Finite Group Databasebeta

← #642404

Subgroups — #642404

Order 512.

3222 conjugacy classes of subgroups.

The subgroup lattice has 812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2855C211yesmaximal, characteristic, complemented
2C2×#2626C211yesmaximal, characteristic
3C22×#388C211yesmaximal, characteristic
4C2×#2283C211yesmaximal, characteristic, complemented
5#16685C214yesmaximal, complemented
6#16676C212yesmaximal, complemented
7#16665C212yesmaximal, complemented
8#14919C212yesmaximal, complemented
9#14918C212yesmaximal
10#14910C212yesmaximal, complemented
11#14902C212yesmaximal, complemented
12#14805C214yesmaximal, complemented
13#14338C211yesmaximal, characteristic
14#14281C211yesmaximal, characteristic, complemented
15#14275C211yesmaximal, characteristic, complemented
16#14043C212yesmaximal, complemented
17#13971C212yesmaximal
18C22×C22⋊Q8C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C22⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23C23×C42C2211yescharacteristic
24#2855—28no—
25#2626—28no—
26C2×#399C2212yes—
27C2×#396C2214yes—
28C2×#393C2212yes—
29C2×#391C2211yescharacteristic, complemented
30C2×#391C2211yescharacteristic, complemented
31C2×#389C2211yescharacteristic, complemented
32C2×#389C2211yescharacteristic, complemented
33C2×#389C2214yescomplemented
34C2×#388—28no—
35C2×#388C2212yes—
36C2×#388C2212yes—
37C2×#388C2212yes—
38C2×#388C2212yes—
39C2×#388C2214yes—
40C2×#387C2212yescomplemented
41C2×#387C2212yescomplemented
42C2×#385C2212yes—
43C2×#385C2212yes—
44C2×#385C2212yes—
45#2283—28no—
46C2×#383C2212yescomplemented
47C2×#382C2212yescomplemented
48C2×#381C2212yes—
49C2×#381C2212yes—
50C2×#380C2211yescharacteristic
51C2×#380C2211yescharacteristic
52C2×#380C2211yescharacteristic
53C2×#379C2212yes—
54C2×#379C2212yes—
55C2×C4×C4⋊C4C2212yescomplemented
56C2×C4×C22⋊C4C2212yes—
57C2×#376C2212yescomplemented
58C22×#95C2211yescharacteristic
59C22×#95C2211yescharacteristic
60#1446C2212yescomplemented
61#1445C2212yescomplemented
62#1445C2214yescomplemented
63#1444C2212yescomplemented
64#1444C2214yescomplemented
65#1443C2214yescomplemented
66#1443C2214yescomplemented
67#1442C2212yescomplemented
68#1442C2214yescomplemented
69#1441C2214yescomplemented
70#1441C2214yescomplemented
71#1441C2214yescomplemented
72#1440C2214yes—
73#1440C2214yes—
74#1440C2214yes—
75#1439C2212yes—
76#1439C2212yes—
77#1439C2214yes—
78#1439C2214yes—
79#1439C2214yes—
80#1439C2214yes—
81#1437C2214yes—
82#1436C2214yescomplemented
83C22⋊#95C2212yes—
84C22⋊#95C2212yes—
85C22⋊#95C2212yes—
86C22⋊#95C2212yes—
87C26C2311yescharacteristic
88C23×Q8C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C2×C22⋊Q8—24no—
96C2×C22⋊Q8—24no—
97C2×C22⋊Q8—24no—
98C22×C4⋊C4—24no—
99C22×C4⋊C4—44no—
100C22×C4⋊C4C2312yes—
101C22×C4⋊C4C2311yescharacteristic
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2314yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2314yes—
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2312yes—
112C22×C22⋊C4—24no—
113C22×C22⋊C4—24no—
114C22×C22⋊C4—24no—
115C22×C22⋊C4—24no—
116C22×C22⋊C4—24no—
117C22×C22⋊C4—24no—
118C22×C22⋊C4—24no—
119C22×C22⋊C4—44no—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C42—24no—
135C22×C42—24no—
136C22×C42D418yes—
137C22×C42C2314yes—
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142#399—28no—
143#396—216no—
144#393—28no—
145#391—24no—
146#391—24no—
147#389—24no—
148#389—24no—
149#389—48no—
150#388—28no—
151#388—28no—
152#388—28no—
153#388—28no—
154#388—48no—
155#387—28no—
156#387—28no—
157#385—28no—
158#385—28no—
159#385—28no—
160#383—28no—
161#382—28no—
162#381—28no—
163#381—28no—
164#380—24no—
165#380—24no—
166#380D418yes—
167#379—28no—
168#379—28no—
169C4×C4⋊C4—28no—
170C4×C22⋊C4—28no—
171#376—28no—
172C2×#95—24no—
173C2×#95—24no—
174C2×#95C2314yes—
175C2×#95C2312yes—
176C2×#95C2314yes—
177C2×#95C2312yes—
178C2×#95C2312yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2312yes—
200C25—22no—
201C25—22no—
202C25—22no—
203C25—22no—
204C25—22no—
205C25—22no—
206C25—42no—
207C25—42no—
208C25—42no—
209C25—42no—
210C25#4114yes—
211C25C2412yes—
212C25C2411yescharacteristic
213C22×Q8—22no—
214C22×Q8—22no—
215C22×Q8—22no—
216C22×Q8—42no—
217C22×Q8—42no—
218C23×C4—22no—
219C23×C4—22no—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—24no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—42no—
236C23×C4—42no—
237C23×C4—42no—
238C23×C4—42no—
239C23×C4—42no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—42no—
243C23×C4—42no—
244C23×C4C2×D414yes—
245C23×C4C2×D414yes—
246C23×C4C2×D414yes—
247C23×C4C2×D414yes—
248C23×C4#4114yes—
249C23×C4#4114yes—
250C23×C4C2412yes—
251C23×C4C2412yes—
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2414yes—
255C23×C4C2412yes—
256C23×C4C2412yes—
257C23×C4C2414yes—
258C23×C4C2411yescharacteristic
259C23×C4C2411yescharacteristic
260C23×C4C2411yescharacteristic
261C23×C4C2412yes—
262C23×C4C2411yescharacteristic
263C23×C4C2411yescharacteristic
264C23×C4C2411yescharacteristic
265C22⋊Q8—416no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—22no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—28no—
280C2×C4⋊C4—28no—
281C2×C4⋊C4—28no—
282C2×C4⋊C4—28no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4—42no—
285C2×C4⋊C4—42no—
286C2×C4⋊C4—42no—
287C2×C4⋊C4—42no—
288C2×C4⋊C4—42no—
289C2×C4⋊C4—42no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—416no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4C2×D418yes—
297C2×C22⋊C4—232no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—28no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4—416no—
332C2×C22⋊C4—416no—
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—232no—
341C2×C42—22no—
342C2×C42—22no—
343C2×C42—22no—
344C2×C42—22no—
345C2×C42—22no—
346C2×C42—22no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—28no—
350C2×C42—28no—
351C2×C42—44no—
352C2×C42C2×D414yes—
353C2×C42C2×D414yes—
354C2×C42C2×D414yes—
355C2×C42C2×D414yes—
356#95—24no—
357#95—24no—
358#95—24no—
359#95—24no—
360#95—24no—
361#95—28no—
362#95—28no—
363#95—28no—
364#95—24no—
365#95—24no—
366#95—24no—
367#95—24no—
368#95—24no—
369#95—24no—
370#95—24no—
371#95—28no—
372#95—28no—
373#95—44no—
374#95—44no—
375#95—44no—
376#95—44no—
377#95—44no—
378#95—44no—
379#95—44no—
380#95—44no—
381#95C2×D418yes—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—28no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—22no—
391C24—24no—
392C24—22no—
393C24—22no—
394C24—24no—
395C24—24no—
396C24—24no—
397C24—28no—
398C24—28no—
399C24—48no—
400C24—48no—
401C24—44no—
402C24—44no—
403C24—44no—
404C24—44no—
405C24—48no—
406C24—48no—
407C24—44no—
408C24—44no—
409C24—44no—
410C24—44no—
411C24—84no—
412C24—84no—
413C24—84no—
414C24—84no—
415C24—84no—
416C24—84no—
417C24—84no—
418C24—84no—
419C24C22×D412yes—
420C24C22×D412yes—
421C24C2×#4114yes—
422C24C2×#4112yes—
423C24C2×#4112yes—
424C24C2×#4112yes—
425C242−1+412yes—
426C242−1+412yes—
427C24C2511yescharacteristic
428C2×Q8—44no—
429C2×Q8—44no—
430C2×Q8—44no—
431C2×Q8—84no—
432C2×Q8—84no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—28no—
443C22×C4—28no—
444C22×C4—28no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—28no—
472C22×C4—24no—
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—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—48no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—84no—
531C22×C4—84no—
532C22×C4—84no—
533C22×C4—84no—
534C22×C4#121116yes—
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C22×D418yes—
538C22×C4C22×D412yes—
539C22×C4C22×D412yes—
540C22×C4C22×D412yes—
541C22×C4C22×D412yes—
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C2×#4114yes—
545C22×C4C2×#4112yes—
546C22×C4C2×#4112yes—
547C22×C4H(5,𝔽2)14yes—
548C4⋊C4—48no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—48no—
552C4⋊C4—48no—
553C4⋊C4—416no—
554C4⋊C4—48no—
555C4⋊C4—44no—
556C4⋊C4—48no—
557C4⋊C4—48no—
558C4⋊C4—48no—
559C4⋊C4—88no—
560C22⋊C4—216no—
561C22⋊C4—216no—
562C22⋊C4—216no—
563C22⋊C4—48no—
564C22⋊C4—416no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—88no—
572C22⋊C4—88no—
573C22⋊C4—88no—
574C42—28no—
575C42—28no—
576C42—28no—
577C42—28no—
578C42—416no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—28no—
597C23—24no—
598C23—24no—
599C23—28no—
600C23—416no—
601C23—416no—
602C23—42no—
603C23—416no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—44no—
610C23—42no—
611C23—42no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—816no—
622C23—816no—
623C23—88no—
624C23—816no—
625C23—816no—
626C23—88no—
627C23—88no—
628C23—88no—
629C23C2×#12114yes—
630C23#52514yes—
631C23#53614yes—
632C23#54714yes—
633C23#54814yes—
634C23#55214yes—
635C23#55614yes—
636C23C23×D411yescharacteristic
637C23C23×D411yescharacteristic
638C23C22×#4111yescharacteristic
639C23C22×#4111yescharacteristic
640C23C22×#4111yescharacteristic
641C23C2×H(5,𝔽2)12yes—
642C23C2×2−1+411yescharacteristic
643C23C2×2−1+411yescharacteristic
644C23#58512yes—
645C23#58512yes—
646C23#58512yes—
647Q8—88no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—28no—
671C2×C4—28no—
672C2×C4—28no—
673C2×C4—28no—
674C2×C4—416no—
675C2×C4—416no—
676C2×C4—416no—
677C2×C4—416no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
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—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—88no—
733C2×C4—88no—
734C2×C4C2×#12114yes—
735C2×C4C2×#12114yes—
736C2×C4#53514yes—
737C22—24no—
738C22—24no—
739C22—24no—
740C22—28no—
741C22—28no—
742C22—28no—
743C22—28no—
744C22—24no—
745C22—24no—
746C22—24no—
747C22—44no—
748C22—44no—
749C22—48no—
750C22—48no—
751C22—44no—
752C22—832no—
753C22—82no—
754C22—84no—
755C22—84no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22#241518yes—
760C22C22×#12111yescharacteristic
761C22C2×#52511yescharacteristic
762C22C2×#53511yescharacteristic
763C22C2×#53611yescharacteristic
764C22#344911yescharacteristic
765C22#344911yescharacteristic
766C22#344911yescharacteristic
767C22#345912yes—
768C22#345912yes—
769C22C2×#54711yescharacteristic
770C22C2×#54811yescharacteristic
771C22C2×#55211yescharacteristic
772C22C2×#55611yescharacteristic
773C22#348512yes—
774C22#348812yes—
775C22#349112yes—
776C22#349112yes—
777C22#349312yes—
778C22#349412yes—
779C22#356112yes—
780C22#356112yes—
781C22#356412yes—
782C22#356412yes—
783C4—24no—
784C4—24no—
785C4—24no—
786C4—44no—
787C4—48no—
788C4—42no—
789C4—42no—
790C4—42no—
791C4—82no—
792C4—82no—
793C4—82no—
794C4—84no—
795C4—82no—
796C4—82no—
797C4—82no—
798C2—28no—
799C2—84no—
800C2#3459311yescharacteristic
801C2C2×#241511yescharacteristic
802C2#3508911yescharacteristic
803C2#3511811yescharacteristic
804C2#3525211yescharacteristic
805C2#3753711yescharacteristic
806C2#3754811yescharacteristic
807C2#3775412yes—
808C2#3776212yes—
809C2#3793412yes—
810C2#3795812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC26C23
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×#2855C2semidirect
4. C2×#2283C2semidirect
5. #16685C2semidirect
6. #16676C2semidirect
7. #16665C2semidirect
8. #14919C2semidirect
10. #14910C2semidirect
11. #14902C2semidirect
12. #14805C2semidirect
14. #14281C2semidirect
15. #14275C2semidirect
16. #14043C2semidirect
29. C2×#391C22semidirect
30. C2×#391C22semidirect
31. C2×#389C22semidirect
32. C2×#389C22semidirect
33. C2×#389C22semidirect
40. C2×#387C22semidirect
41. C2×#387C22semidirect
46. C2×#383C22semidirect
47. C2×#382C22semidirect
55. C2×C4×C4⋊C4C22semidirect
57. C2×#376C22semidirect
60. #1446C22semidirect
61. #1445C22semidirect
62. #1445C22semidirect
63. #1444C22semidirect
64. #1444C22semidirect
65. #1443C22semidirect
66. #1443C22semidirect
67. #1442C22semidirect
68. #1442C22semidirect
69. #1441C22semidirect
70. #1441C22semidirect
71. #1441C22semidirect
82. #1436C22semidirect

Maximal subgroups

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

subgroupindex
C2×#28552
C2×#26262
C22×#3882
C2×#22832
#166852
#166762
#166652
#149192
#149182
#149102
#149022
#148052
#143382
#142812
#142752
#140432
#139712