Finite Group Databasebeta

← #7653593

Subgroups — #7653593

Order 512.

5332 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42634C212yesmaximal, complemented
2#42535C212yesmaximal, complemented
3#41356C214yesmaximal, complemented
4#41353C214yesmaximal, complemented
5#40415C214yesmaximal, complemented
6#40103C212yesmaximal, complemented
7#39370C211yesmaximal, characteristic, complemented
8#39247C212yesmaximal, complemented
9#39070C212yesmaximal, complemented
10#39046C212yesmaximal, complemented
11#38957C211yesmaximal, characteristic, complemented
12#38923C211yesmaximal, characteristic, complemented
13#38910C211yesmaximal, characteristic
14#38266C212yesmaximal, complemented
15#38015C214yesmaximal, complemented
16#37759C212yesmaximal, complemented
17#37629C211yesmaximal, characteristic, complemented
18#37524C212yesmaximal, complemented
19#36561C211yesmaximal, characteristic, complemented
20#36555C211yesmaximal, characteristic, complemented
21#36528C212yesmaximal, complemented
22#36271C211yesmaximal, characteristic, complemented
23#36161C212yesmaximal, complemented
24#36117C211yesmaximal, characteristic, complemented
25#35909C212yesmaximal, complemented
26#35884C212yesmaximal, complemented
27#35288C211yesmaximal, characteristic, complemented
28#35176C211yesmaximal, characteristic, complemented
29#35174C212yesmaximal, complemented
30#35037C212yesmaximal, complemented
31#34969C211yesmaximal, characteristic, complemented
32#34700C212yesmaximal, complemented
33#34324C211yesmaximal, characteristic, complemented
34C4×D42C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yescomplemented
38C2×#554C2212yescomplemented
39C2×D42C2211yescharacteristic
40C2×#544C2212yescomplemented
41C2×#529C2211yescharacteristic
42C2×#529C2212yescomplemented
43C22×C4×D4C2212yes—
44C22×C4×D4C2212yes—
45#2864C2212yescomplemented
46#2860C2212yescomplemented
47#2859C2211yescharacteristic, complemented
48#2858C2211yescharacteristic
49#2857C2211yescharacteristic, complemented
50#2857C2212yescomplemented
51#2857C2212yescomplemented
52#2856C2211yescharacteristic
53#2855C2212yescomplemented
54#2854C2212yescomplemented
55#2848C2214yescomplemented
56#2848C2214yescomplemented
57#2830C2214yescomplemented
58#2827C2214yescomplemented
59#2827C2214yescomplemented
60#2779C2214yescomplemented
61#2773C2214yescomplemented
62#2772C2214yescomplemented
63#2761C2214yescomplemented
64#2751C2214yescomplemented
65#2741C2214yescomplemented
66#2740C2214yescomplemented
67#2736C2214yescomplemented
68#2735C2214yescomplemented
69#2735C2214yescomplemented
70#2729C2214yescomplemented
71#2722C2214yescomplemented
72#2716C2214yescomplemented
73#2707C2214yescomplemented
74#2706C2214yescomplemented
75#2704C2214yescomplemented
76#2702C2214yescomplemented
77#2697C2214yescomplemented
78#2696C2214yescomplemented
79#2695C2214yescomplemented
80#2685C2214yes—
81#2685C2214yes—
82#2685C2214yes—
83#2678C2214yes—
84#2667C2214yescomplemented
85#2667C2214yescomplemented
86#2664C2214yescomplemented
87#2654C2214yescomplemented
88#2653C2214yescomplemented
89#2652C2214yescomplemented
90#2644C2212yescomplemented
91#2644C2212yescomplemented
92#2644C2212yescomplemented
93#2640C2212yescomplemented
94#2640C2212yescomplemented
95#2638C2214yescomplemented
96#2630C2214yescomplemented
97#2629C2212yescomplemented
98#2626C2214yescomplemented
99#2626C2214yescomplemented
100#2625C2212yescomplemented
101#2624C2212yes—
102#2624C2212yescomplemented
103#2620C2212yes—
104#2611C2214yescomplemented
105#2603C2214yescomplemented
106#2601C2214yescomplemented
107#2595C2214yescomplemented
108#2594C2214yescomplemented
109#2592C2212yescomplemented
110#2587C2214yescomplemented
111#2582C2211yescharacteristic, complemented
112#2564C2214yescomplemented
113#2561C2214yescomplemented
114#2560C2214yescomplemented
115#2560C2214yescomplemented
116#2560C2214yescomplemented
117#2556C2214yescomplemented
118#2552C2211yescharacteristic, complemented
119#2551C2211yescharacteristic, complemented
120#2548C2211yescharacteristic
121#2548C2211yescharacteristic
122#2547C2212yes—
123#2546C2211yescharacteristic, complemented
124#2546C2212yescomplemented
125#2545C2212yescomplemented
126#2542C2211yescharacteristic
127#2540C2212yes—
128#2538C2212yes—
129#2538C2211yescharacteristic
130#2534C2214yescomplemented
131#2531C2214yescomplemented
132#2530C2214yescomplemented
133#2530C2212yescomplemented
134#2527C2212yescomplemented
135#2522C2214yescomplemented
136#2522C2214yescomplemented
137#2513C2212yescomplemented
138#2512C2212yescomplemented
139#2512C2212yescomplemented
140#2511C2211yescharacteristic, complemented
141#2509C2211yescharacteristic, complemented
142#2507C2212yescomplemented
143#2506C2212yescomplemented
144#2506C2212yescomplemented
145#2501C2212yescomplemented
146#2500C2212yes—
147#2497C2212yescomplemented
148#2494C2211yescharacteristic, complemented
149#2492C2212yescomplemented
150#2492C2211yescharacteristic, complemented
151#2490C2212yes—
152#2490C2212yescomplemented
153#2485C2212yescomplemented
154#2485C2214yescomplemented
155#2480C2214yescomplemented
156#2480C2214yescomplemented
157#2480C2214yescomplemented
158#2479C2214yescomplemented
159#2477C2212yescomplemented
160#2475C2214yescomplemented
161#2470C2212yescomplemented
162#2468C2214yescomplemented
163#2466C2214yescomplemented
164#2466C2214yescomplemented
165#2463C2214yescomplemented
166#2463C2214yescomplemented
167#2460C2214yescomplemented
168#2460C2214yescomplemented
169#2457C2214yescomplemented
170#2454C2212yes—
171#2454C2212yes—
172#2454C2212yescomplemented
173#2454C2214yescomplemented
174#2454C2214yescomplemented
175#2454C2212yescomplemented
176#2453C2212yescomplemented
177#2453C2212yescomplemented
178#2452C2211yescharacteristic
179#2452C2212yes—
180#2452C2212yes—
181#2452C2214yescomplemented
182#2452C2214yescomplemented
183#2452C2214yescomplemented
184#2452C2212yescomplemented
185#2452C2212yescomplemented
186#2452C2212yescomplemented
187#2448C2212yescomplemented
188#2448C2212yescomplemented
189#2447C2211yescharacteristic
190#2447C2212yescomplemented
191#2447C2212yescomplemented
192#2447C2212yescomplemented
193#2442C2212yescomplemented
194#2439C2212yescomplemented
195#2435C2212yes—
196#2435C2212yes—
197#2435C2212yes—
198#2435C2212yes—
199#2429C2212yescomplemented
200#2429C2212yescomplemented
201#2427C2212yes—
202#2427C2211yescharacteristic
203#2427C2212yescomplemented
204#2426C2212yes—
205#2426C2212yes—
206#2426C2212yescomplemented
207#2425C2214yescomplemented
208#2423C2212yescomplemented
209#2423C2212yescomplemented
210#2422C2211yescharacteristic
211#2420C2212yescomplemented
212#2418C2214yescomplemented
213#2417C2212yescomplemented
214#2417C2212yescomplemented
215#2415C2214yescomplemented
216#2414C2212yes—
217#2408C2212yes—
218#2408C2212yes—
219#2401C2212yescomplemented
220#2398C2212yescomplemented
221#2395C2214yescomplemented
222#2392C2214yescomplemented
223#2373C2214yescomplemented
224#2373C2212yescomplemented
225#2373C2212yescomplemented
226#2370C2211yescharacteristic, complemented
227#2370C2211yescharacteristic, complemented
228#2367C2212yes—
229#2367C2211yescharacteristic
230#2367C2211yescharacteristic
231#2367C2212yescomplemented
232#2366C2211yescharacteristic
233#2365C2211yescharacteristic, complemented
234#2362C2212yescomplemented
235#2361C2211yescharacteristic
236#2361C2212yes—
237#2361C2211yescharacteristic
238#2361C2212yes—
239#2361C2212yescomplemented
240#2360C2212yescomplemented
241#2360C2212yescomplemented
242#2360C2211yescharacteristic, complemented
243#2360C2211yescharacteristic, complemented
244#2359C2212yescomplemented
245#2359C2212yescomplemented
246#2358C2214yes—
247#2355C2212yescomplemented
248#2354C2211yescharacteristic
249#2354C2212yescomplemented
250Q8×C4⋊C4C2211yescharacteristic, complemented
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253#2346C2212yescomplemented
254#2345C2212yescomplemented
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yes—
257#2335C2214yescomplemented
258#2334C2214yescomplemented
259#2332C2214yescomplemented
260#2330C2212yescomplemented
261#2326C2212yes—
262#2324C2212yescomplemented
263#2319C2212yes—
264#2319C2212yescomplemented
265#2316C2212yescomplemented
266#2309C2212yes—
267#2309C2212yes—
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×#127C2211yescharacteristic
271C4×#124C2211yescharacteristic
272C4×#124C2212yes—
273C4×C22⋊Q8C2211yescharacteristic, complemented
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#120C2214yes—
282C4×#120C2214yescomplemented
283#2298C2212yescomplemented
284#2296C2212yescomplemented
285#2296C2212yescomplemented
286#2295C2211yescharacteristic, complemented
287#2295C2211yescharacteristic, complemented
288#2293C2211yescharacteristic
289#2293C2212yescomplemented
290#2290C2212yescomplemented
291#2280C2214yescomplemented
292#2276C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C23×D4C2312yes—
300C23×D4C2312yes—
301C24×C4C2314yes—
302#556—28no—
303#556—48no—
304#554—48no—
305D42—28no—
306#544—48no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×#127C2311yescharacteristic
314#529—28no—
315#529—48no—
316C2×#126C2314yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#124C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×D4—48no—
370C2×C4×D4—48no—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2311yescharacteristic
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2311yescharacteristic
399C2×#117C2314yes—
400C2×#117C2314yes—
401C2×#117C2311yescharacteristic
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2311yescharacteristic
406C22×C22⋊C4C2314yes—
407C22×C22⋊C4C2314yes—
408C22×C42C2311yescharacteristic
409C22×C42C2312yes—
410C22×C42C2312yes—
411C22×C42C2312yes—
412#401C2312yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2312yes—
421#400C2312yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#395C2314yes—
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#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2312yes—
505#393C2312yes—
506#392C2314yes—
507#392C2314yes—
508#391C2312yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2311yescharacteristic
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2312yes—
713#384C2312yes—
714#384C2312yes—
715#382C2314yes—
716#382C2312yes—
717#382C2311yescharacteristic
718#381C2312yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#379C2314yes—
742#379C2314yes—
743#379C2314yes—
744#379C2314yes—
745#379C2314yes—
746#379C2314yes—
747#379C2314yes—
748#379C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2311yescharacteristic
812#376C2312yes—
813#376C2314yes—
814#376C2311yescharacteristic
815C2×#95C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2312yes—
819C25C2414yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4—28no—
826C22×D4—28no—
827C22×D4—28no—
828C22×D4—44no—
829C22×D4—44no—
830C22×D4—44no—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C23×C4—48no—
842C23×C4—48no—
843C23×C4—48no—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864C4⋊Q8—48no—
865#127—24no—
866#126—28no—
867#126—216no—
868#126—48no—
869#126—48no—
870#126—48no—
871#125—24no—
872#125—28no—
873#125—44no—
874#125—48no—
875#125—48no—
876#124—24no—
877#124—28no—
878#124—24no—
879#124—44no—
880#124—44no—
881#124—44no—
882#124—44no—
883#123—28no—
884#123—48no—
885#123—44no—
886#123—48no—
887C22⋊Q8—28no—
888C22⋊Q8—24no—
889C22⋊Q8—24no—
890C22⋊Q8—44no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—48no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901#121—24no—
902#121—24no—
903#121—28no—
904#121—28no—
905#121—44no—
906#121—44no—
907#121—44no—
908#120—216no—
909#120—48no—
910C4×Q8—28no—
911C4×Q8—28no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—42no—
918C4×Q8—44no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—42no—
931C4×D4—44no—
932C4×D4—48no—
933C4×D4—44no—
934C4×D4—48no—
935C4×D4—48no—
936C4×D4—48no—
937C4×D4—48no—
938C4×D4—44no—
939C4×D4—48no—
940C4×D4—44no—
941C4×D4#4118yes—
942#117—28no—
943#117—28no—
944#117—44no—
945#117—48no—
946#117—42no—
947#117—42no—
948#117—48no—
949#117—44no—
950C2×C4⋊C4—28no—
951C2×C4⋊C4—28no—
952C2×C4⋊C4—24no—
953C2×C4⋊C4—42no—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C22⋊C4—48no—
1023C2×C22⋊C4—48no—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C42—24no—
1086C2×C42—44no—
1087C2×C42—44no—
1088C2×C42—44no—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192C24—28no—
1193C24—28no—
1194C24—44no—
1195C24—44no—
1196C24—44no—
1197C24—44no—
1198C24—44no—
1199C24C2514yes—
1200C24C2512yes—
1201C24C2512yes—
1202C24C2511yescharacteristic
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×D4—24no—
1219C2×D4—28no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—22no—
1226C2×D4—28no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—432no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—432no—
1248C2×D4C2×#4114yes—
1249C2×D42−1+414yes—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—28no—
1263C22×C4—28no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—28no—
1272C22×C4—28no—
1273C22×C4—24no—
1274C22×C4—28no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—41no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—832no—
1295C22×C4C2×#4118yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2514yes—
1311C22×C4C2512yes—
1312C22×C4C2514yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—28no—
1339C4⋊C4—24no—
1340C4⋊C4—28no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—28no—
1348C4⋊C4—28no—
1349C4⋊C4—28no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—42no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4C2×#4114yes—
1393C4⋊C4H(5,𝔽2)14yes—
1394C4⋊C4H(5,𝔽2)14yes—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—22no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—41no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4C2×#4118yes—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—24no—
1460C42—28no—
1461C42—24no—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—22no—
1469C42—28no—
1470C42—24no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—42no—
1478C42—42no—
1479C42—42no—
1480C42—42no—
1481C42—42no—
1482C42—42no—
1483C42—41no—
1484C42—41no—
1485C42—41no—
1486C42—44no—
1487C42—44no—
1488C42—42no—
1489C42—42no—
1490C42—44no—
1491C42—42no—
1492C42C2×#4114yes—
1493C23—21no—
1494C23—22no—
1495C23—21no—
1496C23—22no—
1497C23—22no—
1498C23—21no—
1499C23—22no—
1500C23—22no—
1501C23—21no—
1502C23—22no—
1503C23—21no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—21no—
1511C23—24no—
1512C23—24no—
1513C23—24no—
1514C23—24no—
1515C23—24no—
1516C23—24no—
1517C23—24no—
1518C23—416no—
1519C23—416no—
1520C23—88no—
1521C23—88no—
1522C23—88no—
1523C23—88no—
1524C23—88no—
1525C23C22×#4114yes—
1526C23C2×2−1+414yes—
1527C23#58512yes—
1528C23C2611yescharacteristic
1529Q8—44no—
1530Q8—48no—
1531Q8—44no—
1532Q8—84no—
1533Q8—164no—
1534D4—28no—
1535D4—28no—
1536D4—416no—
1537D4—48no—
1538D4—48no—
1539D4—416no—
1540D4—48no—
1541D4—48no—
1542D4—84no—
1543D4—88no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—216no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—416no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—48no—
1633C2×C4—44no—
1634C2×C4—84no—
1635C2×C4—88no—
1636C2×C4—88no—
1637C2×C4—88no—
1638C2×C4—84no—
1639C2×C4—84no—
1640C2×C4—84no—
1641C2×C4C22×#4114yes—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4112yes—
1644C2×C4C22×#4112yes—
1645C2×C4C2×H(5,𝔽2)14yes—
1646C2×C4C2×H(5,𝔽2)14yes—
1647C2×C4C2×H(5,𝔽2)12yes—
1648C2×C4C2×H(5,𝔽2)12yes—
1649C2×C4C2×2−1+412yes—
1650C2×C4#58512yes—
1651C2×C4#58512yes—
1652C22—24no—
1653C22—22no—
1654C22—22no—
1655C22—24no—
1656C22—24no—
1657C22—24no—
1658C22—22no—
1659C22—24no—
1660C22—24no—
1661C22—42no—
1662C22—42no—
1663C22—41no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—41no—
1668C22—42no—
1669C22—41no—
1670C22—42no—
1671C22—41no—
1672C22—42no—
1673C22—44no—
1674C22—44no—
1675C22—44no—
1676C22—44no—
1677C22—44no—
1678C22—44no—
1679C22—44no—
1680C22—832no—
1681C22C23×#4111yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C22×H(5,𝔽2)11yescharacteristic
1684C22C22×2−1+411yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22C2×#58511yescharacteristic
1687C22C2×#58511yescharacteristic
1688C4—22no—
1689C4—24no—
1690C4—24no—
1691C4—24no—
1692C4—22no—
1693C4—44no—
1694C4—42no—
1695C4—41no—
1696C4—42no—
1697C4—41no—
1698C4—42no—
1699C4—41no—
1700C4—42no—
1701C4—41no—
1702C4—42no—
1703C4—41no—
1704C4—42no—
1705C4—44no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—42no—
1713C4—41no—
1714C4—42no—
1715C4—42no—
1716C4—44no—
1717C4#346014yes—
1718C4#352014yes—
1719C2—42no—
1720C2—44no—
1721C2—44no—
1722C2—84no—
1723C2C2×#346011yescharacteristic
1724C2C2×#352011yescharacteristic
1725C2#6281011yescharacteristic
1726C2#6301211yescharacteristic
1727C2#6301511yescharacteristic
1728C2#6301911yescharacteristic
1729C2#6302511yescharacteristic
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. #42634C2semidirect
2. #42535C2semidirect
3. #41356C2semidirect
4. #41353C2semidirect
5. #40415C2semidirect
6. #40103C2semidirect
7. #39370C2semidirect
8. #39247C2semidirect
9. #39070C2semidirect
10. #39046C2semidirect
11. #38957C2semidirect
12. #38923C2semidirect
14. #38266C2semidirect
15. #38015C2semidirect
16. #37759C2semidirect
17. #37629C2semidirect
18. #37524C2semidirect
19. #36561C2semidirect
20. #36555C2semidirect
21. #36528C2semidirect
22. #36271C2semidirect
23. #36161C2semidirect
24. #36117C2semidirect
25. #35909C2semidirect
26. #35884C2semidirect
27. #35288C2semidirect
28. #35176C2semidirect
29. #35174C2semidirect
30. #35037C2semidirect
31. #34969C2semidirect
32. #34700C2semidirect
33. #34324C2semidirect
34. C4×D42C2semidirect
35. #34153C2semidirect
37. C2×#556C22semidirect
38. C2×#554C22semidirect
40. C2×#544C22semidirect
42. C2×#529C22semidirect
45. #2864C22semidirect
46. #2860C22semidirect
47. #2859C22semidirect
49. #2857C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
53. #2855C22semidirect
54. #2854C22semidirect
55. #2848C22semidirect
56. #2848C22semidirect
57. #2830C22semidirect
58. #2827C22semidirect
59. #2827C22semidirect
60. #2779C22semidirect
61. #2773C22semidirect
62. #2772C22semidirect
63. #2761C22semidirect
64. #2751C22semidirect
65. #2741C22semidirect
66. #2740C22semidirect
67. #2736C22semidirect
68. #2735C22semidirect
69. #2735C22semidirect
70. #2729C22semidirect
71. #2722C22semidirect
72. #2716C22semidirect
73. #2707C22semidirect
74. #2706C22semidirect
75. #2704C22semidirect
76. #2702C22semidirect
77. #2697C22semidirect
78. #2696C22semidirect
79. #2695C22semidirect
84. #2667C22semidirect
85. #2667C22semidirect
86. #2664C22semidirect
87. #2654C22semidirect
88. #2653C22semidirect
89. #2652C22semidirect
90. #2644C22semidirect
91. #2644C22semidirect
92. #2644C22semidirect
93. #2640C22semidirect
94. #2640C22semidirect
95. #2638C22semidirect
96. #2630C22semidirect
97. #2629C22semidirect
98. #2626C22semidirect
99. #2626C22semidirect
100. #2625C22semidirect
102. #2624C22semidirect
104. #2611C22semidirect
105. #2603C22semidirect
106. #2601C22semidirect
107. #2595C22semidirect
108. #2594C22semidirect
109. #2592C22semidirect
110. #2587C22semidirect
111. #2582C22semidirect
112. #2564C22semidirect
113. #2561C22semidirect
114. #2560C22semidirect
115. #2560C22semidirect
116. #2560C22semidirect
117. #2556C22semidirect
118. #2552C22semidirect
119. #2551C22semidirect
123. #2546C22semidirect
124. #2546C22semidirect
125. #2545C22semidirect
130. #2534C22semidirect
131. #2531C22semidirect
132. #2530C22semidirect
133. #2530C22semidirect
134. #2527C22semidirect
135. #2522C22semidirect
136. #2522C22semidirect
137. #2513C22semidirect
138. #2512C22semidirect
139. #2512C22semidirect
140. #2511C22semidirect
141. #2509C22semidirect
142. #2507C22semidirect
143. #2506C22semidirect
144. #2506C22semidirect
145. #2501C22semidirect
147. #2497C22semidirect
148. #2494C22semidirect
149. #2492C22semidirect
150. #2492C22semidirect
152. #2490C22semidirect
153. #2485C22semidirect
154. #2485C22semidirect
155. #2480C22semidirect
156. #2480C22semidirect
157. #2480C22semidirect
158. #2479C22semidirect
159. #2477C22semidirect
160. #2475C22semidirect
161. #2470C22semidirect
162. #2468C22semidirect
163. #2466C22semidirect
164. #2466C22semidirect
165. #2463C22semidirect
166. #2463C22semidirect
167. #2460C22semidirect
168. #2460C22semidirect
169. #2457C22semidirect
172. #2454C22semidirect
173. #2454C22semidirect
174. #2454C22semidirect
175. #2454C22semidirect
176. #2453C22semidirect
177. #2453C22semidirect
181. #2452C22semidirect
182. #2452C22semidirect
183. #2452C22semidirect
184. #2452C22semidirect
185. #2452C22semidirect
186. #2452C22semidirect
187. #2448C22semidirect
188. #2448C22semidirect
190. #2447C22semidirect
191. #2447C22semidirect
192. #2447C22semidirect
193. #2442C22semidirect
194. #2439C22semidirect
199. #2429C22semidirect
200. #2429C22semidirect
203. #2427C22semidirect
206. #2426C22semidirect
207. #2425C22semidirect
208. #2423C22semidirect
209. #2423C22semidirect
211. #2420C22semidirect
212. #2418C22semidirect
213. #2417C22semidirect
214. #2417C22semidirect
215. #2415C22semidirect
219. #2401C22semidirect
220. #2398C22semidirect
221. #2395C22semidirect
222. #2392C22semidirect
223. #2373C22semidirect
224. #2373C22semidirect
225. #2373C22semidirect
226. #2370C22semidirect
227. #2370C22semidirect
231. #2367C22semidirect
233. #2365C22semidirect
234. #2362C22semidirect
239. #2361C22semidirect
240. #2360C22semidirect
241. #2360C22semidirect
242. #2360C22semidirect
243. #2360C22semidirect
244. #2359C22semidirect
245. #2359C22semidirect
247. #2355C22semidirect
249. #2354C22semidirect
250. Q8×C4⋊C4C22semidirect
253. #2346C22semidirect
254. #2345C22semidirect
257. #2335C22semidirect
258. #2334C22semidirect
259. #2332C22semidirect
260. #2330C22semidirect
262. #2324C22semidirect
264. #2319C22semidirect
265. #2316C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×#123C22semidirect
282. C4×#120C22semidirect
283. #2298C22semidirect
284. #2296C22semidirect
285. #2296C22semidirect
286. #2295C22semidirect
287. #2295C22semidirect
289. #2293C22semidirect
290. #2290C22semidirect
291. #2280C22semidirect
292. #2276C22semidirect
293. C42×Q8C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#426342
#425352
#413562
#413532
#404152
#401032
#393702
#392472
#390702
#390462
#389572
#389232
#389102
#382662
#380152
#377592
#376292
#375242
#365612
#365552
#365282
#362712
#361612
#361172
#359092
#358842
#352882
#351762
#351742
#350372
#349692
#347002
#343242
C4×D422
#341532