Finite Group Databasebeta

← #7657823

Subgroups — #7657823

Order 512.

5491 conjugacy classes of subgroups.

The subgroup lattice has 1411 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42715C213yesmaximal, complemented
2#42712C213yesmaximal, complemented
3#42709C213yesmaximal, complemented
4#42706C213yesmaximal, complemented
5#42634C213yesmaximal, complemented
6#42627C213yesmaximal, complemented
7#42586C213yesmaximal, complemented
8#42563C213yesmaximal, complemented
9#40031C213yesmaximal, complemented
10#40009C213yesmaximal, complemented
11#39932C213yesmaximal, complemented
12#39911C213yesmaximal, complemented
13#37500C213yesmaximal, complemented
14#37499C213yesmaximal, complemented
15#36444C211yesmaximal, characteristic, complemented
16#36431C211yesmaximal, characteristic, complemented
17#36428C211yesmaximal, characteristic, complemented
18#36428C211yesmaximal, characteristic, complemented
19#35920C211yesmaximal, characteristic, complemented
20#35910C211yesmaximal, characteristic, complemented
21#35898C211yesmaximal, characteristic, complemented
22#35854C211yesmaximal, characteristic, complemented
23#35801C211yesmaximal, characteristic, complemented
24#35771C211yesmaximal, characteristic, complemented
25#35723C211yesmaximal, characteristic, complemented
26#35700C211yesmaximal, characteristic, complemented
27#35086C213yesmaximal, complemented
28#34570C213yesmaximal, complemented
29#34293C211yesmaximal, characteristic, complemented
30#34293C211yesmaximal, characteristic, complemented
31C22⋊C4×#41C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C2×#557C2211yescharacteristic, complemented
34C2×D4×Q8C2211yescharacteristic
35C2×D4×Q8C2211yescharacteristic
36C2×D4×Q8C2211yescharacteristic, complemented
37C2×#548C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#548C2211yescharacteristic
41C2×#519C2211yescharacteristic, complemented
42C2×#519C2211yescharacteristic, complemented
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2857C2213yescomplemented
46#2851C2213yescomplemented
47#2848C2213yes—
48#2848C2213yes—
49#2827C2216yescomplemented
50#2827C2216yescomplemented
51#2826C2216yescomplemented
52#2824C2216yescomplemented
53#2797C2216yescomplemented
54#2781C2216yescomplemented
55#2779C2216yescomplemented
56#2779C2216yescomplemented
57#2771C2216yescomplemented
58#2765C2216yescomplemented
59#2761C2216yescomplemented
60#2753C2216yescomplemented
61#2751C2216yescomplemented
62#2741C2216yescomplemented
63#2736C2216yes—
64#2735C2216yes—
65#2714C2216yescomplemented
66#2702C2216yescomplemented
67#2685C2216yes—
68#2685C2216yes—
69#2653C2213yes—
70#2653C2213yescomplemented
71#2653C2216yescomplemented
72#2652C2213yes—
73#2652C2213yescomplemented
74#2652C2216yescomplemented
75#2649C2213yes—
76#2649C2213yescomplemented
77#2649C2216yescomplemented
78#2648C2211yescharacteristic
79#2648C2213yescomplemented
80#2648C2216yescomplemented
81#2648C2216yescomplemented
82#2646C2213yescomplemented
83#2645C2213yescomplemented
84#2644C2213yescomplemented
85#2643C2213yescomplemented
86#2643C2213yescomplemented
87#2642C2213yescomplemented
88#2640C2213yescomplemented
89#2639C2213yescomplemented
90#2626C2213yes—
91#2625C2213yescomplemented
92#2624C2213yescomplemented
93#2622C2213yes—
94#2622C2213yes—
95#2621C2213yescomplemented
96#2620C2213yescomplemented
97#2617C2213yes—
98#2597C2216yescomplemented
99#2595C2216yescomplemented
100#2592C2213yescomplemented
101#2589C2216yescomplemented
102#2587C2216yescomplemented
103#2580C2213yescomplemented
104#2568C2213yescomplemented
105#2566C2213yescomplemented
106#2563C2213yescomplemented
107#2562C2213yes—
108#2547C2213yescomplemented
109#2546C2213yescomplemented
110#2545C2213yescomplemented
111#2538C2213yescomplemented
112#2537C2213yescomplemented
113#2536C2213yes—
114#2513C2213yescomplemented
115#2512C2213yescomplemented
116#2512C2213yescomplemented
117#2511C2213yescomplemented
118#2511C2213yescomplemented
119#2511C2213yescomplemented
120#2505C2216yescomplemented
121#2505C2216yescomplemented
122#2500C2213yescomplemented
123#2499C2213yescomplemented
124#2497C2213yescomplemented
125#2496C2213yes—
126#2496C2213yes—
127#2496C2213yes—
128#2496C2213yescomplemented
129#2494C2213yescomplemented
130#2492C2213yes—
131#2492C2213yescomplemented
132#2490C2213yescomplemented
133#2490C2213yescomplemented
134#2489C2213yes—
135#2489C2213yescomplemented
136#2489C2213yescomplemented
137#2489C2213yescomplemented
138#2485C2213yes—
139#2485C2213yescomplemented
140#2480C2216yes—
141#2480C2216yes—
142#2454C2213yescomplemented
143#2452C2213yescomplemented
144#2448C2213yescomplemented
145#2448C2213yescomplemented
146#2446C2213yescomplemented
147#2446C2213yescomplemented
148#2441C2213yescomplemented
149#2439C2213yescomplemented
150#2435C2213yes—
151#2435C2213yes—
152#2432C2213yes—
153#2432C2213yes—
154#2432C2213yes—
155#2432C2213yes—
156#2429C2213yes—
157#2429C2213yescomplemented
158#2429C2213yescomplemented
159#2427C2213yescomplemented
160#2427C2213yescomplemented
161#2426C2213yescomplemented
162#2423C2213yes—
163#2423C2213yescomplemented
164#2421C2213yes—
165#2421C2213yescomplemented
166#2415C2213yes—
167#2415C2213yescomplemented
168#2415C2213yescomplemented
169#2415C2213yescomplemented
170#2415C2213yescomplemented
171#2414C2213yescomplemented
172#2408C2213yes—
173#2408C2213yes—
174#2407C2213yes—
175#2407C2213yes—
176#2407C2213yes—
177#2407C2213yes—
178#2401C2213yes—
179#2401C2213yescomplemented
180#2398C2213yes—
181#2398C2213yescomplemented
182#2395C2213yes—
183#2395C2213yescomplemented
184#2392C2213yes—
185#2392C2213yescomplemented
186#2367C2213yescomplemented
187#2367C2213yescomplemented
188#2363C2213yescomplemented
189#2363C2213yescomplemented
190#2362C2213yescomplemented
191#2362C2213yescomplemented
192#2354C2213yescomplemented
193#2354C2213yescomplemented
194#2351C2211yescharacteristic, complemented
195#2351C2211yescharacteristic, complemented
196Q8×C4⋊C4C2211yescharacteristic, complemented
197Q8×C4⋊C4C2211yescharacteristic, complemented
198Q8×C4⋊C4C2211yescharacteristic, complemented
199Q8×C4⋊C4C2211yescharacteristic, complemented
200#2341C2211yescharacteristic
201#2341C2211yescharacteristic
202#2341C2211yescharacteristic
203#2341C2211yescharacteristic
204#2341C2211yescharacteristic
205#2341C2211yescharacteristic
206Q8×C22⋊C4C2211yescharacteristic
207Q8×C22⋊C4C2211yescharacteristic
208Q8×C22⋊C4C2211yescharacteristic
209Q8×C22⋊C4C2211yescharacteristic
210Q8×C22⋊C4C2211yescharacteristic, complemented
211Q8×C22⋊C4C2211yescharacteristic, complemented
212Q8×C22⋊C4C2211yescharacteristic, complemented
213Q8×C22⋊C4C2211yescharacteristic, complemented
214#2339C2213yes—
215#2339C2213yes—
216D4×C22⋊C4C2213yes—
217D4×C22⋊C4C2213yes—
218#2334C2216yes—
219#2334C2216yescomplemented
220#2326C2213yescomplemented
221#2326C2213yescomplemented
222#2324C2213yescomplemented
223#2324C2213yescomplemented
224C4×C22⋊Q8C2213yescomplemented
225C4×C22⋊Q8C2213yescomplemented
226C4×C22⋊Q8C2213yescomplemented
227C4×#121C2213yescomplemented
228C4×#120C2213yes—
229C4×#120C2213yes—
230#2297C2213yes—
231#2297C2213yes—
232#2290C2213yescomplemented
233#2290C2213yescomplemented
234#2280C2213yes—
235#2276C2211yescharacteristic, complemented
236#2276C2211yescharacteristic, complemented
237C2×C4×C22⋊C4C2213yes—
238C22×#41—28no—
239C22×#41—44no—
240C22×#41—44no—
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C22×#41C2313yes—
244C22×#41C2313yes—
245C23×Q8C2311yescharacteristic
246C23×Q8C2311yescharacteristic
247C23×Q8C2311yescharacteristic
248C23×D4C2313yes—
249C24×C4C2313yes—
250#557—44no—
251D4×Q8—44no—
252D4×Q8—44no—
253D4×Q8—44no—
254#548—28no—
255#548—28no—
256#548—44no—
257#548—44no—
258C2×C4⋊Q8C2313yes—
259C2×C4⋊Q8C2313yes—
260C2×C4⋊Q8C2313yes—
261C2×C4⋊Q8C2313yes—
262C2×#126C2316yes—
263C2×#126C2316yes—
264C2×#125C2313yes—
265C2×#125C2313yes—
266C2×#124C2313yes—
267C2×#124C2313yes—
268C2×#124C2313yes—
269C2×#124C2313yes—
270C2×C22⋊Q8C2313yes—
271C2×C22⋊Q8C2313yes—
272C2×C22⋊Q8C2313yes—
273C2×C22⋊Q8C2313yes—
274C2×C22⋊Q8C2313yes—
275C2×C22⋊Q8C2313yes—
276C2×C22⋊Q8C2313yes—
277C2×C22⋊Q8C2313yes—
278C2×C22⋊Q8C2313yes—
279C2×C22⋊Q8C2313yes—
280C2×C22⋊Q8C2313yes—
281C2×#121C2313yes—
282C2×#121C2313yes—
283C2×#121C2313yes—
284C2×#121C2313yes—
285C2×#121C2313yes—
286C2×#120C2313yes—
287C2×#120C2313yes—
288#519—44no—
289#519—44no—
290C4×#41—44no—
291C4×#41—44no—
292C2×C4×Q8C2311yescharacteristic
293C2×C4×Q8C2311yescharacteristic
294C2×C4×Q8C2311yescharacteristic
295C2×C4×Q8C2311yescharacteristic
296C2×C4×Q8C2311yescharacteristic
297C2×C4×Q8C2311yescharacteristic
298C2×C4×Q8C2311yescharacteristic
299C2×C4×Q8C2311yescharacteristic
300C2×C4×Q8C2311yescharacteristic
301C2×C4×Q8C2311yescharacteristic
302C2×C4×Q8C2313yes—
303C2×C4×Q8C2313yes—
304C2×C4×Q8C2313yes—
305C2×C4×Q8C2313yes—
306C2×C4×Q8C2313yes—
307C2×C4×D4C2313yes—
308C2×C4×D4C2313yes—
309C2×C4×D4C2313yes—
310C2×C4×D4C2313yes—
311C2×C4×D4C2313yes—
312C2×C4×D4C2313yes—
313C2×C4×D4C2313yes—
314C2×C4×D4C2313yes—
315C2×C4×D4C2313yes—
316C2×C4×D4C2313yes—
317C2×C4×D4C2313yes—
318C2×#117C2313yes—
319C2×#117C2313yes—
320C2×#117C2313yes—
321C2×#117C2313yes—
322C2×#117C2313yes—
323C2×#117C2313yes—
324C22×C22⋊C4C2313yes—
325C22×C22⋊C4C2313yes—
326C22×C42C2313yes—
327C22×C42C2313yes—
328#401C2313yes—
329#401C2313yes—
330#400C2316yes—
331#400C2313yes—
332#400C2316yes—
333#400C2316yes—
334#400C2316yes—
335#400C2313yes—
336#400C2316yes—
337#400C2316yes—
338#400C2316yes—
339#400C2313yes—
340#400C2313yes—
341#400C2313yes—
342#400C2313yes—
343#400C2313yes—
344#400C2313yes—
345#400C2313yes—
346#400C2311yescharacteristic
347#400C2313yes—
348#400C2313yes—
349#399C2316yes—
350#399C2313yes—
351#399C2316yes—
352#399C2313yes—
353#398C2313yes—
354#398C2316yes—
355#398C2316yes—
356#398C2316yes—
357#398C2313yes—
358#398C2313yes—
359#398C2313yes—
360#397C2316yes—
361#397C2316yes—
362#397C2316yes—
363#397C2316yes—
364#397C2313yes—
365#397C2316yes—
366#397C2316yes—
367#397C2316yes—
368#397C2316yes—
369#397C2316yes—
370#397C2313yes—
371#397C2313yes—
372#397C2313yes—
373#397C2313yes—
374#397C2313yes—
375#397C2313yes—
376#397C2313yes—
377#397C2313yes—
378#397C2313yes—
379#397C2313yes—
380#397C2313yes—
381#397C2313yes—
382#397C2311yescharacteristic
383#397C2311yescharacteristic
384#397C2313yes—
385#397C2313yes—
386#397C2313yes—
387#396C2316yes—
388#396C2316yes—
389#396C2313yes—
390#396C2316yes—
391#396C2316yes—
392#396C2316yes—
393#396C2311yescharacteristic
394#396C2313yes—
395#396C2313yes—
396#396C2313yes—
397#396C2313yes—
398#394C2313yes—
399#394C2313yes—
400#394C2316yes—
401#394C2316yes—
402#394C2316yes—
403#394C2313yes—
404#394C2316yes—
405#394C2316yes—
406#394C2316yes—
407#394C2316yes—
408#394C2316yes—
409#394C2316yes—
410#394C2316yes—
411#394C2313yes—
412#394C2313yes—
413#394C2313yes—
414#394C2311yescharacteristic
415#394C2311yescharacteristic
416#394C2313yes—
417#394C2313yes—
418#394C2313yes—
419#394C2313yes—
420#394C2311yescharacteristic
421#394C2313yes—
422#393C2313yes—
423#393C2316yes—
424#393C2313yes—
425#393C2316yes—
426#393C2313yes—
427#393C2313yes—
428#392C2316yes—
429#392C2316yes—
430#392C2311yescharacteristic
431#392C2313yes—
432#391C2313yes—
433#391C2316yes—
434#391C2313yes—
435#391C2313yes—
436#391C2313yes—
437#391C2313yes—
438#391C2313yes—
439#391C2313yes—
440#391C2313yes—
441#391C2313yes—
442#391C2313yes—
443#391C2313yes—
444#391C2313yes—
445#391C2313yes—
446#391C2313yes—
447#391C2313yes—
448#391C2313yes—
449#391C2313yes—
450#390C2316yes—
451#390C2313yes—
452#390C2313yes—
453#390C2316yes—
454#390C2316yes—
455#390C2313yes—
456#390C2313yes—
457#390C2313yes—
458#390C2313yes—
459#390C2313yes—
460#390C2313yes—
461#390C2313yes—
462#390C2316yes—
463#390C2313yes—
464#390C2313yes—
465#390C2313yes—
466#390C2311yescharacteristic
467#389C2313yes—
468#389C2313yes—
469#389C2313yes—
470#389C2313yes—
471#389C2313yes—
472#389C2316yes—
473#389C2316yes—
474#389C2316yes—
475#389C2313yes—
476#389C2316yes—
477#389C2313yes—
478#389C2313yes—
479#389C2313yes—
480#389C2313yes—
481#389C2313yes—
482#389C2313yes—
483#389C2313yes—
484#389C2313yes—
485#388C2316yes—
486#388C2316yes—
487#388C2316yes—
488#388C2316yes—
489#388C2316yes—
490#388C2316yes—
491#388C2316yes—
492#388C2316yes—
493#388C2316yes—
494#388C2316yes—
495#388C2316yes—
496#388C2316yes—
497#388C2316yes—
498#388C2316yes—
499#388C2316yes—
500#388C2316yes—
501#388C2316yes—
502#388C2313yes—
503#388C2313yes—
504#388C2316yes—
505#388C2313yes—
506#388C2313yes—
507#388C2316yes—
508#388C2316yes—
509#388C2311yescharacteristic
510#388C2311yescharacteristic
511#387C2313yes—
512#387C2316yes—
513#387C2313yes—
514#387C2316yes—
515#387C2316yes—
516#387C2316yes—
517#387C2316yes—
518#387C2313yes—
519#387C2316yes—
520#387C2316yes—
521#387C2316yes—
522#387C2316yes—
523#387C2311yescharacteristic
524#387C2313yes—
525#387C2313yes—
526#386C2313yes—
527#386C2316yes—
528#386C2313yes—
529#386C2316yes—
530#386C2313yes—
531#386C2313yes—
532#386C2316yes—
533#386C2316yes—
534#386C2313yes—
535#386C2313yes—
536#386C2313yes—
537#386C2313yes—
538#386C2313yes—
539#386C2313yes—
540#386C2311yescharacteristic
541#386C2311yescharacteristic
542#385C2313yes—
543#385C2316yes—
544#385C2316yes—
545#385C2316yes—
546#385C2313yes—
547#385C2313yes—
548#385C2313yes—
549#385C2313yes—
550#385C2313yes—
551#385C2313yes—
552#385C2316yes—
553#385C2313yes—
554#385C2316yes—
555#385C2313yes—
556#385C2313yes—
557#385C2316yes—
558#385C2316yes—
559#385C2316yes—
560#385C2313yes—
561#385C2313yes—
562#384C2313yes—
563#384C2313yes—
564#384C2313yes—
565#384C2313yes—
566#382C2316yes—
567#382C2313yes—
568#382C2316yes—
569#382C2313yes—
570#381C2316yes—
571#380C2313yes—
572#380C2313yes—
573#380C2313yes—
574#380C2313yes—
575#380C2313yes—
576#380C2313yes—
577#380C2313yes—
578#380C2313yes—
579#380C2313yes—
580#380C2313yes—
581#380C2313yes—
582#380C2313yes—
583#380C2313yes—
584#380C2313yes—
585#380C2316yes—
586#380C2316yes—
587#380C2313yes—
588#380C2313yes—
589#379C2316yes—
590#379C2316yes—
591#379C2316yes—
592#379C2313yes—
593#379C2313yes—
594C4×C4⋊C4C2313yes—
595C4×C4⋊C4C2313yes—
596C4×C4⋊C4C2313yes—
597C4×C4⋊C4C2313yes—
598C4×C4⋊C4C2313yes—
599C4×C4⋊C4C2316yes—
600C4×C4⋊C4C2316yes—
601C4×C4⋊C4C2313yes—
602C4×C4⋊C4C2313yes—
603C4×C4⋊C4C2313yes—
604C4×C4⋊C4C2313yes—
605C4×C4⋊C4C2313yes—
606C4×C4⋊C4C2313yes—
607C4×C4⋊C4C2313yes—
608C4×C22⋊C4C2316yes—
609C4×C22⋊C4C2313yes—
610C4×C22⋊C4C2313yes—
611C4×C22⋊C4C2313yes—
612C4×C22⋊C4C2313yes—
613C4×C22⋊C4C2313yes—
614C4×C22⋊C4C2313yes—
615C4×C22⋊C4C2313yes—
616C4×C22⋊C4C2313yes—
617C4×C22⋊C4C2313yes—
618C4×C22⋊C4C2313yes—
619C4×C22⋊C4C2313yes—
620C4×C22⋊C4C2313yes—
621C4×C22⋊C4C2313yes—
622C4×C22⋊C4C2313yes—
623C4×C22⋊C4C2313yes—
624C4×C22⋊C4C2313yes—
625C4×C22⋊C4C2316yes—
626C4×C22⋊C4C2316yes—
627C4×C22⋊C4C2311yescharacteristic
628C4×C22⋊C4C2313yes—
629#376C2313yes—
630#376C2313yes—
631C2×#95C2313yes—
632C2×#95C2313yes—
633C25C2413yes—
634C2×#41—24no—
635C2×#41—24no—
636C2×#41—24no—
637C2×#41—24no—
638C2×#41—24no—
639C2×#41—212no—
640C2×#41—212no—
641C2×#41—46no—
642C2×#41—46no—
643C2×#41—46no—
644C2×#41—46no—
645C2×#41—464no—
646C2×#41#4118yes—
647C22×Q8—24no—
648C22×Q8—24no—
649C22×Q8—24no—
650C22×Q8—24no—
651C22×Q8—24no—
652C22×Q8—24no—
653C22×Q8—24no—
654C22×Q8—24no—
655C22×Q8—24no—
656C22×Q8C2413yes—
657C22×Q8C2413yes—
658C22×Q8C2413yes—
659C22×Q8C2413yes—
660C22×Q8C2411yescharacteristic
661C22×D4—212no—
662C22×D4—46no—
663C22×D4—46no—
664C22×D4C2413yes—
665C22×D4C2413yes—
666C22×D4C2411yescharacteristic
667C22×D4C2411yescharacteristic
668C22×D4C2411yescharacteristic
669C22×D4C2413yes—
670C22×D4C2413yes—
671C22×D4C2416yes—
672C22×D4C2413yes—
673C22×D4C2413yes—
674C23×C4—212no—
675C23×C4—46no—
676C23×C4—46no—
677C23×C4C2413yes—
678C23×C4C2413yes—
679C23×C4C2413yes—
680C23×C4C2413yes—
681C23×C4C2413yes—
682C23×C4C2413yes—
683C23×C4C2411yescharacteristic
684C23×C4C2413yes—
685C23×C4C2413yes—
686C23×C4C2413yes—
687C23×C4C2413yes—
688C23×C4C2413yes—
689C4⋊Q8—46no—
690C4⋊Q8—46no—
691C4⋊Q8—46no—
692C4⋊Q8—46no—
693#126—412no—
694#126—412no—
695#125—46no—
696#125—46no—
697#124—212no—
698#124—212no—
699#124—46no—
700#124—46no—
701C22⋊Q8—212no—
702C22⋊Q8—212no—
703C22⋊Q8—46no—
704C22⋊Q8—46no—
705C22⋊Q8—46no—
706C22⋊Q8—46no—
707C22⋊Q8—46no—
708C22⋊Q8—46no—
709C22⋊Q8—46no—
710C22⋊Q8—46no—
711C22⋊Q8—46no—
712#121—212no—
713#121—212no—
714#121—46no—
715#121—46no—
716#121—46no—
717#120—46no—
718#120—46no—
719C4×Q8—24no—
720C4×Q8—24no—
721C4×Q8—24no—
722C4×Q8—24no—
723C4×Q8—24no—
724C4×Q8—24no—
725C4×Q8—24no—
726C4×Q8—24no—
727C4×Q8—24no—
728C4×Q8—24no—
729C4×Q8—46no—
730C4×Q8—46no—
731C4×Q8—46no—
732C4×Q8—46no—
733C4×Q8—46no—
734C4×D4—212no—
735C4×D4—212no—
736C4×D4—46no—
737C4×D4—46no—
738C4×D4—46no—
739C4×D4—46no—
740C4×D4—46no—
741C4×D4—46no—
742C4×D4—46no—
743C4×D4—46no—
744C4×D4—46no—
745#117—46no—
746#117—46no—
747#117—46no—
748#117—46no—
749#117—46no—
750#117—46no—
751C2×C4⋊C4C2413yes—
752C2×C4⋊C4C2413yes—
753C2×C4⋊C4C2413yes—
754C2×C4⋊C4C2413yes—
755C2×C4⋊C4C2413yes—
756C2×C4⋊C4C2413yes—
757C2×C4⋊C4C2413yes—
758C2×C4⋊C4C2413yes—
759C2×C4⋊C4C2413yes—
760C2×C4⋊C4C2413yes—
761C2×C4⋊C4C2413yes—
762C2×C4⋊C4C2413yes—
763C2×C4⋊C4C2413yes—
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2413yes—
766C2×C4⋊C4C2413yes—
767C2×C4⋊C4C2413yes—
768C2×C4⋊C4C2413yes—
769C2×C4⋊C4C2413yes—
770C2×C4⋊C4C2413yes—
771C2×C4⋊C4C2413yes—
772C2×C4⋊C4C2413yes—
773C2×C4⋊C4C2413yes—
774C2×C4⋊C4C2413yes—
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2413yes—
777C2×C4⋊C4C2413yes—
778C2×C4⋊C4C2416yes—
779C2×C4⋊C4C2416yes—
780C2×C4⋊C4C2416yes—
781C2×C4⋊C4C2413yes—
782C2×C4⋊C4C2416yes—
783C2×C4⋊C4C2416yes—
784C2×C4⋊C4C2416yes—
785C2×C4⋊C4C2416yes—
786C2×C4⋊C4C2416yes—
787C2×C4⋊C4C2411yescharacteristic
788C2×C4⋊C4C2411yescharacteristic
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2413yes—
791C2×C4⋊C4C2413yes—
792C2×C4⋊C4C2413yes—
793C2×C4⋊C4C2413yes—
794C2×C4⋊C4C2413yes—
795C2×C22⋊C4—46no—
796C2×C22⋊C4—46no—
797C2×C22⋊C4C2411yescharacteristic
798C2×C22⋊C4C2411yescharacteristic
799C2×C22⋊C4C2413yes—
800C2×C22⋊C4C2413yes—
801C2×C22⋊C4C2411yescharacteristic
802C2×C22⋊C4C2411yescharacteristic
803C2×C22⋊C4C2413yes—
804C2×C22⋊C4C2413yes—
805C2×C22⋊C4C2413yes—
806C2×C22⋊C4C2413yes—
807C2×C22⋊C4C2416yes—
808C2×C22⋊C4C2416yes—
809C2×C22⋊C4C2413yes—
810C2×C22⋊C4C2413yes—
811C2×C22⋊C4C2413yes—
812C2×C22⋊C4C2413yes—
813C2×C22⋊C4C2411yescharacteristic
814C2×C22⋊C4C2411yescharacteristic
815C2×C22⋊C4C2413yes—
816C2×C22⋊C4C2413yes—
817C2×C22⋊C4C2416yes—
818C2×C22⋊C4C2416yes—
819C2×C22⋊C4C2411yescharacteristic
820C2×C22⋊C4C2411yescharacteristic
821C2×C22⋊C4C2413yes—
822C2×C22⋊C4C2413yes—
823C2×C22⋊C4C2413yes—
824C2×C22⋊C4C2413yes—
825C2×C22⋊C4C2413yes—
826C2×C22⋊C4C2413yes—
827C2×C22⋊C4C2413yes—
828C2×C22⋊C4C2413yes—
829C2×C22⋊C4C2413yes—
830C2×C22⋊C4C2413yes—
831C2×C22⋊C4C2413yes—
832C2×C22⋊C4C2413yes—
833C2×C22⋊C4C2416yes—
834C2×C22⋊C4C2416yes—
835C2×C22⋊C4C2413yes—
836C2×C22⋊C4C2413yes—
837C2×C22⋊C4C2413yes—
838C2×C22⋊C4C2413yes—
839C2×C22⋊C4C2416yes—
840C2×C22⋊C4C2416yes—
841C2×C22⋊C4C2411yescharacteristic
842C2×C22⋊C4C2411yescharacteristic
843C2×C22⋊C4C2411yescharacteristic
844C2×C22⋊C4C2411yescharacteristic
845C2×C22⋊C4C2411yescharacteristic
846C2×C22⋊C4C2411yescharacteristic
847C2×C22⋊C4C2416yes—
848C2×C22⋊C4C2416yes—
849C2×C22⋊C4C2416yes—
850C2×C22⋊C4C2416yes—
851C2×C22⋊C4C2413yes—
852C2×C22⋊C4C2413yes—
853C2×C22⋊C4C2413yes—
854C2×C22⋊C4C2413yes—
855C2×C42—46no—
856C2×C42—46no—
857C2×C42C2413yes—
858C2×C42C2413yes—
859C2×C42C2413yes—
860C2×C42C2413yes—
861C2×C42C2413yes—
862C2×C42C2413yes—
863C2×C42C2413yes—
864C2×C42C2413yes—
865C2×C42C2413yes—
866C2×C42C2413yes—
867C2×C42C2413yes—
868C2×C42C2413yes—
869C2×C42C2416yes—
870C2×C42C2416yes—
871C2×C42C2416yes—
872C2×C42C2416yes—
873C2×C42C2411yescharacteristic
874C2×C42C2411yescharacteristic
875#95C2411yescharacteristic
876#95C2411yescharacteristic
877#95C2413yes—
878#95C2413yes—
879#95C2413yes—
880#95C2413yes—
881#95C2413yes—
882#95C2413yes—
883#95C2411yescharacteristic
884#95C2411yescharacteristic
885#95C2413yes—
886#95C2413yes—
887#95C2413yes—
888#95C2413yes—
889#95C2413yes—
890#95C2413yes—
891#95C2411yescharacteristic
892#95C2411yescharacteristic
893#95C2411yescharacteristic
894#95C2411yescharacteristic
895#95C2413yes—
896#95C2413yes—
897#95C2413yes—
898#95C2413yes—
899#95C2413yes—
900#95C2413yes—
901#95C2413yes—
902#95C2413yes—
903#95C2413yes—
904#95C2413yes—
905#95C2416yes—
906#95C2416yes—
907#95C2413yes—
908#95C2413yes—
909#95C2413yes—
910#95C2413yes—
911#95C2413yes—
912#95C2413yes—
913#95C2413yes—
914#95C2413yes—
915#95C2411yescharacteristic
916#95C2411yescharacteristic
917#95C2416yes—
918#95C2416yes—
919#95C2413yes—
920#95C2413yes—
921#95C2413yes—
922#95C2413yes—
923#95C2413yes—
924#95C2413yes—
925#95C2413yes—
926#95C2413yes—
927#95C2416yes—
928#95C2416yes—
929#95C2416yes—
930#95C2416yes—
931#95C2416yes—
932#95C2416yes—
933C24—26no—
934C24—26no—
935C24—43no—
936C24—43no—
937C24—43no—
938C24—43no—
939C24—43no—
940C24C2513yes—
941C24C2511yescharacteristic
942C24C2511yescharacteristic
943C24C2513yes—
944C24C2511yescharacteristic
945#41—232no—
946#41—448no—
947#41—448no—
948#41—416no—
949C2×Q8—26no—
950C2×Q8—26no—
951C2×Q8—26no—
952C2×Q8—26no—
953C2×Q8—26no—
954C2×Q8—26no—
955C2×Q8—26no—
956C2×Q8—26no—
957C2×Q8—26no—
958C2×Q8—43no—
959C2×Q8—43no—
960C2×Q8—43no—
961C2×Q8—416no—
962C2×Q8—416no—
963C2×Q8—416no—
964C2×Q8C2×#4114yes—
965C2×Q8H(5,𝔽2)14yes—
966C2×Q8H(5,𝔽2)14yes—
967C2×D4—212no—
968C2×D4—22no—
969C2×D4—22no—
970C2×D4—26no—
971C2×D4—26no—
972C2×D4—26no—
973C2×D4—26no—
974C2×D4—26no—
975C2×D4—26no—
976C2×D4—26no—
977C2×D4—22no—
978C2×D4—41no—
979C2×D4—41no—
980C2×D4—41no—
981C2×D4—46no—
982C2×D4—46no—
983C2×D4—41no—
984C2×D4—41no—
985C2×D4—41no—
986C2×D4—43no—
987C2×D4—43no—
988C2×D4—43no—
989C2×D4—43no—
990C2×D4—43no—
991C2×D4—43no—
992C2×D4—43no—
993C2×D4—43no—
994C2×D4—43no—
995C2×D4—43no—
996C2×D4—448no—
997C2×D4C2×#41112yes—
998C22×C4—26no—
999C22×C4—26no—
1000C22×C4—26no—
1001C22×C4—26no—
1002C22×C4—26no—
1003C22×C4—22no—
1004C22×C4—26no—
1005C22×C4—26no—
1006C22×C4—26no—
1007C22×C4—26no—
1008C22×C4—26no—
1009C22×C4—26no—
1010C22×C4—26no—
1011C22×C4—26no—
1012C22×C4—26no—
1013C22×C4—26no—
1014C22×C4—26no—
1015C22×C4—26no—
1016C22×C4—41no—
1017C22×C4—41no—
1018C22×C4—43no—
1019C22×C4—43no—
1020C22×C4—43no—
1021C22×C4—43no—
1022C22×C4—43no—
1023C22×C4—43no—
1024C22×C4—43no—
1025C22×C4—43no—
1026C22×C4—43no—
1027C22×C4—43no—
1028C22×C4—43no—
1029C22×C4—43no—
1030C22×C4—43no—
1031C22×C4—43no—
1032C22×C4—43no—
1033C22×C4—448no—
1034C22×C4C2×#41112yes—
1035C22×C4C2511yescharacteristic
1036C22×C4C2513yes—
1037C22×C4C2511yescharacteristic
1038C22×C4C2511yescharacteristic
1039C22×C4C2511yescharacteristic
1040C22×C4C2511yescharacteristic
1041C22×C4C2511yescharacteristic
1042C22×C4C2511yescharacteristic
1043C22×C4C2513yes—
1044C22×C4C2513yes—
1045C22×C4C2513yes—
1046C22×C4C2513yes—
1047C22×C4C2513yes—
1048C22×C4C2513yes—
1049C22×C4C2511yescharacteristic
1050C22×C4C2511yescharacteristic
1051C22×C4C2513yes—
1052C22×C4C2513yes—
1053C22×C4C2513yes—
1054C22×C4C2511yescharacteristic
1055C22×C4C2513yes—
1056C22×C4C2513yes—
1057C22×C4C2513yes—
1058C22×C4C2511yescharacteristic
1059C22×C4C2511yescharacteristic
1060C22×C4C2513yes—
1061C4⋊C4—26no—
1062C4⋊C4—26no—
1063C4⋊C4—26no—
1064C4⋊C4—26no—
1065C4⋊C4—26no—
1066C4⋊C4—26no—
1067C4⋊C4—26no—
1068C4⋊C4—26no—
1069C4⋊C4—26no—
1070C4⋊C4—26no—
1071C4⋊C4—26no—
1072C4⋊C4—26no—
1073C4⋊C4—26no—
1074C4⋊C4—22no—
1075C4⋊C4—26no—
1076C4⋊C4—41no—
1077C4⋊C4—41no—
1078C4⋊C4—43no—
1079C4⋊C4—43no—
1080C4⋊C4—41no—
1081C4⋊C4—43no—
1082C4⋊C4—43no—
1083C4⋊C4—43no—
1084C4⋊C4—43no—
1085C4⋊C4—43no—
1086C4⋊C4—43no—
1087C4⋊C4—43no—
1088C4⋊C4—43no—
1089C4⋊C4—43no—
1090C4⋊C4—43no—
1091C4⋊C4—43no—
1092C4⋊C4—43no—
1093C4⋊C4—41no—
1094C4⋊C4—43no—
1095C4⋊C4—43no—
1096C4⋊C4—43no—
1097C4⋊C4—46no—
1098C4⋊C4—46no—
1099C4⋊C4—46no—
1100C4⋊C4—46no—
1101C4⋊C4—46no—
1102C4⋊C4—46no—
1103C4⋊C4—46no—
1104C4⋊C4—46no—
1105C22⋊C4—26no—
1106C22⋊C4—26no—
1107C22⋊C4—212no—
1108C22⋊C4—212no—
1109C22⋊C4—22no—
1110C22⋊C4—26no—
1111C22⋊C4—26no—
1112C22⋊C4—26no—
1113C22⋊C4—22no—
1114C22⋊C4—22no—
1115C22⋊C4—22no—
1116C22⋊C4—26no—
1117C22⋊C4—43no—
1118C22⋊C4—43no—
1119C22⋊C4—43no—
1120C22⋊C4—43no—
1121C22⋊C4—43no—
1122C22⋊C4—41no—
1123C22⋊C4—43no—
1124C22⋊C4—43no—
1125C22⋊C4—46no—
1126C22⋊C4—46no—
1127C22⋊C4—43no—
1128C22⋊C4—46no—
1129C22⋊C4—46no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—43no—
1138C22⋊C4—43no—
1139C22⋊C4—46no—
1140C22⋊C4—46no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—43no—
1144C22⋊C4—43no—
1145C22⋊C4—43no—
1146C22⋊C4—43no—
1147C22⋊C4—43no—
1148C22⋊C4—43no—
1149C22⋊C4—43no—
1150C22⋊C4—43no—
1151C22⋊C4—43no—
1152C22⋊C4—43no—
1153C22⋊C4—43no—
1154C22⋊C4—43no—
1155C22⋊C4—43no—
1156C22⋊C4—43no—
1157C22⋊C4—46no—
1158C22⋊C4—46no—
1159C22⋊C4—43no—
1160C22⋊C4—43no—
1161C22⋊C4—46no—
1162C22⋊C4—46no—
1163C42—26no—
1164C42—26no—
1165C42—26no—
1166C42—26no—
1167C42—26no—
1168C42—26no—
1169C42—26no—
1170C42—26no—
1171C42—26no—
1172C42—26no—
1173C42—41no—
1174C42—41no—
1175C42—43no—
1176C42—43no—
1177C42—46no—
1178C42—46no—
1179C42—46no—
1180C42—46no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—23no—
1185C23—23no—
1186C23—21no—
1187C23—23no—
1188C23—23no—
1189C23—23no—
1190C23—23no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—23no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—23no—
1201C23—23no—
1202C23—23no—
1203C23—23no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—23no—
1211C23—23no—
1212C23—21no—
1213C23—21no—
1214C23—412no—
1215C23—412no—
1216C23—86no—
1217C23—86no—
1218C23—86no—
1219C23—86no—
1220C23—86no—
1221C23C22×#4116yes—
1222C23#58512yes—
1223C23C2611yescharacteristic
1224Q8—412no—
1225Q8—412no—
1226Q8—412no—
1227Q8—86no—
1228Q8#538116yes—
1229D4—224no—
1230D4—44no—
1231D4—44no—
1232D4—44no—
1233D4—424no—
1234D4—412no—
1235D4—86no—
1236D4—86no—
1237D4—86no—
1238D4—86no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—224no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—23no—
1247C2×C4—23no—
1248C2×C4—23no—
1249C2×C4—23no—
1250C2×C4—21no—
1251C2×C4—23no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—23no—
1260C2×C4—23no—
1261C2×C4—23no—
1262C2×C4—23no—
1263C2×C4—23no—
1264C2×C4—23no—
1265C2×C4—23no—
1266C2×C4—23no—
1267C2×C4—23no—
1268C2×C4—23no—
1269C2×C4—23no—
1270C2×C4—23no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—23no—
1274C2×C4—23no—
1275C2×C4—23no—
1276C2×C4—23no—
1277C2×C4—23no—
1278C2×C4—23no—
1279C2×C4—23no—
1280C2×C4—23no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—23no—
1285C2×C4—23no—
1286C2×C4—23no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—23no—
1290C2×C4—21no—
1291C2×C4—23no—
1292C2×C4—23no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—23no—
1296C2×C4—21no—
1297C2×C4—23no—
1298C2×C4—23no—
1299C2×C4—23no—
1300C2×C4—23no—
1301C2×C4—21no—
1302C2×C4—23no—
1303C2×C4—23no—
1304C2×C4—23no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—44no—
1314C2×C4—412no—
1315C2×C4—412no—
1316C2×C4—412no—
1317C2×C4—412no—
1318C2×C4—412no—
1319C2×C4—412no—
1320C2×C4—86no—
1321C2×C4—86no—
1322C2×C4—86no—
1323C2×C4—86no—
1324C2×C4C22×#4112yes—
1325C2×C4C22×#4116yes—
1326C2×C4C2×H(5,𝔽2)16yes—
1327C2×C4C2×H(5,𝔽2)16yes—
1328C2×C4#58512yes—
1329C22—26no—
1330C22—22no—
1331C22—26no—
1332C22—22no—
1333C22—22no—
1334C22—26no—
1335C22—41no—
1336C22—43no—
1337C22—43no—
1338C22—43no—
1339C22—41no—
1340C22—43no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—43no—
1346C22—41no—
1347C22—41no—
1348C22—43no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22—43no—
1356C22—43no—
1357C22—43no—
1358C22—41no—
1359C22—41no—
1360C22—43no—
1361C22—41no—
1362C22—41no—
1363C22—43no—
1364C22—824no—
1365C22C23×#4111yescharacteristic
1366C22C22×H(5,𝔽2)11yescharacteristic
1367C22C22×H(5,𝔽2)11yescharacteristic
1368C22C2×#58511yescharacteristic
1369C22C2×#58511yescharacteristic
1370C222−1+611yescharacteristic
1371C222−1+611yescharacteristic
1372C4—22no—
1373C4—22no—
1374C4—43no—
1375C4—43no—
1376C4—41no—
1377C4—41no—
1378C4—43no—
1379C4—43no—
1380C4—41no—
1381C4—41no—
1382C4—43no—
1383C4—41no—
1384C4—41no—
1385C4—43no—
1386C4—43no—
1387C4—43no—
1388C4—41no—
1389C4—41no—
1390C4—43no—
1391C4—43no—
1392C4—41no—
1393C4—41no—
1394C4—43no—
1395C4—43no—
1396C4—43no—
1397C4C2×#538112yes—
1398C2—46no—
1399C2—42no—
1400C2—81no—
1401C2—81no—
1402C2—83no—
1403C2C22×#53811yescharacteristic
1404C2#6281611yescharacteristic
1405C2#6286111yescharacteristic
1406C2#6289711yescharacteristic
1407C2#6289711yescharacteristic
1408C2#6289711yescharacteristic
1409C2#6292211yescharacteristic
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. #42715C2semidirect
2. #42712C2semidirect
3. #42709C2semidirect
4. #42706C2semidirect
5. #42634C2semidirect
6. #42627C2semidirect
7. #42586C2semidirect
8. #42563C2semidirect
9. #40031C2semidirect
10. #40009C2semidirect
11. #39932C2semidirect
12. #39911C2semidirect
13. #37500C2semidirect
14. #37499C2semidirect
15. #36444C2semidirect
16. #36431C2semidirect
17. #36428C2semidirect
18. #36428C2semidirect
19. #35920C2semidirect
20. #35910C2semidirect
21. #35898C2semidirect
22. #35854C2semidirect
23. #35801C2semidirect
24. #35771C2semidirect
25. #35723C2semidirect
26. #35700C2semidirect
27. #35086C2semidirect
28. #34570C2semidirect
29. #34293C2semidirect
30. #34293C2semidirect
31. C22⋊C4×#41C2semidirect
33. C2×#557C22semidirect
36. C2×D4×Q8C22semidirect
41. C2×#519C22semidirect
42. C2×#519C22semidirect
45. #2857C22semidirect
46. #2851C22semidirect
49. #2827C22semidirect
50. #2827C22semidirect
51. #2826C22semidirect
52. #2824C22semidirect
53. #2797C22semidirect
54. #2781C22semidirect
55. #2779C22semidirect
56. #2779C22semidirect
57. #2771C22semidirect
58. #2765C22semidirect
59. #2761C22semidirect
60. #2753C22semidirect
61. #2751C22semidirect
62. #2741C22semidirect
65. #2714C22semidirect
66. #2702C22semidirect
70. #2653C22semidirect
71. #2653C22semidirect
73. #2652C22semidirect
74. #2652C22semidirect
76. #2649C22semidirect
77. #2649C22semidirect
79. #2648C22semidirect
80. #2648C22semidirect
81. #2648C22semidirect
82. #2646C22semidirect
83. #2645C22semidirect
84. #2644C22semidirect
85. #2643C22semidirect
86. #2643C22semidirect
87. #2642C22semidirect
88. #2640C22semidirect
89. #2639C22semidirect
91. #2625C22semidirect
92. #2624C22semidirect
95. #2621C22semidirect
96. #2620C22semidirect
98. #2597C22semidirect
99. #2595C22semidirect
100. #2592C22semidirect
101. #2589C22semidirect
102. #2587C22semidirect
103. #2580C22semidirect
104. #2568C22semidirect
105. #2566C22semidirect
106. #2563C22semidirect
108. #2547C22semidirect
109. #2546C22semidirect
110. #2545C22semidirect
111. #2538C22semidirect
112. #2537C22semidirect
114. #2513C22semidirect
115. #2512C22semidirect
116. #2512C22semidirect
117. #2511C22semidirect
118. #2511C22semidirect
119. #2511C22semidirect
120. #2505C22semidirect
121. #2505C22semidirect
122. #2500C22semidirect
123. #2499C22semidirect
124. #2497C22semidirect
128. #2496C22semidirect
129. #2494C22semidirect
131. #2492C22semidirect
132. #2490C22semidirect
133. #2490C22semidirect
135. #2489C22semidirect
136. #2489C22semidirect
137. #2489C22semidirect
139. #2485C22semidirect
142. #2454C22semidirect
143. #2452C22semidirect
144. #2448C22semidirect
145. #2448C22semidirect
146. #2446C22semidirect
147. #2446C22semidirect
148. #2441C22semidirect
149. #2439C22semidirect
157. #2429C22semidirect
158. #2429C22semidirect
159. #2427C22semidirect
160. #2427C22semidirect
161. #2426C22semidirect
163. #2423C22semidirect
165. #2421C22semidirect
167. #2415C22semidirect
168. #2415C22semidirect
169. #2415C22semidirect
170. #2415C22semidirect
171. #2414C22semidirect
179. #2401C22semidirect
181. #2398C22semidirect
183. #2395C22semidirect
185. #2392C22semidirect
186. #2367C22semidirect
187. #2367C22semidirect
188. #2363C22semidirect
189. #2363C22semidirect
190. #2362C22semidirect
191. #2362C22semidirect
192. #2354C22semidirect
193. #2354C22semidirect
194. #2351C22semidirect
195. #2351C22semidirect
196. Q8×C4⋊C4C22semidirect
197. Q8×C4⋊C4C22semidirect
198. Q8×C4⋊C4C22semidirect
199. Q8×C4⋊C4C22semidirect
210. Q8×C22⋊C4C22semidirect
211. Q8×C22⋊C4C22semidirect
212. Q8×C22⋊C4C22semidirect
213. Q8×C22⋊C4C22semidirect
219. #2334C22semidirect
220. #2326C22semidirect
221. #2326C22semidirect
222. #2324C22semidirect
223. #2324C22semidirect
224. C4×C22⋊Q8C22semidirect
225. C4×C22⋊Q8C22semidirect
226. C4×C22⋊Q8C22semidirect
227. C4×#121C22semidirect
232. #2290C22semidirect
233. #2290C22semidirect
235. #2276C22semidirect
236. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#427152
#427122
#427092
#427062
#426342
#426272
#425862
#425632
#400312
#400092
#399322
#399112
#375002
#374992
#364442
#364312
#364282
#359202
#359102
#358982
#358542
#358012
#357712
#357232
#357002
#350862
#345702
#342932
C22⋊C4×#412