Finite Group Databasebeta

← #559969

Subgroups — #559969

Order 512.

4700 conjugacy classes of subgroups.

The subgroup lattice has 828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#386C211yesmaximal, characteristic
2#14680C212yesmaximal, complemented
3#14666C212yesmaximal, complemented
4#14410C212yesmaximal, complemented
5#14401C212yesmaximal, complemented
6#14397C214yesmaximal, complemented
7#14391C214yesmaximal, complemented
8#13908C212yesmaximal, complemented
9#13902C211yesmaximal, characteristic
10#13883C212yesmaximal, complemented
11#13877C212yesmaximal, complemented
12#13873C212yesmaximal, complemented
13#13873C212yesmaximal, complemented
14#13867C211yesmaximal, characteristic
15#13832C212yesmaximal, complemented
16C24×D4C2211yescharacteristic
17C25×C4C2211yescharacteristic
18C23×C22⋊C4C2211yescharacteristic
19C23×C22⋊C4C2212yes—
20C23×C22⋊C4C2211yescharacteristic
21C2×#390C2212yes—
22C2×#390C2212yes—
23C2×#388C2214yescomplemented
24C2×#388C2214yescomplemented
25C2×#386C4116yescomplemented
26C2×#386C2212yes—
27C2×#386C2212yes—
28C2×#386C2211yescharacteristic
29C2×#386C2212yes—
30C2×#386C2211yescharacteristic
31C2×#386C2212yes—
32C2×#386C2211yescharacteristic
33C2×#386C2211yescharacteristic
34C2×#385C2214yescomplemented
35C2×#380C2212yes—
36C2×#380C2212yes—
37C2×#380C2212yes—
38C2×#380C2211yescharacteristic
39C2×#380C2214yescomplemented
40C2×#380C2214yescomplemented
41C2×#379C2211yescharacteristic
42C2×#379C2212yes—
43C2×#379C2212yes—
44C2×#379C2212yes—
45C2×C4×C22⋊C4C2212yes—
46C2×C4×C22⋊C4C2211yescharacteristic
47C22×#95C2212yes—
48#1444C2214yescomplemented
49#1443C2214yescomplemented
50#1442C2214yescomplemented
51#1442C2214yescomplemented
52#1440C2214yescomplemented
53#1440C2214yescomplemented
54#1439C2214yescomplemented
55#1439C2214yescomplemented
56#1439C2214yescomplemented
57#1439C2214yescomplemented
58#1438C2212yes—
59#1438C2212yes—
60#1438C2212yes—
61#1438C2212yes—
62#1437C2214yescomplemented
63#1437C2214yescomplemented
64#1436C2214yescomplemented
65#1436C2214yescomplemented
66#1436C2214yescomplemented
67#1434C2214yescomplemented
68C22⋊#95C2212yes—
69C22⋊#95C2212yes—
70C22⋊#95C2212yes—
71C22⋊#95C2212yes—
72C22⋊#95C2212yes—
73C22⋊#95C2214yescomplemented
74C22⋊#95C2214yescomplemented
75C22⋊#95C2214yescomplemented
76C26C2311yescharacteristic
77C26C2311yescharacteristic
78C23×D4—28no—
79C23×D4—42no—
80C23×D4—42no—
81C23×D4—44no—
82C23×D4C2×C418yes—
83C23×D4C2311yescharacteristic
84C23×D4C2311yescharacteristic
85C23×D4C2311yescharacteristic
86C23×D4C2311yescharacteristic
87C24×C4—48no—
88C24×C4—42no—
89C24×C4—42no—
90C24×C4C2×C418yescomplemented
91C24×C4C2312yes—
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2312yes—
95C24×C4C2312yes—
96C24×C4C2312yes—
97C24×C4C2311yescharacteristic
98C22×C4⋊C4C2312yes—
99C22×C4⋊C4C2314yes—
100C22×C4⋊C4C2314yes—
101C22×C4⋊C4C2314yes—
102C22×C22⋊C4—48no—
103C22×C22⋊C4—44no—
104C22×C22⋊C4—44no—
105C22×C22⋊C4—42no—
106C22×C22⋊C4C2×C4116yes—
107C22×C22⋊C4C2×C418yescomplemented
108C22×C22⋊C4C2312yes—
109C22×C22⋊C4C2312yes—
110C22×C22⋊C4C2312yes—
111C22×C22⋊C4C2312yes—
112C22×C22⋊C4C2312yes—
113C22×C22⋊C4C2312yes—
114C22×C22⋊C4C2312yes—
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2311yescharacteristic
126C22×C22⋊C4C2311yescharacteristic
127C22×C22⋊C4C2312yes—
128C22×C42C2312yes—
129C22×C42C2314yes—
130#390—28no—
131#390—44no—
132#388—48no—
133#388—48no—
134#386—28no—
135#386—44no—
136#386C2×C418yes—
137#386C2×C4116yes—
138#386C2×C418yes—
139#386C2×C418yescomplemented
140#386C2×C4116yescomplemented
141#386C2×C418yescomplemented
142#385—48no—
143#380—48no—
144#380—44no—
145#380—44no—
146#380—44no—
147#380—42no—
148#380—48no—
149#379—44no—
150#379—44no—
151#379—44no—
152#379—42no—
153C4×C22⋊C4—44no—
154C4×C22⋊C4—42no—
155C2×#95C2×C4116yescomplemented
156C2×#95C2314yes—
157C2×#95C2314yes—
158C2×#95C2314yes—
159C2×#95C2314yes—
160C2×#95C2314yes—
161C2×#95C2314yes—
162C2×#95C2314yes—
163C2×#95C2314yes—
164C2×#95C2314yes—
165C2×#95C2314yes—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2314yes—
172C2×#95C2312yes—
173C2×#95C2312yes—
174C2×#95C2312yes—
175C2×#95C2312yes—
176C25—24no—
177C25—24no—
178C25—22no—
179C25—22no—
180C25—24no—
181C25—24no—
182C25—24no—
183C25—22no—
184C25—24no—
185C25—22no—
186C25—24no—
187C25—44no—
188C25—44no—
189C25—42no—
190C25C22×C414yes—
191C25C22×C414yes—
192C25C2411yescharacteristic
193C25C2411yescharacteristic
194C25C2411yescharacteristic
195C25C2411yescharacteristic
196C25C2411yescharacteristic
197C22×D4—24no—
198C22×D4—24no—
199C22×D4—24no—
200C22×D4—24no—
201C22×D4—232no—
202C22×D4—24no—
203C22×D4—416no—
204C22×D4—41no—
205C22×D4—41no—
206C22×D4—42no—
207C22×D4—41no—
208C22×D4—41no—
209C22×D4—41no—
210C22×D4—41no—
211C22×D4—41no—
212C22×D4—41no—
213C22×D4—42no—
214C22×D4—416no—
215C22×D4—432no—
216C22×D4—432no—
217C22×D4C22×C414yes—
218C22×D4C22×C414yes—
219C22×D4C22×C414yes—
220C22×D4C22×C414yes—
221C22×D4#4118yes—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4—28no—
230C23×C4—28no—
231C23×C4—28no—
232C23×C4—24no—
233C23×C4—432no—
234C23×C4—416no—
235C23×C4—41no—
236C23×C4—41no—
237C23×C4—44no—
238C23×C4—42no—
239C23×C4—42no—
240C23×C4—44no—
241C23×C4—41no—
242C23×C4—41no—
243C23×C4—44no—
244C23×C4—42no—
245C23×C4—44no—
246C23×C4—44no—
247C23×C4—42no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4—42no—
251C23×C4—432no—
252C23×C4—432no—
253C23×C4C22×C418yes—
254C23×C4C22×C414yes—
255C23×C4C22×C414yes—
256C23×C4C22×C418yes—
257C23×C4C22×C418yes—
258C23×C4C22×C414yes—
259C23×C4C2414yes—
260C23×C4C2414yes—
261C23×C4C2414yes—
262C23×C4C2414yes—
263C23×C4C2412yes—
264C23×C4C2412yes—
265C23×C4C2412yes—
266C23×C4C2411yescharacteristic
267C23×C4C2411yescharacteristic
268C23×C4C2412yes—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—28no—
271C2×C4⋊C4—28no—
272C2×C4⋊C4—44no—
273C2×C4⋊C4—44no—
274C2×C4⋊C4—44no—
275C2×C4⋊C4—44no—
276C2×C4⋊C4—42no—
277C2×C4⋊C4—44no—
278C2×C4⋊C4—44no—
279C2×C4⋊C4—44no—
280C2×C4⋊C4—42no—
281C2×C22⋊C4—28no—
282C2×C22⋊C4—28no—
283C2×C22⋊C4—28no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—24no—
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—24no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—28no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—432no—
303C2×C22⋊C4—416no—
304C2×C22⋊C4—42no—
305C2×C22⋊C4—44no—
306C2×C22⋊C4—42no—
307C2×C22⋊C4—44no—
308C2×C22⋊C4—42no—
309C2×C22⋊C4—44no—
310C2×C22⋊C4—416no—
311C2×C22⋊C4—44no—
312C2×C22⋊C4—44no—
313C2×C22⋊C4—44no—
314C2×C22⋊C4—42no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—42no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4C22×C418yes—
329C2×C22⋊C4C22×C418yes—
330C2×C22⋊C4C22×C418yes—
331C2×C22⋊C4C22×C418yes—
332C2×C22⋊C4C22×C418yes—
333C2×C22⋊C4C22×C414yes—
334C2×C22⋊C4C22×C414yes—
335C2×C42—24no—
336C2×C42—42no—
337C2×C42—44no—
338C2×C42—44no—
339C2×C42—44no—
340C2×C42—42no—
341#95—28no—
342#95—28no—
343#95—28no—
344#95—44no—
345#95—42no—
346#95—44no—
347#95—44no—
348#95—44no—
349#95—44no—
350#95—44no—
351#95—42no—
352#95—44no—
353#95—44no—
354#95—44no—
355#95—44no—
356#95—44no—
357#95C22×C418yes—
358#95C22×C418yes—
359#95C22×C418yes—
360#95C22×C418yes—
361C24—22no—
362C24—24no—
363C24—22no—
364C24—216no—
365C24—216no—
366C24—28no—
367C24—28no—
368C24—28no—
369C24—22no—
370C24—24no—
371C24—22no—
372C24—22no—
373C24—24no—
374C24—24no—
375C24—22no—
376C24—22no—
377C24—21no—
378C24—22no—
379C24—21no—
380C24—21no—
381C24—21no—
382C24—21no—
383C24—21no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—28no—
388C24—216no—
389C24—22no—
390C24—24no—
391C24—22no—
392C24—22no—
393C24—21no—
394C24—21no—
395C24—22no—
396C24—28no—
397C24—216no—
398C24—48no—
399C24—48no—
400C24—44no—
401C24—416no—
402C24—416no—
403C24—416no—
404C24—416no—
405C24—48no—
406C24—48no—
407C24—416no—
408C24—416no—
409C24—48no—
410C24—48no—
411C24—44no—
412C24—48no—
413C24—44no—
414C24—44no—
415C24—48no—
416C24—44no—
417C24—84no—
418C24—84no—
419C24—88no—
420C24—88no—
421C24C23×C412yes—
422C24C23×C412yes—
423C24C23×C412yes—
424C24C23×C412yes—
425C24C23×C412yes—
426C24C2×#4114yes—
427C24C2×#4114yes—
428C24H(5,𝔽2)14yes—
429C24H(5,𝔽2)12yes—
430C24H(5,𝔽2)12yes—
431C24H(5,𝔽2)14yes—
432C242−1+414yes—
433C24C2511yescharacteristic
434C2×D4—28no—
435C2×D4—28no—
436C2×D4—28no—
437C2×D4—28no—
438C2×D4—28no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—44no—
444C2×D4—44no—
445C2×D4—48no—
446C2×D4—48no—
447C2×D4—48no—
448C2×D4—48no—
449C2×D4—48no—
450C2×D4—48no—
451C2×D4—4128no—
452C2×D4—48no—
453C2×D4—48no—
454C2×D4#117116yes—
455C22×C4—21no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—21no—
461C22×C4—216no—
462C22×C4—28no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—216no—
480C22×C4—28no—
481C22×C4—216no—
482C22×C4—216no—
483C22×C4—216no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
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—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—44no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4—48no—
523C22×C4—416no—
524C22×C4—416no—
525C22×C4—48no—
526C22×C4—48no—
527C22×C4—416no—
528C22×C4—416no—
529C22×C4—4128no—
530C22×C4—48no—
531C22×C4—48no—
532C22×C4—48no—
533C22×C4—88no—
534C22×C4—88no—
535C22×C4—84no—
536C22×C4—88no—
537C22×C4—84no—
538C22×C4—88no—
539C22×C4C23×C412yes—
540C22×C4C23×C414yes—
541C22×C4C23×C414yes—
542C22×C4C23×C414yes—
543C22×C4C23×C412yes—
544C22×C4C23×C414yes—
545C22×C4C2×#4114yes—
546C22×C4H(5,𝔽2)18yes—
547C4⋊C4—84no—
548C4⋊C4—88no—
549C4⋊C4—88no—
550C4⋊C4—88no—
551C22⋊C4—216no—
552C22⋊C4—216no—
553C22⋊C4—216no—
554C22⋊C4—44no—
555C22⋊C4—44no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—84no—
564C22⋊C4—88no—
565C22⋊C4—88no—
566C22⋊C4—88no—
567C22⋊C4—88no—
568C22⋊C4—88no—
569C22⋊C4—84no—
570C22⋊C4—88no—
571C42—84no—
572C42—88no—
573C23—22no—
574C23—24no—
575C23—22no—
576C23—24no—
577C23—24no—
578C23—28no—
579C23—28no—
580C23—24no—
581C23—24no—
582C23—28no—
583C23—28no—
584C23—232no—
585C23—22no—
586C23—24no—
587C23—22no—
588C23—24no—
589C23—24no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—28no—
604C23—28no—
605C23—28no—
606C23—28no—
607C23—28no—
608C23—28no—
609C23—22no—
610C23—24no—
611C23—22no—
612C23—22no—
613C23—24no—
614C23—432no—
615C23—432no—
616C23—416no—
617C23—432no—
618C23—416no—
619C23—464no—
620C23—432no—
621C23—432no—
622C23—416no—
623C23—44no—
624C23—44no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—44no—
641C23—44no—
642C23—44no—
643C23—44no—
644C23—416no—
645C23—42no—
646C23—42no—
647C23—44no—
648C23—44no—
649C23—41no—
650C23—42no—
651C23—41no—
652C23—42no—
653C23—42no—
654C23—44no—
655C23—44no—
656C23—88no—
657C23—816no—
658C23—832no—
659C23—816no—
660C23—816no—
661C23C2×#11714yes—
662C23C2×#11714yes—
663C23#51814yes—
664C23#51814yes—
665C23#52018yes—
666C23#56014yes—
667C23#56218yes—
668C23#56314yes—
669C23C24×C411yescharacteristic
670C23C22×#4112yes—
671C23C2×H(5,𝔽2)11yescharacteristic
672C23C2×H(5,𝔽2)11yescharacteristic
673C23C2×H(5,𝔽2)12yes—
674C23C2×H(5,𝔽2)14yes—
675C23C2×H(5,𝔽2)12yes—
676C23C2×2−1+412yes—
677D4—416no—
678D4—416no—
679D4—416no—
680D4—416no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—28no—
688C2×C4—28no—
689C2×C4—22no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—24no—
693C2×C4—24no—
694C2×C4—24no—
695C2×C4—24no—
696C2×C4—24no—
697C2×C4—22no—
698C2×C4—22no—
699C2×C4—24no—
700C2×C4—24no—
701C2×C4—416no—
702C2×C4—432no—
703C2×C4—416no—
704C2×C4—432no—
705C2×C4—416no—
706C2×C4—42no—
707C2×C4—42no—
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—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—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—44no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—44no—
740C2×C4—44no—
741C2×C4—44no—
742C2×C4—816no—
743C2×C4—816no—
744C2×C4C2×#11714yes—
745C2×C4#51818yes—
746C22—24no—
747C22—28no—
748C22—24no—
749C22—28no—
750C22—216no—
751C22—28no—
752C22—28no—
753C22—28no—
754C22—24no—
755C22—24no—
756C22—24no—
757C22—28no—
758C22—28no—
759C22—464no—
760C22—42no—
761C22—42no—
762C22—42no—
763C22—42no—
764C22—42no—
765C22—42no—
766C22—44no—
767C22—44no—
768C22—44no—
769C22—48no—
770C22—48no—
771C22—48no—
772C22—44no—
773C22—44no—
774C22—44no—
775C22—44no—
776C22—44no—
777C22—44no—
778C22—42no—
779C22—42no—
780C22—44no—
781C22—42no—
782C22—44no—
783C22—832no—
784C22—84no—
785C22—82no—
786C22—82no—
787C22#237618yes—
788C22C22×#11711yescharacteristic
789C22C2×#51811yescharacteristic
790C22C2×#51812yes—
791C22C2×#51811yescharacteristic
792C22C2×#52012yes—
793C22#349012yes—
794C22#349012yes—
795C22#351914yes—
796C22#352014yes—
797C22C2×#56011yescharacteristic
798C22C2×#56212yes—
799C22C2×#56311yescharacteristic
800C22#353212yes—
801C22#353212yes—
802C22#353614yes—
803C22#353714yes—
804C4—28no—
805C4—24no—
806C4—44no—
807C4—44no—
808C4—44no—
809C4—42no—
810C4—84no—
811C4—84no—
812C4—84no—
813C4—84no—
814C2—28no—
815C2—44no—
816C2—44no—
817C2—44no—
818C2—82no—
819C2#3417611yescharacteristic
820C2#3419412yes—
821C2C2×#237611yescharacteristic
822C2#3435611yescharacteristic
823C2#3437912yes—
824C2#4572614yes—
825C2#4572712yes—
826C2#4572812yes—
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC24×D4C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #14680C2semidirect
3. #14666C2semidirect
4. #14410C2semidirect
5. #14401C2semidirect
6. #14397C2semidirect
7. #14391C2semidirect
8. #13908C2semidirect
10. #13883C2semidirect
11. #13877C2semidirect
12. #13873C2semidirect
13. #13873C2semidirect
15. #13832C2semidirect
23. C2×#388C22semidirect
24. C2×#388C22semidirect
25. C2×#386C4semidirect
34. C2×#385C22semidirect
39. C2×#380C22semidirect
40. C2×#380C22semidirect
48. #1444C22semidirect
49. #1443C22semidirect
50. #1442C22semidirect
51. #1442C22semidirect
52. #1440C22semidirect
53. #1440C22semidirect
54. #1439C22semidirect
55. #1439C22semidirect
56. #1439C22semidirect
57. #1439C22semidirect
62. #1437C22semidirect
63. #1437C22semidirect
64. #1436C22semidirect
65. #1436C22semidirect
66. #1436C22semidirect
67. #1434C22semidirect
73. C22⋊#95C22semidirect
74. C22⋊#95C22semidirect
75. C22⋊#95C22semidirect
90. C24×C4C2×C4semidirect
107. C22×C22⋊C4C2×C4semidirect
139. #386C2×C4semidirect
140. #386C2×C4semidirect
141. #386C2×C4semidirect
155. C2×#95C2×C4semidirect

Maximal subgroups

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

subgroupindex
C22×#3862
#146802
#146662
#144102
#144012
#143972
#143912
#139082
#139022
#138832
#138772
#138732
#138672
#138322