Finite Group Databasebeta

← #7647094

Subgroups — #7647094

Order 512.

4663 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42640C212yesmaximal, complemented
2#42636C212yesmaximal, complemented
3#42559C212yesmaximal, complemented
4#42548C212yesmaximal, complemented
5#41354C214yesmaximal, complemented
6#41217C214yesmaximal, complemented
7#39633C211yesmaximal, characteristic, complemented
8#39608C211yesmaximal, characteristic, complemented
9#39427C212yesmaximal, complemented
10#39369C211yesmaximal, characteristic, complemented
11#39353C211yesmaximal, characteristic, complemented
12#39081C212yesmaximal, complemented
13#38986C211yesmaximal, characteristic, complemented
14#38955C211yesmaximal, characteristic, complemented
15#38921C211yesmaximal, characteristic, complemented
16#38908C211yesmaximal, characteristic
17#38248C212yesmaximal, complemented
18#38200C212yesmaximal, complemented
19#37526C212yesmaximal, complemented
20#37503C212yesmaximal, complemented
21#36947C214yesmaximal, complemented
22#36939C214yesmaximal, complemented
23#35553C212yesmaximal, complemented
24#35547C212yesmaximal, complemented
25#35283C211yesmaximal, characteristic, complemented
26#35257C212yesmaximal, complemented
27#35239C212yesmaximal, complemented
28#35231C212yesmaximal, complemented
29#35205C212yesmaximal, complemented
30#35199C211yesmaximal, characteristic, complemented
31#34941C211yesmaximal, characteristic, complemented
32#34913C211yesmaximal, characteristic, complemented
33#34332C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#544C2212yes—
39C2×#541C2212yes—
40C2×#529C2211yescharacteristic
41C2×C4×#41C2212yes—
42#2868C2211yescharacteristic
43#2863C2212yes—
44#2862C2212yes—
45#2862C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2214yes—
48#2857C2211yescharacteristic
49#2852C2214yes—
50#2851C2214yes—
51#2851C2214yes—
52#2839C2214yes—
53#2838C2214yes—
54#2835C2214yes—
55#2834C2214yes—
56#2794C2214yes—
57#2790C2214yes—
58#2789C2214yes—
59#2782C2214yes—
60#2767C2214yes—
61#2763C2214yes—
62#2758C2214yes—
63#2746C2214yes—
64#2745C2214yes—
65#2744C2214yes—
66#2744C2214yes—
67#2739C2214yes—
68#2738C2214yes—
69#2737C2214yes—
70#2729C2214yes—
71#2728C2214yes—
72#2723C2214yes—
73#2722C2214yes—
74#2720C2214yes—
75#2719C2214yes—
76#2719C2214yes—
77#2716C2214yes—
78#2698C2214yes—
79#2696C2214yes—
80#2695C2214yes—
81#2693C2214yes—
82#2692C2214yes—
83#2690C2214yes—
84#2687C2214yes—
85#2687C2214yes—
86#2680C2214yes—
87#2677C2214yes—
88#2666C2214yes—
89#2666C2214yes—
90#2666C2214yes—
91#2666C2214yes—
92#2655C2214yes—
93#2655C2214yes—
94#2654C2214yes—
95#2647C2212yes—
96#2647C2212yes—
97#2645C2212yes—
98#2636C2214yes—
99#2633C2214yes—
100#2629C2214yes—
101#2628C2212yes—
102#2628C2212yes—
103#2628C2212yes—
104#2628C2214yes—
105#2627C2214yes—
106#2625C2212yes—
107#2625C2212yes—
108#2625C2212yes—
109#2623C2214yes—
110#2621C2212yes—
111#2582C2211yescharacteristic
112#2578C2212yes—
113#2577C2212yes—
114#2576C2212yes—
115#2576C2214yes—
116#2575C2212yes—
117#2575C2214yes—
118#2574C2214yes—
119#2572C2214yes—
120#2571C2212yes—
121#2570C2214yes—
122#2570C2212yes—
123#2568C2211yescharacteristic
124#2567C2211yescharacteristic
125#2563C2211yescharacteristic
126#2563C2212yes—
127#2560C2214yes—
128#2552C2212yes—
129#2552C2212yes—
130#2552C2211yescharacteristic
131#2551C2211yescharacteristic
132#2551C2212yes—
133#2550C2214yes—
134#2546C2211yescharacteristic
135#2542C2212yes—
136#2538C2211yescharacteristic
137#2535C2212yes—
138#2524C2214yes—
139#2523C2214yes—
140#2520C2214yes—
141#2519C2214yes—
142#2517C2214yes—
143#2515C2214yes—
144#2514C2212yes—
145#2514C2212yes—
146#2514C2212yes—
147#2514C2211yescharacteristic
148#2511C2212yes—
149#2511C2212yes—
150#2510C2214yes—
151#2508C2212yes—
152#2508C2211yescharacteristic
153#2508C2212yes—
154#2508C2212yes—
155#2506C2212yes—
156#2506C2212yes—
157#2505C2214yes—
158#2503C2212yes—
159#2502C2212yes—
160#2497C2212yes—
161#2497C2212yes—
162#2497C2212yes—
163#2496C2212yes—
164#2496C2212yes—
165#2495C2211yescharacteristic
166#2493C2214yes—
167#2492C2212yes—
168#2492C2212yes—
169#2492C2212yes—
170#2489C2211yescharacteristic
171#2489C2214yes—
172#2489C2212yes—
173#2488C2214yes—
174#2487C2212yes—
175#2486C2212yes—
176#2479C2214yes—
177#2477C2214yes—
178#2475C2214yes—
179#2471C2214yes—
180#2467C2214yes—
181#2460C2214yes—
182#2454C2211yescharacteristic
183#2454C2212yes—
184#2453C2212yes—
185#2453C2212yes—
186#2452C2212yes—
187#2452C2212yes—
188#2452C2212yes—
189#2451C2212yes—
190#2451C2212yes—
191#2451C2212yes—
192#2451C2212yes—
193#2451C2212yes—
194#2450C2214yes—
195#2450C2214yes—
196#2449C2214yes—
197#2449C2214yes—
198#2447C2212yes—
199#2447C2211yescharacteristic
200#2446C2212yes—
201#2446C2212yes—
202#2442C2212yes—
203#2442C2212yes—
204#2442C2212yes—
205#2441C2212yes—
206#2440C2212yes—
207#2440C2212yes—
208#2440C2212yes—
209#2438C2214yes—
210#2438C2214yes—
211#2432C2212yes—
212#2427C2212yes—
213#2427C2211yescharacteristic
214#2423C2212yes—
215#2423C2212yes—
216#2423C2212yes—
217#2422C2212yes—
218#2420C2212yes—
219#2420C2212yes—
220#2420C2211yescharacteristic
221#2417C2212yes—
222#2417C2212yes—
223#2415C2212yes—
224#2407C2212yes—
225#2401C2212yes—
226#2396C2214yes—
227#2395C2212yes—
228#2370C2212yes—
229#2369C2211yescharacteristic
230#2365C2211yescharacteristic
231#2362C2212yes—
232#2361C2212yes—
233#2360C2214yes—
234#2360C2212yes—
235#2359C2214yes—
236#2354C2211yescharacteristic
237Q8×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2212yes—
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241#2345C2212yes—
242#2344C2212yes—
243#2339C2212yes—
244#2335C2212yes—
245#2335C2212yes—
246#2334C2212yes—
247#2334C2212yes—
248#2331C2212yes—
249#2331C2212yes—
250#2330C2212yes—
251#2330C2211yescharacteristic
252#2330C2211yescharacteristic
253#2329C2214yes—
254#2326C2211yescharacteristic
255#2326C2211yescharacteristic
256#2326C2212yes—
257#2324C2211yescharacteristic
258#2324C2211yescharacteristic
259#2324C2212yes—
260#2323C2211yescharacteristic
261#2323C2211yescharacteristic
262#2320C2212yes—
263#2320C2212yes—
264#2317C2212yes—
265#2314C2212yes—
266#2311C2212yes—
267#2311C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×#125C2212yes—
271C4×#125C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2214yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280#2298C2212yes—
281#2296C2212yes—
282#2295C2211yescharacteristic
283#2295C2211yescharacteristic
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2293C2212yes—
287C2×#389C2212yes—
288#2290C2212yes—
289#2290C2212yes—
290#2285C2211yescharacteristic
291#2285C2212yes—
292#2283C2212yes—
293#2275C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300#554—28no—
301#547—28no—
302#544—48no—
303#541—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313#529—28no—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C4×#41—48no—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2314yes—
374C2×#117C2314yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2314yes—
380C22×C42C2311yescharacteristic
381C22×C42C2312yes—
382C22×C42C2314yes—
383C22×C42C2312yes—
384#401C2312yes—
385#401C2314yes—
386#401C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#399C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#392C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2314yes—
516#391C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#384C2314yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#383C2314yes—
701#383C2314yes—
702#383C2314yes—
703#383C2312yes—
704#383C2312yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2314yes—
714#382C2314yes—
715#382C2312yes—
716#382C2314yes—
717#382C2312yes—
718#382C2314yes—
719#382C2311yescharacteristic
720#381C2312yes—
721#381C2314yes—
722#381C2314yes—
723#381C2312yes—
724#381C2314yes—
725#381C2314yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2314yes—
748#380C2311yescharacteristic
749#380C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807#376C2312yes—
808#376C2312yes—
809#376C2311yescharacteristic
810#376C2311yescharacteristic
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—28no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2414yes—
825C22×D4C2414yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847C4⋊Q8—48no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—82no—
852#126—28no—
853#126—48no—
854#126—48no—
855#125—24no—
856#125—28no—
857#125—28no—
858#125—24no—
859#125—48no—
860#125—48no—
861#125—48no—
862#124—24no—
863#124—24no—
864#123—28no—
865#123—216no—
866#123—84no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—24no—
870C22⋊Q8—24no—
871C22⋊Q8—216no—
872C22⋊Q8—48no—
873C22⋊Q8—48no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—84no—
877C22⋊Q8—84no—
878C22⋊Q8—84no—
879C22⋊Q8—82no—
880#121—24no—
881#121—28no—
882#121—24no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—24no—
887C4×Q8—42no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—82no—
891C4×D4—28no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—24no—
897C4×D4—48no—
898C4×D4—42no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—48no—
903C4×D4#4118yes—
904#117—28no—
905#117—28no—
906#117—24no—
907#117—42no—
908#117—44no—
909#117—44no—
910#117—48no—
911#117—84no—
912C2×C4⋊C4—28no—
913C2×C4⋊C4—28no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—84no—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C42—24no—
1037C2×C42—28no—
1038C2×C42—44no—
1039C2×C42—48no—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24C2511yescharacteristic
1161C24C2512yes—
1162C24C2512yes—
1163#41—432no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—24no—
1167C2×Q8—24no—
1168C2×Q8—24no—
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—44no—
1177C2×Q8—44no—
1178C2×Q8—44no—
1179C2×Q8—44no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×D4—28no—
1183C2×D4—28no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—44no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4C2×#4114yes—
1196C2×D42−1+414yes—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—28no—
1201C22×C4—28no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—28no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—44no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—42no—
1225C22×C4—44no—
1226C22×C4—42no—
1227C22×C4—41no—
1228C22×C4—44no—
1229C22×C4—41no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4C2×#4118yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2514yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2514yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2514yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4C2×#4114yes—
1344C4⋊C4H(5,𝔽2)14yes—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—24no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4C2×#4118yes—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—24no—
1391C42—24no—
1392C42—22no—
1393C42—28no—
1394C42—24no—
1395C42—28no—
1396C42—24no—
1397C42—22no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—22no—
1402C42—22no—
1403C42—24no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—42no—
1409C42—42no—
1410C42—44no—
1411C42—41no—
1412C42—41no—
1413C42—42no—
1414C42—44no—
1415C42—42no—
1416C42—44no—
1417C42—42no—
1418C42—44no—
1419C42—41no—
1420C42—41no—
1421C42C2×#4114yes—
1422C422−1+414yes—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23C22×#4114yes—
1443C23C2×2−1+414yes—
1444C23C2611yescharacteristic
1445Q8—44no—
1446Q8—44no—
1447Q8—48no—
1448Q8—84no—
1449Q8—164no—
1450Q8—164no—
1451D4—28no—
1452D4—28no—
1453D4—416no—
1454D4—84no—
1455D4—84no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—216no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—21no—
1524C2×C4—24no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—48no—
1543C2×C4—48no—
1544C2×C4—416no—
1545C2×C4—48no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—82no—
1549C2×C4—84no—
1550C2×C4—88no—
1551C2×C4—84no—
1552C2×C4—88no—
1553C2×C4—164no—
1554C2×C4C22×#4112yes—
1555C2×C4C22×#4114yes—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4112yes—
1558C2×C4C2×H(5,𝔽2)14yes—
1559C2×C4C2×H(5,𝔽2)12yes—
1560C2×C4C2×2−1+412yes—
1561C2×C4C2×2−1+412yes—
1562C2×C4C2×2−1+412yes—
1563C2×C4C2×2−1+412yes—
1564C2×C4#58512yes—
1565C22—24no—
1566C22—24no—
1567C22—24no—
1568C22—24no—
1569C22—24no—
1570C22—24no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22C23×#4111yescharacteristic
1587C22C22×H(5,𝔽2)11yescharacteristic
1588C22C22×2−1+411yescharacteristic
1589C22C22×2−1+411yescharacteristic
1590C22C2×#58511yescharacteristic
1591C22H(7,𝔽2)11yescharacteristic
1592C222−1+611yescharacteristic
1593C4—24no—
1594C4—22no—
1595C4—22no—
1596C4—24no—
1597C4—22no—
1598C4—41no—
1599C4—44no—
1600C4—42no—
1601C4—41no—
1602C4—42no—
1603C4—44no—
1604C4—42no—
1605C4—41no—
1606C4—42no—
1607C4—42no—
1608C4—41no—
1609C4—42no—
1610C4—44no—
1611C4—42no—
1612C4—44no—
1613C4—42no—
1614C4—41no—
1615C4—41no—
1616C4—42no—
1617C4—42no—
1618C4—41no—
1619C4—42no—
1620C4—41no—
1621C4—41no—
1622C4—42no—
1623C4#346114yes—
1624C4#352014yes—
1625C2—44no—
1626C2—44no—
1627C2—81no—
1628C2C2×#346111yescharacteristic
1629C2C2×#352011yescharacteristic
1630C2#6285711yescharacteristic
1631C2#6291511yescharacteristic
1632C2#6292311yescharacteristic
1633C2#6294511yescharacteristic
1634C2#6295011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38908C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42640C2semidirect
2. #42636C2semidirect
3. #42559C2semidirect
4. #42548C2semidirect
5. #41354C2semidirect
6. #41217C2semidirect
7. #39633C2semidirect
8. #39608C2semidirect
9. #39427C2semidirect
10. #39369C2semidirect
11. #39353C2semidirect
12. #39081C2semidirect
13. #38986C2semidirect
14. #38955C2semidirect
15. #38921C2semidirect
17. #38248C2semidirect
18. #38200C2semidirect
19. #37526C2semidirect
20. #37503C2semidirect
21. #36947C2semidirect
22. #36939C2semidirect
23. #35553C2semidirect
24. #35547C2semidirect
25. #35283C2semidirect
26. #35257C2semidirect
27. #35239C2semidirect
28. #35231C2semidirect
29. #35205C2semidirect
30. #35199C2semidirect
31. #34941C2semidirect
32. #34913C2semidirect
33. #34332C2semidirect
34. C4×#547C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#426402
#426362
#425592
#425482
#413542
#412172
#396332
#396082
#394272
#393692
#393532
#390812
#389862
#389552
#389212
#389082
#382482
#382002
#375262
#375032
#369472
#369392
#355532
#355472
#352832
#352572
#352392
#352312
#352052
#351992
#349412
#349132
#343322
C4×#5472
#340842