Finite Group Databasebeta

← #7654995

Subgroups — #7654995

Order 512.

6049 conjugacy classes of subgroups.

The subgroup lattice has 1461 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42976C213yesmaximal, complemented
2#42974C213yesmaximal, complemented
3#42945C213yesmaximal, complemented
4#42920C213yesmaximal, complemented
5#40176C213yesmaximal, complemented
6#40169C213yesmaximal, complemented
7#40053C213yesmaximal, complemented
8#40049C213yesmaximal, complemented
9#39408C213yesmaximal, complemented
10#39396C213yesmaximal, complemented
11#39030C213yesmaximal, complemented
12#39024C213yesmaximal, complemented
13#37512C213yesmaximal, complemented
14#36583C211yesmaximal, characteristic, complemented
15#36576C211yesmaximal, characteristic, complemented
16#36483C211yesmaximal, characteristic, complemented
17#36467C211yesmaximal, characteristic, complemented
18#36458C211yesmaximal, characteristic, complemented
19#36458C211yesmaximal, characteristic, complemented
20#36433C211yesmaximal, characteristic, complemented
21#36430C211yesmaximal, characteristic, complemented
22#36091C211yesmaximal, characteristic, complemented
23#36082C211yesmaximal, characteristic, complemented
24#35831C211yesmaximal, characteristic, complemented
25#35816C211yesmaximal, characteristic, complemented
26#35025C213yesmaximal, complemented
27#35007C213yesmaximal, complemented
28#34962C213yesmaximal, complemented
29#34258C211yesmaximal, characteristic, complemented
30C4×#550C211yesmaximal, characteristic, complemented
31C4×#548C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C2×#557C2211yescharacteristic, complemented
34C2×#550C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#548C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#548C2211yescharacteristic, complemented
41C2×#538C2216yescomplemented
42C2×#520C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic, complemented
45C22×C4×Q8C2211yescharacteristic, complemented
46#2861C2213yescomplemented
47#2860C2213yescomplemented
48#2860C2213yescomplemented
49#2858C2213yescomplemented
50#2856C2213yescomplemented
51#2854C2213yescomplemented
52#2854C2213yescomplemented
53#2850C2213yescomplemented
54#2831C2216yescomplemented
55#2829C2216yescomplemented
56#2797C2216yescomplemented
57#2779C2216yescomplemented
58#2756C2216yescomplemented
59#2749C2216yescomplemented
60#2735C2216yescomplemented
61#2730C2216yescomplemented
62#2703C2216yescomplemented
63#2702C2216yescomplemented
64#2697C2216yescomplemented
65#2697C2216yescomplemented
66#2688C2216yescomplemented
67#2685C2216yescomplemented
68#2685C2216yescomplemented
69#2685C2216yescomplemented
70#2684C2216yescomplemented
71#2678C2216yescomplemented
72#2662C2216yescomplemented
73#2661C2216yescomplemented
74#2651C2216yescomplemented
75#2648C2216yescomplemented
76#2648C2216yescomplemented
77#2648C2216yescomplemented
78#2636C2216yescomplemented
79#2630C2216yescomplemented
80#2629C2213yescomplemented
81#2620C2213yescomplemented
82#2616C2213yes—
83#2615C2213yes—
84#2593C2213yescomplemented
85#2592C2213yescomplemented
86#2586C2213yescomplemented
87#2574C2213yescomplemented
88#2574C2211yescharacteristic, complemented
89#2572C2213yescomplemented
90#2566C2213yescomplemented
91#2562C2213yescomplemented
92#2555C2213yescomplemented
93#2554C2216yescomplemented
94#2554C2213yescomplemented
95#2554C2213yescomplemented
96#2548C2213yescomplemented
97#2548C2213yescomplemented
98#2547C2213yescomplemented
99#2544C2213yescomplemented
100#2544C2213yescomplemented
101#2538C2213yescomplemented
102#2538C2213yescomplemented
103#2537C2213yescomplemented
104#2535C2213yescomplemented
105#2518C2213yescomplemented
106#2518C2213yescomplemented
107#2513C2213yescomplemented
108#2513C2213yescomplemented
109#2512C2213yescomplemented
110#2512C2213yescomplemented
111#2512C2213yescomplemented
112#2512C2213yescomplemented
113#2501C2213yescomplemented
114#2500C2213yescomplemented
115#2497C2213yescomplemented
116#2497C2213yescomplemented
117#2496C2213yescomplemented
118#2496C2213yescomplemented
119#2495C2213yescomplemented
120#2495C2213yescomplemented
121#2492C2213yescomplemented
122#2491C2213yescomplemented
123#2490C2213yescomplemented
124#2490C2213yescomplemented
125#2490C2213yescomplemented
126#2490C2213yescomplemented
127#2490C2213yescomplemented
128#2489C2213yescomplemented
129#2486C2213yescomplemented
130#2485C2213yescomplemented
131#2480C2216yescomplemented
132#2472C2216yescomplemented
133#2467C2213yescomplemented
134#2467C2213yescomplemented
135#2459C2213yescomplemented
136#2459C2213yescomplemented
137#2456C2213yescomplemented
138#2456C2213yescomplemented
139#2454C2213yescomplemented
140#2452C2213yescomplemented
141#2448C2213yescomplemented
142#2448C2213yescomplemented
143#2445C2213yescomplemented
144#2445C2213yescomplemented
145#2442C2213yescomplemented
146#2440C2213yescomplemented
147#2435C2213yes—
148#2435C2213yes—
149#2435C2213yes—
150#2433C2213yes—
151#2433C2213yes—
152#2433C2213yes—
153#2428C2213yescomplemented
154#2428C2213yescomplemented
155#2427C2213yescomplemented
156#2427C2213yescomplemented
157#2426C2213yescomplemented
158#2426C2213yescomplemented
159#2424C2216yescomplemented
160#2423C2213yescomplemented
161#2423C2213yescomplemented
162#2422C2213yescomplemented
163#2420C2213yescomplemented
164#2418C2216yescomplemented
165#2417C2213yescomplemented
166#2416C2213yescomplemented
167#2416C2213yescomplemented
168#2416C2213yescomplemented
169#2415C2213yescomplemented
170#2414C2213yescomplemented
171#2408C2213yes—
172#2408C2213yes—
173#2408C2213yes—
174#2408C2213yes—
175#2408C2213yes—
176#2408C2213yes—
177#2396C2213yescomplemented
178#2392C2213yescomplemented
179#2388C2213yes—
180#2388C2213yes—
181#2367C2213yescomplemented
182#2366C2213yescomplemented
183#2363C2213yescomplemented
184#2363C2213yescomplemented
185#2362C2213yescomplemented
186#2361C2213yescomplemented
187#2354C2213yescomplemented
188#2352C2213yescomplemented
189#2351C2211yescharacteristic, complemented
190#2351C2211yescharacteristic, complemented
191Q8×C4⋊C4C2211yescharacteristic, complemented
192Q8×C4⋊C4C2211yescharacteristic, complemented
193Q8×C4⋊C4C2211yescharacteristic, complemented
194Q8×C4⋊C4C2211yescharacteristic, complemented
195#2341C2211yescharacteristic
196#2341C2211yescharacteristic
197#2341C2211yescharacteristic
198#2341C2211yescharacteristic
199#2341C2211yescharacteristic
200#2341C2211yescharacteristic
201#2341C2211yescharacteristic
202#2341C2211yescharacteristic
203#2341C2211yescharacteristic
204#2341C2211yescharacteristic
205#2341C2211yescharacteristic, complemented
206#2341C2211yescharacteristic, complemented
207Q8×C22⋊C4C2211yescharacteristic, complemented
208Q8×C22⋊C4C2211yescharacteristic, complemented
209D4×C22⋊C4C2213yes—
210D4×C22⋊C4C2213yes—
211D4×C22⋊C4C2213yes—
212D4×C22⋊C4C2213yes—
213#2321C2216yescomplemented
214#2321C2216yescomplemented
215#2312C2216yescomplemented
216#2311C2213yes—
217#2309C2213yes—
218C4×#127C2213yescomplemented
219C4×#126C2213yescomplemented
220C4×#126C2213yescomplemented
221C4×#124C2213yescomplemented
222C4×#124C2213yescomplemented
223C4×#124C2213yescomplemented
224C4×C22⋊Q8C2213yescomplemented
225C4×#123C2213yescomplemented
226C4×#123C2213yescomplemented
227C4×#121C2213yescomplemented
228C4×#121C2213yescomplemented
229C4×#121C2213yescomplemented
230C4×#121C2213yescomplemented
231C4×#121C2213yescomplemented
232#2297C2213yes—
233C2×#390C2213yes—
234C42×Q8C2211yescharacteristic, complemented
235C42×Q8C2211yescharacteristic, complemented
236C42×D4C2213yescomplemented
237C42×D4C2213yescomplemented
238C2×H(5,𝔽2)—28no—
239C2×H(5,𝔽2)—44no—
240C2×H(5,𝔽2)—44no—
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C22×#41C2311yescharacteristic
244C22×#41C2311yescharacteristic
245C22×#41C2313yes—
246C23×Q8C2311yescharacteristic
247C23×D4C2313yes—
248C23×D4C2313yes—
249C23×D4C2313yes—
250#557—44no—
251#550—28no—
252#550—44no—
253#550—44no—
254#548—28no—
255#548—44no—
256#548—44no—
257#548—44no—
258#538—424no—
259C2×C4⋊Q8C2313yes—
260C2×#127C2313yes—
261C2×#127C2313yes—
262C2×#127C2313yes—
263C2×#126C2313yes—
264C2×#126C2313yes—
265C2×#126C2316yes—
266C2×#126C2316yes—
267C2×#125C2313yes—
268C2×#125C2313yes—
269C2×#124C2313yes—
270C2×#124C2313yes—
271C2×#124C2313yes—
272C2×#124C2313yes—
273C2×#124C2313yes—
274C2×#124C2316yes—
275C2×#124C2313yes—
276C2×#123C2316yes—
277C2×#123C2316yes—
278C2×#123C2313yes—
279C2×#123C2313yes—
280C2×C22⋊Q8C2313yes—
281C2×C22⋊Q8C2313yes—
282C2×C22⋊Q8C2313yes—
283C2×C22⋊Q8C2313yes—
284C2×C22⋊Q8C2316yes—
285C2×#121C2313yes—
286C2×#121C2313yes—
287C2×#121C2313yes—
288C2×#121C2313yes—
289C2×#121C2313yes—
290C2×#121C2313yes—
291C2×#121C2313yes—
292C2×#121C2313yes—
293C2×#121C2316yes—
294C2×#121C2313yes—
295C2×#121C2313yes—
296C2×#121C2313yes—
297C2×#121C2313yes—
298C2×#121C2316yes—
299C2×#120C2316yes—
300C2×#120C2316yes—
301C2×#120C2316yes—
302C2×#120C2316yes—
303#520—44no—
304C4×#41—44no—
305C4×#41—44no—
306C2×C4×Q8—44no—
307C2×C4×Q8C2311yescharacteristic
308C2×C4×Q8C2311yescharacteristic
309C2×C4×Q8C2311yescharacteristic
310C2×C4×Q8C2311yescharacteristic
311C2×C4×Q8C2311yescharacteristic
312C2×C4×Q8C2311yescharacteristic
313C2×C4×Q8C2311yescharacteristic
314C2×C4×Q8C2311yescharacteristic
315C2×C4×Q8C2311yescharacteristic
316C2×C4×Q8C2311yescharacteristic
317C2×C4×Q8C2313yes—
318C2×C4×Q8C2313yes—
319C2×C4×Q8C2313yes—
320C2×C4×D4C2313yes—
321C2×C4×D4C2313yes—
322C2×C4×D4C2313yes—
323C2×C4×D4C2313yes—
324C2×C4×D4C2316yes—
325C2×C4×D4C2313yes—
326C2×C4×D4C2313yes—
327C2×C4×D4C2313yes—
328C2×C4×D4C2313yes—
329C2×C4×D4C2313yes—
330C2×C4×D4C2313yes—
331C2×C4×D4C2313yes—
332C2×C4×D4C2313yes—
333C2×C4×D4C2313yes—
334C2×C4×D4C2313yes—
335C2×C4×D4C2313yes—
336C2×C4×D4C2313yes—
337C2×C4×D4C2313yes—
338C2×#117C2313yes—
339C2×#117C2313yes—
340C2×#117C2313yes—
341C22×C4⋊C4C2313yes—
342C22×C4⋊C4C2313yes—
343C22×C22⋊C4C2316yes—
344C22×C22⋊C4C2316yes—
345C22×C42C2313yes—
346C22×C42C2313yes—
347C22×C42C2313yes—
348#400C2316yes—
349#400C2313yes—
350#400C2316yes—
351#400C2316yes—
352#399C2316yes—
353#399C2316yes—
354#399C2313yes—
355#398C2313yes—
356#398C2311yescharacteristic
357#398C2316yes—
358#398C2316yes—
359#398C2313yes—
360#397C2316yes—
361#397C2316yes—
362#397C2316yes—
363#397C2316yes—
364#397C2316yes—
365#397C2313yes—
366#397C2316yes—
367#397C2316yes—
368#397C2316yes—
369#397C2316yes—
370#397C2316yes—
371#396C2313yes—
372#396C2316yes—
373#396C2313yes—
374#396C2316yes—
375#396C2311yescharacteristic
376#396C2316yes—
377#396C2316yes—
378#396C2316yes—
379#396C2316yes—
380#396C2313yes—
381#396C2316yes—
382#395C2313yes—
383#395C2311yescharacteristic
384#395C2313yes—
385#394C2316yes—
386#394C2313yes—
387#394C2316yes—
388#394C2316yes—
389#394C2316yes—
390#394C2316yes—
391#394C2316yes—
392#394C2313yes—
393#394C2313yes—
394#394C2316yes—
395#394C2316yes—
396#394C2316yes—
397#394C2316yes—
398#394C2313yes—
399#394C2313yes—
400#394C2313yes—
401#394C2313yes—
402#394C2313yes—
403#394C2313yes—
404#394C2316yes—
405#394C2316yes—
406#394C2316yes—
407#394C2316yes—
408#394C2316yes—
409#393C2311yescharacteristic
410#393C2313yes—
411#393C2316yes—
412#393C2313yes—
413#392C2316yes—
414#392C2316yes—
415#392C2316yes—
416#392C2313yes—
417#392C2313yes—
418#392C2313yes—
419#392C2313yes—
420#392C2313yes—
421#392C2313yes—
422#392C2313yes—
423#392C2316yes—
424#391C2313yes—
425#391C2311yescharacteristic
426#391C2313yes—
427#391C2313yes—
428#391C2313yes—
429#391C2313yes—
430#391C2313yes—
431#391C2313yes—
432#390C2313yes—
433#390C2313yes—
434#390C2316yes—
435#390C2316yes—
436#390C2313yes—
437#390C2316yes—
438#390C2313yes—
439#390C2313yes—
440#390C2313yes—
441#390C2313yes—
442#390C2313yes—
443#390C2313yes—
444#390C2316yes—
445#390C2316yes—
446#390C2316yes—
447#390C2316yes—
448#390C2313yes—
449#390C2313yes—
450#390C2313yes—
451#390C2313yes—
452#390C2313yes—
453#390C2313yes—
454#390C2313yes—
455#390C2313yes—
456#390C2313yes—
457#390C2313yes—
458#390C2313yes—
459#390C2313yes—
460#390C2313yes—
461#390C2313yes—
462#390C2313yes—
463#390C2313yes—
464#390C2313yes—
465#390C2313yes—
466#390C2313yes—
467#390C2313yes—
468#390C2313yes—
469#389C2313yes—
470#389C2313yes—
471#389C2313yes—
472#389C2313yes—
473#389C2313yes—
474#389C2313yes—
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#388C2313yes—
488#388C2313yes—
489#388C2313yes—
490#388C2316yes—
491#388C2313yes—
492#388C2313yes—
493#388C2316yes—
494#388C2316yes—
495#388C2316yes—
496#388C2316yes—
497#388C2316yes—
498#388C2313yes—
499#388C2316yes—
500#388C2313yes—
501#388C2313yes—
502#388C2311yescharacteristic
503#388C2311yescharacteristic
504#388C2313yes—
505#388C2316yes—
506#388C2316yes—
507#388C2316yes—
508#388C2316yes—
509#388C2316yes—
510#388C2313yes—
511#388C2313yes—
512#388C2313yes—
513#388C2313yes—
514#388C2316yes—
515#388C2316yes—
516#388C2316yes—
517#388C2316yes—
518#388C2313yes—
519#388C2313yes—
520#388C2313yes—
521#387C2311yescharacteristic
522#387C2311yescharacteristic
523#387C2313yes—
524#387C2313yes—
525#387C2313yes—
526#387C2313yes—
527#387C2316yes—
528#387C2313yes—
529#387C2311yescharacteristic
530#387C2313yes—
531#387C2313yes—
532#386C2316yes—
533#386C2316yes—
534#386C2313yes—
535#386C2313yes—
536#386C2313yes—
537#386C2316yes—
538#386C2316yes—
539#386C2316yes—
540#386C2316yes—
541#386C2316yes—
542#386C2313yes—
543#386C2313yes—
544#386C2313yes—
545#386C2313yes—
546#386C2313yes—
547#386C2316yes—
548#386C2316yes—
549#386C2316yes—
550#386C2313yes—
551#386C2313yes—
552#385C2316yes—
553#385C2316yes—
554#385C2313yes—
555#385C2311yescharacteristic
556#385C2316yes—
557#384C2313yes—
558#384C2313yes—
559#384C2313yes—
560#384C2313yes—
561#383C2313yes—
562#383C2313yes—
563#382C2313yes—
564#382C2313yes—
565#382C2311yescharacteristic
566#382C2313yes—
567#381C2313yes—
568#381C2313yes—
569#380C2313yes—
570#380C2313yes—
571#380C2313yes—
572#380C2313yes—
573#380C2313yes—
574#380C2313yes—
575#380C2313yes—
576#380C2316yes—
577#380C2316yes—
578#380C2313yes—
579#380C2311yescharacteristic
580#380C2313yes—
581#380C2313yes—
582#380C2313yes—
583#380C2313yes—
584#380C2313yes—
585#380C2313yes—
586#380C2313yes—
587#379C2316yes—
588#379C2316yes—
589#379C2316yes—
590#379C2316yes—
591#379C2316yes—
592#379C2316yes—
593C4×C4⋊C4C2313yes—
594C4×C4⋊C4C2313yes—
595C4×C4⋊C4C2313yes—
596C4×C4⋊C4C2313yes—
597C4×C4⋊C4C2313yes—
598C4×C4⋊C4C2313yes—
599C4×C4⋊C4C2313yes—
600C4×C4⋊C4C2311yescharacteristic
601C4×C4⋊C4C2313yes—
602C4×C4⋊C4C2313yes—
603C4×C4⋊C4C2313yes—
604C4×C4⋊C4C2313yes—
605C4×C4⋊C4C2313yes—
606C4×C4⋊C4C2313yes—
607C4×C4⋊C4C2313yes—
608C4×C4⋊C4C2313yes—
609C4×C22⋊C4C2313yes—
610C4×C22⋊C4C2313yes—
611C4×C22⋊C4C2313yes—
612C4×C22⋊C4C2313yes—
613C4×C22⋊C4C2313yes—
614C4×C22⋊C4C2313yes—
615C4×C22⋊C4C2313yes—
616C4×C22⋊C4C2316yes—
617C4×C22⋊C4C2313yes—
618C4×C22⋊C4C2313yes—
619C4×C22⋊C4C2311yescharacteristic
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—
631C4×C22⋊C4C2313yes—
632C43C2313yes—
633C43C2313yes—
634C25C2416yes—
635H(5,𝔽2)—464no—
636C2×#41—24no—
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—24no—
646C2×#41—24no—
647C2×#41—212no—
648C2×#41—46no—
649C2×#41—46no—
650C2×#41#4118yes—
651C22×Q8—24no—
652C22×Q8—24no—
653C22×Q8—24no—
654C22×Q8C2413yes—
655C22×Q8C2413yes—
656C22×Q8C2411yescharacteristic
657C22×Q8C2411yescharacteristic
658C22×D4—212no—
659C22×D4—212no—
660C22×D4—212no—
661C22×D4—46no—
662C22×D4—46no—
663C22×D4—46no—
664C22×D4—46no—
665C22×D4—46no—
666C22×D4—46no—
667C22×D4C2413yes—
668C22×D4C2413yes—
669C22×D4C2413yes—
670C22×D4C2413yes—
671C22×D4C2413yes—
672C22×D4C2413yes—
673C22×D4C2413yes—
674C22×D4C2413yes—
675C22×D4C2416yes—
676C22×D4C2413yes—
677C22×D4C2413yes—
678C22×D4C2413yes—
679C22×D4C2413yes—
680C22×D4C2413yes—
681C22×D4C2413yes—
682C22×D4C2416yes—
683C22×D4C2416yes—
684C23×C4C2413yes—
685C23×C4C2413yes—
686C23×C4C2413yes—
687C23×C4C2413yes—
688C23×C4C2411yescharacteristic
689C23×C4C2413yes—
690C23×C4C2413yes—
691C23×C4C2413yes—
692C23×C4C2413yes—
693C23×C4C2413yes—
694C23×C4C2416yes—
695C23×C4C2413yes—
696C4⋊Q8—46no—
697#127—212no—
698#127—46no—
699#127—46no—
700#126—412no—
701#126—412no—
702#126—46no—
703#126—46no—
704#125—46no—
705#125—46no—
706#124—212no—
707#124—212no—
708#124—46no—
709#124—412no—
710#124—46no—
711#124—46no—
712#124—46no—
713#123—46no—
714#123—412no—
715#123—412no—
716#123—46no—
717C22⋊Q8—212no—
718C22⋊Q8—412no—
719C22⋊Q8—46no—
720C22⋊Q8—46no—
721C22⋊Q8—46no—
722#121—212no—
723#121—212no—
724#121—212no—
725#121—212no—
726#121—46no—
727#121—412no—
728#121—46no—
729#121—46no—
730#121—46no—
731#121—46no—
732#121—46no—
733#121—46no—
734#121—46no—
735#121—412no—
736#120—412no—
737#120—412no—
738#120—412no—
739#120—412no—
740C4×Q8—24no—
741C4×Q8—24no—
742C4×Q8—24no—
743C4×Q8—24no—
744C4×Q8—24no—
745C4×Q8—24no—
746C4×Q8—24no—
747C4×Q8—24no—
748C4×Q8—24no—
749C4×Q8—24no—
750C4×Q8—46no—
751C4×Q8—46no—
752C4×Q8—46no—
753C4×D4—212no—
754C4×D4—212no—
755C4×D4—212no—
756C4×D4—46no—
757C4×D4—46no—
758C4×D4—46no—
759C4×D4—46no—
760C4×D4—46no—
761C4×D4—46no—
762C4×D4—46no—
763C4×D4—412no—
764C4×D4—46no—
765C4×D4—46no—
766C4×D4—46no—
767C4×D4—46no—
768C4×D4—46no—
769C4×D4—46no—
770C4×D4—46no—
771#117—46no—
772#117—46no—
773#117—46no—
774C2×C4⋊C4—46no—
775C2×C4⋊C4—46no—
776C2×C4⋊C4C2413yes—
777C2×C4⋊C4C2413yes—
778C2×C4⋊C4C2413yes—
779C2×C4⋊C4C2413yes—
780C2×C4⋊C4C2413yes—
781C2×C4⋊C4C2413yes—
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
784C2×C4⋊C4C2413yes—
785C2×C4⋊C4C2413yes—
786C2×C4⋊C4C2413yes—
787C2×C4⋊C4C2413yes—
788C2×C4⋊C4C2413yes—
789C2×C4⋊C4C2413yes—
790C2×C4⋊C4C2413yes—
791C2×C4⋊C4C2413yes—
792C2×C4⋊C4C2413yes—
793C2×C4⋊C4C2411yescharacteristic
794C2×C4⋊C4C2411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
796C2×C4⋊C4C2413yes—
797C2×C4⋊C4C2416yes—
798C2×C4⋊C4C2411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2413yes—
802C2×C4⋊C4C2413yes—
803C2×C4⋊C4C2413yes—
804C2×C4⋊C4C2416yes—
805C2×C4⋊C4C2411yescharacteristic
806C2×C4⋊C4C2413yes—
807C2×C4⋊C4C2413yes—
808C2×C4⋊C4C2416yes—
809C2×C4⋊C4C2416yes—
810C2×C4⋊C4C2413yes—
811C2×C4⋊C4C2416yes—
812C2×C4⋊C4C2413yes—
813C2×C4⋊C4C2416yes—
814C2×C4⋊C4C2413yes—
815C2×C4⋊C4C2413yes—
816C2×C22⋊C4—412no—
817C2×C22⋊C4—412no—
818C2×C22⋊C4C2413yes—
819C2×C22⋊C4C2413yes—
820C2×C22⋊C4C2413yes—
821C2×C22⋊C4C2413yes—
822C2×C22⋊C4C2411yescharacteristic
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⋊C4C2413yes—
834C2×C22⋊C4C2416yes—
835C2×C22⋊C4C2411yescharacteristic
836C2×C22⋊C4C2416yes—
837C2×C22⋊C4C2416yes—
838C2×C22⋊C4C2416yes—
839C2×C22⋊C4C2416yes—
840C2×C22⋊C4C2416yes—
841C2×C22⋊C4C2413yes—
842C2×C22⋊C4C2413yes—
843C2×C22⋊C4C2416yes—
844C2×C22⋊C4C2411yescharacteristic
845C2×C22⋊C4C2411yescharacteristic
846C2×C22⋊C4C2411yescharacteristic
847C2×C22⋊C4C2416yes—
848C2×C22⋊C4C2413yes—
849C2×C22⋊C4C2413yes—
850C2×C22⋊C4C2413yes—
851C2×C22⋊C4C2413yes—
852C2×C22⋊C4C2416yes—
853C2×C22⋊C4C2413yes—
854C2×C22⋊C4C2413yes—
855C2×C22⋊C4C2413yes—
856C2×C22⋊C4C2413yes—
857C2×C22⋊C4C2413yes—
858C2×C22⋊C4C2413yes—
859C2×C22⋊C4C2413yes—
860C2×C22⋊C4C2416yes—
861C2×C22⋊C4C2416yes—
862C2×C22⋊C4C2416yes—
863C2×C22⋊C4C2416yes—
864C2×C22⋊C4C2416yes—
865C2×C22⋊C4C2416yes—
866C2×C22⋊C4C2416yes—
867C2×C22⋊C4C2416yes—
868C2×C22⋊C4C2416yes—
869C2×C22⋊C4C2413yes—
870C2×C22⋊C4C2413yes—
871C2×C22⋊C4C2413yes—
872C2×C22⋊C4C2413yes—
873C2×C22⋊C4C2413yes—
874C2×C22⋊C4C2413yes—
875C2×C22⋊C4C2413yes—
876C2×C22⋊C4C2413yes—
877C2×C22⋊C4C2413yes—
878C2×C22⋊C4C2413yes—
879C2×C22⋊C4C2411yescharacteristic
880C2×C42—46no—
881C2×C42—46no—
882C2×C42—46no—
883C2×C42C2413yes—
884C2×C42C2413yes—
885C2×C42C2411yescharacteristic
886C2×C42C2413yes—
887C2×C42C2413yes—
888C2×C42C2413yes—
889C2×C42C2413yes—
890C2×C42C2413yes—
891C2×C42C2413yes—
892C2×C42C2413yes—
893C2×C42C2413yes—
894C2×C42C2413yes—
895C2×C42C2413yes—
896C2×C42C2411yescharacteristic
897C2×C42C2413yes—
898C2×C42C2413yes—
899C2×C42C2413yes—
900C2×C42C2413yes—
901C2×C42C2413yes—
902C2×C42C2413yes—
903C2×C42C2413yes—
904C2×C42C2413yes—
905C2×C42C2411yescharacteristic
906C2×C42C2411yescharacteristic
907#95C2411yescharacteristic
908#95C2411yescharacteristic
909#95C2411yescharacteristic
910#95C2411yescharacteristic
911#95C2411yescharacteristic
912#95C2411yescharacteristic
913#95C2411yescharacteristic
914#95C2411yescharacteristic
915#95C2411yescharacteristic
916#95C2411yescharacteristic
917#95C2411yescharacteristic
918#95C2411yescharacteristic
919#95C2411yescharacteristic
920#95C2413yes—
921#95C2413yes—
922#95C2413yes—
923#95C2413yes—
924#95C2413yes—
925#95C2413yes—
926#95C2413yes—
927#95C2413yes—
928#95C2413yes—
929#95C2413yes—
930#95C2413yes—
931#95C2413yes—
932#95C2413yes—
933#95C2413yes—
934#95C2413yes—
935#95C2413yes—
936#95C2413yes—
937#95C2416yes—
938#95C2416yes—
939#95C2413yes—
940#95C2413yes—
941#95C2416yes—
942#95C2411yescharacteristic
943#95C2416yes—
944#95C2413yes—
945#95C2413yes—
946#95C2413yes—
947#95C2413yes—
948#95C2413yes—
949#95C2413yes—
950#95C2413yes—
951#95C2416yes—
952#95C2416yes—
953C24—212no—
954C24—46no—
955C24—46no—
956C24—46no—
957C24—46no—
958C24—46no—
959C24—46no—
960C24C2513yes—
961C24C2513yes—
962C24C2513yes—
963C24C2513yes—
964C24C2511yescharacteristic
965#41—232no—
966#41—448no—
967#41—416no—
968#41—416no—
969#41—416no—
970C2×Q8—26no—
971C2×Q8—22no—
972C2×Q8—26no—
973C2×Q8—26no—
974C2×Q8—26no—
975C2×Q8—41no—
976C2×Q8—41no—
977C2×Q8—43no—
978C2×Q8—43no—
979C2×Q8—416no—
980C2×Q8C2×#4114yes—
981C2×Q8H(5,𝔽2)14yes—
982C2×Q8H(5,𝔽2)14yes—
983C2×D4—26no—
984C2×D4—26no—
985C2×D4—26no—
986C2×D4—26no—
987C2×D4—26no—
988C2×D4—212no—
989C2×D4—26no—
990C2×D4—26no—
991C2×D4—26no—
992C2×D4—26no—
993C2×D4—26no—
994C2×D4—26no—
995C2×D4—26no—
996C2×D4—26no—
997C2×D4—26no—
998C2×D4—26no—
999C2×D4—26no—
1000C2×D4—26no—
1001C2×D4—26no—
1002C2×D4—26no—
1003C2×D4—26no—
1004C2×D4—26no—
1005C2×D4—26no—
1006C2×D4—26no—
1007C2×D4—43no—
1008C2×D4—43no—
1009C2×D4—43no—
1010C2×D4—43no—
1011C2×D4—43no—
1012C2×D4—43no—
1013C2×D4—43no—
1014C2×D4—43no—
1015C2×D4—448no—
1016C2×D4—46no—
1017C2×D4—43no—
1018C2×D4—43no—
1019C2×D4—43no—
1020C2×D4—43no—
1021C2×D4—43no—
1022C2×D4—46no—
1023C2×D4—43no—
1024C2×D4—43no—
1025C2×D4—43no—
1026C2×D4—43no—
1027C2×D4—43no—
1028C2×D4—46no—
1029C2×D4—46no—
1030C2×D4—46no—
1031C2×D4—46no—
1032C2×D4—46no—
1033C2×D4—46no—
1034C2×D4—448no—
1035C2×D4—448no—
1036C2×D4C2×#41112yes—
1037C22×C4—26no—
1038C22×C4—26no—
1039C22×C4—26no—
1040C22×C4—26no—
1041C22×C4—26no—
1042C22×C4—26no—
1043C22×C4—26no—
1044C22×C4—26no—
1045C22×C4—26no—
1046C22×C4—26no—
1047C22×C4—26no—
1048C22×C4—26no—
1049C22×C4—26no—
1050C22×C4—26no—
1051C22×C4—26no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—26no—
1055C22×C4—26no—
1056C22×C4—26no—
1057C22×C4—41no—
1058C22×C4—43no—
1059C22×C4—43no—
1060C22×C4—43no—
1061C22×C4—43no—
1062C22×C4—43no—
1063C22×C4—43no—
1064C22×C4—43no—
1065C22×C4—43no—
1066C22×C4—43no—
1067C22×C4—43no—
1068C22×C4—43no—
1069C22×C4—46no—
1070C22×C4—46no—
1071C22×C4—46no—
1072C22×C4C2×#41112yes—
1073C22×C4C2511yescharacteristic
1074C22×C4C2511yescharacteristic
1075C22×C4C2511yescharacteristic
1076C22×C4C2511yescharacteristic
1077C22×C4C2513yes—
1078C22×C4C2513yes—
1079C22×C4C2513yes—
1080C22×C4C2511yescharacteristic
1081C22×C4C2513yes—
1082C22×C4C2513yes—
1083C22×C4C2513yes—
1084C22×C4C2513yes—
1085C22×C4C2513yes—
1086C22×C4C2511yescharacteristic
1087C22×C4C2513yes—
1088C22×C4C2511yescharacteristic
1089C22×C4C2511yescharacteristic
1090C22×C4C2513yes—
1091C22×C4C2513yes—
1092C22×C4C2511yescharacteristic
1093C22×C4C2511yescharacteristic
1094C22×C4C2511yescharacteristic
1095C22×C4C2511yescharacteristic
1096C22×C4C2511yescharacteristic
1097C22×C4C2511yescharacteristic
1098C22×C4C2513yes—
1099C4⋊C4—22no—
1100C4⋊C4—26no—
1101C4⋊C4—26no—
1102C4⋊C4—26no—
1103C4⋊C4—26no—
1104C4⋊C4—26no—
1105C4⋊C4—26no—
1106C4⋊C4—26no—
1107C4⋊C4—26no—
1108C4⋊C4—26no—
1109C4⋊C4—26no—
1110C4⋊C4—26no—
1111C4⋊C4—26no—
1112C4⋊C4—26no—
1113C4⋊C4—22no—
1114C4⋊C4—26no—
1115C4⋊C4—26no—
1116C4⋊C4—22no—
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4—43no—
1120C4⋊C4—46no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—43no—
1125C4⋊C4—43no—
1126C4⋊C4—43no—
1127C4⋊C4—46no—
1128C4⋊C4—41no—
1129C4⋊C4—43no—
1130C4⋊C4—43no—
1131C4⋊C4—43no—
1132C4⋊C4—46no—
1133C4⋊C4—46no—
1134C4⋊C4—46no—
1135C4⋊C4—43no—
1136C4⋊C4—46no—
1137C4⋊C4—43no—
1138C4⋊C4—43no—
1139C22⋊C4—26no—
1140C22⋊C4—26no—
1141C22⋊C4—212no—
1142C22⋊C4—26no—
1143C22⋊C4—22no—
1144C22⋊C4—26no—
1145C22⋊C4—26no—
1146C22⋊C4—26no—
1147C22⋊C4—26no—
1148C22⋊C4—26no—
1149C22⋊C4—26no—
1150C22⋊C4—26no—
1151C22⋊C4—26no—
1152C22⋊C4—26no—
1153C22⋊C4—26no—
1154C22⋊C4—26no—
1155C22⋊C4—26no—
1156C22⋊C4—22no—
1157C22⋊C4—46no—
1158C22⋊C4—46no—
1159C22⋊C4—46no—
1160C22⋊C4—46no—
1161C22⋊C4—43no—
1162C22⋊C4—43no—
1163C22⋊C4—46no—
1164C22⋊C4—46no—
1165C22⋊C4—43no—
1166C22⋊C4—43no—
1167C22⋊C4—43no—
1168C22⋊C4—43no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—46no—
1173C22⋊C4—43no—
1174C22⋊C4—43no—
1175C22⋊C4—43no—
1176C22⋊C4—43no—
1177C22⋊C4—46no—
1178C22⋊C4—43no—
1179C22⋊C4—43no—
1180C22⋊C4—43no—
1181C22⋊C4—46no—
1182C22⋊C4—46no—
1183C22⋊C4—46no—
1184C22⋊C4—46no—
1185C22⋊C4—46no—
1186C22⋊C4—46no—
1187C22⋊C4—46no—
1188C22⋊C4—46no—
1189C22⋊C4—46no—
1190C22⋊C4—43no—
1191C22⋊C4—43no—
1192C22⋊C4—43no—
1193C22⋊C4—43no—
1194C22⋊C4—43no—
1195C22⋊C4—43no—
1196C22⋊C4—43no—
1197C22⋊C4—43no—
1198C22⋊C4—43no—
1199C22⋊C4—43no—
1200C22⋊C4H(5,𝔽2)14yescomplemented
1201C42—26no—
1202C42—26no—
1203C42—26no—
1204C42—26no—
1205C42—26no—
1206C42—26no—
1207C42—26no—
1208C42—26no—
1209C42—26no—
1210C42—26no—
1211C42—26no—
1212C42—26no—
1213C42—22no—
1214C42—22no—
1215C42—41no—
1216C42—41no—
1217C42—43no—
1218C42—43no—
1219C42—43no—
1220C42—43no—
1221C42—43no—
1222C42—43no—
1223C42—43no—
1224C42—43no—
1225C23—21no—
1226C23—23no—
1227C23—21no—
1228C23—23no—
1229C23—23no—
1230C23—21no—
1231C23—21no—
1232C23—23no—
1233C23—21no—
1234C23—23no—
1235C23—23no—
1236C23—21no—
1237C23—23no—
1238C23—23no—
1239C23—23no—
1240C23—23no—
1241C23—23no—
1242C23—23no—
1243C23—23no—
1244C23—23no—
1245C23—23no—
1246C23—23no—
1247C23—23no—
1248C23—23no—
1249C23—23no—
1250C23—23no—
1251C23—23no—
1252C23—23no—
1253C23—23no—
1254C23—23no—
1255C23—23no—
1256C23—23no—
1257C23—23no—
1258C23—424no—
1259C23—812no—
1260C23—812no—
1261C23—166no—
1262C23—166no—
1263C23—166no—
1264C23—166no—
1265C23C22×#4116yes—
1266C23C2×H(5,𝔽2)12yes—
1267C23C2611yescharacteristic
1268Q8—44no—
1269Q8—412no—
1270Q8—86no—
1271Q8#538116yescomplemented
1272D4—224no—
1273D4—412no—
1274D4—412no—
1275D4—412no—
1276D4—412no—
1277D4—412no—
1278D4—412no—
1279D4—412no—
1280D4—412no—
1281D4—86no—
1282D4—86no—
1283D4—86no—
1284D4—86no—
1285D4—86no—
1286D4—812no—
1287D4—166no—
1288D4—166no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—224no—
1302C2×C4—21no—
1303C2×C4—23no—
1304C2×C4—23no—
1305C2×C4—21no—
1306C2×C4—23no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—23no—
1314C2×C4—23no—
1315C2×C4—23no—
1316C2×C4—23no—
1317C2×C4—23no—
1318C2×C4—23no—
1319C2×C4—23no—
1320C2×C4—23no—
1321C2×C4—23no—
1322C2×C4—23no—
1323C2×C4—23no—
1324C2×C4—23no—
1325C2×C4—21no—
1326C2×C4—23no—
1327C2×C4—23no—
1328C2×C4—23no—
1329C2×C4—23no—
1330C2×C4—23no—
1331C2×C4—23no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—23no—
1342C2×C4—23no—
1343C2×C4—23no—
1344C2×C4—23no—
1345C2×C4—23no—
1346C2×C4—23no—
1347C2×C4—23no—
1348C2×C4—23no—
1349C2×C4—21no—
1350C2×C4—23no—
1351C2×C4—23no—
1352C2×C4—23no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—23no—
1359C2×C4—44no—
1360C2×C4—412no—
1361C2×C4—412no—
1362C2×C4—412no—
1363C2×C4—412no—
1364C2×C4—86no—
1365C2×C4—86no—
1366C2×C4—86no—
1367C2×C4—86no—
1368C2×C4—86no—
1369C2×C4—166no—
1370C2×C4C22×#4112yes—
1371C2×C4C22×#4116yes—
1372C2×C4C2×H(5,𝔽2)12yes—
1373C2×C4C2×H(5,𝔽2)12yes—
1374C2×C4C2×H(5,𝔽2)16yes—
1375C2×C4C2×H(5,𝔽2)16yes—
1376C2×C4#58512yes—
1377C2×C4#58512yes—
1378C2×C4#58512yes—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—26no—
1383C22—26no—
1384C22—26no—
1385C22—43no—
1386C22—43no—
1387C22—41no—
1388C22—43no—
1389C22—41no—
1390C22—43no—
1391C22—41no—
1392C22—41no—
1393C22—43no—
1394C22—43no—
1395C22—43no—
1396C22—43no—
1397C22—43no—
1398C22—43no—
1399C22—43no—
1400C22—43no—
1401C22—43no—
1402C22—43no—
1403C22—43no—
1404C22—43no—
1405C22—43no—
1406C22—43no—
1407C22—43no—
1408C22—43no—
1409C22—43no—
1410C22—43no—
1411C22—43no—
1412C22—43no—
1413C22—43no—
1414C22—1624no—
1415C22C23×#4111yescharacteristic
1416C22C22×H(5,𝔽2)11yescharacteristic
1417C22C22×H(5,𝔽2)11yescharacteristic
1418C22C22×H(5,𝔽2)11yescharacteristic
1419C22C2×#58511yescharacteristic
1420C22C2×#58511yescharacteristic
1421C22C2×#58511yescharacteristic
1422C4—22no—
1423C4—22no—
1424C4—22no—
1425C4—22no—
1426C4—22no—
1427C4—22no—
1428C4—43no—
1429C4—43no—
1430C4—43no—
1431C4—43no—
1432C4—43no—
1433C4—43no—
1434C4—43no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—43no—
1440C4—43no—
1441C4—43no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—43no—
1447C4C2×#538112yes—
1448C2—42no—
1449C2—46no—
1450C2—83no—
1451C2—83no—
1452C2—83no—
1453C2C22×#53811yescharacteristic
1454C2#6280011yescharacteristic
1455C2#6281011yescharacteristic
1456C2#6301411yescharacteristic
1457C2#6301411yescharacteristic
1458C2#6302011yescharacteristic
1459C2#6303511yescharacteristic
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. #42976C2semidirect
2. #42974C2semidirect
3. #42945C2semidirect
4. #42920C2semidirect
5. #40176C2semidirect
6. #40169C2semidirect
7. #40053C2semidirect
8. #40049C2semidirect
9. #39408C2semidirect
10. #39396C2semidirect
11. #39030C2semidirect
12. #39024C2semidirect
13. #37512C2semidirect
14. #36583C2semidirect
15. #36576C2semidirect
16. #36483C2semidirect
17. #36467C2semidirect
18. #36458C2semidirect
19. #36458C2semidirect
20. #36433C2semidirect
21. #36430C2semidirect
22. #36091C2semidirect
23. #36082C2semidirect
24. #35831C2semidirect
25. #35816C2semidirect
26. #35025C2semidirect
27. #35007C2semidirect
28. #34962C2semidirect
29. #34258C2semidirect
30. C4×#550C2semidirect
31. C4×#548C2semidirect
33. C2×#557C22semidirect
40. C2×#548C22semidirect
41. C2×#538C22semidirect
44. C2×C4×#41C22semidirect
45. C22×C4×Q8C22semidirect
46. #2861C22semidirect
47. #2860C22semidirect
48. #2860C22semidirect
49. #2858C22semidirect
50. #2856C22semidirect
51. #2854C22semidirect
52. #2854C22semidirect
53. #2850C22semidirect
54. #2831C22semidirect
55. #2829C22semidirect
56. #2797C22semidirect
57. #2779C22semidirect
58. #2756C22semidirect
59. #2749C22semidirect
60. #2735C22semidirect
61. #2730C22semidirect
62. #2703C22semidirect
63. #2702C22semidirect
64. #2697C22semidirect
65. #2697C22semidirect
66. #2688C22semidirect
67. #2685C22semidirect
68. #2685C22semidirect
69. #2685C22semidirect
70. #2684C22semidirect
71. #2678C22semidirect
72. #2662C22semidirect
73. #2661C22semidirect
74. #2651C22semidirect
75. #2648C22semidirect
76. #2648C22semidirect
77. #2648C22semidirect
78. #2636C22semidirect
79. #2630C22semidirect
80. #2629C22semidirect
81. #2620C22semidirect
84. #2593C22semidirect
85. #2592C22semidirect
86. #2586C22semidirect
87. #2574C22semidirect
88. #2574C22semidirect
89. #2572C22semidirect
90. #2566C22semidirect
91. #2562C22semidirect
92. #2555C22semidirect
93. #2554C22semidirect
94. #2554C22semidirect
95. #2554C22semidirect
96. #2548C22semidirect
97. #2548C22semidirect
98. #2547C22semidirect
99. #2544C22semidirect
100. #2544C22semidirect
101. #2538C22semidirect
102. #2538C22semidirect
103. #2537C22semidirect
104. #2535C22semidirect
105. #2518C22semidirect
106. #2518C22semidirect
107. #2513C22semidirect
108. #2513C22semidirect
109. #2512C22semidirect
110. #2512C22semidirect
111. #2512C22semidirect
112. #2512C22semidirect
113. #2501C22semidirect
114. #2500C22semidirect
115. #2497C22semidirect
116. #2497C22semidirect
117. #2496C22semidirect
118. #2496C22semidirect
119. #2495C22semidirect
120. #2495C22semidirect
121. #2492C22semidirect
122. #2491C22semidirect
123. #2490C22semidirect
124. #2490C22semidirect
125. #2490C22semidirect
126. #2490C22semidirect
127. #2490C22semidirect
128. #2489C22semidirect
129. #2486C22semidirect
130. #2485C22semidirect
131. #2480C22semidirect
132. #2472C22semidirect
133. #2467C22semidirect
134. #2467C22semidirect
135. #2459C22semidirect
136. #2459C22semidirect
137. #2456C22semidirect
138. #2456C22semidirect
139. #2454C22semidirect
140. #2452C22semidirect
141. #2448C22semidirect
142. #2448C22semidirect
143. #2445C22semidirect
144. #2445C22semidirect
145. #2442C22semidirect
146. #2440C22semidirect
153. #2428C22semidirect
154. #2428C22semidirect
155. #2427C22semidirect
156. #2427C22semidirect
157. #2426C22semidirect
158. #2426C22semidirect
159. #2424C22semidirect
160. #2423C22semidirect
161. #2423C22semidirect
162. #2422C22semidirect
163. #2420C22semidirect
164. #2418C22semidirect
165. #2417C22semidirect
166. #2416C22semidirect
167. #2416C22semidirect
168. #2416C22semidirect
169. #2415C22semidirect
170. #2414C22semidirect
177. #2396C22semidirect
178. #2392C22semidirect
181. #2367C22semidirect
182. #2366C22semidirect
183. #2363C22semidirect
184. #2363C22semidirect
185. #2362C22semidirect
186. #2361C22semidirect
187. #2354C22semidirect
188. #2352C22semidirect
189. #2351C22semidirect
190. #2351C22semidirect
191. Q8×C4⋊C4C22semidirect
192. Q8×C4⋊C4C22semidirect
193. Q8×C4⋊C4C22semidirect
194. Q8×C4⋊C4C22semidirect
205. #2341C22semidirect
206. #2341C22semidirect
207. Q8×C22⋊C4C22semidirect
208. Q8×C22⋊C4C22semidirect
213. #2321C22semidirect
214. #2321C22semidirect
215. #2312C22semidirect
218. C4×#127C22semidirect
219. C4×#126C22semidirect
220. C4×#126C22semidirect
221. C4×#124C22semidirect
222. C4×#124C22semidirect
223. C4×#124C22semidirect
224. C4×C22⋊Q8C22semidirect
225. C4×#123C22semidirect
226. C4×#123C22semidirect
227. C4×#121C22semidirect
228. C4×#121C22semidirect
229. C4×#121C22semidirect
230. C4×#121C22semidirect
231. C4×#121C22semidirect
234. C42×Q8C22semidirect
235. C42×Q8C22semidirect
236. C42×D4C22semidirect
237. C42×D4C22semidirect
1200. C22⋊C4H(5,𝔽2)semidirect
1271. Q8#538semidirect

Maximal subgroups

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

subgroupindex
#429762
#429742
#429452
#429202
#401762
#401692
#400532
#400492
#394082
#393962
#390302
#390242
#375122
#365832
#365762
#364832
#364672
#364582
#364332
#364302
#360912
#360822
#358312
#358162
#350252
#350072
#349622
#342582
C4×#5502
C4×#5482