Finite Group Databasebeta

← #7680078

Subgroups — #7680078

Order 512.

4690 conjugacy classes of subgroups.

The subgroup lattice has 1445 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59862C212yesmaximal
2#59425C212yesmaximal, complemented
3#59329C212yesmaximal, complemented
4#59196C214yesmaximal, complemented
5#59194C214yesmaximal, complemented
6#59148C212yesmaximal
7#45429C211yesmaximal, characteristic, complemented
8#45425C211yesmaximal, characteristic, complemented
9#45349C211yesmaximal, characteristic, complemented
10#45318C211yesmaximal, characteristic, complemented
11#45231C211yesmaximal, characteristic, complemented
12#45221C211yesmaximal, characteristic, complemented
13#45163C211yesmaximal, characteristic, complemented
14#45151C211yesmaximal, characteristic, complemented
15#44620C214yesmaximal, complemented
16#44606C214yesmaximal, complemented
17#40322C214yesmaximal, complemented
18#38706C214yesmaximal, complemented
19#38392C214yesmaximal, complemented
20#36344C214yesmaximal, complemented
21#35658C212yesmaximal, complemented
22#35632C212yesmaximal, complemented
23#35248C211yesmaximal, characteristic, complemented
24#35188C212yesmaximal, complemented
25#34946C211yesmaximal, characteristic
26#34878C211yesmaximal, characteristic, complemented
27#34326C212yesmaximal, complemented
28#34221C211yesmaximal, characteristic, complemented
29#34190C211yesmaximal, characteristic
30#34128C211yesmaximal, characteristic, complemented
31C2×#2326C211yesmaximal, characteristic
32C2×#556C2212yes—
33C2×#533C2211yescharacteristic
34C22×#124C2211yescharacteristic
35C22×C4×Q8C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37#2866C2214yescomplemented
38#2865C2214yescomplemented
39#2855C2214yes—
40#2796C2214yes—
41#2794C2214yescomplemented
42#2794C2214yescomplemented
43#2789C2214yescomplemented
44#2775C2214yescomplemented
45#2772C2214yescomplemented
46#2770C2214yescomplemented
47#2764C2214yescomplemented
48#2763C2214yescomplemented
49#2759C2214yescomplemented
50#2758C2214yescomplemented
51#2754C2214yescomplemented
52#2751C2214yes—
53#2747C2214yescomplemented
54#2747C2214yescomplemented
55#2745C2214yescomplemented
56#2744C2214yescomplemented
57#2742C2214yescomplemented
58#2739C2214yescomplemented
59#2738C2214yescomplemented
60#2722C2214yescomplemented
61#2715C2214yes—
62#2700C2214yes—
63#2698C2214yescomplemented
64#2654C2214yescomplemented
65#2650C2214yescomplemented
66#2634C2212yescomplemented
67#2634C2212yescomplemented
68#2612C2212yescomplemented
69#2612C2212yescomplemented
70#2606C2212yescomplemented
71#2605C2214yescomplemented
72#2605C2212yescomplemented
73#2596C2214yescomplemented
74#2596C2214yescomplemented
75#2595C2214yes—
76#2594C2214yescomplemented
77#2592C2212yes—
78#2592C2212yes—
79#2589C2214yescomplemented
80#2588C2214yescomplemented
81#2582C2212yescomplemented
82#2581C2212yescomplemented
83#2581C2214yescomplemented
84#2580C2212yes—
85#2577C2214yescomplemented
86#2577C2214yescomplemented
87#2577C2214yescomplemented
88#2575C2214yescomplemented
89#2575C2214yescomplemented
90#2574C2214yescomplemented
91#2574C2214yescomplemented
92#2573C2214yescomplemented
93#2571C2212yescomplemented
94#2570C2212yescomplemented
95#2570C2214yescomplemented
96#2570C2212yescomplemented
97#2569C2212yes—
98#2569C2214yescomplemented
99#2568C2211yescharacteristic, complemented
100#2568C2212yescomplemented
101#2568C2211yescharacteristic, complemented
102#2563C2211yescharacteristic
103#2563C2211yescharacteristic
104#2562C2214yes—
105#2561C2214yes—
106#2561C2212yes—
107#2561C2212yes—
108#2549C2212yes—
109#2547C2212yes—
110#2547C2211yescharacteristic
111#2547C2211yescharacteristic
112#2546C2211yescharacteristic, complemented
113#2546C2211yescharacteristic, complemented
114#2545C2212yes—
115#2545C2212yes—
116#2532C2214yescomplemented
117#2532C2214yescomplemented
118#2532C2214yescomplemented
119#2530C2214yescomplemented
120#2530C2214yescomplemented
121#2530C2214yescomplemented
122#2530C2214yescomplemented
123#2529C2214yescomplemented
124#2529C2214yescomplemented
125#2527C2214yescomplemented
126#2527C2214yescomplemented
127#2527C2214yescomplemented
128#2523C2214yescomplemented
129#2522C2214yescomplemented
130#2522C2214yescomplemented
131#2521C2214yes—
132#2517C2214yescomplemented
133#2516C2214yes—
134#2515C2214yescomplemented
135#2514C2212yescomplemented
136#2514C2212yescomplemented
137#2513C2212yes—
138#2513C2212yes—
139#2511C2212yescomplemented
140#2511C2214yescomplemented
141#2511C2212yescomplemented
142#2505C2214yescomplemented
143#2505C2214yescomplemented
144#2503C2212yes—
145#2503C2214yes—
146#2503C2212yes—
147#2493C2214yes—
148#2493C2214yes—
149#2493C2214yescomplemented
150#2493C2214yescomplemented
151#2484C2212yes—
152#2484C2214yes—
153#2484C2212yes—
154#2484C2214yes—
155#2483C2214yes—
156#2482C2214yes—
157#2480C2214yes—
158#2480C2214yes—
159#2478C2214yescomplemented
160#2474C2214yes—
161#2448C2212yes—
162#2448C2212yes—
163#2447C2212yes—
164#2447C2212yes—
165#2446C2212yescomplemented
166#2446C2212yescomplemented
167#2438C2214yes—
168#2438C2212yes—
169#2438C2212yes—
170#2438C2214yescomplemented
171#2437C2214yes—
172#2435C2212yes—
173#2434C2212yes—
174#2402C2211yescharacteristic, complemented
175#2402C2211yescharacteristic, complemented
176#2399C2211yescharacteristic, complemented
177#2399C2211yescharacteristic, complemented
178#2398C2212yes—
179#2398C2212yes—
180#2373C2214yescomplemented
181#2373C2214yescomplemented
182#2371C2214yescomplemented
183#2368C2214yes—
184#2368C2214yescomplemented
185#2367C2212yes—
186#2367C2212yes—
187#2365C2212yescomplemented
188#2357C2211yescharacteristic
189#2357C2212yes—
190#2357C2211yescharacteristic
191#2356C2212yescomplemented
192#2356C2212yescomplemented
193#2356C2214yescomplemented
194#2356C2212yescomplemented
195#2356C2211yescharacteristic, complemented
196#2356C2211yescharacteristic, complemented
197#2355C2212yescomplemented
198#2355C2212yescomplemented
199#2353C2212yes—
200#2353C2212yes—
201#2351C2211yescharacteristic, complemented
202#2351C2211yescharacteristic, complemented
203#2349C2211yescharacteristic
204#2349C2211yescharacteristic
205#2344C2212yes—
206#2344C2214yes—
207#2344C2214yes—
208#2344C2212yes—
209#2343C2214yes—
210#2343C2214yes—
211#2343C2214yescomplemented
212#2342C2214yes—
213#2342C2214yes—
214#2342C2214yes—
215Q8×C22⋊C4C2212yes—
216D4×C22⋊C4C2212yes—
217#2334C2214yescomplemented
218#2332C2214yescomplemented
219#2331C2211yescharacteristic, complemented
220#2331C2211yescharacteristic, complemented
221#2327C2212yescomplemented
222#2327C2211yescharacteristic, complemented
223#2327C2212yescomplemented
224#2327C2211yescharacteristic, complemented
225#2326C2211yescharacteristic
226#2326C2211yescharacteristic
227#2326C2211yescharacteristic
228#2326C2214yes—
229#2326C2214yes—
230#2326C2211yescharacteristic
231#2326C2211yescharacteristic
232#2326C2211yescharacteristic
233#2326C2211yescharacteristic
234#2326C2211yescharacteristic
235#2320C2212yescomplemented
236#2319C2212yes—
237#2318C2214yes—
238C4×#126C2214yescomplemented
239C4×#124C2212yes—
240C4×#124C2212yes—
241C4×C22⋊Q8C2212yes—
242C4×C22⋊Q8C2212yes—
243C4×C22⋊Q8C2212yes—
244C4×C22⋊Q8C2212yes—
245#2298C2214yescomplemented
246#2295C2212yescomplemented
247#2295C2212yescomplemented
248#2295C2212yescomplemented
249#2295C2214yescomplemented
250C2×#391C2211yescharacteristic
251C2×#390C2211yescharacteristic
252C2×#388C2214yes—
253C2×#385C2214yes—
254C2×#384C2211yescharacteristic
255#2283C2211yescharacteristic
256#2283C2211yescharacteristic
257#2283C2212yes—
258#2280C2212yes—
259#2280C2214yes—
260C2×#381C2212yes—
261#2276C2212yescomplemented
262#2275C2212yes—
263C42×Q8C2212yescomplemented
264C4×#117C2211yescharacteristic
265C4×#117C2212yes—
266C2×#376C2211yescharacteristic
267C23×Q8C2311yescharacteristic
268C23×D4C2311yescharacteristic
269C24×C4C2312yes—
270#556—216no—
271#533—28no—
272C2×C4⋊Q8C2311yescharacteristic
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2312yes—
276C2×#126C2314yes—
277C2×#126C2314yes—
278C2×#125C2312yes—
279C2×#124—28no—
280C2×#124C2311yescharacteristic
281C2×#124C2314yes—
282C2×#124C2311yescharacteristic
283C2×#124C2311yescharacteristic
284C2×#124C2312yes—
285C2×#124C2312yes—
286C2×#124C2311yescharacteristic
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2314yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C4×Q8—28no—
293C2×C4×Q8C2311yescharacteristic
294C2×C4×Q8C2311yescharacteristic
295C2×C4×Q8C2312yes—
296C2×C4×Q8C2312yes—
297C2×C4×Q8C2312yes—
298C2×C4×Q8C2311yescharacteristic
299C2×C4×Q8C2311yescharacteristic
300C2×C4×Q8C2312yes—
301C2×C4×Q8C2312yes—
302C2×C4×Q8C2312yes—
303C2×C4×Q8C2312yes—
304C2×C4×Q8C2312yes—
305C2×C4×Q8C2312yes—
306C2×C4×Q8C2312yes—
307C2×C4×D4—28no—
308C2×C4×D4C2312yes—
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2312yes—
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2312yes—
315C2×C4×D4C2312yes—
316C2×#117C2314yes—
317C2×#117C2312yes—
318C2×#117C2314yes—
319C2×#117C2314yes—
320C2×#117C2312yes—
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2312yes—
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2314yes—
325C22×C22⋊C4C2312yes—
326C22×C22⋊C4C2314yes—
327C22×C22⋊C4C2314yes—
328C22×C22⋊C4C2314yes—
329C22×C42C2312yes—
330C22×C42C2311yescharacteristic
331C22×C42C2311yescharacteristic
332C22×C42C2311yescharacteristic
333#401C2314yes—
334#401C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2312yes—
338#400C2314yes—
339#400C2312yes—
340#400C2312yes—
341#400C2312yes—
342#400C2314yes—
343#400C2312yes—
344#400C2312yes—
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2312yes—
359#400C2312yes—
360#400C2314yes—
361#400C2314yes—
362#399C2314yes—
363#399C2314yes—
364#399C2314yes—
365#398C2312yes—
366#398C2312yes—
367#398C2312yes—
368#398C2312yes—
369#398C2314yes—
370#398C2314yes—
371#398C2312yes—
372#398C2312yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2312yes—
377#398C2312yes—
378#398C2312yes—
379#398C2312yes—
380#398C2312yes—
381#398C2312yes—
382#398C2314yes—
383#397C2314yes—
384#397C2312yes—
385#397C2312yes—
386#397C2312yes—
387#397C2312yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#396C2314yes—
405#395C2312yes—
406#395C2314yes—
407#395C2314yes—
408#395C2314yes—
409#395C2312yes—
410#395C2312yes—
411#395C2312yes—
412#394C2314yes—
413#394C2314yes—
414#393C2312yes—
415#393C2312yes—
416#393C2312yes—
417#393C2312yes—
418#393C2314yes—
419#393C2314yes—
420#393C2314yes—
421#391C2311yescharacteristic
422#391C2314yes—
423#391C2312yes—
424#391C2312yes—
425#391C2314yes—
426#391C2314yes—
427#391C2312yes—
428#391C2312yes—
429#391C2312yes—
430#391C2312yes—
431#391C2312yes—
432#391C2311yescharacteristic
433#391C2314yes—
434#391C2311yescharacteristic
435#391C2311yescharacteristic
436#391C2312yes—
437#391C2314yes—
438#391C2312yes—
439#391C2312yes—
440#391C2314yes—
441#391C2314yes—
442#391C2312yes—
443#391C2314yes—
444#391C2314yes—
445#391C2312yes—
446#391C2314yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#390C2312yes—
452#390C2312yes—
453#390C2312yes—
454#390C2312yes—
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2314yes—
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#389C2312yes—
461#389C2312yes—
462#389C2312yes—
463#389C2314yes—
464#389C2312yes—
465#389C2312yes—
466#389C2312yes—
467#389C2314yes—
468#389C2312yes—
469#389C2312yes—
470#389C2314yes—
471#389C2314yes—
472#389C2312yes—
473#389C2312yes—
474#389C2314yes—
475#389C2314yes—
476#389C2314yes—
477#389C2312yes—
478#389C2312yes—
479#388C2314yes—
480#388C2314yes—
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#387C2312yes—
518#387C2314yes—
519#387C2314yes—
520#387C2312yes—
521#387C2312yes—
522#387C2312yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
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#387C2312yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2312yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2312yes—
567#387C2314yes—
568#387C2312yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2312yes—
574#387C2312yes—
575#387C2312yes—
576#387C2314yes—
577#387C2314yes—
578#387C2312yes—
579#386C2314yes—
580#386C2314yes—
581#385C2312yes—
582#385C2312yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2312yes—
604#385C2312yes—
605#384C2311yescharacteristic
606#384C2311yescharacteristic
607#384C2314yes—
608#384C2311yescharacteristic
609#384C2311yescharacteristic
610#383C2314yes—
611#383C2314yes—
612#383C2312yes—
613#383C2314yes—
614#383C2311yescharacteristic
615#383C2314yes—
616#383C2311yescharacteristic
617#383C2312yes—
618#383C2312yes—
619#382C2312yes—
620#382C2312yes—
621#382C2312yes—
622#382C2312yes—
623#382C2314yes—
624#382C2314yes—
625#382C2314yes—
626#382C2312yes—
627#382C2314yes—
628#382C2311yescharacteristic
629#382C2311yescharacteristic
630#382C2312yes—
631#382C2312yes—
632#381C2314yes—
633#381C2314yes—
634#381C2314yes—
635#381C2314yes—
636#381C2314yes—
637#381C2314yes—
638#381C2314yes—
639#381C2314yes—
640#381C2314yes—
641#381C2312yes—
642#381C2312yes—
643#381C2312yes—
644#381C2311yescharacteristic
645#381C2311yescharacteristic
646#381C2314yes—
647#380C2314yes—
648#380C2314yes—
649#380C2314yes—
650#380C2314yes—
651#380C2312yes—
652#380C2312yes—
653#380C2312yes—
654#380C2314yes—
655#380C2314yes—
656#380C2314yes—
657#380C2312yes—
658#380C2314yes—
659#380C2312yes—
660#380C2312yes—
661#379C2314yes—
662#379C2314yes—
663#379C2314yes—
664C4×C4⋊C4C2314yes—
665C4×C4⋊C4C2314yes—
666C4×C4⋊C4C2314yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2311yescharacteristic
669C4×C4⋊C4C2311yescharacteristic
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2311yescharacteristic
672C4×C4⋊C4C2311yescharacteristic
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2311yescharacteristic
700C4×C22⋊C4C2311yescharacteristic
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716#376C2312yes—
717#376C2311yescharacteristic
718#376C2311yescharacteristic
719#376C2311yescharacteristic
720#376C2312yes—
721#376C2312yes—
722#376C2311yescharacteristic
723#376C2314yes—
724#376C2314yes—
725#376C2312yes—
726#376C2311yescharacteristic
727#376C2311yescharacteristic
728#376C2312yes—
729#376C2312yes—
730#376C2314yes—
731C2×#95C2312yes—
732C2×#95C2312yes—
733C2×#95C2314yes—
734C2×#95C2312yes—
735C2×#95C2314yes—
736C2×#95C2312yes—
737C43C2314yes—
738C43C2312yes—
739C25C2412yes—
740C22×Q8—24no—
741C22×Q8—24no—
742C22×Q8—42no—
743C22×Q8C2412yes—
744C22×Q8C2411yescharacteristic
745C22×Q8C2412yes—
746C22×Q8C2411yescharacteristic
747C22×Q8C2412yes—
748C22×Q8C2412yes—
749C22×Q8C2412yes—
750C22×D4—24no—
751C22×D4—24no—
752C22×D4—42no—
753C22×D4C2411yescharacteristic
754C22×D4C2412yes—
755C22×D4C2411yescharacteristic
756C23×C4—28no—
757C23×C4—48no—
758C23×C4C2412yes—
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2412yes—
765C23×C4C2414yes—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2414yes—
771C23×C4C2411yescharacteristic
772C4⋊Q8—28no—
773C4⋊Q8—24no—
774C4⋊Q8—24no—
775C4⋊Q8—44no—
776#126—216no—
777#126—216no—
778#125—28no—
779#124—24no—
780#124—24no—
781#124—28no—
782#124—216no—
783#124—24no—
784#124—44no—
785#124#4118yes—
786C22⋊Q8—28no—
787C22⋊Q8—28no—
788C22⋊Q8—216no—
789C22⋊Q8—44no—
790C22⋊Q8—44no—
791C4×Q8—28no—
792C4×Q8—24no—
793C4×Q8—28no—
794C4×Q8—24no—
795C4×Q8—28no—
796C4×Q8—24no—
797C4×Q8—24no—
798C4×Q8—28no—
799C4×Q8—28no—
800C4×Q8—28no—
801C4×Q8—28no—
802C4×Q8—44no—
803C4×Q8—44no—
804C4×Q8—44no—
805C4×D4—28no—
806C4×D4—24no—
807C4×D4—28no—
808C4×D4—24no—
809C4×D4—28no—
810C4×D4—24no—
811C4×D4—24no—
812C4×D4—44no—
813#117—28no—
814#117—216no—
815#117—48no—
816#117—48no—
817#117—44no—
818C2×C4⋊C4—24no—
819C2×C4⋊C4—24no—
820C2×C4⋊C4—28no—
821C2×C4⋊C4—48no—
822C2×C4⋊C4C2411yescharacteristic
823C2×C4⋊C4C2411yescharacteristic
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2411yescharacteristic
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C22⋊C4—28no—
881C2×C22⋊C4—216no—
882C2×C22⋊C4—48no—
883C2×C22⋊C4—48no—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊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⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C42—28no—
917C2×C42—24no—
918C2×C42—42no—
919C2×C42#4118yes—
920C2×C42C2414yes—
921C2×C42C2414yes—
922C2×C42C2414yes—
923C2×C42C2412yes—
924C2×C42C2412yes—
925C2×C42C2412yes—
926C2×C42C2412yes—
927C2×C42C2412yes—
928C2×C42C2411yescharacteristic
929C2×C42C2412yes—
930C2×C42C2411yescharacteristic
931C2×C42C2412yes—
932C2×C42C2412yes—
933C2×C42C2411yescharacteristic
934C2×C42C2412yes—
935C2×C42C2412yes—
936C2×C42C2412yes—
937C2×C42C2414yes—
938C2×C42C2414yes—
939C2×C42C2414yes—
940C2×C42C2414yes—
941C2×C42C2414yes—
942C2×C42C2414yes—
943C2×C42C2412yes—
944C2×C42C2414yes—
945C2×C42C2412yes—
946C2×C42C2412yes—
947C2×C42C2414yes—
948C2×C42C2414yes—
949C2×C42C2411yescharacteristic
950C2×C42C2411yescharacteristic
951C2×C42C2411yescharacteristic
952C2×C42C2411yescharacteristic
953C2×C42C2411yescharacteristic
954#95C2412yes—
955#95C2411yescharacteristic
956#95C2411yescharacteristic
957#95C2412yes—
958#95C2412yes—
959#95C2412yes—
960#95C2412yes—
961#95C2412yes—
962#95C2412yes—
963#95C2412yes—
964#95C2412yes—
965#95C2414yes—
966#95C2412yes—
967#95C2412yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2411yescharacteristic
977#95C2411yescharacteristic
978#95C2412yes—
979#95C2412yes—
980#95C2412yes—
981#95C2412yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2412yes—
986#95C2412yes—
987#95C2411yescharacteristic
988#95C2411yescharacteristic
989#95C2412yes—
990#95C2412yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2411yescharacteristic
1000#95C2411yescharacteristic
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040C24—24no—
1041C24—24no—
1042C24—28no—
1043C24—42no—
1044C24—44no—
1045C24C2512yes—
1046C24C2512yes—
1047C24C2511yescharacteristic
1048C2×Q8—22no—
1049C2×Q8—24no—
1050C2×Q8—22no—
1051C2×Q8—24no—
1052C2×Q8—24no—
1053C2×Q8—24no—
1054C2×Q8—22no—
1055C2×Q8—24no—
1056C2×Q8—24no—
1057C2×Q8—22no—
1058C2×Q8—24no—
1059C2×Q8—22no—
1060C2×Q8—42no—
1061C2×Q8—42no—
1062C2×Q8—42no—
1063C2×Q8—42no—
1064C2×Q8—42no—
1065C2×Q8—44no—
1066C2×Q8—42no—
1067C2×Q8—416no—
1068C2×Q8C2×#4114yes—
1069C2×D4—24no—
1070C2×D4—22no—
1071C2×D4—24no—
1072C2×D4—22no—
1073C2×D4—22no—
1074C2×D4—22no—
1075C2×D4—22no—
1076C2×D4—416no—
1077C2×D4—42no—
1078C2×D4C2×#4114yes—
1079C22×C4—24no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—24no—
1083C22×C4—24no—
1084C22×C4—24no—
1085C22×C4—28no—
1086C22×C4—24no—
1087C22×C4—28no—
1088C22×C4—28no—
1089C22×C4—24no—
1090C22×C4—24no—
1091C22×C4—24no—
1092C22×C4—24no—
1093C22×C4—24no—
1094C22×C4—24no—
1095C22×C4—24no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—44no—
1101C22×C4—44no—
1102C22×C4—44no—
1103C22×C4—44no—
1104C22×C4—44no—
1105C22×C4—44no—
1106C22×C4—42no—
1107C22×C4—44no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—816no—
1111C22×C4C2×#4114yes—
1112C22×C4C2×#4114yes—
1113C22×C4C2×#4114yes—
1114C22×C4C2512yes—
1115C22×C4C2512yes—
1116C22×C4C2514yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2512yes—
1120C22×C4C2512yes—
1121C22×C4C2514yes—
1122C22×C4C2512yes—
1123C22×C4C2514yes—
1124C22×C4C2512yes—
1125C22×C4C2512yes—
1126C22×C4C2512yes—
1127C22×C4C2512yes—
1128C22×C4C2512yes—
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C22×C4C2512yes—
1132C22×C4C2514yes—
1133C22×C4C2512yes—
1134C22×C4C2511yescharacteristic
1135C22×C4C2511yescharacteristic
1136C22×C4C2511yescharacteristic
1137C22×C4C2511yescharacteristic
1138C22×C4C2511yescharacteristic
1139C22×C4C2512yes—
1140C22×C4C2512yes—
1141C22×C4C2511yescharacteristic
1142C4⋊C4—24no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—24no—
1146C4⋊C4—24no—
1147C4⋊C4—24no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—24no—
1151C4⋊C4—24no—
1152C4⋊C4—24no—
1153C4⋊C4—28no—
1154C4⋊C4—24no—
1155C4⋊C4—24no—
1156C4⋊C4—24no—
1157C4⋊C4—28no—
1158C4⋊C4—28no—
1159C4⋊C4—28no—
1160C4⋊C4—28no—
1161C4⋊C4—24no—
1162C4⋊C4—24no—
1163C4⋊C4—24no—
1164C4⋊C4—24no—
1165C4⋊C4—28no—
1166C4⋊C4—24no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—42no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—42no—
1190C4⋊C4—42no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C4⋊C4—42no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C22⋊C4—28no—
1201C22⋊C4—28no—
1202C22⋊C4—28no—
1203C22⋊C4—28no—
1204C22⋊C4—28no—
1205C22⋊C4—24no—
1206C22⋊C4—28no—
1207C22⋊C4—24no—
1208C22⋊C4—24no—
1209C22⋊C4—24no—
1210C22⋊C4—24no—
1211C22⋊C4—24no—
1212C22⋊C4—24no—
1213C22⋊C4—24no—
1214C22⋊C4—28no—
1215C22⋊C4—28no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4C2×#41116yes—
1232C42—24no—
1233C42—24no—
1234C42—24no—
1235C42—24no—
1236C42—24no—
1237C42—22no—
1238C42—28no—
1239C42—28no—
1240C42—28no—
1241C42—24no—
1242C42—24no—
1243C42—22no—
1244C42—22no—
1245C42—24no—
1246C42—24no—
1247C42—42no—
1248C42—44no—
1249C42—42no—
1250C42—42no—
1251C42—44no—
1252C42—44no—
1253C42—42no—
1254C42—42no—
1255C42—44no—
1256C42—44no—
1257C42—44no—
1258C42—44no—
1259C42—44no—
1260C42—44no—
1261C42C2×#4114yes—
1262C42C2×#4114yes—
1263C42C2×#4114yes—
1264C42C2×#4114yes—
1265C42C2×#4114yes—
1266C23—21no—
1267C23—21no—
1268C23—22no—
1269C23—22no—
1270C23—24no—
1271C23—22no—
1272C23—24no—
1273C23—22no—
1274C23—22no—
1275C23—24no—
1276C23—22no—
1277C23—24no—
1278C23—48no—
1279C23—416no—
1280C23—48no—
1281C23—84no—
1282C23—88no—
1283C23C22×#4114yes—
1284C23C22×#4112yes—
1285C23#58514yes—
1286C23C2611yescharacteristic
1287Q8—28no—
1288Q8—48no—
1289Q8—48no—
1290Q8—44no—
1291Q8—84no—
1292Q8—84no—
1293Q8—84no—
1294D4—28no—
1295D4—48no—
1296D4—44no—
1297C2×C4—22no—
1298C2×C4—21no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—21no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—28no—
1308C2×C4—28no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—24no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—24no—
1318C2×C4—24no—
1319C2×C4—24no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—24no—
1337C2×C4—24no—
1338C2×C4—24no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—24no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—24no—
1347C2×C4—22no—
1348C2×C4—24no—
1349C2×C4—22no—
1350C2×C4—24no—
1351C2×C4—24no—
1352C2×C4—24no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—24no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—44no—
1366C2×C4—48no—
1367C2×C4—48no—
1368C2×C4—48no—
1369C2×C4—48no—
1370C2×C4—84no—
1371C2×C4—84no—
1372C2×C4—84no—
1373C2×C4—84no—
1374C2×C4—88no—
1375C2×C4—84no—
1376C2×C4—164no—
1377C2×C4C22×#4112yes—
1378C2×C4C22×#4112yes—
1379C2×C4C22×#4112yes—
1380C2×C4C22×#4114yes—
1381C2×C4C22×#4114yes—
1382C2×C4C22×#4112yes—
1383C2×C4C22×#4112yes—
1384C2×C4C22×#4112yes—
1385C2×C4C22×#4112yes—
1386C2×C4#58512yes—
1387C22—24no—
1388C22—22no—
1389C22—24no—
1390C22—22no—
1391C22—28no—
1392C22—24no—
1393C22—42no—
1394C22—42no—
1395C22—44no—
1396C22—44no—
1397C22—42no—
1398C22—42no—
1399C22—44no—
1400C22—42no—
1401C22—816no—
1402C22#351014yes—
1403C22C23×#4111yescharacteristic
1404C22C23×#4111yescharacteristic
1405C22C2×#58512yes—
1406C22C2×#58511yescharacteristic
1407C222−1+612yes—
1408C4—24no—
1409C4—22no—
1410C4—22no—
1411C4—22no—
1412C4—22no—
1413C4—22no—
1414C4—24no—
1415C4—42no—
1416C4—42no—
1417C4—42no—
1418C4—44no—
1419C4—42no—
1420C4—42no—
1421C4—42no—
1422C4—42no—
1423C4—42no—
1424C4—42no—
1425C4—44no—
1426C4—42no—
1427C4—42no—
1428C4—42no—
1429C4—44no—
1430C4—42no—
1431C4—42no—
1432C4—42no—
1433C4—42no—
1434C4—44no—
1435C4#347514yes—
1436C2—24no—
1437C2—44no—
1438C2—82no—
1439C2C2×#347511yescharacteristic
1440C2C2×#351011yescharacteristic
1441C2#6286011yescharacteristic
1442C2#6294012yes—
1443C2#6299312yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #59425C2semidirect
3. #59329C2semidirect
4. #59196C2semidirect
5. #59194C2semidirect
7. #45429C2semidirect
8. #45425C2semidirect
9. #45349C2semidirect
10. #45318C2semidirect
11. #45231C2semidirect
12. #45221C2semidirect
13. #45163C2semidirect
14. #45151C2semidirect
15. #44620C2semidirect
16. #44606C2semidirect
17. #40322C2semidirect
18. #38706C2semidirect
19. #38392C2semidirect
20. #36344C2semidirect
21. #35658C2semidirect
22. #35632C2semidirect
23. #35248C2semidirect
24. #35188C2semidirect
26. #34878C2semidirect
27. #34326C2semidirect
28. #34221C2semidirect
30. #34128C2semidirect
37. #2866C22semidirect
38. #2865C22semidirect
41. #2794C22semidirect
42. #2794C22semidirect
43. #2789C22semidirect
44. #2775C22semidirect
45. #2772C22semidirect
46. #2770C22semidirect
47. #2764C22semidirect
48. #2763C22semidirect
49. #2759C22semidirect
50. #2758C22semidirect
51. #2754C22semidirect
53. #2747C22semidirect
54. #2747C22semidirect
55. #2745C22semidirect
56. #2744C22semidirect
57. #2742C22semidirect
58. #2739C22semidirect
59. #2738C22semidirect
60. #2722C22semidirect
63. #2698C22semidirect
64. #2654C22semidirect
65. #2650C22semidirect
66. #2634C22semidirect
67. #2634C22semidirect
68. #2612C22semidirect
69. #2612C22semidirect
70. #2606C22semidirect
71. #2605C22semidirect
72. #2605C22semidirect
73. #2596C22semidirect
74. #2596C22semidirect
76. #2594C22semidirect
79. #2589C22semidirect
80. #2588C22semidirect
81. #2582C22semidirect
82. #2581C22semidirect
83. #2581C22semidirect
85. #2577C22semidirect
86. #2577C22semidirect
87. #2577C22semidirect
88. #2575C22semidirect
89. #2575C22semidirect
90. #2574C22semidirect
91. #2574C22semidirect
92. #2573C22semidirect
93. #2571C22semidirect
94. #2570C22semidirect
95. #2570C22semidirect
96. #2570C22semidirect
98. #2569C22semidirect
99. #2568C22semidirect
100. #2568C22semidirect
101. #2568C22semidirect
112. #2546C22semidirect
113. #2546C22semidirect
116. #2532C22semidirect
117. #2532C22semidirect
118. #2532C22semidirect
119. #2530C22semidirect
120. #2530C22semidirect
121. #2530C22semidirect
122. #2530C22semidirect
123. #2529C22semidirect
124. #2529C22semidirect
125. #2527C22semidirect
126. #2527C22semidirect
127. #2527C22semidirect
128. #2523C22semidirect
129. #2522C22semidirect
130. #2522C22semidirect
132. #2517C22semidirect
134. #2515C22semidirect
135. #2514C22semidirect
136. #2514C22semidirect
139. #2511C22semidirect
140. #2511C22semidirect
141. #2511C22semidirect
142. #2505C22semidirect
143. #2505C22semidirect
149. #2493C22semidirect
150. #2493C22semidirect
159. #2478C22semidirect
165. #2446C22semidirect
166. #2446C22semidirect
170. #2438C22semidirect
174. #2402C22semidirect
175. #2402C22semidirect
176. #2399C22semidirect
177. #2399C22semidirect
180. #2373C22semidirect
181. #2373C22semidirect
182. #2371C22semidirect
184. #2368C22semidirect
187. #2365C22semidirect
191. #2356C22semidirect
192. #2356C22semidirect
193. #2356C22semidirect
194. #2356C22semidirect
195. #2356C22semidirect
196. #2356C22semidirect
197. #2355C22semidirect
198. #2355C22semidirect
201. #2351C22semidirect
202. #2351C22semidirect
211. #2343C22semidirect
217. #2334C22semidirect
218. #2332C22semidirect
219. #2331C22semidirect
220. #2331C22semidirect
221. #2327C22semidirect
222. #2327C22semidirect
223. #2327C22semidirect
224. #2327C22semidirect
235. #2320C22semidirect
238. C4×#126C22semidirect
245. #2298C22semidirect
246. #2295C22semidirect
247. #2295C22semidirect
248. #2295C22semidirect
249. #2295C22semidirect
261. #2276C22semidirect
263. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598622
#594252
#593292
#591962
#591942
#591482
#454292
#454252
#453492
#453182
#452312
#452212
#451632
#451512
#446202
#446062
#403222
#387062
#383922
#363442
#356582
#356322
#352482
#351882
#349462
#348782
#343262
#342212
#341902
#341282
C2×#23262