Finite Group Databasebeta

← #8429571

Subgroups — #8429571

Order 512.

5513 conjugacy classes of subgroups.

The subgroup lattice has 1587 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59952C211yesmaximal, characteristic, complemented
2#59814C212yesmaximal, complemented
3#59808C212yesmaximal, complemented
4#59412C212yesmaximal, complemented
5#58802C212yesmaximal, complemented
6#56317C212yesmaximal, complemented
7#53907C214yesmaximal, complemented
8#53101C212yesmaximal, complemented
9#53099C211yesmaximal, characteristic, complemented
10#52986C211yesmaximal, characteristic, complemented
11#52748C214yesmaximal, complemented
12#52696C214yesmaximal, complemented
13#42482C211yesmaximal, characteristic, complemented
14#42479C211yesmaximal, characteristic, complemented
15#42475C212yesmaximal, complemented
16#41989C214yesmaximal, complemented
17#41415C214yesmaximal, complemented
18#39110C214yesmaximal, complemented
19#39066C212yesmaximal, complemented
20#39046C212yesmaximal, complemented
21#39030C212yesmaximal, complemented
22#39002C212yesmaximal, complemented
23#37591C212yesmaximal, complemented
24#37517C212yesmaximal, complemented
25#37493C212yesmaximal, complemented
26#36289C211yesmaximal, characteristic, complemented
27#36264C212yesmaximal, complemented
28#34970C212yesmaximal, complemented
29#34874C211yesmaximal, characteristic, complemented
30C2×#554C2211yescharacteristic, complemented
31C2×#551C2214yescomplemented
32C2×#550C2211yescharacteristic
33C2×#547C2211yescharacteristic
34C2×#546C2214yescomplemented
35C2×#546C2214yescomplemented
36C2×D42C2211yescharacteristic
37C2×D42C2212yescomplemented
38#2860C2212yescomplemented
39#2858C2211yescharacteristic
40#2854C2212yescomplemented
41#2850C2212yescomplemented
42#2830C2214yescomplemented
43#2830C2214yescomplemented
44#2830C2212yescomplemented
45#2829C2214yescomplemented
46#2829C2214yescomplemented
47#2829C2214yescomplemented
48#2828C2212yescomplemented
49#2828C2214yescomplemented
50#2828C2212yescomplemented
51#2823C2212yescomplemented
52#2817C2212yescomplemented
53#2816C2214yescomplemented
54#2816C2212yescomplemented
55#2814C2214yescomplemented
56#2814C2214yescomplemented
57#2812C2214yescomplemented
58#2812C2214yescomplemented
59#2785C2212yescomplemented
60#2779C2214yescomplemented
61#2779C2214yescomplemented
62#2768C2214yescomplemented
63#2761C2214yescomplemented
64#2761C2214yescomplemented
65#2761C2214yescomplemented
66#2752C2214yescomplemented
67#2735C2214yescomplemented
68#2733C2212yescomplemented
69#2715C2214yescomplemented
70#2706C2214yescomplemented
71#2705C2214yescomplemented
72#2705C2214yescomplemented
73#2703C2214yescomplemented
74#2699C2214yescomplemented
75#2698C2214yescomplemented
76#2697C2214yescomplemented
77#2697C2214yescomplemented
78#2687C2214yescomplemented
79#2685C2214yescomplemented
80#2685C2214yescomplemented
81#2685C2214yescomplemented
82#2683C2212yescomplemented
83#2682C2214yescomplemented
84#2681C2214yescomplemented
85#2681C2214yescomplemented
86#2681C2214yescomplemented
87#2680C2212yescomplemented
88#2680C2214yescomplemented
89#2679C2212yescomplemented
90#2679C2214yescomplemented
91#2679C2212yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2672C2214yescomplemented
98#2670C2214yescomplemented
99#2662C2214yescomplemented
100#2661C2214yescomplemented
101#2660C2211yescharacteristic, complemented
102#2651C2214yescomplemented
103#2651C2214yescomplemented
104#2648C2214yescomplemented
105#2648C2214yescomplemented
106#2644C2212yescomplemented
107#2641C2211yescharacteristic, complemented
108#2641C2212yescomplemented
109#2638C2214yescomplemented
110#2630C2214yescomplemented
111#2629C2212yescomplemented
112#2627C2212yescomplemented
113#2624C2212yescomplemented
114#2622C2214yescomplemented
115#2619C2212yes—
116#2618C2212yescomplemented
117#2617C2214yescomplemented
118#2616C2212yescomplemented
119#2616C2212yescomplemented
120#2613C2214yescomplemented
121#2613C2214yescomplemented
122#2612C2211yescharacteristic, complemented
123#2610C2214yescomplemented
124#2610C2214yescomplemented
125#2610C2212yescomplemented
126#2609C2211yescharacteristic, complemented
127#2603C2214yescomplemented
128#2603C2214yescomplemented
129#2602C2214yescomplemented
130#2593C2211yescharacteristic, complemented
131#2584C2211yescharacteristic, complemented
132#2574C2212yescomplemented
133#2567C2211yescharacteristic, complemented
134#2563C2211yescharacteristic, complemented
135#2562C2211yescharacteristic, complemented
136#2555C2211yescharacteristic
137#2555C2212yescomplemented
138#2554C2214yescomplemented
139#2548C2211yescharacteristic
140#2548C2211yescharacteristic, complemented
141#2538C2212yescomplemented
142#2537C2212yescomplemented
143#2535C2214yescomplemented
144#2534C2214yescomplemented
145#2534C2214yescomplemented
146#2534C2214yescomplemented
147#2531C2214yescomplemented
148#2531C2214yescomplemented
149#2531C2212yescomplemented
150#2529C2212yescomplemented
151#2529C2214yescomplemented
152#2526C2214yescomplemented
153#2513C2212yescomplemented
154#2512C2212yescomplemented
155#2512C2212yescomplemented
156#2507C2212yescomplemented
157#2504C2212yescomplemented
158#2500C2214yescomplemented
159#2497C2212yescomplemented
160#2491C2212yescomplemented
161#2490C2212yescomplemented
162#2490C2212yescomplemented
163#2490C2212yescomplemented
164#2490C2212yescomplemented
165#2486C2212yescomplemented
166#2485C2212yescomplemented
167#2480C2214yescomplemented
168#2476C2212yescomplemented
169#2476C2214yescomplemented
170#2474C2212yescomplemented
171#2472C2214yescomplemented
172#2472C2214yescomplemented
173#2472C2214yescomplemented
174#2472C2214yescomplemented
175#2471C2214yescomplemented
176#2468C2214yescomplemented
177#2467C2214yescomplemented
178#2467C2214yescomplemented
179#2464C2214yescomplemented
180#2461C2214yescomplemented
181#2461C2214yescomplemented
182#2461C2214yescomplemented
183#2454C2212yescomplemented
184#2454C2212yescomplemented
185#2452C2212yescomplemented
186#2452C2212yescomplemented
187#2445C2212yes—
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2445C2212yescomplemented
191#2442C2212yescomplemented
192#2441C2212yescomplemented
193#2440C2212yescomplemented
194#2435C2212yescomplemented
195#2433C2212yes—
196#2433C2212yes—
197#2433C2212yescomplemented
198#2428C2212yes—
199#2428C2212yescomplemented
200#2424C2214yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2424C2214yescomplemented
204#2422C2212yescomplemented
205#2422C2212yescomplemented
206#2420C2212yescomplemented
207#2420C2212yescomplemented
208#2418C2214yescomplemented
209#2418C2214yescomplemented
210#2416C2212yescomplemented
211#2414C2212yes—
212#2414C2212yescomplemented
213#2411C2214yescomplemented
214#2408C2212yes—
215#2408C2214yescomplemented
216#2408C2212yescomplemented
217#2408C2212yescomplemented
218#2407C2214yescomplemented
219#2406C2212yescomplemented
220#2406C2212yescomplemented
221#2405C2214yescomplemented
222#2404C2214yescomplemented
223#2403C2214yescomplemented
224#2399C2211yescharacteristic, complemented
225#2398C2211yescharacteristic, complemented
226#2395C2214yescomplemented
227#2392C2214yescomplemented
228#2392C2212yescomplemented
229#2372C2212yescomplemented
230#2363C2212yescomplemented
231#2361C2212yescomplemented
232#2358C2214yescomplemented
233#2346C2212yescomplemented
234D4×C22⋊C4C2212yescomplemented
235D4×C22⋊C4C2212yescomplemented
236D4×C22⋊C4C2212yescomplemented
237#2319C2214yescomplemented
238#2319C2211yescharacteristic, complemented
239#2319C2211yescharacteristic, complemented
240#2312C2214yescomplemented
241#2309C2212yescomplemented
242C4×#127C2212yescomplemented
243C4×#127C2212yescomplemented
244C4×#125C2212yescomplemented
245C4×#124C2212yescomplemented
246C4×#124C2211yescharacteristic, complemented
247C4×#123C2214yescomplemented
248C4×#121C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2214yescomplemented
252#2298C2212yescomplemented
253#2293C2212yescomplemented
254C2×#390C2212yescomplemented
255C2×#390C2212yescomplemented
256#2290C2212yescomplemented
257C42×D4C2211yescharacteristic, complemented
258C4×#117C2212yescomplemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C23×D4C2312yes—
262C23×D4C2312yes—
263C23×D4C2314yes—
264C23×D4C2312yes—
265#554—44no—
266#551—416no—
267#550—44no—
268#547—44no—
269#546—416no—
270#546—416no—
271D42—44no—
272D42—48no—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275C2×#127C2312yes—
276C2×#127C2312yes—
277C2×#127C2311yescharacteristic
278C2×#127C2311yescharacteristic
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#125C2312yes—
283C2×#125C2311yescharacteristic
284C2×#125C2311yescharacteristic
285C2×#124C2312yes—
286C2×#124C2314yes—
287C2×#124C2311yescharacteristic
288C2×#124C2314yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#120C2314yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327C2×#120C2314yes—
328C2×#120C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2314yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2314yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C22⋊C4C2314yes—
363C22×C22⋊C4C2314yes—
364C22×C22⋊C4C2314yes—
365C22×C22⋊C4C2314yes—
366C22×C22⋊C4C2314yes—
367C22×C42C2312yes—
368C22×C42C2312yes—
369#400C2311yescharacteristic
370#400C2312yes—
371#400C2314yes—
372#400C2311yescharacteristic
373#400C2314yes—
374#399C2314yes—
375#399C2314yes—
376#399C2314yes—
377#399C2314yes—
378#398C2311yescharacteristic
379#398C2314yes—
380#398C2312yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2312yes—
386#398C2311yescharacteristic
387#398C2314yes—
388#398C2314yes—
389#398C2312yes—
390#398C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2312yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2312yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2312yes—
419#396C2314yes—
420#396C2314yes—
421#396C2312yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#395C2312yes—
428#395C2312yes—
429#395C2314yes—
430#395C2312yes—
431#395C2312yes—
432#395C2312yes—
433#395C2311yescharacteristic
434#395C2311yescharacteristic
435#395C2312yes—
436#394C2312yes—
437#394C2312yes—
438#394C2314yes—
439#394C2314yes—
440#394C2312yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2312yes—
447#394C2314yes—
448#394C2312yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2311yescharacteristic
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2311yescharacteristic
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2312yes—
488#393C2314yes—
489#393C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2312yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#386C2314yes—
627#386C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#384C2312yes—
653#384C2312yes—
654#384C2312yes—
655#382C2312yes—
656#382C2312yes—
657#382C2312yes—
658#382C2314yes—
659#382C2311yescharacteristic
660#381C2314yes—
661#381C2312yes—
662#381C2312yes—
663#381C2314yes—
664#381C2314yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2314yes—
670#380C2314yes—
671#380C2312yes—
672#380C2314yes—
673#380C2312yes—
674#380C2312yes—
675#380C2314yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#379C2314yes—
680#379C2314yes—
681#379C2314yes—
682#379C2314yes—
683#379C2314yes—
684#379C2314yes—
685#379C2314yes—
686#379C2314yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2311yescharacteristic
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713#376C2314yes—
714#376C2311yescharacteristic
715#376C2311yescharacteristic
716#376C2312yes—
717#376C2312yes—
718C43C2312yes—
719C43C2311yescharacteristic
720C25C2414yes—
721C25C2414yes—
722C2×#41—48no—
723C2×#41—44no—
724C2×#41—44no—
725C2×#41—48no—
726C22×Q8C2411yescharacteristic
727C22×Q8C2411yescharacteristic
728C22×Q8C2412yes—
729C22×Q8C2412yes—
730C22×D4—28no—
731C22×D4—44no—
732C22×D4—48no—
733C22×D4—44no—
734C22×D4—44no—
735C22×D4—44no—
736C22×D4—44no—
737C22×D4—44no—
738C22×D4—44no—
739C22×D4—48no—
740C22×D4—48no—
741C22×D4—82no—
742C22×D4C2412yes—
743C22×D4C2412yes—
744C22×D4C2411yescharacteristic
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2412yes—
748C22×D4C2411yescharacteristic
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2411yescharacteristic
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2414yes—
769C23×C4C2412yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C4⋊Q8—42no—
778C4⋊Q8—42no—
779#127—28no—
780#127—44no—
781#127—42no—
782#127—42no—
783#126—48no—
784#126—48no—
785#126—84no—
786#125—44no—
787#125—42no—
788#125—42no—
789#124—28no—
790#124—48no—
791#124—48no—
792#124—42no—
793#124—44no—
794#124—82no—
795#123—48no—
796#123—48no—
797#123—48no—
798#123—48no—
799#123—48no—
800#123—48no—
801#123—48no—
802#123—48no—
803#123—48no—
804C22⋊Q8—44no—
805C22⋊Q8—48no—
806C22⋊Q8—44no—
807C22⋊Q8—44no—
808C22⋊Q8—44no—
809C22⋊Q8—48no—
810C22⋊Q8—48no—
811C22⋊Q8—48no—
812#121—28no—
813#121—28no—
814#121—216no—
815#121—48no—
816#121—48no—
817#121—48no—
818#121—48no—
819#121—44no—
820#121—44no—
821#121—44no—
822#121—44no—
823#121—44no—
824#121—44no—
825#121—48no—
826#121—44no—
827#120—48no—
828#120—48no—
829#120—48no—
830#120—48no—
831#120—48no—
832#120—48no—
833#120—48no—
834#120—48no—
835#120—48no—
836#120—84no—
837#120—84no—
838#120—84no—
839C4×Q8—42no—
840C4×Q8—42no—
841C4×D4—24no—
842C4×D4—24no—
843C4×D4—24no—
844C4×D4—216no—
845C4×D4—48no—
846C4×D4—44no—
847C4×D4—44no—
848C4×D4—44no—
849C4×D4—44no—
850C4×D4—44no—
851C4×D4—42no—
852C4×D4—44no—
853C4×D4—48no—
854C4×D4—48no—
855C4×D4—42no—
856C4×D4—48no—
857C4×D4—84no—
858C4×D4—84no—
859#117—28no—
860#117—44no—
861#117—48no—
862#117—44no—
863#117—44no—
864C2×C4⋊C4—44no—
865C2×C4⋊C4—44no—
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C22⋊C4—216no—
914C2×C22⋊C4—48no—
915C2×C22⋊C4—48no—
916C2×C22⋊C4—48no—
917C2×C22⋊C4—48no—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C42—44no—
991C2×C42—82no—
992C2×C42C2412yes—
993C2×C42C2411yescharacteristic
994C2×C42C2414yes—
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2412yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014#95C2412yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2411yescharacteristic
1025#95C2414yes—
1026#95C2411yescharacteristic
1027#95C2414yes—
1028#95C2411yescharacteristic
1029#95C2411yescharacteristic
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061C24—28no—
1062C24—28no—
1063C24—44no—
1064C24—44no—
1065C24—44no—
1066C24—44no—
1067C24—44no—
1068C24—44no—
1069C24—44no—
1070C24—44no—
1071C24—44no—
1072C24—44no—
1073C24—44no—
1074C24—44no—
1075C24C2514yes—
1076C24C2512yes—
1077C24C2514yes—
1078C24C2512yes—
1079C24C2512yes—
1080#41—816no—
1081#41—816no—
1082C2×Q8—24no—
1083C2×Q8—22no—
1084C2×Q8—41no—
1085C2×Q8—41no—
1086C2×Q8—44no—
1087C2×Q8—42no—
1088C2×Q8—41no—
1089C2×Q8—44no—
1090C2×Q8—42no—
1091C2×D4—24no—
1092C2×D4—28no—
1093C2×D4—28no—
1094C2×D4—24no—
1095C2×D4—28no—
1096C2×D4—28no—
1097C2×D4—24no—
1098C2×D4—28no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—28no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—22no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—41no—
1113C2×D4—42no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—42no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—816no—
1156C2×D4—816no—
1157C2×D4—816no—
1158C2×D4—832no—
1159C2×D4H(5,𝔽2)14yes—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—28no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—28no—
1173C22×C4—28no—
1174C22×C4—24no—
1175C22×C4—28no—
1176C22×C4—28no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—42no—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2514yes—
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2514yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C4⋊C4—22no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—28no—
1225C4⋊C4—24no—
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—41no—
1232C4⋊C4—44no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—42no—
1242C4⋊C4—41no—
1243C4⋊C4—42no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—41no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C22⋊C4—28no—
1266C22⋊C4—24no—
1267C22⋊C4—24no—
1268C22⋊C4—24no—
1269C22⋊C4—24no—
1270C22⋊C4—24no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—28no—
1278C22⋊C4—24no—
1279C22⋊C4—24no—
1280C22⋊C4—28no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—44no—
1303C22⋊C4—42no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4H(5,𝔽2)18yes—
1337C42—24no—
1338C42—24no—
1339C42—28no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—22no—
1348C42—24no—
1349C42—42no—
1350C42—42no—
1351C42—41no—
1352C42—44no—
1353C42—42no—
1354C42—42no—
1355C42—44no—
1356C42—42no—
1357C42—42no—
1358C42—42no—
1359C23—22no—
1360C23—22no—
1361C23—24no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—24no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—24no—
1370C23—22no—
1371C23—24no—
1372C23—22no—
1373C23—24no—
1374C23—24no—
1375C23—22no—
1376C23—24no—
1377C23—24no—
1378C23—24no—
1379C23—22no—
1380C23—22no—
1381C23—24no—
1382C23—22no—
1383C23—24no—
1384C23—24no—
1385C23—24no—
1386C23—24no—
1387C23—24no—
1388C23—24no—
1389C23—22no—
1390C23—88no—
1391C23—88no—
1392C23—88no—
1393C23—88no—
1394C23—88no—
1395C23—88no—
1396C23—88no—
1397C23—88no—
1398C23—88no—
1399C23—88no—
1400C23—164no—
1401C23—164no—
1402C23—164no—
1403C23—164no—
1404C23C2×H(5,𝔽2)14yes—
1405C23C2×H(5,𝔽2)14yes—
1406C23C2611yescharacteristic
1407Q8—44no—
1408Q8—82no—
1409Q8—84no—
1410Q8—162no—
1411D4—28no—
1412D4—48no—
1413D4—416no—
1414D4—44no—
1415D4—416no—
1416D4—44no—
1417D4—48no—
1418D4—48no—
1419D4—84no—
1420D4—88no—
1421D4—88no—
1422D4—88no—
1423D4—84no—
1424D4—88no—
1425D4—88no—
1426D4—88no—
1427D4—88no—
1428D4—88no—
1429D4—88no—
1430D4—84no—
1431D4—162no—
1432D4—162no—
1433D4—164no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—48no—
1496C2×C4—48no—
1497C2×C4—48no—
1498C2×C4—48no—
1499C2×C4—84no—
1500C2×C4—88no—
1501C2×C4—88no—
1502C2×C4—88no—
1503C2×C4—88no—
1504C2×C4—88no—
1505C2×C4—84no—
1506C2×C4—84no—
1507C2×C4C2×H(5,𝔽2)14yes—
1508C2×C4C2×H(5,𝔽2)14yes—
1509C2×C4C2×H(5,𝔽2)12yes—
1510C2×C4#58512yes—
1511C2×C4#58514yes—
1512C22—24no—
1513C22—24no—
1514C22—24no—
1515C22—24no—
1516C22—24no—
1517C22—24no—
1518C22—42no—
1519C22—42no—
1520C22—44no—
1521C22—42no—
1522C22—44no—
1523C22—42no—
1524C22—42no—
1525C22—44no—
1526C22—44no—
1527C22—44no—
1528C22—44no—
1529C22—42no—
1530C22—44no—
1531C22—44no—
1532C22—44no—
1533C22—44no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—44no—
1538C22—44no—
1539C22—44no—
1540C22—44no—
1541C22—42no—
1542C22—44no—
1543C22—42no—
1544C22—44no—
1545C22—1616no—
1546C22—1616no—
1547C22C22×H(5,𝔽2)11yescharacteristic
1548C22C22×H(5,𝔽2)12yes—
1549C22C2×#58512yes—
1550C22C2×#58511yescharacteristic
1551C22H(7,𝔽2)11yescharacteristic
1552C4—24no—
1553C4—22no—
1554C4—24no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—44no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—42no—
1564C4—42no—
1565C4—44no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—41no—
1570C4—41no—
1571C4—42no—
1572C4—44no—
1573C4—44no—
1574C4—42no—
1575C4#354514yes—
1576C2—44no—
1577C2—44no—
1578C2—84no—
1579C2—82no—
1580C2—84no—
1581C2C2×#354511yescharacteristic
1582C2#6275912yes—
1583C2#6291811yescharacteristic
1584C2#6292012yes—
1585C2#6301111yescharacteristic
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. #59952C2semidirect
2. #59814C2semidirect
3. #59808C2semidirect
4. #59412C2semidirect
5. #58802C2semidirect
6. #56317C2semidirect
7. #53907C2semidirect
8. #53101C2semidirect
9. #53099C2semidirect
10. #52986C2semidirect
11. #52748C2semidirect
12. #52696C2semidirect
13. #42482C2semidirect
14. #42479C2semidirect
15. #42475C2semidirect
16. #41989C2semidirect
17. #41415C2semidirect
18. #39110C2semidirect
19. #39066C2semidirect
20. #39046C2semidirect
21. #39030C2semidirect
22. #39002C2semidirect
23. #37591C2semidirect
24. #37517C2semidirect
25. #37493C2semidirect
26. #36289C2semidirect
27. #36264C2semidirect
28. #34970C2semidirect
29. #34874C2semidirect
30. C2×#554C22semidirect
31. C2×#551C22semidirect
34. C2×#546C22semidirect
35. C2×#546C22semidirect
37. C2×D42C22semidirect
38. #2860C22semidirect
40. #2854C22semidirect
41. #2850C22semidirect
42. #2830C22semidirect
43. #2830C22semidirect
44. #2830C22semidirect
45. #2829C22semidirect
46. #2829C22semidirect
47. #2829C22semidirect
48. #2828C22semidirect
49. #2828C22semidirect
50. #2828C22semidirect
51. #2823C22semidirect
52. #2817C22semidirect
53. #2816C22semidirect
54. #2816C22semidirect
55. #2814C22semidirect
56. #2814C22semidirect
57. #2812C22semidirect
58. #2812C22semidirect
59. #2785C22semidirect
60. #2779C22semidirect
61. #2779C22semidirect
62. #2768C22semidirect
63. #2761C22semidirect
64. #2761C22semidirect
65. #2761C22semidirect
66. #2752C22semidirect
67. #2735C22semidirect
68. #2733C22semidirect
69. #2715C22semidirect
70. #2706C22semidirect
71. #2705C22semidirect
72. #2705C22semidirect
73. #2703C22semidirect
74. #2699C22semidirect
75. #2698C22semidirect
76. #2697C22semidirect
77. #2697C22semidirect
78. #2687C22semidirect
79. #2685C22semidirect
80. #2685C22semidirect
81. #2685C22semidirect
82. #2683C22semidirect
83. #2682C22semidirect
84. #2681C22semidirect
85. #2681C22semidirect
86. #2681C22semidirect
87. #2680C22semidirect
88. #2680C22semidirect
89. #2679C22semidirect
90. #2679C22semidirect
91. #2679C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2672C22semidirect
98. #2670C22semidirect
99. #2662C22semidirect
100. #2661C22semidirect
101. #2660C22semidirect
102. #2651C22semidirect
103. #2651C22semidirect
104. #2648C22semidirect
105. #2648C22semidirect
106. #2644C22semidirect
107. #2641C22semidirect
108. #2641C22semidirect
109. #2638C22semidirect
110. #2630C22semidirect
111. #2629C22semidirect
112. #2627C22semidirect
113. #2624C22semidirect
114. #2622C22semidirect
116. #2618C22semidirect
117. #2617C22semidirect
118. #2616C22semidirect
119. #2616C22semidirect
120. #2613C22semidirect
121. #2613C22semidirect
122. #2612C22semidirect
123. #2610C22semidirect
124. #2610C22semidirect
125. #2610C22semidirect
126. #2609C22semidirect
127. #2603C22semidirect
128. #2603C22semidirect
129. #2602C22semidirect
130. #2593C22semidirect
131. #2584C22semidirect
132. #2574C22semidirect
133. #2567C22semidirect
134. #2563C22semidirect
135. #2562C22semidirect
137. #2555C22semidirect
138. #2554C22semidirect
140. #2548C22semidirect
141. #2538C22semidirect
142. #2537C22semidirect
143. #2535C22semidirect
144. #2534C22semidirect
145. #2534C22semidirect
146. #2534C22semidirect
147. #2531C22semidirect
148. #2531C22semidirect
149. #2531C22semidirect
150. #2529C22semidirect
151. #2529C22semidirect
152. #2526C22semidirect
153. #2513C22semidirect
154. #2512C22semidirect
155. #2512C22semidirect
156. #2507C22semidirect
157. #2504C22semidirect
158. #2500C22semidirect
159. #2497C22semidirect
160. #2491C22semidirect
161. #2490C22semidirect
162. #2490C22semidirect
163. #2490C22semidirect
164. #2490C22semidirect
165. #2486C22semidirect
166. #2485C22semidirect
167. #2480C22semidirect
168. #2476C22semidirect
169. #2476C22semidirect
170. #2474C22semidirect
171. #2472C22semidirect
172. #2472C22semidirect
173. #2472C22semidirect
174. #2472C22semidirect
175. #2471C22semidirect
176. #2468C22semidirect
177. #2467C22semidirect
178. #2467C22semidirect
179. #2464C22semidirect
180. #2461C22semidirect
181. #2461C22semidirect
182. #2461C22semidirect
183. #2454C22semidirect
184. #2454C22semidirect
185. #2452C22semidirect
186. #2452C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2442C22semidirect
192. #2441C22semidirect
193. #2440C22semidirect
194. #2435C22semidirect
197. #2433C22semidirect
199. #2428C22semidirect
200. #2424C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2424C22semidirect
204. #2422C22semidirect
205. #2422C22semidirect
206. #2420C22semidirect
207. #2420C22semidirect
208. #2418C22semidirect
209. #2418C22semidirect
210. #2416C22semidirect
212. #2414C22semidirect
213. #2411C22semidirect
215. #2408C22semidirect
216. #2408C22semidirect
217. #2408C22semidirect
218. #2407C22semidirect
219. #2406C22semidirect
220. #2406C22semidirect
221. #2405C22semidirect
222. #2404C22semidirect
223. #2403C22semidirect
224. #2399C22semidirect
225. #2398C22semidirect
226. #2395C22semidirect
227. #2392C22semidirect
228. #2392C22semidirect
229. #2372C22semidirect
230. #2363C22semidirect
231. #2361C22semidirect
232. #2358C22semidirect
233. #2346C22semidirect
234. D4×C22⋊C4C22semidirect
235. D4×C22⋊C4C22semidirect
236. D4×C22⋊C4C22semidirect
237. #2319C22semidirect
238. #2319C22semidirect
239. #2319C22semidirect
240. #2312C22semidirect
241. #2309C22semidirect
242. C4×#127C22semidirect
243. C4×#127C22semidirect
244. C4×#125C22semidirect
245. C4×#124C22semidirect
246. C4×#124C22semidirect
247. C4×#123C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. #2298C22semidirect
253. #2293C22semidirect
254. C2×#390C22semidirect
255. C2×#390C22semidirect
256. #2290C22semidirect
257. C42×D4C22semidirect
258. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#599522
#598142
#598082
#594122
#588022
#563172
#539072
#531012
#530992
#529862
#527482
#526962
#424822
#424792
#424752
#419892
#414152
#391102
#390662
#390462
#390302
#390022
#375912
#375172
#374932
#362892
#362642
#349702
#348742