Finite Group Databasebeta

← #7718329

Subgroups — #7718329

Order 512.

8188 conjugacy classes of subgroups.

The subgroup lattice has 1579 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3559C211yesmaximal, characteristic, complemented
2C2×D4×#41C211yesmaximal, characteristic, complemented
3#52009C212yesmaximal, complemented
4#52008C212yesmaximal, complemented
5#52007C212yesmaximal, complemented
6#52006C212yesmaximal, complemented
7#51209C212yesmaximal, complemented
8#51072C212yesmaximal, complemented
9#50897C212yesmaximal, complemented
10#50689C212yesmaximal, complemented
11#44447C212yesmaximal, complemented
12#43889C212yesmaximal, complemented
13#43530C214yesmaximal, complemented
14#43527C214yesmaximal, complemented
15#43496C212yesmaximal, complemented
16#43005C212yesmaximal, complemented
17#39844C214yesmaximal, complemented
18#38365C214yesmaximal, complemented
19#38359C214yesmaximal, complemented
20#37234C214yesmaximal, complemented
21#36213C214yesmaximal, complemented
22#35233C211yesmaximal, characteristic, complemented
23#35144C211yesmaximal, characteristic, complemented
24#35138C211yesmaximal, characteristic, complemented
25#34991C214yesmaximal, complemented
26C2×#2633C211yesmaximal, characteristic, complemented
27#34388C211yesmaximal, characteristic, complemented
28C23×#41C2212yes—
29#3559—216no—
30C2×#563C2212yescomplemented
31C2×#562C2212yescomplemented
32C2×#554C2212yescomplemented
33C2×#553C2212yescomplemented
34C2×#553C2212yescomplemented
35D4×#41—216no—
36C2×#550C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#548C2212yes—
39C2×#547C2211yescharacteristic
40C2×#547C2212yes—
41C2×#547C2212yescomplemented
42C2×#547C2214yescomplemented
43C2×#547C2214yescomplemented
44C2×#546C2214yes—
45C2×#546C2212yes—
46C2×#546C2214yescomplemented
47C2×D42C2211yescharacteristic
48C2×D42C2212yes—
49C2×#544C2212yescomplemented
50C2×#540C2212yescomplemented
51C2×#539C2214yescomplemented
52C2×#539C2212yescomplemented
53C2×#537C2212yescomplemented
54C2×#532C2212yes—
55C2×#532C2211yescharacteristic
56C2×#529C2211yescharacteristic, complemented
57C22×#125C2211yescharacteristic, complemented
58C2×#525C2214yes—
59C2×#525C2212yes—
60C2×C4×#41C2211yescharacteristic
61C22×C4×D4C2211yescharacteristic
62C22×C4×D4C2212yes—
63#2852C2214yescomplemented
64#2851C2214yescomplemented
65#2849C2214yescomplemented
66#2849C2214yescomplemented
67#2848C2214yescomplemented
68#2732C2214yescomplemented
69#2729C2214yescomplemented
70#2729C2214yescomplemented
71#2728C2214yescomplemented
72#2715C2214yescomplemented
73#2713C2214yescomplemented
74#2711C2214yescomplemented
75#2710C2214yescomplemented
76#2709C2214yescomplemented
77#2708C2214yescomplemented
78#2708C2214yescomplemented
79#2708C2214yescomplemented
80#2703C2214yescomplemented
81#2698C2214yescomplemented
82#2694C2214yescomplemented
83#2691C2214yescomplemented
84#2690C2214yescomplemented
85#2688C2214yescomplemented
86#2688C2214yescomplemented
87#2687C2214yescomplemented
88#2685C2214yescomplemented
89#2681C2214yescomplemented
90#2681C2214yescomplemented
91#2680C2214yescomplemented
92#2677C2214yescomplemented
93#2677C2214yescomplemented
94#2676C2214yescomplemented
95#2674C2214yescomplemented
96#2674C2214yescomplemented
97#2673C2214yescomplemented
98#2672C2214yescomplemented
99#2672C2214yescomplemented
100#2672C2214yescomplemented
101#2671C2214yescomplemented
102#2671C2214yescomplemented
103#2671C2214yescomplemented
104#2671C2214yescomplemented
105#2669C2214yescomplemented
106#2668C2214yescomplemented
107#2668C2214yescomplemented
108#2638C2214yescomplemented
109#2636C2212yes—
110#2636C2212yescomplemented
111#2634C2211yescharacteristic, complemented
112#2634C2212yescomplemented
113#2633C2212yes—
114#2633C2212yes—
115#2633C2212yescomplemented
116#2633C2212yescomplemented
117#2633C2212yescomplemented
118#2633C2212yescomplemented
119#2633C2214yescomplemented
120#2633C2212yescomplemented
121#2633C2211yescharacteristic, complemented
122#2632C2211yescharacteristic, complemented
123#2631C2211yescharacteristic, complemented
124#2630C2214yescomplemented
125#2611C2214yescomplemented
126#2602C2214yescomplemented
127#2600C2214yescomplemented
128#2599C2212yescomplemented
129#2599C2212yescomplemented
130#2598C2212yes—
131#2598C2212yescomplemented
132#2598C2212yescomplemented
133#2598C2212yescomplemented
134#2584C2212yescomplemented
135#2579C2214yescomplemented
136#2566C2212yescomplemented
137#2564C2212yescomplemented
138#2564C2214yescomplemented
139#2562C2212yescomplemented
140#2559C2214yescomplemented
141#2553C2214yescomplemented
142#2549C2214yescomplemented
143#2544C2212yescomplemented
144#2543C2212yescomplemented
145#2534C2214yescomplemented
146#2534C2214yescomplemented
147#2503C2211yescharacteristic, complemented
148#2501C2211yescharacteristic, complemented
149#2498C2212yescomplemented
150#2487C2212yescomplemented
151#2486C2212yescomplemented
152#2486C2214yescomplemented
153#2484C2212yescomplemented
154#2480C2214yescomplemented
155#2477C2214yescomplemented
156#2473C2214yescomplemented
157#2472C2214yescomplemented
158#2472C2214yescomplemented
159#2471C2214yescomplemented
160#2466C2214yescomplemented
161#2464C2214yescomplemented
162#2463C2214yes—
163#2460C2214yes—
164#2455C2214yescomplemented
165#2449C2214yescomplemented
166#2449C2214yescomplemented
167#2449C2214yescomplemented
168#2444C2214yescomplemented
169#2443C2214yescomplemented
170#2443C2214yescomplemented
171#2443C2214yescomplemented
172#2440C2214yescomplemented
173#2437C2214yescomplemented
174#2435C2211yescharacteristic
175#2434C2214yescomplemented
176#2433C2211yescharacteristic
177#2432C2214yescomplemented
178#2432C2214yescomplemented
179#2430C2212yes—
180#2430C2214yescomplemented
181#2430C2214yescomplemented
182#2430C2214yescomplemented
183#2428C2214yescomplemented
184#2425C2214yescomplemented
185#2425C2214yescomplemented
186#2424C2214yescomplemented
187#2419C2214yescomplemented
188#2419C2214yescomplemented
189#2418C2214yescomplemented
190#2418C2214yescomplemented
191#2418C2214yescomplemented
192#2418C2214yescomplemented
193#2412C2214yescomplemented
194#2410C2214yes—
195#2410C2214yescomplemented
196#2410C2214yescomplemented
197#2409C2214yescomplemented
198#2407C2214yescomplemented
199#2407C2214yescomplemented
200#2406C2212yes—
201#2406C2214yescomplemented
202#2406C2214yescomplemented
203#2406C2214yescomplemented
204#2406C2214yescomplemented
205#2405C2214yes—
206#2405C2214yescomplemented
207#2405C2214yescomplemented
208#2404C2214yescomplemented
209C2×#399C2212yescomplemented
210C2×#398C2212yescomplemented
211C2×#397C2212yescomplemented
212C2×#394C2212yes—
213#2381C2212yescomplemented
214#2380C2212yescomplemented
215#2364C2212yescomplemented
216#2364C2212yescomplemented
217#2353C2214yescomplemented
218#2339C2214yescomplemented
219#2339C2214yescomplemented
220D4×C22⋊C4C2214yescomplemented
221#2337C2212yescomplemented
222#2337C2212yescomplemented
223#2328C2212yescomplemented
224#2326C2212yescomplemented
225#2325C2214yescomplemented
226#2325C2214yescomplemented
227#2325C2214yescomplemented
228#2322C2212yescomplemented
229#2322C2212yescomplemented
230#2322C2214yescomplemented
231#2318C2214yescomplemented
232C4×#120C2214yescomplemented
233C2×#385C2214yescomplemented
234C2×#385C2214yescomplemented
235#2283C2211yescharacteristic, complemented
236C2×#383C2211yescharacteristic, complemented
237C22×#41—216no—
238C22×#41—416no—
239C22×#41C2311yescharacteristic
240C22×#41C2314yes—
241C22×#41C2312yes—
242C22×#41C2314yes—
243C22×#41C2312yes—
244C22×#41C2314yes—
245C22×#41C2312yes—
246C23×Q8C2312yes—
247C23×D4C2314yes—
248C23×D4C2312yes—
249C23×D4C2311yescharacteristic
250C23×D4C2312yes—
251C24×C4C2314yes—
252C24×C4C2312yes—
253#563—216no—
254#562—216no—
255#554—216no—
256#553—216no—
257#553—216no—
258#550—28no—
259D4×Q8—28no—
260#548—216no—
261#547—232no—
262#547—28no—
263#547—216no—
264#547—216no—
265#547—416no—
266#546—216no—
267#546—232no—
268#546—416no—
269D42—28no—
270D42—216no—
271#544—216no—
272#540—216no—
273#539—216no—
274#539—232no—
275#537—216no—
276#532—216no—
277#532D4116yescomplemented
278C2×C4⋊Q8C2312yes—
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2314yes—
281C2×C4⋊Q8C2314yes—
282C2×C4⋊Q8C2311yescharacteristic
283C2×#127C2312yes—
284C2×#127C2312yes—
285C2×#127C2311yescharacteristic
286#529—28no—
287C2×#126C2312yes—
288C2×#126C2314yes—
289C2×#126C2314yes—
290C2×#125—28no—
291C2×#125C2312yes—
292C2×#125C2311yescharacteristic
293C2×#125C2312yes—
294C2×#125C2312yes—
295C2×#125C2312yes—
296C2×#125C2314yes—
297C2×#125C2312yes—
298C2×#124C2311yescharacteristic
299C2×#124C2314yes—
300C2×#124C2312yes—
301C2×#124C2314yes—
302C2×#124C2312yes—
303#525—216no—
304#525—232no—
305C2×#123C2312yes—
306C2×#123C2312yes—
307C2×#123C2312yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C4×#41—28no—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×D4—216no—
368C2×C4×D4—28no—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2314yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2311yescharacteristic
399C2×#117C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2314yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2314yes—
409C22×C4⋊C4C2314yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2314yes—
412C22×C22⋊C4C2314yes—
413C22×C22⋊C4C2314yes—
414C22×C22⋊C4C2314yes—
415C22×C22⋊C4C2314yes—
416C22×C42C2312yes—
417C22×C42C2311yescharacteristic
418#400C2314yes—
419#400C2312yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#400C2312yes—
424#400C2314yes—
425#399C2312yes—
426#399C2314yes—
427#399C2312yes—
428#399C2312yes—
429#399C2312yes—
430#399C2314yes—
431#399C2314yes—
432#399C2312yes—
433#399C2312yes—
434#399C2312yes—
435#399C2314yes—
436#399C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2312yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#395C2312yes—
471#395C2314yes—
472#395C2314yes—
473#395C2312yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#393C2312yes—
508#393C2314yes—
509#393C2312yes—
510#393C2314yes—
511#393C2314yes—
512#392C2312yes—
513#392C2312yes—
514#392C2312yes—
515#392C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#391C2312yes—
523#391C2314yes—
524#391C2314yes—
525#391C2314yes—
526#391C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2312yes—
578#386C2312yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2312yes—
623#385C2312yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#384C2312yes—
649#383C2312yes—
650#383C2311yescharacteristic
651#383C2311yescharacteristic
652#383C2312yes—
653#383C2312yes—
654#383C2312yes—
655#382C2312yes—
656#382C2312yes—
657#381C2314yes—
658#381C2312yes—
659#381C2312yes—
660#381C2314yes—
661#381C2312yes—
662#381C2314yes—
663#381C2314yes—
664#380C2314yes—
665#380C2314yes—
666#380C2314yes—
667#380C2314yes—
668#380C2314yes—
669#380C2314yes—
670#380C2312yes—
671#380C2314yes—
672#380C2314yes—
673#380C2314yes—
674#379C2314yes—
675#379C2314yes—
676#379C2314yes—
677#379C2314yes—
678#379C2314yes—
679C4×C4⋊C4C2312yes—
680C4×C22⋊C4C2314yes—
681C4×C22⋊C4C2311yescharacteristic
682C4×C22⋊C4C2311yescharacteristic
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687#376C2312yes—
688C2×#95C2314yes—
689C2×#95C2312yes—
690C2×#95C2312yes—
691C2×#95C2312yes—
692C2×#95C2314yes—
693C2×#95C2314yes—
694C25C2412yes—
695C25C2414yes—
696C2×#41—28no—
697C2×#41—216no—
698C2×#41—28no—
699C2×#41—216no—
700C2×#41—28no—
701C2×#41—216no—
702C2×#41—24no—
703C2×#41—216no—
704C2×#41—48no—
705C2×#41—48no—
706C2×#41—48no—
707C2×#41—48no—
708C2×#41—48no—
709C2×#41—48no—
710C2×#41—48no—
711C2×#41—48no—
712C2×#41—4128no—
713C2×#41C2×D4116yes—
714C22×Q8—28no—
715C22×Q8—48no—
716C22×Q8C2411yescharacteristic
717C22×Q8C2414yes—
718C22×Q8C2411yescharacteristic
719C22×Q8C2414yes—
720C22×Q8C2412yes—
721C22×D4—28no—
722C22×D4—216no—
723C22×D4—28no—
724C22×D4—216no—
725C22×D4—24no—
726C22×D4—48no—
727C22×D4—44no—
728C22×D4—48no—
729C22×D4—48no—
730C22×D4C2411yescharacteristic
731C22×D4C2411yescharacteristic
732C22×D4C2412yes—
733C22×D4C2414yes—
734C22×D4C2412yes—
735C22×D4C2414yes—
736C22×D4C2414yes—
737C22×D4C2414yes—
738C22×D4C2414yes—
739C22×D4C2412yes—
740C22×D4C2411yescharacteristic
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2411yescharacteristic
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C23×C4—216no—
752C23×C4—28no—
753C23×C4—48no—
754C23×C4—48no—
755C23×C4—48no—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2412yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2414yes—
762C23×C4C2411yescharacteristic
763C23×C4C2412yes—
764C23×C4C2414yes—
765C23×C4C2412yes—
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2412yes—
769C23×C4C2414yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2414yes—
780C4⋊Q8—216no—
781C4⋊Q8—28no—
782C4⋊Q8—28no—
783C4⋊Q8—48no—
784C4⋊Q8C2×D418yes—
785#127—28no—
786#127—44no—
787#127C2×D418yes—
788#126—216no—
789#126—216no—
790#126—28no—
791#125—216no—
792#125—28no—
793#125—28no—
794#125—28no—
795#125—28no—
796#125—28no—
797#125—24no—
798#124—216no—
799#124—24no—
800#124—44no—
801#124—48no—
802#124C2×D4116yes—
803#123—216no—
804#123—216no—
805#123—216no—
806#123—216no—
807#123—28no—
808#123—28no—
809#123—28no—
810#123—216no—
811#123—216no—
812#123—216no—
813#123—216no—
814#123—216no—
815#123—48no—
816#123—48no—
817#123—48no—
818#123—48no—
819#123—48no—
820C22⋊Q8—28no—
821C22⋊Q8—28no—
822C22⋊Q8—216no—
823C22⋊Q8—24no—
824C22⋊Q8—216no—
825C22⋊Q8—216no—
826C22⋊Q8—216no—
827C22⋊Q8—216no—
828C22⋊Q8—216no—
829C22⋊Q8—216no—
830C22⋊Q8—216no—
831C22⋊Q8—48no—
832C22⋊Q8—48no—
833C22⋊Q8—48no—
834#121—28no—
835#121—28no—
836#121—216no—
837#121—28no—
838#121—216no—
839#121—216no—
840#121—28no—
841#121—216no—
842#121—28no—
843#121—216no—
844#121—24no—
845#121—28no—
846#121—216no—
847#121—216no—
848#121—216no—
849#121—48no—
850#121—48no—
851#121—48no—
852#121—48no—
853#121C2×D4116yes—
854#121C2×D4116yes—
855#120—216no—
856#120—216no—
857#120—216no—
858#120—48no—
859#120—48no—
860#120—48no—
861C4×Q8—24no—
862C4×Q8—24no—
863C4×Q8—24no—
864C4×D4—28no—
865C4×D4—216no—
866C4×D4—28no—
867C4×D4—28no—
868C4×D4—216no—
869C4×D4—28no—
870C4×D4—28no—
871C4×D4—216no—
872C4×D4—28no—
873C4×D4—216no—
874C4×D4—28no—
875C4×D4—216no—
876C4×D4—24no—
877C4×D4—28no—
878C4×D4—24no—
879C4×D4—24no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—24no—
885C4×D4—48no—
886C4×D4—48no—
887C4×D4—48no—
888C4×D4—48no—
889C4×D4C2×D4116yes—
890C4×D4C2×D4116yes—
891#117—24no—
892#117—28no—
893#117—28no—
894#117—28no—
895C2×C4⋊C4—24no—
896C2×C4⋊C4—28no—
897C2×C4⋊C4—24no—
898C2×C4⋊C4—28no—
899C2×C4⋊C4—24no—
900C2×C4⋊C4—216no—
901C2×C4⋊C4—28no—
902C2×C4⋊C4—28no—
903C2×C4⋊C4—48no—
904C2×C4⋊C4—48no—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C22⋊C4—28no—
951C2×C22⋊C4—216no—
952C2×C22⋊C4—48no—
953C2×C22⋊C4—48no—
954C2×C22⋊C4—48no—
955C2×C22⋊C4—48no—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C42—28no—
1014C2×C42C2×D418yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2414yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068C24—24no—
1069C24—28no—
1070C24—24no—
1071C24—28no—
1072C24—28no—
1073C24—28no—
1074C24—44no—
1075C24—42no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24C2512yes—
1081C24C2512yes—
1082C24C2514yes—
1083C24C2512yes—
1084C24C2512yes—
1085C24C2511yescharacteristic
1086#41—232no—
1087#41—432no—
1088#41—464no—
1089#41—464no—
1090#41—432no—
1091#41—432no—
1092#41—832no—
1093C2×Q8—22no—
1094C2×Q8—28no—
1095C2×Q8—22no—
1096C2×Q8—28no—
1097C2×Q8—24no—
1098C2×Q8—28no—
1099C2×Q8—44no—
1100C2×Q8—44no—
1101C2×Q8—44no—
1102C2×Q8—44no—
1103C2×Q8—42no—
1104C2×Q8—432no—
1105C2×Q8C22×D418yes—
1106C2×D4—24no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—28no—
1113C2×D4—24no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—24no—
1129C2×D4—22no—
1130C2×D4—28no—
1131C2×D4—22no—
1132C2×D4—28no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—42no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—464no—
1158C2×D4—416no—
1159C2×D4—432no—
1160C2×D4—432no—
1161C2×D4C22×D4116yes—
1162C2×D4C22×D418yes—
1163C2×D4C22×D418yes—
1164C2×D4C22×D418yes—
1165C2×D4H(5,𝔽2)18yes—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—28no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—28no—
1176C22×C4—28no—
1177C22×C4—24no—
1178C22×C4—28no—
1179C22×C4—28no—
1180C22×C4—28no—
1181C22×C4—24no—
1182C22×C4—28no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—28no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—28no—
1190C22×C4—28no—
1191C22×C4—24no—
1192C22×C4—28no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—464no—
1224C22×C4—432no—
1225C22×C4C22×D414yes—
1226C22×C4C22×D414yes—
1227C22×C4C22×D414yes—
1228C22×C4C22×D4116yes—
1229C22×C4C2514yes—
1230C22×C4C2514yes—
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—28no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4C22×D418yes—
1294C4⋊C4C22×D418yes—
1295C22⋊C4—28no—
1296C22⋊C4—24no—
1297C22⋊C4—24no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—28no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—28no—
1323C22⋊C4—24no—
1324C22⋊C4—28no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4C22×D4116yes—
1351C22⋊C4C22×D4116yes—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—28no—
1357C42—44no—
1358C42—44no—
1359C42—42no—
1360C42—42no—
1361C42C22×D414yes—
1362C42C22×D414yes—
1363C42C22×D414yes—
1364C42C22×D414yes—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—24no—
1370C23—24no—
1371C23—24no—
1372C23—22no—
1373C23—24no—
1374C23—24no—
1375C23—24no—
1376C23—22no—
1377C23—24no—
1378C23—24no—
1379C23—24no—
1380C23—24no—
1381C23—22no—
1382C23—22no—
1383C23—24no—
1384C23—24no—
1385C23—22no—
1386C23—22no—
1387C23—24no—
1388C23—22no—
1389C23—24no—
1390C23—22no—
1391C23—416no—
1392C23—48no—
1393C23—416no—
1394C23—416no—
1395C23—416no—
1396C23—48no—
1397C23—84no—
1398C23—88no—
1399C23—88no—
1400C23—88no—
1401C23—88no—
1402C23—88no—
1403C23C23×D418yes—
1404C23C23×D412yes—
1405C23C2×H(5,𝔽2)14yes—
1406C23C2×H(5,𝔽2)14yes—
1407C23#58514yes—
1408C23C2611yescharacteristic
1409Q8—28no—
1410Q8—48no—
1411Q8—416no—
1412Q8—82no—
1413Q8—88no—
1414D4—28no—
1415D4—28no—
1416D4—216no—
1417D4—232no—
1418D4—48no—
1419D4—48no—
1420D4—48no—
1421D4—48no—
1422D4—416no—
1423D4—416no—
1424D4—44no—
1425D4—416no—
1426D4—416no—
1427D4—48no—
1428D4—82no—
1429D4—88no—
1430D4—88no—
1431D4—88no—
1432D4—88no—
1433D4—88no—
1434D4—164no—
1435C2×C4—216no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—28no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—416no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—416no—
1484C2×C4—416no—
1485C2×C4—416no—
1486C2×C4—48no—
1487C2×C4—48no—
1488C2×C4—48no—
1489C2×C4—48no—
1490C2×C4—48no—
1491C2×C4—48no—
1492C2×C4—48no—
1493C2×C4—48no—
1494C2×C4—84no—
1495C2×C4—88no—
1496C2×C4—84no—
1497C2×C4—88no—
1498C2×C4—88no—
1499C2×C4—88no—
1500C2×C4—88no—
1501C2×C4—164no—
1502C2×C4C23×D412yes—
1503C2×C4C23×D412yes—
1504C2×C4C23×D412yes—
1505C2×C4C23×D412yes—
1506C2×C4C23×D418yes—
1507C2×C4C23×D412yes—
1508C2×C4C23×D412yes—
1509C2×C4C2×H(5,𝔽2)14yes—
1510C22—22no—
1511C22—22no—
1512C22—28no—
1513C22—24no—
1514C22—28no—
1515C22—28no—
1516C22—24no—
1517C22—28no—
1518C22—28no—
1519C22—28no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—44no—
1525C22—44no—
1526C22—44no—
1527C22—44no—
1528C22—44no—
1529C22—44no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—44no—
1537C22—44no—
1538C22—44no—
1539C22—44no—
1540C22—816no—
1541C22—832no—
1542C22#348414yes—
1543C22C24×D411yescharacteristic
1544C22C22×H(5,𝔽2)12yes—
1545C22C2×#58512yes—
1546C222−1+612yes—
1547C4—22no—
1548C4—22no—
1549C4—24no—
1550C4—28no—
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—42no—
1556C4—42no—
1557C4—44no—
1558C4—42no—
1559C4—42no—
1560C4—44no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—44no—
1565C4—44no—
1566C4—44no—
1567C4—44no—
1568C2—24no—
1569C2—48no—
1570C2—44no—
1571C2—44no—
1572C2—82no—
1573C2—82no—
1574C2C2×#348411yescharacteristic
1575C2#6281111yescharacteristic
1576C2#6285911yescharacteristic
1577C2#6289814yes—
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×#3559C2semidirect
2. C2×D4×#41C2semidirect
3. #52009C2semidirect
4. #52008C2semidirect
5. #52007C2semidirect
6. #52006C2semidirect
7. #51209C2semidirect
8. #51072C2semidirect
9. #50897C2semidirect
10. #50689C2semidirect
11. #44447C2semidirect
12. #43889C2semidirect
13. #43530C2semidirect
14. #43527C2semidirect
15. #43496C2semidirect
16. #43005C2semidirect
17. #39844C2semidirect
18. #38365C2semidirect
19. #38359C2semidirect
20. #37234C2semidirect
21. #36213C2semidirect
22. #35233C2semidirect
23. #35144C2semidirect
24. #35138C2semidirect
25. #34991C2semidirect
26. C2×#2633C2semidirect
27. #34388C2semidirect
30. C2×#563C22semidirect
31. C2×#562C22semidirect
32. C2×#554C22semidirect
33. C2×#553C22semidirect
34. C2×#553C22semidirect
41. C2×#547C22semidirect
42. C2×#547C22semidirect
43. C2×#547C22semidirect
46. C2×#546C22semidirect
49. C2×#544C22semidirect
50. C2×#540C22semidirect
51. C2×#539C22semidirect
52. C2×#539C22semidirect
53. C2×#537C22semidirect
56. C2×#529C22semidirect
57. C22×#125C22semidirect
63. #2852C22semidirect
64. #2851C22semidirect
65. #2849C22semidirect
66. #2849C22semidirect
67. #2848C22semidirect
68. #2732C22semidirect
69. #2729C22semidirect
70. #2729C22semidirect
71. #2728C22semidirect
72. #2715C22semidirect
73. #2713C22semidirect
74. #2711C22semidirect
75. #2710C22semidirect
76. #2709C22semidirect
77. #2708C22semidirect
78. #2708C22semidirect
79. #2708C22semidirect
80. #2703C22semidirect
81. #2698C22semidirect
82. #2694C22semidirect
83. #2691C22semidirect
84. #2690C22semidirect
85. #2688C22semidirect
86. #2688C22semidirect
87. #2687C22semidirect
88. #2685C22semidirect
89. #2681C22semidirect
90. #2681C22semidirect
91. #2680C22semidirect
92. #2677C22semidirect
93. #2677C22semidirect
94. #2676C22semidirect
95. #2674C22semidirect
96. #2674C22semidirect
97. #2673C22semidirect
98. #2672C22semidirect
99. #2672C22semidirect
100. #2672C22semidirect
101. #2671C22semidirect
102. #2671C22semidirect
103. #2671C22semidirect
104. #2671C22semidirect
105. #2669C22semidirect
106. #2668C22semidirect
107. #2668C22semidirect
108. #2638C22semidirect
110. #2636C22semidirect
111. #2634C22semidirect
112. #2634C22semidirect
115. #2633C22semidirect
116. #2633C22semidirect
117. #2633C22semidirect
118. #2633C22semidirect
119. #2633C22semidirect
120. #2633C22semidirect
121. #2633C22semidirect
122. #2632C22semidirect
123. #2631C22semidirect
124. #2630C22semidirect
125. #2611C22semidirect
126. #2602C22semidirect
127. #2600C22semidirect
128. #2599C22semidirect
129. #2599C22semidirect
131. #2598C22semidirect
132. #2598C22semidirect
133. #2598C22semidirect
134. #2584C22semidirect
135. #2579C22semidirect
136. #2566C22semidirect
137. #2564C22semidirect
138. #2564C22semidirect
139. #2562C22semidirect
140. #2559C22semidirect
141. #2553C22semidirect
142. #2549C22semidirect
143. #2544C22semidirect
144. #2543C22semidirect
145. #2534C22semidirect
146. #2534C22semidirect
147. #2503C22semidirect
148. #2501C22semidirect
149. #2498C22semidirect
150. #2487C22semidirect
151. #2486C22semidirect
152. #2486C22semidirect
153. #2484C22semidirect
154. #2480C22semidirect
155. #2477C22semidirect
156. #2473C22semidirect
157. #2472C22semidirect
158. #2472C22semidirect
159. #2471C22semidirect
160. #2466C22semidirect
161. #2464C22semidirect
164. #2455C22semidirect
165. #2449C22semidirect
166. #2449C22semidirect
167. #2449C22semidirect
168. #2444C22semidirect
169. #2443C22semidirect
170. #2443C22semidirect
171. #2443C22semidirect
172. #2440C22semidirect
173. #2437C22semidirect
175. #2434C22semidirect
177. #2432C22semidirect
178. #2432C22semidirect
180. #2430C22semidirect
181. #2430C22semidirect
182. #2430C22semidirect
183. #2428C22semidirect
184. #2425C22semidirect
185. #2425C22semidirect
186. #2424C22semidirect
187. #2419C22semidirect
188. #2419C22semidirect
189. #2418C22semidirect
190. #2418C22semidirect
191. #2418C22semidirect
192. #2418C22semidirect
193. #2412C22semidirect
195. #2410C22semidirect
196. #2410C22semidirect
197. #2409C22semidirect
198. #2407C22semidirect
199. #2407C22semidirect
201. #2406C22semidirect
202. #2406C22semidirect
203. #2406C22semidirect
204. #2406C22semidirect
206. #2405C22semidirect
207. #2405C22semidirect
208. #2404C22semidirect
209. C2×#399C22semidirect
210. C2×#398C22semidirect
211. C2×#397C22semidirect
213. #2381C22semidirect
214. #2380C22semidirect
215. #2364C22semidirect
216. #2364C22semidirect
217. #2353C22semidirect
218. #2339C22semidirect
219. #2339C22semidirect
220. D4×C22⋊C4C22semidirect
221. #2337C22semidirect
222. #2337C22semidirect
223. #2328C22semidirect
224. #2326C22semidirect
225. #2325C22semidirect
226. #2325C22semidirect
227. #2325C22semidirect
228. #2322C22semidirect
229. #2322C22semidirect
230. #2322C22semidirect
231. #2318C22semidirect
232. C4×#120C22semidirect
233. C2×#385C22semidirect
234. C2×#385C22semidirect
235. #2283C22semidirect
236. C2×#383C22semidirect
277. #532D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35592
C2×D4×#412
#520092
#520082
#520072
#520062
#512092
#510722
#508972
#506892
#444472
#438892
#435302
#435272
#434962
#430052
#398442
#383652
#383592
#372342
#362132
#352332
#351442
#351382
#349912
C2×#26332
#343882