Finite Group Databasebeta

← #7632212

Subgroups — #7632212

Order 512.

8155 conjugacy classes of subgroups.

The subgroup lattice has 1514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3516C211yesmaximal, characteristic, complemented
2C22×#520C211yesmaximal, characteristic, complemented
3#36546C213yesmaximal, complemented
4Q8×#121C211yesmaximal, characteristic, complemented
5#36440C213yesmaximal, complemented
6#36435C211yesmaximal, characteristic, complemented
7#36428C211yesmaximal, characteristic, complemented
8#36428C211yesmaximal, characteristic, complemented
9#36163C213yesmaximal, complemented
10#36161C213yesmaximal, complemented
11#35996C211yesmaximal, characteristic, complemented
12#35983C211yesmaximal, characteristic, complemented
13#35846C213yesmaximal, complemented
14#35816C211yesmaximal, characteristic, complemented
15#35802C213yesmaximal, complemented
16#35763C213yesmaximal, complemented
17#35737C211yesmaximal, characteristic, complemented
18#35724C213yesmaximal, complemented
19#35654C213yesmaximal, complemented
20#35622C213yesmaximal, complemented
21#35606C213yesmaximal, complemented
22#35521C213yesmaximal, complemented
23#35310C213yesmaximal, complemented
24#35225C213yesmaximal, complemented
25#34740C213yesmaximal, complemented
26#34700C213yesmaximal, complemented
27#34312C211yesmaximal, characteristic, complemented
28#34294C211yesmaximal, characteristic, complemented
29#34291C211yesmaximal, characteristic, complemented
30#34263C211yesmaximal, characteristic, complemented
31C4×D4×Q8C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33#3516—216no—
34C2×#557C2211yescharacteristic, complemented
35C2×#556C2213yescomplemented
36C2×#554C2213yescomplemented
37C2×#553C2213yescomplemented
38C2×#552C2213yescomplemented
39C2×D4×Q8C2211yescharacteristic
40C2×D4×Q8C2211yescharacteristic
41C2×D4×Q8C2211yescharacteristic, complemented
42C2×#548C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#548C2211yescharacteristic
45C2×#548C2211yescharacteristic
46C2×#542C2213yescomplemented
47C2×#541C2213yescomplemented
48C2×#529C2213yescomplemented
49C2×#529C2213yescomplemented
50C2×#520—216no—
51C2×#520C2213yes—
52C2×#520C2211yescharacteristic
53C2×#520C2213yes—
54C2×#520C2213yes—
55C2×#520C2213yes—
56C2×#520C2211yescharacteristic
57C2×#520C2211yescharacteristic
58C2×#520C2211yescharacteristic
59C2×#519C2211yescharacteristic, complemented
60C22×C4×Q8C2211yescharacteristic
61C22×C4×Q8C2211yescharacteristic
62C22×C4×Q8C2211yescharacteristic, complemented
63C22×C4×D4C2213yes—
64C22×C4×D4C2213yes—
65C22×#117C2213yes—
66C23×C4⋊C4C2213yes—
67#2857C2213yes—
68#2851C2213yes—
69#2849C2216yes—
70#2848C2216yes—
71#2848C2213yes—
72#2848C2213yes—
73#2638C2216yescomplemented
74#2630C2216yescomplemented
75#2629C2213yescomplemented
76#2625C2213yescomplemented
77#2625C2213yescomplemented
78#2621C2213yescomplemented
79#2602C2216yescomplemented
80#2600C2216yescomplemented
81#2583C2216yescomplemented
82#2581C2213yescomplemented
83#2579C2216yescomplemented
84#2566C2213yescomplemented
85#2565C2213yescomplemented
86#2547C2213yescomplemented
87#2546C2213yescomplemented
88#2538C2213yescomplemented
89#2538C2213yescomplemented
90#2535C2213yescomplemented
91#2503C2213yescomplemented
92#2502C2213yescomplemented
93#2487C2213yescomplemented
94#2486C2213yescomplemented
95#2485C2216yescomplemented
96#2484C2216yescomplemented
97#2481C2213yes—
98#2481C2216yescomplemented
99#2480C2213yes—
100#2480C2216yes—
101#2480C2216yes—
102#2479C2213yescomplemented
103#2478C2213yescomplemented
104#2478C2216yescomplemented
105#2478C2216yescomplemented
106#2477C2213yescomplemented
107#2476C2213yescomplemented
108#2475C2213yescomplemented
109#2475C2216yescomplemented
110#2475C2216yescomplemented
111#2474C2213yescomplemented
112#2473C2216yes—
113#2473C2213yes—
114#2473C2216yescomplemented
115#2473C2216yescomplemented
116#2472C2213yes—
117#2471C2213yescomplemented
118#2470C2213yescomplemented
119#2468C2216yescomplemented
120#2468C2216yescomplemented
121#2466C2216yescomplemented
122#2466C2216yescomplemented
123#2466C2216yescomplemented
124#2461C2216yescomplemented
125#2457C2216yescomplemented
126#2456C2216yescomplemented
127#2454C2213yescomplemented
128#2453C2213yescomplemented
129#2452C2213yescomplemented
130#2451C2213yescomplemented
131#2449C2213yes—
132#2449C2216yescomplemented
133#2447C2213yescomplemented
134#2447C2213yescomplemented
135#2447C2213yescomplemented
136#2447C2213yescomplemented
137#2443C2211yescharacteristic
138#2442C2213yes—
139#2442C2213yescomplemented
140#2440C2213yes—
141#2440C2213yescomplemented
142#2435C2213yes—
143#2435C2213yes—
144#2432C2213yes—
145#2432C2213yes—
146#2432C2213yes—
147#2432C2213yes—
148#2429C2213yescomplemented
149#2429C2213yescomplemented
150#2427C2213yescomplemented
151#2427C2213yescomplemented
152#2424C2213yes—
153#2422C2213yescomplemented
154#2422C2213yescomplemented
155#2420C2213yescomplemented
156#2420C2213yescomplemented
157#2418C2213yes—
158#2417C2213yes—
159#2417C2213yes—
160#2417C2213yescomplemented
161#2417C2213yescomplemented
162#2415C2216yescomplemented
163#2413C2216yescomplemented
164#2408C2213yes—
165#2408C2213yes—
166#2407C2213yes—
167#2407C2213yes—
168#2407C2213yes—
169#2407C2213yes—
170#2396C2213yescomplemented
171#2395C2216yescomplemented
172#2395C2213yescomplemented
173#2395C2213yescomplemented
174#2392C2216yescomplemented
175#2392C2213yescomplemented
176#2367C2213yescomplemented
177#2367C2213yescomplemented
178#2365C2213yescomplemented
179#2365C2213yescomplemented
180#2363C2213yescomplemented
181#2362C2213yescomplemented
182#2361C2213yescomplemented
183#2360C2213yes—
184#2360C2213yes—
185#2360C2213yescomplemented
186#2360C2213yescomplemented
187#2360C2213yescomplemented
188#2357C2213yescomplemented
189#2354C2213yescomplemented
190#2352C2213yes—
191#2352C2213yescomplemented
192#2351C2211yescharacteristic, complemented
193#2351C2211yescharacteristic, complemented
194#2351C2211yescharacteristic, complemented
195Q8×C4⋊C4C2211yescharacteristic, complemented
196Q8×C4⋊C4C2211yescharacteristic, complemented
197Q8×C4⋊C4C2211yescharacteristic, complemented
198D4×C4⋊C4C2213yes—
199D4×C4⋊C4C2213yescomplemented
200#2345C2213yescomplemented
201#2344C2213yescomplemented
202#2341C2211yescharacteristic
203#2341C2211yescharacteristic
204#2341C2211yescharacteristic
205#2341C2211yescharacteristic
206Q8×C22⋊C4C2211yescharacteristic
207Q8×C22⋊C4C2211yescharacteristic
208Q8×C22⋊C4C2211yescharacteristic, complemented
209Q8×C22⋊C4C2211yescharacteristic, complemented
210Q8×C22⋊C4C2211yescharacteristic, complemented
211Q8×C22⋊C4C2211yescharacteristic, complemented
212#2327C2213yescomplemented
213#2326C2213yescomplemented
214#2324C2213yescomplemented
215#2323C2213yescomplemented
216#2323C2213yescomplemented
217#2323C2213yescomplemented
218#2319C2213yescomplemented
219#2314C2213yescomplemented
220C4×C4⋊Q8C2213yescomplemented
221C4×#124C2213yescomplemented
222C4×C22⋊Q8C2213yes—
223C4×C22⋊Q8C2213yes—
224C4×C22⋊Q8C2213yes—
225C4×C22⋊Q8C2213yescomplemented
226C4×#121C2213yes—
227C4×#121C2213yescomplemented
228C4×#120C2213yes—
229C4×#120C2213yes—
230C4×#120C2216yes—
231#2298C2213yescomplemented
232#2293C2213yescomplemented
233#2293C2213yescomplemented
234#2290C2213yes—
235#2290C2213yescomplemented
236#2280C2216yes—
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
247C23×Q8C2311yescharacteristic
248C23×Q8C2311yescharacteristic
249C23×Q8C2311yescharacteristic
250C23×D4C2313yes—
251C24×C4C2313yes—
252C24×C4C2316yes—
253#557—28no—
254#556—224no—
255#554—224no—
256#553—224no—
257#552—224no—
258D4×Q8—28no—
259D4×Q8—28no—
260D4×Q8—28no—
261#548—28no—
262#548—28no—
263#548—28no—
264#548—28no—
265#542—224no—
266#541—224no—
267C2×C4⋊Q8C2313yes—
268C2×C4⋊Q8C2313yes—
269C2×C4⋊Q8C2313yes—
270C2×C4⋊Q8C2313yes—
271#529—224no—
272#529—224no—
273C2×#126C2316yes—
274C2×#126C2313yes—
275C2×#126C2313yes—
276C2×#126C2316yes—
277C2×#125C2313yes—
278C2×#125C2313yes—
279C2×#125C2313yes—
280C2×#125C2316yes—
281C2×#124C2313yes—
282C2×#124C2313yes—
283C2×#124C2313yes—
284C2×#124C2313yes—
285C2×#124C2313yes—
286C2×#123C2316yes—
287C2×#123C2313yes—
288C2×#123C2311yescharacteristic
289C2×#123C2316yes—
290C2×C22⋊Q8C2313yes—
291C2×C22⋊Q8C2313yes—
292C2×C22⋊Q8C2313yes—
293C2×C22⋊Q8C2316yes—
294C2×C22⋊Q8C2313yes—
295C2×C22⋊Q8C2313yes—
296C2×C22⋊Q8C2313yes—
297C2×C22⋊Q8C2313yes—
298C2×C22⋊Q8C2313yes—
299C2×C22⋊Q8C2313yes—
300C2×C22⋊Q8C2313yes—
301C2×C22⋊Q8C2313yes—
302C2×C22⋊Q8C2313yes—
303C2×C22⋊Q8C2316yes—
304C2×#121C2313yes—
305C2×#121C2313yes—
306C2×#121C2313yes—
307C2×#121C2313yes—
308C2×#121C2313yes—
309C2×#121C2311yescharacteristic
310C2×#120C2313yes—
311C2×#120C2313yes—
312#520—28no—
313#520—28no—
314#520—28no—
315#520—224no—
316#520—224no—
317#520—224no—
318#520—224no—
319#520D4116yescomplemented
320#519—28no—
321C2×C4×Q8—28no—
322C2×C4×Q8—28no—
323C2×C4×Q8—28no—
324C2×C4×Q8C2313yes—
325C2×C4×Q8C2313yes—
326C2×C4×Q8C2313yes—
327C2×C4×Q8C2313yes—
328C2×C4×Q8C2313yes—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2313yes—
338C2×C4×Q8C2313yes—
339C2×C4×Q8C2313yes—
340C2×C4×Q8C2313yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×D4—224no—
344C2×C4×D4—224no—
345C2×C4×D4C2313yes—
346C2×C4×D4C2316yes—
347C2×C4×D4C2313yes—
348C2×C4×D4C2316yes—
349C2×C4×D4C2313yes—
350C2×C4×D4C2313yes—
351C2×C4×D4C2313yes—
352C2×C4×D4C2313yes—
353C2×C4×D4C2313yes—
354C2×C4×D4C2316yes—
355C2×C4×D4C2313yes—
356C2×C4×D4C2313yes—
357C2×C4×D4C2313yes—
358C2×C4×D4C2313yes—
359C2×C4×D4C2313yes—
360C2×C4×D4C2313yes—
361C2×C4×D4C2316yes—
362C2×C4×D4C2316yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2313yes—
365C2×C4×D4C2316yes—
366C2×C4×D4C2313yes—
367C2×C4×D4C2313yes—
368C2×#117—224no—
369C2×#117C2313yes—
370C2×#117C2313yes—
371C2×#117C2313yes—
372C2×#117C2313yes—
373C2×#117C2313yes—
374C2×#117C2316yes—
375C2×#117C2313yes—
376C2×#117C2313yes—
377C2×#117C2313yes—
378C2×#117C2313yes—
379C2×#117C2316yes—
380C2×#117C2313yes—
381C22×C4⋊C4—224no—
382C22×C4⋊C4C2316yes—
383C22×C4⋊C4C2313yes—
384C22×C4⋊C4C2313yes—
385C22×C4⋊C4C2313yes—
386C22×C4⋊C4C2313yes—
387C22×C4⋊C4C2313yes—
388C22×C4⋊C4C2313yes—
389C22×C4⋊C4C2316yes—
390C22×C4⋊C4C2313yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2313yes—
393C22×C22⋊C4C2313yes—
394C22×C22⋊C4C2313yes—
395C22×C42C2313yes—
396C22×C42C2313yes—
397C22×C42C2313yes—
398#400C2316yes—
399#400C2313yes—
400#400C2316yes—
401#400C2313yes—
402#400C2313yes—
403#399C2311yescharacteristic
404#399C2313yes—
405#399C2313yes—
406#398C2316yes—
407#398C2316yes—
408#398C2316yes—
409#398C2316yes—
410#398C2316yes—
411#398C2313yes—
412#398C2313yes—
413#398C2316yes—
414#398C2313yes—
415#398C2316yes—
416#398C2313yes—
417#398C2311yescharacteristic
418#397C2316yes—
419#397C2316yes—
420#397C2316yes—
421#397C2316yes—
422#397C2316yes—
423#397C2316yes—
424#397C2313yes—
425#397C2313yes—
426#397C2313yes—
427#397C2311yescharacteristic
428#397C2313yes—
429#397C2313yes—
430#397C2313yes—
431#396C2313yes—
432#396C2316yes—
433#396C2313yes—
434#396C2316yes—
435#396C2316yes—
436#396C2316yes—
437#396C2313yes—
438#396C2313yes—
439#395C2316yes—
440#395C2313yes—
441#394C2313yes—
442#394C2316yes—
443#394C2313yes—
444#394C2316yes—
445#394C2313yes—
446#394C2313yes—
447#394C2316yes—
448#394C2316yes—
449#394C2313yes—
450#394C2311yescharacteristic
451#394C2313yes—
452#394C2316yes—
453#394C2316yes—
454#393C2313yes—
455#392C2316yes—
456#392C2316yes—
457#392C2313yes—
458#391C2313yes—
459#391C2313yes—
460#391C2313yes—
461#391C2313yes—
462#391C2313yes—
463#391C2313yes—
464#391C2313yes—
465#391C2313yes—
466#391C2313yes—
467#391C2313yes—
468#391C2313yes—
469#391C2313yes—
470#391C2313yes—
471#390C2313yes—
472#390C2313yes—
473#390C2313yes—
474#390C2313yes—
475#390C2313yes—
476#390C2313yes—
477#390C2313yes—
478#390C2313yes—
479#390C2313yes—
480#390C2313yes—
481#390C2313yes—
482#389C2316yes—
483#389C2316yes—
484#389C2313yes—
485#389C2313yes—
486#389C2313yes—
487#389C2316yes—
488#389C2316yes—
489#389C2313yes—
490#389C2313yes—
491#389C2313yes—
492#389C2313yes—
493#389C2313yes—
494#389C2313yes—
495#389C2313yes—
496#389C2313yes—
497#389C2316yes—
498#389C2316yes—
499#389C2313yes—
500#389C2313yes—
501#389C2313yes—
502#389C2313yes—
503#389C2313yes—
504#388C2316yes—
505#388C2316yes—
506#388C2313yes—
507#388C2313yes—
508#388C2316yes—
509#388C2316yes—
510#388C2316yes—
511#388C2316yes—
512#388C2316yes—
513#388C2313yes—
514#388C2313yes—
515#388C2313yes—
516#388C2313yes—
517#388C2313yes—
518#388C2313yes—
519#388C2313yes—
520#388C2313yes—
521#388C2313yes—
522#388C2313yes—
523#388C2313yes—
524#388C2311yescharacteristic
525#387C2313yes—
526#387C2316yes—
527#387C2313yes—
528#387C2316yes—
529#387C2313yes—
530#387C2316yes—
531#387C2316yes—
532#387C2316yes—
533#387C2313yes—
534#387C2313yes—
535#387C2316yes—
536#387C2316yes—
537#387C2313yes—
538#387C2313yes—
539#387C2316yes—
540#387C2313yes—
541#387C2316yes—
542#387C2313yes—
543#387C2311yescharacteristic
544#386C2313yes—
545#386C2316yes—
546#386C2316yes—
547#386C2313yes—
548#386C2313yes—
549#386C2316yes—
550#386C2313yes—
551#386C2316yes—
552#386C2313yes—
553#386C2313yes—
554#386C2313yes—
555#386C2313yes—
556#386C2313yes—
557#386C2311yescharacteristic
558#386C2311yescharacteristic
559#386C2311yescharacteristic
560#385C2316yes—
561#385C2316yes—
562#385C2313yes—
563#385C2316yes—
564#385C2316yes—
565#385C2316yes—
566#385C2316yes—
567#385C2316yes—
568#385C2316yes—
569#385C2313yes—
570#385C2316yes—
571#385C2316yes—
572#385C2313yes—
573#385C2313yes—
574#385C2313yes—
575#385C2316yes—
576#385C2316yes—
577#385C2316yes—
578#385C2316yes—
579#385C2316yes—
580#385C2313yes—
581#385C2313yes—
582#385C2313yes—
583#385C2313yes—
584#385C2313yes—
585#385C2311yescharacteristic
586#385C2311yescharacteristic
587#384C2313yes—
588#384C2313yes—
589#384C2313yes—
590#382C2313yes—
591#382C2313yes—
592#382C2313yes—
593#381C2316yes—
594#381C2316yes—
595#381C2316yes—
596#381C2316yes—
597#380C2313yes—
598#380C2313yes—
599#380C2316yes—
600#380C2313yes—
601#380C2313yes—
602#380C2313yes—
603#380C2313yes—
604#380C2313yes—
605#380C2313yes—
606#380C2316yes—
607#380C2316yes—
608#380C2313yes—
609#380C2313yes—
610#380C2313yes—
611#380C2316yes—
612#380C2313yes—
613#380C2316yes—
614#379C2316yes—
615#379C2313yes—
616#379C2316yes—
617#379C2313yes—
618C4×C4⋊C4C2313yes—
619C4×C4⋊C4C2316yes—
620C4×C4⋊C4C2313yes—
621C4×C4⋊C4C2313yes—
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⋊C4C2316yes—
633C4×C4⋊C4C2313yes—
634C4×C22⋊C4C2316yes—
635C4×C22⋊C4C2313yes—
636C4×C22⋊C4C2313yes—
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⋊C4C2316yes—
646C4×C22⋊C4C2316yes—
647C4×C22⋊C4C2313yes—
648C4×C22⋊C4C2313yes—
649C4×C22⋊C4C2316yes—
650C4×C22⋊C4C2316yes—
651C4×C22⋊C4C2313yes—
652C4×C22⋊C4C2313yes—
653#376C2313yes—
654C43C2313yes—
655C25C2413yes—
656C2×#41—2128no—
657C2×#41—24no—
658C2×#41—212no—
659C2×#41—212no—
660C2×#41—24no—
661C2×#41—24no—
662C2×#41—24no—
663C2×#41—212no—
664C2×#41—212no—
665C2×#41—212no—
666C2×#41—212no—
667C2×#41C2×D418yes—
668C2×#41#4118yes—
669C22×Q8—24no—
670C22×Q8—24no—
671C22×Q8—24no—
672C22×Q8—24no—
673C22×Q8—24no—
674C22×Q8—24no—
675C22×Q8—24no—
676C22×Q8—24no—
677C22×Q8#4118yes—
678C22×Q8C2413yes—
679C22×Q8C2413yes—
680C22×Q8C2413yes—
681C22×Q8C2413yes—
682C22×Q8C2411yescharacteristic
683C22×D4—212no—
684C22×D4—212no—
685C22×D4—212no—
686C22×D4C2416yes—
687C22×D4C2411yescharacteristic
688C22×D4C2413yes—
689C22×D4C2413yes—
690C22×D4C2411yescharacteristic
691C22×D4C2413yes—
692C22×D4C2413yes—
693C22×D4C2411yescharacteristic
694C22×D4C2413yes—
695C22×D4C2413yes—
696C23×C4—212no—
697C23×C4—212no—
698C23×C4—212no—
699C23×C4—224no—
700C23×C4—412no—
701C23×C4—86no—
702C23×C4C2411yescharacteristic
703C23×C4C2413yes—
704C23×C4C2413yes—
705C23×C4C2413yes—
706C23×C4C2413yes—
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2413yes—
710C23×C4C2413yes—
711C23×C4C2411yescharacteristic
712C23×C4C2413yes—
713C23×C4C2413yes—
714C23×C4C2413yes—
715C23×C4C2413yes—
716C23×C4C2416yes—
717C23×C4C2416yes—
718C23×C4C2416yes—
719C23×C4C2416yes—
720C4⋊Q8—212no—
721C4⋊Q8—212no—
722C4⋊Q8—212no—
723C4⋊Q8—212no—
724#126—212no—
725#126—224no—
726#126—212no—
727#126—224no—
728#125—212no—
729#125—212no—
730#125—224no—
731#125—212no—
732#124—212no—
733#124—212no—
734#124—212no—
735#124—212no—
736#124—212no—
737#123—224no—
738#123—24no—
739#123—212no—
740#123—86no—
741C22⋊Q8—212no—
742C22⋊Q8—212no—
743C22⋊Q8—212no—
744C22⋊Q8—212no—
745C22⋊Q8—224no—
746C22⋊Q8—212no—
747C22⋊Q8—212no—
748C22⋊Q8—212no—
749C22⋊Q8—212no—
750C22⋊Q8—212no—
751C22⋊Q8—212no—
752C22⋊Q8—212no—
753C22⋊Q8—46no—
754C22⋊Q8—86no—
755#121—212no—
756#121—212no—
757#121—212no—
758#121—212no—
759#121—24no—
760#121—212no—
761#120—212no—
762#120—46no—
763C4×Q8—24no—
764C4×Q8—24no—
765C4×Q8—24no—
766C4×Q8—24no—
767C4×Q8—24no—
768C4×Q8—24no—
769C4×Q8—24no—
770C4×Q8—24no—
771C4×Q8—212no—
772C4×Q8—212no—
773C4×Q8—212no—
774C4×Q8—212no—
775C4×Q8—212no—
776C4×Q8—212no—
777C4×Q8—212no—
778C4×Q8—212no—
779C4×Q8—212no—
780C4×Q8C2×D418yes—
781C4×Q8C2×D418yes—
782C4×D4—212no—
783C4×D4—212no—
784C4×D4—24no—
785C4×D4—224no—
786C4×D4—224no—
787C4×D4—212no—
788C4×D4—212no—
789C4×D4—224no—
790C4×D4—212no—
791C4×D4—212no—
792C4×D4—212no—
793C4×D4—212no—
794C4×D4—212no—
795C4×D4—212no—
796C4×D4—224no—
797C4×D4—224no—
798C4×D4—212no—
799C4×D4—212no—
800C4×D4—212no—
801C4×D4—46no—
802C4×D4—86no—
803C4×D4C2×D4124yes—
804C4×D4C2×D4124yes—
805#117—212no—
806#117—224no—
807#117—212no—
808#117—212no—
809#117—212no—
810#117—212no—
811#117—212no—
812#117—212no—
813#117—212no—
814#117—212no—
815#117—86no—
816#117C2×D4124yes—
817C2×C4⋊C4—224no—
818C2×C4⋊C4—212no—
819C2×C4⋊C4—212no—
820C2×C4⋊C4—212no—
821C2×C4⋊C4—212no—
822C2×C4⋊C4—212no—
823C2×C4⋊C4—212no—
824C2×C4⋊C4—224no—
825C2×C4⋊C4—24no—
826C2×C4⋊C4—212no—
827C2×C4⋊C4C2×D4124yes—
828C2×C4⋊C4C2413yes—
829C2×C4⋊C4C2413yes—
830C2×C4⋊C4C2413yes—
831C2×C4⋊C4C2413yes—
832C2×C4⋊C4C2413yes—
833C2×C4⋊C4C2416yes—
834C2×C4⋊C4C2416yes—
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2413yes—
839C2×C4⋊C4C2416yes—
840C2×C4⋊C4C2413yes—
841C2×C4⋊C4C2413yes—
842C2×C4⋊C4C2413yes—
843C2×C4⋊C4C2413yes—
844C2×C4⋊C4C2416yes—
845C2×C4⋊C4C2413yes—
846C2×C4⋊C4C2413yes—
847C2×C4⋊C4C2413yes—
848C2×C4⋊C4C2413yes—
849C2×C4⋊C4C2416yes—
850C2×C4⋊C4C2413yes—
851C2×C4⋊C4C2413yes—
852C2×C4⋊C4C2413yes—
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2411yescharacteristic
855C2×C4⋊C4C2413yes—
856C2×C4⋊C4C2413yes—
857C2×C4⋊C4C2413yes—
858C2×C4⋊C4C2413yes—
859C2×C4⋊C4C2413yes—
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2416yes—
862C2×C4⋊C4C2416yes—
863C2×C4⋊C4C2413yes—
864C2×C4⋊C4C2416yes—
865C2×C4⋊C4C2416yes—
866C2×C4⋊C4C2413yes—
867C2×C4⋊C4C2413yes—
868C2×C4⋊C4C2416yes—
869C2×C4⋊C4C2413yes—
870C2×C4⋊C4C2413yes—
871C2×C4⋊C4C2413yes—
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2413yes—
874C2×C4⋊C4C2413yes—
875C2×C4⋊C4C2413yes—
876C2×C4⋊C4C2413yes—
877C2×C4⋊C4C2413yes—
878C2×C4⋊C4C2413yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C22⋊C4—212no—
881C2×C22⋊C4—212no—
882C2×C22⋊C4C2413yes—
883C2×C22⋊C4C2413yes—
884C2×C22⋊C4C2413yes—
885C2×C22⋊C4C2413yes—
886C2×C22⋊C4C2413yes—
887C2×C22⋊C4C2413yes—
888C2×C22⋊C4C2413yes—
889C2×C22⋊C4C2411yescharacteristic
890C2×C22⋊C4C2413yes—
891C2×C22⋊C4C2416yes—
892C2×C22⋊C4C2411yescharacteristic
893C2×C22⋊C4C2413yes—
894C2×C22⋊C4C2411yescharacteristic
895C2×C22⋊C4C2411yescharacteristic
896C2×C22⋊C4C2411yescharacteristic
897C2×C22⋊C4C2413yes—
898C2×C22⋊C4C2416yes—
899C2×C22⋊C4C2413yes—
900C2×C22⋊C4C2413yes—
901C2×C22⋊C4C2413yes—
902C2×C22⋊C4C2413yes—
903C2×C22⋊C4C2413yes—
904C2×C22⋊C4C2413yes—
905C2×C22⋊C4C2413yes—
906C2×C22⋊C4C2413yes—
907C2×C22⋊C4C2411yescharacteristic
908C2×C22⋊C4C2411yescharacteristic
909C2×C22⋊C4C2413yes—
910C2×C22⋊C4C2413yes—
911C2×C22⋊C4C2413yes—
912C2×C22⋊C4C2416yes—
913C2×C22⋊C4C2416yes—
914C2×C22⋊C4C2411yescharacteristic
915C2×C22⋊C4C2411yescharacteristic
916C2×C22⋊C4C2411yescharacteristic
917C2×C22⋊C4C2413yes—
918C2×C22⋊C4C2416yes—
919C2×C22⋊C4C2413yes—
920C2×C22⋊C4C2416yes—
921C2×C22⋊C4C2413yes—
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2413yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2411yescharacteristic
929C2×C22⋊C4C2416yes—
930C2×C22⋊C4C2416yes—
931C2×C22⋊C4C2413yes—
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2413yes—
934C2×C42—212no—
935C2×C42—212no—
936C2×C42—212no—
937C2×C42C2413yes—
938C2×C42C2413yes—
939C2×C42C2413yes—
940C2×C42C2413yes—
941C2×C42C2413yes—
942C2×C42C2413yes—
943C2×C42C2416yes—
944C2×C42C2413yes—
945C2×C42C2413yes—
946C2×C42C2413yes—
947C2×C42C2413yes—
948C2×C42C2413yes—
949C2×C42C2413yes—
950C2×C42C2413yes—
951C2×C42C2411yescharacteristic
952C2×C42C2413yes—
953C2×C42C2413yes—
954C2×C42C2416yes—
955C2×C42C2413yes—
956C2×C42C2413yes—
957C2×C42C2413yes—
958C2×C42C2413yes—
959#95C2411yescharacteristic
960#95C2413yes—
961#95C2413yes—
962#95C2413yes—
963#95C2411yescharacteristic
964#95C2411yescharacteristic
965#95C2411yescharacteristic
966#95C2411yescharacteristic
967#95C2413yes—
968#95C2413yes—
969#95C2413yes—
970#95C2413yes—
971#95C2413yes—
972#95C2413yes—
973#95C2413yes—
974#95C2413yes—
975#95C2413yes—
976#95C2413yes—
977#95C2413yes—
978#95C2416yes—
979#95C2416yes—
980#95C2416yes—
981#95C2413yes—
982#95C2413yes—
983#95C2413yes—
984#95C2413yes—
985#95C2413yes—
986#95C2416yes—
987#95C2413yes—
988#95C2413yes—
989#95C2413yes—
990#95C2416yes—
991#95C2416yes—
992#95C2413yes—
993#95C2413yes—
994#95C2416yes—
995#95C2411yescharacteristic
996#95C2411yescharacteristic
997#95C2411yescharacteristic
998#95C2416yes—
999#95C2416yes—
1000#95C2416yes—
1001#95C2413yes—
1002#95C2413yes—
1003#95C2413yes—
1004#95C2413yes—
1005C24—26no—
1006C24—26no—
1007C24—26no—
1008C24—26no—
1009C24—26no—
1010C24—43no—
1011C24—43no—
1012C24C2511yescharacteristic
1013C24C2513yes—
1014C24C2513yes—
1015C24C2511yescharacteristic
1016C24C2511yescharacteristic
1017#41—296no—
1018#41—296no—
1019#41—232no—
1020#41—232no—
1021C2×Q8—232no—
1022C2×Q8—26no—
1023C2×Q8—26no—
1024C2×Q8—26no—
1025C2×Q8—26no—
1026C2×Q8—26no—
1027C2×Q8—26no—
1028C2×Q8—26no—
1029C2×Q8—26no—
1030C2×Q8—26no—
1031C2×Q8—43no—
1032C2×Q8—43no—
1033C2×Q8—416no—
1034C2×Q8—416no—
1035C2×Q8C22×D414yes—
1036C2×Q8C2×#41112yes—
1037C2×Q8C2×#4114yes—
1038C2×Q8C2×#4114yes—
1039C2×D4—296no—
1040C2×D4—212no—
1041C2×D4—22no—
1042C2×D4—212no—
1043C2×D4—22no—
1044C2×D4—26no—
1045C2×D4—22no—
1046C2×D4—26no—
1047C2×D4—26no—
1048C2×D4—26no—
1049C2×D4—22no—
1050C2×D4—22no—
1051C2×D4—22no—
1052C2×D4—26no—
1053C2×D4—26no—
1054C2×D4—26no—
1055C2×D4—22no—
1056C2×D4—212no—
1057C2×D4—26no—
1058C2×D4—26no—
1059C2×D4—26no—
1060C2×D4—43no—
1061C2×D4—41no—
1062C2×D4—43no—
1063C2×D4—43no—
1064C2×D4—43no—
1065C2×D4—43no—
1066C2×D4—43no—
1067C2×D4C22×D4112yes—
1068C2×D4C2×#41112yes—
1069C2×D42−1+414yes—
1070C22×C4—296no—
1071C22×C4—26no—
1072C22×C4—22no—
1073C22×C4—26no—
1074C22×C4—26no—
1075C22×C4—22no—
1076C22×C4—26no—
1077C22×C4—26no—
1078C22×C4—22no—
1079C22×C4—26no—
1080C22×C4—26no—
1081C22×C4—26no—
1082C22×C4—26no—
1083C22×C4—26no—
1084C22×C4—26no—
1085C22×C4—26no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—26no—
1090C22×C4—26no—
1091C22×C4—212no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—26no—
1096C22×C4—26no—
1097C22×C4—26no—
1098C22×C4—26no—
1099C22×C4—26no—
1100C22×C4—26no—
1101C22×C4—26no—
1102C22×C4—26no—
1103C22×C4—26no—
1104C22×C4—212no—
1105C22×C4—212no—
1106C22×C4—46no—
1107C22×C4—46no—
1108C22×C4—43no—
1109C22×C4—43no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—43no—
1114C22×C4—43no—
1115C22×C4—46no—
1116C22×C4—46no—
1117C22×C4—46no—
1118C22×C4—46no—
1119C22×C4—46no—
1120C22×C4—46no—
1121C22×C4—848no—
1122C22×C4C22×D4112yes—
1123C22×C4C22×D4124yes—
1124C22×C4C2×#41112yes—
1125C22×C4C2×#41112yes—
1126C22×C4C2511yescharacteristic
1127C22×C4C2513yes—
1128C22×C4C2513yes—
1129C22×C4C2511yescharacteristic
1130C22×C4C2511yescharacteristic
1131C22×C4C2511yescharacteristic
1132C22×C4C2511yescharacteristic
1133C22×C4C2511yescharacteristic
1134C22×C4C2513yes—
1135C22×C4C2513yes—
1136C22×C4C2513yes—
1137C22×C4C2513yes—
1138C22×C4C2513yes—
1139C22×C4C2513yes—
1140C22×C4C2513yes—
1141C22×C4C2511yescharacteristic
1142C22×C4C2513yes—
1143C22×C4C2511yescharacteristic
1144C22×C4C2511yescharacteristic
1145C22×C4C2513yes—
1146C22×C4C2511yescharacteristic
1147C22×C4C2513yes—
1148C22×C4C2513yes—
1149C22×C4C2511yescharacteristic
1150C22×C4C2511yescharacteristic
1151C22×C4C2513yes—
1152C4⋊C4—26no—
1153C4⋊C4—26no—
1154C4⋊C4—26no—
1155C4⋊C4—212no—
1156C4⋊C4—212no—
1157C4⋊C4—26no—
1158C4⋊C4—26no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—26no—
1163C4⋊C4—212no—
1164C4⋊C4—26no—
1165C4⋊C4—26no—
1166C4⋊C4—26no—
1167C4⋊C4—26no—
1168C4⋊C4—212no—
1169C4⋊C4—26no—
1170C4⋊C4—26no—
1171C4⋊C4—212no—
1172C4⋊C4—26no—
1173C4⋊C4—22no—
1174C4⋊C4—26no—
1175C4⋊C4—26no—
1176C4⋊C4—26no—
1177C4⋊C4—26no—
1178C4⋊C4—26no—
1179C4⋊C4—26no—
1180C4⋊C4—26no—
1181C4⋊C4—26no—
1182C4⋊C4—26no—
1183C4⋊C4—212no—
1184C4⋊C4—212no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
1187C4⋊C4—43no—
1188C4⋊C4—43no—
1189C4⋊C4—41no—
1190C4⋊C4—43no—
1191C4⋊C4—43no—
1192C4⋊C4—46no—
1193C4⋊C4—43no—
1194C4⋊C4—46no—
1195C4⋊C4—43no—
1196C4⋊C4—43no—
1197C4⋊C4—43no—
1198C4⋊C4—43no—
1199C4⋊C4—46no—
1200C4⋊C4C22×D4112yes—
1201C4⋊C4C22×D4112yes—
1202C4⋊C4C22×D4112yes—
1203C4⋊C4C22×D414yes—
1204C22⋊C4—26no—
1205C22⋊C4—26no—
1206C22⋊C4—26no—
1207C22⋊C4—212no—
1208C22⋊C4—212no—
1209C22⋊C4—26no—
1210C22⋊C4—26no—
1211C22⋊C4—26no—
1212C22⋊C4—26no—
1213C22⋊C4—26no—
1214C22⋊C4—212no—
1215C22⋊C4—212no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—26no—
1219C22⋊C4—22no—
1220C22⋊C4—26no—
1221C22⋊C4—22no—
1222C22⋊C4—26no—
1223C22⋊C4—26no—
1224C22⋊C4—26no—
1225C22⋊C4—26no—
1226C22⋊C4—26no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—26no—
1230C22⋊C4—22no—
1231C22⋊C4—26no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—26no—
1235C22⋊C4—26no—
1236C22⋊C4—26no—
1237C22⋊C4—26no—
1238C22⋊C4—22no—
1239C22⋊C4—43no—
1240C22⋊C4—46no—
1241C22⋊C4—46no—
1242C22⋊C4—41no—
1243C22⋊C4—43no—
1244C22⋊C4—43no—
1245C22⋊C4—46no—
1246C22⋊C4—43no—
1247C22⋊C4—43no—
1248C22⋊C4—46no—
1249C22⋊C4—43no—
1250C22⋊C4—43no—
1251C22⋊C4—43no—
1252C22⋊C4—43no—
1253C22⋊C4—43no—
1254C22⋊C4C22×D4112yes—
1255C22⋊C4C22×D4112yes—
1256C42—26no—
1257C42—26no—
1258C42—26no—
1259C42—26no—
1260C42—26no—
1261C42—26no—
1262C42—26no—
1263C42—26no—
1264C42—26no—
1265C42—212no—
1266C42—26no—
1267C42—26no—
1268C42—26no—
1269C42—26no—
1270C42—26no—
1271C42—22no—
1272C42—43no—
1273C42—43no—
1274C42—46no—
1275C42—43no—
1276C42C22×D4112yes—
1277C42C22×D4112yes—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—224no—
1283C23—21no—
1284C23—23no—
1285C23—21no—
1286C23—21no—
1287C23—23no—
1288C23—23no—
1289C23—23no—
1290C23—23no—
1291C23—23no—
1292C23—21no—
1293C23—23no—
1294C23—23no—
1295C23—23no—
1296C23—23no—
1297C23—21no—
1298C23—23no—
1299C23—23no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—412no—
1309C23—412no—
1310C23—412no—
1311C23—412no—
1312C23—412no—
1313C23—412no—
1314C23C23×D416yes—
1315C23C22×#4116yes—
1316C23C22×#4112yes—
1317C23C2×2−1+412yes—
1318C23C2×2−1+412yes—
1319C23#58512yes—
1320C23C2611yescharacteristic
1321Q8—224no—
1322Q8—412no—
1323Q8—412no—
1324Q8—86no—
1325Q8#525116yes—
1326D4—248no—
1327D4—28no—
1328D4—224no—
1329D4—224no—
1330D4—44no—
1331D4—412no—
1332D4—412no—
1333D4—44no—
1334D4—86no—
1335D4—86no—
1336C2×C4—28no—
1337C2×C4—224no—
1338C2×C4—224no—
1339C2×C4—23no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—23no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—23no—
1350C2×C4—23no—
1351C2×C4—23no—
1352C2×C4—23no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—224no—
1356C2×C4—224no—
1357C2×C4—224no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—23no—
1363C2×C4—23no—
1364C2×C4—23no—
1365C2×C4—23no—
1366C2×C4—23no—
1367C2×C4—23no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—23no—
1372C2×C4—23no—
1373C2×C4—23no—
1374C2×C4—23no—
1375C2×C4—23no—
1376C2×C4—23no—
1377C2×C4—23no—
1378C2×C4—23no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—23no—
1382C2×C4—23no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—23no—
1387C2×C4—23no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—23no—
1392C2×C4—23no—
1393C2×C4—21no—
1394C2×C4—23no—
1395C2×C4—23no—
1396C2×C4—23no—
1397C2×C4—21no—
1398C2×C4—23no—
1399C2×C4—23no—
1400C2×C4—23no—
1401C2×C4—23no—
1402C2×C4—23no—
1403C2×C4—21no—
1404C2×C4—23no—
1405C2×C4—21no—
1406C2×C4—23no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—424no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—412no—
1414C2×C4—412no—
1415C2×C4—412no—
1416C2×C4—412no—
1417C2×C4—86no—
1418C2×C4—812no—
1419C2×C4—812no—
1420C2×C4—812no—
1421C2×C4C23×D412yes—
1422C2×C4C23×D416yes—
1423C2×C4C23×D412yes—
1424C2×C4C23×D416yes—
1425C2×C4C23×D412yes—
1426C2×C4C23×D416yes—
1427C2×C4C22×#4112yes—
1428C2×C4C22×#4116yes—
1429C2×C4C22×#4116yes—
1430C2×C4C22×#4116yes—
1431C2×C4C2×2−1+412yes—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—22no—
1437C22—22no—
1438C22—26no—
1439C22—26no—
1440C22—22no—
1441C22—26no—
1442C22—22no—
1443C22—26no—
1444C22—22no—
1445C22—26no—
1446C22—26no—
1447C22—448no—
1448C22—43no—
1449C22—41no—
1450C22—41no—
1451C22—43no—
1452C22—43no—
1453C22—43no—
1454C22—43no—
1455C22—43no—
1456C22—41no—
1457C22—43no—
1458C22—43no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22#351614yescomplemented
1468C22C24×D411yescharacteristic
1469C22C23×#4111yescharacteristic
1470C22C23×#4111yescharacteristic
1471C22C22×2−1+411yescharacteristic
1472C22C2×#58511yescharacteristic
1473C22H(7,𝔽2)11yescharacteristic
1474C222−1+611yescharacteristic
1475C4—26no—
1476C4—26no—
1477C4—22no—
1478C4—22no—
1479C4—22no—
1480C4—22no—
1481C4—22no—
1482C4—26no—
1483C4—43no—
1484C4—43no—
1485C4—43no—
1486C4—41no—
1487C4—41no—
1488C4—43no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—43no—
1493C4—41no—
1494C4—43no—
1495C4—41no—
1496C4—43no—
1497C4—43no—
1498C4—43no—
1499C4—43no—
1500C4C2×#525112yes—
1501C2—24no—
1502C2—42no—
1503C2—46no—
1504C2—46no—
1505C2—81no—
1506C2C22×#52511yescharacteristic
1507C2C2×#351611yescharacteristic
1508C2#6285111yescharacteristic
1509C2#6298711yescharacteristic
1510C2#6299311yescharacteristic
1511C2D4×2−1+411yescharacteristic
1512C2#6300011yescharacteristic
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×#3516C2semidirect
2. C22×#520C2semidirect
3. #36546C2semidirect
4. Q8×#121C2semidirect
5. #36440C2semidirect
6. #36435C2semidirect
7. #36428C2semidirect
8. #36428C2semidirect
9. #36163C2semidirect
10. #36161C2semidirect
11. #35996C2semidirect
12. #35983C2semidirect
13. #35846C2semidirect
14. #35816C2semidirect
15. #35802C2semidirect
16. #35763C2semidirect
17. #35737C2semidirect
18. #35724C2semidirect
19. #35654C2semidirect
20. #35622C2semidirect
21. #35606C2semidirect
22. #35521C2semidirect
23. #35310C2semidirect
24. #35225C2semidirect
25. #34740C2semidirect
26. #34700C2semidirect
27. #34312C2semidirect
28. #34294C2semidirect
29. #34291C2semidirect
30. #34263C2semidirect
31. C4×D4×Q8C2semidirect
34. C2×#557C22semidirect
35. C2×#556C22semidirect
36. C2×#554C22semidirect
37. C2×#553C22semidirect
38. C2×#552C22semidirect
41. C2×D4×Q8C22semidirect
46. C2×#542C22semidirect
47. C2×#541C22semidirect
48. C2×#529C22semidirect
49. C2×#529C22semidirect
59. C2×#519C22semidirect
62. C22×C4×Q8C22semidirect
73. #2638C22semidirect
74. #2630C22semidirect
75. #2629C22semidirect
76. #2625C22semidirect
77. #2625C22semidirect
78. #2621C22semidirect
79. #2602C22semidirect
80. #2600C22semidirect
81. #2583C22semidirect
82. #2581C22semidirect
83. #2579C22semidirect
84. #2566C22semidirect
85. #2565C22semidirect
86. #2547C22semidirect
87. #2546C22semidirect
88. #2538C22semidirect
89. #2538C22semidirect
90. #2535C22semidirect
91. #2503C22semidirect
92. #2502C22semidirect
93. #2487C22semidirect
94. #2486C22semidirect
95. #2485C22semidirect
96. #2484C22semidirect
98. #2481C22semidirect
102. #2479C22semidirect
103. #2478C22semidirect
104. #2478C22semidirect
105. #2478C22semidirect
106. #2477C22semidirect
107. #2476C22semidirect
108. #2475C22semidirect
109. #2475C22semidirect
110. #2475C22semidirect
111. #2474C22semidirect
114. #2473C22semidirect
115. #2473C22semidirect
117. #2471C22semidirect
118. #2470C22semidirect
119. #2468C22semidirect
120. #2468C22semidirect
121. #2466C22semidirect
122. #2466C22semidirect
123. #2466C22semidirect
124. #2461C22semidirect
125. #2457C22semidirect
126. #2456C22semidirect
127. #2454C22semidirect
128. #2453C22semidirect
129. #2452C22semidirect
130. #2451C22semidirect
132. #2449C22semidirect
133. #2447C22semidirect
134. #2447C22semidirect
135. #2447C22semidirect
136. #2447C22semidirect
139. #2442C22semidirect
141. #2440C22semidirect
148. #2429C22semidirect
149. #2429C22semidirect
150. #2427C22semidirect
151. #2427C22semidirect
153. #2422C22semidirect
154. #2422C22semidirect
155. #2420C22semidirect
156. #2420C22semidirect
160. #2417C22semidirect
161. #2417C22semidirect
162. #2415C22semidirect
163. #2413C22semidirect
170. #2396C22semidirect
171. #2395C22semidirect
172. #2395C22semidirect
173. #2395C22semidirect
174. #2392C22semidirect
175. #2392C22semidirect
176. #2367C22semidirect
177. #2367C22semidirect
178. #2365C22semidirect
179. #2365C22semidirect
180. #2363C22semidirect
181. #2362C22semidirect
182. #2361C22semidirect
185. #2360C22semidirect
186. #2360C22semidirect
187. #2360C22semidirect
188. #2357C22semidirect
189. #2354C22semidirect
191. #2352C22semidirect
192. #2351C22semidirect
193. #2351C22semidirect
194. #2351C22semidirect
195. Q8×C4⋊C4C22semidirect
196. Q8×C4⋊C4C22semidirect
197. Q8×C4⋊C4C22semidirect
199. D4×C4⋊C4C22semidirect
200. #2345C22semidirect
201. #2344C22semidirect
208. Q8×C22⋊C4C22semidirect
209. Q8×C22⋊C4C22semidirect
210. Q8×C22⋊C4C22semidirect
211. Q8×C22⋊C4C22semidirect
212. #2327C22semidirect
213. #2326C22semidirect
214. #2324C22semidirect
215. #2323C22semidirect
216. #2323C22semidirect
217. #2323C22semidirect
218. #2319C22semidirect
219. #2314C22semidirect
220. C4×C4⋊Q8C22semidirect
221. C4×#124C22semidirect
225. C4×C22⋊Q8C22semidirect
227. C4×#121C22semidirect
231. #2298C22semidirect
232. #2293C22semidirect
233. #2293C22semidirect
235. #2290C22semidirect
237. #2276C22semidirect
238. C42×Q8C22semidirect
319. #520D4semidirect
1467. C22#3516semidirect

Maximal subgroups

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

subgroupindex
C2×#35162
C22×#5202
#365462
Q8×#1212
#364402
#364352
#364282
#361632
#361612
#359962
#359832
#358462
#358162
#358022
#357632
#357372
#357242
#356542
#356222
#356062
#355212
#353102
#352252
#347402
#347002
#343122
#342942
#342912
#342632
C4×D4×Q82