Finite Group Databasebeta

← #1409295

Subgroups — #1409295

Order 512.

2992 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2547C211yesmaximal, characteristic, complemented
2C2×#2512C211yesmaximal, characteristic, complemented
3C2×#2662C212yesmaximal, complemented
4#16680C212yesmaximal, complemented
5#16656C212yesmaximal, complemented
6#16534C214yesmaximal, complemented
7#16386C214yesmaximal, complemented
8#15144C211yesmaximal, characteristic, complemented
9#15131C212yesmaximal, complemented
10#15128C211yesmaximal, characteristic, complemented
11#15126C212yesmaximal, complemented
12#15123C211yesmaximal, characteristic
13#14866C212yesmaximal, complemented
14#13998C212yesmaximal, complemented
15#13994C212yesmaximal, complemented
16C4×#394C211yesmaximal, characteristic, complemented
17#13821C211yesmaximal, characteristic, complemented
18C22×C4⋊Q8C2211yescharacteristic
19C22×#126C2212yes—
20C22×#124C2212yes—
21C22×#121C2212yes—
22C22×C4×D4C2211yescharacteristic
23#2662—216no—
24#2547—28no—
25#2512—28no—
26C2×#397C2212yes—
27C2×#397C2214yes—
28C2×#396C2214yes—
29C2×#396C2212yes—
30C2×#395C2212yes—
31C2×#394C2214yes—
32C2×#394C2211yescharacteristic
33C2×#393C2212yes—
34C2×#393C2212yes—
35C2×#392C2212yes—
36C2×#391C2212yes—
37C2×#390C2214yes—
38C2×#390C2211yescharacteristic
39C2×#390C2211yescharacteristic
40C2×#390C2211yescharacteristic
41C2×#390C2212yes—
42C2×#389C2212yes—
43C2×#389C2211yescharacteristic
44C2×#389C2212yes—
45C2×#388C2212yes—
46C2×#388C2214yes—
47C2×#384C2211yescharacteristic
48C2×#380C2212yes—
49C2×#380C2212yes—
50C2×#380C2212yes—
51C2×C4×C4⋊C4C2212yes—
52C2×C4×C4⋊C4C2211yescharacteristic
53C2×C4×C4⋊C4C2212yes—
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4C2212yes—
56C2×C4×C22⋊C4C2212yes—
57#1446C2212yes—
58#1444C2212yes—
59#1442C2214yes—
60#1442C2211yescharacteristic
61#1441C2214yes—
62#1441C2211yescharacteristic
63#1441C2214yes—
64#1441C2212yes—
65#1440C2212yes—
66#1440C2214yes—
67#1440C2214yes—
68#1439C2214yes—
69#1439C2214yes—
70#1439C2214yes—
71#1439C2212yes—
72#1439C2214yes—
73#1439C2212yes—
74#1438C2214yes—
75#1438C2214yes—
76#1438C2211yescharacteristic
77#1438C2214yes—
78#1437C2214yes—
79#1436C2214yes—
80C4⋊#95C2211yescharacteristic
81C4⋊#95C2212yes—
82C4⋊#95C2212yes—
83#1434C2214yes—
84#1434C2212yes—
85C4×#95C2211yescharacteristic
86C23×Q8C2312yes—
87C23×D4C2311yescharacteristic
88C23×D4C2314yes—
89C23×D4C2311yescharacteristic
90C24×C4C2312yes—
91C2×C4⋊Q8—24no—
92C2×C4⋊Q8—44no—
93C2×#126—28no—
94C2×#126—28no—
95C2×#126—44no—
96C2×#124—28no—
97C2×#124—28no—
98C2×#124—44no—
99C2×#121—28no—
100C2×#121—44no—
101C2×#121—44no—
102C2×C4×D4—24no—
103C2×C4×D4—44no—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2311yescharacteristic
106C22×C4⋊C4C2314yes—
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2314yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2311yescharacteristic
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C42C2312yes—
136C22×C42C2311yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2312yes—
140C22×C42C2314yes—
141#397—28no—
142#397—216no—
143#396—216no—
144#396—28no—
145#395—28no—
146#394—216no—
147#394D418yescomplemented
148#393—28no—
149#393—44no—
150#392—28no—
151#391—28no—
152#390—24no—
153#390—24no—
154#390—216no—
155#390—24no—
156#390—44no—
157#389—24no—
158#389—28no—
159#389—44no—
160#388—216no—
161#388—28no—
162#384—24no—
163#380—28no—
164#380—28no—
165#380—28no—
166C4×C4⋊C4—24no—
167C4×C4⋊C4—28no—
168C4×C4⋊C4—44no—
169C4×C4⋊C4D418yescomplemented
170C4×C22⋊C4—44no—
171C4×C22⋊C4—44no—
172C2×#95C2312yes—
173C2×#95C2311yescharacteristic
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2311yescharacteristic
177C2×#95C2312yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2311yescharacteristic
183C2×#95C2314yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2314yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2311yescharacteristic
194C2×#95C2312yes—
195C25C2412yes—
196C25C2412yes—
197C22×Q8—24no—
198C22×Q8—24no—
199C22×Q8—24no—
200C22×Q8—44no—
201C22×Q8—44no—
202C22×D4—28no—
203C22×D4—22no—
204C22×D4—22no—
205C22×D4—24no—
206C22×D4—28no—
207C22×D4—22no—
208C22×D4—22no—
209C22×D4—24no—
210C22×D4—22no—
211C22×D4—42no—
212C22×D4—42no—
213C22×D4—44no—
214C22×D4—44no—
215C22×D4—44no—
216C22×D4—44no—
217C22×D4—44no—
218C22×D4C2×D414yes—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4C2412yes—
227C23×C4C2414yes—
228C23×C4C2411yescharacteristic
229C23×C4C2412yes—
230C23×C4C2412yes—
231C23×C4C2411yescharacteristic
232C23×C4C2412yes—
233C23×C4C2411yescharacteristic
234C23×C4C2411yescharacteristic
235C23×C4C2412yes—
236C23×C4C2412yes—
237C23×C4C2414yes—
238C23×C4C2411yescharacteristic
239C23×C4C2411yescharacteristic
240C23×C4C2411yescharacteristic
241C4⋊Q8—416no—
242#126—432no—
243#124—432no—
244#121—432no—
245C4×D4—416no—
246C2×C4⋊C4—22no—
247C2×C4⋊C4—24no—
248C2×C4⋊C4—24no—
249C2×C4⋊C4—24no—
250C2×C4⋊C4—22no—
251C2×C4⋊C4—22no—
252C2×C4⋊C4—22no—
253C2×C4⋊C4—22no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—24no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—28no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—28no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—28no—
270C2×C4⋊C4—41no—
271C2×C4⋊C4—44no—
272C2×C4⋊C4—42no—
273C2×C4⋊C4—42no—
274C2×C4⋊C4—42no—
275C2×C4⋊C4—44no—
276C2×C4⋊C4—44no—
277C2×C4⋊C4—44no—
278C2×C4⋊C4—44no—
279C2×C4⋊C4C2×D414yes—
280C2×C4⋊C4C2×D414yes—
281C2×C4⋊C4C2×D414yes—
282C2×C4⋊C4#4118yes—
283C2×C22⋊C4—28no—
284C2×C22⋊C4—28no—
285C2×C22⋊C4—28no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—28no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—28no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—42no—
305C2×C22⋊C4—42no—
306C2×C22⋊C4—42no—
307C2×C22⋊C4—44no—
308C2×C22⋊C4—42no—
309C2×C22⋊C4—42no—
310C2×C22⋊C4—42no—
311C2×C22⋊C4—42no—
312C2×C22⋊C4—42no—
313C2×C22⋊C4—44no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—42no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—42no—
320C2×C22⋊C4—42no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4—42no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4C2×D418yes—
331C2×C22⋊C4C2×D418yes—
332C2×C42—24no—
333C2×C42—24no—
334C2×C42—24no—
335C2×C42—22no—
336C2×C42—22no—
337C2×C42—24no—
338C2×C42—22no—
339C2×C42—24no—
340C2×C42—24no—
341C2×C42—24no—
342C2×C42—22no—
343C2×C42—28no—
344C2×C42—44no—
345C2×C42—44no—
346C2×C42C2×D414yes—
347C2×C42C2×D418yes—
348#95—22no—
349#95—24no—
350#95—22no—
351#95—28no—
352#95—28no—
353#95—24no—
354#95—28no—
355#95—28no—
356#95—28no—
357#95—28no—
358#95—22no—
359#95—42no—
360#95—42no—
361#95—44no—
362#95—42no—
363#95—42no—
364#95—42no—
365#95—42no—
366#95—44no—
367#95—44no—
368#95—44no—
369#95C2×D414yes—
370#95C2×D418yes—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—24no—
388C24—22no—
389C24—24no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—24no—
394C24—24no—
395C24—22no—
396C24C22×D414yes—
397C24C2511yescharacteristic
398C2×Q8—48no—
399C2×Q8—48no—
400C2×Q8—48no—
401C2×Q8—88no—
402C2×Q8—88no—
403C2×D4—28no—
404C2×D4—48no—
405C2×D4—44no—
406C2×D4—44no—
407C2×D4—48no—
408C2×D4—416no—
409C2×D4—416no—
410C2×D4—44no—
411C2×D4—44no—
412C2×D4—44no—
413C2×D4—48no—
414C2×D4—48no—
415C2×D4—88no—
416C2×D4—88no—
417C2×D4—88no—
418C2×D4—88no—
419C2×D4—88no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—24no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—21no—
428C22×C4—24no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—21no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—24no—
437C22×C4—24no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—24no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—21no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—48no—
494C22×C4—48no—
495C22×C4—48no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4C22×D412yes—
501C22×C4C22×D414yes—
502C22×C4C22×D414yes—
503C22×C4C22×D414yes—
504C22×C4C22×D412yes—
505C22×C4C22×D412yes—
506C22×C4C22×D412yes—
507C22×C4C22×D412yes—
508C22×C4C22×D412yes—
509C22×C4C2×#4118yes—
510C22×C4C2×#4114yes—
511C22×C4H(5,𝔽2)12yes—
512C22×C4H(5,𝔽2)14yes—
513C22×C4H(5,𝔽2)12yes—
514C22×C42−1+412yes—
515C22×C42−1+412yes—
516C4⋊C4—28no—
517C4⋊C4—28no—
518C4⋊C4—216no—
519C4⋊C4—28no—
520C4⋊C4—416no—
521C4⋊C4—44no—
522C4⋊C4—48no—
523C4⋊C4—48no—
524C4⋊C4—44no—
525C4⋊C4—48no—
526C4⋊C4—44no—
527C4⋊C4—48no—
528C4⋊C4—88no—
529C4⋊C4—84no—
530C22⋊C4—48no—
531C22⋊C4—48no—
532C22⋊C4—48no—
533C22⋊C4—48no—
534C22⋊C4—48no—
535C22⋊C4—416no—
536C22⋊C4—416no—
537C22⋊C4—416no—
538C22⋊C4—48no—
539C22⋊C4—48no—
540C22⋊C4—416no—
541C22⋊C4—48no—
542C22⋊C4—48no—
543C22⋊C4—88no—
544C22⋊C4—84no—
545C22⋊C4—84no—
546C22⋊C4—88no—
547C42—28no—
548C42—216no—
549C42—44no—
550C42—44no—
551C42—48no—
552C42—88no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—44no—
592C23—44no—
593C23—42no—
594C23—44no—
595C23—42no—
596C23—42no—
597C23—44no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—42no—
608C23—42no—
609C23—44no—
610C23—44no—
611C23C23×D411yescharacteristic
612C23C23×D411yescharacteristic
613C23C22×#4112yes—
614C23C2×H(5,𝔽2)12yes—
615C23C2×H(5,𝔽2)11yescharacteristic
616C23C2×H(5,𝔽2)11yescharacteristic
617C23C2×2−1+411yescharacteristic
618C23C2×2−1+411yescharacteristic
619C23#58512yes—
620C23#58512yes—
621C23#58511yescharacteristic
622Q8—816no—
623D4—416no—
624D4—832no—
625D4—88no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—28no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—28no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—28no—
651C2×C4—24no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—44no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—44no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—41no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—41no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—41no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—816no—
710C2×C4#53214yes—
711C2×C4#53514yes—
712C2×C4#53714yes—
713C2×C4#53818yes—
714C2×C4#54218yes—
715C2×C4D4214yes—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—44no—
720C22—44no—
721C22—44no—
722C22—44no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—84no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—84no—
740C22—84no—
741C22—84no—
742C22C2×#53211yescharacteristic
743C22C2×#53511yescharacteristic
744C22C2×#53711yescharacteristic
745C22C2×#53812yes—
746C22C2×#54212yes—
747C22C2×D4211yescharacteristic
748C22D4×#4112yes—
749C22#348711yescharacteristic
750C22#348911yescharacteristic
751C22#349612yes—
752C22#349611yescharacteristic
753C22#349911yescharacteristic
754C22#350011yescharacteristic
755C22#351712yes—
756C22#351812yes—
757C22#352112yes—
758C22#354012yes—
759C22#354112yes—
760C22#354212yes—
761C22#354711yescharacteristic
762C22#354811yescharacteristic
763C22#355112yes—
764C22#356512yes—
765C4—24no—
766C4—44no—
767C4—42no—
768C4—42no—
769C4—42no—
770C4—44no—
771C4—42no—
772C4—44no—
773C4—48no—
774C4—82no—
775C4—82no—
776C4—81no—
777C4—82no—
778C4—84no—
779C4#266218yescomplemented
780C2—84no—
781C2—162no—
782C2C2×#266211yescharacteristic
783C2#3604811yescharacteristic
784C2#3612511yescharacteristic
785C2#3933911yescharacteristic
786C2#3934011yescharacteristic
787C2#3940312yes—
788C2#3940812yes—
789C2#4274012yes—
790C2#4288211yescharacteristic
791C2#4289412yes—
792C2#4291011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radical#15123C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2547C2semidirect
2. C2×#2512C2semidirect
3. C2×#2662C2semidirect
4. #16680C2semidirect
5. #16656C2semidirect
6. #16534C2semidirect
7. #16386C2semidirect
8. #15144C2semidirect
9. #15131C2semidirect
10. #15128C2semidirect
11. #15126C2semidirect
13. #14866C2semidirect
14. #13998C2semidirect
15. #13994C2semidirect
16. C4×#394C2semidirect
17. #13821C2semidirect
147. #394D4semidirect
169. C4×C4⋊C4D4semidirect
779. C4#2662semidirect

Maximal subgroups

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

subgroupindex
C2×#25472
C2×#25122
C2×#26622
#166802
#166562
#165342
#163862
#151442
#151312
#151282
#151262
#151232
#148662
#139982
#139942
C4×#3942
#138212