Finite Group Databasebeta

← #7683854

Subgroups — #7683854

Order 512.

6296 conjugacy classes of subgroups.

The subgroup lattice has 1429 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60035C212yesmaximal, complemented
2#59988C212yesmaximal, complemented
3#59941C212yesmaximal, complemented
4#59861C211yesmaximal, characteristic, complemented
5#59814C211yesmaximal, characteristic, complemented
6#59780C214yesmaximal, complemented
7#59179C212yesmaximal, complemented
8#59162C212yesmaximal, complemented
9#59136C212yesmaximal, complemented
10#59107C212yesmaximal, complemented
11#59074C214yesmaximal, complemented
12#44281C214yesmaximal, complemented
13#44259C214yesmaximal, complemented
14#44217C214yesmaximal, complemented
15#44172C214yesmaximal, complemented
16#43941C214yesmaximal, complemented
17#43910C214yesmaximal, complemented
18#35376C214yesmaximal, complemented
19#35357C212yesmaximal, complemented
20#34736C212yesmaximal, complemented
21C2×#2432C211yesmaximal, characteristic, complemented
22#34288C214yesmaximal, complemented
23#34277C212yesmaximal, complemented
24C23×#41C2211yescharacteristic
25C2×#554C2212yescomplemented
26C2×#551C2212yescomplemented
27C2×#546C2214yes—
28C2×#538C2212yes—
29C22×C4⋊Q8C2211yescharacteristic, complemented
30C22×#124C2211yescharacteristic
31C2×#525C2212yes—
32C2×#525C2212yescomplemented
33C22×C22⋊Q8C2211yescharacteristic, complemented
34C2×#520C2212yes—
35C22×C4×D4C2212yescomplemented
36#2808C2212yescomplemented
37#2804C2211yescharacteristic, complemented
38#2801C2214yescomplemented
39#2800C2214yescomplemented
40#2799C2212yescomplemented
41#2795C2214yescomplemented
42#2778C2214yescomplemented
43#2756C2214yescomplemented
44#2753C2214yescomplemented
45#2745C2214yescomplemented
46#2730C2214yescomplemented
47#2729C2214yescomplemented
48#2729C2214yescomplemented
49#2728C2212yescomplemented
50#2724C2211yescharacteristic, complemented
51#2718C2214yescomplemented
52#2717C2212yescomplemented
53#2712C2214yescomplemented
54#2711C2214yescomplemented
55#2710C2214yescomplemented
56#2705C2214yescomplemented
57#2703C2214yescomplemented
58#2702C2214yescomplemented
59#2699C2214yescomplemented
60#2684C2212yescomplemented
61#2683C2211yescharacteristic, complemented
62#2682C2212yescomplemented
63#2679C2211yescharacteristic, complemented
64#2678C2214yescomplemented
65#2676C2214yescomplemented
66#2610C2214yescomplemented
67#2605C2214yescomplemented
68#2602C2214yescomplemented
69#2597C2214yescomplemented
70#2595C2214yescomplemented
71#2593C2214yescomplemented
72#2593C2212yescomplemented
73#2591C2214yescomplemented
74#2589C2214yescomplemented
75#2587C2214yescomplemented
76#2586C2212yescomplemented
77#2578C2214yescomplemented
78#2576C2214yescomplemented
79#2572C2212yescomplemented
80#2567C2212yescomplemented
81#2563C2212yescomplemented
82#2561C2214yescomplemented
83#2560C2214yescomplemented
84#2559C2214yescomplemented
85#2558C2214yescomplemented
86#2557C2214yescomplemented
87#2555C2212yescomplemented
88#2554C2214yescomplemented
89#2550C2214yescomplemented
90#2543C2214yescomplemented
91#2534C2214yes—
92#2534C2214yescomplemented
93#2530C2214yescomplemented
94#2527C2214yescomplemented
95#2527C2214yescomplemented
96#2522C2214yescomplemented
97#2521C2214yescomplemented
98#2518C2214yescomplemented
99#2515C2214yescomplemented
100#2493C2214yescomplemented
101#2492C2214yescomplemented
102#2484C2212yescomplemented
103#2482C2212yescomplemented
104#2480C2214yescomplemented
105#2478C2214yescomplemented
106#2477C2214yescomplemented
107#2477C2214yescomplemented
108#2477C2214yescomplemented
109#2477C2214yescomplemented
110#2475C2214yescomplemented
111#2472C2214yescomplemented
112#2472C2214yescomplemented
113#2470C2214yescomplemented
114#2466C2214yescomplemented
115#2465C2214yescomplemented
116#2465C2214yescomplemented
117#2463C2214yescomplemented
118#2463C2214yescomplemented
119#2461C2214yescomplemented
120#2461C2214yescomplemented
121#2460C2214yescomplemented
122#2459C2214yescomplemented
123#2458C2214yescomplemented
124#2452C2214yescomplemented
125#2450C2214yescomplemented
126#2449C2214yescomplemented
127#2449C2214yescomplemented
128#2443C2214yescomplemented
129#2442C2214yescomplemented
130#2440C2214yescomplemented
131#2438C2214yescomplemented
132#2432C2212yes—
133#2432C2212yes—
134#2432C2214yescomplemented
135#2432C2214yescomplemented
136#2432C2212yescomplemented
137#2432C2212yescomplemented
138#2425C2214yescomplemented
139#2424C2214yescomplemented
140#2424C2214yescomplemented
141#2419C2214yescomplemented
142#2419C2214yescomplemented
143#2418C2214yes—
144#2417C2214yescomplemented
145#2412C2214yescomplemented
146#2409C2214yescomplemented
147#2409C2214yescomplemented
148#2408C2214yes—
149#2407C2214yes—
150#2407C2214yescomplemented
151#2406C2212yes—
152#2406C2212yes—
153#2406C2212yescomplemented
154#2405C2212yes—
155#2405C2212yescomplemented
156#2404C2212yes—
157#2404C2212yes—
158#2404C2212yescomplemented
159#2403C2212yes—
160#2403C2212yescomplemented
161#2388C2214yes—
162#2388C2214yescomplemented
163C2×#394C2214yescomplemented
164#2374C2212yescomplemented
165#2374C2214yescomplemented
166#2373C2214yescomplemented
167#2373C2214yescomplemented
168#2372C2212yescomplemented
169#2372C2214yescomplemented
170#2369C2212yescomplemented
171#2368C2214yescomplemented
172#2367C2214yescomplemented
173#2367C2214yescomplemented
174#2364C2214yescomplemented
175#2363C2214yescomplemented
176#2361C2214yes—
177#2361C2214yescomplemented
178#2361C2214yescomplemented
179#2360C2214yescomplemented
180#2359C2214yescomplemented
181#2359C2214yescomplemented
182#2359C2214yescomplemented
183#2358C2214yes—
184#2358C2214yescomplemented
185#2358C2212yescomplemented
186D4×C4⋊C4C2214yescomplemented
187D4×C4⋊C4C2214yescomplemented
188#2342C2214yescomplemented
189#2342C2214yescomplemented
190#2339C2214yes—
191D4×C22⋊C4C2214yescomplemented
192#2329C2212yescomplemented
193#2326C2214yescomplemented
194#2325C2212yes—
195#2325C2214yescomplemented
196#2324C2214yescomplemented
197#2322C2214yescomplemented
198#2322C2214yescomplemented
199#2321C2214yescomplemented
200#2313C2212yescomplemented
201#2312C2212yescomplemented
202C4×C22⋊Q8C2212yescomplemented
203C4×C22⋊Q8C2214yescomplemented
204C4×#121C2212yes—
205C4×#120C2214yes—
206C4×#120C2214yescomplemented
207C4×#120C2214yescomplemented
208#2297C2212yes—
209#2297C2212yescomplemented
210C2×#391C2211yescharacteristic, complemented
211C2×#390C2211yescharacteristic
212#2290C2214yescomplemented
213#2290C2214yescomplemented
214C2×#385C2214yescomplemented
215C2×#385C2214yescomplemented
216#2280C2212yescomplemented
217#2275C2214yescomplemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C22×#41—44no—
220C22×#41—44no—
221C22×#41—44no—
222C22×#41C2312yes—
223C22×#41C2312yes—
224C22×#41C2312yes—
225C22×#41C2312yes—
226C22×#41C2312yes—
227C23×Q8C2311yescharacteristic
228C23×Q8C2311yescharacteristic
229C23×D4C2312yes—
230C23×D4C2311yescharacteristic
231C23×D4C2312yes—
232C24×C4C2312yes—
233C24×C4C2311yescharacteristic
234C24×C4C2312yes—
235#554—48no—
236#551—48no—
237#546—232no—
238#538—216no—
239C2×C4⋊Q8—44no—
240C2×C4⋊Q8C2312yes—
241C2×C4⋊Q8C2312yes—
242C2×C4⋊Q8C2312yes—
243C2×C4⋊Q8C2312yes—
244C2×#126C2314yes—
245C2×#126C2314yes—
246C2×#125C2314yes—
247C2×#124—44no—
248C2×#124C2314yes—
249C2×#124C2314yes—
250C2×#124C2312yes—
251C2×#124C2312yes—
252C2×#124C2314yes—
253#525—48no—
254#525—48no—
255C2×#123C2314yes—
256C2×#123C2314yes—
257C2×#123C2314yes—
258C2×#123C2312yes—
259C2×#123C2312yes—
260C2×#123C2312yes—
261C2×#123C2312yes—
262C2×#123C2314yes—
263C2×C22⋊Q8—44no—
264C2×C22⋊Q8C2314yes—
265C2×C22⋊Q8C2312yes—
266C2×C22⋊Q8C2314yes—
267C2×C22⋊Q8C2314yes—
268C2×C22⋊Q8C2314yes—
269C2×C22⋊Q8C2314yes—
270C2×C22⋊Q8C2312yes—
271C2×C22⋊Q8C2312yes—
272C2×C22⋊Q8C2314yes—
273C2×C22⋊Q8C2314yes—
274C2×#121C2314yes—
275C2×#121C2314yes—
276C2×#121C2314yes—
277C2×#121C2314yes—
278C2×#121C2314yes—
279C2×#121C2312yes—
280C2×#120C2314yes—
281C2×#120C2314yes—
282C2×#120C2312yes—
283C2×#120C2314yes—
284C2×#120C2312yes—
285C2×#120C2312yes—
286C2×#120C2312yes—
287#520—48no—
288C2×C4×Q8C2312yes—
289C2×C4×Q8C2314yes—
290C2×C4×D4—48no—
291C2×C4×D4C2314yes—
292C2×C4×D4C2314yes—
293C2×C4×D4C2314yes—
294C2×C4×D4C2314yes—
295C2×C4×D4C2312yes—
296C2×C4×D4C2314yes—
297C2×C4×D4C2314yes—
298C2×C4×D4C2314yes—
299C2×C4×D4C2314yes—
300C2×C4×D4C2314yes—
301C2×C4×D4C2314yes—
302C2×C4×D4C2314yes—
303C2×C4×D4C2314yes—
304C2×C4×D4C2314yes—
305C2×C4×D4C2314yes—
306C2×C4×D4C2314yes—
307C2×#117C2314yes—
308C2×#117C2312yes—
309C2×#117C2314yes—
310C2×#117C2312yes—
311C2×#117C2312yes—
312C22×C4⋊C4C2312yes—
313C22×C4⋊C4C2314yes—
314C22×C4⋊C4C2314yes—
315C22×C4⋊C4C2312yes—
316C22×C4⋊C4C2314yes—
317C22×C4⋊C4C2311yescharacteristic
318C22×C22⋊C4C2314yes—
319C22×C22⋊C4C2312yes—
320C22×C22⋊C4C2314yes—
321C22×C22⋊C4C2314yes—
322C22×C22⋊C4C2314yes—
323C22×C22⋊C4C2312yes—
324C22×C22⋊C4C2312yes—
325C22×C22⋊C4C2312yes—
326C22×C42C2312yes—
327C22×C42C2311yescharacteristic
328C22×C42C2311yescharacteristic
329#401C2314yes—
330#400C2312yes—
331#400C2314yes—
332#400C2314yes—
333#400C2314yes—
334#400C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2312yes—
338#399C2314yes—
339#399C2314yes—
340#398C2314yes—
341#398C2312yes—
342#398C2314yes—
343#398C2314yes—
344#398C2312yes—
345#398C2314yes—
346#398C2314yes—
347#397C2314yes—
348#397C2314yes—
349#397C2314yes—
350#397C2314yes—
351#397C2314yes—
352#397C2314yes—
353#397C2314yes—
354#397C2314yes—
355#397C2314yes—
356#396C2314yes—
357#396C2314yes—
358#396C2314yes—
359#396C2314yes—
360#396C2314yes—
361#396C2314yes—
362#396C2314yes—
363#395C2314yes—
364#395C2314yes—
365#395C2312yes—
366#395C2312yes—
367#395C2314yes—
368#395C2314yes—
369#394C2314yes—
370#394C2312yes—
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#394C2312yes—
388#394C2314yes—
389#394C2314yes—
390#394C2314yes—
391#393C2314yes—
392#393C2314yes—
393#393C2314yes—
394#393C2314yes—
395#393C2314yes—
396#393C2314yes—
397#393C2314yes—
398#392C2314yes—
399#392C2314yes—
400#392C2314yes—
401#392C2314yes—
402#392C2314yes—
403#392C2314yes—
404#392C2314yes—
405#391C2314yes—
406#391C2314yes—
407#391C2312yes—
408#391C2314yes—
409#391C2314yes—
410#391C2312yes—
411#391C2314yes—
412#391C2312yes—
413#391C2314yes—
414#391C2314yes—
415#391C2312yes—
416#391C2314yes—
417#391C2312yes—
418#390C2314yes—
419#390C2314yes—
420#390C2314yes—
421#390C2314yes—
422#390C2314yes—
423#390C2314yes—
424#390C2314yes—
425#390C2311yescharacteristic
426#390C2314yes—
427#390C2314yes—
428#390C2311yescharacteristic
429#390C2312yes—
430#390C2311yescharacteristic
431#390C2311yescharacteristic
432#389C2314yes—
433#389C2314yes—
434#389C2314yes—
435#389C2314yes—
436#389C2314yes—
437#389C2314yes—
438#389C2314yes—
439#389C2314yes—
440#389C2312yes—
441#389C2314yes—
442#389C2314yes—
443#389C2312yes—
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#388C2314yes—
469#388C2314yes—
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#387C2314yes—
484#387C2314yes—
485#387C2314yes—
486#387C2314yes—
487#387C2314yes—
488#387C2314yes—
489#387C2314yes—
490#387C2314yes—
491#387C2314yes—
492#387C2314yes—
493#387C2314yes—
494#387C2314yes—
495#387C2314yes—
496#387C2314yes—
497#387C2314yes—
498#387C2314yes—
499#387C2314yes—
500#387C2314yes—
501#387C2314yes—
502#387C2314yes—
503#387C2314yes—
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#386C2312yes—
521#386C2312yes—
522#386C2314yes—
523#386C2312yes—
524#386C2314yes—
525#386C2314yes—
526#386C2314yes—
527#386C2312yes—
528#386C2314yes—
529#386C2312yes—
530#386C2312yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yes—
534#386C2312yes—
535#386C2314yes—
536#385C2314yes—
537#385C2314yes—
538#385C2314yes—
539#385C2314yes—
540#385C2314yes—
541#385C2314yes—
542#385C2314yes—
543#385C2314yes—
544#385C2314yes—
545#385C2314yes—
546#385C2314yes—
547#385C2314yes—
548#385C2314yes—
549#385C2314yes—
550#385C2314yes—
551#385C2314yes—
552#385C2314yes—
553#385C2314yes—
554#385C2314yes—
555#385C2314yes—
556#385C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#384C2314yes—
567#383C2314yes—
568#382C2314yes—
569#381C2312yes—
570#381C2314yes—
571#381C2312yes—
572#381C2314yes—
573#381C2314yes—
574#381C2312yes—
575#381C2312yes—
576#380C2314yes—
577#380C2314yes—
578#380C2312yes—
579#380C2312yes—
580#380C2314yes—
581#380C2314yes—
582#380C2314yes—
583#380C2314yes—
584#380C2314yes—
585#379C2312yes—
586#379C2314yes—
587#379C2314yes—
588#379C2314yes—
589#379C2312yes—
590C4×C4⋊C4C2314yes—
591C4×C4⋊C4C2312yes—
592C4×C4⋊C4C2312yes—
593C4×C4⋊C4C2314yes—
594C4×C4⋊C4C2314yes—
595C4×C4⋊C4C2314yes—
596C4×C4⋊C4C2314yes—
597C4×C4⋊C4C2314yes—
598C4×C4⋊C4C2314yes—
599C4×C4⋊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⋊C4C2314yes—
609C4×C22⋊C4C2314yes—
610C4×C22⋊C4C2314yes—
611C4×C22⋊C4C2314yes—
612C4×C22⋊C4C2314yes—
613C4×C22⋊C4C2314yes—
614C4×C22⋊C4C2314yes—
615C4×C22⋊C4C2314yes—
616C4×C22⋊C4C2312yes—
617C4×C22⋊C4C2314yes—
618C4×C22⋊C4C2312yes—
619C4×C22⋊C4C2314yes—
620C4×C22⋊C4C2314yes—
621C4×C22⋊C4C2314yes—
622#376C2314yes—
623#376C2314yes—
624C2×#95C2312yes—
625C2×#95C2314yes—
626C2×#95C2314yes—
627C2×#95C2314yes—
628C25C2412yes—
629C25C2412yes—
630C25C2411yescharacteristic
631C2×#41—28no—
632C2×#41—216no—
633C2×#41—28no—
634C2×#41—44no—
635C2×#41—44no—
636C2×#41—44no—
637C2×#41—44no—
638C2×#41—44no—
639C2×#41—44no—
640C2×#41—44no—
641C2×#41—44no—
642C2×#41—44no—
643C2×#41—44no—
644C2×#41—44no—
645C2×#41—464no—
646C22×Q8—24no—
647C22×Q8—42no—
648C22×Q8—42no—
649C22×Q8—42no—
650C22×Q8—42no—
651C22×Q8—42no—
652C22×Q8C2412yes—
653C22×Q8C2412yes—
654C22×Q8C2412yes—
655C22×Q8C2412yes—
656C22×Q8C2412yes—
657C22×Q8C2411yescharacteristic
658C22×Q8C2411yescharacteristic
659C22×D4—216no—
660C22×D4—24no—
661C22×D4—42no—
662C22×D4—44no—
663C22×D4—42no—
664C22×D4—44no—
665C22×D4—44no—
666C22×D4—44no—
667C22×D4C2414yes—
668C22×D4C2412yes—
669C22×D4C2414yes—
670C22×D4C2412yes—
671C22×D4C2412yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C22×D4C2412yes—
677C22×D4C2412yes—
678C22×D4C2411yescharacteristic
679C22×D4C2412yes—
680C22×D4C2412yes—
681C22×D4C2411yescharacteristic
682C23×C4—28no—
683C23×C4—24no—
684C23×C4—42no—
685C23×C4—42no—
686C23×C4—44no—
687C23×C4—44no—
688C23×C4—44no—
689C23×C4—44no—
690C23×C4—44no—
691C23×C4C2412yes—
692C23×C4C2411yescharacteristic
693C23×C4C2412yes—
694C23×C4C2414yes—
695C23×C4C2412yes—
696C23×C4C2412yes—
697C23×C4C2412yes—
698C23×C4C2412yes—
699C23×C4C2412yes—
700C23×C4C2412yes—
701C23×C4C2412yes—
702C23×C4C2412yes—
703C23×C4C2414yes—
704C23×C4C2412yes—
705C23×C4C2414yes—
706C23×C4C2414yes—
707C23×C4C2414yes—
708C23×C4C2412yes—
709C23×C4C2412yes—
710C23×C4C2414yes—
711C23×C4C2412yes—
712C23×C4C2411yescharacteristic
713C4⋊Q8—28no—
714C4⋊Q8—44no—
715C4⋊Q8—44no—
716C4⋊Q8—44no—
717#126—216no—
718#126—48no—
719#125—48no—
720#124—28no—
721#124—216no—
722#124—216no—
723#124—44no—
724#124—48no—
725#123—216no—
726#123—28no—
727#123—216no—
728#123—216no—
729#123—48no—
730#123—44no—
731#123—44no—
732#123—44no—
733C22⋊Q8—216no—
734C22⋊Q8—28no—
735C22⋊Q8—216no—
736C22⋊Q8—48no—
737C22⋊Q8—48no—
738C22⋊Q8—48no—
739C22⋊Q8—48no—
740C22⋊Q8—44no—
741C22⋊Q8—48no—
742C22⋊Q8—44no—
743#121—216no—
744#121—216no—
745#121—216no—
746#121—48no—
747#121—48no—
748#121#41116yescomplemented
749#120—216no—
750#120—216no—
751#120—216no—
752#120—28no—
753#120—44no—
754#120—44no—
755#120—44no—
756C4×Q8—48no—
757C4×Q8—44no—
758C4×D4—216no—
759C4×D4—216no—
760C4×D4—216no—
761C4×D4—216no—
762C4×D4—44no—
763C4×D4—48no—
764C4×D4—48no—
765C4×D4—48no—
766C4×D4—48no—
767C4×D4—48no—
768C4×D4—48no—
769C4×D4—48no—
770C4×D4—48no—
771C4×D4—48no—
772C4×D4—48no—
773C4×D4—48no—
774#117—48no—
775#117—48no—
776#117—44no—
777#117—44no—
778#117—44no—
779C2×C4⋊C4—28no—
780C2×C4⋊C4—44no—
781C2×C4⋊C4—48no—
782C2×C4⋊C4—48no—
783C2×C4⋊C4—48no—
784C2×C4⋊C4—42no—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2414yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2412yes—
800C2×C4⋊C4C2412yes—
801C2×C4⋊C4C2412yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2412yes—
806C2×C4⋊C4C2411yescharacteristic
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2412yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2412yes—
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2412yes—
822C2×C22⋊C4—28no—
823C2×C22⋊C4—216no—
824C2×C22⋊C4—216no—
825C2×C22⋊C4—44no—
826C2×C22⋊C4—44no—
827C2×C22⋊C4—48no—
828C2×C22⋊C4—48no—
829C2×C22⋊C4—44no—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2412yes—
845C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2412yes—
866C2×C22⋊C4C2412yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C42—44no—
881C2×C42—42no—
882C2×C42—42no—
883C2×C42C2412yes—
884C2×C42C2414yes—
885C2×C42C2414yes—
886C2×C42C2412yes—
887C2×C42C2414yes—
888C2×C42C2414yes—
889C2×C42C2414yes—
890C2×C42C2414yes—
891C2×C42C2414yes—
892C2×C42C2414yes—
893C2×C42C2414yes—
894C2×C42C2414yes—
895C2×C42C2412yes—
896C2×C42C2411yescharacteristic
897C2×C42C2411yescharacteristic
898C2×C42C2414yes—
899C2×C42C2414yes—
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—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2412yes—
939#95C2412yes—
940#95C2414yes—
941#95C2414yes—
942#95C2412yes—
943#95C2412yes—
944C24—22no—
945C24—24no—
946C24—28no—
947C24—28no—
948C24—24no—
949C24—24no—
950C24—24no—
951C24—42no—
952C24—42no—
953C24—41no—
954C24—41no—
955C24—44no—
956C24—42no—
957C24—44no—
958C24—42no—
959C24C2512yes—
960C24C2512yes—
961C24C2514yes—
962C24C2512yes—
963C24C2511yescharacteristic
964#41—432no—
965#41—432no—
966#41—432no—
967#41—432no—
968#41—432no—
969C2×Q8—28no—
970C2×Q8—24no—
971C2×Q8—24no—
972C2×Q8—24no—
973C2×Q8—22no—
974C2×Q8—24no—
975C2×Q8—24no—
976C2×Q8—42no—
977C2×Q8—41no—
978C2×Q8—42no—
979C2×Q8—41no—
980C2×Q8—41no—
981C2×Q8—41no—
982C2×Q8—42no—
983C2×Q8—42no—
984C2×Q8—42no—
985C2×Q8—42no—
986C2×Q8—42no—
987C2×Q8—42no—
988C2×Q8—416no—
989C2×Q8—88no—
990C2×Q8H(5,𝔽2)14yes—
991C2×D4—28no—
992C2×D4—28no—
993C2×D4—28no—
994C2×D4—28no—
995C2×D4—28no—
996C2×D4—28no—
997C2×D4—24no—
998C2×D4—24no—
999C2×D4—24no—
1000C2×D4—28no—
1001C2×D4—28no—
1002C2×D4—28no—
1003C2×D4—28no—
1004C2×D4—24no—
1005C2×D4—24no—
1006C2×D4—24no—
1007C2×D4—22no—
1008C2×D4—42no—
1009C2×D4—44no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—41no—
1014C2×D4—41no—
1015C2×D4—41no—
1016C2×D4—42no—
1017C2×D4—41no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—44no—
1026C2×D4—416no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—432no—
1034C2×D4—432no—
1035C2×D4C2×#41116yes—
1036C2×D4C2×#4118yescomplemented
1037C2×D4H(5,𝔽2)14yes—
1038C22×C4—22no—
1039C22×C4—24no—
1040C22×C4—24no—
1041C22×C4—22no—
1042C22×C4—22no—
1043C22×C4—24no—
1044C22×C4—28no—
1045C22×C4—28no—
1046C22×C4—24no—
1047C22×C4—24no—
1048C22×C4—24no—
1049C22×C4—24no—
1050C22×C4—28no—
1051C22×C4—24no—
1052C22×C4—24no—
1053C22×C4—28no—
1054C22×C4—28no—
1055C22×C4—24no—
1056C22×C4—24no—
1057C22×C4—24no—
1058C22×C4—24no—
1059C22×C4—24no—
1060C22×C4—24no—
1061C22×C4—24no—
1062C22×C4—24no—
1063C22×C4—24no—
1064C22×C4—28no—
1065C22×C4—28no—
1066C22×C4—28no—
1067C22×C4—42no—
1068C22×C4—42no—
1069C22×C4—44no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—42no—
1073C22×C4—42no—
1074C22×C4—42no—
1075C22×C4—42no—
1076C22×C4—42no—
1077C22×C4—42no—
1078C22×C4—42no—
1079C22×C4—42no—
1080C22×C4—42no—
1081C22×C4—42no—
1082C22×C4—42no—
1083C22×C4—42no—
1084C22×C4—44no—
1085C22×C4—42no—
1086C22×C4—44no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—42no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—42no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—432no—
1100C22×C4—416no—
1101C22×C4—816no—
1102C22×C4C2×#4118yes—
1103C22×C4H(5,𝔽2)14yes—
1104C22×C4C2514yes—
1105C22×C4C2514yes—
1106C22×C4C2514yes—
1107C22×C4C2514yes—
1108C22×C4C2514yes—
1109C22×C4C2512yes—
1110C22×C4C2512yes—
1111C22×C4C2512yes—
1112C22×C4C2514yes—
1113C22×C4C2514yes—
1114C22×C4C2514yes—
1115C22×C4C2514yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2511yescharacteristic
1120C22×C4C2511yescharacteristic
1121C22×C4C2512yes—
1122C4⋊C4—28no—
1123C4⋊C4—28no—
1124C4⋊C4—28no—
1125C4⋊C4—28no—
1126C4⋊C4—28no—
1127C4⋊C4—24no—
1128C4⋊C4—28no—
1129C4⋊C4—28no—
1130C4⋊C4—28no—
1131C4⋊C4—28no—
1132C4⋊C4—28no—
1133C4⋊C4—28no—
1134C4⋊C4—28no—
1135C4⋊C4—28no—
1136C4⋊C4—28no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—44no—
1140C4⋊C4—44no—
1141C4⋊C4—41no—
1142C4⋊C4—42no—
1143C4⋊C4—41no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—42no—
1148C4⋊C4—42no—
1149C4⋊C4—44no—
1150C4⋊C4—42no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—42no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4C2×#4118yescomplemented
1159C22⋊C4—28no—
1160C22⋊C4—28no—
1161C22⋊C4—28no—
1162C22⋊C4—28no—
1163C22⋊C4—28no—
1164C22⋊C4—28no—
1165C22⋊C4—28no—
1166C22⋊C4—28no—
1167C22⋊C4—28no—
1168C22⋊C4—24no—
1169C22⋊C4—24no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
1174C22⋊C4—28no—
1175C22⋊C4—28no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—28no—
1180C22⋊C4—28no—
1181C22⋊C4—28no—
1182C22⋊C4—28no—
1183C22⋊C4—28no—
1184C22⋊C4—28no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4C2×#41116yescomplemented
1209C42—28no—
1210C42—28no—
1211C42—24no—
1212C42—28no—
1213C42—24no—
1214C42—44no—
1215C42—42no—
1216C42—41no—
1217C42—41no—
1218C42—44no—
1219C42—44no—
1220C42—44no—
1221C42—44no—
1222C42—44no—
1223C42—44no—
1224C42—44no—
1225C42—44no—
1226C23—21no—
1227C23—21no—
1228C23—22no—
1229C23—24no—
1230C23—24no—
1231C23—24no—
1232C23—24no—
1233C23—24no—
1234C23—22no—
1235C23—22no—
1236C23—24no—
1237C23—24no—
1238C23—24no—
1239C23—24no—
1240C23—24no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—22no—
1247C23—24no—
1248C23—24no—
1249C23—48no—
1250C23—48no—
1251C23—416no—
1252C23—416no—
1253C23—44no—
1254C23—44no—
1255C23—48no—
1256C23—44no—
1257C23—84no—
1258C23—88no—
1259C23—84no—
1260C23—84no—
1261C23—84no—
1262C23—88no—
1263C23—84no—
1264C23C22×#4118yes—
1265C23C22×#4114yes—
1266C23C2×H(5,𝔽2)14yes—
1267C23C2×H(5,𝔽2)12yes—
1268C23C2611yescharacteristic
1269Q8—44no—
1270Q8—48no—
1271Q8—48no—
1272Q8—44no—
1273Q8—84no—
1274Q8—84no—
1275Q8—84no—
1276D4—232no—
1277D4—44no—
1278D4—48no—
1279D4—416no—
1280D4—48no—
1281D4—48no—
1282D4—48no—
1283D4—44no—
1284D4—416no—
1285D4—48no—
1286D4—48no—
1287D4—48no—
1288D4—88no—
1289D4—88no—
1290D4—88no—
1291C2×C4—216no—
1292C2×C4—28no—
1293C2×C4—24no—
1294C2×C4—22no—
1295C2×C4—24no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—24no—
1308C2×C4—24no—
1309C2×C4—24no—
1310C2×C4—24no—
1311C2×C4—24no—
1312C2×C4—24no—
1313C2×C4—24no—
1314C2×C4—24no—
1315C2×C4—24no—
1316C2×C4—24no—
1317C2×C4—24no—
1318C2×C4—22no—
1319C2×C4—24no—
1320C2×C4—24no—
1321C2×C4—24no—
1322C2×C4—24no—
1323C2×C4—24no—
1324C2×C4—24no—
1325C2×C4—24no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—24no—
1330C2×C4—22no—
1331C2×C4—24no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—24no—
1335C2×C4—24no—
1336C2×C4—24no—
1337C2×C4—24no—
1338C2×C4—44no—
1339C2×C4—48no—
1340C2×C4—48no—
1341C2×C4—48no—
1342C2×C4—48no—
1343C2×C4—48no—
1344C2×C4—48no—
1345C2×C4—48no—
1346C2×C4—416no—
1347C2×C4—48no—
1348C2×C4—48no—
1349C2×C4—88no—
1350C2×C4—88no—
1351C2×C4—88no—
1352C2×C4—84no—
1353C2×C4—88no—
1354C2×C4—84no—
1355C2×C4—84no—
1356C2×C4—84no—
1357C2×C4—164no—
1358C2×C4C22×#4114yes—
1359C2×C4C22×#4118yes—
1360C2×C4C22×#4114yes—
1361C2×C4C2×H(5,𝔽2)12yes—
1362C2×C4C2×H(5,𝔽2)12yes—
1363C2×C4C2×H(5,𝔽2)14yes—
1364C2×C4C2×H(5,𝔽2)14yes—
1365C22—24no—
1366C22—24no—
1367C22—22no—
1368C22—22no—
1369C22—28no—
1370C22—28no—
1371C22—28no—
1372C22—24no—
1373C22—28no—
1374C22—44no—
1375C22—44no—
1376C22—44no—
1377C22—44no—
1378C22—42no—
1379C22—44no—
1380C22—42no—
1381C22—44no—
1382C22—44no—
1383C22—44no—
1384C22—44no—
1385C22—42no—
1386C22—42no—
1387C22—42no—
1388C22—42no—
1389C22—42no—
1390C22—42no—
1391C22—816no—
1392C22—88no—
1393C22—816no—
1394C22#348114yes—
1395C22C23×#4112yes—
1396C22C22×H(5,𝔽2)11yescharacteristic
1397C22C22×H(5,𝔽2)11yescharacteristic
1398C22C22×H(5,𝔽2)11yescharacteristic
1399C222−1+612yes—
1400C4—24no—
1401C4—24no—
1402C4—24no—
1403C4—24no—
1404C4—22no—
1405C4—22no—
1406C4—28no—
1407C4—44no—
1408C4—44no—
1409C4—44no—
1410C4—44no—
1411C4—44no—
1412C4—42no—
1413C4—44no—
1414C4—44no—
1415C4—44no—
1416C4—42no—
1417C4—42no—
1418C2—24no—
1419C2—48no—
1420C2—44no—
1421C2—82no—
1422C2—82no—
1423C2C2×#348111yescharacteristic
1424C2#6281711yescharacteristic
1425C2#6288611yescharacteristic
1426C2#6298412yes—
1427C2#6298512yes—
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. #60035C2semidirect
2. #59988C2semidirect
3. #59941C2semidirect
4. #59861C2semidirect
5. #59814C2semidirect
6. #59780C2semidirect
7. #59179C2semidirect
8. #59162C2semidirect
9. #59136C2semidirect
10. #59107C2semidirect
11. #59074C2semidirect
12. #44281C2semidirect
13. #44259C2semidirect
14. #44217C2semidirect
15. #44172C2semidirect
16. #43941C2semidirect
17. #43910C2semidirect
18. #35376C2semidirect
19. #35357C2semidirect
20. #34736C2semidirect
21. C2×#2432C2semidirect
22. #34288C2semidirect
23. #34277C2semidirect
25. C2×#554C22semidirect
26. C2×#551C22semidirect
29. C22×C4⋊Q8C22semidirect
32. C2×#525C22semidirect
33. C22×C22⋊Q8C22semidirect
35. C22×C4×D4C22semidirect
36. #2808C22semidirect
37. #2804C22semidirect
38. #2801C22semidirect
39. #2800C22semidirect
40. #2799C22semidirect
41. #2795C22semidirect
42. #2778C22semidirect
43. #2756C22semidirect
44. #2753C22semidirect
45. #2745C22semidirect
46. #2730C22semidirect
47. #2729C22semidirect
48. #2729C22semidirect
49. #2728C22semidirect
50. #2724C22semidirect
51. #2718C22semidirect
52. #2717C22semidirect
53. #2712C22semidirect
54. #2711C22semidirect
55. #2710C22semidirect
56. #2705C22semidirect
57. #2703C22semidirect
58. #2702C22semidirect
59. #2699C22semidirect
60. #2684C22semidirect
61. #2683C22semidirect
62. #2682C22semidirect
63. #2679C22semidirect
64. #2678C22semidirect
65. #2676C22semidirect
66. #2610C22semidirect
67. #2605C22semidirect
68. #2602C22semidirect
69. #2597C22semidirect
70. #2595C22semidirect
71. #2593C22semidirect
72. #2593C22semidirect
73. #2591C22semidirect
74. #2589C22semidirect
75. #2587C22semidirect
76. #2586C22semidirect
77. #2578C22semidirect
78. #2576C22semidirect
79. #2572C22semidirect
80. #2567C22semidirect
81. #2563C22semidirect
82. #2561C22semidirect
83. #2560C22semidirect
84. #2559C22semidirect
85. #2558C22semidirect
86. #2557C22semidirect
87. #2555C22semidirect
88. #2554C22semidirect
89. #2550C22semidirect
90. #2543C22semidirect
92. #2534C22semidirect
93. #2530C22semidirect
94. #2527C22semidirect
95. #2527C22semidirect
96. #2522C22semidirect
97. #2521C22semidirect
98. #2518C22semidirect
99. #2515C22semidirect
100. #2493C22semidirect
101. #2492C22semidirect
102. #2484C22semidirect
103. #2482C22semidirect
104. #2480C22semidirect
105. #2478C22semidirect
106. #2477C22semidirect
107. #2477C22semidirect
108. #2477C22semidirect
109. #2477C22semidirect
110. #2475C22semidirect
111. #2472C22semidirect
112. #2472C22semidirect
113. #2470C22semidirect
114. #2466C22semidirect
115. #2465C22semidirect
116. #2465C22semidirect
117. #2463C22semidirect
118. #2463C22semidirect
119. #2461C22semidirect
120. #2461C22semidirect
121. #2460C22semidirect
122. #2459C22semidirect
123. #2458C22semidirect
124. #2452C22semidirect
125. #2450C22semidirect
126. #2449C22semidirect
127. #2449C22semidirect
128. #2443C22semidirect
129. #2442C22semidirect
130. #2440C22semidirect
131. #2438C22semidirect
134. #2432C22semidirect
135. #2432C22semidirect
136. #2432C22semidirect
137. #2432C22semidirect
138. #2425C22semidirect
139. #2424C22semidirect
140. #2424C22semidirect
141. #2419C22semidirect
142. #2419C22semidirect
144. #2417C22semidirect
145. #2412C22semidirect
146. #2409C22semidirect
147. #2409C22semidirect
150. #2407C22semidirect
153. #2406C22semidirect
155. #2405C22semidirect
158. #2404C22semidirect
160. #2403C22semidirect
162. #2388C22semidirect
163. C2×#394C22semidirect
164. #2374C22semidirect
165. #2374C22semidirect
166. #2373C22semidirect
167. #2373C22semidirect
168. #2372C22semidirect
169. #2372C22semidirect
170. #2369C22semidirect
171. #2368C22semidirect
172. #2367C22semidirect
173. #2367C22semidirect
174. #2364C22semidirect
175. #2363C22semidirect
177. #2361C22semidirect
178. #2361C22semidirect
179. #2360C22semidirect
180. #2359C22semidirect
181. #2359C22semidirect
182. #2359C22semidirect
184. #2358C22semidirect
185. #2358C22semidirect
186. D4×C4⋊C4C22semidirect
187. D4×C4⋊C4C22semidirect
188. #2342C22semidirect
189. #2342C22semidirect
191. D4×C22⋊C4C22semidirect
192. #2329C22semidirect
193. #2326C22semidirect
195. #2325C22semidirect
196. #2324C22semidirect
197. #2322C22semidirect
198. #2322C22semidirect
199. #2321C22semidirect
200. #2313C22semidirect
201. #2312C22semidirect
202. C4×C22⋊Q8C22semidirect
203. C4×C22⋊Q8C22semidirect
206. C4×#120C22semidirect
207. C4×#120C22semidirect
209. #2297C22semidirect
210. C2×#391C22semidirect
212. #2290C22semidirect
213. #2290C22semidirect
214. C2×#385C22semidirect
215. C2×#385C22semidirect
216. #2280C22semidirect
217. #2275C22semidirect
218. C2×C4×C22⋊C4C22semidirect
748. #121#41semidirect
1036. C2×D4C2×#41semidirect
1158. C4⋊C4C2×#41semidirect
1208. C22⋊C4C2×#41semidirect

Maximal subgroups

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

subgroupindex
#600352
#599882
#599412
#598612
#598142
#597802
#591792
#591622
#591362
#591072
#590742
#442812
#442592
#442172
#441722
#439412
#439102
#353762
#353572
#347362
C2×#24322
#342882
#342772