Finite Group Databasebeta

← #6374718

Subgroups — #6374718

Order 512.

2964 conjugacy classes of subgroups.

The subgroup lattice has 759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62815C211yesmaximal, characteristic
2#60125C211yesmaximal, characteristic, complemented
3#34056C211yesmaximal, characteristic, complemented
4#21901C214yesmaximal, complemented
5#21857C214yesmaximal, complemented
6#21845C212yesmaximal, complemented
7#21816C212yesmaximal, complemented
8#21775C214yesmaximal, complemented
9#21417C212yesmaximal, complemented
10#21416C212yesmaximal, complemented
11#21384C214yesmaximal, complemented
12#20749C214yesmaximal, complemented
13#3512C414yescomplemented
14#3511C414yescomplemented
15#3510C414yescomplemented
16#3509C412yescomplemented
17#3508C412yescomplemented
18#3507—22no—
19#3506—22no—
20#3505—22no—
21#3505—22no—
22#3480—24no—
23#3475—24no—
24#3455C2212yes—
25#3455C2212yes—
26#3449C2212yes—
27#3444C2212yes—
28#3444C2212yes—
29C2×#533C2211yescharacteristic
30C2×#532C2211yescharacteristic
31#3428C2212yes—
32C2×C4×#41C2211yescharacteristic
33#2925—24no—
34#2925—24no—
35#2921C2212yes—
36#2921C2212yescomplemented
37#2920C2212yes—
38#2920C2212yescomplemented
39C2×#423C2212yescomplemented
40#2879C2212yes—
41#2873C2212yescomplemented
42#2320—22no—
43#2319—22no—
44#2318—22no—
45#2318—22no—
46#2298C2212yes—
47#2298C2212yescomplemented
48#2297C2212yes—
49#2296C2212yescomplemented
50#2283C2212yes—
51#2283C2212yescomplemented
52C4×#117C2211yescharacteristic, complemented
53C2×#376C2211yescharacteristic, complemented
54#1995C2214yescomplemented
55#1995C2214yescomplemented
56#1986C2218yescomplemented
57#1980C2218yes—
58#1963C2214yes—
59#1963C2214yes—
60#1897C2218yescomplemented
61#1896C2218yescomplemented
62#1871C22116yescomplemented
63#1826C2218yes—
64#1806C22116yescomplemented
65#1789C2218yes—
66#1759C2218yescomplemented
67C4×#104C2218yescomplemented
68C22×#41C2312yes—
69C22×#41C2311yescharacteristic
70C22×M16C2314yes—
71#559—24no—
72#559—28no—
73#557—24no—
74#556—24no—
75#556—28no—
76#556—24no—
77#555—24no—
78#554—24no—
79#553—28no—
80#553—24no—
81#553—24no—
82#553—28no—
83#553—28no—
84#552—28no—
85#552—24no—
86#552—24no—
87#551—28no—
88#551—28no—
89#550—24no—
90#548—24no—
91#548—24no—
92#547—24no—
93#546—24no—
94#546—24no—
95#542C2×C418yes—
96#542C2×C418yescomplemented
97#541C2×C414yes—
98#541C2×C414yescomplemented
99#540C2×C414yes—
100#540C2×C414yescomplemented
101#539—24no—
102#539—24no—
103#538—24no—
104#538—24no—
105#537C2×C418yes—
106#536—22no—
107#536C2×C414yes—
108#535—22no—
109#535C2×C414yes—
110#534—22no—
111#534—22no—
112#533—22no—
113#533—22no—
114#533C2×C414yes—
115#533C2×C414yescomplemented
116#533C2×C412yescomplemented
117#533C2×C412yescomplemented
118#533C2312yes—
119#533C2312yes—
120#532—24no—
121#532—22no—
122#532—22no—
123#532C2×C414yes—
124#532C2×C412yescomplemented
125#532C2×C412yescomplemented
126#532C2×C414yescomplemented
127#532C2312yes—
128#532C2312yes—
129C2×C4⋊Q8C2×C411yescharacteristic, complemented
130C2×C4⋊Q8C2×C412yescomplemented
131C2×#127C2×C411yescharacteristic, complemented
132#529—28no—
133#529—28no—
134#529—24no—
135#529—24no—
136#529—24no—
137#529—24no—
138#529C2×C418yes—
139#529C2×C418yescomplemented
140C2×#125C2×C412yescomplemented
141C2×#124C2×C412yescomplemented
142#525—24no—
143#525—24no—
144#525—24no—
145#525C2314yes—
146#525C2314yes—
147C2×C22⋊Q8—22no—
148C2×#121—22no—
149#520—24no—
150#520C2×C418yescomplemented
151#519C2×C414yescomplemented
152#518—24no—
153#518C2×C414yescomplemented
154C4×#41—24no—
155C4×#41—24no—
156C4×#41—24no—
157C4×#41C2×C412yes—
158C4×#41C2×C412yes—
159C4×#41C2×C412yes—
160C4×#41C2×C412yes—
161C4×#41D414yes—
162C4×#41D414yes—
163C4×#41C2314yes—
164C4×#41C2314yes—
165C2×C4×Q8—22no—
166C2×C4×Q8D412yes—
167C2×C4×D4—22no—
168C2×C4×D4D412yes—
169C2×C4×D4D412yes—
170C2×C4×D4D412yes—
171C2×#117—24no—
172C2×#117C2312yes—
173C2×#117C2312yes—
174C2×#117C2311yescharacteristic
175C2×#117C2311yescharacteristic
176C2×#117C2311yescharacteristic
177C22×C42C2312yes—
178C22×C42C2311yescharacteristic
179C22×C42C2311yescharacteristic
180C22×C42C2311yescharacteristic
181#433—24no—
182#433—24no—
183#433—28no—
184#432—22no—
185#432—22no—
186#432—24no—
187#431—22no—
188#431—22no—
189#431—24no—
190#423—24no—
191#423C2314yes—
192#423C2314yes—
193C2×C4⋊C8—24no—
194C2×#104C23116yes—
195C2×#104C23116yes—
196#408—24no—
197#408—24no—
198#407C2314yes—
199#407C2314yes—
200#405—28no—
201C4×M16C2314yes—
202C4×M16C2314yes—
203#391—22no—
204#390—22no—
205#389—24no—
206#388—24no—
207#388—24no—
208#387—24no—
209#387—24no—
210#386—22no—
211#386—22no—
212#385—24no—
213#383—22no—
214#383—22no—
215#382—22no—
216#382—22no—
217#381—22no—
218#381—22no—
219#380—22no—
220#380—22no—
221C4×C4⋊C4—22no—
222C4×C4⋊C4C2314yes—
223C4×C4⋊C4C2314yes—
224C4×C22⋊C4—22no—
225C4×C22⋊C4C2314yes—
226C4×C22⋊C4C2314yes—
227#376—22no—
228#376C2312yes—
229#376C2312yes—
230#376C2312yes—
231C2×#95—22no—
232C43C2312yes—
233#339C23116yes—
234#339C23116yes—
235C2×#41—24no—
236C2×#41—24no—
237C2×#41—22no—
238C2×#41—22no—
239C2×#41—44no—
240C2×#41—48no—
241C2×#41C22×C414yes—
242C2×#41C22×C412yes—
243C2×#41C22×C412yes—
244C2×#41C2×D412yes—
245C2×#41C2×D412yes—
246C2×#41C2414yes—
247C22×Q8—22no—
248C22×Q8C22×C412yes—
249C22×Q8C2×D411yescharacteristic
250C22×D4—22no—
251C22×D4—22no—
252C22×D4C22×C412yes—
253C22×D4C2×D411yescharacteristic
254C22×D4C2×D411yescharacteristic
255C22×D4C2×D411yescharacteristic
256C23×C4—22no—
257C23×C4—22no—
258C23×C4C2×D412yes—
259C23×C4C2×D412yes—
260C23×C4C2×D412yes—
261C23×C4C2411yescharacteristic
262C23×C4C2411yescharacteristic
263C23×C4C2411yescharacteristic
264C2×M16—24no—
265C2×M16—48no—
266C2×M16C2418yes—
267C22×C8—24no—
268C4⋊Q8—24no—
269C4⋊Q8—22no—
270C4⋊Q8—22no—
271C4⋊Q8—22no—
272C4⋊Q8C22×C412yes—
273C4⋊Q8C22×C412yes—
274C4⋊Q8C22×C414yes—
275C4⋊Q8C22×C414yes—
276#127—24no—
277#127—22no—
278#127C22×C412yes—
279#127C22×C412yes—
280#126—28no—
281#126—28no—
282#126—28no—
283#126—28no—
284#126—28no—
285#126—28no—
286#125—28no—
287#125—28no—
288#125—24no—
289#125—24no—
290#125—24no—
291#125C22×C414yes—
292#125C22×C414yes—
293#124—24no—
294#124—24no—
295#124—28no—
296#124—28no—
297#124—24no—
298#124—24no—
299#124—24no—
300#124C22×C414yes—
301#124C22×C414yes—
302#123—24no—
303#123—24no—
304#123—28no—
305#123—28no—
306#123—24no—
307#123—24no—
308#123—28no—
309#123—28no—
310#123—28no—
311#123—28no—
312C22⋊Q8—28no—
313C22⋊Q8—24no—
314C22⋊Q8—24no—
315C22⋊Q8—24no—
316C22⋊Q8—24no—
317C22⋊Q8—24no—
318C22⋊Q8—24no—
319C22⋊Q8—28no—
320C22⋊Q8—28no—
321C22⋊Q8C22×C418yes—
322C22⋊Q8C22×C418yes—
323#121—28no—
324#121—28no—
325#121—28no—
326#121—24no—
327#121—24no—
328#121—24no—
329#121—24no—
330#121—24no—
331#121—24no—
332#121—28no—
333#121—28no—
334#121C22×C418yes—
335#121C22×C418yes—
336#120—24no—
337#120—24no—
338#120—24no—
339#120—24no—
340C4×Q8—28no—
341C4×Q8—24no—
342C4×Q8—24no—
343C4×Q8—24no—
344C4×Q8—24no—
345C4×Q8—24no—
346C4×Q8—24no—
347C4×Q8C22⋊C414yes—
348C4×Q8C22⋊C414yes—
349C4×Q8C22⋊C414yes—
350C4×Q8C22⋊C414yes—
351C4×Q8C22×C418yes—
352C4×Q8C22×C418yes—
353C4×D4—28no—
354C4×D4—28no—
355C4×D4—28no—
356C4×D4—28no—
357C4×D4—28no—
358C4×D4—28no—
359C4×D4—28no—
360C4×D4—28no—
361C4×D4—28no—
362C4×D4—24no—
363C4×D4—24no—
364C4×D4—24no—
365C4×D4—24no—
366C4×D4—24no—
367C4×D4—24no—
368C4×D4C22⋊C414yes—
369C4×D4C22⋊C414yes—
370C4×D4C22⋊C414yes—
371C4×D4C22⋊C414yes—
372C4×D4C22⋊C414yes—
373C4×D4C22⋊C414yes—
374C4×D4C22⋊C414yes—
375C4×D4C22⋊C414yes—
376C4×D4C22⋊C414yes—
377C4×D4C22⋊C414yes—
378C4×D4C22⋊C414yes—
379C4×D4C22⋊C414yes—
380C4×D4C22×C418yes—
381C4×D4C22×C418yes—
382#117—24no—
383#117—24no—
384#117—22no—
385#117—22no—
386#117—28no—
387#117—28no—
388#117—28no—
389#117—28no—
390#117—24no—
391#117—24no—
392#117—44no—
393#117C22×C414yes—
394#117C22×C412yes—
395#117C22×C412yes—
396#117C22×C412yes—
397#117C22×C412yes—
398#117C22×C412yes—
399#117C22×C412yes—
400#117C2×D412yes—
401#117C2×D412yes—
402#117C2×D414yes—
403#117C2×D414yes—
404#117C2414yes—
405C2×C4⋊C4—22no—
406C2×C4⋊C4—24no—
407C2×C4⋊C4—22no—
408C2×C4⋊C4—28no—
409C2×C4⋊C4—22no—
410C2×C4⋊C4—24no—
411C2×C4⋊C4—24no—
412C2×C4⋊C4C22×C414yes—
413C2×C4⋊C4C2×D412yes—
414C2×C4⋊C4C2×D412yes—
415C2×C4⋊C4C2×D412yes—
416C2×C22⋊C4—22no—
417C2×C22⋊C4—24no—
418C2×C22⋊C4—28no—
419C2×C22⋊C4—22no—
420C2×C22⋊C4—24no—
421C2×C22⋊C4—24no—
422C2×C22⋊C4C2×D412yes—
423C2×C22⋊C4C2×D412yes—
424C2×C22⋊C4C2×D412yes—
425C2×C42—22no—
426C2×C42—24no—
427C2×C42—24no—
428C2×C42—22no—
429C2×C42—24no—
430C2×C42—44no—
431C2×C42C22×C411yescharacteristic
432C2×C42C22×C411yescharacteristic
433C2×C42C22×C412yes—
434C2×C42C22×C412yes—
435C2×C42C22×C411yescharacteristic
436C2×C42C22×C411yescharacteristic
437C2×C42C22×C412yes—
438C2×C42C22×C412yes—
439C2×C42C2×D412yes—
440C2×C42C2×D412yes—
441C2×C42C2×D412yes—
442C2×C42C2×D412yes—
443C2×C42C2×D412yes—
444C2×C42C2×D414yes—
445C2×C42C2×D414yes—
446C2×C42C2414yes—
447C2×C42C2414yes—
448C2×C42C2411yescharacteristic
449C2×C42C2411yescharacteristic
450C2×C42C2411yescharacteristic
451C2×C42C2411yescharacteristic
452C4⋊C8—24no—
453C4⋊C8—24no—
454C4⋊C8—28no—
455#104—416no—
456#104—416no—
457C22⋊C8—24no—
458C22⋊C8—24no—
459C22⋊C8—28no—
460#97—24no—
461#97—24no—
462C4×C8—24no—
463C4×C8—24no—
464#95—22no—
465#95—22no—
466#95—24no—
467#95—22no—
468#95—22no—
469#95—24no—
470#95—24no—
471#95—24no—
472#95—24no—
473C24—22no—
474C24C22×D411yescharacteristic
475C24C22×D411yescharacteristic
476C24C22×D411yescharacteristic
477#41—216no—
478#41—44no—
479#41—44no—
480#41—42no—
481#41—42no—
482#41—42no—
483#41—42no—
484#41—48no—
485#41—48no—
486#41—48no—
487#41—88no—
488#41—88no—
489C2×Q8—24no—
490C2×Q8—22no—
491C2×Q8—24no—
492C2×Q8—42no—
493C2×Q8—44no—
494C2×Q8—84no—
495C2×Q8C2×C22⋊C412yes—
496C2×Q8C2×C22⋊C412yes—
497C2×Q8C23×C414yes—
498C2×D4—24no—
499C2×D4—24no—
500C2×D4—28no—
501C2×D4—28no—
502C2×D4—24no—
503C2×D4—22no—
504C2×D4—24no—
505C2×D4—44no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—48no—
510C2×D4—84no—
511C2×D4C2×C22⋊C412yes—
512C2×D4C2×C22⋊C412yes—
513C2×D4C2×C22⋊C412yes—
514C2×D4C2×C22⋊C412yes—
515C2×D4C2×C22⋊C412yes—
516C2×D4C2×C22⋊C412yes—
517C2×D4C23×C414yes—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—22no—
522C22×C4—24no—
523C22×C4—24no—
524C22×C4—24no—
525C22×C4—28no—
526C22×C4—28no—
527C22×C4—24no—
528C22×C4—24no—
529C22×C4—48no—
530C22×C4—44no—
531C22×C4—82no—
532C22×C4—82no—
533C22×C4—82no—
534C22×C4—84no—
535C22×C4C2×C22⋊C412yes—
536C22×C4C2×C22⋊C412yes—
537C22×C4C2×C22⋊C412yes—
538C22×C4C2×C22⋊C412yes—
539C22×C4C2×C22⋊C414yes—
540C22×C4C2×C22⋊C414yes—
541C22×C4C2×C22⋊C414yes—
542C22×C4C2×C22⋊C414yes—
543C22×C4C23×C411yescharacteristic
544C22×C4C23×C411yescharacteristic
545C22×C4C23×C412yes—
546C22×C4C23×C412yes—
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D411yescharacteristic
551C22×C4C22×D411yescharacteristic
552C22×C4C22×D412yes—
553C22×C4C22×D412yes—
554C22×C4C22×D412yes—
555C22×C4C22×D412yes—
556C22×C4C22×D412yes—
557C22×C4C22×D412yes—
558C22×C4C2511yescharacteristic
559M16—216no—
560M16—48no—
561C2×C8—28no—
562C2×C8—48no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—28no—
567C4⋊C4—28no—
568C4⋊C4—28no—
569C4⋊C4—24no—
570C4⋊C4—28no—
571C4⋊C4—24no—
572C4⋊C4—28no—
573C4⋊C4—28no—
574C4⋊C4—44no—
575C4⋊C4—84no—
576C4⋊C4—84no—
577C4⋊C4C2×C22⋊C414yes—
578C4⋊C4C2×C22⋊C414yes—
579C4⋊C4C2×C22⋊C414yes—
580C4⋊C4C2×C22⋊C414yes—
581C4⋊C4C2×C22⋊C414yes—
582C4⋊C4C2×C22⋊C414yes—
583C4⋊C4C23×C418yes—
584C22⋊C4—24no—
585C22⋊C4—28no—
586C22⋊C4—28no—
587C22⋊C4—24no—
588C22⋊C4—28no—
589C22⋊C4—28no—
590C22⋊C4—28no—
591C22⋊C4—28no—
592C22⋊C4—28no—
593C22⋊C4—28no—
594C22⋊C4—44no—
595C22⋊C4—84no—
596C22⋊C4—84no—
597C22⋊C4C2×C22⋊C414yes—
598C22⋊C4C2×C22⋊C414yes—
599C22⋊C4C2×C22⋊C414yes—
600C22⋊C4C2×C22⋊C414yes—
601C22⋊C4C2×C22⋊C414yes—
602C22⋊C4C2×C22⋊C414yes—
603C42—28no—
604C42—28no—
605C42—24no—
606C42—24no—
607C42—28no—
608C42—28no—
609C42—44no—
610C42—84no—
611C42C2×C22⋊C414yes—
612C42C2×C22⋊C414yes—
613C42C2×C22⋊C412yes—
614C42C2×C22⋊C412yes—
615C42C2×C22⋊C414yes—
616C42C2×C22⋊C414yes—
617C42C2×C22⋊C412yes—
618C42C2×C22⋊C412yes—
619C42C23×C411yescharacteristic
620C42C23×C411yescharacteristic
621C42C23×C412yes—
622C42C23×C412yes—
623C42C23×C411yescharacteristic
624C42C23×C411yescharacteristic
625C42C22×D412yes—
626C42C22×D412yes—
627C42C22×D412yes—
628C42C22×D412yes—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—24no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—44no—
637C23—84no—
638C23C22×C22⋊C411yescharacteristic
639C23C22×C22⋊C412yes—
640C23C22×C22⋊C412yes—
641C23C22×C22⋊C411yescharacteristic
642C23C23×D411yescharacteristic
643Q8—28no—
644Q8—42no—
645Q8—42no—
646Q8—44no—
647Q8—48no—
648Q8—84no—
649D4—28no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—42no—
654D4—42no—
655D4—42no—
656D4—44no—
657D4—48no—
658D4—48no—
659D4—48no—
660D4—84no—
661D4—88no—
662D4—88no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—24no—
677C2×C4—28no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—48no—
691C2×C4—44no—
692C2×C4—48no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—88no—
700C2×C4—88no—
701C2×C4—84no—
702C2×C4—88no—
703C2×C4C22×C22⋊C411yescharacteristic
704C2×C4C22×C22⋊C414yes—
705C2×C4C22×C22⋊C414yes—
706C2×C4C22×C22⋊C412yes—
707C2×C4C22×C22⋊C412yes—
708C2×C4C22×C22⋊C412yes—
709C2×C4C22×C22⋊C412yes—
710C2×C4C22×C22⋊C411yescharacteristic
711C2×C4C22×C22⋊C412yes—
712C2×C4C22×C22⋊C412yes—
713C2×C4C24×C411yescharacteristic
714C2×C4C23×D411yescharacteristic
715C2×C4#58514yes—
716C8—48no—
717C22—22no—
718C22—22no—
719C22—24no—
720C22—24no—
721C22—22no—
722C22—21no—
723C22—21no—
724C22—22no—
725C22—22no—
726C22—44no—
727C22—48no—
728C22—44no—
729C22—82no—
730C22—82no—
731C22—164no—
732C22C23×C22⋊C411yescharacteristic
733C22#344912yes—
734C4—22no—
735C4—22no—
736C4—24no—
737C4—24no—
738C4—22no—
739C4—22no—
740C4—21no—
741C4—21no—
742C4—22no—
743C4—22no—
744C4—48no—
745C4—44no—
746C4—84no—
747C4—84no—
748C4#342812yes—
749C4#344912yes—
750C2—22no—
751C2—42no—
752C2—41no—
753C2—42no—
754C2—41no—
755C2—84no—
756C2#3404411yescharacteristic
757C2#6009312yes—
subgroupG/H
centerC2×C4C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
socleC22C23×C22⋊C4
prime radical#62815C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #60125C2semidirect
3. #34056C2semidirect
4. #21901C2semidirect
5. #21857C2semidirect
6. #21845C2semidirect
7. #21816C2semidirect
8. #21775C2semidirect
9. #21417C2semidirect
10. #21416C2semidirect
11. #21384C2semidirect
12. #20749C2semidirect
13. #3512C4semidirect
14. #3511C4semidirect
15. #3510C4semidirect
16. #3509C4semidirect
17. #3508C4semidirect
36. #2921C22semidirect
38. #2920C22semidirect
39. C2×#423C22semidirect
41. #2873C22semidirect
47. #2298C22semidirect
49. #2296C22semidirect
51. #2283C22semidirect
52. C4×#117C22semidirect
53. C2×#376C22semidirect
54. #1995C22semidirect
55. #1995C22semidirect
56. #1986C22semidirect
60. #1897C22semidirect
61. #1896C22semidirect
62. #1871C22semidirect
64. #1806C22semidirect
66. #1759C22semidirect
67. C4×#104C22semidirect
96. #542C2×C4semidirect
98. #541C2×C4semidirect
100. #540C2×C4semidirect
115. #533C2×C4semidirect
116. #533C2×C4semidirect
117. #533C2×C4semidirect
124. #532C2×C4semidirect
125. #532C2×C4semidirect
126. #532C2×C4semidirect
129. C2×C4⋊Q8C2×C4semidirect
130. C2×C4⋊Q8C2×C4semidirect
131. C2×#127C2×C4semidirect
139. #529C2×C4semidirect
140. C2×#125C2×C4semidirect
141. C2×#124C2×C4semidirect
150. #520C2×C4semidirect
151. #519C2×C4semidirect
153. #518C2×C4semidirect

Maximal subgroups

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

subgroupindex
#628152
#601252
#340562
#219012
#218572
#218452
#218162
#217752
#214172
#214162
#213842
#207492