Finite Group Databasebeta

← #7700799

Subgroups — #7700799

Order 512.

4652 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52246C214yesmaximal, complemented
2#52210C218yesmaximal, complemented
3#46841C218yesmaximal, complemented
4#46840C218yesmaximal, complemented
5#46839C218yesmaximal, complemented
6#46838C212yesmaximal, complemented
7#46837C212yesmaximal, complemented
8#46388C212yesmaximal, complemented
9#46386C212yesmaximal
10#36674C211yesmaximal, characteristic, complemented
11#34956C211yesmaximal, characteristic
12#34879C214yesmaximal, complemented
13#34849C218yesmaximal, complemented
14#34809C212yesmaximal, complemented
15#34057C212yesmaximal, complemented
16#34048C211yesmaximal, characteristic, complemented
17C22×C4×D4C2212yes—
18C22×#117C2211yescharacteristic
19#2842C2212yes—
20#2842C2211yescharacteristic
21#2841C2218yescomplemented
22#2841C2214yescomplemented
23#2840C2211yescharacteristic
24#2794C2214yescomplemented
25#2790C2218yescomplemented
26#2789C2214yescomplemented
27#2782C2214yescomplemented
28#2770C2218yescomplemented
29#2769C2218yescomplemented
30#2768C2218yescomplemented
31#2767C2218yescomplemented
32#2766C2218yescomplemented
33#2765C2218yescomplemented
34#2764C2218yescomplemented
35#2758C2218yescomplemented
36#2750C2218yes—
37#2746C2218yescomplemented
38#2744C2218yescomplemented
39#2744C2218yescomplemented
40#2743C2218yes—
41#2739C2218yescomplemented
42#2738C2218yescomplemented
43#2738C2218yescomplemented
44#2698C2218yescomplemented
45#2695C2218yes—
46#2693C2218yes—
47#2687C2218yes—
48#2687C2218yescomplemented
49#2680C2214yescomplemented
50#2600C2214yes—
51#2579C2214yes—
52#2578C2218yescomplemented
53#2577C2218yescomplemented
54#2576C2218yes—
55#2575C2218yescomplemented
56#2574C2218yescomplemented
57#2574C2218yescomplemented
58#2573C2218yescomplemented
59#2573C2218yescomplemented
60#2572C2218yes—
61#2572C2218yescomplemented
62#2569C2218yescomplemented
63#2564C2218yescomplemented
64#2561C2218yescomplemented
65#2553C2218yescomplemented
66#2553C2218yescomplemented
67#2534C2218yes—
68#2534C2214yes—
69#2524C2218yescomplemented
70#2515C2218yescomplemented
71#2493C2218yescomplemented
72#2487C2214yescomplemented
73#2486C2214yescomplemented
74#2485C2218yes—
75#2484C2214yescomplemented
76#2483C2212yes—
77#2483C2211yescharacteristic
78#2483C2212yes—
79#2482C2214yescomplemented
80#2480C2218yescomplemented
81#2468C2218yescomplemented
82#2457C2218yes—
83#2419C2218yescomplemented
84#2418C2218yes—
85#2405C2212yes—
86#2405C2212yes—
87#2405C2212yes—
88#2403C2211yescharacteristic
89#2402C2218yescomplemented
90#2402C2214yescomplemented
91#2401C2218yescomplemented
92#2398C2214yescomplemented
93#2396C2214yescomplemented
94#2396C2218yescomplemented
95#2395C2218yes—
96#2392C2214yes—
97#2318C2218yes—
98#2318C2218yescomplemented
99#2315C2214yescomplemented
100#2314C2218yescomplemented
101#2313C2214yescomplemented
102#2313C2214yescomplemented
103#2312C2212yes—
104#2312C2212yes—
105#2312C2212yes—
106#2312C2212yes—
107#2308C2212yes—
108#2308C2212yes—
109C4×#126C2218yescomplemented
110C4×C22⋊Q8C2218yescomplemented
111C4×#123C2214yes—
112C4×#123C2214yescomplemented
113C4×#123C2218yescomplemented
114C4×#123C2214yescomplemented
115C4×#120C2214yes—
116#2298C2218yescomplemented
117#2296C2214yescomplemented
118#2295C2214yescomplemented
119#2290C2218yes—
120#2290C2218yescomplemented
121#2285C2212yescomplemented
122#2283C2214yescomplemented
123#2283C2218yescomplemented
124#2280C2211yescharacteristic
125#2280C2211yescharacteristic
126#2280C2212yes—
127#2280C2214yescomplemented
128C42×D4C2214yescomplemented
129C4×#117C2212yescomplemented
130C2×C4×C22⋊C4C2214yescomplemented
131C23×D4C2312yes—
132C24×C4C2312yes—
133C24×C4C2311yescharacteristic
134C2×#126C2318yes—
135C2×#123C2314yes—
136C2×#123C2314yes—
137C2×#123C2314yes—
138C2×#123C2318yes—
139C2×C22⋊Q8C2318yes—
140C2×#120C2314yes—
141C2×C4×Q8C2314yes—
142C2×C4×D4—216no—
143C2×C4×D4C2314yes—
144C2×C4×D4C2314yes—
145C2×C4×D4C2314yes—
146C2×C4×D4C2314yes—
147C2×C4×D4C2318yes—
148C2×C4×D4C2314yes—
149C2×#117—28no—
150C2×#117C2314yes—
151C2×#117C2314yes—
152C2×#117C2312yes—
153C2×#117C2314yes—
154C2×#117C2312yes—
155C22×C4⋊C4C2312yes—
156C22×C4⋊C4C2312yes—
157C22×C22⋊C4C2312yes—
158C22×C22⋊C4C2312yes—
159C22×C22⋊C4C2312yes—
160C22×C22⋊C4C2314yes—
161C22×C22⋊C4C2314yes—
162C22×C42C2311yescharacteristic
163C22×C42C2311yescharacteristic
164C22×C42C2312yes—
165C22×C42C2318yes—
166#401C2318yes—
167#400C2318yes—
168#400C2318yes—
169#400C2318yes—
170#400C2318yes—
171#400C2314yes—
172#400C2318yes—
173#400C2318yes—
174#400C2318yes—
175#400C2318yes—
176#400C2318yes—
177#400C2318yes—
178#400C2318yes—
179#400C2318yes—
180#399C2318yes—
181#399C2318yes—
182#399C2314yes—
183#398C2318yes—
184#398C2318yes—
185#398C2318yes—
186#398C2318yes—
187#398C2314yes—
188#398C2318yes—
189#398C2318yes—
190#398C2318yes—
191#398C2318yes—
192#398C2318yes—
193#398C2318yes—
194#397C2318yes—
195#397C2318yes—
196#397C2318yes—
197#397C2318yes—
198#397C2318yes—
199#397C2318yes—
200#397C2318yes—
201#397C2314yes—
202#396C2318yes—
203#396C2318yes—
204#396C2318yes—
205#396C2318yes—
206#396C2318yes—
207#395C2318yes—
208#395C2314yes—
209#394C2318yes—
210#394C2318yes—
211#394C2318yes—
212#394C2318yes—
213#394C2314yes—
214#393C2318yes—
215#393C2318yes—
216#393C2314yes—
217#392C2314yes—
218#391C2318yes—
219#391C2318yes—
220#389C2318yes—
221#389C2318yes—
222#389C2318yes—
223#389C2318yes—
224#388C2318yes—
225#388C2318yes—
226#388C2318yes—
227#388C2318yes—
228#388C2318yes—
229#388C2318yes—
230#388C2318yes—
231#388C2318yes—
232#388C2318yes—
233#388C2318yes—
234#388C2318yes—
235#388C2318yes—
236#388C2318yes—
237#388C2318yes—
238#388C2318yes—
239#388C2318yes—
240#387C2318yes—
241#387C2318yes—
242#387C2318yes—
243#387C2318yes—
244#387C2318yes—
245#387C2318yes—
246#387C2318yes—
247#387C2318yes—
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#386C2318yes—
261#386C2318yes—
262#386C2318yes—
263#386C2318yes—
264#386C2318yes—
265#386C2318yes—
266#386C2314yes—
267#386C2314yes—
268#386C2314yes—
269#386C2314yes—
270#385C2318yes—
271#385C2318yes—
272#385C2318yes—
273#385C2318yes—
274#385C2318yes—
275#385C2318yes—
276#385C2314yes—
277#385C2314yes—
278#385C2314yes—
279#385C2314yes—
280#385C2318yes—
281#385C2318yes—
282#385C2314yes—
283#385C2314yes—
284#385C2314yes—
285#385C2314yes—
286#384C2314yes—
287#383C2318yes—
288#383C2318yes—
289#383C2318yes—
290#383C2318yes—
291#382C2314yes—
292#382C2318yes—
293#382C2318yes—
294#382C2318yes—
295#381C2318yes—
296#381C2318yes—
297#381C2314yes—
298#381C2314yes—
299#381C2312yes—
300#381C2312yes—
301#381C2314yes—
302#381C2314yes—
303#381C2314yes—
304#381C2318yes—
305#381C2314yes—
306#381C2314yes—
307#381C2314yes—
308#380C2318yes—
309#380C2318yes—
310#380C2314yes—
311#380C2314yes—
312#380C2314yes—
313#380C2314yes—
314#380C2314yes—
315#380C2314yes—
316#380C2318yes—
317#380C2318yes—
318#380C2318yes—
319#380C2314yes—
320#380C2314yes—
321#379C2314yes—
322#379C2314yes—
323#379C2312yes—
324#379C2312yes—
325#379C2312yes—
326#379C2311yescharacteristic
327#379C2311yescharacteristic
328#379C2314yes—
329C4×C4⋊C4C2318yes—
330C4×C4⋊C4C2318yes—
331C4×C4⋊C4C2318yes—
332C4×C4⋊C4C2318yes—
333C4×C4⋊C4C2318yes—
334C4×C4⋊C4C2314yes—
335C4×C4⋊C4C2318yes—
336C4×C4⋊C4C2314yes—
337C4×C4⋊C4C2318yes—
338C4×C22⋊C4C2318yes—
339C4×C22⋊C4C2318yes—
340C4×C22⋊C4C2318yes—
341C4×C22⋊C4C2318yes—
342C4×C22⋊C4C2314yes—
343C4×C22⋊C4C2314yes—
344C4×C22⋊C4C2314yes—
345C4×C22⋊C4C2314yes—
346C4×C22⋊C4C2318yes—
347C4×C22⋊C4C2318yes—
348C4×C22⋊C4C2314yes—
349C4×C22⋊C4C2318yes—
350C4×C22⋊C4C2314yes—
351C4×C22⋊C4C2314yes—
352C4×C22⋊C4C2314yes—
353#376C2314yes—
354#376C2318yes—
355C2×#95C2318yes—
356C43C2314yes—
357C25C2412yes—
358C25C2411yescharacteristic
359C22×Q8C2414yes—
360C22×D4—28no—
361C22×D4—48no—
362C22×D4C2414yes—
363C22×D4C2414yes—
364C22×D4C2414yes—
365C23×C4—28no—
366C23×C4—44no—
367C23×C4—48no—
368C23×C4#4118yes—
369C23×C4C2414yes—
370C23×C4C2411yescharacteristic
371C23×C4C2412yes—
372C23×C4C2412yes—
373C23×C4C2412yes—
374C23×C4C2412yes—
375C23×C4C2412yes—
376C23×C4C2418yes—
377C23×C4C2412yes—
378C23×C4C2414yes—
379C23×C4C2418yes—
380C23×C4C2412yes—
381C23×C4C2411yescharacteristic
382#126—416no—
383#123—416no—
384#123—48no—
385#123—48no—
386#123—48no—
387C22⋊Q8—416no—
388#120—48no—
389C4×Q8—48no—
390C4×D4—216no—
391C4×D4—216no—
392C4×D4—216no—
393C4×D4—216no—
394C4×D4—48no—
395C4×D4—416no—
396#117—216no—
397#117—216no—
398#117—44no—
399#117—48no—
400#117—44no—
401C2×C4⋊C4—28no—
402C2×C4⋊C4—28no—
403C2×C4⋊C4C2414yes—
404C2×C4⋊C4C2414yes—
405C2×C4⋊C4C2414yes—
406C2×C4⋊C4C2414yes—
407C2×C4⋊C4C2414yes—
408C2×C4⋊C4C2414yes—
409C2×C4⋊C4C2418yes—
410C2×C4⋊C4C2414yes—
411C2×C4⋊C4C2418yes—
412C2×C4⋊C4C2418yes—
413C2×C4⋊C4C2414yes—
414C2×C4⋊C4C2418yes—
415C2×C4⋊C4C2418yes—
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×C22⋊C4—28no—
426C2×C22⋊C4—28no—
427C2×C22⋊C4—28no—
428C2×C22⋊C4—48no—
429C2×C22⋊C4—48no—
430C2×C22⋊C4C2414yes—
431C2×C22⋊C4C2414yes—
432C2×C22⋊C4C2414yes—
433C2×C22⋊C4C2414yes—
434C2×C22⋊C4C2414yes—
435C2×C22⋊C4C2414yes—
436C2×C22⋊C4C2418yes—
437C2×C22⋊C4C2418yes—
438C2×C22⋊C4C2418yes—
439C2×C22⋊C4C2418yes—
440C2×C22⋊C4C2414yes—
441C2×C22⋊C4C2414yes—
442C2×C22⋊C4C2414yes—
443C2×C22⋊C4C2414yes—
444C2×C22⋊C4C2418yes—
445C2×C22⋊C4C2414yes—
446C2×C22⋊C4C2412yes—
447C2×C22⋊C4C2412yes—
448C2×C22⋊C4C2414yes—
449C2×C22⋊C4C2414yes—
450C2×C22⋊C4C2418yes—
451C2×C22⋊C4C2418yes—
452C2×C22⋊C4C2414yes—
453C2×C22⋊C4C2418yes—
454C2×C22⋊C4C2414yes—
455C2×C22⋊C4C2418yes—
456C2×C22⋊C4C2414yes—
457C2×C22⋊C4C2414yes—
458C2×C42—24no—
459C2×C42—24no—
460C2×C42—28no—
461C2×C42—416no—
462C2×C42C2412yes—
463C2×C42C2412yes—
464C2×C42C2414yes—
465C2×C42C2412yes—
466C2×C42C2412yes—
467C2×C42C2414yes—
468C2×C42C2418yes—
469C2×C42C2414yes—
470C2×C42C2414yes—
471C2×C42C2418yes—
472C2×C42C2418yes—
473C2×C42C2418yes—
474C2×C42C2418yes—
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#95C2414yes—
488#95C2414yes—
489#95C2418yes—
490#95C2418yes—
491#95C2418yes—
492#95C2418yes—
493#95C2418yes—
494#95C2418yes—
495#95C2418yes—
496#95C2418yes—
497#95C2418yes—
498#95C2418yes—
499#95C2418yes—
500#95C2414yes—
501#95C2418yes—
502#95C2418yes—
503#95C2418yes—
504#95C2418yes—
505#95C2418yes—
506#95C2414yes—
507C24—24no—
508C24—28no—
509C24—42no—
510C24—44no—
511C24—44no—
512C24—44no—
513C24C2×#4114yes—
514C24C2512yes—
515C24C2511yescharacteristic
516C24C2514yes—
517C2×Q8—44no—
518C2×Q8—48no—
519C2×D4—28no—
520C2×D4—28no—
521C2×D4—216no—
522C2×D4—28no—
523C2×D4—28no—
524C2×D4—44no—
525C2×D4—44no—
526C2×D4—44no—
527C2×D4—432no—
528C22×C4—24no—
529C22×C4—28no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—24no—
533C22×C4—24no—
534C22×C4—24no—
535C22×C4—216no—
536C22×C4—28no—
537C22×C4—216no—
538C22×C4—28no—
539C22×C4—416no—
540C22×C4—44no—
541C22×C4—42no—
542C22×C4—44no—
543C22×C4—48no—
544C22×C4—48no—
545C22×C4—48no—
546C22×C4—48no—
547C22×C4—44no—
548C22×C4—48no—
549C22×C4—44no—
550C22×C4—44no—
551C22×C4—48no—
552C22×C4—44no—
553C22×C4—816no—
554C22×C4C2×#4114yes—
555C22×C4C2×#4118yes—
556C22×C4C2×#4118yes—
557C22×C4C2×#4114yes—
558C22×C4C2514yes—
559C22×C4C2514yes—
560C22×C4C2518yes—
561C22×C4C2518yes—
562C22×C4C2514yes—
563C22×C4C2514yes—
564C22×C4C2514yes—
565C22×C4C2514yes—
566C22×C4C2514yes—
567C22×C4C2518yes—
568C22×C4C2512yes—
569C22×C4C2511yescharacteristic
570C22×C4C2511yescharacteristic
571C4⋊C4—28no—
572C4⋊C4—28no—
573C4⋊C4—28no—
574C4⋊C4—28no—
575C4⋊C4—44no—
576C4⋊C4—44no—
577C4⋊C4—48no—
578C4⋊C4—44no—
579C4⋊C4—48no—
580C4⋊C4—44no—
581C4⋊C4—48no—
582C4⋊C4—48no—
583C4⋊C4—48no—
584C4⋊C4—48no—
585C4⋊C4—48no—
586C4⋊C4—48no—
587C4⋊C4—48no—
588C4⋊C4—48no—
589C4⋊C4—48no—
590C4⋊C4—48no—
591C4⋊C4—48no—
592C4⋊C4—48no—
593C22⋊C4—28no—
594C22⋊C4—28no—
595C22⋊C4—28no—
596C22⋊C4—28no—
597C22⋊C4—216no—
598C22⋊C4—216no—
599C22⋊C4—216no—
600C22⋊C4—216no—
601C22⋊C4—28no—
602C22⋊C4—28no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—48no—
606C22⋊C4—44no—
607C22⋊C4—44no—
608C22⋊C4—44no—
609C22⋊C4—44no—
610C22⋊C4—44no—
611C22⋊C4—42no—
612C22⋊C4—42no—
613C22⋊C4—48no—
614C22⋊C4—48no—
615C22⋊C4—44no—
616C22⋊C4—48no—
617C22⋊C4—44no—
618C22⋊C4—48no—
619C22⋊C4—44no—
620C22⋊C4—44no—
621C42—24no—
622C42—24no—
623C42—24no—
624C42—24no—
625C42—28no—
626C42—28no—
627C42—28no—
628C42—216no—
629C42—28no—
630C42—48no—
631C42—48no—
632C42—48no—
633C42—48no—
634C23—216no—
635C23—24no—
636C23—22no—
637C23—24no—
638C23—28no—
639C23—24no—
640C23—24no—
641C23—24no—
642C23—24no—
643C23—28no—
644C23—44no—
645C23—48no—
646C23—84no—
647C23—816no—
648C23—84no—
649C23—88no—
650C23C22×#4114yes—
651C23C22×#4112yes—
652C23#58518yes—
653C23C2611yescharacteristic
654Q8—88no—
655D4—416no—
656D4—416no—
657D4—416no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—216no—
661C2×C4—28no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—28no—
668C2×C4—28no—
669C2×C4—28no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—28no—
673C2×C4—28no—
674C2×C4—28no—
675C2×C4—28no—
676C2×C4—28no—
677C2×C4—28no—
678C2×C4—28no—
679C2×C4—28no—
680C2×C4—28no—
681C2×C4—28no—
682C2×C4—28no—
683C2×C4—28no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—44no—
687C2×C4—48no—
688C2×C4—48no—
689C2×C4—416no—
690C2×C4—88no—
691C2×C4—816no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—84no—
695C2×C4—84no—
696C2×C4—816no—
697C2×C4C22×#4112yes—
698C2×C4C22×#4114yes—
699C2×C4C22×#4112yes—
700C2×C4#58514yes—
701C22—216no—
702C22—24no—
703C22—22no—
704C22—24no—
705C22—24no—
706C22—24no—
707C22—28no—
708C22—48no—
709C22—44no—
710C22—48no—
711C22—44no—
712C22—44no—
713C22—816no—
714C22—88no—
715C22C23×#4111yescharacteristic
716C22C2×#58512yes—
717C22C2×#58514yes—
718C4—24no—
719C4—22no—
720C4—48no—
721C4—48no—
722C4—48no—
723C4—44no—
724C4—44no—
725C4—44no—
726C4—44no—
727C4—44no—
728C4—44no—
729C4—44no—
730C4#349114yes—
731C2—48no—
732C2—42no—
733C2—44no—
734C2#6275514yes—
735C2C2×#349111yescharacteristic
736C2#6281412yes—
subgroupG/H
centerC22×C4C25
commutator, Frattini, socle, cosocleC23C26
prime radical#2403C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52246C2semidirect
2. #52210C2semidirect
3. #46841C2semidirect
4. #46840C2semidirect
5. #46839C2semidirect
6. #46838C2semidirect
7. #46837C2semidirect
8. #46388C2semidirect
10. #36674C2semidirect
12. #34879C2semidirect
13. #34849C2semidirect
14. #34809C2semidirect
15. #34057C2semidirect
16. #34048C2semidirect
21. #2841C22semidirect
22. #2841C22semidirect
24. #2794C22semidirect
25. #2790C22semidirect
26. #2789C22semidirect
27. #2782C22semidirect
28. #2770C22semidirect
29. #2769C22semidirect
30. #2768C22semidirect
31. #2767C22semidirect
32. #2766C22semidirect
33. #2765C22semidirect
34. #2764C22semidirect
35. #2758C22semidirect
37. #2746C22semidirect
38. #2744C22semidirect
39. #2744C22semidirect
41. #2739C22semidirect
42. #2738C22semidirect
43. #2738C22semidirect
44. #2698C22semidirect
48. #2687C22semidirect
49. #2680C22semidirect
52. #2578C22semidirect
53. #2577C22semidirect
55. #2575C22semidirect
56. #2574C22semidirect
57. #2574C22semidirect
58. #2573C22semidirect
59. #2573C22semidirect
61. #2572C22semidirect
62. #2569C22semidirect
63. #2564C22semidirect
64. #2561C22semidirect
65. #2553C22semidirect
66. #2553C22semidirect
69. #2524C22semidirect
70. #2515C22semidirect
71. #2493C22semidirect
72. #2487C22semidirect
73. #2486C22semidirect
75. #2484C22semidirect
79. #2482C22semidirect
80. #2480C22semidirect
81. #2468C22semidirect
83. #2419C22semidirect
89. #2402C22semidirect
90. #2402C22semidirect
91. #2401C22semidirect
92. #2398C22semidirect
93. #2396C22semidirect
94. #2396C22semidirect
98. #2318C22semidirect
99. #2315C22semidirect
100. #2314C22semidirect
101. #2313C22semidirect
102. #2313C22semidirect
109. C4×#126C22semidirect
110. C4×C22⋊Q8C22semidirect
112. C4×#123C22semidirect
113. C4×#123C22semidirect
114. C4×#123C22semidirect
116. #2298C22semidirect
117. #2296C22semidirect
118. #2295C22semidirect
120. #2290C22semidirect
121. #2285C22semidirect
122. #2283C22semidirect
123. #2283C22semidirect
127. #2280C22semidirect
128. C42×D4C22semidirect
129. C4×#117C22semidirect
130. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#522462
#522102
#468412
#468402
#468392
#468382
#468372
#463882
#463862
#366742
#349562
#348792
#348492
#348092
#340572
#340482