Finite Group Databasebeta

← #7695844

Subgroups — #7695844

Order 512.

4734 conjugacy classes of subgroups.

The subgroup lattice has 2557 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59799C212yesmaximal, complemented
2#59741C212yesmaximal, complemented
3#59716C211yesmaximal, characteristic, complemented
4#59684C212yesmaximal, complemented
5#59677C211yesmaximal, characteristic, complemented
6#59673C211yesmaximal, characteristic, complemented
7#52284C212yesmaximal, complemented
8#52262C211yesmaximal, characteristic, complemented
9#45174C211yesmaximal, characteristic, complemented
10#45162C211yesmaximal, characteristic, complemented
11#45076C211yesmaximal, characteristic, complemented
12#45048C211yesmaximal, characteristic, complemented
13#44882C211yesmaximal, characteristic, complemented
14#44878C211yesmaximal, characteristic, complemented
15#44652C212yesmaximal, complemented
16#44546C212yesmaximal, complemented
17#44405C212yesmaximal, complemented
18#44402C212yesmaximal, complemented
19#43334C212yesmaximal, complemented
20#43298C212yesmaximal, complemented
21#40275C212yesmaximal, complemented
22#40019C212yesmaximal, complemented
23#39821C211yesmaximal, characteristic, complemented
24#39783C212yesmaximal, complemented
25#39424C211yesmaximal, characteristic, complemented
26#39318C212yesmaximal, complemented
27#39295C211yesmaximal, characteristic, complemented
28#39218C212yesmaximal, complemented
29#39197C211yesmaximal, characteristic, complemented
30#38670C212yesmaximal, complemented
31#38216C211yesmaximal, characteristic, complemented
32#38124C211yesmaximal, characteristic, complemented
33#36589C211yesmaximal, characteristic, complemented
34#36527C211yesmaximal, characteristic, complemented
35#36470C211yesmaximal, characteristic, complemented
36#36028C211yesmaximal, characteristic, complemented
37#36017C211yesmaximal, characteristic, complemented
38#35993C211yesmaximal, characteristic, complemented
39#35978C211yesmaximal, characteristic, complemented
40#35897C211yesmaximal, characteristic, complemented
41#35830C211yesmaximal, characteristic, complemented
42#34322C211yesmaximal, characteristic, complemented
43#34319C211yesmaximal, characteristic, complemented
44#34316C211yesmaximal, characteristic, complemented
45#34306C211yesmaximal, characteristic, complemented
46#34285C211yesmaximal, characteristic, complemented
47#34272C211yesmaximal, characteristic, complemented
48C2×#556C2211yescharacteristic
49C2×#555C2211yescharacteristic
50C2×#553C2211yescharacteristic
51C2×#547C2211yescharacteristic
52C2×#544C2211yescharacteristic
53C2×#542C2211yescharacteristic
54#2861C2211yescharacteristic
55#2860C2212yes—
56#2860C2211yescharacteristic
57#2860C2212yes—
58#2852C2212yes—
59#2850C2211yescharacteristic
60#2803C2211yescharacteristic
61#2803C2212yes—
62#2803C2212yes—
63#2803C2212yes—
64#2802C2211yescharacteristic
65#2801C2211yescharacteristic
66#2801C2212yes—
67#2800C2212yes—
68#2800C2212yes—
69#2800C2211yescharacteristic
70#2800C2211yescharacteristic
71#2800C2212yes—
72#2799C2212yes—
73#2799C2212yes—
74#2798C2212yes—
75#2797C2212yes—
76#2797C2212yes—
77#2797C2211yescharacteristic
78#2796C2211yescharacteristic
79#2793C2212yes—
80#2788C2212yes—
81#2788C2212yes—
82#2787C2211yescharacteristic
83#2779C2212yes—
84#2779C2212yes—
85#2779C2211yescharacteristic
86#2779C2212yes—
87#2778C2212yes—
88#2778C2212yes—
89#2777C2211yescharacteristic
90#2776C2212yes—
91#2773C2212yes—
92#2772C2211yescharacteristic
93#2772C2212yes—
94#2771C2212yes—
95#2767C2212yes—
96#2766C2212yes—
97#2765C2212yes—
98#2759C2212yes—
99#2758C2212yes—
100#2757C2212yes—
101#2757C2211yescharacteristic
102#2753C2212yes—
103#2753C2212yes—
104#2753C2212yes—
105#2753C2211yescharacteristic
106#2751C2212yes—
107#2732C2212yes—
108#2731C2212yes—
109#2730C2212yes—
110#2729C2212yes—
111#2728C2212yes—
112#2728C2212yes—
113#2725C2212yes—
114#2725C2211yescharacteristic
115#2718C2212yes—
116#2716C2212yes—
117#2715C2212yes—
118#2715C2212yes—
119#2714C2211yescharacteristic
120#2714C2212yes—
121#2712C2212yes—
122#2711C2211yescharacteristic
123#2710C2212yes—
124#2709C2212yes—
125#2707C2212yes—
126#2705C2212yes—
127#2682C2212yes—
128#2681C2212yes—
129#2681C2212yes—
130#2662C2212yes—
131#2662C2212yes—
132#2655C2212yes—
133#2654C2212yes—
134#2648C2212yes—
135#2648C2212yes—
136#2644C2211yescharacteristic
137#2629C2211yescharacteristic
138#2625C2211yescharacteristic
139#2624C2211yescharacteristic
140#2620C2211yescharacteristic
141#2619C2211yescharacteristic
142#2608C2212yes—
143#2604C2212yes—
144#2603C2212yes—
145#2602C2212yes—
146#2601C2212yes—
147#2601C2212yes—
148#2599C2212yes—
149#2598C2212yes—
150#2598C2212yes—
151#2597C2212yes—
152#2597C2212yes—
153#2597C2212yes—
154#2596C2212yes—
155#2595C2212yes—
156#2595C2212yes—
157#2594C2212yes—
158#2594C2212yes—
159#2593C2212yes—
160#2593C2212yes—
161#2593C2212yes—
162#2592C2212yes—
163#2589C2212yes—
164#2581C2212yes—
165#2581C2212yes—
166#2579C2212yes—
167#2578C2212yes—
168#2578C2212yes—
169#2577C2212yes—
170#2577C2212yes—
171#2577C2212yes—
172#2576C2212yes—
173#2576C2212yes—
174#2576C2212yes—
175#2576C2212yes—
176#2573C2212yes—
177#2571C2211yescharacteristic
178#2566C2211yescharacteristic
179#2562C2211yescharacteristic
180#2560C2212yes—
181#2560C2212yes—
182#2559C2212yes—
183#2559C2212yes—
184#2559C2212yes—
185#2558C2212yes—
186#2558C2212yes—
187#2558C2212yes—
188#2557C2212yes—
189#2557C2212yes—
190#2557C2212yes—
191#2557C2212yes—
192#2555C2212yes—
193#2555C2212yes—
194#2555C2212yes—
195#2554C2212yes—
196#2553C2212yes—
197#2551C2211yescharacteristic
198#2550C2212yes—
199#2550C2211yescharacteristic
200#2550C2211yescharacteristic
201#2548C2212yes—
202#2545C2212yes—
203#2545C2212yes—
204#2544C2212yes—
205#2544C2211yescharacteristic
206#2541C2211yescharacteristic
207#2540C2211yescharacteristic
208#2540C2211yescharacteristic
209#2529C2212yes—
210#2526C2212yes—
211#2525C2212yes—
212#2525C2212yes—
213#2524C2212yes—
214#2523C2212yes—
215#2521C2212yes—
216#2520C2212yes—
217#2518C2212yes—
218#2518C2212yes—
219#2518C2212yes—
220#2518C2212yes—
221#2518C2212yes—
222#2518C2212yes—
223#2516C2212yes—
224#2516C2212yes—
225#2516C2212yes—
226#2516C2212yes—
227#2515C2212yes—
228#2515C2212yes—
229#2514C2212yes—
230#2514C2211yescharacteristic
231#2514C2211yescharacteristic
232#2513C2212yes—
233#2513C2211yescharacteristic
234#2512C2211yescharacteristic
235#2510C2212yes—
236#2509C2211yescharacteristic
237#2509C2211yescharacteristic
238#2509C2212yes—
239#2508C2211yescharacteristic
240#2508C2212yes—
241#2508C2211yescharacteristic
242#2504C2212yes—
243#2500C2212yes—
244#2497C2211yescharacteristic
245#2497C2212yes—
246#2495C2211yescharacteristic
247#2495C2211yescharacteristic
248#2494C2212yes—
249#2494C2211yescharacteristic
250#2492C2211yescharacteristic
251#2492C2211yescharacteristic
252#2491C2211yescharacteristic
253#2491C2211yescharacteristic
254#2491C2212yes—
255#2491C2211yescharacteristic
256#2491C2211yescharacteristic
257#2490C2211yescharacteristic
258#2490C2211yescharacteristic
259#2490C2211yescharacteristic
260#2489C2211yescharacteristic
261#2488C2212yes—
262#2485C2211yescharacteristic
263#2485C2211yescharacteristic
264#2481C2212yes—
265#2478C2212yes—
266#2477C2212yes—
267#2476C2212yes—
268#2474C2212yes—
269#2470C2212yes—
270#2466C2212yes—
271#2465C2212yes—
272#2464C2212yes—
273#2464C2212yes—
274#2461C2212yes—
275#2458C2212yes—
276#2453C2211yescharacteristic
277#2452C2211yescharacteristic
278#2448C2212yes—
279#2448C2211yescharacteristic
280#2447C2211yescharacteristic
281#2445C2212yes—
282#2445C2211yescharacteristic
283#2445C2211yescharacteristic
284#2444C2212yes—
285#2444C2212yes—
286#2444C2212yes—
287#2442C2211yescharacteristic
288#2440C2211yescharacteristic
289#2432C2212yes—
290#2431C2212yes—
291#2429C2212yes—
292#2428C2212yes—
293#2428C2211yescharacteristic
294#2426C2212yes—
295#2426C2212yes—
296#2426C2211yescharacteristic
297#2421C2211yescharacteristic
298#2421C2212yes—
299#2420C2211yescharacteristic
300#2420C2212yes—
301#2417C2211yescharacteristic
302#2417C2211yescharacteristic
303#2416C2211yescharacteristic
304#2416C2212yes—
305#2416C2211yescharacteristic
306#2416C2211yescharacteristic
307#2416C2211yescharacteristic
308#2415C2211yescharacteristic
309#2415C2212yes—
310#2414C2211yescharacteristic
311#2407C2212yes—
312#2407C2212yes—
313#2401C2212yes—
314#2401C2211yescharacteristic
315#2398C2212yes—
316#2396C2212yes—
317#2396C2212yes—
318#2395C2211yescharacteristic
319#2395C2211yescharacteristic
320#2395C2212yes—
321#2392C2211yescharacteristic
322#2392C2211yescharacteristic
323#2392C2211yescharacteristic
324#2392C2212yes—
325#2374C2212yes—
326#2374C2212yes—
327#2374C2212yes—
328#2374C2212yes—
329#2373C2212yes—
330#2373C2212yes—
331#2373C2212yes—
332#2372C2212yes—
333#2370C2211yescharacteristic
334#2370C2211yescharacteristic
335#2370C2211yescharacteristic
336#2370C2211yescharacteristic
337#2370C2211yescharacteristic
338#2369C2211yescharacteristic
339#2369C2211yescharacteristic
340#2369C2211yescharacteristic
341#2368C2212yes—
342#2368C2212yes—
343#2368C2212yes—
344#2367C2212yes—
345#2367C2212yes—
346#2367C2211yescharacteristic
347#2367C2212yes—
348#2367C2211yescharacteristic
349#2367C2211yescharacteristic
350#2366C2211yescharacteristic
351#2365C2211yescharacteristic
352#2365C2211yescharacteristic
353#2365C2211yescharacteristic
354#2365C2212yes—
355#2365C2211yescharacteristic
356#2364C2212yes—
357#2364C2212yes—
358#2363C2211yescharacteristic
359#2363C2211yescharacteristic
360#2363C2211yescharacteristic
361#2363C2211yescharacteristic
362#2363C2212yes—
363#2363C2211yescharacteristic
364#2363C2211yescharacteristic
365#2362C2212yes—
366#2362C2211yescharacteristic
367#2362C2212yes—
368#2362C2211yescharacteristic
369#2361C2211yescharacteristic
370#2361C2211yescharacteristic
371#2361C2211yescharacteristic
372#2360C2211yescharacteristic
373#2360C2211yescharacteristic
374#2360C2212yes—
375#2360C2212yes—
376#2360C2211yescharacteristic
377#2359C2212yes—
378#2357C2211yescharacteristic
379#2357C2212yes—
380#2357C2211yescharacteristic
381#2355C2211yescharacteristic
382#2354C2211yescharacteristic
383#2354C2211yescharacteristic
384#2352C2211yescharacteristic
385#2352C2211yescharacteristic
386#2352C2211yescharacteristic
387#2352C2211yescharacteristic
388#2351C2212yes—
389D4×C4⋊C4C2211yescharacteristic
390#2347C2211yescharacteristic
391#2346C2211yescharacteristic
392#2346C2211yescharacteristic
393#2345C2211yescharacteristic
394#2345C2211yescharacteristic
395#2344C2211yescharacteristic
396#2343C2212yes—
397#2341C2212yes—
398#2337C2212yes—
399#2337C2212yes—
400#2335C2212yes—
401#2335C2212yes—
402#2334C2212yes—
403#2334C2212yes—
404#2334C2212yes—
405#2334C2212yes—
406#2333C2212yes—
407#2333C2212yes—
408#2331C2211yescharacteristic
409#2331C2212yes—
410#2330C2212yes—
411#2324C2211yescharacteristic
412#2324C2211yescharacteristic
413#2324C2211yescharacteristic
414#2324C2211yescharacteristic
415#2324C2211yescharacteristic
416#2323C2211yescharacteristic
417#2323C2211yescharacteristic
418#2320C2211yescharacteristic
419#2317C2211yescharacteristic
420C4×C4⋊Q8C2211yescharacteristic
421C4×C4⋊Q8C2211yescharacteristic
422C4×C4⋊Q8C2212yes—
423C4×#125C2211yescharacteristic
424C4×#125C2211yescharacteristic
425C4×#125C2212yes—
426C4×#126C2211yescharacteristic
427C4×#126C2212yes—
428C4×#126C2212yes—
429C4×#124C2212yes—
430C4×#124C2212yes—
431C4×#124C2212yes—
432C4×#124C2212yes—
433C4×C22⋊Q8C2212yes—
434C4×#123C2212yes—
435C4×#123C2212yes—
436C4×#121C2211yescharacteristic
437C4×#121C2211yescharacteristic
438#2298C2212yes—
439#2298C2211yescharacteristic
440#2297C2212yes—
441#2296C2211yescharacteristic
442#2295C2212yes—
443#2293C2211yescharacteristic
444#2293C2211yescharacteristic
445#2293C2211yescharacteristic
446#2293C2211yescharacteristic
447C2×#389C2211yescharacteristic
448#2290C2211yescharacteristic
449#2290C2212yes—
450#2275C2211yescharacteristic
451#2274C2211yescharacteristic
452#2274C2211yescharacteristic
453#2274C2211yescharacteristic
454#2274C2211yescharacteristic
455#2274C2211yescharacteristic
456C42×Q8C2211yescharacteristic
457C42×D4C2211yescharacteristic
458C4×#117C2211yescharacteristic
459C22×#41C2312yes—
460#556—28no—
461#555—28no—
462#553—28no—
463#547—28no—
464#544—28no—
465#542—28no—
466C2×C4⋊Q8C2312yes—
467C2×C4⋊Q8C2311yescharacteristic
468C2×C4⋊Q8C2311yescharacteristic
469C2×C4⋊Q8C2311yescharacteristic
470C2×C4⋊Q8C2312yes—
471C2×C4⋊Q8C2311yescharacteristic
472C2×#127C2311yescharacteristic
473C2×#127C2312yes—
474C2×#126C2312yes—
475C2×#126C2312yes—
476C2×#126C2312yes—
477C2×#126C2312yes—
478C2×#126C2311yescharacteristic
479C2×#126C2312yes—
480C2×#126C2312yes—
481C2×#125C2312yes—
482C2×#125C2311yescharacteristic
483C2×#125C2311yescharacteristic
484C2×#125C2311yescharacteristic
485C2×#125C2311yescharacteristic
486C2×#124C2312yes—
487C2×#124C2312yes—
488C2×#124C2311yescharacteristic
489C2×#124C2312yes—
490C2×#124C2312yes—
491C2×#124C2311yescharacteristic
492C2×#124C2312yes—
493C2×#124C2312yes—
494C2×#124C2312yes—
495C2×#124C2312yes—
496C2×#123C2312yes—
497C2×#123C2312yes—
498C2×#123C2312yes—
499C2×#123C2312yes—
500C2×#123C2312yes—
501C2×#123C2312yes—
502C2×C22⋊Q8C2312yes—
503C2×C22⋊Q8C2311yescharacteristic
504C2×C22⋊Q8C2311yescharacteristic
505C2×C22⋊Q8C2311yescharacteristic
506C2×C22⋊Q8C2312yes—
507C2×C22⋊Q8C2312yes—
508C2×C22⋊Q8C2312yes—
509C2×C22⋊Q8C2311yescharacteristic
510C2×C22⋊Q8C2312yes—
511C2×C22⋊Q8C2312yes—
512C2×#121C2311yescharacteristic
513C2×#121C2311yescharacteristic
514C2×#121C2311yescharacteristic
515C2×#121C2311yescharacteristic
516C2×#121C2311yescharacteristic
517C2×#121C2312yes—
518C2×#121C2312yes—
519C2×#121C2311yescharacteristic
520C2×#121C2311yescharacteristic
521C2×#121C2311yescharacteristic
522C2×#121C2312yes—
523C2×#121C2311yescharacteristic
524C2×#121C2312yes—
525C2×#121C2312yes—
526C2×#121C2312yes—
527C2×#121C2312yes—
528C2×C4×Q8C2311yescharacteristic
529C2×C4×Q8C2312yes—
530C2×C4×Q8C2311yescharacteristic
531C2×C4×Q8C2311yescharacteristic
532C2×C4×Q8C2312yes—
533C2×C4×Q8C2312yes—
534C2×C4×Q8C2312yes—
535C2×C4×Q8C2312yes—
536C2×C4×Q8C2312yes—
537C2×C4×Q8C2312yes—
538C2×C4×D4C2311yescharacteristic
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×D4C2311yescharacteristic
548C2×C4×D4C2311yescharacteristic
549C2×C4×D4C2311yescharacteristic
550C2×C4×D4C2311yescharacteristic
551C2×C4×D4C2312yes—
552C2×C4×D4C2312yes—
553C2×C4×D4C2312yes—
554C2×C4×D4C2312yes—
555C2×C4×D4C2312yes—
556C2×C4×D4C2312yes—
557C2×#117C2311yescharacteristic
558C2×#117C2311yescharacteristic
559C2×#117C2311yescharacteristic
560C2×#117C2312yes—
561C2×#117C2311yescharacteristic
562C2×#117C2311yescharacteristic
563C2×#117C2311yescharacteristic
564C2×#117C2311yescharacteristic
565C2×#117C2311yescharacteristic
566C2×#117C2311yescharacteristic
567C2×#117C2312yes—
568C2×#117C2312yes—
569C2×#117C2312yes—
570C2×#117C2311yescharacteristic
571C22×C4⋊C4C2311yescharacteristic
572C22×C4⋊C4C2311yescharacteristic
573C22×C4⋊C4C2311yescharacteristic
574C22×C4⋊C4C2311yescharacteristic
575C22×C4⋊C4C2311yescharacteristic
576C22×C4⋊C4C2312yes—
577C22×C42C2311yescharacteristic
578C22×C42C2312yes—
579#401C2311yescharacteristic
580#401C2312yes—
581#401C2312yes—
582#401C2312yes—
583#400C2312yes—
584#400C2312yes—
585#400C2312yes—
586#400C2312yes—
587#400C2312yes—
588#400C2312yes—
589#400C2312yes—
590#400C2312yes—
591#400C2312yes—
592#400C2312yes—
593#400C2312yes—
594#400C2312yes—
595#400C2312yes—
596#400C2311yescharacteristic
597#400C2312yes—
598#400C2312yes—
599#400C2312yes—
600#400C2311yescharacteristic
601#400C2312yes—
602#400C2312yes—
603#400C2311yescharacteristic
604#400C2312yes—
605#400C2312yes—
606#400C2312yes—
607#400C2311yescharacteristic
608#400C2311yescharacteristic
609#399C2312yes—
610#399C2312yes—
611#399C2312yes—
612#399C2311yescharacteristic
613#399C2311yescharacteristic
614#399C2312yes—
615#398C2312yes—
616#398C2312yes—
617#398C2312yes—
618#398C2312yes—
619#398C2312yes—
620#398C2312yes—
621#398C2312yes—
622#398C2311yescharacteristic
623#398C2312yes—
624#398C2312yes—
625#398C2312yes—
626#398C2311yescharacteristic
627#398C2312yes—
628#398C2311yescharacteristic
629#398C2311yescharacteristic
630#398C2312yes—
631#398C2311yescharacteristic
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2311yescharacteristic
640#397C2311yescharacteristic
641#397C2311yescharacteristic
642#397C2312yes—
643#397C2312yes—
644#397C2311yescharacteristic
645#397C2312yes—
646#397C2312yes—
647#397C2311yescharacteristic
648#397C2312yes—
649#397C2312yes—
650#397C2312yes—
651#397C2312yes—
652#397C2312yes—
653#397C2312yes—
654#397C2312yes—
655#397C2312yes—
656#397C2312yes—
657#397C2311yescharacteristic
658#397C2311yescharacteristic
659#397C2311yescharacteristic
660#397C2311yescharacteristic
661#397C2312yes—
662#397C2311yescharacteristic
663#397C2311yescharacteristic
664#397C2312yes—
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801#390C2312yes—
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1017#387C2312yes—
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1301C2×#41—82no—
1302C2×#41—82no—
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1305C22×Q8C2412yes—
1306C22×Q8C2412yes—
1307C22×Q8C2412yes—
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1312C22×D4C2412yes—
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1315C22×D4C2412yes—
1316C22×D4C2412yes—
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1320C22×D4C2412yes—
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1328C23×C4C2411yescharacteristic
1329C23×C4C2411yescharacteristic
1330C23×C4C2412yes—
1331C23×C4C2412yes—
1332C23×C4C2412yes—
1333C23×C4C2412yes—
1334C23×C4C2412yes—
1335C23×C4C2412yes—
1336C23×C4C2412yes—
1337C23×C4C2412yes—
1338C23×C4C2412yes—
1339C23×C4C2411yescharacteristic
1340C23×C4C2412yes—
1341C23×C4C2412yes—
1342C23×C4C2411yescharacteristic
1343C4⋊Q8—28no—
1344C4⋊Q8—24no—
1345C4⋊Q8—24no—
1346C4⋊Q8—24no—
1347C4⋊Q8—44no—
1348C4⋊Q8#4118yes—
1349#127—42no—
1350#127—82no—
1351#126—28no—
1352#126—28no—
1353#126—28no—
1354#126—28no—
1355#126—44no—
1356#126—42no—
1357#126—82no—
1358#125—28no—
1359#125—24no—
1360#125—24no—
1361#125—24no—
1362#125—42no—
1363#124—28no—
1364#124—28no—
1365#124—28no—
1366#124—24no—
1367#124—28no—
1368#124—42no—
1369#124—44no—
1370#124—44no—
1371#124—82no—
1372#124—82no—
1373#123—28no—
1374#123—28no—
1375#123—28no—
1376#123—28no—
1377#123—44no—
1378#123—82no—
1379C22⋊Q8—28no—
1380C22⋊Q8—28no—
1381C22⋊Q8—28no—
1382C22⋊Q8—24no—
1383C22⋊Q8—24no—
1384C22⋊Q8—28no—
1385C22⋊Q8—24no—
1386C22⋊Q8—42no—
1387C22⋊Q8—82no—
1388C22⋊Q8—82no—
1389#121—24no—
1390#121—24no—
1391#121—24no—
1392#121—24no—
1393#121—24no—
1394#121—24no—
1395#121—24no—
1396#121—28no—
1397#121—28no—
1398#121—44no—
1399#121—42no—
1400#121—42no—
1401#121—82no—
1402#121—82no—
1403#121—82no—
1404#121—82no—
1405C4×Q8—24no—
1406C4×Q8—24no—
1407C4×Q8—28no—
1408C4×Q8—42no—
1409C4×Q8—82no—
1410C4×Q8—82no—
1411C4×Q8—82no—
1412C4×Q8—82no—
1413C4×Q8—82no—
1414C4×Q8—82no—
1415C4×D4—24no—
1416C4×D4—24no—
1417C4×D4—24no—
1418C4×D4—24no—
1419C4×D4—24no—
1420C4×D4—24no—
1421C4×D4—24no—
1422C4×D4—24no—
1423C4×D4—28no—
1424C4×D4—42no—
1425C4×D4—42no—
1426C4×D4—42no—
1427C4×D4—42no—
1428C4×D4—82no—
1429C4×D4—82no—
1430C4×D4—82no—
1431C4×D4—82no—
1432C4×D4—82no—
1433C4×D4—82no—
1434#117—24no—
1435#117—24no—
1436#117—24no—
1437#117—24no—
1438#117—24no—
1439#117—28no—
1440#117—42no—
1441#117—42no—
1442#117—42no—
1443#117—42no—
1444#117—82no—
1445#117—82no—
1446#117—82no—
1447#117#4118yescomplemented
1448C2×C4⋊C4—24no—
1449C2×C4⋊C4—24no—
1450C2×C4⋊C4—24no—
1451C2×C4⋊C4—24no—
1452C2×C4⋊C4—42no—
1453C2×C4⋊C4—82no—
1454C2×C4⋊C4C2411yescharacteristic
1455C2×C4⋊C4C2411yescharacteristic
1456C2×C4⋊C4C2411yescharacteristic
1457C2×C4⋊C4C2411yescharacteristic
1458C2×C4⋊C4C2412yes—
1459C2×C4⋊C4C2412yes—
1460C2×C4⋊C4C2412yes—
1461C2×C4⋊C4C2411yescharacteristic
1462C2×C4⋊C4C2412yes—
1463C2×C4⋊C4C2411yescharacteristic
1464C2×C4⋊C4C2411yescharacteristic
1465C2×C4⋊C4C2411yescharacteristic
1466C2×C4⋊C4C2412yes—
1467C2×C4⋊C4C2411yescharacteristic
1468C2×C4⋊C4C2411yescharacteristic
1469C2×C4⋊C4C2411yescharacteristic
1470C2×C4⋊C4C2411yescharacteristic
1471C2×C4⋊C4C2411yescharacteristic
1472C2×C4⋊C4C2411yescharacteristic
1473C2×C4⋊C4C2411yescharacteristic
1474C2×C4⋊C4C2411yescharacteristic
1475C2×C4⋊C4C2412yes—
1476C2×C4⋊C4C2411yescharacteristic
1477C2×C4⋊C4C2412yes—
1478C2×C4⋊C4C2412yes—
1479C2×C4⋊C4C2412yes—
1480C2×C4⋊C4C2412yes—
1481C2×C4⋊C4C2412yes—
1482C2×C4⋊C4C2411yescharacteristic
1483C2×C4⋊C4C2412yes—
1484C2×C4⋊C4C2412yes—
1485C2×C4⋊C4C2412yes—
1486C2×C4⋊C4C2412yes—
1487C2×C4⋊C4C2412yes—
1488C2×C4⋊C4C2412yes—
1489C2×C4⋊C4C2412yes—
1490C2×C4⋊C4C2411yescharacteristic
1491C2×C4⋊C4C2411yescharacteristic
1492C2×C4⋊C4C2412yes—
1493C2×C4⋊C4C2412yes—
1494C2×C4⋊C4C2412yes—
1495C2×C4⋊C4C2412yes—
1496C2×C4⋊C4C2412yes—
1497C2×C4⋊C4C2412yes—
1498C2×C4⋊C4C2411yescharacteristic
1499C2×C4⋊C4C2412yes—
1500C2×C4⋊C4C2412yes—
1501C2×C4⋊C4C2412yes—
1502C2×C4⋊C4C2412yes—
1503C2×C4⋊C4C2412yes—
1504C2×C4⋊C4C2411yescharacteristic
1505C2×C4⋊C4C2411yescharacteristic
1506C2×C4⋊C4C2411yescharacteristic
1507C2×C4⋊C4C2411yescharacteristic
1508C2×C4⋊C4C2411yescharacteristic
1509C2×C4⋊C4C2411yescharacteristic
1510C2×C4⋊C4C2411yescharacteristic
1511C2×C4⋊C4C2412yes—
1512C2×C4⋊C4C2412yes—
1513C2×C4⋊C4C2412yes—
1514C2×C4⋊C4C2412yes—
1515C2×C4⋊C4C2411yescharacteristic
1516C2×C4⋊C4C2411yescharacteristic
1517C2×C4⋊C4C2411yescharacteristic
1518C2×C4⋊C4C2411yescharacteristic
1519C2×C4⋊C4C2412yes—
1520C2×C4⋊C4C2411yescharacteristic
1521C2×C4⋊C4C2411yescharacteristic
1522C2×C4⋊C4C2412yes—
1523C2×C4⋊C4C2412yes—
1524C2×C4⋊C4C2412yes—
1525C2×C4⋊C4C2412yes—
1526C2×C4⋊C4C2412yes—
1527C2×C4⋊C4C2412yes—
1528C2×C4⋊C4C2411yescharacteristic
1529C2×C4⋊C4C2412yes—
1530C2×C4⋊C4C2412yes—
1531C2×C4⋊C4C2411yescharacteristic
1532C2×C4⋊C4C2412yes—
1533C2×C4⋊C4C2411yescharacteristic
1534C2×C4⋊C4C2411yescharacteristic
1535C2×C4⋊C4C2411yescharacteristic
1536C2×C4⋊C4C2411yescharacteristic
1537C2×C4⋊C4C2412yes—
1538C2×C4⋊C4C2411yescharacteristic
1539C2×C4⋊C4C2411yescharacteristic
1540C2×C4⋊C4C2412yes—
1541C2×C4⋊C4C2412yes—
1542C2×C4⋊C4C2412yes—
1543C2×C4⋊C4C2411yescharacteristic
1544C2×C4⋊C4C2411yescharacteristic
1545C2×C4⋊C4C2411yescharacteristic
1546C2×C4⋊C4C2411yescharacteristic
1547C2×C4⋊C4C2411yescharacteristic
1548C2×C4⋊C4C2411yescharacteristic
1549C2×C4⋊C4C2411yescharacteristic
1550C2×C4⋊C4C2412yes—
1551C2×C22⋊C4C2412yes—
1552C2×C22⋊C4C2412yes—
1553C2×C22⋊C4C2412yes—
1554C2×C22⋊C4C2412yes—
1555C2×C22⋊C4C2411yescharacteristic
1556C2×C22⋊C4C2411yescharacteristic
1557C2×C22⋊C4C2411yescharacteristic
1558C2×C22⋊C4C2411yescharacteristic
1559C2×C22⋊C4C2412yes—
1560C2×C22⋊C4C2411yescharacteristic
1561C2×C22⋊C4C2412yes—
1562C2×C22⋊C4C2412yes—
1563C2×C22⋊C4C2411yescharacteristic
1564C2×C22⋊C4C2412yes—
1565C2×C22⋊C4C2411yescharacteristic
1566C2×C22⋊C4C2411yescharacteristic
1567C2×C22⋊C4C2412yes—
1568C2×C22⋊C4C2411yescharacteristic
1569C2×C22⋊C4C2411yescharacteristic
1570C2×C22⋊C4C2412yes—
1571C2×C22⋊C4C2411yescharacteristic
1572C2×C22⋊C4C2411yescharacteristic
1573C2×C22⋊C4C2412yes—
1574C2×C22⋊C4C2412yes—
1575C2×C22⋊C4C2412yes—
1576C2×C22⋊C4C2412yes—
1577C2×C22⋊C4C2412yes—
1578C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1591C2×C22⋊C4C2412yes—
1592C2×C22⋊C4C2411yescharacteristic
1593C2×C22⋊C4C2411yescharacteristic
1594C2×C22⋊C4C2411yescharacteristic
1595C2×C22⋊C4C2412yes—
1596C2×C22⋊C4C2411yescharacteristic
1597C2×C22⋊C4C2411yescharacteristic
1598C2×C22⋊C4C2411yescharacteristic
1599C2×C22⋊C4C2412yes—
1600C2×C22⋊C4C2411yescharacteristic
1601C2×C22⋊C4C2412yes—
1602C2×C22⋊C4C2411yescharacteristic
1603C2×C22⋊C4C2411yescharacteristic
1604C2×C22⋊C4C2412yes—
1605C2×C22⋊C4C2412yes—
1606C2×C22⋊C4C2412yes—
1607C2×C22⋊C4C2412yes—
1608C2×C22⋊C4C2412yes—
1609C2×C22⋊C4C2412yes—
1610C2×C22⋊C4C2411yescharacteristic
1611C2×C22⋊C4C2411yescharacteristic
1612C2×C22⋊C4C2411yescharacteristic
1613C2×C22⋊C4C2411yescharacteristic
1614C2×C22⋊C4C2411yescharacteristic
1615C2×C22⋊C4C2412yes—
1616C2×C22⋊C4C2412yes—
1617C2×C22⋊C4C2412yes—
1618C2×C22⋊C4C2412yes—
1619C2×C22⋊C4C2412yes—
1620C2×C22⋊C4C2411yescharacteristic
1621C2×C22⋊C4C2412yes—
1622C2×C22⋊C4C2411yescharacteristic
1623C2×C22⋊C4C2412yes—
1624C2×C22⋊C4C2412yes—
1625C2×C22⋊C4C2412yes—
1626C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1637C2×C22⋊C4C2412yes—
1638C2×C22⋊C4C2412yes—
1639C2×C22⋊C4C2411yescharacteristic
1640C2×C22⋊C4C2411yescharacteristic
1641C2×C22⋊C4C2411yescharacteristic
1642C2×C22⋊C4C2411yescharacteristic
1643C2×C22⋊C4C2411yescharacteristic
1644C2×C22⋊C4C2411yescharacteristic
1645C2×C22⋊C4C2412yes—
1646C2×C22⋊C4C2411yescharacteristic
1647C2×C22⋊C4C2412yes—
1648C2×C22⋊C4C2412yes—
1649C2×C22⋊C4C2411yescharacteristic
1650C2×C22⋊C4C2412yes—
1651C2×C22⋊C4C2412yes—
1652C2×C22⋊C4C2412yes—
1653C2×C22⋊C4C2412yes—
1654C2×C42—42no—
1655C2×C42—82no—
1656C2×C42C2411yescharacteristic
1657C2×C42C2411yescharacteristic
1658C2×C42C2412yes—
1659C2×C42C2411yescharacteristic
1660C2×C42C2411yescharacteristic
1661C2×C42C2411yescharacteristic
1662C2×C42C2412yes—
1663C2×C42C2412yes—
1664C2×C42C2411yescharacteristic
1665C2×C42C2411yescharacteristic
1666C2×C42C2411yescharacteristic
1667C2×C42C2411yescharacteristic
1668C2×C42C2411yescharacteristic
1669C2×C42C2412yes—
1670C2×C42C2412yes—
1671C2×C42C2411yescharacteristic
1672C2×C42C2411yescharacteristic
1673C2×C42C2412yes—
1674C2×C42C2412yes—
1675C2×C42C2412yes—
1676C2×C42C2412yes—
1677C2×C42C2412yes—
1678C2×C42C2412yes—
1679C2×C42C2412yes—
1680C2×C42C2412yes—
1681C2×C42C2412yes—
1682C2×C42C2412yes—
1683C2×C42C2412yes—
1684C2×C42C2411yescharacteristic
1685C2×C42C2411yescharacteristic
1686C2×C42C2412yes—
1687C2×C42C2412yes—
1688C2×C42C2412yes—
1689C2×C42C2412yes—
1690C2×C42C2412yes—
1691C2×C42C2412yes—
1692C2×C42C2412yes—
1693C2×C42C2412yes—
1694C2×C42C2412yes—
1695C2×C42C2411yescharacteristic
1696C2×C42C2412yes—
1697C2×C42C2412yes—
1698C2×C42C2411yescharacteristic
1699C2×C42C2412yes—
1700C2×C42C2412yes—
1701C2×C42C2411yescharacteristic
1702C2×C42C2411yescharacteristic
1703C2×C42C2411yescharacteristic
1704C2×C42C2411yescharacteristic
1705C2×C42C2412yes—
1706C2×C42C2411yescharacteristic
1707C2×C42C2412yes—
1708#95C2411yescharacteristic
1709#95C2412yes—
1710#95C2412yes—
1711#95C2412yes—
1712#95C2412yes—
1713#95C2412yes—
1714#95C2412yes—
1715#95C2412yes—
1716#95C2411yescharacteristic
1717#95C2411yescharacteristic
1718#95C2412yes—
1719#95C2411yescharacteristic
1720#95C2411yescharacteristic
1721#95C2411yescharacteristic
1722#95C2412yes—
1723#95C2412yes—
1724#95C2412yes—
1725#95C2412yes—
1726#95C2412yes—
1727#95C2412yes—
1728#95C2412yes—
1729#95C2412yes—
1730#95C2412yes—
1731#95C2412yes—
1732#95C2411yescharacteristic
1733#95C2411yescharacteristic
1734#95C2411yescharacteristic
1735#95C2411yescharacteristic
1736#95C2411yescharacteristic
1737#95C2411yescharacteristic
1738#95C2412yes—
1739#95C2412yes—
1740#95C2411yescharacteristic
1741#95C2412yes—
1742#95C2412yes—
1743#95C2411yescharacteristic
1744#95C2411yescharacteristic
1745#95C2411yescharacteristic
1746#95C2412yes—
1747#95C2411yescharacteristic
1748#95C2412yes—
1749#95C2412yes—
1750#95C2412yes—
1751#95C2412yes—
1752#95C2412yes—
1753#95C2412yes—
1754#95C2412yes—
1755#95C2411yescharacteristic
1756#95C2411yescharacteristic
1757#95C2412yes—
1758#95C2412yes—
1759#95C2412yes—
1760#95C2412yes—
1761#95C2412yes—
1762#95C2412yes—
1763#95C2411yescharacteristic
1764#95C2412yes—
1765#95C2412yes—
1766#95C2412yes—
1767#95C2412yes—
1768#95C2412yes—
1769#95C2411yescharacteristic
1770#95C2411yescharacteristic
1771#95C2412yes—
1772#95C2412yes—
1773#95C2411yescharacteristic
1774#95C2412yes—
1775#95C2412yes—
1776#95C2412yes—
1777#95C2412yes—
1778#95C2412yes—
1779#95C2412yes—
1780#95C2412yes—
1781#95C2412yes—
1782#95C2411yescharacteristic
1783#95C2412yes—
1784#95C2411yescharacteristic
1785#95C2412yes—
1786#95C2411yescharacteristic
1787#95C2411yescharacteristic
1788#95C2411yescharacteristic
1789#95C2411yescharacteristic
1790#95C2411yescharacteristic
1791#95C2411yescharacteristic
1792#95C2412yes—
1793#95C2411yescharacteristic
1794#95C2411yescharacteristic
1795#95C2411yescharacteristic
1796#95C2412yes—
1797#95C2412yes—
1798#95C2412yes—
1799#95C2412yes—
1800#95C2412yes—
1801#95C2412yes—
1802#95C2411yescharacteristic
1803#95C2412yes—
1804#95C2412yes—
1805#95C2412yes—
1806#95C2411yescharacteristic
1807#95C2412yes—
1808#95C2412yes—
1809#95C2412yes—
1810#95C2411yescharacteristic
1811#95C2411yescharacteristic
1812#95C2411yescharacteristic
1813#95C2411yescharacteristic
1814#95C2411yescharacteristic
1815#95C2412yes—
1816#95C2411yescharacteristic
1817#95C2411yescharacteristic
1818#95C2411yescharacteristic
1819#95C2412yes—
1820#95C2412yes—
1821#95C2412yes—
1822#95C2412yes—
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—24no—
1838C2×Q8—24no—
1839C2×Q8—22no—
1840C2×Q8—24no—
1841C2×Q8—42no—
1842C2×Q8—42no—
1843C2×Q8—42no—
1844C2×Q8—42no—
1845C2×Q8—42no—
1846C2×Q8—42no—
1847C2×Q8—42no—
1848C2×Q8C2×#4118yes—
1849C2×D4—22no—
1850C2×D4—22no—
1851C2×D4—22no—
1852C2×D4—24no—
1853C2×D4—24no—
1854C2×D4—22no—
1855C2×D4—22no—
1856C2×D4—22no—
1857C2×D4—22no—
1858C2×D4—22no—
1859C2×D4—24no—
1860C2×D4—24no—
1861C2×D4—24no—
1862C2×D4—24no—
1863C2×D4—24no—
1864C2×D4—22no—
1865C2×D4—22no—
1866C2×D4—22no—
1867C2×D4—41no—
1868C2×D4—41no—
1869C2×D4—41no—
1870C2×D4—41no—
1871C2×D4—41no—
1872C2×D4—42no—
1873C2×D4—42no—
1874C2×D4—42no—
1875C2×D4—42no—
1876C2×D4—42no—
1877C2×D4—41no—
1878C2×D4—42no—
1879C2×D4—41no—
1880C2×D4—41no—
1881C2×D4—41no—
1882C2×D4—41no—
1883C2×D4—42no—
1884C2×D4—42no—
1885C2×D4—42no—
1886C2×D4—42no—
1887C2×D4—42no—
1888C2×D4—42no—
1889C2×D4—42no—
1890C2×D4—42no—
1891C2×D4—42no—
1892C2×D4—41no—
1893C2×D4—42no—
1894C2×D4—42no—
1895C2×D4—41no—
1896C2×D4—41no—
1897C2×D4—42no—
1898C2×D4—42no—
1899C2×D4—42no—
1900C2×D4—42no—
1901C2×D4—42no—
1902C2×D4—42no—
1903C22×C4—22no—
1904C22×C4—22no—
1905C22×C4—22no—
1906C22×C4—22no—
1907C22×C4—22no—
1908C22×C4—22no—
1909C22×C4—22no—
1910C22×C4—22no—
1911C22×C4—24no—
1912C22×C4—22no—
1913C22×C4—22no—
1914C22×C4—22no—
1915C22×C4—24no—
1916C22×C4—24no—
1917C22×C4—24no—
1918C22×C4—24no—
1919C22×C4—24no—
1920C22×C4—24no—
1921C22×C4—24no—
1922C22×C4—42no—
1923C22×C4—42no—
1924C22×C4—41no—
1925C22×C4—41no—
1926C22×C4—42no—
1927C22×C4—42no—
1928C22×C4—41no—
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—41no—
1940C22×C4—42no—
1941C22×C4—42no—
1942C22×C4—42no—
1943C22×C4—42no—
1944C22×C4—42no—
1945C22×C4—42no—
1946C22×C4—41no—
1947C22×C4—42no—
1948C22×C4—42no—
1949C22×C4—42no—
1950C22×C4—42no—
1951C22×C4—42no—
1952C22×C4—42no—
1953C22×C4C2×#4114yes—
1954C22×C4C2511yescharacteristic
1955C22×C4C2511yescharacteristic
1956C22×C4C2511yescharacteristic
1957C22×C4C2511yescharacteristic
1958C22×C4C2512yes—
1959C22×C4C2511yescharacteristic
1960C22×C4C2511yescharacteristic
1961C22×C4C2512yes—
1962C22×C4C2511yescharacteristic
1963C22×C4C2512yes—
1964C22×C4C2512yes—
1965C22×C4C2511yescharacteristic
1966C22×C4C2512yes—
1967C22×C4C2512yes—
1968C22×C4C2511yescharacteristic
1969C22×C4C2512yes—
1970C22×C4C2511yescharacteristic
1971C22×C4C2511yescharacteristic
1972C22×C4C2511yescharacteristic
1973C22×C4C2511yescharacteristic
1974C22×C4C2511yescharacteristic
1975C22×C4C2512yes—
1976C22×C4C2511yescharacteristic
1977C22×C4C2511yescharacteristic
1978C22×C4C2511yescharacteristic
1979C22×C4C2511yescharacteristic
1980C22×C4C2511yescharacteristic
1981C22×C4C2512yes—
1982C22×C4C2511yescharacteristic
1983C22×C4C2511yescharacteristic
1984C22×C4C2512yes—
1985C22×C4C2511yescharacteristic
1986C22×C4C2512yes—
1987C22×C4C2512yes—
1988C22×C4C2512yes—
1989C22×C4C2511yescharacteristic
1990C22×C4C2512yes—
1991C22×C4C2511yescharacteristic
1992C22×C4C2511yescharacteristic
1993C22×C4C2511yescharacteristic
1994C22×C4C2511yescharacteristic
1995C4⋊C4—22no—
1996C4⋊C4—22no—
1997C4⋊C4—24no—
1998C4⋊C4—24no—
1999C4⋊C4—24no—
2000C4⋊C4—24no—
2001C4⋊C4—22no—
2002C4⋊C4—22no—
2003C4⋊C4—22no—
2004C4⋊C4—24no—
2005C4⋊C4—22no—
2006C4⋊C4—22no—
2007C4⋊C4—22no—
2008C4⋊C4—22no—
2009C4⋊C4—22no—
2010C4⋊C4—22no—
2011C4⋊C4—22no—
2012C4⋊C4—22no—
2013C4⋊C4—24no—
2014C4⋊C4—22no—
2015C4⋊C4—24no—
2016C4⋊C4—24no—
2017C4⋊C4—24no—
2018C4⋊C4—24no—
2019C4⋊C4—24no—
2020C4⋊C4—24no—
2021C4⋊C4—24no—
2022C4⋊C4—24no—
2023C4⋊C4—24no—
2024C4⋊C4—24no—
2025C4⋊C4—24no—
2026C4⋊C4—24no—
2027C4⋊C4—22no—
2028C4⋊C4—22no—
2029C4⋊C4—22no—
2030C4⋊C4—22no—
2031C4⋊C4—24no—
2032C4⋊C4—22no—
2033C4⋊C4—22no—
2034C4⋊C4—42no—
2035C4⋊C4—42no—
2036C4⋊C4—42no—
2037C4⋊C4—42no—
2038C4⋊C4—42no—
2039C4⋊C4—41no—
2040C4⋊C4—41no—
2041C4⋊C4—41no—
2042C4⋊C4—41no—
2043C4⋊C4—41no—
2044C4⋊C4—41no—
2045C4⋊C4—41no—
2046C4⋊C4—41no—
2047C4⋊C4—41no—
2048C4⋊C4—41no—
2049C4⋊C4—42no—
2050C4⋊C4—42no—
2051C4⋊C4—42no—
2052C4⋊C4—42no—
2053C4⋊C4—42no—
2054C4⋊C4—41no—
2055C4⋊C4—41no—
2056C4⋊C4—41no—
2057C4⋊C4—42no—
2058C4⋊C4—42no—
2059C4⋊C4—42no—
2060C4⋊C4—42no—
2061C4⋊C4—42no—
2062C4⋊C4—41no—
2063C4⋊C4—42no—
2064C4⋊C4—41no—
2065C4⋊C4—41no—
2066C4⋊C4—41no—
2067C4⋊C4—42no—
2068C4⋊C4—42no—
2069C4⋊C4—42no—
2070C4⋊C4—42no—
2071C4⋊C4—42no—
2072C4⋊C4—42no—
2073C4⋊C4—41no—
2074C4⋊C4—42no—
2075C4⋊C4—42no—
2076C4⋊C4—41no—
2077C4⋊C4—41no—
2078C4⋊C4—41no—
2079C4⋊C4—41no—
2080C4⋊C4—41no—
2081C4⋊C4—41no—
2082C4⋊C4—42no—
2083C4⋊C4—42no—
2084C4⋊C4—41no—
2085C4⋊C4—42no—
2086C4⋊C4—42no—
2087C4⋊C4C2×#4114yes—
2088C4⋊C4C2×#4114yes—
2089C4⋊C4C2×#4114yes—
2090C4⋊C4C2×#4114yes—
2091C4⋊C4C2×#4118yes—
2092C22⋊C4—22no—
2093C22⋊C4—22no—
2094C22⋊C4—22no—
2095C22⋊C4—24no—
2096C22⋊C4—24no—
2097C22⋊C4—24no—
2098C22⋊C4—24no—
2099C22⋊C4—24no—
2100C22⋊C4—22no—
2101C22⋊C4—22no—
2102C22⋊C4—22no—
2103C22⋊C4—22no—
2104C22⋊C4—24no—
2105C22⋊C4—22no—
2106C22⋊C4—24no—
2107C22⋊C4—24no—
2108C22⋊C4—22no—
2109C22⋊C4—22no—
2110C22⋊C4—24no—
2111C22⋊C4—24no—
2112C22⋊C4—22no—
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—24no—
2126C22⋊C4—22no—
2127C22⋊C4—41no—
2128C22⋊C4—41no—
2129C22⋊C4—42no—
2130C22⋊C4—42no—
2131C22⋊C4—42no—
2132C22⋊C4—42no—
2133C22⋊C4—42no—
2134C22⋊C4—41no—
2135C22⋊C4—41no—
2136C22⋊C4—42no—
2137C22⋊C4—41no—
2138C22⋊C4—41no—
2139C22⋊C4—41no—
2140C22⋊C4—41no—
2141C22⋊C4—41no—
2142C22⋊C4—41no—
2143C22⋊C4—41no—
2144C22⋊C4—41no—
2145C22⋊C4—41no—
2146C22⋊C4—42no—
2147C22⋊C4—41no—
2148C22⋊C4—42no—
2149C22⋊C4—42no—
2150C22⋊C4—42no—
2151C22⋊C4—42no—
2152C22⋊C4—42no—
2153C22⋊C4—41no—
2154C22⋊C4—41no—
2155C22⋊C4—42no—
2156C22⋊C4—42no—
2157C22⋊C4—41no—
2158C22⋊C4—41no—
2159C22⋊C4—41no—
2160C22⋊C4—41no—
2161C22⋊C4—42no—
2162C22⋊C4—42no—
2163C22⋊C4—41no—
2164C22⋊C4—42no—
2165C22⋊C4—42no—
2166C22⋊C4—42no—
2167C22⋊C4—42no—
2168C22⋊C4—41no—
2169C22⋊C4—42no—
2170C22⋊C4—42no—
2171C22⋊C4—41no—
2172C22⋊C4—42no—
2173C22⋊C4—42no—
2174C22⋊C4—42no—
2175C22⋊C4—42no—
2176C22⋊C4—42no—
2177C22⋊C4—41no—
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—41no—
2188C22⋊C4—42no—
2189C22⋊C4—41no—
2190C22⋊C4—41no—
2191C22⋊C4—42no—
2192C22⋊C4—42no—
2193C22⋊C4—41no—
2194C22⋊C4C2×#4118yes—
2195C42—24no—
2196C42—22no—
2197C42—24no—
2198C42—24no—
2199C42—22no—
2200C42—22no—
2201C42—22no—
2202C42—22no—
2203C42—24no—
2204C42—24no—
2205C42—22no—
2206C42—22no—
2207C42—22no—
2208C42—22no—
2209C42—22no—
2210C42—22no—
2211C42—41no—
2212C42—41no—
2213C42—41no—
2214C42—42no—
2215C42—42no—
2216C42—42no—
2217C42—42no—
2218C42—41no—
2219C42—42no—
2220C42—42no—
2221C42—41no—
2222C42—42no—
2223C42—41no—
2224C42—42no—
2225C42—42no—
2226C42—42no—
2227C42—42no—
2228C42—42no—
2229C42—42no—
2230C42—42no—
2231C42—42no—
2232C42—42no—
2233C42—42no—
2234C42—41no—
2235C42—42no—
2236C42—42no—
2237C42—41no—
2238C42—42no—
2239C42—42no—
2240C42—42no—
2241C42—42no—
2242C42—42no—
2243C42—41no—
2244C42—42no—
2245C42C2×#4114yes—
2246C42C2×#4118yes—
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—22no—
2260C23—21no—
2261C23—21no—
2262C23—21no—
2263C23—21no—
2264C23—22no—
2265C23—21no—
2266C23—22no—
2267C23—21no—
2268C23—21no—
2269C23—21no—
2270C23—22no—
2271C23—21no—
2272C23—22no—
2273C23—22no—
2274C23—21no—
2275C23—22no—
2276C23—21no—
2277C23—22no—
2278C23—21no—
2279C23—21no—
2280C23—22no—
2281C23—21no—
2282C23—21no—
2283C23—21no—
2284C23—21no—
2285C23—22no—
2286C23—21no—
2287C23—22no—
2288C23C22×#4112yes—
2289C23C2611yescharacteristic
2290Q8—48no—
2291Q8—48no—
2292Q8—44no—
2293Q8—84no—
2294Q8—84no—
2295D4—44no—
2296D4—44no—
2297D4—44no—
2298D4—44no—
2299D4—84no—
2300D4—84no—
2301D4—84no—
2302D4—84no—
2303D4—84no—
2304D4—82no—
2305D4—84no—
2306D4—82no—
2307D4—84no—
2308D4—82no—
2309D4—82no—
2310D4—84no—
2311D4—162no—
2312D4—162no—
2313C2×C4—21no—
2314C2×C4—21no—
2315C2×C4—21no—
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—22no—
2325C2×C4—21no—
2326C2×C4—22no—
2327C2×C4—21no—
2328C2×C4—22no—
2329C2×C4—28no—
2330C2×C4—21no—
2331C2×C4—21no—
2332C2×C4—21no—
2333C2×C4—21no—
2334C2×C4—22no—
2335C2×C4—21no—
2336C2×C4—21no—
2337C2×C4—22no—
2338C2×C4—22no—
2339C2×C4—21no—
2340C2×C4—22no—
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—22no—
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—21no—
2363C2×C4—21no—
2364C2×C4—21no—
2365C2×C4—21no—
2366C2×C4—21no—
2367C2×C4—22no—
2368C2×C4—21no—
2369C2×C4—22no—
2370C2×C4—22no—
2371C2×C4—22no—
2372C2×C4—21no—
2373C2×C4—21no—
2374C2×C4—22no—
2375C2×C4—22no—
2376C2×C4—22no—
2377C2×C4—21no—
2378C2×C4—22no—
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—21no—
2388C2×C4—21no—
2389C2×C4—21no—
2390C2×C4—22no—
2391C2×C4—21no—
2392C2×C4—21no—
2393C2×C4—22no—
2394C2×C4—22no—
2395C2×C4—22no—
2396C2×C4—21no—
2397C2×C4—21no—
2398C2×C4—22no—
2399C2×C4—22no—
2400C2×C4—21no—
2401C2×C4—21no—
2402C2×C4—21no—
2403C2×C4—22no—
2404C2×C4—21no—
2405C2×C4—22no—
2406C2×C4—21no—
2407C2×C4—22no—
2408C2×C4—22no—
2409C2×C4—21no—
2410C2×C4—21no—
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—22no—
2422C2×C4—21no—
2423C2×C4—21no—
2424C2×C4—21no—
2425C2×C4—21no—
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—84no—
2437C2×C4—82no—
2438C2×C4—82no—
2439C2×C4—84no—
2440C2×C4—162no—
2441C2×C4—162no—
2442C2×C4C22×#4114yes—
2443C2×C4C22×#4114yes—
2444C2×C4C22×#4114yes—
2445C2×C4C22×#4112yes—
2446C2×C4C22×#4112yes—
2447C2×C4C22×#4112yes—
2448C2×C4C22×#4114yes—
2449C2×C4C22×#4112yes—
2450C2×C4C22×#4112yes—
2451C2×C4#58512yes—
2452C2×C4#58512yes—
2453C22—22no—
2454C22—22no—
2455C22—22no—
2456C22—41no—
2457C22—41no—
2458C22—41no—
2459C22—41no—
2460C22—41no—
2461C22—42no—
2462C22—42no—
2463C22—41no—
2464C22—41no—
2465C22—41no—
2466C22—41no—
2467C22—41no—
2468C22—42no—
2469C22—42no—
2470C22—42no—
2471C22—41no—
2472C22—41no—
2473C22—42no—
2474C22—41no—
2475C22—42no—
2476C22—41no—
2477C22—41no—
2478C22—42no—
2479C22—41no—
2480C22—41no—
2481C22—42no—
2482C22—42no—
2483C22—41no—
2484C22—41no—
2485C22—42no—
2486C22—41no—
2487C22—42no—
2488C22—41no—
2489C22—41no—
2490C22—41no—
2491C22—41no—
2492C22—41no—
2493C22—42no—
2494C22—42no—
2495C22C23×#4111yescharacteristic
2496C22C23×#4111yescharacteristic
2497C22C2×#58511yescharacteristic
2498C22C2×#58511yescharacteristic
2499C22H(7,𝔽2)11yescharacteristic
2500C22H(7,𝔽2)11yescharacteristic
2501C222−1+611yescharacteristic
2502C4—22no—
2503C4—24no—
2504C4—22no—
2505C4—22no—
2506C4—24no—
2507C4—24no—
2508C4—24no—
2509C4—22no—
2510C4—41no—
2511C4—41no—
2512C4—42no—
2513C4—41no—
2514C4—42no—
2515C4—42no—
2516C4—41no—
2517C4—41no—
2518C4—41no—
2519C4—41no—
2520C4—41no—
2521C4—42no—
2522C4—41no—
2523C4—42no—
2524C4—41no—
2525C4—42no—
2526C4—41no—
2527C4—41no—
2528C4—41no—
2529C4—41no—
2530C4—42no—
2531C4—41no—
2532C4—41no—
2533C4—41no—
2534C4—42no—
2535C4—41no—
2536C4—42no—
2537C4—41no—
2538C4—41no—
2539C4—41no—
2540C4—41no—
2541C4—42no—
2542C4#348014yes—
2543C2—42no—
2544C2—81no—
2545C2—81no—
2546C2—82no—
2547C2—81no—
2548C2—82no—
2549C2C2×#348011yescharacteristic
2550C2#6284611yescharacteristic
2551C2#6285711yescharacteristic
2552C2#6293811yescharacteristic
2553C2#6300711yescharacteristic
2554C2#6300811yescharacteristic
2555C2#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. #59799C2semidirect
2. #59741C2semidirect
3. #59716C2semidirect
4. #59684C2semidirect
5. #59677C2semidirect
6. #59673C2semidirect
7. #52284C2semidirect
8. #52262C2semidirect
9. #45174C2semidirect
10. #45162C2semidirect
11. #45076C2semidirect
12. #45048C2semidirect
13. #44882C2semidirect
14. #44878C2semidirect
15. #44652C2semidirect
16. #44546C2semidirect
17. #44405C2semidirect
18. #44402C2semidirect
19. #43334C2semidirect
20. #43298C2semidirect
21. #40275C2semidirect
22. #40019C2semidirect
23. #39821C2semidirect
24. #39783C2semidirect
25. #39424C2semidirect
26. #39318C2semidirect
27. #39295C2semidirect
28. #39218C2semidirect
29. #39197C2semidirect
30. #38670C2semidirect
31. #38216C2semidirect
32. #38124C2semidirect
33. #36589C2semidirect
34. #36527C2semidirect
35. #36470C2semidirect
36. #36028C2semidirect
37. #36017C2semidirect
38. #35993C2semidirect
39. #35978C2semidirect
40. #35897C2semidirect
41. #35830C2semidirect
42. #34322C2semidirect
43. #34319C2semidirect
44. #34316C2semidirect
45. #34306C2semidirect
46. #34285C2semidirect
47. #34272C2semidirect
1447. #117#41semidirect

Maximal subgroups

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

subgroupindex
#597992
#597412
#597162
#596842
#596772
#596732
#522842
#522622
#451742
#451622
#450762
#450482
#448822
#448782
#446522
#445462
#444052
#444022
#433342
#432982
#402752
#400192
#398212
#397832
#394242
#393182
#392952
#392182
#391972
#386702
#382162
#381242
#365892
#365272
#364702
#360282
#360172
#359932
#359782
#358972
#358302
#343222
#343192
#343162
#343062
#342852
#342722