Finite Group Databasebeta

← #7717113

Subgroups — #7717113

Order 512.

4984 conjugacy classes of subgroups.

The subgroup lattice has 2284 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#49809C212yesmaximal, complemented
2#49805C212yesmaximal, complemented
3#49804C212yesmaximal, complemented
4#49800C212yesmaximal, complemented
5#48167C212yesmaximal, complemented
6#48163C212yesmaximal, complemented
7#48162C212yesmaximal, complemented
8#48158C212yesmaximal, complemented
9#44327C212yesmaximal, complemented
10#44323C212yesmaximal, complemented
11#44319C212yesmaximal, complemented
12#44317C212yesmaximal, complemented
13#43482C212yesmaximal, complemented
14#43450C212yesmaximal, complemented
15#43292C212yesmaximal, complemented
16#43133C212yesmaximal, complemented
17#39549C211yesmaximal, characteristic, complemented
18#39431C212yesmaximal, complemented
19#39431C212yesmaximal, complemented
20#39413C211yesmaximal, characteristic, complemented
21#39337C212yesmaximal, complemented
22#37951C211yesmaximal, characteristic, complemented
23#37877C211yesmaximal, characteristic, complemented
24#37771C211yesmaximal, characteristic, complemented
25#37679C211yesmaximal, characteristic
26#37000C212yesmaximal, complemented
27#36823C212yesmaximal, complemented
28#36604C212yesmaximal, complemented
29#36200C211yesmaximal, characteristic, complemented
30#36139C211yesmaximal, characteristic, complemented
31#35178C211yesmaximal, characteristic, complemented
32#35153C211yesmaximal, characteristic, complemented
33#35098C211yesmaximal, characteristic, complemented
34#35092C211yesmaximal, characteristic, complemented
35#35058C212yesmaximal, complemented
36#35004C211yesmaximal, characteristic, complemented
37#34602C211yesmaximal, characteristic, complemented
38#34469C212yesmaximal, complemented
39C2×#2365C211yesmaximal, characteristic, complemented
40C2×#547C2212yes—
41C2×#539C2212yes—
42C2×#539C2211yescharacteristic
43C2×#537C2211yescharacteristic
44C2×#536C2212yes—
45C2×#536C2212yes—
46C2×#532C2211yescharacteristic
47C22×C4⋊Q8C2211yescharacteristic
48C2×#529C2211yescharacteristic
49C22×C4×Q8C2211yescharacteristic
50C22×C4×Q8C2211yescharacteristic
51#2855C2211yescharacteristic
52#2854C2212yes—
53#2854C2212yes—
54#2854C2211yescharacteristic
55#2854C2211yescharacteristic
56#2854C2211yescharacteristic
57#2854C2212yes—
58#2854C2212yes—
59#2853C2212yes—
60#2852C2212yes—
61#2851C2211yescharacteristic
62#2850C2211yescharacteristic
63#2850C2212yes—
64#2806C2212yes—
65#2803C2212yes—
66#2802C2212yes—
67#2800C2212yes—
68#2800C2212yes—
69#2797C2212yes—
70#2793C2212yes—
71#2793C2212yes—
72#2792C2212yes—
73#2791C2212yes—
74#2791C2212yes—
75#2791C2212yes—
76#2788C2212yes—
77#2788C2212yes—
78#2786C2212yes—
79#2780C2212yes—
80#2779C2212yes—
81#2777C2212yes—
82#2775C2212yes—
83#2775C2212yes—
84#2774C2212yes—
85#2774C2212yes—
86#2773C2212yes—
87#2772C2212yes—
88#2770C2212yes—
89#2769C2212yes—
90#2768C2212yes—
91#2768C2212yes—
92#2768C2212yes—
93#2755C2212yes—
94#2752C2212yes—
95#2748C2212yes—
96#2744C2212yes—
97#2743C2212yes—
98#2741C2212yes—
99#2740C2212yes—
100#2740C2212yes—
101#2738C2212yes—
102#2737C2212yes—
103#2730C2212yes—
104#2727C2212yes—
105#2725C2212yes—
106#2721C2212yes—
107#2721C2212yes—
108#2716C2212yes—
109#2716C2212yes—
110#2715C2212yes—
111#2713C2212yes—
112#2713C2212yes—
113#2710C2212yes—
114#2710C2212yes—
115#2710C2212yes—
116#2705C2212yes—
117#2704C2212yes—
118#2701C2212yes—
119#2700C2212yes—
120#2700C2212yes—
121#2698C2212yes—
122#2695C2212yes—
123#2692C2212yes—
124#2692C2212yes—
125#2690C2212yes—
126#2690C2212yes—
127#2689C2212yes—
128#2689C2212yes—
129#2687C2212yes—
130#2687C2212yes—
131#2677C2212yes—
132#2677C2212yes—
133#2677C2212yes—
134#2677C2212yes—
135#2677C2212yes—
136#2676C2212yes—
137#2674C2212yes—
138#2674C2212yes—
139#2674C2212yes—
140#2674C2212yes—
141#2674C2212yes—
142#2673C2212yes—
143#2672C2212yes—
144#2666C2212yes—
145#2662C2212yes—
146#2659C2211yescharacteristic
147#2656C2211yescharacteristic
148#2651C2212yes—
149#2650C2212yes—
150#2637C2212yes—
151#2637C2212yes—
152#2634C2212yes—
153#2632C2212yes—
154#2627C2211yescharacteristic
155#2627C2211yescharacteristic
156#2623C2212yes—
157#2623C2212yes—
158#2618C2211yescharacteristic
159#2618C2211yescharacteristic
160#2618C2211yescharacteristic
161#2618C2211yescharacteristic
162#2618C2211yescharacteristic
163#2618C2212yes—
164#2618C2211yescharacteristic
165#2614C2212yes—
166#2614C2212yes—
167#2612C2212yes—
168#2608C2212yes—
169#2597C2212yes—
170#2597C2212yes—
171#2597C2212yes—
172#2596C2212yes—
173#2596C2212yes—
174#2595C2212yes—
175#2593C2212yes—
176#2590C2212yes—
177#2590C2212yes—
178#2589C2212yes—
179#2588C2212yes—
180#2587C2212yes—
181#2587C2212yes—
182#2586C2212yes—
183#2586C2212yes—
184#2585C2212yes—
185#2585C2212yes—
186#2585C2212yes—
187#2574C2212yes—
188#2574C2212yes—
189#2570C2211yescharacteristic
190#2569C2212yes—
191#2566C2211yescharacteristic
192#2560C2212yes—
193#2560C2212yes—
194#2559C2212yes—
195#2557C2212yes—
196#2557C2212yes—
197#2556C2212yes—
198#2556C2212yes—
199#2556C2212yes—
200#2556C2212yes—
201#2556C2212yes—
202#2554C2212yes—
203#2554C2212yes—
204#2554C2212yes—
205#2554C2212yes—
206#2554C2212yes—
207#2551C2212yes—
208#2551C2212yes—
209#2550C2212yes—
210#2550C2212yes—
211#2550C2211yescharacteristic
212#2549C2212yes—
213#2549C2212yes—
214#2549C2212yes—
215#2548C2212yes—
216#2546C2212yes—
217#2545C2212yes—
218#2545C2212yes—
219#2544C2211yescharacteristic
220#2543C2212yes—
221#2538C2212yes—
222#2538C2212yes—
223#2536C2212yes—
224#2536C2212yes—
225#2531C2212yes—
226#2529C2212yes—
227#2529C2212yes—
228#2525C2212yes—
229#2525C2212yes—
230#2525C2212yes—
231#2525C2212yes—
232#2524C2212yes—
233#2522C2212yes—
234#2521C2212yes—
235#2521C2212yes—
236#2521C2212yes—
237#2521C2212yes—
238#2520C2212yes—
239#2519C2212yes—
240#2519C2212yes—
241#2519C2212yes—
242#2516C2212yes—
243#2516C2212yes—
244#2516C2212yes—
245#2515C2212yes—
246#2515C2212yes—
247#2513C2211yescharacteristic
248#2512C2211yescharacteristic
249#2509C2211yescharacteristic
250#2507C2211yescharacteristic
251#2501C2212yes—
252#2492C2212yes—
253#2492C2212yes—
254#2491C2212yes—
255#2491C2212yes—
256#2488C2212yes—
257#2488C2212yes—
258#2488C2212yes—
259#2488C2212yes—
260#2486C2212yes—
261#2481C2212yes—
262#2481C2212yes—
263#2474C2212yes—
264#2471C2212yes—
265#2469C2212yes—
266#2469C2212yes—
267#2468C2212yes—
268#2467C2212yes—
269#2466C2212yes—
270#2465C2212yes—
271#2465C2212yes—
272#2463C2212yes—
273#2462C2212yes—
274#2462C2212yes—
275#2461C2212yes—
276#2461C2212yes—
277#2458C2212yes—
278#2458C2212yes—
279#2456C2212yes—
280#2454C2211yescharacteristic
281#2452C2212yes—
282#2452C2212yes—
283#2451C2211yescharacteristic
284#2449C2212yes—
285#2447C2211yescharacteristic
286#2445C2211yescharacteristic
287#2443C2212yes—
288#2443C2212yes—
289#2443C2212yes—
290#2441C2212yes—
291#2440C2212yes—
292#2440C2212yes—
293#2438C2212yes—
294#2438C2212yes—
295#2430C2212yes—
296#2430C2212yes—
297#2429C2212yes—
298#2429C2212yes—
299#2429C2212yes—
300#2429C2212yes—
301#2426C2212yes—
302#2426C2212yes—
303#2426C2212yes—
304#2426C2212yes—
305#2425C2212yes—
306#2425C2212yes—
307#2425C2212yes—
308#2425C2212yes—
309#2425C2212yes—
310#2423C2212yes—
311#2419C2212yes—
312#2419C2212yes—
313#2413C2212yes—
314#2413C2212yes—
315#2406C2212yes—
316#2406C2212yes—
317#2399C2212yes—
318#2398C2212yes—
319#2396C2212yes—
320#2396C2212yes—
321#2381C2212yes—
322#2378C2212yes—
323#2377C2212yes—
324#2376C2212yes—
325#2374C2212yes—
326#2374C2212yes—
327#2374C2212yes—
328#2373C2212yes—
329#2373C2212yes—
330#2373C2212yes—
331#2370C2211yescharacteristic
332#2368C2212yes—
333#2367C2211yescharacteristic
334#2365C2212yes—
335#2365C2212yes—
336#2365C2212yes—
337#2365C2212yes—
338#2365C2212yes—
339#2365C2212yes—
340#2365C2212yes—
341#2365C2212yes—
342#2364C2212yes—
343#2359C2212yes—
344#2359C2212yes—
345#2359C2212yes—
346#2357C2211yescharacteristic
347#2353C2212yes—
348#2353C2212yes—
349#2349C2211yescharacteristic
350#2345C2212yes—
351#2344C2212yes—
352#2339C2212yes—
353#2339C2212yes—
354#2337C2212yes—
355#2335C2212yes—
356#2335C2212yes—
357#2335C2212yes—
358#2334C2212yes—
359#2334C2212yes—
360#2333C2212yes—
361#2332C2212yes—
362#2331C2212yes—
363#2329C2211yescharacteristic
364#2329C2212yes—
365#2325C2211yescharacteristic
366#2325C2212yes—
367#2322C2212yes—
368#2318C2212yes—
369#2318C2212yes—
370#2316C2211yescharacteristic
371#2313C2211yescharacteristic
372#2313C2212yes—
373#2311C2212yes—
374C4×#123C2212yes—
375C4×#123C2212yes—
376C4×#123C2212yes—
377C4×#123C2212yes—
378C4×#121C2211yescharacteristic
379C4×#121C2211yescharacteristic
380#2297C2212yes—
381C2×#391C2211yescharacteristic
382C2×#391C2211yescharacteristic
383C2×#389C2211yescharacteristic
384C2×#389C2211yescharacteristic
385C2×#387C2211yescharacteristic
386C2×#387C2211yescharacteristic
387C2×#387C2211yescharacteristic
388C2×#387C2211yescharacteristic
389#2285C2211yescharacteristic
390#2283C2211yescharacteristic
391C2×C4×C4⋊C4C2211yescharacteristic
392C2×C4×C4⋊C4C2211yescharacteristic
393C2×C4×C4⋊C4C2211yescharacteristic
394C2×C4×C4⋊C4C2211yescharacteristic
395C22×#41C2312yes—
396C22×#41C2312yes—
397C23×Q8C2311yescharacteristic
398C23×Q8C2311yescharacteristic
399#547—216no—
400#539—44no—
401#539—48no—
402#537—44no—
403#536—48no—
404#536—48no—
405#532—44no—
406C2×C4⋊Q8—28no—
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2312yes—
409C2×C4⋊Q8C2312yes—
410C2×C4⋊Q8C2312yes—
411C2×C4⋊Q8C2312yes—
412C2×C4⋊Q8C2311yescharacteristic
413C2×C4⋊Q8C2312yes—
414C2×C4⋊Q8C2312yes—
415C2×C4⋊Q8C2312yes—
416C2×C4⋊Q8C2312yes—
417C2×#127C2311yescharacteristic
418#529—44no—
419C2×#126C2312yes—
420C2×#126C2312yes—
421C2×#126C2312yes—
422C2×#126C2312yes—
423C2×#126C2312yes—
424C2×#126C2312yes—
425C2×#126C2312yes—
426C2×#125C2311yescharacteristic
427C2×#125C2311yescharacteristic
428C2×#125C2312yes—
429C2×#125C2312yes—
430C2×#125C2312yes—
431C2×#124C2312yes—
432C2×#124C2311yescharacteristic
433C2×#124C2311yescharacteristic
434C2×#124C2312yes—
435C2×#124C2312yes—
436C2×#124C2312yes—
437C2×#124C2312yes—
438C2×#124C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×#123C2312yes—
448C2×#123C2312yes—
449C2×#123C2312yes—
450C2×#123C2312yes—
451C2×#123C2312yes—
452C2×#123C2312yes—
453C2×#123C2312yes—
454C2×#123C2312yes—
455C2×#123C2312yes—
456C2×#123C2312yes—
457C2×C22⋊Q8C2311yescharacteristic
458C2×C22⋊Q8C2312yes—
459C2×C22⋊Q8C2312yes—
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2312yes—
462C2×C22⋊Q8C2312yes—
463C2×C22⋊Q8C2312yes—
464C2×C22⋊Q8C2312yes—
465C2×C22⋊Q8C2312yes—
466C2×C22⋊Q8C2312yes—
467C2×C22⋊Q8C2312yes—
468C2×C22⋊Q8C2312yes—
469C2×C22⋊Q8C2312yes—
470C2×C22⋊Q8C2312yes—
471C2×C22⋊Q8C2312yes—
472C2×C22⋊Q8C2312yes—
473C2×C22⋊Q8C2312yes—
474C2×#121C2311yescharacteristic
475C2×#121C2312yes—
476C2×#121C2312yes—
477C2×#121C2311yescharacteristic
478C2×#121C2311yescharacteristic
479C2×#121C2312yes—
480C2×#121C2312yes—
481C2×#121C2312yes—
482C2×#121C2312yes—
483C2×#121C2312yes—
484C2×C4×Q8—44no—
485C2×C4×Q8—44no—
486C2×C4×Q8C2312yes—
487C2×C4×Q8C2312yes—
488C2×C4×Q8C2312yes—
489C2×C4×Q8C2312yes—
490C2×C4×Q8C2312yes—
491C2×C4×Q8C2312yes—
492C2×C4×Q8C2312yes—
493C2×C4×Q8C2312yes—
494C2×C4×Q8C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×C4×D4C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2311yescharacteristic
516C22×C4⋊C4C2311yescharacteristic
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2311yescharacteristic
519C22×C4⋊C4C2311yescharacteristic
520C22×C4⋊C4C2311yescharacteristic
521C22×C4⋊C4C2311yescharacteristic
522C22×C4⋊C4C2311yescharacteristic
523C22×C42C2311yescharacteristic
524C22×C42C2311yescharacteristic
525C22×C42C2311yescharacteristic
526C22×C42C2311yescharacteristic
527C22×C42C2311yescharacteristic
528C22×C42C2311yescharacteristic
529C22×C42C2311yescharacteristic
530C22×C42C2311yescharacteristic
531C22×C42C2311yescharacteristic
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2312yes—
542#400C2312yes—
543#400C2312yes—
544#400C2312yes—
545#400C2312yes—
546#400C2312yes—
547#400C2312yes—
548#400C2312yes—
549#400C2312yes—
550#400C2312yes—
551#400C2312yes—
552#399C2312yes—
553#399C2312yes—
554#399C2312yes—
555#399C2312yes—
556#399C2312yes—
557#399C2312yes—
558#399C2312yes—
559#399C2312yes—
560#399C2312yes—
561#399C2312yes—
562#399C2312yes—
563#399C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
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#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
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#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2311yescharacteristic
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2311yescharacteristic
724#391C2311yescharacteristic
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2311yescharacteristic
736#390C2311yescharacteristic
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2311yescharacteristic
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2311yescharacteristic
747#390C2311yescharacteristic
748#390C2311yescharacteristic
749#390C2312yes—
750#390C2312yes—
751#390C2311yescharacteristic
752#390C2312yes—
753#390C2311yescharacteristic
754#390C2311yescharacteristic
755#390C2312yes—
756#390C2312yes—
757#389C2311yescharacteristic
758#389C2311yescharacteristic
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
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#389C2311yescharacteristic
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2311yescharacteristic
785#389C2312yes—
786#389C2312yes—
787#389C2311yescharacteristic
788#389C2311yescharacteristic
789#389C2311yescharacteristic
790#389C2311yescharacteristic
791#389C2311yescharacteristic
792#389C2311yescharacteristic
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#389C2311yescharacteristic
806#389C2311yescharacteristic
807#389C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
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#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
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#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
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#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
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#384C2311yescharacteristic
1027#384C2311yescharacteristic
1028#384C2312yes—
1029#384C2312yes—
1030#383C2312yes—
1031#383C2312yes—
1032#383C2312yes—
1033#383C2312yes—
1034#382C2311yescharacteristic
1035#382C2311yescharacteristic
1036#382C2311yescharacteristic
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2311yescharacteristic
1042#382C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#381C2312yes—
1050#381C2312yes—
1051#381C2312yes—
1052#381C2312yes—
1053#381C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2311yescharacteristic
1059#380C2311yescharacteristic
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2311yescharacteristic
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2311yescharacteristic
1071#380C2312yes—
1072#380C2312yes—
1073#380C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2311yescharacteristic
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2311yescharacteristic
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2311yescharacteristic
1100C4×C4⋊C4C2311yescharacteristic
1101C4×C4⋊C4C2311yescharacteristic
1102C4×C4⋊C4C2311yescharacteristic
1103C4×C4⋊C4C2311yescharacteristic
1104C4×C4⋊C4C2312yes—
1105C4×C4⋊C4C2312yes—
1106C4×C4⋊C4C2311yescharacteristic
1107C4×C4⋊C4C2312yes—
1108C4×C4⋊C4C2312yes—
1109C4×C4⋊C4C2311yescharacteristic
1110C4×C4⋊C4C2311yescharacteristic
1111C4×C4⋊C4C2312yes—
1112C4×C4⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2312yes—
1137#376C2312yes—
1138#376C2312yes—
1139C2×#95C2311yescharacteristic
1140C2×#95C2311yescharacteristic
1141C2×#95C2312yes—
1142C2×#95C2311yescharacteristic
1143C2×#95C2312yes—
1144C2×#95C2311yescharacteristic
1145C2×#95C2311yescharacteristic
1146C2×#95C2311yescharacteristic
1147C2×#95C2311yescharacteristic
1148C2×#95C2311yescharacteristic
1149C2×#95C2311yescharacteristic
1150C2×#95C2311yescharacteristic
1151C2×#95C2311yescharacteristic
1152C2×#95C2311yescharacteristic
1153C2×#41—28no—
1154C2×#41—28no—
1155C2×#41—44no—
1156C2×#41—44no—
1157C2×#41—44no—
1158C2×#41—44no—
1159C22×Q8—24no—
1160C22×Q8—24no—
1161C22×Q8—24no—
1162C22×Q8—24no—
1163C22×Q8—42no—
1164C22×Q8—42no—
1165C22×Q8C2412yes—
1166C22×Q8C2412yes—
1167C22×Q8C2412yes—
1168C22×Q8C2412yes—
1169C22×Q8C2411yescharacteristic
1170C22×Q8C2412yes—
1171C22×Q8C2412yes—
1172C22×Q8C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2411yescharacteristic
1177C22×D4C2411yescharacteristic
1178C22×D4C2411yescharacteristic
1179C22×D4C2412yes—
1180C22×D4C2412yes—
1181C22×D4C2412yes—
1182C22×D4C2412yes—
1183C22×D4C2412yes—
1184C22×D4C2412yes—
1185C23×C4C2411yescharacteristic
1186C23×C4C2411yescharacteristic
1187C23×C4C2411yescharacteristic
1188C23×C4C2411yescharacteristic
1189C23×C4C2411yescharacteristic
1190C23×C4C2411yescharacteristic
1191C23×C4C2411yescharacteristic
1192C23×C4C2411yescharacteristic
1193C23×C4C2411yescharacteristic
1194C23×C4C2411yescharacteristic
1195C23×C4C2411yescharacteristic
1196C23×C4C2411yescharacteristic
1197C23×C4C2412yes—
1198C23×C4C2412yes—
1199C23×C4C2411yescharacteristic
1200C23×C4C2412yes—
1201C23×C4C2412yes—
1202C23×C4C2412yes—
1203C23×C4C2412yes—
1204C23×C4C2412yes—
1205C23×C4C2412yes—
1206C23×C4C2412yes—
1207C23×C4C2411yescharacteristic
1208C23×C4C2411yescharacteristic
1209C4⋊Q8—28no—
1210C4⋊Q8—28no—
1211C4⋊Q8—28no—
1212C4⋊Q8—28no—
1213C4⋊Q8—28no—
1214C4⋊Q8—42no—
1215C4⋊Q8—44no—
1216C4⋊Q8—44no—
1217C4⋊Q8—44no—
1218C4⋊Q8—44no—
1219#127—42no—
1220#126—28no—
1221#126—44no—
1222#126—44no—
1223#126—44no—
1224#126—44no—
1225#126—44no—
1226#126—44no—
1227#125—42no—
1228#125—42no—
1229#125—44no—
1230#125—44no—
1231#125—44no—
1232#124—42no—
1233#124—44no—
1234#124—44no—
1235#124—42no—
1236#124—44no—
1237#124—44no—
1238#124—44no—
1239#124—44no—
1240#123—28no—
1241#123—28no—
1242#123—28no—
1243#123—28no—
1244#123—28no—
1245#123—28no—
1246#123—28no—
1247#123—28no—
1248#123—44no—
1249#123—44no—
1250#123—44no—
1251#123—44no—
1252#123—44no—
1253#123—44no—
1254#123—44no—
1255#123—44no—
1256#123—44no—
1257#123—44no—
1258C22⋊Q8—24no—
1259C22⋊Q8—28no—
1260C22⋊Q8—28no—
1261C22⋊Q8—44no—
1262C22⋊Q8—44no—
1263C22⋊Q8—44no—
1264C22⋊Q8—44no—
1265C22⋊Q8—44no—
1266C22⋊Q8—44no—
1267C22⋊Q8—44no—
1268C22⋊Q8—44no—
1269C22⋊Q8—44no—
1270C22⋊Q8—44no—
1271C22⋊Q8—44no—
1272C22⋊Q8—44no—
1273C22⋊Q8—44no—
1274C22⋊Q8—44no—
1275#121—28no—
1276#121—24no—
1277#121—24no—
1278#121—24no—
1279#121—28no—
1280#121—44no—
1281#121—44no—
1282#121—44no—
1283#121—44no—
1284#121—44no—
1285C4×Q8—44no—
1286C4×Q8—44no—
1287C4×Q8—44no—
1288C4×Q8—44no—
1289C4×Q8—44no—
1290C4×Q8—44no—
1291C4×Q8—44no—
1292C4×Q8—44no—
1293C4×Q8—42no—
1294C4×D4—28no—
1295C4×D4—28no—
1296C4×D4—42no—
1297C4×D4—42no—
1298C4×D4—44no—
1299C4×D4—42no—
1300C4×D4—42no—
1301C4×D4—42no—
1302C4×D4—44no—
1303C4×D4—44no—
1304C4×D4—44no—
1305C4×D4—44no—
1306#117—44no—
1307#117—44no—
1308#117—44no—
1309C2×C4⋊C4—24no—
1310C2×C4⋊C4—24no—
1311C2×C4⋊C4—24no—
1312C2×C4⋊C4—24no—
1313C2×C4⋊C4—24no—
1314C2×C4⋊C4—24no—
1315C2×C4⋊C4—24no—
1316C2×C4⋊C4—28no—
1317C2×C4⋊C4—24no—
1318C2×C4⋊C4—42no—
1319C2×C4⋊C4—42no—
1320C2×C4⋊C4—42no—
1321C2×C4⋊C4#4118yes—
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⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2411yescharacteristic
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2411yescharacteristic
1347C2×C4⋊C4C2411yescharacteristic
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2411yescharacteristic
1379C2×C4⋊C4C2411yescharacteristic
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2412yes—
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2412yes—
1396C2×C4⋊C4C2412yes—
1397C2×C4⋊C4C2411yescharacteristic
1398C2×C4⋊C4C2411yescharacteristic
1399C2×C4⋊C4C2412yes—
1400C2×C4⋊C4C2412yes—
1401C2×C4⋊C4C2412yes—
1402C2×C4⋊C4C2412yes—
1403C2×C4⋊C4C2411yescharacteristic
1404C2×C4⋊C4C2412yes—
1405C2×C4⋊C4C2412yes—
1406C2×C4⋊C4C2411yescharacteristic
1407C2×C4⋊C4C2411yescharacteristic
1408C2×C4⋊C4C2412yes—
1409C2×C4⋊C4C2412yes—
1410C2×C4⋊C4C2412yes—
1411C2×C4⋊C4C2412yes—
1412C2×C4⋊C4C2411yescharacteristic
1413C2×C4⋊C4C2412yes—
1414C2×C4⋊C4C2412yes—
1415C2×C4⋊C4C2412yes—
1416C2×C4⋊C4C2412yes—
1417C2×C4⋊C4C2412yes—
1418C2×C4⋊C4C2411yescharacteristic
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2412yes—
1474C2×C22⋊C4C2412yes—
1475C2×C22⋊C4C2412yes—
1476C2×C22⋊C4C2412yes—
1477C2×C22⋊C4C2412yes—
1478C2×C22⋊C4C2412yes—
1479C2×C22⋊C4C2412yes—
1480C2×C22⋊C4C2412yes—
1481C2×C22⋊C4C2412yes—
1482C2×C22⋊C4C2412yes—
1483C2×C22⋊C4C2412yes—
1484C2×C22⋊C4C2412yes—
1485C2×C22⋊C4C2412yes—
1486C2×C22⋊C4C2412yes—
1487C2×C22⋊C4C2412yes—
1488C2×C22⋊C4C2412yes—
1489C2×C22⋊C4C2412yes—
1490C2×C42—24no—
1491C2×C42—24no—
1492C2×C42—24no—
1493C2×C42—42no—
1494C2×C42—42no—
1495C2×C42—42no—
1496C2×C42—42no—
1497C2×C42—42no—
1498C2×C42—42no—
1499C2×C42C2411yescharacteristic
1500C2×C42C2411yescharacteristic
1501C2×C42C2411yescharacteristic
1502C2×C42C2412yes—
1503C2×C42C2411yescharacteristic
1504C2×C42C2411yescharacteristic
1505C2×C42C2411yescharacteristic
1506C2×C42C2411yescharacteristic
1507C2×C42C2411yescharacteristic
1508C2×C42C2411yescharacteristic
1509C2×C42C2411yescharacteristic
1510C2×C42C2412yes—
1511C2×C42C2412yes—
1512C2×C42C2412yes—
1513C2×C42C2412yes—
1514C2×C42C2412yes—
1515C2×C42C2412yes—
1516C2×C42C2412yes—
1517C2×C42C2412yes—
1518C2×C42C2412yes—
1519C2×C42C2412yes—
1520C2×C42C2412yes—
1521C2×C42C2412yes—
1522C2×C42C2412yes—
1523C2×C42C2412yes—
1524C2×C42C2412yes—
1525C2×C42C2412yes—
1526C2×C42C2412yes—
1527C2×C42C2412yes—
1528C2×C42C2412yes—
1529C2×C42C2412yes—
1530C2×C42C2412yes—
1531C2×C42C2412yes—
1532C2×C42C2412yes—
1533C2×C42C2412yes—
1534C2×C42C2412yes—
1535C2×C42C2411yescharacteristic
1536C2×C42C2411yescharacteristic
1537C2×C42C2412yes—
1538#95C2411yescharacteristic
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2411yescharacteristic
1543#95C2412yes—
1544#95C2411yescharacteristic
1545#95C2411yescharacteristic
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2411yescharacteristic
1550#95C2412yes—
1551#95C2412yes—
1552#95C2411yescharacteristic
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2411yescharacteristic
1557#95C2411yescharacteristic
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—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619#95C2412yes—
1620#95C2412yes—
1621#95C2412yes—
1622#95C2412yes—
1623#95C2412yes—
1624#95C2412yes—
1625#95C2412yes—
1626#95C2412yes—
1627#95C2412yes—
1628#95C2412yes—
1629#95C2412yes—
1630#95C2412yes—
1631#95C2412yes—
1632#95C2412yes—
1633#95C2412yes—
1634#95C2412yes—
1635#95C2412yes—
1636#95C2412yes—
1637#95C2412yes—
1638#95C2412yes—
1639#95C2412yes—
1640#95C2412yes—
1641#95C2412yes—
1642C24C2512yes—
1643C24C2512yes—
1644C24C2512yes—
1645C24C2511yescharacteristic
1646#41—816no—
1647#41—816no—
1648C2×Q8—24no—
1649C2×Q8—24no—
1650C2×Q8—24no—
1651C2×Q8—24no—
1652C2×Q8—24no—
1653C2×Q8—24no—
1654C2×Q8—24no—
1655C2×Q8—24no—
1656C2×Q8—24no—
1657C2×Q8—24no—
1658C2×Q8—22no—
1659C2×Q8—42no—
1660C2×Q8—42no—
1661C2×Q8—42no—
1662C2×Q8—42no—
1663C2×Q8—42no—
1664C2×Q8—42no—
1665C2×Q8—41no—
1666C2×Q8—42no—
1667C2×Q8—42no—
1668C2×Q8—41no—
1669C2×Q8—42no—
1670C2×Q8—42no—
1671C2×Q8—42no—
1672C2×Q8—416no—
1673C2×Q8—416no—
1674C2×D4—24no—
1675C2×D4—24no—
1676C2×D4—24no—
1677C2×D4—24no—
1678C2×D4—24no—
1679C2×D4—24no—
1680C2×D4—24no—
1681C2×D4—24no—
1682C2×D4—24no—
1683C2×D4—24no—
1684C2×D4—24no—
1685C2×D4—24no—
1686C2×D4—22no—
1687C2×D4—22no—
1688C2×D4—22no—
1689C2×D4—24no—
1690C2×D4—41no—
1691C2×D4—41no—
1692C2×D4—42no—
1693C2×D4—41no—
1694C2×D4—42no—
1695C2×D4—42no—
1696C2×D4—42no—
1697C2×D4—42no—
1698C2×D4—41no—
1699C2×D4—42no—
1700C2×D4—42no—
1701C2×D4—41no—
1702C2×D4—42no—
1703C2×D4—41no—
1704C2×D4—42no—
1705C2×D4—42no—
1706C2×D4—42no—
1707C2×D4—42no—
1708C2×D4—42no—
1709C2×D4—42no—
1710C22×C4—22no—
1711C22×C4—22no—
1712C22×C4—22no—
1713C22×C4—22no—
1714C22×C4—22no—
1715C22×C4—22no—
1716C22×C4—22no—
1717C22×C4—22no—
1718C22×C4—22no—
1719C22×C4—22no—
1720C22×C4—22no—
1721C22×C4—22no—
1722C22×C4—22no—
1723C22×C4—22no—
1724C22×C4—22no—
1725C22×C4—22no—
1726C22×C4—22no—
1727C22×C4—22no—
1728C22×C4—22no—
1729C22×C4—22no—
1730C22×C4—22no—
1731C22×C4—22no—
1732C22×C4—22no—
1733C22×C4—22no—
1734C22×C4—24no—
1735C22×C4—24no—
1736C22×C4—24no—
1737C22×C4—24no—
1738C22×C4—24no—
1739C22×C4—24no—
1740C22×C4—41no—
1741C22×C4—41no—
1742C22×C4—41no—
1743C22×C4—41no—
1744C22×C4—41no—
1745C22×C4—41no—
1746C22×C4—41no—
1747C22×C4—41no—
1748C22×C4—41no—
1749C22×C4—41no—
1750C22×C4—41no—
1751C22×C4—41no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—42no—
1757C22×C4—42no—
1758C22×C4—42no—
1759C22×C4—42no—
1760C22×C4—42no—
1761C22×C4—42no—
1762C22×C4—42no—
1763C22×C4—42no—
1764C22×C4—41no—
1765C22×C4—41no—
1766C22×C4—41no—
1767C22×C4—41no—
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×C4C2×#4114yes—
1778C22×C4C2×#4114yes—
1779C22×C4C2×#4114yes—
1780C22×C4H(5,𝔽2)14yes—
1781C22×C4H(5,𝔽2)14yes—
1782C22×C4C2512yes—
1783C22×C4C2511yescharacteristic
1784C22×C4C2511yescharacteristic
1785C22×C4C2511yescharacteristic
1786C22×C4C2511yescharacteristic
1787C22×C4C2512yes—
1788C22×C4C2512yes—
1789C22×C4C2512yes—
1790C22×C4C2512yes—
1791C22×C4C2512yes—
1792C22×C4C2512yes—
1793C22×C4C2512yes—
1794C22×C4C2512yes—
1795C22×C4C2512yes—
1796C22×C4C2512yes—
1797C22×C4C2512yes—
1798C22×C4C2512yes—
1799C22×C4C2512yes—
1800C22×C4C2512yes—
1801C22×C4C2511yescharacteristic
1802C22×C4C2511yescharacteristic
1803C22×C4C2512yes—
1804C22×C4C2512yes—
1805C22×C4C2512yes—
1806C22×C4C2512yes—
1807C22×C4C2511yescharacteristic
1808C22×C4C2512yes—
1809C22×C4C2511yescharacteristic
1810C22×C4C2511yescharacteristic
1811C22×C4C2512yes—
1812C22×C4C2511yescharacteristic
1813C22×C4C2511yescharacteristic
1814C22×C4C2511yescharacteristic
1815C22×C4C2511yescharacteristic
1816C22×C4C2511yescharacteristic
1817C4⋊C4—24no—
1818C4⋊C4—24no—
1819C4⋊C4—24no—
1820C4⋊C4—22no—
1821C4⋊C4—22no—
1822C4⋊C4—24no—
1823C4⋊C4—24no—
1824C4⋊C4—22no—
1825C4⋊C4—22no—
1826C4⋊C4—24no—
1827C4⋊C4—24no—
1828C4⋊C4—24no—
1829C4⋊C4—24no—
1830C4⋊C4—24no—
1831C4⋊C4—24no—
1832C4⋊C4—24no—
1833C4⋊C4—24no—
1834C4⋊C4—24no—
1835C4⋊C4—24no—
1836C4⋊C4—24no—
1837C4⋊C4—24no—
1838C4⋊C4—24no—
1839C4⋊C4—24no—
1840C4⋊C4—22no—
1841C4⋊C4—22no—
1842C4⋊C4—22no—
1843C4⋊C4—22no—
1844C4⋊C4—24no—
1845C4⋊C4—24no—
1846C4⋊C4—24no—
1847C4⋊C4—24no—
1848C4⋊C4—24no—
1849C4⋊C4—24no—
1850C4⋊C4—22no—
1851C4⋊C4—22no—
1852C4⋊C4—22no—
1853C4⋊C4—24no—
1854C4⋊C4—24no—
1855C4⋊C4—24no—
1856C4⋊C4—24no—
1857C4⋊C4—24no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—41no—
1866C4⋊C4—41no—
1867C4⋊C4—41no—
1868C4⋊C4—42no—
1869C4⋊C4—41no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—42no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—42no—
1878C4⋊C4—42no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4—41no—
1882C4⋊C4—41no—
1883C4⋊C4—42no—
1884C4⋊C4—42no—
1885C4⋊C4—42no—
1886C4⋊C4—42no—
1887C4⋊C4—42no—
1888C4⋊C4—42no—
1889C4⋊C4—42no—
1890C4⋊C4—42no—
1891C4⋊C4—42no—
1892C4⋊C4—42no—
1893C4⋊C4—42no—
1894C4⋊C4—42no—
1895C4⋊C4—42no—
1896C4⋊C4—42no—
1897C4⋊C4—42no—
1898C4⋊C4—42no—
1899C4⋊C4—42no—
1900C4⋊C4—42no—
1901C4⋊C4—42no—
1902C4⋊C4—42no—
1903C4⋊C4—42no—
1904C4⋊C4—42no—
1905C4⋊C4—41no—
1906C4⋊C4—41no—
1907C4⋊C4—42no—
1908C4⋊C4—42no—
1909C4⋊C4—42no—
1910C4⋊C4—42no—
1911C4⋊C4C2×#4118yes—
1912C4⋊C4C2×#4118yes—
1913C4⋊C42−1+414yes—
1914C22⋊C4—24no—
1915C22⋊C4—24no—
1916C22⋊C4—24no—
1917C22⋊C4—24no—
1918C22⋊C4—24no—
1919C22⋊C4—24no—
1920C22⋊C4—24no—
1921C22⋊C4—24no—
1922C22⋊C4—24no—
1923C22⋊C4—24no—
1924C22⋊C4—24no—
1925C22⋊C4—24no—
1926C22⋊C4—24no—
1927C22⋊C4—24no—
1928C22⋊C4—24no—
1929C22⋊C4—24no—
1930C22⋊C4—24no—
1931C22⋊C4—24no—
1932C22⋊C4—24no—
1933C22⋊C4—24no—
1934C22⋊C4—24no—
1935C22⋊C4—24no—
1936C22⋊C4—24no—
1937C22⋊C4—24no—
1938C22⋊C4—24no—
1939C22⋊C4—24no—
1940C22⋊C4—24no—
1941C22⋊C4—24no—
1942C22⋊C4—24no—
1943C22⋊C4—24no—
1944C22⋊C4—42no—
1945C22⋊C4—42no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—42no—
1949C22⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C22⋊C4—42no—
1961C22⋊C4—42no—
1962C22⋊C4—42no—
1963C22⋊C4—42no—
1964C22⋊C4—42no—
1965C22⋊C4—42no—
1966C22⋊C4—42no—
1967C22⋊C4—42no—
1968C22⋊C4—42no—
1969C22⋊C4—42no—
1970C22⋊C4—42no—
1971C22⋊C4—42no—
1972C22⋊C4—42no—
1973C22⋊C4—42no—
1974C22⋊C4—42no—
1975C22⋊C4—42no—
1976C22⋊C4—42no—
1977C22⋊C4—42no—
1978C22⋊C4—42no—
1979C22⋊C4—42no—
1980C22⋊C4—42no—
1981C22⋊C4—42no—
1982C22⋊C4—42no—
1983C22⋊C4—42no—
1984C22⋊C4—42no—
1985C42—24no—
1986C42—24no—
1987C42—24no—
1988C42—22no—
1989C42—22no—
1990C42—22no—
1991C42—22no—
1992C42—22no—
1993C42—22no—
1994C42—22no—
1995C42—22no—
1996C42—24no—
1997C42—22no—
1998C42—22no—
1999C42—24no—
2000C42—41no—
2001C42—41no—
2002C42—42no—
2003C42—42no—
2004C42—42no—
2005C42—42no—
2006C42—42no—
2007C42—42no—
2008C42—42no—
2009C42—42no—
2010C42—42no—
2011C42—42no—
2012C42—42no—
2013C42—42no—
2014C42—42no—
2015C42—42no—
2016C42—42no—
2017C42—42no—
2018C42—42no—
2019C42—42no—
2020C42—42no—
2021C42—42no—
2022C42—42no—
2023C42—42no—
2024C23—21no—
2025C23—21no—
2026C23—21no—
2027C23—21no—
2028C23—22no—
2029C23—22no—
2030C23—22no—
2031C23—22no—
2032C23—22no—
2033C23—22no—
2034C23—22no—
2035C23—22no—
2036C23—22no—
2037C23—22no—
2038C23—22no—
2039C23—22no—
2040C23—22no—
2041C23—22no—
2042C23—22no—
2043C23—22no—
2044C23—22no—
2045C23—22no—
2046C23—22no—
2047C23—22no—
2048C23—22no—
2049C23C22×#4112yes—
2050C23C2×H(5,𝔽2)12yes—
2051C23C2×H(5,𝔽2)12yes—
2052C23C2611yescharacteristic
2053Q8—48no—
2054Q8—48no—
2055Q8—48no—
2056Q8—48no—
2057Q8—82no—
2058Q8—84no—
2059Q8—84no—
2060Q8—162no—
2061D4—44no—
2062D4—48no—
2063D4—48no—
2064D4—48no—
2065D4—84no—
2066D4—82no—
2067D4—82no—
2068D4—84no—
2069D4—84no—
2070D4—84no—
2071D4—162no—
2072D4—162no—
2073C2×C4—28no—
2074C2×C4—21no—
2075C2×C4—21no—
2076C2×C4—22no—
2077C2×C4—21no—
2078C2×C4—21no—
2079C2×C4—21no—
2080C2×C4—21no—
2081C2×C4—22no—
2082C2×C4—21no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—21no—
2086C2×C4—21no—
2087C2×C4—21no—
2088C2×C4—21no—
2089C2×C4—21no—
2090C2×C4—21no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—21no—
2094C2×C4—21no—
2095C2×C4—21no—
2096C2×C4—28no—
2097C2×C4—28no—
2098C2×C4—28no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—21no—
2105C2×C4—21no—
2106C2×C4—22no—
2107C2×C4—21no—
2108C2×C4—21no—
2109C2×C4—21no—
2110C2×C4—21no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—21no—
2119C2×C4—21no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—21no—
2132C2×C4—21no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—22no—
2139C2×C4—22no—
2140C2×C4—21no—
2141C2×C4—21no—
2142C2×C4—22no—
2143C2×C4—21no—
2144C2×C4—22no—
2145C2×C4—21no—
2146C2×C4—22no—
2147C2×C4—22no—
2148C2×C4—22no—
2149C2×C4—22no—
2150C2×C4—22no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—22no—
2154C2×C4—22no—
2155C2×C4—22no—
2156C2×C4—22no—
2157C2×C4—22no—
2158C2×C4—22no—
2159C2×C4—22no—
2160C2×C4—22no—
2161C2×C4—22no—
2162C2×C4—21no—
2163C2×C4—22no—
2164C2×C4—22no—
2165C2×C4—21no—
2166C2×C4—21no—
2167C2×C4—22no—
2168C2×C4—22no—
2169C2×C4—22no—
2170C2×C4—21no—
2171C2×C4—44no—
2172C2×C4—44no—
2173C2×C4—44no—
2174C2×C4—44no—
2175C2×C4—44no—
2176C2×C4—44no—
2177C2×C4—44no—
2178C2×C4—84no—
2179C2×C4—84no—
2180C2×C4—84no—
2181C2×C4—84no—
2182C2×C4—84no—
2183C2×C4—84no—
2184C2×C4—82no—
2185C2×C4—82no—
2186C2×C4—82no—
2187C2×C4—82no—
2188C2×C4—162no—
2189C2×C4—162no—
2190C2×C4—162no—
2191C2×C4C22×#4114yes—
2192C2×C4C22×#4112yes—
2193C2×C4C22×#4114yes—
2194C2×C4C22×#4112yes—
2195C2×C4C2×H(5,𝔽2)12yes—
2196C2×C4C2×H(5,𝔽2)12yes—
2197C2×C4C2×H(5,𝔽2)14yes—
2198C2×C4C2×2−1+412yes—
2199C2×C4C2×2−1+412yes—
2200C2×C4C2×2−1+412yes—
2201C2×C4#58512yes—
2202C22—22no—
2203C22—22no—
2204C22—22no—
2205C22—22no—
2206C22—22no—
2207C22—22no—
2208C22—42no—
2209C22—42no—
2210C22—42no—
2211C22—42no—
2212C22—42no—
2213C22—42no—
2214C22—42no—
2215C22—42no—
2216C22—42no—
2217C22—42no—
2218C22—42no—
2219C22—42no—
2220C22—42no—
2221C22—42no—
2222C22—42no—
2223C22—42no—
2224C22—42no—
2225C22—42no—
2226C22—42no—
2227C22—42no—
2228C22—42no—
2229C22#351914yes—
2230C22C23×#4111yescharacteristic
2231C22C22×H(5,𝔽2)11yescharacteristic
2232C22C22×H(5,𝔽2)11yescharacteristic
2233C22C22×2−1+411yescharacteristic
2234C22C2×#58511yescharacteristic
2235C222−1+611yescharacteristic
2236C222−1+611yescharacteristic
2237C4—22no—
2238C4—24no—
2239C4—22no—
2240C4—24no—
2241C4—22no—
2242C4—22no—
2243C4—24no—
2244C4—22no—
2245C4—22no—
2246C4—22no—
2247C4—22no—
2248C4—41no—
2249C4—41no—
2250C4—42no—
2251C4—42no—
2252C4—42no—
2253C4—42no—
2254C4—42no—
2255C4—42no—
2256C4—42no—
2257C4—42no—
2258C4—42no—
2259C4—42no—
2260C4—42no—
2261C4—41no—
2262C4—41no—
2263C4—42no—
2264C4—42no—
2265C4—42no—
2266C4—41no—
2267C4—41no—
2268C4—42no—
2269C4—42no—
2270C4—42no—
2271C4—42no—
2272C2—24no—
2273C2—82no—
2274C2—82no—
2275C2—82no—
2276C2C2×#351911yescharacteristic
2277C2#6278811yescharacteristic
2278C2#6286011yescharacteristic
2279C2#6290111yescharacteristic
2280C2#6293111yescharacteristic
2281C2#6294211yescharacteristic
2282C2#6294611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37679C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #49809C2semidirect
2. #49805C2semidirect
3. #49804C2semidirect
4. #49800C2semidirect
5. #48167C2semidirect
6. #48163C2semidirect
7. #48162C2semidirect
8. #48158C2semidirect
9. #44327C2semidirect
10. #44323C2semidirect
11. #44319C2semidirect
12. #44317C2semidirect
13. #43482C2semidirect
14. #43450C2semidirect
15. #43292C2semidirect
16. #43133C2semidirect
17. #39549C2semidirect
18. #39431C2semidirect
19. #39431C2semidirect
20. #39413C2semidirect
21. #39337C2semidirect
22. #37951C2semidirect
23. #37877C2semidirect
24. #37771C2semidirect
26. #37000C2semidirect
27. #36823C2semidirect
28. #36604C2semidirect
29. #36200C2semidirect
30. #36139C2semidirect
31. #35178C2semidirect
32. #35153C2semidirect
33. #35098C2semidirect
34. #35092C2semidirect
35. #35058C2semidirect
36. #35004C2semidirect
37. #34602C2semidirect
38. #34469C2semidirect
39. C2×#2365C2semidirect

Maximal subgroups

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

subgroupindex
#498092
#498052
#498042
#498002
#481672
#481632
#481622
#481582
#443272
#443232
#443192
#443172
#434822
#434502
#432922
#431332
#395492
#394312
#394132
#393372
#379512
#378772
#377712
#376792
#370002
#368232
#366042
#362002
#361392
#351782
#351532
#350982
#350922
#350582
#350042
#346022
#344692
C2×#23652