Finite Group Databasebeta

← #7654845

Subgroups — #7654845

Order 512.

5550 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42060C214yesmaximal, complemented
2#42041C214yesmaximal, complemented
3#42030C214yesmaximal, complemented
4#39690C212yesmaximal, complemented
5#39433C212yesmaximal, complemented
6#39432C212yesmaximal, complemented
7#39381C212yesmaximal, complemented
8#39292C212yesmaximal, complemented
9#39196C212yesmaximal, complemented
10#38286C212yesmaximal, complemented
11#38129C212yesmaximal, complemented
12#37792C212yesmaximal, complemented
13#37781C212yesmaximal, complemented
14#37780C212yesmaximal, complemented
15#37710C212yesmaximal, complemented
16#37627C211yesmaximal, characteristic, complemented
17#37625C211yesmaximal, characteristic, complemented
18#37621C211yesmaximal, characteristic, complemented
19#36499C212yesmaximal, complemented
20#36369C212yesmaximal, complemented
21#36150C212yesmaximal, complemented
22#36150C212yesmaximal, complemented
23#35744C214yesmaximal, complemented
24#35198C211yesmaximal, characteristic, complemented
25#35191C211yesmaximal, characteristic, complemented
26#35176C211yesmaximal, characteristic, complemented
27#35171C211yesmaximal, characteristic, complemented
28#35170C211yesmaximal, characteristic, complemented
29#35166C211yesmaximal, characteristic, complemented
30#34938C211yesmaximal, characteristic, complemented
31#34929C211yesmaximal, characteristic, complemented
32#34925C211yesmaximal, characteristic, complemented
33#34226C211yesmaximal, characteristic, complemented
34#34155C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic, complemented
36C2×#542C2212yes—
37C2×#542C2212yes—
38C2×#540C2212yes—
39C2×#537C2212yes—
40C2×#537C2212yes—
41C2×#533C2212yes—
42C2×#533C2212yes—
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C2×#532C2212yes—
46C2×#532C2212yes—
47C2×#529C2211yescharacteristic
48#2861C2212yes—
49#2860C2212yes—
50#2858C2212yes—
51#2858C2212yes—
52#2857C2212yes—
53#2857C2212yes—
54#2856C2212yes—
55#2856C2212yes—
56#2856C2212yes—
57#2855C2212yes—
58#2854C2212yes—
59#2854C2212yes—
60#2837C2214yes—
61#2829C2214yes—
62#2813C2214yes—
63#2807C2214yes—
64#2803C2214yes—
65#2798C2214yes—
66#2733C2214yes—
67#2732C2214yes—
68#2727C2214yes—
69#2714C2214yes—
70#2711C2214yes—
71#2710C2214yes—
72#2708C2214yes—
73#2704C2214yes—
74#2700C2214yes—
75#2699C2214yes—
76#2692C2214yes—
77#2689C2214yes—
78#2688C2214yes—
79#2686C2214yes—
80#2682C2214yes—
81#2681C2214yes—
82#2681C2214yes—
83#2676C2214yes—
84#2676C2214yes—
85#2672C2214yes—
86#2671C2214yes—
87#2667C2214yes—
88#2663C2214yes—
89#2662C2214yes—
90#2662C2214yes—
91#2661C2214yes—
92#2661C2214yes—
93#2656C2214yes—
94#2651C2214yes—
95#2644C2212yes—
96#2641C2212yes—
97#2630C2214yes—
98#2629C2212yes—
99#2628C2212yes—
100#2625C2212yes—
101#2624C2212yes—
102#2624C2212yes—
103#2620C2212yes—
104#2620C2212yes—
105#2619C2212yes—
106#2616C2212yes—
107#2615C2212yes—
108#2603C2214yes—
109#2596C2214yes—
110#2595C2214yes—
111#2593C2214yes—
112#2589C2214yes—
113#2562C2212yes—
114#2560C2214yes—
115#2559C2214yes—
116#2556C2214yes—
117#2555C2214yes—
118#2555C2214yes—
119#2554C2214yes—
120#2554C2214yes—
121#2552C2211yescharacteristic
122#2552C2211yescharacteristic
123#2551C2211yescharacteristic
124#2551C2211yescharacteristic
125#2550C2212yes—
126#2550C2212yes—
127#2549C2214yes—
128#2549C2214yes—
129#2548C2211yescharacteristic
130#2547C2211yescharacteristic
131#2546C2211yescharacteristic
132#2542C2212yes—
133#2542C2211yescharacteristic
134#2542C2211yescharacteristic
135#2541C2211yescharacteristic
136#2541C2211yescharacteristic
137#2541C2212yes—
138#2541C2211yescharacteristic
139#2540C2214yes—
140#2540C2212yes—
141#2540C2214yes—
142#2540C2212yes—
143#2540C2212yes—
144#2538C2211yescharacteristic
145#2538C2211yescharacteristic
146#2537C2211yescharacteristic
147#2537C2211yescharacteristic
148#2522C2214yes—
149#2521C2214yes—
150#2516C2214yes—
151#2507C2212yes—
152#2506C2212yes—
153#2497C2212yes—
154#2496C2212yes—
155#2492C2212yes—
156#2492C2212yes—
157#2491C2212yes—
158#2491C2212yes—
159#2491C2212yes—
160#2491C2212yes—
161#2490C2214yes—
162#2490C2212yes—
163#2490C2212yes—
164#2476C2214yes—
165#2476C2214yes—
166#2465C2214yes—
167#2464C2214yes—
168#2464C2214yes—
169#2461C2214yes—
170#2459C2214yes—
171#2458C2214yes—
172#2458C2214yes—
173#2456C2214yes—
174#2455C2214yes—
175#2454C2214yes—
176#2454C2212yes—
177#2454C2212yes—
178#2452C2212yes—
179#2452C2212yes—
180#2450C2214yes—
181#2448C2214yes—
182#2448C2214yes—
183#2445C2212yes—
184#2445C2212yes—
185#2440C2212yes—
186#2440C2212yes—
187#2432C2212yes—
188#2431C2212yes—
189#2430C2214yes—
190#2429C2212yes—
191#2429C2212yes—
192#2428C2212yes—
193#2428C2212yes—
194#2428C2212yes—
195#2428C2212yes—
196#2427C2214yes—
197#2427C2212yes—
198#2427C2212yes—
199#2426C2212yes—
200#2426C2214yes—
201#2426C2214yes—
202#2426C2214yes—
203#2426C2212yes—
204#2426C2214yes—
205#2425C2214yes—
206#2423C2212yes—
207#2423C2212yes—
208#2422C2212yes—
209#2422C2212yes—
210#2414C2212yes—
211#2414C2212yes—
212#2414C2214yes—
213#2414C2212yes—
214#2414C2212yes—
215#2407C2214yes—
216#2407C2214yes—
217#2399C2214yes—
218#2396C2214yes—
219#2388C2214yes—
220#2374C2214yes—
221#2373C2212yes—
222#2373C2212yes—
223#2372C2212yes—
224#2372C2212yes—
225#2370C2211yescharacteristic
226#2370C2211yescharacteristic
227#2369C2211yescharacteristic
228#2369C2211yescharacteristic
229#2367C2212yes—
230#2367C2211yescharacteristic
231#2367C2214yes—
232#2367C2212yes—
233#2367C2211yescharacteristic
234#2366C2211yescharacteristic
235#2366C2211yescharacteristic
236#2363C2211yescharacteristic
237#2363C2214yes—
238#2363C2212yes—
239#2363C2211yescharacteristic
240#2363C2212yes—
241#2363C2212yes—
242#2363C2211yescharacteristic
243#2363C2212yes—
244#2363C2211yescharacteristic
245#2361C2211yescharacteristic
246#2361C2211yescharacteristic
247#2360C2211yescharacteristic
248#2360C2211yescharacteristic
249#2359C2212yes—
250#2359C2212yes—
251#2357C2212yes—
252#2349C2212yes—
253#2341C2212yes—
254#2341C2214yes—
255#2339C2212yes—
256#2330C2212yes—
257#2324C2212yes—
258#2324C2212yes—
259#2324C2212yes—
260#2324C2212yes—
261#2324C2212yes—
262#2324C2212yes—
263#2323C2212yes—
264#2319C2212yes—
265#2319C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×#127C2211yescharacteristic
272C4×#127C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276#2298C2212yes—
277#2297C2212yes—
278#2297C2212yes—
279#2296C2212yes—
280#2296C2212yes—
281#2295C2211yescharacteristic
282#2293C2212yes—
283#2293C2212yes—
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287#2290C2212yes—
288#2285C2211yescharacteristic
289#2275C2212yes—
290C42×Q8C2211yescharacteristic
291C42×D4C2212yes—
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2314yes—
302#542—48no—
303#542—48no—
304#540—48no—
305#537—48no—
306#537—48no—
307#533—48no—
308#533—48no—
309#532—28no—
310#532—28no—
311#532—48no—
312#532—48no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325#529—28no—
326C2×#126C2312yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#125C2311yescharacteristic
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2314yes—
333C2×#124C2311yescharacteristic
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2314yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2314yes—
396C2×C4×Q8C2314yes—
397C2×C4×Q8C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2314yes—
423C2×#117C2312yes—
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2312yes—
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2314yes—
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2311yescharacteristic
435C22×C42C2312yes—
436C22×C42C2312yes—
437C22×C42C2312yes—
438C22×C42C2312yes—
439C22×C42C2311yescharacteristic
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
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#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#391C2312yes—
529#391C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2314yes—
533#391C2314yes—
534#391C2312yes—
535#391C2314yes—
536#391C2312yes—
537#391C2311yescharacteristic
538#391C2311yescharacteristic
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2312yes—
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2311yescharacteristic
575#390C2314yes—
576#390C2311yescharacteristic
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2312yes—
585#390C2314yes—
586#390C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2314yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2314yes—
612#389C2311yescharacteristic
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#382C2312yes—
725#381C2314yes—
726#381C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2311yescharacteristic
813#376C2312yes—
814#376C2312yes—
815#376C2311yescharacteristic
816C2×#95C2314yes—
817C2×#95C2312yes—
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2312yes—
821C43C2312yes—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—48no—
827C2×#41—48no—
828C2×#41—48no—
829C2×#41—44no—
830C2×#41—44no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×Q8C2414yes—
835C22×Q8C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2411yescharacteristic
873C4⋊Q8—28no—
874C4⋊Q8—28no—
875C4⋊Q8—28no—
876C4⋊Q8—24no—
877C4⋊Q8—24no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880#127—24no—
881#127—24no—
882#127—44no—
883#127—44no—
884#127—44no—
885#126—28no—
886#126—48no—
887#126—48no—
888#125—28no—
889#125—24no—
890#125—44no—
891#125—48no—
892#124—24no—
893#124—28no—
894#124—28no—
895#124—48no—
896#124—44no—
897#124—44no—
898#124—48no—
899#124—48no—
900#124—48no—
901#124—48no—
902#123—28no—
903#123—48no—
904#123—48no—
905#123—48no—
906#123—48no—
907#123—48no—
908C22⋊Q8—24no—
909C22⋊Q8—28no—
910C22⋊Q8—28no—
911C22⋊Q8—48no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—48no—
916C22⋊Q8—48no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—48no—
921C22⋊Q8—44no—
922#121—24no—
923#121—24no—
924#121—28no—
925#121—24no—
926#121—28no—
927#121—28no—
928#121—28no—
929#121—28no—
930#121—28no—
931#121—28no—
932#121—48no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—48no—
945#121—48no—
946#121—48no—
947#121—44no—
948#121—44no—
949C4×Q8—24no—
950C4×Q8—24no—
951C4×Q8—24no—
952C4×Q8—48no—
953C4×Q8—44no—
954C4×Q8—48no—
955C4×Q8—48no—
956C4×Q8—44no—
957C4×D4—28no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—24no—
961C4×D4—24no—
962C4×D4—24no—
963C4×D4—24no—
964C4×D4—24no—
965C4×D4—28no—
966C4×D4—24no—
967C4×D4—24no—
968C4×D4—28no—
969C4×D4—28no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—48no—
981C4×D4—48no—
982#117—24no—
983#117—24no—
984#117—28no—
985#117—44no—
986#117—44no—
987#117—44no—
988#117—42no—
989#117—42no—
990#117—48no—
991#117—44no—
992C2×C4⋊C4—24no—
993C2×C4⋊C4—24no—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C42—44no—
1122C2×C42—44no—
1123C2×C42—44no—
1124C2×C42—44no—
1125C2×C42#4118yescomplemented
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2414yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2412yes—
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220C24C2512yes—
1221C24C2512yes—
1222C24C2514yes—
1223C24C2512yes—
1224C24C2511yescharacteristic
1225#41—816no—
1226#41—816no—
1227#41—832no—
1228C2×Q8—22no—
1229C2×Q8—24no—
1230C2×Q8—24no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—28no—
1236C2×Q8—28no—
1237C2×Q8—28no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—42no—
1241C2×Q8—42no—
1242C2×Q8—44no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—28no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—28no—
1263C2×D4—28no—
1264C2×D4—28no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—28no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—28no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—28no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4C2×#4114yes—
1352C22×C4C2×#4114yes—
1353C22×C4C2×#4114yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2514yes—
1364C22×C4C2514yes—
1365C22×C4C2514yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—28no—
1402C4⋊C4—24no—
1403C4⋊C4—28no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—28no—
1409C4⋊C4—28no—
1410C4⋊C4—28no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4H(5,𝔽2)14yes—
1442C4⋊C4H(5,𝔽2)14yes—
1443C4⋊C4H(5,𝔽2)14yes—
1444C4⋊C42−1+414yes—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—28no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—24no—
1473C22⋊C4—28no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C42—24no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—24no—
1516C42—24no—
1517C42—24no—
1518C42—24no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—24no—
1523C42—24no—
1524C42—24no—
1525C42—24no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—24no—
1531C42—42no—
1532C42—42no—
1533C42—42no—
1534C42—42no—
1535C42—42no—
1536C42—42no—
1537C42—42no—
1538C42—42no—
1539C42—41no—
1540C42—41no—
1541C42—44no—
1542C42—44no—
1543C42—42no—
1544C42—42no—
1545C42—42no—
1546C42—44no—
1547C42C2×#4114yes—
1548C42C2×#4114yes—
1549C42C2×#4114yes—
1550C42C2×#4114yes—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—24no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—24no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—24no—
1569C23—24no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—24no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—24no—
1580C23—22no—
1581C23—24no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23C22×#4112yes—
1586C23C2611yescharacteristic
1587Q8—416no—
1588Q8—44no—
1589Q8—48no—
1590Q8—88no—
1591Q8—84no—
1592D4—48no—
1593D4—48no—
1594D4—48no—
1595D4—44no—
1596D4—48no—
1597D4—44no—
1598D4—44no—
1599D4—48no—
1600D4—88no—
1601D4—88no—
1602D4—88no—
1603D4—88no—
1604D4—84no—
1605D4—84no—
1606D4—84no—
1607D4—88no—
1608D4—88no—
1609D4—164no—
1610D4—164no—
1611D4—164no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—28no—
1633C2×C4—28no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—44no—
1689C2×C4—48no—
1690C2×C4—48no—
1691C2×C4—48no—
1692C2×C4—48no—
1693C2×C4—48no—
1694C2×C4—48no—
1695C2×C4—84no—
1696C2×C4—84no—
1697C2×C4—84no—
1698C2×C4—84no—
1699C2×C4—84no—
1700C2×C4—88no—
1701C2×C4—88no—
1702C2×C4—164no—
1703C2×C4C22×#4112yes—
1704C2×C4C22×#4112yes—
1705C2×C4C22×#4112yes—
1706C2×C4C22×#4112yes—
1707C2×C4C22×#4112yes—
1708C2×C4C22×#4112yes—
1709C2×C4C2×H(5,𝔽2)14yes—
1710C2×C4C2×H(5,𝔽2)14yes—
1711C2×C4C2×H(5,𝔽2)14yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×2−1+414yes—
1716C2×C4C2×2−1+412yes—
1717C2×C4#58512yes—
1718C2×C4#58512yes—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—42no—
1727C22—42no—
1728C22—44no—
1729C22—42no—
1730C22—42no—
1731C22—44no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—44no—
1738C22—42no—
1739C22—42no—
1740C22—44no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—44no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—44no—
1750C22—42no—
1751C22—42no—
1752C22—44no—
1753C22—42no—
1754C22C23×#4111yescharacteristic
1755C22C22×H(5,𝔽2)11yescharacteristic
1756C22C22×H(5,𝔽2)11yescharacteristic
1757C22C22×H(5,𝔽2)11yescharacteristic
1758C22C22×2−1+411yescharacteristic
1759C22C2×#58511yescharacteristic
1760C22C2×#58511yescharacteristic
1761C4—22no—
1762C4—24no—
1763C4—24no—
1764C4—24no—
1765C4—22no—
1766C4—24no—
1767C4—22no—
1768C4—22no—
1769C4—22no—
1770C4—22no—
1771C4—41no—
1772C4—44no—
1773C4—42no—
1774C4—41no—
1775C4—42no—
1776C4—41no—
1777C4—44no—
1778C4—42no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—44no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4#350814yes—
1790C4#351114yes—
1791C2—42no—
1792C2—82no—
1793C2—82no—
1794C2—84no—
1795C2—82no—
1796C2#6268611yescharacteristic
1797C2C2×#350811yescharacteristic
1798C2C2×#351111yescharacteristic
1799C2#6301211yescharacteristic
1800C2#6301411yescharacteristic
1801C2#6301511yescharacteristic
1802C2#6303911yescharacteristic
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. #42060C2semidirect
2. #42041C2semidirect
3. #42030C2semidirect
4. #39690C2semidirect
5. #39433C2semidirect
6. #39432C2semidirect
7. #39381C2semidirect
8. #39292C2semidirect
9. #39196C2semidirect
10. #38286C2semidirect
11. #38129C2semidirect
12. #37792C2semidirect
13. #37781C2semidirect
14. #37780C2semidirect
15. #37710C2semidirect
16. #37627C2semidirect
17. #37625C2semidirect
18. #37621C2semidirect
19. #36499C2semidirect
20. #36369C2semidirect
21. #36150C2semidirect
22. #36150C2semidirect
23. #35744C2semidirect
24. #35198C2semidirect
25. #35191C2semidirect
26. #35176C2semidirect
27. #35171C2semidirect
28. #35170C2semidirect
29. #35166C2semidirect
30. #34938C2semidirect
31. #34929C2semidirect
32. #34925C2semidirect
33. #34226C2semidirect
34. #34155C2semidirect
35. #34153C2semidirect
1125. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#420602
#420412
#420302
#396902
#394332
#394322
#393812
#392922
#391962
#382862
#381292
#377922
#377812
#377802
#377102
#376272
#376252
#376212
#364992
#363692
#361502
#357442
#351982
#351912
#351762
#351712
#351702
#351662
#349382
#349292
#349252
#342262
#341552
#341532