Finite Group Databasebeta

← #6469127

Subgroups — #6469127

Order 512.

2078 conjugacy classes of subgroups.

The subgroup lattice has 795 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36631C211yesmaximal, characteristic, complemented
2C4×#532C211yesmaximal, characteristic, complemented
3#29429C214yesmaximal, complemented
4#29346C211yesmaximal, characteristic, complemented
5#29313C211yesmaximal, characteristic, complemented
6#29121C211yesmaximal, characteristic, complemented
7#28369C211yesmaximal, characteristic, complemented
8#27862C212yesmaximal, complemented
9#25502C212yesmaximal, complemented
10#24844C212yesmaximal, complemented
11#24758C212yesmaximal, complemented
12#23781C212yesmaximal, complemented
13#23682C212yesmaximal, complemented
14#21613C212yesmaximal, complemented
15#21538C214yesmaximal, complemented
16#21503C212yesmaximal, complemented
17C4×#423C211yesmaximal, characteristic, complemented
18C2×#532C2211yescharacteristic
19C2×#529—21no—
20C2×C4×#41—21no—
21C2×#474C2212yes—
22C2×#469C2214yes—
23C2×#459C2212yes—
24C2×#442C2214yes—
25C2×#423C2212yes—
26C2×C4×M16C2212yes—
27#2861—21no—
28#2860—21no—
29#2860C2212yes—
30#2859C2211yescharacteristic
31#2858C2211yescharacteristic
32#2857C2211yescharacteristic
33#2856C2211yescharacteristic
34#2854—21no—
35#2854C2212yes—
36#2850—21no—
37C4×C4⋊Q8C2211yescharacteristic
38C4×C4⋊Q8C2211yescharacteristic
39C4×C4⋊Q8C2211yescharacteristic
40C4×#127C2211yescharacteristic
41C4×#127C2211yescharacteristic
42C4×#127C2211yescharacteristic
43C4×#124—21no—
44C4×#124—21no—
45C4×#124—21no—
46C4×#121—21no—
47C4×#121—21no—
48C4×#121—21no—
49C4×#121C2212yes—
50C4×#121C2212yes—
51C4×#121C2212yes—
52#2297—21no—
53#2293—21no—
54#2293—21no—
55#2293C2212yes—
56#2293C2212yes—
57#2285C2211yescharacteristic
58C42×D4—21no—
59C42×D4C2212yes—
60C2×C43C2211yescharacteristic
61#2099C2212yes—
62#2093C2212yes—
63#2087C2214yes—
64#2084C2212yes—
65#2071C2212yes—
66#2065C2214yes—
67#2065C2214yes—
68#2058C2212yes—
69#2054C2214yes—
70#2041C2212yes—
71#2023C2212yes—
72#2011C2212yes—
73#1988C2212yes—
74#1982C2212yes—
75#1970C2214yes—
76#1948C2212yes—
77#1948C2212yes—
78#1941C2214yes—
79#1934C2214yes—
80#1934C2214yes—
81#1926C2214yes—
82#1921C2214yes—
83#1895C2214yes—
84#1895C2214yes—
85#1879C2214yes—
86#1864C2214yes—
87#1809C2214yes—
88#1802C2212yes—
89#1802C2212yes—
90#1776C2214yes—
91#1767C2212yes—
92#1767C2212yes—
93C4×C4⋊C8C2211yescharacteristic
94C4×C4⋊C8C2211yescharacteristic
95C4×C4⋊C8C2212yes—
96#1762C2214yes—
97#1762C2214yes—
98#1728C2212yes—
99C22×#41—21no—
100C22×D8C2314yes—
101C22×M16C2314yes—
102#532—28no—
103C2×C4⋊Q8C2311yescharacteristic
104C2×C4⋊Q8C2311yescharacteristic
105C2×#127C2311yescharacteristic
106C2×#127C2311yescharacteristic
107#529—48no—
108C2×#126—22no—
109C2×#125—21no—
110C2×#124—21no—
111C2×#124—21no—
112C2×#124—21no—
113C2×#123—22no—
114C2×C22⋊Q8—21no—
115C2×#121—21no—
116C2×#121—21no—
117C2×#121—21no—
118C2×#121C2312yes—
119C2×#121C2312yes—
120C4×#41—48no—
121C2×C4×Q8—21no—
122C2×C4×Q8—21no—
123C2×C4×Q8—21no—
124C2×C4×D4—22no—
125C2×C4×D4—22no—
126C2×C4×D4—22no—
127C2×C4×D4—21no—
128C2×C4×D4—21no—
129C2×C4×D4—21no—
130C2×C4×D4—21no—
131C2×C4×D4—21no—
132C2×C4×D4—21no—
133C2×C4×D4—21no—
134C2×C4×D4C2312yes—
135C2×C4×D4C2312yes—
136C2×C4×D4C2312yes—
137C2×C4×D4C2312yes—
138C2×#117—21no—
139C2×#117—22no—
140C2×#117—22no—
141C22×C42—22no—
142C22×C42D411yescharacteristic
143C22×C42D411yescharacteristic
144C22×C42D411yescharacteristic
145C22×C42D411yescharacteristic
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#474—28no—
150#469—216no—
151#459—28no—
152#442—48no—
153C2×#107C2314yes—
154C2×#106C2314yes—
155C2×#106C2314yes—
156#423—28no—
157C2×C4⋊C8C2314yes—
158C2×C4⋊C8C2312yes—
159C2×C4⋊C8C2312yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C4×M16—44no—
167C2×#97C2314yes—
168C2×C4×C8C2312yes—
169C2×C4×C8C2312yes—
170#391—21no—
171#391—21no—
172#391—21no—
173#391—21no—
174#390—21no—
175#390—21no—
176#390—21no—
177#390—21no—
178#390—21no—
179#390—21no—
180#390—21no—
181#390—21no—
182#390—21no—
183#390—21no—
184#390C2312yes—
185#390C2312yes—
186#390C2312yes—
187#390C2312yes—
188#390C2312yes—
189#390C2312yes—
190#389—21no—
191#389—21no—
192#389—21no—
193#389—21no—
194#389—21no—
195#389—21no—
196#389C2312yes—
197#389C2312yes—
198#389C2312yes—
199#389C2312yes—
200#389C2312yes—
201#389C2312yes—
202#388—22no—
203#388—22no—
204#388—22no—
205#388—22no—
206#388—22no—
207#388—22no—
208#388—22no—
209#388—22no—
210#388—22no—
211#388—22no—
212#388—22no—
213#388—22no—
214#386—22no—
215#386—22no—
216#386—22no—
217#386—22no—
218#384C2311yescharacteristic
219#384C2311yescharacteristic
220#384C2311yescharacteristic
221#384C2311yescharacteristic
222#382—21no—
223#382—21no—
224#380—21no—
225#380—21no—
226#380C2312yes—
227#380C2312yes—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—21no—
232C4×C4⋊C4C2312yes—
233C4×C4⋊C4C2312yes—
234C4×C4⋊C4C2312yes—
235C4×C4⋊C4C2312yes—
236C4×C22⋊C4—22no—
237C4×C22⋊C4—22no—
238C4×C22⋊C4—22no—
239C4×C22⋊C4—22no—
240C4×C22⋊C4—22no—
241C4×C22⋊C4—22no—
242C4×C22⋊C4—22no—
243C4×C22⋊C4—22no—
244C43D411yescharacteristic
245C43D411yescharacteristic
246C43D411yescharacteristic
247C43D411yescharacteristic
248C43C2311yescharacteristic
249C43C2311yescharacteristic
250C43C2311yescharacteristic
251C43C2311yescharacteristic
252#340C2314yes—
253#340C2314yes—
254#340C2314yes—
255#340C2314yes—
256#340C2314yes—
257#340C2314yes—
258#336C2312yes—
259#336C2312yes—
260#336C2314yes—
261C2×#41—28no—
262C2×#41—44no—
263C2×#41—44no—
264C22×Q8—21no—
265C22×Q8—21no—
266C22×D4—22no—
267C22×D4—22no—
268C22×D4—21no—
269C22×D4—21no—
270C22×D4—21no—
271C22×D4—21no—
272C22×D4C2412yes—
273C22×D4C2412yes—
274C23×C4—22no—
275C23×C4—22no—
276C23×C4—22no—
277C23×C4—22no—
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2411yescharacteristic
285C2×D8—28no—
286C2×D8—28no—
287C2×D8—44no—
288C2×M16—28no—
289C2×M16—28no—
290C2×M16—44no—
291C22×C8C2414yes—
292C22×C8C2414yes—
293C4⋊Q8—24no—
294C4⋊Q8—24no—
295#127—24no—
296#127—24no—
297#126—48no—
298#125—44no—
299#124—28no—
300#124—44no—
301#124—44no—
302#123—48no—
303C22⋊Q8—44no—
304#121—28no—
305#121—24no—
306#121—28no—
307#121—44no—
308#121—44no—
309#121#4118yes—
310C4×Q8—44no—
311C4×Q8—44no—
312C4×Q8—44no—
313C4×D4—28no—
314C4×D4—24no—
315C4×D4—24no—
316C4×D4—24no—
317C4×D4—24no—
318C4×D4—24no—
319C4×D4—24no—
320C4×D4—24no—
321C4×D4—24no—
322C4×D4—44no—
323C4×D4—44no—
324C4×D4—44no—
325C4×D4—44no—
326C4×D4—48no—
327C4×D4—48no—
328C4×D4—48no—
329C4×D4—44no—
330C4×D4—44no—
331#117—48no—
332#117—48no—
333#117—44no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C42—24no—
377C2×C42—24no—
378C2×C42—24no—
379C2×C42—24no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—22no—
386C2×C42—42no—
387C2×C42—42no—
388C2×C42—48no—
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416C2×C42C2411yescharacteristic
417#107—28no—
418#106—28no—
419#106—44no—
420C4⋊C8—28no—
421C4⋊C8—24no—
422C4⋊C8#4118yescomplemented
423#102—28no—
424#102—28no—
425#102—28no—
426#102—28no—
427#102—44no—
428#102—44no—
429#97—28no—
430C4×C8—42no—
431C4×C8—42no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444C24—22no—
445C24—22no—
446C24C22×D411yescharacteristic
447#41—432no—
448C2×Q8—24no—
449C2×Q8—42no—
450C2×Q8—42no—
451C2×Q8—42no—
452C2×Q8—42no—
453C2×Q8—42no—
454C2×D4—24no—
455C2×D4—24no—
456C2×D4—28no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—24no—
461C2×D4—24no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—42no—
467C2×D4—42no—
468C2×D4—42no—
469C2×D4—42no—
470C2×D4—44no—
471C2×D4—44no—
472C2×D4—44no—
473C2×D4—44no—
474C2×D4—44no—
475C2×D4—42no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4—42no—
480C2×D4—42no—
481C2×D4C2×#4114yes—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—28no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C2×#4114yes—
535C22×C4C2511yescharacteristic
536D8—416no—
537M16—416no—
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8C2×#4118yes—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—44no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—44no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—44no—
568C4⋊C4—42no—
569C4⋊C4C2×#4114yes—
570C22⋊C4—28no—
571C22⋊C4—28no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—21no—
610C42—21no—
611C42—41no—
612C42—41no—
613C42—41no—
614C42—41no—
615C42—44no—
616C42—44no—
617C42—44no—
618C42—44no—
619C42AGL(1,ℤ/8)14yes—
620C42AGL(1,ℤ/8)14yes—
621C42C2×#4114yes—
622C42H(5,𝔽2)12yes—
623C422−1+412yes—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—24no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23#52512yes—
645C23C23×D411yescharacteristic
646Q8—48no—
647Q8—84no—
648D4—24no—
649D4—24no—
650D4—48no—
651D4—48no—
652D4—416no—
653D4—42no—
654D4—44no—
655D4—42no—
656D4—44no—
657D4—84no—
658D4—88no—
659D4—84no—
660C2×C4—28no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—21no—
684C2×C4—24no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—416no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—88no—
714C2×C4—88no—
715C2×C4—88no—
716C2×C4#52512yes—
717C2×C4#53212yes—
718C2×C4#53212yes—
719C2×C4#53712yes—
720C2×C4#53712yes—
721C2×C4C2×AGL(1,ℤ/8)12yes—
722C2×C4C2×AGL(1,ℤ/8)12yes—
723C2×C4C2×AGL(1,ℤ/8)12yes—
724C2×C4C2×AGL(1,ℤ/8)12yes—
725C2×C4C2×AGL(1,ℤ/8)12yes—
726C2×C4C2×AGL(1,ℤ/8)12yes—
727C2×C4#57512yes—
728C2×C4#57512yes—
729C2×C4C22×#4112yes—
730C2×C4C22×#4112yes—
731C2×C4C2×H(5,𝔽2)11yescharacteristic
732C2×C4C2×2−1+411yescharacteristic
733C8—28no—
734C8—44no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22C2×#52511yescharacteristic
757C22C2×#53211yescharacteristic
758C22C2×#53711yescharacteristic
759C22C22×AGL(1,ℤ/8)11yescharacteristic
760C22C22×AGL(1,ℤ/8)11yescharacteristic
761C22C2×#57511yescharacteristic
762C22C2×#57511yescharacteristic
763C4—22no—
764C4—22no—
765C4—22no—
766C4—22no—
767C4—22no—
768C4—22no—
769C4—22no—
770C4—22no—
771C4—22no—
772C4—22no—
773C4—41no—
774C4—44no—
775C4—41no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4#318414yes—
782C4#348112yes—
783C4#348212yes—
784C2—42no—
785C2—84no—
786C2—162no—
787C2#3496411yescharacteristic
788C2#6055811yescharacteristic
789C2#6056111yescharacteristic
790C2C2×#318411yescharacteristic
791C2#6070211yescharacteristic
792C2#6091611yescharacteristic
793C2#6091611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36631C2semidirect
2. C4×#532C2semidirect
3. #29429C2semidirect
4. #29346C2semidirect
5. #29313C2semidirect
6. #29121C2semidirect
7. #28369C2semidirect
8. #27862C2semidirect
9. #25502C2semidirect
10. #24844C2semidirect
11. #24758C2semidirect
12. #23781C2semidirect
13. #23682C2semidirect
14. #21613C2semidirect
15. #21538C2semidirect
16. #21503C2semidirect
17. C4×#423C2semidirect
422. C4⋊C8#41semidirect

Maximal subgroups

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

subgroupindex
#366312
C4×#5322
#294292
#293462
#293132
#291212
#283692
#278622
#255022
#248442
#247582
#237812
#236822
#216132
#215382
#215032
C4×#4232