Finite Group Databasebeta

← #7658277

Subgroups — #7658277

Order 512.

4758 conjugacy classes of subgroups.

The subgroup lattice has 765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#40626C218yesmaximal, complemented
2#40623C218yesmaximal, complemented
3#40622C218yesmaximal, complemented
4#40613C214yesmaximal, complemented
5#40611C218yesmaximal, complemented
6#37481C212yesmaximal, complemented
7#37481C212yesmaximal, complemented
8#37480C212yesmaximal, complemented
9#37475C212yesmaximal
10#37475C211yesmaximal, characteristic
11#36674C212yesmaximal, complemented
12C2×#2842C211yesmaximal, characteristic
13#35839C214yesmaximal, complemented
14#35779C218yesmaximal, complemented
15#34176C212yesmaximal
16#34176C211yesmaximal, characteristic
17C23×C22⋊C4C2211yescharacteristic
18#2842C2211yescharacteristic
19#2842C2212yes—
20#2842C2211yescharacteristic
21#2842C2218yes—
22#2842C2214yes—
23#2842C2212yes—
24#2842C2212yes—
25#2842C2212yes—
26#2842C2212yes—
27#2842C2211yescharacteristic
28#2841C2218yescomplemented
29#2841C2218yescomplemented
30#2841C2218yescomplemented
31#2840C2212yes—
32#2840C2211yescharacteristic
33#2807C2214yescomplemented
34#2807C2214yescomplemented
35#2790C2218yescomplemented
36#2790C2218yescomplemented
37#2788C2218yescomplemented
38#2768C2218yescomplemented
39#2768C2218yescomplemented
40#2742C2214yescomplemented
41#2729C2218yescomplemented
42#2720C2218yescomplemented
43#2720C2218yescomplemented
44#2704C2218yescomplemented
45#2704C2218yescomplemented
46#2677C2214yescomplemented
47#2667C2218yescomplemented
48#2667C2218yescomplemented
49#2667C2218yescomplemented
50#2667C2218yescomplemented
51#2665C2218yescomplemented
52#2665C2218yescomplemented
53#2629C2218yescomplemented
54#2629C2218yescomplemented
55#2628C2218yescomplemented
56#2626C2218yes—
57#2626C2214yes—
58#2626C2218yes—
59#2626C2218yes—
60#2626C2218yes—
61#2608C2218yescomplemented
62#2608C2218yescomplemented
63#2607C2218yescomplemented
64#2589C2218yescomplemented
65#2587C2218yescomplemented
66#2587C2218yescomplemented
67#2583C2218yescomplemented
68#2574C2218yescomplemented
69#2556C2218yescomplemented
70#2556C2218yescomplemented
71#2549C2214yescomplemented
72#2522C2218yescomplemented
73#2522C2218yescomplemented
74#2505C2218yescomplemented
75#2502C2214yescomplemented
76#2497C2218yescomplemented
77#2473C2218yescomplemented
78#2473C2218yescomplemented
79#2465C2218yescomplemented
80#2441C2218yescomplemented
81#2441C2218yescomplemented
82#2441C2218yescomplemented
83#2441C2218yescomplemented
84#2440C2218yescomplemented
85#2439C2218yescomplemented
86#2439C2218yescomplemented
87#2437C2218yes—
88#2437C2218yes—
89#2437C2218yes—
90#2437C2218yes—
91#2437C2214yes—
92#2429C2218yescomplemented
93#2423C2218yescomplemented
94#2396C2218yescomplemented
95#2396C2218yescomplemented
96#2396C2218yescomplemented
97C2×#399C2214yes—
98C2×#396C2218yes—
99#2368C2214yescomplemented
100#2360C2218yescomplemented
101#2345C2214yescomplemented
102#2342C2214yes—
103#2342C2214yes—
104#2342C2214yes—
105#2342C2214yes—
106#2342C2214yes—
107#2342C2214yes—
108#2342C2214yes—
109#2342C2214yes—
110#2342C2214yes—
111#2342C2214yes—
112#2342C2214yes—
113#2342C2214yes—
114#2315C2214yes—
115#2315C2212yes—
116#2312C2214yes—
117#2312C2214yes—
118#2312C2214yes—
119#2280C2212yes—
120#2280C2212yes—
121#2280C2212yes—
122#2280C2212yes—
123#2280C2212yes—
124#2280C2212yes—
125C2×#379C2212yes—
126C2×#379C2211yescharacteristic
127C2×#379C2212yes—
128C2×#379C2211yescharacteristic
129#2273C2214yes—
130#2273C2212yes—
131C26C2311yescharacteristic
132C24×C4C2312yes—
133C2×C4⋊Q8C2318yescomplemented
134C2×#125C2318yescomplemented
135C2×#125C2318yescomplemented
136C2×C22⋊Q8C2318yes—
137C2×C22⋊Q8C2314yes—
138C2×C22⋊Q8C2318yes—
139C2×C22⋊Q8C2318yes—
140C2×C22⋊Q8C2318yes—
141C2×C4×Q8C2318yescomplemented
142C2×#117C2314yes—
143C2×#117C2314yes—
144C2×#117C2314yes—
145C2×#117C2314yes—
146C2×#117C2314yes—
147C2×#117C2314yes—
148C22×C4⋊C4C2314yes—
149C22×C4⋊C4C2318yes—
150C22×C22⋊C4Q8116yescomplemented
151C22×C22⋊C4C2314yes—
152C22×C22⋊C4C2312yes—
153C22×C22⋊C4C2314yes—
154C22×C22⋊C4C2312yes—
155C22×C22⋊C4C2314yes—
156C22×C22⋊C4C2314yes—
157C22×C22⋊C4C2314yes—
158C22×C22⋊C4C2314yes—
159C22×C22⋊C4C2314yes—
160C22×C22⋊C4C2314yes—
161C22×C22⋊C4C2312yes—
162C22×C22⋊C4C2312yes—
163C22×C22⋊C4C2312yes—
164C22×C22⋊C4C2312yes—
165C22×C22⋊C4C2311yescharacteristic
166C22×C22⋊C4C2312yes—
167C22×C22⋊C4C2311yescharacteristic
168#400C2318yescomplemented
169#400C2318yescomplemented
170#400C2318yescomplemented
171#400C2318yescomplemented
172#400C2318yescomplemented
173#399C2314yes—
174#399C2318yes—
175#399C2318yes—
176#399C2318yes—
177#399C2318yes—
178#399C2314yes—
179#399C2314yes—
180#399C2314yes—
181#399C2318yes—
182#399C2318yes—
183#399C2314yes—
184#399C2314yes—
185#399C2318yes—
186#398C2318yescomplemented
187#398C2318yescomplemented
188#398C2318yescomplemented
189#398C2318yescomplemented
190#398C2318yescomplemented
191#398C2318yescomplemented
192#398C2318yescomplemented
193#398C2318yescomplemented
194#398C2318yescomplemented
195#398C2318yescomplemented
196#398C2318yescomplemented
197#398C2318yescomplemented
198#398C2318yescomplemented
199#398C2318yescomplemented
200#396C2318yes—
201#396C2318yes—
202#396C2318yes—
203#396C2318yes—
204#396C2318yes—
205#396C2318yes—
206#396C2318yes—
207#396C2318yes—
208#396C2318yes—
209#396C2318yes—
210#396C2318yes—
211#396C2318yes—
212#396C2318yes—
213#396C2318yes—
214#396C2318yes—
215#396C2318yes—
216#396C2318yes—
217#396C2318yes—
218#396C2318yes—
219#396C2318yes—
220#395C2318yescomplemented
221#395C2318yescomplemented
222#395C2318yescomplemented
223#395C2318yescomplemented
224#395C2318yescomplemented
225#393C2318yes—
226#393C2318yes—
227#393C2318yes—
228#393C2318yes—
229#393C2314yes—
230#393C2318yes—
231#393C2314yes—
232#391C2318yescomplemented
233#391C2318yescomplemented
234#391C2318yescomplemented
235#391C2318yescomplemented
236#389C2318yescomplemented
237#389C2318yescomplemented
238#389C2318yescomplemented
239#389C2318yescomplemented
240#389C2318yescomplemented
241#389C2318yescomplemented
242#389C2318yescomplemented
243#389C2318yescomplemented
244#389C2318yescomplemented
245#389C2318yescomplemented
246#389C2318yescomplemented
247#389C2318yescomplemented
248#389C2318yescomplemented
249#389C2318yescomplemented
250#388C2318yes—
251#388C2318yes—
252#388C2318yes—
253#388C2318yes—
254#388C2318yes—
255#388C2318yes—
256#388C2318yes—
257#388C2318yes—
258#388C2318yes—
259#388C2318yes—
260#388C2318yes—
261#388C2318yes—
262#387C2318yescomplemented
263#387C2318yescomplemented
264#387C2318yescomplemented
265#387C2318yescomplemented
266#387C2318yescomplemented
267#387C2318yescomplemented
268#387C2318yescomplemented
269#387C2318yescomplemented
270#387C2318yescomplemented
271#387C2318yescomplemented
272#387C2318yescomplemented
273#387C2318yescomplemented
274#385C2318yes—
275#385C2318yes—
276#385C2314yes—
277#385C2318yes—
278#385C2318yes—
279#385C2314yes—
280#385C2318yes—
281#385C2318yes—
282#385C2318yes—
283#385C2318yes—
284#385C2318yes—
285#385C2318yes—
286#385C2318yes—
287#385C2318yes—
288#385C2318yes—
289#385C2318yes—
290#384C2318yescomplemented
291#384C2318yescomplemented
292#382C2318yescomplemented
293#381C2314yes—
294#381C2314yes—
295#381C2314yes—
296#381C2314yes—
297#381C2314yes—
298#381C2314yes—
299#380C2314yes—
300#380C2314yes—
301#380C2314yes—
302#380C2314yes—
303#380C2314yes—
304#380C2314yes—
305#380C2318yes—
306#380C2314yes—
307#380C2314yes—
308#380C2314yes—
309#380C2314yes—
310#380C2314yes—
311#380C2314yes—
312#380C2318yes—
313#380C2314yes—
314#380C2318yes—
315#380C2318yes—
316#379C2312yes—
317#379C2314yes—
318#379C2314yes—
319#379C2312yes—
320#379C2312yes—
321#379C2311yescharacteristic
322#379C2312yes—
323#379C2312yes—
324#379C2311yescharacteristic
325#379C2312yes—
326#379C2312yes—
327#379C2314yes—
328#379C2314yes—
329#379C2314yes—
330#379C2314yes—
331#379C2314yes—
332#379C2314yes—
333C4×C4⋊C4C2318yescomplemented
334C4×C4⋊C4C2318yescomplemented
335C4×C4⋊C4C2318yescomplemented
336C4×C22⋊C4C2314yes—
337C4×C22⋊C4C2314yes—
338C4×C22⋊C4C2314yes—
339C4×C22⋊C4C2314yes—
340C4×C22⋊C4C2314yes—
341C4×C22⋊C4C2314yes—
342C4×C22⋊C4C2318yes—
343C4×C22⋊C4C2318yes—
344C4×C22⋊C4C2318yes—
345C4×C22⋊C4C2318yes—
346C4×C22⋊C4C2318yes—
347C4×C22⋊C4C2314yes—
348C4×C22⋊C4C2314yes—
349C4×C22⋊C4C2314yes—
350C4×C22⋊C4C2314yes—
351C4×C22⋊C4C2314yes—
352C4×C22⋊C4C2314yes—
353C4×C22⋊C4C2314yes—
354C4×C22⋊C4C2314yes—
355C2×#95C2314yes—
356C25—44no—
357C25—84no—
358C25C2×Q818yes—
359C25C2412yes—
360C25C2411yescharacteristic
361C25C2411yescharacteristic
362C25C2412yes—
363C25C2411yescharacteristic
364C22×Q8C2418yes—
365C22×Q8C2414yes—
366C23×C4—84no—
367C23×C4C2×Q8116yes—
368C23×C4C2418yes—
369C23×C4C2414yes—
370C23×C4C2418yes—
371C23×C4C2414yes—
372C23×C4C2412yes—
373C23×C4C2412yes—
374C23×C4C2412yes—
375C23×C4C2412yes—
376C23×C4C2412yes—
377C23×C4C2412yes—
378C4⋊Q8—88no—
379#125—88no—
380#125—88no—
381C22⋊Q8—416no—
382C22⋊Q8—48no—
383C22⋊Q8—88no—
384C22⋊Q8—88no—
385C22⋊Q8—88no—
386C4×Q8—88no—
387#117—84no—
388#117—84no—
389#117—84no—
390#117—84no—
391#117—84no—
392#117—84no—
393C2×C4⋊C4—48no—
394C2×C4⋊C4—88no—
395C2×C4⋊C4C2418yes—
396C2×C4⋊C4C2418yes—
397C2×C4⋊C4C2418yes—
398C2×C4⋊C4C2418yes—
399C2×C4⋊C4C2414yes—
400C2×C4⋊C4C2418yes—
401C2×C4⋊C4C2414yes—
402C2×C4⋊C4C2418yes—
403C2×C4⋊C4C2418yes—
404C2×C4⋊C4C2418yes—
405C2×C4⋊C4C2418yes—
406C2×C4⋊C4C2418yes—
407C2×C4⋊C4C2418yes—
408C2×C4⋊C4C2418yes—
409C2×C4⋊C4C2418yes—
410C2×C4⋊C4C2418yes—
411C2×C4⋊C4C2418yes—
412C2×C4⋊C4C2418yes—
413C2×C4⋊C4C2418yes—
414C2×C4⋊C4C2418yes—
415C2×C4⋊C4C2418yes—
416C2×C4⋊C4C2418yes—
417C2×C4⋊C4C2418yes—
418C2×C4⋊C4C2418yes—
419C2×C4⋊C4C2418yes—
420C2×C4⋊C4C2418yes—
421C2×C4⋊C4C2414yes—
422C2×C22⋊C4—48no—
423C2×C22⋊C4—44no—
424C2×C22⋊C4—48no—
425C2×C22⋊C4—44no—
426C2×C22⋊C4—84no—
427C2×C22⋊C4—84no—
428C2×C22⋊C4—84no—
429C2×C22⋊C4—84no—
430C2×C22⋊C4—84no—
431C2×C22⋊C4—84no—
432C2×C22⋊C4C2×Q8116yes—
433C2×C22⋊C4C2×Q818yes—
434C2×C22⋊C4C2×Q8116yes—
435C2×C22⋊C4C2×Q818yes—
436C2×C22⋊C4C2×Q8116yes—
437C2×C22⋊C4C2×Q8116yes—
438C2×C22⋊C4C2×Q8116yes—
439C2×C22⋊C4C2418yes—
440C2×C22⋊C4C2414yes—
441C2×C22⋊C4C2414yes—
442C2×C22⋊C4C2414yes—
443C2×C22⋊C4C2414yes—
444C2×C22⋊C4C2414yes—
445C2×C22⋊C4C2414yes—
446C2×C22⋊C4C2414yes—
447C2×C22⋊C4C2414yes—
448C2×C22⋊C4C2414yes—
449C2×C22⋊C4C2414yes—
450C2×C22⋊C4C2414yes—
451C2×C22⋊C4C2414yes—
452C2×C22⋊C4C2414yes—
453C2×C22⋊C4C2418yes—
454C2×C22⋊C4C2418yes—
455C2×C22⋊C4C2418yes—
456C2×C22⋊C4C2418yes—
457C2×C22⋊C4C2418yes—
458C2×C22⋊C4C2418yes—
459C2×C22⋊C4C2414yes—
460C2×C22⋊C4C2414yes—
461C2×C22⋊C4C2414yes—
462C2×C22⋊C4C2412yes—
463C2×C22⋊C4C2414yes—
464C2×C22⋊C4C2412yes—
465C2×C22⋊C4C2414yes—
466C2×C22⋊C4C2418yes—
467C2×C22⋊C4C2414yes—
468C2×C22⋊C4C2411yescharacteristic
469C2×C22⋊C4C2412yes—
470C2×C22⋊C4C2411yescharacteristic
471C2×C22⋊C4C2412yes—
472C2×C22⋊C4C2412yes—
473C2×C22⋊C4C2412yes—
474C2×C22⋊C4C2411yescharacteristic
475C2×C22⋊C4C2412yes—
476C2×C22⋊C4C2412yes—
477C2×C22⋊C4C2411yescharacteristic
478C2×C42C2418yes—
479C2×C42C2418yes—
480C2×C42C2418yes—
481C2×C42C2418yes—
482C2×C42C2418yes—
483C2×C42C2418yes—
484#95C2414yes—
485#95C2418yes—
486#95C2414yes—
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—
501#95C2418yes—
502#95C2418yes—
503#95C2418yes—
504#95C2414yes—
505#95C2418yes—
506#95C2414yes—
507#95C2418yes—
508#95C2418yes—
509C24—28no—
510C24—24no—
511C24—44no—
512C24—42no—
513C24—44no—
514C24—44no—
515C24—44no—
516C24—44no—
517C24—44no—
518C24—44no—
519C24—416no—
520C24—44no—
521C24—42no—
522C24—816no—
523C24—832no—
524C24C22×Q818yes—
525C24C22×Q814yes—
526C24C22×Q814yes—
527C24C22×Q818yes—
528C24C22×Q814yes—
529C24C2511yescharacteristic
530C24C2512yes—
531C24C2512yes—
532C24C2511yescharacteristic
533C24C2511yescharacteristic
534C2×Q8—48no—
535C2×Q8—48no—
536C2×Q8—48no—
537C2×Q8—44no—
538C2×Q8—48no—
539C22×C4—216no—
540C22×C4—28no—
541C22×C4—44no—
542C22×C4—44no—
543C22×C4—44no—
544C22×C4—44no—
545C22×C4—44no—
546C22×C4—44no—
547C22×C4—48no—
548C22×C4—48no—
549C22×C4—48no—
550C22×C4—48no—
551C22×C4—44no—
552C22×C4—48no—
553C22×C4—48no—
554C22×C4—48no—
555C22×C4—816no—
556C22×C4C22×Q818yes—
557C22×C4C22×Q818yes—
558C22×C4C22×Q818yes—
559C22×C4C22×Q818yes—
560C22×C4C22×Q818yes—
561C22×C4C22×Q818yes—
562C22×C4C2518yes—
563C22×C4C2518yes—
564C22×C4C2518yes—
565C22×C4C2514yes—
566C22×C4C2518yes—
567C22×C4C2514yes—
568C22×C4C2518yes—
569C22×C4C2512yes—
570C22×C4C2512yes—
571C22×C4C2512yes—
572C22×C4C2512yes—
573C4⋊C4—44no—
574C4⋊C4—44no—
575C4⋊C4—48no—
576C4⋊C4—48no—
577C4⋊C4—48no—
578C4⋊C4—48no—
579C4⋊C4—48no—
580C4⋊C4—48no—
581C4⋊C4—48no—
582C4⋊C4—48no—
583C4⋊C4—48no—
584C4⋊C4—48no—
585C4⋊C4—48no—
586C4⋊C4—48no—
587C4⋊C4—48no—
588C4⋊C4—44no—
589C4⋊C4—48no—
590C4⋊C4—48no—
591C4⋊C4—48no—
592C4⋊C4—48no—
593C4⋊C4—48no—
594C4⋊C4—48no—
595C4⋊C4—48no—
596C4⋊C4—48no—
597C4⋊C4—48no—
598C4⋊C4—48no—
599C4⋊C4—48no—
600C22⋊C4—216no—
601C22⋊C4—28no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—44no—
606C22⋊C4—42no—
607C22⋊C4—48no—
608C22⋊C4—44no—
609C22⋊C4—44no—
610C22⋊C4—42no—
611C22⋊C4—44no—
612C22⋊C4—44no—
613C22⋊C4—44no—
614C22⋊C4—44no—
615C22⋊C4—44no—
616C22⋊C4—44no—
617C22⋊C4—44no—
618C22⋊C4—44no—
619C22⋊C4—44no—
620C22⋊C4—44no—
621C22⋊C4—44no—
622C22⋊C4—44no—
623C22⋊C4—48no—
624C22⋊C4—48no—
625C22⋊C4—48no—
626C22⋊C4—48no—
627C22⋊C4—48no—
628C22⋊C4—48no—
629C22⋊C4C22×Q818yes—
630C22⋊C4C22×Q818yes—
631C22⋊C4C22×Q818yes—
632C22⋊C4C22×Q814yes—
633C22⋊C4C22×Q818yes—
634C22⋊C4C22×Q818yes—
635C22⋊C4C22×Q814yes—
636C22⋊C4C22×Q814yes—
637C22⋊C4C22×Q818yes—
638C22⋊C4C22×Q814yes—
639C42—48no—
640C42—48no—
641C42—48no—
642C42—48no—
643C42—48no—
644C42—48no—
645C23—24no—
646C23—24no—
647C23—22no—
648C23—24no—
649C23—22no—
650C23—24no—
651C23—24no—
652C23—24no—
653C23—24no—
654C23—24no—
655C23—24no—
656C23—216no—
657C23—28no—
658C23—48no—
659C23—44no—
660C23—48no—
661C23—44no—
662C23—48no—
663C23—48no—
664C23—48no—
665C23—48no—
666C23—48no—
667C23—48no—
668C23—416no—
669C23—816no—
670C23—88no—
671C23—88no—
672C23—816no—
673C23—864no—
674C23C23×Q814yes—
675C23C23×Q812yes—
676C23C23×Q812yes—
677C23C23×Q814yes—
678C23C23×Q812yes—
679C23#58514yes—
680C23C2611yescharacteristic
681Q8—816no—
682Q8—164no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—28no—
688C2×C4—28no—
689C2×C4—28no—
690C2×C4—28no—
691C2×C4—24no—
692C2×C4—28no—
693C2×C4—24no—
694C2×C4—28no—
695C2×C4—28no—
696C2×C4—28no—
697C2×C4—28no—
698C2×C4—28no—
699C2×C4—28no—
700C2×C4—28no—
701C2×C4—28no—
702C2×C4—28no—
703C2×C4—28no—
704C2×C4—28no—
705C2×C4—28no—
706C2×C4—48no—
707C2×C4—48no—
708C2×C4—48no—
709C2×C4—48no—
710C2×C4—48no—
711C2×C4—48no—
712C2×C4—816no—
713C2×C4—88no—
714C2×C4—168no—
715C2×C4—164no—
716C2×C4C23×Q814yes—
717C2×C4C23×Q814yes—
718C2×C4C23×Q814yes—
719C2×C4C23×Q814yes—
720C22—28no—
721C22—24no—
722C22—24no—
723C22—24no—
724C22—24no—
725C22—24no—
726C22—24no—
727C22—24no—
728C22—24no—
729C22—22no—
730C22—24no—
731C22—22no—
732C22—416no—
733C22—48no—
734C22—44no—
735C22—48no—
736C22—44no—
737C22—816no—
738C22—88no—
739C22—88no—
740C22—816no—
741C22#345814yes—
742C22C24×Q811yescharacteristic
743C22C2×#58512yes—
744C22H(7,𝔽2)14yes—
745C4—24no—
746C4—24no—
747C4—24no—
748C4—24no—
749C4—44no—
750C4—48no—
751C4—48no—
752C4—44no—
753C4—48no—
754C4—48no—
755C4—48no—
756C2—24no—
757C2—44no—
758C2—42no—
759C2—44no—
760C2—42no—
761C2C2×#345811yescharacteristic
762C2#6284312yes—
763C2#6304214yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC26C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #40626C2semidirect
2. #40623C2semidirect
3. #40622C2semidirect
4. #40613C2semidirect
5. #40611C2semidirect
6. #37481C2semidirect
7. #37481C2semidirect
8. #37480C2semidirect
11. #36674C2semidirect
13. #35839C2semidirect
14. #35779C2semidirect
28. #2841C22semidirect
29. #2841C22semidirect
30. #2841C22semidirect
33. #2807C22semidirect
34. #2807C22semidirect
35. #2790C22semidirect
36. #2790C22semidirect
37. #2788C22semidirect
38. #2768C22semidirect
39. #2768C22semidirect
40. #2742C22semidirect
41. #2729C22semidirect
42. #2720C22semidirect
43. #2720C22semidirect
44. #2704C22semidirect
45. #2704C22semidirect
46. #2677C22semidirect
47. #2667C22semidirect
48. #2667C22semidirect
49. #2667C22semidirect
50. #2667C22semidirect
51. #2665C22semidirect
52. #2665C22semidirect
53. #2629C22semidirect
54. #2629C22semidirect
55. #2628C22semidirect
61. #2608C22semidirect
62. #2608C22semidirect
63. #2607C22semidirect
64. #2589C22semidirect
65. #2587C22semidirect
66. #2587C22semidirect
67. #2583C22semidirect
68. #2574C22semidirect
69. #2556C22semidirect
70. #2556C22semidirect
71. #2549C22semidirect
72. #2522C22semidirect
73. #2522C22semidirect
74. #2505C22semidirect
75. #2502C22semidirect
76. #2497C22semidirect
77. #2473C22semidirect
78. #2473C22semidirect
79. #2465C22semidirect
80. #2441C22semidirect
81. #2441C22semidirect
82. #2441C22semidirect
83. #2441C22semidirect
84. #2440C22semidirect
85. #2439C22semidirect
86. #2439C22semidirect
92. #2429C22semidirect
93. #2423C22semidirect
94. #2396C22semidirect
95. #2396C22semidirect
96. #2396C22semidirect
99. #2368C22semidirect
100. #2360C22semidirect
101. #2345C22semidirect
133. C2×C4⋊Q8C23semidirect
134. C2×#125C23semidirect
135. C2×#125C23semidirect
141. C2×C4×Q8C23semidirect
150. C22×C22⋊C4Q8semidirect
168. #400C23semidirect
169. #400C23semidirect
170. #400C23semidirect
171. #400C23semidirect
172. #400C23semidirect
186. #398C23semidirect
187. #398C23semidirect
188. #398C23semidirect
189. #398C23semidirect
190. #398C23semidirect
191. #398C23semidirect
192. #398C23semidirect
193. #398C23semidirect
194. #398C23semidirect
195. #398C23semidirect
196. #398C23semidirect
197. #398C23semidirect
198. #398C23semidirect
199. #398C23semidirect
220. #395C23semidirect
221. #395C23semidirect
222. #395C23semidirect
223. #395C23semidirect
224. #395C23semidirect
232. #391C23semidirect
233. #391C23semidirect
234. #391C23semidirect
235. #391C23semidirect
236. #389C23semidirect
237. #389C23semidirect
238. #389C23semidirect
239. #389C23semidirect
240. #389C23semidirect
241. #389C23semidirect
242. #389C23semidirect
243. #389C23semidirect
244. #389C23semidirect
245. #389C23semidirect
246. #389C23semidirect
247. #389C23semidirect
248. #389C23semidirect
249. #389C23semidirect
262. #387C23semidirect
263. #387C23semidirect
264. #387C23semidirect
265. #387C23semidirect
266. #387C23semidirect
267. #387C23semidirect
268. #387C23semidirect
269. #387C23semidirect
270. #387C23semidirect
271. #387C23semidirect
272. #387C23semidirect
273. #387C23semidirect
290. #384C23semidirect
291. #384C23semidirect
292. #382C23semidirect
333. C4×C4⋊C4C23semidirect
334. C4×C4⋊C4C23semidirect
335. C4×C4⋊C4C23semidirect

Maximal subgroups

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

subgroupindex
#406262
#406232
#406222
#406132
#406112
#374812
#374802
#374752
#366742
C2×#28422
#358392
#357792
#341762