Finite Group Databasebeta

← #8429346

Subgroups — #8429346

Order 512.

5871 conjugacy classes of subgroups.

The subgroup lattice has 751 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C212yesmaximal, complemented
2#59816C211yesmaximal, characteristic, complemented
3#59228C214yesmaximal, complemented
4#53905C218yesmaximal, complemented
5#53102C218yesmaximal, complemented
6#52967C214yesmaximal, complemented
7#42987C214yesmaximal, complemented
8#42975C218yesmaximal, complemented
9#39342C214yesmaximal, complemented
10#38953C214yesmaximal, complemented
11#38910C214yesmaximal, complemented
12#37636C212yesmaximal, complemented
13#37621C214yesmaximal, complemented
14#36594C211yesmaximal, characteristic, complemented
15#36187C212yesmaximal, complemented
16#34934C212yesmaximal, complemented
17#34925C211yesmaximal, characteristic, complemented
18C2×#556C2212yescomplemented
19C2×#555C2214yescomplemented
20C2×D42C2212yes—
21C2×D42C2214yes—
22C2×#535C2214yescomplemented
23C2×#532C2214yescomplemented
24C2×#529C2214yescomplemented
25#2868C2211yescharacteristic, complemented
26#2858C2212yes—
27#2856C2214yes—
28#2832C2218yescomplemented
29#2828C22116yescomplemented
30#2818C2218yescomplemented
31#2813C22116yescomplemented
32#2812C2218yescomplemented
33#2756C22116yescomplemented
34#2736C2218yescomplemented
35#2733C2218yescomplemented
36#2685C22116yescomplemented
37#2685C22116yescomplemented
38#2679C2214yes—
39#2678C22116yescomplemented
40#2670C22116yescomplemented
41#2670C22116yescomplemented
42#2670C22116yescomplemented
43#2669C22116yescomplemented
44#2662C22116yescomplemented
45#2662C2218yescomplemented
46#2632C2218yescomplemented
47#2628C2218yescomplemented
48#2624C2218yescomplemented
49#2619C2218yescomplemented
50#2616C2214yescomplemented
51#2615C2218yescomplemented
52#2593C22116yescomplemented
53#2563C2214yescomplemented
54#2562C2218yescomplemented
55#2555C2214yescomplemented
56#2554C2218yescomplemented
57#2552C2212yescomplemented
58#2551C2211yescharacteristic, complemented
59#2548C2212yes—
60#2548C2218yescomplemented
61#2547C2212yescomplemented
62#2545C2214yescomplemented
63#2541C2212yes—
64#2541C2212yes—
65#2541C2218yescomplemented
66#2540C2218yescomplemented
67#2538C2212yescomplemented
68#2538C2214yescomplemented
69#2537C2212yes—
70#2537C2214yes—
71#2537C2214yescomplemented
72#2537C2214yescomplemented
73#2537C2211yescharacteristic, complemented
74#2512C2218yescomplemented
75#2512C2214yescomplemented
76#2500C2218yescomplemented
77#2500C2218yescomplemented
78#2495C2218yescomplemented
79#2491C2218yescomplemented
80#2491C2218yescomplemented
81#2491C2218yescomplemented
82#2491C2214yescomplemented
83#2490C2218yescomplemented
84#2490C2214yescomplemented
85#2445C2214yescomplemented
86#2435C2214yescomplemented
87#2433C2218yescomplemented
88#2428C2214yescomplemented
89#2426C2214yescomplemented
90#2414C2218yescomplemented
91#2414C2218yescomplemented
92#2414C2218yescomplemented
93#2414C2218yescomplemented
94#2414C2218yescomplemented
95#2408C2218yes—
96#2408C2214yes—
97#2408C2218yescomplemented
98#2408C2218yescomplemented
99#2408C2218yescomplemented
100#2392C2218yescomplemented
101#2388C2214yescomplemented
102#2354C2214yescomplemented
103#2354C2214yescomplemented
104#2354C2214yescomplemented
105#2354C2218yescomplemented
106#2347C2214yescomplemented
107#2309C2218yescomplemented
108C4×C4⋊Q8C2212yescomplemented
109C4×#127C2212yes—
110C4×#127C2211yescharacteristic
111C4×#127C2214yescomplemented
112C4×#121C2214yescomplemented
113C4×#121C2214yescomplemented
114#2293C2214yescomplemented
115#2285C2214yescomplemented
116C42×Q8C2211yescharacteristic, complemented
117C42×D4C2212yescomplemented
118C22×#41C2314yes—
119C23×D4C2318yes—
120C23×D4C2314yes—
121#556—48no—
122#555—416no—
123D42—416no—
124D42—48no—
125#535—416no—
126#532—416no—
127C2×C4⋊Q8C2312yes—
128C2×C4⋊Q8C2312yes—
129C2×C4⋊Q8C2314yes—
130C2×C4⋊Q8C2312yes—
131C2×#127C2312yes—
132C2×#127C2311yescharacteristic
133C2×#127C2314yes—
134C2×#127C2318yes—
135C2×#127C2314yes—
136#529—416no—
137C2×#126C2318yes—
138C2×#126C2318yes—
139C2×#125C2314yes—
140C2×#124C2314yes—
141C2×#124C2318yes—
142C2×#124C2318yes—
143C2×#124C23116yes—
144C2×#124C2314yes—
145C2×#124C2314yes—
146C2×#123C2318yes—
147C2×C22⋊Q8C2314yes—
148C2×C22⋊Q8C2314yes—
149C2×#121C2314yes—
150C2×#121C2318yes—
151C2×#121C2318yes—
152C2×#121C2314yes—
153C2×#121C2318yes—
154C2×#121C2318yes—
155C2×#121C2318yes—
156C2×#121C2318yes—
157C2×#121C2314yes—
158C2×#121C2314yes—
159C2×#121C2318yes—
160C2×#121C2314yes—
161C2×#121C2318yes—
162C2×#120C23116yes—
163C2×#120C2318yes—
164C2×#120C23116yes—
165C2×#120C23116yes—
166C2×C4×Q8C2312yes—
167C2×C4×Q8C2311yescharacteristic
168C2×C4×Q8C2314yes—
169C2×C4×D4C2314yes—
170C2×C4×D4C2314yes—
171C2×C4×D4C2314yes—
172C2×C4×D4C2312yes—
173C2×C4×D4C2312yes—
174C2×C4×D4C2314yes—
175C2×C4×D4C2312yes—
176C2×C4×D4C2318yes—
177C2×C4×D4C2318yes—
178C2×C4×D4C2318yes—
179C2×C4×D4C2312yes—
180C2×#117C2314yes—
181C2×#117C2318yes—
182C2×#117C2318yes—
183C2×#117C2318yes—
184C22×C42C2314yes—
185#400C23116yes—
186#399C23116yes—
187#398C2318yes—
188#397C2318yes—
189#397C2318yes—
190#397C23116yes—
191#396C2318yes—
192#396C2318yes—
193#396C23116yes—
194#395C2314yes—
195#395C2318yes—
196#394C23116yes—
197#394C2318yes—
198#394C23116yes—
199#394C2318yes—
200#394C2318yes—
201#394C2318yes—
202#394C2318yes—
203#394C23116yes—
204#394C23116yes—
205#394C2318yes—
206#394C23116yes—
207#394C23116yes—
208#394C23116yes—
209#394C2314yes—
210#394C2318yes—
211#394C23116yes—
212#394C2318yes—
213#393C23116yes—
214#393C23116yes—
215#393C2314yes—
216#392C2314yes—
217#392C2318yes—
218#392C23116yes—
219#392C23116yes—
220#392C23116yes—
221#392C23116yes—
222#392C23116yes—
223#392C23116yes—
224#392C2318yes—
225#392C2318yes—
226#391C2314yes—
227#390C2314yes—
228#390C2314yes—
229#390C2314yes—
230#390C2314yes—
231#390C2312yes—
232#390C2314yes—
233#390C2314yes—
234#390C2318yes—
235#390C2318yes—
236#390C2318yes—
237#390C2314yes—
238#390C23116yes—
239#390C2318yes—
240#390C23116yes—
241#390C2318yes—
242#390C2318yes—
243#390C2318yes—
244#390C23116yes—
245#390C2314yes—
246#390C23116yes—
247#390C2314yes—
248#390C2314yes—
249#389C2318yes—
250#389C2314yes—
251#389C2314yes—
252#389C2314yes—
253#389C2314yes—
254#388C23116yes—
255#388C23116yes—
256#388C23116yes—
257#388C2318yes—
258#388C2318yes—
259#388C2318yes—
260#388C23116yes—
261#388C23116yes—
262#388C23116yes—
263#388C23116yes—
264#388C23116yes—
265#388C2318yes—
266#386C2318yes—
267#386C2318yes—
268#384C2311yescharacteristic
269#384C2312yes—
270#384C2314yes—
271#384C2314yes—
272#384C2314yes—
273#383C2318yes—
274#382C2318yes—
275#380C2314yes—
276#380C2314yes—
277#380C2318yes—
278#380C2318yes—
279#380C2318yes—
280#380C2318yes—
281#380C2314yes—
282#380C2318yes—
283#380C2318yes—
284#379C23116yes—
285#379C23116yes—
286#379C2318yes—
287C4×C4⋊C4C2318yes—
288C4×C4⋊C4C2318yes—
289C4×C4⋊C4C2312yes—
290C4×C4⋊C4C2318yes—
291C4×C4⋊C4C2318yes—
292C4×C4⋊C4C2312yes—
293C4×C4⋊C4C2312yes—
294C4×C4⋊C4C2312yes—
295C4×C4⋊C4C2314yes—
296C4×C4⋊C4C2311yescharacteristic
297C4×C4⋊C4C2312yes—
298C4×C22⋊C4C2314yes—
299C4×C22⋊C4C2314yes—
300C4×C22⋊C4C2314yes—
301C4×C22⋊C4C2318yes—
302C4×C22⋊C4C2314yes—
303C43C2311yescharacteristic
304C43C2312yes—
305C25C2418yes—
306C2×#41—416no—
307C2×#41—48no—
308C22×Q8C2411yescharacteristic
309C22×Q8C2414yes—
310C22×Q8C2414yes—
311C22×D4—48no—
312C22×D4—416no—
313C22×D4—416no—
314C22×D4—416no—
315C22×D4—416no—
316C22×D4C2412yes—
317C22×D4C2414yes—
318C22×D4C2414yes—
319C22×D4C2414yes—
320C22×D4C2414yes—
321C22×D4C2412yes—
322C22×D4C2418yes—
323C22×D4C2418yes—
324C22×D4C2418yes—
325C22×D4C24116yes—
326C22×D4C2418yes—
327C22×D4C2418yes—
328C22×D4C24116yes—
329C22×D4C2414yes—
330C23×C4C2414yes—
331C23×C4C2418yes—
332C23×C4C2414yes—
333C23×C4C2414yes—
334C23×C4C2414yes—
335C4⋊Q8—28no—
336C4⋊Q8—48no—
337C4⋊Q8—44no—
338C4⋊Q8—82no—
339#127—28no—
340#127—24no—
341#127—48no—
342#127—48no—
343#127—416no—
344#126—416no—
345#126—416no—
346#125—48no—
347#124—416no—
348#124—416no—
349#124—48no—
350#124—48no—
351#124—432no—
352#124—84no—
353#123—416no—
354C22⋊Q8—48no—
355C22⋊Q8—48no—
356#121—216no—
357#121—416no—
358#121—48no—
359#121—48no—
360#121—48no—
361#121—48no—
362#121—416no—
363#121—416no—
364#121—416no—
365#121—416no—
366#121—416no—
367#121—416no—
368#121—88no—
369#120—432no—
370#120—432no—
371#120—416no—
372#120—816no—
373C4×Q8—24no—
374C4×Q8—28no—
375C4×Q8—48no—
376C4×D4—216no—
377C4×D4—28no—
378C4×D4—216no—
379C4×D4—216no—
380C4×D4—28no—
381C4×D4—44no—
382C4×D4—48no—
383C4×D4—416no—
384C4×D4—416no—
385C4×D4—416no—
386C4×D4—44no—
387#117—216no—
388#117—416no—
389#117—416no—
390#117—416no—
391C2×C4⋊C4C2412yes—
392C2×C4⋊C4C2414yes—
393C2×C4⋊C4C2418yes—
394C2×C4⋊C4C2414yes—
395C2×C4⋊C4C2414yes—
396C2×C4⋊C4C2414yes—
397C2×C4⋊C4C2412yes—
398C2×C4⋊C4C2412yes—
399C2×C4⋊C4C2412yes—
400C2×C4⋊C4C2414yes—
401C2×C4⋊C4C2412yes—
402C2×C4⋊C4C2418yes—
403C2×C4⋊C4C2418yes—
404C2×C4⋊C4C2412yes—
405C2×C4⋊C4C2418yes—
406C2×C4⋊C4C2418yes—
407C2×C4⋊C4C2414yes—
408C2×C4⋊C4C2418yes—
409C2×C4⋊C4C2418yes—
410C2×C4⋊C4C2418yes—
411C2×C4⋊C4C2414yes—
412C2×C4⋊C4C2411yescharacteristic
413C2×C22⋊C4C2418yes—
414C2×C22⋊C4C2418yes—
415C2×C22⋊C4C2418yes—
416C2×C22⋊C4C2418yes—
417C2×C22⋊C4C2414yes—
418C2×C22⋊C4C2414yes—
419C2×C22⋊C4C2418yes—
420C2×C22⋊C4C24116yes—
421C2×C22⋊C4C24116yes—
422C2×C22⋊C4C2418yes—
423C2×C22⋊C4C2418yes—
424C2×C22⋊C4C2418yes—
425C2×C22⋊C4C2418yes—
426C2×C22⋊C4C2418yes—
427C2×C22⋊C4C2418yes—
428C2×C22⋊C4C2414yes—
429C2×C22⋊C4C2414yes—
430C2×C22⋊C4C2418yes—
431C2×C22⋊C4C2418yes—
432C2×C22⋊C4C2418yes—
433C2×C22⋊C4C2418yes—
434C2×C22⋊C4C2418yes—
435C2×C22⋊C4C24116yes—
436C2×C22⋊C4C24116yes—
437C2×C22⋊C4C24116yes—
438C2×C22⋊C4C24116yes—
439C2×C22⋊C4C2418yes—
440C2×C22⋊C4C2418yes—
441C2×C42—216no—
442C2×C42C2414yes—
443C2×C42C2414yes—
444C2×C42C2418yes—
445C2×C42C2412yes—
446C2×C42C2411yescharacteristic
447C2×C42C2414yes—
448C2×C42C2414yes—
449C2×C42C2412yes—
450C2×C42C2414yes—
451C2×C42C24116yes—
452C2×C42C2412yes—
453C2×C42C2411yescharacteristic
454C2×C42C2411yescharacteristic
455C2×C42C2412yes—
456#95C2414yes—
457#95C2414yes—
458#95C2414yes—
459#95C2414yes—
460#95C2418yes—
461#95C2414yes—
462#95C2418yes—
463#95C2414yes—
464#95C2412yes—
465#95C2418yes—
466#95C24116yes—
467#95C24116yes—
468#95C24116yes—
469C24—416no—
470C24—48no—
471C24—48no—
472C24—416no—
473C24—48no—
474C24C2514yes—
475C24C2518yes—
476C24C2514yes—
477#41—832no—
478C2×Q8—22no—
479C2×Q8—24no—
480C2×Q8—28no—
481C2×Q8—44no—
482C2×Q8—44no—
483C2×Q8—48no—
484C2×Q8—44no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—28no—
488C2×D4—28no—
489C2×D4—28no—
490C2×D4—28no—
491C2×D4—28no—
492C2×D4—28no—
493C2×D4—28no—
494C2×D4—28no—
495C2×D4—24no—
496C2×D4—216no—
497C2×D4—24no—
498C2×D4—28no—
499C2×D4—28no—
500C2×D4—48no—
501C2×D4—48no—
502C2×D4—42no—
503C2×D4—44no—
504C2×D4—48no—
505C2×D4—48no—
506C2×D4—416no—
507C2×D4—416no—
508C2×D4—416no—
509C2×D4—48no—
510C2×D4—48no—
511C2×D4—48no—
512C2×D4—48no—
513C2×D4—48no—
514C2×D4—44no—
515C2×D4—48no—
516C2×D4—48no—
517C2×D4—42no—
518C2×D4—44no—
519C2×D4—48no—
520C2×D4—48no—
521C2×D4—416no—
522C2×D4—416no—
523C2×D4—416no—
524C2×D4—416no—
525C2×D4—864no—
526C2×D4—832no—
527C22×C4—28no—
528C22×C4—28no—
529C22×C4—28no—
530C22×C4—28no—
531C22×C4—216no—
532C22×C4—216no—
533C22×C4—28no—
534C22×C4—216no—
535C22×C4—28no—
536C22×C4—28no—
537C22×C4—216no—
538C22×C4—28no—
539C22×C4—44no—
540C22×C4—44no—
541C22×C4C2514yes—
542C22×C4C2514yes—
543C22×C4C2518yes—
544C22×C4C2514yes—
545C22×C4C2514yes—
546C22×C4C2511yescharacteristic
547C22×C4C2518yes—
548C22×C4C2514yes—
549C22×C4C2512yes—
550C22×C4C2512yes—
551C22×C4C2511yescharacteristic
552C22×C4C2512yes—
553C22×C4C2511yescharacteristic
554C22×C4C2512yes—
555C4⋊C4—28no—
556C4⋊C4—24no—
557C4⋊C4—28no—
558C4⋊C4—216no—
559C4⋊C4—28no—
560C4⋊C4—28no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—28no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—48no—
567C4⋊C4—48no—
568C4⋊C4—44no—
569C4⋊C4—48no—
570C4⋊C4—42no—
571C4⋊C4—48no—
572C4⋊C4—48no—
573C4⋊C4—48no—
574C4⋊C4—48no—
575C4⋊C4—44no—
576C4⋊C4H(5,𝔽2)14yes—
577C22⋊C4—216no—
578C22⋊C4—216no—
579C22⋊C4—216no—
580C22⋊C4—216no—
581C22⋊C4—28no—
582C22⋊C4—28no—
583C22⋊C4—216no—
584C22⋊C4—416no—
585C22⋊C4—416no—
586C22⋊C4—48no—
587C22⋊C4—48no—
588C22⋊C4—44no—
589C22⋊C4—48no—
590C22⋊C4—48no—
591C22⋊C4—48no—
592C22⋊C4—48no—
593C22⋊C4—48no—
594C22⋊C4—48no—
595C22⋊C4—48no—
596C22⋊C4—44no—
597C22⋊C4—48no—
598C22⋊C4—416no—
599C22⋊C4—416no—
600C22⋊C4—48no—
601C22⋊C4—416no—
602C22⋊C4—416no—
603C22⋊C4—48no—
604C22⋊C4—48no—
605C42—28no—
606C42—28no—
607C42—28no—
608C42—216no—
609C42—28no—
610C42—22no—
611C42—24no—
612C42—24no—
613C42—28no—
614C42—416no—
615C42—42no—
616C42—41no—
617C42H(5,𝔽2)18yes—
618C42H(5,𝔽2)14yes—
619C23—24no—
620C23—24no—
621C23—28no—
622C23—24no—
623C23—28no—
624C23—28no—
625C23—28no—
626C23—24no—
627C23—24no—
628C23—28no—
629C23—24no—
630C23—24no—
631C23—28no—
632C23—24no—
633C23—28no—
634C23—28no—
635C23—24no—
636C23—28no—
637C23—24no—
638C23—832no—
639C23—816no—
640C23—168no—
641C23—168no—
642C23—1616no—
643C23C2611yescharacteristic
644Q8—44no—
645Q8—88no—
646Q8—88no—
647D4—48no—
648D4—416no—
649D4—416no—
650D4—416no—
651D4—816no—
652D4—84no—
653D4—88no—
654D4—816no—
655D4—816no—
656D4—832no—
657D4—816no—
658D4—88no—
659D4—816no—
660D4—1616no—
661C2×C4—21no—
662C2×C4—22no—
663C2×C4—24no—
664C2×C4—21no—
665C2×C4—22no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—28no—
671C2×C4—24no—
672C2×C4—21no—
673C2×C4—22no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—28no—
677C2×C4—28no—
678C2×C4—24no—
679C2×C4—28no—
680C2×C4—28no—
681C2×C4—24no—
682C2×C4—22no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—28no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—28no—
690C2×C4—416no—
691C2×C4—432no—
692C2×C4—416no—
693C2×C4—416no—
694C2×C4—88no—
695C2×C4C2×H(5,𝔽2)14yes—
696C2×C4C2×H(5,𝔽2)14yes—
697C2×C4C2×H(5,𝔽2)12yes—
698C2×C4C2×H(5,𝔽2)14yes—
699C2×C4C2×H(5,𝔽2)14yes—
700C2×C4C2×H(5,𝔽2)14yes—
701C2×C4C2×H(5,𝔽2)12yes—
702C2×C4#58514yes—
703C22—44no—
704C22—48no—
705C22—48no—
706C22—48no—
707C22—44no—
708C22—44no—
709C22—44no—
710C22—48no—
711C22—44no—
712C22—48no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—48no—
717C22—44no—
718C22—44no—
719C22—48no—
720C22—48no—
721C22—48no—
722C22—1632no—
723C22C22×H(5,𝔽2)11yescharacteristic
724C22C22×H(5,𝔽2)12yes—
725C22C22×H(5,𝔽2)11yescharacteristic
726C22C2×#58512yes—
727C22H(7,𝔽2)11yescharacteristic
728C4—24no—
729C4—22no—
730C4—24no—
731C4—44no—
732C4—48no—
733C4—44no—
734C4—44no—
735C4—42no—
736C4—41no—
737C4—48no—
738C4—44no—
739C4—44no—
740C4#354618yes—
741C4#354914yes—
742C2—84no—
743C2—88no—
744C2—84no—
745C2C2×#354612yes—
746C2C2×#354911yescharacteristic
747C2#6291611yescharacteristic
748C2#6293012yes—
749C2#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. #59822C2semidirect
2. #59816C2semidirect
3. #59228C2semidirect
4. #53905C2semidirect
5. #53102C2semidirect
6. #52967C2semidirect
7. #42987C2semidirect
8. #42975C2semidirect
9. #39342C2semidirect
10. #38953C2semidirect
11. #38910C2semidirect
12. #37636C2semidirect
13. #37621C2semidirect
14. #36594C2semidirect
15. #36187C2semidirect
16. #34934C2semidirect
17. #34925C2semidirect
18. C2×#556C22semidirect
19. C2×#555C22semidirect
22. C2×#535C22semidirect
23. C2×#532C22semidirect
24. C2×#529C22semidirect
25. #2868C22semidirect
28. #2832C22semidirect
29. #2828C22semidirect
30. #2818C22semidirect
31. #2813C22semidirect
32. #2812C22semidirect
33. #2756C22semidirect
34. #2736C22semidirect
35. #2733C22semidirect
36. #2685C22semidirect
37. #2685C22semidirect
39. #2678C22semidirect
40. #2670C22semidirect
41. #2670C22semidirect
42. #2670C22semidirect
43. #2669C22semidirect
44. #2662C22semidirect
45. #2662C22semidirect
46. #2632C22semidirect
47. #2628C22semidirect
48. #2624C22semidirect
49. #2619C22semidirect
50. #2616C22semidirect
51. #2615C22semidirect
52. #2593C22semidirect
53. #2563C22semidirect
54. #2562C22semidirect
55. #2555C22semidirect
56. #2554C22semidirect
57. #2552C22semidirect
58. #2551C22semidirect
60. #2548C22semidirect
61. #2547C22semidirect
62. #2545C22semidirect
65. #2541C22semidirect
66. #2540C22semidirect
67. #2538C22semidirect
68. #2538C22semidirect
71. #2537C22semidirect
72. #2537C22semidirect
73. #2537C22semidirect
74. #2512C22semidirect
75. #2512C22semidirect
76. #2500C22semidirect
77. #2500C22semidirect
78. #2495C22semidirect
79. #2491C22semidirect
80. #2491C22semidirect
81. #2491C22semidirect
82. #2491C22semidirect
83. #2490C22semidirect
84. #2490C22semidirect
85. #2445C22semidirect
86. #2435C22semidirect
87. #2433C22semidirect
88. #2428C22semidirect
89. #2426C22semidirect
90. #2414C22semidirect
91. #2414C22semidirect
92. #2414C22semidirect
93. #2414C22semidirect
94. #2414C22semidirect
97. #2408C22semidirect
98. #2408C22semidirect
99. #2408C22semidirect
100. #2392C22semidirect
101. #2388C22semidirect
102. #2354C22semidirect
103. #2354C22semidirect
104. #2354C22semidirect
105. #2354C22semidirect
106. #2347C22semidirect
107. #2309C22semidirect
108. C4×C4⋊Q8C22semidirect
111. C4×#127C22semidirect
112. C4×#121C22semidirect
113. C4×#121C22semidirect
114. #2293C22semidirect
115. #2285C22semidirect
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
#598222
#598162
#592282
#539052
#531022
#529672
#429872
#429752
#393422
#389532
#389102
#376362
#376212
#365942
#361872
#349342
#349252