Finite Group Databasebeta

← #7682447

Subgroups — #7682447

Order 512.

6014 conjugacy classes of subgroups.

The subgroup lattice has 1423 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60031C212yesmaximal, complemented
2#60003C212yesmaximal, complemented
3#59940C212yesmaximal, complemented
4#59886C212yesmaximal, complemented
5#59846C212yesmaximal, complemented
6#59802C212yesmaximal, complemented
7#59775C214yesmaximal, complemented
8#59623C214yesmaximal, complemented
9#59162C212yesmaximal, complemented
10#59143C211yesmaximal, characteristic, complemented
11#59126C211yesmaximal, characteristic
12#44428C214yesmaximal, complemented
13#44329C214yesmaximal, complemented
14#44238C214yesmaximal, complemented
15#44192C214yesmaximal, complemented
16#43084C214yesmaximal, complemented
17#43005C214yesmaximal, complemented
18#35451C212yesmaximal, complemented
19#35375C214yesmaximal, complemented
20#34956C212yesmaximal, complemented
21C2×#2544C211yesmaximal, characteristic, complemented
22#34290C214yesmaximal, complemented
23#34278C212yesmaximal, complemented
24C2×#559C2211yescharacteristic, complemented
25C2×#551C2212yescomplemented
26C2×D42C2214yes—
27C2×D42C2211yescharacteristic
28C2×#539C2212yes—
29C22×#127C2211yescharacteristic
30C22×#124C2211yescharacteristic, complemented
31C22×#124C2211yescharacteristic, complemented
32C2×#518C2212yescomplemented
33C22×C4×D4C2211yescharacteristic, complemented
34C22×C4×D4C2212yescomplemented
35#2806C2212yescomplemented
36#2805C2212yescomplemented
37#2804C2212yescomplemented
38#2800C2214yescomplemented
39#2800C2214yescomplemented
40#2797C2214yescomplemented
41#2797C2214yescomplemented
42#2797C2214yescomplemented
43#2761C2214yescomplemented
44#2761C2214yescomplemented
45#2748C2212yescomplemented
46#2732C2212yescomplemented
47#2730C2214yescomplemented
48#2717C2212yescomplemented
49#2711C2214yescomplemented
50#2711C2214yescomplemented
51#2709C2212yes—
52#2709C2212yescomplemented
53#2709C2214yescomplemented
54#2709C2214yescomplemented
55#2697C2212yescomplemented
56#2691C2214yescomplemented
57#2691C2214yescomplemented
58#2685C2214yescomplemented
59#2685C2214yescomplemented
60#2684C2212yescomplemented
61#2672C2214yescomplemented
62#2672C2214yescomplemented
63#2669C2212yes—
64#2669C2212yes—
65#2610C2214yescomplemented
66#2603C2214yescomplemented
67#2600C2214yescomplemented
68#2600C2214yescomplemented
69#2600C2214yescomplemented
70#2600C2214yescomplemented
71#2597C2214yescomplemented
72#2597C2214yescomplemented
73#2597C2214yescomplemented
74#2595C2214yescomplemented
75#2589C2214yescomplemented
76#2579C2214yescomplemented
77#2579C2212yescomplemented
78#2579C2212yescomplemented
79#2574C2214yescomplemented
80#2569C2214yescomplemented
81#2564C2214yescomplemented
82#2559C2214yescomplemented
83#2559C2214yescomplemented
84#2559C2214yescomplemented
85#2557C2214yescomplemented
86#2557C2214yescomplemented
87#2554C2214yescomplemented
88#2548C2212yescomplemented
89#2544C2212yes—
90#2544C2214yescomplemented
91#2544C2214yescomplemented
92#2544C2214yescomplemented
93#2544C2212yescomplemented
94#2544C2212yescomplemented
95#2544C2212yescomplemented
96#2541C2212yes—
97#2534C2214yescomplemented
98#2534C2214yescomplemented
99#2534C2212yescomplemented
100#2534C2212yescomplemented
101#2531C2214yescomplemented
102#2531C2214yescomplemented
103#2526C2214yescomplemented
104#2521C2214yescomplemented
105#2521C2214yescomplemented
106#2520C2214yescomplemented
107#2516C2214yescomplemented
108#2483C2212yescomplemented
109#2483C2212yescomplemented
110#2480C2214yescomplemented
111#2480C2214yescomplemented
112#2479C2214yescomplemented
113#2476C2214yescomplemented
114#2474C2214yescomplemented
115#2474C2214yescomplemented
116#2474C2214yescomplemented
117#2472C2214yescomplemented
118#2472C2214yescomplemented
119#2472C2214yescomplemented
120#2472C2214yescomplemented
121#2472C2214yescomplemented
122#2471C2214yescomplemented
123#2471C2214yescomplemented
124#2467C2214yescomplemented
125#2466C2214yescomplemented
126#2466C2214yescomplemented
127#2465C2214yescomplemented
128#2461C2214yescomplemented
129#2461C2214yescomplemented
130#2461C2214yescomplemented
131#2460C2214yescomplemented
132#2460C2214yescomplemented
133#2459C2214yescomplemented
134#2459C2214yescomplemented
135#2459C2214yescomplemented
136#2450C2214yescomplemented
137#2445C2214yescomplemented
138#2444C2214yescomplemented
139#2444C2214yescomplemented
140#2444C2214yescomplemented
141#2435C2214yescomplemented
142#2433C2214yes—
143#2428C2214yes—
144#2425C2214yescomplemented
145#2418C2214yescomplemented
146#2418C2214yescomplemented
147#2411C2214yescomplemented
148#2409C2214yescomplemented
149#2408C2214yes—
150#2405C2212yescomplemented
151#2405C2212yescomplemented
152#2405C2212yescomplemented
153#2405C2212yescomplemented
154#2405C2214yescomplemented
155#2405C2214yescomplemented
156#2403C2212yes—
157#2403C2212yes—
158#2392C2214yescomplemented
159#2392C2214yescomplemented
160C2×#394C2214yescomplemented
161#2374C2212yescomplemented
162#2374C2214yescomplemented
163#2373C2214yescomplemented
164#2373C2214yescomplemented
165#2372C2212yescomplemented
166#2371C2214yescomplemented
167#2370C2214yescomplemented
168#2368C2214yescomplemented
169#2368C2214yescomplemented
170#2366C2211yescharacteristic
171#2366C2211yescharacteristic, complemented
172#2366C2214yescomplemented
173#2364C2214yes—
174#2364C2214yescomplemented
175#2363C2214yescomplemented
176#2362C2214yescomplemented
177#2361C2214yescomplemented
178#2359C2214yescomplemented
179#2358C2214yescomplemented
180#2358C2214yescomplemented
181#2358C2212yescomplemented
182#2358C2214yescomplemented
183#2358C2214yescomplemented
184#2352C2214yescomplemented
185#2349C2214yescomplemented
186D4×C22⋊C4C2214yescomplemented
187D4×C22⋊C4C2214yescomplemented
188D4×C22⋊C4C2214yescomplemented
189D4×C22⋊C4C2214yescomplemented
190#2329C2212yescomplemented
191#2328C2214yescomplemented
192#2325C2212yes—
193#2325C2214yescomplemented
194#2324C2214yescomplemented
195#2322C2214yescomplemented
196#2321C2214yescomplemented
197#2321C2214yescomplemented
198#2313C2212yescomplemented
199#2312C2212yescomplemented
200C4×C22⋊Q8C2212yescomplemented
201C4×#123C2212yescomplemented
202C4×#123C2214yescomplemented
203C4×#123C2212yescomplemented
204C4×#121C2212yes—
205C4×#121C2214yescomplemented
206C4×#120C2214yescomplemented
207C4×#120C2212yescomplemented
208C4×#120C2214yescomplemented
209C4×#120C2212yescomplemented
210C2×#391C2211yescharacteristic, complemented
211C2×#390C2211yescharacteristic, complemented
212#2290C2214yescomplemented
213#2290C2214yescomplemented
214C2×#386C2214yescomplemented
215C2×#386C2214yescomplemented
216#2280C2212yescomplemented
217#2275C2214yescomplemented
218C2×C4×C4⋊C4C2211yescharacteristic, complemented
219C23×Q8C2311yescharacteristic
220C23×D4C2312yes—
221C23×D4C2312yes—
222C23×D4C2311yescharacteristic
223C23×D4C2314yes—
224C23×D4C2314yes—
225C23×D4C2311yescharacteristic
226C24×C4C2312yes—
227C24×C4C2312yes—
228#559—44no—
229#551—48no—
230D42—232no—
231D42—44no—
232#539—216no—
233C2×#127—44no—
234C2×#127C2314yes—
235C2×#127C2311yescharacteristic
236C2×#127C2311yescharacteristic
237C2×#127C2311yescharacteristic
238C2×#127C2314yes—
239C2×#127C2311yescharacteristic
240C2×#126C2314yes—
241C2×#126C2314yes—
242C2×#126C2314yes—
243C2×#125C2314yes—
244C2×#124—44no—
245C2×#124—44no—
246C2×#124C2312yes—
247C2×#124C2312yes—
248C2×#124C2312yes—
249C2×#124C2314yes—
250C2×#124C2314yes—
251C2×#124C2312yes—
252C2×#124C2314yes—
253C2×#124C2314yes—
254C2×#123C2314yes—
255C2×#123C2314yes—
256C2×#123C2312yes—
257C2×#123C2312yes—
258C2×#123C2314yes—
259C2×#123C2312yes—
260C2×#123C2312yes—
261C2×#123C2314yes—
262C2×C22⋊Q8C2312yes—
263C2×C22⋊Q8C2314yes—
264C2×C22⋊Q8C2314yes—
265C2×C22⋊Q8C2314yes—
266C2×#121C2314yes—
267C2×#121C2314yes—
268C2×#121C2314yes—
269C2×#121C2314yes—
270C2×#121C2314yes—
271C2×#121C2312yes—
272C2×#120C2314yes—
273C2×#120C2314yes—
274C2×#120C2314yes—
275C2×#120C2314yes—
276C2×#120C2312yes—
277C2×#120C2312yes—
278C2×#120C2312yes—
279C2×#120C2312yes—
280#518—48no—
281C2×C4×Q8C2312yes—
282C2×C4×D4—44no—
283C2×C4×D4—48no—
284C2×C4×D4C2314yes—
285C2×C4×D4C2314yes—
286C2×C4×D4C2314yes—
287C2×C4×D4C2314yes—
288C2×C4×D4C2314yes—
289C2×C4×D4C2314yes—
290C2×C4×D4C2312yes—
291C2×C4×D4C2312yes—
292C2×C4×D4C2314yes—
293C2×C4×D4C2314yes—
294C2×C4×D4C2314yes—
295C2×C4×D4C2314yes—
296C2×C4×D4C2314yes—
297C2×C4×D4C2314yes—
298C2×C4×D4C2312yes—
299C2×C4×D4C2312yes—
300C2×C4×D4C2312yes—
301C2×C4×D4C2314yes—
302C2×C4×D4C2314yes—
303C2×C4×D4C2314yes—
304C2×C4×D4C2314yes—
305C2×#117C2314yes—
306C2×#117C2314yes—
307C2×#117C2314yes—
308C22×C4⋊C4C2312yes—
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2312yes—
311C22×C22⋊C4C2312yes—
312C22×C22⋊C4C2314yes—
313C22×C22⋊C4C2312yes—
314C22×C22⋊C4C2312yes—
315C22×C22⋊C4C2312yes—
316C22×C22⋊C4C2314yes—
317C22×C22⋊C4C2314yes—
318C22×C22⋊C4C2312yes—
319C22×C22⋊C4C2312yes—
320C22×C22⋊C4C2314yes—
321C22×C22⋊C4C2314yes—
322C22×C42C2311yescharacteristic
323C22×C42C2312yes—
324C22×C42C2311yescharacteristic
325C22×C42C2311yescharacteristic
326#400C2314yes—
327#400C2314yes—
328#400C2314yes—
329#399C2314yes—
330#399C2314yes—
331#399C2314yes—
332#398C2314yes—
333#398C2314yes—
334#398C2314yes—
335#398C2314yes—
336#397C2314yes—
337#397C2314yes—
338#397C2314yes—
339#397C2314yes—
340#397C2314yes—
341#397C2314yes—
342#397C2314yes—
343#397C2314yes—
344#397C2314yes—
345#397C2314yes—
346#397C2314yes—
347#397C2314yes—
348#396C2314yes—
349#396C2314yes—
350#396C2314yes—
351#396C2314yes—
352#396C2314yes—
353#396C2314yes—
354#396C2314yes—
355#396C2314yes—
356#395C2314yes—
357#395C2314yes—
358#395C2314yes—
359#394C2314yes—
360#394C2314yes—
361#394C2314yes—
362#394C2314yes—
363#394C2314yes—
364#394C2314yes—
365#394C2314yes—
366#394C2314yes—
367#394C2314yes—
368#394C2314yes—
369#394C2314yes—
370#394C2314yes—
371#394C2314yes—
372#394C2314yes—
373#394C2314yes—
374#394C2314yes—
375#394C2314yes—
376#394C2314yes—
377#394C2314yes—
378#394C2314yes—
379#394C2314yes—
380#394C2314yes—
381#394C2314yes—
382#394C2314yes—
383#394C2314yes—
384#394C2314yes—
385#394C2314yes—
386#394C2314yes—
387#394C2314yes—
388#394C2314yes—
389#393C2314yes—
390#393C2314yes—
391#393C2314yes—
392#392C2314yes—
393#392C2314yes—
394#392C2314yes—
395#392C2314yes—
396#392C2314yes—
397#392C2314yes—
398#391C2312yes—
399#391C2314yes—
400#391C2312yes—
401#391C2314yes—
402#391C2312yes—
403#391C2312yes—
404#391C2314yes—
405#391C2312yes—
406#390C2314yes—
407#390C2314yes—
408#390C2314yes—
409#390C2314yes—
410#390C2314yes—
411#390C2314yes—
412#390C2314yes—
413#390C2314yes—
414#390C2314yes—
415#390C2314yes—
416#390C2314yes—
417#390C2314yes—
418#390C2314yes—
419#390C2312yes—
420#390C2312yes—
421#390C2312yes—
422#390C2312yes—
423#390C2314yes—
424#390C2312yes—
425#389C2314yes—
426#389C2314yes—
427#389C2314yes—
428#389C2314yes—
429#389C2314yes—
430#389C2312yes—
431#389C2312yes—
432#388C2314yes—
433#388C2314yes—
434#388C2314yes—
435#388C2314yes—
436#388C2314yes—
437#388C2314yes—
438#388C2314yes—
439#388C2314yes—
440#388C2314yes—
441#388C2314yes—
442#388C2314yes—
443#388C2314yes—
444#388C2314yes—
445#388C2314yes—
446#388C2314yes—
447#388C2314yes—
448#388C2314yes—
449#388C2314yes—
450#388C2314yes—
451#388C2314yes—
452#388C2314yes—
453#388C2314yes—
454#388C2314yes—
455#388C2314yes—
456#388C2314yes—
457#388C2314yes—
458#388C2314yes—
459#388C2314yes—
460#388C2314yes—
461#388C2314yes—
462#388C2314yes—
463#388C2314yes—
464#388C2314yes—
465#388C2314yes—
466#388C2314yes—
467#388C2314yes—
468#387C2314yes—
469#387C2314yes—
470#387C2314yes—
471#387C2314yes—
472#387C2314yes—
473#387C2314yes—
474#387C2314yes—
475#387C2314yes—
476#387C2314yes—
477#387C2314yes—
478#387C2314yes—
479#387C2314yes—
480#387C2314yes—
481#387C2314yes—
482#387C2314yes—
483#387C2314yes—
484#387C2314yes—
485#387C2314yes—
486#387C2314yes—
487#387C2314yes—
488#387C2314yes—
489#387C2314yes—
490#387C2314yes—
491#387C2314yes—
492#386C2314yes—
493#386C2314yes—
494#386C2314yes—
495#386C2314yes—
496#386C2314yes—
497#386C2314yes—
498#386C2314yes—
499#386C2314yes—
500#386C2312yes—
501#386C2312yes—
502#386C2314yes—
503#386C2312yes—
504#386C2312yes—
505#386C2314yes—
506#386C2314yes—
507#386C2314yes—
508#386C2314yes—
509#386C2314yes—
510#386C2314yes—
511#386C2314yes—
512#386C2314yes—
513#386C2314yes—
514#386C2314yes—
515#386C2314yes—
516#386C2314yes—
517#386C2314yes—
518#386C2314yes—
519#386C2314yes—
520#386C2314yes—
521#386C2314yes—
522#386C2314yes—
523#386C2314yes—
524#386C2314yes—
525#386C2312yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2314yes—
530#386C2312yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yes—
534#386C2312yes—
535#386C2312yes—
536#386C2314yes—
537#385C2314yes—
538#385C2314yes—
539#385C2314yes—
540#385C2314yes—
541#385C2314yes—
542#385C2314yes—
543#385C2314yes—
544#385C2314yes—
545#385C2314yes—
546#385C2314yes—
547#385C2314yes—
548#385C2312yes—
549#385C2314yes—
550#385C2314yes—
551#385C2312yes—
552#385C2312yes—
553#385C2312yes—
554#385C2314yes—
555#385C2314yes—
556#385C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2314yes—
560#382C2314yes—
561#381C2314yes—
562#381C2314yes—
563#381C2312yes—
564#381C2314yes—
565#381C2312yes—
566#380C2314yes—
567#380C2314yes—
568#380C2312yes—
569#380C2312yes—
570#380C2314yes—
571#380C2312yes—
572#380C2312yes—
573#380C2314yes—
574#380C2314yes—
575#379C2312yes—
576#379C2312yes—
577#379C2314yes—
578#379C2314yes—
579#379C2314yes—
580#379C2314yes—
581#379C2312yes—
582#379C2312yes—
583#379C2314yes—
584#379C2312yes—
585#379C2312yes—
586C4×C4⋊C4C2314yes—
587C4×C4⋊C4C2314yes—
588C4×C4⋊C4C2312yes—
589C4×C4⋊C4C2314yes—
590C4×C4⋊C4C2314yes—
591C4×C4⋊C4C2314yes—
592C4×C4⋊C4C2312yes—
593C4×C4⋊C4C2312yes—
594C4×C4⋊C4C2314yes—
595C4×C4⋊C4C2312yes—
596C4×C4⋊C4C2314yes—
597C4×C4⋊C4C2314yes—
598C4×C4⋊C4C2314yes—
599C4×C22⋊C4C2314yes—
600C4×C22⋊C4C2314yes—
601C4×C22⋊C4C2314yes—
602C4×C22⋊C4C2314yes—
603C4×C22⋊C4C2314yes—
604C4×C22⋊C4C2314yes—
605C4×C22⋊C4C2314yes—
606C4×C22⋊C4C2314yes—
607C4×C22⋊C4C2314yes—
608C4×C22⋊C4C2312yes—
609C4×C22⋊C4C2312yes—
610C4×C22⋊C4C2314yes—
611C4×C22⋊C4C2314yes—
612C4×C22⋊C4C2314yes—
613C4×C22⋊C4C2314yes—
614C4×C22⋊C4C2314yes—
615C4×C22⋊C4C2314yes—
616C4×C22⋊C4C2314yes—
617C4×C22⋊C4C2314yes—
618C4×C22⋊C4C2314yes—
619#376C2314yes—
620#376C2314yes—
621C2×#95C2314yes—
622C2×#95C2312yes—
623C2×#95C2314yes—
624C2×#95C2314yes—
625C25C2412yes—
626C25C2412yes—
627C25C2412yes—
628C25C2412yes—
629C22×Q8—42no—
630C22×Q8—42no—
631C22×Q8—42no—
632C22×Q8C2412yes—
633C22×Q8C2412yes—
634C22×Q8C2412yes—
635C22×D4—216no—
636C22×D4—216no—
637C22×D4—24no—
638C22×D4—216no—
639C22×D4—216no—
640C22×D4—42no—
641C22×D4—42no—
642C22×D4—42no—
643C22×D4—42no—
644C22×D4—42no—
645C22×D4—44no—
646C22×D4—44no—
647C22×D4—48no—
648C22×D4—48no—
649C22×D4—84no—
650C22×D4—84no—
651C22×D4C2414yes—
652C22×D4C2414yes—
653C22×D4C2414yes—
654C22×D4C2414yes—
655C22×D4C2412yes—
656C22×D4C2414yes—
657C22×D4C2414yes—
658C22×D4C2411yescharacteristic
659C22×D4C2414yes—
660C22×D4C2414yes—
661C22×D4C2414yes—
662C22×D4C2411yescharacteristic
663C22×D4C2414yes—
664C22×D4C2412yes—
665C22×D4C2414yes—
666C22×D4C2411yescharacteristic
667C22×D4C2412yes—
668C22×D4C2411yescharacteristic
669C23×C4—28no—
670C23×C4—44no—
671C23×C4—84no—
672C23×C4—84no—
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2412yes—
676C23×C4C2412yes—
677C23×C4C2412yes—
678C23×C4C2412yes—
679C23×C4C2412yes—
680C23×C4C2414yes—
681C23×C4C2412yes—
682C23×C4C2412yes—
683C23×C4C2414yes—
684C23×C4C2412yes—
685C23×C4C2412yes—
686C23×C4C2414yes—
687C23×C4C2412yes—
688C23×C4C2414yes—
689C23×C4C2412yes—
690C23×C4C2412yes—
691C23×C4C2412yes—
692C23×C4C2414yes—
693C23×C4C2412yes—
694C23×C4C2411yescharacteristic
695#127—216no—
696#127—24no—
697#127—24no—
698#127—42no—
699#127—42no—
700#127—48no—
701#126—216no—
702#126—48no—
703#126—84no—
704#125—216no—
705#124—28no—
706#124—44no—
707#124—48no—
708#124—44no—
709#124—44no—
710#124—48no—
711#124—48no—
712#124—84no—
713#123—216no—
714#123—216no—
715#123—28no—
716#123—48no—
717#123—44no—
718#123—44no—
719#123—44no—
720#123—84no—
721C22⋊Q8—28no—
722C22⋊Q8—216no—
723C22⋊Q8—48no—
724C22⋊Q8—48no—
725#121—216no—
726#121—216no—
727#121—216no—
728#121—48no—
729#121—84no—
730#121#41116yes—
731#120—216no—
732#120—216no—
733#120—28no—
734#120—216no—
735#120—216no—
736#120—44no—
737#120—44no—
738#120—44no—
739C4×Q8—44no—
740C4×D4—216no—
741C4×D4—216no—
742C4×D4—216no—
743C4×D4—216no—
744C4×D4—48no—
745C4×D4—44no—
746C4×D4—44no—
747C4×D4—44no—
748C4×D4—44no—
749C4×D4—44no—
750C4×D4—48no—
751C4×D4—48no—
752C4×D4—48no—
753C4×D4—48no—
754C4×D4—48no—
755C4×D4—48no—
756C4×D4—48no—
757C4×D4—84no—
758C4×D4—84no—
759C4×D4—84no—
760C4×D4—84no—
761#117—48no—
762#117—48no—
763#117—84no—
764C2×C4⋊C4—28no—
765C2×C4⋊C4—44no—
766C2×C4⋊C4—42no—
767C2×C4⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
769C2×C4⋊C4C2414yes—
770C2×C4⋊C4C2414yes—
771C2×C4⋊C4C2414yes—
772C2×C4⋊C4C2414yes—
773C2×C4⋊C4C2414yes—
774C2×C4⋊C4C2414yes—
775C2×C4⋊C4C2414yes—
776C2×C4⋊C4C2412yes—
777C2×C4⋊C4C2414yes—
778C2×C4⋊C4C2414yes—
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2412yes—
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2414yes—
783C2×C4⋊C4C2414yes—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2412yes—
787C2×C4⋊C4C2412yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2412yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2412yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2412yes—
798C2×C22⋊C4—28no—
799C2×C22⋊C4—44no—
800C2×C22⋊C4—48no—
801C2×C22⋊C4—44no—
802C2×C22⋊C4—44no—
803C2×C22⋊C4—48no—
804C2×C22⋊C4—48no—
805C2×C22⋊C4—44no—
806C2×C22⋊C4—44no—
807C2×C22⋊C4—84no—
808C2×C22⋊C4—84no—
809C2×C22⋊C4C2414yes—
810C2×C22⋊C4C2414yes—
811C2×C22⋊C4C2414yes—
812C2×C22⋊C4C2414yes—
813C2×C22⋊C4C2414yes—
814C2×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2414yes—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2412yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2412yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2412yes—
836C2×C22⋊C4C2412yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2412yes—
839C2×C22⋊C4C2412yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2412yes—
859C2×C22⋊C4C2412yes—
860C2×C22⋊C4C2412yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2412yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2412yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2412yes—
869C2×C22⋊C4C2414yes—
870C2×C42—24no—
871C2×C42—44no—
872C2×C42—42no—
873C2×C42—42no—
874C2×C42C2412yes—
875C2×C42C2414yes—
876C2×C42C2412yes—
877C2×C42C2412yes—
878C2×C42C2411yescharacteristic
879C2×C42C2414yes—
880C2×C42C2414yes—
881C2×C42C2411yescharacteristic
882C2×C42C2414yes—
883C2×C42C2414yes—
884C2×C42C2414yes—
885C2×C42C2414yes—
886C2×C42C2414yes—
887C2×C42C2414yes—
888C2×C42C2414yes—
889C2×C42C2414yes—
890C2×C42C2412yes—
891C2×C42C2412yes—
892#95C2414yes—
893#95C2414yes—
894#95C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
900#95C2414yes—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930C24—24no—
931C24—28no—
932C24—28no—
933C24—24no—
934C24—24no—
935C24—28no—
936C24—28no—
937C24—24no—
938C24—42no—
939C24—44no—
940C24—44no—
941C24—42no—
942C24—42no—
943C24—44no—
944C24—42no—
945C24—42no—
946C24—42no—
947C24—44no—
948C24—42no—
949C24—42no—
950C24C2512yes—
951C24C2512yes—
952C24C2512yes—
953C24C2514yes—
954C24C2512yes—
955C24C2511yescharacteristic
956C2×Q8—24no—
957C2×Q8—24no—
958C2×Q8—24no—
959C2×Q8—42no—
960C2×Q8—42no—
961C2×Q8—42no—
962C2×Q8—42no—
963C2×Q8—42no—
964C2×Q8—42no—
965C2×Q8—88no—
966C2×D4—28no—
967C2×D4—28no—
968C2×D4—28no—
969C2×D4—28no—
970C2×D4—28no—
971C2×D4—28no—
972C2×D4—28no—
973C2×D4—28no—
974C2×D4—24no—
975C2×D4—28no—
976C2×D4—28no—
977C2×D4—28no—
978C2×D4—28no—
979C2×D4—28no—
980C2×D4—28no—
981C2×D4—28no—
982C2×D4—28no—
983C2×D4—28no—
984C2×D4—22no—
985C2×D4—22no—
986C2×D4—22no—
987C2×D4—24no—
988C2×D4—24no—
989C2×D4—41no—
990C2×D4—42no—
991C2×D4—41no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—42no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—41no—
998C2×D4—41no—
999C2×D4—42no—
1000C2×D4—44no—
1001C2×D4—416no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—41no—
1010C2×D4—42no—
1011C2×D4—41no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—42no—
1016C2×D4—41no—
1017C2×D4—41no—
1018C2×D4—432no—
1019C2×D4—432no—
1020C2×D4—88no—
1021C2×D4—832no—
1022C2×D4—832no—
1023C2×D4C2×#41116yes—
1024C2×D4C2×#4118yes—
1025C2×D4H(5,𝔽2)14yes—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—22no—
1029C22×C4—24no—
1030C22×C4—22no—
1031C22×C4—24no—
1032C22×C4—28no—
1033C22×C4—24no—
1034C22×C4—24no—
1035C22×C4—24no—
1036C22×C4—28no—
1037C22×C4—28no—
1038C22×C4—24no—
1039C22×C4—24no—
1040C22×C4—28no—
1041C22×C4—24no—
1042C22×C4—28no—
1043C22×C4—24no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—42no—
1047C22×C4—44no—
1048C22×C4—42no—
1049C22×C4—44no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—42no—
1054C22×C4—42no—
1055C22×C4—44no—
1056C22×C4—42no—
1057C22×C4—44no—
1058C22×C4—44no—
1059C22×C4—44no—
1060C22×C4—44no—
1061C22×C4—44no—
1062C22×C4—44no—
1063C22×C4—44no—
1064C22×C4—44no—
1065C22×C4—44no—
1066C22×C4—44no—
1067C22×C4—44no—
1068C22×C4—44no—
1069C22×C4—42no—
1070C22×C4—42no—
1071C22×C4—42no—
1072C22×C4—44no—
1073C22×C4—42no—
1074C22×C4—44no—
1075C22×C4—42no—
1076C22×C4—44no—
1077C22×C4—44no—
1078C22×C4—42no—
1079C22×C4—816no—
1080C22×C4—816no—
1081C22×C4C2×#4118yes—
1082C22×C4H(5,𝔽2)14yes—
1083C22×C4C2514yes—
1084C22×C4C2512yes—
1085C22×C4C2514yes—
1086C22×C4C2514yes—
1087C22×C4C2514yes—
1088C22×C4C2514yes—
1089C22×C4C2514yes—
1090C22×C4C2514yes—
1091C22×C4C2512yes—
1092C22×C4C2514yes—
1093C22×C4C2512yes—
1094C22×C4C2512yes—
1095C22×C4C2512yes—
1096C22×C4C2514yes—
1097C22×C4C2512yes—
1098C22×C4C2511yescharacteristic
1099C22×C4C2511yescharacteristic
1100C4⋊C4—28no—
1101C4⋊C4—28no—
1102C4⋊C4—28no—
1103C4⋊C4—28no—
1104C4⋊C4—28no—
1105C4⋊C4—28no—
1106C4⋊C4—24no—
1107C4⋊C4—28no—
1108C4⋊C4—28no—
1109C4⋊C4—28no—
1110C4⋊C4—28no—
1111C4⋊C4—41no—
1112C4⋊C4—42no—
1113C4⋊C4—41no—
1114C4⋊C4—44no—
1115C4⋊C4—44no—
1116C4⋊C4—44no—
1117C4⋊C4—44no—
1118C4⋊C4—44no—
1119C4⋊C4—42no—
1120C4⋊C4—42no—
1121C4⋊C4—44no—
1122C4⋊C4—42no—
1123C4⋊C4—44no—
1124C4⋊C4—44no—
1125C4⋊C4—42no—
1126C4⋊C4—44no—
1127C4⋊C4—44no—
1128C4⋊C4—44no—
1129C4⋊C4—44no—
1130C4⋊C4C2×#4118yes—
1131C22⋊C4—28no—
1132C22⋊C4—28no—
1133C22⋊C4—28no—
1134C22⋊C4—28no—
1135C22⋊C4—28no—
1136C22⋊C4—28no—
1137C22⋊C4—28no—
1138C22⋊C4—28no—
1139C22⋊C4—28no—
1140C22⋊C4—24no—
1141C22⋊C4—24no—
1142C22⋊C4—28no—
1143C22⋊C4—28no—
1144C22⋊C4—28no—
1145C22⋊C4—28no—
1146C22⋊C4—28no—
1147C22⋊C4—28no—
1148C22⋊C4—28no—
1149C22⋊C4—28no—
1150C22⋊C4—28no—
1151C22⋊C4—28no—
1152C22⋊C4—44no—
1153C22⋊C4—44no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—44no—
1159C22⋊C4—44no—
1160C22⋊C4—44no—
1161C22⋊C4—44no—
1162C22⋊C4—44no—
1163C22⋊C4—44no—
1164C22⋊C4—44no—
1165C22⋊C4—44no—
1166C22⋊C4—44no—
1167C22⋊C4—44no—
1168C22⋊C4—44no—
1169C22⋊C4—44no—
1170C22⋊C4—44no—
1171C22⋊C4—44no—
1172C22⋊C4—44no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—42no—
1190C22⋊C4—44no—
1191C22⋊C4C2×#41116yes—
1192C42—28no—
1193C42—28no—
1194C42—24no—
1195C42—24no—
1196C42—24no—
1197C42—28no—
1198C42—22no—
1199C42—22no—
1200C42—44no—
1201C42—42no—
1202C42—42no—
1203C42—44no—
1204C42—44no—
1205C42—44no—
1206C42—44no—
1207C42—44no—
1208C42—44no—
1209C42—44no—
1210C23—21no—
1211C23—21no—
1212C23—22no—
1213C23—24no—
1214C23—24no—
1215C23—24no—
1216C23—24no—
1217C23—22no—
1218C23—24no—
1219C23—22no—
1220C23—24no—
1221C23—24no—
1222C23—24no—
1223C23—24no—
1224C23—24no—
1225C23—24no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—24no—
1236C23—24no—
1237C23—24no—
1238C23—48no—
1239C23—48no—
1240C23—416no—
1241C23—416no—
1242C23—48no—
1243C23—48no—
1244C23—48no—
1245C23—84no—
1246C23—88no—
1247C23—88no—
1248C23—84no—
1249C23—88no—
1250C23—84no—
1251C23—88no—
1252C23—88no—
1253C23—84no—
1254C23—88no—
1255C23—84no—
1256C23—162no—
1257C23—162no—
1258C23C22×#4118yes—
1259C23C22×#4114yes—
1260C23C2×H(5,𝔽2)14yes—
1261C23C2×H(5,𝔽2)12yes—
1262C23C2611yescharacteristic
1263Q8—84no—
1264Q8—84no—
1265Q8—84no—
1266D4—232no—
1267D4—44no—
1268D4—48no—
1269D4—48no—
1270D4—416no—
1271D4—416no—
1272D4—416no—
1273D4—416no—
1274D4—44no—
1275D4—416no—
1276D4—88no—
1277D4—88no—
1278D4—82no—
1279D4—82no—
1280D4—84no—
1281D4—88no—
1282D4—88no—
1283D4—88no—
1284C2×C4—28no—
1285C2×C4—24no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—22no—
1289C2×C4—24no—
1290C2×C4—22no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—22no—
1294C2×C4—24no—
1295C2×C4—22no—
1296C2×C4—24no—
1297C2×C4—24no—
1298C2×C4—24no—
1299C2×C4—24no—
1300C2×C4—24no—
1301C2×C4—24no—
1302C2×C4—22no—
1303C2×C4—24no—
1304C2×C4—24no—
1305C2×C4—24no—
1306C2×C4—22no—
1307C2×C4—24no—
1308C2×C4—24no—
1309C2×C4—24no—
1310C2×C4—24no—
1311C2×C4—24no—
1312C2×C4—22no—
1313C2×C4—24no—
1314C2×C4—24no—
1315C2×C4—24no—
1316C2×C4—24no—
1317C2×C4—24no—
1318C2×C4—24no—
1319C2×C4—24no—
1320C2×C4—24no—
1321C2×C4—24no—
1322C2×C4—24no—
1323C2×C4—24no—
1324C2×C4—24no—
1325C2×C4—24no—
1326C2×C4—44no—
1327C2×C4—48no—
1328C2×C4—48no—
1329C2×C4—48no—
1330C2×C4—48no—
1331C2×C4—48no—
1332C2×C4—44no—
1333C2×C4—84no—
1334C2×C4—84no—
1335C2×C4—88no—
1336C2×C4—88no—
1337C2×C4—84no—
1338C2×C4—88no—
1339C2×C4—84no—
1340C2×C4—84no—
1341C2×C4—84no—
1342C2×C4—88no—
1343C2×C4—84no—
1344C2×C4—162no—
1345C2×C4—164no—
1346C2×C4—162no—
1347C2×C4C22×#4114yes—
1348C2×C4C22×#4118yes—
1349C2×C4C22×#4114yes—
1350C2×C4C2×H(5,𝔽2)14yes—
1351C2×C4C2×H(5,𝔽2)12yes—
1352C2×C4#58512yes—
1353C22—24no—
1354C22—24no—
1355C22—22no—
1356C22—22no—
1357C22—28no—
1358C22—28no—
1359C22—28no—
1360C22—24no—
1361C22—28no—
1362C22—44no—
1363C22—44no—
1364C22—44no—
1365C22—44no—
1366C22—42no—
1367C22—44no—
1368C22—42no—
1369C22—44no—
1370C22—44no—
1371C22—44no—
1372C22—44no—
1373C22—44no—
1374C22—44no—
1375C22—42no—
1376C22—42no—
1377C22—42no—
1378C22—42no—
1379C22—42no—
1380C22—42no—
1381C22—42no—
1382C22—42no—
1383C22—42no—
1384C22—816no—
1385C22—816no—
1386C22—168no—
1387C22—168no—
1388C22#348114yes—
1389C22C23×#4112yes—
1390C22C22×H(5,𝔽2)11yescharacteristic
1391C22C22×H(5,𝔽2)11yescharacteristic
1392C22C2×#58511yescharacteristic
1393C22H(7,𝔽2)12yes—
1394C4—24no—
1395C4—24no—
1396C4—22no—
1397C4—22no—
1398C4—24no—
1399C4—28no—
1400C4—44no—
1401C4—44no—
1402C4—44no—
1403C4—44no—
1404C4—44no—
1405C4—44no—
1406C4—44no—
1407C4—42no—
1408C4—42no—
1409C4—44no—
1410C4—42no—
1411C2—24no—
1412C2—44no—
1413C2—48no—
1414C2—82no—
1415C2—82no—
1416C2—82no—
1417C2C2×#348111yescharacteristic
1418C2#6281811yescharacteristic
1419C2#6286211yescharacteristic
1420C2#6298312yes—
1421C2#6301012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59126C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60031C2semidirect
2. #60003C2semidirect
3. #59940C2semidirect
4. #59886C2semidirect
5. #59846C2semidirect
6. #59802C2semidirect
7. #59775C2semidirect
8. #59623C2semidirect
9. #59162C2semidirect
10. #59143C2semidirect
12. #44428C2semidirect
13. #44329C2semidirect
14. #44238C2semidirect
15. #44192C2semidirect
16. #43084C2semidirect
17. #43005C2semidirect
18. #35451C2semidirect
19. #35375C2semidirect
20. #34956C2semidirect
21. C2×#2544C2semidirect
22. #34290C2semidirect
23. #34278C2semidirect
24. C2×#559C22semidirect
25. C2×#551C22semidirect
30. C22×#124C22semidirect
31. C22×#124C22semidirect
32. C2×#518C22semidirect
33. C22×C4×D4C22semidirect
34. C22×C4×D4C22semidirect
35. #2806C22semidirect
36. #2805C22semidirect
37. #2804C22semidirect
38. #2800C22semidirect
39. #2800C22semidirect
40. #2797C22semidirect
41. #2797C22semidirect
42. #2797C22semidirect
43. #2761C22semidirect
44. #2761C22semidirect
45. #2748C22semidirect
46. #2732C22semidirect
47. #2730C22semidirect
48. #2717C22semidirect
49. #2711C22semidirect
50. #2711C22semidirect
52. #2709C22semidirect
53. #2709C22semidirect
54. #2709C22semidirect
55. #2697C22semidirect
56. #2691C22semidirect
57. #2691C22semidirect
58. #2685C22semidirect
59. #2685C22semidirect
60. #2684C22semidirect
61. #2672C22semidirect
62. #2672C22semidirect
65. #2610C22semidirect
66. #2603C22semidirect
67. #2600C22semidirect
68. #2600C22semidirect
69. #2600C22semidirect
70. #2600C22semidirect
71. #2597C22semidirect
72. #2597C22semidirect
73. #2597C22semidirect
74. #2595C22semidirect
75. #2589C22semidirect
76. #2579C22semidirect
77. #2579C22semidirect
78. #2579C22semidirect
79. #2574C22semidirect
80. #2569C22semidirect
81. #2564C22semidirect
82. #2559C22semidirect
83. #2559C22semidirect
84. #2559C22semidirect
85. #2557C22semidirect
86. #2557C22semidirect
87. #2554C22semidirect
88. #2548C22semidirect
90. #2544C22semidirect
91. #2544C22semidirect
92. #2544C22semidirect
93. #2544C22semidirect
94. #2544C22semidirect
95. #2544C22semidirect
97. #2534C22semidirect
98. #2534C22semidirect
99. #2534C22semidirect
100. #2534C22semidirect
101. #2531C22semidirect
102. #2531C22semidirect
103. #2526C22semidirect
104. #2521C22semidirect
105. #2521C22semidirect
106. #2520C22semidirect
107. #2516C22semidirect
108. #2483C22semidirect
109. #2483C22semidirect
110. #2480C22semidirect
111. #2480C22semidirect
112. #2479C22semidirect
113. #2476C22semidirect
114. #2474C22semidirect
115. #2474C22semidirect
116. #2474C22semidirect
117. #2472C22semidirect
118. #2472C22semidirect
119. #2472C22semidirect
120. #2472C22semidirect
121. #2472C22semidirect
122. #2471C22semidirect
123. #2471C22semidirect
124. #2467C22semidirect
125. #2466C22semidirect
126. #2466C22semidirect
127. #2465C22semidirect
128. #2461C22semidirect
129. #2461C22semidirect
130. #2461C22semidirect
131. #2460C22semidirect
132. #2460C22semidirect
133. #2459C22semidirect
134. #2459C22semidirect
135. #2459C22semidirect
136. #2450C22semidirect
137. #2445C22semidirect
138. #2444C22semidirect
139. #2444C22semidirect
140. #2444C22semidirect
141. #2435C22semidirect
144. #2425C22semidirect
145. #2418C22semidirect
146. #2418C22semidirect
147. #2411C22semidirect
148. #2409C22semidirect
150. #2405C22semidirect
151. #2405C22semidirect
152. #2405C22semidirect
153. #2405C22semidirect
154. #2405C22semidirect
155. #2405C22semidirect
158. #2392C22semidirect
159. #2392C22semidirect
160. C2×#394C22semidirect
161. #2374C22semidirect
162. #2374C22semidirect
163. #2373C22semidirect
164. #2373C22semidirect
165. #2372C22semidirect
166. #2371C22semidirect
167. #2370C22semidirect
168. #2368C22semidirect
169. #2368C22semidirect
171. #2366C22semidirect
172. #2366C22semidirect
174. #2364C22semidirect
175. #2363C22semidirect
176. #2362C22semidirect
177. #2361C22semidirect
178. #2359C22semidirect
179. #2358C22semidirect
180. #2358C22semidirect
181. #2358C22semidirect
182. #2358C22semidirect
183. #2358C22semidirect
184. #2352C22semidirect
185. #2349C22semidirect
186. D4×C22⋊C4C22semidirect
187. D4×C22⋊C4C22semidirect
188. D4×C22⋊C4C22semidirect
189. D4×C22⋊C4C22semidirect
190. #2329C22semidirect
191. #2328C22semidirect
193. #2325C22semidirect
194. #2324C22semidirect
195. #2322C22semidirect
196. #2321C22semidirect
197. #2321C22semidirect
198. #2313C22semidirect
199. #2312C22semidirect
200. C4×C22⋊Q8C22semidirect
201. C4×#123C22semidirect
202. C4×#123C22semidirect
203. C4×#123C22semidirect
205. C4×#121C22semidirect
206. C4×#120C22semidirect
207. C4×#120C22semidirect
208. C4×#120C22semidirect
209. C4×#120C22semidirect
210. C2×#391C22semidirect
211. C2×#390C22semidirect
212. #2290C22semidirect
213. #2290C22semidirect
214. C2×#386C22semidirect
215. C2×#386C22semidirect
216. #2280C22semidirect
217. #2275C22semidirect
218. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#600312
#600032
#599402
#598862
#598462
#598022
#597752
#596232
#591622
#591432
#591262
#444282
#443292
#442382
#441922
#430842
#430052
#354512
#353752
#349562
C2×#25442
#342902
#342782