Finite Group Databasebeta

← #8429303

Subgroups — #8429303

Order 512.

5729 conjugacy classes of subgroups.

The subgroup lattice has 727 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59816C211yesmaximal, characteristic, complemented
2#59410C214yesmaximal, complemented
3#59303C212yesmaximal, complemented
4#53489C218yesmaximal, complemented
5#53018C214yesmaximal, complemented
6#52981C218yesmaximal, complemented
7#42974C218yesmaximal, complemented
8#42967C214yesmaximal, complemented
9#39362C214yesmaximal, complemented
10#38957C214yesmaximal, complemented
11#38910C214yesmaximal, complemented
12#37627C214yesmaximal, complemented
13#37620C212yesmaximal, complemented
14#36594C212yesmaximal, complemented
15#36179C211yesmaximal, characteristic, complemented
16#34954C211yesmaximal, characteristic, complemented
17#34934C212yesmaximal, complemented
18C2×#556C2214yescomplemented
19C2×#547C2214yescomplemented
20C2×#547C2212yescomplemented
21C2×D42C2214yes—
22C2×D42C2212yes—
23C2×#535C2214yescomplemented
24C2×#529C2214yescomplemented
25#2868C2211yescharacteristic, complemented
26#2858C2214yes—
27#2856C2212yes—
28#2842C2218yescomplemented
29#2837C22116yescomplemented
30#2829C22116yescomplemented
31#2823C2218yescomplemented
32#2813C2218yescomplemented
33#2795C2218yescomplemented
34#2735C2218yescomplemented
35#2705C22116yescomplemented
36#2697C22116yescomplemented
37#2685C22116yescomplemented
38#2685C22116yescomplemented
39#2685C22116yescomplemented
40#2679C2214yes—
41#2678C22116yescomplemented
42#2678C22116yescomplemented
43#2678C22116yescomplemented
44#2661C2218yescomplemented
45#2651C22116yescomplemented
46#2629C2218yescomplemented
47#2625C2214yescomplemented
48#2624C2218yescomplemented
49#2620C2218yescomplemented
50#2620C2218yescomplemented
51#2618C2218yescomplemented
52#2593C2214yescomplemented
53#2591C2218yescomplemented
54#2582C2211yescharacteristic, complemented
55#2571C2211yescharacteristic, complemented
56#2554C22116yescomplemented
57#2554C2218yescomplemented
58#2552C2212yescomplemented
59#2548C2212yes—
60#2548C2212yes—
61#2547C2214yescomplemented
62#2545C2218yescomplemented
63#2542C2212yescomplemented
64#2542C2214yescomplemented
65#2541C2212yes—
66#2540C2218yescomplemented
67#2538C2212yescomplemented
68#2538C2214yescomplemented
69#2538C2214yescomplemented
70#2537C2214yes—
71#2537C2212yes—
72#2513C2214yescomplemented
73#2512C2214yescomplemented
74#2512C2218yescomplemented
75#2512C2218yescomplemented
76#2501C2218yescomplemented
77#2501C2214yescomplemented
78#2500C2218yescomplemented
79#2497C2218yescomplemented
80#2490C2214yescomplemented
81#2490C2218yescomplemented
82#2448C2214yescomplemented
83#2445C2214yescomplemented
84#2435C2218yescomplemented
85#2435C2214yescomplemented
86#2435C2218yescomplemented
87#2431C2218yescomplemented
88#2426C2218yescomplemented
89#2426C2218yescomplemented
90#2426C2214yescomplemented
91#2423C2218yescomplemented
92#2417C2218yescomplemented
93#2416C2218yescomplemented
94#2416C2218yescomplemented
95#2414C2218yescomplemented
96#2408C2214yes—
97#2408C2218yes—
98#2408C2218yescomplemented
99#2408C2218yescomplemented
100#2395C2214yescomplemented
101#2392C2218yescomplemented
102#2354C2214yescomplemented
103#2354C2214yescomplemented
104#2352C2218yescomplemented
105#2341C2214yescomplemented
106#2309C2218yescomplemented
107C4×C4⋊Q8C2214yescomplemented
108C4×#127C2211yescharacteristic
109C4×#127C2212yes—
110C4×#127C2214yescomplemented
111C4×#124C2214yescomplemented
112C4×#121C2214yescomplemented
113#2293C2214yescomplemented
114#2293C2214yescomplemented
115C2×#384C2212yescomplemented
116C42×Q8C2212yescomplemented
117C42×D4C2211yescharacteristic, complemented
118C22×#41C2314yes—
119C23×D4C2318yes—
120C23×D4C2314yes—
121#556—416no—
122#547—416no—
123#547—48no—
124D42—48no—
125D42—416no—
126#535—416no—
127C2×C4⋊Q8C2314yes—
128C2×C4⋊Q8C2312yes—
129C2×#127C2311yescharacteristic
130C2×#127C2312yes—
131C2×#127C2314yes—
132#529—416no—
133C2×#126C2318yes—
134C2×#126C23116yes—
135C2×#125C2314yes—
136C2×#124C2318yes—
137C2×#124C2318yes—
138C2×#124C2314yes—
139C2×#124C2314yes—
140C2×#123C2318yes—
141C2×#123C2318yes—
142C2×#123C23116yes—
143C2×C22⋊Q8C2318yes—
144C2×C22⋊Q8C2318yes—
145C2×C22⋊Q8C2314yes—
146C2×C22⋊Q8C2314yes—
147C2×#121C2318yes—
148C2×#121C2318yes—
149C2×#121C2314yes—
150C2×#121C2318yes—
151C2×#121C2318yes—
152C2×#121C2318yes—
153C2×#121C2318yes—
154C2×#121C2314yes—
155C2×#121C2314yes—
156C2×#120C23116yes—
157C2×#120C2318yes—
158C2×#120C23116yes—
159C2×C4×Q8C2312yes—
160C2×C4×Q8C2312yes—
161C2×C4×Q8C2318yes—
162C2×C4×Q8C2312yes—
163C2×C4×D4C2314yes—
164C2×C4×D4C2314yes—
165C2×C4×D4C2314yes—
166C2×C4×D4C2312yes—
167C2×C4×D4C2311yescharacteristic
168C2×C4×D4C2314yes—
169C2×C4×D4C2312yes—
170C2×C4×D4C2318yes—
171C2×C4×D4C2318yes—
172C2×#117C2318yes—
173C2×#117C2318yes—
174C2×#117C2314yes—
175C22×C4⋊C4C2314yes—
176C22×C4⋊C4C2318yes—
177C22×C42C2312yes—
178#400C2314yes—
179#400C2318yes—
180#399C2318yes—
181#399C23116yes—
182#399C23116yes—
183#399C2314yes—
184#398C2314yes—
185#398C23116yes—
186#398C2318yes—
187#398C2318yes—
188#397C2318yes—
189#397C2318yes—
190#397C23116yes—
191#397C23116yes—
192#397C2314yes—
193#396C23116yes—
194#396C23116yes—
195#396C23116yes—
196#396C2318yes—
197#396C23116yes—
198#396C23116yes—
199#396C23116yes—
200#396C2318yes—
201#394C23116yes—
202#394C2318yes—
203#394C23116yes—
204#394C23116yes—
205#394C23116yes—
206#394C23116yes—
207#394C23116yes—
208#394C23116yes—
209#394C2318yes—
210#394C2318yes—
211#394C2318yes—
212#394C2318yes—
213#394C2318yes—
214#394C2318yes—
215#392C2318yes—
216#392C2318yes—
217#392C23116yes—
218#392C23116yes—
219#391C2318yes—
220#391C2314yes—
221#390C2312yes—
222#390C2314yes—
223#390C2314yes—
224#390C2314yes—
225#390C2314yes—
226#390C2314yes—
227#390C2318yes—
228#390C2318yes—
229#390C2314yes—
230#390C2314yes—
231#390C2314yes—
232#390C23116yes—
233#390C2318yes—
234#390C2318yes—
235#390C23116yes—
236#390C23116yes—
237#390C2314yes—
238#390C2318yes—
239#390C2318yes—
240#390C2318yes—
241#390C2314yes—
242#390C2314yes—
243#390C2314yes—
244#390C2314yes—
245#389C2318yes—
246#389C2318yes—
247#389C2314yes—
248#389C2314yes—
249#389C2314yes—
250#389C2314yes—
251#389C2314yes—
252#388C23116yes—
253#388C2318yes—
254#388C2318yes—
255#388C23116yes—
256#388C23116yes—
257#388C2318yes—
258#388C2318yes—
259#388C2318yes—
260#388C23116yes—
261#388C2318yes—
262#388C23116yes—
263#388C2318yes—
264#387C23116yes—
265#386C2318yes—
266#386C23116yes—
267#386C23116yes—
268#384C2312yes—
269#384C2311yescharacteristic
270#384C2314yes—
271#384C2314yes—
272#384C2312yes—
273#384C2314yes—
274#384C2312yes—
275#384C2318yes—
276#382C2314yes—
277#380C2318yes—
278#380C2314yes—
279#380C2314yes—
280#380C2318yes—
281#380C2318yes—
282#380C2318yes—
283#379C23116yes—
284#379C23116yes—
285#379C2318yes—
286#379C23116yes—
287C4×C4⋊C4C2318yes—
288C4×C4⋊C4C2318yes—
289C4×C4⋊C4C2312yes—
290C4×C4⋊C4C2314yes—
291C4×C4⋊C4C2312yes—
292C4×C4⋊C4C2314yes—
293C4×C4⋊C4C2314yes—
294C4×C4⋊C4C2311yescharacteristic
295C4×C4⋊C4C2312yes—
296C4×C4⋊C4C2312yes—
297C4×C22⋊C4C2318yes—
298C4×C22⋊C4C2314yes—
299C4×C22⋊C4C2314yes—
300C4×C22⋊C4C2318yes—
301C4×C22⋊C4C2318yes—
302C4×C22⋊C4C2312yes—
303C43C2311yescharacteristic
304C43C2314yes—
305C25C2418yes—
306C2×#41—216no—
307C2×#41—416no—
308C22×Q8C2412yes—
309C22×Q8C2414yes—
310C22×D4—48no—
311C22×D4—416no—
312C22×D4—416no—
313C22×D4—416no—
314C22×D4—416no—
315C22×D4C2414yes—
316C22×D4C2414yes—
317C22×D4C2414yes—
318C22×D4C2411yescharacteristic
319C22×D4C2412yes—
320C22×D4C2414yes—
321C22×D4C2418yes—
322C22×D4C2418yes—
323C22×D4C2418yes—
324C22×D4C2418yes—
325C22×D4C24116yes—
326C23×C4C2414yes—
327C23×C4C2418yes—
328C23×C4C2414yes—
329C23×C4C2412yes—
330C23×C4C2418yes—
331C4⋊Q8—216no—
332C4⋊Q8—44no—
333#127—216no—
334#127—24no—
335#127—28no—
336#126—416no—
337#126—432no—
338#125—48no—
339#124—48no—
340#124—48no—
341#124—416no—
342#124—416no—
343#123—432no—
344#123—416no—
345#123—416no—
346C22⋊Q8—48no—
347C22⋊Q8—48no—
348C22⋊Q8—416no—
349C22⋊Q8—416no—
350#121—48no—
351#121—48no—
352#121—416no—
353#121—416no—
354#121—416no—
355#121—416no—
356#121—416no—
357#121—416no—
358#121—48no—
359#120—432no—
360#120—416no—
361#120—432no—
362C4×Q8—28no—
363C4×Q8—28no—
364C4×Q8—44no—
365C4×Q8—416no—
366C4×D4—24no—
367C4×D4—216no—
368C4×D4—216no—
369C4×D4—216no—
370C4×D4—28no—
371C4×D4—48no—
372C4×D4—416no—
373C4×D4—416no—
374C4×D4—44no—
375#117—416no—
376#117—48no—
377#117—416no—
378C2×C4⋊C4—416no—
379C2×C4⋊C4—48no—
380C2×C4⋊C4C2414yes—
381C2×C4⋊C4C2418yes—
382C2×C4⋊C4C2412yes—
383C2×C4⋊C4C2414yes—
384C2×C4⋊C4C2414yes—
385C2×C4⋊C4C2412yes—
386C2×C4⋊C4C2411yescharacteristic
387C2×C4⋊C4C2412yes—
388C2×C4⋊C4C2412yes—
389C2×C4⋊C4C2414yes—
390C2×C4⋊C4C2414yes—
391C2×C4⋊C4C2418yes—
392C2×C4⋊C4C2412yes—
393C2×C4⋊C4C2414yes—
394C2×C4⋊C4C24116yes—
395C2×C4⋊C4C2418yes—
396C2×C4⋊C4C2414yes—
397C2×C4⋊C4C2414yes—
398C2×C4⋊C4C2418yes—
399C2×C4⋊C4C2418yes—
400C2×C4⋊C4C2418yes—
401C2×C4⋊C4C2414yes—
402C2×C4⋊C4C2418yes—
403C2×C4⋊C4C24116yes—
404C2×C4⋊C4C2414yes—
405C2×C4⋊C4C2414yes—
406C2×C22⋊C4C2418yes—
407C2×C22⋊C4C2418yes—
408C2×C22⋊C4C2418yes—
409C2×C22⋊C4C2414yes—
410C2×C22⋊C4C2412yes—
411C2×C22⋊C4C2418yes—
412C2×C22⋊C4C2418yes—
413C2×C22⋊C4C2418yes—
414C2×C22⋊C4C24116yes—
415C2×C22⋊C4C2418yes—
416C2×C22⋊C4C2414yes—
417C2×C22⋊C4C2418yes—
418C2×C22⋊C4C2418yes—
419C2×C22⋊C4C2418yes—
420C2×C22⋊C4C2418yes—
421C2×C22⋊C4C24116yes—
422C2×C22⋊C4C2418yes—
423C2×C22⋊C4C24116yes—
424C2×C22⋊C4C24116yes—
425C2×C22⋊C4C24116yes—
426C2×C22⋊C4C2418yes—
427C2×C22⋊C4C2418yes—
428C2×C22⋊C4C24116yes—
429C2×C22⋊C4C2418yes—
430C2×C22⋊C4C2418yes—
431C2×C22⋊C4C2418yes—
432C2×C22⋊C4C2418yes—
433C2×C42—28no—
434C2×C42C2414yes—
435C2×C42C2414yes—
436C2×C42C2414yes—
437C2×C42C2411yescharacteristic
438C2×C42C2412yes—
439C2×C42C2414yes—
440C2×C42C2414yes—
441C2×C42C2412yes—
442C2×C42C24116yes—
443C2×C42C2414yes—
444C2×C42C2411yescharacteristic
445C2×C42C2414yes—
446C2×C42C2412yes—
447C2×C42C2411yescharacteristic
448#95C2414yes—
449#95C2414yes—
450#95C2412yes—
451#95C2418yes—
452#95C2414yes—
453#95C2418yes—
454#95C2418yes—
455#95C2418yes—
456#95C2418yes—
457#95C2414yes—
458#95C2414yes—
459#95C2414yes—
460#95C24116yes—
461#95C24116yes—
462C24—416no—
463C24—48no—
464C24—48no—
465C24—416no—
466C24—48no—
467C24C2518yes—
468C24C2514yes—
469C24C2512yes—
470#41—832no—
471C2×Q8—24no—
472C2×Q8—24no—
473C2×Q8—216no—
474C2×Q8—28no—
475C2×Q8—24no—
476C2×D4—216no—
477C2×D4—216no—
478C2×D4—216no—
479C2×D4—24no—
480C2×D4—28no—
481C2×D4—28no—
482C2×D4—28no—
483C2×D4—28no—
484C2×D4—28no—
485C2×D4—28no—
486C2×D4—28no—
487C2×D4—24no—
488C2×D4—28no—
489C2×D4—28no—
490C2×D4—28no—
491C2×D4—42no—
492C2×D4—48no—
493C2×D4—44no—
494C2×D4—48no—
495C2×D4—416no—
496C2×D4—416no—
497C2×D4—416no—
498C2×D4—48no—
499C2×D4—416no—
500C2×D4—48no—
501C2×D4—416no—
502C2×D4—44no—
503C2×D4—42no—
504C2×D4—48no—
505C2×D4—832no—
506C2×D4—864no—
507C2×D4H(5,𝔽2)14yes—
508C22×C4—24no—
509C22×C4—216no—
510C22×C4—28no—
511C22×C4—24no—
512C22×C4—28no—
513C22×C4—216no—
514C22×C4—216no—
515C22×C4—28no—
516C22×C4—216no—
517C22×C4—28no—
518C22×C4—216no—
519C22×C4—42no—
520C22×C4—416no—
521C22×C4C2514yes—
522C22×C4C2514yes—
523C22×C4C2514yes—
524C22×C4C2518yes—
525C22×C4C2514yes—
526C22×C4C2511yescharacteristic
527C22×C4C2512yes—
528C22×C4C2514yes—
529C22×C4C2514yes—
530C22×C4C2518yes—
531C22×C4C2512yes—
532C22×C4C2511yescharacteristic
533C22×C4C2511yescharacteristic
534C22×C4C2512yes—
535C4⋊C4—28no—
536C4⋊C4—216no—
537C4⋊C4—24no—
538C4⋊C4—28no—
539C4⋊C4—28no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—28no—
544C4⋊C4—28no—
545C4⋊C4—216no—
546C4⋊C4—24no—
547C4⋊C4—42no—
548C4⋊C4—44no—
549C4⋊C4—416no—
550C4⋊C4—48no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—48no—
554C4⋊C4—48no—
555C4⋊C4—44no—
556C4⋊C4—48no—
557C4⋊C4—48no—
558C4⋊C4—44no—
559C4⋊C4—416no—
560C4⋊C4—44no—
561C22⋊C4—24no—
562C22⋊C4—216no—
563C22⋊C4—216no—
564C22⋊C4—216no—
565C22⋊C4—28no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—416no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—44no—
577C22⋊C4—48no—
578C22⋊C4—416no—
579C22⋊C4—48no—
580C22⋊C4—416no—
581C22⋊C4—416no—
582C22⋊C4—48no—
583C22⋊C4—416no—
584C22⋊C4—48no—
585C22⋊C4—416no—
586C22⋊C4—48no—
587C22⋊C4—48no—
588C42—28no—
589C42—24no—
590C42—28no—
591C42—28no—
592C42—22no—
593C42—28no—
594C42—24no—
595C42—28no—
596C42—41no—
597C42—44no—
598C42—416no—
599C42—44no—
600C42H(5,𝔽2)14yes—
601C42H(5,𝔽2)18yes—
602C23—24no—
603C23—22no—
604C23—24no—
605C23—22no—
606C23—28no—
607C23—28no—
608C23—28no—
609C23—24no—
610C23—28no—
611C23—28no—
612C23—24no—
613C23—28no—
614C23—28no—
615C23—28no—
616C23—24no—
617C23—28no—
618C23—816no—
619C23—832no—
620C23—168no—
621C23—168no—
622C23—1616no—
623C23C2×H(5,𝔽2)14yes—
624C23C2611yescharacteristic
625Q8—416no—
626Q8—48no—
627D4—28no—
628D4—416no—
629D4—416no—
630D4—416no—
631D4—84no—
632D4—88no—
633D4—816no—
634D4—816no—
635D4—816no—
636D4—816no—
637D4—832no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—21no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—28no—
652C2×C4—216no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—28no—
656C2×C4—28no—
657C2×C4—28no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—28no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—22no—
669C2×C4—48no—
670C2×C4—416no—
671C2×C4—416no—
672C2×C4—432no—
673C2×C4—816no—
674C2×C4C2×H(5,𝔽2)12yes—
675C2×C4C2×H(5,𝔽2)14yes—
676C2×C4C2×H(5,𝔽2)12yes—
677C2×C4C2×H(5,𝔽2)14yes—
678C2×C4C2×H(5,𝔽2)14yes—
679C2×C4C2×H(5,𝔽2)14yes—
680C2×C4#58514yes—
681C22—24no—
682C22—24no—
683C22—24no—
684C22—44no—
685C22—44no—
686C22—44no—
687C22—48no—
688C22—48no—
689C22—48no—
690C22—48no—
691C22—48no—
692C22—44no—
693C22—44no—
694C22—48no—
695C22—48no—
696C22—48no—
697C22—48no—
698C22—1632no—
699C22C22×H(5,𝔽2)12yes—
700C22C22×H(5,𝔽2)11yescharacteristic
701C22C22×H(5,𝔽2)11yescharacteristic
702C22C2×#58512yes—
703C222−1+611yescharacteristic
704C4—22no—
705C4—24no—
706C4—44no—
707C4—48no—
708C4—44no—
709C4—48no—
710C4—44no—
711C4—41no—
712C4—44no—
713C4—42no—
714C4—44no—
715C4—44no—
716C4#354314yes—
717C4#354618yes—
718C2—44no—
719C2—84no—
720C2—88no—
721C2C2×#354311yescharacteristic
722C2C2×#354612yes—
723C2#6291411yescharacteristic
724C2#6293112yes—
725C2#6302411yescharacteristic
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. #59816C2semidirect
2. #59410C2semidirect
3. #59303C2semidirect
4. #53489C2semidirect
5. #53018C2semidirect
6. #52981C2semidirect
7. #42974C2semidirect
8. #42967C2semidirect
9. #39362C2semidirect
10. #38957C2semidirect
11. #38910C2semidirect
12. #37627C2semidirect
13. #37620C2semidirect
14. #36594C2semidirect
15. #36179C2semidirect
16. #34954C2semidirect
17. #34934C2semidirect
18. C2×#556C22semidirect
19. C2×#547C22semidirect
20. C2×#547C22semidirect
23. C2×#535C22semidirect
24. C2×#529C22semidirect
25. #2868C22semidirect
28. #2842C22semidirect
29. #2837C22semidirect
30. #2829C22semidirect
31. #2823C22semidirect
32. #2813C22semidirect
33. #2795C22semidirect
34. #2735C22semidirect
35. #2705C22semidirect
36. #2697C22semidirect
37. #2685C22semidirect
38. #2685C22semidirect
39. #2685C22semidirect
41. #2678C22semidirect
42. #2678C22semidirect
43. #2678C22semidirect
44. #2661C22semidirect
45. #2651C22semidirect
46. #2629C22semidirect
47. #2625C22semidirect
48. #2624C22semidirect
49. #2620C22semidirect
50. #2620C22semidirect
51. #2618C22semidirect
52. #2593C22semidirect
53. #2591C22semidirect
54. #2582C22semidirect
55. #2571C22semidirect
56. #2554C22semidirect
57. #2554C22semidirect
58. #2552C22semidirect
61. #2547C22semidirect
62. #2545C22semidirect
63. #2542C22semidirect
64. #2542C22semidirect
66. #2540C22semidirect
67. #2538C22semidirect
68. #2538C22semidirect
69. #2538C22semidirect
72. #2513C22semidirect
73. #2512C22semidirect
74. #2512C22semidirect
75. #2512C22semidirect
76. #2501C22semidirect
77. #2501C22semidirect
78. #2500C22semidirect
79. #2497C22semidirect
80. #2490C22semidirect
81. #2490C22semidirect
82. #2448C22semidirect
83. #2445C22semidirect
84. #2435C22semidirect
85. #2435C22semidirect
86. #2435C22semidirect
87. #2431C22semidirect
88. #2426C22semidirect
89. #2426C22semidirect
90. #2426C22semidirect
91. #2423C22semidirect
92. #2417C22semidirect
93. #2416C22semidirect
94. #2416C22semidirect
95. #2414C22semidirect
98. #2408C22semidirect
99. #2408C22semidirect
100. #2395C22semidirect
101. #2392C22semidirect
102. #2354C22semidirect
103. #2354C22semidirect
104. #2352C22semidirect
105. #2341C22semidirect
106. #2309C22semidirect
107. C4×C4⋊Q8C22semidirect
110. C4×#127C22semidirect
111. C4×#124C22semidirect
112. C4×#121C22semidirect
113. #2293C22semidirect
114. #2293C22semidirect
115. C2×#384C22semidirect
116. C42×Q8C22semidirect
117. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598162
#594102
#593032
#534892
#530182
#529812
#429742
#429672
#393622
#389572
#389102
#376272
#376202
#365942
#361792
#349542
#349342