Finite Group Databasebeta

← #7746764

Subgroups — #7746764

Order 512.

4814 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45385C212yesmaximal, complemented
2#45383C212yesmaximal, complemented
3#45298C212yesmaximal, complemented
4#45286C212yesmaximal, complemented
5#45256C212yesmaximal, complemented
6#45224C212yesmaximal, complemented
7#45192C212yesmaximal, complemented
8#45148C212yesmaximal, complemented
9#45076C212yesmaximal, complemented
10#45052C212yesmaximal, complemented
11#45029C212yesmaximal, complemented
12#45009C212yesmaximal, complemented
13#42902C212yesmaximal, complemented
14#42900C212yesmaximal, complemented
15#42620C212yesmaximal, complemented
16#42604C212yesmaximal, complemented
17#42564C212yesmaximal, complemented
18#42542C212yesmaximal, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36563C211yesmaximal, characteristic, complemented
21#36210C211yesmaximal, characteristic, complemented
22#36210C211yesmaximal, characteristic, complemented
23#36187C211yesmaximal, characteristic, complemented
24#36150C211yesmaximal, characteristic, complemented
25#36129C211yesmaximal, characteristic, complemented
26#36122C211yesmaximal, characteristic, complemented
27#36077C212yesmaximal, complemented
28#35963C212yesmaximal, complemented
29#35895C212yesmaximal, complemented
30#35880C212yesmaximal, complemented
31#35849C212yesmaximal, complemented
32#35801C212yesmaximal, complemented
33#35288C211yesmaximal, characteristic, complemented
34#35288C211yesmaximal, characteristic, complemented
35#35283C211yesmaximal, characteristic, complemented
36#34551C211yesmaximal, characteristic, complemented
37#34226C211yesmaximal, characteristic, complemented
38#34225C211yesmaximal, characteristic, complemented
39#34209C211yesmaximal, characteristic, complemented
40C2×#555C2212yes—
41C2×#548C2212yes—
42C2×#533C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C22×C4⋊Q8C2211yescharacteristic
45C2×#519C2212yes—
46#2868C2211yescharacteristic
47#2862C2211yescharacteristic
48#2859C2211yescharacteristic
49#2859C2211yescharacteristic
50#2858C2211yescharacteristic
51#2858C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2856C2211yescharacteristic
57#2856C2211yescharacteristic
58#2838C2214yes—
59#2829C2214yes—
60#2808C2214yes—
61#2803C2214yes—
62#2800C2214yes—
63#2798C2214yes—
64#2795C2214yes—
65#2787C2214yes—
66#2787C2214yes—
67#2786C2214yes—
68#2786C2214yes—
69#2779C2214yes—
70#2775C2214yes—
71#2764C2214yes—
72#2759C2214yes—
73#2751C2214yes—
74#2746C2214yes—
75#2745C2214yes—
76#2744C2214yes—
77#2740C2214yes—
78#2739C2214yes—
79#2737C2214yes—
80#2712C2214yes—
81#2700C2214yes—
82#2699C2214yes—
83#2686C2214yes—
84#2667C2214yes—
85#2653C2214yes—
86#2651C2214yes—
87#2650C2214yes—
88#2647C2212yes—
89#2644C2212yes—
90#2644C2212yes—
91#2632C2214yes—
92#2628C2212yes—
93#2624C2212yes—
94#2624C2214yes—
95#2624C2212yes—
96#2599C2214yes—
97#2596C2214yes—
98#2594C2214yes—
99#2592C2212yes—
100#2592C2212yes—
101#2592C2214yes—
102#2589C2214yes—
103#2587C2214yes—
104#2582C2212yes—
105#2580C2212yes—
106#2577C2214yes—
107#2572C2214yes—
108#2569C2214yes—
109#2567C2212yes—
110#2563C2212yes—
111#2562C2212yes—
112#2562C2212yes—
113#2552C2212yes—
114#2550C2212yes—
115#2550C2212yes—
116#2550C2212yes—
117#2545C2212yes—
118#2540C2212yes—
119#2537C2212yes—
120#2537C2212yes—
121#2532C2214yes—
122#2531C2214yes—
123#2527C2214yes—
124#2526C2214yes—
125#2516C2214yes—
126#2514C2212yes—
127#2514C2212yes—
128#2513C2212yes—
129#2513C2212yes—
130#2513C2212yes—
131#2513C2212yes—
132#2511C2212yes—
133#2511C2212yes—
134#2509C2212yes—
135#2509C2212yes—
136#2507C2212yes—
137#2507C2212yes—
138#2500C2212yes—
139#2500C2212yes—
140#2500C2214yes—
141#2497C2214yes—
142#2495C2212yes—
143#2495C2212yes—
144#2494C2212yes—
145#2494C2212yes—
146#2494C2212yes—
147#2494C2212yes—
148#2493C2214yes—
149#2492C2212yes—
150#2492C2212yes—
151#2492C2212yes—
152#2491C2212yes—
153#2491C2212yes—
154#2491C2212yes—
155#2491C2212yes—
156#2491C2212yes—
157#2491C2212yes—
158#2490C2212yes—
159#2490C2212yes—
160#2490C2212yes—
161#2485C2212yes—
162#2485C2212yes—
163#2485C2214yes—
164#2476C2214yes—
165#2476C2214yes—
166#2474C2214yes—
167#2474C2214yes—
168#2474C2214yes—
169#2454C2212yes—
170#2454C2212yes—
171#2454C2212yes—
172#2452C2212yes—
173#2452C2212yes—
174#2451C2212yes—
175#2451C2212yes—
176#2451C2212yes—
177#2451C2212yes—
178#2451C2212yes—
179#2448C2212yes—
180#2448C2212yes—
181#2448C2214yes—
182#2448C2212yes—
183#2448C2212yes—
184#2448C2214yes—
185#2448C2212yes—
186#2447C2212yes—
187#2447C2212yes—
188#2447C2212yes—
189#2447C2214yes—
190#2447C2212yes—
191#2446C2212yes—
192#2444C2214yes—
193#2442C2212yes—
194#2439C2212yes—
195#2438C2214yes—
196#2436C2212yes—
197#2432C2212yes—
198#2429C2212yes—
199#2427C2212yes—
200#2427C2212yes—
201#2427C2212yes—
202#2426C2212yes—
203#2426C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2423C2214yes—
207#2423C2212yes—
208#2423C2212yes—
209#2421C2212yes—
210#2421C2214yes—
211#2421C2212yes—
212#2420C2212yes—
213#2420C2212yes—
214#2417C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2414C2212yes—
220#2409C2212yes—
221#2407C2212yes—
222#2402C2211yescharacteristic
223#2402C2211yescharacteristic
224#2402C2211yescharacteristic
225#2401C2211yescharacteristic
226#2401C2211yescharacteristic
227#2401C2211yescharacteristic
228#2401C2211yescharacteristic
229#2401C2211yescharacteristic
230#2401C2211yescharacteristic
231#2398C2211yescharacteristic
232#2398C2211yescharacteristic
233#2398C2211yescharacteristic
234#2396C2211yescharacteristic
235#2396C2214yes—
236#2396C2211yescharacteristic
237#2396C2211yescharacteristic
238#2395C2214yes—
239#2395C2211yescharacteristic
240#2395C2211yescharacteristic
241#2395C2211yescharacteristic
242#2395C2211yescharacteristic
243#2395C2211yescharacteristic
244#2395C2211yescharacteristic
245#2392C2211yescharacteristic
246#2392C2211yescharacteristic
247#2392C2211yescharacteristic
248#2370C2212yes—
249#2370C2212yes—
250#2370C2212yes—
251#2370C2212yes—
252#2369C2212yes—
253#2367C2212yes—
254#2367C2212yes—
255#2367C2212yes—
256#2367C2212yes—
257#2367C2212yes—
258#2365C2212yes—
259#2365C2212yes—
260#2365C2212yes—
261#2365C2212yes—
262#2363C2212yes—
263#2363C2212yes—
264#2363C2212yes—
265#2362C2212yes—
266#2362C2212yes—
267#2362C2212yes—
268#2362C2212yes—
269#2361C2212yes—
270#2361C2212yes—
271#2360C2212yes—
272#2357C2212yes—
273#2357C2212yes—
274#2356C2212yes—
275#2355C2212yes—
276#2354C2212yes—
277#2354C2212yes—
278#2352C2212yes—
279#2351C2212yes—
280Q8×C4⋊C4C2212yes—
281#2349C2212yes—
282#2347C2212yes—
283#2347C2212yes—
284#2347C2212yes—
285#2346C2212yes—
286#2344C2212yes—
287#2344C2212yes—
288#2344C2212yes—
289#2344C2212yes—
290#2341C2212yes—
291#2341C2212yes—
292Q8×C22⋊C4C2212yes—
293#2339C2212yes—
294#2331C2212yes—
295#2327C2212yes—
296#2327C2212yes—
297#2324C2212yes—
298#2324C2212yes—
299#2324C2212yes—
300#2324C2212yes—
301#2323C2212yes—
302#2323C2212yes—
303#2320C2212yes—
304#2319C2212yes—
305#2319C2212yes—
306#2319C2212yes—
307#2314C2212yes—
308#2310C2212yes—
309C4×C4⋊Q8C2211yescharacteristic
310C4×C4⋊Q8C2211yescharacteristic
311C4×C4⋊Q8C2211yescharacteristic
312C4×C4⋊Q8C2211yescharacteristic
313C4×C4⋊Q8C2211yescharacteristic
314C4×C4⋊Q8C2211yescharacteristic
315C4×C4⋊Q8C2211yescharacteristic
316C4×C4⋊Q8C2211yescharacteristic
317C4×#127C2211yescharacteristic
318C4×#127C2211yescharacteristic
319#2285C2211yescharacteristic
320#2285C2211yescharacteristic
321#2285C2211yescharacteristic
322#2276C2212yes—
323#2275C2212yes—
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C22×#41C2312yes—
332C23×Q8C2312yes—
333#555—48no—
334#548—48no—
335#533—28no—
336#532—28no—
337C2×C4⋊Q8—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×#127C2311yescharacteristic
348C2×#125C2312yes—
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#124C2312yes—
352C2×#124C2312yes—
353C2×#124C2312yes—
354C2×#124C2314yes—
355C2×#124C2312yes—
356C2×#124C2312yes—
357C2×#124C2314yes—
358C2×#124C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376#519—48no—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2314yes—
391C2×C4×Q8C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2314yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C2×#117C2312yes—
413C2×#117C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2311yescharacteristic
417C2×#117C2311yescharacteristic
418C2×#117C2314yes—
419C2×#117C2314yes—
420C2×#117C2314yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428#401C2314yes—
429#401C2311yescharacteristic
430#401C2314yes—
431#401C2311yescharacteristic
432#400C2314yes—
433#400C2314yes—
434#400C2311yescharacteristic
435#400C2314yes—
436#400C2314yes—
437#400C2311yescharacteristic
438#400C2314yes—
439#400C2311yescharacteristic
440#400C2311yescharacteristic
441#400C2314yes—
442#400C2314yes—
443#400C2311yescharacteristic
444#400C2311yescharacteristic
445#400C2311yescharacteristic
446#400C2311yescharacteristic
447#400C2311yescharacteristic
448#400C2314yes—
449#400C2311yescharacteristic
450#400C2311yescharacteristic
451#400C2311yescharacteristic
452#400C2311yescharacteristic
453#400C2311yescharacteristic
454#400C2311yescharacteristic
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2311yescharacteristic
461#399C2311yescharacteristic
462#399C2311yescharacteristic
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2311yescharacteristic
469#398C2314yes—
470#398C2311yescharacteristic
471#398C2314yes—
472#398C2311yescharacteristic
473#398C2311yescharacteristic
474#398C2311yescharacteristic
475#398C2311yescharacteristic
476#398C2311yescharacteristic
477#398C2311yescharacteristic
478#398C2311yescharacteristic
479#398C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2311yescharacteristic
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2311yescharacteristic
496#397C2311yescharacteristic
497#397C2311yescharacteristic
498#397C2314yes—
499#397C2311yescharacteristic
500#397C2311yescharacteristic
501#397C2311yescharacteristic
502#397C2311yescharacteristic
503#397C2311yescharacteristic
504#397C2311yescharacteristic
505#397C2311yescharacteristic
506#397C2311yescharacteristic
507#397C2311yescharacteristic
508#397C2311yescharacteristic
509#397C2311yescharacteristic
510#397C2314yes—
511#397C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2311yescharacteristic
518#396C2311yescharacteristic
519#396C2311yescharacteristic
520#396C2311yescharacteristic
521#396C2311yescharacteristic
522#396C2311yescharacteristic
523#396C2314yes—
524#395C2314yes—
525#395C2314yes—
526#395C2314yes—
527#395C2314yes—
528#395C2311yescharacteristic
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2311yescharacteristic
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2311yescharacteristic
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2311yescharacteristic
543#394C2311yescharacteristic
544#394C2311yescharacteristic
545#394C2311yescharacteristic
546#394C2311yescharacteristic
547#394C2311yescharacteristic
548#394C2311yescharacteristic
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#393C2314yes—
553#393C2314yes—
554#393C2311yescharacteristic
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2311yescharacteristic
561#393C2311yescharacteristic
562#392C2314yes—
563#392C2311yescharacteristic
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2314yes—
573#391C2314yes—
574#391C2314yes—
575#391C2314yes—
576#391C2314yes—
577#391C2314yes—
578#391C2312yes—
579#391C2312yes—
580#391C2314yes—
581#391C2312yes—
582#391C2314yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2314yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2314yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#390C2314yes—
604#390C2312yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2314yes—
639#389C2312yes—
640#389C2312yes—
641#389C2314yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2314yes—
655#389C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2314yes—
745#384C2312yes—
746#384C2312yes—
747#384C2312yes—
748#383C2314yes—
749#383C2314yes—
750#383C2314yes—
751#382C2312yes—
752#382C2312yes—
753#382C2312yes—
754#382C2314yes—
755#382C2312yes—
756#382C2312yes—
757#382C2312yes—
758#382C2312yes—
759#381C2314yes—
760#381C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#381C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2314yes—
774#380C2314yes—
775#380C2314yes—
776#380C2314yes—
777#380C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2314yes—
854C4×C22⋊C4C2311yescharacteristic
855C4×C22⋊C4C2311yescharacteristic
856C4×C22⋊C4C2311yescharacteristic
857C4×C22⋊C4C2311yescharacteristic
858C4×C22⋊C4C2311yescharacteristic
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878C4×C22⋊C4C2311yescharacteristic
879C4×C22⋊C4C2311yescharacteristic
880#376C2311yescharacteristic
881#376C2311yescharacteristic
882#376C2311yescharacteristic
883#376C2311yescharacteristic
884#376C2314yes—
885#376C2311yescharacteristic
886#376C2311yescharacteristic
887C2×#95C2314yes—
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C2×#41—28no—
893C2×#41—44no—
894C2×#41—44no—
895C22×Q8—28no—
896C22×Q8—28no—
897C22×Q8—44no—
898C22×Q8C2412yes—
899C22×Q8C2412yes—
900C22×Q8C2414yes—
901C22×Q8C2412yes—
902C22×Q8C2411yescharacteristic
903C22×Q8C2414yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2411yescharacteristic
908C22×D4C2411yescharacteristic
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2411yescharacteristic
912C22×D4C2414yes—
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2414yes—
922C23×C4C2411yescharacteristic
923C23×C4C2414yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C4⋊Q8—28no—
927C4⋊Q8—28no—
928C4⋊Q8—28no—
929C4⋊Q8—24no—
930C4⋊Q8—24no—
931C4⋊Q8—44no—
932C4⋊Q8—44no—
933C4⋊Q8—44no—
934C4⋊Q8#4118yes—
935#127—24no—
936#125—28no—
937#125—44no—
938#125—44no—
939#124—28no—
940#124—48no—
941#124—44no—
942#124—44no—
943#124—44no—
944#124—44no—
945#124—48no—
946#124—48no—
947C22⋊Q8—28no—
948C22⋊Q8—28no—
949C22⋊Q8—48no—
950C22⋊Q8—44no—
951C22⋊Q8—44no—
952C22⋊Q8—44no—
953C22⋊Q8—44no—
954#121—28no—
955#121—28no—
956#121—28no—
957#121—48no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—48no—
964C4×Q8—28no—
965C4×Q8—28no—
966C4×Q8—24no—
967C4×Q8—42no—
968C4×Q8—42no—
969C4×Q8—44no—
970C4×Q8—44no—
971C4×Q8—44no—
972C4×Q8—48no—
973C4×Q8—48no—
974C4×Q8—44no—
975C4×Q8—44no—
976C4×Q8—44no—
977C4×Q8—44no—
978C4×Q8—44no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—28no—
982C4×D4—28no—
983C4×D4—24no—
984C4×D4—28no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—42no—
991C4×D4—42no—
992C4×D4—42no—
993C4×D4—42no—
994C4×D4—42no—
995C4×D4—42no—
996C4×D4—48no—
997#117—24no—
998#117—28no—
999#117—28no—
1000#117—24no—
1001#117—42no—
1002#117—42no—
1003#117—42no—
1004#117—42no—
1005#117—48no—
1006#117—48no—
1007#117—48no—
1008#117—44no—
1009#117—44no—
1010C2×C4⋊C4—28no—
1011C2×C4⋊C4—28no—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C42—24no—
1144C2×C42—24no—
1145C2×C42—24no—
1146C2×C42C2414yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2414yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2414yes—
1181C2×C42C2414yes—
1182C2×C42C2414yes—
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2414yes—
1188C2×C42C2414yes—
1189C2×C42C2414yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278C24C2511yescharacteristic
1279C24C2514yes—
1280C24C2511yescharacteristic
1281C24C2511yescharacteristic
1282#41—816no—
1283C2×Q8—24no—
1284C2×Q8—28no—
1285C2×Q8—24no—
1286C2×Q8—24no—
1287C2×Q8—28no—
1288C2×Q8—24no—
1289C2×Q8—22no—
1290C2×Q8—24no—
1291C2×Q8—24no—
1292C2×Q8—24no—
1293C2×Q8—24no—
1294C2×Q8—41no—
1295C2×Q8—41no—
1296C2×Q8—44no—
1297C2×Q8—44no—
1298C2×Q8—44no—
1299C2×Q8—44no—
1300C2×Q8—432no—
1301C2×Q8C2×#4118yes—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—28no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—28no—
1309C2×D4—24no—
1310C2×D4—22no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—28no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—28no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—28no—
1358C22×C4—28no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4H(5,𝔽2)14yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2514yes—
1379C22×C4C2514yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2514yes—
1384C22×C4C2514yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2514yes—
1391C22×C4C2514yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2514yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C4⋊C4—28no—
1404C4⋊C4—28no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—28no—
1409C4⋊C4—28no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—41no—
1439C4⋊C4—41no—
1440C4⋊C4—41no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—41no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
1449C4⋊C4—41no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—44no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—44no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4C2×#4118yes—
1473C4⋊C4C2×#4118yes—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—28no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—28no—
1480C22⋊C4—28no—
1481C22⋊C4—28no—
1482C22⋊C4—28no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—28no—
1489C22⋊C4—22no—
1490C22⋊C4—41no—
1491C22⋊C4—41no—
1492C22⋊C4—41no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—41no—
1502C22⋊C4—44no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—28no—
1544C42—28no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—44no—
1569C42—44no—
1570C42—44no—
1571C42—44no—
1572C42—44no—
1573C42—44no—
1574C42—44no—
1575C42—44no—
1576C42—44no—
1577C42—44no—
1578C42C2×#4114yes—
1579C422−1+414yes—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—24no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—24no—
1592C23—21no—
1593C23—21no—
1594C23—24no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—24no—
1601C23—24no—
1602C23—24no—
1603C23—24no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23C2×H(5,𝔽2)12yes—
1608C23C2611yescharacteristic
1609Q8—216no—
1610Q8—416no—
1611Q8—44no—
1612Q8—48no—
1613Q8—48no—
1614Q8—164no—
1615D4—44no—
1616D4—44no—
1617D4—44no—
1618D4—48no—
1619D4—48no—
1620D4—48no—
1621D4—88no—
1622D4—88no—
1623D4—164no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—24no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—24no—
1631C2×C4—21no—
1632C2×C4—28no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—24no—
1649C2×C4—24no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—24no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—24no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—416no—
1718C2×C4—44no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—88no—
1727C2×C4—88no—
1728C2×C4—164no—
1729C2×C4C22×#4118yes—
1730C2×C4C22×#4112yes—
1731C2×C4C22×#4112yes—
1732C2×C4C22×#4112yes—
1733C2×C4C2×H(5,𝔽2)12yes—
1734C2×C4C2×H(5,𝔽2)12yes—
1735C2×C4C2×2−1+412yes—
1736C2×C4C2×2−1+412yes—
1737C2×C4C2×2−1+412yes—
1738C2×C4#58512yes—
1739C2×C4#58512yes—
1740C2×C4#58512yes—
1741C2×C4#58512yes—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—44no—
1752C22—41no—
1753C22—41no—
1754C22—44no—
1755C22—41no—
1756C22—41no—
1757C22—44no—
1758C22—44no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—44no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—44no—
1767C22—44no—
1768C22—41no—
1769C22—41no—
1770C22C23×#4111yescharacteristic
1771C22C22×H(5,𝔽2)11yescharacteristic
1772C22C22×2−1+411yescharacteristic
1773C22C2×#58511yescharacteristic
1774C22C2×#58511yescharacteristic
1775C22C2×#58511yescharacteristic
1776C22C2×#58511yescharacteristic
1777C4—22no—
1778C4—28no—
1779C4—22no—
1780C4—22no—
1781C4—41no—
1782C4—41no—
1783C4—44no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—44no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—44no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—44no—
1799C4—44no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—44no—
1807C4—41no—
1808C4—41no—
1809C4#351314yes—
1810C4#351814yes—
1811C4#352414yes—
1812C2—42no—
1813C2—81no—
1814C2—81no—
1815C2—84no—
1816C2C2×#351311yescharacteristic
1817C2C2×#351811yescharacteristic
1818C2C2×#352411yescharacteristic
1819C2#6283511yescharacteristic
1820C2#6283611yescharacteristic
1821C2#6283811yescharacteristic
1822C2#6283911yescharacteristic
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. #45385C2semidirect
2. #45383C2semidirect
3. #45298C2semidirect
4. #45286C2semidirect
5. #45256C2semidirect
6. #45224C2semidirect
7. #45192C2semidirect
8. #45148C2semidirect
9. #45076C2semidirect
10. #45052C2semidirect
11. #45029C2semidirect
12. #45009C2semidirect
13. #42902C2semidirect
14. #42900C2semidirect
15. #42620C2semidirect
16. #42604C2semidirect
17. #42564C2semidirect
18. #42542C2semidirect
19. #36609C2semidirect
20. #36563C2semidirect
21. #36210C2semidirect
22. #36210C2semidirect
23. #36187C2semidirect
24. #36150C2semidirect
25. #36129C2semidirect
26. #36122C2semidirect
27. #36077C2semidirect
28. #35963C2semidirect
29. #35895C2semidirect
30. #35880C2semidirect
31. #35849C2semidirect
32. #35801C2semidirect
33. #35288C2semidirect
34. #35288C2semidirect
35. #35283C2semidirect
36. #34551C2semidirect
37. #34226C2semidirect
38. #34225C2semidirect
39. #34209C2semidirect

Maximal subgroups

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

subgroupindex
#453852
#453832
#452982
#452862
#452562
#452242
#451922
#451482
#450762
#450522
#450292
#450092
#429022
#429002
#426202
#426042
#425642
#425422
#366092
#365632
#362102
#361872
#361502
#361292
#361222
#360772
#359632
#358952
#358802
#358492
#358012
#352882
#352832
#345512
#342262
#342252
#342092