Finite Group Databasebeta

← #7733866

Subgroups — #7733866

Order 512.

4846 conjugacy classes of subgroups.

The subgroup lattice has 2118 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59849C212yesmaximal, complemented
2#59849C212yesmaximal, complemented
3#59289C212yesmaximal, complemented
4#59111C212yesmaximal, complemented
5#48911C212yesmaximal, complemented
6#48908C212yesmaximal, complemented
7#48044C212yesmaximal, complemented
8#48041C212yesmaximal, complemented
9#44795C212yesmaximal, complemented
10#44761C212yesmaximal, complemented
11#44043C212yesmaximal, complemented
12#43977C212yesmaximal, complemented
13#43587C212yesmaximal, complemented
14#43581C212yesmaximal, complemented
15#43163C212yesmaximal, complemented
16#43157C212yesmaximal, complemented
17#39636C212yesmaximal, complemented
18#38979C212yesmaximal, complemented
19#38065C212yesmaximal, complemented
20#38064C212yesmaximal, complemented
21#36825C212yesmaximal, complemented
22#36782C212yesmaximal, complemented
23#36571C212yesmaximal, complemented
24#36337C212yesmaximal, complemented
25#36245C212yesmaximal, complemented
26#36223C212yesmaximal, complemented
27#35400C212yesmaximal, complemented
28#35399C212yesmaximal, complemented
29#35306C211yesmaximal, characteristic
30#35057C211yesmaximal, characteristic
31C2×#2583C211yesmaximal, characteristic, complemented
32#34739C211yesmaximal, characteristic, complemented
33#34359C211yesmaximal, characteristic, complemented
34#34228C211yesmaximal, characteristic
35C2×#2344C211yesmaximal, characteristic, complemented
36C2×#552C2212yes—
37C2×#536C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×#117C2211yescharacteristic
42C22×#117C2211yescharacteristic
43C23×C4⋊C4C2211yescharacteristic
44#2857C2212yes—
45#2852C2212yes—
46#2852C2212yes—
47#2851C2212yes—
48#2851C2212yes—
49#2850C2212yes—
50#2849C2212yes—
51#2849C2212yes—
52#2802C2212yescomplemented
53#2802C2212yescomplemented
54#2799C2212yescomplemented
55#2799C2212yescomplemented
56#2791C2212yescomplemented
57#2791C2212yescomplemented
58#2789C2212yescomplemented
59#2786C2212yescomplemented
60#2783C2212yescomplemented
61#2783C2212yescomplemented
62#2776C2212yescomplemented
63#2776C2212yescomplemented
64#2776C2212yescomplemented
65#2772C2212yescomplemented
66#2772C2212yescomplemented
67#2771C2212yes—
68#2769C2212yescomplemented
69#2767C2212yescomplemented
70#2766C2212yescomplemented
71#2766C2212yescomplemented
72#2766C2212yescomplemented
73#2765C2212yes—
74#2765C2212yes—
75#2764C2212yes—
76#2762C2212yescomplemented
77#2762C2212yescomplemented
78#2762C2212yescomplemented
79#2761C2212yes—
80#2758C2212yescomplemented
81#2758C2212yescomplemented
82#2755C2212yescomplemented
83#2755C2212yescomplemented
84#2755C2212yescomplemented
85#2751C2212yes—
86#2750C2212yes—
87#2747C2212yescomplemented
88#2745C2212yes—
89#2744C2212yes—
90#2744C2212yescomplemented
91#2743C2212yes—
92#2740C2212yescomplemented
93#2739C2212yes—
94#2739C2212yescomplemented
95#2738C2212yes—
96#2725C2212yescomplemented
97#2725C2212yescomplemented
98#2725C2212yescomplemented
99#2725C2212yescomplemented
100#2722C2212yescomplemented
101#2719C2212yescomplemented
102#2719C2212yescomplemented
103#2719C2212yescomplemented
104#2715C2212yescomplemented
105#2713C2212yescomplemented
106#2713C2212yescomplemented
107#2707C2212yes—
108#2704C2212yescomplemented
109#2700C2212yescomplemented
110#2698C2212yescomplemented
111#2695C2212yes—
112#2694C2212yes—
113#2690C2212yescomplemented
114#2689C2212yescomplemented
115#2687C2212yes—
116#2646C2212yes—
117#2646C2212yes—
118#2643C2212yes—
119#2643C2212yes—
120#2627C2212yes—
121#2621C2212yes—
122#2620C2212yes—
123#2618C2212yes—
124#2612C2212yescomplemented
125#2612C2212yescomplemented
126#2611C2212yes—
127#2609C2212yes—
128#2608C2212yescomplemented
129#2608C2212yescomplemented
130#2606C2212yescomplemented
131#2606C2212yescomplemented
132#2606C2212yescomplemented
133#2605C2212yescomplemented
134#2605C2212yescomplemented
135#2601C2212yes—
136#2601C2212yescomplemented
137#2599C2212yes—
138#2596C2212yescomplemented
139#2596C2212yescomplemented
140#2594C2212yescomplemented
141#2594C2212yescomplemented
142#2591C2211yescharacteristic
143#2591C2211yescharacteristic
144#2590C2212yescomplemented
145#2590C2212yescomplemented
146#2588C2212yescomplemented
147#2588C2212yescomplemented
148#2588C2212yescomplemented
149#2587C2212yescomplemented
150#2587C2212yescomplemented
151#2586C2212yescomplemented
152#2585C2212yescomplemented
153#2585C2212yescomplemented
154#2585C2212yescomplemented
155#2585C2212yescomplemented
156#2585C2212yescomplemented
157#2585C2212yescomplemented
158#2585C2212yescomplemented
159#2583C2212yes—
160#2583C2212yes—
161#2583C2212yes—
162#2583C2211yescharacteristic
163#2583C2211yescharacteristic
164#2583C2212yes—
165#2583C2212yes—
166#2583C2211yescharacteristic
167#2583C2211yescharacteristic
168#2583C2212yes—
169#2583C2211yescharacteristic
170#2583C2211yescharacteristic
171#2579C2212yes—
172#2579C2212yes—
173#2575C2212yes—
174#2574C2212yescomplemented
175#2573C2212yes—
176#2573C2212yescomplemented
177#2573C2212yescomplemented
178#2570C2212yescomplemented
179#2569C2212yescomplemented
180#2565C2212yescomplemented
181#2560C2212yescomplemented
182#2558C2212yes—
183#2556C2212yescomplemented
184#2553C2212yes—
185#2550C2212yescomplemented
186#2550C2212yescomplemented
187#2549C2212yescomplemented
188#2528C2212yescomplemented
189#2527C2212yes—
190#2525C2212yescomplemented
191#2525C2212yescomplemented
192#2524C2212yescomplemented
193#2522C2212yescomplemented
194#2521C2212yescomplemented
195#2520C2212yescomplemented
196#2520C2212yescomplemented
197#2520C2212yescomplemented
198#2515C2212yes—
199#2510C2212yes—
200#2510C2212yes—
201#2509C2212yescomplemented
202#2509C2212yescomplemented
203#2509C2212yescomplemented
204#2507C2212yescomplemented
205#2506C2212yescomplemented
206#2505C2212yes—
207#2505C2212yes—
208#2505C2212yes—
209#2505C2212yes—
210#2503C2212yes—
211#2498C2212yes—
212#2498C2212yes—
213#2497C2212yescomplemented
214#2494C2212yescomplemented
215#2493C2212yes—
216#2493C2212yes—
217#2493C2212yes—
218#2493C2212yes—
219#2488C2212yes—
220#2488C2212yes—
221#2486C2212yes—
222#2484C2212yes—
223#2484C2212yes—
224#2484C2212yes—
225#2481C2212yes—
226#2481C2212yes—
227#2481C2212yes—
228#2481C2212yes—
229#2479C2212yes—
230#2477C2212yes—
231#2475C2212yes—
232#2475C2212yes—
233#2474C2212yescomplemented
234#2473C2212yes—
235#2473C2212yes—
236#2473C2212yes—
237#2473C2212yes—
238#2473C2212yes—
239#2473C2212yes—
240#2470C2212yes—
241#2469C2212yescomplemented
242#2469C2212yescomplemented
243#2465C2212yescomplemented
244#2462C2212yescomplemented
245#2458C2212yes—
246#2453C2212yescomplemented
247#2453C2212yescomplemented
248#2453C2212yescomplemented
249#2451C2212yescomplemented
250#2450C2212yes—
251#2450C2212yes—
252#2449C2212yes—
253#2449C2212yes—
254#2446C2212yescomplemented
255#2442C2212yes—
256#2442C2212yes—
257#2441C2212yes—
258#2441C2212yescomplemented
259#2440C2212yes—
260#2439C2212yes—
261#2439C2212yescomplemented
262#2438C2212yes—
263#2438C2212yes—
264#2438C2212yes—
265#2438C2212yes—
266#2438C2212yescomplemented
267#2438C2212yescomplemented
268#2437C2212yes—
269#2437C2212yes—
270#2429C2212yescomplemented
271#2421C2212yescomplemented
272#2419C2212yes—
273#2419C2212yes—
274#2417C2212yes—
275#2417C2212yes—
276#2417C2212yes—
277#2415C2212yes—
278#2415C2212yes—
279#2413C2212yes—
280#2413C2212yes—
281#2413C2212yes—
282#2413C2212yes—
283#2413C2212yes—
284#2413C2212yes—
285#2412C2212yes—
286#2412C2212yes—
287#2406C2212yes—
288#2396C2212yes—
289#2396C2212yes—
290C2×#398C2212yes—
291C2×#395C2212yes—
292#2378C2212yes—
293#2378C2212yes—
294#2373C2212yescomplemented
295#2373C2212yescomplemented
296#2370C2212yescomplemented
297#2370C2212yescomplemented
298#2370C2212yescomplemented
299#2368C2212yes—
300#2368C2212yes—
301#2368C2212yes—
302#2364C2212yes—
303#2362C2212yescomplemented
304#2360C2212yes—
305#2359C2212yes—
306#2359C2212yes—
307#2358C2212yes—
308#2358C2212yes—
309#2357C2212yes—
310#2353C2212yes—
311#2352C2212yes—
312#2351C2212yescomplemented
313#2347C2212yescomplemented
314#2344C2212yes—
315#2344C2212yes—
316#2344C2212yes—
317#2344C2212yes—
318#2344C2212yes—
319#2344C2212yes—
320#2344C2212yes—
321#2344C2212yes—
322#2344C2212yes—
323#2344C2212yes—
324#2344C2212yes—
325#2343C2212yes—
326#2343C2212yes—
327#2343C2212yes—
328#2342C2212yes—
329#2342C2212yes—
330#2339C2212yes—
331#2333C2211yescharacteristic
332#2333C2211yescharacteristic
333#2332C2211yescharacteristic
334#2332C2211yescharacteristic
335#2332C2211yescharacteristic
336#2332C2211yescharacteristic
337#2332C2211yescharacteristic
338#2332C2211yescharacteristic
339#2329C2212yes—
340#2329C2212yes—
341#2329C2212yes—
342#2329C2212yes—
343#2322C2212yes—
344#2322C2212yes—
345#2318C2212yes—
346#2318C2212yes—
347#2318C2212yes—
348#2317C2211yescharacteristic
349#2313C2212yes—
350#2311C2211yescharacteristic
351#2310C2212yes—
352#2310C2211yescharacteristic
353C4×C22⋊Q8C2212yes—
354C4×C22⋊Q8C2212yes—
355C4×C22⋊Q8C2212yes—
356C4×C22⋊Q8C2212yes—
357C4×#123C2212yes—
358C4×#123C2212yes—
359#2296C2211yescharacteristic
360#2296C2211yescharacteristic
361C2×#389C2212yes—
362C2×#389C2212yes—
363C2×#389C2212yes—
364#2290C2212yes—
365#2290C2212yes—
366C2×#387C2212yes—
367C2×#387C2212yes—
368C2×#385C2212yes—
369C2×#385C2212yes—
370#2285C2211yescharacteristic
371#2280C2211yescharacteristic
372C2×#381C2211yescharacteristic
373C2×#381C2211yescharacteristic
374C2×#380C2211yescharacteristic
375#2275C2212yes—
376C2×C4×C4⋊C4C2212yes—
377C2×C4×C22⋊C4C2211yescharacteristic
378C2×C4×C22⋊C4C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381C24×C4C2311yescharacteristic
382C24×C4C2311yescharacteristic
383C24×C4C2311yescharacteristic
384#552—48no—
385#536—44no—
386#533—44no—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#124C2312yes—
401#525—28no—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×C22⋊Q8—28no—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#120C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×#117—44no—
440C2×#117—44no—
441C2×#117C2311yescharacteristic
442C2×#117C2311yescharacteristic
443C2×#117C2312yes—
444C2×#117C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2311yescharacteristic
454C2×#117C2311yescharacteristic
455C2×#117C2311yescharacteristic
456C2×#117C2312yes—
457C2×#117C2312yes—
458C22×C4⋊C4—28no—
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2312yes—
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2312yes—
478C22×C22⋊C4C2311yescharacteristic
479C22×C22⋊C4C2311yescharacteristic
480C22×C22⋊C4C2311yescharacteristic
481C22×C22⋊C4C2311yescharacteristic
482C22×C42C2312yes—
483C22×C42C2312yes—
484C22×C42C2312yes—
485C22×C42C2311yescharacteristic
486C22×C42C2311yescharacteristic
487#401C2312yes—
488#401C2312yes—
489#401C2312yes—
490#401C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#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#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#390C2312yes—
673#390C2312yes—
674#390C2312yes—
675#389C2312yes—
676#389C2312yes—
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#389C2312yes—
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#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
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#387C2312yes—
784#387C2312yes—
785#387C2312yes—
786#387C2312yes—
787#387C2312yes—
788#387C2312yes—
789#387C2312yes—
790#387C2312yes—
791#387C2312yes—
792#387C2312yes—
793#387C2312yes—
794#387C2312yes—
795#387C2312yes—
796#387C2312yes—
797#387C2312yes—
798#387C2312yes—
799#387C2312yes—
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#386C2312yes—
892#386C2312yes—
893#386C2312yes—
894#386C2312yes—
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#385C2312yes—
914#385C2312yes—
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#384C2312yes—
964#384C2312yes—
965#383C2312yes—
966#383C2312yes—
967#383C2312yes—
968#383C2312yes—
969#383C2312yes—
970#383C2312yes—
971#383C2312yes—
972#382C2312yes—
973#382C2312yes—
974#382C2312yes—
975#382C2312yes—
976#382C2312yes—
977#382C2312yes—
978#382C2312yes—
979#382C2312yes—
980#382C2312yes—
981#382C2312yes—
982#382C2312yes—
983#381C2312yes—
984#381C2312yes—
985#381C2312yes—
986#381C2312yes—
987#381C2312yes—
988#381C2312yes—
989#381C2312yes—
990#381C2312yes—
991#381C2312yes—
992#381C2312yes—
993#381C2312yes—
994#381C2311yescharacteristic
995#381C2311yescharacteristic
996#381C2311yescharacteristic
997#381C2311yescharacteristic
998#381C2312yes—
999#381C2312yes—
1000#381C2312yes—
1001#381C2312yes—
1002#381C2312yes—
1003#381C2312yes—
1004#381C2312yes—
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#380C2312yes—
1028#379C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C4⋊C4C2312yes—
1032C4×C4⋊C4C2312yes—
1033C4×C4⋊C4C2312yes—
1034C4×C4⋊C4C2312yes—
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
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×C22⋊C4C2312yes—
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2311yescharacteristic
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2311yescharacteristic
1072C4×C22⋊C4C2311yescharacteristic
1073C4×C22⋊C4C2311yescharacteristic
1074C4×C22⋊C4C2311yescharacteristic
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2311yescharacteristic
1078C4×C22⋊C4C2311yescharacteristic
1079C4×C22⋊C4C2311yescharacteristic
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—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C2×#95C2312yes—
1104C2×#95C2312yes—
1105C2×#95C2312yes—
1106C25C2411yescharacteristic
1107C2×#41—24no—
1108C2×#41—42no—
1109C2×#41—42no—
1110C22×Q8—24no—
1111C22×Q8—42no—
1112C22×Q8—42no—
1113C22×Q8C2412yes—
1114C22×Q8C2412yes—
1115C22×Q8C2411yescharacteristic
1116C22×Q8C2411yescharacteristic
1117C22×Q8C2412yes—
1118C22×Q8C2411yescharacteristic
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C23×C4—24no—
1124C23×C4—24no—
1125C23×C4—44no—
1126C23×C4—42no—
1127C23×C4—42no—
1128C23×C4—42no—
1129C23×C4—42no—
1130C23×C4#4118yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2411yescharacteristic
1140C23×C4C2411yescharacteristic
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2411yescharacteristic
1146C23×C4C2412yes—
1147C23×C4C2411yescharacteristic
1148C23×C4C2411yescharacteristic
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2411yescharacteristic
1153C23×C4C2411yescharacteristic
1154C23×C4C2411yescharacteristic
1155C23×C4C2411yescharacteristic
1156C4⋊Q8—44no—
1157C4⋊Q8—44no—
1158#126—44no—
1159#126—44no—
1160#126—44no—
1161#126—44no—
1162#125—44no—
1163#125—44no—
1164#125—44no—
1165#125—44no—
1166#125—44no—
1167#125—44no—
1168#125—44no—
1169#124—44no—
1170#123—28no—
1171#123—28no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177C22⋊Q8—24no—
1178C22⋊Q8—24no—
1179C22⋊Q8—24no—
1180C22⋊Q8—24no—
1181C22⋊Q8—28no—
1182C22⋊Q8—28no—
1183C22⋊Q8—24no—
1184C22⋊Q8—24no—
1185C22⋊Q8—28no—
1186C22⋊Q8—28no—
1187C22⋊Q8—28no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193#121—24no—
1194#121—24no—
1195#120—28no—
1196C4×Q8—44no—
1197C4×Q8—44no—
1198C4×Q8—44no—
1199C4×Q8—44no—
1200C4×D4—28no—
1201C4×D4—28no—
1202C4×D4—28no—
1203C4×D4—28no—
1204C4×D4—44no—
1205C4×D4—44no—
1206#117—24no—
1207#117—24no—
1208#117—24no—
1209#117—28no—
1210#117—44no—
1211#117—44no—
1212#117—44no—
1213#117—44no—
1214#117—44no—
1215#117—44no—
1216#117—44no—
1217#117—42no—
1218#117—42no—
1219#117—44no—
1220#117—42no—
1221#117—42no—
1222#117—44no—
1223C2×C4⋊C4—24no—
1224C2×C4⋊C4—24no—
1225C2×C4⋊C4—28no—
1226C2×C4⋊C4—28no—
1227C2×C4⋊C4—28no—
1228C2×C4⋊C4—24no—
1229C2×C4⋊C4—24no—
1230C2×C4⋊C4—28no—
1231C2×C4⋊C4—28no—
1232C2×C4⋊C4—24no—
1233C2×C4⋊C4—44no—
1234C2×C4⋊C4—44no—
1235C2×C4⋊C4—44no—
1236C2×C4⋊C4—44no—
1237C2×C4⋊C4—44no—
1238C2×C4⋊C4—44no—
1239C2×C4⋊C4—44no—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C22⋊C4—28no—
1338C2×C22⋊C4—24no—
1339C2×C22⋊C4—28no—
1340C2×C22⋊C4—42no—
1341C2×C22⋊C4—42no—
1342C2×C22⋊C4—42no—
1343C2×C22⋊C4C2411yescharacteristic
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2411yescharacteristic
1347C2×C22⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2411yescharacteristic
1372C2×C22⋊C4C2411yescharacteristic
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2411yescharacteristic
1375C2×C22⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2411yescharacteristic
1395C2×C22⋊C4C2412yes—
1396C2×C42—44no—
1397C2×C42—44no—
1398C2×C42—44no—
1399C2×C42—42no—
1400C2×C42—42no—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2411yescharacteristic
1416C2×C42C2411yescharacteristic
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2411yescharacteristic
1420C2×C42C2411yescharacteristic
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2411yescharacteristic
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2411yescharacteristic
1433C2×C42C2411yescharacteristic
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2411yescharacteristic
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—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558C24—22no—
1559C24—24no—
1560C24—22no—
1561C24—42no—
1562C24C2×#4114yes—
1563C24C2512yes—
1564C24C2511yescharacteristic
1565C24C2511yescharacteristic
1566C24C2511yescharacteristic
1567#41—88no—
1568C2×Q8—22no—
1569C2×Q8—22no—
1570C2×Q8—24no—
1571C2×Q8—22no—
1572C2×Q8—24no—
1573C2×Q8—24no—
1574C2×Q8—24no—
1575C2×Q8—42no—
1576C2×Q8—42no—
1577C2×Q8—41no—
1578C2×Q8—41no—
1579C2×Q8—42no—
1580C2×Q8—42no—
1581C2×Q8—41no—
1582C2×Q8—41no—
1583C2×Q8—41no—
1584C2×Q8—42no—
1585C2×Q8—41no—
1586C2×Q8—88no—
1587C2×D4—24no—
1588C2×D4—24no—
1589C2×D4—24no—
1590C2×D4—24no—
1591C2×D4—24no—
1592C2×D4—24no—
1593C2×D4—24no—
1594C2×D4—22no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—41no—
1598C2×D4—41no—
1599C22×C4—22no—
1600C22×C4—22no—
1601C22×C4—22no—
1602C22×C4—22no—
1603C22×C4—22no—
1604C22×C4—24no—
1605C22×C4—24no—
1606C22×C4—24no—
1607C22×C4—24no—
1608C22×C4—24no—
1609C22×C4—22no—
1610C22×C4—22no—
1611C22×C4—22no—
1612C22×C4—24no—
1613C22×C4—24no—
1614C22×C4—24no—
1615C22×C4—24no—
1616C22×C4—24no—
1617C22×C4—24no—
1618C22×C4—24no—
1619C22×C4—24no—
1620C22×C4—24no—
1621C22×C4—24no—
1622C22×C4—24no—
1623C22×C4—24no—
1624C22×C4—24no—
1625C22×C4—24no—
1626C22×C4—24no—
1627C22×C4—24no—
1628C22×C4—24no—
1629C22×C4—24no—
1630C22×C4—24no—
1631C22×C4—24no—
1632C22×C4—41no—
1633C22×C4—41no—
1634C22×C4—42no—
1635C22×C4—41no—
1636C22×C4—41no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—41no—
1640C22×C4—41no—
1641C22×C4—42no—
1642C22×C4—416no—
1643C22×C4—41no—
1644C22×C4—41no—
1645C22×C4—41no—
1646C22×C4—41no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—41no—
1651C22×C4—41no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—416no—
1668C22×C4—416no—
1669C22×C4C2×#4114yes—
1670C22×C4C2×#4114yes—
1671C22×C4C2×#4114yes—
1672C22×C4C2×#4114yes—
1673C22×C4C2×#4114yes—
1674C22×C4C2×#4114yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2511yescharacteristic
1699C22×C4C2511yescharacteristic
1700C22×C4C2511yescharacteristic
1701C22×C4C2511yescharacteristic
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—22no—
1715C4⋊C4—22no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—22no—
1722C4⋊C4—22no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
1749C4⋊C4—24no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—22no—
1811C22⋊C4—24no—
1812C22⋊C4—22no—
1813C22⋊C4—22no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—41no—
1832C22⋊C4—41no—
1833C22⋊C4—41no—
1834C22⋊C4—41no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4H(5,𝔽2)14yes—
1855C22⋊C42−1+418yes—
1856C42—24no—
1857C42—24no—
1858C42—24no—
1859C42—24no—
1860C42—24no—
1861C42—24no—
1862C42—24no—
1863C42—24no—
1864C42—24no—
1865C42—42no—
1866C42—42no—
1867C42—41no—
1868C42—42no—
1869C42—41no—
1870C42—42no—
1871C42—42no—
1872C42—42no—
1873C42—42no—
1874C42—42no—
1875C42—41no—
1876C42—41no—
1877C42—41no—
1878C42—41no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—41no—
1884C42—41no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C23—21no—
1894C23—22no—
1895C23—22no—
1896C23—22no—
1897C23—21no—
1898C23—21no—
1899C23—22no—
1900C23—22no—
1901C23—21no—
1902C23—28no—
1903C23—28no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—44no—
1912C23—48no—
1913C23—48no—
1914C23C22×#4112yes—
1915C23C22×#4112yes—
1916C23C22×#4112yes—
1917C23C2×H(5,𝔽2)12yes—
1918C23C2×2−1+414yes—
1919C23#58512yes—
1920C23C2611yescharacteristic
1921Q8—48no—
1922Q8—84no—
1923Q8—82no—
1924Q8—82no—
1925Q8—84no—
1926Q8—82no—
1927D4—48no—
1928D4—48no—
1929D4—82no—
1930D4—84no—
1931C2×C4—28no—
1932C2×C4—22no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—22no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—21no—
1941C2×C4—22no—
1942C2×C4—21no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—21no—
1947C2×C4—21no—
1948C2×C4—28no—
1949C2×C4—28no—
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—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—44no—
2020C2×C4—44no—
2021C2×C4—44no—
2022C2×C4—44no—
2023C2×C4—48no—
2024C2×C4—48no—
2025C2×C4—48no—
2026C2×C4—48no—
2027C2×C4—48no—
2028C2×C4—44no—
2029C2×C4—44no—
2030C2×C4—48no—
2031C2×C4—44no—
2032C2×C4—48no—
2033C2×C4—48no—
2034C2×C4—84no—
2035C2×C4—84no—
2036C2×C4—84no—
2037C2×C4—84no—
2038C2×C4—84no—
2039C2×C4—84no—
2040C2×C4—84no—
2041C2×C4C22×#4112yes—
2042C2×C4C22×#4112yes—
2043C2×C4C22×#4112yes—
2044C2×C4C22×#4112yes—
2045C2×C4C2×H(5,𝔽2)14yes—
2046C2×C4C2×2−1+414yes—
2047C2×C4C2×2−1+414yes—
2048C2×C4#58514yes—
2049C22—24no—
2050C22—24no—
2051C22—22no—
2052C22—24no—
2053C22—24no—
2054C22—22no—
2055C22—22no—
2056C22—22no—
2057C22—22no—
2058C22—22no—
2059C22—22no—
2060C22—416no—
2061C22—42no—
2062C22—42no—
2063C22—42no—
2064C22—42no—
2065C22—42no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22#350514yes—
2071C22#350914yes—
2072C22C23×#4111yescharacteristic
2073C22C22×H(5,𝔽2)11yescharacteristic
2074C22C22×2−1+412yes—
2075C22C2×#58512yes—
2076C22C2×#58511yescharacteristic
2077C4—24no—
2078C4—24no—
2079C4—22no—
2080C4—22no—
2081C4—22no—
2082C4—22no—
2083C4—24no—
2084C4—24no—
2085C4—42no—
2086C4—42no—
2087C4—42no—
2088C4—42no—
2089C4—42no—
2090C4—42no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C4—42no—
2096C4—42no—
2097C4—42no—
2098C4—42no—
2099C4—42no—
2100C4—42no—
2101C4—42no—
2102C4—42no—
2103C4—42no—
2104C4—42no—
2105C4—42no—
2106C4—42no—
2107C4—42no—
2108C2—24no—
2109C2—24no—
2110C2—42no—
2111C2—82no—
2112C2C2×#350511yescharacteristic
2113C2C2×#350911yescharacteristic
2114C2#6281411yescharacteristic
2115C2#6301312yes—
2116C2#6302312yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59849C2semidirect
2. #59849C2semidirect
3. #59289C2semidirect
4. #59111C2semidirect
5. #48911C2semidirect
6. #48908C2semidirect
7. #48044C2semidirect
8. #48041C2semidirect
9. #44795C2semidirect
10. #44761C2semidirect
11. #44043C2semidirect
12. #43977C2semidirect
13. #43587C2semidirect
14. #43581C2semidirect
15. #43163C2semidirect
16. #43157C2semidirect
17. #39636C2semidirect
18. #38979C2semidirect
19. #38065C2semidirect
20. #38064C2semidirect
21. #36825C2semidirect
22. #36782C2semidirect
23. #36571C2semidirect
24. #36337C2semidirect
25. #36245C2semidirect
26. #36223C2semidirect
27. #35400C2semidirect
28. #35399C2semidirect
31. C2×#2583C2semidirect
32. #34739C2semidirect
33. #34359C2semidirect
35. C2×#2344C2semidirect
52. #2802C22semidirect
53. #2802C22semidirect
54. #2799C22semidirect
55. #2799C22semidirect
56. #2791C22semidirect
57. #2791C22semidirect
58. #2789C22semidirect
59. #2786C22semidirect
60. #2783C22semidirect
61. #2783C22semidirect
62. #2776C22semidirect
63. #2776C22semidirect
64. #2776C22semidirect
65. #2772C22semidirect
66. #2772C22semidirect
68. #2769C22semidirect
69. #2767C22semidirect
70. #2766C22semidirect
71. #2766C22semidirect
72. #2766C22semidirect
76. #2762C22semidirect
77. #2762C22semidirect
78. #2762C22semidirect
80. #2758C22semidirect
81. #2758C22semidirect
82. #2755C22semidirect
83. #2755C22semidirect
84. #2755C22semidirect
87. #2747C22semidirect
90. #2744C22semidirect
92. #2740C22semidirect
94. #2739C22semidirect
96. #2725C22semidirect
97. #2725C22semidirect
98. #2725C22semidirect
99. #2725C22semidirect
100. #2722C22semidirect
101. #2719C22semidirect
102. #2719C22semidirect
103. #2719C22semidirect
104. #2715C22semidirect
105. #2713C22semidirect
106. #2713C22semidirect
108. #2704C22semidirect
109. #2700C22semidirect
110. #2698C22semidirect
113. #2690C22semidirect
114. #2689C22semidirect
124. #2612C22semidirect
125. #2612C22semidirect
128. #2608C22semidirect
129. #2608C22semidirect
130. #2606C22semidirect
131. #2606C22semidirect
132. #2606C22semidirect
133. #2605C22semidirect
134. #2605C22semidirect
136. #2601C22semidirect
138. #2596C22semidirect
139. #2596C22semidirect
140. #2594C22semidirect
141. #2594C22semidirect
144. #2590C22semidirect
145. #2590C22semidirect
146. #2588C22semidirect
147. #2588C22semidirect
148. #2588C22semidirect
149. #2587C22semidirect
150. #2587C22semidirect
151. #2586C22semidirect
152. #2585C22semidirect
153. #2585C22semidirect
154. #2585C22semidirect
155. #2585C22semidirect
156. #2585C22semidirect
157. #2585C22semidirect
158. #2585C22semidirect
174. #2574C22semidirect
176. #2573C22semidirect
177. #2573C22semidirect
178. #2570C22semidirect
179. #2569C22semidirect
180. #2565C22semidirect
181. #2560C22semidirect
183. #2556C22semidirect
185. #2550C22semidirect
186. #2550C22semidirect
187. #2549C22semidirect
188. #2528C22semidirect
190. #2525C22semidirect
191. #2525C22semidirect
192. #2524C22semidirect
193. #2522C22semidirect
194. #2521C22semidirect
195. #2520C22semidirect
196. #2520C22semidirect
197. #2520C22semidirect
201. #2509C22semidirect
202. #2509C22semidirect
203. #2509C22semidirect
204. #2507C22semidirect
205. #2506C22semidirect
213. #2497C22semidirect
214. #2494C22semidirect
233. #2474C22semidirect
241. #2469C22semidirect
242. #2469C22semidirect
243. #2465C22semidirect
244. #2462C22semidirect
246. #2453C22semidirect
247. #2453C22semidirect
248. #2453C22semidirect
249. #2451C22semidirect
254. #2446C22semidirect
258. #2441C22semidirect
261. #2439C22semidirect
266. #2438C22semidirect
267. #2438C22semidirect
270. #2429C22semidirect
271. #2421C22semidirect
294. #2373C22semidirect
295. #2373C22semidirect
296. #2370C22semidirect
297. #2370C22semidirect
298. #2370C22semidirect
303. #2362C22semidirect
312. #2351C22semidirect
313. #2347C22semidirect

Maximal subgroups

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

subgroupindex
#598492
#592892
#591112
#489112
#489082
#480442
#480412
#447952
#447612
#440432
#439772
#435872
#435812
#431632
#431572
#396362
#389792
#380652
#380642
#368252
#367822
#365712
#363372
#362452
#362232
#354002
#353992
#353062
#350572
C2×#25832
#347392
#343592
#342282
C2×#23442