Finite Group Databasebeta

← #7696169

Subgroups — #7696169

Order 512.

5276 conjugacy classes of subgroups.

The subgroup lattice has 1510 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60033C212yesmaximal, complemented
2#59700C212yesmaximal, complemented
3#59581C214yesmaximal, complemented
4#59001C211yesmaximal, characteristic, complemented
5#52294C212yesmaximal, complemented
6#52178C211yesmaximal, characteristic, complemented
7#45420C211yesmaximal, characteristic, complemented
8#45415C212yesmaximal, complemented
9#45247C212yesmaximal, complemented
10#45047C211yesmaximal, characteristic, complemented
11#44814C212yesmaximal, complemented
12#44306C212yesmaximal, complemented
13#44303C214yesmaximal, complemented
14#43407C214yesmaximal, complemented
15#40414C214yesmaximal, complemented
16#40159C214yesmaximal, complemented
17#39069C212yesmaximal, complemented
18#38593C214yesmaximal, complemented
19#38216C212yesmaximal, complemented
20#37669C212yesmaximal, complemented
21#36581C211yesmaximal, characteristic, complemented
22#36490C212yesmaximal, complemented
23#35985C211yesmaximal, characteristic, complemented
24#35941C211yesmaximal, characteristic, complemented
25#35800C212yesmaximal, complemented
26#35704C212yesmaximal, complemented
27#34312C212yesmaximal, complemented
28#34285C212yesmaximal, complemented
29#34200C212yesmaximal, complemented
30C2×#553C2211yescharacteristic
31C2×#550C2211yescharacteristic, complemented
32C2×#548C2212yes—
33C2×#542C2212yes—
34C2×#525C2212yes—
35C2×#520C2212yes—
36C2×#519C2211yescharacteristic, complemented
37C23×C4⋊C4C2211yescharacteristic
38#2866C2214yescomplemented
39#2860C2212yescomplemented
40#2847C2211yescharacteristic
41#2847C2212yes—
42#2804C2212yescomplemented
43#2800C2214yescomplemented
44#2792C2214yescomplemented
45#2788C2214yes—
46#2763C2214yes—
47#2763C2212yes—
48#2758C2214yescomplemented
49#2756C2214yes—
50#2755C2214yescomplemented
51#2753C2214yes—
52#2753C2214yes—
53#2753C2214yes—
54#2753C2214yescomplemented
55#2742C2211yescharacteristic
56#2742C2212yescomplemented
57#2741C2212yes—
58#2741C2214yescomplemented
59#2741C2214yescomplemented
60#2740C2212yes—
61#2739C2212yes—
62#2738C2212yes—
63#2737C2212yes—
64#2736C2211yescharacteristic
65#2735C2211yescharacteristic
66#2722C2211yescharacteristic
67#2718C2214yescomplemented
68#2714C2214yes—
69#2712C2212yes—
70#2712C2214yes—
71#2710C2214yescomplemented
72#2705C2214yes—
73#2702C2214yescomplemented
74#2696C2214yes—
75#2692C2214yescomplemented
76#2685C2212yes—
77#2678C2214yes—
78#2671C2214yes—
79#2670C2214yes—
80#2670C2212yes—
81#2669C2212yes—
82#2661C2212yescomplemented
83#2648C2214yes—
84#2641C2211yescharacteristic, complemented
85#2637C2212yescomplemented
86#2635C2214yes—
87#2624C2212yes—
88#2624C2211yescharacteristic, complemented
89#2619C2212yes—
90#2604C2212yescomplemented
91#2602C2214yes—
92#2602C2214yes—
93#2598C2214yes—
94#2597C2214yes—
95#2597C2214yescomplemented
96#2595C2214yescomplemented
97#2593C2212yescomplemented
98#2591C2212yes—
99#2591C2214yescomplemented
100#2589C2214yescomplemented
101#2587C2214yes—
102#2584C2211yescharacteristic, complemented
103#2581C2212yescomplemented
104#2580C2212yes—
105#2579C2212yes—
106#2578C2214yes—
107#2578C2214yescomplemented
108#2575C2214yescomplemented
109#2559C2214yes—
110#2559C2214yescomplemented
111#2557C2214yes—
112#2555C2214yes—
113#2553C2214yescomplemented
114#2548C2212yescomplemented
115#2544C2214yes—
116#2543C2212yes—
117#2541C2211yescharacteristic
118#2532C2214yescomplemented
119#2523C2212yes—
120#2522C2214yes—
121#2521C2214yes—
122#2518C2214yes—
123#2518C2214yescomplemented
124#2518C2214yescomplemented
125#2517C2212yescomplemented
126#2515C2214yescomplemented
127#2513C2212yescomplemented
128#2511C2214yescomplemented
129#2509C2212yescomplemented
130#2508C2212yescomplemented
131#2508C2214yescomplemented
132#2504C2211yescharacteristic
133#2500C2214yescomplemented
134#2495C2212yescomplemented
135#2491C2212yes—
136#2491C2212yescomplemented
137#2487C2211yescharacteristic
138#2481C2214yes—
139#2476C2214yes—
140#2476C2214yescomplemented
141#2476C2214yescomplemented
142#2470C2214yescomplemented
143#2470C2214yescomplemented
144#2469C2214yescomplemented
145#2468C2214yes—
146#2467C2214yes—
147#2467C2214yes—
148#2467C2214yescomplemented
149#2464C2214yes—
150#2463C2212yes—
151#2461C2214yes—
152#2459C2214yes—
153#2459C2214yes—
154#2457C2214yes—
155#2456C2214yes—
156#2456C2214yes—
157#2456C2214yes—
158#2455C2212yes—
159#2453C2212yescomplemented
160#2451C2212yescomplemented
161#2448C2212yescomplemented
162#2448C2214yescomplemented
163#2445C2212yescomplemented
164#2445C2212yescomplemented
165#2443C2214yes—
166#2442C2212yes—
167#2439C2212yes—
168#2436C2211yescharacteristic, complemented
169#2431C2212yes—
170#2431C2212yes—
171#2430C2212yescomplemented
172#2428C2212yes—
173#2428C2214yes—
174#2428C2212yescomplemented
175#2427C2214yes—
176#2427C2214yescomplemented
177#2426C2212yes—
178#2426C2212yes—
179#2421C2212yes—
180#2416C2212yes—
181#2414C2212yes—
182#2409C2211yescharacteristic
183#2406C2214yescomplemented
184#2398C2212yes—
185#2398C2214yes—
186#2398C2211yescharacteristic
187#2396C2212yes—
188#2395C2211yescharacteristic
189#2395C2212yes—
190#2388C2214yes—
191#2388C2212yes—
192#2374C2214yes—
193#2369C2212yescomplemented
194#2368C2214yescomplemented
195#2367C2214yes—
196#2367C2212yescomplemented
197#2367C2212yescomplemented
198#2367C2212yescomplemented
199#2366C2212yes—
200#2365C2212yescomplemented
201#2363C2214yes—
202#2363C2212yes—
203#2363C2214yes—
204#2363C2212yescomplemented
205#2362C2212yes—
206#2362C2214yescomplemented
207#2361C2212yes—
208#2361C2212yes—
209#2361C2212yes—
210#2361C2212yes—
211#2361C2212yes—
212#2360C2212yes—
213#2360C2212yes—
214#2360C2212yes—
215#2360C2212yes—
216#2360C2214yescomplemented
217#2359C2214yes—
218#2357C2212yescomplemented
219#2352C2212yes—
220#2352C2214yes—
221#2352C2214yes—
222#2352C2214yescomplemented
223#2351C2212yescomplemented
224D4×C4⋊C4C2214yes—
225D4×C4⋊C4C2214yes—
226#2346C2211yescharacteristic, complemented
227#2345C2211yescharacteristic
228#2341C2212yes—
229Q8×C22⋊C4C2212yescomplemented
230#2337C2214yes—
231#2334C2214yescomplemented
232#2324C2214yes—
233#2324C2212yescomplemented
234#2323C2212yes—
235#2323C2214yescomplemented
236#2322C2214yes—
237#2322C2214yes—
238#2320C2212yescomplemented
239#2317C2212yes—
240#2311C2212yes—
241C4×#126C2212yes—
242C4×#126C2214yescomplemented
243C4×#124C2214yes—
244C4×#124C2214yes—
245C4×#124C2214yes—
246C4×#124C2212yescomplemented
247C4×#120C2212yes—
248C4×#120C2214yes—
249C4×#120C2211yescharacteristic
250C4×#120C2214yes—
251#2298C2212yes—
252#2293C2212yes—
253#2293C2214yescomplemented
254#2293C2212yescomplemented
255#2280C2212yes—
256#2275C2211yescharacteristic, complemented
257#2274C2212yes—
258C42×Q8C2212yescomplemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C23×Q8C2311yescharacteristic
262C24×C4C2311yescharacteristic
263C24×C4C2312yes—
264#553—44no—
265#550—44no—
266#548—216no—
267#542—216no—
268C2×C4⋊Q8C2312yes—
269C2×#127C2312yes—
270C2×#127C2312yes—
271C2×#127C2311yescharacteristic
272C2×#126C2314yes—
273C2×#126C2312yes—
274C2×#126C2312yes—
275C2×#126C2314yes—
276C2×#125C2311yescharacteristic
277C2×#124C2314yes—
278C2×#124C2314yes—
279C2×#124C2312yes—
280C2×#124C2312yes—
281C2×#124C2314yes—
282C2×#124C2314yes—
283#525—216no—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2312yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×C22⋊Q8C2314yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2312yes—
293C2×#121C2314yes—
294C2×#121C2312yes—
295C2×#121C2312yes—
296C2×#121C2312yes—
297C2×#121C2312yes—
298C2×#121C2312yes—
299C2×#121C2314yes—
300C2×#121C2311yescharacteristic
301C2×#121C2314yes—
302C2×#121C2311yescharacteristic
303C2×#121C2312yes—
304C2×#121C2314yes—
305C2×#121C2314yes—
306C2×#120C2314yes—
307C2×#120C2311yescharacteristic
308C2×#120C2312yes—
309#520—48no—
310#519—44no—
311C2×C4×Q8C2312yes—
312C2×C4×Q8C2312yes—
313C2×C4×Q8C2312yes—
314C2×C4×Q8C2312yes—
315C2×C4×Q8C2312yes—
316C2×C4×Q8C2312yes—
317C2×C4×Q8C2311yescharacteristic
318C2×C4×Q8C2312yes—
319C2×C4×Q8C2314yes—
320C2×C4×D4C2314yes—
321C2×C4×D4C2314yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2314yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2312yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2314yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2314yes—
333C2×C4×D4C2314yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2314yes—
337C2×#117C2312yes—
338C2×#117C2312yes—
339C2×#117C2311yescharacteristic
340C2×#117C2312yes—
341C2×#117C2314yes—
342C2×#117C2314yes—
343C2×#117C2311yescharacteristic
344C2×#117C2314yes—
345C22×C4⋊C4—44no—
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2312yes—
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2314yes—
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2314yes—
352C22×C4⋊C4C2311yescharacteristic
353#400C2312yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2312yes—
360#400C2312yes—
361#400C2314yes—
362#400C2314yes—
363#400C2311yescharacteristic
364#400C2314yes—
365#400C2312yes—
366#399C2314yes—
367#399C2311yescharacteristic
368#399C2312yes—
369#399C2314yes—
370#399C2312yes—
371#399C2312yes—
372#399C2312yes—
373#398C2314yes—
374#398C2312yes—
375#398C2314yes—
376#398C2311yescharacteristic
377#398C2314yes—
378#398C2312yes—
379#398C2312yes—
380#398C2312yes—
381#398C2314yes—
382#397C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2312yes—
390#397C2312yes—
391#397C2311yescharacteristic
392#397C2312yes—
393#397C2312yes—
394#397C2312yes—
395#397C2311yescharacteristic
396#397C2311yescharacteristic
397#396C2314yes—
398#396C2312yes—
399#396C2314yes—
400#396C2314yes—
401#396C2312yes—
402#396C2314yes—
403#395C2314yes—
404#395C2312yes—
405#395C2312yes—
406#395C2312yes—
407#395C2314yes—
408#394C2312yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2312yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2312yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2312yes—
431#394C2312yes—
432#394C2312yes—
433#394C2314yes—
434#393C2312yes—
435#393C2312yes—
436#393C2314yes—
437#393C2312yes—
438#393C2312yes—
439#393C2311yescharacteristic
440#393C2314yes—
441#393C2311yescharacteristic
442#393C2314yes—
443#392C2314yes—
444#392C2314yes—
445#392C2314yes—
446#392C2314yes—
447#392C2314yes—
448#392C2314yes—
449#392C2314yes—
450#392C2312yes—
451#392C2314yes—
452#392C2314yes—
453#392C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2314yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2314yes—
465#390C2312yes—
466#390C2312yes—
467#390C2312yes—
468#390C2314yes—
469#390C2314yes—
470#390C2312yes—
471#390C2314yes—
472#390C2312yes—
473#390C2314yes—
474#390C2314yes—
475#390C2312yes—
476#390C2314yes—
477#390C2314yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2314yes—
483#390C2312yes—
484#390C2314yes—
485#390C2314yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2314yes—
493#389C2314yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2312yes—
498#389C2312yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#388C2312yes—
510#388C2312yes—
511#388C2312yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#387C2312yes—
561#387C2312yes—
562#387C2312yes—
563#387C2312yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2312yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2312yes—
587#386C2314yes—
588#386C2314yes—
589#386C2312yes—
590#386C2312yes—
591#386C2314yes—
592#386C2314yes—
593#386C2312yes—
594#386C2312yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2311yescharacteristic
599#386C2312yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2312yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2311yescharacteristic
624#385C2314yes—
625#385C2312yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2312yes—
635#385C2312yes—
636#384C2314yes—
637#383C2312yes—
638#383C2314yes—
639#383C2314yes—
640#382C2314yes—
641#382C2312yes—
642#382C2314yes—
643#382C2312yes—
644#382C2312yes—
645#382C2314yes—
646#382C2314yes—
647#381C2314yes—
648#381C2312yes—
649#381C2312yes—
650#380C2314yes—
651#380C2314yes—
652#380C2314yes—
653#380C2312yes—
654#380C2314yes—
655#380C2312yes—
656#380C2312yes—
657#380C2311yescharacteristic
658#380C2314yes—
659#380C2311yescharacteristic
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#379C2312yes—
665#379C2311yescharacteristic
666#379C2312yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2314yes—
671C4×C4⋊C4C2314yes—
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2314yes—
676C4×C4⋊C4C2311yescharacteristic
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C22⋊C4C2311yescharacteristic
687C4×C22⋊C4C2312yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2311yescharacteristic
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715#376C2311yescharacteristic
716#376C2312yes—
717C2×#95C2312yes—
718C43C2312yes—
719C43C2314yes—
720C25C2411yescharacteristic
721C2×#41—28no—
722C2×#41—28no—
723C2×#41—44no—
724C2×#41—44no—
725C2×#41—84no—
726C22×Q8—28no—
727C22×Q8—42no—
728C22×Q8C2412yes—
729C22×Q8C2412yes—
730C22×Q8C2414yes—
731C22×Q8C2411yescharacteristic
732C22×D4C2411yescharacteristic
733C22×D4C2412yes—
734C22×D4C2414yes—
735C22×D4C2414yes—
736C22×D4C2414yes—
737C22×D4C2412yes—
738C22×D4C2412yes—
739C22×D4C2414yes—
740C22×D4C2411yescharacteristic
741C22×D4C2414yes—
742C22×D4C2412yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2412yes—
746C22×D4C2412yes—
747C23×C4—28no—
748C23×C4—42no—
749C23×C4—44no—
750C23×C4—84no—
751C23×C4C2411yescharacteristic
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2412yes—
755C23×C4C2414yes—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2414yes—
759C23×C4C2412yes—
760C23×C4C2414yes—
761C23×C4C2414yes—
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2414yes—
765C23×C4C2414yes—
766C4⋊Q8—28no—
767#127—44no—
768#127—42no—
769#127—44no—
770#126—216no—
771#126—44no—
772#126—44no—
773#126—84no—
774#125—42no—
775#124—28no—
776#124—28no—
777#124—216no—
778#124—216no—
779#124—48no—
780#124—84no—
781#123—216no—
782#123—216no—
783#123—44no—
784#123—84no—
785#123—84no—
786C22⋊Q8—28no—
787C22⋊Q8—216no—
788C22⋊Q8—216no—
789C22⋊Q8#41116yescomplemented
790#121—28no—
791#121—28no—
792#121—28no—
793#121—28no—
794#121—216no—
795#121—44no—
796#121—48no—
797#121—44no—
798#121—48no—
799#121—42no—
800#121—42no—
801#121—84no—
802#121—84no—
803#120—216no—
804#120—44no—
805#120—42no—
806C4×Q8—28no—
807C4×Q8—28no—
808C4×Q8—28no—
809C4×Q8—44no—
810C4×Q8—42no—
811C4×Q8—44no—
812C4×Q8—44no—
813C4×Q8—44no—
814C4×Q8—84no—
815C4×D4—28no—
816C4×D4—216no—
817C4×D4—28no—
818C4×D4—216no—
819C4×D4—28no—
820C4×D4—24no—
821C4×D4—216no—
822C4×D4—44no—
823C4×D4—48no—
824C4×D4—44no—
825C4×D4—42no—
826C4×D4—48no—
827C4×D4—84no—
828C4×D4—84no—
829C4×D4—84no—
830C4×D4—84no—
831C4×D4—84no—
832#117—28no—
833#117—28no—
834#117—24no—
835#117—42no—
836#117—44no—
837#117—48no—
838#117—48no—
839#117—84no—
840C2×C4⋊C4—28no—
841C2×C4⋊C4—24no—
842C2×C4⋊C4—44no—
843C2×C4⋊C4—48no—
844C2×C4⋊C4—42no—
845C2×C4⋊C4—44no—
846C2×C4⋊C4—48no—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2411yescharacteristic
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2411yescharacteristic
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2411yescharacteristic
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C42C2414yes—
959C2×C42C2412yes—
960C2×C42C2414yes—
961C2×C42C2412yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2412yes—
965C2×C42C2411yescharacteristic
966C2×C42C2412yes—
967C2×C42C2414yes—
968C2×C42C2414yes—
969C2×C42C2412yes—
970C2×C42C2414yes—
971C2×C42C2414yes—
972C2×C42C2414yes—
973C2×C42C2414yes—
974C2×C42C2414yes—
975C2×C42C2414yes—
976C2×C42C2414yes—
977C2×C42C2414yes—
978C2×C42C2412yes—
979C2×C42C2412yes—
980C2×C42C2412yes—
981C2×C42C2412yes—
982#95C2411yescharacteristic
983#95C2414yes—
984#95C2412yes—
985#95C2411yescharacteristic
986#95C2411yescharacteristic
987#95C2412yes—
988#95C2412yes—
989#95C2414yes—
990#95C2412yes—
991#95C2414yes—
992#95C2412yes—
993#95C2414yes—
994#95C2412yes—
995#95C2412yes—
996#95C2414yes—
997#95C2414yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2412yes—
1005#95C2414yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2411yescharacteristic
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041C24—24no—
1042C24—22no—
1043C24—41no—
1044C24—42no—
1045C24—41no—
1046C24C2512yes—
1047C24C2514yes—
1048C24C2511yescharacteristic
1049C24C2512yes—
1050C24C2511yescharacteristic
1051#41—432no—
1052#41—816no—
1053C2×Q8—24no—
1054C2×Q8—28no—
1055C2×Q8—28no—
1056C2×Q8—24no—
1057C2×Q8—42no—
1058C2×Q8—41no—
1059C2×Q8—42no—
1060C2×Q8—44no—
1061C2×Q8—44no—
1062C2×Q8—416no—
1063C2×Q8C2×#4118yes—
1064C2×D4—28no—
1065C2×D4—28no—
1066C2×D4—28no—
1067C2×D4—24no—
1068C2×D4—28no—
1069C2×D4—24no—
1070C2×D4—22no—
1071C2×D4—28no—
1072C2×D4—24no—
1073C2×D4—28no—
1074C2×D4—24no—
1075C2×D4—24no—
1076C2×D4—28no—
1077C2×D4—24no—
1078C2×D4—22no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—42no—
1084C2×D4—41no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—44no—
1090C2×D4—42no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—42no—
1097C2×D4—41no—
1098C2×D4—42no—
1099C2×D4—44no—
1100C2×D4—42no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—42no—
1104C2×D4—44no—
1105C2×D4—42no—
1106C22×C4—24no—
1107C22×C4—24no—
1108C22×C4—24no—
1109C22×C4—24no—
1110C22×C4—28no—
1111C22×C4—28no—
1112C22×C4—24no—
1113C22×C4—28no—
1114C22×C4—24no—
1115C22×C4—24no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—28no—
1119C22×C4—28no—
1120C22×C4—24no—
1121C22×C4—28no—
1122C22×C4—24no—
1123C22×C4—41no—
1124C22×C4—42no—
1125C22×C4—44no—
1126C22×C4—42no—
1127C22×C4—416no—
1128C22×C4—42no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—816no—
1145C22×C4C2×#4118yes—
1146C22×C4C2511yescharacteristic
1147C22×C4C2512yes—
1148C22×C4C2512yes—
1149C22×C4C2514yes—
1150C22×C4C2514yes—
1151C22×C4C2512yes—
1152C22×C4C2511yescharacteristic
1153C22×C4C2511yescharacteristic
1154C22×C4C2512yes—
1155C22×C4C2511yescharacteristic
1156C22×C4C2512yes—
1157C22×C4C2512yes—
1158C22×C4C2512yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2514yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2514yes—
1166C22×C4C2514yes—
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2511yescharacteristic
1170C4⋊C4—24no—
1171C4⋊C4—24no—
1172C4⋊C4—24no—
1173C4⋊C4—24no—
1174C4⋊C4—28no—
1175C4⋊C4—28no—
1176C4⋊C4—24no—
1177C4⋊C4—28no—
1178C4⋊C4—28no—
1179C4⋊C4—28no—
1180C4⋊C4—24no—
1181C4⋊C4—22no—
1182C4⋊C4—24no—
1183C4⋊C4—28no—
1184C4⋊C4—22no—
1185C4⋊C4—44no—
1186C4⋊C4—42no—
1187C4⋊C4—42no—
1188C4⋊C4—44no—
1189C4⋊C4—42no—
1190C4⋊C4—42no—
1191C4⋊C4—44no—
1192C4⋊C4—42no—
1193C4⋊C4—44no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—42no—
1199C4⋊C4—41no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—41no—
1205C4⋊C4—42no—
1206C4⋊C4—42no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—42no—
1210C4⋊C4—44no—
1211C4⋊C4—42no—
1212C4⋊C4—42no—
1213C4⋊C4—42no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4C2×#4118yes—
1217C4⋊C4C2×#41116yes—
1218C4⋊C4H(5,𝔽2)14yes—
1219C22⋊C4—24no—
1220C22⋊C4—24no—
1221C22⋊C4—24no—
1222C22⋊C4—24no—
1223C22⋊C4—22no—
1224C22⋊C4—24no—
1225C22⋊C4—24no—
1226C22⋊C4—28no—
1227C22⋊C4—24no—
1228C22⋊C4—28no—
1229C22⋊C4—28no—
1230C22⋊C4—28no—
1231C22⋊C4—28no—
1232C22⋊C4—28no—
1233C22⋊C4—28no—
1234C22⋊C4—28no—
1235C22⋊C4—28no—
1236C22⋊C4—28no—
1237C22⋊C4—28no—
1238C22⋊C4—24no—
1239C22⋊C4—28no—
1240C22⋊C4—24no—
1241C22⋊C4—42no—
1242C22⋊C4—44no—
1243C22⋊C4—42no—
1244C22⋊C4—41no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—44no—
1252C22⋊C4—42no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—41no—
1256C22⋊C4—42no—
1257C22⋊C4—41no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—42no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—42no—
1280C22⋊C4C2×#41116yes—
1281C42—28no—
1282C42—24no—
1283C42—24no—
1284C42—28no—
1285C42—24no—
1286C42—28no—
1287C42—24no—
1288C42—28no—
1289C42—24no—
1290C42—24no—
1291C42—22no—
1292C42—42no—
1293C42—44no—
1294C42—44no—
1295C42—42no—
1296C42—44no—
1297C42—44no—
1298C42—44no—
1299C42—44no—
1300C42—44no—
1301C42—44no—
1302C42—42no—
1303C42—42no—
1304C42—42no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—21no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—21no—
1315C23—24no—
1316C23—24no—
1317C23—24no—
1318C23—22no—
1319C23—21no—
1320C23—22no—
1321C23—24no—
1322C23—24no—
1323C23—22no—
1324C23—21no—
1325C23—24no—
1326C23—22no—
1327C23—24no—
1328C23—24no—
1329C23—21no—
1330C23—24no—
1331C23—22no—
1332C23—44no—
1333C23—48no—
1334C23—48no—
1335C23—44no—
1336C23—44no—
1337C23C22×#4114yes—
1338C23#58512yes—
1339C23C2611yescharacteristic
1340Q8—216no—
1341Q8—48no—
1342Q8—44no—
1343Q8—88no—
1344D4—416no—
1345D4—416no—
1346D4—416no—
1347D4—44no—
1348D4—48no—
1349D4—88no—
1350D4—84no—
1351D4—88no—
1352D4—84no—
1353D4—82no—
1354D4—84no—
1355D4—88no—
1356D4—162no—
1357D4—162no—
1358D4—164no—
1359C2×C4—22no—
1360C2×C4—24no—
1361C2×C4—24no—
1362C2×C4—22no—
1363C2×C4—24no—
1364C2×C4—24no—
1365C2×C4—24no—
1366C2×C4—216no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—24no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—21no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—22no—
1385C2×C4—24no—
1386C2×C4—21no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—21no—
1390C2×C4—24no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—24no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—24no—
1406C2×C4—24no—
1407C2×C4—24no—
1408C2×C4—24no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—44no—
1421C2×C4—48no—
1422C2×C4—416no—
1423C2×C4—48no—
1424C2×C4—44no—
1425C2×C4—44no—
1426C2×C4—88no—
1427C2×C4—88no—
1428C2×C4—84no—
1429C2×C4—88no—
1430C2×C4—84no—
1431C2×C4—84no—
1432C2×C4—88no—
1433C2×C4—164no—
1434C2×C4C22×#4118yes—
1435C2×C4C22×#4118yes—
1436C2×C4C22×#4114yes—
1437C2×C4C22×#4114yes—
1438C2×C4C2×H(5,𝔽2)14yes—
1439C2×C4C2×H(5,𝔽2)12yes—
1440C22—24no—
1441C22—24no—
1442C22—24no—
1443C22—22no—
1444C22—24no—
1445C22—416no—
1446C22—42no—
1447C22—42no—
1448C22—41no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—41no—
1453C22—44no—
1454C22—44no—
1455C22—42no—
1456C22—44no—
1457C22—44no—
1458C22—42no—
1459C22—41no—
1460C22—44no—
1461C22—44no—
1462C22—44no—
1463C22—42no—
1464C22—42no—
1465C22—41no—
1466C22—44no—
1467C22—41no—
1468C22—44no—
1469C22—42no—
1470C22C23×#4112yes—
1471C22C22×H(5,𝔽2)11yescharacteristic
1472C22C2×#58511yescharacteristic
1473C22H(7,𝔽2)12yes—
1474C222−1+611yescharacteristic
1475C4—28no—
1476C4—24no—
1477C4—24no—
1478C4—28no—
1479C4—42no—
1480C4—42no—
1481C4—44no—
1482C4—42no—
1483C4—44no—
1484C4—42no—
1485C4—41no—
1486C4—42no—
1487C4—42no—
1488C4—42no—
1489C4—42no—
1490C4—42no—
1491C4—44no—
1492C4—42no—
1493C4—42no—
1494C4—41no—
1495C4—42no—
1496C4—41no—
1497C4—41no—
1498C4#348114yes—
1499C2—42no—
1500C2—44no—
1501C2—82no—
1502C2—84no—
1503C2—81no—
1504C2C2×#348111yescharacteristic
1505C2#6285112yes—
1506C2#6291911yescharacteristic
1507C2#6300812yes—
1508C2#6304511yescharacteristic
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. #60033C2semidirect
2. #59700C2semidirect
3. #59581C2semidirect
4. #59001C2semidirect
5. #52294C2semidirect
6. #52178C2semidirect
7. #45420C2semidirect
8. #45415C2semidirect
9. #45247C2semidirect
10. #45047C2semidirect
11. #44814C2semidirect
12. #44306C2semidirect
13. #44303C2semidirect
14. #43407C2semidirect
15. #40414C2semidirect
16. #40159C2semidirect
17. #39069C2semidirect
18. #38593C2semidirect
19. #38216C2semidirect
20. #37669C2semidirect
21. #36581C2semidirect
22. #36490C2semidirect
23. #35985C2semidirect
24. #35941C2semidirect
25. #35800C2semidirect
26. #35704C2semidirect
27. #34312C2semidirect
28. #34285C2semidirect
29. #34200C2semidirect
31. C2×#550C22semidirect
36. C2×#519C22semidirect
38. #2866C22semidirect
39. #2860C22semidirect
42. #2804C22semidirect
43. #2800C22semidirect
44. #2792C22semidirect
48. #2758C22semidirect
50. #2755C22semidirect
54. #2753C22semidirect
56. #2742C22semidirect
58. #2741C22semidirect
59. #2741C22semidirect
67. #2718C22semidirect
71. #2710C22semidirect
73. #2702C22semidirect
75. #2692C22semidirect
82. #2661C22semidirect
84. #2641C22semidirect
85. #2637C22semidirect
88. #2624C22semidirect
90. #2604C22semidirect
95. #2597C22semidirect
96. #2595C22semidirect
97. #2593C22semidirect
99. #2591C22semidirect
100. #2589C22semidirect
102. #2584C22semidirect
103. #2581C22semidirect
107. #2578C22semidirect
108. #2575C22semidirect
110. #2559C22semidirect
113. #2553C22semidirect
114. #2548C22semidirect
118. #2532C22semidirect
123. #2518C22semidirect
124. #2518C22semidirect
125. #2517C22semidirect
126. #2515C22semidirect
127. #2513C22semidirect
128. #2511C22semidirect
129. #2509C22semidirect
130. #2508C22semidirect
131. #2508C22semidirect
133. #2500C22semidirect
134. #2495C22semidirect
136. #2491C22semidirect
140. #2476C22semidirect
141. #2476C22semidirect
142. #2470C22semidirect
143. #2470C22semidirect
144. #2469C22semidirect
148. #2467C22semidirect
159. #2453C22semidirect
160. #2451C22semidirect
161. #2448C22semidirect
162. #2448C22semidirect
163. #2445C22semidirect
164. #2445C22semidirect
168. #2436C22semidirect
171. #2430C22semidirect
174. #2428C22semidirect
176. #2427C22semidirect
183. #2406C22semidirect
193. #2369C22semidirect
194. #2368C22semidirect
196. #2367C22semidirect
197. #2367C22semidirect
198. #2367C22semidirect
200. #2365C22semidirect
204. #2363C22semidirect
206. #2362C22semidirect
216. #2360C22semidirect
218. #2357C22semidirect
222. #2352C22semidirect
223. #2351C22semidirect
226. #2346C22semidirect
229. Q8×C22⋊C4C22semidirect
231. #2334C22semidirect
233. #2324C22semidirect
235. #2323C22semidirect
238. #2320C22semidirect
242. C4×#126C22semidirect
246. C4×#124C22semidirect
253. #2293C22semidirect
254. #2293C22semidirect
256. #2275C22semidirect
258. C42×Q8C22semidirect
789. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600332
#597002
#595812
#590012
#522942
#521782
#454202
#454152
#452472
#450472
#448142
#443062
#443032
#434072
#404142
#401592
#390692
#385932
#382162
#376692
#365812
#364902
#359852
#359412
#358002
#357042
#343122
#342852
#342002