Finite Group Databasebeta

← #628043

Subgroups — #628043

Order 512.

3994 conjugacy classes of subgroups.

The subgroup lattice has 841 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2312C211yesmaximal, characteristic, complemented
2C22×#390C211yesmaximal, characteristic
3#15445C214yesmaximal, complemented
4#15373C214yesmaximal, complemented
5#15348C214yesmaximal, complemented
6#15346C214yesmaximal, complemented
7#14727C212yesmaximal, complemented
8#14724C212yesmaximal
9#14697C211yesmaximal, characteristic, complemented
10#14697C211yesmaximal, characteristic, complemented
11#14338C211yesmaximal, characteristic, complemented
12#14338C211yesmaximal, characteristic, complemented
13#14338C211yesmaximal, characteristic, complemented
14#14039C212yesmaximal, complemented
15#13991C212yesmaximal, complemented
16C24×D4C2211yescharacteristic
17C23×C4⋊C4C2211yescharacteristic
18C23×C22⋊C4C2211yescharacteristic
19C23×C22⋊C4C2211yescharacteristic
20C23×C22⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C42C2211yescharacteristic
23C2×#397C2214yescomplemented
24C2×#394C2214yes—
25C2×#394C2214yes—
26#2312—28no—
27C2×#390—28no—
28C2×#390C2214yes—
29C2×#390C2214yes—
30C2×#389C2212yescomplemented
31C2×#389C2212yescomplemented
32C2×#388C2212yescomplemented
33C2×#388C2212yescomplemented
34C2×#388C2212yescomplemented
35C2×#388C2212yescomplemented
36C2×#388C2214yescomplemented
37C2×#387C2214yescomplemented
38C2×#385C2212yes—
39C2×#385C2212yes—
40C2×#380C2211yescharacteristic
41C2×#380C2211yescharacteristic
42C2×#380C2211yescharacteristic
43C2×#380C2211yescharacteristic
44C2×#379C2212yes—
45C2×#379C2212yes—
46C2×#379C2212yes—
47C2×#379C2212yes—
48C2×C4×C22⋊C4C2212yes—
49#1442C2214yescomplemented
50#1441C2214yescomplemented
51#1440C2214yescomplemented
52#1440C2214yescomplemented
53#1440C2214yescomplemented
54#1439C2212yescomplemented
55#1439C2214yescomplemented
56#1439C2214yescomplemented
57#1439C2212yescomplemented
58#1439C2214yescomplemented
59#1439C2214yescomplemented
60#1439C2212yescomplemented
61#1439C2212yescomplemented
62#1439C2214yescomplemented
63#1439C2214yescomplemented
64#1438C2214yes—
65#1438C2214yes—
66#1437C2214yescomplemented
67#1436C2214yescomplemented
68#1436C2214yescomplemented
69#1436C2214yescomplemented
70C4⋊#95C2212yescomplemented
71C4⋊#95C2212yescomplemented
72C22⋊#95C2212yes—
73C22⋊#95C2212yes—
74C22⋊#95C2212yes—
75C22⋊#95C2212yes—
76C22⋊#95C2212yes—
77C26C2311yescharacteristic
78C26C2311yescharacteristic
79C23×D4—24no—
80C23×D4—24no—
81C23×D4—24no—
82C23×D4—44no—
83C23×D4—44no—
84C23×D4C2314yes—
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C22×C4⋊C4—24no—
91C22×C4⋊C4—44no—
92C22×C4⋊C4C2314yes—
93C22×C4⋊C4C2314yes—
94C22×C4⋊C4C2314yes—
95C22×C4⋊C4C2311yescharacteristic
96C22×C4⋊C4C2311yescharacteristic
97C22×C4⋊C4C2312yes—
98C22×C4⋊C4C2312yes—
99C22×C4⋊C4C2311yescharacteristic
100C22×C4⋊C4C2311yescharacteristic
101C22×C22⋊C4—24no—
102C22×C22⋊C4—24no—
103C22×C22⋊C4—24no—
104C22×C22⋊C4—24no—
105C22×C22⋊C4—24no—
106C22×C22⋊C4—24no—
107C22×C22⋊C4—24no—
108C22×C22⋊C4—44no—
109C22×C22⋊C4—44no—
110C22×C22⋊C4D418yes—
111C22×C22⋊C4C2312yes—
112C22×C22⋊C4C2312yes—
113C22×C22⋊C4C2312yes—
114C22×C22⋊C4C2312yes—
115C22×C22⋊C4C2312yes—
116C22×C22⋊C4C2312yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2314yes—
131C22×C42—24no—
132C22×C42—44no—
133C22×C42C2312yes—
134C22×C42C2312yes—
135C22×C42C2312yes—
136C22×C42C2312yes—
137#397—48no—
138#394—48no—
139#394—48no—
140#390—216no—
141#390—216no—
142#389—44no—
143#389—44no—
144#388—28no—
145#388—28no—
146#388—28no—
147#388—28no—
148#388—48no—
149#387—48no—
150#385—28no—
151#385—44no—
152#380—24no—
153#380—24no—
154#380—24no—
155#380—24no—
156#379—28no—
157#379—28no—
158#379—44no—
159#379—44no—
160C4×C22⋊C4—28no—
161C2×#95C2314yes—
162C2×#95C2314yes—
163C2×#95C2314yes—
164C2×#95C2314yes—
165C2×#95C2312yes—
166C2×#95C2312yes—
167C2×#95C2312yes—
168C2×#95C2312yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C25—22no—
180C25—22no—
181C25—22no—
182C25—22no—
183C25—22no—
184C25—22no—
185C25—22no—
186C25—22no—
187C25—22no—
188C25—22no—
189C25—22no—
190C25—22no—
191C25—42no—
192C25—42no—
193C25—42no—
194C25—42no—
195C25—42no—
196C25—42no—
197C25—42no—
198C25—42no—
199C25C2×D414yes—
200C25#4114yes—
201C25C2412yes—
202C25C2412yes—
203C25C2411yescharacteristic
204C22×D4—232no—
205C22×D4—28no—
206C22×D4—28no—
207C22×D4—28no—
208C22×D4—28no—
209C22×D4—28no—
210C22×D4—44no—
211C22×D4—44no—
212C22×D4—416no—
213C22×D4—416no—
214C22×D4—432no—
215C22×D4—432no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—24no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—42no—
230C23×C4—42no—
231C23×C4—42no—
232C23×C4—42no—
233C23×C4—42no—
234C23×C4—42no—
235C23×C4—42no—
236C23×C4C2×D414yes—
237C23×C4C2×D414yes—
238C23×C4#4114yes—
239C23×C4#4114yes—
240C23×C4#4114yes—
241C23×C4C2412yes—
242C23×C4C2412yes—
243C23×C4C2414yes—
244C23×C4C2414yes—
245C23×C4C2412yes—
246C23×C4C2412yes—
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2411yescharacteristic
251C23×C4C2411yescharacteristic
252C23×C4C2412yes—
253C2×C4⋊C4—28no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—24no—
256C2×C4⋊C4—28no—
257C2×C4⋊C4—28no—
258C2×C4⋊C4—28no—
259C2×C4⋊C4—28no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—28no—
265C2×C4⋊C4—44no—
266C2×C4⋊C4—42no—
267C2×C4⋊C4—42no—
268C2×C4⋊C4—42no—
269C2×C4⋊C4—42no—
270C2×C4⋊C4—416no—
271C2×C4⋊C4—42no—
272C2×C4⋊C4—42no—
273C2×C4⋊C4—44no—
274C2×C4⋊C4—42no—
275C2×C4⋊C4—42no—
276C2×C4⋊C4—44no—
277C2×C22⋊C4—232no—
278C2×C22⋊C4—24no—
279C2×C22⋊C4—24no—
280C2×C22⋊C4—24no—
281C2×C22⋊C4—24no—
282C2×C22⋊C4—28no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—28no—
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—28no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—44no—
311C2×C22⋊C4—44no—
312C2×C22⋊C4—44no—
313C2×C22⋊C4—44no—
314C2×C22⋊C4—416no—
315C2×C22⋊C4—416no—
316C2×C22⋊C4—416no—
317C2×C22⋊C4—44no—
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⋊C4C2×D418yes—
336C2×C22⋊C4C2×D418yes—
337C2×C42—24no—
338C2×C42—24no—
339C2×C42—24no—
340C2×C42—24no—
341C2×C42—24no—
342C2×C42—24no—
343C2×C42—42no—
344C2×C42—42no—
345C2×C42—416no—
346C2×C42—44no—
347C2×C42—44no—
348#95—24no—
349#95—24no—
350#95—24no—
351#95—24no—
352#95—24no—
353#95—24no—
354#95—28no—
355#95—28no—
356#95—28no—
357#95—28no—
358#95—44no—
359#95—44no—
360#95—44no—
361#95—44no—
362#95—44no—
363#95—44no—
364#95—44no—
365#95—44no—
366C24—22no—
367C24—22no—
368C24—22no—
369C24—22no—
370C24—28no—
371C24—28no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—24no—
381C24—24no—
382C24—22no—
383C24—22no—
384C24—24no—
385C24—24no—
386C24—24no—
387C24—24no—
388C24—22no—
389C24—22no—
390C24—24no—
391C24—24no—
392C24—28no—
393C24—28no—
394C24—28no—
395C24—28no—
396C24—44no—
397C24—44no—
398C24—44no—
399C24—48no—
400C24—44no—
401C24—48no—
402C24—44no—
403C24—48no—
404C24—48no—
405C24—44no—
406C24—44no—
407C24—48no—
408C24—48no—
409C24—44no—
410C24—48no—
411C24—48no—
412C24—44no—
413C24—44no—
414C24—44no—
415C24—44no—
416C24—44no—
417C24—44no—
418C24—44no—
419C24—44no—
420C24—84no—
421C24—84no—
422C24—84no—
423C24—84no—
424C24—84no—
425C24—84no—
426C24—84no—
427C24—84no—
428C24—84no—
429C24—84no—
430C24—84no—
431C24—84no—
432C24—84no—
433C24—84no—
434C24—84no—
435C24—84no—
436C24C22×D414yes—
437C24C22×D412yes—
438C24C2×#4114yes—
439C24C2×#4112yes—
440C24C2×#4112yes—
441C24C2×#4112yes—
442C24C2×#4112yes—
443C24H(5,𝔽2)12yes—
444C242−1+412yes—
445C24C2511yescharacteristic
446C2×D4—232no—
447C2×D4—416no—
448C2×D4—416no—
449C2×D4—416no—
450C2×D4—416no—
451C2×D4—4128no—
452C2×D4—416no—
453C2×D4—416no—
454C22×C4—28no—
455C22×C4—28no—
456C22×C4—216no—
457C22×C4—28no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—216no—
467C22×C4—28no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—28no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—22no—
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—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—48no—
525C22×C4—48no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—84no—
532C22×C4—84no—
533C22×C4—84no—
534C22×C4—84no—
535C22×C4#123116yes—
536C22×C4C22×D414yes—
537C22×C4C22×D412yes—
538C22×C4C22×D412yes—
539C22×C4C2×#4112yes—
540C22×C4C2×#4112yes—
541C22×C4C2×#4112yes—
542C22×C4C2×#4112yes—
543C22×C4C2×#4114yes—
544C22×C4H(5,𝔽2)14yes—
545C22×C4H(5,𝔽2)14yes—
546C22×C4H(5,𝔽2)14yes—
547C4⋊C4—416no—
548C4⋊C4—48no—
549C4⋊C4—48no—
550C4⋊C4—416no—
551C4⋊C4—82no—
552C4⋊C4—82no—
553C4⋊C4—82no—
554C4⋊C4—82no—
555C4⋊C4—88no—
556C22⋊C4—216no—
557C22⋊C4—216no—
558C22⋊C4—416no—
559C22⋊C4—416no—
560C22⋊C4—416no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—84no—
568C22⋊C4—84no—
569C22⋊C4—84no—
570C22⋊C4—84no—
571C22⋊C4—88no—
572C22⋊C4—88no—
573C22⋊C4—88no—
574C22⋊C4—88no—
575C22⋊C4—88no—
576C42—48no—
577C42—48no—
578C42—84no—
579C42—84no—
580C23—24no—
581C23—24no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—28no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—28no—
608C23—416no—
609C23—416no—
610C23—416no—
611C23—416no—
612C23—42no—
613C23—42no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—44no—
638C23—416no—
639C23—416no—
640C23—44no—
641C23—44no—
642C23—44no—
643C23—44no—
644C23—44no—
645C23—44no—
646C23—44no—
647C23—44no—
648C23—88no—
649C23—88no—
650C23—88no—
651C23—816no—
652C23—816no—
653C23—88no—
654C23—88no—
655C23—816no—
656C23—816no—
657C23—816no—
658C23—816no—
659C23—88no—
660C23—88no—
661C23—816no—
662C23—816no—
663C23—88no—
664C23C2×#12314yes—
665C23#52514yes—
666C23#53714yes—
667C23#55214yes—
668C23#55314yes—
669C23#55514yes—
670C23#55614yes—
671C23C23×D411yescharacteristic
672C23C22×#4111yescharacteristic
673C23C22×#4111yescharacteristic
674C23C22×#4111yescharacteristic
675C23C22×#4111yescharacteristic
676C23C2×H(5,𝔽2)11yescharacteristic
677C23C2×H(5,𝔽2)12yes—
678C23C2×H(5,𝔽2)12yes—
679C23C2×H(5,𝔽2)12yes—
680C23C2×2−1+411yescharacteristic
681C23#58512yes—
682D4—464no—
683C2×C4—232no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—24no—
693C2×C4—24no—
694C2×C4—24no—
695C2×C4—24no—
696C2×C4—24no—
697C2×C4—24no—
698C2×C4—24no—
699C2×C4—24no—
700C2×C4—24no—
701C2×C4—24no—
702C2×C4—24no—
703C2×C4—24no—
704C2×C4—416no—
705C2×C4—416no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—42no—
731C2×C4—42no—
732C2×C4—42no—
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—44no—
743C2×C4—44no—
744C2×C4—44no—
745C2×C4—44no—
746C2×C4—44no—
747C2×C4—44no—
748C2×C4—44no—
749C2×C4—44no—
750C2×C4—44no—
751C2×C4—88no—
752C2×C4—88no—
753C2×C4C2×#12314yes—
754C2×C4C2×#12314yes—
755C2×C4#53818yes—
756C22—24no—
757C22—28no—
758C22—28no—
759C22—24no—
760C22—24no—
761C22—28no—
762C22—28no—
763C22—24no—
764C22—24no—
765C22—24no—
766C22—44no—
767C22—44no—
768C22—44no—
769C22—48no—
770C22—48no—
771C22—44no—
772C22—44no—
773C22—44no—
774C22—44no—
775C22—44no—
776C22—44no—
777C22—44no—
778C22—832no—
779C22—832no—
780C22—82no—
781C22—84no—
782C22—84no—
783C22—84no—
784C22—84no—
785C22—82no—
786C22—82no—
787C22—84no—
788C22—84no—
789C22—82no—
790C22#248518yes—
791C22C22×#12311yescharacteristic
792C22C2×#52511yescharacteristic
793C22C2×#53711yescharacteristic
794C22C2×#53812yes—
795C22#345912yes—
796C22C2×#55211yescharacteristic
797C22C2×#55311yescharacteristic
798C22C2×#55511yescharacteristic
799C22C2×#55611yescharacteristic
800C22#348411yescharacteristic
801C22#348411yescharacteristic
802C22#348411yescharacteristic
803C22#348511yescharacteristic
804C22#349012yes—
805C22#350512yes—
806C22#350512yes—
807C22#350612yes—
808C22#350812yes—
809C22#350812yes—
810C22#353612yes—
811C22#353712yes—
812C22#355812yes—
813C22#356112yes—
814C4—24no—
815C4—24no—
816C4—28no—
817C4—44no—
818C4—44no—
819C4—84no—
820C4—82no—
821C4—82no—
822C4—84no—
823C4—82no—
824C4—82no—
825C4—82no—
826C2—28no—
827C2—84no—
828C2—84no—
829C2C2×#248511yescharacteristic
830C2#3498611yescharacteristic
831C2#3498811yescharacteristic
832C2#3535111yescharacteristic
833C2#3555411yescharacteristic
834C2#3670611yescharacteristic
835C2#3695711yescharacteristic
836C2#3950312yes—
837C2#3951112yes—
838C2#3954012yes—
839C2#3954812yes—
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×#2312C2semidirect
3. #15445C2semidirect
4. #15373C2semidirect
5. #15348C2semidirect
6. #15346C2semidirect
7. #14727C2semidirect
9. #14697C2semidirect
10. #14697C2semidirect
11. #14338C2semidirect
12. #14338C2semidirect
13. #14338C2semidirect
14. #14039C2semidirect
15. #13991C2semidirect
23. C2×#397C22semidirect
30. C2×#389C22semidirect
31. C2×#389C22semidirect
32. C2×#388C22semidirect
33. C2×#388C22semidirect
34. C2×#388C22semidirect
35. C2×#388C22semidirect
36. C2×#388C22semidirect
37. C2×#387C22semidirect
49. #1442C22semidirect
50. #1441C22semidirect
51. #1440C22semidirect
52. #1440C22semidirect
53. #1440C22semidirect
54. #1439C22semidirect
55. #1439C22semidirect
56. #1439C22semidirect
57. #1439C22semidirect
58. #1439C22semidirect
59. #1439C22semidirect
60. #1439C22semidirect
61. #1439C22semidirect
62. #1439C22semidirect
63. #1439C22semidirect
66. #1437C22semidirect
67. #1436C22semidirect
68. #1436C22semidirect
69. #1436C22semidirect
70. C4⋊#95C22semidirect
71. C4⋊#95C22semidirect

Maximal subgroups

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

subgroupindex
C2×#23122
C22×#3902
#154452
#153732
#153482
#153462
#147272
#147242
#146972
#143382
#140392
#139912