Finite Group Databasebeta

← #7632349

Subgroups — #7632349

Order 512.

8672 conjugacy classes of subgroups.

The subgroup lattice has 1550 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C22×#520C211yesmaximal, characteristic, complemented
3#36581C213yesmaximal, complemented
4#36576C211yesmaximal, characteristic, complemented
5#36440C213yesmaximal, complemented
6#36435C211yesmaximal, characteristic, complemented
7#36429C211yesmaximal, characteristic, complemented
8#36429C211yesmaximal, characteristic, complemented
9#36103C213yesmaximal, complemented
10#36101C213yesmaximal, complemented
11#36076C211yesmaximal, characteristic, complemented
12#36029C211yesmaximal, characteristic, complemented
13#36005C211yesmaximal, characteristic, complemented
14#35816C211yesmaximal, characteristic, complemented
15#35793C213yesmaximal, complemented
16#35763C213yesmaximal, complemented
17#35715C213yesmaximal, complemented
18#35704C213yesmaximal, complemented
19#35601C213yesmaximal, complemented
20#35600C213yesmaximal, complemented
21#35534C213yesmaximal, complemented
22#35521C213yesmaximal, complemented
23#35261C213yesmaximal, complemented
24#35226C213yesmaximal, complemented
25#34740C213yesmaximal, complemented
26#34681C213yesmaximal, complemented
27#34313C211yesmaximal, characteristic, complemented
28#34295C211yesmaximal, characteristic, complemented
29#34294C211yesmaximal, characteristic, complemented
30#34263C211yesmaximal, characteristic, complemented
31C4×#548C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33#3517—216no—
34C2×#557C2211yescharacteristic, complemented
35C2×#553C2213yescomplemented
36C2×#553C2213yescomplemented
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×#550C2213yescomplemented
42C2×#550C2211yescharacteristic, complemented
43C2×#548C2211yescharacteristic
44C2×#548C2211yescharacteristic
45C2×#547C2213yescomplemented
46C2×#540C2213yescomplemented
47C2×#540C2213yescomplemented
48C2×#532C2213yescomplemented
49C2×#529C2213yescomplemented
50C2×#525C2216yes—
51C2×#520—216no—
52C2×#520C2211yescharacteristic
53C2×#520C2213yes—
54C2×#520C2213yes—
55C2×#520C2213yes—
56C2×#520C2211yescharacteristic
57C2×#520C2211yescharacteristic
58C2×#520C2213yes—
59C2×#520C2211yescharacteristic
60C2×#520C2211yescharacteristic, complemented
61C2×C4×#41C2211yescharacteristic, complemented
62C22×C4×Q8C2211yescharacteristic
63C22×C4×Q8C2211yescharacteristic
64C22×C4×D4C2213yes—
65C22×C4×D4C2213yes—
66C22×#117C2213yes—
67C23×C4⋊C4C2213yes—
68#2856C2213yes—
69#2851C2213yes—
70#2849C2216yes—
71#2847C2216yes—
72#2847C2213yes—
73#2847C2213yes—
74#2635C2216yescomplemented
75#2630C2216yescomplemented
76#2629C2213yescomplemented
77#2624C2213yescomplemented
78#2624C2213yescomplemented
79#2619C2213yescomplemented
80#2602C2216yescomplemented
81#2600C2216yescomplemented
82#2591C2216yescomplemented
83#2581C2213yescomplemented
84#2579C2216yescomplemented
85#2566C2213yescomplemented
86#2565C2213yescomplemented
87#2548C2213yescomplemented
88#2541C2213yescomplemented
89#2538C2213yescomplemented
90#2538C2213yescomplemented
91#2535C2213yescomplemented
92#2504C2213yescomplemented
93#2501C2213yescomplemented
94#2487C2213yescomplemented
95#2486C2213yescomplemented
96#2481C2213yes—
97#2481C2216yescomplemented
98#2480C2213yes—
99#2479C2213yescomplemented
100#2478C2213yescomplemented
101#2477C2213yescomplemented
102#2476C2216yescomplemented
103#2476C2213yescomplemented
104#2476C2216yescomplemented
105#2475C2213yescomplemented
106#2474C2213yescomplemented
107#2473C2211yescharacteristic
108#2472C2213yes—
109#2471C2216yescomplemented
110#2471C2213yescomplemented
111#2471C2216yescomplemented
112#2470C2213yescomplemented
113#2466C2216yescomplemented
114#2464C2216yescomplemented
115#2464C2216yescomplemented
116#2461C2216yescomplemented
117#2457C2216yescomplemented
118#2456C2216yescomplemented
119#2456C2216yescomplemented
120#2456C2216yescomplemented
121#2454C2213yescomplemented
122#2453C2213yescomplemented
123#2452C2213yescomplemented
124#2451C2213yescomplemented
125#2449C2213yes—
126#2449C2216yescomplemented
127#2445C2213yescomplemented
128#2445C2213yescomplemented
129#2445C2213yescomplemented
130#2445C2213yescomplemented
131#2443C2216yes—
132#2443C2213yes—
133#2443C2216yescomplemented
134#2443C2216yescomplemented
135#2442C2213yes—
136#2442C2213yescomplemented
137#2440C2213yes—
138#2440C2213yescomplemented
139#2433C2213yes—
140#2433C2213yes—
141#2431C2213yes—
142#2431C2213yes—
143#2431C2213yes—
144#2431C2213yes—
145#2428C2213yescomplemented
146#2428C2213yescomplemented
147#2426C2213yescomplemented
148#2426C2213yescomplemented
149#2424C2213yes—
150#2424C2216yes—
151#2424C2216yes—
152#2422C2213yescomplemented
153#2422C2213yescomplemented
154#2420C2213yescomplemented
155#2420C2213yescomplemented
156#2418C2213yes—
157#2416C2213yes—
158#2416C2213yes—
159#2416C2213yescomplemented
160#2416C2213yescomplemented
161#2414C2216yescomplemented
162#2413C2216yescomplemented
163#2408C2213yes—
164#2408C2213yes—
165#2407C2213yes—
166#2407C2213yes—
167#2407C2213yes—
168#2407C2213yes—
169#2407C2216yescomplemented
170#2406C2216yescomplemented
171#2396C2213yescomplemented
172#2395C2213yescomplemented
173#2395C2213yescomplemented
174#2392C2216yescomplemented
175#2392C2213yescomplemented
176#2388C2216yescomplemented
177#2367C2213yescomplemented
178#2367C2213yescomplemented
179#2366C2213yescomplemented
180#2366C2213yescomplemented
181#2363C2213yescomplemented
182#2362C2213yescomplemented
183#2361C2213yes—
184#2361C2213yes—
185#2361C2213yescomplemented
186#2361C2213yescomplemented
187#2361C2213yescomplemented
188#2360C2213yescomplemented
189#2357C2213yescomplemented
190#2354C2213yescomplemented
191#2352C2213yes—
192#2352C2213yescomplemented
193#2351C2211yescharacteristic, complemented
194#2351C2211yescharacteristic, complemented
195#2351C2211yescharacteristic, complemented
196Q8×C4⋊C4C2211yescharacteristic, complemented
197Q8×C4⋊C4C2211yescharacteristic, complemented
198Q8×C4⋊C4C2211yescharacteristic, complemented
199D4×C4⋊C4C2213yes—
200D4×C4⋊C4C2213yescomplemented
201#2345C2213yescomplemented
202#2344C2213yescomplemented
203#2341C2211yescharacteristic
204#2341C2211yescharacteristic
205#2341C2211yescharacteristic
206#2341C2211yescharacteristic
207#2341C2211yescharacteristic, complemented
208#2341C2211yescharacteristic, complemented
209#2341C2211yescharacteristic, complemented
210#2341C2211yescharacteristic, complemented
211Q8×C22⋊C4C2211yescharacteristic
212Q8×C22⋊C4C2211yescharacteristic
213#2328C2213yescomplemented
214#2326C2213yescomplemented
215#2324C2213yescomplemented
216#2324C2213yescomplemented
217#2324C2213yescomplemented
218#2323C2213yescomplemented
219#2319C2213yescomplemented
220#2314C2213yescomplemented
221C4×#127C2213yescomplemented
222C4×#124C2213yescomplemented
223C4×C22⋊Q8C2213yes—
224C4×C22⋊Q8C2213yescomplemented
225C4×#121C2213yes—
226C4×#121C2213yes—
227C4×#121C2213yes—
228C4×#121C2213yescomplemented
229C4×#120C2213yes—
230C4×#120C2213yes—
231C4×#120C2216yes—
232#2298C2213yescomplemented
233#2293C2213yescomplemented
234#2293C2213yescomplemented
235#2290C2213yes—
236#2290C2213yescomplemented
237#2276C2211yescharacteristic, complemented
238C42×Q8C2211yescharacteristic, complemented
239C42×D4C2213yes—
240C22×#41—28no—
241C22×#41—28no—
242C22×#41—28no—
243C22×#41C2313yes—
244C22×#41C2313yes—
245C22×#41C2311yescharacteristic
246C22×#41C2311yescharacteristic
247C22×#41C2311yescharacteristic
248C22×#41C2311yescharacteristic
249C22×#41C2316yes—
250C23×Q8C2311yescharacteristic
251C23×D4C2313yes—
252C24×C4C2313yes—
253C24×C4C2316yes—
254#557—28no—
255#553—224no—
256#553—224no—
257#550—28no—
258#550—28no—
259#550—28no—
260#550—28no—
261#550—28no—
262#550—224no—
263#548—28no—
264#548—28no—
265#547—224no—
266#540—224no—
267#540—224no—
268#532—224no—
269C2×C4⋊Q8C2313yes—
270C2×#127C2313yes—
271C2×#127C2313yes—
272C2×#127C2313yes—
273C2×#127C2313yes—
274C2×#127C2313yes—
275#529—224no—
276C2×#126C2313yes—
277C2×#126C2313yes—
278C2×#125C2313yes—
279C2×#125C2311yescharacteristic
280C2×#125C2313yes—
281C2×#124C2313yes—
282C2×#124C2313yes—
283C2×#124C2313yes—
284#525—424no—
285C2×#123C2316yes—
286C2×#123C2313yes—
287C2×#123C2313yes—
288C2×#123C2316yes—
289C2×#123C2316yes—
290C2×#123C2316yes—
291C2×#123C2316yes—
292C2×C22⋊Q8C2313yes—
293C2×C22⋊Q8C2313yes—
294C2×C22⋊Q8C2313yes—
295C2×C22⋊Q8C2313yes—
296C2×C22⋊Q8C2316yes—
297C2×#121C2313yes—
298C2×#121C2313yes—
299C2×#121C2313yes—
300C2×#121C2316yes—
301C2×#121C2313yes—
302C2×#121C2313yes—
303C2×#121C2313yes—
304C2×#121C2313yes—
305C2×#121C2313yes—
306C2×#121C2313yes—
307C2×#121C2313yes—
308C2×#121C2313yes—
309C2×#121C2313yes—
310C2×#121C2313yes—
311C2×#121C2316yes—
312C2×#121C2316yes—
313C2×#121C2316yes—
314C2×#121C2313yes—
315C2×#121C2316yes—
316C2×#121C2316yes—
317C2×#120C2313yes—
318C2×#120C2316yes—
319C2×#120C2313yes—
320C2×#120C2316yes—
321#520—28no—
322#520—28no—
323#520—28no—
324#520—28no—
325#520—224no—
326#520—224no—
327#520—224no—
328#520—224no—
329#520D4116yescomplemented
330C4×#41—28no—
331C2×C4×Q8—28no—
332C2×C4×Q8—28no—
333C2×C4×Q8C2313yes—
334C2×C4×Q8C2313yes—
335C2×C4×Q8C2313yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2313yes—
345C2×C4×Q8C2313yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×D4—224no—
349C2×C4×D4—224no—
350C2×C4×D4C2313yes—
351C2×C4×D4C2313yes—
352C2×C4×D4C2313yes—
353C2×C4×D4C2316yes—
354C2×C4×D4C2313yes—
355C2×C4×D4C2316yes—
356C2×C4×D4C2313yes—
357C2×C4×D4C2313yes—
358C2×C4×D4C2313yes—
359C2×C4×D4C2313yes—
360C2×C4×D4C2313yes—
361C2×C4×D4C2313yes—
362C2×C4×D4C2313yes—
363C2×C4×D4C2313yes—
364C2×C4×D4C2316yes—
365C2×C4×D4C2313yes—
366C2×C4×D4C2313yes—
367C2×C4×D4C2313yes—
368C2×C4×D4C2313yes—
369C2×C4×D4C2313yes—
370C2×C4×D4C2313yes—
371C2×C4×D4C2316yes—
372C2×C4×D4C2316yes—
373C2×C4×D4C2316yes—
374C2×C4×D4C2316yes—
375C2×C4×D4C2316yes—
376C2×C4×D4C2313yes—
377C2×C4×D4C2316yes—
378C2×C4×D4C2313yes—
379C2×C4×D4C2313yes—
380C2×#117—224no—
381C2×#117C2313yes—
382C2×#117C2313yes—
383C2×#117C2313yes—
384C2×#117C2313yes—
385C2×#117C2313yes—
386C2×#117C2313yes—
387C2×#117C2313yes—
388C2×#117C2313yes—
389C2×#117C2313yes—
390C2×#117C2316yes—
391C2×#117C2313yes—
392C22×C4⋊C4—224no—
393C22×C4⋊C4C2316yes—
394C22×C4⋊C4C2313yes—
395C22×C4⋊C4C2313yes—
396C22×C4⋊C4C2313yes—
397C22×C4⋊C4C2313yes—
398C22×C4⋊C4C2313yes—
399C22×C4⋊C4C2313yes—
400C22×C4⋊C4C2316yes—
401C22×C4⋊C4C2313yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2313yes—
404C22×C22⋊C4C2313yes—
405C22×C22⋊C4C2313yes—
406C22×C42C2313yes—
407C22×C42C2313yes—
408C22×C42C2313yes—
409#400C2316yes—
410#400C2313yes—
411#400C2311yescharacteristic
412#400C2313yes—
413#399C2313yes—
414#399C2316yes—
415#399C2313yes—
416#399C2313yes—
417#398C2316yes—
418#398C2316yes—
419#398C2316yes—
420#398C2313yes—
421#398C2311yescharacteristic
422#398C2311yescharacteristic
423#398C2313yes—
424#398C2311yescharacteristic
425#397C2313yes—
426#397C2313yes—
427#397C2313yes—
428#397C2316yes—
429#397C2313yes—
430#397C2313yes—
431#397C2313yes—
432#397C2313yes—
433#396C2313yes—
434#396C2316yes—
435#396C2313yes—
436#396C2316yes—
437#396C2316yes—
438#396C2316yes—
439#396C2313yes—
440#396C2313yes—
441#395C2316yes—
442#395C2313yes—
443#394C2316yes—
444#394C2316yes—
445#394C2316yes—
446#394C2316yes—
447#394C2316yes—
448#394C2316yes—
449#394C2313yes—
450#394C2316yes—
451#394C2316yes—
452#394C2313yes—
453#394C2313yes—
454#394C2316yes—
455#394C2313yes—
456#394C2313yes—
457#394C2313yes—
458#394C2313yes—
459#393C2313yes—
460#392C2316yes—
461#392C2316yes—
462#392C2316yes—
463#392C2316yes—
464#392C2316yes—
465#392C2316yes—
466#392C2316yes—
467#392C2316yes—
468#392C2313yes—
469#391C2313yes—
470#391C2313yes—
471#391C2313yes—
472#391C2313yes—
473#391C2313yes—
474#390C2313yes—
475#390C2313yes—
476#390C2316yes—
477#390C2313yes—
478#390C2313yes—
479#390C2313yes—
480#390C2313yes—
481#390C2313yes—
482#390C2313yes—
483#390C2313yes—
484#390C2316yes—
485#390C2313yes—
486#390C2313yes—
487#390C2313yes—
488#390C2313yes—
489#390C2313yes—
490#390C2313yes—
491#390C2313yes—
492#390C2313yes—
493#390C2316yes—
494#390C2316yes—
495#390C2313yes—
496#390C2313yes—
497#389C2313yes—
498#389C2313yes—
499#389C2316yes—
500#389C2313yes—
501#389C2313yes—
502#389C2313yes—
503#389C2313yes—
504#389C2313yes—
505#389C2313yes—
506#389C2313yes—
507#389C2313yes—
508#389C2313yes—
509#389C2313yes—
510#389C2313yes—
511#389C2313yes—
512#389C2313yes—
513#389C2311yescharacteristic
514#388C2316yes—
515#388C2316yes—
516#388C2313yes—
517#388C2316yes—
518#388C2316yes—
519#388C2313yes—
520#388C2313yes—
521#388C2316yes—
522#388C2313yes—
523#388C2313yes—
524#388C2316yes—
525#388C2313yes—
526#388C2313yes—
527#388C2313yes—
528#388C2313yes—
529#388C2313yes—
530#388C2313yes—
531#388C2316yes—
532#388C2316yes—
533#388C2313yes—
534#388C2313yes—
535#388C2313yes—
536#387C2313yes—
537#387C2316yes—
538#387C2313yes—
539#387C2316yes—
540#387C2313yes—
541#387C2313yes—
542#387C2316yes—
543#387C2313yes—
544#387C2316yes—
545#387C2313yes—
546#387C2313yes—
547#387C2313yes—
548#387C2311yescharacteristic
549#387C2311yescharacteristic
550#386C2316yes—
551#386C2316yes—
552#386C2316yes—
553#386C2316yes—
554#386C2316yes—
555#386C2313yes—
556#386C2316yes—
557#386C2316yes—
558#386C2313yes—
559#386C2316yes—
560#386C2316yes—
561#386C2313yes—
562#386C2313yes—
563#386C2313yes—
564#386C2316yes—
565#386C2316yes—
566#386C2316yes—
567#386C2316yes—
568#386C2313yes—
569#386C2316yes—
570#386C2316yes—
571#386C2313yes—
572#386C2313yes—
573#386C2313yes—
574#386C2313yes—
575#386C2313yes—
576#386C2313yes—
577#385C2316yes—
578#385C2316yes—
579#385C2313yes—
580#385C2316yes—
581#385C2316yes—
582#385C2316yes—
583#385C2313yes—
584#385C2316yes—
585#385C2316yes—
586#385C2313yes—
587#385C2316yes—
588#385C2313yes—
589#385C2316yes—
590#385C2313yes—
591#385C2313yes—
592#385C2313yes—
593#385C2313yes—
594#385C2311yescharacteristic
595#385C2311yescharacteristic
596#385C2311yescharacteristic
597#385C2311yescharacteristic
598#384C2313yes—
599#384C2313yes—
600#384C2313yes—
601#382C2313yes—
602#382C2313yes—
603#382C2313yes—
604#381C2316yes—
605#381C2316yes—
606#380C2313yes—
607#380C2313yes—
608#380C2316yes—
609#380C2313yes—
610#380C2313yes—
611#380C2313yes—
612#380C2313yes—
613#380C2313yes—
614#380C2313yes—
615#380C2313yes—
616#380C2316yes—
617#380C2313yes—
618#380C2313yes—
619#380C2311yescharacteristic
620#379C2313yes—
621#379C2313yes—
622C4×C4⋊C4C2313yes—
623C4×C4⋊C4C2313yes—
624C4×C4⋊C4C2313yes—
625C4×C4⋊C4C2313yes—
626C4×C4⋊C4C2313yes—
627C4×C4⋊C4C2313yes—
628C4×C4⋊C4C2313yes—
629C4×C4⋊C4C2313yes—
630C4×C4⋊C4C2313yes—
631C4×C4⋊C4C2313yes—
632C4×C4⋊C4C2313yes—
633C4×C4⋊C4C2313yes—
634C4×C4⋊C4C2313yes—
635C4×C4⋊C4C2313yes—
636C4×C22⋊C4C2316yes—
637C4×C22⋊C4C2313yes—
638C4×C22⋊C4C2313yes—
639C4×C22⋊C4C2313yes—
640C4×C22⋊C4C2313yes—
641C4×C22⋊C4C2313yes—
642C4×C22⋊C4C2313yes—
643C4×C22⋊C4C2313yes—
644C4×C22⋊C4C2313yes—
645C4×C22⋊C4C2313yes—
646C4×C22⋊C4C2313yes—
647C4×C22⋊C4C2313yes—
648C4×C22⋊C4C2316yes—
649C4×C22⋊C4C2316yes—
650C4×C22⋊C4C2313yes—
651C4×C22⋊C4C2316yes—
652C4×C22⋊C4C2313yes—
653C4×C22⋊C4C2311yescharacteristic
654#376C2313yes—
655C43C2313yes—
656C25C2413yes—
657C2×#41—2128no—
658C2×#41—24no—
659C2×#41—24no—
660C2×#41—24no—
661C2×#41—212no—
662C2×#41—212no—
663C2×#41—24no—
664C2×#41—24no—
665C2×#41—24no—
666C2×#41—24no—
667C2×#41—24no—
668C2×#41—24no—
669C2×#41—24no—
670C2×#41—212no—
671C2×#41—212no—
672C2×#41—212no—
673C2×#41—224no—
674C2×#41—212no—
675C2×#41—412no—
676C2×#41—86no—
677C2×#41C2×D418yes—
678C2×#41#4118yescomplemented
679C22×Q8—24no—
680C22×Q8—24no—
681C22×Q8#4118yescomplemented
682C22×Q8C2413yes—
683C22×Q8C2413yes—
684C22×Q8C2411yescharacteristic
685C22×D4—212no—
686C22×D4—212no—
687C22×D4—212no—
688C22×D4C2416yes—
689C22×D4C2413yes—
690C22×D4C2413yes—
691C22×D4C2413yes—
692C22×D4C2413yes—
693C22×D4C2413yes—
694C22×D4C2413yes—
695C22×D4C2413yes—
696C22×D4C2413yes—
697C22×D4C2416yes—
698C22×D4C2413yes—
699C22×D4C2416yes—
700C22×D4C2416yes—
701C22×D4C2413yes—
702C22×D4C2413yes—
703C22×D4C2416yes—
704C22×D4C2416yes—
705C23×C4—212no—
706C23×C4—212no—
707C23×C4—212no—
708C23×C4—224no—
709C23×C4—412no—
710C23×C4—86no—
711C23×C4C2411yescharacteristic
712C23×C4C2413yes—
713C23×C4C2413yes—
714C23×C4C2413yes—
715C23×C4C2413yes—
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2413yes—
719C23×C4C2413yes—
720C23×C4C2413yes—
721C23×C4C2413yes—
722C23×C4C2413yes—
723C23×C4C2413yes—
724C23×C4C2416yes—
725C23×C4C2416yes—
726C23×C4C2416yes—
727C23×C4C2416yes—
728C23×C4C2413yes—
729C23×C4C2416yes—
730C4⋊Q8—212no—
731#127—212no—
732#127—212no—
733#127—212no—
734#127—212no—
735#127—212no—
736#126—212no—
737#126—212no—
738#125—24no—
739#125—212no—
740#125—212no—
741#124—212no—
742#124—212no—
743#124—212no—
744#123—224no—
745#123—212no—
746#123—224no—
747#123—212no—
748#123—412no—
749#123—412no—
750#123—86no—
751C22⋊Q8—212no—
752C22⋊Q8—212no—
753C22⋊Q8—212no—
754C22⋊Q8—212no—
755C22⋊Q8—412no—
756#121—212no—
757#121—212no—
758#121—212no—
759#121—212no—
760#121—212no—
761#121—224no—
762#121—212no—
763#121—212no—
764#121—212no—
765#121—212no—
766#121—212no—
767#121—212no—
768#121—212no—
769#121—212no—
770#121—224no—
771#121—224no—
772#121—412no—
773#121—46no—
774#121—412no—
775#121—86no—
776#120—212no—
777#120—412no—
778#120—46no—
779#120—412no—
780C4×Q8—24no—
781C4×Q8—24no—
782C4×Q8—24no—
783C4×Q8—24no—
784C4×Q8—24no—
785C4×Q8—24no—
786C4×Q8—24no—
787C4×Q8—24no—
788C4×Q8—212no—
789C4×Q8—212no—
790C4×Q8—212no—
791C4×Q8—212no—
792C4×Q8—212no—
793C4×Q8C2×D418yes—
794C4×Q8C2×D418yes—
795C4×D4—212no—
796C4×D4—212no—
797C4×D4—224no—
798C4×D4—224no—
799C4×D4—212no—
800C4×D4—212no—
801C4×D4—224no—
802C4×D4—212no—
803C4×D4—212no—
804C4×D4—212no—
805C4×D4—212no—
806C4×D4—212no—
807C4×D4—212no—
808C4×D4—212no—
809C4×D4—212no—
810C4×D4—224no—
811C4×D4—224no—
812C4×D4—212no—
813C4×D4—212no—
814C4×D4—212no—
815C4×D4—212no—
816C4×D4—212no—
817C4×D4—212no—
818C4×D4—412no—
819C4×D4—412no—
820C4×D4—46no—
821C4×D4—412no—
822C4×D4—86no—
823C4×D4C2×D4124yes—
824C4×D4C2×D4124yes—
825#117—212no—
826#117—212no—
827#117—212no—
828#117—212no—
829#117—212no—
830#117—212no—
831#117—212no—
832#117—212no—
833#117—212no—
834#117—412no—
835#117C2×D4124yes—
836C2×C4⋊C4—224no—
837C2×C4⋊C4—212no—
838C2×C4⋊C4—212no—
839C2×C4⋊C4—212no—
840C2×C4⋊C4—212no—
841C2×C4⋊C4—212no—
842C2×C4⋊C4—212no—
843C2×C4⋊C4—224no—
844C2×C4⋊C4—24no—
845C2×C4⋊C4—212no—
846C2×C4⋊C4C2×D4124yes—
847C2×C4⋊C4C2413yes—
848C2×C4⋊C4C2413yes—
849C2×C4⋊C4C2413yes—
850C2×C4⋊C4C2413yes—
851C2×C4⋊C4C2413yes—
852C2×C4⋊C4C2416yes—
853C2×C4⋊C4C2416yes—
854C2×C4⋊C4C2413yes—
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2413yes—
859C2×C4⋊C4C2411yescharacteristic
860C2×C4⋊C4C2413yes—
861C2×C4⋊C4C2413yes—
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2411yescharacteristic
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2413yes—
868C2×C4⋊C4C2413yes—
869C2×C4⋊C4C2416yes—
870C2×C4⋊C4C2413yes—
871C2×C4⋊C4C2413yes—
872C2×C4⋊C4C2413yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2413yes—
875C2×C4⋊C4C2413yes—
876C2×C4⋊C4C2413yes—
877C2×C4⋊C4C2413yes—
878C2×C4⋊C4C2413yes—
879C2×C4⋊C4C2413yes—
880C2×C4⋊C4C2416yes—
881C2×C4⋊C4C2416yes—
882C2×C4⋊C4C2416yes—
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2413yes—
886C2×C4⋊C4C2413yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2413yes—
891C2×C4⋊C4C2413yes—
892C2×C4⋊C4C2413yes—
893C2×C4⋊C4C2413yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C22⋊C4—212no—
896C2×C22⋊C4—212no—
897C2×C22⋊C4C2413yes—
898C2×C22⋊C4C2413yes—
899C2×C22⋊C4C2413yes—
900C2×C22⋊C4C2413yes—
901C2×C22⋊C4C2413yes—
902C2×C22⋊C4C2413yes—
903C2×C22⋊C4C2413yes—
904C2×C22⋊C4C2413yes—
905C2×C22⋊C4C2416yes—
906C2×C22⋊C4C2413yes—
907C2×C22⋊C4C2413yes—
908C2×C22⋊C4C2413yes—
909C2×C22⋊C4C2411yescharacteristic
910C2×C22⋊C4C2411yescharacteristic
911C2×C22⋊C4C2413yes—
912C2×C22⋊C4C2413yes—
913C2×C22⋊C4C2413yes—
914C2×C22⋊C4C2413yes—
915C2×C22⋊C4C2413yes—
916C2×C22⋊C4C2413yes—
917C2×C22⋊C4C2413yes—
918C2×C22⋊C4C2413yes—
919C2×C22⋊C4C2413yes—
920C2×C22⋊C4C2413yes—
921C2×C22⋊C4C2413yes—
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2411yescharacteristic
926C2×C22⋊C4C2416yes—
927C2×C22⋊C4C2416yes—
928C2×C22⋊C4C2416yes—
929C2×C22⋊C4C2413yes—
930C2×C22⋊C4C2413yes—
931C2×C22⋊C4C2416yes—
932C2×C22⋊C4C2416yes—
933C2×C22⋊C4C2416yes—
934C2×C22⋊C4C2416yes—
935C2×C22⋊C4C2413yes—
936C2×C22⋊C4C2416yes—
937C2×C22⋊C4C2413yes—
938C2×C22⋊C4C2416yes—
939C2×C22⋊C4C2413yes—
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2416yes—
942C2×C22⋊C4C2413yes—
943C2×C22⋊C4C2413yes—
944C2×C22⋊C4C2413yes—
945C2×C22⋊C4C2413yes—
946C2×C22⋊C4C2413yes—
947C2×C22⋊C4C2413yes—
948C2×C22⋊C4C2413yes—
949C2×C22⋊C4C2413yes—
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2411yescharacteristic
952C2×C42—212no—
953C2×C42—212no—
954C2×C42—212no—
955C2×C42C2413yes—
956C2×C42C2413yes—
957C2×C42C2413yes—
958C2×C42C2413yes—
959C2×C42C2413yes—
960C2×C42C2413yes—
961C2×C42C2413yes—
962C2×C42C2413yes—
963C2×C42C2413yes—
964C2×C42C2413yes—
965C2×C42C2413yes—
966C2×C42C2413yes—
967C2×C42C2413yes—
968C2×C42C2413yes—
969C2×C42C2411yescharacteristic
970C2×C42C2416yes—
971C2×C42C2413yes—
972C2×C42C2413yes—
973C2×C42C2411yescharacteristic
974C2×C42C2413yes—
975C2×C42C2413yes—
976#95C2411yescharacteristic
977#95C2413yes—
978#95C2413yes—
979#95C2413yes—
980#95C2411yescharacteristic
981#95C2411yescharacteristic
982#95C2413yes—
983#95C2411yescharacteristic
984#95C2411yescharacteristic
985#95C2411yescharacteristic
986#95C2411yescharacteristic
987#95C2411yescharacteristic
988#95C2411yescharacteristic
989#95C2411yescharacteristic
990#95C2413yes—
991#95C2413yes—
992#95C2413yes—
993#95C2413yes—
994#95C2413yes—
995#95C2413yes—
996#95C2413yes—
997#95C2413yes—
998#95C2413yes—
999#95C2413yes—
1000#95C2413yes—
1001#95C2413yes—
1002#95C2416yes—
1003#95C2416yes—
1004#95C2416yes—
1005#95C2416yes—
1006#95C2416yes—
1007#95C2413yes—
1008#95C2413yes—
1009#95C2416yes—
1010#95C2411yescharacteristic
1011#95C2411yescharacteristic
1012#95C2413yes—
1013#95C2413yes—
1014#95C2413yes—
1015#95C2413yes—
1016#95C2413yes—
1017#95C2413yes—
1018C24—26no—
1019C24—26no—
1020C24—26no—
1021C24—26no—
1022C24—26no—
1023C24—43no—
1024C24—43no—
1025C24C2513yes—
1026C24C2513yes—
1027C24C2513yes—
1028C24C2513yes—
1029C24C2511yescharacteristic
1030#41—296no—
1031#41—296no—
1032#41—232no—
1033#41—232no—
1034#41—416no—
1035#41—416no—
1036#41—848no—
1037C2×Q8—232no—
1038C2×Q8—26no—
1039C2×Q8—26no—
1040C2×Q8—26no—
1041C2×Q8—26no—
1042C2×Q8—43no—
1043C2×Q8C22×D414yes—
1044C2×Q8C2×#41112yes—
1045C2×Q8C2×#4114yes—
1046C2×Q8C2×#4114yes—
1047C2×D4—296no—
1048C2×D4—212no—
1049C2×D4—212no—
1050C2×D4—26no—
1051C2×D4—26no—
1052C2×D4—26no—
1053C2×D4—26no—
1054C2×D4—26no—
1055C2×D4—26no—
1056C2×D4—26no—
1057C2×D4—26no—
1058C2×D4—212no—
1059C2×D4—26no—
1060C2×D4—212no—
1061C2×D4—26no—
1062C2×D4—212no—
1063C2×D4—212no—
1064C2×D4—26no—
1065C2×D4—26no—
1066C2×D4—26no—
1067C2×D4—26no—
1068C2×D4—212no—
1069C2×D4—212no—
1070C2×D4—26no—
1071C2×D4—26no—
1072C2×D4—26no—
1073C2×D4—26no—
1074C2×D4—26no—
1075C2×D4—26no—
1076C2×D4—26no—
1077C2×D4—26no—
1078C2×D4—26no—
1079C2×D4—43no—
1080C2×D4—43no—
1081C2×D4—46no—
1082C2×D4—46no—
1083C2×D4—46no—
1084C2×D4—46no—
1085C2×D4—43no—
1086C2×D4—43no—
1087C2×D4—46no—
1088C2×D4—46no—
1089C2×D4—43no—
1090C2×D4—43no—
1091C2×D4—46no—
1092C2×D4—46no—
1093C2×D4—43no—
1094C2×D4—46no—
1095C2×D4—46no—
1096C2×D4—43no—
1097C2×D4C22×D4112yes—
1098C2×D4C2×#41112yes—
1099C22×C4—296no—
1100C22×C4—26no—
1101C22×C4—22no—
1102C22×C4—26no—
1103C22×C4—26no—
1104C22×C4—22no—
1105C22×C4—26no—
1106C22×C4—26no—
1107C22×C4—22no—
1108C22×C4—26no—
1109C22×C4—26no—
1110C22×C4—26no—
1111C22×C4—26no—
1112C22×C4—26no—
1113C22×C4—26no—
1114C22×C4—26no—
1115C22×C4—26no—
1116C22×C4—26no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—212no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—26no—
1123C22×C4—26no—
1124C22×C4—26no—
1125C22×C4—26no—
1126C22×C4—26no—
1127C22×C4—26no—
1128C22×C4—26no—
1129C22×C4—26no—
1130C22×C4—26no—
1131C22×C4—26no—
1132C22×C4—26no—
1133C22×C4—212no—
1134C22×C4—212no—
1135C22×C4—212no—
1136C22×C4—46no—
1137C22×C4—43no—
1138C22×C4—43no—
1139C22×C4—46no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—43no—
1143C22×C4—46no—
1144C22×C4—46no—
1145C22×C4—43no—
1146C22×C4—46no—
1147C22×C4—46no—
1148C22×C4—46no—
1149C22×C4—46no—
1150C22×C4—46no—
1151C22×C4—46no—
1152C22×C4—43no—
1153C22×C4—848no—
1154C22×C4C22×D4112yes—
1155C22×C4C22×D4124yes—
1156C22×C4C2×#41112yes—
1157C22×C4C2×#41112yes—
1158C22×C4C2511yescharacteristic
1159C22×C4C2513yes—
1160C22×C4C2513yes—
1161C22×C4C2511yescharacteristic
1162C22×C4C2511yescharacteristic
1163C22×C4C2511yescharacteristic
1164C22×C4C2513yes—
1165C22×C4C2511yescharacteristic
1166C22×C4C2513yes—
1167C22×C4C2513yes—
1168C22×C4C2511yescharacteristic
1169C22×C4C2511yescharacteristic
1170C22×C4C2511yescharacteristic
1171C22×C4C2513yes—
1172C22×C4C2513yes—
1173C22×C4C2513yes—
1174C22×C4C2511yescharacteristic
1175C22×C4C2511yescharacteristic
1176C22×C4C2513yes—
1177C22×C4C2511yescharacteristic
1178C22×C4C2513yes—
1179C22×C4C2513yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2511yescharacteristic
1182C22×C4C2511yescharacteristic
1183C22×C4C2513yes—
1184C4⋊C4—26no—
1185C4⋊C4—26no—
1186C4⋊C4—26no—
1187C4⋊C4—212no—
1188C4⋊C4—212no—
1189C4⋊C4—26no—
1190C4⋊C4—26no—
1191C4⋊C4—26no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—26no—
1196C4⋊C4—22no—
1197C4⋊C4—26no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—212no—
1202C4⋊C4—22no—
1203C4⋊C4—26no—
1204C4⋊C4—26no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—26no—
1208C4⋊C4—26no—
1209C4⋊C4—26no—
1210C4⋊C4—26no—
1211C4⋊C4—26no—
1212C4⋊C4—26no—
1213C4⋊C4—26no—
1214C4⋊C4—26no—
1215C4⋊C4—26no—
1216C4⋊C4—26no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—43no—
1221C4⋊C4—46no—
1222C4⋊C4—43no—
1223C4⋊C4—46no—
1224C4⋊C4—46no—
1225C4⋊C4—43no—
1226C4⋊C4—43no—
1227C4⋊C4—43no—
1228C4⋊C4C22×D4112yes—
1229C4⋊C4C22×D4112yes—
1230C4⋊C4C22×D4112yes—
1231C4⋊C4C22×D414yes—
1232C22⋊C4—26no—
1233C22⋊C4—26no—
1234C22⋊C4—26no—
1235C22⋊C4—26no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—26no—
1239C22⋊C4—26no—
1240C22⋊C4—26no—
1241C22⋊C4—26no—
1242C22⋊C4—22no—
1243C22⋊C4—26no—
1244C22⋊C4—26no—
1245C22⋊C4—26no—
1246C22⋊C4—26no—
1247C22⋊C4—26no—
1248C22⋊C4—212no—
1249C22⋊C4—26no—
1250C22⋊C4—26no—
1251C22⋊C4—26no—
1252C22⋊C4—26no—
1253C22⋊C4—26no—
1254C22⋊C4—26no—
1255C22⋊C4—26no—
1256C22⋊C4—26no—
1257C22⋊C4—26no—
1258C22⋊C4—212no—
1259C22⋊C4—212no—
1260C22⋊C4—26no—
1261C22⋊C4—26no—
1262C22⋊C4—26no—
1263C22⋊C4—43no—
1264C22⋊C4—43no—
1265C22⋊C4—43no—
1266C22⋊C4—46no—
1267C22⋊C4—43no—
1268C22⋊C4—46no—
1269C22⋊C4—46no—
1270C22⋊C4—46no—
1271C22⋊C4—46no—
1272C22⋊C4—43no—
1273C22⋊C4—43no—
1274C22⋊C4—46no—
1275C22⋊C4—43no—
1276C22⋊C4—43no—
1277C22⋊C4—46no—
1278C22⋊C4—43no—
1279C22⋊C4—43no—
1280C22⋊C4—43no—
1281C22⋊C4—46no—
1282C22⋊C4—43no—
1283C22⋊C4—43no—
1284C22⋊C4C22×D4112yes—
1285C22⋊C4C22×D4112yes—
1286C22⋊C4H(5,𝔽2)14yes—
1287C42—22no—
1288C42—26no—
1289C42—26no—
1290C42—26no—
1291C42—26no—
1292C42—26no—
1293C42—26no—
1294C42—26no—
1295C42—26no—
1296C42—26no—
1297C42—26no—
1298C42—26no—
1299C42—26no—
1300C42—26no—
1301C42—26no—
1302C42—41no—
1303C42—46no—
1304C42—43no—
1305C42—43no—
1306C42C22×D4112yes—
1307C42C22×D4112yes—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—224no—
1313C23—23no—
1314C23—23no—
1315C23—23no—
1316C23—23no—
1317C23—23no—
1318C23—23no—
1319C23—23no—
1320C23—23no—
1321C23—23no—
1322C23—23no—
1323C23—23no—
1324C23—23no—
1325C23—23no—
1326C23—23no—
1327C23—23no—
1328C23—23no—
1329C23—23no—
1330C23—23no—
1331C23—23no—
1332C23—23no—
1333C23—23no—
1334C23—23no—
1335C23—23no—
1336C23—23no—
1337C23—23no—
1338C23—23no—
1339C23—412no—
1340C23—412no—
1341C23—412no—
1342C23—412no—
1343C23—412no—
1344C23—412no—
1345C23C23×D416yes—
1346C23C22×#4116yes—
1347C23C22×#4112yes—
1348C23C2×H(5,𝔽2)12yes—
1349C23#58512yes—
1350C23C2611yescharacteristic
1351Q8—224no—
1352Q8—412no—
1353Q8#525116yescomplemented
1354D4—248no—
1355D4—224no—
1356D4—224no—
1357D4—412no—
1358D4—412no—
1359D4—412no—
1360D4—412no—
1361D4—412no—
1362D4—412no—
1363D4—86no—
1364D4—812no—
1365D4—812no—
1366D4—812no—
1367D4—86no—
1368D4—812no—
1369D4—86no—
1370D4—812no—
1371C2×C4—28no—
1372C2×C4—224no—
1373C2×C4—224no—
1374C2×C4—23no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—23no—
1382C2×C4—23no—
1383C2×C4—23no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—23no—
1387C2×C4—23no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—224no—
1393C2×C4—224no—
1394C2×C4—224no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—23no—
1400C2×C4—23no—
1401C2×C4—23no—
1402C2×C4—23no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—23no—
1408C2×C4—23no—
1409C2×C4—23no—
1410C2×C4—23no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—23no—
1416C2×C4—23no—
1417C2×C4—23no—
1418C2×C4—23no—
1419C2×C4—23no—
1420C2×C4—23no—
1421C2×C4—23no—
1422C2×C4—23no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—23no—
1426C2×C4—21no—
1427C2×C4—23no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—23no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—23no—
1434C2×C4—23no—
1435C2×C4—23no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—23no—
1440C2×C4—23no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—424no—
1444C2×C4—412no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—412no—
1448C2×C4—412no—
1449C2×C4—412no—
1450C2×C4—412no—
1451C2×C4—86no—
1452C2×C4—812no—
1453C2×C4—812no—
1454C2×C4—812no—
1455C2×C4—812no—
1456C2×C4C23×D412yes—
1457C2×C4C23×D412yes—
1458C2×C4C23×D416yes—
1459C2×C4C23×D416yes—
1460C2×C4C23×D412yes—
1461C2×C4C23×D416yes—
1462C2×C4C22×#4112yes—
1463C2×C4C22×#4116yes—
1464C2×C4C22×#4116yes—
1465C2×C4C22×#4116yes—
1466C2×C4C2×H(5,𝔽2)12yes—
1467C2×C4C2×H(5,𝔽2)12yes—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—26no—
1475C22—26no—
1476C22—26no—
1477C22—26no—
1478C22—26no—
1479C22—26no—
1480C22—448no—
1481C22—43no—
1482C22—43no—
1483C22—43no—
1484C22—43no—
1485C22—43no—
1486C22—43no—
1487C22—43no—
1488C22—43no—
1489C22—43no—
1490C22—43no—
1491C22—43no—
1492C22—43no—
1493C22—43no—
1494C22—43no—
1495C22—43no—
1496C22—43no—
1497C22—43no—
1498C22—43no—
1499C22—43no—
1500C22—43no—
1501C22—43no—
1502C22—43no—
1503C22#351714yescomplemented
1504C22C24×D411yescharacteristic
1505C22C23×#4111yescharacteristic
1506C22C23×#4111yescharacteristic
1507C22C22×H(5,𝔽2)11yescharacteristic
1508C22C2×#58511yescharacteristic
1509C22H(7,𝔽2)11yescharacteristic
1510C222−1+611yescharacteristic
1511C4—26no—
1512C4—26no—
1513C4—22no—
1514C4—22no—
1515C4—22no—
1516C4—22no—
1517C4—22no—
1518C4—22no—
1519C4—26no—
1520C4—43no—
1521C4—43no—
1522C4—43no—
1523C4—43no—
1524C4—41no—
1525C4—41no—
1526C4—43no—
1527C4—41no—
1528C4—43no—
1529C4—41no—
1530C4—43no—
1531C4—43no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4C2×#525112yes—
1537C2—24no—
1538C2—46no—
1539C2—46no—
1540C2—83no—
1541C2—83no—
1542C2C22×#52511yescharacteristic
1543C2C2×#351711yescharacteristic
1544C2#6285111yescharacteristic
1545C2D4×H(5,𝔽2)11yescharacteristic
1546C2#6298511yescharacteristic
1547C2#6300211yescharacteristic
1548C2#6300811yescharacteristic
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. C2×#3517C2semidirect
2. C22×#520C2semidirect
3. #36581C2semidirect
4. #36576C2semidirect
5. #36440C2semidirect
6. #36435C2semidirect
7. #36429C2semidirect
8. #36429C2semidirect
9. #36103C2semidirect
10. #36101C2semidirect
11. #36076C2semidirect
12. #36029C2semidirect
13. #36005C2semidirect
14. #35816C2semidirect
15. #35793C2semidirect
16. #35763C2semidirect
17. #35715C2semidirect
18. #35704C2semidirect
19. #35601C2semidirect
20. #35600C2semidirect
21. #35534C2semidirect
22. #35521C2semidirect
23. #35261C2semidirect
24. #35226C2semidirect
25. #34740C2semidirect
26. #34681C2semidirect
27. #34313C2semidirect
28. #34295C2semidirect
29. #34294C2semidirect
30. #34263C2semidirect
31. C4×#548C2semidirect
34. C2×#557C22semidirect
35. C2×#553C22semidirect
36. C2×#553C22semidirect
41. C2×#550C22semidirect
42. C2×#550C22semidirect
45. C2×#547C22semidirect
46. C2×#540C22semidirect
47. C2×#540C22semidirect
48. C2×#532C22semidirect
49. C2×#529C22semidirect
60. C2×#520C22semidirect
61. C2×C4×#41C22semidirect
74. #2635C22semidirect
75. #2630C22semidirect
76. #2629C22semidirect
77. #2624C22semidirect
78. #2624C22semidirect
79. #2619C22semidirect
80. #2602C22semidirect
81. #2600C22semidirect
82. #2591C22semidirect
83. #2581C22semidirect
84. #2579C22semidirect
85. #2566C22semidirect
86. #2565C22semidirect
87. #2548C22semidirect
88. #2541C22semidirect
89. #2538C22semidirect
90. #2538C22semidirect
91. #2535C22semidirect
92. #2504C22semidirect
93. #2501C22semidirect
94. #2487C22semidirect
95. #2486C22semidirect
97. #2481C22semidirect
99. #2479C22semidirect
100. #2478C22semidirect
101. #2477C22semidirect
102. #2476C22semidirect
103. #2476C22semidirect
104. #2476C22semidirect
105. #2475C22semidirect
106. #2474C22semidirect
109. #2471C22semidirect
110. #2471C22semidirect
111. #2471C22semidirect
112. #2470C22semidirect
113. #2466C22semidirect
114. #2464C22semidirect
115. #2464C22semidirect
116. #2461C22semidirect
117. #2457C22semidirect
118. #2456C22semidirect
119. #2456C22semidirect
120. #2456C22semidirect
121. #2454C22semidirect
122. #2453C22semidirect
123. #2452C22semidirect
124. #2451C22semidirect
126. #2449C22semidirect
127. #2445C22semidirect
128. #2445C22semidirect
129. #2445C22semidirect
130. #2445C22semidirect
133. #2443C22semidirect
134. #2443C22semidirect
136. #2442C22semidirect
138. #2440C22semidirect
145. #2428C22semidirect
146. #2428C22semidirect
147. #2426C22semidirect
148. #2426C22semidirect
152. #2422C22semidirect
153. #2422C22semidirect
154. #2420C22semidirect
155. #2420C22semidirect
159. #2416C22semidirect
160. #2416C22semidirect
161. #2414C22semidirect
162. #2413C22semidirect
169. #2407C22semidirect
170. #2406C22semidirect
171. #2396C22semidirect
172. #2395C22semidirect
173. #2395C22semidirect
174. #2392C22semidirect
175. #2392C22semidirect
176. #2388C22semidirect
177. #2367C22semidirect
178. #2367C22semidirect
179. #2366C22semidirect
180. #2366C22semidirect
181. #2363C22semidirect
182. #2362C22semidirect
185. #2361C22semidirect
186. #2361C22semidirect
187. #2361C22semidirect
188. #2360C22semidirect
189. #2357C22semidirect
190. #2354C22semidirect
192. #2352C22semidirect
193. #2351C22semidirect
194. #2351C22semidirect
195. #2351C22semidirect
196. Q8×C4⋊C4C22semidirect
197. Q8×C4⋊C4C22semidirect
198. Q8×C4⋊C4C22semidirect
200. D4×C4⋊C4C22semidirect
201. #2345C22semidirect
202. #2344C22semidirect
207. #2341C22semidirect
208. #2341C22semidirect
209. #2341C22semidirect
210. #2341C22semidirect
213. #2328C22semidirect
214. #2326C22semidirect
215. #2324C22semidirect
216. #2324C22semidirect
217. #2324C22semidirect
218. #2323C22semidirect
219. #2319C22semidirect
220. #2314C22semidirect
221. C4×#127C22semidirect
222. C4×#124C22semidirect
224. C4×C22⋊Q8C22semidirect
228. C4×#121C22semidirect
232. #2298C22semidirect
233. #2293C22semidirect
234. #2293C22semidirect
236. #2290C22semidirect
237. #2276C22semidirect
238. C42×Q8C22semidirect
329. #520D4semidirect
678. C2×#41#41semidirect
681. C22×Q8#41semidirect
1353. Q8#525semidirect
1503. C22#3517semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C22×#5202
#365812
#365762
#364402
#364352
#364292
#361032
#361012
#360762
#360292
#360052
#358162
#357932
#357632
#357152
#357042
#356012
#356002
#355342
#355212
#352612
#352262
#347402
#346812
#343132
#342952
#342942
#342632
C4×#5482