Finite Group Databasebeta

← #7650158

Subgroups — #7650158

Order 512.

5134 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42775C212yesmaximal, complemented
2#42637C212yesmaximal, complemented
3#42554C212yesmaximal, complemented
4#42537C212yesmaximal, complemented
5#42515C212yesmaximal, complemented
6#42514C212yesmaximal, complemented
7#42513C212yesmaximal, complemented
8#42512C212yesmaximal, complemented
9#40838C214yesmaximal, complemented
10#40811C214yesmaximal, complemented
11#40212C212yesmaximal, complemented
12#40142C212yesmaximal, complemented
13#40002C212yesmaximal, complemented
14#40001C212yesmaximal, complemented
15#39652C212yesmaximal, complemented
16#39633C212yesmaximal, complemented
17#39398C212yesmaximal, complemented
18#39377C212yesmaximal, complemented
19#38503C214yesmaximal, complemented
20#37723C214yesmaximal, complemented
21#35592C211yesmaximal, characteristic, complemented
22#35544C211yesmaximal, characteristic, complemented
23#35530C211yesmaximal, characteristic, complemented
24#35519C211yesmaximal, characteristic, complemented
25#35519C211yesmaximal, characteristic, complemented
26#35518C211yesmaximal, characteristic
27#35281C211yesmaximal, characteristic, complemented
28#35267C211yesmaximal, characteristic, complemented
29#35227C211yesmaximal, characteristic, complemented
30#34813C211yesmaximal, characteristic, complemented
31#34813C211yesmaximal, characteristic, complemented
32C2×#2440C211yesmaximal, characteristic, complemented
33#34253C211yesmaximal, characteristic, complemented
34#34214C211yesmaximal, characteristic, complemented
35#34200C211yesmaximal, characteristic, complemented
36C2×#542C2214yes—
37C2×#537C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×C22⋊Q8C2212yes—
44C2×#520C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C23×C4⋊C4C2211yescharacteristic
47#2868C2212yescomplemented
48#2863C2212yescomplemented
49#2862C2212yescomplemented
50#2860C2212yescomplemented
51#2849C2214yes—
52#2839C2214yescomplemented
53#2838C2214yescomplemented
54#2838C2214yescomplemented
55#2837C2214yescomplemented
56#2799C2214yescomplemented
57#2790C2214yes—
58#2790C2214yescomplemented
59#2774C2214yescomplemented
60#2770C2214yescomplemented
61#2766C2214yescomplemented
62#2764C2214yes—
63#2763C2214yescomplemented
64#2762C2214yescomplemented
65#2759C2214yescomplemented
66#2757C2214yes—
67#2754C2214yescomplemented
68#2751C2214yes—
69#2746C2214yes—
70#2742C2214yescomplemented
71#2738C2214yescomplemented
72#2730C2214yes—
73#2729C2214yes—
74#2729C2214yescomplemented
75#2723C2214yes—
76#2718C2214yes—
77#2718C2214yescomplemented
78#2717C2214yescomplemented
79#2712C2214yes—
80#2701C2214yes—
81#2700C2214yes—
82#2698C2214yes—
83#2692C2214yes—
84#2687C2214yescomplemented
85#2674C2214yes—
86#2674C2214yescomplemented
87#2672C2214yes—
88#2666C2214yescomplemented
89#2663C2214yes—
90#2660C2212yescomplemented
91#2660C2212yescomplemented
92#2654C2214yescomplemented
93#2653C2214yescomplemented
94#2652C2214yes—
95#2650C2214yescomplemented
96#2647C2214yescomplemented
97#2645C2212yescomplemented
98#2644C2212yescomplemented
99#2638C2214yes—
100#2637C2214yescomplemented
101#2632C2214yescomplemented
102#2630C2214yes—
103#2628C2214yescomplemented
104#2623C2214yes—
105#2591C2214yes—
106#2582C2212yescomplemented
107#2582C2212yescomplemented
108#2581C2212yescomplemented
109#2581C2212yescomplemented
110#2580C2212yescomplemented
111#2580C2212yescomplemented
112#2567C2212yescomplemented
113#2567C2212yescomplemented
114#2546C2212yescomplemented
115#2546C2212yescomplemented
116#2538C2212yes—
117#2538C2212yescomplemented
118#2538C2212yescomplemented
119#2537C2212yes—
120#2536C2212yes—
121#2535C2212yes—
122#2532C2214yescomplemented
123#2527C2214yes—
124#2510C2214yes—
125#2504C2212yes—
126#2503C2212yes—
127#2502C2212yes—
128#2502C2214yes—
129#2502C2212yescomplemented
130#2501C2212yes—
131#2501C2212yescomplemented
132#2500C2212yescomplemented
133#2499C2212yescomplemented
134#2497C2212yes—
135#2497C2212yes—
136#2497C2212yescomplemented
137#2496C2212yes—
138#2496C2212yes—
139#2496C2212yescomplemented
140#2495C2212yes—
141#2495C2212yes—
142#2495C2212yescomplemented
143#2494C2212yes—
144#2494C2212yes—
145#2494C2212yescomplemented
146#2493C2214yes—
147#2492C2211yescharacteristic
148#2492C2211yescharacteristic
149#2492C2211yescharacteristic
150#2492C2211yescharacteristic
151#2492C2212yescomplemented
152#2492C2212yescomplemented
153#2492C2212yescomplemented
154#2492C2212yescomplemented
155#2491C2211yescharacteristic
156#2491C2211yescharacteristic
157#2491C2211yescharacteristic
158#2491C2211yescharacteristic
159#2491C2212yescomplemented
160#2491C2212yescomplemented
161#2491C2212yescomplemented
162#2491C2212yescomplemented
163#2490C2211yescharacteristic
164#2490C2211yescharacteristic
165#2490C2211yescharacteristic
166#2490C2211yescharacteristic
167#2489C2211yescharacteristic
168#2489C2211yescharacteristic
169#2489C2211yescharacteristic
170#2489C2211yescharacteristic
171#2488C2212yes—
172#2488C2212yes—
173#2488C2212yes—
174#2488C2212yes—
175#2487C2212yes—
176#2487C2212yes—
177#2486C2212yes—
178#2486C2212yes—
179#2481C2214yes—
180#2480C2214yes—
181#2477C2214yes—
182#2474C2214yescomplemented
183#2472C2212yes—
184#2472C2212yes—
185#2472C2212yes—
186#2472C2212yes—
187#2468C2214yes—
188#2465C2214yes—
189#2461C2214yes—
190#2458C2214yes—
191#2452C2214yes—
192#2451C2214yescomplemented
193#2450C2214yes—
194#2450C2214yes—
195#2449C2214yes—
196#2449C2214yes—
197#2443C2214yes—
198#2443C2214yes—
199#2442C2212yescomplemented
200#2442C2212yescomplemented
201#2441C2212yescomplemented
202#2441C2212yescomplemented
203#2440C2212yes—
204#2440C2212yes—
205#2440C2212yes—
206#2440C2212yes—
207#2440C2212yes—
208#2440C2212yes—
209#2440C2212yes—
210#2440C2212yes—
211#2440C2212yescomplemented
212#2440C2212yescomplemented
213#2439C2212yescomplemented
214#2439C2212yescomplemented
215#2436C2214yes—
216#2434C2214yes—
217#2425C2214yes—
218#2424C2214yes—
219#2423C2212yescomplemented
220#2423C2212yescomplemented
221#2423C2214yescomplemented
222#2422C2214yes—
223#2422C2212yescomplemented
224#2422C2212yescomplemented
225#2417C2212yes—
226#2416C2212yes—
227#2415C2212yes—
228#2414C2212yes—
229#2398C2212yes—
230#2398C2212yes—
231#2398C2212yes—
232#2398C2212yes—
233C2×#398C2212yes—
234C2×#395C2212yes—
235#2361C2212yes—
236#2361C2212yes—
237#2360C2212yes—
238#2360C2214yes—
239#2360C2214yes—
240#2360C2212yes—
241#2355C2212yescomplemented
242#2355C2212yescomplemented
243#2353C2214yes—
244#2352C2212yes—
245#2352C2212yes—
246#2352C2214yes—
247Q8×C4⋊C4C2212yescomplemented
248Q8×C4⋊C4C2212yescomplemented
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2212yes—
251#2347C2212yescomplemented
252#2346C2212yescomplemented
253#2345C2212yescomplemented
254#2344C2212yescomplemented
255#2337C2214yes—
256#2332C2214yes—
257#2330C2212yescomplemented
258#2330C2212yescomplemented
259#2326C2214yes—
260#2322C2214yes—
261#2320C2212yescomplemented
262#2319C2212yescomplemented
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2316C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274C4×C4⋊Q8C2212yescomplemented
275C4×C4⋊Q8C2212yescomplemented
276C4×#124C2212yes—
277C4×#124C2212yes—
278C4×#124C2212yes—
279C4×#124C2212yes—
280C4×#120C2214yes—
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2295C2212yescomplemented
286#2293C2212yescomplemented
287C2×#389C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#385C2212yes—
290C2×#384C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2312yes—
302C24×C4C2311yescharacteristic
303C24×C4C2312yes—
304#542—416no—
305#537—44no—
306#533—28no—
307#533—44no—
308C2×C4⋊Q8—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2314yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331#525—28no—
332#525—44no—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8—48no—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2314yes—
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#120C2312yes—
365C2×#120C2312yes—
366#520—28no—
367#520—44no—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2314yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C2×#117C2314yes—
393C2×#117C2312yes—
394C2×#117C2311yescharacteristic
395C22×C4⋊C4—44no—
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C22⋊C4C2311yescharacteristic
413C22×C22⋊C4C2311yescharacteristic
414C22×C22⋊C4C2312yes—
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417#401C2314yes—
418#401C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2312yes—
436#400C2312yes—
437#400C2312yes—
438#400C2312yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2312yes—
477#397C2312yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2312yes—
511#394C2312yes—
512#394C2312yes—
513#394C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2312yes—
519#393C2314yes—
520#393C2312yes—
521#393C2312yes—
522#393C2314yes—
523#393C2312yes—
524#393C2312yes—
525#393C2312yes—
526#393C2312yes—
527#393C2312yes—
528#392C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2314yes—
537#391C2311yescharacteristic
538#391C2311yescharacteristic
539#391C2311yescharacteristic
540#391C2314yes—
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2314yes—
544#391C2314yes—
545#391C2314yes—
546#391C2314yes—
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2314yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2311yescharacteristic
562#390C2314yes—
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#384C2312yes—
706#384C2314yes—
707#384C2314yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2312yes—
715#384C2312yes—
716#384C2312yes—
717#383C2314yes—
718#383C2314yes—
719#383C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2314yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#381C2314yes—
732#381C2312yes—
733#381C2314yes—
734#381C2314yes—
735#381C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#379C2312yes—
762#379C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812#376C2314yes—
813#376C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2311yescharacteristic
819C43C2312yes—
820C43C2312yes—
821C25C2411yescharacteristic
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C22×Q8—44no—
829C22×Q8—44no—
830C22×Q8—82no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2414yes—
838C22×Q8C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C23×C4—24no—
849C23×C4—24no—
850C23×C4—24no—
851C23×C4—44no—
852C23×C4—44no—
853C23×C4—82no—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2411yescharacteristic
874C4⋊Q8—24no—
875C4⋊Q8—24no—
876C4⋊Q8—44no—
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880C4⋊Q8—42no—
881C4⋊Q8—42no—
882C4⋊Q8—48no—
883C4⋊Q8—84no—
884#126—48no—
885#126—48no—
886#125—24no—
887#125—24no—
888#125—42no—
889#125—42no—
890#124—28no—
891#124—28no—
892#124—28no—
893#124—28no—
894#124—48no—
895#124—84no—
896#123—28no—
897#123—48no—
898#123—44no—
899#123—48no—
900#123—84no—
901#123—84no—
902C22⋊Q8—24no—
903C22⋊Q8—24no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—216no—
907C22⋊Q8—48no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—48no—
911C22⋊Q8—48no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—42no—
915C22⋊Q8—42no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918#121—24no—
919#121—24no—
920#121—48no—
921#121—42no—
922#121—42no—
923#121—44no—
924#121—44no—
925#121—48no—
926#120—28no—
927#120—44no—
928C4×Q8—28no—
929C4×Q8—28no—
930C4×Q8—28no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×Q8—48no—
935C4×Q8—84no—
936C4×D4—216no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—48no—
944C4×D4—48no—
945C4×D4—84no—
946#117—24no—
947#117—24no—
948#117—24no—
949#117—24no—
950#117—24no—
951#117—28no—
952#117—48no—
953#117—44no—
954#117#4118yes—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—24no—
957C2×C4⋊C4—24no—
958C2×C4⋊C4—24no—
959C2×C4⋊C4—28no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4—44no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—82no—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C22⋊C4—24no—
1037C2×C22⋊C4—24no—
1038C2×C22⋊C4—44no—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C42—24no—
1100C2×C42—24no—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129#95C2414yes—
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24—22no—
1202C24—22no—
1203C24—22no—
1204C24—22no—
1205C24—22no—
1206C24—41no—
1207C24—41no—
1208C24C2512yes—
1209C24C2512yes—
1210C24C2511yescharacteristic
1211C24C2511yescharacteristic
1212C24C2511yescharacteristic
1213#41—416no—
1214#41—416no—
1215C2×Q8—22no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—28no—
1223C2×Q8—24no—
1224C2×Q8—24no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—44no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×Q8—44no—
1236C2×Q8—42no—
1237C2×Q8—44no—
1238C2×Q8—42no—
1239C2×Q8—816no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—28no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—28no—
1302C22×C4—42no—
1303C22×C4—41no—
1304C22×C4—42no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—416no—
1325C22×C4—816no—
1326C22×C4C2×#4114yes—
1327C22×C4H(5,𝔽2)14yes—
1328C22×C42−1+414yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2514yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2514yes—
1347C22×C4C2514yes—
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C4⋊C4—24no—
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—28no—
1380C4⋊C4—28no—
1381C4⋊C4—28no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4C2×#4114yes—
1423C4⋊C4C2×#4114yes—
1424C22⋊C4—24no—
1425C22⋊C4—22no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—22no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4C2×#4118yes—
1482C22⋊C4H(5,𝔽2)14yes—
1483C22⋊C42−1+414yes—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—28no—
1489C42—24no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—42no—
1503C42—42no—
1504C42—44no—
1505C42—44no—
1506C42—44no—
1507C42—44no—
1508C42—42no—
1509C42—44no—
1510C42—42no—
1511C42C2×#4118yes—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—28no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23C22×#4112yes—
1550C23C2×H(5,𝔽2)12yes—
1551C23C2×H(5,𝔽2)12yes—
1552C23C2×2−1+412yes—
1553C23C2×2−1+412yes—
1554C23C2611yescharacteristic
1555Q8—48no—
1556Q8—48no—
1557Q8—44no—
1558Q8—44no—
1559Q8—84no—
1560Q8—84no—
1561Q8—88no—
1562Q8—88no—
1563D4—48no—
1564D4—48no—
1565D4—48no—
1566D4—48no—
1567D4—44no—
1568D4—44no—
1569D4—84no—
1570D4—84no—
1571D4—164no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—48no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—48no—
1661C2×C4—48no—
1662C2×C4—88no—
1663C2×C4—84no—
1664C2×C4—88no—
1665C2×C4—84no—
1666C2×C4—84no—
1667C2×C4—88no—
1668C2×C4—164no—
1669C2×C4#542116yescomplemented
1670C2×C4C22×#4114yes—
1671C2×C4C22×#4114yes—
1672C2×C4C22×#4112yes—
1673C2×C4C22×#4112yes—
1674C2×C4C2×H(5,𝔽2)12yes—
1675C2×C4C2×H(5,𝔽2)12yes—
1676C2×C4C2×H(5,𝔽2)12yes—
1677C2×C4C2×H(5,𝔽2)12yes—
1678C2×C4C2×2−1+412yes—
1679C2×C4C2×2−1+412yes—
1680C2×C4C2×2−1+412yes—
1681C2×C4C2×2−1+412yes—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—416no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22C2×#54214yes—
1718C22C23×#4111yescharacteristic
1719C22C22×H(5,𝔽2)11yescharacteristic
1720C22C22×H(5,𝔽2)11yescharacteristic
1721C22C22×2−1+411yescharacteristic
1722C22C22×2−1+411yescharacteristic
1723C22H(7,𝔽2)11yescharacteristic
1724C222−1+611yescharacteristic
1725C4—22no—
1726C4—24no—
1727C4—22no—
1728C4—24no—
1729C4—22no—
1730C4—22no—
1731C4—41no—
1732C4—44no—
1733C4—42no—
1734C4—41no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—44no—
1741C4—41no—
1742C4—44no—
1743C4—44no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4—41no—
1748C4—42no—
1749C4—42no—
1750C4—41no—
1751C4—42no—
1752C4—42no—
1753C4C2×#54214yes—
1754C4C2×#54214yes—
1755C2—24no—
1756C2—42no—
1757C2—42no—
1758C2—82no—
1759C2—82no—
1760C2C22×#54211yescharacteristic
1761C2#6283311yescharacteristic
1762C2#6287711yescharacteristic
1763C2#6291211yescharacteristic
1764C2#6294211yescharacteristic
1765C2#6298511yescharacteristic
1766C2#6300011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35518C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42775C2semidirect
2. #42637C2semidirect
3. #42554C2semidirect
4. #42537C2semidirect
5. #42515C2semidirect
6. #42514C2semidirect
7. #42513C2semidirect
8. #42512C2semidirect
9. #40838C2semidirect
10. #40811C2semidirect
11. #40212C2semidirect
12. #40142C2semidirect
13. #40002C2semidirect
14. #40001C2semidirect
15. #39652C2semidirect
16. #39633C2semidirect
17. #39398C2semidirect
18. #39377C2semidirect
19. #38503C2semidirect
20. #37723C2semidirect
21. #35592C2semidirect
22. #35544C2semidirect
23. #35530C2semidirect
24. #35519C2semidirect
25. #35519C2semidirect
27. #35281C2semidirect
28. #35267C2semidirect
29. #35227C2semidirect
30. #34813C2semidirect
31. #34813C2semidirect
32. C2×#2440C2semidirect
33. #34253C2semidirect
34. #34214C2semidirect
35. #34200C2semidirect
47. #2868C22semidirect
48. #2863C22semidirect
49. #2862C22semidirect
50. #2860C22semidirect
52. #2839C22semidirect
53. #2838C22semidirect
54. #2838C22semidirect
55. #2837C22semidirect
56. #2799C22semidirect
58. #2790C22semidirect
59. #2774C22semidirect
60. #2770C22semidirect
61. #2766C22semidirect
63. #2763C22semidirect
64. #2762C22semidirect
65. #2759C22semidirect
67. #2754C22semidirect
70. #2742C22semidirect
71. #2738C22semidirect
74. #2729C22semidirect
77. #2718C22semidirect
78. #2717C22semidirect
84. #2687C22semidirect
86. #2674C22semidirect
88. #2666C22semidirect
90. #2660C22semidirect
91. #2660C22semidirect
92. #2654C22semidirect
93. #2653C22semidirect
95. #2650C22semidirect
96. #2647C22semidirect
97. #2645C22semidirect
98. #2644C22semidirect
100. #2637C22semidirect
101. #2632C22semidirect
103. #2628C22semidirect
106. #2582C22semidirect
107. #2582C22semidirect
108. #2581C22semidirect
109. #2581C22semidirect
110. #2580C22semidirect
111. #2580C22semidirect
112. #2567C22semidirect
113. #2567C22semidirect
114. #2546C22semidirect
115. #2546C22semidirect
117. #2538C22semidirect
118. #2538C22semidirect
122. #2532C22semidirect
129. #2502C22semidirect
131. #2501C22semidirect
132. #2500C22semidirect
133. #2499C22semidirect
136. #2497C22semidirect
139. #2496C22semidirect
142. #2495C22semidirect
145. #2494C22semidirect
151. #2492C22semidirect
152. #2492C22semidirect
153. #2492C22semidirect
154. #2492C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
182. #2474C22semidirect
192. #2451C22semidirect
199. #2442C22semidirect
200. #2442C22semidirect
201. #2441C22semidirect
202. #2441C22semidirect
211. #2440C22semidirect
212. #2440C22semidirect
213. #2439C22semidirect
214. #2439C22semidirect
219. #2423C22semidirect
220. #2423C22semidirect
221. #2423C22semidirect
223. #2422C22semidirect
224. #2422C22semidirect
241. #2355C22semidirect
242. #2355C22semidirect
247. Q8×C4⋊C4C22semidirect
248. Q8×C4⋊C4C22semidirect
251. #2347C22semidirect
252. #2346C22semidirect
253. #2345C22semidirect
254. #2344C22semidirect
257. #2330C22semidirect
258. #2330C22semidirect
261. #2320C22semidirect
262. #2319C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
285. #2295C22semidirect
286. #2293C22semidirect
1669. C2×C4#542semidirect

Maximal subgroups

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

subgroupindex
#427752
#426372
#425542
#425372
#425152
#425142
#425132
#425122
#408382
#408112
#402122
#401422
#400022
#400012
#396522
#396332
#393982
#393772
#385032
#377232
#355922
#355442
#355302
#355192
#355182
#352812
#352672
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