Finite Group Databasebeta

← #7696331

Subgroups — #7696331

Order 512.

4730 conjugacy classes of subgroups.

The subgroup lattice has 2555 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59859C211yesmaximal, characteristic, complemented
2#59798C212yesmaximal, complemented
3#59777C212yesmaximal, complemented
4#59734C212yesmaximal, complemented
5#59718C211yesmaximal, characteristic, complemented
6#59672C211yesmaximal, characteristic, complemented
7#52279C212yesmaximal, complemented
8#52262C211yesmaximal, characteristic, complemented
9#45373C211yesmaximal, characteristic, complemented
10#45315C211yesmaximal, characteristic, complemented
11#45311C211yesmaximal, characteristic, complemented
12#45302C211yesmaximal, characteristic, complemented
13#44882C211yesmaximal, characteristic, complemented
14#44878C211yesmaximal, characteristic, complemented
15#43755C212yesmaximal, complemented
16#43749C212yesmaximal, complemented
17#43722C212yesmaximal, complemented
18#43714C212yesmaximal, complemented
19#43608C212yesmaximal, complemented
20#43606C212yesmaximal, complemented
21#40285C212yesmaximal, complemented
22#40029C212yesmaximal, complemented
23#39817C211yesmaximal, characteristic, complemented
24#39786C212yesmaximal, complemented
25#39424C211yesmaximal, characteristic, complemented
26#39319C212yesmaximal, complemented
27#39298C211yesmaximal, characteristic, complemented
28#39215C212yesmaximal, complemented
29#39197C211yesmaximal, characteristic, complemented
30#38668C212yesmaximal, complemented
31#38219C211yesmaximal, characteristic, complemented
32#38129C211yesmaximal, characteristic, complemented
33#36596C211yesmaximal, characteristic, complemented
34#36527C211yesmaximal, characteristic, complemented
35#36462C211yesmaximal, characteristic, complemented
36#36073C211yesmaximal, characteristic, complemented
37#36058C211yesmaximal, characteristic, complemented
38#36026C211yesmaximal, characteristic, complemented
39#36015C211yesmaximal, characteristic, complemented
40#36015C211yesmaximal, characteristic, complemented
41#36006C211yesmaximal, characteristic, complemented
42#34319C211yesmaximal, characteristic, complemented
43#34319C211yesmaximal, characteristic, complemented
44#34316C211yesmaximal, characteristic, complemented
45#34304C211yesmaximal, characteristic, complemented
46#34284C211yesmaximal, characteristic, complemented
47#34271C211yesmaximal, characteristic, complemented
48C2×#553C2211yescharacteristic
49C2×#553C2211yescharacteristic
50C2×#552C2211yescharacteristic
51C2×#547C2211yescharacteristic
52C2×#544C2211yescharacteristic
53C2×#542C2211yescharacteristic
54#2861C2211yescharacteristic
55#2860C2211yescharacteristic
56#2856C2212yes—
57#2856C2211yescharacteristic
58#2852C2212yes—
59#2850C2212yes—
60#2810C2212yes—
61#2809C2212yes—
62#2809C2212yes—
63#2803C2212yes—
64#2803C2211yescharacteristic
65#2802C2211yescharacteristic
66#2801C2211yescharacteristic
67#2800C2211yescharacteristic
68#2800C2211yescharacteristic
69#2800C2212yes—
70#2800C2212yes—
71#2800C2212yes—
72#2797C2212yes—
73#2797C2212yes—
74#2797C2211yescharacteristic
75#2797C2212yes—
76#2797C2212yes—
77#2796C2212yes—
78#2796C2211yescharacteristic
79#2793C2212yes—
80#2793C2212yes—
81#2787C2211yescharacteristic
82#2787C2212yes—
83#2787C2212yes—
84#2787C2212yes—
85#2787C2212yes—
86#2786C2212yes—
87#2786C2212yes—
88#2780C2212yes—
89#2780C2212yes—
90#2779C2211yescharacteristic
91#2777C2211yescharacteristic
92#2773C2212yes—
93#2772C2211yescharacteristic
94#2772C2212yes—
95#2771C2212yes—
96#2771C2212yes—
97#2757C2211yescharacteristic
98#2754C2212yes—
99#2753C2211yescharacteristic
100#2752C2212yes—
101#2750C2212yes—
102#2750C2212yes—
103#2732C2212yes—
104#2731C2212yes—
105#2730C2212yes—
106#2729C2212yes—
107#2728C2212yes—
108#2728C2212yes—
109#2725C2212yes—
110#2725C2211yescharacteristic
111#2725C2212yes—
112#2724C2212yes—
113#2714C2211yescharacteristic
114#2714C2212yes—
115#2711C2211yescharacteristic
116#2711C2212yes—
117#2711C2212yes—
118#2708C2212yes—
119#2708C2212yes—
120#2708C2212yes—
121#2707C2212yes—
122#2705C2212yes—
123#2691C2212yes—
124#2691C2212yes—
125#2689C2212yes—
126#2688C2212yes—
127#2682C2212yes—
128#2681C2212yes—
129#2681C2212yes—
130#2661C2212yes—
131#2661C2212yes—
132#2651C2212yes—
133#2651C2212yes—
134#2651C2212yes—
135#2650C2212yes—
136#2644C2211yescharacteristic
137#2629C2211yescharacteristic
138#2625C2211yescharacteristic
139#2624C2211yescharacteristic
140#2620C2211yescharacteristic
141#2620C2211yescharacteristic
142#2602C2212yes—
143#2602C2212yes—
144#2601C2212yes—
145#2601C2212yes—
146#2600C2212yes—
147#2597C2212yes—
148#2595C2212yes—
149#2595C2212yes—
150#2595C2212yes—
151#2595C2212yes—
152#2595C2212yes—
153#2594C2212yes—
154#2593C2212yes—
155#2593C2212yes—
156#2587C2212yes—
157#2585C2212yes—
158#2580C2212yes—
159#2578C2212yes—
160#2577C2212yes—
161#2576C2212yes—
162#2576C2212yes—
163#2576C2212yes—
164#2576C2212yes—
165#2575C2212yes—
166#2573C2212yes—
167#2572C2212yes—
168#2570C2212yes—
169#2566C2211yescharacteristic
170#2565C2212yes—
171#2565C2212yes—
172#2562C2211yescharacteristic
173#2560C2212yes—
174#2560C2212yes—
175#2560C2212yes—
176#2560C2212yes—
177#2559C2212yes—
178#2559C2212yes—
179#2559C2212yes—
180#2559C2212yes—
181#2558C2212yes—
182#2558C2212yes—
183#2558C2212yes—
184#2558C2212yes—
185#2558C2212yes—
186#2558C2212yes—
187#2558C2212yes—
188#2554C2212yes—
189#2554C2212yes—
190#2554C2212yes—
191#2554C2212yes—
192#2554C2212yes—
193#2554C2212yes—
194#2554C2212yes—
195#2554C2212yes—
196#2552C2211yescharacteristic
197#2552C2212yes—
198#2552C2211yescharacteristic
199#2552C2211yescharacteristic
200#2552C2211yescharacteristic
201#2544C2211yescharacteristic
202#2543C2212yes—
203#2543C2212yes—
204#2541C2211yescharacteristic
205#2540C2211yescharacteristic
206#2540C2211yescharacteristic
207#2538C2212yes—
208#2535C2212yes—
209#2531C2212yes—
210#2531C2212yes—
211#2530C2212yes—
212#2529C2212yes—
213#2529C2212yes—
214#2528C2212yes—
215#2526C2212yes—
216#2526C2212yes—
217#2526C2212yes—
218#2525C2212yes—
219#2524C2212yes—
220#2520C2212yes—
221#2519C2212yes—
222#2519C2212yes—
223#2519C2212yes—
224#2519C2212yes—
225#2519C2212yes—
226#2518C2212yes—
227#2518C2212yes—
228#2516C2212yes—
229#2516C2212yes—
230#2516C2212yes—
231#2515C2212yes—
232#2514C2211yescharacteristic
233#2513C2212yes—
234#2513C2212yes—
235#2512C2212yes—
236#2512C2211yescharacteristic
237#2512C2212yes—
238#2512C2211yescharacteristic
239#2512C2212yes—
240#2512C2212yes—
241#2511C2211yescharacteristic
242#2508C2211yescharacteristic
243#2508C2212yes—
244#2508C2211yescharacteristic
245#2506C2211yescharacteristic
246#2506C2212yes—
247#2506C2211yescharacteristic
248#2500C2212yes—
249#2500C2212yes—
250#2497C2211yescharacteristic
251#2496C2211yescharacteristic
252#2496C2212yes—
253#2496C2211yescharacteristic
254#2494C2212yes—
255#2494C2211yescharacteristic
256#2492C2211yescharacteristic
257#2491C2211yescharacteristic
258#2490C2211yescharacteristic
259#2490C2211yescharacteristic
260#2490C2211yescharacteristic
261#2490C2211yescharacteristic
262#2490C2211yescharacteristic
263#2490C2212yes—
264#2490C2212yes—
265#2490C2212yes—
266#2490C2211yescharacteristic
267#2489C2211yescharacteristic
268#2489C2212yes—
269#2489C2211yescharacteristic
270#2487C2211yescharacteristic
271#2486C2211yescharacteristic
272#2478C2212yes—
273#2476C2212yes—
274#2469C2212yes—
275#2467C2212yes—
276#2466C2212yes—
277#2466C2212yes—
278#2466C2212yes—
279#2461C2212yes—
280#2459C2212yes—
281#2459C2212yes—
282#2453C2211yescharacteristic
283#2452C2211yescharacteristic
284#2448C2212yes—
285#2448C2211yescharacteristic
286#2447C2211yescharacteristic
287#2445C2212yes—
288#2445C2212yes—
289#2445C2211yescharacteristic
290#2445C2211yescharacteristic
291#2445C2212yes—
292#2445C2212yes—
293#2442C2211yescharacteristic
294#2440C2211yescharacteristic
295#2432C2212yes—
296#2431C2212yes—
297#2429C2212yes—
298#2428C2211yescharacteristic
299#2426C2212yes—
300#2426C2211yescharacteristic
301#2421C2211yescharacteristic
302#2420C2211yescharacteristic
303#2417C2211yescharacteristic
304#2416C2211yescharacteristic
305#2416C2211yescharacteristic
306#2416C2211yescharacteristic
307#2415C2211yescharacteristic
308#2415C2211yescharacteristic
309#2414C2211yescharacteristic
310#2414C2211yescharacteristic
311#2407C2212yes—
312#2407C2212yes—
313#2402C2212yes—
314#2402C2212yes—
315#2401C2211yescharacteristic
316#2401C2212yes—
317#2401C2212yes—
318#2395C2211yescharacteristic
319#2395C2211yescharacteristic
320#2395C2212yes—
321#2395C2212yes—
322#2392C2211yescharacteristic
323#2392C2211yescharacteristic
324#2392C2211yescharacteristic
325#2374C2212yes—
326#2374C2212yes—
327#2374C2212yes—
328#2374C2212yes—
329#2374C2212yes—
330#2373C2212yes—
331#2373C2212yes—
332#2373C2212yes—
333#2373C2212yes—
334#2373C2212yes—
335#2373C2212yes—
336#2372C2212yes—
337#2370C2211yescharacteristic
338#2370C2212yes—
339#2370C2211yescharacteristic
340#2370C2211yescharacteristic
341#2370C2211yescharacteristic
342#2370C2212yes—
343#2370C2211yescharacteristic
344#2370C2212yes—
345#2370C2211yescharacteristic
346#2370C2212yes—
347#2370C2211yescharacteristic
348#2369C2211yescharacteristic
349#2369C2211yescharacteristic
350#2369C2211yescharacteristic
351#2369C2212yes—
352#2367C2211yescharacteristic
353#2367C2212yes—
354#2367C2211yescharacteristic
355#2367C2211yescharacteristic
356#2366C2211yescharacteristic
357#2365C2211yescharacteristic
358#2365C2212yes—
359#2365C2211yescharacteristic
360#2363C2211yescharacteristic
361#2363C2211yescharacteristic
362#2363C2211yescharacteristic
363#2363C2212yes—
364#2363C2211yescharacteristic
365#2363C2212yes—
366#2363C2211yescharacteristic
367#2363C2211yescharacteristic
368#2362C2212yes—
369#2362C2211yescharacteristic
370#2362C2211yescharacteristic
371#2361C2211yescharacteristic
372#2361C2211yescharacteristic
373#2361C2211yescharacteristic
374#2360C2211yescharacteristic
375#2360C2211yescharacteristic
376#2360C2211yescharacteristic
377#2359C2212yes—
378#2357C2212yes—
379#2357C2212yes—
380#2357C2211yescharacteristic
381#2357C2211yescharacteristic
382#2355C2211yescharacteristic
383#2354C2211yescharacteristic
384#2354C2211yescharacteristic
385#2354C2211yescharacteristic
386#2354C2211yescharacteristic
387#2352C2211yescharacteristic
388#2352C2211yescharacteristic
389D4×C4⋊C4C2211yescharacteristic
390#2347C2211yescharacteristic
391#2346C2211yescharacteristic
392#2346C2211yescharacteristic
393#2345C2211yescharacteristic
394#2345C2211yescharacteristic
395#2344C2211yescharacteristic
396#2343C2212yes—
397#2341C2212yes—
398#2336C2212yes—
399#2335C2212yes—
400#2335C2212yes—
401#2335C2212yes—
402#2334C2212yes—
403#2334C2212yes—
404#2334C2212yes—
405#2333C2212yes—
406#2333C2212yes—
407#2332C2212yes—
408#2330C2211yescharacteristic
409#2329C2212yes—
410#2329C2212yes—
411#2324C2211yescharacteristic
412#2324C2211yescharacteristic
413#2324C2211yescharacteristic
414#2324C2211yescharacteristic
415#2324C2211yescharacteristic
416#2324C2211yescharacteristic
417#2323C2211yescharacteristic
418#2319C2211yescharacteristic
419#2316C2211yescharacteristic
420C4×C4⋊Q8C2211yescharacteristic
421C4×#125C2211yescharacteristic
422C4×#125C2211yescharacteristic
423C4×#125C2211yescharacteristic
424C4×#126C2211yescharacteristic
425C4×C22⋊Q8C2211yescharacteristic
426C4×C22⋊Q8C2212yes—
427C4×C22⋊Q8C2212yes—
428C4×C22⋊Q8C2212yes—
429C4×C22⋊Q8C2212yes—
430C4×#123C2212yes—
431C4×#123C2212yes—
432C4×#123C2212yes—
433C4×#123C2212yes—
434C4×#123C2212yes—
435C4×#123C2212yes—
436C4×#121C2211yescharacteristic
437C4×#121C2212yes—
438#2298C2211yescharacteristic
439#2297C2212yes—
440#2296C2212yes—
441#2296C2211yescharacteristic
442#2296C2211yescharacteristic
443#2295C2211yescharacteristic
444#2293C2211yescharacteristic
445#2293C2211yescharacteristic
446#2293C2211yescharacteristic
447#2290C2211yescharacteristic
448#2290C2212yes—
449#2290C2212yes—
450#2276C2211yescharacteristic
451#2274C2211yescharacteristic
452#2274C2211yescharacteristic
453#2274C2211yescharacteristic
454#2274C2211yescharacteristic
455#2274C2211yescharacteristic
456C42×D4C2211yescharacteristic
457C42×D4C2211yescharacteristic
458C2×C4×C4⋊C4C2211yescharacteristic
459C22×#41C2312yes—
460#553—28no—
461#553—28no—
462#552—28no—
463#547—28no—
464#544—28no—
465#542—28no—
466C2×C4⋊Q8C2312yes—
467C2×C4⋊Q8C2311yescharacteristic
468C2×C4⋊Q8C2311yescharacteristic
469C2×#127C2311yescharacteristic
470C2×#127C2312yes—
471C2×#126C2312yes—
472C2×#126C2312yes—
473C2×#126C2312yes—
474C2×#126C2312yes—
475C2×#126C2311yescharacteristic
476C2×#126C2312yes—
477C2×#126C2312yes—
478C2×#126C2312yes—
479C2×#126C2312yes—
480C2×#126C2312yes—
481C2×#125C2311yescharacteristic
482C2×#125C2311yescharacteristic
483C2×#125C2311yescharacteristic
484C2×#125C2311yescharacteristic
485C2×#125C2312yes—
486C2×#125C2311yescharacteristic
487C2×#125C2312yes—
488C2×#125C2311yescharacteristic
489C2×#125C2312yes—
490C2×#125C2312yes—
491C2×#125C2312yes—
492C2×#124C2311yescharacteristic
493C2×#124C2312yes—
494C2×#124C2311yescharacteristic
495C2×#124C2312yes—
496C2×#123C2312yes—
497C2×#123C2312yes—
498C2×#123C2312yes—
499C2×#123C2312yes—
500C2×#123C2312yes—
501C2×#123C2312yes—
502C2×#123C2312yes—
503C2×#123C2312yes—
504C2×#123C2312yes—
505C2×C22⋊Q8C2312yes—
506C2×C22⋊Q8C2311yescharacteristic
507C2×C22⋊Q8C2312yes—
508C2×C22⋊Q8C2312yes—
509C2×C22⋊Q8C2311yescharacteristic
510C2×C22⋊Q8C2311yescharacteristic
511C2×C22⋊Q8C2312yes—
512C2×C22⋊Q8C2311yescharacteristic
513C2×C22⋊Q8C2312yes—
514C2×C22⋊Q8C2312yes—
515C2×#121C2311yescharacteristic
516C2×#121C2311yescharacteristic
517C2×#121C2311yescharacteristic
518C2×#121C2311yescharacteristic
519C2×#121C2311yescharacteristic
520C2×#121C2311yescharacteristic
521C2×#121C2312yes—
522C2×#121C2312yes—
523C2×#121C2311yescharacteristic
524C2×#121C2311yescharacteristic
525C2×#121C2312yes—
526C2×#121C2311yescharacteristic
527C2×#121C2312yes—
528C2×#121C2312yes—
529C2×#121C2312yes—
530C2×#121C2312yes—
531C2×#121C2312yes—
532C2×C4×Q8C2311yescharacteristic
533C2×C4×Q8C2311yescharacteristic
534C2×C4×Q8C2311yescharacteristic
535C2×C4×Q8C2312yes—
536C2×C4×Q8C2312yes—
537C2×C4×Q8C2312yes—
538C2×C4×D4C2311yescharacteristic
539C2×C4×D4C2311yescharacteristic
540C2×C4×D4C2311yescharacteristic
541C2×C4×D4C2312yes—
542C2×C4×D4C2312yes—
543C2×C4×D4C2311yescharacteristic
544C2×C4×D4C2311yescharacteristic
545C2×C4×D4C2311yescharacteristic
546C2×C4×D4C2311yescharacteristic
547C2×C4×D4C2311yescharacteristic
548C2×C4×D4C2311yescharacteristic
549C2×C4×D4C2311yescharacteristic
550C2×C4×D4C2311yescharacteristic
551C2×C4×D4C2311yescharacteristic
552C2×C4×D4C2312yes—
553C2×C4×D4C2312yes—
554C2×C4×D4C2312yes—
555C2×C4×D4C2312yes—
556C2×C4×D4C2312yes—
557C2×#117C2311yescharacteristic
558C2×#117C2311yescharacteristic
559C2×#117C2312yes—
560C2×#117C2311yescharacteristic
561C2×#117C2311yescharacteristic
562C2×#117C2311yescharacteristic
563C2×#117C2311yescharacteristic
564C2×#117C2311yescharacteristic
565C2×#117C2311yescharacteristic
566C2×#117C2311yescharacteristic
567C2×#117C2311yescharacteristic
568C2×#117C2312yes—
569C2×#117C2312yes—
570C22×C4⋊C4C2311yescharacteristic
571C22×C4⋊C4C2311yescharacteristic
572C22×C4⋊C4C2311yescharacteristic
573C22×C4⋊C4C2311yescharacteristic
574C22×C4⋊C4C2311yescharacteristic
575C22×C42C2311yescharacteristic
576C22×C42C2312yes—
577C22×C42C2312yes—
578C22×C42C2312yes—
579#401C2312yes—
580#401C2312yes—
581#401C2311yescharacteristic
582#400C2312yes—
583#400C2312yes—
584#400C2312yes—
585#400C2312yes—
586#400C2312yes—
587#400C2311yescharacteristic
588#400C2312yes—
589#400C2312yes—
590#400C2311yescharacteristic
591#400C2312yes—
592#400C2312yes—
593#400C2312yes—
594#400C2312yes—
595#400C2311yescharacteristic
596#400C2312yes—
597#400C2311yescharacteristic
598#400C2312yes—
599#400C2311yescharacteristic
600#400C2312yes—
601#400C2312yes—
602#400C2312yes—
603#400C2312yes—
604#400C2312yes—
605#400C2312yes—
606#399C2312yes—
607#399C2311yescharacteristic
608#399C2312yes—
609#399C2312yes—
610#399C2312yes—
611#399C2311yescharacteristic
612#399C2312yes—
613#398C2312yes—
614#398C2312yes—
615#398C2312yes—
616#398C2312yes—
617#398C2312yes—
618#398C2312yes—
619#398C2312yes—
620#398C2312yes—
621#398C2312yes—
622#398C2312yes—
623#398C2312yes—
624#398C2312yes—
625#398C2312yes—
626#398C2312yes—
627#398C2312yes—
628#398C2312yes—
629#398C2312yes—
630#398C2312yes—
631#398C2312yes—
632#398C2311yescharacteristic
633#398C2311yescharacteristic
634#398C2311yescharacteristic
635#398C2311yescharacteristic
636#398C2311yescharacteristic
637#398C2312yes—
638#397C2311yescharacteristic
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#397C2312yes—
644#397C2311yescharacteristic
645#397C2312yes—
646#397C2312yes—
647#397C2312yes—
648#397C2312yes—
649#397C2312yes—
650#397C2312yes—
651#397C2311yescharacteristic
652#397C2311yescharacteristic
653#397C2312yes—
654#397C2312yes—
655#397C2312yes—
656#397C2312yes—
657#397C2312yes—
658#397C2312yes—
659#397C2312yes—
660#397C2311yescharacteristic
661#397C2312yes—
662#397C2311yescharacteristic
663#397C2311yescharacteristic
664#397C2311yescharacteristic
665#397C2312yes—
666#397C2312yes—
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719#394C2312yes—
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725#394C2312yes—
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741#394C2312yes—
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748#393C2312yes—
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764#391C2312yes—
765#391C2312yes—
766#391C2312yes—
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794#390C2312yes—
795#390C2312yes—
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801#390C2312yes—
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805#390C2312yes—
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811#390C2312yes—
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821#390C2312yes—
822#390C2312yes—
823#390C2312yes—
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902#388C2312yes—
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904#388C2312yes—
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912#388C2312yes—
913#388C2312yes—
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921#388C2312yes—
922#388C2312yes—
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928#388C2312yes—
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932#388C2312yes—
933#388C2312yes—
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935#388C2312yes—
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939#388C2312yes—
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941#388C2312yes—
942#388C2312yes—
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1010#387C2312yes—
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1020#387C2312yes—
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1022#387C2312yes—
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1039#387C2312yes—
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1105#385C2312yes—
1106#385C2312yes—
1107#385C2312yes—
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1120#385C2312yes—
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1177C4×C4⋊C4C2312yes—
1178C4×C4⋊C4C2312yes—
1179C4×C4⋊C4C2312yes—
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1187C4×C4⋊C4C2312yes—
1188C4×C4⋊C4C2312yes—
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1196C4×C4⋊C4C2312yes—
1197C4×C4⋊C4C2312yes—
1198C4×C4⋊C4C2312yes—
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1203C4×C4⋊C4C2312yes—
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1206C4×C4⋊C4C2312yes—
1207C4×C4⋊C4C2312yes—
1208C4×C4⋊C4C2312yes—
1209C4×C4⋊C4C2312yes—
1210C4×C4⋊C4C2312yes—
1211C4×C4⋊C4C2312yes—
1212C4×C4⋊C4C2312yes—
1213C4×C4⋊C4C2312yes—
1214C4×C4⋊C4C2312yes—
1215C4×C4⋊C4C2312yes—
1216C4×C4⋊C4C2312yes—
1217C4×C4⋊C4C2312yes—
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1231C4×C4⋊C4C2312yes—
1232C4×C4⋊C4C2312yes—
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1244C4×C4⋊C4C2312yes—
1245C4×C4⋊C4C2312yes—
1246C4×C4⋊C4C2312yes—
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1255C4×C22⋊C4C2312yes—
1256C4×C22⋊C4C2312yes—
1257C4×C22⋊C4C2312yes—
1258C4×C22⋊C4C2312yes—
1259C4×C22⋊C4C2312yes—
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1261C4×C22⋊C4C2312yes—
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1263C4×C22⋊C4C2312yes—
1264C4×C22⋊C4C2312yes—
1265C4×C22⋊C4C2312yes—
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1270C4×C22⋊C4C2312yes—
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1272C4×C22⋊C4C2312yes—
1273C4×C22⋊C4C2312yes—
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1275C4×C22⋊C4C2312yes—
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1291C4×C22⋊C4C2312yes—
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1294#376C2312yes—
1295#376C2312yes—
1296#376C2312yes—
1297C2×#95C2312yes—
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1301C2×#41—82no—
1302C2×#41—82no—
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1305C22×Q8C2412yes—
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1310C22×D4C2412yes—
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1313C22×D4C2412yes—
1314C22×D4C2412yes—
1315C22×D4C2412yes—
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1320C22×D4C2412yes—
1321C22×D4C2411yescharacteristic
1322C22×D4C2412yes—
1323C22×D4C2412yes—
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1327C23×C4C2411yescharacteristic
1328C23×C4C2412yes—
1329C23×C4C2412yes—
1330C23×C4C2412yes—
1331C23×C4C2412yes—
1332C23×C4C2412yes—
1333C23×C4C2412yes—
1334C23×C4C2412yes—
1335C23×C4C2411yescharacteristic
1336C23×C4C2412yes—
1337C23×C4C2412yes—
1338C23×C4C2412yes—
1339C23×C4C2411yescharacteristic
1340C23×C4C2412yes—
1341C4⋊Q8—28no—
1342C4⋊Q8—24no—
1343C4⋊Q8#4118yes—
1344#127—42no—
1345#127—82no—
1346#126—28no—
1347#126—28no—
1348#126—28no—
1349#126—28no—
1350#126—42no—
1351#126—44no—
1352#126—82no—
1353#126—82no—
1354#126—82no—
1355#126—82no—
1356#125—28no—
1357#125—24no—
1358#125—28no—
1359#125—24no—
1360#125—24no—
1361#125—24no—
1362#125—24no—
1363#125—42no—
1364#125—44no—
1365#125—82no—
1366#125—82no—
1367#124—28no—
1368#124—24no—
1369#124—42no—
1370#124—82no—
1371#123—28no—
1372#123—28no—
1373#123—28no—
1374#123—28no—
1375#123—28no—
1376#123—28no—
1377#123—44no—
1378#123—44no—
1379#123—44no—
1380C22⋊Q8—28no—
1381C22⋊Q8—28no—
1382C22⋊Q8—28no—
1383C22⋊Q8—24no—
1384C22⋊Q8—24no—
1385C22⋊Q8—28no—
1386C22⋊Q8—24no—
1387C22⋊Q8—42no—
1388C22⋊Q8—82no—
1389C22⋊Q8—82no—
1390#121—28no—
1391#121—28no—
1392#121—24no—
1393#121—24no—
1394#121—24no—
1395#121—24no—
1396#121—24no—
1397#121—24no—
1398#121—24no—
1399#121—42no—
1400#121—44no—
1401#121—42no—
1402#121—82no—
1403#121—82no—
1404#121—82no—
1405#121—82no—
1406#121—82no—
1407C4×Q8—24no—
1408C4×Q8—24no—
1409C4×Q8—42no—
1410C4×Q8—82no—
1411C4×Q8—82no—
1412C4×Q8—82no—
1413C4×D4—24no—
1414C4×D4—28no—
1415C4×D4—28no—
1416C4×D4—24no—
1417C4×D4—24no—
1418C4×D4—24no—
1419C4×D4—24no—
1420C4×D4—24no—
1421C4×D4—24no—
1422C4×D4—24no—
1423C4×D4—42no—
1424C4×D4—42no—
1425C4×D4—42no—
1426C4×D4—42no—
1427C4×D4—82no—
1428C4×D4—82no—
1429C4×D4—82no—
1430C4×D4—82no—
1431C4×D4—82no—
1432#117—28no—
1433#117—24no—
1434#117—24no—
1435#117—24no—
1436#117—24no—
1437#117—24no—
1438#117—24no—
1439#117—42no—
1440#117—42no—
1441#117—42no—
1442#117—42no—
1443#117—82no—
1444#117—82no—
1445C2×C4⋊C4—24no—
1446C2×C4⋊C4—24no—
1447C2×C4⋊C4—24no—
1448C2×C4⋊C4—42no—
1449C2×C4⋊C4#4118yescomplemented
1450C2×C4⋊C4C2411yescharacteristic
1451C2×C4⋊C4C2411yescharacteristic
1452C2×C4⋊C4C2411yescharacteristic
1453C2×C4⋊C4C2412yes—
1454C2×C4⋊C4C2412yes—
1455C2×C4⋊C4C2411yescharacteristic
1456C2×C4⋊C4C2412yes—
1457C2×C4⋊C4C2411yescharacteristic
1458C2×C4⋊C4C2411yescharacteristic
1459C2×C4⋊C4C2411yescharacteristic
1460C2×C4⋊C4C2411yescharacteristic
1461C2×C4⋊C4C2411yescharacteristic
1462C2×C4⋊C4C2412yes—
1463C2×C4⋊C4C2411yescharacteristic
1464C2×C4⋊C4C2411yescharacteristic
1465C2×C4⋊C4C2412yes—
1466C2×C4⋊C4C2411yescharacteristic
1467C2×C4⋊C4C2411yescharacteristic
1468C2×C4⋊C4C2411yescharacteristic
1469C2×C4⋊C4C2412yes—
1470C2×C4⋊C4C2412yes—
1471C2×C4⋊C4C2411yescharacteristic
1472C2×C4⋊C4C2411yescharacteristic
1473C2×C4⋊C4C2411yescharacteristic
1474C2×C4⋊C4C2412yes—
1475C2×C4⋊C4C2412yes—
1476C2×C4⋊C4C2412yes—
1477C2×C4⋊C4C2412yes—
1478C2×C4⋊C4C2411yescharacteristic
1479C2×C4⋊C4C2412yes—
1480C2×C4⋊C4C2412yes—
1481C2×C4⋊C4C2412yes—
1482C2×C4⋊C4C2412yes—
1483C2×C4⋊C4C2412yes—
1484C2×C4⋊C4C2412yes—
1485C2×C4⋊C4C2412yes—
1486C2×C4⋊C4C2412yes—
1487C2×C4⋊C4C2412yes—
1488C2×C4⋊C4C2411yescharacteristic
1489C2×C4⋊C4C2412yes—
1490C2×C4⋊C4C2411yescharacteristic
1491C2×C4⋊C4C2412yes—
1492C2×C4⋊C4C2411yescharacteristic
1493C2×C4⋊C4C2412yes—
1494C2×C4⋊C4C2411yescharacteristic
1495C2×C4⋊C4C2412yes—
1496C2×C4⋊C4C2412yes—
1497C2×C4⋊C4C2412yes—
1498C2×C4⋊C4C2411yescharacteristic
1499C2×C4⋊C4C2411yescharacteristic
1500C2×C4⋊C4C2411yescharacteristic
1501C2×C4⋊C4C2411yescharacteristic
1502C2×C4⋊C4C2411yescharacteristic
1503C2×C4⋊C4C2411yescharacteristic
1504C2×C4⋊C4C2411yescharacteristic
1505C2×C4⋊C4C2412yes—
1506C2×C4⋊C4C2412yes—
1507C2×C4⋊C4C2411yescharacteristic
1508C2×C4⋊C4C2411yescharacteristic
1509C2×C4⋊C4C2412yes—
1510C2×C4⋊C4C2411yescharacteristic
1511C2×C4⋊C4C2411yescharacteristic
1512C2×C4⋊C4C2412yes—
1513C2×C4⋊C4C2412yes—
1514C2×C4⋊C4C2412yes—
1515C2×C4⋊C4C2412yes—
1516C2×C4⋊C4C2412yes—
1517C2×C4⋊C4C2412yes—
1518C2×C4⋊C4C2412yes—
1519C2×C4⋊C4C2412yes—
1520C2×C4⋊C4C2411yescharacteristic
1521C2×C4⋊C4C2412yes—
1522C2×C4⋊C4C2412yes—
1523C2×C4⋊C4C2412yes—
1524C2×C4⋊C4C2412yes—
1525C2×C4⋊C4C2412yes—
1526C2×C4⋊C4C2411yescharacteristic
1527C2×C4⋊C4C2412yes—
1528C2×C4⋊C4C2411yescharacteristic
1529C2×C4⋊C4C2412yes—
1530C2×C4⋊C4C2412yes—
1531C2×C4⋊C4C2412yes—
1532C2×C4⋊C4C2412yes—
1533C2×C4⋊C4C2411yescharacteristic
1534C2×C4⋊C4C2411yescharacteristic
1535C2×C4⋊C4C2412yes—
1536C2×C4⋊C4C2411yescharacteristic
1537C2×C4⋊C4C2412yes—
1538C2×C4⋊C4C2412yes—
1539C2×C4⋊C4C2411yescharacteristic
1540C2×C4⋊C4C2411yescharacteristic
1541C2×C4⋊C4C2412yes—
1542C2×C4⋊C4C2411yescharacteristic
1543C2×C4⋊C4C2411yescharacteristic
1544C2×C4⋊C4C2411yescharacteristic
1545C2×C4⋊C4C2411yescharacteristic
1546C2×C4⋊C4C2412yes—
1547C2×C4⋊C4C2411yescharacteristic
1548C2×C4⋊C4C2411yescharacteristic
1549C2×C4⋊C4C2411yescharacteristic
1550C2×C4⋊C4C2411yescharacteristic
1551C2×C4⋊C4C2412yes—
1552C2×C4⋊C4C2412yes—
1553C2×C22⋊C4C2411yescharacteristic
1554C2×C22⋊C4C2412yes—
1555C2×C22⋊C4C2412yes—
1556C2×C22⋊C4C2411yescharacteristic
1557C2×C22⋊C4C2412yes—
1558C2×C22⋊C4C2411yescharacteristic
1559C2×C22⋊C4C2412yes—
1560C2×C22⋊C4C2411yescharacteristic
1561C2×C22⋊C4C2412yes—
1562C2×C22⋊C4C2411yescharacteristic
1563C2×C22⋊C4C2411yescharacteristic
1564C2×C22⋊C4C2411yescharacteristic
1565C2×C22⋊C4C2412yes—
1566C2×C22⋊C4C2412yes—
1567C2×C22⋊C4C2412yes—
1568C2×C22⋊C4C2412yes—
1569C2×C22⋊C4C2411yescharacteristic
1570C2×C22⋊C4C2411yescharacteristic
1571C2×C22⋊C4C2412yes—
1572C2×C22⋊C4C2411yescharacteristic
1573C2×C22⋊C4C2411yescharacteristic
1574C2×C22⋊C4C2412yes—
1575C2×C22⋊C4C2411yescharacteristic
1576C2×C22⋊C4C2412yes—
1577C2×C22⋊C4C2412yes—
1578C2×C22⋊C4C2412yes—
1579C2×C22⋊C4C2412yes—
1580C2×C22⋊C4C2412yes—
1581C2×C22⋊C4C2412yes—
1582C2×C22⋊C4C2412yes—
1583C2×C22⋊C4C2412yes—
1584C2×C22⋊C4C2412yes—
1585C2×C22⋊C4C2411yescharacteristic
1586C2×C22⋊C4C2411yescharacteristic
1587C2×C22⋊C4C2412yes—
1588C2×C22⋊C4C2412yes—
1589C2×C22⋊C4C2412yes—
1590C2×C22⋊C4C2411yescharacteristic
1591C2×C22⋊C4C2412yes—
1592C2×C22⋊C4C2411yescharacteristic
1593C2×C22⋊C4C2411yescharacteristic
1594C2×C22⋊C4C2411yescharacteristic
1595C2×C22⋊C4C2411yescharacteristic
1596C2×C22⋊C4C2411yescharacteristic
1597C2×C22⋊C4C2411yescharacteristic
1598C2×C22⋊C4C2411yescharacteristic
1599C2×C22⋊C4C2411yescharacteristic
1600C2×C22⋊C4C2412yes—
1601C2×C22⋊C4C2412yes—
1602C2×C22⋊C4C2412yes—
1603C2×C22⋊C4C2412yes—
1604C2×C22⋊C4C2412yes—
1605C2×C22⋊C4C2412yes—
1606C2×C22⋊C4C2412yes—
1607C2×C22⋊C4C2412yes—
1608C2×C22⋊C4C2411yescharacteristic
1609C2×C22⋊C4C2411yescharacteristic
1610C2×C22⋊C4C2411yescharacteristic
1611C2×C22⋊C4C2411yescharacteristic
1612C2×C22⋊C4C2411yescharacteristic
1613C2×C22⋊C4C2412yes—
1614C2×C22⋊C4C2412yes—
1615C2×C22⋊C4C2412yes—
1616C2×C22⋊C4C2412yes—
1617C2×C22⋊C4C2412yes—
1618C2×C22⋊C4C2412yes—
1619C2×C22⋊C4C2412yes—
1620C2×C22⋊C4C2412yes—
1621C2×C22⋊C4C2411yescharacteristic
1622C2×C22⋊C4C2412yes—
1623C2×C22⋊C4C2412yes—
1624C2×C22⋊C4C2412yes—
1625C2×C22⋊C4C2411yescharacteristic
1626C2×C22⋊C4C2411yescharacteristic
1627C2×C22⋊C4C2412yes—
1628C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1639C2×C22⋊C4C2412yes—
1640C2×C22⋊C4C2412yes—
1641C2×C22⋊C4C2411yescharacteristic
1642C2×C22⋊C4C2411yescharacteristic
1643C2×C22⋊C4C2412yes—
1644C2×C22⋊C4C2411yescharacteristic
1645C2×C22⋊C4C2412yes—
1646C2×C22⋊C4C2411yescharacteristic
1647C2×C22⋊C4C2411yescharacteristic
1648C2×C22⋊C4C2411yescharacteristic
1649C2×C22⋊C4C2411yescharacteristic
1650C2×C22⋊C4C2412yes—
1651C2×C22⋊C4C2412yes—
1652C2×C22⋊C4C2411yescharacteristic
1653C2×C22⋊C4C2411yescharacteristic
1654C2×C22⋊C4C2411yescharacteristic
1655C2×C22⋊C4C2412yes—
1656C2×C42—42no—
1657C2×C42—82no—
1658C2×C42—82no—
1659C2×C42—82no—
1660C2×C42C2411yescharacteristic
1661C2×C42C2411yescharacteristic
1662C2×C42C2412yes—
1663C2×C42C2411yescharacteristic
1664C2×C42C2411yescharacteristic
1665C2×C42C2412yes—
1666C2×C42C2412yes—
1667C2×C42C2412yes—
1668C2×C42C2411yescharacteristic
1669C2×C42C2411yescharacteristic
1670C2×C42C2412yes—
1671C2×C42C2411yescharacteristic
1672C2×C42C2411yescharacteristic
1673C2×C42C2411yescharacteristic
1674C2×C42C2411yescharacteristic
1675C2×C42C2412yes—
1676C2×C42C2412yes—
1677C2×C42C2412yes—
1678C2×C42C2412yes—
1679C2×C42C2412yes—
1680C2×C42C2412yes—
1681C2×C42C2412yes—
1682C2×C42C2412yes—
1683C2×C42C2412yes—
1684C2×C42C2412yes—
1685C2×C42C2411yescharacteristic
1686C2×C42C2412yes—
1687C2×C42C2412yes—
1688C2×C42C2412yes—
1689C2×C42C2412yes—
1690C2×C42C2412yes—
1691C2×C42C2412yes—
1692C2×C42C2412yes—
1693C2×C42C2412yes—
1694C2×C42C2411yescharacteristic
1695C2×C42C2412yes—
1696C2×C42C2411yescharacteristic
1697C2×C42C2411yescharacteristic
1698C2×C42C2412yes—
1699C2×C42C2412yes—
1700C2×C42C2412yes—
1701C2×C42C2411yescharacteristic
1702C2×C42C2411yescharacteristic
1703C2×C42C2411yescharacteristic
1704C2×C42C2411yescharacteristic
1705C2×C42C2412yes—
1706C2×C42C2412yes—
1707C2×C42C2412yes—
1708C2×C42C2412yes—
1709C2×C42C2411yescharacteristic
1710C2×C42C2411yescharacteristic
1711C2×C42C2411yescharacteristic
1712#95C2412yes—
1713#95C2412yes—
1714#95C2412yes—
1715#95C2412yes—
1716#95C2411yescharacteristic
1717#95C2411yescharacteristic
1718#95C2411yescharacteristic
1719#95C2412yes—
1720#95C2412yes—
1721#95C2412yes—
1722#95C2412yes—
1723#95C2412yes—
1724#95C2412yes—
1725#95C2411yescharacteristic
1726#95C2411yescharacteristic
1727#95C2412yes—
1728#95C2411yescharacteristic
1729#95C2412yes—
1730#95C2412yes—
1731#95C2412yes—
1732#95C2412yes—
1733#95C2412yes—
1734#95C2412yes—
1735#95C2412yes—
1736#95C2412yes—
1737#95C2411yescharacteristic
1738#95C2411yescharacteristic
1739#95C2411yescharacteristic
1740#95C2411yescharacteristic
1741#95C2411yescharacteristic
1742#95C2411yescharacteristic
1743#95C2412yes—
1744#95C2412yes—
1745#95C2412yes—
1746#95C2411yescharacteristic
1747#95C2412yes—
1748#95C2412yes—
1749#95C2411yescharacteristic
1750#95C2411yescharacteristic
1751#95C2412yes—
1752#95C2412yes—
1753#95C2411yescharacteristic
1754#95C2412yes—
1755#95C2411yescharacteristic
1756#95C2412yes—
1757#95C2412yes—
1758#95C2412yes—
1759#95C2412yes—
1760#95C2412yes—
1761#95C2412yes—
1762#95C2412yes—
1763#95C2412yes—
1764#95C2411yescharacteristic
1765#95C2411yescharacteristic
1766#95C2412yes—
1767#95C2412yes—
1768#95C2412yes—
1769#95C2412yes—
1770#95C2412yes—
1771#95C2412yes—
1772#95C2412yes—
1773#95C2411yescharacteristic
1774#95C2412yes—
1775#95C2412yes—
1776#95C2411yescharacteristic
1777#95C2411yescharacteristic
1778#95C2411yescharacteristic
1779#95C2411yescharacteristic
1780#95C2412yes—
1781#95C2412yes—
1782#95C2411yescharacteristic
1783#95C2412yes—
1784#95C2412yes—
1785#95C2411yescharacteristic
1786#95C2411yescharacteristic
1787#95C2411yescharacteristic
1788#95C2411yescharacteristic
1789#95C2411yescharacteristic
1790#95C2411yescharacteristic
1791#95C2412yes—
1792#95C2411yescharacteristic
1793#95C2412yes—
1794#95C2411yescharacteristic
1795#95C2411yescharacteristic
1796#95C2412yes—
1797#95C2411yescharacteristic
1798#95C2411yescharacteristic
1799#95C2412yes—
1800#95C2412yes—
1801#95C2412yes—
1802#95C2412yes—
1803#95C2412yes—
1804#95C2412yes—
1805#95C2412yes—
1806#95C2412yes—
1807#95C2412yes—
1808#95C2412yes—
1809#95C2412yes—
1810#95C2412yes—
1811#95C2412yes—
1812#95C2412yes—
1813#95C2411yescharacteristic
1814#95C2412yes—
1815#95C2411yescharacteristic
1816#95C2412yes—
1817#95C2411yescharacteristic
1818#95C2411yescharacteristic
1819#95C2411yescharacteristic
1820#95C2411yescharacteristic
1821#95C2411yescharacteristic
1822#95C2411yescharacteristic
1823#95C2412yes—
1824#95C2412yes—
1825#95C2412yes—
1826#95C2412yes—
1827C24C2511yescharacteristic
1828C24C2512yes—
1829C24C2511yescharacteristic
1830C24C2512yes—
1831C24C2511yescharacteristic
1832C24C2511yescharacteristic
1833#41—816no—
1834C2×Q8—22no—
1835C2×Q8—22no—
1836C2×Q8—24no—
1837C2×Q8—22no—
1838C2×Q8—42no—
1839C2×Q8—42no—
1840C2×Q8—42no—
1841C2×Q8—42no—
1842C2×Q8C2×#4118yes—
1843C2×D4—22no—
1844C2×D4—24no—
1845C2×D4—24no—
1846C2×D4—22no—
1847C2×D4—22no—
1848C2×D4—22no—
1849C2×D4—22no—
1850C2×D4—22no—
1851C2×D4—22no—
1852C2×D4—22no—
1853C2×D4—24no—
1854C2×D4—24no—
1855C2×D4—24no—
1856C2×D4—24no—
1857C2×D4—24no—
1858C2×D4—22no—
1859C2×D4—22no—
1860C2×D4—22no—
1861C2×D4—24no—
1862C2×D4—41no—
1863C2×D4—41no—
1864C2×D4—41no—
1865C2×D4—41no—
1866C2×D4—41no—
1867C2×D4—41no—
1868C2×D4—42no—
1869C2×D4—42no—
1870C2×D4—42no—
1871C2×D4—42no—
1872C2×D4—42no—
1873C2×D4—41no—
1874C2×D4—41no—
1875C2×D4—42no—
1876C2×D4—42no—
1877C2×D4—42no—
1878C2×D4—41no—
1879C2×D4—41no—
1880C2×D4—42no—
1881C2×D4—41no—
1882C2×D4—42no—
1883C2×D4—42no—
1884C2×D4—42no—
1885C2×D4—42no—
1886C2×D4—41no—
1887C2×D4—42no—
1888C2×D4—42no—
1889C2×D4—42no—
1890C2×D4—41no—
1891C2×D4—42no—
1892C2×D4—42no—
1893C2×D4—42no—
1894C2×D4—42no—
1895C2×D4—42no—
1896C2×D4—42no—
1897C22×C4—22no—
1898C22×C4—22no—
1899C22×C4—22no—
1900C22×C4—22no—
1901C22×C4—22no—
1902C22×C4—22no—
1903C22×C4—22no—
1904C22×C4—22no—
1905C22×C4—24no—
1906C22×C4—22no—
1907C22×C4—22no—
1908C22×C4—22no—
1909C22×C4—22no—
1910C22×C4—24no—
1911C22×C4—24no—
1912C22×C4—24no—
1913C22×C4—24no—
1914C22×C4—24no—
1915C22×C4—24no—
1916C22×C4—41no—
1917C22×C4—41no—
1918C22×C4—42no—
1919C22×C4—42no—
1920C22×C4—42no—
1921C22×C4—42no—
1922C22×C4—41no—
1923C22×C4—42no—
1924C22×C4—42no—
1925C22×C4—42no—
1926C22×C4—42no—
1927C22×C4—42no—
1928C22×C4—42no—
1929C22×C4—42no—
1930C22×C4—42no—
1931C22×C4—42no—
1932C22×C4—42no—
1933C22×C4—42no—
1934C22×C4—41no—
1935C22×C4—42no—
1936C22×C4—42no—
1937C22×C4—42no—
1938C22×C4—42no—
1939C22×C4—42no—
1940C22×C4—42no—
1941C22×C4—42no—
1942C22×C4—41no—
1943C22×C4—42no—
1944C22×C4—42no—
1945C22×C4—42no—
1946C22×C4C2×#4114yes—
1947C22×C4C2×#4118yes—
1948C22×C4C2511yescharacteristic
1949C22×C4C2511yescharacteristic
1950C22×C4C2511yescharacteristic
1951C22×C4C2511yescharacteristic
1952C22×C4C2511yescharacteristic
1953C22×C4C2511yescharacteristic
1954C22×C4C2511yescharacteristic
1955C22×C4C2512yes—
1956C22×C4C2512yes—
1957C22×C4C2512yes—
1958C22×C4C2511yescharacteristic
1959C22×C4C2512yes—
1960C22×C4C2512yes—
1961C22×C4C2511yescharacteristic
1962C22×C4C2511yescharacteristic
1963C22×C4C2512yes—
1964C22×C4C2511yescharacteristic
1965C22×C4C2511yescharacteristic
1966C22×C4C2511yescharacteristic
1967C22×C4C2511yescharacteristic
1968C22×C4C2511yescharacteristic
1969C22×C4C2511yescharacteristic
1970C22×C4C2511yescharacteristic
1971C22×C4C2511yescharacteristic
1972C22×C4C2512yes—
1973C22×C4C2511yescharacteristic
1974C22×C4C2511yescharacteristic
1975C22×C4C2512yes—
1976C22×C4C2512yes—
1977C22×C4C2511yescharacteristic
1978C22×C4C2512yes—
1979C22×C4C2511yescharacteristic
1980C22×C4C2512yes—
1981C22×C4C2512yes—
1982C22×C4C2512yes—
1983C22×C4C2511yescharacteristic
1984C22×C4C2512yes—
1985C22×C4C2511yescharacteristic
1986C22×C4C2511yescharacteristic
1987C22×C4C2511yescharacteristic
1988C22×C4C2511yescharacteristic
1989C4⋊C4—22no—
1990C4⋊C4—24no—
1991C4⋊C4—24no—
1992C4⋊C4—24no—
1993C4⋊C4—22no—
1994C4⋊C4—22no—
1995C4⋊C4—22no—
1996C4⋊C4—22no—
1997C4⋊C4—24no—
1998C4⋊C4—22no—
1999C4⋊C4—22no—
2000C4⋊C4—22no—
2001C4⋊C4—24no—
2002C4⋊C4—22no—
2003C4⋊C4—22no—
2004C4⋊C4—22no—
2005C4⋊C4—24no—
2006C4⋊C4—24no—
2007C4⋊C4—22no—
2008C4⋊C4—22no—
2009C4⋊C4—22no—
2010C4⋊C4—24no—
2011C4⋊C4—24no—
2012C4⋊C4—24no—
2013C4⋊C4—24no—
2014C4⋊C4—24no—
2015C4⋊C4—24no—
2016C4⋊C4—24no—
2017C4⋊C4—24no—
2018C4⋊C4—24no—
2019C4⋊C4—24no—
2020C4⋊C4—24no—
2021C4⋊C4—24no—
2022C4⋊C4—22no—
2023C4⋊C4—22no—
2024C4⋊C4—22no—
2025C4⋊C4—24no—
2026C4⋊C4—22no—
2027C4⋊C4—22no—
2028C4⋊C4—24no—
2029C4⋊C4—22no—
2030C4⋊C4—24no—
2031C4⋊C4—22no—
2032C4⋊C4—42no—
2033C4⋊C4—41no—
2034C4⋊C4—41no—
2035C4⋊C4—41no—
2036C4⋊C4—42no—
2037C4⋊C4—41no—
2038C4⋊C4—41no—
2039C4⋊C4—41no—
2040C4⋊C4—41no—
2041C4⋊C4—41no—
2042C4⋊C4—41no—
2043C4⋊C4—41no—
2044C4⋊C4—42no—
2045C4⋊C4—42no—
2046C4⋊C4—42no—
2047C4⋊C4—41no—
2048C4⋊C4—41no—
2049C4⋊C4—41no—
2050C4⋊C4—42no—
2051C4⋊C4—42no—
2052C4⋊C4—42no—
2053C4⋊C4—41no—
2054C4⋊C4—42no—
2055C4⋊C4—41no—
2056C4⋊C4—42no—
2057C4⋊C4—42no—
2058C4⋊C4—42no—
2059C4⋊C4—42no—
2060C4⋊C4—42no—
2061C4⋊C4—42no—
2062C4⋊C4—42no—
2063C4⋊C4—42no—
2064C4⋊C4—41no—
2065C4⋊C4—42no—
2066C4⋊C4—42no—
2067C4⋊C4—42no—
2068C4⋊C4—42no—
2069C4⋊C4—41no—
2070C4⋊C4—42no—
2071C4⋊C4—42no—
2072C4⋊C4—41no—
2073C4⋊C4—41no—
2074C4⋊C4—42no—
2075C4⋊C4—41no—
2076C4⋊C4—41no—
2077C4⋊C4—42no—
2078C4⋊C4—42no—
2079C4⋊C4—42no—
2080C4⋊C4—42no—
2081C4⋊C4—41no—
2082C4⋊C4—42no—
2083C4⋊C4—42no—
2084C4⋊C4—41no—
2085C4⋊C4—41no—
2086C4⋊C4C2×#4114yes—
2087C4⋊C4C2×#4114yes—
2088C4⋊C4C2×#4114yes—
2089C4⋊C4C2×#4114yes—
2090C4⋊C4C2×#4118yes—
2091C4⋊C4C2×#4118yes—
2092C22⋊C4—22no—
2093C22⋊C4—24no—
2094C22⋊C4—22no—
2095C22⋊C4—22no—
2096C22⋊C4—24no—
2097C22⋊C4—24no—
2098C22⋊C4—24no—
2099C22⋊C4—22no—
2100C22⋊C4—22no—
2101C22⋊C4—22no—
2102C22⋊C4—24no—
2103C22⋊C4—22no—
2104C22⋊C4—24no—
2105C22⋊C4—24no—
2106C22⋊C4—24no—
2107C22⋊C4—24no—
2108C22⋊C4—22no—
2109C22⋊C4—22no—
2110C22⋊C4—22no—
2111C22⋊C4—22no—
2112C22⋊C4—24no—
2113C22⋊C4—24no—
2114C22⋊C4—22no—
2115C22⋊C4—24no—
2116C22⋊C4—24no—
2117C22⋊C4—24no—
2118C22⋊C4—24no—
2119C22⋊C4—24no—
2120C22⋊C4—24no—
2121C22⋊C4—24no—
2122C22⋊C4—24no—
2123C22⋊C4—24no—
2124C22⋊C4—22no—
2125C22⋊C4—41no—
2126C22⋊C4—41no—
2127C22⋊C4—42no—
2128C22⋊C4—41no—
2129C22⋊C4—42no—
2130C22⋊C4—41no—
2131C22⋊C4—42no—
2132C22⋊C4—41no—
2133C22⋊C4—41no—
2134C22⋊C4—41no—
2135C22⋊C4—41no—
2136C22⋊C4—41no—
2137C22⋊C4—41no—
2138C22⋊C4—41no—
2139C22⋊C4—41no—
2140C22⋊C4—41no—
2141C22⋊C4—42no—
2142C22⋊C4—41no—
2143C22⋊C4—42no—
2144C22⋊C4—42no—
2145C22⋊C4—42no—
2146C22⋊C4—41no—
2147C22⋊C4—41no—
2148C22⋊C4—41no—
2149C22⋊C4—41no—
2150C22⋊C4—42no—
2151C22⋊C4—42no—
2152C22⋊C4—41no—
2153C22⋊C4—41no—
2154C22⋊C4—41no—
2155C22⋊C4—42no—
2156C22⋊C4—42no—
2157C22⋊C4—42no—
2158C22⋊C4—42no—
2159C22⋊C4—42no—
2160C22⋊C4—42no—
2161C22⋊C4—42no—
2162C22⋊C4—42no—
2163C22⋊C4—41no—
2164C22⋊C4—41no—
2165C22⋊C4—42no—
2166C22⋊C4—41no—
2167C22⋊C4—42no—
2168C22⋊C4—42no—
2169C22⋊C4—42no—
2170C22⋊C4—42no—
2171C22⋊C4—42no—
2172C22⋊C4—42no—
2173C22⋊C4—42no—
2174C22⋊C4—42no—
2175C22⋊C4—42no—
2176C22⋊C4—41no—
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—41no—
2190C22⋊C4—42no—
2191C22⋊C4—41no—
2192C22⋊C4—42no—
2193C22⋊C4—41no—
2194C22⋊C4—41no—
2195C42—24no—
2196C42—22no—
2197C42—24no—
2198C42—24no—
2199C42—24no—
2200C42—24no—
2201C42—22no—
2202C42—22no—
2203C42—22no—
2204C42—22no—
2205C42—24no—
2206C42—22no—
2207C42—22no—
2208C42—22no—
2209C42—22no—
2210C42—22no—
2211C42—41no—
2212C42—41no—
2213C42—41no—
2214C42—41no—
2215C42—42no—
2216C42—42no—
2217C42—42no—
2218C42—42no—
2219C42—42no—
2220C42—42no—
2221C42—42no—
2222C42—42no—
2223C42—42no—
2224C42—42no—
2225C42—42no—
2226C42—41no—
2227C42—42no—
2228C42—42no—
2229C42—42no—
2230C42—41no—
2231C42—42no—
2232C42—42no—
2233C42—42no—
2234C42—42no—
2235C42—42no—
2236C42—42no—
2237C42—42no—
2238C42—41no—
2239C42—42no—
2240C42—42no—
2241C42—42no—
2242C42—41no—
2243C42—42no—
2244C42—41no—
2245C42—41no—
2246C42C2×#4114yes—
2247C23—21no—
2248C23—21no—
2249C23—21no—
2250C23—21no—
2251C23—21no—
2252C23—21no—
2253C23—21no—
2254C23—22no—
2255C23—21no—
2256C23—22no—
2257C23—22no—
2258C23—21no—
2259C23—21no—
2260C23—22no—
2261C23—21no—
2262C23—21no—
2263C23—21no—
2264C23—21no—
2265C23—21no—
2266C23—22no—
2267C23—22no—
2268C23—21no—
2269C23—21no—
2270C23—22no—
2271C23—21no—
2272C23—22no—
2273C23—21no—
2274C23—22no—
2275C23—22no—
2276C23—22no—
2277C23—21no—
2278C23—21no—
2279C23—22no—
2280C23—21no—
2281C23—21no—
2282C23—21no—
2283C23—21no—
2284C23—22no—
2285C23—21no—
2286C23—22no—
2287C23—21no—
2288C23C22×#4112yes—
2289C23C2611yescharacteristic
2290Q8—48no—
2291Q8—44no—
2292Q8—84no—
2293D4—44no—
2294D4—44no—
2295D4—44no—
2296D4—44no—
2297D4—84no—
2298D4—84no—
2299D4—84no—
2300D4—84no—
2301D4—82no—
2302D4—84no—
2303D4—84no—
2304D4—84no—
2305D4—82no—
2306D4—82no—
2307D4—84no—
2308D4—82no—
2309D4—162no—
2310D4—162no—
2311C2×C4—21no—
2312C2×C4—21no—
2313C2×C4—21no—
2314C2×C4—21no—
2315C2×C4—22no—
2316C2×C4—22no—
2317C2×C4—21no—
2318C2×C4—22no—
2319C2×C4—21no—
2320C2×C4—22no—
2321C2×C4—22no—
2322C2×C4—21no—
2323C2×C4—22no—
2324C2×C4—21no—
2325C2×C4—22no—
2326C2×C4—22no—
2327C2×C4—28no—
2328C2×C4—21no—
2329C2×C4—21no—
2330C2×C4—21no—
2331C2×C4—21no—
2332C2×C4—21no—
2333C2×C4—22no—
2334C2×C4—22no—
2335C2×C4—22no—
2336C2×C4—22no—
2337C2×C4—21no—
2338C2×C4—21no—
2339C2×C4—22no—
2340C2×C4—21no—
2341C2×C4—21no—
2342C2×C4—22no—
2343C2×C4—21no—
2344C2×C4—21no—
2345C2×C4—21no—
2346C2×C4—21no—
2347C2×C4—21no—
2348C2×C4—21no—
2349C2×C4—21no—
2350C2×C4—22no—
2351C2×C4—22no—
2352C2×C4—21no—
2353C2×C4—21no—
2354C2×C4—21no—
2355C2×C4—21no—
2356C2×C4—21no—
2357C2×C4—21no—
2358C2×C4—21no—
2359C2×C4—21no—
2360C2×C4—21no—
2361C2×C4—21no—
2362C2×C4—22no—
2363C2×C4—22no—
2364C2×C4—21no—
2365C2×C4—22no—
2366C2×C4—22no—
2367C2×C4—21no—
2368C2×C4—21no—
2369C2×C4—21no—
2370C2×C4—22no—
2371C2×C4—22no—
2372C2×C4—22no—
2373C2×C4—21no—
2374C2×C4—22no—
2375C2×C4—21no—
2376C2×C4—21no—
2377C2×C4—22no—
2378C2×C4—21no—
2379C2×C4—22no—
2380C2×C4—21no—
2381C2×C4—21no—
2382C2×C4—21no—
2383C2×C4—21no—
2384C2×C4—21no—
2385C2×C4—21no—
2386C2×C4—21no—
2387C2×C4—22no—
2388C2×C4—21no—
2389C2×C4—21no—
2390C2×C4—21no—
2391C2×C4—21no—
2392C2×C4—22no—
2393C2×C4—21no—
2394C2×C4—21no—
2395C2×C4—21no—
2396C2×C4—21no—
2397C2×C4—22no—
2398C2×C4—22no—
2399C2×C4—22no—
2400C2×C4—22no—
2401C2×C4—22no—
2402C2×C4—21no—
2403C2×C4—21no—
2404C2×C4—21no—
2405C2×C4—22no—
2406C2×C4—21no—
2407C2×C4—21no—
2408C2×C4—22no—
2409C2×C4—21no—
2410C2×C4—22no—
2411C2×C4—21no—
2412C2×C4—21no—
2413C2×C4—21no—
2414C2×C4—22no—
2415C2×C4—21no—
2416C2×C4—22no—
2417C2×C4—21no—
2418C2×C4—21no—
2419C2×C4—21no—
2420C2×C4—21no—
2421C2×C4—21no—
2422C2×C4—21no—
2423C2×C4—21no—
2424C2×C4—48no—
2425C2×C4—44no—
2426C2×C4—48no—
2427C2×C4—44no—
2428C2×C4—44no—
2429C2×C4—44no—
2430C2×C4—84no—
2431C2×C4—84no—
2432C2×C4—84no—
2433C2×C4—84no—
2434C2×C4—84no—
2435C2×C4—84no—
2436C2×C4—82no—
2437C2×C4—84no—
2438C2×C4—84no—
2439C2×C4—162no—
2440C2×C4C22×#4114yes—
2441C2×C4C22×#4114yes—
2442C2×C4C22×#4114yes—
2443C2×C4C22×#4112yes—
2444C2×C4C22×#4112yes—
2445C2×C4C22×#4112yes—
2446C2×C4C22×#4114yes—
2447C2×C4C22×#4112yes—
2448C2×C4C22×#4112yes—
2449C2×C4#58512yes—
2450C2×C4#58512yes—
2451C22—22no—
2452C22—22no—
2453C22—22no—
2454C22—41no—
2455C22—41no—
2456C22—41no—
2457C22—41no—
2458C22—41no—
2459C22—42no—
2460C22—42no—
2461C22—41no—
2462C22—41no—
2463C22—42no—
2464C22—41no—
2465C22—42no—
2466C22—41no—
2467C22—41no—
2468C22—41no—
2469C22—41no—
2470C22—42no—
2471C22—42no—
2472C22—41no—
2473C22—42no—
2474C22—41no—
2475C22—41no—
2476C22—42no—
2477C22—41no—
2478C22—42no—
2479C22—42no—
2480C22—41no—
2481C22—41no—
2482C22—41no—
2483C22—42no—
2484C22—42no—
2485C22—41no—
2486C22—41no—
2487C22—41no—
2488C22—41no—
2489C22—41no—
2490C22—41no—
2491C22—42no—
2492C22—42no—
2493C22C23×#4111yescharacteristic
2494C22C23×#4111yescharacteristic
2495C22C2×#58511yescharacteristic
2496C22C2×#58511yescharacteristic
2497C22H(7,𝔽2)11yescharacteristic
2498C22H(7,𝔽2)11yescharacteristic
2499C222−1+611yescharacteristic
2500C4—22no—
2501C4—22no—
2502C4—24no—
2503C4—24no—
2504C4—24no—
2505C4—24no—
2506C4—22no—
2507C4—22no—
2508C4—41no—
2509C4—42no—
2510C4—42no—
2511C4—41no—
2512C4—41no—
2513C4—42no—
2514C4—41no—
2515C4—42no—
2516C4—41no—
2517C4—41no—
2518C4—41no—
2519C4—41no—
2520C4—41no—
2521C4—41no—
2522C4—42no—
2523C4—42no—
2524C4—41no—
2525C4—42no—
2526C4—41no—
2527C4—41no—
2528C4—41no—
2529C4—41no—
2530C4—41no—
2531C4—41no—
2532C4—41no—
2533C4—41no—
2534C4—42no—
2535C4—42no—
2536C4—41no—
2537C4—41no—
2538C4—41no—
2539C4—42no—
2540C4#348014yes—
2541C2—42no—
2542C2—81no—
2543C2—82no—
2544C2—82no—
2545C2—81no—
2546C2—81no—
2547C2C2×#348011yescharacteristic
2548C2#6284611yescharacteristic
2549C2#6284711yescharacteristic
2550C2#6293511yescharacteristic
2551C2#6300611yescharacteristic
2552C2#6300711yescharacteristic
2553C2#6306511yescharacteristic
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. #59859C2semidirect
2. #59798C2semidirect
3. #59777C2semidirect
4. #59734C2semidirect
5. #59718C2semidirect
6. #59672C2semidirect
7. #52279C2semidirect
8. #52262C2semidirect
9. #45373C2semidirect
10. #45315C2semidirect
11. #45311C2semidirect
12. #45302C2semidirect
13. #44882C2semidirect
14. #44878C2semidirect
15. #43755C2semidirect
16. #43749C2semidirect
17. #43722C2semidirect
18. #43714C2semidirect
19. #43608C2semidirect
20. #43606C2semidirect
21. #40285C2semidirect
22. #40029C2semidirect
23. #39817C2semidirect
24. #39786C2semidirect
25. #39424C2semidirect
26. #39319C2semidirect
27. #39298C2semidirect
28. #39215C2semidirect
29. #39197C2semidirect
30. #38668C2semidirect
31. #38219C2semidirect
32. #38129C2semidirect
33. #36596C2semidirect
34. #36527C2semidirect
35. #36462C2semidirect
36. #36073C2semidirect
37. #36058C2semidirect
38. #36026C2semidirect
39. #36015C2semidirect
40. #36015C2semidirect
41. #36006C2semidirect
42. #34319C2semidirect
43. #34319C2semidirect
44. #34316C2semidirect
45. #34304C2semidirect
46. #34284C2semidirect
47. #34271C2semidirect
1449. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#598592
#597982
#597772
#597342
#597182
#596722
#522792
#522622
#453732
#453152
#453112
#453022
#448822
#448782
#437552
#437492
#437222
#437142
#436082
#436062
#402852
#400292
#398172
#397862
#394242
#393192
#392982
#392152
#391972
#386682
#382192
#381292
#365962
#365272
#364622
#360732
#360582
#360262
#360152
#360062
#343192
#343162
#343042
#342842
#342712