Finite Group Databasebeta

← #4456948

Subgroups — #4456948

Order 512.

3618 conjugacy classes of subgroups.

The subgroup lattice has 813 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2441C211yesmaximal, characteristic, complemented
2C2×#2309C211yesmaximal, characteristic
3#17071C212yesmaximal, complemented
4#17026C212yesmaximal, complemented
5#17007C212yesmaximal, complemented
6#16822C212yesmaximal, complemented
7#16298C214yesmaximal, complemented
8#16298C214yesmaximal, complemented
9#15229C212yesmaximal, complemented
10#15148C212yesmaximal, complemented
11#15141C212yesmaximal, complemented
12#15134C212yesmaximal, complemented
13#14264C211yesmaximal, characteristic, complemented
14#13951C211yesmaximal, characteristic, complemented
15#13902C211yesmaximal, characteristic
16#13902C211yesmaximal, characteristic
17#13844C211yesmaximal, characteristic, complemented
18C24×D4C2211yescharacteristic
19C22×#125C2211yescharacteristic, complemented
20C22×#117C2211yescharacteristic
21C22×#117C2211yescharacteristic
22#2441—28no—
23C2×#399C2212yes—
24C2×#399C2214yescomplemented
25C2×#396C2212yes—
26C2×#396C2214yescomplemented
27C2×#396C2214yescomplemented
28C2×#396C2214yescomplemented
29#2309—28no—
30C2×#390C2212yes—
31C2×#390C2212yes—
32C2×#390C2212yes—
33C2×#390C2212yes—
34C2×#390C2212yes—
35C2×#390C2212yes—
36C2×#390C2212yes—
37C2×#390C2212yes—
38C2×#389C2211yescharacteristic, complemented
39C2×#389C2211yescharacteristic, complemented
40C2×#389C2212yescomplemented
41C2×#389C2212yescomplemented
42C2×#389C2212yescomplemented
43C2×#387C2212yescomplemented
44C2×#384C2211yescharacteristic, complemented
45C2×#380C2211yescharacteristic
46C2×#380C2211yescharacteristic
47C2×#379C2214yes—
48C2×#379C2212yes—
49C2×#379C2212yes—
50C2×#379C2214yes—
51C2×C4×C4⋊C4C2212yescomplemented
52C2×C4×C22⋊C4C2211yescharacteristic
53C2×C4×C22⋊C4C2211yescharacteristic
54#1444C2211yescharacteristic, complemented
55#1444C2211yescharacteristic, complemented
56#1444C2212yescomplemented
57#1442C2211yescharacteristic, complemented
58#1442C2211yescharacteristic, complemented
59#1442C2212yescomplemented
60#1439C2212yes—
61#1439C2212yes—
62#1439C2214yes—
63#1439C2214yes—
64#1439C2214yescomplemented
65#1439C2214yescomplemented
66#1439C2214yescomplemented
67#1439C2214yescomplemented
68#1439C2214yescomplemented
69#1439C2214yescomplemented
70#1439C2214yescomplemented
71#1439C2214yescomplemented
72#1439C2214yescomplemented
73#1439C2214yescomplemented
74#1439C2214yescomplemented
75#1439C2214yescomplemented
76#1438C2212yes—
77#1438C2212yes—
78#1438C2212yes—
79#1438C2212yes—
80C4⋊#95C2212yescomplemented
81C4⋊#95C2212yescomplemented
82C4⋊#95C2212yescomplemented
83#1434C2212yescomplemented
84C4×#95C2212yescomplemented
85C26C2312yes—
86C23×D4—24no—
87C23×D4—24no—
88C23×D4—44no—
89C23×D4—44no—
90C23×D4Q818yes—
91C23×D4C2312yes—
92C23×D4C2312yes—
93C24×C4C2311yescharacteristic
94C2×#125—24no—
95C2×#125—44no—
96C2×#117—24no—
97C2×#117—44no—
98C2×#117—44no—
99C2×#117D418yes—
100C22×C4⋊C4C2311yescharacteristic
101C22×C4⋊C4C2312yes—
102C22×C4⋊C4C2311yescharacteristic
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2311yescharacteristic
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2314yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2314yes—
117C22×C22⋊C4C2311yescharacteristic
118C22×C22⋊C4C2311yescharacteristic
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2314yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2312yes—
136C22×C42C2312yes—
137C22×C42C2311yescharacteristic
138C22×C42C2312yes—
139C22×C42C2311yescharacteristic
140C22×C42C2312yes—
141#399—28no—
142#399—48no—
143#396—28no—
144#396—48no—
145#396—48no—
146#396—48no—
147#390—28no—
148#390—28no—
149#390—28no—
150#390—28no—
151#390—44no—
152#390—44no—
153#390—44no—
154#390—44no—
155#389—24no—
156#389—24no—
157#389—28no—
158#389—44no—
159#389—44no—
160#387—28no—
161#384—24no—
162#380—24no—
163#380—24no—
164#379—216no—
165#379—48no—
166#379—44no—
167#379—44no—
168C4×C4⋊C4—44no—
169C4×C22⋊C4—24no—
170C4×C22⋊C4—24no—
171C2×#95C2312yes—
172C2×#95C2312yes—
173C2×#95C2312yes—
174C2×#95C2311yescharacteristic
175C2×#95C2312yes—
176C2×#95C2311yescharacteristic
177C2×#95C2311yescharacteristic
178C2×#95C2311yescharacteristic
179C2×#95C2312yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2312yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2314yes—
191C25—24no—
192C25—24no—
193C25—44no—
194C25—44no—
195C25—42no—
196C25—42no—
197C25—44no—
198C25—42no—
199C25—42no—
200C25—44no—
201C25C2×Q818yes—
202C25C2414yes—
203C25C2411yescharacteristic
204C22×D4—232no—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—432no—
214C22×D4—44no—
215C22×D4—44no—
216C22×D4—416no—
217C22×D4—416no—
218C22×D4—432no—
219C22×D4C2×Q818yes—
220C22×D4C2×Q818yes—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4C2×D414yes—
224C23×C4C2×Q814yes—
225C23×C4#4114yes—
226C23×C4C2412yes—
227C23×C4C2412yes—
228C23×C4C2411yescharacteristic
229C23×C4C2412yes—
230C23×C4C2414yes—
231C23×C4C2411yescharacteristic
232C23×C4C2412yes—
233C23×C4C2412yes—
234C23×C4C2412yes—
235C23×C4C2412yes—
236C23×C4C2411yescharacteristic
237C23×C4C2411yescharacteristic
238C23×C4C2412yes—
239C23×C4C2411yescharacteristic
240C23×C4C2411yescharacteristic
241#125—416no—
242#117—416no—
243#117—416no—
244C2×C4⋊C4—24no—
245C2×C4⋊C4—24no—
246C2×C4⋊C4—22no—
247C2×C4⋊C4—22no—
248C2×C4⋊C4—22no—
249C2×C4⋊C4—24no—
250C2×C4⋊C4—24no—
251C2×C4⋊C4—22no—
252C2×C4⋊C4—24no—
253C2×C4⋊C4—24no—
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—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—28no—
267C2×C4⋊C4—42no—
268C2×C4⋊C4—42no—
269C2×C4⋊C4—42no—
270C2×C4⋊C4—42no—
271C2×C4⋊C4—42no—
272C2×C4⋊C4—44no—
273C2×C4⋊C4—44no—
274C2×C4⋊C4—42no—
275C2×C4⋊C4—42no—
276C2×C4⋊C4—44no—
277C2×C4⋊C4—44no—
278C2×C4⋊C4—44no—
279C2×C4⋊C4—44no—
280C2×C4⋊C4—44no—
281C2×C4⋊C4—44no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4C2×D414yes—
284C2×C4⋊C4C2×D414yes—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—22no—
287C2×C22⋊C4—22no—
288C2×C22⋊C4—24no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—22no—
291C2×C22⋊C4—22no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—28no—
296C2×C22⋊C4—28no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—28no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—42no—
303C2×C22⋊C4—41no—
304C2×C22⋊C4—41no—
305C2×C22⋊C4—44no—
306C2×C22⋊C4—42no—
307C2×C22⋊C4—42no—
308C2×C22⋊C4—44no—
309C2×C22⋊C4—44no—
310C2×C22⋊C4—44no—
311C2×C22⋊C4—44no—
312C2×C22⋊C4—44no—
313C2×C22⋊C4—44no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—42no—
317C2×C22⋊C4—42no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
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⋊C4—44no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4C2×D418yes—
340C2×C42—24no—
341C2×C42—22no—
342C2×C42—22no—
343C2×C42—24no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—24no—
348C2×C42—24no—
349C2×C42—24no—
350C2×C42—44no—
351C2×C42C2×D418yes—
352#95—22no—
353#95—22no—
354#95—24no—
355#95—24no—
356#95—24no—
357#95—22no—
358#95—22no—
359#95—24no—
360#95—24no—
361#95—44no—
362#95—42no—
363#95—42no—
364#95—42no—
365#95—42no—
366#95—42no—
367#95—44no—
368#95—44no—
369#95—44no—
370#95—44no—
371#95—44no—
372C24—21no—
373C24—21no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—21no—
378C24—21no—
379C24—22no—
380C24—24no—
381C24—24no—
382C24—24no—
383C24—24no—
384C24—24no—
385C24—24no—
386C24—24no—
387C24—24no—
388C24—24no—
389C24—24no—
390C24—24no—
391C24—24no—
392C24—24no—
393C24—24no—
394C24—216no—
395C24—416no—
396C24—48no—
397C24—48no—
398C24—416no—
399C24—48no—
400C24—48no—
401C24—416no—
402C24—84no—
403C24—84no—
404C24—88no—
405C24—84no—
406C24—84no—
407C24—84no—
408C24—84no—
409C24—88no—
410C24—88no—
411C24—88no—
412C24—88no—
413C24—88no—
414C24—88no—
415C24—88no—
416C24—88no—
417C24C22×D412yes—
418C24C22×Q818yes—
419C24C22×Q812yes—
420C24C2×#4112yes—
421C24C2511yescharacteristic
422C2×D4—216no—
423C2×D4—216no—
424C2×D4—216no—
425C2×D4—216no—
426C2×D4—416no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—416no—
430C2×D4—4128no—
431C2×D4—48no—
432C2×D4—48no—
433C2×D4—48no—
434C2×D4—48no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—28no—
438C22×C4—28no—
439C22×C4—216no—
440C22×C4—216no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—24no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—24no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4C22⋊Q8116yes—
512C22×C4C22×D414yes—
513C22×C4C22×D414yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×Q812yes—
517C22×C4C22×Q812yes—
518C22×C4C2×#4112yes—
519C22×C4C2×#4112yes—
520C22×C4H(5,𝔽2)14yes—
521C22×C4H(5,𝔽2)12yes—
522C22×C4H(5,𝔽2)12yes—
523C22×C4H(5,𝔽2)14yes—
524C22×C4H(5,𝔽2)14yes—
525C4⋊C4—28no—
526C4⋊C4—28no—
527C4⋊C4—48no—
528C4⋊C4—48no—
529C4⋊C4—48no—
530C4⋊C4—48no—
531C4⋊C4—44no—
532C4⋊C4—44no—
533C4⋊C4—48no—
534C4⋊C4—48no—
535C4⋊C4—44no—
536C4⋊C4—44no—
537C4⋊C4—48no—
538C4⋊C4—84no—
539C4⋊C4—84no—
540C4⋊C4—88no—
541C4⋊C4—88no—
542C22⋊C4—48no—
543C22⋊C4—44no—
544C22⋊C4—44no—
545C22⋊C4—48no—
546C22⋊C4—48no—
547C22⋊C4—88no—
548C22⋊C4—88no—
549C22⋊C4—88no—
550C22⋊C4—88no—
551C22⋊C4—88no—
552C22⋊C4—88no—
553C22⋊C4—88no—
554C22⋊C4—88no—
555C22⋊C4—84no—
556C22⋊C4—84no—
557C22⋊C4—88no—
558C22⋊C4—88no—
559C22⋊C4—88no—
560C22⋊C4—88no—
561C42—48no—
562C42—44no—
563C42—44no—
564C42—48no—
565C42—48no—
566C23—22no—
567C23—22no—
568C23—24no—
569C23—24no—
570C23—22no—
571C23—22no—
572C23—24no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—24no—
578C23—22no—
579C23—22no—
580C23—28no—
581C23—28no—
582C23—28no—
583C23—28no—
584C23—28no—
585C23—28no—
586C23—28no—
587C23—432no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—816no—
625C23—816no—
626C23—832no—
627C23—832no—
628C23—816no—
629C23—832no—
630C23—816no—
631C23—816no—
632C23—816no—
633C23—832no—
634C23C2×C22⋊Q814yes—
635C23C23×D411yescharacteristic
636C23C23×Q811yescharacteristic
637C23C22×#4111yescharacteristic
638C23C2×H(5,𝔽2)12yes—
639C23C2×H(5,𝔽2)12yes—
640C23C2×H(5,𝔽2)11yescharacteristic
641C23C2×H(5,𝔽2)11yescharacteristic
642C23C2×H(5,𝔽2)12yes—
643C23#58511yescharacteristic
644C23#58511yescharacteristic
645C23#58512yes—
646D4—432no—
647D4—432no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—232no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—41no—
700C2×C4—42no—
701C2×C4—41no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4C2×C22⋊Q814yes—
729C2×C4C2×C22⋊Q814yes—
730C2×C4#53414yes—
731C2×C4#53514yes—
732C2×C4#53818yes—
733C2×C4#54318yes—
734C22—24no—
735C22—24no—
736C22—24no—
737C22—42no—
738C22—44no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—48no—
746C22—48no—
747C22—48no—
748C22—48no—
749C22—48no—
750C22—48no—
751C22—48no—
752C22—864no—
753C22—84no—
754C22—84no—
755C22—84no—
756C22—84no—
757C22—84no—
758C22—84no—
759C22—84no—
760C22—84no—
761C22C22×C22⋊Q811yescharacteristic
762C22C2×#53411yescharacteristic
763C22C2×#53511yescharacteristic
764C22C2×#53812yes—
765C22C2×#54312yes—
766C22#348811yescharacteristic
767C22#348811yescharacteristic
768C22#349412yes—
769C22#349811yescharacteristic
770C22#350011yescharacteristic
771C22#350111yescharacteristic
772C22#350111yescharacteristic
773C22#350112yes—
774C22#350811yescharacteristic
775C22#351011yescharacteristic
776C22#353712yes—
777C22#354212yes—
778C22#354312yes—
779C22#354612yes—
780C22#354612yes—
781C22#354612yes—
782C22#355112yes—
783C22#356212yes—
784C4—24no—
785C4—42no—
786C4—44no—
787C4—44no—
788C4—44no—
789C4—42no—
790C4—82no—
791C4—84no—
792C4—81no—
793C4—81no—
794C4—82no—
795C4—82no—
796C4—82no—
797C4—82no—
798C4#262618yes—
799C2—44no—
800C2—88no—
801C2C2×#262611yescharacteristic
802C2#3551511yescharacteristic
803C2#3552911yescharacteristic
804C2#3733112yes—
805C2#3736512yes—
806C2#4248612yes—
807C2#4249012yes—
808C2#4296211yescharacteristic
809C2#4296711yescharacteristic
810C2#4296911yescharacteristic
811C2#4298611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC24×D4C22
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×#2441C2semidirect
3. #17071C2semidirect
4. #17026C2semidirect
5. #17007C2semidirect
6. #16822C2semidirect
7. #16298C2semidirect
8. #16298C2semidirect
9. #15229C2semidirect
10. #15148C2semidirect
11. #15141C2semidirect
12. #15134C2semidirect
13. #14264C2semidirect
14. #13951C2semidirect
17. #13844C2semidirect
19. C22×#125C22semidirect
24. C2×#399C22semidirect
26. C2×#396C22semidirect
27. C2×#396C22semidirect
28. C2×#396C22semidirect
38. C2×#389C22semidirect
39. C2×#389C22semidirect
40. C2×#389C22semidirect
41. C2×#389C22semidirect
42. C2×#389C22semidirect
43. C2×#387C22semidirect
44. C2×#384C22semidirect
51. C2×C4×C4⋊C4C22semidirect
54. #1444C22semidirect
55. #1444C22semidirect
56. #1444C22semidirect
57. #1442C22semidirect
58. #1442C22semidirect
59. #1442C22semidirect
64. #1439C22semidirect
65. #1439C22semidirect
66. #1439C22semidirect
67. #1439C22semidirect
68. #1439C22semidirect
69. #1439C22semidirect
70. #1439C22semidirect
71. #1439C22semidirect
72. #1439C22semidirect
73. #1439C22semidirect
74. #1439C22semidirect
75. #1439C22semidirect
80. C4⋊#95C22semidirect
81. C4⋊#95C22semidirect
82. C4⋊#95C22semidirect
83. #1434C22semidirect
84. C4×#95C22semidirect

Maximal subgroups

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

subgroupindex
C2×#24412
C2×#23092
#170712
#170262
#170072
#168222
#162982
#152292
#151482
#151412
#151342
#142642
#139512
#139022
#138442