Finite Group Databasebeta

← #7654444

Subgroups — #7654444

Order 512.

5289 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42735C212yesmaximal, complemented
2#42730C212yesmaximal, complemented
3#41834C214yesmaximal, complemented
4#41205C214yesmaximal, complemented
5#40049C212yesmaximal, complemented
6#39468C211yesmaximal, characteristic, complemented
7#39438C212yesmaximal, complemented
8#39425C212yesmaximal, complemented
9#39370C211yesmaximal, characteristic, complemented
10#39342C211yesmaximal, characteristic
11#39090C214yesmaximal, complemented
12#39024C212yesmaximal, complemented
13#38957C211yesmaximal, characteristic, complemented
14#38759C214yesmaximal, complemented
15#38202C212yesmaximal, complemented
16#37972C212yesmaximal, complemented
17#37627C211yesmaximal, characteristic, complemented
18#37512C212yesmaximal, complemented
19#36597C212yesmaximal, complemented
20#36473C211yesmaximal, characteristic, complemented
21#36469C211yesmaximal, characteristic, complemented
22#36413C212yesmaximal, complemented
23#36302C211yesmaximal, characteristic, complemented
24#36174C211yesmaximal, characteristic, complemented
25#36075C212yesmaximal, complemented
26#35808C212yesmaximal, complemented
27#35288C211yesmaximal, characteristic, complemented
28#35264C212yesmaximal, complemented
29#35198C211yesmaximal, characteristic, complemented
30#35025C212yesmaximal, complemented
31#34974C211yesmaximal, characteristic, complemented
32#34800C212yesmaximal, complemented
33#34310C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#556C2211yescharacteristic
38C2×#556C2212yescomplemented
39C2×D42C2211yescharacteristic
40C2×#544C2212yescomplemented
41C2×#542C2212yescomplemented
42C2×#535C2212yes—
43C2×#532C2211yescharacteristic
44C2×#518C2212yes—
45#2861C2212yescomplemented
46#2861C2214yescomplemented
47#2860C2212yes—
48#2860C2212yescomplemented
49#2859C2211yescharacteristic, complemented
50#2858C2211yescharacteristic
51#2858C2214yescomplemented
52#2858C2212yescomplemented
53#2857C2211yescharacteristic, complemented
54#2856C2211yescharacteristic
55#2854C2212yescomplemented
56#2850C2212yes—
57#2837C2214yescomplemented
58#2831C2214yescomplemented
59#2829C2214yescomplemented
60#2764C2214yescomplemented
61#2757C2214yescomplemented
62#2756C2214yescomplemented
63#2756C2214yescomplemented
64#2749C2214yescomplemented
65#2749C2214yescomplemented
66#2735C2214yescomplemented
67#2730C2214yescomplemented
68#2729C2214yescomplemented
69#2729C2214yescomplemented
70#2715C2214yescomplemented
71#2709C2214yescomplemented
72#2707C2214yescomplemented
73#2704C2214yescomplemented
74#2702C2214yescomplemented
75#2700C2214yescomplemented
76#2691C2214yescomplemented
77#2685C2214yes—
78#2685C2214yes—
79#2685C2214yescomplemented
80#2685C2214yescomplemented
81#2684C2214yescomplemented
82#2670C2214yes—
83#2669C2214yes—
84#2662C2214yescomplemented
85#2651C2214yescomplemented
86#2651C2214yescomplemented
87#2648C2214yescomplemented
88#2648C2214yescomplemented
89#2648C2214yescomplemented
90#2644C2212yescomplemented
91#2641C2214yescomplemented
92#2640C2214yescomplemented
93#2636C2214yescomplemented
94#2630C2214yescomplemented
95#2629C2212yescomplemented
96#2629C2212yescomplemented
97#2625C2212yescomplemented
98#2624C2212yes—
99#2624C2212yescomplemented
100#2620C2212yes—
101#2620C2212yescomplemented
102#2616C2212yescomplemented
103#2615C2212yes—
104#2604C2214yescomplemented
105#2603C2214yescomplemented
106#2602C2214yescomplemented
107#2593C2214yescomplemented
108#2592C2212yescomplemented
109#2574C2214yescomplemented
110#2557C2214yescomplemented
111#2554C2214yescomplemented
112#2554C2214yescomplemented
113#2554C2214yescomplemented
114#2554C2214yescomplemented
115#2552C2211yescharacteristic, complemented
116#2551C2211yescharacteristic, complemented
117#2548C2211yescharacteristic
118#2547C2211yescharacteristic, complemented
119#2546C2212yescomplemented
120#2545C2214yescomplemented
121#2544C2212yes—
122#2544C2214yescomplemented
123#2544C2212yescomplemented
124#2542C2211yescharacteristic
125#2541C2211yescharacteristic
126#2541C2212yes—
127#2538C2212yes—
128#2538C2211yescharacteristic, complemented
129#2537C2211yescharacteristic
130#2536C2214yescomplemented
131#2534C2214yescomplemented
132#2532C2214yescomplemented
133#2532C2212yescomplemented
134#2532C2214yescomplemented
135#2531C2214yescomplemented
136#2529C2212yescomplemented
137#2526C2214yescomplemented
138#2526C2214yescomplemented
139#2521C2214yescomplemented
140#2521C2214yescomplemented
141#2519C2214yescomplemented
142#2518C2214yescomplemented
143#2518C2214yescomplemented
144#2513C2212yescomplemented
145#2513C2212yescomplemented
146#2512C2211yescharacteristic
147#2508C2211yescharacteristic, complemented
148#2506C2212yescomplemented
149#2500C2212yes—
150#2500C2212yescomplemented
151#2497C2212yescomplemented
152#2496C2212yescomplemented
153#2495C2212yescomplemented
154#2495C2211yescharacteristic, complemented
155#2492C2212yescomplemented
156#2491C2212yes—
157#2491C2212yes—
158#2491C2211yescharacteristic
159#2491C2212yescomplemented
160#2491C2212yescomplemented
161#2490C2212yes—
162#2490C2212yes—
163#2490C2212yescomplemented
164#2490C2212yescomplemented
165#2489C2212yescomplemented
166#2485C2212yescomplemented
167#2480C2214yescomplemented
168#2480C2214yescomplemented
169#2479C2214yescomplemented
170#2479C2212yescomplemented
171#2476C2214yescomplemented
172#2474C2212yescomplemented
173#2472C2214yescomplemented
174#2472C2214yescomplemented
175#2472C2214yescomplemented
176#2472C2214yescomplemented
177#2472C2214yescomplemented
178#2461C2214yescomplemented
179#2461C2214yescomplemented
180#2459C2214yescomplemented
181#2457C2214yescomplemented
182#2454C2212yescomplemented
183#2452C2212yes—
184#2452C2212yescomplemented
185#2451C2211yescharacteristic, complemented
186#2451C2212yescomplemented
187#2448C2211yescharacteristic
188#2448C2212yescomplemented
189#2447C2212yescomplemented
190#2445C2212yescomplemented
191#2442C2212yescomplemented
192#2439C2212yescomplemented
193#2435C2212yes—
194#2435C2212yes—
195#2435C2212yes—
196#2433C2212yes—
197#2427C2212yes—
198#2427C2212yescomplemented
199#2427C2212yescomplemented
200#2426C2211yescharacteristic
201#2426C2212yes—
202#2426C2212yes—
203#2426C2212yescomplemented
204#2426C2212yescomplemented
205#2426C2212yescomplemented
206#2426C2212yescomplemented
207#2423C2212yescomplemented
208#2423C2211yescharacteristic, complemented
209#2422C2212yescomplemented
210#2420C2212yescomplemented
211#2420C2212yescomplemented
212#2418C2214yescomplemented
213#2417C2212yescomplemented
214#2415C2212yescomplemented
215#2414C2212yes—
216#2411C2214yescomplemented
217#2408C2212yes—
218#2408C2212yes—
219#2398C2214yescomplemented
220#2396C2212yescomplemented
221#2395C2212yescomplemented
222#2392C2214yescomplemented
223#2373C2214yescomplemented
224#2372C2212yescomplemented
225#2372C2212yescomplemented
226#2369C2211yescharacteristic, complemented
227#2369C2211yescharacteristic, complemented
228#2367C2212yes—
229#2367C2212yescomplemented
230#2366C2211yescharacteristic
231#2366C2211yescharacteristic
232#2366C2211yescharacteristic
233#2365C2211yescharacteristic, complemented
234#2363C2212yes—
235#2363C2211yescharacteristic
236#2363C2211yescharacteristic
237#2363C2212yescomplemented
238#2363C2212yescomplemented
239#2363C2211yescharacteristic, complemented
240#2363C2211yescharacteristic, complemented
241#2363C2212yescomplemented
242#2363C2212yescomplemented
243#2362C2212yescomplemented
244#2362C2212yescomplemented
245#2361C2212yes—
246#2358C2214yes—
247#2356C2212yescomplemented
248#2355C2211yescharacteristic, complemented
249#2354C2211yescharacteristic
250#2354C2211yescharacteristic
251#2354C2212yescomplemented
252D4×C4⋊C4C2211yescharacteristic
253#2347C2212yescomplemented
254#2346C2212yescomplemented
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yes—
257#2324C2212yes—
258#2324C2212yescomplemented
259#2324C2212yescomplemented
260#2321C2214yes—
261#2321C2214yescomplemented
262#2319C2212yescomplemented
263#2312C2214yescomplemented
264#2311C2212yescomplemented
265#2309C2212yes—
266C4×C4⋊Q8C2212yescomplemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×#127C2211yescharacteristic
270C4×#126C2212yescomplemented
271C4×#126C2214yescomplemented
272C4×#124C2211yescharacteristic
273C4×#124C2212yes—
274C4×#124C2212yescomplemented
275C4×#124C2214yescomplemented
276C4×C22⋊Q8C2211yescharacteristic, complemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2212yescomplemented
281#2298C2214yescomplemented
282#2297C2212yescomplemented
283#2297C2212yescomplemented
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2212yescomplemented
287#2293C2212yescomplemented
288#2293C2211yescharacteristic, complemented
289C2×#390C2212yes—
290#2283C2212yescomplemented
291C42×Q8C2212yescomplemented
292C42×Q8C2211yescharacteristic, complemented
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic, complemented
295C42×D4C2212yescomplemented
296C4×#117C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C4×#117C2212yescomplemented
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302#559—48no—
303#556—28no—
304#556—48no—
305D42—28no—
306#544—48no—
307#542—48no—
308#535—48no—
309#532—28no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2314yes—
319C2×#127C2312yes—
320C2×#126C2314yes—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#124C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370#518—48no—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2314yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2314yes—
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C22×C4⋊C4C2312yes—
411C22×C22⋊C4C2314yes—
412C22×C22⋊C4C2314yes—
413C22×C22⋊C4C2314yes—
414C22×C42C2311yescharacteristic
415C22×C42C2312yes—
416C22×C42C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#399C2312yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2312yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2312yes—
454#397C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2312yes—
468#396C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2312yes—
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#394C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2312yes—
505#393C2314yes—
506#393C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2314yes—
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2311yescharacteristic
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#388C2312yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2312yes—
660#388C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2312yes—
713#383C2314yes—
714#383C2312yes—
715#383C2314yes—
716#382C2314yes—
717#382C2312yes—
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#381C2314yes—
722#381C2314yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#379C2314yes—
740#379C2314yes—
741#379C2314yes—
742#379C2314yes—
743#379C2314yes—
744#379C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2311yescharacteristic
810#376C2314yes—
811#376C2312yes—
812#376C2314yes—
813#376C2311yescharacteristic
814C43C2312yes—
815C43C2314yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2312yes—
819C25C2414yes—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×D4—28no—
829C22×D4—28no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C4⋊Q8—24no—
865C4⋊Q8—28no—
866C4⋊Q8—24no—
867C4⋊Q8—24no—
868C4⋊Q8—44no—
869C4⋊Q8—48no—
870#127—24no—
871#127—24no—
872#127—48no—
873#127—44no—
874#126—216no—
875#126—48no—
876#126—48no—
877#126—48no—
878#126—44no—
879#125—48no—
880#125—44no—
881#125—44no—
882#124—28no—
883#124—28no—
884#124—44no—
885#124—48no—
886#124—48no—
887#124—48no—
888#124—48no—
889#124—42no—
890#124—44no—
891#124—44no—
892#124—48no—
893#124—44no—
894#124—44no—
895#123—48no—
896#123—48no—
897#123—48no—
898C22⋊Q8—28no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—44no—
903C22⋊Q8—42no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907#121—24no—
908#121—28no—
909#121—24no—
910#121—28no—
911#121—24no—
912#121—28no—
913#121—28no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#120—216no—
921#120—48no—
922#120—48no—
923#120—48no—
924C4×Q8—28no—
925C4×Q8—24no—
926C4×Q8—28no—
927C4×Q8—24no—
928C4×Q8—48no—
929C4×Q8—44no—
930C4×Q8—42no—
931C4×Q8—44no—
932C4×D4—28no—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—44no—
939C4×D4—48no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—48no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—44no—
951C4×D4#4118yes—
952#117—28no—
953#117—28no—
954#117—28no—
955#117—24no—
956#117—44no—
957#117—44no—
958#117—44no—
959#117—48no—
960#117—42no—
961#117—42no—
962#117—42no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C22⋊C4—48no—
1022C2×C22⋊C4—48no—
1023C2×C22⋊C4—48no—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C42—24no—
1098C2×C42—44no—
1099C2×C42—44no—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2411yescharacteristic
1147#95C2414yes—
1148#95C2411yescharacteristic
1149#95C2414yes—
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2414yes—
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197C24—28no—
1198C24—44no—
1199C24—44no—
1200C24—44no—
1201C24—44no—
1202C24—44no—
1203C24—44no—
1204C24C2512yes—
1205C24C2514yes—
1206C24C2512yes—
1207C24C2511yescharacteristic
1208C24C2512yes—
1209#41—816no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—28no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—42no—
1220C2×Q8—44no—
1221C2×Q8—42no—
1222C2×Q8—44no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—28no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—22no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—432no—
1276C2×D4—816no—
1277C2×D4C2×#4114yes—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—28no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—41no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4C2×#4118yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2514yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2514yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—28no—
1362C4⋊C4—24no—
1363C4⋊C4—28no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—44no—
1374C4⋊C4—41no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4C2×#4114yes—
1402C4⋊C4H(5,𝔽2)14yes—
1403C4⋊C4H(5,𝔽2)14yes—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—22no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—42no—
1435C22⋊C4—41no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4C2×#4118yes—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—28no—
1481C42—24no—
1482C42—28no—
1483C42—24no—
1484C42—28no—
1485C42—22no—
1486C42—22no—
1487C42—24no—
1488C42—22no—
1489C42—24no—
1490C42—22no—
1491C42—28no—
1492C42—24no—
1493C42—24no—
1494C42—24no—
1495C42—22no—
1496C42—22no—
1497C42—24no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—24no—
1502C42—42no—
1503C42—42no—
1504C42—42no—
1505C42—42no—
1506C42—44no—
1507C42—41no—
1508C42—41no—
1509C42—41no—
1510C42—42no—
1511C42—42no—
1512C42—42no—
1513C42—44no—
1514C42—42no—
1515C42C2×#4114yes—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—24no—
1525C23—21no—
1526C23—21no—
1527C23—22no—
1528C23—22no—
1529C23—24no—
1530C23—24no—
1531C23—22no—
1532C23—22no—
1533C23—21no—
1534C23—21no—
1535C23—22no—
1536C23—22no—
1537C23—24no—
1538C23—22no—
1539C23—24no—
1540C23—22no—
1541C23—24no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—22no—
1546C23—24no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—416no—
1551C23—88no—
1552C23—88no—
1553C23—164no—
1554C23—164no—
1555C23—164no—
1556C23—164no—
1557C23C22×#4114yes—
1558C23C2611yescharacteristic
1559Q8—48no—
1560Q8—44no—
1561Q8—88no—
1562Q8—84no—
1563Q8—84no—
1564D4—28no—
1565D4—48no—
1566D4—416no—
1567D4—44no—
1568D4—48no—
1569D4—48no—
1570D4—44no—
1571D4—88no—
1572D4—84no—
1573D4—84no—
1574D4—88no—
1575D4—84no—
1576D4—84no—
1577D4—84no—
1578D4—164no—
1579D4—164no—
1580D4—164no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—216no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—48no—
1663C2×C4—48no—
1664C2×C4—44no—
1665C2×C4—84no—
1666C2×C4—84no—
1667C2×C4—88no—
1668C2×C4—84no—
1669C2×C4—84no—
1670C2×C4—164no—
1671C2×C4—164no—
1672C2×C4C22×#4114yes—
1673C2×C4C22×#4112yes—
1674C2×C4C22×#4112yes—
1675C2×C4C22×#4112yes—
1676C2×C4C2×H(5,𝔽2)14yes—
1677C2×C4C2×H(5,𝔽2)14yes—
1678C2×C4C2×H(5,𝔽2)12yes—
1679C2×C4C2×H(5,𝔽2)12yes—
1680C2×C4#58512yes—
1681C2×C4#58512yes—
1682C2×C4#58512yes—
1683C2×C4#58512yes—
1684C22—24no—
1685C22—24no—
1686C22—24no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—44no—
1692C22—41no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—44no—
1697C22—41no—
1698C22—42no—
1699C22—42no—
1700C22—41no—
1701C22—44no—
1702C22—42no—
1703C22—41no—
1704C22—42no—
1705C22—42no—
1706C22—44no—
1707C22—41no—
1708C22—42no—
1709C22—42no—
1710C22—44no—
1711C22—41no—
1712C22—42no—
1713C22—44no—
1714C22—42no—
1715C22—41no—
1716C22—42no—
1717C22—44no—
1718C22—42no—
1719C22—1616no—
1720C22C23×#4111yescharacteristic
1721C22C22×H(5,𝔽2)11yescharacteristic
1722C22C22×H(5,𝔽2)11yescharacteristic
1723C22C2×#58511yescharacteristic
1724C22C2×#58511yescharacteristic
1725C22C2×#58511yescharacteristic
1726C22C2×#58511yescharacteristic
1727C4—24no—
1728C4—24no—
1729C4—22no—
1730C4—24no—
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—42no—
1735C4—44no—
1736C4—41no—
1737C4—42no—
1738C4—41no—
1739C4—42no—
1740C4—41no—
1741C4—42no—
1742C4—41no—
1743C4—42no—
1744C4—41no—
1745C4—42no—
1746C4—42no—
1747C4—41no—
1748C4—42no—
1749C4—41no—
1750C4—44no—
1751C4—42no—
1752C4—41no—
1753C4—42no—
1754C4—44no—
1755C4#346014yes—
1756C4#351414yes—
1757C2—44no—
1758C2—82no—
1759C2—81no—
1760C2—84no—
1761C2—82no—
1762C2C2×#346011yescharacteristic
1763C2C2×#351411yescharacteristic
1764C2#6281011yescharacteristic
1765C2#6301411yescharacteristic
1766C2#6302411yescharacteristic
1767C2#6302911yescharacteristic
1768C2#6303511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39342C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42735C2semidirect
2. #42730C2semidirect
3. #41834C2semidirect
4. #41205C2semidirect
5. #40049C2semidirect
6. #39468C2semidirect
7. #39438C2semidirect
8. #39425C2semidirect
9. #39370C2semidirect
11. #39090C2semidirect
12. #39024C2semidirect
13. #38957C2semidirect
14. #38759C2semidirect
15. #38202C2semidirect
16. #37972C2semidirect
17. #37627C2semidirect
18. #37512C2semidirect
19. #36597C2semidirect
20. #36473C2semidirect
21. #36469C2semidirect
22. #36413C2semidirect
23. #36302C2semidirect
24. #36174C2semidirect
25. #36075C2semidirect
26. #35808C2semidirect
27. #35288C2semidirect
28. #35264C2semidirect
29. #35198C2semidirect
30. #35025C2semidirect
31. #34974C2semidirect
32. #34800C2semidirect
33. #34310C2semidirect
34. C4×#556C2semidirect
35. #34155C2semidirect
36. C2×#559C22semidirect
38. C2×#556C22semidirect
40. C2×#544C22semidirect
41. C2×#542C22semidirect
45. #2861C22semidirect
46. #2861C22semidirect
48. #2860C22semidirect
49. #2859C22semidirect
51. #2858C22semidirect
52. #2858C22semidirect
53. #2857C22semidirect
55. #2854C22semidirect
57. #2837C22semidirect
58. #2831C22semidirect
59. #2829C22semidirect
60. #2764C22semidirect
61. #2757C22semidirect
62. #2756C22semidirect
63. #2756C22semidirect
64. #2749C22semidirect
65. #2749C22semidirect
66. #2735C22semidirect
67. #2730C22semidirect
68. #2729C22semidirect
69. #2729C22semidirect
70. #2715C22semidirect
71. #2709C22semidirect
72. #2707C22semidirect
73. #2704C22semidirect
74. #2702C22semidirect
75. #2700C22semidirect
76. #2691C22semidirect
79. #2685C22semidirect
80. #2685C22semidirect
81. #2684C22semidirect
84. #2662C22semidirect
85. #2651C22semidirect
86. #2651C22semidirect
87. #2648C22semidirect
88. #2648C22semidirect
89. #2648C22semidirect
90. #2644C22semidirect
91. #2641C22semidirect
92. #2640C22semidirect
93. #2636C22semidirect
94. #2630C22semidirect
95. #2629C22semidirect
96. #2629C22semidirect
97. #2625C22semidirect
99. #2624C22semidirect
101. #2620C22semidirect
102. #2616C22semidirect
104. #2604C22semidirect
105. #2603C22semidirect
106. #2602C22semidirect
107. #2593C22semidirect
108. #2592C22semidirect
109. #2574C22semidirect
110. #2557C22semidirect
111. #2554C22semidirect
112. #2554C22semidirect
113. #2554C22semidirect
114. #2554C22semidirect
115. #2552C22semidirect
116. #2551C22semidirect
118. #2547C22semidirect
119. #2546C22semidirect
120. #2545C22semidirect
122. #2544C22semidirect
123. #2544C22semidirect
128. #2538C22semidirect
130. #2536C22semidirect
131. #2534C22semidirect
132. #2532C22semidirect
133. #2532C22semidirect
134. #2532C22semidirect
135. #2531C22semidirect
136. #2529C22semidirect
137. #2526C22semidirect
138. #2526C22semidirect
139. #2521C22semidirect
140. #2521C22semidirect
141. #2519C22semidirect
142. #2518C22semidirect
143. #2518C22semidirect
144. #2513C22semidirect
145. #2513C22semidirect
147. #2508C22semidirect
148. #2506C22semidirect
150. #2500C22semidirect
151. #2497C22semidirect
152. #2496C22semidirect
153. #2495C22semidirect
154. #2495C22semidirect
155. #2492C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
163. #2490C22semidirect
164. #2490C22semidirect
165. #2489C22semidirect
166. #2485C22semidirect
167. #2480C22semidirect
168. #2480C22semidirect
169. #2479C22semidirect
170. #2479C22semidirect
171. #2476C22semidirect
172. #2474C22semidirect
173. #2472C22semidirect
174. #2472C22semidirect
175. #2472C22semidirect
176. #2472C22semidirect
177. #2472C22semidirect
178. #2461C22semidirect
179. #2461C22semidirect
180. #2459C22semidirect
181. #2457C22semidirect
182. #2454C22semidirect
184. #2452C22semidirect
185. #2451C22semidirect
186. #2451C22semidirect
188. #2448C22semidirect
189. #2447C22semidirect
190. #2445C22semidirect
191. #2442C22semidirect
192. #2439C22semidirect
198. #2427C22semidirect
199. #2427C22semidirect
203. #2426C22semidirect
204. #2426C22semidirect
205. #2426C22semidirect
206. #2426C22semidirect
207. #2423C22semidirect
208. #2423C22semidirect
209. #2422C22semidirect
210. #2420C22semidirect
211. #2420C22semidirect
212. #2418C22semidirect
213. #2417C22semidirect
214. #2415C22semidirect
216. #2411C22semidirect
219. #2398C22semidirect
220. #2396C22semidirect
221. #2395C22semidirect
222. #2392C22semidirect
223. #2373C22semidirect
224. #2372C22semidirect
225. #2372C22semidirect
226. #2369C22semidirect
227. #2369C22semidirect
229. #2367C22semidirect
233. #2365C22semidirect
237. #2363C22semidirect
238. #2363C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2362C22semidirect
244. #2362C22semidirect
247. #2356C22semidirect
248. #2355C22semidirect
251. #2354C22semidirect
253. #2347C22semidirect
254. #2346C22semidirect
258. #2324C22semidirect
259. #2324C22semidirect
261. #2321C22semidirect
262. #2319C22semidirect
263. #2312C22semidirect
264. #2311C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
270. C4×#126C22semidirect
271. C4×#126C22semidirect
274. C4×#124C22semidirect
275. C4×#124C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
280. C4×#121C22semidirect
281. #2298C22semidirect
282. #2297C22semidirect
283. #2297C22semidirect
286. #2293C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
290. #2283C22semidirect
291. C42×Q8C22semidirect
292. C42×Q8C22semidirect
294. C42×D4C22semidirect
295. C42×D4C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#427352
#427302
#418342
#412052
#400492
#394682
#394382
#394252
#393702
#393422
#390902
#390242
#389572
#387592
#382022
#379722
#376272
#375122
#365972
#364732
#364692
#364132
#363022
#361742
#360752
#358082
#352882
#352642
#351982
#350252
#349742
#348002
#343102
C4×#5562
#341552