Finite Group Databasebeta

← #7647373

Subgroups — #7647373

Order 512.

4698 conjugacy classes of subgroups.

The subgroup lattice has 1499 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41398C214yesmaximal, complemented
2#41397C214yesmaximal, complemented
3#40641C214yesmaximal, complemented
4#40639C214yesmaximal, complemented
5#38112C212yesmaximal, complemented
6#38110C212yesmaximal, complemented
7#38074C212yesmaximal, complemented
8#38073C212yesmaximal, complemented
9#37884C212yesmaximal, complemented
10#37882C212yesmaximal, complemented
11#37858C212yesmaximal, complemented
12#37857C212yesmaximal, complemented
13#37511C212yesmaximal, complemented
14#37508C212yesmaximal, complemented
15#37019C212yesmaximal, complemented
16#37016C212yesmaximal, complemented
17#37013C212yesmaximal, complemented
18#37010C212yesmaximal, complemented
19#35457C214yesmaximal, complemented
20#35164C212yesmaximal, complemented
21#35161C212yesmaximal, complemented
22#35100C214yesmaximal, complemented
23#35076C211yesmaximal, characteristic
24#35033C211yesmaximal, characteristic, complemented
25#34809C211yesmaximal, characteristic, complemented
26C2×#2500C211yesmaximal, characteristic, complemented
27#34246C211yesmaximal, characteristic, complemented
28#34109C211yesmaximal, characteristic, complemented
29#34057C211yesmaximal, characteristic, complemented
30C22×#121C2211yescharacteristic
31C22×C4×D4C2211yescharacteristic
32C22×#117C2211yescharacteristic
33#2866C2214yescomplemented
34#2865C2214yescomplemented
35#2861C2214yescomplemented
36#2860C2214yescomplemented
37#2857C2212yescomplemented
38#2854C2212yes—
39#2851C2212yescomplemented
40#2847C2212yes—
41#2827C2214yescomplemented
42#2827C2214yescomplemented
43#2826C2214yescomplemented
44#2824C2214yescomplemented
45#2797C2214yescomplemented
46#2796C2214yescomplemented
47#2794C2214yescomplemented
48#2794C2214yescomplemented
49#2786C2214yescomplemented
50#2773C2214yescomplemented
51#2767C2214yescomplemented
52#2762C2214yescomplemented
53#2761C2214yescomplemented
54#2754C2214yescomplemented
55#2752C2214yescomplemented
56#2751C2214yescomplemented
57#2751C2214yescomplemented
58#2750C2214yescomplemented
59#2746C2214yescomplemented
60#2743C2214yescomplemented
61#2743C2214yescomplemented
62#2740C2214yescomplemented
63#2740C2214yescomplemented
64#2737C2214yescomplemented
65#2730C2214yescomplemented
66#2721C2214yescomplemented
67#2721C2214yescomplemented
68#2707C2214yescomplemented
69#2705C2214yescomplemented
70#2697C2214yescomplemented
71#2695C2214yescomplemented
72#2694C2214yescomplemented
73#2687C2214yescomplemented
74#2685C2214yescomplemented
75#2685C2214yescomplemented
76#2684C2214yescomplemented
77#2654C2214yescomplemented
78#2653C2214yescomplemented
79#2651C2214yescomplemented
80#2651C2214yescomplemented
81#2650C2214yescomplemented
82#2649C2214yescomplemented
83#2648C2214yescomplemented
84#2648C2214yescomplemented
85#2647C2212yescomplemented
86#2647C2212yescomplemented
87#2644C2212yescomplemented
88#2644C2212yescomplemented
89#2638C2214yescomplemented
90#2636C2214yescomplemented
91#2635C2214yes—
92#2633C2214yescomplemented
93#2630C2214yescomplemented
94#2629C2212yescomplemented
95#2628C2212yescomplemented
96#2626C2214yes—
97#2624C2212yescomplemented
98#2624C2212yescomplemented
99#2608C2212yescomplemented
100#2608C2212yescomplemented
101#2607C2212yescomplemented
102#2607C2212yescomplemented
103#2591C2212yes—
104#2578C2214yescomplemented
105#2577C2214yescomplemented
106#2576C2214yescomplemented
107#2575C2214yescomplemented
108#2572C2214yescomplemented
109#2560C2214yescomplemented
110#2558C2214yescomplemented
111#2553C2214yescomplemented
112#2539C2212yes—
113#2532C2214yescomplemented
114#2531C2214yescomplemented
115#2531C2214yescomplemented
116#2530C2214yescomplemented
117#2529C2214yescomplemented
118#2527C2214yescomplemented
119#2526C2214yescomplemented
120#2526C2214yescomplemented
121#2525C2214yescomplemented
122#2521C2214yescomplemented
123#2519C2214yescomplemented
124#2516C2214yescomplemented
125#2515C2214yescomplemented
126#2515C2214yescomplemented
127#2513C2212yescomplemented
128#2512C2212yescomplemented
129#2509C2212yescomplemented
130#2508C2212yescomplemented
131#2506C2212yescomplemented
132#2506C2212yescomplemented
133#2500C2212yes—
134#2500C2212yes—
135#2500C2212yes—
136#2500C2212yes—
137#2500C2212yescomplemented
138#2500C2212yescomplemented
139#2500C2212yescomplemented
140#2500C2212yescomplemented
141#2498C2214yes—
142#2496C2212yescomplemented
143#2496C2212yescomplemented
144#2495C2214yescomplemented
145#2495C2212yescomplemented
146#2494C2212yescomplemented
147#2493C2214yescomplemented
148#2491C2212yescomplemented
149#2490C2212yescomplemented
150#2489C2214yescomplemented
151#2488C2214yes—
152#2487C2212yes—
153#2487C2212yes—
154#2486C2212yes—
155#2485C2212yescomplemented
156#2485C2212yescomplemented
157#2484C2212yescomplemented
158#2483C2212yes—
159#2483C2214yescomplemented
160#2482C2214yescomplemented
161#2482C2212yescomplemented
162#2481C2214yes—
163#2481C2214yes—
164#2480C2214yescomplemented
165#2473C2214yescomplemented
166#2473C2214yescomplemented
167#2472C2214yes—
168#2467C2214yescomplemented
169#2466C2214yescomplemented
170#2460C2214yescomplemented
171#2459C2214yescomplemented
172#2454C2212yescomplemented
173#2452C2212yescomplemented
174#2441C2212yescomplemented
175#2441C2212yescomplemented
176#2439C2212yescomplemented
177#2439C2212yescomplemented
178#2438C2214yescomplemented
179#2437C2214yescomplemented
180#2422C2212yescomplemented
181#2420C2212yescomplemented
182#2414C2212yes—
183#2414C2212yes—
184#2412C2214yes—
185#2412C2214yes—
186#2411C2214yes—
187#2408C2212yes—
188#2405C2212yes—
189#2405C2212yes—
190#2403C2212yes—
191#2395C2214yescomplemented
192C2×#394C2214yes—
193#2364C2214yescomplemented
194#2363C2212yes—
195#2363C2212yes—
196#2347C2212yescomplemented
197#2346C2212yescomplemented
198#2345C2212yescomplemented
199#2345C2212yescomplemented
200#2344C2212yescomplemented
201#2343C2214yescomplemented
202#2342C2214yes—
203D4×C22⋊C4C2214yes—
204D4×C22⋊C4C2212yescomplemented
205#2333C2212yes—
206#2333C2212yes—
207#2331C2212yescomplemented
208#2330C2212yescomplemented
209#2329C2214yescomplemented
210#2324C2212yescomplemented
211#2324C2212yescomplemented
212#2321C2214yes—
213#2319C2212yescomplemented
214#2319C2212yescomplemented
215#2318C2212yes—
216#2318C2212yes—
217#2318C2212yescomplemented
218#2318C2212yescomplemented
219#2315C2212yes—
220#2314C2212yescomplemented
221#2314C2212yescomplemented
222#2313C2211yescharacteristic, complemented
223#2313C2211yescharacteristic, complemented
224#2312C2211yescharacteristic, complemented
225#2312C2211yescharacteristic, complemented
226#2312C2212yescomplemented
227#2308C2212yes—
228C4×#123C2214yes—
229C4×#121C2212yescomplemented
230C4×#121C2212yescomplemented
231#2298C2212yescomplemented
232#2298C2212yescomplemented
233#2296C2211yescharacteristic, complemented
234#2296C2211yescharacteristic, complemented
235#2296C2211yescharacteristic, complemented
236#2296C2211yescharacteristic, complemented
237C2×#390C2211yescharacteristic, complemented
238C2×#390C2211yescharacteristic, complemented
239#2290C2212yes—
240#2290C2212yes—
241#2290C2212yescomplemented
242#2290C2212yescomplemented
243C2×#388C2214yescomplemented
244C2×#384C2211yescharacteristic, complemented
245#2283C2212yescomplemented
246#2283C2212yescomplemented
247C2×#382C2211yescharacteristic, complemented
248#2280C2211yescharacteristic
249#2280C2211yescharacteristic
250#2280C2212yescomplemented
251#2280C2211yescharacteristic, complemented
252#2280C2211yescharacteristic, complemented
253#2273C2212yescomplemented
254C4×#117C2212yescomplemented
255C4×#117C2211yescharacteristic, complemented
256C4×#117C2211yescharacteristic, complemented
257C2×C4×C22⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2211yescharacteristic
259C23×D4C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C24×C4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C2×C4⋊Q8C2312yes—
265C2×#126C2314yes—
266C2×#126C2314yes—
267C2×#126C2314yes—
268C2×#125C2312yes—
269C2×#125C2314yes—
270C2×#125C2314yes—
271C2×#124C2314yes—
272C2×#123C2314yes—
273C2×#123C2314yes—
274C2×#123C2314yes—
275C2×C22⋊Q8C2314yes—
276C2×C22⋊Q8C2314yes—
277C2×#121—28no—
278C2×#121C2312yes—
279C2×#121C2312yes—
280C2×#121C2312yes—
281C2×#121C2312yes—
282C2×#121C2312yes—
283C2×#121C2312yes—
284C2×#120C2314yes—
285C2×#120C2314yes—
286C2×C4×D4—28no—
287C2×C4×D4C2312yes—
288C2×C4×D4C2312yes—
289C2×C4×D4C2312yes—
290C2×C4×D4C2312yes—
291C2×C4×D4C2312yes—
292C2×C4×D4C2312yes—
293C2×C4×D4C2314yes—
294C2×C4×D4C2314yes—
295C2×#117—28no—
296C2×#117C2312yes—
297C2×#117C2311yescharacteristic
298C2×#117C2311yescharacteristic
299C2×#117C2312yes—
300C2×#117C2311yescharacteristic
301C2×#117C2311yescharacteristic
302C2×#117C2312yes—
303C2×#117C2312yes—
304C2×#117C2314yes—
305C2×#117C2311yescharacteristic
306C2×#117C2311yescharacteristic
307C2×#117C2311yescharacteristic
308C2×#117C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2314yes—
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2312yes—
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2312yes—
318C22×C22⋊C4C2312yes—
319C22×C22⋊C4C2312yes—
320C22×C22⋊C4C2314yes—
321C22×C22⋊C4C2314yes—
322C22×C22⋊C4C2314yes—
323C22×C42C2311yescharacteristic
324C22×C42C2312yes—
325C22×C42C2311yescharacteristic
326C22×C42C2311yescharacteristic
327C22×C42C2311yescharacteristic
328C22×C42C2311yescharacteristic
329#401C2314yes—
330#400C2314yes—
331#400C2314yes—
332#400C2314yes—
333#400C2314yes—
334#400C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2314yes—
338#400C2314yes—
339#400C2314yes—
340#400C2314yes—
341#400C2314yes—
342#400C2314yes—
343#400C2314yes—
344#400C2314yes—
345#399C2314yes—
346#399C2314yes—
347#399C2314yes—
348#399C2314yes—
349#399C2314yes—
350#399C2314yes—
351#399C2314yes—
352#399C2314yes—
353#398C2314yes—
354#398C2314yes—
355#398C2314yes—
356#398C2314yes—
357#398C2314yes—
358#398C2314yes—
359#398C2314yes—
360#398C2314yes—
361#398C2314yes—
362#398C2314yes—
363#397C2314yes—
364#397C2314yes—
365#397C2314yes—
366#397C2314yes—
367#397C2314yes—
368#397C2314yes—
369#397C2314yes—
370#397C2314yes—
371#397C2314yes—
372#397C2314yes—
373#397C2314yes—
374#397C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#396C2314yes—
385#396C2314yes—
386#396C2314yes—
387#396C2314yes—
388#396C2314yes—
389#396C2314yes—
390#396C2314yes—
391#396C2314yes—
392#396C2314yes—
393#396C2314yes—
394#396C2314yes—
395#395C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#393C2314yes—
418#393C2314yes—
419#393C2314yes—
420#393C2314yes—
421#393C2314yes—
422#392C2314yes—
423#392C2314yes—
424#392C2314yes—
425#391C2314yes—
426#391C2314yes—
427#391C2314yes—
428#391C2314yes—
429#391C2314yes—
430#390C2314yes—
431#390C2312yes—
432#390C2312yes—
433#390C2312yes—
434#390C2312yes—
435#390C2314yes—
436#390C2314yes—
437#390C2314yes—
438#390C2314yes—
439#390C2314yes—
440#390C2312yes—
441#390C2312yes—
442#390C2314yes—
443#390C2312yes—
444#390C2312yes—
445#390C2312yes—
446#390C2312yes—
447#390C2312yes—
448#390C2312yes—
449#389C2312yes—
450#389C2312yes—
451#389C2312yes—
452#389C2312yes—
453#389C2312yes—
454#389C2312yes—
455#389C2314yes—
456#389C2314yes—
457#389C2312yes—
458#389C2314yes—
459#389C2314yes—
460#389C2312yes—
461#389C2312yes—
462#389C2312yes—
463#389C2312yes—
464#389C2312yes—
465#389C2312yes—
466#389C2312yes—
467#389C2314yes—
468#389C2314yes—
469#389C2312yes—
470#389C2312yes—
471#388C2312yes—
472#388C2314yes—
473#388C2314yes—
474#388C2312yes—
475#388C2312yes—
476#388C2312yes—
477#388C2312yes—
478#388C2312yes—
479#388C2312yes—
480#388C2312yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
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#387C2314yes—
519#387C2312yes—
520#387C2312yes—
521#387C2312yes—
522#387C2312yes—
523#387C2312yes—
524#387C2312yes—
525#387C2312yes—
526#387C2312yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#386C2314yes—
556#386C2312yes—
557#386C2312yes—
558#386C2312yes—
559#386C2312yes—
560#386C2312yes—
561#386C2312yes—
562#386C2312yes—
563#386C2312yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#385C2314yes—
579#385C2314yes—
580#385C2312yes—
581#385C2312yes—
582#385C2312yes—
583#385C2312yes—
584#385C2312yes—
585#385C2312yes—
586#385C2312yes—
587#385C2312yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2312yes—
597#385C2312yes—
598#385C2312yes—
599#385C2314yes—
600#385C2312yes—
601#384C2312yes—
602#384C2312yes—
603#384C2312yes—
604#384C2312yes—
605#384C2312yes—
606#383C2314yes—
607#383C2314yes—
608#383C2312yes—
609#383C2312yes—
610#382C2312yes—
611#382C2312yes—
612#382C2312yes—
613#382C2312yes—
614#382C2314yes—
615#382C2314yes—
616#382C2312yes—
617#382C2312yes—
618#382C2312yes—
619#381C2312yes—
620#381C2312yes—
621#381C2312yes—
622#381C2314yes—
623#381C2312yes—
624#381C2314yes—
625#381C2314yes—
626#381C2312yes—
627#381C2314yes—
628#381C2312yes—
629#381C2314yes—
630#381C2312yes—
631#381C2312yes—
632#380C2312yes—
633#380C2312yes—
634#380C2314yes—
635#380C2312yes—
636#380C2312yes—
637#380C2312yes—
638#380C2312yes—
639#380C2312yes—
640#380C2312yes—
641#380C2312yes—
642#380C2312yes—
643#380C2314yes—
644#380C2314yes—
645#380C2314yes—
646#380C2314yes—
647#380C2312yes—
648#380C2312yes—
649#380C2312yes—
650#380C2314yes—
651#380C2312yes—
652#380C2312yes—
653#380C2312yes—
654#379C2312yes—
655#379C2312yes—
656#379C2314yes—
657#379C2314yes—
658#379C2312yes—
659#379C2312yes—
660#379C2312yes—
661#379C2312yes—
662C4×C4⋊C4C2312yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2312yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2314yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2314yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C22⋊C4C2314yes—
678C4×C22⋊C4C2311yescharacteristic
679C4×C22⋊C4C2311yescharacteristic
680C4×C22⋊C4C2311yescharacteristic
681C4×C22⋊C4C2311yescharacteristic
682C4×C22⋊C4C2311yescharacteristic
683C4×C22⋊C4C2312yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2311yescharacteristic
687C4×C22⋊C4C2311yescharacteristic
688C4×C22⋊C4C2311yescharacteristic
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705#376C2312yes—
706#376C2312yes—
707#376C2314yes—
708#376C2312yes—
709#376C2312yes—
710C2×#95C2312yes—
711C2×#95C2312yes—
712C2×#95C2314yes—
713C43C2312yes—
714C43C2312yes—
715C25C2412yes—
716C25C2411yescharacteristic
717C25C2411yescharacteristic
718C22×Q8C2414yes—
719C22×D4—24no—
720C22×D4—28no—
721C22×D4—24no—
722C22×D4—42no—
723C22×D4—42no—
724C22×D4—44no—
725C22×D4—84no—
726C22×D4C2412yes—
727C22×D4C2412yes—
728C22×D4C2414yes—
729C22×D4C2412yes—
730C22×D4C2414yes—
731C22×D4C2412yes—
732C22×D4C2414yes—
733C22×D4C2414yes—
734C23×C4—24no—
735C23×C4—42no—
736C23×C4—42no—
737C23×C4—42no—
738C23×C4—42no—
739C23×C4#4118yes—
740C23×C4C2412yes—
741C23×C4C2412yes—
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2411yescharacteristic
745C23×C4C2412yes—
746C23×C4C2412yes—
747C23×C4C2412yes—
748C23×C4C2411yescharacteristic
749C23×C4C2412yes—
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2412yes—
753C23×C4C2414yes—
754C23×C4C2414yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2411yescharacteristic
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C4⋊Q8—44no—
761#126—84no—
762#126—84no—
763#126—84no—
764#125—44no—
765#125—84no—
766#125—84no—
767#124—84no—
768#123—48no—
769#123—84no—
770#123—84no—
771C22⋊Q8—48no—
772C22⋊Q8—84no—
773#121—28no—
774#121—28no—
775#121—28no—
776#121—28no—
777#121—44no—
778#121—44no—
779#120—48no—
780#120—84no—
781C4×D4—28no—
782C4×D4—28no—
783C4×D4—28no—
784C4×D4—28no—
785C4×D4—44no—
786C4×D4—44no—
787C4×D4—84no—
788C4×D4—84no—
789#117—24no—
790#117—24no—
791#117—24no—
792#117—24no—
793#117—28no—
794#117—28no—
795#117—44no—
796#117—44no—
797#117—48no—
798#117—42no—
799#117—42no—
800#117—42no—
801#117—42no—
802C2×C4⋊C4—24no—
803C2×C4⋊C4—24no—
804C2×C4⋊C4—24no—
805C2×C4⋊C4—24no—
806C2×C4⋊C4—84no—
807C2×C4⋊C4C2411yescharacteristic
808C2×C4⋊C4C2411yescharacteristic
809C2×C4⋊C4C2411yescharacteristic
810C2×C4⋊C4C2411yescharacteristic
811C2×C4⋊C4C2412yes—
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2412yes—
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2412yes—
818C2×C4⋊C4C2412yes—
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2414yes—
854C2×C22⋊C4—28no—
855C2×C22⋊C4—24no—
856C2×C22⋊C4—24no—
857C2×C22⋊C4—28no—
858C2×C22⋊C4—44no—
859C2×C22⋊C4—48no—
860C2×C22⋊C4—48no—
861C2×C22⋊C4—44no—
862C2×C22⋊C4—84no—
863C2×C22⋊C4C2412yes—
864C2×C22⋊C4C2412yes—
865C2×C22⋊C4C2412yes—
866C2×C22⋊C4C2412yes—
867C2×C22⋊C4C2412yes—
868C2×C22⋊C4C2412yes—
869C2×C22⋊C4C2412yes—
870C2×C22⋊C4C2412yes—
871C2×C22⋊C4C2412yes—
872C2×C22⋊C4C2412yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C42—28no—
924C2×C42—24no—
925C2×C42—42no—
926C2×C42—42no—
927C2×C42—42no—
928C2×C42—42no—
929C2×C42C2412yes—
930C2×C42C2412yes—
931C2×C42C2412yes—
932C2×C42C2412yes—
933C2×C42C2412yes—
934C2×C42C2412yes—
935C2×C42C2412yes—
936C2×C42C2412yes—
937C2×C42C2412yes—
938C2×C42C2412yes—
939C2×C42C2412yes—
940C2×C42C2412yes—
941C2×C42C2414yes—
942C2×C42C2414yes—
943C2×C42C2412yes—
944C2×C42C2412yes—
945C2×C42C2414yes—
946C2×C42C2414yes—
947C2×C42C2414yes—
948C2×C42C2414yes—
949C2×C42C2411yescharacteristic
950C2×C42C2411yescharacteristic
951C2×C42C2411yescharacteristic
952C2×C42C2411yescharacteristic
953C2×C42C2411yescharacteristic
954C2×C42C2411yescharacteristic
955C2×C42C2411yescharacteristic
956C2×C42C2411yescharacteristic
957#95C2412yes—
958#95C2412yes—
959#95C2412yes—
960#95C2412yes—
961#95C2412yes—
962#95C2412yes—
963#95C2412yes—
964#95C2412yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2412yes—
977#95C2412yes—
978#95C2412yes—
979#95C2412yes—
980#95C2412yes—
981#95C2412yes—
982#95C2412yes—
983#95C2412yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2412yes—
989#95C2414yes—
990#95C2412yes—
991#95C2414yes—
992#95C2412yes—
993#95C2412yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2412yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019C24—24no—
1020C24—22no—
1021C24—24no—
1022C24—28no—
1023C24—41no—
1024C24—41no—
1025C24—42no—
1026C24—42no—
1027C24—44no—
1028C24—42no—
1029C24—41no—
1030C24—41no—
1031C24—42no—
1032C24—42no—
1033C24C2×#4114yes—
1034C24C2512yes—
1035C24C2514yes—
1036C24C2511yescharacteristic
1037C24C2511yescharacteristic
1038C24C2511yescharacteristic
1039C2×Q8—44no—
1040C2×Q8—44no—
1041C2×Q8—44no—
1042C2×D4—24no—
1043C2×D4—24no—
1044C2×D4—28no—
1045C2×D4—24no—
1046C2×D4—24no—
1047C2×D4—28no—
1048C2×D4—24no—
1049C2×D4—24no—
1050C2×D4—24no—
1051C2×D4—24no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—416no—
1067C2×D4—88no—
1068C2×D4—816no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—24no—
1076C22×C4—22no—
1077C22×C4—24no—
1078C22×C4—28no—
1079C22×C4—22no—
1080C22×C4—24no—
1081C22×C4—22no—
1082C22×C4—24no—
1083C22×C4—24no—
1084C22×C4—24no—
1085C22×C4—24no—
1086C22×C4—24no—
1087C22×C4—24no—
1088C22×C4—416no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—42no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—42no—
1103C22×C4—42no—
1104C22×C4—44no—
1105C22×C4—44no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—44no—
1114C22×C4—44no—
1115C22×C4—44no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—88no—
1120C22×C4C2×#4114yes—
1121C22×C4C2×#4114yes—
1122C22×C4C2×#4114yes—
1123C22×C4C2×#4114yes—
1124C22×C4C2×#4114yes—
1125C22×C4C2×#4114yes—
1126C22×C4C2512yes—
1127C22×C4C2512yes—
1128C22×C4C2512yes—
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C22×C4C2512yes—
1132C22×C4C2514yes—
1133C22×C4C2512yes—
1134C22×C4C2514yes—
1135C22×C4C2514yes—
1136C22×C4C2512yes—
1137C22×C4C2512yes—
1138C22×C4C2514yes—
1139C22×C4C2512yes—
1140C22×C4C2512yes—
1141C22×C4C2512yes—
1142C22×C4C2514yes—
1143C22×C4C2512yes—
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2511yescharacteristic
1147C22×C4C2511yescharacteristic
1148C22×C4C2511yescharacteristic
1149C22×C4C2511yescharacteristic
1150C4⋊C4—24no—
1151C4⋊C4—24no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—24no—
1157C4⋊C4—24no—
1158C4⋊C4—24no—
1159C4⋊C4—24no—
1160C4⋊C4—24no—
1161C4⋊C4—24no—
1162C4⋊C4—24no—
1163C4⋊C4—24no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—42no—
1169C4⋊C4—42no—
1170C4⋊C4—42no—
1171C4⋊C4—42no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—42no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—42no—
1191C4⋊C4—42no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—42no—
1196C4⋊C4—44no—
1197C22⋊C4—24no—
1198C22⋊C4—24no—
1199C22⋊C4—24no—
1200C22⋊C4—24no—
1201C22⋊C4—24no—
1202C22⋊C4—24no—
1203C22⋊C4—24no—
1204C22⋊C4—24no—
1205C22⋊C4—28no—
1206C22⋊C4—28no—
1207C22⋊C4—24no—
1208C22⋊C4—24no—
1209C22⋊C4—28no—
1210C22⋊C4—28no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—42no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—42no—
1254C22⋊C4—44no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C42—24no—
1258C42—24no—
1259C42—24no—
1260C42—24no—
1261C42—24no—
1262C42—24no—
1263C42—24no—
1264C42—24no—
1265C42—24no—
1266C42—24no—
1267C42—41no—
1268C42—41no—
1269C42—41no—
1270C42—41no—
1271C42—41no—
1272C42—41no—
1273C42—41no—
1274C42—41no—
1275C42—42no—
1276C42—42no—
1277C42—42no—
1278C42—42no—
1279C42—44no—
1280C42—44no—
1281C42—44no—
1282C42—44no—
1283C42—44no—
1284C42—44no—
1285C23—21no—
1286C23—21no—
1287C23—22no—
1288C23—22no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—28no—
1297C23—22no—
1298C23—24no—
1299C23—24no—
1300C23—22no—
1301C23—24no—
1302C23—22no—
1303C23—22no—
1304C23—24no—
1305C23—24no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—24no—
1310C23—24no—
1311C23—44no—
1312C23—44no—
1313C23—44no—
1314C23—48no—
1315C23—82no—
1316C23—84no—
1317C23—84no—
1318C23—82no—
1319C23—84no—
1320C23—84no—
1321C23—88no—
1322C23—88no—
1323C23—84no—
1324C23—84no—
1325C23C22×#4112yes—
1326C23C22×#4112yes—
1327C23C22×#4112yes—
1328C23#58514yes—
1329C23C2611yescharacteristic
1330Q8—164no—
1331D4—48no—
1332D4—416no—
1333D4—48no—
1334D4—48no—
1335D4—84no—
1336D4—88no—
1337D4—164no—
1338D4—164no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—28no—
1346C2×C4—28no—
1347C2×C4—28no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—24no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—24no—
1367C2×C4—24no—
1368C2×C4—24no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—24no—
1372C2×C4—24no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—24no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—24no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—24no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—24no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—24no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—24no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—48no—
1408C2×C4—44no—
1409C2×C4—48no—
1410C2×C4—48no—
1411C2×C4—84no—
1412C2×C4—84no—
1413C2×C4—82no—
1414C2×C4—84no—
1415C2×C4—82no—
1416C2×C4—84no—
1417C2×C4—84no—
1418C2×C4—84no—
1419C2×C4—164no—
1420C2×C4—164no—
1421C2×C4C22×#4112yes—
1422C2×C4C22×#4112yes—
1423C2×C4C22×#4112yes—
1424C2×C4C22×#4112yes—
1425C2×C4#58512yes—
1426C2×C4#58512yes—
1427C22—22no—
1428C22—22no—
1429C22—24no—
1430C22—24no—
1431C22—22no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—22no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—44no—
1443C22—44no—
1444C22—42no—
1445C22—44no—
1446C22—42no—
1447C22—42no—
1448C22—44no—
1449C22—44no—
1450C22—42no—
1451C22—44no—
1452C22—42no—
1453C22—42no—
1454C22—44no—
1455C22—88no—
1456C22—88no—
1457C22—168no—
1458C22#345514yes—
1459C22C23×#4111yescharacteristic
1460C22C2×#58511yescharacteristic
1461C22C2×#58511yescharacteristic
1462C22C2×#58512yes—
1463C22H(7,𝔽2)12yes—
1464C4—22no—
1465C4—22no—
1466C4—22no—
1467C4—42no—
1468C4—42no—
1469C4—42no—
1470C4—42no—
1471C4—44no—
1472C4—42no—
1473C4—42no—
1474C4—42no—
1475C4—42no—
1476C4—44no—
1477C4—44no—
1478C4—42no—
1479C4—42no—
1480C4—42no—
1481C4—42no—
1482C4—44no—
1483C4—44no—
1484C4—42no—
1485C4—42no—
1486C4—42no—
1487C4#349114yes—
1488C2—24no—
1489C2—42no—
1490C2—42no—
1491C2—82no—
1492C2—84no—
1493C2C2×#345511yescharacteristic
1494C2C2×#349111yescharacteristic
1495C2#6285511yescharacteristic
1496C2#6290812yes—
1497C2#6291012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35076C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #41398C2semidirect
2. #41397C2semidirect
3. #40641C2semidirect
4. #40639C2semidirect
5. #38112C2semidirect
6. #38110C2semidirect
7. #38074C2semidirect
8. #38073C2semidirect
9. #37884C2semidirect
10. #37882C2semidirect
11. #37858C2semidirect
12. #37857C2semidirect
13. #37511C2semidirect
14. #37508C2semidirect
15. #37019C2semidirect
16. #37016C2semidirect
17. #37013C2semidirect
18. #37010C2semidirect
19. #35457C2semidirect
20. #35164C2semidirect
21. #35161C2semidirect
22. #35100C2semidirect
24. #35033C2semidirect
25. #34809C2semidirect
26. C2×#2500C2semidirect
27. #34246C2semidirect
28. #34109C2semidirect
29. #34057C2semidirect
33. #2866C22semidirect
34. #2865C22semidirect
35. #2861C22semidirect
36. #2860C22semidirect
37. #2857C22semidirect
39. #2851C22semidirect
41. #2827C22semidirect
42. #2827C22semidirect
43. #2826C22semidirect
44. #2824C22semidirect
45. #2797C22semidirect
46. #2796C22semidirect
47. #2794C22semidirect
48. #2794C22semidirect
49. #2786C22semidirect
50. #2773C22semidirect
51. #2767C22semidirect
52. #2762C22semidirect
53. #2761C22semidirect
54. #2754C22semidirect
55. #2752C22semidirect
56. #2751C22semidirect
57. #2751C22semidirect
58. #2750C22semidirect
59. #2746C22semidirect
60. #2743C22semidirect
61. #2743C22semidirect
62. #2740C22semidirect
63. #2740C22semidirect
64. #2737C22semidirect
65. #2730C22semidirect
66. #2721C22semidirect
67. #2721C22semidirect
68. #2707C22semidirect
69. #2705C22semidirect
70. #2697C22semidirect
71. #2695C22semidirect
72. #2694C22semidirect
73. #2687C22semidirect
74. #2685C22semidirect
75. #2685C22semidirect
76. #2684C22semidirect
77. #2654C22semidirect
78. #2653C22semidirect
79. #2651C22semidirect
80. #2651C22semidirect
81. #2650C22semidirect
82. #2649C22semidirect
83. #2648C22semidirect
84. #2648C22semidirect
85. #2647C22semidirect
86. #2647C22semidirect
87. #2644C22semidirect
88. #2644C22semidirect
89. #2638C22semidirect
90. #2636C22semidirect
92. #2633C22semidirect
93. #2630C22semidirect
94. #2629C22semidirect
95. #2628C22semidirect
97. #2624C22semidirect
98. #2624C22semidirect
99. #2608C22semidirect
100. #2608C22semidirect
101. #2607C22semidirect
102. #2607C22semidirect
104. #2578C22semidirect
105. #2577C22semidirect
106. #2576C22semidirect
107. #2575C22semidirect
108. #2572C22semidirect
109. #2560C22semidirect
110. #2558C22semidirect
111. #2553C22semidirect
113. #2532C22semidirect
114. #2531C22semidirect
115. #2531C22semidirect
116. #2530C22semidirect
117. #2529C22semidirect
118. #2527C22semidirect
119. #2526C22semidirect
120. #2526C22semidirect
121. #2525C22semidirect
122. #2521C22semidirect
123. #2519C22semidirect
124. #2516C22semidirect
125. #2515C22semidirect
126. #2515C22semidirect
127. #2513C22semidirect
128. #2512C22semidirect
129. #2509C22semidirect
130. #2508C22semidirect
131. #2506C22semidirect
132. #2506C22semidirect
137. #2500C22semidirect
138. #2500C22semidirect
139. #2500C22semidirect
140. #2500C22semidirect
142. #2496C22semidirect
143. #2496C22semidirect
144. #2495C22semidirect
145. #2495C22semidirect
146. #2494C22semidirect
147. #2493C22semidirect
148. #2491C22semidirect
149. #2490C22semidirect
150. #2489C22semidirect
155. #2485C22semidirect
156. #2485C22semidirect
157. #2484C22semidirect
159. #2483C22semidirect
160. #2482C22semidirect
161. #2482C22semidirect
164. #2480C22semidirect
165. #2473C22semidirect
166. #2473C22semidirect
168. #2467C22semidirect
169. #2466C22semidirect
170. #2460C22semidirect
171. #2459C22semidirect
172. #2454C22semidirect
173. #2452C22semidirect
174. #2441C22semidirect
175. #2441C22semidirect
176. #2439C22semidirect
177. #2439C22semidirect
178. #2438C22semidirect
179. #2437C22semidirect
180. #2422C22semidirect
181. #2420C22semidirect
191. #2395C22semidirect
193. #2364C22semidirect
196. #2347C22semidirect
197. #2346C22semidirect
198. #2345C22semidirect
199. #2345C22semidirect
200. #2344C22semidirect
201. #2343C22semidirect
204. D4×C22⋊C4C22semidirect
207. #2331C22semidirect
208. #2330C22semidirect
209. #2329C22semidirect
210. #2324C22semidirect
211. #2324C22semidirect
213. #2319C22semidirect
214. #2319C22semidirect
217. #2318C22semidirect
218. #2318C22semidirect
220. #2314C22semidirect
221. #2314C22semidirect
222. #2313C22semidirect
223. #2313C22semidirect
224. #2312C22semidirect
225. #2312C22semidirect
226. #2312C22semidirect
229. C4×#121C22semidirect
230. C4×#121C22semidirect
231. #2298C22semidirect
232. #2298C22semidirect
233. #2296C22semidirect
234. #2296C22semidirect
235. #2296C22semidirect
236. #2296C22semidirect
237. C2×#390C22semidirect
238. C2×#390C22semidirect
241. #2290C22semidirect
242. #2290C22semidirect
243. C2×#388C22semidirect
244. C2×#384C22semidirect
245. #2283C22semidirect
246. #2283C22semidirect
247. C2×#382C22semidirect
250. #2280C22semidirect
251. #2280C22semidirect
252. #2280C22semidirect
253. #2273C22semidirect
254. C4×#117C22semidirect
255. C4×#117C22semidirect
256. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#413982
#413972
#406412
#406392
#381122
#381102
#380742
#380732
#378842
#378822
#378582
#378572
#375112
#375082
#370192
#370162
#370132
#370102
#354572
#351642
#351612
#351002
#350762
#350332
#348092
C2×#25002
#342462
#341092
#340572