Finite Group Databasebeta

← #29648523

Subgroups — #29648523

Order 15616.

940 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459720C211yesmaximal, characteristic
2#21454928C211yesmaximal, characteristic, complemented
3#21454480C211yesmaximal, characteristic, complemented
4#21444524C211yesmaximal, characteristic, complemented
5#21444521C211yesmaximal, characteristic, complemented
6#21444518C211yesmaximal, characteristic, complemented
7#21444517C211yesmaximal, characteristic, complemented
8#21444502C211yesmaximal, characteristic, complemented
9#21444493C211yesmaximal, characteristic, complemented
10#21444483C211yesmaximal, characteristic, complemented
11#21444482C211yesmaximal, characteristic, complemented
12#21444465C211yesmaximal, characteristic, complemented
13#21444465C211yesmaximal, characteristic, complemented
14#332×D61C211yesmaximal, characteristic, complemented
15C61×#1540C211yesmaximal, characteristic, complemented
16#16840481—21no—
17#16840476C412yes—
18#16840471C412yes—
19#16840462C412yes—
20#16840459C412yes—
21#16840420—21no—
22#16840419—21no—
23#16840411—21no—
24#16840379—21no—
25#16840377—21no—
26#16840341—21no—
27#16840319C2211yescharacteristic
28#16840317C2211yescharacteristic
29#16840310C2211yescharacteristic
30#16840310C2211yescharacteristic
31C4⋊Q8×D61C2211yescharacteristic
32#16840241—21no—
33C4×#11758222C2211yescharacteristic
34#16839886—21no—
35#16839827—21no—
36C8×C22⋊D61—21no—
37C8×C22⋊D61—21no—
38#16839821—21no—
39#16839820—21no—
40#16839819C2211yescharacteristic
41#16839818C2211yescharacteristic
42#16839815C2211yescharacteristic
43#16839814C2211yescharacteristic
44#16839814C2211yescharacteristic
45#16839814C2211yescharacteristic
46#16839784C2211yescharacteristic
47C4⋊C8×D61C2211yescharacteristic
48C4⋊C8×D61C2211yescharacteristic
49C4⋊C8×D61C2211yescharacteristic
50#16839727—21no—
51#16839716—21no—
52#16839509C2211yescharacteristic
53#16839509C2211yescharacteristic
54#16839509C2211yescharacteristic
55#16839509C2211yescharacteristic
56#16839508C2211yescharacteristic
57#16839508C2211yescharacteristic
58#16839507C2211yescharacteristic
59#16839507C2211yescharacteristic
60#16839507C2211yescharacteristic
61#16839507C2211yescharacteristic
62#16839506C2211yescharacteristic
63#16839506C2211yescharacteristic
64C61×#532C2211yescharacteristic
65C61×#431C2211yescharacteristic
66C2×C4⋊C8×C61C2211yescharacteristic
67C61×#332C2211yescharacteristic
68C61×#332C2211yescharacteristic
69C61×#331C2211yescharacteristic
70C61×#331C2211yescharacteristic
71C2×#11758222D411yescharacteristic
72C2×#11758224—21no—
73C2×#11758224—21no—
74C2×Q8×D61—21no—
75C2×#11758189—21no—
76C2×C8×D61—21no—
77C2×C8×D61—21no—
78C2×C8×D61—21no—
79#14519777C2311yescharacteristic
80#14519777C2311yescharacteristic
81#14519776—21no—
82#14519776C2×C412yes—
83#14519775—21no—
84#14519770—22no—
85#14519770—22no—
86#14519769C2×C412yes—
87#14519768C2×C412yes—
88#14519764—22no—
89#14519764—21no—
90#14519764—21no—
91#14519763—22no—
92#14519760—22no—
93#14519758—22no—
94#14519757—21no—
95#14519756—21no—
96#14519756—21no—
97#14519756—22no—
98#14519754—22no—
99#14519754—22no—
100#14519753—21no—
101#14519750—22no—
102#14519749—22no—
103#14519748—22no—
104#14519748—21no—
105#14519748—21no—
106#14519748C2×C412yes—
107#14519748C2×C412yes—
108Q8×Dic61—21no—
109C4×Dic122—21no—
110C4×Dic122—21no—
111C4×Dic122C2×C411yescharacteristic
112C4×Dic122D411yescharacteristic
113#14519742—21no—
114C4×D244C2×C411yescharacteristic
115C4×D244D411yescharacteristic
116D4×Dic61—21no—
117D4×Dic61—21no—
118D4×Dic61C2×C412yes—
119D4×Dic61C2×C412yes—
120C4×C22⋊D61—22no—
121C4×C22⋊D61C2×C411yescharacteristic
122C4×C22⋊D61C2×C411yescharacteristic
123C4×C22⋊D61D411yescharacteristic
124C4×C22⋊D61D411yescharacteristic
125#14519737—22no—
126#14519736C2×C412yes—
127#14519736D411yescharacteristic
128#14519735C2×C412yes—
129#14519734D411yescharacteristic
130#14519734D411yescharacteristic
131#14519733—22no—
132C2×#11758196—22no—
133C4⋊C4×D61—21no—
134C4⋊C4×D61C2×C412yes—
135C42×D61C2311yescharacteristic
136C42×D61C2311yescharacteristic
137C4⋊#92418C2311yescharacteristic
138C4⋊#92418C2311yescharacteristic
139C4⋊#92418C2311yescharacteristic
140C4⋊#92418C2311yescharacteristic
141#14519706—21no—
142#14519706—21no—
143#14519706—21no—
144#14519706—21no—
145C22⋊#92418—21no—
146C22⋊#92418—21no—
147#14519689—21no—
148#14519689—21no—
149#14519689—21no—
150#14519689—21no—
151#14519688—21no—
152#14519687—21no—
153C4×#92418—21no—
154C8×Dic61—21no—
155C8×Dic61—21no—
156C8×Dic61—21no—
157C2×#41×C61—21no—
158C22×C8×C61—21no—
159C4⋊Q8×C61C2311yescharacteristic
160#127×C61C2311yescharacteristic
161#124×C61—21no—
162#121×C61—21no—
163#121×C61C2×C412yes—
164C4×D4×C61—21no—
165C4×D4×C61C2×C412yes—
166C2×C42×C61C2311yescharacteristic
167C4⋊C8×C61—21no—
168C4⋊C8×C61C2311yescharacteristic
169C4⋊C8×C61C2311yescharacteristic
170C4⋊C8×C61C2311yescharacteristic
171C4⋊C8×C61C2311yescharacteristic
172C22⋊C8×C61—21no—
173C4×C8×C61—21no—
174#41×C61—81no—
175#41×C61—81no—
176C2×Q8×C61—21no—
177C2×D4×C61—22no—
178C2×D4×C61—21no—
179C2×D4×C61—21no—
180C2×D4×C61C22×C412yes—
181C22×C4×C61—22no—
182C22×C4×C61C22×C411yescharacteristic
183C22×C4×C61C2×D411yescharacteristic
184C22×C4×C61C2×D411yescharacteristic
185C2×C22⋊D61—22no—
186C2×C22⋊D61—22no—
187C2×C22⋊D61C22⋊C411yescharacteristic
188C2×C22⋊D61C22⋊C411yescharacteristic
189C22×Dic61—22no—
190C22×Dic61—22no—
191Q8×D61—81no—
192Q8×D61—81no—
193#11758224—42no—
194#11758224—42no—
195#11758224—81no—
196#11758224—81no—
197#11758222—22no—
198#11758222—22no—
199C2×D244C22⋊C411yescharacteristic
200C2×C4×D61—22no—
201C2×C4×D61C22×C411yescharacteristic
202C2×C4×D61C22×C411yescharacteristic
203C2×C4×D61C2×D411yescharacteristic
204C2×C4×D61C2×D411yescharacteristic
205C2×C4×D61C2×D411yescharacteristic
206C2×C4×D61C2×D411yescharacteristic
207C2×Dic122—21no—
208C2×Dic122—21no—
209C2×Dic122—22no—
210C2×Dic122C22⋊C411yescharacteristic
211C2×C8×C61—21no—
212C2×C8×C61—21no—
213C2×C8×C61—21no—
214C2×C8×C61—21no—
215C2×C8×C61—81no—
216C4⋊C4×C61—21no—
217C4⋊C4×C61C22×C412yes—
218C22⋊C4×C61—22no—
219C22⋊C4×C61—22no—
220C42×C61C22×C411yescharacteristic
221C42×C61C2×D411yescharacteristic
222C42×C61C2×D411yescharacteristic
223C42×C61C2411yescharacteristic
224C22⋊Dic61—22no—
225C22⋊Dic61—22no—
226C22⋊Dic61—22no—
227C22⋊Dic61—22no—
228C22⋊Dic61—22no—
229C22⋊Dic61C22⋊C411yescharacteristic
230C22⋊Dic61C22⋊C411yescharacteristic
231#11758198—22no—
232#11758198C22⋊C411yescharacteristic
233#11758198C22⋊C411yescharacteristic
234#11758198C22⋊C411yescharacteristic
235#11758198C22⋊C411yescharacteristic
236C4⋊Dic61—21no—
237C4⋊Dic61—21no—
238C4⋊Dic61—22no—
239C4⋊Dic61C22⋊C411yescharacteristic
240C4⋊Dic61C22⋊C411yescharacteristic
241C4⋊Dic61C22×C412yes—
242C4⋊Dic61C22×C412yes—
243#11758196—22no—
244#11758196—22no—
245#11758196—22no—
246#11758196—22no—
247#11758196—22no—
248#11758196C22⋊C411yescharacteristic
249#11758196C22⋊C411yescharacteristic
250#11758196C22⋊C411yescharacteristic
251#11758196C22⋊C411yescharacteristic
252C4×Dic61—22no—
253C4×Dic61—22no—
254C4×Dic61C22×C411yescharacteristic
255C4×Dic61C22×C411yescharacteristic
256C4×Dic61C2×D411yescharacteristic
257C4×Dic61C2×D411yescharacteristic
258C4×Dic61C2×D411yescharacteristic
259C4×Dic61C2×D411yescharacteristic
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—21no—
263C2×#92418—21no—
264#11758189—42no—
265C8×D61—42no—
266C8×D61—81no—
267C8×D61—81no—
268C23×C61—22no—
269C23×C61C2×C22⋊C411yescharacteristic
270C22×D61C2×C22⋊C411yescharacteristic
271C22×D61C2×C22⋊C411yescharacteristic
272Q8×C61—41no—
273Q8×C61—41no—
274D4×C61—42no—
275D4×C61—41no—
276D4×C61—41no—
277D4×C61—41no—
278D4×C61—41no—
279D4×C61—82no—
280C2×C4×C61—21no—
281C2×C4×C61—21no—
282C2×C4×C61—21no—
283C2×C4×C61—21no—
284C2×C4×C61—22no—
285C2×C4×C61—41no—
286C2×C4×C61—82no—
287C2×C4×C61C2×C22⋊C411yescharacteristic
288C2×C4×C61C2×C22⋊C411yescharacteristic
289C2×C4×C61C2×C22⋊C411yescharacteristic
290C2×C4×C61C23×C411yescharacteristic
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C22×D411yescharacteristic
293C22⋊D61—22no—
294C22⋊D61—22no—
295C22⋊D61—44no—
296C22⋊D61—82no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—44no—
300C2×Dic61—82no—
301C2×Dic61C2×C22⋊C411yescharacteristic
302C2×Dic61C2×C22⋊C411yescharacteristic
303C2×Dic61C2×C22⋊C411yescharacteristic
304C2×Dic61C2×C22⋊C411yescharacteristic
305C2×Dic61C2×C22⋊C411yescharacteristic
306C2×Dic61C2×C22⋊C411yescharacteristic
307D244—22no—
308C4×D61—21no—
309C4×D61—21no—
310C4×D61—21no—
311C4×D61—21no—
312C4×D61—21no—
313C4×D61—21no—
314C4×D61—41no—
315C4×D61—41no—
316C4×D61—82no—
317C4×D61#13512yes—
318C4×D61#13512yes—
319Dic122—22no—
320Dic122—41no—
321Dic122—41no—
322Dic122—41no—
323Dic122—41no—
324Dic122—82no—
325C8×C61—41no—
326C8×C61—41no—
327C8×C61—41no—
328C8×C61—41no—
329#92418—41no—
330#92418—41no—
331#92418—41no—
332#92418—41no—
333#17727—611nomaximal, Sylow
334C22×C61—21no—
335C22×C61—21no—
336C22×C61—21no—
337C22×C61—42no—
338C22×C61—42no—
339C22×C61—42no—
340C22×C61C22×C22⋊C411yescharacteristic
341C2×D61—21no—
342C2×D61—21no—
343C2×D61—21no—
344C2×D61—21no—
345C2×D61—21no—
346C2×D61#41612yes—
347C4×C61—21no—
348C4×C61—21no—
349C4×C61—21no—
350C4×C61—21no—
351C4×C61—42no—
352C4×C61C2×#13511yescharacteristic
353C4×C61C2×#13511yescharacteristic
354C4×C61#57611yescharacteristic
355C4×C61#57711yescharacteristic
356Dic61—21no—
357Dic61—21no—
358Dic61—21no—
359Dic61—21no—
360Dic61—21no—
361Dic61—42no—
362Dic61—42no—
363Dic61#41612yes—
364#3511—611no—
365#2988—611no—
366#2925—611no—
367#1553—611no—
368#1553—611no—
369#1552—611no—
370#1552—611no—
371#1549—611no—
372#1547—611no—
373#1544—611no—
374#1544—611no—
375#1540—611no—
376#1540—611no—
377#1540D6111yescharacteristic, complemented
378C2×#332—611no—
379C2×C61—41no—
380C2×C61—82no—
381C2×C61#288911yescharacteristic
382C2×C61C2×#41611yescharacteristic
383C2×C61#289711yescharacteristic
384D61—22no—
385D61—41no—
386#556—1221no—
387#555—612no—
388#554—612no—
389#553—612no—
390#553—612no—
391#548—1221no—
392#548—1221no—
393#547—1221no—
394#542—1221no—
395#542—1221no—
396#537—1221no—
397#533—611no—
398#533—611no—
399#532—611no—
400#532—611no—
401#532C2×D6111yescharacteristic
402C2×C4⋊Q8—611no—
403#520—1221no—
404C4×#41—611no—
405C8×Q8—1221no—
406C8×D4—1221no—
407C8×D4—1221no—
408C8×D4—1221no—
409#433—1221no—
410#433—1221no—
411#432—611no—
412#432—611no—
413#431—611no—
414#431—611no—
415#431—611no—
416#431—611no—
417#431C2×D6111yescharacteristic
418#423—611no—
419C2×C4⋊C8—611no—
420C2×C4⋊C8—611no—
421C2×C4⋊C8—611no—
422C2×C4⋊C8C2×D6111yescharacteristic
423#408—1221no—
424#405—1221no—
425#332—611no—
426#332—611no—
427#332—611no—
428#332—611no—
429#332—611no—
430#332—611no—
431#332—611no—
432#332—611no—
433#332—611no—
434#332—611no—
435#332C2×D6111yescharacteristic
436#332C2×D6111yescharacteristic
437#331—611no—
438#331—611no—
439#331C2×D6111yescharacteristic
440#331C2×D6111yescharacteristic
441C61#1772711yescharacteristic, complemented, Sylow
442C2×#41—21no—
443C2×#41—611no—
444C2×#41—1221no—
445C2×#41—1221no—
446C22×Q8—1221no—
447C2×M16—1221no—
448C22×C8—21no—
449C22×C8—1221no—
450C22×C8—1221no—
451C22×C8—1221no—
452C4⋊Q8—612no—
453C4⋊Q8—611no—
454C4⋊Q8—611no—
455C4⋊Q8—1221no—
456C4⋊Q8—1221no—
457C4⋊Q8C22×D6111yescharacteristic
458#127C22×D6111yescharacteristic
459#126—1222no—
460#126—1222no—
461#125—612no—
462#125—612no—
463#124—21no—
464#124—1221no—
465#124—1221no—
466#124—1222no—
467#124—1222no—
468#123—1222no—
469#123—1222no—
470C22⋊Q8—1222no—
471C22⋊Q8—1222no—
472C22⋊Q8—1221no—
473C22⋊Q8—1222no—
474C22⋊Q8—1221no—
475C22⋊Q8—1221no—
476C22⋊Q8—1221no—
477#121—21no—
478#121—612no—
479#121—612no—
480#121—1222no—
481#121—1221no—
482#121—1221no—
483#121—1222no—
484#121—1222no—
485#121C4×D6112yes—
486C4×Q8—611no—
487C4×Q8—611no—
488C4×Q8—1221no—
489C4×Q8—1221no—
490C4×Q8—1221no—
491C4×Q8—1221no—
492C4×D4—21no—
493C4×D4—611no—
494C4×D4—611no—
495C4×D4—611no—
496C4×D4—611no—
497C4×D4—612no—
498C4×D4—612no—
499C4×D4—611no—
500C4×D4—611no—
501C4×D4—1221no—
502C4×D4—1221no—
503C4×D4—1222no—
504C4×D4—1222no—
505C4×D4C4×D6112yes—
506#117—611no—
507#117—611no—
508#117—611no—
509#117—612no—
510#117—612no—
511#117—1222no—
512C2×C4⋊C4—612no—
513C2×C4⋊C4—1221no—
514C2×C4⋊C4—1222no—
515C2×C42—611no—
516C2×C42—611no—
517C2×C42C22×D6111yescharacteristic
518C4⋊C8—21no—
519C4⋊C8—611no—
520C4⋊C8—611no—
521C4⋊C8—611no—
522C4⋊C8—611no—
523C4⋊C8—1221no—
524C4⋊C8—1221no—
525C4⋊C8—1221no—
526C4⋊C8—1221no—
527C4⋊C8C22×D6111yescharacteristic
528C4⋊C8C22×D6111yescharacteristic
529C4⋊C8C22×D6111yescharacteristic
530C4⋊C8C22×D6111yescharacteristic
531C22⋊C8—21no—
532C22⋊C8—1221no—
533C22⋊C8—1221no—
534C22⋊C8—1221no—
535C22⋊C8—1221no—
536C22⋊C8—1221no—
537C22⋊C8—1221no—
538#97—1221no—
539#97—1221no—
540C4×C8—21no—
541C4×C8—1221no—
542C4×C8—1221no—
543C4×C8—1221no—
544C4×C8—1221no—
545#41—81no—
546#41—81no—
547#41—1222no—
548#41—1222no—
549#41—4881no—
550#41—4881no—
551#41—2442no—
552#41—2442no—
553C2×Q8—21no—
554C2×Q8—611no—
555C2×Q8—1222no—
556C2×Q8—1221no—
557C2×Q8—1221no—
558C2×Q8—4881no—
559C2×Q8—4881no—
560C2×D4—22no—
561C2×D4—21no—
562C2×D4—21no—
563C2×D4—611no—
564C2×D4—611no—
565C2×D4—611no—
566C2×D4—1222no—
567C2×D4—1222no—
568C2×D4C2×C4×D6112yes—
569C22×C4—22no—
570C22×C4—611no—
571C22×C4—611no—
572C22×C4—611no—
573C22×C4—611no—
574C22×C4—611no—
575C22×C4—611no—
576C22×C4—1222no—
577C22×C4—1222no—
578C22×C4—1222no—
579C22×C4C2×C4×D6111yescharacteristic
580C22×C4D4×D6111yescharacteristic
581C22×C4D4×D6111yescharacteristic
582M16—2442no—
583C2×C8—21no—
584C2×C8—21no—
585C2×C8—21no—
586C2×C8—21no—
587C2×C8—81no—
588C2×C8—1221no—
589C2×C8—1221no—
590C2×C8—1221no—
591C2×C8—1221no—
592C2×C8—4881no—
593C2×C8—4881no—
594C2×C8—2442no—
595C4⋊C4—21no—
596C4⋊C4—611no—
597C4⋊C4—611no—
598C4⋊C4—611no—
599C4⋊C4—611no—
600C4⋊C4—611no—
601C4⋊C4—611no—
602C4⋊C4—612no—
603C4⋊C4—612no—
604C4⋊C4—1222no—
605C4⋊C4—1222no—
606C4⋊C4—1222no—
607C4⋊C4—1222no—
608C4⋊C4—1221no—
609C4⋊C4—1221no—
610C4⋊C4—1222no—
611C4⋊C4—1222no—
612C4⋊C4C2×C4×D6112yes—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—611no—
616C22⋊C4—611no—
617C22⋊C4—611no—
618C22⋊C4—611no—
619C22⋊C4—611no—
620C22⋊C4—611no—
621C22⋊C4—1222no—
622C22⋊C4—1222no—
623C22⋊C4—1222no—
624C22⋊C4—1222no—
625C22⋊C4—1222no—
626C22⋊C4—1222no—
627C42—611no—
628C42—611no—
629C42—611no—
630C42—611no—
631C42—611no—
632C42—611no—
633C42—1222no—
634C42—1222no—
635C42C2×C4×D6111yescharacteristic
636C42D4×D6111yescharacteristic
637C42D4×D6111yescharacteristic
638C42C23×D6111yescharacteristic
639C23—22no—
640C23—611no—
641C23—611no—
642C23C22⋊C4×D6111yescharacteristic
643Q8—41no—
644Q8—41no—
645Q8—1222no—
646Q8—4882no—
647Q8—2441no—
648Q8—2441no—
649Q8—2441no—
650Q8—2441no—
651D4—42no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—82no—
657D4—1222no—
658D4—1222no—
659D4—1222no—
660D4—4882no—
661D4—2444no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—41no—
668C2×C4—82no—
669C2×C4—611no—
670C2×C4—612no—
671C2×C4—612no—
672C2×C4—611no—
673C2×C4—611no—
674C2×C4—611no—
675C2×C4—611no—
676C2×C4—611no—
677C2×C4—1221no—
678C2×C4—1221no—
679C2×C4—1221no—
680C2×C4—1221no—
681C2×C4—1221no—
682C2×C4—1221no—
683C2×C4—1222no—
684C2×C4—1222no—
685C2×C4—4882no—
686C2×C4—4882no—
687C2×C4—2441no—
688C2×C4—2441no—
689C2×C4—2444no—
690C2×C4C22⋊C4×D6111yescharacteristic
691C2×C4C22⋊C4×D6111yescharacteristic
692C2×C4C22⋊C4×D6111yescharacteristic
693C2×C4C22×C4×D6111yescharacteristic
694C2×C4C2×D4×D6111yescharacteristic
695C2×C4C2×D4×D6111yescharacteristic
696C8—41no—
697C8—41no—
698C8—41no—
699C8—41no—
700C8—2441no—
701C8—2441no—
702C8—2441no—
703C8—2441no—
704C22—21no—
705C22—21no—
706C22—21no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—612no—
711C22—1221no—
712C22—1221no—
713C22—1221no—
714C22—1221no—
715C22—1221no—
716C22C2×C22⋊C4×D6111yescharacteristic
717C4—21no—
718C4—21no—
719C4—21no—
720C4—21no—
721C4—42no—
722C4—612no—
723C4—1221no—
724C4—1221no—
725C4—1221no—
726C4—1221no—
727C4—1221no—
728C4—2442no—
729C4—2442no—
730C4#135×D6111yescharacteristic
731C4#135×D6111yescharacteristic
732C4#1684056311yescharacteristic
733C4#1684056811yescharacteristic
734C2—41no—
735C2—82no—
736C2—1222no—
737C2—2441no—
738C2#2145430011yescharacteristic
739C2#416×D6111yescharacteristic
740C2#2145434011yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC61×#1540C2
socleC22×C61C22×C22⋊C4
prime radical#21459720C2
cosocleC42×C61C24
hypercenter#1540D61
hypocenterC61#17727
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1540

Complements

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

NH ≅ G/Ntype
2. #21454928C2semidirect
3. #21454480C2semidirect
4. #21444524C2semidirect
5. #21444521C2semidirect
6. #21444518C2semidirect
7. #21444517C2semidirect
8. #21444502C2semidirect
9. #21444493C2semidirect
10. #21444483C2semidirect
11. #21444482C2semidirect
12. #21444465C2semidirect
13. #21444465C2semidirect
14. #332×D61C2semidirect
15. C61×#1540C2semidirect
377. #1540D61semidirect
441. C61#17727semidirect

Maximal subgroups

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

subgroupindex
#214597202
#214549282
#214544802
#214445242
#214445212
#214445182
#214445172
#214445022
#214444932
#214444832
#214444822
#214444652
#332×D612
C61×#15402
#1772761