Finite Group Databasebeta

← #8757297

Subgroups — #8757297

Order 512.

4135 conjugacy classes of subgroups.

The subgroup lattice has 2120 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58980C211yesmaximal, characteristic, complemented
2#58841C211yesmaximal, characteristic, complemented
3#58783C211yesmaximal, characteristic, complemented
4#58556C212yesmaximal, complemented
5#58549C212yesmaximal, complemented
6#58389C211yesmaximal, characteristic, complemented
7#57791C212yesmaximal, complemented
8#56940C212yesmaximal, complemented
9#56754C212yesmaximal, complemented
10#56636C212yesmaximal, complemented
11#56527C211yesmaximal, characteristic
12#56483C211yesmaximal, characteristic, complemented
13#56270C211yesmaximal, characteristic
14#56074C211yesmaximal, characteristic, complemented
15#54564C212yesmaximal, complemented
16#54258C212yesmaximal, complemented
17#51663C212yesmaximal, complemented
18#51560C212yesmaximal, complemented
19#50555C212yesmaximal, complemented
20#50539C212yesmaximal, complemented
21#49538C212yesmaximal, complemented
22#49323C212yesmaximal, complemented
23#47152C211yesmaximal, characteristic, complemented
24#47140C211yesmaximal, characteristic, complemented
25#47112C212yesmaximal, complemented
26#47109C212yesmaximal, complemented
27#47058C212yesmaximal, complemented
28#47044C212yesmaximal, complemented
29#47034C211yesmaximal, characteristic, complemented
30#47003C211yesmaximal, characteristic, complemented
31#45783C212yesmaximal, complemented
32#45777C212yesmaximal, complemented
33#45771C212yesmaximal, complemented
34#45763C212yesmaximal, complemented
35#45469C212yesmaximal, complemented
36#45446C212yesmaximal, complemented
37#35325C211yesmaximal, characteristic, complemented
38#35311C211yesmaximal, characteristic, complemented
39#35118C211yesmaximal, characteristic
40C2×#563C2212yes—
41C2×#533C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2855C2212yes—
46#2855C2212yes—
47#2855C2212yes—
48#2853C2212yes—
49#2849C2212yes—
50#2848C2212yes—
51#2841C2211yescharacteristic
52#2841C2212yes—
53#2839C2212yescomplemented
54#2839C2212yescomplemented
55#2839C2212yescomplemented
56#2836C2212yes—
57#2835C2211yescharacteristic
58#2833C2212yescomplemented
59#2832C2212yes—
60#2831C2212yes—
61#2831C2212yes—
62#2831C2212yescomplemented
63#2827C2212yes—
64#2827C2212yes—
65#2827C2212yescomplemented
66#2824C2211yescharacteristic
67#2817C2211yescharacteristic
68#2817C2212yes—
69#2814C2212yes—
70#2814C2212yes—
71#2808C2212yes—
72#2806C2212yescomplemented
73#2806C2212yescomplemented
74#2805C2212yescomplemented
75#2800C2212yes—
76#2799C2212yescomplemented
77#2798C2212yes—
78#2796C2212yes—
79#2795C2212yescomplemented
80#2793C2212yescomplemented
81#2793C2212yescomplemented
82#2792C2212yescomplemented
83#2792C2212yescomplemented
84#2791C2212yescomplemented
85#2788C2212yes—
86#2787C2212yes—
87#2787C2212yes—
88#2787C2212yescomplemented
89#2786C2212yes—
90#2783C2212yes—
91#2783C2212yescomplemented
92#2781C2212yescomplemented
93#2780C2212yes—
94#2779C2212yes—
95#2779C2212yes—
96#2777C2212yes—
97#2775C2212yes—
98#2775C2212yes—
99#2775C2212yescomplemented
100#2775C2212yescomplemented
101#2775C2212yescomplemented
102#2774C2212yescomplemented
103#2774C2212yescomplemented
104#2773C2212yes—
105#2771C2212yes—
106#2771C2211yescharacteristic
107#2771C2212yes—
108#2771C2212yescomplemented
109#2769C2212yescomplemented
110#2769C2212yescomplemented
111#2769C2212yescomplemented
112#2769C2212yescomplemented
113#2768C2212yes—
114#2768C2212yescomplemented
115#2767C2212yescomplemented
116#2767C2212yescomplemented
117#2766C2212yescomplemented
118#2766C2212yescomplemented
119#2766C2212yescomplemented
120#2766C2212yescomplemented
121#2764C2211yescharacteristic
122#2764C2212yes—
123#2764C2211yescharacteristic
124#2764C2212yescomplemented
125#2764C2212yescomplemented
126#2763C2211yescharacteristic
127#2763C2212yescomplemented
128#2763C2212yescomplemented
129#2762C2212yescomplemented
130#2762C2212yescomplemented
131#2762C2212yescomplemented
132#2761C2212yes—
133#2760C2211yescharacteristic
134#2759C2212yes—
135#2758C2212yescomplemented
136#2758C2212yescomplemented
137#2758C2212yescomplemented
138#2758C2212yescomplemented
139#2757C2212yes—
140#2756C2212yes—
141#2755C2212yescomplemented
142#2755C2212yescomplemented
143#2754C2212yes—
144#2754C2212yes—
145#2750C2212yes—
146#2750C2212yes—
147#2750C2212yes—
148#2748C2212yes—
149#2746C2212yes—
150#2745C2212yes—
151#2745C2212yescomplemented
152#2744C2212yes—
153#2744C2212yescomplemented
154#2742C2211yescharacteristic
155#2740C2212yes—
156#2739C2212yes—
157#2739C2212yes—
158#2739C2212yes—
159#2738C2212yes—
160#2738C2212yes—
161#2737C2212yes—
162#2735C2212yes—
163#2735C2212yes—
164#2734C2212yescomplemented
165#2729C2212yes—
166#2729C2212yescomplemented
167#2729C2212yescomplemented
168#2728C2212yes—
169#2726C2212yescomplemented
170#2725C2212yescomplemented
171#2725C2212yescomplemented
172#2723C2212yes—
173#2722C2211yescharacteristic
174#2722C2212yescomplemented
175#2720C2212yes—
176#2719C2212yescomplemented
177#2716C2212yescomplemented
178#2716C2212yescomplemented
179#2715C2212yescomplemented
180#2713C2212yescomplemented
181#2713C2212yescomplemented
182#2713C2212yescomplemented
183#2713C2212yescomplemented
184#2713C2212yescomplemented
185#2712C2211yescharacteristic
186#2704C2212yescomplemented
187#2702C2212yes—
188#2701C2212yes—
189#2700C2212yes—
190#2700C2212yes—
191#2700C2212yes—
192#2700C2212yescomplemented
193#2698C2212yes—
194#2698C2212yes—
195#2698C2212yes—
196#2698C2212yes—
197#2698C2212yescomplemented
198#2690C2212yes—
199#2689C2212yes—
200#2689C2212yes—
201#2689C2212yes—
202#2689C2212yes—
203#2687C2212yes—
204#2686C2212yes—
205#2685C2212yes—
206#2684C2212yes—
207#2683C2212yes—
208#2680C2212yes—
209#2677C2212yes—
210#2674C2212yes—
211#2666C2212yescomplemented
212#2666C2212yescomplemented
213#2654C2212yes—
214#2654C2212yes—
215#2654C2212yescomplemented
216#2650C2212yes—
217#2650C2212yescomplemented
218#2650C2212yescomplemented
219#2648C2212yes—
220#2647C2212yescomplemented
221#2647C2212yescomplemented
222#2629C2212yescomplemented
223#2628C2211yescharacteristic
224#2628C2211yescharacteristic
225#2627C2211yescharacteristic
226#2626C2211yescharacteristic
227#2625C2212yes—
228#2625C2212yes—
229#2621C2211yescharacteristic
230#2621C2211yescharacteristic
231#2618C2211yescharacteristic
232#2617C2211yescharacteristic
233#2612C2212yescomplemented
234#2611C2211yescharacteristic
235#2611C2211yescharacteristic
236#2611C2212yes—
237#2611C2212yes—
238#2611C2212yes—
239#2610C2211yescharacteristic
240#2610C2211yescharacteristic
241#2609C2212yes—
242#2609C2212yes—
243#2609C2212yes—
244#2607C2211yescharacteristic
245#2606C2212yescomplemented
246#2605C2212yescomplemented
247#2605C2212yescomplemented
248#2605C2212yescomplemented
249#2605C2212yescomplemented
250#2601C2212yes—
251#2601C2212yes—
252#2600C2211yescharacteristic
253#2599C2211yescharacteristic
254#2599C2211yescharacteristic
255#2599C2211yescharacteristic
256#2599C2211yescharacteristic
257#2599C2211yescharacteristic
258#2599C2211yescharacteristic
259#2598C2211yescharacteristic
260#2598C2211yescharacteristic
261#2596C2212yes—
262#2590C2212yescomplemented
263#2590C2212yescomplemented
264#2588C2212yescomplemented
265#2587C2212yes—
266#2587C2212yescomplemented
267#2587C2212yescomplemented
268#2587C2212yescomplemented
269#2586C2212yescomplemented
270#2583C2211yescharacteristic
271#2583C2211yescharacteristic
272#2578C2212yes—
273#2575C2212yes—
274#2575C2212yes—
275#2574C2212yes—
276#2573C2212yes—
277#2573C2212yes—
278#2572C2212yes—
279#2570C2212yescomplemented
280#2561C2211yescharacteristic
281#2561C2211yescharacteristic
282#2558C2212yes—
283#2556C2212yes—
284#2533C2212yescomplemented
285#2533C2212yescomplemented
286#2532C2212yescomplemented
287#2531C2212yes—
288#2530C2212yes—
289#2530C2212yescomplemented
290#2528C2212yescomplemented
291#2527C2212yes—
292#2527C2212yes—
293#2526C2212yes—
294#2525C2212yes—
295#2525C2212yes—
296#2525C2212yescomplemented
297#2524C2212yescomplemented
298#2523C2211yescharacteristic
299#2522C2212yes—
300#2520C2212yescomplemented
301#2520C2212yescomplemented
302#2517C2211yescharacteristic
303#2516C2212yes—
304#2516C2212yes—
305#2515C2212yes—
306#2515C2212yes—
307#2515C2212yes—
308#2515C2212yescomplemented
309#2513C2212yes—
310#2511C2212yescomplemented
311#2511C2212yescomplemented
312#2510C2212yes—
313#2509C2212yescomplemented
314#2505C2212yescomplemented
315#2503C2212yes—
316#2502C2212yes—
317#2499C2212yes—
318#2499C2212yes—
319#2484C2211yescharacteristic
320#2484C2212yes—
321#2484C2211yescharacteristic
322#2484C2211yescharacteristic
323#2484C2211yescharacteristic
324#2483C2211yescharacteristic
325#2483C2211yescharacteristic
326#2483C2211yescharacteristic
327#2483C2211yescharacteristic
328#2482C2212yes—
329#2481C2212yes—
330#2481C2212yes—
331#2480C2212yes—
332#2480C2212yes—
333#2478C2212yes—
334#2478C2212yes—
335#2478C2212yes—
336#2478C2212yescomplemented
337#2477C2212yes—
338#2477C2212yescomplemented
339#2475C2212yescomplemented
340#2474C2212yes—
341#2474C2212yes—
342#2473C2212yes—
343#2472C2212yes—
344#2470C2212yes—
345#2470C2212yes—
346#2469C2212yescomplemented
347#2469C2212yescomplemented
348#2468C2212yes—
349#2468C2212yes—
350#2466C2212yes—
351#2466C2212yescomplemented
352#2465C2212yescomplemented
353#2462C2212yescomplemented
354#2462C2212yescomplemented
355#2453C2212yescomplemented
356#2451C2212yescomplemented
357#2451C2212yescomplemented
358#2450C2212yescomplemented
359#2449C2212yes—
360#2447C2212yes—
361#2447C2212yes—
362#2446C2212yescomplemented
363#2442C2212yes—
364#2440C2212yes—
365#2439C2212yescomplemented
366#2438C2212yescomplemented
367#2438C2212yescomplemented
368#2434C2212yes—
369#2421C2212yescomplemented
370#2419C2212yes—
371#2418C2212yes—
372#2409C2212yes—
373#2382C2212yescomplemented
374#2378C2212yes—
375#2378C2212yes—
376#2378C2212yescomplemented
377#2376C2212yes—
378#2369C2212yescomplemented
379#2346C2212yescomplemented
380#2337C2212yes—
381#2334C2212yes—
382#2332C2212yes—
383#2323C2212yes—
384#2323C2212yes—
385#2322C2212yes—
386#2321C2212yes—
387#2318C2212yes—
388#2317C2211yescharacteristic
389#2317C2211yescharacteristic
390#2310C2211yescharacteristic
391#2310C2211yescharacteristic
392#2283C2211yescharacteristic
393#2283C2211yescharacteristic
394#2280C2211yescharacteristic
395C23×Q8C2311yescharacteristic
396C24×C4C2311yescharacteristic
397#563—48no—
398#533—44no—
399C2×C4⋊Q8C2311yescharacteristic
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404#529—44no—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#125C2311yescharacteristic
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#124C2312yes—
417C2×#124C2311yescharacteristic
418C2×#124C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×C22⋊Q8—44no—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×#121C2311yescharacteristic
438C2×#120C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2311yescharacteristic
446C2×#117—44no—
447C2×#117C2311yescharacteristic
448C2×#117C2311yescharacteristic
449C2×#117C2311yescharacteristic
450C2×#117C2311yescharacteristic
451C2×#117C2311yescharacteristic
452C2×#117C2311yescharacteristic
453C2×#117C2311yescharacteristic
454C2×#117C2311yescharacteristic
455C2×#117C2312yes—
456C2×#117C2311yescharacteristic
457C2×#117C2312yes—
458C2×#117C2311yescharacteristic
459C2×#117C2312yes—
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C22⋊C4C2311yescharacteristic
466C22×C22⋊C4C2311yescharacteristic
467C22×C22⋊C4C2311yescharacteristic
468C22×C22⋊C4C2311yescharacteristic
469C22×C42C2311yescharacteristic
470C22×C42C2311yescharacteristic
471#401C2312yes—
472#401C2312yes—
473#401C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2311yescharacteristic
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2311yescharacteristic
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2311yescharacteristic
540#399C2311yescharacteristic
541#399C2312yes—
542#399C2312yes—
543#398C2311yescharacteristic
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2311yescharacteristic
565#398C2311yescharacteristic
566#398C2311yescharacteristic
567#398C2311yescharacteristic
568#398C2311yescharacteristic
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#397C2311yescharacteristic
599#397C2311yescharacteristic
600#397C2311yescharacteristic
601#397C2311yescharacteristic
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2311yescharacteristic
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2311yescharacteristic
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#397C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#396C2312yes—
664#396C2312yes—
665#396C2312yes—
666#396C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2311yescharacteristic
679#395C2312yes—
680#395C2312yes—
681#395C2311yescharacteristic
682#395C2311yescharacteristic
683#395C2311yescharacteristic
684#395C2311yescharacteristic
685#395C2312yes—
686#395C2312yes—
687#395C2311yescharacteristic
688#395C2312yes—
689#395C2312yes—
690#395C2312yes—
691#395C2312yes—
692#395C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2311yescharacteristic
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#394C2312yes—
704#394C2311yescharacteristic
705#394C2312yes—
706#394C2312yes—
707#394C2312yes—
708#394C2312yes—
709#393C2311yescharacteristic
710#393C2311yescharacteristic
711#393C2311yescharacteristic
712#393C2311yescharacteristic
713#393C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#393C2312yes—
718#393C2312yes—
719#393C2312yes—
720#393C2311yescharacteristic
721#393C2311yescharacteristic
722#393C2312yes—
723#393C2312yes—
724#393C2312yes—
725#392C2311yescharacteristic
726#392C2311yescharacteristic
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2312yes—
751#391C2312yes—
752#391C2312yes—
753#391C2312yes—
754#391C2312yes—
755#391C2312yes—
756#391C2312yes—
757#391C2312yes—
758#391C2312yes—
759#391C2312yes—
760#391C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#387C2312yes—
969#387C2312yes—
970#387C2312yes—
971#387C2312yes—
972#387C2312yes—
973#387C2312yes—
974#387C2312yes—
975#387C2312yes—
976#387C2312yes—
977#387C2312yes—
978#387C2312yes—
979#387C2312yes—
980#387C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
998#385C2311yescharacteristic
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2311yescharacteristic
1006#385C2311yescharacteristic
1007#385C2311yescharacteristic
1008#385C2311yescharacteristic
1009#385C2311yescharacteristic
1010#385C2311yescharacteristic
1011#385C2311yescharacteristic
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#385C2312yes—
1038#385C2312yes—
1039#385C2312yes—
1040#385C2312yes—
1041#385C2312yes—
1042#385C2312yes—
1043#384C2312yes—
1044#384C2312yes—
1045#384C2312yes—
1046#383C2312yes—
1047#383C2312yes—
1048#383C2312yes—
1049#383C2312yes—
1050#383C2312yes—
1051#383C2312yes—
1052#383C2311yescharacteristic
1053#383C2311yescharacteristic
1054#383C2311yescharacteristic
1055#383C2311yescharacteristic
1056#383C2312yes—
1057#383C2312yes—
1058#383C2312yes—
1059#382C2312yes—
1060#382C2312yes—
1061#382C2312yes—
1062#382C2312yes—
1063#382C2312yes—
1064#382C2312yes—
1065#382C2312yes—
1066#382C2312yes—
1067#382C2312yes—
1068#382C2311yescharacteristic
1069#382C2311yescharacteristic
1070#382C2312yes—
1071#382C2312yes—
1072#382C2312yes—
1073#381C2312yes—
1074#381C2312yes—
1075#381C2311yescharacteristic
1076#381C2312yes—
1077#381C2311yescharacteristic
1078#381C2311yescharacteristic
1079#381C2311yescharacteristic
1080#381C2311yescharacteristic
1081#381C2311yescharacteristic
1082#381C2311yescharacteristic
1083#381C2311yescharacteristic
1084#381C2312yes—
1085#381C2312yes—
1086#381C2312yes—
1087#381C2312yes—
1088#381C2312yes—
1089#381C2312yes—
1090#381C2312yes—
1091#381C2311yescharacteristic
1092#381C2312yes—
1093#381C2311yescharacteristic
1094#381C2312yes—
1095#380C2312yes—
1096#380C2312yes—
1097#380C2312yes—
1098#380C2312yes—
1099#380C2312yes—
1100#380C2312yes—
1101#380C2312yes—
1102#380C2311yescharacteristic
1103#380C2311yescharacteristic
1104#380C2312yes—
1105#380C2312yes—
1106#380C2312yes—
1107#380C2312yes—
1108#380C2312yes—
1109#380C2312yes—
1110#379C2312yes—
1111#379C2312yes—
1112#379C2312yes—
1113#379C2311yescharacteristic
1114#379C2311yescharacteristic
1115C4×C4⋊C4C2312yes—
1116C4×C4⋊C4C2312yes—
1117C4×C4⋊C4C2312yes—
1118C4×C4⋊C4C2312yes—
1119C4×C4⋊C4C2312yes—
1120C4×C4⋊C4C2312yes—
1121C4×C4⋊C4C2312yes—
1122C4×C4⋊C4C2312yes—
1123C4×C4⋊C4C2312yes—
1124C4×C4⋊C4C2312yes—
1125C4×C4⋊C4C2312yes—
1126C4×C4⋊C4C2312yes—
1127C4×C4⋊C4C2312yes—
1128C4×C4⋊C4C2312yes—
1129C4×C4⋊C4C2312yes—
1130C4×C22⋊C4C2311yescharacteristic
1131C4×C22⋊C4C2311yescharacteristic
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2312yes—
1138C4×C22⋊C4C2312yes—
1139C4×C22⋊C4C2312yes—
1140C4×C22⋊C4C2312yes—
1141#376C2312yes—
1142#376C2312yes—
1143#376C2311yescharacteristic
1144#376C2312yes—
1145#376C2311yescharacteristic
1146C2×#95C2312yes—
1147C25C2411yescharacteristic
1148C22×Q8—42no—
1149C22×Q8—42no—
1150C22×Q8—42no—
1151C22×Q8C2412yes—
1152C22×Q8C2412yes—
1153C22×Q8C2412yes—
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2411yescharacteristic
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×D4C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2411yescharacteristic
1162C22×D4C2412yes—
1163C23×C4—24no—
1164C23×C4—42no—
1165C23×C4—42no—
1166C23×C4C2411yescharacteristic
1167C23×C4C2411yescharacteristic
1168C23×C4C2411yescharacteristic
1169C23×C4C2411yescharacteristic
1170C23×C4C2411yescharacteristic
1171C23×C4C2411yescharacteristic
1172C23×C4C2411yescharacteristic
1173C23×C4C2411yescharacteristic
1174C23×C4C2411yescharacteristic
1175C23×C4C2411yescharacteristic
1176C23×C4C2411yescharacteristic
1177C23×C4C2411yescharacteristic
1178C23×C4C2411yescharacteristic
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2411yescharacteristic
1183C4⋊Q8—42no—
1184C4⋊Q8—42no—
1185C4⋊Q8—44no—
1186C4⋊Q8—44no—
1187C4⋊Q8—44no—
1188#126—44no—
1189#126—44no—
1190#126—44no—
1191#126—44no—
1192#126—44no—
1193#126—44no—
1194#125—44no—
1195#125—42no—
1196#125—44no—
1197#125—44no—
1198#125—44no—
1199#124—42no—
1200#124—44no—
1201#124—44no—
1202#123—28no—
1203#123—44no—
1204#123—44no—
1205C22⋊Q8—28no—
1206C22⋊Q8—28no—
1207C22⋊Q8—44no—
1208C22⋊Q8—44no—
1209C22⋊Q8—44no—
1210C22⋊Q8—42no—
1211C22⋊Q8—42no—
1212C22⋊Q8—42no—
1213C22⋊Q8—44no—
1214C22⋊Q8—44no—
1215C22⋊Q8—44no—
1216C22⋊Q8—44no—
1217C22⋊Q8—44no—
1218C22⋊Q8—44no—
1219#121—42no—
1220#120—44no—
1221C4×Q8—42no—
1222C4×Q8—42no—
1223C4×Q8—42no—
1224C4×Q8—44no—
1225C4×D4—42no—
1226C4×D4—44no—
1227C4×D4—44no—
1228#117—42no—
1229#117—42no—
1230#117—42no—
1231#117—42no—
1232#117—42no—
1233#117—42no—
1234#117—42no—
1235#117—42no—
1236#117—42no—
1237#117—44no—
1238#117—44no—
1239#117—42no—
1240#117—44no—
1241C2×C4⋊C4—42no—
1242C2×C4⋊C4—42no—
1243C2×C4⋊C4—42no—
1244C2×C4⋊C4—42no—
1245C2×C4⋊C4—42no—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2411yescharacteristic
1259C2×C4⋊C4C2411yescharacteristic
1260C2×C4⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C22⋊C4—42no—
1344C2×C22⋊C4—42no—
1345C2×C22⋊C4—42no—
1346C2×C22⋊C4—42no—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2411yescharacteristic
1354C2×C22⋊C4C2411yescharacteristic
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2411yescharacteristic
1361C2×C22⋊C4C2411yescharacteristic
1362C2×C22⋊C4C2411yescharacteristic
1363C2×C22⋊C4C2411yescharacteristic
1364C2×C22⋊C4C2411yescharacteristic
1365C2×C22⋊C4C2411yescharacteristic
1366C2×C22⋊C4C2411yescharacteristic
1367C2×C22⋊C4C2411yescharacteristic
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2411yescharacteristic
1372C2×C22⋊C4C2411yescharacteristic
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C42—24no—
1413C2×C42—24no—
1414C2×C42C2411yescharacteristic
1415C2×C42C2411yescharacteristic
1416C2×C42C2411yescharacteristic
1417C2×C42C2411yescharacteristic
1418C2×C42C2411yescharacteristic
1419C2×C42C2411yescharacteristic
1420C2×C42C2412yes—
1421C2×C42C2411yescharacteristic
1422C2×C42C2411yescharacteristic
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2411yescharacteristic
1453#95C2412yes—
1454#95C2411yescharacteristic
1455#95C2412yes—
1456#95C2412yes—
1457#95C2411yescharacteristic
1458#95C2411yescharacteristic
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2411yescharacteristic
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2411yescharacteristic
1478#95C2412yes—
1479#95C2412yes—
1480#95C2411yescharacteristic
1481#95C2411yescharacteristic
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577C24—22no—
1578C24—22no—
1579C24—41no—
1580C24—42no—
1581C24—42no—
1582C24C2511yescharacteristic
1583C24C2512yes—
1584C24C2511yescharacteristic
1585C24C2511yescharacteristic
1586C2×Q8—24no—
1587C2×Q8—24no—
1588C2×Q8—24no—
1589C2×Q8—41no—
1590C2×Q8—41no—
1591C2×Q8—41no—
1592C2×Q8—42no—
1593C2×Q8—42no—
1594C2×Q8—42no—
1595C2×Q8—42no—
1596C2×Q8—42no—
1597C2×Q8—42no—
1598C2×Q8—42no—
1599C2×Q8—42no—
1600C2×Q8—42no—
1601C2×Q8—42no—
1602C2×Q8—42no—
1603C2×Q8—42no—
1604C2×Q8—42no—
1605C2×Q8—42no—
1606C2×Q8—42no—
1607C2×Q8—88no—
1608C2×D4—24no—
1609C2×D4—24no—
1610C2×D4—41no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C22×C4—22no—
1620C22×C4—22no—
1621C22×C4—22no—
1622C22×C4—22no—
1623C22×C4—22no—
1624C22×C4—22no—
1625C22×C4—22no—
1626C22×C4—22no—
1627C22×C4—22no—
1628C22×C4—22no—
1629C22×C4—22no—
1630C22×C4—22no—
1631C22×C4—22no—
1632C22×C4—22no—
1633C22×C4—22no—
1634C22×C4—22no—
1635C22×C4—41no—
1636C22×C4—41no—
1637C22×C4—41no—
1638C22×C4—41no—
1639C22×C4—41no—
1640C22×C4—41no—
1641C22×C4—41no—
1642C22×C4—42no—
1643C22×C4—41no—
1644C22×C4—41no—
1645C22×C4—41no—
1646C22×C4—41no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—41no—
1659C22×C4—41no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—416no—
1664C22×C4H(5,𝔽2)14yes—
1665C22×C4C2512yes—
1666C22×C4C2511yescharacteristic
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2511yescharacteristic
1673C22×C4C2511yescharacteristic
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2511yescharacteristic
1683C22×C4C2511yescharacteristic
1684C22×C4C2511yescharacteristic
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2511yescharacteristic
1689C22×C4C2511yescharacteristic
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2511yescharacteristic
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2511yescharacteristic
1698C22×C4C2511yescharacteristic
1699C22×C4C2511yescharacteristic
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—41no—
1712C4⋊C4—41no—
1713C4⋊C4—41no—
1714C4⋊C4—41no—
1715C4⋊C4—41no—
1716C4⋊C4—41no—
1717C4⋊C4—41no—
1718C4⋊C4—41no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—41no—
1764C4⋊C4—42no—
1765C4⋊C4—41no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—41no—
1769C4⋊C4—41no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—22no—
1803C22⋊C4—22no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—41no—
1811C22⋊C4—41no—
1812C22⋊C4—41no—
1813C22⋊C4—41no—
1814C22⋊C4—41no—
1815C22⋊C4—41no—
1816C22⋊C4—41no—
1817C22⋊C4—41no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—41no—
1845C22⋊C4—41no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C42—22no—
1863C42—22no—
1864C42—22no—
1865C42—22no—
1866C42—22no—
1867C42—22no—
1868C42—22no—
1869C42—22no—
1870C42—24no—
1871C42—42no—
1872C42—42no—
1873C42—42no—
1874C42—42no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C42—42no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C23—21no—
1894C23—21no—
1895C23—21no—
1896C23—21no—
1897C23—22no—
1898C23—22no—
1899C23—22no—
1900C23—22no—
1901C23—22no—
1902C23—21no—
1903C23—22no—
1904C23—21no—
1905C23—22no—
1906C23—21no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—44no—
1914C23—44no—
1915C23—84no—
1916C23—82no—
1917C23—84no—
1918C23C2×H(5,𝔽2)12yes—
1919C23#58512yes—
1920C23C2611yescharacteristic
1921Q8—84no—
1922Q8—84no—
1923Q8—84no—
1924Q8—82no—
1925Q8—82no—
1926Q8—82no—
1927Q8—162no—
1928Q8—162no—
1929D4—84no—
1930D4—84no—
1931D4—82no—
1932D4—162no—
1933C2×C4—28no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—21no—
1942C2×C4—21no—
1943C2×C4—21no—
1944C2×C4—21no—
1945C2×C4—21no—
1946C2×C4—21no—
1947C2×C4—21no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—21no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—21no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—21no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—44no—
2029C2×C4—44no—
2030C2×C4—44no—
2031C2×C4—44no—
2032C2×C4—44no—
2033C2×C4—44no—
2034C2×C4—82no—
2035C2×C4—82no—
2036C2×C4—82no—
2037C2×C4—82no—
2038C2×C4—82no—
2039C2×C4—84no—
2040C2×C4—82no—
2041C2×C4—82no—
2042C2×C4—84no—
2043C2×C4—162no—
2044C2×C4C2×H(5,𝔽2)12yes—
2045C2×C4C2×H(5,𝔽2)12yes—
2046C2×C4#58512yes—
2047C22—24no—
2048C22—22no—
2049C22—22no—
2050C22—22no—
2051C22—22no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—41no—
2056C22—41no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22—41no—
2064C22—42no—
2065C22—42no—
2066C22—42no—
2067C22—41no—
2068C22—41no—
2069C22—88no—
2070C22C22×H(5,𝔽2)11yescharacteristic
2071C22C2×#58511yescharacteristic
2072C22C2×#58511yescharacteristic
2073C222−1+612yes—
2074C222−1+612yes—
2075C4—22no—
2076C4—22no—
2077C4—22no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—42no—
2085C4—42no—
2086C4—42no—
2087C4—42no—
2088C4—42no—
2089C4—42no—
2090C4—41no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C4—42no—
2096C4—41no—
2097C4—41no—
2098C4—41no—
2099C4—41no—
2100C4—41no—
2101C4—42no—
2102C4—42no—
2103C4—42no—
2104C4—41no—
2105C4—41no—
2106C4—41no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C2—42no—
2111C2—42no—
2112C2—82no—
2113C2—81no—
2114C2#6282011yescharacteristic
2115C2#6288611yescharacteristic
2116C2#6288611yescharacteristic
2117C2#6305312yes—
2118C2#6306412yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2617C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58980C2semidirect
2. #58841C2semidirect
3. #58783C2semidirect
4. #58556C2semidirect
5. #58549C2semidirect
6. #58389C2semidirect
7. #57791C2semidirect
8. #56940C2semidirect
9. #56754C2semidirect
10. #56636C2semidirect
12. #56483C2semidirect
14. #56074C2semidirect
15. #54564C2semidirect
16. #54258C2semidirect
17. #51663C2semidirect
18. #51560C2semidirect
19. #50555C2semidirect
20. #50539C2semidirect
21. #49538C2semidirect
22. #49323C2semidirect
23. #47152C2semidirect
24. #47140C2semidirect
25. #47112C2semidirect
26. #47109C2semidirect
27. #47058C2semidirect
28. #47044C2semidirect
29. #47034C2semidirect
30. #47003C2semidirect
31. #45783C2semidirect
32. #45777C2semidirect
33. #45771C2semidirect
34. #45763C2semidirect
35. #45469C2semidirect
36. #45446C2semidirect
37. #35325C2semidirect
38. #35311C2semidirect
53. #2839C22semidirect
54. #2839C22semidirect
55. #2839C22semidirect
58. #2833C22semidirect
62. #2831C22semidirect
65. #2827C22semidirect
72. #2806C22semidirect
73. #2806C22semidirect
74. #2805C22semidirect
76. #2799C22semidirect
79. #2795C22semidirect
80. #2793C22semidirect
81. #2793C22semidirect
82. #2792C22semidirect
83. #2792C22semidirect
84. #2791C22semidirect
88. #2787C22semidirect
91. #2783C22semidirect
92. #2781C22semidirect
99. #2775C22semidirect
100. #2775C22semidirect
101. #2775C22semidirect
102. #2774C22semidirect
103. #2774C22semidirect
108. #2771C22semidirect
109. #2769C22semidirect
110. #2769C22semidirect
111. #2769C22semidirect
112. #2769C22semidirect
114. #2768C22semidirect
115. #2767C22semidirect
116. #2767C22semidirect
117. #2766C22semidirect
118. #2766C22semidirect
119. #2766C22semidirect
120. #2766C22semidirect
124. #2764C22semidirect
125. #2764C22semidirect
127. #2763C22semidirect
128. #2763C22semidirect
129. #2762C22semidirect
130. #2762C22semidirect
131. #2762C22semidirect
135. #2758C22semidirect
136. #2758C22semidirect
137. #2758C22semidirect
138. #2758C22semidirect
141. #2755C22semidirect
142. #2755C22semidirect
151. #2745C22semidirect
153. #2744C22semidirect
164. #2734C22semidirect
166. #2729C22semidirect
167. #2729C22semidirect
169. #2726C22semidirect
170. #2725C22semidirect
171. #2725C22semidirect
174. #2722C22semidirect
176. #2719C22semidirect
177. #2716C22semidirect
178. #2716C22semidirect
179. #2715C22semidirect
180. #2713C22semidirect
181. #2713C22semidirect
182. #2713C22semidirect
183. #2713C22semidirect
184. #2713C22semidirect
186. #2704C22semidirect
192. #2700C22semidirect
197. #2698C22semidirect
211. #2666C22semidirect
212. #2666C22semidirect
215. #2654C22semidirect
217. #2650C22semidirect
218. #2650C22semidirect
220. #2647C22semidirect
221. #2647C22semidirect
222. #2629C22semidirect
233. #2612C22semidirect
245. #2606C22semidirect
246. #2605C22semidirect
247. #2605C22semidirect
248. #2605C22semidirect
249. #2605C22semidirect
262. #2590C22semidirect
263. #2590C22semidirect
264. #2588C22semidirect
266. #2587C22semidirect
267. #2587C22semidirect
268. #2587C22semidirect
269. #2586C22semidirect
279. #2570C22semidirect
284. #2533C22semidirect
285. #2533C22semidirect
286. #2532C22semidirect
289. #2530C22semidirect
290. #2528C22semidirect
296. #2525C22semidirect
297. #2524C22semidirect
300. #2520C22semidirect
301. #2520C22semidirect
308. #2515C22semidirect
310. #2511C22semidirect
311. #2511C22semidirect
313. #2509C22semidirect
314. #2505C22semidirect
336. #2478C22semidirect
338. #2477C22semidirect
339. #2475C22semidirect
346. #2469C22semidirect
347. #2469C22semidirect
351. #2466C22semidirect
352. #2465C22semidirect
353. #2462C22semidirect
354. #2462C22semidirect
355. #2453C22semidirect
356. #2451C22semidirect
357. #2451C22semidirect
358. #2450C22semidirect
362. #2446C22semidirect
365. #2439C22semidirect
366. #2438C22semidirect
367. #2438C22semidirect
369. #2421C22semidirect
373. #2382C22semidirect
376. #2378C22semidirect
378. #2369C22semidirect
379. #2346C22semidirect

Maximal subgroups

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

subgroupindex
#589802
#588412
#587832
#585562
#585492
#583892
#577912
#569402
#567542
#566362
#565272
#564832
#562702
#560742
#545642
#542582
#516632
#515602
#505552
#505392
#495382
#493232
#471522
#471402
#471122
#471092
#470582
#470442
#470342
#470032
#457832
#457772
#457712
#457632
#454692
#454462
#353252
#353112
#351182