Finite Group Databasebeta

← #8075571

Subgroups — #8075571

Order 512.

4361 conjugacy classes of subgroups.

The subgroup lattice has 2060 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60018C212yesmaximal, complemented
2#59879C211yesmaximal, characteristic, complemented
3#59877C211yesmaximal, characteristic, complemented
4#59836C211yesmaximal, characteristic
5#59736C212yesmaximal, complemented
6#59705C212yesmaximal, complemented
7#51738C212yesmaximal, complemented
8#51730C212yesmaximal, complemented
9#51589C212yesmaximal, complemented
10#51561C212yesmaximal, complemented
11#51560C212yesmaximal, complemented
12#49152C212yesmaximal, complemented
13#49148C212yesmaximal, complemented
14#48370C212yesmaximal, complemented
15#48369C212yesmaximal, complemented
16#46976C212yesmaximal, complemented
17#46657C212yesmaximal, complemented
18#46579C212yesmaximal, complemented
19#43818C212yesmaximal, complemented
20#43794C212yesmaximal, complemented
21#43791C212yesmaximal
22#43704C212yesmaximal, complemented
23#43665C212yesmaximal, complemented
24#43408C212yesmaximal, complemented
25#43203C212yesmaximal, complemented
26#43123C212yesmaximal, complemented
27#43059C212yesmaximal, complemented
28#39633C211yesmaximal, characteristic, complemented
29#39513C211yesmaximal, characteristic, complemented
30#39497C211yesmaximal, characteristic, complemented
31#39257C212yesmaximal, complemented
32#38807C212yesmaximal, complemented
33#38568C212yesmaximal, complemented
34#34523C211yesmaximal, characteristic, complemented
35#34479C212yesmaximal, complemented
36C2×#563C2211yescharacteristic
37C2×#551C2212yes—
38#2868C2211yescharacteristic, complemented
39#2855C2212yescomplemented
40#2827C2212yes—
41#2810C2211yescharacteristic, complemented
42#2809C2211yescharacteristic, complemented
43#2808C2211yescharacteristic
44#2805C2211yescharacteristic, complemented
45#2799C2212yescomplemented
46#2798C2212yescomplemented
47#2793C2212yescomplemented
48#2793C2212yescomplemented
49#2793C2212yescomplemented
50#2793C2212yescomplemented
51#2793C2212yescomplemented
52#2793C2212yescomplemented
53#2791C2212yescomplemented
54#2790C2212yescomplemented
55#2790C2212yescomplemented
56#2790C2212yescomplemented
57#2790C2212yescomplemented
58#2790C2212yescomplemented
59#2788C2212yescomplemented
60#2787C2212yescomplemented
61#2787C2212yescomplemented
62#2786C2212yes—
63#2783C2212yescomplemented
64#2781C2212yes—
65#2780C2212yes—
66#2780C2212yes—
67#2779C2212yes—
68#2779C2212yes—
69#2779C2212yes—
70#2777C2212yescomplemented
71#2777C2212yescomplemented
72#2776C2212yescomplemented
73#2776C2212yescomplemented
74#2776C2212yescomplemented
75#2772C2212yescomplemented
76#2770C2212yescomplemented
77#2769C2212yescomplemented
78#2769C2212yescomplemented
79#2768C2212yescomplemented
80#2768C2212yescomplemented
81#2767C2212yescomplemented
82#2767C2212yescomplemented
83#2762C2212yescomplemented
84#2761C2212yes—
85#2757C2212yes—
86#2757C2212yes—
87#2757C2212yes—
88#2757C2212yes—
89#2750C2212yes—
90#2750C2212yes—
91#2750C2212yes—
92#2748C2212yes—
93#2747C2212yescomplemented
94#2747C2212yescomplemented
95#2745C2212yescomplemented
96#2744C2212yescomplemented
97#2744C2212yescomplemented
98#2740C2212yes—
99#2739C2212yescomplemented
100#2735C2212yescomplemented
101#2732C2211yescharacteristic
102#2732C2211yescharacteristic
103#2732C2211yescharacteristic
104#2729C2212yescomplemented
105#2729C2212yescomplemented
106#2729C2212yescomplemented
107#2729C2212yescomplemented
108#2729C2212yescomplemented
109#2729C2212yescomplemented
110#2728C2212yes—
111#2727C2211yescharacteristic
112#2726C2211yescharacteristic, complemented
113#2725C2212yescomplemented
114#2725C2212yescomplemented
115#2724C2211yescharacteristic
116#2724C2212yes—
117#2724C2211yescharacteristic
118#2722C2212yescomplemented
119#2722C2212yescomplemented
120#2722C2212yescomplemented
121#2719C2212yescomplemented
122#2715C2212yes—
123#2704C2212yescomplemented
124#2700C2212yes—
125#2697C2212yes—
126#2697C2212yes—
127#2695C2212yes—
128#2695C2212yes—
129#2690C2212yescomplemented
130#2690C2212yescomplemented
131#2690C2212yescomplemented
132#2689C2212yescomplemented
133#2689C2212yescomplemented
134#2687C2212yes—
135#2687C2212yes—
136#2679C2211yescharacteristic
137#2666C2212yescomplemented
138#2666C2212yescomplemented
139#2664C2212yescomplemented
140#2653C2212yes—
141#2647C2212yescomplemented
142#2647C2212yescomplemented
143#2629C2212yescomplemented
144#2629C2212yescomplemented
145#2625C2212yescomplemented
146#2611C2212yescomplemented
147#2611C2212yescomplemented
148#2611C2212yescomplemented
149#2609C2212yes—
150#2608C2212yescomplemented
151#2607C2212yescomplemented
152#2606C2212yescomplemented
153#2606C2212yescomplemented
154#2601C2212yes—
155#2599C2212yescomplemented
156#2596C2212yescomplemented
157#2596C2212yescomplemented
158#2596C2212yescomplemented
159#2594C2212yescomplemented
160#2594C2212yescomplemented
161#2594C2212yescomplemented
162#2593C2212yes—
163#2590C2212yescomplemented
164#2590C2212yescomplemented
165#2589C2212yescomplemented
166#2588C2212yescomplemented
167#2587C2212yescomplemented
168#2587C2212yescomplemented
169#2587C2212yescomplemented
170#2585C2212yescomplemented
171#2585C2212yescomplemented
172#2585C2212yescomplemented
173#2582C2211yescharacteristic, complemented
174#2579C2212yes—
175#2578C2212yes—
176#2578C2212yes—
177#2577C2212yescomplemented
178#2577C2212yescomplemented
179#2577C2212yescomplemented
180#2576C2212yes—
181#2575C2212yescomplemented
182#2574C2212yescomplemented
183#2573C2212yescomplemented
184#2573C2212yescomplemented
185#2573C2212yescomplemented
186#2573C2212yescomplemented
187#2573C2212yescomplemented
188#2572C2212yes—
189#2571C2211yescharacteristic, complemented
190#2569C2212yescomplemented
191#2566C2212yes—
192#2560C2212yes—
193#2556C2212yescomplemented
194#2556C2212yescomplemented
195#2553C2212yes—
196#2553C2212yes—
197#2552C2211yescharacteristic, complemented
198#2550C2212yescomplemented
199#2547C2211yescharacteristic
200#2547C2211yescharacteristic
201#2545C2212yes—
202#2545C2212yes—
203#2538C2212yes—
204#2538C2211yescharacteristic
205#2536C2212yes—
206#2536C2212yes—
207#2534C2212yes—
208#2534C2212yes—
209#2534C2212yes—
210#2533C2212yescomplemented
211#2533C2212yescomplemented
212#2532C2212yescomplemented
213#2530C2212yescomplemented
214#2530C2212yescomplemented
215#2530C2212yescomplemented
216#2528C2212yescomplemented
217#2528C2212yescomplemented
218#2527C2212yescomplemented
219#2526C2212yes—
220#2526C2212yes—
221#2526C2212yes—
222#2524C2212yescomplemented
223#2524C2212yescomplemented
224#2523C2212yescomplemented
225#2522C2212yescomplemented
226#2521C2212yes—
227#2519C2212yescomplemented
228#2518C2212yes—
229#2518C2212yes—
230#2515C2212yescomplemented
231#2515C2212yescomplemented
232#2515C2212yescomplemented
233#2510C2212yes—
234#2507C2212yescomplemented
235#2505C2212yescomplemented
236#2502C2212yescomplemented
237#2497C2212yescomplemented
238#2497C2212yescomplemented
239#2497C2212yescomplemented
240#2495C2212yescomplemented
241#2494C2212yescomplemented
242#2493C2212yescomplemented
243#2493C2212yescomplemented
244#2492C2212yescomplemented
245#2486C2212yes—
246#2484C2212yescomplemented
247#2483C2212yescomplemented
248#2481C2212yes—
249#2481C2212yes—
250#2481C2212yes—
251#2480C2212yescomplemented
252#2480C2212yescomplemented
253#2480C2212yescomplemented
254#2480C2212yescomplemented
255#2480C2212yescomplemented
256#2475C2212yescomplemented
257#2475C2212yescomplemented
258#2474C2212yes—
259#2473C2212yescomplemented
260#2473C2212yescomplemented
261#2472C2212yes—
262#2472C2212yes—
263#2472C2212yes—
264#2472C2212yes—
265#2469C2212yescomplemented
266#2469C2212yescomplemented
267#2468C2212yes—
268#2468C2212yes—
269#2466C2212yes—
270#2466C2212yes—
271#2466C2212yes—
272#2465C2212yescomplemented
273#2465C2212yescomplemented
274#2462C2212yescomplemented
275#2460C2212yes—
276#2460C2212yes—
277#2460C2212yes—
278#2453C2212yescomplemented
279#2452C2212yes—
280#2452C2212yes—
281#2451C2212yescomplemented
282#2450C2212yes—
283#2450C2212yes—
284#2449C2212yes—
285#2449C2212yes—
286#2449C2212yes—
287#2446C2212yescomplemented
288#2446C2212yescomplemented
289#2442C2212yescomplemented
290#2440C2212yescomplemented
291#2440C2212yescomplemented
292#2439C2212yescomplemented
293#2437C2212yescomplemented
294#2437C2212yescomplemented
295#2437C2212yescomplemented
296#2429C2212yescomplemented
297#2429C2212yescomplemented
298#2421C2212yescomplemented
299#2419C2212yes—
300#2418C2212yes—
301#2418C2212yes—
302#2401C2212yescomplemented
303#2398C2212yes—
304C2×#396C2212yescomplemented
305#2383C2212yescomplemented
306#2382C2211yescharacteristic, complemented
307#2382C2211yescharacteristic, complemented
308#2379C2211yescharacteristic
309#2378C2212yescomplemented
310#2376C2212yes—
311#2374C2212yes—
312#2374C2212yes—
313#2374C2212yes—
314#2373C2212yescomplemented
315#2373C2212yescomplemented
316#2373C2212yescomplemented
317#2373C2212yescomplemented
318#2370C2212yescomplemented
319#2369C2212yescomplemented
320#2368C2212yescomplemented
321#2368C2212yescomplemented
322#2368C2212yescomplemented
323#2365C2211yescharacteristic, complemented
324#2365C2211yescharacteristic, complemented
325#2360C2212yescomplemented
326#2360C2212yescomplemented
327#2360C2212yescomplemented
328#2359C2212yes—
329#2359C2212yes—
330#2358C2212yes—
331#2358C2212yes—
332#2358C2212yes—
333#2358C2212yes—
334#2356C2212yescomplemented
335#2354C2211yescharacteristic
336#2354C2212yes—
337Q8×C4⋊C4C2211yescharacteristic, complemented
338#2349C2212yes—
339D4×C4⋊C4C2211yescharacteristic
340D4×C4⋊C4C2211yescharacteristic
341#2346C2212yescomplemented
342#2343C2212yescomplemented
343#2342C2212yescomplemented
344#2342C2212yescomplemented
345#2342C2212yescomplemented
346#2335C2212yes—
347#2335C2212yes—
348#2334C2212yescomplemented
349#2334C2212yescomplemented
350#2334C2212yescomplemented
351#2334C2212yescomplemented
352#2332C2212yescomplemented
353#2332C2212yescomplemented
354#2329C2212yescomplemented
355#2327C2212yescomplemented
356#2326C2212yes—
357#2323C2212yescomplemented
358#2322C2212yes—
359#2322C2212yes—
360#2321C2212yes—
361#2321C2212yes—
362#2318C2212yes—
363#2317C2212yescomplemented
364#2315C2212yescomplemented
365#2314C2212yescomplemented
366#2313C2212yescomplemented
367C4×#125C2211yescharacteristic, complemented
368C4×#125C2211yescharacteristic, complemented
369C4×#124C2211yescharacteristic
370C4×C22⋊Q8C2212yescomplemented
371C4×C22⋊Q8C2212yescomplemented
372C4×#123C2212yes—
373#2295C2211yescharacteristic, complemented
374#2293C2211yescharacteristic
375#2293C2211yescharacteristic
376#2290C2212yes—
377#2290C2212yes—
378C2×#388C2212yescomplemented
379#563—28no—
380#551—216no—
381C2×C4⋊Q8C2312yes—
382C2×C4⋊Q8C2311yescharacteristic
383C2×C4⋊Q8C2311yescharacteristic
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#125C2311yescharacteristic
394C2×#125C2311yescharacteristic
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2311yescharacteristic
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×#120C2312yes—
420C2×#120C2312yes—
421C2×#120C2312yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2312yes—
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C22⋊C4C2312yes—
448C22×C22⋊C4C2312yes—
449C22×C22⋊C4C2312yes—
450C22×C22⋊C4C2312yes—
451C22×C22⋊C4C2312yes—
452C22×C22⋊C4C2312yes—
453C22×C22⋊C4C2312yes—
454C22×C42C2312yes—
455#401C2312yes—
456#401C2312yes—
457#401C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
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#399C2312yes—
496#399C2312yes—
497#399C2312yes—
498#399C2312yes—
499#399C2312yes—
500#399C2312yes—
501#398C2312yes—
502#398C2312yes—
503#398C2312yes—
504#398C2312yes—
505#398C2312yes—
506#398C2312yes—
507#398C2312yes—
508#398C2312yes—
509#398C2312yes—
510#398C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#393C2312yes—
629#393C2312yes—
630#393C2312yes—
631#393C2312yes—
632#393C2312yes—
633#393C2312yes—
634#393C2312yes—
635#391C2312yes—
636#391C2312yes—
637#391C2311yescharacteristic
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2312yes—
642#391C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2311yescharacteristic
654#391C2311yescharacteristic
655#390C2312yes—
656#390C2311yescharacteristic
657#390C2312yes—
658#390C2312yes—
659#390C2312yes—
660#390C2312yes—
661#390C2311yescharacteristic
662#390C2311yescharacteristic
663#390C2312yes—
664#390C2311yescharacteristic
665#390C2311yescharacteristic
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2311yescharacteristic
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2311yescharacteristic
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2311yescharacteristic
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2311yescharacteristic
716#389C2311yescharacteristic
717#389C2312yes—
718#389C2312yes—
719#389C2311yescharacteristic
720#389C2311yescharacteristic
721#388C2312yes—
722#388C2312yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#388C2312yes—
729#388C2312yes—
730#388C2312yes—
731#388C2312yes—
732#388C2312yes—
733#388C2312yes—
734#388C2312yes—
735#388C2312yes—
736#388C2312yes—
737#388C2312yes—
738#388C2312yes—
739#388C2312yes—
740#388C2312yes—
741#388C2312yes—
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#387C2312yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
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#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#385C2312yes—
916#385C2312yes—
917#385C2312yes—
918#385C2312yes—
919#385C2312yes—
920#385C2312yes—
921#385C2312yes—
922#385C2312yes—
923#385C2312yes—
924#385C2312yes—
925#385C2312yes—
926#385C2312yes—
927#385C2312yes—
928#385C2312yes—
929#385C2312yes—
930#385C2312yes—
931#385C2312yes—
932#385C2312yes—
933#385C2312yes—
934#385C2312yes—
935#385C2312yes—
936#385C2312yes—
937#385C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#384C2312yes—
968#384C2312yes—
969#384C2311yescharacteristic
970#384C2312yes—
971#384C2311yescharacteristic
972#384C2311yescharacteristic
973#384C2312yes—
974#384C2311yescharacteristic
975#383C2312yes—
976#383C2312yes—
977#383C2312yes—
978#383C2312yes—
979#383C2312yes—
980#383C2312yes—
981#383C2312yes—
982#383C2312yes—
983#382C2311yescharacteristic
984#382C2311yescharacteristic
985#382C2312yes—
986#382C2312yes—
987#382C2312yes—
988#382C2312yes—
989#382C2312yes—
990#382C2312yes—
991#382C2311yescharacteristic
992#382C2312yes—
993#382C2312yes—
994#381C2312yes—
995#381C2312yes—
996#381C2312yes—
997#381C2312yes—
998#381C2312yes—
999#381C2312yes—
1000#381C2312yes—
1001#381C2312yes—
1002#381C2312yes—
1003#381C2312yes—
1004#380C2312yes—
1005#380C2312yes—
1006#380C2312yes—
1007#380C2312yes—
1008#380C2312yes—
1009#380C2312yes—
1010#380C2312yes—
1011#380C2312yes—
1012#380C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#379C2312yes—
1028#379C2312yes—
1029#379C2312yes—
1030#379C2312yes—
1031#379C2312yes—
1032C4×C4⋊C4C2312yes—
1033C4×C4⋊C4C2312yes—
1034C4×C4⋊C4C2311yescharacteristic
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2311yescharacteristic
1037C4×C4⋊C4C2311yescharacteristic
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2311yescharacteristic
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2311yescharacteristic
1044C4×C4⋊C4C2311yescharacteristic
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2311yescharacteristic
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091#376C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C43C2311yescharacteristic
1100C25C2412yes—
1101C22×Q8C2412yes—
1102C22×Q8C2411yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×D4C2412yes—
1107C22×D4C2412yes—
1108C22×D4C2411yescharacteristic
1109C22×D4C2412yes—
1110C22×D4C2411yescharacteristic
1111C22×D4C2411yescharacteristic
1112C23×C4C2412yes—
1113C23×C4C2412yes—
1114C23×C4C2412yes—
1115C23×C4C2412yes—
1116C23×C4C2412yes—
1117C23×C4C2412yes—
1118C23×C4C2412yes—
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C4⋊Q8—28no—
1127C4⋊Q8—42no—
1128C4⋊Q8—42no—
1129C4⋊Q8—82no—
1130C4⋊Q8—82no—
1131#126—28no—
1132#126—28no—
1133#126—28no—
1134#126—28no—
1135#126—44no—
1136#126—82no—
1137#126—82no—
1138#125—24no—
1139#125—24no—
1140#125—44no—
1141#125—82no—
1142#125—82no—
1143#125—82no—
1144#124—82no—
1145#124—82no—
1146#124#4118yes—
1147#123—28no—
1148#123—28no—
1149#123—28no—
1150#123—28no—
1151#123—28no—
1152C22⋊Q8—28no—
1153C22⋊Q8—28no—
1154C22⋊Q8—28no—
1155C22⋊Q8—28no—
1156C22⋊Q8—44no—
1157C22⋊Q8—44no—
1158C22⋊Q8—44no—
1159C22⋊Q8—44no—
1160C22⋊Q8—44no—
1161C22⋊Q8—82no—
1162C22⋊Q8—82no—
1163C22⋊Q8—82no—
1164#120—28no—
1165#120—28no—
1166#120—44no—
1167C4×Q8—42no—
1168C4×Q8—44no—
1169C4×Q8—42no—
1170C4×Q8—82no—
1171C4×Q8—82no—
1172C4×Q8—82no—
1173C4×D4—24no—
1174C4×D4—28no—
1175C4×D4—28no—
1176C4×D4—44no—
1177C4×D4—42no—
1178C4×D4—42no—
1179C4×D4—82no—
1180C4×D4—82no—
1181C4×D4—82no—
1182C4×D4—82no—
1183#117—28no—
1184#117—28no—
1185#117—82no—
1186#117—82no—
1187#117—82no—
1188C2×C4⋊C4—44no—
1189C2×C4⋊C4—82no—
1190C2×C4⋊C4—82no—
1191C2×C4⋊C4—82no—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2411yescharacteristic
1201C2×C4⋊C4C2411yescharacteristic
1202C2×C4⋊C4C2411yescharacteristic
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2411yescharacteristic
1205C2×C4⋊C4C2411yescharacteristic
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2411yescharacteristic
1218C2×C4⋊C4C2411yescharacteristic
1219C2×C4⋊C4C2411yescharacteristic
1220C2×C4⋊C4C2411yescharacteristic
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2412yes—
1293C2×C22⋊C4—28no—
1294C2×C22⋊C4—28no—
1295C2×C22⋊C4—44no—
1296C2×C22⋊C4—82no—
1297C2×C22⋊C4—82no—
1298C2×C22⋊C4—82no—
1299C2×C22⋊C4—82no—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C42—82no—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2411yescharacteristic
1371C2×C42C2412yes—
1372C2×C42C2411yescharacteristic
1373C2×C42C2411yescharacteristic
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2411yescharacteristic
1396C2×C42C2411yescharacteristic
1397C2×C42C2411yescharacteristic
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2411yescharacteristic
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
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#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
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—
1517C24—24no—
1518C24—24no—
1519C24—42no—
1520C24—42no—
1521C24—42no—
1522C24—42no—
1523C24—42no—
1524C24C2512yes—
1525C24C2512yes—
1526C24C2512yes—
1527C2×Q8—24no—
1528C2×Q8—22no—
1529C2×Q8—24no—
1530C2×Q8—24no—
1531C2×Q8—41no—
1532C2×Q8—41no—
1533C2×Q8—42no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—41no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—41no—
1541C2×Q8C2×#4114yes—
1542C2×D4—24no—
1543C2×D4—24no—
1544C2×D4—24no—
1545C2×D4—24no—
1546C2×D4—22no—
1547C2×D4—41no—
1548C2×D4—41no—
1549C2×D4—41no—
1550C2×D4—42no—
1551C2×D4—41no—
1552C2×D4—42no—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—41no—
1556C2×D4—41no—
1557C2×D4—42no—
1558C2×D4C2×#4114yes—
1559C2×D42−1+414yes—
1560C22×C4—24no—
1561C22×C4—24no—
1562C22×C4—24no—
1563C22×C4—24no—
1564C22×C4—24no—
1565C22×C4—24no—
1566C22×C4—24no—
1567C22×C4—24no—
1568C22×C4—24no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—42no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2511yescharacteristic
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2511yescharacteristic
1628C22×C4C2511yescharacteristic
1629C22×C4C2512yes—
1630C22×C4C2511yescharacteristic
1631C22×C4C2511yescharacteristic
1632C22×C4C2511yescharacteristic
1633C22×C4C2511yescharacteristic
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—22no—
1641C4⋊C4—22no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—22no—
1651C4⋊C4—22no—
1652C4⋊C4—22no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—24no—
1657C4⋊C4—22no—
1658C4⋊C4—22no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—41no—
1664C4⋊C4—41no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—41no—
1676C4⋊C4—41no—
1677C4⋊C4—41no—
1678C4⋊C4—41no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—41no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—41no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—41no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—41no—
1698C4⋊C4—41no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—41no—
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—41no—
1732C4⋊C4—41no—
1733C4⋊C4—41no—
1734C4⋊C4—41no—
1735C22⋊C4—24no—
1736C22⋊C4—24no—
1737C22⋊C4—24no—
1738C22⋊C4—24no—
1739C22⋊C4—24no—
1740C22⋊C4—24no—
1741C22⋊C4—24no—
1742C22⋊C4—24no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4C2×#4118yes—
1801C22⋊C4C2×#4118yes—
1802C42—24no—
1803C42—24no—
1804C42—24no—
1805C42—22no—
1806C42—22no—
1807C42—24no—
1808C42—22no—
1809C42—42no—
1810C42—42no—
1811C42—42no—
1812C42—42no—
1813C42—41no—
1814C42—42no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—41no—
1836C42—41no—
1837C42C2×#4114yes—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23—22no—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—48no—
1858C23—84no—
1859C23—84no—
1860C23—84no—
1861C23—84no—
1862C23—162no—
1863C23—162no—
1864C23C22×#4114yes—
1865C23C2×2−1+414yes—
1866C23C2611yescharacteristic
1867Q8—44no—
1868Q8—84no—
1869Q8—84no—
1870Q8—84no—
1871Q8—82no—
1872D4—44no—
1873D4—44no—
1874D4—48no—
1875D4—82no—
1876D4—84no—
1877D4—84no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—22no—
1882C2×C4—21no—
1883C2×C4—21no—
1884C2×C4—22no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—21no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—21no—
1912C2×C4—21no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
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—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—48no—
1968C2×C4—84no—
1969C2×C4—84no—
1970C2×C4—84no—
1971C2×C4—84no—
1972C2×C4—84no—
1973C2×C4—84no—
1974C2×C4—84no—
1975C2×C4—84no—
1976C2×C4—84no—
1977C2×C4—162no—
1978C2×C4—162no—
1979C2×C4—162no—
1980C2×C4—162no—
1981C2×C4C22×#4112yes—
1982C2×C4C22×#4112yes—
1983C2×C4C22×#4114yes—
1984C2×C4C22×#4112yes—
1985C2×C4C2×2−1+412yes—
1986C2×C4#58512yes—
1987C2×C4#58512yes—
1988C22—24no—
1989C22—24no—
1990C22—24no—
1991C22—24no—
1992C22—24no—
1993C22—24no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—42no—
2003C22—42no—
2004C22—42no—
2005C22—42no—
2006C22—42no—
2007C22—42no—
2008C22—42no—
2009C22—168no—
2010C22C23×#4111yescharacteristic
2011C22C22×2−1+411yescharacteristic
2012C22C2×#58511yescharacteristic
2013C22C2×#58511yescharacteristic
2014C22H(7,𝔽2)11yescharacteristic
2015C22H(7,𝔽2)11yescharacteristic
2016C222−1+611yescharacteristic
2017C4—24no—
2018C4—22no—
2019C4—22no—
2020C4—22no—
2021C4—22no—
2022C4—22no—
2023C4—22no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—41no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C4—42no—
2046C4—42no—
2047C4—42no—
2048C4—42no—
2049C2—44no—
2050C2—44no—
2051C2—82no—
2052C2#6286511yescharacteristic
2053C2#6287011yescharacteristic
2054C2#6287211yescharacteristic
2055C2#6299211yescharacteristic
2056C2#6300011yescharacteristic
2057C2#6300911yescharacteristic
2058C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2679C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60018C2semidirect
2. #59879C2semidirect
3. #59877C2semidirect
5. #59736C2semidirect
6. #59705C2semidirect
7. #51738C2semidirect
8. #51730C2semidirect
9. #51589C2semidirect
10. #51561C2semidirect
11. #51560C2semidirect
12. #49152C2semidirect
13. #49148C2semidirect
14. #48370C2semidirect
15. #48369C2semidirect
16. #46976C2semidirect
17. #46657C2semidirect
18. #46579C2semidirect
19. #43818C2semidirect
20. #43794C2semidirect
22. #43704C2semidirect
23. #43665C2semidirect
24. #43408C2semidirect
25. #43203C2semidirect
26. #43123C2semidirect
27. #43059C2semidirect
28. #39633C2semidirect
29. #39513C2semidirect
30. #39497C2semidirect
31. #39257C2semidirect
32. #38807C2semidirect
33. #38568C2semidirect
34. #34523C2semidirect
35. #34479C2semidirect
38. #2868C22semidirect
39. #2855C22semidirect
41. #2810C22semidirect
42. #2809C22semidirect
44. #2805C22semidirect
45. #2799C22semidirect
46. #2798C22semidirect
47. #2793C22semidirect
48. #2793C22semidirect
49. #2793C22semidirect
50. #2793C22semidirect
51. #2793C22semidirect
52. #2793C22semidirect
53. #2791C22semidirect
54. #2790C22semidirect
55. #2790C22semidirect
56. #2790C22semidirect
57. #2790C22semidirect
58. #2790C22semidirect
59. #2788C22semidirect
60. #2787C22semidirect
61. #2787C22semidirect
63. #2783C22semidirect
70. #2777C22semidirect
71. #2777C22semidirect
72. #2776C22semidirect
73. #2776C22semidirect
74. #2776C22semidirect
75. #2772C22semidirect
76. #2770C22semidirect
77. #2769C22semidirect
78. #2769C22semidirect
79. #2768C22semidirect
80. #2768C22semidirect
81. #2767C22semidirect
82. #2767C22semidirect
83. #2762C22semidirect
93. #2747C22semidirect
94. #2747C22semidirect
95. #2745C22semidirect
96. #2744C22semidirect
97. #2744C22semidirect
99. #2739C22semidirect
100. #2735C22semidirect
104. #2729C22semidirect
105. #2729C22semidirect
106. #2729C22semidirect
107. #2729C22semidirect
108. #2729C22semidirect
109. #2729C22semidirect
112. #2726C22semidirect
113. #2725C22semidirect
114. #2725C22semidirect
118. #2722C22semidirect
119. #2722C22semidirect
120. #2722C22semidirect
121. #2719C22semidirect
123. #2704C22semidirect
129. #2690C22semidirect
130. #2690C22semidirect
131. #2690C22semidirect
132. #2689C22semidirect
133. #2689C22semidirect
137. #2666C22semidirect
138. #2666C22semidirect
139. #2664C22semidirect
141. #2647C22semidirect
142. #2647C22semidirect
143. #2629C22semidirect
144. #2629C22semidirect
145. #2625C22semidirect
146. #2611C22semidirect
147. #2611C22semidirect
148. #2611C22semidirect
150. #2608C22semidirect
151. #2607C22semidirect
152. #2606C22semidirect
153. #2606C22semidirect
155. #2599C22semidirect
156. #2596C22semidirect
157. #2596C22semidirect
158. #2596C22semidirect
159. #2594C22semidirect
160. #2594C22semidirect
161. #2594C22semidirect
163. #2590C22semidirect
164. #2590C22semidirect
165. #2589C22semidirect
166. #2588C22semidirect
167. #2587C22semidirect
168. #2587C22semidirect
169. #2587C22semidirect
170. #2585C22semidirect
171. #2585C22semidirect
172. #2585C22semidirect
173. #2582C22semidirect
177. #2577C22semidirect
178. #2577C22semidirect
179. #2577C22semidirect
181. #2575C22semidirect
182. #2574C22semidirect
183. #2573C22semidirect
184. #2573C22semidirect
185. #2573C22semidirect
186. #2573C22semidirect
187. #2573C22semidirect
189. #2571C22semidirect
190. #2569C22semidirect
193. #2556C22semidirect
194. #2556C22semidirect
197. #2552C22semidirect
198. #2550C22semidirect
210. #2533C22semidirect
211. #2533C22semidirect
212. #2532C22semidirect
213. #2530C22semidirect
214. #2530C22semidirect
215. #2530C22semidirect
216. #2528C22semidirect
217. #2528C22semidirect
218. #2527C22semidirect
222. #2524C22semidirect
223. #2524C22semidirect
224. #2523C22semidirect
225. #2522C22semidirect
227. #2519C22semidirect
230. #2515C22semidirect
231. #2515C22semidirect
232. #2515C22semidirect
234. #2507C22semidirect
235. #2505C22semidirect
236. #2502C22semidirect
237. #2497C22semidirect
238. #2497C22semidirect
239. #2497C22semidirect
240. #2495C22semidirect
241. #2494C22semidirect
242. #2493C22semidirect
243. #2493C22semidirect
244. #2492C22semidirect
246. #2484C22semidirect
247. #2483C22semidirect
251. #2480C22semidirect
252. #2480C22semidirect
253. #2480C22semidirect
254. #2480C22semidirect
255. #2480C22semidirect
256. #2475C22semidirect
257. #2475C22semidirect
259. #2473C22semidirect
260. #2473C22semidirect
265. #2469C22semidirect
266. #2469C22semidirect
272. #2465C22semidirect
273. #2465C22semidirect
274. #2462C22semidirect
278. #2453C22semidirect
281. #2451C22semidirect
287. #2446C22semidirect
288. #2446C22semidirect
289. #2442C22semidirect
290. #2440C22semidirect
291. #2440C22semidirect
292. #2439C22semidirect
293. #2437C22semidirect
294. #2437C22semidirect
295. #2437C22semidirect
296. #2429C22semidirect
297. #2429C22semidirect
298. #2421C22semidirect
302. #2401C22semidirect
304. C2×#396C22semidirect
305. #2383C22semidirect
306. #2382C22semidirect
307. #2382C22semidirect
309. #2378C22semidirect
314. #2373C22semidirect
315. #2373C22semidirect
316. #2373C22semidirect
317. #2373C22semidirect
318. #2370C22semidirect
319. #2369C22semidirect
320. #2368C22semidirect
321. #2368C22semidirect
322. #2368C22semidirect
323. #2365C22semidirect
324. #2365C22semidirect
325. #2360C22semidirect
326. #2360C22semidirect
327. #2360C22semidirect
334. #2356C22semidirect
337. Q8×C4⋊C4C22semidirect
341. #2346C22semidirect
342. #2343C22semidirect
343. #2342C22semidirect
344. #2342C22semidirect
345. #2342C22semidirect
348. #2334C22semidirect
349. #2334C22semidirect
350. #2334C22semidirect
351. #2334C22semidirect
352. #2332C22semidirect
353. #2332C22semidirect
354. #2329C22semidirect
355. #2327C22semidirect
357. #2323C22semidirect
363. #2317C22semidirect
364. #2315C22semidirect
365. #2314C22semidirect
366. #2313C22semidirect
367. C4×#125C22semidirect
368. C4×#125C22semidirect
370. C4×C22⋊Q8C22semidirect
371. C4×C22⋊Q8C22semidirect
373. #2295C22semidirect
378. C2×#388C22semidirect

Maximal subgroups

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

subgroupindex
#600182
#598792
#598772
#598362
#597362
#597052
#517382
#517302
#515892
#515612
#515602
#491522
#491482
#483702
#483692
#469762
#466572
#465792
#438182
#437942
#437912
#437042
#436652
#434082
#432032
#431232
#430592
#396332
#395132
#394972
#392572
#388072
#385682
#345232
#344792