yes—
1322C22×C4C2514yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—28no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—28no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4H(5,𝔽2)14yes—
1410C4⋊C4H(5,𝔽2)14yes—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
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—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—22no—
1474C42—24no—
1475C42—28no—
1476C42—22no—
1477C42—24no—
1478C42—28no—
1479C42—24no—
1480C42—22no—
1481C42—24no—
1482C42—24no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—24no—
1487C42—22no—
1488C42—24no—
1489C42—24no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—42no—
1494C42—42no—
1495C42—42no—
1496C42—44no—
1497C42—42no—
1498C42—41no—
1499C42—41no—
1500C42—42no—
1501C42—44no—
1502C42—42no—
1503C42—42no—
1504C42—42no—
1505C42C2×#4114yes—
1506C42C2×#4114yes—
1507C42C2×#4114yes—
1508C42C2×#4114yes—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—22no—
1516C23—24no—
1517C23—24no—
1518C23—24no—
1519C23—22no—
1520C23—24no—
1521C23—24no—
1522C23—24no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—24no—
1527C23—24no—
1528C23—24no—
1529C23—22no—
1530C23—24no—
1531C23—24no—
1532C23—24no—
1533C23—24no—
1534C23—22no—
1535C23—24no—
1536C23C22×#4112yes—
1537C23C2611yescharacteristic
1538Q8—44no—
1539Q8—48no—
1540Q8—48no—
1541Q8—84no—
1542Q8—84no—
1543D4—48no—
1544D4—416no—
1545D4—416no—
1546D4—44no—
1547D4—48no—
1548D4—48no—
1549D4—48no—
1550D4—48no—
1551D4—88no—
1552D4—88no—
1553D4—88no—
1554D4—84no—
1555D4—84no—
1556D4—88no—
1557D4—164no—
1558D4—164no—
1559D4—164no—
1560D4—164no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—28no—
1578C2×C4—28no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—44no—
1643C2×C4—416no—
1644C2×C4—416no—
1645C2×C4—48no—
1646C2×C4—88no—
1647C2×C4—88no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—88no—
1651C2×C4—84no—
1652C2×C4—84no—
1653C2×C4—164no—
1654C2×C4C22×#4112yes—
1655C2×C4C22×#4112yes—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4112yes—
1658C2×C4C22×#4112yes—
1659C2×C4C22×#4112yes—
1660C2×C4C2×H(5,𝔽2)14yes—
1661C2×C4C2×H(5,𝔽2)14yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4#58512yes—
1665C2×C4#58512yes—
1666C2×C4#58512yes—
1667C2×C4#58512yes—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—44no—
1676C22—44no—
1677C22—42no—
1678C22—44no—
1679C22—42no—
1680C22—44no—
1681C22—42no—
1682C22—44no—
1683C22—44no—
1684C22—44no—
1685C22—42no—
1686C22—44no—
1687C22—44no—
1688C22—44no—
1689C22—42no—
1690C22—42no—
1691C22—44no—
1692C22—44no—
1693C22—44no—
1694C22—42no—
1695C22—44no—
1696C22C23×#4111yescharacteristic
1697C22C22×H(5,𝔽2)11yescharacteristic
1698C22C22×H(5,𝔽2)11yescharacteristic
1699C22C2×#58511yescharacteristic
1700C22C2×#58511yescharacteristic
1701C22C2×#58511yescharacteristic
1702C22C2×#58511yescharacteristic
1703C4—24no—
1704C4—22no—
1705C4—24no—
1706C4—22no—
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—22no—
1711C4—42no—
1712C4—41no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—41no—
1717C4—42no—
1718C4—42no—
1719C4—41no—
1720C4—42no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4—41no—
1725C4—42no—
1726C4—44no—
1727C4—41no—
1728C4—42no—
1729C4—42no—
1730C4—44no—
1731C4—42no—
1732C4#346014yes—
1733C4#350614yes—
1734C2—42no—
1735C2—84no—
1736C2—82no—
1737C2—84no—
1738C2C2×#346011yescharacteristic
1739C2C2×#350611yescharacteristic
1740C2#6281511yescharacteristic
1741C2#6301411yescharacteristic
1742C2#6301911yescharacteristic
1743C2#6302111yescharacteristic
1744C2#6303011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42519C2semidirect
2. #42518C2semidirect
3. #41003C2semidirect
4. #40961C2semidirect
5. #40294C2semidirect
6. #40026C2semidirect
7. #40021C2semidirect
8. #39821C2semidirect
9. #39771C2semidirect
10. #39386C2semidirect
11. #39280C2semidirect
12. #39200C2semidirect
13. #38987C2semidirect
14. #38714C2semidirect
15. #38285C2semidirect
16. #37798C2semidirect
17. #37616C2semidirect
18. #37501C2semidirect
19. #36595C2semidirect
20. #36469C2semidirect
21. #36469C2semidirect
22. #36313C2semidirect
23. #36253C2semidirect
24. #36115C2semidirect
25. #35844C2semidirect
26. #35778C2semidirect
27. #35293C2semidirect
28. #35191C2semidirect
29. #35156C2semidirect
30. #35044C2semidirect
31. #34978C2semidirect
32. #34727C2semidirect
33. #34206C2semidirect
34. #34153C2semidirect
35. #34141C2semidirect

Maximal subgroups

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

subgroupindex
#425192
#425182
#410032
#409612
#402942
#400262
#400212
#398212
#397712
#393862
#392802
#392002
#389872
#387142
#382852
#377982
#376162
#375012
#365952
#364692
#363132
#362532
#361152
#358442
#357782
#352932
#351912
#351562
#350442
#349782
#347272
#342062
#341532
#341412