Finite Group Databasebeta

← #7681629

Subgroups — #7681629

Order 512.

4994 conjugacy classes of subgroups.

The subgroup lattice has 1527 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59368C214yesmaximal, complemented
2#59364C214yesmaximal, complemented
3#59356C214yesmaximal, complemented
4#59351C214yesmaximal, complemented
5#44676C214yesmaximal, complemented
6#44472C214yesmaximal, complemented
7#44291C214yesmaximal, complemented
8#43971C214yesmaximal, complemented
9#39756C211yesmaximal, characteristic, complemented
10#39630C211yesmaximal, characteristic, complemented
11#39046C212yesmaximal, complemented
12#39041C212yesmaximal, complemented
13#38972C211yesmaximal, characteristic, complemented
14#38969C211yesmaximal, characteristic, complemented
15#37937C212yesmaximal, complemented
16#37751C212yesmaximal, complemented
17#36539C211yesmaximal, characteristic, complemented
18#36498C211yesmaximal, characteristic, complemented
19#36211C211yesmaximal, characteristic, complemented
20#36135C211yesmaximal, characteristic, complemented
21#35587C212yesmaximal, complemented
22#35549C212yesmaximal, complemented
23#35345C211yesmaximal, characteristic, complemented
24#35271C212yesmaximal, complemented
25#34963C211yesmaximal, characteristic, complemented
26#34909C211yesmaximal, characteristic, complemented
27#34220C212yesmaximal, complemented
28#34197C211yesmaximal, characteristic, complemented
29#34190C211yesmaximal, characteristic, complemented
30#34123C211yesmaximal, characteristic, complemented
31C4×#535C211yesmaximal, characteristic, complemented
32C2×#535C2211yescharacteristic
33C2×#529C2212yes—
34C2×C4×#41C2211yescharacteristic
35C2×C4×#41C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37#2864C2211yescharacteristic, complemented
38#2864C2211yescharacteristic, complemented
39#2859C2211yescharacteristic, complemented
40#2859C2211yescharacteristic, complemented
41#2856C2212yes—
42#2854C2212yes—
43#2854C2212yescomplemented
44#2851C2212yescomplemented
45#2808C2214yescomplemented
46#2807C2214yescomplemented
47#2788C2214yescomplemented
48#2775C2214yescomplemented
49#2773C2214yescomplemented
50#2768C2214yescomplemented
51#2767C2214yescomplemented
52#2765C2214yes—
53#2761C2214yes—
54#2761C2214yes—
55#2751C2214yescomplemented
56#2750C2214yes—
57#2749C2214yes—
58#2748C2214yescomplemented
59#2747C2214yescomplemented
60#2735C2214yes—
61#2727C2214yescomplemented
62#2706C2214yes—
63#2697C2214yes—
64#2694C2214yescomplemented
65#2691C2214yes—
66#2685C2214yes—
67#2678C2214yes—
68#2671C2214yes—
69#2647C2212yescomplemented
70#2644C2212yes—
71#2644C2212yescomplemented
72#2641C2212yes—
73#2629C2212yes—
74#2629C2212yes—
75#2611C2214yescomplemented
76#2609C2214yes—
77#2608C2214yes—
78#2608C2214yes—
79#2606C2214yescomplemented
80#2606C2214yescomplemented
81#2603C2214yes—
82#2602C2214yescomplemented
83#2601C2214yes—
84#2600C2214yes—
85#2599C2212yescomplemented
86#2598C2214yes—
87#2598C2212yescomplemented
88#2597C2214yescomplemented
89#2594C2214yescomplemented
90#2581C2211yescharacteristic, complemented
91#2580C2211yescharacteristic
92#2580C2211yescharacteristic
93#2580C2211yescharacteristic, complemented
94#2577C2214yescomplemented
95#2577C2214yescomplemented
96#2576C2214yescomplemented
97#2576C2214yescomplemented
98#2573C2214yescomplemented
99#2553C2214yescomplemented
100#2553C2214yescomplemented
101#2553C2214yescomplemented
102#2536C2211yescharacteristic, complemented
103#2535C2211yescharacteristic
104#2535C2211yescharacteristic
105#2535C2211yescharacteristic, complemented
106#2534C2214yes—
107#2531C2214yes—
108#2531C2214yescomplemented
109#2531C2214yescomplemented
110#2529C2214yescomplemented
111#2528C2214yescomplemented
112#2526C2214yescomplemented
113#2526C2214yescomplemented
114#2526C2214yescomplemented
115#2522C2214yescomplemented
116#2519C2214yescomplemented
117#2518C2214yescomplemented
118#2517C2214yescomplemented
119#2516C2214yescomplemented
120#2515C2214yescomplemented
121#2513C2214yescomplemented
122#2512C2212yes—
123#2512C2212yescomplemented
124#2510C2214yescomplemented
125#2508C2212yescomplemented
126#2506C2212yescomplemented
127#2505C2214yescomplemented
128#2497C2212yescomplemented
129#2494C2212yescomplemented
130#2490C2212yes—
131#2490C2212yescomplemented
132#2487C2212yes—
133#2485C2212yes—
134#2482C2212yes—
135#2480C2214yes—
136#2478C2214yescomplemented
137#2476C2214yes—
138#2475C2214yes—
139#2471C2214yes—
140#2468C2214yescomplemented
141#2467C2214yescomplemented
142#2466C2214yescomplemented
143#2466C2214yescomplemented
144#2464C2214yes—
145#2460C2214yescomplemented
146#2457C2214yescomplemented
147#2457C2214yescomplemented
148#2456C2214yescomplemented
149#2455C2214yescomplemented
150#2454C2212yes—
151#2454C2214yescomplemented
152#2453C2212yescomplemented
153#2448C2212yes—
154#2445C2212yes—
155#2444C2214yescomplemented
156#2444C2214yescomplemented
157#2428C2212yes—
158#2426C2212yes—
159#2425C2214yescomplemented
160#2425C2214yescomplemented
161#2425C2214yescomplemented
162#2424C2214yes—
163#2423C2212yescomplemented
164#2422C2212yes—
165#2420C2214yescomplemented
166#2420C2214yescomplemented
167#2419C2214yescomplemented
168#2414C2214yescomplemented
169#2411C2214yes—
170#2408C2212yes—
171#2407C2212yes—
172#2404C2212yes—
173#2398C2212yes—
174#2397C2212yes—
175#2395C2212yes—
176#2388C2212yes—
177#2374C2214yescomplemented
178#2373C2214yescomplemented
179#2373C2214yescomplemented
180#2364C2214yescomplemented
181#2363C2214yescomplemented
182#2359C2214yescomplemented
183#2359C2214yescomplemented
184#2359C2214yescomplemented
185#2357C2211yescharacteristic
186#2357C2211yescharacteristic
187#2357C2212yes—
188#2357C2212yes—
189#2357C2211yescharacteristic, complemented
190#2357C2211yescharacteristic, complemented
191#2356C2212yescomplemented
192#2353C2212yes—
193#2353C2212yes—
194#2353C2212yes—
195#2353C2212yes—
196#2353C2214yescomplemented
197#2351C2211yescharacteristic, complemented
198#2351C2211yescharacteristic, complemented
199#2349C2211yescharacteristic
200#2349C2211yescharacteristic
201#2349C2212yescomplemented
202#2349C2214yescomplemented
203#2346C2212yes—
204#2346C2212yes—
205#2346C2214yescomplemented
206#2346C2214yescomplemented
207#2344C2212yes—
208#2343C2212yescomplemented
209#2343C2212yescomplemented
210#2343C2214yescomplemented
211#2342C2214yes—
212#2341C2212yes—
213#2339C2212yes—
214D4×C22⋊C4C2212yes—
215#2330C2212yescomplemented
216#2330C2212yescomplemented
217#2330C2212yescomplemented
218#2328C2211yescharacteristic
219#2328C2211yescharacteristic
220#2326C2211yescharacteristic
221#2326C2211yescharacteristic
222#2326C2212yes—
223#2324C2214yes—
224#2321C2214yes—
225#2320C2212yescomplemented
226#2319C2212yes—
227#2319C2212yes—
228#2319C2214yes—
229#2319C2212yescomplemented
230#2318C2214yes—
231#2317C2211yescharacteristic
232#2311C2211yescharacteristic
233#2309C2211yescharacteristic
234C4×#127C2211yescharacteristic
235C4×#127C2211yescharacteristic
236C4×#124C2211yescharacteristic
237C4×#124C2211yescharacteristic
238C4×C22⋊Q8C2212yescomplemented
239C4×C22⋊Q8C2212yescomplemented
240C4×#121C2212yes—
241C4×#121C2214yes—
242C4×#121C2212yes—
243C4×#121C2212yes—
244C4×#121C2212yescomplemented
245C4×#120C2214yes—
246C4×#120C2214yes—
247#2295C2211yescharacteristic, complemented
248#2295C2211yescharacteristic, complemented
249#2290C2212yes—
250#2290C2212yes—
251#2290C2214yescomplemented
252#2285C2212yescomplemented
253#2283C2211yescharacteristic
254#2283C2211yescharacteristic
255#2283C2211yescharacteristic
256#2283C2212yescomplemented
257#2283C2212yescomplemented
258#2283C2212yescomplemented
259#2280C2212yes—
260C2×#381C2212yes—
261#2276C2212yescomplemented
262#2275C2212yes—
263C42×D4C2211yescharacteristic, complemented
264C42×D4C2211yescharacteristic, complemented
265C4×#117C2211yescharacteristic
266C2×#376C2212yescomplemented
267C22×#41C2311yescharacteristic
268C22×#41C2311yescharacteristic
269C23×D4C2311yescharacteristic
270C24×C4C2312yes—
271#535—28no—
272C2×#127C2311yescharacteristic
273C2×#127C2311yescharacteristic
274#529—216no—
275C2×#126C2314yes—
276C2×#126C2314yes—
277C2×#126C2314yes—
278C2×#125C2312yes—
279C2×#125C2312yes—
280C2×#125C2314yes—
281C2×#124C2311yescharacteristic
282C2×#124C2311yescharacteristic
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×C22⋊Q8C2312yes—
289C2×#121C2314yes—
290C2×#121C2312yes—
291C2×#121C2312yes—
292C2×#121C2312yes—
293C2×#121C2314yes—
294C2×#121C2314yes—
295C2×#121C2314yes—
296C2×#120C2314yes—
297C2×#120C2314yes—
298C4×#41—28no—
299C4×#41—28no—
300C2×C4×Q8C2312yes—
301C2×C4×Q8C2311yescharacteristic
302C2×C4×Q8C2311yescharacteristic
303C2×C4×Q8C2311yescharacteristic
304C2×C4×Q8C2311yescharacteristic
305C2×C4×Q8C2312yes—
306C2×C4×D4—28no—
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2312yes—
311C2×C4×D4C2312yes—
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2312yes—
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2312yes—
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2312yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2314yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2314yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2314yes—
329C2×C4×D4C2314yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2314yes—
332C2×#117C2311yescharacteristic
333C2×#117C2311yescharacteristic
334C2×#117C2312yes—
335C2×#117C2312yes—
336C2×#117C2314yes—
337C2×#117C2311yescharacteristic
338C2×#117C2311yescharacteristic
339C2×#117C2314yes—
340C2×#117C2314yes—
341C22×C4⋊C4C2311yescharacteristic
342C22×C22⋊C4C2312yes—
343C22×C22⋊C4C2314yes—
344C22×C42C2312yes—
345C22×C42C2312yes—
346C22×C42C2312yes—
347C22×C42C2312yes—
348C22×C42C2311yescharacteristic
349#401C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2312yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#399C2312yes—
359#399C2312yes—
360#399C2312yes—
361#399C2314yes—
362#399C2314yes—
363#399C2314yes—
364#399C2314yes—
365#398C2314yes—
366#398C2314yes—
367#398C2312yes—
368#398C2314yes—
369#398C2314yes—
370#398C2314yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2312yes—
384#397C2312yes—
385#397C2312yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#396C2314yes—
394#396C2314yes—
395#396C2314yes—
396#396C2314yes—
397#396C2314yes—
398#396C2314yes—
399#396C2314yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#395C2312yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2312yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#393C2312yes—
421#393C2312yes—
422#393C2312yes—
423#392C2314yes—
424#392C2312yes—
425#392C2314yes—
426#392C2312yes—
427#392C2312yes—
428#392C2314yes—
429#391C2311yescharacteristic
430#391C2311yescharacteristic
431#391C2312yes—
432#391C2312yes—
433#391C2312yes—
434#390C2311yescharacteristic
435#390C2311yescharacteristic
436#390C2311yescharacteristic
437#390C2311yescharacteristic
438#390C2314yes—
439#390C2314yes—
440#390C2314yes—
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2312yes—
444#390C2312yes—
445#390C2312yes—
446#390C2314yes—
447#390C2314yes—
448#390C2312yes—
449#390C2312yes—
450#390C2312yes—
451#390C2312yes—
452#390C2314yes—
453#390C2314yes—
454#390C2314yes—
455#390C2314yes—
456#390C2314yes—
457#389C2314yes—
458#389C2314yes—
459#389C2312yes—
460#389C2312yes—
461#389C2314yes—
462#389C2312yes—
463#389C2312yes—
464#389C2314yes—
465#389C2312yes—
466#389C2312yes—
467#389C2312yes—
468#389C2312yes—
469#389C2312yes—
470#389C2312yes—
471#389C2314yes—
472#389C2314yes—
473#389C2314yes—
474#389C2314yes—
475#389C2314yes—
476#389C2312yes—
477#389C2312yes—
478#389C2314yes—
479#389C2312yes—
480#389C2312yes—
481#389C2314yes—
482#389C2314yes—
483#389C2314yes—
484#389C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2312yes—
520#388C2312yes—
521#388C2312yes—
522#388C2312yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2312yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2312yes—
553#387C2312yes—
554#387C2312yes—
555#387C2312yes—
556#387C2312yes—
557#387C2312yes—
558#387C2312yes—
559#387C2314yes—
560#387C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2312yes—
572#386C2312yes—
573#386C2312yes—
574#386C2312yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
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#385C2312yes—
602#385C2312yes—
603#385C2312yes—
604#385C2312yes—
605#385C2314yes—
606#385C2314yes—
607#384C2311yescharacteristic
608#384C2311yescharacteristic
609#384C2312yes—
610#384C2312yes—
611#383C2312yes—
612#383C2312yes—
613#383C2314yes—
614#383C2312yes—
615#383C2312yes—
616#383C2311yescharacteristic
617#383C2311yescharacteristic
618#382C2311yescharacteristic
619#382C2311yescharacteristic
620#382C2312yes—
621#382C2314yes—
622#382C2312yes—
623#382C2312yes—
624#382C2311yescharacteristic
625#382C2311yescharacteristic
626#382C2311yescharacteristic
627#382C2311yescharacteristic
628#382C2312yes—
629#382C2314yes—
630#382C2314yes—
631#382C2312yes—
632#382C2314yes—
633#381C2314yes—
634#381C2312yes—
635#381C2314yes—
636#381C2314yes—
637#381C2312yes—
638#381C2312yes—
639#381C2312yes—
640#381C2314yes—
641#381C2312yes—
642#381C2311yescharacteristic
643#381C2311yescharacteristic
644#381C2312yes—
645#381C2312yes—
646#381C2312yes—
647#380C2314yes—
648#380C2314yes—
649#380C2312yes—
650#380C2314yes—
651#380C2314yes—
652#380C2312yes—
653#380C2312yes—
654#380C2312yes—
655#380C2312yes—
656#380C2314yes—
657#380C2312yes—
658#380C2312yes—
659#380C2312yes—
660#380C2312yes—
661#380C2314yes—
662#380C2314yes—
663#380C2312yes—
664#380C2312yes—
665#379C2314yes—
666#379C2314yes—
667#379C2314yes—
668C4×C4⋊C4C2314yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2314yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2314yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2311yescharacteristic
684C4×C4⋊C4C2311yescharacteristic
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717#376C2312yes—
718#376C2312yes—
719#376C2314yes—
720#376C2311yescharacteristic
721#376C2311yescharacteristic
722#376C2312yes—
723#376C2312yes—
724#376C2312yes—
725#376C2312yes—
726#376C2314yes—
727#376C2312yes—
728#376C2312yes—
729#376C2312yes—
730C2×#95C2314yes—
731C2×#95C2312yes—
732C2×#95C2312yes—
733C2×#95C2312yes—
734C2×#95C2312yes—
735C2×#95C2312yes—
736C2×#95C2312yes—
737C43C2311yescharacteristic
738C43C2311yescharacteristic
739C25C2412yes—
740C2×#41—24no—
741C2×#41—24no—
742C2×#41—24no—
743C2×#41—44no—
744C2×#41—42no—
745C22×Q8C2411yescharacteristic
746C22×Q8C2411yescharacteristic
747C22×D4—24no—
748C22×D4—24no—
749C22×D4—42no—
750C22×D4C2411yescharacteristic
751C22×D4C2411yescharacteristic
752C22×D4C2411yescharacteristic
753C22×D4C2414yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2411yescharacteristic
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C23×C4—28no—
763C23×C4—84no—
764C23×C4C2412yes—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2411yescharacteristic
769C23×C4C2412yes—
770C23×C4C2414yes—
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2414yes—
781C23×C4C2412yes—
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784#127—24no—
785#127—24no—
786#126—216no—
787#126—84no—
788#126—84no—
789#125—28no—
790#125—44no—
791#125—84no—
792#124—24no—
793#124#4118yescomplemented
794#123—216no—
795#123—48no—
796#123—48no—
797#123—84no—
798#123—84no—
799C22⋊Q8—28no—
800#121—28no—
801#121—216no—
802#121—48no—
803#121—44no—
804#121—44no—
805#121—48no—
806#121—84no—
807#120—216no—
808#120—48no—
809C4×Q8—28no—
810C4×Q8—24no—
811C4×Q8—24no—
812C4×Q8—24no—
813C4×Q8—24no—
814C4×Q8—44no—
815C4×D4—28no—
816C4×D4—28no—
817C4×D4—28no—
818C4×D4—28no—
819C4×D4—28no—
820C4×D4—216no—
821C4×D4—28no—
822C4×D4—24no—
823C4×D4—24no—
824C4×D4—28no—
825C4×D4—24no—
826C4×D4—24no—
827C4×D4—24no—
828C4×D4—24no—
829C4×D4—24no—
830C4×D4—24no—
831C4×D4—44no—
832C4×D4—44no—
833C4×D4—48no—
834C4×D4—44no—
835C4×D4—84no—
836C4×D4—84no—
837C4×D4—84no—
838C4×D4—84no—
839C4×D4—84no—
840#117—24no—
841#117—24no—
842#117—216no—
843#117—28no—
844#117—28no—
845#117—24no—
846#117—42no—
847#117—84no—
848#117—84no—
849C2×C4⋊C4—24no—
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C22⋊C4—28no—
899C2×C22⋊C4—84no—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C42—28no—
953C2×C42—28no—
954C2×C42—28no—
955C2×C42—44no—
956C2×C42#4118yes—
957C2×C42C2412yes—
958C2×C42C2412yes—
959C2×C42C2412yes—
960C2×C42C2414yes—
961C2×C42C2411yescharacteristic
962C2×C42C2411yescharacteristic
963C2×C42C2411yescharacteristic
964C2×C42C2412yes—
965C2×C42C2412yes—
966C2×C42C2412yes—
967C2×C42C2412yes—
968C2×C42C2412yes—
969C2×C42C2412yes—
970C2×C42C2412yes—
971C2×C42C2414yes—
972C2×C42C2414yes—
973C2×C42C2414yes—
974C2×C42C2412yes—
975C2×C42C2412yes—
976C2×C42C2414yes—
977C2×C42C2414yes—
978C2×C42C2412yes—
979C2×C42C2412yes—
980C2×C42C2414yes—
981C2×C42C2414yes—
982C2×C42C2412yes—
983C2×C42C2412yes—
984C2×C42C2411yescharacteristic
985C2×C42C2411yescharacteristic
986C2×C42C2411yescharacteristic
987C2×C42C2411yescharacteristic
988C2×C42C2411yescharacteristic
989#95C2412yes—
990#95C2412yes—
991#95C2412yes—
992#95C2411yescharacteristic
993#95C2411yescharacteristic
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2411yescharacteristic
1025#95C2411yescharacteristic
1026#95C2412yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057C24—24no—
1058C24—24no—
1059C24—44no—
1060C24—42no—
1061C24—44no—
1062C24C2512yes—
1063C24C2512yes—
1064C24C2511yescharacteristic
1065C24C2512yes—
1066C24C2512yes—
1067#41—416no—
1068#41—416no—
1069C2×Q8—22no—
1070C2×Q8—22no—
1071C2×Q8—22no—
1072C2×Q8—42no—
1073C2×Q8C2×#4114yes—
1074C2×D4—24no—
1075C2×D4—24no—
1076C2×D4—24no—
1077C2×D4—28no—
1078C2×D4—24no—
1079C2×D4—24no—
1080C2×D4—28no—
1081C2×D4—28no—
1082C2×D4—28no—
1083C2×D4—28no—
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—24no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—24no—
1090C2×D4—22no—
1091C2×D4—22no—
1092C2×D4—28no—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—22no—
1096C2×D4—416no—
1097C2×D4—44no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4C2×#4114yes—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—24no—
1113C22×C4—24no—
1114C22×C4—24no—
1115C22×C4—28no—
1116C22×C4—24no—
1117C22×C4—24no—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—24no—
1121C22×C4—24no—
1122C22×C4—24no—
1123C22×C4—24no—
1124C22×C4—24no—
1125C22×C4—24no—
1126C22×C4—24no—
1127C22×C4—24no—
1128C22×C4—24no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—24no—
1132C22×C4—42no—
1133C22×C4—44no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—42no—
1143C22×C4—42no—
1144C22×C4—44no—
1145C22×C4—42no—
1146C22×C4—42no—
1147C22×C4—42no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—42no—
1153C22×C4—44no—
1154C22×C4—42no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—816no—
1159C22×C4C2×#4114yes—
1160C22×C4C2×#4114yes—
1161C22×C4C2×#4114yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2512yes—
1170C22×C4C2514yes—
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2514yes—
1175C22×C4C2514yes—
1176C22×C4C2514yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2511yescharacteristic
1182C22×C4C2511yescharacteristic
1183C22×C4C2511yescharacteristic
1184C22×C4C2512yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2512yes—
1187C22×C4C2511yescharacteristic
1188C4⋊C4—24no—
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—24no—
1192C4⋊C4—24no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—24no—
1198C4⋊C4—24no—
1199C4⋊C4—24no—
1200C4⋊C4—28no—
1201C4⋊C4—28no—
1202C4⋊C4—24no—
1203C4⋊C4—28no—
1204C4⋊C4—24no—
1205C4⋊C4—28no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—42no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—42no—
1214C4⋊C4—42no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—42no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—42no—
1232C4⋊C4—44no—
1233C4⋊C4—42no—
1234C4⋊C4—44no—
1235C4⋊C4—42no—
1236C22⋊C4—24no—
1237C22⋊C4—24no—
1238C22⋊C4—28no—
1239C22⋊C4—28no—
1240C22⋊C4—24no—
1241C22⋊C4—24no—
1242C22⋊C4—28no—
1243C22⋊C4—24no—
1244C22⋊C4—24no—
1245C22⋊C4—24no—
1246C22⋊C4—24no—
1247C22⋊C4—24no—
1248C22⋊C4—24no—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—24no—
1252C22⋊C4—28no—
1253C22⋊C4—28no—
1254C22⋊C4—42no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—42no—
1264C22⋊C4—44no—
1265C22⋊C4—42no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4C2×#41116yes—
1288C42—24no—
1289C42—24no—
1290C42—24no—
1291C42—24no—
1292C42—24no—
1293C42—24no—
1294C42—24no—
1295C42—24no—
1296C42—24no—
1297C42—28no—
1298C42—22no—
1299C42—22no—
1300C42—24no—
1301C42—22no—
1302C42—42no—
1303C42—42no—
1304C42—44no—
1305C42—44no—
1306C42—44no—
1307C42—42no—
1308C42—42no—
1309C42—44no—
1310C42—42no—
1311C42—44no—
1312C42—42no—
1313C42—44no—
1314C42—44no—
1315C42C2×#4114yes—
1316C42C2×#4114yes—
1317C42C2×#4114yes—
1318C42C2×#4114yes—
1319C42C2×#4114yes—
1320C23—22no—
1321C23—22no—
1322C23—22no—
1323C23—21no—
1324C23—21no—
1325C23—22no—
1326C23—24no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—24no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—24no—
1339C23—24no—
1340C23—22no—
1341C23—22no—
1342C23—24no—
1343C23—24no—
1344C23—48no—
1345C23—48no—
1346C23—88no—
1347C23—84no—
1348C23—88no—
1349C23C22×#4114yes—
1350C23C22×#4112yes—
1351C23#58514yes—
1352C23C2611yescharacteristic
1353Q8—28no—
1354Q8—44no—
1355D4—28no—
1356D4—28no—
1357D4—48no—
1358D4—48no—
1359D4—416no—
1360D4—48no—
1361D4—44no—
1362D4—44no—
1363D4—88no—
1364D4—88no—
1365D4—88no—
1366D4—88no—
1367C2×C4—22no—
1368C2×C4—21no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—21no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—28no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—24no—
1388C2×C4—24no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—24no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—24no—
1401C2×C4—24no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—24no—
1409C2×C4—24no—
1410C2×C4—24no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—24no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—24no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—24no—
1428C2×C4—44no—
1429C2×C4—44no—
1430C2×C4—48no—
1431C2×C4—48no—
1432C2×C4—48no—
1433C2×C4—48no—
1434C2×C4—48no—
1435C2×C4—84no—
1436C2×C4—84no—
1437C2×C4—84no—
1438C2×C4—84no—
1439C2×C4—84no—
1440C2×C4—84no—
1441C2×C4—84no—
1442C2×C4—84no—
1443C2×C4—88no—
1444C2×C4—84no—
1445C2×C4—84no—
1446C2×C4—164no—
1447C2×C4C22×#4112yes—
1448C2×C4C22×#4112yes—
1449C2×C4C22×#4112yes—
1450C2×C4C22×#4112yes—
1451C2×C4C22×#4114yes—
1452C2×C4C22×#4114yes—
1453C2×C4C22×#4112yes—
1454C2×C4C22×#4112yes—
1455C2×C4C22×#4112yes—
1456C2×C4#58512yes—
1457C22—24no—
1458C22—28no—
1459C22—24no—
1460C22—22no—
1461C22—22no—
1462C22—24no—
1463C22—22no—
1464C22—24no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—44no—
1472C22—42no—
1473C22—42no—
1474C22—44no—
1475C22—44no—
1476C22—42no—
1477C22—42no—
1478C22—42no—
1479C22—42no—
1480C22—44no—
1481C22—44no—
1482C22—42no—
1483C22—42no—
1484C22—816no—
1485C22C23×#4111yescharacteristic
1486C22C23×#4111yescharacteristic
1487C22C2×#58512yes—
1488C22C2×#58511yescharacteristic
1489C22H(7,𝔽2)12yes—
1490C4—24no—
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—24no—
1497C4—42no—
1498C4—44no—
1499C4—42no—
1500C4—44no—
1501C4—42no—
1502C4—42no—
1503C4—42no—
1504C4—42no—
1505C4—42no—
1506C4—42no—
1507C4—42no—
1508C4—42no—
1509C4—42no—
1510C4—42no—
1511C4—42no—
1512C4—44no—
1513C4—44no—
1514C4—42no—
1515C4#347514yes—
1516C2—44no—
1517C2—44no—
1518C2—42no—
1519C2—82no—
1520C2—82no—
1521C2C2×#347511yescharacteristic
1522C2#6281411yescharacteristic
1523C2#6285511yescharacteristic
1524C2#6294112yes—
1525C2#6300812yes—
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. #59368C2semidirect
2. #59364C2semidirect
3. #59356C2semidirect
4. #59351C2semidirect
5. #44676C2semidirect
6. #44472C2semidirect
7. #44291C2semidirect
8. #43971C2semidirect
9. #39756C2semidirect
10. #39630C2semidirect
11. #39046C2semidirect
12. #39041C2semidirect
13. #38972C2semidirect
14. #38969C2semidirect
15. #37937C2semidirect
16. #37751C2semidirect
17. #36539C2semidirect
18. #36498C2semidirect
19. #36211C2semidirect
20. #36135C2semidirect
21. #35587C2semidirect
22. #35549C2semidirect
23. #35345C2semidirect
24. #35271C2semidirect
25. #34963C2semidirect
26. #34909C2semidirect
27. #34220C2semidirect
28. #34197C2semidirect
29. #34190C2semidirect
30. #34123C2semidirect
31. C4×#535C2semidirect
37. #2864C22semidirect
38. #2864C22semidirect
39. #2859C22semidirect
40. #2859C22semidirect
43. #2854C22semidirect
44. #2851C22semidirect
45. #2808C22semidirect
46. #2807C22semidirect
47. #2788C22semidirect
48. #2775C22semidirect
49. #2773C22semidirect
50. #2768C22semidirect
51. #2767C22semidirect
55. #2751C22semidirect
58. #2748C22semidirect
59. #2747C22semidirect
61. #2727C22semidirect
64. #2694C22semidirect
69. #2647C22semidirect
71. #2644C22semidirect
75. #2611C22semidirect
79. #2606C22semidirect
80. #2606C22semidirect
82. #2602C22semidirect
85. #2599C22semidirect
87. #2598C22semidirect
88. #2597C22semidirect
89. #2594C22semidirect
90. #2581C22semidirect
93. #2580C22semidirect
94. #2577C22semidirect
95. #2577C22semidirect
96. #2576C22semidirect
97. #2576C22semidirect
98. #2573C22semidirect
99. #2553C22semidirect
100. #2553C22semidirect
101. #2553C22semidirect
102. #2536C22semidirect
105. #2535C22semidirect
108. #2531C22semidirect
109. #2531C22semidirect
110. #2529C22semidirect
111. #2528C22semidirect
112. #2526C22semidirect
113. #2526C22semidirect
114. #2526C22semidirect
115. #2522C22semidirect
116. #2519C22semidirect
117. #2518C22semidirect
118. #2517C22semidirect
119. #2516C22semidirect
120. #2515C22semidirect
121. #2513C22semidirect
123. #2512C22semidirect
124. #2510C22semidirect
125. #2508C22semidirect
126. #2506C22semidirect
127. #2505C22semidirect
128. #2497C22semidirect
129. #2494C22semidirect
131. #2490C22semidirect
136. #2478C22semidirect
140. #2468C22semidirect
141. #2467C22semidirect
142. #2466C22semidirect
143. #2466C22semidirect
145. #2460C22semidirect
146. #2457C22semidirect
147. #2457C22semidirect
148. #2456C22semidirect
149. #2455C22semidirect
151. #2454C22semidirect
152. #2453C22semidirect
155. #2444C22semidirect
156. #2444C22semidirect
159. #2425C22semidirect
160. #2425C22semidirect
161. #2425C22semidirect
163. #2423C22semidirect
165. #2420C22semidirect
166. #2420C22semidirect
167. #2419C22semidirect
168. #2414C22semidirect
177. #2374C22semidirect
178. #2373C22semidirect
179. #2373C22semidirect
180. #2364C22semidirect
181. #2363C22semidirect
182. #2359C22semidirect
183. #2359C22semidirect
184. #2359C22semidirect
189. #2357C22semidirect
190. #2357C22semidirect
191. #2356C22semidirect
196. #2353C22semidirect
197. #2351C22semidirect
198. #2351C22semidirect
201. #2349C22semidirect
202. #2349C22semidirect
205. #2346C22semidirect
206. #2346C22semidirect
208. #2343C22semidirect
209. #2343C22semidirect
210. #2343C22semidirect
215. #2330C22semidirect
216. #2330C22semidirect
217. #2330C22semidirect
225. #2320C22semidirect
229. #2319C22semidirect
238. C4×C22⋊Q8C22semidirect
239. C4×C22⋊Q8C22semidirect
244. C4×#121C22semidirect
247. #2295C22semidirect
248. #2295C22semidirect
251. #2290C22semidirect
252. #2285C22semidirect
256. #2283C22semidirect
257. #2283C22semidirect
258. #2283C22semidirect
261. #2276C22semidirect
263. C42×D4C22semidirect
264. C42×D4C22semidirect
266. C2×#376C22semidirect
793. #124#41semidirect

Maximal subgroups

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

subgroupindex
#593682
#593642
#593562
#593512
#446762
#444722
#442912
#439712
#397562
#396302
#390462
#390412
#389722
#389692
#379372
#377512
#365392
#364982
#362112
#361352
#355872
#355492
#353452
#352712
#349632
#349092
#342202
#341972
#341902
#341232
C4×#5352