Finite Group Databasebeta

← #30620327

Subgroups — #30620327

Order 15616.

1132 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462327C212yesmaximal, complemented
2#21462010C212yesmaximal, complemented
3#21461843C212yesmaximal
4#21461843C212yesmaximal
5#21461717C211yesmaximal, characteristic, complemented
6#21461716C211yesmaximal, characteristic, complemented
7#21461682C211yesmaximal, characteristic
8#21461564C211yesmaximal, characteristic
9#21461519C211yesmaximal, characteristic, complemented
10#21461518C211yesmaximal, characteristic, complemented
11C2×#16840444C211yesmaximal, characteristic
12C2×#14519856C2212yes—
13C2×#14519856C2212yes—
14C2×#14519836C2212yes—
15C2×#14519836C2212yes—
16#16840713—22no—
17#16840711—22no—
18#16840711—22no—
19#16840705C2212yes—
20#16840705C2212yes—
21#16840704C2212yes—
22C4⋊C4×#6923—22no—
23C4×C22⋊#6923C2212yes—
24#16840640C2211yescharacteristic
25#16840640C2212yes—
26#16840640C2211yescharacteristic
27#16840640C2212yes—
28#16840640C2211yescharacteristic
29#16840640C2211yescharacteristic
30#16840640C2212yes—
31#16840640C2212yes—
32#16840444—22no—
33#16840444—22no—
34#16840444—22no—
35#16840444—22no—
36C2×#14519772C411yescharacteristic, complemented
37C2×#14519772C411yescharacteristic, complemented
38C2×#14519767C411yescharacteristic, complemented
39C2×#14519767C411yescharacteristic, complemented
40C2×#14519762C2211yescharacteristic
41C2×#14519762C2211yescharacteristic
42C2×#14519755C411yescharacteristic, complemented
43C2×#14519755C2211yescharacteristic
44C2×#14519742C411yescharacteristic, complemented
45C2×#14519739C2211yescharacteristic
46C2×#14519735C2211yescharacteristic
47C2×#14519734C411yescharacteristic, complemented
48C2×#14519734C2211yescharacteristic
49C2×C4⋊C4×D61C2211yescharacteristic
50C2×#125×C61C411yescharacteristic, complemented
51#14519856—24no—
52#14519856—24no—
53#14519856—42no—
54#14519856—42no—
55C2×C4⋊#6923—22no—
56C2×C4⋊#6923—22no—
57C2×C4⋊#6923—22no—
58C2×C22⋊#6923C2312yes—
59C2×C22⋊#6923C2312yes—
60C2×C22⋊#6923C2312yes—
61C2×C22⋊#6923C2312yes—
62C2×C4×#6923—22no—
63C2×C4×#6923—22no—
64C2×C4×#6923—22no—
65#14519836—24no—
66#14519836—42no—
67(C2×#6923)⋊C4—22no—
68(C2×#6923)⋊C4—22no—
69(C2×#6923)⋊C4—22no—
70(C2×#6923)⋊C4—22no—
71(C2×#6923)⋊C4—22no—
72(C2×#6923)⋊C4—22no—
73C22×Dic122C2×C411yescharacteristic
74C22×D244C2311yescharacteristic
75C22×C4×D61C2×C411yescharacteristic
76C22×C4×D61C2311yescharacteristic
77C22×C4×D61C2311yescharacteristic
78C22×C4×D61C2311yescharacteristic
79#14519772—22no—
80#14519772—22no—
81#14519772—22no—
82#14519772—22no—
83#14519767—22no—
84#14519767—22no—
85#14519767—22no—
86#14519767—22no—
87#14519762—22no—
88#14519762—22no—
89#14519762—22no—
90#14519762—22no—
91#14519755—22no—
92#14519755—22no—
93#14519755—22no—
94#14519755—22no—
95#14519742—21no—
96#14519742—21no—
97#14519742—21no—
98#14519742—21no—
99#14519739—22no—
100#14519739—22no—
101#14519735—22no—
102#14519735—22no—
103#14519734—22no—
104#14519734—22no—
105#14519734—21no—
106#14519734—21no—
107#14519734—21no—
108#14519734—21no—
109C2×C4⋊Dic61C2×C411yescharacteristic
110C2×C4⋊Dic61C2×C411yescharacteristic
111C2×#11758196C2×C411yescharacteristic
112C2×#11758196C2×C411yescharacteristic
113C2×#11758196C2×C411yescharacteristic
114C2×#11758196C2×C411yescharacteristic
115C2×#11758196C2×C411yescharacteristic
116C2×#11758196C2×C411yescharacteristic
117C2×#11758196C2×C411yescharacteristic
118C2×#11758196C2×C411yescharacteristic
119C4⋊C4×D61D412yes—
120C4⋊C4×D61D412yes—
121C4⋊C4×D61D412yes—
122C4⋊C4×D61D412yes—
123C2×#11758198C2×C411yescharacteristic
124C2×#11758198C2×C411yescharacteristic
125C2×#11758198C2×C411yescharacteristic
126C2×#11758198C2×C411yescharacteristic
127C2×#11758198C2×C411yescharacteristic
128C2×#11758198C2311yescharacteristic
129C2×#11758198C2311yescharacteristic
130C2×#11758198C2311yescharacteristic
131C2×C4×Dic61C2×C411yescharacteristic
132C2×C4×Dic61C2×C411yescharacteristic
133C2×C4×Dic61C2×C411yescharacteristic
134C2×C4×Dic61C2×C411yescharacteristic
135#125×C61—22no—
136#125×C61—22no—
137C2×C4⋊C4×C61C2×C411yescharacteristic
138C2×C4⋊C4×C61C2×C411yescharacteristic
139C2×C4⋊C4×C61C2×C411yescharacteristic
140C2×C4⋊C4×C61C2×C411yescharacteristic
141C2×C4⋊C4×C61C2×C411yescharacteristic
142C2×C4⋊C4×C61C2×C411yescharacteristic
143C2×C42×C61C2×C411yescharacteristic
144C23×D61C22×C411yescharacteristic
145C23×D61C2411yescharacteristic
146C22×#6923—22no—
147C22×#6923—22no—
148C22×#6923—22no—
149C22×#6923—22no—
150C22×C4×C61C22×C411yescharacteristic
151C22×C4×C61C22×C411yescharacteristic
152C22×C4×C61C22×C411yescharacteristic
153C22×C4×C61C22×C411yescharacteristic
154C22×C4×C61C22×C411yescharacteristic
155C22×C4×C61C22×C411yescharacteristic
156C22×C4×C61C22×C411yescharacteristic
157C22×Dic61C22×C411yescharacteristic
158C22×Dic61C22×C411yescharacteristic
159C22×Dic61C22×C411yescharacteristic
160C22×Dic61C22×C411yescharacteristic
161C22×Dic61C22×C411yescharacteristic
162C22×Dic61C22×C411yescharacteristic
163C2×D244—22no—
164C2×D244—22no—
165C2×D244—21no—
166C2×D244—21no—
167C2×C4×D61—22no—
168C2×C4×D61—22no—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—21no—
174C2×C4×D61—21no—
175C2×C4×D61—42no—
176C2×C4×D61—42no—
177C2×C4×D61C2×D412yes—
178C2×C4×D61C2×D412yes—
179C2×C4×D61C2×D412yes—
180C2×C4×D61C2×D412yes—
181C2×C4×D61C2×D412yes—
182C2×C4×D61C2×D412yes—
183C2×Dic122—21no—
184C2×Dic122—21no—
185C2×Dic122—42no—
186C22⋊#6923—22no—
187C22⋊#6923—22no—
188C22⋊#6923—22no—
189C22⋊#6923—22no—
190C22⋊#6923—22no—
191C22⋊#6923—22no—
192C22⋊#6923—22no—
193C22⋊#6923#4114yes—
194C4⋊#6923—44no—
195C4⋊#6923—44no—
196C4⋊#6923—44no—
197C4×#6923—44no—
198C4×#6923—44no—
199C4×#6923—44no—
200C4⋊C4×C61—22no—
201C4⋊C4×C61—22no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—22no—
205C4⋊C4×C61—22no—
206C4⋊C4×C61C22⋊C412yes—
207C4⋊C4×C61C22⋊C412yes—
208C42×C61—21no—
209C42×C61—21no—
210#11758198—22no—
211#11758198—22no—
212#11758198—22no—
213#11758198—21no—
214#11758198—21no—
215#11758198—22no—
216#11758198—22no—
217#11758198—21no—
218#11758198—21no—
219#11758198—22no—
220C4⋊Dic61—22no—
221C4⋊Dic61C22⋊C412yes—
222C4⋊Dic61C22⋊C412yes—
223#11758196—22no—
224#11758196—21no—
225#11758196—21no—
226#11758196—22no—
227#11758196—22no—
228#11758196—21no—
229#11758196—21no—
230#11758196—22no—
231#11758196C22⋊C411yescharacteristic
232#11758196C22⋊C411yescharacteristic
233#11758196C22⋊C411yescharacteristic
234#11758196C22⋊C411yescharacteristic
235#11758196C22⋊C412yes—
236#11758196C22⋊C412yes—
237C4×Dic61—21no—
238C4×Dic61—21no—
239C4×Dic61—21no—
240C4×Dic61—21no—
241C4×Dic61—21no—
242C4×Dic61—21no—
243C4×Dic61—21no—
244C4×Dic61—21no—
245C23×C61C23×C411yescharacteristic
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61C22×D412yes—
254C22×D61C2×#4112yes—
255C22×D61H(5,𝔽2)11yescharacteristic
256C22×D612−1+411yescharacteristic
257C2×#6923—24no—
258C2×#6923—42no—
259C2×#6923—42no—
260C2×#6923—42no—
261C2×#6923—42no—
262C2×#6923—42no—
263C2×#6923—42no—
264C2×#6923—42no—
265C2×#6923—42no—
266C2×#6923—42no—
267C2×#6923—42no—
268C2×#6923—42no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—21no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61C2×C22⋊C411yescharacteristic
284C2×C4×C61C2×C22⋊C411yescharacteristic
285C2×C4×C61C2×C22⋊C412yes—
286C2×C4×C61C2×C22⋊C412yes—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—22no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61C2×C22⋊C411yescharacteristic
299C2×Dic61C2×C22⋊C411yescharacteristic
300C2×Dic61C2×C22⋊C411yescharacteristic
301C2×Dic61C2×C22⋊C412yes—
302C2×Dic61C2×C22⋊C411yescharacteristic
303D244—42no—
304D244—42no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—22no—
311C4×D61—22no—
312C4×D61—22no—
313C4×D61—24no—
314C4×D61—42no—
315C4×D61—42no—
316C4×D61—42no—
317Dic122—42no—
318Dic122—42no—
319#22478—611nomaximal, Sylow
320C22×C61—21no—
321C22×C61—21no—
322C22×C61C22×C22⋊C411yescharacteristic
323C22×C61C4×#4111yescharacteristic
324C22×C61#52011yescharacteristic
325C2×D61—22no—
326C2×D61—22no—
327C2×D61—42no—
328C2×D61—41no—
329C2×D61—41no—
330C2×D61—41no—
331C2×D61—41no—
332C2×D61—41no—
333C2×D61—81no—
334C2×D61—81no—
335C2×D61#54612yes—
336C2×D61#54712yes—
337#6923—44no—
338#6923—82no—
339#6923—82no—
340#6923—82no—
341C4×C61—21no—
342C4×C61—22no—
343C4×C61—21no—
344C4×C61—22no—
345C4×C61—41no—
346C4×C61—41no—
347C4×C61—41no—
348C4×C61—41no—
349Dic61—21no—
350Dic61—22no—
351Dic61—21no—
352Dic61—21no—
353Dic61—41no—
354Dic61—41no—
355Dic61—41no—
356Dic61#41012yes—
357C2×#552—611no—
358#2344—612no—
359#1996—612no—
360#1899—612no—
361#1899—612no—
362#1820—611no—
363#1820—611no—
364#1799—611no—
365C4×#99—611no—
366#1740—611no—
367#1740—611no—
368C2×C61—21no—
369C2×C61—21no—
370C2×C61#233911yescharacteristic
371C2×C61C2×#41011yescharacteristic
372C2×C61#288411yescharacteristic
373D61—22no—
374D61—22no—
375D61—81no—
376#552—1222no—
377#552—1222no—
378#552—1222no—
379#552—1222no—
380C2×#126—611no—
381C2×#126—611no—
382C2×#125—611no—
383C2×#125—611no—
384C2×#125#692311yescharacteristic, complemented
385C2×#123—611no—
386C2×#123—611no—
387C2×C22⋊Q8—611no—
388C2×C22⋊Q8—611no—
389C2×C4×Q8—611no—
390C2×C4×D4—611no—
391C2×#117—611no—
392C2×#117—611no—
393C2×#117—611no—
394C2×#117—612no—
395C2×#117—612no—
396C22×C4⋊C4—611no—
397C2×#99—612no—
398C2×#99—612no—
399#389—1222no—
400#387—1222no—
401#387—1222no—
402#381—612no—
403#381—612no—
404#380—612no—
405C4×C4⋊C4—1222no—
406C4×C22⋊C4—612no—
407#342—611no—
408#342—611no—
409#342—611no—
410#342—612no—
411#342—612no—
412#342—612no—
413#342—612no—
414#342—611no—
415C61#2247811yescharacteristic, complemented, Sylow
416C22×Q8—611no—
417C22×D4—611no—
418C23×C4—611no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4—611no—
422#126—1222no—
423#126—1222no—
424#126—1222no—
425#126—1222no—
426#125—22no—
427#125—22no—
428#125—1222no—
429#125—1222no—
430#125—1222no—
431#125—1222no—
432#123—1222no—
433#123—1222no—
434#123—1222no—
435#123—1222no—
436C22⋊Q8—1222no—
437C22⋊Q8—1222no—
438C22⋊Q8—1222no—
439C22⋊Q8—1222no—
440C4×Q8—1221no—
441C4×Q8—1221no—
442C4×Q8—1221no—
443C4×Q8—1221no—
444C4×D4—1222no—
445C4×D4—1222no—
446#117—1221no—
447#117—1221no—
448#117—1221no—
449#117—1221no—
450#117—1222no—
451#117—1222no—
452#117—1222no—
453#117—1222no—
454#117—1224no—
455#117—1224no—
456#117—2442no—
457#117—2442no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—612no—
462C2×C4⋊C4—612no—
463C2×C4⋊C4—612no—
464C2×C4⋊C4—612no—
465C2×C4⋊C4—611no—
466C2×C4⋊C4—611no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—611no—
469C2×C4⋊C4—611no—
470C2×C4⋊C4—611no—
471C2×C4⋊C4—611no—
472C2×C4⋊C4—1222no—
473C2×C4⋊C4—1222no—
474C2×C4⋊C4—1222no—
475C2×C4⋊C4C2×#692311yescharacteristic
476C2×C4⋊C4C2×#692311yescharacteristic
477C2×C4⋊C4C2×#692311yescharacteristic
478C2×C4⋊C4C2×#692311yescharacteristic
479C2×C4⋊C4C2×#692311yescharacteristic
480C2×C4⋊C4C2×#692311yescharacteristic
481C2×C22⋊C4—612no—
482C2×C22⋊C4—611no—
483C2×C22⋊C4—611no—
484C2×C22⋊C4—611no—
485C2×C22⋊C4—611no—
486C2×C22⋊C4—611no—
487C2×C22⋊C4—611no—
488C2×C22⋊C4—611no—
489C2×C22⋊C4—611no—
490C2×C22⋊C4—612no—
491C2×C22⋊C4—612no—
492C2×C22⋊C4—612no—
493C2×C42—611no—
494C2×C42—611no—
495C2×C42—611no—
496C2×C42—611no—
497C2×C42—1222no—
498C2×C42—1222no—
499C2×C42—1222no—
500C2×C42C2×#692311yescharacteristic
501#99—1224no—
502#99—2442no—
503#95—1222no—
504#95—1222no—
505#95—1222no—
506#95—1222no—
507#95—1222no—
508#95—1222no—
509C24—611no—
510C24—611no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—2442no—
514C2×D4—1222no—
515C2×D4—1221no—
516C2×D4—1222no—
517C2×D4—1221no—
518C22×C4—611no—
519C22×C4—611no—
520C22×C4—611no—
521C22×C4—612no—
522C22×C4—612no—
523C22×C4—612no—
524C22×C4—612no—
525C22×C4—612no—
526C22×C4—612no—
527C22×C4—611no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1222no—
533C22×C4—1222no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—1222no—
542C22×C4—2442no—
543C22×C4—2442no—
544C22×C4C22×#692311yescharacteristic
545C22×C4C22×#692311yescharacteristic
546C22×C4C22×#692311yescharacteristic
547C22×C4C22×#692311yescharacteristic
548C22×C4C22×#692311yescharacteristic
549C22×C4C22×#692311yescharacteristic
550C22×C4C22×#692311yescharacteristic
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—611no—
558C4⋊C4—611no—
559C4⋊C4—611no—
560C4⋊C4—611no—
561C4⋊C4—612no—
562C4⋊C4—612no—
563C4⋊C4—612no—
564C4⋊C4—612no—
565C4⋊C4—1222no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1222no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1222no—
572C4⋊C4—1222no—
573C4⋊C4—1222no—
574C4⋊C4—2444no—
575C4⋊C4—2444no—
576C4⋊C4—2444no—
577C4⋊C4C22⋊#692312yes—
578C4⋊C4C22⋊#692312yes—
579C22⋊C4—614no—
580C22⋊C4—1221no—
581C22⋊C4—1221no—
582C22⋊C4—1222no—
583C22⋊C4—1222no—
584C22⋊C4—1222no—
585C22⋊C4—1222no—
586C22⋊C4—1222no—
587C22⋊C4—1221no—
588C22⋊C4—1221no—
589C22⋊C4—1222no—
590C22⋊C4—1222no—
591C22⋊C4—1222no—
592C22⋊C4—1222no—
593C22⋊C4—1222no—
594C22⋊C4—1222no—
595C22⋊C4—1222no—
596C22⋊C4—1222no—
597C42—21no—
598C42—21no—
599C42—1221no—
600C42—1221no—
601C42—1221no—
602C42—1221no—
603C42—1221no—
604C42—1221no—
605C42—1221no—
606C42—1221no—
607C42—2444no—
608C42—2444no—
609C42—2444no—
610C23—612no—
611C23—612no—
612C23—611no—
613C23—611no—
614C23—1221no—
615C23—1221no—
616C23—1221no—
617C23—2441no—
618C23—2441no—
619C23—2441no—
620C23—2441no—
621C23C23×#692311yescharacteristic
622Q8—2442no—
623Q8—2442no—
624D4—2442no—
625D4—2442no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—611no—
641C2×C4—611no—
642C2×C4—611no—
643C2×C4—611no—
644C2×C4—612no—
645C2×C4—1224no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1221no—
656C2×C4—1221no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1224no—
660C2×C4—1221no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—2442no—
664C2×C4—2442no—
665C2×C4—2442no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4—2442no—
671C2×C4—2442no—
672C2×C4—2442no—
673C2×C4—2442no—
674C2×C4—2442no—
675C2×C4—2442no—
676C2×C4—2442no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4C2×C22⋊#692311yescharacteristic
681C2×C4C2×C22⋊#692311yescharacteristic
682C2×C4C2×C22⋊#692312yes—
683C2×C4C2×C22⋊#692312yes—
684C22—21no—
685C22—21no—
686C22—612no—
687C22—612no—
688C22—1222no—
689C22—1222no—
690C22—4881no—
691C22—4881no—
692C22—2442no—
693C22—2441no—
694C22—2441no—
695C22—2441no—
696C22—2441no—
697C22—2441no—
698C22C22×C22⋊#692311yescharacteristic
699C22#41×#692311yescharacteristic
700C22#1684083111yescharacteristic
701C4—21no—
702C4—22no—
703C4—21no—
704C4—22no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—41no—
709C4—612no—
710C4—1221no—
711C4—1221no—
712C4—1222no—
713C4—1221no—
714C4—4882no—
715C4—4882no—
716C4—4882no—
717C4—2444no—
718C4—2441no—
719C4—2441no—
720C4—2441no—
721C2—21no—
722C2—21no—
723C2—1222no—
724C2—1222no—
725C2—4881no—
726C2#2146232211yescharacteristic
727C2D61⋊#41011yescharacteristic
728C2#2146242011yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC23×C61C23×C4
FrattiniC23C23×#6923
FittingC2×#125×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC22×D244C23
cosocleC23×D61C24
hypercenterC2×#125#6923
hypocenterC61#22478
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C4⋊C4 ◁ C2×#125

Complements

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

NH ≅ G/Ntype
1. #21462327C2semidirect
2. #21462010C2semidirect
5. #21461717C2semidirect
6. #21461716C2semidirect
9. #21461519C2semidirect
10. #21461518C2semidirect
36. C2×#14519772C4semidirect
37. C2×#14519772C4semidirect
38. C2×#14519767C4semidirect
39. C2×#14519767C4semidirect
42. C2×#14519755C4semidirect
44. C2×#14519742C4semidirect
47. C2×#14519734C4semidirect
50. C2×#125×C61C4semidirect
384. C2×#125#6923semidirect
415. C61#22478semidirect

Maximal subgroups

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

subgroupindex
#214623272
#214620102
#214618432
#214617172
#214617162
#214616822
#214615642
#214615192
#214615182
C2×#168404442
#2247861