Finite Group Databasebeta

← #7660801

Subgroups — #7660801

Order 512.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1683 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3513C212yesmaximal, complemented
2#52169C211yesmaximal, characteristic, complemented
3#52103C212yesmaximal, complemented
4#42651C212yesmaximal, complemented
5#42474C212yesmaximal, complemented
6#42438C212yesmaximal, complemented
7#41985C214yesmaximal, complemented
8#40525C214yesmaximal, complemented
9#40496C214yesmaximal, complemented
10#39881C212yesmaximal, complemented
11#39486C211yesmaximal, characteristic, complemented
12#39483C212yesmaximal, complemented
13#39358C211yesmaximal, characteristic, complemented
14#38921C212yesmaximal, complemented
15#38912C214yesmaximal, complemented
16#38432C212yesmaximal, complemented
17#37654C214yesmaximal, complemented
18#37299C211yesmaximal, characteristic, complemented
19#37280C212yesmaximal, complemented
20#37131C212yesmaximal, complemented
21#36723C214yesmaximal, complemented
22#36472C211yesmaximal, characteristic, complemented
23#36441C212yesmaximal, complemented
24#36272C211yesmaximal, characteristic, complemented
25#36100C212yesmaximal, complemented
26#35778C212yesmaximal, complemented
27#35736C212yesmaximal, complemented
28#35693C212yesmaximal, complemented
29#34255C211yesmaximal, characteristic, complemented
30#3513—232no—
31C2×#559C2212yes—
32C2×#554C2212yescomplemented
33C2×#553C2214yescomplemented
34C2×#553C2212yescomplemented
35C2×#552C2212yescomplemented
36C2×#551C2214yescomplemented
37C2×#551C2214yescomplemented
38C2×#547C2212yes—
39C2×#546C2212yes—
40C2×#546C2214yescomplemented
41C2×#546C2212yescomplemented
42C2×D42C2212yes—
43C2×#542C2212yescomplemented
44C2×#540C2212yes—
45C2×#539C2214yescomplemented
46C2×#538C2214yescomplemented
47C2×#534C2212yes—
48C2×#529C2212yes—
49C2×#529C2212yescomplemented
50C2×#525C2214yescomplemented
51C2×#525C2214yescomplemented
52C22×#123C2214yescomplemented
53C2×#520C2212yescomplemented
54C2×#518C2211yescharacteristic
55C22×C4×D4C2212yescomplemented
56#2860C2212yescomplemented
57#2859C2212yescomplemented
58#2857C2212yescomplemented
59#2857C2211yescharacteristic, complemented
60#2856C2211yescharacteristic
61#2850C2212yescomplemented
62#2849C2214yescomplemented
63#2848C2214yescomplemented
64#2816C2214yescomplemented
65#2813C2214yescomplemented
66#2812C2214yescomplemented
67#2727C2212yescomplemented
68#2727C2214yescomplemented
69#2727C2212yescomplemented
70#2727C2211yescharacteristic, complemented
71#2726C2211yescharacteristic, complemented
72#2724C2212yescomplemented
73#2718C2214yescomplemented
74#2715C2212yescomplemented
75#2712C2214yescomplemented
76#2707C2212yescomplemented
77#2706C2214yescomplemented
78#2706C2214yescomplemented
79#2704C2214yescomplemented
80#2703C2214yescomplemented
81#2702C2212yescomplemented
82#2702C2214yescomplemented
83#2701C2214yescomplemented
84#2701C2214yescomplemented
85#2698C2214yescomplemented
86#2698C2214yescomplemented
87#2697C2214yescomplemented
88#2695C2212yescomplemented
89#2695C2214yescomplemented
90#2685C2214yescomplemented
91#2683C2212yescomplemented
92#2683C2211yescharacteristic, complemented
93#2683C2212yescomplemented
94#2682C2212yes—
95#2682C2212yescomplemented
96#2682C2214yescomplemented
97#2682C2211yescharacteristic, complemented
98#2681C2214yescomplemented
99#2681C2214yescomplemented
100#2681C2214yescomplemented
101#2680C2214yescomplemented
102#2680C2214yescomplemented
103#2680C2214yescomplemented
104#2680C2214yescomplemented
105#2679C2212yes—
106#2678C2214yes—
107#2678C2214yescomplemented
108#2678C2214yescomplemented
109#2678C2214yescomplemented
110#2676C2212yescomplemented
111#2672C2214yescomplemented
112#2672C2214yescomplemented
113#2672C2214yescomplemented
114#2671C2212yes—
115#2671C2214yescomplemented
116#2669C2214yescomplemented
117#2664C2214yescomplemented
118#2663C2214yescomplemented
119#2638C2214yescomplemented
120#2635C2214yescomplemented
121#2630C2214yescomplemented
122#2628C2212yescomplemented
123#2625C2214yescomplemented
124#2623C2214yescomplemented
125#2622C2214yescomplemented
126#2620C2212yescomplemented
127#2620C2212yescomplemented
128#2619C2214yescomplemented
129#2617C2212yes—
130#2617C2214yescomplemented
131#2617C2212yescomplemented
132#2613C2214yescomplemented
133#2611C2214yescomplemented
134#2603C2214yescomplemented
135#2602C2214yescomplemented
136#2601C2214yescomplemented
137#2600C2214yescomplemented
138#2583C2214yescomplemented
139#2582C2212yescomplemented
140#2580C2212yescomplemented
141#2579C2214yescomplemented
142#2567C2212yescomplemented
143#2566C2214yescomplemented
144#2559C2214yescomplemented
145#2553C2214yescomplemented
146#2553C2214yescomplemented
147#2552C2211yescharacteristic, complemented
148#2552C2212yescomplemented
149#2552C2211yescharacteristic, complemented
150#2545C2212yescomplemented
151#2544C2212yescomplemented
152#2542C2212yescomplemented
153#2542C2211yescharacteristic, complemented
154#2541C2211yescharacteristic, complemented
155#2540C2212yescomplemented
156#2537C2212yescomplemented
157#2536C2212yescomplemented
158#2501C2214yescomplemented
159#2500C2214yescomplemented
160#2496C2212yescomplemented
161#2490C2212yescomplemented
162#2490C2212yescomplemented
163#2489C2212yescomplemented
164#2489C2212yescomplemented
165#2486C2214yescomplemented
166#2482C2214yescomplemented
167#2474C2214yescomplemented
168#2472C2214yescomplemented
169#2470C2214yescomplemented
170#2470C2214yescomplemented
171#2470C2214yescomplemented
172#2464C2214yescomplemented
173#2464C2214yescomplemented
174#2459C2214yescomplemented
175#2459C2214yescomplemented
176#2455C2214yescomplemented
177#2455C2214yescomplemented
178#2455C2214yescomplemented
179#2455C2214yescomplemented
180#2455C2214yescomplemented
181#2455C2214yescomplemented
182#2447C2212yescomplemented
183#2447C2212yescomplemented
184#2445C2212yes—
185#2445C2212yes—
186#2435C2212yescomplemented
187#2433C2212yes—
188#2432C2212yescomplemented
189#2431C2212yes—
190#2428C2212yescomplemented
191#2422C2212yes—
192#2422C2212yes—
193#2422C2212yes—
194#2422C2212yescomplemented
195#2422C2214yescomplemented
196#2422C2212yescomplemented
197#2422C2212yescomplemented
198#2418C2214yescomplemented
199#2418C2214yescomplemented
200#2418C2214yescomplemented
201#2417C2212yescomplemented
202#2416C2212yes—
203#2415C2214yescomplemented
204#2415C2214yescomplemented
205#2415C2212yescomplemented
206#2414C2212yescomplemented
207#2413C2214yescomplemented
208#2412C2214yescomplemented
209#2411C2214yescomplemented
210#2410C2214yes—
211#2408C2212yes—
212#2408C2212yescomplemented
213#2407C2212yes—
214#2407C2214yescomplemented
215#2407C2212yescomplemented
216#2406C2214yescomplemented
217#2405C2214yescomplemented
218#2396C2212yescomplemented
219#2392C2214yescomplemented
220#2392C2214yescomplemented
221#2392C2212yescomplemented
222#2392C2212yescomplemented
223#2388C2214yescomplemented
224#2367C2212yescomplemented
225#2366C2211yescharacteristic, complemented
226#2365C2211yescharacteristic, complemented
227#2361C2212yescomplemented
228#2361C2212yescomplemented
229#2360C2212yescomplemented
230#2360C2212yescomplemented
231#2357C2212yescomplemented
232#2357C2212yescomplemented
233#2354C2212yescomplemented
234#2354C2212yescomplemented
235D4×C4⋊C4C2211yescharacteristic, complemented
236D4×C4⋊C4C2212yescomplemented
237D4×C4⋊C4C2211yescharacteristic, complemented
238#2342C2214yescomplemented
239#2342C2214yescomplemented
240#2321C2214yescomplemented
241#2319C2212yescomplemented
242#2319C2212yescomplemented
243#2317C2214yescomplemented
244#2317C2211yescharacteristic, complemented
245#2315C2212yescomplemented
246#2309C2211yescharacteristic
247C4×#127C2212yescomplemented
248C4×C22⋊Q8C2212yescomplemented
249C4×#121C2211yescharacteristic
250C4×#121C2212yescomplemented
251C4×#121C2211yescharacteristic, complemented
252C4×#120C2214yescomplemented
253#2296C2211yescharacteristic, complemented
254#2293C2212yescomplemented
255#2293C2212yescomplemented
256#2293C2212yescomplemented
257C2×#390C2211yescharacteristic
258#2274C2211yescharacteristic, complemented
259C4×#117C2211yescharacteristic, complemented
260C22×#41C2312yes—
261C22×#41C2314yes—
262C23×D4C2312yes—
263C23×D4C2314yes—
264C23×D4C2311yescharacteristic
265C24×C4C2314yes—
266#559—216no—
267#554—216no—
268#553—232no—
269#553—216no—
270#552—216no—
271#551—232no—
272#551—232no—
273#547—216no—
274#546—216no—
275#546—216no—
276#546—232no—
277D42—216no—
278#542—216no—
279#540—216no—
280#539—232no—
281#538—232no—
282#534—48no—
283C2×C4⋊Q8C2312yes—
284C2×C4⋊Q8C2311yescharacteristic
285C2×#127C2312yes—
286C2×#127C2312yes—
287C2×#127C2311yescharacteristic
288#529—216no—
289#529—216no—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#126C2312yes—
293C2×#126C2312yes—
294C2×#126C2314yes—
295C2×#126C2314yes—
296C2×#125C2314yes—
297C2×#125C2312yes—
298C2×#125C2312yes—
299C2×#125C2312yes—
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#124C2312yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2312yes—
306#525—232no—
307#525—416no—
308C2×#123—232no—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2312yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371#520—216no—
372#518D4116yescomplemented
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×D4—216no—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×#117C2314yes—
405C2×#117C2314yes—
406C2×#117C2312yes—
407C2×#117C2314yes—
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C2×#117C2314yes—
411C2×#117C2314yes—
412C2×#117C2311yescharacteristic
413C2×#117C2311yescharacteristic
414C22×C4⋊C4C2314yes—
415C22×C4⋊C4C2314yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2311yescharacteristic
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2314yes—
421C22×C22⋊C4C2314yes—
422C22×C22⋊C4C2312yes—
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2314yes—
425C22×C42C2312yes—
426C22×C42C2311yescharacteristic
427#400C2314yes—
428#400C2312yes—
429#400C2314yes—
430#400C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2312yes—
436#399C2314yes—
437#399C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#396C2312yes—
477#396C2314yes—
478#396C2312yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2312yes—
519#393C2312yes—
520#393C2314yes—
521#393C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2312yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2312yes—
534#392C2314yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2314yes—
540#391C2314yes—
541#391C2312yes—
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2311yescharacteristic
566#390C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2312yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2312yes—
675#384C2312yes—
676#384C2314yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2312yes—
683#382C2314yes—
684#382C2312yes—
685#382C2314yes—
686#381C2314yes—
687#381C2314yes—
688#381C2314yes—
689#381C2314yes—
690#380C2311yescharacteristic
691#380C2312yes—
692#380C2314yes—
693#380C2314yes—
694#380C2314yes—
695#380C2312yes—
696#380C2314yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2311yescharacteristic
704#380C2312yes—
705#379C2314yes—
706#379C2314yes—
707#379C2314yes—
708#379C2314yes—
709#379C2314yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2314yes—
736#376C2312yes—
737C43C2312yes—
738C25C2414yes—
739C25C2412yes—
740C2×#41—28no—
741C2×#41—216no—
742C2×#41—48no—
743C2×#41—44no—
744C2×#41—44no—
745C2×#41—84no—
746C22×Q8C2412yes—
747C22×Q8C2412yes—
748C22×Q8C2414yes—
749C22×D4—216no—
750C22×D4—28no—
751C22×D4—42no—
752C22×D4—42no—
753C22×D4—44no—
754C22×D4—44no—
755C22×D4—48no—
756C22×D4—84no—
757C22×D4C2×D418yes—
758C22×D4C2412yes—
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2411yescharacteristic
779C23×C4—216no—
780C23×C4—48no—
781C23×C4—84no—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2414yes—
785C23×C4C2412yes—
786C23×C4C2411yescharacteristic
787C23×C4C2414yes—
788C23×C4C2412yes—
789C23×C4C2411yescharacteristic
790C23×C4C2411yescharacteristic
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2412yes—
797C23×C4C2414yes—
798C23×C4C2414yes—
799C4⋊Q8—28no—
800C4⋊Q8—42no—
801#127—28no—
802#127—42no—
803#127—44no—
804#126—28no—
805#126—216no—
806#126—216no—
807#126—28no—
808#126—216no—
809#126—216no—
810#125—28no—
811#125—28no—
812#125—28no—
813#125—216no—
814#124—28no—
815#124—28no—
816#124—216no—
817#124—216no—
818#124—28no—
819#124—44no—
820#123—216no—
821#123—216no—
822#123—216no—
823#123—28no—
824#123—28no—
825#123—216no—
826#123—216no—
827#123—216no—
828#123—216no—
829#123—216no—
830#123—216no—
831#123—216no—
832#123—216no—
833#123—216no—
834#123—48no—
835#123—48no—
836#123—48no—
837#123—48no—
838#123—84no—
839#123—84no—
840C22⋊Q8—216no—
841C22⋊Q8—216no—
842C22⋊Q8—28no—
843C22⋊Q8—216no—
844C22⋊Q8—28no—
845C22⋊Q8—28no—
846C22⋊Q8—216no—
847C22⋊Q8—216no—
848C22⋊Q8—48no—
849C22⋊Q8—44no—
850C22⋊Q8—48no—
851C22⋊Q8—44no—
852C22⋊Q8—44no—
853C22⋊Q8—84no—
854#121—216no—
855#121—28no—
856#121—216no—
857#121—28no—
858#121—28no—
859#121—24no—
860#121—216no—
861#121—216no—
862#121—28no—
863#121—28no—
864#121—216no—
865#121—28no—
866#121—216no—
867#121—44no—
868#121—48no—
869#121—48no—
870#121—44no—
871#121—44no—
872#121—42no—
873#121—82no—
874#120—216no—
875#120—216no—
876#120—216no—
877#120—216no—
878#120—216no—
879#120—48no—
880#120—48no—
881#120—48no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—28no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—216no—
889C4×D4—216no—
890C4×D4—216no—
891C4×D4—28no—
892C4×D4—216no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—216no—
896C4×D4—216no—
897C4×D4—28no—
898C4×D4—216no—
899C4×D4—28no—
900C4×D4—48no—
901C4×D4—42no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—48no—
905C4×D4—48no—
906C4×D4—82no—
907C4×D4—82no—
908C4×D4C2×D4116yes—
909C4×D4C2×D4116yes—
910C4×D4C2×D4116yes—
911C4×D4C2×D4116yes—
912#117—216no—
913#117—216no—
914#117—28no—
915#117—216no—
916#117—42no—
917#117—48no—
918#117—48no—
919#117—42no—
920#117C2×D418yes—
921#117C2×D418yes—
922C2×C4⋊C4—216no—
923C2×C4⋊C4—216no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4—28no—
926C2×C4⋊C4—42no—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C22⋊C4—216no—
988C2×C22⋊C4—216no—
989C2×C22⋊C4—216no—
990C2×C22⋊C4—44no—
991C2×C22⋊C4—44no—
992C2×C22⋊C4C2×D4132yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C42—28no—
1060C2×C42—42no—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121C24—28no—
1122C24—28no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24—42no—
1127C24—42no—
1128C24—42no—
1129C24—42no—
1130C24—42no—
1131C24—42no—
1132C24—44no—
1133C24—44no—
1134C24C22×D418yes—
1135C24C2514yes—
1136C24C2512yes—
1137C24C2514yes—
1138C24C2511yescharacteristic
1139C24C2512yes—
1140#41—432no—
1141#41—832no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—28no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—44no—
1148C2×Q8—42no—
1149C2×Q8—44no—
1150C2×Q8—42no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—28no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—28no—
1163C2×D4—28no—
1164C2×D4—28no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—28no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—22no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—416no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—42no—
1178C2×D4—41no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—41no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—42no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—432no—
1213C2×D4—832no—
1214C2×D4C22×D418yes—
1215C2×D4C22×D418yes—
1216C2×D4H(5,𝔽2)14yes—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—28no—
1220C22×C4—28no—
1221C22×C4—24no—
1222C22×C4—28no—
1223C22×C4—28no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—28no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—28no—
1234C22×C4—28no—
1235C22×C4—28no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—832no—
1266C22×C4C22×D414yes—
1267C22×C4C22×D4116yes—
1268C22×C4C22×D4116yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2514yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—42no—
1323C4⋊C4—41no—
1324C4⋊C4—42no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—41no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4C22×D414yes—
1350C4⋊C4C22×D414yes—
1351C4⋊C4C22×D414yes—
1352C4⋊C4C22×D414yes—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4C22×D4116yes—
1416C22⋊C4C22×D418yes—
1417C22⋊C4C22×D418yes—
1418C22⋊C4C22×D4116yes—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—28no—
1423C42—28no—
1424C42—24no—
1425C42—24no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—24no—
1430C42—41no—
1431C42—41no—
1432C42—42no—
1433C42—44no—
1434C42—42no—
1435C42—44no—
1436C42—42no—
1437C42C22×D418yes—
1438C42C22×D418yes—
1439C23—22no—
1440C23—24no—
1441C23—21no—
1442C23—24no—
1443C23—22no—
1444C23—21no—
1445C23—21no—
1446C23—22no—
1447C23—22no—
1448C23—21no—
1449C23—24no—
1450C23—24no—
1451C23—24no—
1452C23—22no—
1453C23—21no—
1454C23—24no—
1455C23—21no—
1456C23—22no—
1457C23—24no—
1458C23—22no—
1459C23—22no—
1460C23—24no—
1461C23—22no—
1462C23—22no—
1463C23—24no—
1464C23—24no—
1465C23—22no—
1466C23—24no—
1467C23—22no—
1468C23—24no—
1469C23—22no—
1470C23—24no—
1471C23—48no—
1472C23—48no—
1473C23—48no—
1474C23—416no—
1475C23—416no—
1476C23—88no—
1477C23—88no—
1478C23—88no—
1479C23—88no—
1480C23—88no—
1481C23—162no—
1482C23—162no—
1483C23—162no—
1484C23—162no—
1485C23C23×D412yes—
1486C23C23×D418yes—
1487C23C2×H(5,𝔽2)14yes—
1488C23C2611yescharacteristic
1489Q8—48no—
1490Q8—84no—
1491Q8—88no—
1492D4—216no—
1493D4—48no—
1494D4—44no—
1495D4—48no—
1496D4—44no—
1497D4—48no—
1498D4—416no—
1499D4—48no—
1500D4—416no—
1501D4—416no—
1502D4—48no—
1503D4—88no—
1504D4—84no—
1505D4—84no—
1506D4—88no—
1507D4—88no—
1508D4—88no—
1509D4—88no—
1510D4—88no—
1511D4—88no—
1512D4—162no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—28no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—416no—
1577C2×C4—416no—
1578C2×C4—48no—
1579C2×C4—416no—
1580C2×C4—416no—
1581C2×C4—48no—
1582C2×C4—48no—
1583C2×C4—84no—
1584C2×C4—82no—
1585C2×C4—82no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4—88no—
1589C2×C4—88no—
1590C2×C4—88no—
1591C2×C4—162no—
1592C2×C4C23×D414yes—
1593C2×C4C23×D414yes—
1594C2×C4C23×D414yes—
1595C2×C4C23×D412yes—
1596C2×C4C23×D414yes—
1597C2×C4C23×D412yes—
1598C2×C4C2×H(5,𝔽2)12yes—
1599C2×C4#58512yes—
1600C2×C4#58512yes—
1601C2×C4#58512yes—
1602C22—24no—
1603C22—28no—
1604C22—22no—
1605C22—28no—
1606C22—22no—
1607C22—24no—
1608C22—24no—
1609C22—22no—
1610C22—28no—
1611C22—42no—
1612C22—41no—
1613C22—44no—
1614C22—42no—
1615C22—44no—
1616C22—41no—
1617C22—41no—
1618C22—44no—
1619C22—41no—
1620C22—42no—
1621C22—44no—
1622C22—42no—
1623C22—42no—
1624C22—44no—
1625C22—42no—
1626C22—44no—
1627C22—42no—
1628C22—44no—
1629C22—42no—
1630C22—44no—
1631C22—42no—
1632C22—44no—
1633C22—42no—
1634C22—44no—
1635C22—42no—
1636C22—44no—
1637C22—832no—
1638C22—168no—
1639C22C24×D411yescharacteristic
1640C22C22×H(5,𝔽2)11yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22H(7,𝔽2)11yescharacteristic
1645C222−1+611yescharacteristic
1646C4—24no—
1647C4—24no—
1648C4—24no—
1649C4—24no—
1650C4—22no—
1651C4—22no—
1652C4—22no—
1653C4—42no—
1654C4—44no—
1655C4—42no—
1656C4—44no—
1657C4—42no—
1658C4—42no—
1659C4—44no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—42no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—44no—
1669C4#344914yes—
1670C2—44no—
1671C2—48no—
1672C2—42no—
1673C2—82no—
1674C2—84no—
1675C2C2×#344911yescharacteristic
1676C2#6290111yescharacteristic
1677C2#6293511yescharacteristic
1678C2D4×H(5,𝔽2)11yescharacteristic
1679C2#6298811yescharacteristic
1680C2#6302111yescharacteristic
1681C2#6305611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3513C2semidirect
2. #52169C2semidirect
3. #52103C2semidirect
4. #42651C2semidirect
5. #42474C2semidirect
6. #42438C2semidirect
7. #41985C2semidirect
8. #40525C2semidirect
9. #40496C2semidirect
10. #39881C2semidirect
11. #39486C2semidirect
12. #39483C2semidirect
13. #39358C2semidirect
14. #38921C2semidirect
15. #38912C2semidirect
16. #38432C2semidirect
17. #37654C2semidirect
18. #37299C2semidirect
19. #37280C2semidirect
20. #37131C2semidirect
21. #36723C2semidirect
22. #36472C2semidirect
23. #36441C2semidirect
24. #36272C2semidirect
25. #36100C2semidirect
26. #35778C2semidirect
27. #35736C2semidirect
28. #35693C2semidirect
29. #34255C2semidirect
32. C2×#554C22semidirect
33. C2×#553C22semidirect
34. C2×#553C22semidirect
35. C2×#552C22semidirect
36. C2×#551C22semidirect
37. C2×#551C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
43. C2×#542C22semidirect
45. C2×#539C22semidirect
46. C2×#538C22semidirect
49. C2×#529C22semidirect
50. C2×#525C22semidirect
51. C2×#525C22semidirect
52. C22×#123C22semidirect
53. C2×#520C22semidirect
55. C22×C4×D4C22semidirect
56. #2860C22semidirect
57. #2859C22semidirect
58. #2857C22semidirect
59. #2857C22semidirect
61. #2850C22semidirect
62. #2849C22semidirect
63. #2848C22semidirect
64. #2816C22semidirect
65. #2813C22semidirect
66. #2812C22semidirect
67. #2727C22semidirect
68. #2727C22semidirect
69. #2727C22semidirect
70. #2727C22semidirect
71. #2726C22semidirect
72. #2724C22semidirect
73. #2718C22semidirect
74. #2715C22semidirect
75. #2712C22semidirect
76. #2707C22semidirect
77. #2706C22semidirect
78. #2706C22semidirect
79. #2704C22semidirect
80. #2703C22semidirect
81. #2702C22semidirect
82. #2702C22semidirect
83. #2701C22semidirect
84. #2701C22semidirect
85. #2698C22semidirect
86. #2698C22semidirect
87. #2697C22semidirect
88. #2695C22semidirect
89. #2695C22semidirect
90. #2685C22semidirect
91. #2683C22semidirect
92. #2683C22semidirect
93. #2683C22semidirect
95. #2682C22semidirect
96. #2682C22semidirect
97. #2682C22semidirect
98. #2681C22semidirect
99. #2681C22semidirect
100. #2681C22semidirect
101. #2680C22semidirect
102. #2680C22semidirect
103. #2680C22semidirect
104. #2680C22semidirect
107. #2678C22semidirect
108. #2678C22semidirect
109. #2678C22semidirect
110. #2676C22semidirect
111. #2672C22semidirect
112. #2672C22semidirect
113. #2672C22semidirect
115. #2671C22semidirect
116. #2669C22semidirect
117. #2664C22semidirect
118. #2663C22semidirect
119. #2638C22semidirect
120. #2635C22semidirect
121. #2630C22semidirect
122. #2628C22semidirect
123. #2625C22semidirect
124. #2623C22semidirect
125. #2622C22semidirect
126. #2620C22semidirect
127. #2620C22semidirect
128. #2619C22semidirect
130. #2617C22semidirect
131. #2617C22semidirect
132. #2613C22semidirect
133. #2611C22semidirect
134. #2603C22semidirect
135. #2602C22semidirect
136. #2601C22semidirect
137. #2600C22semidirect
138. #2583C22semidirect
139. #2582C22semidirect
140. #2580C22semidirect
141. #2579C22semidirect
142. #2567C22semidirect
143. #2566C22semidirect
144. #2559C22semidirect
145. #2553C22semidirect
146. #2553C22semidirect
147. #2552C22semidirect
148. #2552C22semidirect
149. #2552C22semidirect
150. #2545C22semidirect
151. #2544C22semidirect
152. #2542C22semidirect
153. #2542C22semidirect
154. #2541C22semidirect
155. #2540C22semidirect
156. #2537C22semidirect
157. #2536C22semidirect
158. #2501C22semidirect
159. #2500C22semidirect
160. #2496C22semidirect
161. #2490C22semidirect
162. #2490C22semidirect
163. #2489C22semidirect
164. #2489C22semidirect
165. #2486C22semidirect
166. #2482C22semidirect
167. #2474C22semidirect
168. #2472C22semidirect
169. #2470C22semidirect
170. #2470C22semidirect
171. #2470C22semidirect
172. #2464C22semidirect
173. #2464C22semidirect
174. #2459C22semidirect
175. #2459C22semidirect
176. #2455C22semidirect
177. #2455C22semidirect
178. #2455C22semidirect
179. #2455C22semidirect
180. #2455C22semidirect
181. #2455C22semidirect
182. #2447C22semidirect
183. #2447C22semidirect
186. #2435C22semidirect
188. #2432C22semidirect
190. #2428C22semidirect
194. #2422C22semidirect
195. #2422C22semidirect
196. #2422C22semidirect
197. #2422C22semidirect
198. #2418C22semidirect
199. #2418C22semidirect
200. #2418C22semidirect
201. #2417C22semidirect
203. #2415C22semidirect
204. #2415C22semidirect
205. #2415C22semidirect
206. #2414C22semidirect
207. #2413C22semidirect
208. #2412C22semidirect
209. #2411C22semidirect
212. #2408C22semidirect
214. #2407C22semidirect
215. #2407C22semidirect
216. #2406C22semidirect
217. #2405C22semidirect
218. #2396C22semidirect
219. #2392C22semidirect
220. #2392C22semidirect
221. #2392C22semidirect
222. #2392C22semidirect
223. #2388C22semidirect
224. #2367C22semidirect
225. #2366C22semidirect
226. #2365C22semidirect
227. #2361C22semidirect
228. #2361C22semidirect
229. #2360C22semidirect
230. #2360C22semidirect
231. #2357C22semidirect
232. #2357C22semidirect
233. #2354C22semidirect
234. #2354C22semidirect
235. D4×C4⋊C4C22semidirect
236. D4×C4⋊C4C22semidirect
237. D4×C4⋊C4C22semidirect
238. #2342C22semidirect
239. #2342C22semidirect
240. #2321C22semidirect
241. #2319C22semidirect
242. #2319C22semidirect
243. #2317C22semidirect
244. #2317C22semidirect
245. #2315C22semidirect
247. C4×#127C22semidirect
248. C4×C22⋊Q8C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C4×#120C22semidirect
253. #2296C22semidirect
254. #2293C22semidirect
255. #2293C22semidirect
256. #2293C22semidirect
258. #2274C22semidirect
259. C4×#117C22semidirect
372. #518D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35132
#521692
#521032
#426512
#424742
#424382
#419852
#405252
#404962
#398812
#394862
#394832
#393582
#389212
#389122
#384322
#376542
#372992
#372802
#371312
#367232
#364722
#364412
#362722
#361002
#357782
#357362
#356932
#342552