Finite Group Databasebeta

← #530325

Subgroups — #530325

Order 512.

4018 conjugacy classes of subgroups.

The subgroup lattice has 810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#380C211yesmaximal, characteristic
2#14680C211yesmaximal, characteristic
3#14453C212yesmaximal, complemented
4#14452C212yesmaximal, complemented
5#14370C214yesmaximal, complemented
6#14275C212yesmaximal, complemented
7#14028C214yesmaximal, complemented
8#13923C212yesmaximal, complemented
9#13908C212yesmaximal, complemented
10#13883C212yesmaximal, complemented
11#13882C212yesmaximal, complemented
12#13877C212yesmaximal
13C22⋊C42C212yesmaximal
14#13778C212yesmaximal, complemented
15C2×C22⋊#95C211yesmaximal, characteristic
16C25×C4C2211yescharacteristic
17C23×C4⋊C4C2211yescharacteristic
18C23×C4⋊C4C2211yescharacteristic
19C23×C22⋊C4C2211yescharacteristic
20C23×C22⋊C4C2212yes—
21C23×C22⋊C4C2211yescharacteristic
22C2×#387C2214yescomplemented
23C2×#385C2214yes—
24C2×#380C4116yescomplemented
25C2×#380C2212yes—
26C2×#380C2212yes—
27C2×#380C2212yes—
28C2×#380C2212yes—
29C2×#380C2211yescharacteristic
30C2×#380C2211yescharacteristic
31C2×#380C2211yescharacteristic
32C2×#380C2212yes—
33C2×#380C2211yescharacteristic
34C2×#380C2212yes—
35C2×#380C2211yescharacteristic
36C2×#380C2211yescharacteristic
37C2×#379C2212yes—
38C2×C4×C22⋊C4C2212yes—
39C2×C4×C22⋊C4C2212yes—
40C2×C4×C22⋊C4C2214yes—
41C22×#95C2212yes—
42C22×#95C2212yes—
43C22×#95C2212yes—
44#1445C2214yescomplemented
45#1444C2214yescomplemented
46#1443C2214yescomplemented
47#1442C2214yescomplemented
48#1442C2214yescomplemented
49#1441C2214yescomplemented
50#1441C2214yescomplemented
51#1441C2214yescomplemented
52#1439C2214yes—
53#1439C2214yes—
54#1437C2214yes—
55#1437C2214yes—
56#1436C2214yescomplemented
57#1436C2214yescomplemented
58#1436C2214yescomplemented
59#1436C2214yescomplemented
60#1436C2214yescomplemented
61#1436C2214yescomplemented
62#1434C2214yescomplemented
63C22⋊#95C2212yes—
64C22⋊#95C2212yes—
65C22⋊#95C2212yes—
66C22⋊#95C2214yes—
67C22⋊#95C2212yes—
68C22⋊#95C2212yes—
69C22⋊#95C2212yes—
70C22⋊#95C2212yes—
71C22⋊#95C2212yes—
72C22⋊#95C2212yes—
73C22⋊#95C2212yes—
74C22⋊#95C2212yes—
75C22⋊#95C2214yes—
76C26C2311yescharacteristic
77C24×C4—28no—
78C24×C4—44no—
79C24×C4—42no—
80C24×C4—42no—
81C24×C4C2×C418yes—
82C24×C4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2312yes—
87C24×C4C2311yescharacteristic
88C24×C4C2312yes—
89C24×C4C2312yes—
90C24×C4C2312yes—
91C24×C4C2311yescharacteristic
92C22×C4⋊C4—44no—
93C22×C4⋊C4—42no—
94C22×C4⋊C4—42no—
95C22×C4⋊C4C2×C418yescomplemented
96C22×C4⋊C4C2×C418yescomplemented
97C22×C4⋊C4C2312yes—
98C22×C4⋊C4C2312yes—
99C22×C4⋊C4C2312yes—
100C22×C4⋊C4C2314yes—
101C22×C4⋊C4C2314yes—
102C22×C4⋊C4C2311yescharacteristic
103C22×C4⋊C4C2311yescharacteristic
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2311yescharacteristic
106C22×C4⋊C4C2311yescharacteristic
107C22×C22⋊C4—24no—
108C22×C22⋊C4—42no—
109C22×C22⋊C4—42no—
110C22×C22⋊C4—48no—
111C22×C22⋊C4—42no—
112C22×C22⋊C4—42no—
113C22×C22⋊C4C2×C4116yes—
114C22×C22⋊C4Q818yes—
115C22×C22⋊C4C2312yes—
116C22×C22⋊C4C2312yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C42C2314yes—
128C22×C42C2314yes—
129#387—48no—
130#385—48no—
131#380—28no—
132#380—44no—
133#380—44no—
134#380—44no—
135#380—42no—
136#380—42no—
137#380C2×C4116yes—
138#380C2×C418yes—
139#380C2×C418yes—
140#380C2×C4116yescomplemented
141#380C2×C418yescomplemented
142#380C2×C418yescomplemented
143#379—28no—
144C4×C22⋊C4—44no—
145C4×C22⋊C4—44no—
146C4×C22⋊C4—48no—
147C2×#95—28no—
148C2×#95—44no—
149C2×#95C2×C4116yescomplemented
150C2×#95C2314yes—
151C2×#95C2314yes—
152C2×#95C2314yes—
153C2×#95C2314yes—
154C2×#95C2314yes—
155C2×#95C2312yes—
156C2×#95C2314yes—
157C2×#95C2314yes—
158C2×#95C2314yes—
159C2×#95C2314yes—
160C2×#95C2314yes—
161C2×#95C2312yes—
162C2×#95C2314yes—
163C2×#95C2314yes—
164C2×#95C2314yes—
165C2×#95C2314yes—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2312yes—
171C2×#95C2312yes—
172C2×#95C2312yes—
173C2×#95C2312yes—
174C25—24no—
175C25—24no—
176C25—22no—
177C25—22no—
178C25—22no—
179C25—22no—
180C25—42no—
181C25—42no—
182C25C22×C414yes—
183C25C2×Q814yes—
184C25#4114yes—
185C25C2411yescharacteristic
186C25C2411yescharacteristic
187C25C2411yescharacteristic
188C23×C4—22no—
189C23×C4—22no—
190C23×C4—24no—
191C23×C4—24no—
192C23×C4—24no—
193C23×C4—22no—
194C23×C4—22no—
195C23×C4—24no—
196C23×C4—24no—
197C23×C4—24no—
198C23×C4—24no—
199C23×C4—24no—
200C23×C4—24no—
201C23×C4—232no—
202C23×C4—24no—
203C23×C4—24no—
204C23×C4—24no—
205C23×C4—24no—
206C23×C4—24no—
207C23×C4—24no—
208C23×C4—24no—
209C23×C4—24no—
210C23×C4—416no—
211C23×C4—416no—
212C23×C4—42no—
213C23×C4—41no—
214C23×C4—41no—
215C23×C4—41no—
216C23×C4—41no—
217C23×C4—42no—
218C23×C4—41no—
219C23×C4—41no—
220C23×C4—42no—
221C23×C4—41no—
222C23×C4—41no—
223C23×C4—42no—
224C23×C4—42no—
225C23×C4—44no—
226C23×C4—44no—
227C23×C4—42no—
228C23×C4—42no—
229C23×C4—44no—
230C23×C4—42no—
231C23×C4—44no—
232C23×C4—42no—
233C23×C4—42no—
234C23×C4—42no—
235C23×C4—432no—
236C23×C4—432no—
237C23×C4C22×C414yes—
238C23×C4C22×C414yes—
239C23×C4C22×C414yes—
240C23×C4C22×C414yes—
241C23×C4C22×C418yes—
242C23×C4C22×C418yes—
243C23×C4C22×C414yes—
244C23×C4C22×C414yes—
245C23×C4C2×Q818yes—
246C23×C4#4118yes—
247C23×C4C2414yes—
248C23×C4C2414yes—
249C23×C4C2414yes—
250C23×C4C2412yes—
251C23×C4C2412yes—
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2411yescharacteristic
255C23×C4C2414yes—
256C23×C4C2411yescharacteristic
257C23×C4C2411yescharacteristic
258C23×C4C2411yescharacteristic
259C2×C4⋊C4—28no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—416no—
263C2×C4⋊C4—416no—
264C2×C4⋊C4—41no—
265C2×C4⋊C4—41no—
266C2×C4⋊C4—42no—
267C2×C4⋊C4—42no—
268C2×C4⋊C4—42no—
269C2×C4⋊C4—42no—
270C2×C4⋊C4—41no—
271C2×C4⋊C4—41no—
272C2×C4⋊C4—44no—
273C2×C4⋊C4—42no—
274C2×C4⋊C4—42no—
275C2×C4⋊C4—42no—
276C2×C4⋊C4—42no—
277C2×C4⋊C4—44no—
278C2×C4⋊C4—44no—
279C2×C4⋊C4—44no—
280C2×C4⋊C4—44no—
281C2×C4⋊C4—44no—
282C2×C4⋊C4C22×C418yes—
283C2×C4⋊C4C22×C414yes—
284C2×C4⋊C4C22×C414yes—
285C2×C4⋊C4C22×C414yes—
286C2×C4⋊C4C22×C414yes—
287C2×C4⋊C4C22×C418yes—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—28no—
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—24no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—432no—
307C2×C22⋊C4—416no—
308C2×C22⋊C4—44no—
309C2×C22⋊C4—44no—
310C2×C22⋊C4—42no—
311C2×C22⋊C4—42no—
312C2×C22⋊C4—42no—
313C2×C22⋊C4—42no—
314C2×C22⋊C4—416no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4C22×C418yes—
318C2×C22⋊C4C22×C418yes—
319C2×C22⋊C4C22×C418yes—
320C2×C22⋊C4C22×C418yes—
321C2×C22⋊C4C2×Q818yes—
322C2×C22⋊C4C2×Q818yes—
323C2×C42—44no—
324C2×C42—44no—
325C2×C42—44no—
326C2×C42—44no—
327C2×C42—44no—
328C2×C42—44no—
329#95—28no—
330#95—28no—
331#95—28no—
332#95—28no—
333#95—28no—
334#95—44no—
335#95—44no—
336#95—44no—
337#95—44no—
338#95—44no—
339#95—44no—
340#95—44no—
341#95—44no—
342#95—44no—
343#95—42no—
344#95—42no—
345#95—44no—
346#95—44no—
347#95—44no—
348#95—44no—
349#95C22×C418yes—
350#95C22×C418yes—
351#95C22×C418yes—
352#95C22×C418yes—
353C24—22no—
354C24—22no—
355C24—22no—
356C24—22no—
357C24—21no—
358C24—21no—
359C24—21no—
360C24—21no—
361C24—22no—
362C24—22no—
363C24—28no—
364C24—28no—
365C24—28no—
366C24—28no—
367C24—28no—
368C24—28no—
369C24—28no—
370C24—28no—
371C24—216no—
372C24—216no—
373C24—22no—
374C24—22no—
375C24—21no—
376C24—22no—
377C24—21no—
378C24—21no—
379C24—21no—
380C24—22no—
381C24—44no—
382C24—44no—
383C24—48no—
384C24—48no—
385C24—48no—
386C24—48no—
387C24—48no—
388C24—48no—
389C24—48no—
390C24—48no—
391C24—48no—
392C24—48no—
393C24C4×Q8116yes—
394C24C23×C412yes—
395C24C23×C412yes—
396C24C23×C412yes—
397C24C22×Q812yes—
398C24C22×Q812yes—
399C24C22×Q812yes—
400C24C2×#4112yes—
401C24C2×#4114yes—
402C24C2×#4112yes—
403C24C2×#4112yes—
404C24H(5,𝔽2)12yes—
405C24H(5,𝔽2)12yes—
406C24H(5,𝔽2)14yes—
407C24H(5,𝔽2)12yes—
408C242−1+412yes—
409C24C2511yescharacteristic
410C22×C4—216no—
411C22×C4—216no—
412C22×C4—28no—
413C22×C4—22no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—22no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—22no—
422C22×C4—28no—
423C22×C4—28no—
424C22×C4—28no—
425C22×C4—28no—
426C22×C4—24no—
427C22×C4—22no—
428C22×C4—24no—
429C22×C4—22no—
430C22×C4—24no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—24no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—24no—
443C22×C4—24no—
444C22×C4—24no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—216no—
453C22×C4—216no—
454C22×C4—216no—
455C22×C4—28no—
456C22×C4—28no—
457C22×C4—28no—
458C22×C4—28no—
459C22×C4—28no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—44no—
482C22×C4—44no—
483C22×C4—44no—
484C22×C4—44no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—48no—
489C22×C4—48no—
490C22×C4—48no—
491C22×C4—48no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—48no—
495C22×C4—48no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—4128no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—84no—
509C22×C4—84no—
510C22×C4—84no—
511C22×C4—88no—
512C22×C4—88no—
513C22×C4—88no—
514C22×C4—84no—
515C22×C4—88no—
516C22×C4—84no—
517C22×C4—84no—
518C22×C4—84no—
519C22×C4—84no—
520C22×C4#117116yes—
521C22×C4C23×C412yes—
522C22×C4C23×C414yes—
523C22×C4C23×C414yes—
524C22×C4C23×C414yes—
525C22×C4C23×C414yes—
526C22×C4C23×C412yes—
527C22×C4C23×C412yes—
528C22×C4C23×C412yes—
529C22×C4C22×Q818yes—
530C22×C4C2×#4114yes—
531C22×C4C2×#4114yes—
532C22×C4H(5,𝔽2)14yes—
533C4⋊C4—216no—
534C4⋊C4—44no—
535C4⋊C4—44no—
536C4⋊C4—44no—
537C4⋊C4—44no—
538C4⋊C4—48no—
539C4⋊C4—84no—
540C4⋊C4—84no—
541C4⋊C4—88no—
542C4⋊C4—88no—
543C22⋊C4—216no—
544C22⋊C4—216no—
545C22⋊C4—216no—
546C22⋊C4—48no—
547C22⋊C4—48no—
548C22⋊C4—48no—
549C22⋊C4—48no—
550C22⋊C4—48no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—416no—
554C22⋊C4—88no—
555C42—88no—
556C42—88no—
557C23—22no—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—232no—
592C23—232no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—416no—
608C23—416no—
609C23—432no—
610C23—432no—
611C23—416no—
612C23—416no—
613C23—416no—
614C23—432no—
615C23—432no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23C2×#11714yes—
625C23C2×C4×Q814yes—
626C23C2×C4×Q814yes—
627C23C2×C4×Q814yes—
628C23#51814yes—
629C23#51814yes—
630C23#52014yes—
631C23#53814yes—
632C23#53914yes—
633C23#54314yes—
634C23#54414yes—
635C23#55318yes—
636C23#55418yes—
637C23C24×C411yescharacteristic
638C23C23×Q811yescharacteristic
639C23C22×#4112yes—
640C23C22×#4111yescharacteristic
641C23C2×H(5,𝔽2)11yescharacteristic
642C23C2×H(5,𝔽2)11yescharacteristic
643C23C2×H(5,𝔽2)12yes—
644C23C2×H(5,𝔽2)12yes—
645C23C2×H(5,𝔽2)11yescharacteristic
646C23C2×2−1+411yescharacteristic
647C23#58512yes—
648C2×C4—232no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—28no—
677C2×C4—28no—
678C2×C4—28no—
679C2×C4—416no—
680C2×C4—416no—
681C2×C4—416no—
682C2×C4—416no—
683C2×C4—416no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—816no—
720C2×C4—816no—
721C2×C4—816no—
722C2×C4—816no—
723C2×C4C2×#11714yes—
724C2×C4C2×#11714yes—
725C2×C4#51814yes—
726C22—28no—
727C22—28no—
728C22—28no—
729C22—28no—
730C22—24no—
731C22—24no—
732C22—24no—
733C22—24no—
734C22—24no—
735C22—24no—
736C22—24no—
737C22—24no—
738C22—24no—
739C22—24no—
740C22—24no—
741C22—24no—
742C22—28no—
743C22—28no—
744C22—28no—
745C22—28no—
746C22—24no—
747C22—24no—
748C22—24no—
749C22—464no—
750C22—44no—
751C22—44no—
752C22—42no—
753C22—42no—
754C22—42no—
755C22—42no—
756C22—44no—
757C22—44no—
758C22#232918yes—
759C22#234518yes—
760C22C22×#11711yescharacteristic
761C22C22×C4×Q811yescharacteristic
762C22C2×#51811yescharacteristic
763C22C2×#51811yescharacteristic
764C22C2×#51811yescharacteristic
765C22C2×#52011yescharacteristic
766C22#342811yescharacteristic
767C22C2×#53811yescharacteristic
768C22C2×#53911yescharacteristic
769C22C2×#54311yescharacteristic
770C22C2×#54411yescharacteristic
771C22C2×#55312yes—
772C22C2×#55412yes—
773C22#349012yes—
774C22#349012yes—
775C22#349412yes—
776C22#349512yes—
777C22#350112yes—
778C22#350512yes—
779C22#353412yes—
780C22#353412yes—
781C22#353612yes—
782C22#353712yes—
783C4—24no—
784C4—24no—
785C4—24no—
786C4—44no—
787C4—44no—
788C4—44no—
789C4—44no—
790C4—42no—
791C4—48no—
792C4—84no—
793C4—84no—
794C4—84no—
795C2—28no—
796C2—28no—
797C2—44no—
798C2C2×#232911yescharacteristic
799C2C2×#234511yescharacteristic
800C2#3417611yescharacteristic
801C2#3418011yescharacteristic
802C2#3421211yescharacteristic
803C2#3435811yescharacteristic
804C2#3437911yescharacteristic
805C2#3787212yes—
806C2#3787312yes—
807C2#3789012yes—
808C2#3789112yes—
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC26C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #14453C2semidirect
4. #14452C2semidirect
5. #14370C2semidirect
6. #14275C2semidirect
7. #14028C2semidirect
8. #13923C2semidirect
9. #13908C2semidirect
10. #13883C2semidirect
11. #13882C2semidirect
14. #13778C2semidirect
22. C2×#387C22semidirect
24. C2×#380C4semidirect
44. #1445C22semidirect
45. #1444C22semidirect
46. #1443C22semidirect
47. #1442C22semidirect
48. #1442C22semidirect
49. #1441C22semidirect
50. #1441C22semidirect
51. #1441C22semidirect
56. #1436C22semidirect
57. #1436C22semidirect
58. #1436C22semidirect
59. #1436C22semidirect
60. #1436C22semidirect
61. #1436C22semidirect
62. #1434C22semidirect
95. C22×C4⋊C4C2×C4semidirect
96. C22×C4⋊C4C2×C4semidirect
140. #380C2×C4semidirect
141. #380C2×C4semidirect
142. #380C2×C4semidirect
149. C2×#95C2×C4semidirect

Maximal subgroups

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

subgroupindex
C22×#3802
#146802
#144532
#144522
#143702
#142752
#140282
#139232
#139082
#138832
#138822
#138772
C22⋊C422
#137782
C2×C22⋊#952