Finite Group Databasebeta

← #7647311

Subgroups — #7647311

Order 512.

4841 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42900C212yesmaximal, complemented
2#42894C212yesmaximal, complemented
3#42620C212yesmaximal, complemented
4#42583C212yesmaximal, complemented
5#41327C214yesmaximal, complemented
6#41245C214yesmaximal, complemented
7#39803C212yesmaximal, complemented
8#39763C211yesmaximal, characteristic, complemented
9#39725C211yesmaximal, characteristic, complemented
10#39626C211yesmaximal, characteristic, complemented
11#39598C211yesmaximal, characteristic, complemented
12#39298C212yesmaximal, complemented
13#39169C211yesmaximal, characteristic, complemented
14#39158C211yesmaximal, characteristic, complemented
15#38985C211yesmaximal, characteristic, complemented
16#38942C211yesmaximal, characteristic, complemented
17#38286C212yesmaximal, complemented
18#38238C212yesmaximal, complemented
19#37625C212yesmaximal, complemented
20#37591C212yesmaximal, complemented
21#37209C214yesmaximal, complemented
22#37205C214yesmaximal, complemented
23#35589C212yesmaximal, complemented
24#35569C212yesmaximal, complemented
25#35288C211yesmaximal, characteristic, complemented
26#35198C211yesmaximal, characteristic, complemented
27#35193C212yesmaximal, complemented
28#35189C212yesmaximal, complemented
29#35175C212yesmaximal, complemented
30#35155C212yesmaximal, complemented
31#34941C211yesmaximal, characteristic, complemented
32#34914C211yesmaximal, characteristic, complemented
33#34317C211yesmaximal, characteristic, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35#34085C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#542C2212yes—
39C2×#533C2211yescharacteristic
40C2×#529C2212yes—
41C2×C4×#41C2212yes—
42#2860C2212yes—
43#2859C2211yescharacteristic
44#2858C2211yescharacteristic
45#2858C2212yes—
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2855C2214yes—
49#2853C2214yes—
50#2851C2214yes—
51#2850C2214yes—
52#2830C2214yes—
53#2829C2214yes—
54#2829C2214yes—
55#2829C2214yes—
56#2808C2214yes—
57#2806C2214yes—
58#2803C2214yes—
59#2800C2214yes—
60#2800C2214yes—
61#2800C2214yes—
62#2800C2214yes—
63#2793C2214yes—
64#2792C2214yes—
65#2787C2214yes—
66#2786C2214yes—
67#2786C2214yes—
68#2786C2214yes—
69#2759C2214yes—
70#2756C2214yes—
71#2740C2214yes—
72#2733C2214yes—
73#2715C2214yes—
74#2715C2214yes—
75#2711C2214yes—
76#2704C2214yes—
77#2700C2214yes—
78#2700C2214yes—
79#2700C2214yes—
80#2700C2214yes—
81#2699C2214yes—
82#2699C2214yes—
83#2686C2214yes—
84#2683C2214yes—
85#2676C2214yes—
86#2676C2214yes—
87#2676C2214yes—
88#2667C2214yes—
89#2665C2214yes—
90#2662C2214yes—
91#2662C2214yes—
92#2660C2212yes—
93#2653C2214yes—
94#2651C2214yes—
95#2648C2214yes—
96#2644C2212yes—
97#2644C2212yes—
98#2644C2212yes—
99#2641C2212yes—
100#2641C2212yes—
101#2641C2212yes—
102#2638C2214yes—
103#2630C2214yes—
104#2630C2214yes—
105#2630C2214yes—
106#2629C2212yes—
107#2624C2214yes—
108#2624C2212yes—
109#2620C2214yes—
110#2619C2212yes—
111#2601C2214yes—
112#2601C2214yes—
113#2594C2214yes—
114#2592C2212yes—
115#2589C2214yes—
116#2587C2214yes—
117#2584C2212yes—
118#2582C2212yes—
119#2580C2212yes—
120#2576C2214yes—
121#2574C2214yes—
122#2574C2214yes—
123#2567C2211yescharacteristic
124#2567C2212yes—
125#2566C2212yes—
126#2563C2211yescharacteristic
127#2560C2214yes—
128#2560C2214yes—
129#2560C2212yes—
130#2559C2212yes—
131#2558C2212yes—
132#2557C2212yes—
133#2557C2214yes—
134#2556C2214yes—
135#2555C2214yes—
136#2552C2211yescharacteristic
137#2552C2212yes—
138#2551C2211yescharacteristic
139#2550C2212yes—
140#2548C2211yescharacteristic
141#2548C2212yes—
142#2547C2212yes—
143#2541C2211yescharacteristic
144#2541C2212yes—
145#2540C2212yes—
146#2538C2211yescharacteristic
147#2538C2212yes—
148#2538C2211yescharacteristic
149#2538C2212yes—
150#2538C2212yes—
151#2537C2212yes—
152#2521C2214yes—
153#2513C2212yes—
154#2513C2212yes—
155#2513C2212yes—
156#2512C2212yes—
157#2512C2214yes—
158#2512C2212yes—
159#2512C2211yescharacteristic
160#2508C2212yes—
161#2507C2212yes—
162#2506C2211yescharacteristic
163#2500C2212yes—
164#2497C2212yes—
165#2496C2211yescharacteristic
166#2494C2212yes—
167#2494C2212yes—
168#2491C2212yes—
169#2491C2212yes—
170#2491C2211yescharacteristic
171#2491C2212yes—
172#2490C2212yes—
173#2490C2212yes—
174#2485C2212yes—
175#2485C2212yes—
176#2485C2212yes—
177#2478C2214yes—
178#2477C2214yes—
179#2476C2214yes—
180#2476C2214yes—
181#2474C2214yes—
182#2474C2214yes—
183#2468C2214yes—
184#2466C2214yes—
185#2461C2214yes—
186#2461C2214yes—
187#2459C2214yes—
188#2454C2212yes—
189#2454C2212yes—
190#2452C2212yes—
191#2452C2211yescharacteristic
192#2452C2212yes—
193#2451C2212yes—
194#2448C2212yes—
195#2447C2212yes—
196#2447C2212yes—
197#2445C2211yescharacteristic
198#2445C2212yes—
199#2440C2212yes—
200#2439C2212yes—
201#2432C2212yes—
202#2429C2212yes—
203#2428C2212yes—
204#2428C2211yescharacteristic
205#2427C2214yes—
206#2427C2212yes—
207#2426C2212yes—
208#2426C2212yes—
209#2423C2212yes—
210#2422C2214yes—
211#2422C2211yescharacteristic
212#2420C2212yes—
213#2420C2212yes—
214#2417C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2415C2214yes—
220#2414C2214yes—
221#2414C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2398C2212yes—
226#2396C2214yes—
227#2392C2212yes—
228#2370C2212yes—
229#2369C2211yescharacteristic
230#2366C2211yescharacteristic
231#2366C2212yes—
232#2363C2214yes—
233#2363C2212yes—
234#2362C2214yes—
235#2362C2212yes—
236#2357C2212yes—
237#2355C2211yescharacteristic
238#2354C2211yescharacteristic
239#2354C2211yescharacteristic
240#2354C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242#2344C2212yes—
243#2341C2212yes—
244#2336C2212yes—
245#2336C2212yes—
246#2332C2214yes—
247#2332C2212yes—
248#2332C2212yes—
249#2331C2211yescharacteristic
250#2331C2211yescharacteristic
251#2331C2212yes—
252#2331C2212yes—
253#2330C2212yes—
254#2328C2212yes—
255#2327C2211yescharacteristic
256#2327C2211yescharacteristic
257#2324C2212yes—
258#2324C2212yes—
259#2324C2212yes—
260#2324C2212yes—
261#2323C2212yes—
262#2323C2211yescharacteristic
263#2323C2211yescharacteristic
264#2323C2211yescharacteristic
265#2323C2211yescharacteristic
266#2319C2212yes—
267#2319C2212yes—
268#2319C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×#127C2211yescharacteristic
272C4×#127C2211yescharacteristic
273C4×#127C2212yes—
274C4×#125C2212yes—
275C4×#125C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2214yes—
281#2298C2212yes—
282#2298C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2293C2212yes—
290#2290C2212yes—
291#2285C2212yes—
292#2283C2211yescharacteristic
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300#554—28no—
301#550—28no—
302#542—48no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314#529—48no—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C4×#41—48no—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2311yescharacteristic
393C2×#117C2314yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2314yes—
397C2×#117C2314yes—
398C22×C4⋊C4C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401C22×C42C2314yes—
402#401C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2312yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2312yes—
456#396C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
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#394C2312yes—
490#394C2312yes—
491#394C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2312yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2312yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2312yes—
504#392C2314yes—
505#392C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2311yescharacteristic
562#390C2314yes—
563#390C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2314yes—
605#389C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2314yes—
721#384C2312yes—
722#384C2312yes—
723#383C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2314yes—
727#382C2311yescharacteristic
728#382C2311yescharacteristic
729#382C2312yes—
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2312yes—
734#381C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2311yescharacteristic
752#380C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807#376C2311yescharacteristic
808#376C2312yes—
809#376C2312yes—
810#376C2311yescharacteristic
811#376C2312yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2411yescharacteristic
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8—24no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856#127—24no—
857#127—28no—
858#127—42no—
859#127—44no—
860#126—44no—
861#126—44no—
862#126—48no—
863#126—84no—
864#125—28no—
865#125—28no—
866#125—44no—
867#125—44no—
868#125—44no—
869#124—44no—
870#124—48no—
871#124—44no—
872#124—84no—
873#124—84no—
874#124—82no—
875#124—82no—
876#124—84no—
877#123—44no—
878#123—44no—
879#123—48no—
880C22⋊Q8—24no—
881C22⋊Q8—28no—
882C22⋊Q8—24no—
883C22⋊Q8—28no—
884C22⋊Q8—216no—
885C22⋊Q8—44no—
886C22⋊Q8—48no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—84no—
890C22⋊Q8—84no—
891C22⋊Q8—82no—
892#121—28no—
893#121—216no—
894#121—24no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—42no—
900#121—44no—
901#121—84no—
902#121—84no—
903#121—82no—
904#121—84no—
905C4×Q8—28no—
906C4×Q8—24no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—44no—
910C4×Q8—42no—
911C4×Q8—42no—
912C4×Q8—44no—
913C4×Q8—82no—
914C4×Q8#4118yes—
915C4×D4—24no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—28no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—42no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—48no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—82no—
932C4×D4—84no—
933#117—28no—
934#117—24no—
935#117—28no—
936#117—42no—
937#117—48no—
938#117—44no—
939#117—44no—
940#117—84no—
941#117—84no—
942C2×C4⋊C4—28no—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C42—24no—
1072C2×C42—28no—
1073C2×C42—48no—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178C24C2511yescharacteristic
1179C24C2512yes—
1180C24C2514yes—
1181C24C2512yes—
1182#41—432no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q8—44no—
1200C2×Q8C2×#4114yes—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—28no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—28no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—28no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—28no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—28no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—41no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—41no—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4C2×#4114yes—
1373C4⋊C4C2×#4118yes—
1374C4⋊C42−1+414yes—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—22no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—22no—
1385C22⋊C4—28no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—22no—
1447C42—24no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—24no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—42no—
1458C42—42no—
1459C42—44no—
1460C42—44no—
1461C42—41no—
1462C42—42no—
1463C42—42no—
1464C42—42no—
1465C42—41no—
1466C42—41no—
1467C42—41no—
1468C42—42no—
1469C42—44no—
1470C42C2×#4114yes—
1471C42C2×#4118yes—
1472C42H(5,𝔽2)14yes—
1473C23—21no—
1474C23—22no—
1475C23—24no—
1476C23—22no—
1477C23—21no—
1478C23—22no—
1479C23—24no—
1480C23—22no—
1481C23—22no—
1482C23—24no—
1483C23—22no—
1484C23—21no—
1485C23—22no—
1486C23—22no—
1487C23—21no—
1488C23—22no—
1489C23—24no—
1490C23—24no—
1491C23—21no—
1492C23—22no—
1493C23—21no—
1494C23—22no—
1495C23—24no—
1496C23—22no—
1497C23—24no—
1498C23—22no—
1499C23—22no—
1500C23—21no—
1501C23C2611yescharacteristic
1502Q8—28no—
1503Q8—44no—
1504Q8—84no—
1505Q8—84no—
1506Q8—84no—
1507Q8—164no—
1508D4—416no—
1509D4—48no—
1510D4—44no—
1511D4—44no—
1512D4—48no—
1513D4—88no—
1514D4—84no—
1515D4—84no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—164no—
1520D4—164no—
1521D4—164no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—48no—
1604C2×C4—416no—
1605C2×C4—44no—
1606C2×C4—48no—
1607C2×C4—48no—
1608C2×C4—44no—
1609C2×C4—88no—
1610C2×C4—82no—
1611C2×C4—88no—
1612C2×C4—84no—
1613C2×C4—88no—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4114yes—
1616C2×C4C22×#4114yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C2×H(5,𝔽2)12yes—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×2−1+414yes—
1623C2×C4C2×2−1+412yes—
1624C2×C4#58512yes—
1625C2×C4#58512yes—
1626C22—41no—
1627C22—42no—
1628C22—42no—
1629C22—44no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—44no—
1634C22—44no—
1635C22—42no—
1636C22—41no—
1637C22—42no—
1638C22—42no—
1639C22—44no—
1640C22—41no—
1641C22—42no—
1642C22—42no—
1643C22—44no—
1644C22—42no—
1645C22—41no—
1646C22—42no—
1647C22—44no—
1648C22—41no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—41no—
1653C22—44no—
1654C22C23×#4111yescharacteristic
1655C22C22×H(5,𝔽2)11yescharacteristic
1656C22C22×2−1+411yescharacteristic
1657C22C2×#58511yescharacteristic
1658C22C2×#58511yescharacteristic
1659C22H(7,𝔽2)11yescharacteristic
1660C22H(7,𝔽2)11yescharacteristic
1661C4—24no—
1662C4—22no—
1663C4—24no—
1664C4—22no—
1665C4—24no—
1666C4—22no—
1667C4—41no—
1668C4—44no—
1669C4—41no—
1670C4—42no—
1671C4—41no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—41no—
1678C4—41no—
1679C4—42no—
1680C4—41no—
1681C4—42no—
1682C4—44no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—41no—
1687C4—41no—
1688C4—44no—
1689C4—42no—
1690C4#346014yes—
1691C4#351814yes—
1692C2—81no—
1693C2—82no—
1694C2—82no—
1695C2—84no—
1696C2C2×#346011yescharacteristic
1697C2C2×#351811yescharacteristic
1698C2#6285811yescharacteristic
1699C2#6294411yescharacteristic
1700C2#6295211yescharacteristic
1701C2#6295511yescharacteristic
1702C2#6296611yescharacteristic
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. #42900C2semidirect
2. #42894C2semidirect
3. #42620C2semidirect
4. #42583C2semidirect
5. #41327C2semidirect
6. #41245C2semidirect
7. #39803C2semidirect
8. #39763C2semidirect
9. #39725C2semidirect
10. #39626C2semidirect
11. #39598C2semidirect
12. #39298C2semidirect
13. #39169C2semidirect
14. #39158C2semidirect
15. #38985C2semidirect
16. #38942C2semidirect
17. #38286C2semidirect
18. #38238C2semidirect
19. #37625C2semidirect
20. #37591C2semidirect
21. #37209C2semidirect
22. #37205C2semidirect
23. #35589C2semidirect
24. #35569C2semidirect
25. #35288C2semidirect
26. #35198C2semidirect
27. #35193C2semidirect
28. #35189C2semidirect
29. #35175C2semidirect
30. #35155C2semidirect
31. #34941C2semidirect
32. #34914C2semidirect
33. #34317C2semidirect
34. C4×#550C2semidirect
35. #34085C2semidirect

Maximal subgroups

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

subgroupindex
#429002
#428942
#426202
#425832
#413272
#412452
#398032
#397632
#397252
#396262
#395982
#392982
#391692
#391582
#389852
#389422
#382862
#382382
#376252
#375912
#372092
#372052
#355892
#355692
#352882
#351982
#351932
#351892
#351752
#351552
#349412
#349142
#343172
C4×#5502
#340852