Finite Group Databasebeta

← #7658056

Subgroups — #7658056

Order 512.

4837 conjugacy classes of subgroups.

The subgroup lattice has 1691 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42769C212yesmaximal, complemented
2#42762C212yesmaximal, complemented
3#42634C212yesmaximal, complemented
4#42627C212yesmaximal, complemented
5#41896C214yesmaximal, complemented
6#41859C214yesmaximal, complemented
7#41808C214yesmaximal, complemented
8#41800C214yesmaximal, complemented
9#39079C212yesmaximal, complemented
10#39070C212yesmaximal, complemented
11#38964C211yesmaximal, characteristic, complemented
12#38957C211yesmaximal, characteristic, complemented
13#38923C211yesmaximal, characteristic, complemented
14#38910C211yesmaximal, characteristic
15#38213C212yesmaximal, complemented
16#38206C212yesmaximal, complemented
17#37629C211yesmaximal, characteristic, complemented
18#37628C211yesmaximal, characteristic, complemented
19#37511C212yesmaximal, complemented
20#37492C212yesmaximal, complemented
21#36473C211yesmaximal, characteristic, complemented
22#36460C211yesmaximal, characteristic, complemented
23#36312C211yesmaximal, characteristic, complemented
24#36271C211yesmaximal, characteristic, complemented
25#36075C212yesmaximal, complemented
26#36058C212yesmaximal, complemented
27#36048C212yesmaximal, complemented
28#36033C212yesmaximal, complemented
29#35288C211yesmaximal, characteristic, complemented
30#35266C212yesmaximal, complemented
31#34619C211yesmaximal, characteristic, complemented
32#34619C212yesmaximal, complemented
33#34324C211yesmaximal, characteristic, complemented
34#34310C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yescomplemented
38C2×#556C2212yescomplemented
39C2×D42C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#518C2212yes—
42#2860C2212yes—
43#2860C2212yes—
44#2860C2212yescomplemented
45#2860C2212yescomplemented
46#2859C2211yescharacteristic, complemented
47#2858C2211yescharacteristic
48#2857C2211yescharacteristic, complemented
49#2856C2211yescharacteristic
50#2836C2214yescomplemented
51#2830C2214yescomplemented
52#2830C2214yescomplemented
53#2829C2214yescomplemented
54#2827C2214yescomplemented
55#2824C2214yescomplemented
56#2797C2214yescomplemented
57#2790C2214yescomplemented
58#2779C2214yescomplemented
59#2779C2214yescomplemented
60#2768C2214yescomplemented
61#2763C2214yescomplemented
62#2761C2214yescomplemented
63#2753C2214yescomplemented
64#2751C2214yescomplemented
65#2740C2214yescomplemented
66#2736C2214yescomplemented
67#2736C2214yescomplemented
68#2735C2214yescomplemented
69#2723C2214yescomplemented
70#2722C2214yescomplemented
71#2720C2214yescomplemented
72#2702C2214yescomplemented
73#2698C2214yescomplemented
74#2695C2214yescomplemented
75#2685C2214yes—
76#2685C2214yes—
77#2685C2214yes—
78#2685C2214yescomplemented
79#2678C2214yes—
80#2662C2214yescomplemented
81#2654C2214yescomplemented
82#2654C2212yescomplemented
83#2654C2214yescomplemented
84#2653C2212yescomplemented
85#2653C2214yescomplemented
86#2651C2214yescomplemented
87#2651C2214yescomplemented
88#2650C2214yescomplemented
89#2650C2214yescomplemented
90#2650C2212yescomplemented
91#2649C2214yescomplemented
92#2649C2212yescomplemented
93#2647C2212yescomplemented
94#2647C2211yescharacteristic, complemented
95#2645C2211yescharacteristic, complemented
96#2644C2211yescharacteristic
97#2644C2212yes—
98#2644C2212yescomplemented
99#2644C2212yescomplemented
100#2644C2212yescomplemented
101#2640C2211yescharacteristic
102#2640C2212yescomplemented
103#2640C2212yescomplemented
104#2638C2214yescomplemented
105#2638C2214yescomplemented
106#2636C2214yescomplemented
107#2628C2212yescomplemented
108#2628C2211yescharacteristic, complemented
109#2626C2214yescomplemented
110#2625C2212yescomplemented
111#2625C2212yescomplemented
112#2625C2211yescharacteristic, complemented
113#2624C2211yescharacteristic
114#2624C2212yes—
115#2624C2212yescomplemented
116#2622C2214yescomplemented
117#2621C2212yescomplemented
118#2620C2212yes—
119#2620C2211yescharacteristic
120#2610C2214yescomplemented
121#2604C2214yescomplemented
122#2604C2214yescomplemented
123#2603C2214yescomplemented
124#2601C2214yescomplemented
125#2595C2214yescomplemented
126#2592C2212yescomplemented
127#2582C2211yescharacteristic, complemented
128#2580C2212yes—
129#2575C2214yescomplemented
130#2571C2211yescharacteristic, complemented
131#2567C2212yescomplemented
132#2561C2214yescomplemented
133#2560C2214yescomplemented
134#2560C2214yescomplemented
135#2560C2214yescomplemented
136#2559C2214yescomplemented
137#2551C2211yescharacteristic, complemented
138#2548C2211yescharacteristic
139#2548C2211yescharacteristic
140#2547C2212yes—
141#2546C2211yescharacteristic, complemented
142#2545C2212yescomplemented
143#2542C2211yescharacteristic
144#2540C2212yes—
145#2538C2211yescharacteristic
146#2536C2214yescomplemented
147#2529C2214yescomplemented
148#2529C2214yescomplemented
149#2529C2214yescomplemented
150#2526C2214yescomplemented
151#2526C2214yescomplemented
152#2521C2214yescomplemented
153#2519C2214yescomplemented
154#2513C2212yes—
155#2513C2214yescomplemented
156#2513C2214yescomplemented
157#2513C2212yescomplemented
158#2512C2212yescomplemented
159#2512C2214yescomplemented
160#2512C2214yescomplemented
161#2512C2214yescomplemented
162#2512C2212yescomplemented
163#2508C2212yescomplemented
164#2508C2212yescomplemented
165#2507C2212yescomplemented
166#2500C2212yes—
167#2500C2212yescomplemented
168#2496C2212yescomplemented
169#2496C2212yescomplemented
170#2492C2212yescomplemented
171#2491C2212yes—
172#2490C2212yes—
173#2490C2212yescomplemented
174#2485C2212yescomplemented
175#2482C2214yescomplemented
176#2480C2214yescomplemented
177#2480C2214yescomplemented
178#2480C2214yescomplemented
179#2480C2214yescomplemented
180#2480C2214yescomplemented
181#2480C2214yescomplemented
182#2472C2214yescomplemented
183#2472C2214yescomplemented
184#2468C2214yescomplemented
185#2468C2214yescomplemented
186#2454C2212yescomplemented
187#2453C2212yescomplemented
188#2452C2212yes—
189#2452C2212yescomplemented
190#2452C2212yescomplemented
191#2452C2212yescomplemented
192#2448C2212yes—
193#2448C2212yescomplemented
194#2447C2212yescomplemented
195#2447C2212yescomplemented
196#2447C2212yescomplemented
197#2440C2212yescomplemented
198#2439C2212yescomplemented
199#2435C2212yes—
200#2435C2212yes—
201#2435C2212yes—
202#2435C2212yes—
203#2429C2212yescomplemented
204#2429C2212yescomplemented
205#2427C2212yes—
206#2427C2212yescomplemented
207#2426C2212yes—
208#2426C2212yes—
209#2426C2212yescomplemented
210#2426C2212yescomplemented
211#2423C2212yescomplemented
212#2421C2212yescomplemented
213#2420C2212yescomplemented
214#2420C2212yescomplemented
215#2417C2212yescomplemented
216#2415C2212yescomplemented
217#2414C2212yes—
218#2408C2212yes—
219#2408C2212yes—
220#2401C2214yescomplemented
221#2401C2212yescomplemented
222#2398C2212yescomplemented
223#2398C2214yescomplemented
224#2396C2212yescomplemented
225#2396C2214yescomplemented
226#2395C2212yescomplemented
227#2395C2214yescomplemented
228#2374C2212yescomplemented
229#2374C2212yescomplemented
230#2373C2214yescomplemented
231#2373C2212yescomplemented
232#2373C2212yescomplemented
233#2370C2211yescharacteristic, complemented
234#2370C2211yescharacteristic, complemented
235#2367C2212yes—
236#2367C2211yescharacteristic
237#2367C2211yescharacteristic
238#2367C2212yescomplemented
239#2366C2211yescharacteristic
240#2365C2211yescharacteristic, complemented
241#2363C2212yes—
242#2363C2211yescharacteristic
243#2363C2211yescharacteristic
244#2363C2212yescomplemented
245#2362C2211yescharacteristic, complemented
246#2362C2212yescomplemented
247#2362C2211yescharacteristic, complemented
248#2362C2212yescomplemented
249#2362C2212yescomplemented
250#2361C2212yes—
251#2358C2214yes—
252#2357C2212yescomplemented
253#2355C2212yescomplemented
254#2354C2211yescharacteristic
255#2354C2211yescharacteristic
256Q8×C4⋊C4C2211yescharacteristic, complemented
257D4×C4⋊C4C2211yescharacteristic
258#2346C2212yescomplemented
259#2346C2212yescomplemented
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2212yes—
262#2334C2214yescomplemented
263#2326C2212yes—
264#2324C2212yes—
265#2324C2212yescomplemented
266#2321C2214yes—
267#2319C2212yescomplemented
268#2317C2212yescomplemented
269#2316C2212yescomplemented
270#2309C2212yes—
271#2309C2212yes—
272C4×C4⋊Q8C2211yescharacteristic, complemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2212yescomplemented
275C4×#127C2211yescharacteristic
276C4×#124C2211yescharacteristic
277C4×#124C2212yescomplemented
278C4×C22⋊Q8C2211yescharacteristic, complemented
279C4×C22⋊Q8C2212yescomplemented
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282#2298C2212yescomplemented
283#2296C2212yescomplemented
284#2295C2211yescharacteristic, complemented
285#2295C2212yescomplemented
286#2295C2211yescharacteristic, complemented
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2212yescomplemented
290#2293C2212yescomplemented
291C2×#390C2212yes—
292#2290C2212yescomplemented
293#2276C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C4×#117C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C23×D4C2312yes—
300C23×D4C2312yes—
301#556—28no—
302#556—48no—
303#556—48no—
304D42—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311#529—28no—
312C2×#126C2314yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#123C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350#518—48no—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2311yescharacteristic
383C2×#117C2314yes—
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2314yes—
389C22×C22⋊C4C2314yes—
390C22×C42C2311yescharacteristic
391C22×C42C2312yes—
392#401C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2312yes—
413#399C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#393C2312yes—
501#393C2312yes—
502#393C2314yes—
503#393C2312yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#392C2314yes—
511#392C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2312yes—
660#388C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2312yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2314yes—
707#385C2312yes—
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2314yes—
713#384C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2314yes—
718#382C2314yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2314yes—
736#379C2314yes—
737#379C2314yes—
738#379C2314yes—
739#379C2314yes—
740#379C2314yes—
741#379C2314yes—
742#379C2314yes—
743#379C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
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⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2311yescharacteristic
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2312yes—
810#376C2312yes—
811#376C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2312yes—
816C25C2414yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2414yes—
821C22×Q8C2412yes—
822C22×D4—28no—
823C22×D4—28no—
824C22×D4—44no—
825C22×D4—44no—
826C22×D4—44no—
827C22×D4—44no—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C4⋊Q8—24no—
849C4⋊Q8—44no—
850C4⋊Q8—42no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853#127—24no—
854#126—28no—
855#126—216no—
856#126—48no—
857#126—48no—
858#126—48no—
859#126—48no—
860#126—84no—
861#126—84no—
862#125—24no—
863#125—82no—
864#124—24no—
865#124—28no—
866#124—48no—
867#124—44no—
868#124—42no—
869#124—44no—
870#124—44no—
871#124—44no—
872#123—28no—
873C22⋊Q8—28no—
874C22⋊Q8—24no—
875C22⋊Q8—48no—
876C22⋊Q8—42no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—84no—
882C22⋊Q8—84no—
883#121—24no—
884#121—28no—
885#121—28no—
886#121—44no—
887#121—44no—
888#121—42no—
889#121—82no—
890#120—216no—
891#120—84no—
892C4×Q8—28no—
893C4×Q8—24no—
894C4×Q8—28no—
895C4×Q8—24no—
896C4×Q8—24no—
897C4×Q8—48no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—42no—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—48no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4—44no—
914C4×D4—82no—
915C4×D4#4118yes—
916#117—28no—
917#117—28no—
918#117—28no—
919#117—24no—
920#117—42no—
921#117—42no—
922#117—44no—
923#117—44no—
924#117—48no—
925#117—44no—
926#117—42no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4—48no—
994C2×C22⋊C4—48no—
995C2×C22⋊C4—84no—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C42—24no—
1063C2×C42—44no—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24—28no—
1171C24—44no—
1172C24—44no—
1173C24—44no—
1174C24—44no—
1175C24—44no—
1176C24—44no—
1177C24C2512yes—
1178C24C2514yes—
1179C24C2511yescharacteristic
1180C24C2512yes—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—42no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—42no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—432no—
1226C2×D4—816no—
1227C2×D4C2×#4114yes—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—28no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—41no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4C2×#4118yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4C2×#4114yes—
1353C4⋊C4H(5,𝔽2)14yes—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—41no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4C2×#4118yes—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—28no—
1425C42—24no—
1426C42—28no—
1427C42—24no—
1428C42—22no—
1429C42—24no—
1430C42—24no—
1431C42—28no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—24no—
1440C42—22no—
1441C42—22no—
1442C42—42no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—41no—
1447C42—41no—
1448C42—44no—
1449C42—42no—
1450C42—41no—
1451C42—44no—
1452C42—44no—
1453C42—42no—
1454C42—41no—
1455C42—42no—
1456C42—42no—
1457C42C2×#4114yes—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—24no—
1467C23—21no—
1468C23—22no—
1469C23—24no—
1470C23—21no—
1471C23—22no—
1472C23—24no—
1473C23—24no—
1474C23—21no—
1475C23—21no—
1476C23—24no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—24no—
1481C23—21no—
1482C23—22no—
1483C23—21no—
1484C23—24no—
1485C23—416no—
1486C23—88no—
1487C23—88no—
1488C23—164no—
1489C23—164no—
1490C23—164no—
1491C23—164no—
1492C23C22×#4114yes—
1493C23C2611yescharacteristic
1494Q8—44no—
1495Q8—48no—
1496Q8—44no—
1497Q8—84no—
1498Q8—88no—
1499D4—28no—
1500D4—416no—
1501D4—48no—
1502D4—48no—
1503D4—44no—
1504D4—84no—
1505D4—88no—
1506D4—84no—
1507D4—84no—
1508D4—164no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—216no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—44no—
1597C2×C4—82no—
1598C2×C4—84no—
1599C2×C4—88no—
1600C2×C4—84no—
1601C2×C4—164no—
1602C2×C4—164no—
1603C2×C4C22×#4114yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4C2×H(5,𝔽2)14yes—
1608C2×C4C2×H(5,𝔽2)12yes—
1609C2×C4#58512yes—
1610C2×C4#58512yes—
1611C2×C4#58512yes—
1612C22—24no—
1613C22—24no—
1614C22—24no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—41no—
1620C22—42no—
1621C22—44no—
1622C22—41no—
1623C22—44no—
1624C22—42no—
1625C22—44no—
1626C22—41no—
1627C22—42no—
1628C22—44no—
1629C22—41no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—44no—
1634C22—41no—
1635C22—44no—
1636C22—42no—
1637C22—41no—
1638C22—44no—
1639C22—42no—
1640C22—1616no—
1641C22C23×#4111yescharacteristic
1642C22C22×H(5,𝔽2)11yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22C2×#58511yescharacteristic
1646C22H(7,𝔽2)11yescharacteristic
1647C222−1+611yescharacteristic
1648C4—24no—
1649C4—22no—
1650C4—24no—
1651C4—41no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—42no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—41no—
1661C4—42no—
1662C4—41no—
1663C4—44no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—42no—
1668C4—42no—
1669C4—44no—
1670C4—41no—
1671C4—42no—
1672C4—41no—
1673C4—44no—
1674C4—41no—
1675C4—41no—
1676C4—42no—
1677C4#346014yes—
1678C4#352114yes—
1679C2—44no—
1680C2—81no—
1681C2—84no—
1682C2—82no—
1683C2C2×#346011yescharacteristic
1684C2C2×#352111yescharacteristic
1685C2#6285711yescharacteristic
1686C2#6292111yescharacteristic
1687C2#6292311yescharacteristic
1688C2#6296611yescharacteristic
1689C2#6296811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38910C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42769C2semidirect
2. #42762C2semidirect
3. #42634C2semidirect
4. #42627C2semidirect
5. #41896C2semidirect
6. #41859C2semidirect
7. #41808C2semidirect
8. #41800C2semidirect
9. #39079C2semidirect
10. #39070C2semidirect
11. #38964C2semidirect
12. #38957C2semidirect
13. #38923C2semidirect
15. #38213C2semidirect
16. #38206C2semidirect
17. #37629C2semidirect
18. #37628C2semidirect
19. #37511C2semidirect
20. #37492C2semidirect
21. #36473C2semidirect
22. #36460C2semidirect
23. #36312C2semidirect
24. #36271C2semidirect
25. #36075C2semidirect
26. #36058C2semidirect
27. #36048C2semidirect
28. #36033C2semidirect
29. #35288C2semidirect
30. #35266C2semidirect
31. #34619C2semidirect
32. #34619C2semidirect
33. #34324C2semidirect
34. #34310C2semidirect
35. #34151C2semidirect
37. C2×#556C22semidirect
38. C2×#556C22semidirect
44. #2860C22semidirect
45. #2860C22semidirect
46. #2859C22semidirect
48. #2857C22semidirect
50. #2836C22semidirect
51. #2830C22semidirect
52. #2830C22semidirect
53. #2829C22semidirect
54. #2827C22semidirect
55. #2824C22semidirect
56. #2797C22semidirect
57. #2790C22semidirect
58. #2779C22semidirect
59. #2779C22semidirect
60. #2768C22semidirect
61. #2763C22semidirect
62. #2761C22semidirect
63. #2753C22semidirect
64. #2751C22semidirect
65. #2740C22semidirect
66. #2736C22semidirect
67. #2736C22semidirect
68. #2735C22semidirect
69. #2723C22semidirect
70. #2722C22semidirect
71. #2720C22semidirect
72. #2702C22semidirect
73. #2698C22semidirect
74. #2695C22semidirect
78. #2685C22semidirect
80. #2662C22semidirect
81. #2654C22semidirect
82. #2654C22semidirect
83. #2654C22semidirect
84. #2653C22semidirect
85. #2653C22semidirect
86. #2651C22semidirect
87. #2651C22semidirect
88. #2650C22semidirect
89. #2650C22semidirect
90. #2650C22semidirect
91. #2649C22semidirect
92. #2649C22semidirect
93. #2647C22semidirect
94. #2647C22semidirect
95. #2645C22semidirect
98. #2644C22semidirect
99. #2644C22semidirect
100. #2644C22semidirect
102. #2640C22semidirect
103. #2640C22semidirect
104. #2638C22semidirect
105. #2638C22semidirect
106. #2636C22semidirect
107. #2628C22semidirect
108. #2628C22semidirect
109. #2626C22semidirect
110. #2625C22semidirect
111. #2625C22semidirect
112. #2625C22semidirect
115. #2624C22semidirect
116. #2622C22semidirect
117. #2621C22semidirect
120. #2610C22semidirect
121. #2604C22semidirect
122. #2604C22semidirect
123. #2603C22semidirect
124. #2601C22semidirect
125. #2595C22semidirect
126. #2592C22semidirect
127. #2582C22semidirect
129. #2575C22semidirect
130. #2571C22semidirect
131. #2567C22semidirect
132. #2561C22semidirect
133. #2560C22semidirect
134. #2560C22semidirect
135. #2560C22semidirect
136. #2559C22semidirect
137. #2551C22semidirect
141. #2546C22semidirect
142. #2545C22semidirect
146. #2536C22semidirect
147. #2529C22semidirect
148. #2529C22semidirect
149. #2529C22semidirect
150. #2526C22semidirect
151. #2526C22semidirect
152. #2521C22semidirect
153. #2519C22semidirect
155. #2513C22semidirect
156. #2513C22semidirect
157. #2513C22semidirect
158. #2512C22semidirect
159. #2512C22semidirect
160. #2512C22semidirect
161. #2512C22semidirect
162. #2512C22semidirect
163. #2508C22semidirect
164. #2508C22semidirect
165. #2507C22semidirect
167. #2500C22semidirect
168. #2496C22semidirect
169. #2496C22semidirect
170. #2492C22semidirect
173. #2490C22semidirect
174. #2485C22semidirect
175. #2482C22semidirect
176. #2480C22semidirect
177. #2480C22semidirect
178. #2480C22semidirect
179. #2480C22semidirect
180. #2480C22semidirect
181. #2480C22semidirect
182. #2472C22semidirect
183. #2472C22semidirect
184. #2468C22semidirect
185. #2468C22semidirect
186. #2454C22semidirect
187. #2453C22semidirect
189. #2452C22semidirect
190. #2452C22semidirect
191. #2452C22semidirect
193. #2448C22semidirect
194. #2447C22semidirect
195. #2447C22semidirect
196. #2447C22semidirect
197. #2440C22semidirect
198. #2439C22semidirect
203. #2429C22semidirect
204. #2429C22semidirect
206. #2427C22semidirect
209. #2426C22semidirect
210. #2426C22semidirect
211. #2423C22semidirect
212. #2421C22semidirect
213. #2420C22semidirect
214. #2420C22semidirect
215. #2417C22semidirect
216. #2415C22semidirect
220. #2401C22semidirect
221. #2401C22semidirect
222. #2398C22semidirect
223. #2398C22semidirect
224. #2396C22semidirect
225. #2396C22semidirect
226. #2395C22semidirect
227. #2395C22semidirect
228. #2374C22semidirect
229. #2374C22semidirect
230. #2373C22semidirect
231. #2373C22semidirect
232. #2373C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
238. #2367C22semidirect
240. #2365C22semidirect
244. #2363C22semidirect
245. #2362C22semidirect
246. #2362C22semidirect
247. #2362C22semidirect
248. #2362C22semidirect
249. #2362C22semidirect
252. #2357C22semidirect
253. #2355C22semidirect
256. Q8×C4⋊C4C22semidirect
258. #2346C22semidirect
259. #2346C22semidirect
262. #2334C22semidirect
265. #2324C22semidirect
267. #2319C22semidirect
268. #2317C22semidirect
269. #2316C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
277. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
282. #2298C22semidirect
283. #2296C22semidirect
284. #2295C22semidirect
285. #2295C22semidirect
286. #2295C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
292. #2290C22semidirect
293. #2276C22semidirect
294. C42×Q8C22semidirect
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
#427692
#427622
#426342
#426272
#418962
#418592
#418082
#418002
#390792
#390702
#389642
#389572
#389232
#389102
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