Finite Group Databasebeta

← #4308803

Subgroups — #4308803

Order 512.

3320 conjugacy classes of subgroups.

The subgroup lattice has 824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2617C211yesmaximal, characteristic
2C22×#388C211yesmaximal, characteristic, complemented
3#16438C214yesmaximal, complemented
4#16427C214yesmaximal, complemented
5#16310C214yesmaximal, complemented
6#16274C214yesmaximal, complemented
7#14946C212yesmaximal, complemented
8#14776C212yesmaximal, complemented
9#14718C212yesmaximal, complemented
10#14718C212yesmaximal, complemented
11#14698C211yesmaximal, characteristic, complemented
12#14697C211yesmaximal, characteristic, complemented
13#14338C211yesmaximal, characteristic, complemented
14#14275C211yesmaximal, characteristic, complemented
15#14271C211yesmaximal, characteristic, complemented
16C22×#121C2211yescharacteristic
17C22×#120C2212yes—
18C23×C4⋊C4C2211yescharacteristic
19C23×C22⋊C4C2211yescharacteristic
20C23×C22⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C42C2211yescharacteristic
23#2617—28no—
24C2×#397C2212yes—
25C2×#397C2214yescomplemented
26C2×#394C2212yes—
27C2×#394C2212yes—
28C2×#394C2214yes—
29C2×#394C2214yes—
30C2×#392C2212yes—
31C2×#390C2212yescomplemented
32C2×#389C2212yescomplemented
33C2×#388—28no—
34C2×#388C2214yes—
35C2×#388C2214yes—
36C2×#386C2212yes—
37C2×#386C2212yes—
38C2×#386C2212yes—
39C2×#386C2212yes—
40C2×#386C2212yes—
41C2×#385C2212yes—
42C2×#385C2212yes—
43C2×#380C2211yescharacteristic
44C2×#380C2211yescharacteristic
45C2×#380C2211yescharacteristic
46C2×#379C2212yes—
47C22×#95C2211yescharacteristic
48C22×#95C2211yescharacteristic
49#1445C2212yescomplemented
50#1445C2214yescomplemented
51#1445C2214yescomplemented
52#1445C2214yescomplemented
53#1444C2212yescomplemented
54#1442C2214yescomplemented
55#1442C2212yescomplemented
56#1441C2214yescomplemented
57#1440C2214yes—
58#1440C2214yes—
59#1439C2214yes—
60#1439C2214yes—
61#1439C2214yes—
62#1439C2214yes—
63#1439C2214yescomplemented
64#1439C2214yescomplemented
65#1439C2214yescomplemented
66#1439C2214yescomplemented
67#1438C2214yes—
68#1438C2214yes—
69#1438C2212yescomplemented
70#1437C2214yescomplemented
71#1436C2214yescomplemented
72C4⋊#95C2212yescomplemented
73C4⋊#95C2212yescomplemented
74C22⋊#95C2212yes—
75C22⋊#95C2212yes—
76C22⋊#95C2212yes—
77C26C2311yescharacteristic
78C23×D4C2312yes—
79C23×D4C2311yescharacteristic
80C23×D4C2312yes—
81C23×D4C2312yes—
82C24×C4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C2×#121—24no—
89C2×#121—24no—
90C2×#121—24no—
91C2×#120—28no—
92C2×#120—44no—
93C2×#120—44no—
94C22×C4⋊C4—24no—
95C22×C4⋊C4—44no—
96C22×C4⋊C4C2311yescharacteristic
97C22×C4⋊C4C2314yes—
98C22×C4⋊C4C2311yescharacteristic
99C22×C4⋊C4C2311yescharacteristic
100C22×C4⋊C4C2314yes—
101C22×C4⋊C4C2312yes—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2314yes—
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⋊C4C2314yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2312yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2314yes—
129C22×C42—24no—
130C22×C42—44no—
131C22×C42C2312yes—
132C22×C42C2312yes—
133#397—28no—
134#397—48no—
135#394—28no—
136#394—28no—
137#394—48no—
138#394—48no—
139#392—28no—
140#390—44no—
141#389—44no—
142#388—216no—
143#388—216no—
144#386—28no—
145#386—44no—
146#386—44no—
147#386—44no—
148#386—44no—
149#385—44no—
150#385—44no—
151#380—24no—
152#380—24no—
153#380—24no—
154#379—44no—
155C2×#95—24no—
156C2×#95—24no—
157C2×#95C2312yes—
158C2×#95C2312yes—
159C2×#95C2312yes—
160C2×#95C2314yes—
161C2×#95C2312yes—
162C2×#95C2312yes—
163C2×#95C2312yes—
164C2×#95C2312yes—
165C2×#95C2314yes—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C25—22no—
178C25—22no—
179C25—22no—
180C25—22no—
181C25—22no—
182C25—22no—
183C25—42no—
184C25—42no—
185C25—42no—
186C25—42no—
187C25C2×D414yes—
188C25C2412yes—
189C25C2412yes—
190C25C2411yescharacteristic
191C22×D4—24no—
192C22×D4—24no—
193C22×D4—24no—
194C22×D4—24no—
195C22×D4—24no—
196C22×D4—24no—
197C22×D4—24no—
198C22×D4—24no—
199C22×D4—24no—
200C22×D4—22no—
201C22×D4—22no—
202C22×D4—22no—
203C22×D4—42no—
204C22×D4—42no—
205C22×D4—42no—
206C22×D4—42no—
207C22×D4—42no—
208C22×D4—42no—
209C22×D4—44no—
210C22×D4—44no—
211C22×D4—44no—
212C22×D4—44no—
213C23×C4—22no—
214C23×C4—22no—
215C23×C4—22no—
216C23×C4—22no—
217C23×C4—24no—
218C23×C4—24no—
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—22no—
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×C4C2×D414yes—
240C23×C4C2×D414yes—
241C23×C4#4114yes—
242C23×C4#4114yes—
243C23×C4C2414yes—
244C23×C4C2414yes—
245C23×C4C2412yes—
246C23×C4C2412yes—
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2412yes—
250C23×C4C2412yes—
251C23×C4C2412yes—
252C23×C4C2412yes—
253C23×C4C2411yescharacteristic
254C23×C4C2411yescharacteristic
255#121—416no—
256#120—432no—
257C2×C4⋊C4—28no—
258C2×C4⋊C4—22no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—28no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—28no—
267C2×C4⋊C4—44no—
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—44no—
275C2×C4⋊C4—44no—
276C2×C4⋊C4—44no—
277C2×C4⋊C4—42no—
278C2×C4⋊C4—42no—
279C2×C4⋊C4—44no—
280C2×C22⋊C4—232no—
281C2×C22⋊C4—24no—
282C2×C22⋊C4—24no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—28no—
286C2×C22⋊C4—28no—
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—24no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—44no—
308C2×C22⋊C4—44no—
309C2×C22⋊C4—42no—
310C2×C22⋊C4—42no—
311C2×C22⋊C4—42no—
312C2×C22⋊C4—42no—
313C2×C22⋊C4—416no—
314C2×C22⋊C4—416no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—44no—
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⋊C4C2×D418yes—
334C2×C22⋊C4C2×D418yes—
335C2×C42—24no—
336C2×C42—24no—
337C2×C42—24no—
338C2×C42—24no—
339C2×C42—42no—
340C2×C42—42no—
341C2×C42—416no—
342#95—28no—
343#95—24no—
344#95—24no—
345#95—24no—
346#95—24no—
347#95—24no—
348#95—24no—
349#95—24no—
350#95—28no—
351#95—44no—
352#95—44no—
353#95—44no—
354#95—44no—
355#95—44no—
356#95—44no—
357#95—44no—
358#95—44no—
359#95—44no—
360#95—44no—
361#95—44no—
362C24—22no—
363C24—22no—
364C24—22no—
365C24—22no—
366C24—28no—
367C24—22no—
368C24—22no—
369C24—24no—
370C24—24no—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—24no—
376C24—24no—
377C24—28no—
378C24—28no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—24no—
383C24—24no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—24no—
389C24—24no—
390C24—44no—
391C24—44no—
392C24—44no—
393C24—44no—
394C24—48no—
395C24—48no—
396C24—48no—
397C24—48no—
398C24—44no—
399C24—44no—
400C24—44no—
401C24—44no—
402C24—84no—
403C24—84no—
404C24—84no—
405C24—84no—
406C24—84no—
407C24—84no—
408C24—84no—
409C24—84no—
410C24C22×D414yes—
411C24C22×D412yes—
412C24C2×#4112yes—
413C24C2×#4112yes—
414C24H(5,𝔽2)12yes—
415C24H(5,𝔽2)12yes—
416C24H(5,𝔽2)12yes—
417C242−1+412yes—
418C24C2511yescharacteristic
419C2×D4—48no—
420C2×D4—48no—
421C2×D4—48no—
422C2×D4—48no—
423C2×D4—48no—
424C2×D4—48no—
425C2×D4—48no—
426C2×D4—48no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—44no—
430C2×D4—82no—
431C2×D4—82no—
432C2×D4—84no—
433C2×D4—84no—
434C2×D4—84no—
435C2×D4—84no—
436C2×D4—84no—
437C2×D4—88no—
438C2×D4—88no—
439C2×D4—88no—
440C2×D4—88no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—28no—
446C22×C4—28no—
447C22×C4—28no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
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—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—22no—
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—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—44no—
516C22×C4—48no—
517C22×C4—44no—
518C22×C4—48no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—84no—
528C22×C4—84no—
529C22×C4—84no—
530C22×C4—84no—
531C22×C4#123116yes—
532C22×C4C22×D414yes—
533C22×C4C22×D412yes—
534C22×C4C22×D412yes—
535C22×C4C2×#4112yes—
536C22×C4C2×#4112yes—
537C22×C4C2×#4112yes—
538C22×C4C2×#4112yes—
539C22×C4H(5,𝔽2)14yes—
540C22×C4H(5,𝔽2)14yes—
541C4⋊C4—416no—
542C4⋊C4—48no—
543C4⋊C4—44no—
544C4⋊C4—82no—
545C4⋊C4—82no—
546C4⋊C4—84no—
547C4⋊C4—88no—
548C4⋊C4—88no—
549C22⋊C4—216no—
550C22⋊C4—216no—
551C22⋊C4—416no—
552C22⋊C4—416no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—48no—
558C22⋊C4—48no—
559C22⋊C4—84no—
560C22⋊C4—84no—
561C22⋊C4—88no—
562C22⋊C4—88no—
563C22⋊C4—88no—
564C22⋊C4—88no—
565C22⋊C4—88no—
566C22⋊C4—88no—
567C42—48no—
568C42—48no—
569C23—24no—
570C23—24no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
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—24no—
592C23—416no—
593C23—416no—
594C23—416no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—44no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—88no—
635C23—88no—
636C23—88no—
637C23—88no—
638C23—816no—
639C23—816no—
640C23—816no—
641C23—816no—
642C23C2×#12314yes—
643C23#53514yes—
644C23#53714yes—
645C23#54014yes—
646C23#54014yes—
647C23#54214yes—
648C23#54214yes—
649C23C23×D411yescharacteristic
650C23C22×#4111yescharacteristic
651C23C22×#4111yescharacteristic
652C23C2×H(5,𝔽2)11yescharacteristic
653C23C2×H(5,𝔽2)11yescharacteristic
654C23C2×H(5,𝔽2)11yescharacteristic
655C23C2×H(5,𝔽2)12yes—
656C23C2×H(5,𝔽2)12yes—
657C23C2×2−1+411yescharacteristic
658C23#58512yes—
659C23#58512yes—
660D4—88no—
661D4—816no—
662D4—816no—
663D4—816no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—416no—
682C2×C4—416no—
683C2×C4—416no—
684C2×C4—416no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
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—42no—
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—88no—
737C2×C4—88no—
738C2×C4C2×#12314yes—
739C2×C4C2×#12314yes—
740C22—24no—
741C22—28no—
742C22—28no—
743C22—24no—
744C22—24no—
745C22—24no—
746C22—24no—
747C22—28no—
748C22—28no—
749C22—24no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—44no—
755C22—44no—
756C22—44no—
757C22—832no—
758C22—84no—
759C22—84no—
760C22—84no—
761C22—84no—
762C22—82no—
763C22—82no—
764C22—84no—
765C22—84no—
766C22—82no—
767C22—82no—
768C22—82no—
769C22—82no—
770C22—84no—
771C22—84no—
772C22—82no—
773C22#262418yes—
774C22C22×#12311yescharacteristic
775C22C2×#53511yescharacteristic
776C22C2×#53711yescharacteristic
777C22C2×#54011yescharacteristic
778C22C2×#54011yescharacteristic
779C22C2×#54211yescharacteristic
780C22C2×#54211yescharacteristic
781C22#345912yes—
782C22#346012yes—
783C22#348411yescharacteristic
784C22#348411yescharacteristic
785C22#348511yescharacteristic
786C22#348511yescharacteristic
787C22#350512yes—
788C22#350612yes—
789C22#353412yes—
790C22#353412yes—
791C22#353612yes—
792C22#353712yes—
793C22#355812yes—
794C22#355812yes—
795C22#356012yes—
796C22#356412yes—
797C4—24no—
798C4—24no—
799C4—44no—
800C4—44no—
801C4—44no—
802C4—82no—
803C4—84no—
804C4—82no—
805C4—82no—
806C4—82no—
807C4—82no—
808C4—84no—
809C2—28no—
810C2—84no—
811C2—162no—
812C2C2×#262411yescharacteristic
813C2#3498311yescharacteristic
814C2#3515211yescharacteristic
815C2#3670611yescharacteristic
816C2#3672111yescharacteristic
817C2#3675912yes—
818C2#3676512yes—
819C2#3696011yescharacteristic
820C2#3696711yescharacteristic
821C2#3745912yes—
822C2#3746112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2617C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#388C2semidirect
3. #16438C2semidirect
4. #16427C2semidirect
5. #16310C2semidirect
6. #16274C2semidirect
7. #14946C2semidirect
8. #14776C2semidirect
9. #14718C2semidirect
10. #14718C2semidirect
11. #14698C2semidirect
12. #14697C2semidirect
13. #14338C2semidirect
14. #14275C2semidirect
15. #14271C2semidirect
25. C2×#397C22semidirect
31. C2×#390C22semidirect
32. C2×#389C22semidirect
49. #1445C22semidirect
50. #1445C22semidirect
51. #1445C22semidirect
52. #1445C22semidirect
53. #1444C22semidirect
54. #1442C22semidirect
55. #1442C22semidirect
56. #1441C22semidirect
63. #1439C22semidirect
64. #1439C22semidirect
65. #1439C22semidirect
66. #1439C22semidirect
69. #1438C22semidirect
70. #1437C22semidirect
71. #1436C22semidirect
72. C4⋊#95C22semidirect
73. C4⋊#95C22semidirect

Maximal subgroups

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

subgroupindex
C2×#26172
C22×#3882
#164382
#164272
#163102
#162742
#149462
#147762
#147182
#146982
#146972
#143382
#142752
#142712