Finite Group Databasebeta

← #7651831

Subgroups — #7651831

Order 512.

7046 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C212yesmaximal, complemented
2#42971C211yesmaximal, characteristic, complemented
3#42929C211yesmaximal, characteristic, complemented
4#42677C212yesmaximal, complemented
5#42673C211yesmaximal, characteristic, complemented
6#42481C212yesmaximal, complemented
7#42475C211yesmaximal, characteristic, complemented
8#40529C214yesmaximal, complemented
9#40520C214yesmaximal, complemented
10#40507C214yesmaximal, complemented
11#40498C214yesmaximal, complemented
12#39963C212yesmaximal, complemented
13#39953C212yesmaximal, complemented
14#39870C214yesmaximal, complemented
15#39461C214yesmaximal, complemented
16#38958C212yesmaximal, complemented
17#38949C212yesmaximal, complemented
18#38035C214yesmaximal, complemented
19#38028C214yesmaximal, complemented
20#35611C212yesmaximal, complemented
21#35569C212yesmaximal, complemented
22#35524C212yesmaximal, complemented
23#35331C211yesmaximal, characteristic, complemented
24#35155C212yesmaximal, complemented
25#34880C211yesmaximal, characteristic, complemented
26#34715C212yesmaximal, complemented
27#34255C211yesmaximal, characteristic, complemented
28#3514—232no—
29C2×#559C2212yes—
30C2×#556C2212yescomplemented
31C2×#555C2212yes—
32C2×#555C2212yescomplemented
33C2×#551C2214yescomplemented
34C2×#551C2214yescomplemented
35C2×D4×Q8C2212yescomplemented
36C2×#548C2214yescomplemented
37C2×#546C2212yes—
38C2×#546C2212yescomplemented
39C2×#546C2214yescomplemented
40C2×D42C2212yes—
41C2×#542C2212yes—
42C2×#542C2212yescomplemented
43C2×#538C2214yescomplemented
44C2×#538C2214yescomplemented
45C2×#532C2212yes—
46C2×#529C2212yescomplemented
47C2×#529C2214yescomplemented
48C22×#124C2214yescomplemented
49C2×#518C2211yescharacteristic
50C2×#518C2212yescomplemented
51C2×C4×#41C2212yescomplemented
52#2862C2211yescharacteristic, complemented
53#2858C2211yescharacteristic, complemented
54#2855C2214yescomplemented
55#2853C2214yescomplemented
56#2850C2212yescomplemented
57#2823C2212yescomplemented
58#2819C2212yescomplemented
59#2815C2214yescomplemented
60#2814C2214yescomplemented
61#2812C2212yes—
62#2812C2212yescomplemented
63#2724C2212yescomplemented
64#2722C2212yescomplemented
65#2715C2214yescomplemented
66#2715C2214yescomplemented
67#2712C2212yes—
68#2712C2214yescomplemented
69#2712C2212yescomplemented
70#2710C2214yescomplemented
71#2710C2214yescomplemented
72#2710C2214yescomplemented
73#2706C2214yescomplemented
74#2701C2214yescomplemented
75#2701C2214yescomplemented
76#2700C2214yescomplemented
77#2700C2214yescomplemented
78#2700C2214yescomplemented
79#2700C2214yescomplemented
80#2700C2214yescomplemented
81#2700C2214yescomplemented
82#2699C2212yes—
83#2699C2214yescomplemented
84#2699C2212yescomplemented
85#2697C2214yescomplemented
86#2691C2214yescomplemented
87#2680C2214yescomplemented
88#2680C2214yescomplemented
89#2679C2212yes—
90#2678C2214yes—
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2676C2214yescomplemented
94#2676C2214yescomplemented
95#2675C2212yescomplemented
96#2670C2214yescomplemented
97#2670C2214yescomplemented
98#2670C2214yescomplemented
99#2662C2214yescomplemented
100#2661C2214yescomplemented
101#2640C2212yescomplemented
102#2638C2214yescomplemented
103#2638C2214yescomplemented
104#2637C2214yescomplemented
105#2630C2214yescomplemented
106#2624C2214yescomplemented
107#2622C2214yescomplemented
108#2621C2211yescharacteristic, complemented
109#2620C2214yescomplemented
110#2620C2214yescomplemented
111#2619C2211yescharacteristic
112#2617C2214yescomplemented
113#2617C2214yescomplemented
114#2614C2214yescomplemented
115#2613C2214yes—
116#2609C2212yescomplemented
117#2602C2214yescomplemented
118#2601C2214yescomplemented
119#2600C2214yescomplemented
120#2592C2212yescomplemented
121#2592C2214yescomplemented
122#2582C2212yescomplemented
123#2567C2212yescomplemented
124#2561C2214yescomplemented
125#2560C2214yescomplemented
126#2560C2214yescomplemented
127#2560C2214yescomplemented
128#2557C2214yescomplemented
129#2557C2214yescomplemented
130#2557C2214yescomplemented
131#2556C2212yescomplemented
132#2556C2214yescomplemented
133#2555C2212yes—
134#2555C2214yescomplemented
135#2554C2212yescomplemented
136#2553C2212yescomplemented
137#2547C2212yescomplemented
138#2540C2212yescomplemented
139#2534C2214yescomplemented
140#2521C2212yescomplemented
141#2521C2214yescomplemented
142#2519C2212yescomplemented
143#2512C2214yescomplemented
144#2499C2214yescomplemented
145#2483C2212yescomplemented
146#2482C2214yescomplemented
147#2480C2214yescomplemented
148#2478C2214yescomplemented
149#2476C2214yescomplemented
150#2474C2214yescomplemented
151#2474C2214yescomplemented
152#2472C2214yescomplemented
153#2472C2214yescomplemented
154#2466C2214yescomplemented
155#2466C2214yescomplemented
156#2464C2212yescomplemented
157#2461C2212yescomplemented
158#2461C2214yescomplemented
159#2459C2214yescomplemented
160#2459C2214yescomplemented
161#2459C2214yescomplemented
162#2459C2214yescomplemented
163#2456C2214yescomplemented
164#2456C2214yescomplemented
165#2452C2212yescomplemented
166#2452C2212yescomplemented
167#2451C2212yescomplemented
168#2451C2212yescomplemented
169#2447C2212yescomplemented
170#2447C2212yescomplemented
171#2445C2212yes—
172#2445C2212yes—
173#2439C2212yescomplemented
174#2439C2212yescomplemented
175#2439C2212yescomplemented
176#2439C2212yescomplemented
177#2436C2214yescomplemented
178#2435C2212yescomplemented
179#2433C2212yes—
180#2432C2212yescomplemented
181#2431C2212yes—
182#2429C2212yescomplemented
183#2428C2212yescomplemented
184#2427C2212yescomplemented
185#2426C2212yescomplemented
186#2424C2214yescomplemented
187#2422C2214yescomplemented
188#2420C2212yes—
189#2420C2212yes—
190#2420C2212yescomplemented
191#2420C2212yescomplemented
192#2417C2212yescomplemented
193#2416C2212yescomplemented
194#2415C2214yescomplemented
195#2415C2212yescomplemented
196#2415C2212yescomplemented
197#2415C2212yescomplemented
198#2414C2212yes—
199#2414C2214yescomplemented
200#2414C2212yescomplemented
201#2414C2212yescomplemented
202#2412C2214yescomplemented
203#2411C2214yescomplemented
204#2411C2214yescomplemented
205#2410C2214yescomplemented
206#2409C2214yescomplemented
207#2408C2212yes—
208#2408C2212yescomplemented
209#2407C2212yes—
210#2407C2214yescomplemented
211#2407C2212yescomplemented
212#2404C2214yescomplemented
213#2403C2212yes—
214#2399C2211yescharacteristic, complemented
215#2397C2211yescharacteristic, complemented
216#2392C2211yescharacteristic
217#2392C2211yescharacteristic, complemented
218#2392C2214yescomplemented
219#2388C2214yescomplemented
220#2357C2214yescomplemented
221#2354C2214yescomplemented
222#2342C2214yescomplemented
223#2342C2214yescomplemented
224#2328C2211yescharacteristic, complemented
225#2327C2211yescharacteristic, complemented
226#2324C2212yescomplemented
227#2323C2212yescomplemented
228#2323C2214yescomplemented
229#2321C2214yescomplemented
230#2319C2212yescomplemented
231#2319C2212yescomplemented
232#2317C2211yescharacteristic, complemented
233#2310C2214yescomplemented
234#2309C2211yescharacteristic
235#2308C2214yescomplemented
236C4×#124C2212yescomplemented
237C4×#124C2212yescomplemented
238C4×C22⋊Q8C2212yescomplemented
239C4×#123C2214yescomplemented
240C4×#121C2212yescomplemented
241C4×#121C2212yescomplemented
242#2297C2214yescomplemented
243#2296C2211yescharacteristic, complemented
244#2293C2212yescomplemented
245#2293C2211yescharacteristic, complemented
246#2293C2212yescomplemented
247C2×#390C2211yescharacteristic
248#2290C2212yescomplemented
249#2274C2211yescharacteristic, complemented
250C42×D4C2211yescharacteristic, complemented
251C4×#117C2211yescharacteristic, complemented
252C22×#41C2312yes—
253C22×#41C2314yes—
254C23×Q8C2314yes—
255C23×D4C2312yes—
256C23×D4C2314yes—
257C23×D4C2311yescharacteristic
258#559—216no—
259#556—216no—
260#555—216no—
261#555—216no—
262#551—232no—
263#551—232no—
264D4×Q8—216no—
265#548—232no—
266#546—216no—
267#546—216no—
268#546—232no—
269D42—216no—
270#542—216no—
271#542—216no—
272#538—232no—
273#538—232no—
274#532—216no—
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2311yescharacteristic
279C2×#127C2312yes—
280C2×#127C2311yescharacteristic
281#529—232no—
282#529—216no—
283C2×#126C2314yes—
284C2×#126C2314yes—
285C2×#126C2314yes—
286C2×#126C2312yes—
287C2×#126C2312yes—
288C2×#126C2314yes—
289C2×#125C2312yes—
290C2×#124—232no—
291C2×#124C2314yes—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#124C2314yes—
297C2×#124C2314yes—
298C2×#124C2314yes—
299C2×#124C2314yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302C2×#124C2312yes—
303C2×#124C2312yes—
304C2×#124C2312yes—
305C2×#124C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2312yes—
309C2×#123C2312yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352#518—216no—
353#518D4116yescomplemented
354C4×#41—216no—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×#117C2314yes—
381C2×#117C2312yes—
382C2×#117C2314yes—
383C2×#117C2312yes—
384C2×#117C2314yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2314yes—
389C2×#117C2314yes—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2314yes—
399C22×C42C2314yes—
400C22×C42C2312yes—
401C22×C42C2311yescharacteristic
402#399C2312yes—
403#399C2314yes—
404#399C2312yes—
405#398C2312yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2311yescharacteristic
410#398C2314yes—
411#398C2311yescharacteristic
412#398C2314yes—
413#398C2312yes—
414#398C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2311yescharacteristic
434#397C2314yes—
435#397C2311yescharacteristic
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2312yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2312yes—
451#395C2314yes—
452#395C2314yes—
453#395C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2314yes—
457#394C2311yescharacteristic
458#394C2311yescharacteristic
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2312yes—
500#392C2314yes—
501#392C2314yes—
502#392C2312yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2312yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2311yescharacteristic
511#392C2311yescharacteristic
512#392C2312yes—
513#392C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2312yes—
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2314yes—
525#391C2312yes—
526#391C2314yes—
527#391C2312yes—
528#391C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2312yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2312yes—
632#386C2314yes—
633#386C2314yes—
634#386C2312yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#385C2312yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2312yes—
653#385C2314yes—
654#384C2314yes—
655#384C2312yes—
656#382C2312yes—
657#382C2311yescharacteristic
658#382C2311yescharacteristic
659#382C2312yes—
660#382C2312yes—
661#381C2314yes—
662#381C2314yes—
663#381C2314yes—
664#381C2314yes—
665#381C2314yes—
666#381C2314yes—
667#381C2314yes—
668#381C2314yes—
669#380C2314yes—
670#380C2314yes—
671#380C2312yes—
672#380C2314yes—
673#380C2312yes—
674#380C2314yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#379C2314yes—
679#379C2314yes—
680#379C2314yes—
681#379C2312yes—
682#379C2312yes—
683#379C2314yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2311yescharacteristic
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710#376C2311yescharacteristic
711#376C2311yescharacteristic
712C43C2311yescharacteristic
713C43C2311yescharacteristic
714C25C2414yes—
715C25C2412yes—
716C2×#41—28no—
717C2×#41—216no—
718C2×#41—44no—
719C2×#41—44no—
720C2×#41—48no—
721C2×#41—84no—
722C22×Q8—216no—
723C22×Q8—48no—
724C22×Q8—84no—
725C22×Q8C2412yes—
726C22×Q8C2414yes—
727C22×Q8C2412yes—
728C22×Q8C2414yes—
729C22×Q8C2414yes—
730C22×D4—216no—
731C22×D4—28no—
732C22×D4—42no—
733C22×D4—42no—
734C22×D4—44no—
735C22×D4—44no—
736C22×D4—48no—
737C22×D4—84no—
738C22×D4C2×D418yes—
739C22×D4C2412yes—
740C22×D4C2414yes—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2411yescharacteristic
753C22×D4C2411yescharacteristic
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2412yes—
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2414yes—
764C23×C4C2411yescharacteristic
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2414yes—
769C23×C4C2412yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C4⋊Q8—28no—
775C4⋊Q8—28no—
776C4⋊Q8—28no—
777C4⋊Q8—42no—
778#127—28no—
779#127—42no—
780#126—216no—
781#126—28no—
782#126—216no—
783#126—28no—
784#126—216no—
785#126—216no—
786#125—28no—
787#124—28no—
788#124—28no—
789#124—216no—
790#124—216no—
791#124—216no—
792#124—216no—
793#124—216no—
794#124—216no—
795#124—216no—
796#124—216no—
797#124—216no—
798#124—28no—
799#124—44no—
800#124—44no—
801#124—84no—
802#123—216no—
803#123—216no—
804#123—216no—
805#123—28no—
806#123—28no—
807#123—216no—
808#123—216no—
809#123—216no—
810#123—48no—
811#123—84no—
812C22⋊Q8—216no—
813C22⋊Q8—28no—
814C22⋊Q8—216no—
815C22⋊Q8—28no—
816C22⋊Q8—28no—
817C22⋊Q8—216no—
818C22⋊Q8—216no—
819C22⋊Q8—216no—
820C22⋊Q8—48no—
821C22⋊Q8—44no—
822C22⋊Q8—44no—
823C22⋊Q8—84no—
824#121—216no—
825#121—28no—
826#121—216no—
827#121—28no—
828#121—216no—
829#121—216no—
830#121—28no—
831#121—28no—
832#121—28no—
833#121—216no—
834#121—216no—
835#121—44no—
836#121—44no—
837#121—44no—
838#121—84no—
839#121—84no—
840#120—216no—
841#120—216no—
842#120—216no—
843#120—216no—
844#120—48no—
845#120—84no—
846#120—84no—
847#120—84no—
848C4×Q8—28no—
849C4×Q8—28no—
850C4×Q8—216no—
851C4×Q8—28no—
852C4×D4—28no—
853C4×D4—28no—
854C4×D4—216no—
855C4×D4—216no—
856C4×D4—28no—
857C4×D4—28no—
858C4×D4—216no—
859C4×D4—216no—
860C4×D4—28no—
861C4×D4—216no—
862C4×D4—216no—
863C4×D4—28no—
864C4×D4—28no—
865C4×D4—44no—
866C4×D4—42no—
867C4×D4—42no—
868C4×D4—44no—
869C4×D4—84no—
870C4×D4C2×D4116yes—
871C4×D4C2×D4132yes—
872C4×D4C2×D4116yes—
873#117—216no—
874#117—28no—
875#117—28no—
876#117—216no—
877#117—28no—
878#117—216no—
879#117—42no—
880#117—42no—
881#117—84no—
882#117—84no—
883#117C2×D418yes—
884#117C2×D418yes—
885C2×C4⋊C4—42no—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C22⋊C4—216no—
930C2×C22⋊C4—216no—
931C2×C22⋊C4—216no—
932C2×C22⋊C4—216no—
933C2×C22⋊C4—84no—
934C2×C22⋊C4C2×D4132yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C42—216no—
1005C2×C42—28no—
1006C2×C42—42no—
1007C2×C42C2414yes—
1008C2×C42C2414yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2414yes—
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2411yescharacteristic
1038#95C2411yescharacteristic
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2411yescharacteristic
1060#95C2414yes—
1061#95C2412yes—
1062#95C2411yescharacteristic
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076C24—28no—
1077C24—44no—
1078C24—42no—
1079C24—42no—
1080C24—44no—
1081C24—44no—
1082C24—44no—
1083C24—44no—
1084C24—44no—
1085C24—44no—
1086C24—44no—
1087C24C22×D418yes—
1088C24C2512yes—
1089C24C2514yes—
1090C24C2512yes—
1091C24C2511yescharacteristic
1092C24C2514yes—
1093#41—432no—
1094#41—832no—
1095C2×Q8—24no—
1096C2×Q8—24no—
1097C2×Q8—28no—
1098C2×Q8—28no—
1099C2×Q8—28no—
1100C2×Q8—24no—
1101C2×Q8—24no—
1102C2×Q8—28no—
1103C2×Q8—24no—
1104C2×Q8—42no—
1105C2×Q8—44no—
1106C2×Q8—44no—
1107C2×Q8—44no—
1108C2×Q8—44no—
1109C2×Q8—44no—
1110C2×Q8—832no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—24no—
1114C2×D4—28no—
1115C2×D4—24no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—28no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—28no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—416no—
1130C2×D4—41no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—41no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—432no—
1170C2×D4—832no—
1171C2×D4C22×D418yes—
1172C2×D4C22×D418yes—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—28no—
1176C22×C4—28no—
1177C22×C4—28no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—28no—
1187C22×C4—24no—
1188C22×C4—28no—
1189C22×C4—28no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—42no—
1211C22×C4C22×D414yes—
1212C22×C4C22×D4116yes—
1213C22×C4C22×D4116yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2514yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2514yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—42no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4C22×D418yes—
1278C4⋊C4C22×D418yes—
1279C22⋊C4—24no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—24no—
1287C22⋊C4—28no—
1288C22⋊C4—24no—
1289C22⋊C4—28no—
1290C22⋊C4—24no—
1291C22⋊C4—24no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—24no—
1300C22⋊C4—28no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4C22×D4116yes—
1345C22⋊C4C22×D418yes—
1346C22⋊C4C22×D418yes—
1347C22⋊C4C22×D4116yes—
1348C42—24no—
1349C42—28no—
1350C42—24no—
1351C42—28no—
1352C42—24no—
1353C42—28no—
1354C42—28no—
1355C42—24no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—42no—
1361C42—42no—
1362C42—42no—
1363C42—42no—
1364C42—44no—
1365C42—44no—
1366C42—42no—
1367C42—42no—
1368C42C22×D414yes—
1369C42C22×D418yes—
1370C42C22×D414yes—
1371C23—21no—
1372C23—21no—
1373C23—24no—
1374C23—24no—
1375C23—22no—
1376C23—24no—
1377C23—24no—
1378C23—24no—
1379C23—24no—
1380C23—22no—
1381C23—22no—
1382C23—24no—
1383C23—22no—
1384C23—24no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—24no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—24no—
1394C23—22no—
1395C23—24no—
1396C23—22no—
1397C23—22no—
1398C23—24no—
1399C23—24no—
1400C23—22no—
1401C23—22no—
1402C23—48no—
1403C23—416no—
1404C23—416no—
1405C23—88no—
1406C23—88no—
1407C23—162no—
1408C23—164no—
1409C23—162no—
1410C23—164no—
1411C23—164no—
1412C23—164no—
1413C23—164no—
1414C23C23×D412yes—
1415C23C23×D418yes—
1416C23C2611yescharacteristic
1417Q8—48no—
1418Q8—416no—
1419Q8—48no—
1420Q8—88no—
1421Q8—88no—
1422D4—216no—
1423D4—48no—
1424D4—48no—
1425D4—416no—
1426D4—416no—
1427D4—416no—
1428D4—44no—
1429D4—48no—
1430D4—84no—
1431D4—88no—
1432D4—84no—
1433D4—88no—
1434D4—88no—
1435D4—88no—
1436D4—88no—
1437D4—88no—
1438D4—82no—
1439D4—84no—
1440D4—162no—
1441D4—162no—
1442D4—164no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—28no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—416no—
1499C2×C4—416no—
1500C2×C4—48no—
1501C2×C4—416no—
1502C2×C4—416no—
1503C2×C4—48no—
1504C2×C4—48no—
1505C2×C4—84no—
1506C2×C4—88no—
1507C2×C4—88no—
1508C2×C4—88no—
1509C2×C4—84no—
1510C2×C4—162no—
1511C2×C4C23×D414yes—
1512C2×C4C23×D418yes—
1513C2×C4C23×D412yes—
1514C2×C4C23×D414yes—
1515C2×C4C23×D412yes—
1516C2×C4#58514yes—
1517C2×C4#58512yes—
1518C2×C4#58512yes—
1519C22—28no—
1520C22—28no—
1521C22—24no—
1522C22—22no—
1523C22—28no—
1524C22—41no—
1525C22—44no—
1526C22—41no—
1527C22—44no—
1528C22—42no—
1529C22—44no—
1530C22—44no—
1531C22—42no—
1532C22—44no—
1533C22—42no—
1534C22—44no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—44no—
1539C22—42no—
1540C22—42no—
1541C22—44no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—44no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—44no—
1550C22—42no—
1551C22—44no—
1552C22—168no—
1553C22—1616no—
1554C22C24×D411yescharacteristic
1555C22C2×#58512yes—
1556C22C2×#58511yescharacteristic
1557C22C2×#58511yescharacteristic
1558C22H(7,𝔽2)12yes—
1559C4—24no—
1560C4—24no—
1561C4—28no—
1562C4—24no—
1563C4—22no—
1564C4—44no—
1565C4—42no—
1566C4—44no—
1567C4—42no—
1568C4—42no—
1569C4—41no—
1570C4—41no—
1571C4—44no—
1572C4—41no—
1573C4—41no—
1574C4—42no—
1575C4—42no—
1576C4—44no—
1577C4—42no—
1578C4—42no—
1579C4—44no—
1580C4#344914yes—
1581C2—48no—
1582C2—42no—
1583C2—82no—
1584C2—84no—
1585C2—82no—
1586C2C2×#344911yescharacteristic
1587C2#6284111yescharacteristic
1588C2#6288511yescharacteristic
1589C2#6296612yes—
1590C2#6298712yes—
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×#3514C2semidirect
2. #42971C2semidirect
3. #42929C2semidirect
4. #42677C2semidirect
5. #42673C2semidirect
6. #42481C2semidirect
7. #42475C2semidirect
8. #40529C2semidirect
9. #40520C2semidirect
10. #40507C2semidirect
11. #40498C2semidirect
12. #39963C2semidirect
13. #39953C2semidirect
14. #39870C2semidirect
15. #39461C2semidirect
16. #38958C2semidirect
17. #38949C2semidirect
18. #38035C2semidirect
19. #38028C2semidirect
20. #35611C2semidirect
21. #35569C2semidirect
22. #35524C2semidirect
23. #35331C2semidirect
24. #35155C2semidirect
25. #34880C2semidirect
26. #34715C2semidirect
27. #34255C2semidirect
30. C2×#556C22semidirect
32. C2×#555C22semidirect
33. C2×#551C22semidirect
34. C2×#551C22semidirect
35. C2×D4×Q8C22semidirect
36. C2×#548C22semidirect
38. C2×#546C22semidirect
39. C2×#546C22semidirect
42. C2×#542C22semidirect
43. C2×#538C22semidirect
44. C2×#538C22semidirect
46. C2×#529C22semidirect
47. C2×#529C22semidirect
48. C22×#124C22semidirect
50. C2×#518C22semidirect
51. C2×C4×#41C22semidirect
52. #2862C22semidirect
53. #2858C22semidirect
54. #2855C22semidirect
55. #2853C22semidirect
56. #2850C22semidirect
57. #2823C22semidirect
58. #2819C22semidirect
59. #2815C22semidirect
60. #2814C22semidirect
62. #2812C22semidirect
63. #2724C22semidirect
64. #2722C22semidirect
65. #2715C22semidirect
66. #2715C22semidirect
68. #2712C22semidirect
69. #2712C22semidirect
70. #2710C22semidirect
71. #2710C22semidirect
72. #2710C22semidirect
73. #2706C22semidirect
74. #2701C22semidirect
75. #2701C22semidirect
76. #2700C22semidirect
77. #2700C22semidirect
78. #2700C22semidirect
79. #2700C22semidirect
80. #2700C22semidirect
81. #2700C22semidirect
83. #2699C22semidirect
84. #2699C22semidirect
85. #2697C22semidirect
86. #2691C22semidirect
87. #2680C22semidirect
88. #2680C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2676C22semidirect
94. #2676C22semidirect
95. #2675C22semidirect
96. #2670C22semidirect
97. #2670C22semidirect
98. #2670C22semidirect
99. #2662C22semidirect
100. #2661C22semidirect
101. #2640C22semidirect
102. #2638C22semidirect
103. #2638C22semidirect
104. #2637C22semidirect
105. #2630C22semidirect
106. #2624C22semidirect
107. #2622C22semidirect
108. #2621C22semidirect
109. #2620C22semidirect
110. #2620C22semidirect
112. #2617C22semidirect
113. #2617C22semidirect
114. #2614C22semidirect
116. #2609C22semidirect
117. #2602C22semidirect
118. #2601C22semidirect
119. #2600C22semidirect
120. #2592C22semidirect
121. #2592C22semidirect
122. #2582C22semidirect
123. #2567C22semidirect
124. #2561C22semidirect
125. #2560C22semidirect
126. #2560C22semidirect
127. #2560C22semidirect
128. #2557C22semidirect
129. #2557C22semidirect
130. #2557C22semidirect
131. #2556C22semidirect
132. #2556C22semidirect
134. #2555C22semidirect
135. #2554C22semidirect
136. #2553C22semidirect
137. #2547C22semidirect
138. #2540C22semidirect
139. #2534C22semidirect
140. #2521C22semidirect
141. #2521C22semidirect
142. #2519C22semidirect
143. #2512C22semidirect
144. #2499C22semidirect
145. #2483C22semidirect
146. #2482C22semidirect
147. #2480C22semidirect
148. #2478C22semidirect
149. #2476C22semidirect
150. #2474C22semidirect
151. #2474C22semidirect
152. #2472C22semidirect
153. #2472C22semidirect
154. #2466C22semidirect
155. #2466C22semidirect
156. #2464C22semidirect
157. #2461C22semidirect
158. #2461C22semidirect
159. #2459C22semidirect
160. #2459C22semidirect
161. #2459C22semidirect
162. #2459C22semidirect
163. #2456C22semidirect
164. #2456C22semidirect
165. #2452C22semidirect
166. #2452C22semidirect
167. #2451C22semidirect
168. #2451C22semidirect
169. #2447C22semidirect
170. #2447C22semidirect
173. #2439C22semidirect
174. #2439C22semidirect
175. #2439C22semidirect
176. #2439C22semidirect
177. #2436C22semidirect
178. #2435C22semidirect
180. #2432C22semidirect
182. #2429C22semidirect
183. #2428C22semidirect
184. #2427C22semidirect
185. #2426C22semidirect
186. #2424C22semidirect
187. #2422C22semidirect
190. #2420C22semidirect
191. #2420C22semidirect
192. #2417C22semidirect
193. #2416C22semidirect
194. #2415C22semidirect
195. #2415C22semidirect
196. #2415C22semidirect
197. #2415C22semidirect
199. #2414C22semidirect
200. #2414C22semidirect
201. #2414C22semidirect
202. #2412C22semidirect
203. #2411C22semidirect
204. #2411C22semidirect
205. #2410C22semidirect
206. #2409C22semidirect
208. #2408C22semidirect
210. #2407C22semidirect
211. #2407C22semidirect
212. #2404C22semidirect
214. #2399C22semidirect
215. #2397C22semidirect
217. #2392C22semidirect
218. #2392C22semidirect
219. #2388C22semidirect
220. #2357C22semidirect
221. #2354C22semidirect
222. #2342C22semidirect
223. #2342C22semidirect
224. #2328C22semidirect
225. #2327C22semidirect
226. #2324C22semidirect
227. #2323C22semidirect
228. #2323C22semidirect
229. #2321C22semidirect
230. #2319C22semidirect
231. #2319C22semidirect
232. #2317C22semidirect
233. #2310C22semidirect
235. #2308C22semidirect
236. C4×#124C22semidirect
237. C4×#124C22semidirect
238. C4×C22⋊Q8C22semidirect
239. C4×#123C22semidirect
240. C4×#121C22semidirect
241. C4×#121C22semidirect
242. #2297C22semidirect
243. #2296C22semidirect
244. #2293C22semidirect
245. #2293C22semidirect
246. #2293C22semidirect
248. #2290C22semidirect
249. #2274C22semidirect
250. C42×D4C22semidirect
251. C4×#117C22semidirect
353. #518D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
#429712
#429292
#426772
#426732
#424812
#424752
#405292
#405202
#405072
#404982
#399632
#399532
#398702
#394612
#389582
#389492
#380352
#380282
#356112
#355692
#355242
#353312
#351552
#348802
#347152
#342552