Finite Group Databasebeta

← #7657027

Subgroups — #7657027

Order 512.

4821 conjugacy classes of subgroups.

The subgroup lattice has 2585 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42605C211yesmaximal, characteristic, complemented
2#42602C211yesmaximal, characteristic, complemented
3#42547C211yesmaximal, characteristic, complemented
4#42540C211yesmaximal, characteristic, complemented
5#42525C211yesmaximal, characteristic, complemented
6#42513C211yesmaximal, characteristic, complemented
7#42468C211yesmaximal, characteristic, complemented
8#42455C211yesmaximal, characteristic, complemented
9#40848C212yesmaximal, complemented
10#40833C212yesmaximal, complemented
11#40736C212yesmaximal, complemented
12#40713C212yesmaximal, complemented
13#40682C212yesmaximal, complemented
14#40655C212yesmaximal, complemented
15#40578C212yesmaximal, complemented
16#40553C212yesmaximal, complemented
17#40177C211yesmaximal, characteristic, complemented
18#40140C211yesmaximal, characteristic, complemented
19#39525C211yesmaximal, characteristic, complemented
20#39404C211yesmaximal, characteristic, complemented
21#38556C212yesmaximal, complemented
22#38517C212yesmaximal, complemented
23#37924C212yesmaximal, complemented
24#37729C212yesmaximal, complemented
25#37625C211yesmaximal, characteristic, complemented
26#37591C211yesmaximal, characteristic, complemented
27#37487C212yesmaximal, complemented
28#37473C212yesmaximal, complemented
29#36252C211yesmaximal, characteristic, complemented
30#36250C211yesmaximal, characteristic, complemented
31#36173C211yesmaximal, characteristic, complemented
32#36114C211yesmaximal, characteristic, complemented
33#35989C211yesmaximal, characteristic, complemented
34#35941C211yesmaximal, characteristic, complemented
35#35934C211yesmaximal, characteristic, complemented
36#35838C211yesmaximal, characteristic, complemented
37#35763C211yesmaximal, characteristic, complemented
38#35745C211yesmaximal, characteristic, complemented
39#35725C211yesmaximal, characteristic, complemented
40#35704C211yesmaximal, characteristic, complemented
41#35115C211yesmaximal, characteristic, complemented
42#35096C212yesmaximal, complemented
43#34636C212yesmaximal, complemented
44#34603C211yesmaximal, characteristic, complemented
45#34319C211yesmaximal, characteristic, complemented
46#34260C211yesmaximal, characteristic, complemented
47C4×#550C211yesmaximal, characteristic, complemented
48C2×#553C2211yescharacteristic
49C2×#550C2211yescharacteristic
50C2×#539C2212yes—
51C2×#529C2212yes—
52C2×#520C2211yescharacteristic
53C2×C4×#41C2212yes—
54#2864C2211yescharacteristic
55#2863C2211yescharacteristic
56#2863C2211yescharacteristic
57#2859C2211yescharacteristic
58#2855C2212yes—
59#2853C2212yes—
60#2852C2212yes—
61#2851C2212yes—
62#2839C2212yes—
63#2838C2212yes—
64#2830C2212yes—
65#2830C2212yes—
66#2829C2212yes—
67#2829C2212yes—
68#2829C2212yes—
69#2829C2212yes—
70#2827C2212yes—
71#2826C2212yes—
72#2826C2212yes—
73#2825C2212yes—
74#2802C2212yes—
75#2797C2212yes—
76#2774C2212yes—
77#2766C2212yes—
78#2761C2212yes—
79#2761C2212yes—
80#2761C2212yes—
81#2757C2212yes—
82#2757C2212yes—
83#2757C2212yes—
84#2756C2212yes—
85#2752C2212yes—
86#2752C2212yes—
87#2752C2212yes—
88#2751C2212yes—
89#2749C2212yes—
90#2749C2212yes—
91#2749C2212yes—
92#2746C2212yes—
93#2743C2212yes—
94#2743C2212yes—
95#2740C2212yes—
96#2740C2212yes—
97#2737C2212yes—
98#2730C2212yes—
99#2725C2212yes—
100#2725C2212yes—
101#2723C2212yes—
102#2723C2212yes—
103#2723C2212yes—
104#2723C2212yes—
105#2719C2212yes—
106#2714C2212yes—
107#2714C2212yes—
108#2711C2212yes—
109#2711C2212yes—
110#2709C2212yes—
111#2706C2212yes—
112#2705C2212yes—
113#2705C2212yes—
114#2696C2212yes—
115#2694C2212yes—
116#2694C2212yes—
117#2691C2212yes—
118#2681C2212yes—
119#2676C2212yes—
120#2676C2212yes—
121#2673C2212yes—
122#2667C2212yes—
123#2666C2211yescharacteristic
124#2666C2211yescharacteristic
125#2664C2212yes—
126#2662C2211yescharacteristic
127#2662C2211yescharacteristic
128#2662C2212yes—
129#2661C2212yes—
130#2661C2212yes—
131#2660C2211yescharacteristic
132#2655C2212yes—
133#2654C2211yescharacteristic
134#2654C2211yescharacteristic
135#2654C2212yes—
136#2653C2212yes—
137#2652C2212yes—
138#2651C2211yescharacteristic
139#2651C2212yes—
140#2651C2211yescharacteristic
141#2651C2211yescharacteristic
142#2651C2211yescharacteristic
143#2651C2212yes—
144#2650C2211yescharacteristic
145#2650C2211yescharacteristic
146#2650C2212yes—
147#2649C2212yes—
148#2644C2212yes—
149#2643C2212yes—
150#2643C2212yes—
151#2641C2212yes—
152#2641C2211yescharacteristic
153#2639C2212yes—
154#2639C2212yes—
155#2638C2212yes—
156#2638C2212yes—
157#2638C2212yes—
158#2637C2212yes—
159#2637C2211yescharacteristic
160#2637C2211yescharacteristic
161#2637C2212yes—
162#2636C2212yes—
163#2636C2212yes—
164#2635C2212yes—
165#2635C2212yes—
166#2635C2212yes—
167#2634C2212yes—
168#2633C2212yes—
169#2632C2211yescharacteristic
170#2632C2211yescharacteristic
171#2631C2212yes—
172#2630C2212yes—
173#2630C2212yes—
174#2630C2212yes—
175#2630C2212yes—
176#2630C2212yes—
177#2630C2212yes—
178#2629C2211yescharacteristic
179#2624C2211yescharacteristic
180#2624C2211yescharacteristic
181#2620C2211yescharacteristic
182#2620C2211yescharacteristic
183#2619C2211yescharacteristic
184#2597C2212yes—
185#2597C2212yes—
186#2596C2212yes—
187#2595C2212yes—
188#2594C2212yes—
189#2592C2211yescharacteristic
190#2592C2211yescharacteristic
191#2591C2212yes—
192#2584C2211yescharacteristic
193#2581C2211yescharacteristic
194#2580C2211yescharacteristic
195#2580C2211yescharacteristic
196#2579C2212yes—
197#2576C2212yes—
198#2574C2212yes—
199#2573C2212yes—
200#2572C2212yes—
201#2570C2211yescharacteristic
202#2566C2211yescharacteristic
203#2565C2211yescharacteristic
204#2559C2212yes—
205#2559C2212yes—
206#2559C2212yes—
207#2558C2212yes—
208#2556C2212yes—
209#2556C2212yes—
210#2553C2212yes—
211#2552C2211yescharacteristic
212#2552C2211yescharacteristic
213#2552C2211yescharacteristic
214#2549C2212yes—
215#2548C2211yescharacteristic
216#2543C2212yes—
217#2542C2211yescharacteristic
218#2541C2211yescharacteristic
219#2538C2211yescharacteristic
220#2538C2211yescharacteristic
221#2538C2211yescharacteristic
222#2537C2211yescharacteristic
223#2535C2211yescharacteristic
224#2533C2212yes—
225#2531C2212yes—
226#2530C2212yes—
227#2530C2212yes—
228#2528C2212yes—
229#2527C2212yes—
230#2525C2212yes—
231#2524C2212yes—
232#2523C2212yes—
233#2522C2212yes—
234#2522C2212yes—
235#2522C2212yes—
236#2521C2212yes—
237#2519C2212yes—
238#2518C2212yes—
239#2518C2212yes—
240#2517C2212yes—
241#2517C2212yes—
242#2516C2212yes—
243#2515C2212yes—
244#2514C2211yescharacteristic
245#2513C2211yescharacteristic
246#2513C2211yescharacteristic
247#2512C2211yescharacteristic
248#2512C2211yescharacteristic
249#2511C2211yescharacteristic
250#2509C2211yescharacteristic
251#2509C2211yescharacteristic
252#2508C2211yescharacteristic
253#2506C2211yescharacteristic
254#2502C2211yescharacteristic
255#2501C2211yescharacteristic
256#2500C2211yescharacteristic
257#2499C2211yescharacteristic
258#2497C2211yescharacteristic
259#2497C2211yescharacteristic
260#2496C2211yescharacteristic
261#2496C2211yescharacteristic
262#2496C2211yescharacteristic
263#2494C2211yescharacteristic
264#2492C2211yescharacteristic
265#2491C2211yescharacteristic
266#2490C2211yescharacteristic
267#2489C2211yescharacteristic
268#2478C2212yes—
269#2478C2212yes—
270#2477C2212yes—
271#2477C2212yes—
272#2476C2212yes—
273#2476C2212yes—
274#2476C2212yes—
275#2475C2212yes—
276#2471C2212yes—
277#2470C2212yes—
278#2470C2212yes—
279#2470C2212yes—
280#2468C2212yes—
281#2468C2212yes—
282#2467C2212yes—
283#2467C2212yes—
284#2466C2212yes—
285#2466C2212yes—
286#2466C2212yes—
287#2466C2212yes—
288#2465C2212yes—
289#2465C2212yes—
290#2462C2212yes—
291#2462C2212yes—
292#2461C2212yes—
293#2460C2212yes—
294#2460C2212yes—
295#2460C2212yes—
296#2459C2212yes—
297#2458C2212yes—
298#2457C2212yes—
299#2456C2212yes—
300#2456C2212yes—
301#2456C2212yes—
302#2456C2212yes—
303#2455C2212yes—
304#2454C2212yes—
305#2454C2211yescharacteristic
306#2454C2212yes—
307#2452C2211yescharacteristic
308#2450C2212yes—
309#2450C2212yes—
310#2449C2212yes—
311#2447C2211yescharacteristic
312#2447C2211yescharacteristic
313#2445C2211yescharacteristic
314#2445C2212yes—
315#2445C2211yescharacteristic
316#2444C2212yes—
317#2444C2212yes—
318#2443C2212yes—
319#2441C2211yescharacteristic
320#2440C2211yescharacteristic
321#2438C2212yes—
322#2431C2211yescharacteristic
323#2431C2211yescharacteristic
324#2430C2212yes—
325#2428C2212yes—
326#2428C2212yes—
327#2428C2211yescharacteristic
328#2428C2211yescharacteristic
329#2428C2211yescharacteristic
330#2428C2211yescharacteristic
331#2427C2211yescharacteristic
332#2427C2212yes—
333#2427C2211yescharacteristic
334#2425C2212yes—
335#2422C2211yescharacteristic
336#2422C2211yescharacteristic
337#2422C2211yescharacteristic
338#2422C2211yescharacteristic
339#2421C2212yes—
340#2420C2212yes—
341#2420C2211yescharacteristic
342#2420C2211yescharacteristic
343#2420C2211yescharacteristic
344#2420C2211yescharacteristic
345#2419C2212yes—
346#2416C2211yescharacteristic
347#2414C2211yescharacteristic
348#2413C2212yes—
349#2407C2211yescharacteristic
350#2407C2211yescharacteristic
351#2406C2212yes—
352#2399C2211yescharacteristic
353#2398C2211yescharacteristic
354#2396C2211yescharacteristic
355#2396C2211yescharacteristic
356#2396C2211yescharacteristic
357#2396C2212yes—
358#2396C2212yes—
359#2395C2212yes—
360#2395C2211yescharacteristic
361#2395C2211yescharacteristic
362#2395C2212yes—
363#2392C2212yes—
364#2392C2211yescharacteristic
365#2392C2212yes—
366#2388C2212yes—
367#2388C2212yes—
368#2374C2212yes—
369#2373C2212yes—
370#2370C2211yescharacteristic
371#2370C2211yescharacteristic
372#2369C2211yescharacteristic
373#2367C2211yescharacteristic
374#2367C2211yescharacteristic
375#2366C2211yescharacteristic
376#2366C2211yescharacteristic
377#2366C2211yescharacteristic
378#2363C2212yes—
379#2363C2212yes—
380#2363C2211yescharacteristic
381#2363C2212yes—
382#2363C2211yescharacteristic
383#2363C2211yescharacteristic
384#2363C2212yes—
385#2362C2211yescharacteristic
386#2361C2211yescharacteristic
387#2361C2211yescharacteristic
388#2361C2211yescharacteristic
389#2361C2211yescharacteristic
390#2361C2211yescharacteristic
391#2360C2211yescharacteristic
392#2357C2211yescharacteristic
393#2357C2212yes—
394#2356C2211yescharacteristic
395#2355C2211yescharacteristic
396#2355C2211yescharacteristic
397#2354C2211yescharacteristic
398#2354C2211yescharacteristic
399#2354C2211yescharacteristic
400#2353C2212yes—
401#2352C2211yescharacteristic
402#2352C2212yes—
403#2352C2211yescharacteristic
404Q8×C4⋊C4C2211yescharacteristic
405Q8×C4⋊C4C2211yescharacteristic
406#2349C2211yescharacteristic
407D4×C4⋊C4C2211yescharacteristic
408D4×C4⋊C4C2211yescharacteristic
409#2346C2211yescharacteristic
410#2345C2211yescharacteristic
411#2344C2211yescharacteristic
412#2344C2211yescharacteristic
413#2343C2212yes—
414#2343C2212yes—
415#2341C2212yes—
416#2339C2211yescharacteristic
417#2339C2211yescharacteristic
418#2336C2212yes—
419#2336C2212yes—
420#2334C2212yes—
421#2333C2212yes—
422#2325C2212yes—
423#2324C2211yescharacteristic
424#2324C2211yescharacteristic
425#2322C2212yes—
426#2320C2211yescharacteristic
427#2318C2212yes—
428#2318C2212yes—
429#2314C2211yescharacteristic
430#2313C2212yes—
431C4×#127C2211yescharacteristic
432C4×#127C2211yescharacteristic
433C4×#127C2211yescharacteristic
434C4×#125C2211yescharacteristic
435C4×#126C2211yescharacteristic
436C4×#126C2211yescharacteristic
437C4×#124C2211yescharacteristic
438C4×#124C2211yescharacteristic
439C4×#123C2212yes—
440C4×#121C2212yes—
441C4×#121C2212yes—
442C4×#121C2212yes—
443#2298C2211yescharacteristic
444#2295C2211yescharacteristic
445#2293C2211yescharacteristic
446#2290C2212yes—
447#2290C2212yes—
448#2290C2212yes—
449#2290C2212yes—
450C2×#387C2212yes—
451#2283C2212yes—
452#2275C2211yescharacteristic
453#2274C2211yescharacteristic
454#2274C2211yescharacteristic
455C42×Q8C2211yescharacteristic
456C42×D4C2211yescharacteristic
457C42×D4C2211yescharacteristic
458C42×D4C2211yescharacteristic
459C22×#41C2311yescharacteristic
460C22×#41C2312yes—
461#553—28no—
462#550—28no—
463#539—48no—
464C2×C4⋊Q8C2311yescharacteristic
465C2×#127C2311yescharacteristic
466C2×#127C2311yescharacteristic
467C2×#127C2311yescharacteristic
468C2×#127C2312yes—
469#529—48no—
470C2×#126C2311yescharacteristic
471C2×#126C2312yes—
472C2×#126C2311yescharacteristic
473C2×#126C2312yes—
474C2×#126C2312yes—
475C2×#126C2312yes—
476C2×#126C2312yes—
477C2×#126C2312yes—
478C2×#125C2311yescharacteristic
479C2×#125C2312yes—
480C2×#125C2311yescharacteristic
481C2×#125C2312yes—
482C2×#125C2312yes—
483C2×#125C2312yes—
484C2×#125C2312yes—
485C2×#124C2311yescharacteristic
486C2×#124C2311yescharacteristic
487C2×#124C2311yescharacteristic
488C2×#124C2311yescharacteristic
489C2×#124C2312yes—
490C2×#123C2312yes—
491C2×#123C2312yes—
492C2×#123C2312yes—
493C2×#123C2312yes—
494C2×#123C2312yes—
495C2×#123C2312yes—
496C2×#123C2312yes—
497C2×#123C2312yes—
498C2×#123C2312yes—
499C2×C22⋊Q8C2312yes—
500C2×C22⋊Q8C2311yescharacteristic
501C2×C22⋊Q8C2311yescharacteristic
502C2×C22⋊Q8C2312yes—
503C2×C22⋊Q8C2312yes—
504C2×C22⋊Q8C2312yes—
505C2×C22⋊Q8C2312yes—
506C2×C22⋊Q8C2312yes—
507C2×#121C2311yescharacteristic
508C2×#121C2311yescharacteristic
509C2×#121C2312yes—
510C2×#121C2312yes—
511C2×#121C2312yes—
512C2×#121C2312yes—
513C2×#121C2312yes—
514C2×#121C2311yescharacteristic
515C2×#121C2311yescharacteristic
516C2×#121C2311yescharacteristic
517C2×#121C2311yescharacteristic
518C2×#121C2311yescharacteristic
519C2×#121C2311yescharacteristic
520C2×#121C2312yes—
521C2×#121C2312yes—
522C2×#121C2312yes—
523C2×#121C2312yes—
524C2×#121C2312yes—
525#520—28no—
526C4×#41—48no—
527C2×C4×Q8C2311yescharacteristic
528C2×C4×Q8C2311yescharacteristic
529C2×C4×Q8C2311yescharacteristic
530C2×C4×Q8C2311yescharacteristic
531C2×C4×Q8C2311yescharacteristic
532C2×C4×Q8C2311yescharacteristic
533C2×C4×Q8C2311yescharacteristic
534C2×C4×Q8C2312yes—
535C2×C4×Q8C2312yes—
536C2×C4×D4C2312yes—
537C2×C4×D4C2312yes—
538C2×C4×D4C2312yes—
539C2×C4×D4C2311yescharacteristic
540C2×C4×D4C2312yes—
541C2×C4×D4C2311yescharacteristic
542C2×C4×D4C2311yescharacteristic
543C2×C4×D4C2311yescharacteristic
544C2×C4×D4C2311yescharacteristic
545C2×C4×D4C2311yescharacteristic
546C2×C4×D4C2311yescharacteristic
547C2×C4×D4C2312yes—
548C2×C4×D4C2312yes—
549C2×C4×D4C2311yescharacteristic
550C2×C4×D4C2311yescharacteristic
551C2×C4×D4C2311yescharacteristic
552C2×C4×D4C2311yescharacteristic
553C2×C4×D4C2312yes—
554C2×C4×D4C2312yes—
555C2×C4×D4C2311yescharacteristic
556C2×C4×D4C2311yescharacteristic
557C2×C4×D4C2312yes—
558C2×C4×D4C2312yes—
559C2×C4×D4C2312yes—
560C2×C4×D4C2312yes—
561C2×C4×D4C2312yes—
562C2×C4×D4C2312yes—
563C2×C4×D4C2312yes—
564C2×C4×D4C2311yescharacteristic
565C2×C4×D4C2312yes—
566C2×C4×D4C2312yes—
567C2×C4×D4C2312yes—
568C2×C4×D4C2311yescharacteristic
569C2×#117C2311yescharacteristic
570C2×#117C2312yes—
571C2×#117C2311yescharacteristic
572C2×#117C2311yescharacteristic
573C2×#117C2311yescharacteristic
574C2×#117C2312yes—
575C2×#117C2312yes—
576C2×#117C2311yescharacteristic
577C2×#117C2312yes—
578C2×#117C2312yes—
579C2×#117C2312yes—
580C22×C4⋊C4C2312yes—
581C22×C4⋊C4C2311yescharacteristic
582C22×C4⋊C4C2311yescharacteristic
583C22×C4⋊C4C2312yes—
584C22×C4⋊C4C2311yescharacteristic
585C22×C42C2312yes—
586C22×C42C2312yes—
587C22×C42C2312yes—
588#401C2312yes—
589#401C2312yes—
590#400C2312yes—
591#400C2312yes—
592#400C2312yes—
593#400C2312yes—
594#400C2312yes—
595#400C2312yes—
596#400C2312yes—
597#400C2312yes—
598#400C2312yes—
599#400C2312yes—
600#400C2311yescharacteristic
601#400C2312yes—
602#400C2312yes—
603#400C2312yes—
604#400C2312yes—
605#400C2312yes—
606#400C2311yescharacteristic
607#400C2312yes—
608#400C2312yes—
609#400C2312yes—
610#400C2311yescharacteristic
611#400C2311yescharacteristic
612#400C2311yescharacteristic
613#400C2311yescharacteristic
614#400C2311yescharacteristic
615#399C2312yes—
616#399C2312yes—
617#399C2312yes—
618#399C2312yes—
619#399C2312yes—
620#399C2312yes—
621#399C2312yes—
622#399C2312yes—
623#399C2311yescharacteristic
624#399C2311yescharacteristic
625#399C2311yescharacteristic
626#399C2311yescharacteristic
627#399C2312yes—
628#399C2312yes—
629#399C2311yescharacteristic
630#398C2312yes—
631#398C2312yes—
632#398C2312yes—
633#398C2311yescharacteristic
634#398C2312yes—
635#398C2312yes—
636#398C2312yes—
637#398C2312yes—
638#398C2312yes—
639#398C2312yes—
640#398C2312yes—
641#398C2312yes—
642#398C2312yes—
643#398C2312yes—
644#398C2312yes—
645#398C2312yes—
646#398C2312yes—
647#398C2312yes—
648#398C2312yes—
649#398C2312yes—
650#398C2311yescharacteristic
651#398C2311yescharacteristic
652#398C2311yescharacteristic
653#398C2311yescharacteristic
654#398C2311yescharacteristic
655#398C2311yescharacteristic
656#398C2311yescharacteristic
657#398C2311yescharacteristic
658#398C2311yescharacteristic
659#398C2311yescharacteristic
660#398C2311yescharacteristic
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672#397C2312yes—
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682#397C2312yes—
683#397C2312yes—
684#397C2312yes—
685#397C2312yes—
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716#396C2312yes—
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719#396C2312yes—
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722#396C2312yes—
723#396C2312yes—
724#396C2312yes—
725#396C2312yes—
726#396C2312yes—
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738#395C2312yes—
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764#394C2312yes—
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777#394C2312yes—
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788#394C2312yes—
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799#393C2312yes—
800#393C2312yes—
801#393C2312yes—
802#393C2312yes—
803#393C2312yes—
804#393C2312yes—
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811#392C2312yes—
812#392C2312yes—
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819#392C2312yes—
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821#392C2312yes—
822#392C2312yes—
823#392C2312yes—
824#392C2312yes—
825#392C2312yes—
826#392C2312yes—
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830#391C2312yes—
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838#391C2312yes—
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844#390C2312yes—
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875#390C2312yes—
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877#390C2312yes—
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904#389C2312yes—
905#389C2312yes—
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907#389C2312yes—
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909#389C2312yes—
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914#389C2312yes—
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916#389C2312yes—
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921#389C2312yes—
922#389C2312yes—
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932#388C2312yes—
933#388C2312yes—
934#388C2312yes—
935#388C2312yes—
936#388C2312yes—
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943#388C2312yes—
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978#388C2312yes—
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1006#387C2312yes—
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1010#387C2312yes—
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1012#387C2312yes—
1013#387C2312yes—
1014#387C2312yes—
1015#387C2312yes—
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1017#387C2312yes—
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1019#387C2312yes—
1020#387C2312yes—
1021#387C2312yes—
1022#387C2312yes—
1023#387C2312yes—
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1027#387C2312yes—
1028#387C2312yes—
1029#387C2312yes—
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1106#386C2312yes—
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1141#385C2312yes—
1142#385C2312yes—
1143#385C2312yes—
1144#385C2312yes—
1145#385C2312yes—
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1159#383C2312yes—
1160#383C2312yes—
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1168#382C2312yes—
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1192#380C2312yes—
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1199#380C2312yes—
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1204#380C2312yes—
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1214C4×C4⋊C4C2312yes—
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1220C4×C4⋊C4C2312yes—
1221C4×C4⋊C4C2312yes—
1222C4×C4⋊C4C2312yes—
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1228C4×C4⋊C4C2312yes—
1229C4×C4⋊C4C2312yes—
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1258C4×C22⋊C4C2312yes—
1259C4×C22⋊C4C2312yes—
1260C4×C22⋊C4C2312yes—
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1262C4×C22⋊C4C2312yes—
1263C4×C22⋊C4C2312yes—
1264C4×C22⋊C4C2312yes—
1265C4×C22⋊C4C2312yes—
1266C4×C22⋊C4C2312yes—
1267C4×C22⋊C4C2312yes—
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1275C4×C22⋊C4C2312yes—
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1293C2×#95C2312yes—
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1295C2×#95C2312yes—
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1300C2×#41—24no—
1301C2×#41—28no—
1302C2×#41—44no—
1303C2×#41—42no—
1304C2×#41—44no—
1305C2×#41—42no—
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1310C22×Q8C2412yes—
1311C22×D4C2411yescharacteristic
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1313C22×D4C2412yes—
1314C22×D4C2412yes—
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1318C22×D4C2412yes—
1319C22×D4C2412yes—
1320C22×D4C2412yes—
1321C22×D4C2412yes—
1322C22×D4C2412yes—
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1324C22×D4C2412yes—
1325C22×D4C2412yes—
1326C22×D4C2412yes—
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1328C22×D4C2412yes—
1329C22×D4C2412yes—
1330C22×D4C2412yes—
1331C22×D4C2412yes—
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1335C23×C4C2412yes—
1336C23×C4C2412yes—
1337C23×C4C2412yes—
1338C23×C4C2412yes—
1339C23×C4C2412yes—
1340C23×C4C2412yes—
1341C23×C4C2412yes—
1342C23×C4C2412yes—
1343C23×C4C2412yes—
1344C23×C4C2412yes—
1345C23×C4C2412yes—
1346C23×C4C2412yes—
1347C23×C4C2412yes—
1348C23×C4C2412yes—
1349C23×C4C2412yes—
1350C23×C4C2412yes—
1351C4⋊Q8—42no—
1352#127—24no—
1353#127—24no—
1354#127—24no—
1355#127—82no—
1356#126—28no—
1357#126—24no—
1358#126—42no—
1359#126—44no—
1360#126—44no—
1361#126—44no—
1362#126—82no—
1363#126—82no—
1364#125—24no—
1365#125—28no—
1366#125—42no—
1367#125—44no—
1368#125—44no—
1369#125—82no—
1370#125—82no—
1371#124—24no—
1372#124—42no—
1373#124—42no—
1374#124—42no—
1375#124—82no—
1376#123—28no—
1377#123—44no—
1378#123—44no—
1379#123—44no—
1380#123—44no—
1381#123—44no—
1382#123—44no—
1383#123—44no—
1384#123—82no—
1385C22⋊Q8—44no—
1386C22⋊Q8—44no—
1387C22⋊Q8—44no—
1388C22⋊Q8—42no—
1389C22⋊Q8—42no—
1390C22⋊Q8—44no—
1391C22⋊Q8—82no—
1392C22⋊Q8—82no—
1393#121—24no—
1394#121—24no—
1395#121—28no—
1396#121—28no—
1397#121—28no—
1398#121—28no—
1399#121—44no—
1400#121—44no—
1401#121—42no—
1402#121—42no—
1403#121—42no—
1404#121—42no—
1405#121—42no—
1406#121—42no—
1407#121—44no—
1408#121—82no—
1409#121—82no—
1410#121—82no—
1411C4×Q8—24no—
1412C4×Q8—24no—
1413C4×Q8—24no—
1414C4×Q8—24no—
1415C4×Q8—42no—
1416C4×Q8—42no—
1417C4×Q8—42no—
1418C4×Q8—44no—
1419C4×Q8—44no—
1420C4×D4—24no—
1421C4×D4—28no—
1422C4×D4—28no—
1423C4×D4—24no—
1424C4×D4—24no—
1425C4×D4—28no—
1426C4×D4—24no—
1427C4×D4—28no—
1428C4×D4—42no—
1429C4×D4—42no—
1430C4×D4—42no—
1431C4×D4—42no—
1432C4×D4—42no—
1433C4×D4—42no—
1434C4×D4—42no—
1435C4×D4—42no—
1436C4×D4—44no—
1437C4×D4—44no—
1438C4×D4—42no—
1439C4×D4—42no—
1440C4×D4—44no—
1441C4×D4—44no—
1442C4×D4—44no—
1443C4×D4—44no—
1444C4×D4—44no—
1445C4×D4—44no—
1446C4×D4—44no—
1447C4×D4—44no—
1448C4×D4—44no—
1449C4×D4—82no—
1450C4×D4—82no—
1451C4×D4—82no—
1452C4×D4#4118yes—
1453#117—24no—
1454#117—28no—
1455#117—24no—
1456#117—42no—
1457#117—42no—
1458#117—44no—
1459#117—44no—
1460#117—44no—
1461#117—44no—
1462#117—42no—
1463#117—44no—
1464C2×C4⋊C4—28no—
1465C2×C4⋊C4—24no—
1466C2×C4⋊C4—24no—
1467C2×C4⋊C4—42no—
1468C2×C4⋊C4—44no—
1469C2×C4⋊C4C2412yes—
1470C2×C4⋊C4C2411yescharacteristic
1471C2×C4⋊C4C2411yescharacteristic
1472C2×C4⋊C4C2411yescharacteristic
1473C2×C4⋊C4C2412yes—
1474C2×C4⋊C4C2411yescharacteristic
1475C2×C4⋊C4C2412yes—
1476C2×C4⋊C4C2412yes—
1477C2×C4⋊C4C2411yescharacteristic
1478C2×C4⋊C4C2411yescharacteristic
1479C2×C4⋊C4C2412yes—
1480C2×C4⋊C4C2411yescharacteristic
1481C2×C4⋊C4C2411yescharacteristic
1482C2×C4⋊C4C2411yescharacteristic
1483C2×C4⋊C4C2411yescharacteristic
1484C2×C4⋊C4C2412yes—
1485C2×C4⋊C4C2412yes—
1486C2×C4⋊C4C2411yescharacteristic
1487C2×C4⋊C4C2411yescharacteristic
1488C2×C4⋊C4C2411yescharacteristic
1489C2×C4⋊C4C2411yescharacteristic
1490C2×C4⋊C4C2411yescharacteristic
1491C2×C4⋊C4C2412yes—
1492C2×C4⋊C4C2412yes—
1493C2×C4⋊C4C2412yes—
1494C2×C4⋊C4C2412yes—
1495C2×C4⋊C4C2411yescharacteristic
1496C2×C4⋊C4C2411yescharacteristic
1497C2×C4⋊C4C2412yes—
1498C2×C4⋊C4C2412yes—
1499C2×C4⋊C4C2411yescharacteristic
1500C2×C4⋊C4C2411yescharacteristic
1501C2×C4⋊C4C2411yescharacteristic
1502C2×C4⋊C4C2411yescharacteristic
1503C2×C4⋊C4C2412yes—
1504C2×C4⋊C4C2411yescharacteristic
1505C2×C4⋊C4C2412yes—
1506C2×C4⋊C4C2411yescharacteristic
1507C2×C4⋊C4C2411yescharacteristic
1508C2×C4⋊C4C2411yescharacteristic
1509C2×C4⋊C4C2412yes—
1510C2×C4⋊C4C2412yes—
1511C2×C4⋊C4C2412yes—
1512C2×C4⋊C4C2412yes—
1513C2×C4⋊C4C2412yes—
1514C2×C4⋊C4C2412yes—
1515C2×C4⋊C4C2412yes—
1516C2×C4⋊C4C2411yescharacteristic
1517C2×C4⋊C4C2411yescharacteristic
1518C2×C4⋊C4C2411yescharacteristic
1519C2×C4⋊C4C2411yescharacteristic
1520C2×C4⋊C4C2412yes—
1521C2×C4⋊C4C2412yes—
1522C2×C4⋊C4C2412yes—
1523C2×C4⋊C4C2411yescharacteristic
1524C2×C4⋊C4C2411yescharacteristic
1525C2×C4⋊C4C2412yes—
1526C2×C4⋊C4C2412yes—
1527C2×C4⋊C4C2411yescharacteristic
1528C2×C4⋊C4C2411yescharacteristic
1529C2×C4⋊C4C2411yescharacteristic
1530C2×C4⋊C4C2411yescharacteristic
1531C2×C4⋊C4C2411yescharacteristic
1532C2×C4⋊C4C2411yescharacteristic
1533C2×C4⋊C4C2411yescharacteristic
1534C2×C4⋊C4C2411yescharacteristic
1535C2×C4⋊C4C2412yes—
1536C2×C4⋊C4C2412yes—
1537C2×C4⋊C4C2412yes—
1538C2×C4⋊C4C2411yescharacteristic
1539C2×C4⋊C4C2412yes—
1540C2×C4⋊C4C2412yes—
1541C2×C4⋊C4C2412yes—
1542C2×C4⋊C4C2412yes—
1543C2×C4⋊C4C2412yes—
1544C2×C4⋊C4C2412yes—
1545C2×C4⋊C4C2412yes—
1546C2×C4⋊C4C2412yes—
1547C2×C4⋊C4C2412yes—
1548C2×C4⋊C4C2411yescharacteristic
1549C2×C4⋊C4C2411yescharacteristic
1550C2×C4⋊C4C2412yes—
1551C2×C4⋊C4C2412yes—
1552C2×C4⋊C4C2412yes—
1553C2×C4⋊C4C2412yes—
1554C2×C4⋊C4C2412yes—
1555C2×C4⋊C4C2412yes—
1556C2×C4⋊C4C2412yes—
1557C2×C4⋊C4C2412yes—
1558C2×C4⋊C4C2411yescharacteristic
1559C2×C4⋊C4C2411yescharacteristic
1560C2×C4⋊C4C2411yescharacteristic
1561C2×C4⋊C4C2412yes—
1562C2×C4⋊C4C2411yescharacteristic
1563C2×C4⋊C4C2411yescharacteristic
1564C2×C4⋊C4C2412yes—
1565C2×C4⋊C4C2412yes—
1566C2×C4⋊C4C2411yescharacteristic
1567C2×C4⋊C4C2411yescharacteristic
1568C2×C4⋊C4C2411yescharacteristic
1569C2×C22⋊C4C2411yescharacteristic
1570C2×C22⋊C4C2411yescharacteristic
1571C2×C22⋊C4C2412yes—
1572C2×C22⋊C4C2412yes—
1573C2×C22⋊C4C2412yes—
1574C2×C22⋊C4C2411yescharacteristic
1575C2×C22⋊C4C2411yescharacteristic
1576C2×C22⋊C4C2412yes—
1577C2×C22⋊C4C2411yescharacteristic
1578C2×C22⋊C4C2411yescharacteristic
1579C2×C22⋊C4C2411yescharacteristic
1580C2×C22⋊C4C2411yescharacteristic
1581C2×C22⋊C4C2411yescharacteristic
1582C2×C22⋊C4C2411yescharacteristic
1583C2×C22⋊C4C2412yes—
1584C2×C22⋊C4C2412yes—
1585C2×C22⋊C4C2412yes—
1586C2×C22⋊C4C2411yescharacteristic
1587C2×C22⋊C4C2411yescharacteristic
1588C2×C22⋊C4C2411yescharacteristic
1589C2×C22⋊C4C2412yes—
1590C2×C22⋊C4C2411yescharacteristic
1591C2×C22⋊C4C2412yes—
1592C2×C22⋊C4C2412yes—
1593C2×C22⋊C4C2412yes—
1594C2×C22⋊C4C2412yes—
1595C2×C22⋊C4C2412yes—
1596C2×C22⋊C4C2412yes—
1597C2×C22⋊C4C2412yes—
1598C2×C22⋊C4C2411yescharacteristic
1599C2×C22⋊C4C2411yescharacteristic
1600C2×C22⋊C4C2411yescharacteristic
1601C2×C22⋊C4C2411yescharacteristic
1602C2×C22⋊C4C2412yes—
1603C2×C22⋊C4C2412yes—
1604C2×C22⋊C4C2412yes—
1605C2×C22⋊C4C2412yes—
1606C2×C22⋊C4C2412yes—
1607C2×C22⋊C4C2412yes—
1608C2×C22⋊C4C2412yes—
1609C2×C22⋊C4C2412yes—
1610C2×C22⋊C4C2412yes—
1611C2×C22⋊C4C2412yes—
1612C2×C22⋊C4C2412yes—
1613C2×C22⋊C4C2412yes—
1614C2×C22⋊C4C2412yes—
1615C2×C22⋊C4C2412yes—
1616C2×C22⋊C4C2412yes—
1617C2×C22⋊C4C2411yescharacteristic
1618C2×C22⋊C4C2412yes—
1619C2×C22⋊C4C2412yes—
1620C2×C22⋊C4C2412yes—
1621C2×C22⋊C4C2412yes—
1622C2×C22⋊C4C2411yescharacteristic
1623C2×C22⋊C4C2412yes—
1624C2×C22⋊C4C2412yes—
1625C2×C22⋊C4C2411yescharacteristic
1626C2×C22⋊C4C2411yescharacteristic
1627C2×C22⋊C4C2411yescharacteristic
1628C2×C22⋊C4C2411yescharacteristic
1629C2×C22⋊C4C2412yes—
1630C2×C22⋊C4C2412yes—
1631C2×C22⋊C4C2412yes—
1632C2×C22⋊C4C2412yes—
1633C2×C22⋊C4C2412yes—
1634C2×C22⋊C4C2412yes—
1635C2×C22⋊C4C2412yes—
1636C2×C22⋊C4C2412yes—
1637C2×C22⋊C4C2412yes—
1638C2×C22⋊C4C2412yes—
1639C2×C22⋊C4C2412yes—
1640C2×C22⋊C4C2412yes—
1641C2×C22⋊C4C2412yes—
1642C2×C22⋊C4C2412yes—
1643C2×C22⋊C4C2412yes—
1644C2×C22⋊C4C2412yes—
1645C2×C22⋊C4C2412yes—
1646C2×C22⋊C4C2411yescharacteristic
1647C2×C22⋊C4C2412yes—
1648C2×C22⋊C4C2412yes—
1649C2×C22⋊C4C2412yes—
1650C2×C22⋊C4C2412yes—
1651C2×C22⋊C4C2411yescharacteristic
1652C2×C22⋊C4C2412yes—
1653C2×C22⋊C4C2412yes—
1654C2×C22⋊C4C2411yescharacteristic
1655C2×C22⋊C4C2412yes—
1656C2×C22⋊C4C2411yescharacteristic
1657C2×C22⋊C4C2412yes—
1658C2×C22⋊C4C2412yes—
1659C2×C22⋊C4C2411yescharacteristic
1660C2×C22⋊C4C2411yescharacteristic
1661C2×C22⋊C4C2411yescharacteristic
1662C2×C22⋊C4C2411yescharacteristic
1663C2×C22⋊C4C2411yescharacteristic
1664C2×C22⋊C4C2412yes—
1665C2×C22⋊C4C2412yes—
1666C2×C22⋊C4C2412yes—
1667C2×C22⋊C4C2412yes—
1668C2×C22⋊C4C2411yescharacteristic
1669C2×C22⋊C4C2411yescharacteristic
1670C2×C22⋊C4C2412yes—
1671C2×C22⋊C4C2411yescharacteristic
1672C2×C22⋊C4C2412yes—
1673C2×C42—28no—
1674C2×C42—44no—
1675C2×C42—44no—
1676C2×C42C2412yes—
1677C2×C42C2411yescharacteristic
1678C2×C42C2412yes—
1679C2×C42C2412yes—
1680C2×C42C2412yes—
1681C2×C42C2411yescharacteristic
1682C2×C42C2412yes—
1683C2×C42C2411yescharacteristic
1684C2×C42C2411yescharacteristic
1685C2×C42C2411yescharacteristic
1686C2×C42C2411yescharacteristic
1687C2×C42C2411yescharacteristic
1688C2×C42C2411yescharacteristic
1689C2×C42C2411yescharacteristic
1690C2×C42C2411yescharacteristic
1691C2×C42C2412yes—
1692C2×C42C2411yescharacteristic
1693C2×C42C2411yescharacteristic
1694C2×C42C2411yescharacteristic
1695C2×C42C2411yescharacteristic
1696C2×C42C2412yes—
1697C2×C42C2412yes—
1698C2×C42C2412yes—
1699C2×C42C2412yes—
1700C2×C42C2412yes—
1701C2×C42C2411yescharacteristic
1702C2×C42C2411yescharacteristic
1703C2×C42C2411yescharacteristic
1704C2×C42C2412yes—
1705C2×C42C2412yes—
1706C2×C42C2412yes—
1707C2×C42C2412yes—
1708C2×C42C2412yes—
1709C2×C42C2411yescharacteristic
1710C2×C42C2411yescharacteristic
1711C2×C42C2412yes—
1712C2×C42C2412yes—
1713C2×C42C2412yes—
1714C2×C42C2412yes—
1715C2×C42C2411yescharacteristic
1716C2×C42C2411yescharacteristic
1717C2×C42C2411yescharacteristic
1718C2×C42C2411yescharacteristic
1719C2×C42C2411yescharacteristic
1720#95C2411yescharacteristic
1721#95C2411yescharacteristic
1722#95C2411yescharacteristic
1723#95C2411yescharacteristic
1724#95C2412yes—
1725#95C2412yes—
1726#95C2412yes—
1727#95C2412yes—
1728#95C2412yes—
1729#95C2412yes—
1730#95C2412yes—
1731#95C2412yes—
1732#95C2412yes—
1733#95C2412yes—
1734#95C2412yes—
1735#95C2412yes—
1736#95C2411yescharacteristic
1737#95C2411yescharacteristic
1738#95C2411yescharacteristic
1739#95C2411yescharacteristic
1740#95C2411yescharacteristic
1741#95C2412yes—
1742#95C2412yes—
1743#95C2412yes—
1744#95C2412yes—
1745#95C2412yes—
1746#95C2412yes—
1747#95C2412yes—
1748#95C2412yes—
1749#95C2412yes—
1750#95C2411yescharacteristic
1751#95C2411yescharacteristic
1752#95C2411yescharacteristic
1753#95C2412yes—
1754#95C2412yes—
1755#95C2412yes—
1756#95C2411yescharacteristic
1757#95C2412yes—
1758#95C2411yescharacteristic
1759#95C2412yes—
1760#95C2412yes—
1761#95C2411yescharacteristic
1762#95C2411yescharacteristic
1763#95C2412yes—
1764#95C2412yes—
1765#95C2412yes—
1766#95C2412yes—
1767#95C2412yes—
1768#95C2412yes—
1769#95C2412yes—
1770#95C2412yes—
1771#95C2412yes—
1772#95C2411yescharacteristic
1773#95C2411yescharacteristic
1774#95C2411yescharacteristic
1775#95C2412yes—
1776#95C2412yes—
1777#95C2411yescharacteristic
1778#95C2412yes—
1779#95C2412yes—
1780#95C2411yescharacteristic
1781#95C2411yescharacteristic
1782#95C2411yescharacteristic
1783#95C2411yescharacteristic
1784#95C2411yescharacteristic
1785#95C2411yescharacteristic
1786#95C2412yes—
1787#95C2411yescharacteristic
1788#95C2412yes—
1789#95C2412yes—
1790#95C2411yescharacteristic
1791#95C2411yescharacteristic
1792#95C2411yescharacteristic
1793#95C2411yescharacteristic
1794#95C2411yescharacteristic
1795#95C2411yescharacteristic
1796#95C2411yescharacteristic
1797#95C2411yescharacteristic
1798#95C2411yescharacteristic
1799#95C2411yescharacteristic
1800#95C2411yescharacteristic
1801#95C2411yescharacteristic
1802#95C2411yescharacteristic
1803#95C2411yescharacteristic
1804#95C2411yescharacteristic
1805#95C2412yes—
1806#95C2412yes—
1807#95C2411yescharacteristic
1808#95C2412yes—
1809#95C2412yes—
1810#95C2412yes—
1811#95C2412yes—
1812#95C2412yes—
1813#95C2412yes—
1814#95C2412yes—
1815#95C2412yes—
1816#95C2411yescharacteristic
1817#95C2411yescharacteristic
1818#95C2412yes—
1819#95C2411yescharacteristic
1820#95C2411yescharacteristic
1821#95C2411yescharacteristic
1822#95C2412yes—
1823#95C2412yes—
1824#95C2412yes—
1825#95C2412yes—
1826#95C2412yes—
1827#95C2412yes—
1828#95C2412yes—
1829#95C2412yes—
1830#95C2412yes—
1831#95C2412yes—
1832#95C2412yes—
1833#95C2412yes—
1834#95C2412yes—
1835#95C2412yes—
1836#95C2412yes—
1837#95C2412yes—
1838C24C2511yescharacteristic
1839C24C2511yescharacteristic
1840C24C2511yescharacteristic
1841C24C2512yes—
1842C24C2512yes—
1843C24C2512yes—
1844#41—416no—
1845#41—432no—
1846C2×Q8—22no—
1847C2×Q8—22no—
1848C2×Q8—22no—
1849C2×Q8—22no—
1850C2×Q8—22no—
1851C2×Q8—22no—
1852C2×Q8—22no—
1853C2×Q8—41no—
1854C2×Q8—41no—
1855C2×Q8—41no—
1856C2×Q8—41no—
1857C2×Q8—41no—
1858C2×Q8—42no—
1859C2×Q8—42no—
1860C2×Q8—42no—
1861C2×D4—24no—
1862C2×D4—24no—
1863C2×D4—24no—
1864C2×D4—24no—
1865C2×D4—24no—
1866C2×D4—24no—
1867C2×D4—24no—
1868C2×D4—22no—
1869C2×D4—22no—
1870C2×D4—24no—
1871C2×D4—22no—
1872C2×D4—24no—
1873C2×D4—24no—
1874C2×D4—22no—
1875C2×D4—22no—
1876C2×D4—22no—
1877C2×D4—22no—
1878C2×D4—22no—
1879C2×D4—22no—
1880C2×D4—22no—
1881C2×D4—24no—
1882C2×D4—42no—
1883C2×D4—42no—
1884C2×D4—41no—
1885C2×D4—41no—
1886C2×D4—42no—
1887C2×D4—42no—
1888C2×D4—42no—
1889C2×D4—42no—
1890C2×D4—42no—
1891C2×D4—42no—
1892C2×D4—42no—
1893C2×D4—41no—
1894C2×D4—42no—
1895C2×D4—42no—
1896C2×D4—42no—
1897C2×D4—42no—
1898C2×D4—42no—
1899C2×D4—42no—
1900C2×D4—42no—
1901C2×D4—42no—
1902C2×D4—42no—
1903C2×D4—42no—
1904C2×D4—42no—
1905C2×D4—41no—
1906C2×D4—42no—
1907C2×D4—42no—
1908C2×D4—42no—
1909C2×D4—41no—
1910C2×D4—41no—
1911C2×D4—41no—
1912C2×D4—42no—
1913C2×D4—42no—
1914C2×D4—42no—
1915C2×D4—42no—
1916C2×D4—42no—
1917C2×D4—42no—
1918C2×D4—42no—
1919C2×D4—42no—
1920C2×D4—42no—
1921C2×D4—42no—
1922C2×D4—42no—
1923C2×D4C2×#4114yes—
1924C22×C4—24no—
1925C22×C4—24no—
1926C22×C4—22no—
1927C22×C4—22no—
1928C22×C4—22no—
1929C22×C4—24no—
1930C22×C4—24no—
1931C22×C4—24no—
1932C22×C4—22no—
1933C22×C4—22no—
1934C22×C4—22no—
1935C22×C4—22no—
1936C22×C4—24no—
1937C22×C4—22no—
1938C22×C4—22no—
1939C22×C4—24no—
1940C22×C4—24no—
1941C22×C4—24no—
1942C22×C4—24no—
1943C22×C4—24no—
1944C22×C4—24no—
1945C22×C4—42no—
1946C22×C4—42no—
1947C22×C4—42no—
1948C22×C4—42no—
1949C22×C4—42no—
1950C22×C4—42no—
1951C22×C4—42no—
1952C22×C4—42no—
1953C22×C4—42no—
1954C22×C4—42no—
1955C22×C4—42no—
1956C22×C4—42no—
1957C22×C4—42no—
1958C22×C4—42no—
1959C22×C4—42no—
1960C22×C4—42no—
1961C22×C4—42no—
1962C22×C4—42no—
1963C22×C4—42no—
1964C22×C4—42no—
1965C22×C4—42no—
1966C22×C4—42no—
1967C22×C4—42no—
1968C22×C4—42no—
1969C22×C4—42no—
1970C22×C4—42no—
1971C22×C4—42no—
1972C22×C4—42no—
1973C22×C4—42no—
1974C22×C4—42no—
1975C22×C4—42no—
1976C22×C4—42no—
1977C22×C4—42no—
1978C22×C4—42no—
1979C22×C4—42no—
1980C22×C4C2×#4118yes—
1981C22×C4C2512yes—
1982C22×C4C2511yescharacteristic
1983C22×C4C2512yes—
1984C22×C4C2512yes—
1985C22×C4C2511yescharacteristic
1986C22×C4C2511yescharacteristic
1987C22×C4C2512yes—
1988C22×C4C2511yescharacteristic
1989C22×C4C2511yescharacteristic
1990C22×C4C2511yescharacteristic
1991C22×C4C2511yescharacteristic
1992C22×C4C2511yescharacteristic
1993C22×C4C2512yes—
1994C22×C4C2511yescharacteristic
1995C22×C4C2511yescharacteristic
1996C22×C4C2511yescharacteristic
1997C22×C4C2511yescharacteristic
1998C22×C4C2511yescharacteristic
1999C22×C4C2511yescharacteristic
2000C22×C4C2511yescharacteristic
2001C22×C4C2511yescharacteristic
2002C22×C4C2512yes—
2003C22×C4C2512yes—
2004C22×C4C2512yes—
2005C22×C4C2511yescharacteristic
2006C22×C4C2512yes—
2007C22×C4C2511yescharacteristic
2008C22×C4C2512yes—
2009C22×C4C2511yescharacteristic
2010C22×C4C2511yescharacteristic
2011C22×C4C2511yescharacteristic
2012C22×C4C2512yes—
2013C22×C4C2512yes—
2014C22×C4C2512yes—
2015C22×C4C2511yescharacteristic
2016C22×C4C2511yescharacteristic
2017C22×C4C2511yescharacteristic
2018C22×C4C2511yescharacteristic
2019C22×C4C2511yescharacteristic
2020C22×C4C2511yescharacteristic
2021C22×C4C2511yescharacteristic
2022C4⋊C4—24no—
2023C4⋊C4—22no—
2024C4⋊C4—24no—
2025C4⋊C4—24no—
2026C4⋊C4—22no—
2027C4⋊C4—22no—
2028C4⋊C4—24no—
2029C4⋊C4—22no—
2030C4⋊C4—22no—
2031C4⋊C4—24no—
2032C4⋊C4—22no—
2033C4⋊C4—22no—
2034C4⋊C4—22no—
2035C4⋊C4—22no—
2036C4⋊C4—24no—
2037C4⋊C4—22no—
2038C4⋊C4—24no—
2039C4⋊C4—22no—
2040C4⋊C4—22no—
2041C4⋊C4—22no—
2042C4⋊C4—24no—
2043C4⋊C4—24no—
2044C4⋊C4—24no—
2045C4⋊C4—24no—
2046C4⋊C4—24no—
2047C4⋊C4—24no—
2048C4⋊C4—22no—
2049C4⋊C4—22no—
2050C4⋊C4—22no—
2051C4⋊C4—22no—
2052C4⋊C4—22no—
2053C4⋊C4—22no—
2054C4⋊C4—22no—
2055C4⋊C4—22no—
2056C4⋊C4—24no—
2057C4⋊C4—22no—
2058C4⋊C4—22no—
2059C4⋊C4—24no—
2060C4⋊C4—22no—
2061C4⋊C4—22no—
2062C4⋊C4—42no—
2063C4⋊C4—42no—
2064C4⋊C4—42no—
2065C4⋊C4—41no—
2066C4⋊C4—42no—
2067C4⋊C4—41no—
2068C4⋊C4—41no—
2069C4⋊C4—41no—
2070C4⋊C4—42no—
2071C4⋊C4—41no—
2072C4⋊C4—41no—
2073C4⋊C4—41no—
2074C4⋊C4—41no—
2075C4⋊C4—42no—
2076C4⋊C4—42no—
2077C4⋊C4—42no—
2078C4⋊C4—42no—
2079C4⋊C4—41no—
2080C4⋊C4—41no—
2081C4⋊C4—42no—
2082C4⋊C4—42no—
2083C4⋊C4—42no—
2084C4⋊C4—41no—
2085C4⋊C4—41no—
2086C4⋊C4—41no—
2087C4⋊C4—41no—
2088C4⋊C4—41no—
2089C4⋊C4—41no—
2090C4⋊C4—41no—
2091C4⋊C4—41no—
2092C4⋊C4—42no—
2093C4⋊C4—42no—
2094C4⋊C4—42no—
2095C4⋊C4—42no—
2096C4⋊C4—42no—
2097C4⋊C4—42no—
2098C4⋊C4—42no—
2099C4⋊C4—42no—
2100C4⋊C4—42no—
2101C4⋊C4—41no—
2102C4⋊C4—42no—
2103C4⋊C4—42no—
2104C4⋊C4—42no—
2105C4⋊C4—42no—
2106C4⋊C4—42no—
2107C4⋊C4—42no—
2108C4⋊C4—42no—
2109C4⋊C4—42no—
2110C4⋊C4—42no—
2111C4⋊C4—42no—
2112C4⋊C4—41no—
2113C4⋊C4—41no—
2114C4⋊C4—42no—
2115C4⋊C4—42no—
2116C4⋊C4—42no—
2117C4⋊C4—41no—
2118C4⋊C4—41no—
2119C4⋊C4—41no—
2120C4⋊C4—42no—
2121C4⋊C4C2×#4114yes—
2122C22⋊C4—24no—
2123C22⋊C4—24no—
2124C22⋊C4—24no—
2125C22⋊C4—22no—
2126C22⋊C4—22no—
2127C22⋊C4—24no—
2128C22⋊C4—22no—
2129C22⋊C4—24no—
2130C22⋊C4—24no—
2131C22⋊C4—22no—
2132C22⋊C4—22no—
2133C22⋊C4—22no—
2134C22⋊C4—24no—
2135C22⋊C4—24no—
2136C22⋊C4—22no—
2137C22⋊C4—22no—
2138C22⋊C4—22no—
2139C22⋊C4—22no—
2140C22⋊C4—22no—
2141C22⋊C4—22no—
2142C22⋊C4—22no—
2143C22⋊C4—22no—
2144C22⋊C4—41no—
2145C22⋊C4—41no—
2146C22⋊C4—41no—
2147C22⋊C4—41no—
2148C22⋊C4—41no—
2149C22⋊C4—42no—
2150C22⋊C4—42no—
2151C22⋊C4—42no—
2152C22⋊C4—42no—
2153C22⋊C4—42no—
2154C22⋊C4—41no—
2155C22⋊C4—41no—
2156C22⋊C4—41no—
2157C22⋊C4—41no—
2158C22⋊C4—42no—
2159C22⋊C4—42no—
2160C22⋊C4—42no—
2161C22⋊C4—42no—
2162C22⋊C4—42no—
2163C22⋊C4—42no—
2164C22⋊C4—42no—
2165C22⋊C4—42no—
2166C22⋊C4—42no—
2167C22⋊C4—42no—
2168C22⋊C4—42no—
2169C22⋊C4—42no—
2170C22⋊C4—41no—
2171C22⋊C4—41no—
2172C22⋊C4—42no—
2173C22⋊C4—42no—
2174C22⋊C4—41no—
2175C22⋊C4—41no—
2176C22⋊C4—42no—
2177C22⋊C4—42no—
2178C22⋊C4—42no—
2179C22⋊C4—42no—
2180C22⋊C4—42no—
2181C22⋊C4—42no—
2182C22⋊C4—42no—
2183C22⋊C4—42no—
2184C22⋊C4—42no—
2185C22⋊C4—42no—
2186C22⋊C4—42no—
2187C22⋊C4—42no—
2188C22⋊C4—42no—
2189C22⋊C4—42no—
2190C22⋊C4—42no—
2191C22⋊C4—42no—
2192C22⋊C4—42no—
2193C22⋊C4—42no—
2194C22⋊C4—42no—
2195C22⋊C4—42no—
2196C22⋊C4—42no—
2197C22⋊C4—42no—
2198C22⋊C4—41no—
2199C22⋊C4—41no—
2200C22⋊C4—42no—
2201C22⋊C4—42no—
2202C22⋊C4—42no—
2203C22⋊C4—42no—
2204C22⋊C4—42no—
2205C22⋊C4—42no—
2206C22⋊C4—42no—
2207C22⋊C4—42no—
2208C22⋊C4—42no—
2209C22⋊C4—42no—
2210C22⋊C4—42no—
2211C22⋊C4—42no—
2212C22⋊C4—41no—
2213C22⋊C4—42no—
2214C22⋊C4—41no—
2215C22⋊C4—41no—
2216C22⋊C4—42no—
2217C22⋊C4—42no—
2218C22⋊C4—42no—
2219C22⋊C4—42no—
2220C22⋊C4—41no—
2221C22⋊C4—42no—
2222C22⋊C4—41no—
2223C22⋊C4—41no—
2224C22⋊C4—41no—
2225C22⋊C4C2×#4118yes—
2226C42—24no—
2227C42—22no—
2228C42—24no—
2229C42—24no—
2230C42—22no—
2231C42—22no—
2232C42—24no—
2233C42—24no—
2234C42—24no—
2235C42—22no—
2236C42—22no—
2237C42—22no—
2238C42—22no—
2239C42—22no—
2240C42—22no—
2241C42—22no—
2242C42—22no—
2243C42—22no—
2244C42—22no—
2245C42—22no—
2246C42—42no—
2247C42—42no—
2248C42—42no—
2249C42—42no—
2250C42—41no—
2251C42—41no—
2252C42—41no—
2253C42—42no—
2254C42—42no—
2255C42—42no—
2256C42—42no—
2257C42—42no—
2258C42—42no—
2259C42—41no—
2260C42—41no—
2261C42—41no—
2262C42—41no—
2263C42—41no—
2264C42—42no—
2265C42—42no—
2266C42—42no—
2267C42—42no—
2268C42C2×#4114yes—
2269C42H(5,𝔽2)14yes—
2270C23—22no—
2271C23—22no—
2272C23—22no—
2273C23—22no—
2274C23—22no—
2275C23—22no—
2276C23—21no—
2277C23—21no—
2278C23—21no—
2279C23—22no—
2280C23—22no—
2281C23—21no—
2282C23—21no—
2283C23—21no—
2284C23—22no—
2285C23—22no—
2286C23—21no—
2287C23—21no—
2288C23—21no—
2289C23—21no—
2290C23—22no—
2291C23—22no—
2292C23—21no—
2293C23—21no—
2294C23—22no—
2295C23—22no—
2296C23—22no—
2297C23—21no—
2298C23—22no—
2299C23—21no—
2300C23—21no—
2301C23—21no—
2302C23—22no—
2303C23—22no—
2304C23—21no—
2305C23—21no—
2306C23—21no—
2307C23—22no—
2308C23—21no—
2309C23—22no—
2310C23—21no—
2311C23C22×#4114yes—
2312C23C2611yescharacteristic
2313Q8—28no—
2314Q8—44no—
2315Q8—44no—
2316Q8—82no—
2317Q8—162no—
2318D4—28no—
2319D4—48no—
2320D4—48no—
2321D4—44no—
2322D4—48no—
2323D4—48no—
2324D4—44no—
2325D4—44no—
2326D4—82no—
2327D4—84no—
2328D4—84no—
2329D4—84no—
2330D4—84no—
2331D4—84no—
2332D4—84no—
2333D4—82no—
2334D4—84no—
2335D4—84no—
2336D4—84no—
2337D4—162no—
2338D4—162no—
2339C2×C4—21no—
2340C2×C4—21no—
2341C2×C4—22no—
2342C2×C4—21no—
2343C2×C4—21no—
2344C2×C4—21no—
2345C2×C4—21no—
2346C2×C4—22no—
2347C2×C4—21no—
2348C2×C4—21no—
2349C2×C4—21no—
2350C2×C4—21no—
2351C2×C4—21no—
2352C2×C4—21no—
2353C2×C4—21no—
2354C2×C4—21no—
2355C2×C4—22no—
2356C2×C4—22no—
2357C2×C4—21no—
2358C2×C4—21no—
2359C2×C4—22no—
2360C2×C4—21no—
2361C2×C4—21no—
2362C2×C4—22no—
2363C2×C4—21no—
2364C2×C4—22no—
2365C2×C4—22no—
2366C2×C4—21no—
2367C2×C4—21no—
2368C2×C4—22no—
2369C2×C4—21no—
2370C2×C4—21no—
2371C2×C4—21no—
2372C2×C4—22no—
2373C2×C4—22no—
2374C2×C4—22no—
2375C2×C4—22no—
2376C2×C4—21no—
2377C2×C4—21no—
2378C2×C4—22no—
2379C2×C4—21no—
2380C2×C4—21no—
2381C2×C4—21no—
2382C2×C4—21no—
2383C2×C4—21no—
2384C2×C4—21no—
2385C2×C4—21no—
2386C2×C4—21no—
2387C2×C4—21no—
2388C2×C4—21no—
2389C2×C4—21no—
2390C2×C4—21no—
2391C2×C4—21no—
2392C2×C4—21no—
2393C2×C4—21no—
2394C2×C4—21no—
2395C2×C4—21no—
2396C2×C4—21no—
2397C2×C4—21no—
2398C2×C4—22no—
2399C2×C4—21no—
2400C2×C4—22no—
2401C2×C4—22no—
2402C2×C4—22no—
2403C2×C4—21no—
2404C2×C4—22no—
2405C2×C4—21no—
2406C2×C4—21no—
2407C2×C4—21no—
2408C2×C4—22no—
2409C2×C4—21no—
2410C2×C4—22no—
2411C2×C4—22no—
2412C2×C4—22no—
2413C2×C4—21no—
2414C2×C4—21no—
2415C2×C4—22no—
2416C2×C4—22no—
2417C2×C4—22no—
2418C2×C4—21no—
2419C2×C4—21no—
2420C2×C4—22no—
2421C2×C4—22no—
2422C2×C4—21no—
2423C2×C4—22no—
2424C2×C4—21no—
2425C2×C4—21no—
2426C2×C4—21no—
2427C2×C4—22no—
2428C2×C4—21no—
2429C2×C4—22no—
2430C2×C4—21no—
2431C2×C4—22no—
2432C2×C4—22no—
2433C2×C4—21no—
2434C2×C4—21no—
2435C2×C4—22no—
2436C2×C4—21no—
2437C2×C4—22no—
2438C2×C4—21no—
2439C2×C4—21no—
2440C2×C4—21no—
2441C2×C4—21no—
2442C2×C4—21no—
2443C2×C4—21no—
2444C2×C4—21no—
2445C2×C4—21no—
2446C2×C4—22no—
2447C2×C4—21no—
2448C2×C4—22no—
2449C2×C4—21no—
2450C2×C4—21no—
2451C2×C4—22no—
2452C2×C4—48no—
2453C2×C4—48no—
2454C2×C4—48no—
2455C2×C4—48no—
2456C2×C4—44no—
2457C2×C4—44no—
2458C2×C4—44no—
2459C2×C4—84no—
2460C2×C4—84no—
2461C2×C4—84no—
2462C2×C4—84no—
2463C2×C4—84no—
2464C2×C4—84no—
2465C2×C4—84no—
2466C2×C4—84no—
2467C2×C4—84no—
2468C2×C4—162no—
2469C2×C4—162no—
2470C2×C4—162no—
2471C2×C4C22×#4112yes—
2472C2×C4C22×#4114yes—
2473C2×C4C22×#4112yes—
2474C2×C4C22×#4112yes—
2475C2×C4C2×H(5,𝔽2)12yes—
2476C2×C4C2×H(5,𝔽2)12yes—
2477C2×C4C2×H(5,𝔽2)12yes—
2478C2×C4#58512yes—
2479C2×C4#58512yes—
2480C2×C4#58512yes—
2481C22—24no—
2482C22—24no—
2483C22—24no—
2484C22—42no—
2485C22—42no—
2486C22—42no—
2487C22—42no—
2488C22—42no—
2489C22—42no—
2490C22—41no—
2491C22—41no—
2492C22—41no—
2493C22—41no—
2494C22—42no—
2495C22—42no—
2496C22—41no—
2497C22—41no—
2498C22—42no—
2499C22—42no—
2500C22—41no—
2501C22—41no—
2502C22—41no—
2503C22—41no—
2504C22—41no—
2505C22—41no—
2506C22—42no—
2507C22—42no—
2508C22—41no—
2509C22—41no—
2510C22—41no—
2511C22—42no—
2512C22—42no—
2513C22—42no—
2514C22—42no—
2515C22—41no—
2516C22—41no—
2517C22—41no—
2518C22—41no—
2519C22—42no—
2520C22—41no—
2521C22—41no—
2522C22—42no—
2523C22C23×#4111yescharacteristic
2524C22C22×H(5,𝔽2)11yescharacteristic
2525C22C2×#58511yescharacteristic
2526C22C2×#58511yescharacteristic
2527C22C2×#58511yescharacteristic
2528C22H(7,𝔽2)11yescharacteristic
2529C222−1+611yescharacteristic
2530C4—24no—
2531C4—22no—
2532C4—22no—
2533C4—22no—
2534C4—22no—
2535C4—22no—
2536C4—22no—
2537C4—41no—
2538C4—42no—
2539C4—42no—
2540C4—41no—
2541C4—42no—
2542C4—41no—
2543C4—41no—
2544C4—41no—
2545C4—41no—
2546C4—41no—
2547C4—42no—
2548C4—41no—
2549C4—41no—
2550C4—41no—
2551C4—41no—
2552C4—41no—
2553C4—41no—
2554C4—42no—
2555C4—41no—
2556C4—41no—
2557C4—41no—
2558C4—41no—
2559C4—41no—
2560C4—42no—
2561C4—42no—
2562C4—42no—
2563C4—42no—
2564C4—41no—
2565C4—42no—
2566C4—42no—
2567C4—41no—
2568C4—41no—
2569C4—42no—
2570C4#345514yes—
2571C2—44no—
2572C2—82no—
2573C2—82no—
2574C2—81no—
2575C2—81no—
2576C2—81no—
2577C2C2×#345511yescharacteristic
2578C2#6277311yescharacteristic
2579C2#6285711yescharacteristic
2580C2#6292511yescharacteristic
2581C2#6293711yescharacteristic
2582C2#6295511yescharacteristic
2583C2#6296711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42605C2semidirect
2. #42602C2semidirect
3. #42547C2semidirect
4. #42540C2semidirect
5. #42525C2semidirect
6. #42513C2semidirect
7. #42468C2semidirect
8. #42455C2semidirect
9. #40848C2semidirect
10. #40833C2semidirect
11. #40736C2semidirect
12. #40713C2semidirect
13. #40682C2semidirect
14. #40655C2semidirect
15. #40578C2semidirect
16. #40553C2semidirect
17. #40177C2semidirect
18. #40140C2semidirect
19. #39525C2semidirect
20. #39404C2semidirect
21. #38556C2semidirect
22. #38517C2semidirect
23. #37924C2semidirect
24. #37729C2semidirect
25. #37625C2semidirect
26. #37591C2semidirect
27. #37487C2semidirect
28. #37473C2semidirect
29. #36252C2semidirect
30. #36250C2semidirect
31. #36173C2semidirect
32. #36114C2semidirect
33. #35989C2semidirect
34. #35941C2semidirect
35. #35934C2semidirect
36. #35838C2semidirect
37. #35763C2semidirect
38. #35745C2semidirect
39. #35725C2semidirect
40. #35704C2semidirect
41. #35115C2semidirect
42. #35096C2semidirect
43. #34636C2semidirect
44. #34603C2semidirect
45. #34319C2semidirect
46. #34260C2semidirect
47. C4×#550C2semidirect

Maximal subgroups

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

subgroupindex
#426052
#426022
#425472
#425402
#425252
#425132
#424682
#424552
#408482
#408332
#407362
#407132
#406822
#406552
#405782
#405532
#401772
#401402
#395252
#394042
#385562
#385172
#379242
#377292
#376252
#375912
#374872
#374732
#362522
#362502
#361732
#361142
#359892
#359412
#359342
#358382
#357632
#357452
#357252
#357042
#351152
#350962
#346362
#346032
#343192
#342602
C4×#5502