Finite Group Databasebeta

← #7661016

Subgroups — #7661016

Order 512.

5599 conjugacy classes of subgroups.

The subgroup lattice has 1425 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52243C213yesmaximal, complemented
2#42982C213yesmaximal, complemented
3#42976C213yesmaximal, complemented
4#42903C213yesmaximal, complemented
5#42858C213yesmaximal, complemented
6#42855C213yesmaximal, complemented
7#42835C213yesmaximal, complemented
8#40221C213yesmaximal, complemented
9#40125C213yesmaximal, complemented
10#39935C213yesmaximal, complemented
11#39910C213yesmaximal, complemented
12#39227C213yesmaximal, complemented
13#39218C213yesmaximal, complemented
14#37365C213yesmaximal, complemented
15#37331C213yesmaximal, complemented
16#37282C213yesmaximal, complemented
17#36578C211yesmaximal, characteristic, complemented
18#36576C211yesmaximal, characteristic, complemented
19#36467C211yesmaximal, characteristic, complemented
20#36458C211yesmaximal, characteristic, complemented
21#36429C211yesmaximal, characteristic, complemented
22#36428C211yesmaximal, characteristic, complemented
23#36076C211yesmaximal, characteristic, complemented
24#36049C211yesmaximal, characteristic, complemented
25#35898C211yesmaximal, characteristic, complemented
26#35845C211yesmaximal, characteristic, complemented
27#35831C211yesmaximal, characteristic, complemented
28#35771C211yesmaximal, characteristic, complemented
29#34312C211yesmaximal, characteristic, complemented
30#34291C211yesmaximal, characteristic, complemented
31#34174C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C2×#557C2211yescharacteristic, complemented
34C2×#550C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×D4×Q8C2211yescharacteristic
37C2×#548C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#548C2211yescharacteristic, complemented
41C2×#520C2211yescharacteristic, complemented
42C2×#519C2211yescharacteristic
43C2×#519C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic, complemented
45#2861C2213yescomplemented
46#2860C2213yescomplemented
47#2856C2213yescomplemented
48#2854C2213yescomplemented
49#2848C2213yes—
50#2847C2213yes—
51#2830C2216yescomplemented
52#2829C2216yescomplemented
53#2803C2216yescomplemented
54#2803C2216yescomplemented
55#2803C2216yescomplemented
56#2800C2216yescomplemented
57#2797C2216yescomplemented
58#2788C2213yescomplemented
59#2786C2213yescomplemented
60#2784C2216yescomplemented
61#2781C2213yescomplemented
62#2780C2213yescomplemented
63#2779C2216yescomplemented
64#2778C2213yescomplemented
65#2770C2213yescomplemented
66#2765C2213yes—
67#2751C2213yes—
68#2750C2216yescomplemented
69#2749C2213yes—
70#2743C2211yescharacteristic
71#2743C2216yes—
72#2735C2213yes—
73#2735C2216yes—
74#2727C2216yescomplemented
75#2715C2216yescomplemented
76#2714C2216yescomplemented
77#2697C2216yes—
78#2695C2213yescomplemented
79#2686C2213yescomplemented
80#2685C2213yes—
81#2685C2216yes—
82#2685C2216yes—
83#2684C2213yes—
84#2684C2216yes—
85#2682C2216yescomplemented
86#2678C2213yes—
87#2668C2216yes—
88#2662C2216yescomplemented
89#2652C2216yescomplemented
90#2649C2216yescomplemented
91#2648C2216yescomplemented
92#2648C2216yescomplemented
93#2648C2216yescomplemented
94#2644C2213yescomplemented
95#2641C2213yescomplemented
96#2628C2213yes—
97#2624C2213yescomplemented
98#2620C2213yes—
99#2620C2213yescomplemented
100#2592C2213yescomplemented
101#2587C2216yescomplemented
102#2581C2213yescomplemented
103#2578C2216yescomplemented
104#2576C2216yescomplemented
105#2567C2213yescomplemented
106#2562C2213yescomplemented
107#2562C2213yescomplemented
108#2559C2216yescomplemented
109#2555C2216yescomplemented
110#2554C2216yescomplemented
111#2548C2213yescomplemented
112#2548C2213yescomplemented
113#2545C2213yescomplemented
114#2544C2213yescomplemented
115#2538C2213yescomplemented
116#2538C2213yescomplemented
117#2537C2213yescomplemented
118#2513C2213yescomplemented
119#2513C2213yescomplemented
120#2512C2213yescomplemented
121#2512C2213yescomplemented
122#2512C2213yescomplemented
123#2512C2213yescomplemented
124#2504C2213yescomplemented
125#2504C2213yescomplemented
126#2497C2213yescomplemented
127#2497C2213yescomplemented
128#2496C2213yescomplemented
129#2496C2213yescomplemented
130#2495C2213yescomplemented
131#2494C2213yescomplemented
132#2492C2213yescomplemented
133#2491C2213yescomplemented
134#2491C2213yescomplemented
135#2491C2213yescomplemented
136#2490C2213yescomplemented
137#2490C2213yescomplemented
138#2490C2213yescomplemented
139#2489C2213yescomplemented
140#2487C2213yescomplemented
141#2486C2213yescomplemented
142#2453C2213yescomplemented
143#2453C2213yescomplemented
144#2448C2213yescomplemented
145#2448C2213yescomplemented
146#2445C2213yescomplemented
147#2445C2213yescomplemented
148#2441C2213yes—
149#2441C2213yes—
150#2435C2213yes—
151#2433C2213yes—
152#2432C2213yes—
153#2432C2213yes—
154#2431C2213yes—
155#2431C2213yes—
156#2429C2213yescomplemented
157#2428C2213yescomplemented
158#2427C2213yescomplemented
159#2426C2213yescomplemented
160#2426C2213yescomplemented
161#2426C2213yescomplemented
162#2421C2213yescomplemented
163#2421C2213yescomplemented
164#2420C2213yescomplemented
165#2420C2213yescomplemented
166#2417C2213yescomplemented
167#2416C2213yescomplemented
168#2416C2213yescomplemented
169#2416C2213yescomplemented
170#2415C2213yes—
171#2414C2213yes—
172#2408C2213yes—
173#2408C2213yes—
174#2407C2213yes—
175#2407C2213yes—
176#2407C2213yes—
177#2407C2213yes—
178#2401C2213yescomplemented
179#2398C2213yescomplemented
180#2396C2213yes—
181#2395C2213yescomplemented
182#2392C2213yes—
183#2392C2213yescomplemented
184#2367C2213yescomplemented
185#2365C2213yescomplemented
186#2363C2213yes—
187#2362C2213yes—
188#2360C2213yescomplemented
189#2360C2213yescomplemented
190#2352C2213yes—
191#2352C2213yes—
192#2351C2211yescharacteristic, complemented
193#2351C2211yescharacteristic, complemented
194#2351C2211yescharacteristic, complemented
195Q8×C4⋊C4C2211yescharacteristic, complemented
196Q8×C4⋊C4C2211yescharacteristic, complemented
197Q8×C4⋊C4C2211yescharacteristic, complemented
198#2341C2213yes—
199#2341C2213yes—
200#2341C2211yescharacteristic
201#2341C2211yescharacteristic
202#2341C2211yescharacteristic
203#2341C2213yes—
204#2341C2211yescharacteristic
205#2341C2211yescharacteristic
206#2341C2211yescharacteristic
207#2341C2213yes—
208#2341C2211yescharacteristic
209#2341C2211yescharacteristic
210#2341C2211yescharacteristic, complemented
211#2341C2211yescharacteristic, complemented
212Q8×C22⋊C4C2211yescharacteristic
213Q8×C22⋊C4C2211yescharacteristic
214Q8×C22⋊C4C2211yescharacteristic, complemented
215Q8×C22⋊C4C2211yescharacteristic, complemented
216#2335C2216yescomplemented
217#2333C2216yescomplemented
218#2327C2213yescomplemented
219#2324C2213yes—
220#2323C2213yes—
221#2323C2213yescomplemented
222#2309C2213yes—
223#2309C2213yes—
224C4×#126C2213yescomplemented
225C4×#124C2213yescomplemented
226C4×#124C2213yescomplemented
227C4×C22⋊Q8C2213yescomplemented
228C4×#123C2213yescomplemented
229C4×#121C2213yescomplemented
230C4×#120C2213yes—
231C4×#120C2213yes—
232#2293C2213yes—
233#2290C2213yes—
234#2280C2213yes—
235#2280C2213yes—
236#2276C2211yescharacteristic, complemented
237C42×Q8C2211yescharacteristic, complemented
238C22×#41—28no—
239C22×#41—44no—
240C22×#41—44no—
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C22×#41C2311yescharacteristic
244C22×#41C2313yes—
245C22×#41C2313yes—
246C23×Q8C2311yescharacteristic
247C23×Q8C2311yescharacteristic
248C23×D4C2313yes—
249C24×C4C2313yes—
250#557—44no—
251#550—44no—
252#550—44no—
253D4×Q8—28no—
254#548—28no—
255#548—44no—
256#548—44no—
257#548—44no—
258C2×C4⋊Q8C2313yes—
259C2×C4⋊Q8C2313yes—
260C2×#127C2313yes—
261C2×#127C2313yes—
262C2×#126C2313yes—
263C2×#126C2316yes—
264C2×#126C2316yes—
265C2×#125C2313yes—
266C2×#125C2313yes—
267C2×#124C2313yes—
268C2×#124C2313yes—
269C2×#124C2313yes—
270C2×#124C2313yes—
271C2×#124C2313yes—
272C2×#124C2316yes—
273C2×#123C2316yes—
274C2×#123C2313yes—
275C2×C22⋊Q8C2313yes—
276C2×C22⋊Q8C2313yes—
277C2×C22⋊Q8C2313yes—
278C2×C22⋊Q8C2313yes—
279C2×C22⋊Q8C2313yes—
280C2×C22⋊Q8C2313yes—
281C2×#121C2313yes—
282C2×#121C2316yes—
283C2×#121C2313yes—
284C2×#121C2313yes—
285C2×#121C2313yes—
286C2×#121C2313yes—
287C2×#121C2313yes—
288C2×#121C2313yes—
289C2×#121C2313yes—
290C2×#121C2313yes—
291C2×#121C2316yes—
292C2×#120C2313yes—
293C2×#120C2313yes—
294C2×#120C2316yes—
295#520—44no—
296#519—44no—
297#519—44no—
298C2×C4×Q8—44no—
299C2×C4×Q8C2311yescharacteristic
300C2×C4×Q8C2311yescharacteristic
301C2×C4×Q8C2311yescharacteristic
302C2×C4×Q8C2311yescharacteristic
303C2×C4×Q8C2311yescharacteristic
304C2×C4×Q8C2311yescharacteristic
305C2×C4×Q8C2311yescharacteristic
306C2×C4×Q8C2311yescharacteristic
307C2×C4×Q8C2311yescharacteristic
308C2×C4×Q8C2311yescharacteristic
309C2×C4×Q8C2313yes—
310C2×C4×Q8C2313yes—
311C2×C4×Q8C2313yes—
312C2×C4×Q8C2313yes—
313C2×C4×Q8C2313yes—
314C2×C4×Q8C2313yes—
315C2×C4×Q8C2313yes—
316C2×C4×D4C2313yes—
317C2×C4×D4C2313yes—
318C2×C4×D4C2313yes—
319C2×C4×D4C2313yes—
320C2×C4×D4C2313yes—
321C2×C4×D4C2313yes—
322C2×C4×D4C2313yes—
323C2×C4×D4C2313yes—
324C2×C4×D4C2313yes—
325C2×#117C2313yes—
326C2×#117C2313yes—
327C2×#117C2313yes—
328C2×#117C2313yes—
329C2×#117C2313yes—
330C22×C4⋊C4C2313yes—
331C22×C4⋊C4C2313yes—
332C22×C42C2313yes—
333#401C2313yes—
334#400C2313yes—
335#400C2316yes—
336#400C2316yes—
337#400C2313yes—
338#400C2316yes—
339#400C2313yes—
340#400C2311yescharacteristic
341#400C2316yes—
342#400C2311yescharacteristic
343#400C2311yescharacteristic
344#400C2313yes—
345#399C2316yes—
346#399C2313yes—
347#399C2316yes—
348#399C2311yescharacteristic
349#398C2313yes—
350#398C2313yes—
351#398C2313yes—
352#398C2313yes—
353#398C2313yes—
354#397C2316yes—
355#397C2316yes—
356#397C2313yes—
357#397C2316yes—
358#397C2316yes—
359#397C2316yes—
360#397C2316yes—
361#397C2313yes—
362#397C2316yes—
363#397C2313yes—
364#397C2316yes—
365#397C2313yes—
366#397C2313yes—
367#397C2313yes—
368#397C2313yes—
369#397C2313yes—
370#397C2313yes—
371#397C2313yes—
372#396C2313yes—
373#396C2316yes—
374#396C2316yes—
375#396C2316yes—
376#396C2316yes—
377#396C2316yes—
378#396C2316yes—
379#396C2313yes—
380#396C2316yes—
381#396C2313yes—
382#396C2313yes—
383#396C2311yescharacteristic
384#396C2313yes—
385#396C2313yes—
386#395C2313yes—
387#395C2316yes—
388#394C2316yes—
389#394C2316yes—
390#394C2313yes—
391#394C2316yes—
392#394C2316yes—
393#394C2316yes—
394#394C2316yes—
395#394C2316yes—
396#394C2316yes—
397#394C2313yes—
398#394C2316yes—
399#394C2316yes—
400#394C2316yes—
401#394C2316yes—
402#394C2313yes—
403#394C2316yes—
404#394C2316yes—
405#394C2311yescharacteristic
406#394C2313yes—
407#394C2313yes—
408#394C2313yes—
409#394C2313yes—
410#394C2316yes—
411#394C2313yes—
412#394C2313yes—
413#393C2313yes—
414#393C2316yes—
415#393C2313yes—
416#393C2313yes—
417#392C2316yes—
418#392C2313yes—
419#392C2313yes—
420#392C2316yes—
421#392C2316yes—
422#392C2316yes—
423#391C2313yes—
424#391C2313yes—
425#391C2313yes—
426#391C2313yes—
427#391C2313yes—
428#391C2313yes—
429#391C2313yes—
430#391C2313yes—
431#391C2313yes—
432#390C2316yes—
433#390C2316yes—
434#390C2313yes—
435#390C2313yes—
436#390C2313yes—
437#390C2313yes—
438#390C2313yes—
439#390C2313yes—
440#390C2313yes—
441#390C2316yes—
442#390C2313yes—
443#390C2316yes—
444#390C2313yes—
445#390C2313yes—
446#390C2316yes—
447#390C2316yes—
448#390C2316yes—
449#390C2313yes—
450#390C2313yes—
451#390C2313yes—
452#390C2313yes—
453#390C2313yes—
454#390C2313yes—
455#390C2313yes—
456#390C2313yes—
457#390C2313yes—
458#390C2313yes—
459#390C2313yes—
460#390C2316yes—
461#390C2313yes—
462#390C2313yes—
463#390C2313yes—
464#389C2316yes—
465#389C2316yes—
466#389C2313yes—
467#389C2316yes—
468#389C2313yes—
469#389C2313yes—
470#389C2313yes—
471#389C2313yes—
472#389C2313yes—
473#389C2313yes—
474#389C2316yes—
475#389C2313yes—
476#389C2313yes—
477#389C2313yes—
478#389C2313yes—
479#389C2313yes—
480#389C2313yes—
481#389C2313yes—
482#389C2313yes—
483#388C2313yes—
484#388C2313yes—
485#388C2313yes—
486#388C2313yes—
487#388C2316yes—
488#388C2316yes—
489#388C2316yes—
490#388C2316yes—
491#388C2316yes—
492#388C2316yes—
493#388C2316yes—
494#388C2313yes—
495#388C2316yes—
496#388C2316yes—
497#388C2316yes—
498#388C2316yes—
499#388C2316yes—
500#388C2316yes—
501#388C2313yes—
502#388C2316yes—
503#388C2313yes—
504#388C2316yes—
505#388C2313yes—
506#388C2313yes—
507#388C2313yes—
508#388C2316yes—
509#388C2313yes—
510#388C2313yes—
511#388C2313yes—
512#388C2313yes—
513#388C2311yescharacteristic
514#388C2311yescharacteristic
515#388C2313yes—
516#387C2311yescharacteristic
517#387C2313yes—
518#387C2313yes—
519#387C2316yes—
520#387C2316yes—
521#387C2316yes—
522#387C2316yes—
523#387C2316yes—
524#387C2316yes—
525#387C2313yes—
526#387C2316yes—
527#387C2313yes—
528#387C2313yes—
529#387C2313yes—
530#386C2313yes—
531#386C2316yes—
532#386C2316yes—
533#386C2316yes—
534#386C2316yes—
535#386C2313yes—
536#386C2313yes—
537#386C2316yes—
538#386C2316yes—
539#386C2313yes—
540#386C2313yes—
541#386C2313yes—
542#386C2313yes—
543#386C2316yes—
544#386C2316yes—
545#386C2313yes—
546#386C2311yescharacteristic
547#386C2313yes—
548#386C2311yescharacteristic
549#385C2316yes—
550#385C2313yes—
551#385C2316yes—
552#385C2313yes—
553#385C2316yes—
554#385C2313yes—
555#385C2313yes—
556#385C2313yes—
557#385C2313yes—
558#385C2313yes—
559#385C2313yes—
560#385C2311yescharacteristic
561#384C2313yes—
562#384C2313yes—
563#384C2313yes—
564#383C2313yes—
565#382C2313yes—
566#382C2313yes—
567#382C2313yes—
568#382C2313yes—
569#381C2316yes—
570#381C2311yescharacteristic
571#381C2313yes—
572#381C2311yescharacteristic
573#380C2313yes—
574#380C2313yes—
575#380C2313yes—
576#380C2313yes—
577#380C2313yes—
578#380C2313yes—
579#380C2313yes—
580#380C2313yes—
581#380C2316yes—
582#380C2313yes—
583#380C2313yes—
584#380C2313yes—
585#380C2313yes—
586#380C2313yes—
587#380C2313yes—
588#380C2313yes—
589#380C2313yes—
590#380C2313yes—
591#380C2313yes—
592#380C2311yescharacteristic
593#379C2316yes—
594#379C2313yes—
595#379C2313yes—
596#379C2316yes—
597#379C2313yes—
598#379C2313yes—
599C4×C4⋊C4C2313yes—
600C4×C4⋊C4C2313yes—
601C4×C4⋊C4C2313yes—
602C4×C4⋊C4C2313yes—
603C4×C4⋊C4C2313yes—
604C4×C4⋊C4C2313yes—
605C4×C4⋊C4C2313yes—
606C4×C4⋊C4C2313yes—
607C4×C4⋊C4C2316yes—
608C4×C4⋊C4C2313yes—
609C4×C4⋊C4C2313yes—
610C4×C4⋊C4C2313yes—
611C4×C4⋊C4C2313yes—
612C4×C22⋊C4C2313yes—
613C4×C22⋊C4C2313yes—
614C4×C22⋊C4C2313yes—
615C4×C22⋊C4C2316yes—
616C4×C22⋊C4C2316yes—
617C4×C22⋊C4C2316yes—
618C4×C22⋊C4C2316yes—
619C4×C22⋊C4C2316yes—
620C4×C22⋊C4C2313yes—
621C4×C22⋊C4C2313yes—
622C4×C22⋊C4C2313yes—
623C4×C22⋊C4C2313yes—
624C4×C22⋊C4C2313yes—
625C4×C22⋊C4C2313yes—
626C4×C22⋊C4C2313yes—
627C4×C22⋊C4C2313yes—
628C4×C22⋊C4C2313yes—
629C4×C22⋊C4C2313yes—
630C4×C22⋊C4C2313yes—
631#376C2313yes—
632C43C2313yes—
633C25C2413yes—
634C2×#41—24no—
635C2×#41—212no—
636C2×#41—212no—
637C2×#41—24no—
638C2×#41—24no—
639C2×#41—24no—
640C2×#41—24no—
641C2×#41—24no—
642C2×#41—24no—
643C2×#41—24no—
644C2×#41—24no—
645C2×#41—46no—
646C2×#41—46no—
647C2×#41—46no—
648C2×#41—46no—
649C2×#41—464no—
650C22×Q8—24no—
651C22×Q8—24no—
652C22×Q8—24no—
653C22×Q8—24no—
654C22×Q8—24no—
655C22×Q8#4118yes—
656C22×Q8C2413yes—
657C22×Q8C2413yes—
658C22×Q8C2413yes—
659C22×Q8C2411yescharacteristic
660C22×D4—212no—
661C22×D4—46no—
662C22×D4—46no—
663C22×D4C2413yes—
664C22×D4C2413yes—
665C22×D4C2413yes—
666C22×D4C2411yescharacteristic
667C22×D4C2413yes—
668C22×D4C2413yes—
669C22×D4C2413yes—
670C22×D4C2413yes—
671C22×D4C2413yes—
672C22×D4C2416yes—
673C22×D4C2413yes—
674C22×D4C2416yes—
675C22×D4C2416yes—
676C23×C4—212no—
677C23×C4—46no—
678C23×C4—46no—
679C23×C4C2413yes—
680C23×C4C2413yes—
681C23×C4C2413yes—
682C23×C4C2413yes—
683C23×C4C2411yescharacteristic
684C23×C4C2413yes—
685C23×C4C2411yescharacteristic
686C23×C4C2413yes—
687C23×C4C2413yes—
688C23×C4C2413yes—
689C23×C4C2416yes—
690C4⋊Q8—212no—
691C4⋊Q8—46no—
692#127—46no—
693#127—46no—
694#126—46no—
695#126—86no—
696#126—86no—
697#125—46no—
698#125—46no—
699#124—212no—
700#124—46no—
701#124—46no—
702#124—46no—
703#124—46no—
704#124—86no—
705#123—46no—
706#123—412no—
707C22⋊Q8—212no—
708C22⋊Q8—212no—
709C22⋊Q8—212no—
710C22⋊Q8—46no—
711C22⋊Q8—46no—
712C22⋊Q8—46no—
713#121—212no—
714#121—412no—
715#121—46no—
716#121—46no—
717#121—46no—
718#121—46no—
719#121—46no—
720#121—46no—
721#121—46no—
722#121—46no—
723#121—86no—
724#120—46no—
725#120—46no—
726#120—86no—
727C4×Q8—24no—
728C4×Q8—24no—
729C4×Q8—24no—
730C4×Q8—24no—
731C4×Q8—24no—
732C4×Q8—24no—
733C4×Q8—24no—
734C4×Q8—24no—
735C4×Q8—24no—
736C4×Q8—24no—
737C4×Q8—46no—
738C4×Q8—46no—
739C4×Q8—46no—
740C4×Q8—46no—
741C4×Q8—46no—
742C4×Q8—46no—
743C4×Q8—46no—
744C4×D4—212no—
745C4×D4—212no—
746C4×D4—46no—
747C4×D4—46no—
748C4×D4—46no—
749C4×D4—46no—
750C4×D4—46no—
751C4×D4—46no—
752C4×D4—46no—
753#117—46no—
754#117—46no—
755#117—46no—
756#117—46no—
757#117—46no—
758C2×C4⋊C4—46no—
759C2×C4⋊C4—46no—
760C2×C4⋊C4C2413yes—
761C2×C4⋊C4C2413yes—
762C2×C4⋊C4C2413yes—
763C2×C4⋊C4C2413yes—
764C2×C4⋊C4C2413yes—
765C2×C4⋊C4C2413yes—
766C2×C4⋊C4C2413yes—
767C2×C4⋊C4C2413yes—
768C2×C4⋊C4C2413yes—
769C2×C4⋊C4C2413yes—
770C2×C4⋊C4C2413yes—
771C2×C4⋊C4C2413yes—
772C2×C4⋊C4C2416yes—
773C2×C4⋊C4C2413yes—
774C2×C4⋊C4C2413yes—
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2413yes—
777C2×C4⋊C4C2416yes—
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2413yes—
780C2×C4⋊C4C2413yes—
781C2×C4⋊C4C2413yes—
782C2×C4⋊C4C2413yes—
783C2×C4⋊C4C2411yescharacteristic
784C2×C4⋊C4C2411yescharacteristic
785C2×C4⋊C4C2413yes—
786C2×C4⋊C4C2413yes—
787C2×C4⋊C4C2413yes—
788C2×C4⋊C4C2411yescharacteristic
789C2×C4⋊C4C2413yes—
790C2×C4⋊C4C2413yes—
791C2×C4⋊C4C2416yes—
792C2×C4⋊C4C2413yes—
793C2×C4⋊C4C2416yes—
794C2×C4⋊C4C2413yes—
795C2×C4⋊C4C2416yes—
796C2×C4⋊C4C2413yes—
797C2×C4⋊C4C2413yes—
798C2×C4⋊C4C2413yes—
799C2×C4⋊C4C2416yes—
800C2×C4⋊C4C2413yes—
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2413yes—
804C2×C22⋊C4C2411yescharacteristic
805C2×C22⋊C4C2413yes—
806C2×C22⋊C4C2413yes—
807C2×C22⋊C4C2413yes—
808C2×C22⋊C4C2411yescharacteristic
809C2×C22⋊C4C2413yes—
810C2×C22⋊C4C2413yes—
811C2×C22⋊C4C2416yes—
812C2×C22⋊C4C2411yescharacteristic
813C2×C22⋊C4C2413yes—
814C2×C22⋊C4C2411yescharacteristic
815C2×C22⋊C4C2413yes—
816C2×C22⋊C4C2411yescharacteristic
817C2×C22⋊C4C2413yes—
818C2×C22⋊C4C2413yes—
819C2×C22⋊C4C2411yescharacteristic
820C2×C22⋊C4C2411yescharacteristic
821C2×C22⋊C4C2411yescharacteristic
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⋊C4C2416yes—
831C2×C22⋊C4C2416yes—
832C2×C22⋊C4C2413yes—
833C2×C22⋊C4C2413yes—
834C2×C22⋊C4C2413yes—
835C2×C22⋊C4C2413yes—
836C2×C22⋊C4C2416yes—
837C2×C22⋊C4C2416yes—
838C2×C22⋊C4C2416yes—
839C2×C22⋊C4C2416yes—
840C2×C22⋊C4C2416yes—
841C2×C22⋊C4C2416yes—
842C2×C22⋊C4C2413yes—
843C2×C22⋊C4C2413yes—
844C2×C22⋊C4C2416yes—
845C2×C22⋊C4C2413yes—
846C2×C22⋊C4C2413yes—
847C2×C22⋊C4C2416yes—
848C2×C22⋊C4C2416yes—
849C2×C22⋊C4C2413yes—
850C2×C22⋊C4C2413yes—
851C2×C22⋊C4C2416yes—
852C2×C22⋊C4C2413yes—
853C2×C22⋊C4C2413yes—
854C2×C22⋊C4C2413yes—
855C2×C22⋊C4C2413yes—
856C2×C22⋊C4C2413yes—
857C2×C22⋊C4C2413yes—
858C2×C22⋊C4C2411yescharacteristic
859C2×C22⋊C4C2411yescharacteristic
860C2×C22⋊C4C2413yes—
861C2×C22⋊C4C2413yes—
862C2×C22⋊C4C2416yes—
863C2×C22⋊C4C2413yes—
864C2×C22⋊C4C2413yes—
865C2×C22⋊C4C2413yes—
866C2×C42—46no—
867C2×C42C2413yes—
868C2×C42C2413yes—
869C2×C42C2413yes—
870C2×C42C2413yes—
871C2×C42C2413yes—
872C2×C42C2413yes—
873C2×C42C2413yes—
874C2×C42C2413yes—
875C2×C42C2413yes—
876C2×C42C2413yes—
877C2×C42C2416yes—
878C2×C42C2416yes—
879C2×C42C2413yes—
880C2×C42C2413yes—
881C2×C42C2416yes—
882C2×C42C2413yes—
883C2×C42C2413yes—
884C2×C42C2413yes—
885C2×C42C2411yescharacteristic
886#95C2411yescharacteristic
887#95C2413yes—
888#95C2413yes—
889#95C2413yes—
890#95C2413yes—
891#95C2411yescharacteristic
892#95C2413yes—
893#95C2411yescharacteristic
894#95C2413yes—
895#95C2413yes—
896#95C2411yescharacteristic
897#95C2411yescharacteristic
898#95C2411yescharacteristic
899#95C2411yescharacteristic
900#95C2411yescharacteristic
901#95C2411yescharacteristic
902#95C2411yescharacteristic
903#95C2413yes—
904#95C2411yescharacteristic
905#95C2413yes—
906#95C2413yes—
907#95C2413yes—
908#95C2413yes—
909#95C2413yes—
910#95C2413yes—
911#95C2413yes—
912#95C2413yes—
913#95C2416yes—
914#95C2416yes—
915#95C2416yes—
916#95C2413yes—
917#95C2416yes—
918#95C2413yes—
919#95C2413yes—
920#95C2413yes—
921#95C2413yes—
922#95C2413yes—
923#95C2411yescharacteristic
924#95C2411yescharacteristic
925#95C2416yes—
926#95C2411yescharacteristic
927#95C2416yes—
928#95C2413yes—
929#95C2413yes—
930#95C2413yes—
931#95C2413yes—
932#95C2413yes—
933#95C2413yes—
934#95C2413yes—
935#95C2413yes—
936#95C2416yes—
937#95C2416yes—
938C24—26no—
939C24—43no—
940C24—43no—
941C24—43no—
942C24—43no—
943C24—43no—
944C24—43no—
945C24C2513yes—
946C24C2513yes—
947C24C2513yes—
948C24C2511yescharacteristic
949C24C2511yescharacteristic
950#41—448no—
951#41—448no—
952#41—416no—
953#41—416no—
954#41—416no—
955C2×Q8—232no—
956C2×Q8—26no—
957C2×Q8—26no—
958C2×Q8—26no—
959C2×Q8—26no—
960C2×Q8—26no—
961C2×Q8—43no—
962C2×Q8—43no—
963C2×Q8—43no—
964C2×Q8—416no—
965C2×Q8C2×#41112yes—
966C2×Q8C2×#4114yes—
967C2×Q8H(5,𝔽2)14yes—
968C2×Q8H(5,𝔽2)14yes—
969C2×D4—22no—
970C2×D4—22no—
971C2×D4—26no—
972C2×D4—26no—
973C2×D4—26no—
974C2×D4—26no—
975C2×D4—26no—
976C2×D4—212no—
977C2×D4—26no—
978C2×D4—26no—
979C2×D4—26no—
980C2×D4—26no—
981C2×D4—26no—
982C2×D4—26no—
983C2×D4—26no—
984C2×D4—26no—
985C2×D4—26no—
986C2×D4—46no—
987C2×D4—46no—
988C2×D4—41no—
989C2×D4—448no—
990C2×D4—43no—
991C2×D4—43no—
992C2×D4—43no—
993C2×D4—43no—
994C2×D4—43no—
995C2×D4—43no—
996C2×D4—43no—
997C2×D4—43no—
998C2×D4—43no—
999C2×D4—43no—
1000C2×D4—43no—
1001C2×D4—43no—
1002C2×D4—43no—
1003C2×D4—46no—
1004C2×D4—46no—
1005C2×D4—46no—
1006C2×D4—46no—
1007C2×D4—46no—
1008C2×D4—46no—
1009C22×C4—26no—
1010C22×C4—26no—
1011C22×C4—22no—
1012C22×C4—22no—
1013C22×C4—26no—
1014C22×C4—26no—
1015C22×C4—26no—
1016C22×C4—26no—
1017C22×C4—26no—
1018C22×C4—26no—
1019C22×C4—26no—
1020C22×C4—26no—
1021C22×C4—26no—
1022C22×C4—26no—
1023C22×C4—26no—
1024C22×C4—26no—
1025C22×C4—26no—
1026C22×C4—26no—
1027C22×C4—22no—
1028C22×C4—41no—
1029C22×C4—41no—
1030C22×C4—41no—
1031C22×C4—43no—
1032C22×C4—43no—
1033C22×C4—43no—
1034C22×C4—43no—
1035C22×C4—43no—
1036C22×C4—43no—
1037C22×C4—43no—
1038C22×C4—46no—
1039C22×C4—46no—
1040C22×C4—46no—
1041C22×C4—448no—
1042C22×C4C2×#41112yes—
1043C22×C4C2511yescharacteristic
1044C22×C4C2511yescharacteristic
1045C22×C4C2511yescharacteristic
1046C22×C4C2511yescharacteristic
1047C22×C4C2511yescharacteristic
1048C22×C4C2513yes—
1049C22×C4C2513yes—
1050C22×C4C2513yes—
1051C22×C4C2511yescharacteristic
1052C22×C4C2513yes—
1053C22×C4C2513yes—
1054C22×C4C2511yescharacteristic
1055C22×C4C2511yescharacteristic
1056C22×C4C2513yes—
1057C22×C4C2513yes—
1058C22×C4C2511yescharacteristic
1059C22×C4C2513yes—
1060C22×C4C2513yes—
1061C22×C4C2513yes—
1062C22×C4C2511yescharacteristic
1063C22×C4C2511yescharacteristic
1064C22×C4C2511yescharacteristic
1065C22×C4C2513yes—
1066C22×C4C2513yes—
1067C22×C4C2511yescharacteristic
1068C22×C4C2513yes—
1069C4⋊C4—26no—
1070C4⋊C4—26no—
1071C4⋊C4—26no—
1072C4⋊C4—26no—
1073C4⋊C4—212no—
1074C4⋊C4—26no—
1075C4⋊C4—26no—
1076C4⋊C4—26no—
1077C4⋊C4—26no—
1078C4⋊C4—26no—
1079C4⋊C4—26no—
1080C4⋊C4—26no—
1081C4⋊C4—26no—
1082C4⋊C4—26no—
1083C4⋊C4—26no—
1084C4⋊C4—22no—
1085C4⋊C4—43no—
1086C4⋊C4—46no—
1087C4⋊C4—41no—
1088C4⋊C4—43no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—43no—
1092C4⋊C4—43no—
1093C4⋊C4—43no—
1094C4⋊C4—43no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—43no—
1098C4⋊C4—43no—
1099C4⋊C4—43no—
1100C4⋊C4—41no—
1101C4⋊C4—43no—
1102C4⋊C4—43no—
1103C4⋊C4—43no—
1104C4⋊C4—46no—
1105C4⋊C4—46no—
1106C4⋊C4—43no—
1107C4⋊C4—46no—
1108C4⋊C4—43no—
1109C4⋊C4—43no—
1110C4⋊C4—43no—
1111C4⋊C4—46no—
1112C4⋊C4—43no—
1113C22⋊C4—22no—
1114C22⋊C4—26no—
1115C22⋊C4—26no—
1116C22⋊C4—22no—
1117C22⋊C4—26no—
1118C22⋊C4—26no—
1119C22⋊C4—212no—
1120C22⋊C4—22no—
1121C22⋊C4—26no—
1122C22⋊C4—43no—
1123C22⋊C4—43no—
1124C22⋊C4—41no—
1125C22⋊C4—41no—
1126C22⋊C4—43no—
1127C22⋊C4—46no—
1128C22⋊C4—43no—
1129C22⋊C4—43no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—43no—
1133C22⋊C4—43no—
1134C22⋊C4—43no—
1135C22⋊C4—43no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
1139C22⋊C4—43no—
1140C22⋊C4—43no—
1141C22⋊C4—43no—
1142C22⋊C4—43no—
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—46no—
1152C22⋊C4—46no—
1153C22⋊C4—46no—
1154C22⋊C4—43no—
1155C22⋊C4—43no—
1156C22⋊C4—46no—
1157C22⋊C4—46no—
1158C22⋊C4—46no—
1159C22⋊C4—46no—
1160C22⋊C4—46no—
1161C22⋊C4—43no—
1162C22⋊C4—46no—
1163C22⋊C4—46no—
1164C22⋊C4—43no—
1165C22⋊C4—46no—
1166C22⋊C4—43no—
1167C22⋊C4—43no—
1168C22⋊C4—43no—
1169C22⋊C4—43no—
1170C22⋊C4—46no—
1171C22⋊C4—43no—
1172C22⋊C4—43no—
1173C22⋊C4—43no—
1174C22⋊C4—43no—
1175C42—26no—
1176C42—26no—
1177C42—26no—
1178C42—26no—
1179C42—26no—
1180C42—26no—
1181C42—26no—
1182C42—26no—
1183C42—26no—
1184C42—26no—
1185C42—43no—
1186C42—43no—
1187C42—41no—
1188C42—46no—
1189C42—46no—
1190C42—43no—
1191C42—46no—
1192C42—43no—
1193C42—43no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—23no—
1207C23—23no—
1208C23—23no—
1209C23—23no—
1210C23—23no—
1211C23—23no—
1212C23—23no—
1213C23—23no—
1214C23—23no—
1215C23—23no—
1216C23—23no—
1217C23—23no—
1218C23—23no—
1219C23—23no—
1220C23—23no—
1221C23—23no—
1222C23—23no—
1223C23—23no—
1224C23—23no—
1225C23—23no—
1226C23—23no—
1227C23—412no—
1228C23—86no—
1229C23—86no—
1230C23—86no—
1231C23—86no—
1232C23—86no—
1233C23—86no—
1234C23C22×#4112yes—
1235C23#58512yes—
1236C23C2611yescharacteristic
1237Q8—224no—
1238Q8—412no—
1239Q8—86no—
1240Q8#538116yes—
1241D4—424no—
1242D4—44no—
1243D4—412no—
1244D4—412no—
1245D4—412no—
1246D4—86no—
1247D4—86no—
1248D4—86no—
1249D4—86no—
1250D4—86no—
1251D4—86no—
1252D4—166no—
1253D4—166no—
1254C2×C4—21no—
1255C2×C4—23no—
1256C2×C4—23no—
1257C2×C4—21no—
1258C2×C4—224no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—23no—
1262C2×C4—23no—
1263C2×C4—21no—
1264C2×C4—23no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—23no—
1275C2×C4—23no—
1276C2×C4—23no—
1277C2×C4—23no—
1278C2×C4—23no—
1279C2×C4—23no—
1280C2×C4—23no—
1281C2×C4—23no—
1282C2×C4—23no—
1283C2×C4—23no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—23no—
1293C2×C4—23no—
1294C2×C4—23no—
1295C2×C4—23no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—23no—
1299C2×C4—23no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—23no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—23no—
1306C2×C4—23no—
1307C2×C4—23no—
1308C2×C4—21no—
1309C2×C4—23no—
1310C2×C4—23no—
1311C2×C4—23no—
1312C2×C4—23no—
1313C2×C4—23no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—23no—
1317C2×C4—23no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—23no—
1322C2×C4—23no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—23no—
1327C2×C4—21no—
1328C2×C4—44no—
1329C2×C4—412no—
1330C2×C4—412no—
1331C2×C4—44no—
1332C2×C4—412no—
1333C2×C4—412no—
1334C2×C4—412no—
1335C2×C4—412no—
1336C2×C4—86no—
1337C2×C4—166no—
1338C2×C4C22×#4116yes—
1339C2×C4C22×#4116yes—
1340C2×C4C2×H(5,𝔽2)16yes—
1341C2×C4C2×H(5,𝔽2)16yes—
1342C2×C4#58512yes—
1343C22—22no—
1344C22—22no—
1345C22—22no—
1346C22—22no—
1347C22—22no—
1348C22—22no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22—41no—
1356C22—41no—
1357C22—43no—
1358C22—43no—
1359C22—43no—
1360C22—43no—
1361C22—43no—
1362C22—43no—
1363C22—43no—
1364C22—43no—
1365C22—43no—
1366C22—43no—
1367C22—43no—
1368C22—43no—
1369C22—43no—
1370C22—43no—
1371C22—43no—
1372C22—43no—
1373C22—43no—
1374C22—43no—
1375C22—43no—
1376C22—43no—
1377C22—43no—
1378C22—824no—
1379C22C23×#4111yescharacteristic
1380C22C22×H(5,𝔽2)11yescharacteristic
1381C22C22×H(5,𝔽2)11yescharacteristic
1382C22C2×#58511yescharacteristic
1383C22C2×#58511yescharacteristic
1384C22H(7,𝔽2)11yescharacteristic
1385C222−1+611yescharacteristic
1386C4—22no—
1387C4—26no—
1388C4—41no—
1389C4—41no—
1390C4—43no—
1391C4—43no—
1392C4—41no—
1393C4—43no—
1394C4—43no—
1395C4—41no—
1396C4—41no—
1397C4—43no—
1398C4—43no—
1399C4—43no—
1400C4—43no—
1401C4—43no—
1402C4—41no—
1403C4—41no—
1404C4—41no—
1405C4—43no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—43no—
1411C4C2×#538112yes—
1412C2—42no—
1413C2—42no—
1414C2—83no—
1415C2—83no—
1416C2—83no—
1417C2C22×#53811yescharacteristic
1418C2#6289911yescharacteristic
1419C2#6292211yescharacteristic
1420C2#6300511yescharacteristic
1421C2#6300611yescharacteristic
1422C2#6302011yescharacteristic
1423C2#6305211yescharacteristic
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. #52243C2semidirect
2. #42982C2semidirect
3. #42976C2semidirect
4. #42903C2semidirect
5. #42858C2semidirect
6. #42855C2semidirect
7. #42835C2semidirect
8. #40221C2semidirect
9. #40125C2semidirect
10. #39935C2semidirect
11. #39910C2semidirect
12. #39227C2semidirect
13. #39218C2semidirect
14. #37365C2semidirect
15. #37331C2semidirect
16. #37282C2semidirect
17. #36578C2semidirect
18. #36576C2semidirect
19. #36467C2semidirect
20. #36458C2semidirect
21. #36429C2semidirect
22. #36428C2semidirect
23. #36076C2semidirect
24. #36049C2semidirect
25. #35898C2semidirect
26. #35845C2semidirect
27. #35831C2semidirect
28. #35771C2semidirect
29. #34312C2semidirect
30. #34291C2semidirect
31. #34174C2semidirect
33. C2×#557C22semidirect
40. C2×#548C22semidirect
41. C2×#520C22semidirect
44. C22×C4×Q8C22semidirect
45. #2861C22semidirect
46. #2860C22semidirect
47. #2856C22semidirect
48. #2854C22semidirect
51. #2830C22semidirect
52. #2829C22semidirect
53. #2803C22semidirect
54. #2803C22semidirect
55. #2803C22semidirect
56. #2800C22semidirect
57. #2797C22semidirect
58. #2788C22semidirect
59. #2786C22semidirect
60. #2784C22semidirect
61. #2781C22semidirect
62. #2780C22semidirect
63. #2779C22semidirect
64. #2778C22semidirect
65. #2770C22semidirect
68. #2750C22semidirect
74. #2727C22semidirect
75. #2715C22semidirect
76. #2714C22semidirect
78. #2695C22semidirect
79. #2686C22semidirect
85. #2682C22semidirect
88. #2662C22semidirect
89. #2652C22semidirect
90. #2649C22semidirect
91. #2648C22semidirect
92. #2648C22semidirect
93. #2648C22semidirect
94. #2644C22semidirect
95. #2641C22semidirect
97. #2624C22semidirect
99. #2620C22semidirect
100. #2592C22semidirect
101. #2587C22semidirect
102. #2581C22semidirect
103. #2578C22semidirect
104. #2576C22semidirect
105. #2567C22semidirect
106. #2562C22semidirect
107. #2562C22semidirect
108. #2559C22semidirect
109. #2555C22semidirect
110. #2554C22semidirect
111. #2548C22semidirect
112. #2548C22semidirect
113. #2545C22semidirect
114. #2544C22semidirect
115. #2538C22semidirect
116. #2538C22semidirect
117. #2537C22semidirect
118. #2513C22semidirect
119. #2513C22semidirect
120. #2512C22semidirect
121. #2512C22semidirect
122. #2512C22semidirect
123. #2512C22semidirect
124. #2504C22semidirect
125. #2504C22semidirect
126. #2497C22semidirect
127. #2497C22semidirect
128. #2496C22semidirect
129. #2496C22semidirect
130. #2495C22semidirect
131. #2494C22semidirect
132. #2492C22semidirect
133. #2491C22semidirect
134. #2491C22semidirect
135. #2491C22semidirect
136. #2490C22semidirect
137. #2490C22semidirect
138. #2490C22semidirect
139. #2489C22semidirect
140. #2487C22semidirect
141. #2486C22semidirect
142. #2453C22semidirect
143. #2453C22semidirect
144. #2448C22semidirect
145. #2448C22semidirect
146. #2445C22semidirect
147. #2445C22semidirect
156. #2429C22semidirect
157. #2428C22semidirect
158. #2427C22semidirect
159. #2426C22semidirect
160. #2426C22semidirect
161. #2426C22semidirect
162. #2421C22semidirect
163. #2421C22semidirect
164. #2420C22semidirect
165. #2420C22semidirect
166. #2417C22semidirect
167. #2416C22semidirect
168. #2416C22semidirect
169. #2416C22semidirect
178. #2401C22semidirect
179. #2398C22semidirect
181. #2395C22semidirect
183. #2392C22semidirect
184. #2367C22semidirect
185. #2365C22semidirect
188. #2360C22semidirect
189. #2360C22semidirect
192. #2351C22semidirect
193. #2351C22semidirect
194. #2351C22semidirect
195. Q8×C4⋊C4C22semidirect
196. Q8×C4⋊C4C22semidirect
197. Q8×C4⋊C4C22semidirect
210. #2341C22semidirect
211. #2341C22semidirect
214. Q8×C22⋊C4C22semidirect
215. Q8×C22⋊C4C22semidirect
216. #2335C22semidirect
217. #2333C22semidirect
218. #2327C22semidirect
221. #2323C22semidirect
224. C4×#126C22semidirect
225. C4×#124C22semidirect
226. C4×#124C22semidirect
227. C4×C22⋊Q8C22semidirect
228. C4×#123C22semidirect
229. C4×#121C22semidirect
236. #2276C22semidirect
237. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#522432
#429822
#429762
#429032
#428582
#428552
#428352
#402212
#401252
#399352
#399102
#392272
#392182
#373652
#373312
#372822
#365782
#365762
#364672
#364582
#364292
#364282
#360762
#360492
#358982
#358452
#358312
#357712
#343122
#342912
#341742