Finite Group Databasebeta

← #7643645

Subgroups — #7643645

Order 512.

4518 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41428C218yesmaximal, complemented
2#40671C218yesmaximal, complemented
3#40668C218yesmaximal, complemented
4#40643C218yesmaximal, complemented
5#37466C214yesmaximal, complemented
6#37460C214yesmaximal, complemented
7#36979C212yesmaximal, complemented
8#36977C212yesmaximal, complemented
9#36732C212yesmaximal, complemented
10#36728C212yesmaximal, complemented
11#35370C214yesmaximal
12#35368C214yesmaximal, complemented
13#35010C212yesmaximal
14C2×#2659C211yesmaximal, characteristic, complemented
15C2×#2646C211yesmaximal, characteristic, complemented
16#34212C212yesmaximal, complemented
17C2×#2318C211yesmaximal, characteristic
18C22×C22⋊Q8C2212yes—
19C22×C4×D4C2211yescharacteristic
20#2855C2214yes—
21#2848C2214yes—
22#2839C2218yescomplemented
23#2836C2218yescomplemented
24#2833C2218yescomplemented
25#2831C2218yescomplemented
26#2776C2218yescomplemented
27#2769C2218yescomplemented
28#2766C2218yescomplemented
29#2762C2218yescomplemented
30#2762C2218yescomplemented
31#2758C2218yescomplemented
32#2755C2218yescomplemented
33#2747C2218yescomplemented
34#2744C2218yescomplemented
35#2739C2218yescomplemented
36#2722C2218yescomplemented
37#2719C2218yescomplemented
38#2704C2218yescomplemented
39#2698C2218yescomplemented
40#2690C2218yescomplemented
41#2689C2218yescomplemented
42#2666C2218yescomplemented
43#2664C2218yescomplemented
44#2659C2214yes—
45#2659C2212yes—
46#2659C2212yes—
47#2659C2218yescomplemented
48#2655C2218yescomplemented
49#2655C2218yescomplemented
50#2654C2218yescomplemented
51#2650C2218yescomplemented
52#2646C2214yes—
53#2646C2212yes—
54#2646C2212yes—
55#2646C2218yescomplemented
56#2637C2218yescomplemented
57#2634C2218yescomplemented
58#2627C2214yes—
59#2626C2214yes—
60#2579C2218yes—
61#2569C2218yescomplemented
62#2569C2218yescomplemented
63#2564C2218yes—
64#2524C2218yescomplemented
65#2519C2218yescomplemented
66#2510C2218yes—
67#2510C2218yes—
68#2510C2218yes—
69#2510C2218yes—
70#2505C2218yes—
71#2505C2218yes—
72#2505C2218yescomplemented
73#2505C2218yescomplemented
74#2493C2218yes—
75#2493C2218yes—
76#2487C2214yes—
77#2481C2218yes—
78#2481C2218yes—
79#2481C2218yes—
80#2481C2218yes—
81#2480C2218yes—
82#2480C2218yes—
83#2473C2218yes—
84#2473C2218yes—
85#2473C2218yescomplemented
86#2473C2218yescomplemented
87#2469C2218yescomplemented
88#2462C2218yescomplemented
89#2442C2218yescomplemented
90#2442C2218yescomplemented
91#2417C2214yes—
92#2417C2214yes—
93#2409C2214yes—
94C2×#400C2214yescomplemented
95C2×#398C2214yescomplemented
96C2×#398C2214yescomplemented
97C2×#395C2214yescomplemented
98#2368C2218yescomplemented
99#2360C2214yescomplemented
100#2360C2214yescomplemented
101#2345C2218yescomplemented
102#2345C2214yescomplemented
103Q8×C22⋊C4C2214yescomplemented
104#2329C2214yes—
105#2329C2214yes—
106#2318C2218yes—
107#2318C2218yes—
108#2315C2214yes—
109#2315C2214yes—
110#2308C2214yes—
111C4×C22⋊Q8C2214yes—
112C4×C22⋊Q8C2214yes—
113C2×#388C2212yes—
114C2×#387C2212yes—
115C2×#386C2212yes—
116C2×#385C2214yes—
117C2×#385C2212yes—
118C2×#383C2211yescharacteristic
119C2×#382C2211yescharacteristic
120C2×#381C2211yescharacteristic
121C2×#380C2212yes—
122C2×#380C2211yescharacteristic
123C2×#380C2214yes—
124#2273C2214yes—
125C2×C4×C22⋊C4C2211yescharacteristic
126C22×#95C2211yescharacteristic
127C23×Q8C2312yes—
128C23×D4C2311yescharacteristic
129C24×C4C2311yescharacteristic
130C24×C4C2312yes—
131C24×C4C2311yescharacteristic
132C2×#126C2318yes—
133C2×#126C2318yes—
134C2×#125C2318yes—
135C2×#125C2318yes—
136C2×C22⋊Q8—216no—
137C2×C22⋊Q8C2314yes—
138C2×C22⋊Q8C2314yes—
139C2×C22⋊Q8C2314yes—
140C2×C22⋊Q8C2314yes—
141C2×C22⋊Q8C2314yes—
142C2×C22⋊Q8C2314yes—
143C2×C4×Q8C2314yes—
144C2×C4×Q8C2314yes—
145C2×C4×D4—28no—
146C2×C4×D4C2314yes—
147C2×C4×D4C2314yes—
148C22×C4⋊C4C2314yes—
149C22×C4⋊C4C2312yes—
150C22×C4⋊C4C2311yescharacteristic
151C22×C4⋊C4C2312yes—
152C22×C4⋊C4C2312yes—
153C22×C4⋊C4C2314yes—
154C22×C4⋊C4C2314yes—
155C22×C4⋊C4C2314yes—
156C22×C4⋊C4C2314yes—
157C22×C4⋊C4C2312yes—
158C22×C4⋊C4C2312yes—
159C22×C22⋊C4C2314yes—
160C22×C22⋊C4C2314yes—
161C22×C22⋊C4C2311yescharacteristic
162C22×C22⋊C4C2312yes—
163C22×C22⋊C4C2311yescharacteristic
164C22×C22⋊C4C2312yes—
165C22×C22⋊C4C2312yes—
166C22×C42C2311yescharacteristic
167C22×C42C2312yes—
168#401C2318yes—
169#401C2318yes—
170#400C2318yes—
171#400C2318yes—
172#400C2318yes—
173#400C2318yes—
174#400C2318yes—
175#400C2318yes—
176#400C2318yes—
177#400C2318yes—
178#400C2318yes—
179#400C2318yes—
180#400C2318yes—
181#400C2318yes—
182#400C2318yes—
183#400C2318yes—
184#400C2318yes—
185#400C2318yes—
186#400C2318yes—
187#400C2318yes—
188#400C2318yes—
189#399C2318yes—
190#398C2318yes—
191#398C2318yes—
192#398C2318yes—
193#398C2318yes—
194#398C2318yes—
195#398C2318yes—
196#398C2318yes—
197#398C2318yes—
198#398C2318yes—
199#398C2318yes—
200#398C2318yes—
201#398C2318yes—
202#398C2318yes—
203#398C2318yes—
204#398C2318yes—
205#398C2318yes—
206#398C2318yes—
207#398C2318yes—
208#397C2318yes—
209#397C2318yes—
210#397C2318yes—
211#397C2318yes—
212#397C2318yes—
213#397C2318yes—
214#396C2318yes—
215#396C2318yes—
216#396C2318yes—
217#396C2318yes—
218#395C2318yes—
219#395C2318yes—
220#395C2318yes—
221#395C2318yes—
222#395C2318yes—
223#393C2318yes—
224#391C2314yes—
225#391C2314yes—
226#391C2318yes—
227#391C2318yes—
228#391C2314yes—
229#391C2314yes—
230#389C2314yes—
231#389C2314yes—
232#389C2318yes—
233#389C2318yes—
234#389C2314yes—
235#389C2314yes—
236#389C2318yes—
237#389C2318yes—
238#389C2318yes—
239#389C2318yes—
240#388C2318yes—
241#388C2318yes—
242#388C2318yes—
243#388C2318yes—
244#388C2318yes—
245#388C2318yes—
246#388C2318yes—
247#388C2318yes—
248#387C2318yes—
249#387C2318yes—
250#387C2318yes—
251#387C2318yes—
252#387C2318yes—
253#387C2318yes—
254#387C2318yes—
255#387C2318yes—
256#387C2318yes—
257#387C2318yes—
258#387C2318yes—
259#387C2318yes—
260#387C2318yes—
261#387C2318yes—
262#387C2318yes—
263#387C2318yes—
264#387C2318yes—
265#387C2318yes—
266#387C2318yes—
267#387C2318yes—
268#387C2318yes—
269#387C2318yes—
270#387C2318yes—
271#387C2318yes—
272#386C2318yes—
273#386C2318yes—
274#386C2318yes—
275#386C2318yes—
276#386C2318yes—
277#386C2318yes—
278#385C2318yes—
279#385C2318yes—
280#385C2318yes—
281#385C2318yes—
282#385C2318yes—
283#385C2318yes—
284#385C2318yes—
285#385C2318yes—
286#385C2318yes—
287#385C2318yes—
288#385C2318yes—
289#385C2318yes—
290#385C2318yes—
291#385C2318yes—
292#385C2318yes—
293#385C2318yes—
294#383C2318yes—
295#383C2318yes—
296#383C2318yes—
297#382C2318yes—
298#382C2318yes—
299#382C2318yes—
300#381C2318yes—
301#381C2318yes—
302#380C2318yes—
303#380C2318yes—
304#380C2318yes—
305#380C2318yes—
306#380C2318yes—
307#380C2318yes—
308#380C2318yes—
309#380C2314yes—
310#380C2314yes—
311#380C2314yes—
312#380C2314yes—
313#380C2314yes—
314#380C2314yes—
315#380C2318yes—
316#380C2318yes—
317#379C2318yes—
318C4×C4⋊C4C2314yes—
319C4×C4⋊C4C2314yes—
320C4×C4⋊C4C2318yes—
321C4×C4⋊C4C2318yes—
322C4×C22⋊C4C2318yes—
323C4×C22⋊C4C2318yes—
324C4×C22⋊C4C2314yes—
325C4×C22⋊C4C2314yes—
326C4×C22⋊C4C2318yes—
327C4×C22⋊C4C2318yes—
328C4×C22⋊C4C2318yes—
329C4×C22⋊C4C2318yes—
330C2×#95C2314yes—
331C2×#95C2314yes—
332C2×#95C2314yes—
333C2×#95C2314yes—
334C2×#95C2314yes—
335C2×#95C2311yescharacteristic
336C2×#95C2311yescharacteristic
337C2×#95C2314yes—
338C2×#95C2314yes—
339C2×#95C2311yescharacteristic
340C2×#95C2311yescharacteristic
341C2×#95C2312yes—
342C2×#95C2312yes—
343C2×#95C2312yes—
344C2×#95C2312yes—
345C2×#95C2312yes—
346C25C2411yescharacteristic
347C25C2411yescharacteristic
348C22×Q8—28no—
349C22×Q8—82no—
350C22×Q8—82no—
351C22×Q8C2414yes—
352C22×Q8C2414yes—
353C22×D4—24no—
354C22×D4—28no—
355C22×D4C2412yes—
356C22×D4C2412yes—
357C23×C4—28no—
358C23×C4—24no—
359C23×C4—82no—
360C23×C4—82no—
361C23×C4—82no—
362C23×C4—82no—
363C23×C4#4118yes—
364C23×C4C2411yescharacteristic
365C23×C4C2412yes—
366C23×C4C2411yescharacteristic
367C23×C4C2412yes—
368C23×C4C2414yes—
369C23×C4C2414yes—
370C23×C4C2411yescharacteristic
371C23×C4C2414yes—
372C23×C4C2414yes—
373C23×C4C2412yes—
374C23×C4C2412yes—
375C23×C4C2414yes—
376C23×C4C2414yes—
377C23×C4C2414yes—
378C23×C4C2411yescharacteristic
379C23×C4C2412yes—
380C23×C4C2412yes—
381C23×C4C2411yescharacteristic
382#126—88no—
383#126—88no—
384#125—88no—
385#125—88no—
386C22⋊Q8—216no—
387C22⋊Q8—216no—
388C22⋊Q8—216no—
389C22⋊Q8—216no—
390C22⋊Q8—84no—
391C22⋊Q8—84no—
392C4×Q8—84no—
393C4×Q8—84no—
394C4×D4—216no—
395C4×D4—216no—
396C2×C4⋊C4—24no—
397C2×C4⋊C4—28no—
398C2×C4⋊C4—216no—
399C2×C4⋊C4—82no—
400C2×C4⋊C4—82no—
401C2×C4⋊C4—82no—
402C2×C4⋊C4—82no—
403C2×C4⋊C4—84no—
404C2×C4⋊C4—84no—
405C2×C4⋊C4—84no—
406C2×C4⋊C4—84no—
407C2×C4⋊C4C2414yes—
408C2×C4⋊C4C2418yes—
409C2×C4⋊C4C2414yes—
410C2×C4⋊C4C2414yes—
411C2×C4⋊C4C2418yes—
412C2×C4⋊C4C2414yes—
413C2×C4⋊C4C2414yes—
414C2×C4⋊C4C2414yes—
415C2×C4⋊C4C2414yes—
416C2×C4⋊C4C2418yes—
417C2×C4⋊C4C2418yes—
418C2×C4⋊C4C2418yes—
419C2×C4⋊C4C2418yes—
420C2×C4⋊C4C2418yes—
421C2×C4⋊C4C2418yes—
422C2×C4⋊C4C2418yes—
423C2×C4⋊C4C2418yes—
424C2×C4⋊C4C2418yes—
425C2×C4⋊C4C2418yes—
426C2×C4⋊C4C2418yes—
427C2×C4⋊C4C2418yes—
428C2×C4⋊C4C2418yes—
429C2×C4⋊C4C2418yes—
430C2×C4⋊C4C2418yes—
431C2×C4⋊C4C2418yes—
432C2×C4⋊C4C2418yes—
433C2×C4⋊C4C2418yes—
434C2×C22⋊C4—24no—
435C2×C22⋊C4—216no—
436C2×C22⋊C4—216no—
437C2×C22⋊C4—28no—
438C2×C22⋊C4—24no—
439C2×C22⋊C4—82no—
440C2×C22⋊C4—82no—
441C2×C22⋊C4C2412yes—
442C2×C22⋊C4C2412yes—
443C2×C22⋊C4C2414yes—
444C2×C22⋊C4C2418yes—
445C2×C22⋊C4C2418yes—
446C2×C22⋊C4C2414yes—
447C2×C22⋊C4C2414yes—
448C2×C22⋊C4C2418yes—
449C2×C22⋊C4C2418yes—
450C2×C22⋊C4C2418yes—
451C2×C22⋊C4C2418yes—
452C2×C22⋊C4C2418yes—
453C2×C22⋊C4C2418yes—
454C2×C22⋊C4C2418yes—
455C2×C22⋊C4C2418yes—
456C2×C42—24no—
457C2×C42—82no—
458C2×C42C2414yes—
459C2×C42C2418yes—
460C2×C42C2418yes—
461C2×C42C2414yes—
462C2×C42C2414yes—
463C2×C42C2418yes—
464C2×C42C2418yes—
465#95C2414yes—
466#95C2414yes—
467#95C2414yes—
468#95C2414yes—
469#95C2414yes—
470#95C2414yes—
471#95C2418yes—
472#95C2418yes—
473#95C2418yes—
474#95C2418yes—
475#95C2418yes—
476#95C2418yes—
477#95C2418yes—
478#95C2418yes—
479#95C2418yes—
480#95C2418yes—
481#95C2418yes—
482#95C2418yes—
483#95C2418yes—
484#95C2418yes—
485#95C2418yes—
486#95C2418yes—
487#95C2418yes—
488#95C2418yes—
489#95C2418yes—
490#95C2418yes—
491#95C2418yes—
492#95C2418yes—
493#95C2418yes—
494#95C2418yes—
495#95C2418yes—
496#95C2418yes—
497#95C2418yes—
498#95C2418yes—
499#95C2418yes—
500#95C2418yes—
501C24—22no—
502C24—24no—
503C24—42no—
504C24—41no—
505C24—41no—
506C24—41no—
507C24—42no—
508C24—41no—
509C24C2×#4114yes—
510C242−1+418yes—
511C24C2512yes—
512C24C2511yescharacteristic
513C24C2511yescharacteristic
514C24C2511yescharacteristic
515C2×Q8—28no—
516C2×Q8—28no—
517C2×Q8—44no—
518C2×Q8—44no—
519C2×Q8—44no—
520C2×Q8—44no—
521C2×Q8—816no—
522C2×D4—24no—
523C2×D4—24no—
524C2×D4—28no—
525C2×D4—28no—
526C2×D4—416no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—28no—
531C22×C4—24no—
532C22×C4—28no—
533C22×C4—28no—
534C22×C4—24no—
535C22×C4—24no—
536C22×C4—28no—
537C22×C4—28no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—28no—
541C22×C4—28no—
542C22×C4—42no—
543C22×C4—41no—
544C22×C4—42no—
545C22×C4—42no—
546C22×C4—44no—
547C22×C4—44no—
548C22×C4—42no—
549C22×C4—42no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—41no—
553C22×C4—42no—
554C22×C4—42no—
555C22×C4—42no—
556C22×C4—42no—
557C22×C4—42no—
558C22×C4—44no—
559C22×C4—44no—
560C22×C4—44no—
561C22×C4—44no—
562C22×C4—44no—
563C22×C4—44no—
564C22×C4—42no—
565C22×C4—42no—
566C22×C4—44no—
567C22×C4—44no—
568C22×C4—44no—
569C22×C4—44no—
570C22×C4—42no—
571C22×C4—44no—
572C22×C4—44no—
573C22×C4—88no—
574C22×C4—88no—
575C22×C4—816no—
576C22×C4C2×#4114yes—
577C22×C4C2×#4114yes—
578C22×C4C2×#4118yes—
579C22×C4C2×#4118yes—
580C22×C4C2512yes—
581C22×C4C2514yes—
582C22×C4C2518yes—
583C22×C4C2514yes—
584C22×C4C2514yes—
585C22×C4C2514yes—
586C22×C4C2512yes—
587C22×C4C2518yes—
588C22×C4C2518yes—
589C22×C4C2518yes—
590C22×C4C2512yes—
591C22×C4C2512yes—
592C22×C4C2512yes—
593C4⋊C4—28no—
594C4⋊C4—28no—
595C4⋊C4—28no—
596C4⋊C4—216no—
597C4⋊C4—216no—
598C4⋊C4—44no—
599C4⋊C4—44no—
600C4⋊C4—44no—
601C4⋊C4—44no—
602C4⋊C4—48no—
603C4⋊C4—48no—
604C4⋊C4—48no—
605C4⋊C4—48no—
606C4⋊C4—48no—
607C4⋊C4—48no—
608C4⋊C4—48no—
609C4⋊C4—48no—
610C4⋊C4—48no—
611C4⋊C4—48no—
612C4⋊C4—48no—
613C4⋊C4—48no—
614C4⋊C4—48no—
615C4⋊C4—48no—
616C4⋊C4—48no—
617C4⋊C4—48no—
618C4⋊C4—48no—
619C4⋊C4—48no—
620C22⋊C4—24no—
621C22⋊C4—24no—
622C22⋊C4—216no—
623C22⋊C4—216no—
624C22⋊C4—28no—
625C22⋊C4—216no—
626C22⋊C4—216no—
627C22⋊C4—28no—
628C22⋊C4—28no—
629C22⋊C4—48no—
630C22⋊C4—48no—
631C22⋊C4—48no—
632C22⋊C4—48no—
633C22⋊C4—48no—
634C22⋊C4—48no—
635C42—28no—
636C42—44no—
637C42—44no—
638C42—48no—
639C42—48no—
640C42—48no—
641C42—48no—
642C23—22no—
643C23—22no—
644C23—21no—
645C23—21no—
646C23—22no—
647C23—21no—
648C23—21no—
649C23—21no—
650C23—21no—
651C23—22no—
652C23—24no—
653C23—22no—
654C23—24no—
655C23—22no—
656C23—44no—
657C23—48no—
658C23—44no—
659C23—48no—
660C23—44no—
661C23—44no—
662C23—44no—
663C23—84no—
664C23—84no—
665C23#541116yes—
666C23C22×#4112yes—
667C23C22×#4112yes—
668C23C22×#4112yes—
669C23C2×2−1+414yes—
670C23C2×2−1+414yes—
671C23C2×2−1+414yes—
672C23C2611yescharacteristic
673Q8—416no—
674Q8—88no—
675D4—48no—
676D4—48no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—28no—
684C2×C4—22no—
685C2×C4—28no—
686C2×C4—24no—
687C2×C4—28no—
688C2×C4—24no—
689C2×C4—28no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—24no—
693C2×C4—24no—
694C2×C4—24no—
695C2×C4—24no—
696C2×C4—28no—
697C2×C4—28no—
698C2×C4—28no—
699C2×C4—28no—
700C2×C4—28no—
701C2×C4—28no—
702C2×C4—24no—
703C2×C4—24no—
704C2×C4—22no—
705C2×C4—24no—
706C2×C4—24no—
707C2×C4—24no—
708C2×C4—24no—
709C2×C4—28no—
710C2×C4—28no—
711C2×C4—22no—
712C2×C4—44no—
713C2×C4—48no—
714C2×C4—44no—
715C2×C4—48no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—416no—
719C2×C4—44no—
720C2×C4—88no—
721C2×C4—88no—
722C2×C4—88no—
723C2×C4—84no—
724C2×C4—88no—
725C2×C4—84no—
726C2×C4—88no—
727C2×C4—84no—
728C2×C4—84no—
729C2×C4—88no—
730C2×C4C22×#4114yes—
731C2×C4C22×#4114yes—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—24no—
739C22—24no—
740C22—24no—
741C22—24no—
742C22—24no—
743C22—24no—
744C22—416no—
745C22—42no—
746C22—42no—
747C22—44no—
748C22—44no—
749C22—42no—
750C22—88no—
751C22C2×#54114yes—
752C22C2×#54114yes—
753C22C2×#54114yes—
754C22C23×#4111yescharacteristic
755C22C22×2−1+412yes—
756C22H(7,𝔽2)12yes—
757C22H(7,𝔽2)11yescharacteristic
758C222−1+611yescharacteristic
759C4—24no—
760C4—24no—
761C4—42no—
762C4—48no—
763C4—42no—
764C4—48no—
765C4—44no—
766C4—44no—
767C4—44no—
768C4—48no—
769C4—44no—
770C4—48no—
771C4—42no—
772C2—24no—
773C2—24no—
774C2—24no—
775C2—82no—
776C2C22×#54111yescharacteristic
777C2#6284411yescharacteristic
778C2#6285611yescharacteristic
779C2#6286412yes—
780C2#6286512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #41428C2semidirect
2. #40671C2semidirect
3. #40668C2semidirect
4. #40643C2semidirect
5. #37466C2semidirect
6. #37460C2semidirect
7. #36979C2semidirect
8. #36977C2semidirect
9. #36732C2semidirect
10. #36728C2semidirect
12. #35368C2semidirect
14. C2×#2659C2semidirect
15. C2×#2646C2semidirect
16. #34212C2semidirect
22. #2839C22semidirect
23. #2836C22semidirect
24. #2833C22semidirect
25. #2831C22semidirect
26. #2776C22semidirect
27. #2769C22semidirect
28. #2766C22semidirect
29. #2762C22semidirect
30. #2762C22semidirect
31. #2758C22semidirect
32. #2755C22semidirect
33. #2747C22semidirect
34. #2744C22semidirect
35. #2739C22semidirect
36. #2722C22semidirect
37. #2719C22semidirect
38. #2704C22semidirect
39. #2698C22semidirect
40. #2690C22semidirect
41. #2689C22semidirect
42. #2666C22semidirect
43. #2664C22semidirect
47. #2659C22semidirect
48. #2655C22semidirect
49. #2655C22semidirect
50. #2654C22semidirect
51. #2650C22semidirect
55. #2646C22semidirect
56. #2637C22semidirect
57. #2634C22semidirect
61. #2569C22semidirect
62. #2569C22semidirect
64. #2524C22semidirect
65. #2519C22semidirect
72. #2505C22semidirect
73. #2505C22semidirect
85. #2473C22semidirect
86. #2473C22semidirect
87. #2469C22semidirect
88. #2462C22semidirect
89. #2442C22semidirect
90. #2442C22semidirect
94. C2×#400C22semidirect
95. C2×#398C22semidirect
96. C2×#398C22semidirect
97. C2×#395C22semidirect
98. #2368C22semidirect
99. #2360C22semidirect
100. #2360C22semidirect
101. #2345C22semidirect
102. #2345C22semidirect
103. Q8×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#414282
#406712
#406682
#406432
#374662
#374602
#369792
#369772
#367322
#367282
#353702
#353682
#350102
C2×#26592
C2×#26462
#342122
C2×#23182