Finite Group Databasebeta

← #7699189

Subgroups — #7699189

Order 512.

5311 conjugacy classes of subgroups.

The subgroup lattice has 1507 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59952C211yesmaximal, characteristic, complemented
2#59339C212yesmaximal, complemented
3#59233C212yesmaximal, complemented
4#59226C214yesmaximal, complemented
5#52228C211yesmaximal, characteristic, complemented
6C2×#2785C212yesmaximal, complemented
7#45410C211yesmaximal, characteristic, complemented
8#45402C212yesmaximal, complemented
9#45369C211yesmaximal, characteristic, complemented
10#45133C212yesmaximal, complemented
11#43938C214yesmaximal, complemented
12#43645C214yesmaximal, complemented
13#43575C212yesmaximal, complemented
14#43265C212yesmaximal, complemented
15#38939C214yesmaximal, complemented
16#38936C212yesmaximal, complemented
17#38284C212yesmaximal, complemented
18#38280C214yesmaximal, complemented
19#37952C212yesmaximal, complemented
20#37950C214yesmaximal, complemented
21#36218C212yesmaximal, complemented
22#36164C211yesmaximal, characteristic, complemented
23#35939C212yesmaximal, complemented
24#35928C211yesmaximal, characteristic, complemented
25#35903C211yesmaximal, characteristic, complemented
26#35761C212yesmaximal, complemented
27#34292C212yesmaximal, complemented
28#34261C212yesmaximal, complemented
29#34191C212yesmaximal, complemented
30C2×#554C2211yescharacteristic
31C2×D4×Q8C2211yescharacteristic
32C2×#547C2211yescharacteristic
33C2×#546C2212yes—
34C2×#546C2212yes—
35C2×D42C2211yescharacteristic
36C2×#518C2212yes—
37C2×C4×#41C2212yes—
38#2862C2211yescharacteristic, complemented
39#2854C2214yescomplemented
40#2850C2212yescomplemented
41#2850C2212yescomplemented
42#2808C2214yescomplemented
43#2803C2214yes—
44#2803C2214yescomplemented
45#2795C2212yes—
46#2785C2212yes—
47#2785C2211yescharacteristic
48#2785C2214yes—
49#2785C2214yescomplemented
50#2785C2212yescomplemented
51#2785C2212yescomplemented
52#2785C2214yescomplemented
53#2785C2214yescomplemented
54#2785C2214yescomplemented
55#2785C2214yescomplemented
56#2785C2214yescomplemented
57#2784C2211yescharacteristic, complemented
58#2784C2212yescomplemented
59#2783C2214yescomplemented
60#2781C2212yescomplemented
61#2781C2214yescomplemented
62#2781C2214yescomplemented
63#2781C2214yescomplemented
64#2775C2212yescomplemented
65#2775C2214yescomplemented
66#2775C2214yescomplemented
67#2775C2214yescomplemented
68#2769C2211yescharacteristic, complemented
69#2756C2212yes—
70#2756C2214yescomplemented
71#2756C2214yescomplemented
72#2744C2212yescomplemented
73#2744C2214yescomplemented
74#2737C2212yescomplemented
75#2737C2214yescomplemented
76#2733C2212yescomplemented
77#2731C2214yescomplemented
78#2699C2211yescharacteristic
79#2686C2214yescomplemented
80#2686C2212yescomplemented
81#2686C2214yescomplemented
82#2660C2211yescharacteristic, complemented
83#2659C2212yescomplemented
84#2641C2211yescharacteristic
85#2640C2212yescomplemented
86#2639C2212yes—
87#2639C2214yescomplemented
88#2620C2212yes—
89#2617C2214yes—
90#2612C2212yescomplemented
91#2610C2214yescomplemented
92#2610C2214yescomplemented
93#2610C2214yescomplemented
94#2609C2212yescomplemented
95#2593C2212yescomplemented
96#2593C2214yescomplemented
97#2593C2214yescomplemented
98#2592C2212yescomplemented
99#2591C2212yes—
100#2584C2211yescharacteristic, complemented
101#2583C2212yescomplemented
102#2574C2214yescomplemented
103#2574C2214yescomplemented
104#2572C2214yescomplemented
105#2571C2212yescomplemented
106#2568C2211yescharacteristic, complemented
107#2567C2211yescharacteristic, complemented
108#2563C2214yescomplemented
109#2563C2211yescharacteristic, complemented
110#2563C2212yescomplemented
111#2562C2211yescharacteristic
112#2561C2214yescomplemented
113#2555C2212yescomplemented
114#2551C2212yescomplemented
115#2550C2212yescomplemented
116#2549C2214yescomplemented
117#2548C2211yescharacteristic
118#2545C2212yescomplemented
119#2544C2212yes—
120#2543C2214yescomplemented
121#2537C2212yes—
122#2536C2212yescomplemented
123#2534C2214yes—
124#2534C2214yescomplemented
125#2532C2214yescomplemented
126#2532C2214yescomplemented
127#2529C2214yescomplemented
128#2529C2214yescomplemented
129#2526C2214yescomplemented
130#2518C2214yescomplemented
131#2518C2214yescomplemented
132#2513C2214yescomplemented
133#2508C2214yescomplemented
134#2504C2212yescomplemented
135#2503C2212yescomplemented
136#2500C2214yescomplemented
137#2495C2214yescomplemented
138#2492C2212yescomplemented
139#2492C2212yescomplemented
140#2491C2212yes—
141#2491C2212yescomplemented
142#2491C2212yescomplemented
143#2491C2214yescomplemented
144#2490C2212yes—
145#2489C2212yescomplemented
146#2489C2212yescomplemented
147#2488C2214yescomplemented
148#2488C2214yescomplemented
149#2488C2214yescomplemented
150#2488C2214yescomplemented
151#2476C2214yescomplemented
152#2474C2214yescomplemented
153#2474C2214yescomplemented
154#2474C2214yescomplemented
155#2472C2214yes—
156#2472C2214yes—
157#2472C2214yescomplemented
158#2472C2214yescomplemented
159#2459C2214yescomplemented
160#2440C2214yescomplemented
161#2439C2214yescomplemented
162#2436C2214yescomplemented
163#2435C2212yes—
164#2434C2212yescomplemented
165#2429C2212yescomplemented
166#2428C2212yes—
167#2427C2212yes—
168#2426C2212yescomplemented
169#2425C2214yes—
170#2425C2214yescomplemented
171#2424C2214yes—
172#2424C2214yescomplemented
173#2420C2214yescomplemented
174#2416C2214yes—
175#2415C2212yes—
176#2415C2212yescomplemented
177#2414C2212yes—
178#2414C2214yescomplemented
179#2414C2212yescomplemented
180#2413C2214yescomplemented
181#2412C2214yes—
182#2411C2214yescomplemented
183#2410C2214yes—
184#2399C2211yescharacteristic, complemented
185#2398C2211yescharacteristic
186#2398C2212yescomplemented
187#2392C2212yes—
188C2×#395C2212yescomplemented
189C2×#394C2212yes—
190C2×#394C2214yes—
191C2×#393C2214yescomplemented
192#2372C2212yescomplemented
193#2367C2212yescomplemented
194#2363C2212yescomplemented
195#2362C2212yescomplemented
196#2361C2214yescomplemented
197#2359C2214yescomplemented
198#2358C2214yescomplemented
199#2357C2212yescomplemented
200#2355C2212yescomplemented
201#2355C2212yescomplemented
202#2354C2212yescomplemented
203#2354C2212yescomplemented
204#2353C2214yescomplemented
205#2352C2214yescomplemented
206#2352C2214yescomplemented
207#2352C2214yescomplemented
208#2349C2212yes—
209D4×C4⋊C4C2212yes—
210D4×C4⋊C4C2212yes—
211#2347C2212yescomplemented
212#2346C2212yescomplemented
213#2346C2212yescomplemented
214#2346C2214yescomplemented
215#2346C2212yescomplemented
216#2343C2214yescomplemented
217#2343C2214yescomplemented
218#2342C2214yescomplemented
219#2342C2214yescomplemented
220#2342C2214yescomplemented
221#2339C2212yes—
222#2339C2212yes—
223#2339C2212yes—
224D4×C22⋊C4C2212yes—
225D4×C22⋊C4C2212yes—
226D4×C22⋊C4C2212yes—
227#2326C2212yescomplemented
228#2325C2214yescomplemented
229#2323C2212yescomplemented
230#2321C2214yescomplemented
231#2320C2212yescomplemented
232#2320C2212yescomplemented
233#2319C2212yescomplemented
234#2318C2214yescomplemented
235#2318C2214yescomplemented
236#2318C2214yescomplemented
237#2314C2212yescomplemented
238#2312C2214yescomplemented
239C4×#124C2211yescharacteristic, complemented
240C4×#123C2214yescomplemented
241C4×#121C2212yescomplemented
242C4×#121C2212yescomplemented
243#2298C2212yescomplemented
244#2293C2212yescomplemented
245#2290C2212yescomplemented
246#2290C2214yescomplemented
247C2×#388C2214yescomplemented
248C2×#388C2214yescomplemented
249C2×#388C2214yescomplemented
250#2285C2212yescomplemented
251#2283C2212yescomplemented
252#2283C2214yescomplemented
253C2×#382C2214yescomplemented
254C2×#382C2212yescomplemented
255#2275C2211yescharacteristic
256#2275C2211yescharacteristic
257#2275C2212yes—
258C42×D4C2211yescharacteristic
259C22×#41C2312yes—
260C23×Q8C2312yes—
261C23×D4C2312yes—
262C23×D4C2312yes—
263#554—44no—
264D4×Q8—44no—
265#547—44no—
266#546—216no—
267#546—48no—
268D42—44no—
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2312yes—
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2311yescharacteristic
273C2×C4⋊Q8C2314yes—
274C2×#127C2311yescharacteristic
275C2×#125C2311yescharacteristic
276C2×#125C2311yescharacteristic
277C2×#124C2312yes—
278C2×#124C2312yes—
279C2×#124C2311yescharacteristic
280C2×#124C2312yes—
281C2×#124C2314yes—
282C2×#124C2314yes—
283C2×#124C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2314yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×#121C2314yes—
296C2×#121C2312yes—
297C2×#121C2312yes—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2314yes—
302C2×#121C2312yes—
303C2×#121C2314yes—
304C2×#121C2314yes—
305C2×#120C2314yes—
306C2×#120C2314yes—
307C2×#120C2314yes—
308#518—216no—
309C4×#41—216no—
310C2×C4×Q8C2312yes—
311C2×C4×Q8C2312yes—
312C2×C4×Q8C2311yescharacteristic
313C2×C4×Q8C2311yescharacteristic
314C2×C4×D4C2314yes—
315C2×C4×D4C2314yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2314yes—
318C2×C4×D4C2314yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2312yes—
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2312yes—
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2312yes—
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2314yes—
331C2×C4×D4C2312yes—
332C2×#117C2312yes—
333C2×#117C2314yes—
334C2×#117C2312yes—
335C2×#117C2312yes—
336C2×#117C2314yes—
337C2×#117C2314yes—
338C2×#117C2314yes—
339C22×C4⋊C4C2312yes—
340C22×C4⋊C4C2312yes—
341C22×C4⋊C4C2314yes—
342C22×C4⋊C4C2314yes—
343C22×C22⋊C4C2314yes—
344C22×C22⋊C4C2314yes—
345C22×C22⋊C4C2314yes—
346C22×C22⋊C4C2314yes—
347C22×C22⋊C4C2314yes—
348C22×C22⋊C4C2314yes—
349C22×C22⋊C4C2314yes—
350C22×C42C2312yes—
351C22×C42C2314yes—
352C22×C42C2312yes—
353#400C2312yes—
354#400C2312yes—
355#400C2312yes—
356#400C2311yescharacteristic
357#400C2314yes—
358#400C2314yes—
359#400C2311yescharacteristic
360#400C2314yes—
361#400C2314yes—
362#400C2312yes—
363#400C2312yes—
364#398C2314yes—
365#398C2314yes—
366#398C2311yescharacteristic
367#398C2312yes—
368#398C2311yescharacteristic
369#398C2314yes—
370#398C2314yes—
371#398C2312yes—
372#398C2312yes—
373#397C2312yes—
374#397C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2312yes—
379#397C2314yes—
380#397C2314yes—
381#397C2312yes—
382#397C2312yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#396C2314yes—
387#396C2314yes—
388#396C2314yes—
389#396C2312yes—
390#396C2312yes—
391#396C2314yes—
392#396C2314yes—
393#396C2314yes—
394#395C2312yes—
395#395C2312yes—
396#395C2312yes—
397#395C2314yes—
398#395C2312yes—
399#395C2314yes—
400#395C2311yescharacteristic
401#395C2312yes—
402#395C2314yes—
403#395C2312yes—
404#395C2311yescharacteristic
405#394C2312yes—
406#394C2314yes—
407#394C2312yes—
408#394C2312yes—
409#394C2312yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2312yes—
418#394C2312yes—
419#394C2314yes—
420#394C2314yes—
421#394C2312yes—
422#394C2311yescharacteristic
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2312yes—
431#394C2311yescharacteristic
432#394C2312yes—
433#394C2312yes—
434#394C2314yes—
435#394C2314yes—
436#393C2314yes—
437#393C2314yes—
438#393C2314yes—
439#393C2314yes—
440#393C2314yes—
441#393C2314yes—
442#393C2314yes—
443#393C2314yes—
444#393C2314yes—
445#393C2312yes—
446#393C2314yes—
447#393C2314yes—
448#393C2312yes—
449#393C2312yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#392C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2314yes—
459#391C2314yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2314yes—
466#391C2311yescharacteristic
467#390C2314yes—
468#390C2312yes—
469#390C2314yes—
470#390C2314yes—
471#390C2312yes—
472#390C2312yes—
473#390C2314yes—
474#390C2314yes—
475#390C2312yes—
476#390C2312yes—
477#390C2314yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2314yes—
482#390C2312yes—
483#390C2311yescharacteristic
484#389C2312yes—
485#389C2312yes—
486#389C2314yes—
487#389C2314yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2314yes—
493#389C2314yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2312yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2312yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2312yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2312yes—
540#388C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2312yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2312yes—
569#387C2312yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2312yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2312yes—
600#386C2312yes—
601#386C2312yes—
602#386C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2312yes—
611#385C2314yes—
612#385C2314yes—
613#385C2312yes—
614#384C2312yes—
615#384C2312yes—
616#384C2312yes—
617#383C2312yes—
618#383C2314yes—
619#383C2314yes—
620#383C2314yes—
621#383C2312yes—
622#382C2314yes—
623#382C2314yes—
624#382C2312yes—
625#382C2314yes—
626#382C2312yes—
627#382C2312yes—
628#382C2314yes—
629#382C2314yes—
630#382C2312yes—
631#382C2314yes—
632#382C2312yes—
633#382C2314yes—
634#382C2314yes—
635#382C2314yes—
636#382C2314yes—
637#382C2312yes—
638#382C2314yes—
639#382C2311yescharacteristic
640#382C2312yes—
641#381C2314yes—
642#381C2314yes—
643#381C2314yes—
644#381C2314yes—
645#381C2312yes—
646#381C2312yes—
647#381C2314yes—
648#380C2312yes—
649#380C2312yes—
650#380C2312yes—
651#380C2312yes—
652#380C2312yes—
653#380C2314yes—
654#380C2314yes—
655#380C2314yes—
656#380C2312yes—
657#380C2312yes—
658#380C2314yes—
659#380C2314yes—
660#380C2314yes—
661#380C2314yes—
662#380C2314yes—
663#380C2312yes—
664#380C2312yes—
665#379C2314yes—
666#379C2314yes—
667#379C2314yes—
668C4×C4⋊C4C2311yescharacteristic
669C4×C4⋊C4C2311yescharacteristic
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2314yes—
672C4×C4⋊C4C2311yescharacteristic
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2314yes—
676C4×C4⋊C4C2314yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706#376C2312yes—
707#376C2311yescharacteristic
708#376C2311yescharacteristic
709#376C2314yes—
710#376C2314yes—
711#376C2314yes—
712C2×#95C2312yes—
713C2×#95C2314yes—
714C2×#95C2312yes—
715C2×#95C2314yes—
716C2×#95C2314yes—
717C2×#95C2314yes—
718C2×#95C2314yes—
719C43C2311yescharacteristic
720C25C2414yes—
721C2×#41—28no—
722C2×#41—28no—
723C2×#41—28no—
724C22×Q8—44no—
725C22×Q8—84no—
726C22×Q8C2412yes—
727C22×Q8C2411yescharacteristic
728C22×Q8C2411yescharacteristic
729C22×Q8C2412yes—
730C22×Q8C2412yes—
731C22×Q8C2414yes—
732C22×D4—28no—
733C22×D4—28no—
734C22×D4—28no—
735C22×D4—44no—
736C22×D4—84no—
737C22×D4C2414yes—
738C22×D4C2414yes—
739C22×D4C2412yes—
740C22×D4C2412yes—
741C22×D4C2414yes—
742C22×D4C2411yescharacteristic
743C22×D4C2412yes—
744C22×D4C2411yescharacteristic
745C22×D4C2412yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2412yes—
749C22×D4C2411yescharacteristic
750C23×C4C2414yes—
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2414yes—
755C23×C4C2414yes—
756C23×C4C2414yes—
757C23×C4C2412yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2414yes—
764C4⋊Q8—44no—
765C4⋊Q8—42no—
766C4⋊Q8—42no—
767C4⋊Q8—42no—
768C4⋊Q8—84no—
769#127—42no—
770#125—42no—
771#125—42no—
772#124—28no—
773#124—42no—
774#124—44no—
775#124—44no—
776#124—84no—
777#124—84no—
778#124—84no—
779#123—216no—
780#123—48no—
781#123—48no—
782C22⋊Q8—28no—
783C22⋊Q8—44no—
784C22⋊Q8—48no—
785C22⋊Q8—44no—
786C22⋊Q8—44no—
787C22⋊Q8—44no—
788C22⋊Q8—44no—
789C22⋊Q8—44no—
790#121—216no—
791#121—28no—
792#121—44no—
793#121—44no—
794#121—44no—
795#121—44no—
796#121—48no—
797#121—44no—
798#121—84no—
799#121—84no—
800#120—216no—
801#120—48no—
802#120—48no—
803C4×Q8—28no—
804C4×Q8—28no—
805C4×Q8—42no—
806C4×Q8—42no—
807C4×D4—28no—
808C4×D4—28no—
809C4×D4—24no—
810C4×D4—28no—
811C4×D4—24no—
812C4×D4—24no—
813C4×D4—216no—
814C4×D4—216no—
815C4×D4—28no—
816C4×D4—216no—
817C4×D4—216no—
818C4×D4—28no—
819C4×D4—28no—
820C4×D4—42no—
821C4×D4—44no—
822C4×D4—42no—
823C4×D4—84no—
824C4×D4#41116yes—
825#117—28no—
826#117—28no—
827#117—216no—
828#117—28no—
829#117—48no—
830#117—84no—
831#117—84no—
832C2×C4⋊C4—44no—
833C2×C4⋊C4—44no—
834C2×C4⋊C4—84no—
835C2×C4⋊C4—84no—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C22⋊C4—216no—
885C2×C22⋊C4—216no—
886C2×C22⋊C4—216no—
887C2×C22⋊C4—48no—
888C2×C22⋊C4—48no—
889C2×C22⋊C4—84no—
890C2×C22⋊C4—84no—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C42—216no—
951C2×C42—28no—
952C2×C42—44no—
953C2×C42C2414yes—
954C2×C42C2412yes—
955C2×C42C2412yes—
956C2×C42C2412yes—
957C2×C42C2414yes—
958C2×C42C2412yes—
959C2×C42C2411yescharacteristic
960C2×C42C2411yescharacteristic
961C2×C42C2411yescharacteristic
962C2×C42C2412yes—
963C2×C42C2414yes—
964C2×C42C2414yes—
965C2×C42C2411yescharacteristic
966C2×C42C2412yes—
967C2×C42C2412yes—
968C2×C42C2414yes—
969C2×C42C2414yes—
970C2×C42C2414yes—
971C2×C42C2414yes—
972C2×C42C2414yes—
973C2×C42C2412yes—
974C2×C42C2411yescharacteristic
975C2×C42C2412yes—
976C2×C42C2414yes—
977C2×C42C2412yes—
978#95C2411yescharacteristic
979#95C2412yes—
980#95C2411yescharacteristic
981#95C2412yes—
982#95C2412yes—
983#95C2412yes—
984#95C2412yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2412yes—
993#95C2414yes—
994#95C2414yes—
995#95C2412yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2411yescharacteristic
1010#95C2412yes—
1011#95C2412yes—
1012#95C2414yes—
1013#95C2412yes—
1014#95C2411yescharacteristic
1015#95C2412yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041C24—28no—
1042C24—28no—
1043C24—28no—
1044C24—44no—
1045C24—44no—
1046C24—44no—
1047C24—44no—
1048C24C2512yes—
1049C24C2514yes—
1050C24C2512yes—
1051C24C2512yes—
1052#41—432no—
1053C2×Q8—24no—
1054C2×Q8—24no—
1055C2×Q8—24no—
1056C2×Q8—22no—
1057C2×Q8—41no—
1058C2×Q8—42no—
1059C2×Q8—41no—
1060C2×Q8—44no—
1061C2×Q8—42no—
1062C2×Q8—44no—
1063C2×Q8—44no—
1064C2×Q8—44no—
1065C2×Q8—41no—
1066C2×Q8—42no—
1067C2×Q8—44no—
1068C2×Q8—816no—
1069C2×D4—28no—
1070C2×D4—28no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—28no—
1074C2×D4—28no—
1075C2×D4—24no—
1076C2×D4—24no—
1077C2×D4—24no—
1078C2×D4—28no—
1079C2×D4—24no—
1080C2×D4—22no—
1081C2×D4—41no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—41no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—41no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—432no—
1104C2×D4—816no—
1105C2×D4C2×#4118yes—
1106C2×D4H(5,𝔽2)14yes—
1107C22×C4—28no—
1108C22×C4—28no—
1109C22×C4—28no—
1110C22×C4—24no—
1111C22×C4—28no—
1112C22×C4—28no—
1113C22×C4—28no—
1114C22×C4—24no—
1115C22×C4—24no—
1116C22×C4—24no—
1117C22×C4—24no—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—24no—
1121C22×C4—24no—
1122C22×C4—24no—
1123C22×C4—24no—
1124C22×C4—24no—
1125C22×C4—28no—
1126C22×C4—28no—
1127C22×C4—44no—
1128C22×C4—42no—
1129C22×C4—44no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—42no—
1143C22×C4—44no—
1144C22×C4—42no—
1145C22×C4—44no—
1146C22×C4C2×#41116yes—
1147C22×C4C2512yes—
1148C22×C4C2512yes—
1149C22×C4C2511yescharacteristic
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2514yes—
1153C22×C4C2512yes—
1154C22×C4C2514yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2511yescharacteristic
1158C22×C4C2511yescharacteristic
1159C22×C4C2514yes—
1160C22×C4C2511yescharacteristic
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2514yes—
1165C22×C4C2512yes—
1166C22×C4C2511yescharacteristic
1167C22×C4C2514yes—
1168C22×C4C2512yes—
1169C22×C4C2512yes—
1170C22×C4C2511yescharacteristic
1171C22×C4C2511yescharacteristic
1172C4⋊C4—24no—
1173C4⋊C4—24no—
1174C4⋊C4—24no—
1175C4⋊C4—24no—
1176C4⋊C4—28no—
1177C4⋊C4—28no—
1178C4⋊C4—24no—
1179C4⋊C4—28no—
1180C4⋊C4—22no—
1181C4⋊C4—24no—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—24no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—42no—
1188C4⋊C4—44no—
1189C4⋊C4—42no—
1190C4⋊C4—42no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—42no—
1202C4⋊C4—42no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—41no—
1206C4⋊C4—42no—
1207C4⋊C4—41no—
1208C4⋊C4—42no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—42no—
1214C4⋊C4—42no—
1215C4⋊C4—44no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4C2×#4118yes—
1220C22⋊C4—28no—
1221C22⋊C4—28no—
1222C22⋊C4—24no—
1223C22⋊C4—28no—
1224C22⋊C4—24no—
1225C22⋊C4—24no—
1226C22⋊C4—24no—
1227C22⋊C4—28no—
1228C22⋊C4—24no—
1229C22⋊C4—24no—
1230C22⋊C4—28no—
1231C22⋊C4—28no—
1232C22⋊C4—28no—
1233C22⋊C4—28no—
1234C22⋊C4—28no—
1235C22⋊C4—28no—
1236C22⋊C4—24no—
1237C22⋊C4—28no—
1238C22⋊C4—24no—
1239C22⋊C4—28no—
1240C22⋊C4—42no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—42no—
1268C22⋊C4—44no—
1269C22⋊C4—42no—
1270C22⋊C4—44no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4C2×#41116yes—
1279C42—24no—
1280C42—28no—
1281C42—24no—
1282C42—24no—
1283C42—28no—
1284C42—28no—
1285C42—28no—
1286C42—24no—
1287C42—24no—
1288C42—22no—
1289C42—22no—
1290C42—22no—
1291C42—22no—
1292C42—24no—
1293C42—44no—
1294C42—42no—
1295C42—41no—
1296C42—44no—
1297C42—42no—
1298C42—44no—
1299C42—44no—
1300C42—44no—
1301C42—44no—
1302C42—42no—
1303C42C2×#4118yes—
1304C23—22no—
1305C23—24no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—24no—
1310C23—22no—
1311C23—24no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—24no—
1316C23—24no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—24no—
1322C23—22no—
1323C23—24no—
1324C23—22no—
1325C23—22no—
1326C23—24no—
1327C23—22no—
1328C23—416no—
1329C23—88no—
1330C23—88no—
1331C23—88no—
1332C23—88no—
1333C23—88no—
1334C23—88no—
1335C23C22×#4118yes—
1336C23C2×H(5,𝔽2)14yes—
1337C23C2611yescharacteristic
1338Q8—44no—
1339Q8—48no—
1340Q8—82no—
1341Q8—84no—
1342Q8—88no—
1343Q8—162no—
1344D4—44no—
1345D4—416no—
1346D4—416no—
1347D4—48no—
1348D4—84no—
1349D4—88no—
1350D4—82no—
1351D4—84no—
1352D4—84no—
1353D4—88no—
1354D4—164no—
1355D4—162no—
1356D4#555116yes—
1357C2×C4—21no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—24no—
1361C2×C4—22no—
1362C2×C4—24no—
1363C2×C4—21no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—24no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—24no—
1371C2×C4—24no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—22no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—24no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—24no—
1391C2×C4—22no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—21no—
1397C2×C4—22no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—24no—
1402C2×C4—24no—
1403C2×C4—24no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—24no—
1408C2×C4—24no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—416no—
1421C2×C4—48no—
1422C2×C4—48no—
1423C2×C4—416no—
1424C2×C4—48no—
1425C2×C4—48no—
1426C2×C4—88no—
1427C2×C4—84no—
1428C2×C4—88no—
1429C2×C4—88no—
1430C2×C4—88no—
1431C2×C4—84no—
1432C2×C4—88no—
1433C2×C4—84no—
1434C2×C4C22×#4114yes—
1435C2×C4C22×#4118yes—
1436C2×C4C22×#4114yes—
1437C2×C4C22×#4114yes—
1438C2×C4C2×H(5,𝔽2)12yes—
1439C2×C4#58512yes—
1440C22—28no—
1441C22—24no—
1442C22—28no—
1443C22—24no—
1444C22—42no—
1445C22—44no—
1446C22—42no—
1447C22—42no—
1448C22—44no—
1449C22—42no—
1450C22—42no—
1451C22—44no—
1452C22—42no—
1453C22—42no—
1454C22—44no—
1455C22—42no—
1456C22—44no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—44no—
1462C22—42no—
1463C22—42no—
1464C22—44no—
1465C22—1616no—
1466C22C2×#55518yes—
1467C22C23×#4112yes—
1468C22C22×H(5,𝔽2)11yescharacteristic
1469C22C2×#58511yescharacteristic
1470C22H(7,𝔽2)12yes—
1471C222−1+611yescharacteristic
1472C4—24no—
1473C4—24no—
1474C4—28no—
1475C4—22no—
1476C4—44no—
1477C4—42no—
1478C4—44no—
1479C4—42no—
1480C4—41no—
1481C4—42no—
1482C4—41no—
1483C4—42no—
1484C4—44no—
1485C4—42no—
1486C4—41no—
1487C4—42no—
1488C4—42no—
1489C4—42no—
1490C4—42no—
1491C4—41no—
1492C4—41no—
1493C4—42no—
1494C4—42no—
1495C4—44no—
1496C4C2×#55514yes—
1497C2—28no—
1498C2—82no—
1499C2—84no—
1500C2—82no—
1501C2C22×#55511yescharacteristic
1502C2#6284712yes—
1503C2#6289811yescharacteristic
1504C2#6299412yes—
1505C2#6304511yescharacteristic
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. #59339C2semidirect
3. #59233C2semidirect
4. #59226C2semidirect
5. #52228C2semidirect
6. C2×#2785C2semidirect
7. #45410C2semidirect
8. #45402C2semidirect
9. #45369C2semidirect
10. #45133C2semidirect
11. #43938C2semidirect
12. #43645C2semidirect
13. #43575C2semidirect
14. #43265C2semidirect
15. #38939C2semidirect
16. #38936C2semidirect
17. #38284C2semidirect
18. #38280C2semidirect
19. #37952C2semidirect
20. #37950C2semidirect
21. #36218C2semidirect
22. #36164C2semidirect
23. #35939C2semidirect
24. #35928C2semidirect
25. #35903C2semidirect
26. #35761C2semidirect
27. #34292C2semidirect
28. #34261C2semidirect
29. #34191C2semidirect
38. #2862C22semidirect
39. #2854C22semidirect
40. #2850C22semidirect
41. #2850C22semidirect
42. #2808C22semidirect
44. #2803C22semidirect
49. #2785C22semidirect
50. #2785C22semidirect
51. #2785C22semidirect
52. #2785C22semidirect
53. #2785C22semidirect
54. #2785C22semidirect
55. #2785C22semidirect
56. #2785C22semidirect
57. #2784C22semidirect
58. #2784C22semidirect
59. #2783C22semidirect
60. #2781C22semidirect
61. #2781C22semidirect
62. #2781C22semidirect
63. #2781C22semidirect
64. #2775C22semidirect
65. #2775C22semidirect
66. #2775C22semidirect
67. #2775C22semidirect
68. #2769C22semidirect
70. #2756C22semidirect
71. #2756C22semidirect
72. #2744C22semidirect
73. #2744C22semidirect
74. #2737C22semidirect
75. #2737C22semidirect
76. #2733C22semidirect
77. #2731C22semidirect
79. #2686C22semidirect
80. #2686C22semidirect
81. #2686C22semidirect
82. #2660C22semidirect
83. #2659C22semidirect
85. #2640C22semidirect
87. #2639C22semidirect
90. #2612C22semidirect
91. #2610C22semidirect
92. #2610C22semidirect
93. #2610C22semidirect
94. #2609C22semidirect
95. #2593C22semidirect
96. #2593C22semidirect
97. #2593C22semidirect
98. #2592C22semidirect
100. #2584C22semidirect
101. #2583C22semidirect
102. #2574C22semidirect
103. #2574C22semidirect
104. #2572C22semidirect
105. #2571C22semidirect
106. #2568C22semidirect
107. #2567C22semidirect
108. #2563C22semidirect
109. #2563C22semidirect
110. #2563C22semidirect
112. #2561C22semidirect
113. #2555C22semidirect
114. #2551C22semidirect
115. #2550C22semidirect
116. #2549C22semidirect
118. #2545C22semidirect
120. #2543C22semidirect
122. #2536C22semidirect
124. #2534C22semidirect
125. #2532C22semidirect
126. #2532C22semidirect
127. #2529C22semidirect
128. #2529C22semidirect
129. #2526C22semidirect
130. #2518C22semidirect
131. #2518C22semidirect
132. #2513C22semidirect
133. #2508C22semidirect
134. #2504C22semidirect
135. #2503C22semidirect
136. #2500C22semidirect
137. #2495C22semidirect
138. #2492C22semidirect
139. #2492C22semidirect
141. #2491C22semidirect
142. #2491C22semidirect
143. #2491C22semidirect
145. #2489C22semidirect
146. #2489C22semidirect
147. #2488C22semidirect
148. #2488C22semidirect
149. #2488C22semidirect
150. #2488C22semidirect
151. #2476C22semidirect
152. #2474C22semidirect
153. #2474C22semidirect
154. #2474C22semidirect
157. #2472C22semidirect
158. #2472C22semidirect
159. #2459C22semidirect
160. #2440C22semidirect
161. #2439C22semidirect
162. #2436C22semidirect
164. #2434C22semidirect
165. #2429C22semidirect
168. #2426C22semidirect
170. #2425C22semidirect
172. #2424C22semidirect
173. #2420C22semidirect
176. #2415C22semidirect
178. #2414C22semidirect
179. #2414C22semidirect
180. #2413C22semidirect
182. #2411C22semidirect
184. #2399C22semidirect
186. #2398C22semidirect
188. C2×#395C22semidirect
191. C2×#393C22semidirect
192. #2372C22semidirect
193. #2367C22semidirect
194. #2363C22semidirect
195. #2362C22semidirect
196. #2361C22semidirect
197. #2359C22semidirect
198. #2358C22semidirect
199. #2357C22semidirect
200. #2355C22semidirect
201. #2355C22semidirect
202. #2354C22semidirect
203. #2354C22semidirect
204. #2353C22semidirect
205. #2352C22semidirect
206. #2352C22semidirect
207. #2352C22semidirect
211. #2347C22semidirect
212. #2346C22semidirect
213. #2346C22semidirect
214. #2346C22semidirect
215. #2346C22semidirect
216. #2343C22semidirect
217. #2343C22semidirect
218. #2342C22semidirect
219. #2342C22semidirect
220. #2342C22semidirect
227. #2326C22semidirect
228. #2325C22semidirect
229. #2323C22semidirect
230. #2321C22semidirect
231. #2320C22semidirect
232. #2320C22semidirect
233. #2319C22semidirect
234. #2318C22semidirect
235. #2318C22semidirect
236. #2318C22semidirect
237. #2314C22semidirect
238. #2312C22semidirect
239. C4×#124C22semidirect
240. C4×#123C22semidirect
241. C4×#121C22semidirect
242. C4×#121C22semidirect
243. #2298C22semidirect
244. #2293C22semidirect
245. #2290C22semidirect
246. #2290C22semidirect
247. C2×#388C22semidirect
248. C2×#388C22semidirect
249. C2×#388C22semidirect
250. #2285C22semidirect
251. #2283C22semidirect
252. #2283C22semidirect
253. C2×#382C22semidirect
254. C2×#382C22semidirect

Maximal subgroups

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

subgroupindex
#599522
#593392
#592332
#592262
#522282
C2×#27852
#454102
#454022
#453692
#451332
#439382
#436452
#435752
#432652
#389392
#389362
#382842
#382802
#379522
#379502
#362182
#361642
#359392
#359282
#359032
#357612
#342922
#342612
#341912