Finite Group Databasebeta

← #555994

Subgroups — #555994

Order 512.

4730 conjugacy classes of subgroups.

The subgroup lattice has 814 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#386C211yesmaximal, characteristic
2#14681C211yesmaximal, characteristic, complemented
3#14680C211yesmaximal, characteristic, complemented
4#14427C214yesmaximal, complemented
5#14391C214yesmaximal, complemented
6#14375C214yesmaximal, complemented
7#14373C214yesmaximal, complemented
8#14349C211yesmaximal, characteristic, complemented
9#14347C211yesmaximal, characteristic, complemented
10#13883C212yesmaximal, complemented
11#13877C212yesmaximal, complemented
12#13873C212yesmaximal, complemented
13#13867C212yesmaximal
14#13794C211yesmaximal, characteristic, complemented
15#13775C211yesmaximal, characteristic, complemented
16C24×D4C2211yescharacteristic
17C25×C4C2211yescharacteristic
18C23×C22⋊C4C2212yes—
19C23×C22⋊C4C2211yescharacteristic
20C23×C22⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C2×#388C2214yescomplemented
23C2×#386C4116yescomplemented
24C2×#386C2214yes—
25C2×#386C2214yes—
26C2×#386C2212yes—
27C2×#386C2212yes—
28C2×#386C2212yes—
29C2×#386C2212yes—
30C2×#385C2214yescomplemented
31C2×#381C2212yescomplemented
32C2×#381C2212yescomplemented
33C2×#380C2212yes—
34C2×#380C2212yes—
35C2×#380C2212yescomplemented
36C2×#380C2212yescomplemented
37C2×#379C2212yes—
38C2×#379C2212yes—
39C2×#379C2212yes—
40C2×C4×C22⋊C4C2212yes—
41C22×#95C2211yescharacteristic
42C22×#95C2211yescharacteristic
43#1443C2214yescomplemented
44#1443C2214yescomplemented
45#1443C2214yescomplemented
46#1442C2214yescomplemented
47#1442C2214yescomplemented
48#1442C2214yescomplemented
49#1440C2214yescomplemented
50#1439C2214yescomplemented
51#1439C2214yescomplemented
52#1439C2214yescomplemented
53#1438C2214yes—
54#1438C2214yes—
55#1437C2214yescomplemented
56#1437C2214yescomplemented
57#1437C2214yescomplemented
58#1436C2214yescomplemented
59#1434C2214yescomplemented
60C22⋊#95C2212yes—
61C22⋊#95C2211yescharacteristic
62C22⋊#95C2211yescharacteristic
63C22⋊#95C2212yes—
64C22⋊#95C2212yes—
65C22⋊#95C2211yescharacteristic
66C22⋊#95C2211yescharacteristic
67C22⋊#95C2212yes—
68C22⋊#95C2212yes—
69C22⋊#95C2214yescomplemented
70C22⋊#95C2212yescomplemented
71C22⋊#95C2214yescomplemented
72C22⋊#95C2214yescomplemented
73C22⋊#95C2212yescomplemented
74C22⋊#95C2212yescomplemented
75C22⋊#95C2212yescomplemented
76C26C2311yescharacteristic
77C26C2311yescharacteristic
78C23×D4—28no—
79C23×D4—44no—
80C23×D4—44no—
81C23×D4C2×C418yes—
82C23×D4C2312yes—
83C23×D4C2312yes—
84C24×C4—44no—
85C24×C4—44no—
86C24×C4—44no—
87C24×C4C2×C418yescomplemented
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C24×C4C2314yes—
97C24×C4C2311yescharacteristic
98C22×C4⋊C4C2314yes—
99C22×C4⋊C4C2314yes—
100C22×C22⋊C4—28no—
101C22×C22⋊C4—44no—
102C22×C22⋊C4—44no—
103C22×C22⋊C4—44no—
104C22×C22⋊C4—44no—
105C22×C22⋊C4—44no—
106C22×C22⋊C4C2×C418yes—
107C22×C22⋊C4C2×C418yes—
108C22×C22⋊C4C2×C418yescomplemented
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⋊C4C2314yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C42C2314yes—
127#388—48no—
128#386—48no—
129#386—48no—
130#386C2×C4116yescomplemented
131#386C2×C4116yescomplemented
132#386C2×C4116yescomplemented
133#386C2×C4116yescomplemented
134#385—48no—
135#381—44no—
136#381—44no—
137#380—44no—
138#380—44no—
139#380—44no—
140#380—44no—
141#379—28no—
142#379—44no—
143#379—44no—
144C4×C22⋊C4—44no—
145C2×#95C2×C418yescomplemented
146C2×#95C2×C418yescomplemented
147C2×#95C2314yes—
148C2×#95C2312yes—
149C2×#95C2312yes—
150C2×#95C2312yes—
151C2×#95C2312yes—
152C2×#95C2314yes—
153C2×#95C2314yes—
154C2×#95C2314yes—
155C2×#95C2312yes—
156C2×#95C2312yes—
157C2×#95C2312yes—
158C2×#95C2312yes—
159C2×#95C2314yes—
160C2×#95C2314yes—
161C2×#95C2314yes—
162C2×#95C2314yes—
163C2×#95C2314yes—
164C2×#95C2314yes—
165C2×#95C2314yes—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2312yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2312yes—
172C25—24no—
173C25—24no—
174C25—24no—
175C25—24no—
176C25—22no—
177C25—22no—
178C25—24no—
179C25—22no—
180C25—22no—
181C25—42no—
182C25—42no—
183C25—42no—
184C25—42no—
185C25—42no—
186C25—42no—
187C25C22×C414yes—
188C25C22×C414yes—
189C25#4118yes—
190C25C2412yes—
191C25C2411yescharacteristic
192C25C2411yescharacteristic
193C25C2411yescharacteristic
194C22×D4—232no—
195C22×D4—24no—
196C22×D4—24no—
197C22×D4—24no—
198C22×D4—24no—
199C22×D4—28no—
200C22×D4—28no—
201C22×D4—44no—
202C22×D4—44no—
203C22×D4—416no—
204C22×D4—416no—
205C22×D4—464no—
206C22×D4C22×C418yes—
207C22×D4C22×C418yes—
208C23×C4—24no—
209C23×C4—24no—
210C23×C4—24no—
211C23×C4—24no—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—22no—
215C23×C4—22no—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—28no—
220C23×C4—416no—
221C23×C4—416no—
222C23×C4—416no—
223C23×C4—42no—
224C23×C4—42no—
225C23×C4—42no—
226C23×C4—42no—
227C23×C4—42no—
228C23×C4—42no—
229C23×C4—42no—
230C23×C4—42no—
231C23×C4—42no—
232C23×C4—42no—
233C23×C4—42no—
234C23×C4—42no—
235C23×C4—42no—
236C23×C4—42no—
237C23×C4—42no—
238C23×C4—42no—
239C23×C4—44no—
240C23×C4—44no—
241C23×C4—42no—
242C23×C4—44no—
243C23×C4—44no—
244C23×C4—44no—
245C23×C4—44no—
246C23×C4—464no—
247C23×C4C22×C414yes—
248C23×C4C22×C414yes—
249C23×C4C22×C414yes—
250C23×C4C22×C414yes—
251C23×C4C22×C414yes—
252C23×C4C22×C414yes—
253C23×C4C22×C414yes—
254C23×C4C22×C414yes—
255C23×C4C22×C414yes—
256C23×C4C2414yes—
257C23×C4C2414yes—
258C23×C4C2414yes—
259C23×C4C2414yes—
260C23×C4C2412yes—
261C23×C4C2412yes—
262C23×C4C2411yescharacteristic
263C23×C4C2411yescharacteristic
264C23×C4C2411yescharacteristic
265C23×C4C2412yes—
266C23×C4C2411yescharacteristic
267C2×C4⋊C4—28no—
268C2×C4⋊C4—44no—
269C2×C4⋊C4—44no—
270C2×C4⋊C4—44no—
271C2×C4⋊C4—44no—
272C2×C4⋊C4—44no—
273C2×C22⋊C4—28no—
274C2×C22⋊C4—28no—
275C2×C22⋊C4—28no—
276C2×C22⋊C4—24no—
277C2×C22⋊C4—24no—
278C2×C22⋊C4—24no—
279C2×C22⋊C4—24no—
280C2×C22⋊C4—24no—
281C2×C22⋊C4—24no—
282C2×C22⋊C4—24no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—28no—
290C2×C22⋊C4—28no—
291C2×C22⋊C4—28no—
292C2×C22⋊C4—28no—
293C2×C22⋊C4—28no—
294C2×C22⋊C4—416no—
295C2×C22⋊C4—416no—
296C2×C22⋊C4—416no—
297C2×C22⋊C4—42no—
298C2×C22⋊C4—42no—
299C2×C22⋊C4—44no—
300C2×C22⋊C4—44no—
301C2×C22⋊C4—42no—
302C2×C22⋊C4—42no—
303C2×C22⋊C4—44no—
304C2×C22⋊C4—44no—
305C2×C22⋊C4—432no—
306C2×C22⋊C4—44no—
307C2×C22⋊C4—44no—
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—44no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4C22×C418yes—
319C2×C22⋊C4C22×C418yes—
320C2×C22⋊C4C22×C418yes—
321C2×C22⋊C4C22×C418yes—
322C2×C22⋊C4C22×C418yes—
323C2×C22⋊C4C22×C418yes—
324C2×C42—44no—
325C2×C42—44no—
326C2×C42—44no—
327#95—28no—
328#95—44no—
329#95—44no—
330#95—44no—
331#95—44no—
332#95—42no—
333#95—42no—
334#95—42no—
335#95—42no—
336#95—42no—
337#95—42no—
338#95—42no—
339#95—44no—
340#95—42no—
341#95—44no—
342#95—44no—
343#95—44no—
344#95—44no—
345#95—44no—
346#95—44no—
347#95—44no—
348#95C22×C418yes—
349#95C22×C418yes—
350#95C22×C418yes—
351#95C22×C418yes—
352C24—22no—
353C24—22no—
354C24—22no—
355C24—22no—
356C24—232no—
357C24—28no—
358C24—28no—
359C24—28no—
360C24—22no—
361C24—22no—
362C24—24no—
363C24—22no—
364C24—21no—
365C24—21no—
366C24—22no—
367C24—22no—
368C24—22no—
369C24—22no—
370C24—22no—
371C24—22no—
372C24—22no—
373C24—24no—
374C24—24no—
375C24—22no—
376C24—22no—
377C24—21no—
378C24—21no—
379C24—22no—
380C24—22no—
381C24—24no—
382C24—28no—
383C24—28no—
384C24—216no—
385C24—216no—
386C24—28no—
387C24—28no—
388C24—44no—
389C24—44no—
390C24—44no—
391C24—44no—
392C24—44no—
393C24—416no—
394C24—44no—
395C24—416no—
396C24—416no—
397C24—416no—
398C24—48no—
399C24—48no—
400C24—48no—
401C24—48no—
402C24—416no—
403C24—48no—
404C24—48no—
405C24—88no—
406C24—88no—
407C24—84no—
408C24—84no—
409C24—84no—
410C24—84no—
411C24#117116yes—
412C24C23×C414yes—
413C24C23×C412yes—
414C24C23×C412yes—
415C24C23×C412yes—
416C24C2×#4114yes—
417C24C2×#4114yes—
418C24C2×#4114yes—
419C24H(5,𝔽2)14yes—
420C24H(5,𝔽2)14yes—
421C24H(5,𝔽2)14yes—
422C24H(5,𝔽2)12yes—
423C242−1+412yes—
424C24C2511yescharacteristic
425C2×D4—216no—
426C2×D4—216no—
427C2×D4—216no—
428C2×D4—216no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—416no—
432C2×D4—416no—
433C2×D4—416no—
434C2×D4—416no—
435C2×D4—4128no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—28no—
439C22×C4—28no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—28no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—28no—
465C22×C4—28no—
466C22×C4—28no—
467C22×C4—28no—
468C22×C4—28no—
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—24no—
482C22×C4—24no—
483C22×C4—24no—
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—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—416no—
515C22×C4—416no—
516C22×C4—416no—
517C22×C4—416no—
518C22×C4—416no—
519C22×C4—416no—
520C22×C4—4128no—
521C22×C4—416no—
522C22×C4—416no—
523C22×C4—88no—
524C22×C4—84no—
525C22×C4—84no—
526C22×C4—88no—
527C22×C4—88no—
528C22×C4—88no—
529C22×C4—88no—
530C22×C4—88no—
531C22×C4—88no—
532C22×C4C23×C414yes—
533C22×C4C23×C414yes—
534C22×C4C23×C414yes—
535C22×C4C23×C412yes—
536C22×C4C23×C412yes—
537C22×C4C23×C412yes—
538C22×C4C23×C412yes—
539C22×C4H(5,𝔽2)14yes—
540C4⋊C4—88no—
541C4⋊C4—88no—
542C22⋊C4—216no—
543C22⋊C4—216no—
544C22⋊C4—48no—
545C22⋊C4—48no—
546C22⋊C4—48no—
547C22⋊C4—48no—
548C22⋊C4—416no—
549C22⋊C4—48no—
550C22⋊C4—48no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—88no—
554C22⋊C4—88no—
555C22⋊C4—88no—
556C22⋊C4—88no—
557C22⋊C4—88no—
558C22⋊C4—88no—
559C42—88no—
560C23—22no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—28no—
565C23—28no—
566C23—28no—
567C23—28no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—232no—
573C23—22no—
574C23—22no—
575C23—24no—
576C23—22no—
577C23—24no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—28no—
596C23—28no—
597C23—28no—
598C23—28no—
599C23—28no—
600C23—28no—
601C23—28no—
602C23—24no—
603C23—28no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—232no—
608C23—416no—
609C23—416no—
610C23—416no—
611C23—416no—
612C23—416no—
613C23—416no—
614C23—416no—
615C23—464no—
616C23—464no—
617C23—416no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—42no—
631C23—44no—
632C23—42no—
633C23—44no—
634C23—42no—
635C23—44no—
636C23—44no—
637C23—42no—
638C23—88no—
639C23—88no—
640C23—88no—
641C23—88no—
642C23—832no—
643C23—832no—
644C23C2×#11718yes—
645C23C2×#11714yes—
646C23#51814yes—
647C23#51814yes—
648C23#51814yes—
649C23#52014yes—
650C23#53818yes—
651C23#53918yes—
652C23C24×C411yescharacteristic
653C23C22×#4112yes—
654C23C2×H(5,𝔽2)12yes—
655C23C2×H(5,𝔽2)12yes—
656C23C2×H(5,𝔽2)12yes—
657C23C2×H(5,𝔽2)12yes—
658C23C2×H(5,𝔽2)11yescharacteristic
659C23C2×2−1+411yescharacteristic
660C23#58512yes—
661D4—432no—
662D4—432no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—28no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—24no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—416no—
685C2×C4—416no—
686C2×C4—416no—
687C2×C4—416no—
688C2×C4—416no—
689C2×C4—416no—
690C2×C4—416no—
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—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—88no—
729C2×C4—88no—
730C2×C4—832no—
731C2×C4#51814yes—
732C22—24no—
733C22—24no—
734C22—24no—
735C22—24no—
736C22—24no—
737C22—24no—
738C22—216no—
739C22—216no—
740C22—28no—
741C22—24no—
742C22—24no—
743C22—24no—
744C22—24no—
745C22—24no—
746C22—24no—
747C22—28no—
748C22—28no—
749C22—464no—
750C22—42no—
751C22—42no—
752C22—42no—
753C22—44no—
754C22—42no—
755C22—44no—
756C22—42no—
757C22—44no—
758C22—42no—
759C22—44no—
760C22—42no—
761C22—42no—
762C22—48no—
763C22—48no—
764C22—48no—
765C22—48no—
766C22—48no—
767C22—48no—
768C22—48no—
769C22—48no—
770C22—832no—
771C22#231818yes—
772C22C22×#11711yescharacteristic
773C22C2×#51811yescharacteristic
774C22C2×#51811yescharacteristic
775C22C2×#51811yescharacteristic
776C22C2×#51811yescharacteristic
777C22C2×#52011yescharacteristic
778C22#342811yescharacteristic
779C22C2×#53812yes—
780C22C2×#53912yes—
781C22#349014yes—
782C22#350514yes—
783C22#353214yes—
784C22#353414yes—
785C22#353412yes—
786C22#353512yes—
787C22#353612yes—
788C22#353712yes—
789C4—24no—
790C4—42no—
791C4—42no—
792C4—42no—
793C4—44no—
794C4—44no—
795C4—44no—
796C4—84no—
797C4—84no—
798C4—84no—
799C4—84no—
800C2—28no—
801C2—44no—
802C2—44no—
803C2—48no—
804C2C2×#231811yescharacteristic
805C2#3417611yescharacteristic
806C2#3418511yescharacteristic
807C2#3435611yescharacteristic
808C2#3435811yescharacteristic
809C2#3437611yescharacteristic
810C2#3437911yescharacteristic
811C2#3677514yes—
812C2#3677614yes—
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. #14681C2semidirect
3. #14680C2semidirect
4. #14427C2semidirect
5. #14391C2semidirect
6. #14375C2semidirect
7. #14373C2semidirect
8. #14349C2semidirect
9. #14347C2semidirect
10. #13883C2semidirect
11. #13877C2semidirect
12. #13873C2semidirect
14. #13794C2semidirect
15. #13775C2semidirect
22. C2×#388C22semidirect
23. C2×#386C4semidirect
30. C2×#385C22semidirect
31. C2×#381C22semidirect
32. C2×#381C22semidirect
35. C2×#380C22semidirect
36. C2×#380C22semidirect
43. #1443C22semidirect
44. #1443C22semidirect
45. #1443C22semidirect
46. #1442C22semidirect
47. #1442C22semidirect
48. #1442C22semidirect
49. #1440C22semidirect
50. #1439C22semidirect
51. #1439C22semidirect
52. #1439C22semidirect
55. #1437C22semidirect
56. #1437C22semidirect
57. #1437C22semidirect
58. #1436C22semidirect
59. #1434C22semidirect
69. C22⋊#95C22semidirect
70. C22⋊#95C22semidirect
71. C22⋊#95C22semidirect
72. C22⋊#95C22semidirect
73. C22⋊#95C22semidirect
74. C22⋊#95C22semidirect
75. C22⋊#95C22semidirect
87. C24×C4C2×C4semidirect
108. C22×C22⋊C4C2×C4semidirect
130. #386C2×C4semidirect
131. #386C2×C4semidirect
132. #386C2×C4semidirect
133. #386C2×C4semidirect
145. C2×#95C2×C4semidirect
146. 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
#146812
#146802
#144272
#143912
#143752
#143732
#143492
#143472
#138832
#138772
#138732
#138672
#137942
#137752