Finite Group Databasebeta

← #29648774

Subgroups — #29648774

Order 15616.

964 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#21454933C211yesmaximal, characteristic, complemented
3#21454388C211yesmaximal, characteristic, complemented
4#21444551C211yesmaximal, characteristic, complemented
5#21444547C211yesmaximal, characteristic, complemented
6#21444546C211yesmaximal, characteristic, complemented
7#21444514C211yesmaximal, characteristic, complemented
8#21444511C211yesmaximal, characteristic, complemented
9#21444510C211yesmaximal, characteristic, complemented
10#21444506C211yesmaximal, characteristic, complemented
11#21444498C211yesmaximal, characteristic, complemented
12#21444493C211yesmaximal, characteristic, complemented
13#333×D61C211yesmaximal, characteristic, complemented
14#21444465C211yesmaximal, characteristic, complemented
15C61×#1560C211yesmaximal, characteristic, complemented
16C2×#14519785—21no—
17#16840481C412yes—
18#16840476—21no—
19#16840471—21no—
20#16840462—21no—
21#16840459—21no—
22#16840420C412yes—
23#16840419C412yes—
24#16840411C412yes—
25#16840379—21no—
26#16840377—21no—
27#16840341—21no—
28#16840319C2211yescharacteristic
29#16840317C2211yescharacteristic
30#16840310C2211yescharacteristic
31#16840310C2211yescharacteristic
32C4⋊Q8×D61C2211yescharacteristic
33#16840241—21no—
34C4×#11758222C2211yescharacteristic
35#16839891—21no—
36#16839838—21no—
37#16839832—21no—
38#16839831—21no—
39#16839819C2211yescharacteristic
40#16839818C2211yescharacteristic
41#16839814C2211yescharacteristic
42#16839790—21no—
43#16839787—21no—
44#16839787—21no—
45#16839784C2211yescharacteristic
46#16839784C2211yescharacteristic
47#16839784C2211yescharacteristic
48C2×C4⋊#92418C2211yescharacteristic
49C4⋊C8×D61C2211yescharacteristic
50C4⋊C8×D61C2211yescharacteristic
51C4⋊C8×D61C2211yescharacteristic
52#16839511C2211yescharacteristic
53#16839511C2211yescharacteristic
54#16839510C2211yescharacteristic
55#16839510C2211yescharacteristic
56#16839510C2211yescharacteristic
57#16839510C2211yescharacteristic
58#16839509C2211yescharacteristic
59#16839509C2211yescharacteristic
60#16839507C2211yescharacteristic
61#16839507C2211yescharacteristic
62#16839506C2211yescharacteristic
63#16839506C2211yescharacteristic
64C61×#532C2211yescharacteristic
65C61×#423C2211yescharacteristic
66C61×#423C2211yescharacteristic
67C61×#333C2211yescharacteristic
68C61×#333C2211yescharacteristic
69C61×#331C2211yescharacteristic
70C61×#331C2211yescharacteristic
71C2×#11758222D411yescharacteristic
72C2×#11758224—21no—
73C2×#11758224C2×C412yes—
74C2×Q8×D61C2×C412yes—
75#14519785—44no—
76C2×#11758189—21no—
77C2×#11758189—21no—
78C2×#11758189—21no—
79C22×#92418—21no—
80C2×C8×D61—21no—
81C2×C8×D61—21no—
82C2×C8×D61—21no—
83#14519777C2311yescharacteristic
84#14519777C2311yescharacteristic
85#14519776—21no—
86#14519776—21no—
87#14519775C2×C412yes—
88#14519770—22no—
89#14519770—22no—
90#14519769—21no—
91#14519768—21no—
92#14519764—22no—
93#14519764—21no—
94#14519764C2×C412yes—
95#14519763—22no—
96#14519760—22no—
97#14519758—22no—
98#14519757—21no—
99#14519756—21no—
100#14519756—22no—
101#14519756C2×C412yes—
102#14519754—22no—
103#14519754—22no—
104#14519753C2×C412yes—
105#14519750—22no—
106#14519749—22no—
107#14519748—22no—
108#14519748—21no—
109#14519748—21no—
110#14519748—21no—
111#14519748C2×C412yes—
112Q8×Dic61C2×C412yes—
113C4×Dic122—21no—
114C4×Dic122C2×C412yes—
115C4×Dic122C2×C411yescharacteristic
116C4×Dic122D411yescharacteristic
117#14519742—21no—
118C4×D244C2×C411yescharacteristic
119C4×D244D411yescharacteristic
120D4×Dic61—21no—
121D4×Dic61—21no—
122D4×Dic61—21no—
123D4×Dic61C2×C412yes—
124C4×C22⋊D61—22no—
125C4×C22⋊D61C2×C411yescharacteristic
126C4×C22⋊D61C2×C411yescharacteristic
127C4×C22⋊D61D411yescharacteristic
128C4×C22⋊D61D411yescharacteristic
129#14519737—22no—
130#14519736—21no—
131#14519736D411yescharacteristic
132#14519735—21no—
133#14519734D411yescharacteristic
134#14519734D411yescharacteristic
135#14519733—22no—
136C2×#11758196—22no—
137C4⋊C4×D61—21no—
138C4⋊C4×D61—21no—
139C42×D61C2311yescharacteristic
140C42×D61C2311yescharacteristic
141C4⋊#92418—21no—
142C4⋊#92418C2311yescharacteristic
143C4⋊#92418C2311yescharacteristic
144C4⋊#92418C2311yescharacteristic
145C4⋊#92418C2311yescharacteristic
146#14519706—21no—
147#14519706—21no—
148#14519706—21no—
149#14519706—21no—
150#14519706—21no—
151#14519706—21no—
152C22⋊#92418—21no—
153#14519689—21no—
154#14519689—21no—
155#14519688—21no—
156#14519687—21no—
157C8×Dic61—21no—
158C2×#41×C61C2×C412yes—
159C2×M16×C61—21no—
160C2×M16×C61—21no—
161C4⋊Q8×C61C2311yescharacteristic
162#127×C61C2311yescharacteristic
163#124×C61C2×C412yes—
164#121×C61—21no—
165#121×C61—21no—
166C4×D4×C61—21no—
167C4×D4×C61—21no—
168C2×C42×C61C2311yescharacteristic
169C4⋊C8×C61—21no—
170C4⋊C8×C61—21no—
171C4⋊C8×C61C2311yescharacteristic
172C4⋊C8×C61C2311yescharacteristic
173C4⋊C8×C61C2311yescharacteristic
174C4⋊C8×C61C2311yescharacteristic
175#41×C61—82no—
176C2×Q8×C61C22×C412yes—
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—82no—
192#11758224—42no—
193#11758224—42no—
194#11758224—82no—
195#11758222—22no—
196#11758222—22no—
197C2×D244C22⋊C411yescharacteristic
198C2×C4×D61—22no—
199C2×C4×D61C22×C411yescharacteristic
200C2×C4×D61C22×C411yescharacteristic
201C2×C4×D61C2×D411yescharacteristic
202C2×C4×D61C2×D411yescharacteristic
203C2×C4×D61C2×D411yescharacteristic
204C2×C4×D61C2×D411yescharacteristic
205C2×Dic122—21no—
206C2×Dic122—22no—
207C2×Dic122C22⋊C411yescharacteristic
208C2×Dic122C22×C412yes—
209M16×C61—42no—
210M16×C61—81no—
211C2×C8×C61—21no—
212C2×C8×C61—21no—
213C2×C8×C61—21no—
214C2×C8×C61—21no—
215C4⋊C4×C61—21no—
216C4⋊C4×C61—21no—
217C22⋊C4×C61—22no—
218C22⋊C4×C61—22no—
219C42×C61C22×C411yescharacteristic
220C42×C61C2×D411yescharacteristic
221C42×C61C2×D411yescharacteristic
222C42×C61C2411yescharacteristic
223C22⋊Dic61—22no—
224C22⋊Dic61—22no—
225C22⋊Dic61—22no—
226C22⋊Dic61—22no—
227C22⋊Dic61—22no—
228C22⋊Dic61C22⋊C411yescharacteristic
229C22⋊Dic61C22⋊C411yescharacteristic
230#11758198—22no—
231#11758198C22⋊C411yescharacteristic
232#11758198C22⋊C411yescharacteristic
233#11758198C22⋊C411yescharacteristic
234#11758198C22⋊C411yescharacteristic
235C4⋊Dic61—21no—
236C4⋊Dic61—21no—
237C4⋊Dic61—21no—
238C4⋊Dic61—22no—
239C4⋊Dic61C22⋊C411yescharacteristic
240C4⋊Dic61C22⋊C411yescharacteristic
241C4⋊Dic61C22×C412yes—
242#11758196—22no—
243#11758196—22no—
244#11758196—22no—
245#11758196—22no—
246#11758196—22no—
247#11758196C22⋊C411yescharacteristic
248#11758196C22⋊C411yescharacteristic
249#11758196C22⋊C411yescharacteristic
250#11758196C22⋊C411yescharacteristic
251C4×Dic61—22no—
252C4×Dic61—22no—
253C4×Dic61C22×C411yescharacteristic
254C4×Dic61C22×C411yescharacteristic
255C4×Dic61C2×D411yescharacteristic
256C4×Dic61C2×D411yescharacteristic
257C4×Dic61C2×D411yescharacteristic
258C4×Dic61C2×D411yescharacteristic
259C2×#92418—21no—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—21no—
263C2×#92418—42no—
264#11758189—42no—
265#11758189—42no—
266#11758189—81no—
267C8×D61—42no—
268C8×D61—42no—
269C8×D61—81no—
270C23×C61—22no—
271C23×C61C2×C22⋊C411yescharacteristic
272C22×D61C2×C22⋊C411yescharacteristic
273C22×D61C2×C22⋊C411yescharacteristic
274Q8×C61—42no—
275D4×C61—42no—
276D4×C61—41no—
277D4×C61—41no—
278D4×C61—41no—
279D4×C61—41no—
280D4×C61—82no—
281C2×C4×C61—21no—
282C2×C4×C61—21no—
283C2×C4×C61—21no—
284C2×C4×C61—21no—
285C2×C4×C61—22no—
286C2×C4×C61—41no—
287C2×C4×C61—82no—
288C2×C4×C61C2×C22⋊C411yescharacteristic
289C2×C4×C61C2×C22⋊C411yescharacteristic
290C2×C4×C61C2×C22⋊C411yescharacteristic
291C2×C4×C61C23×C411yescharacteristic
292C2×C4×C61C22×D411yescharacteristic
293C2×C4×C61C22×D411yescharacteristic
294C22⋊D61—22no—
295C22⋊D61—22no—
296C22⋊D61—44no—
297C22⋊D61—82no—
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—44no—
301C2×Dic61—82no—
302C2×Dic61C2×C22⋊C411yescharacteristic
303C2×Dic61C2×C22⋊C411yescharacteristic
304C2×Dic61C2×C22⋊C411yescharacteristic
305C2×Dic61C2×C22⋊C411yescharacteristic
306C2×Dic61C2×C22⋊C411yescharacteristic
307C2×Dic61C2×C22⋊C411yescharacteristic
308D244—22no—
309C4×D61—21no—
310C4×D61—21no—
311C4×D61—21no—
312C4×D61—21no—
313C4×D61—21no—
314C4×D61—21no—
315C4×D61—41no—
316C4×D61—41no—
317C4×D61—82no—
318C4×D61AGL(1,ℤ/8)12yes—
319C4×D61#13712yes—
320Dic122—22no—
321Dic122—41no—
322Dic122—41no—
323Dic122—42no—
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#17764—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#41712yes—
347C4×C61—21no—
348C4×C61—21no—
349C4×C61—21no—
350C4×C61—21no—
351C4×C61—42no—
352C4×C61C2×AGL(1,ℤ/8)11yescharacteristic
353C4×C61C2×#13711yescharacteristic
354C4×C61#57711yescharacteristic
355C4×C61#57811yescharacteristic
356Dic61—21no—
357Dic61—21no—
358Dic61—21no—
359Dic61—21no—
360Dic61—21no—
361Dic61—42no—
362Dic61—42no—
363Dic61#41712yes—
364#3511—611no—
365#2989—611no—
366#2906—611no—
367#1560—611no—
368#1560D6111yescharacteristic, complemented
369#1559—611no—
370#1559—611no—
371#1551—611no—
372#1551—611no—
373#1550—611no—
374#1550—611no—
375#1548—611no—
376#1547—611no—
377C2×#333—611no—
378#1540—611no—
379C2×C61—41no—
380C2×C61—82no—
381C2×C61#288811yescharacteristic
382C2×C61C2×#41711yescharacteristic
383C2×C61#289811yescharacteristic
384D61—22no—
385D61—41no—
386C2×#131—1221no—
387#556—612no—
388#555—1221no—
389#554—1221no—
390#553—1221no—
391#553—1221no—
392#548—612no—
393#548—612no—
394#547—612no—
395#542—1221no—
396#542—1221no—
397#537—1221no—
398#533—611no—
399#533—611no—
400#532—611no—
401#532—611no—
402#532C2×D6111yescharacteristic
403C2×C4⋊Q8—611no—
404#520—1221no—
405C4×#41—611no—
406#446—1221no—
407#436—1221no—
408#435—1221no—
409#435—1221no—
410#432—611no—
411#432—611no—
412#431—611no—
413#424—1221no—
414#424—1221no—
415#424—1221no—
416#423—611no—
417#423—611no—
418#423—611no—
419#423C2×D6111yescharacteristic
420#423C2×D6111yescharacteristic
421C2×C4⋊C8—611no—
422C2×C4⋊C8—611no—
423C2×C4⋊C8—611no—
424C2×C4⋊C8—611no—
425#333—611no—
426#333—611no—
427#333—611no—
428#333—611no—
429#333—611no—
430#333—611no—
431#333C2×D6111yescharacteristic
432#333C2×D6111yescharacteristic
433#332—611no—
434#332—611no—
435#332—611no—
436#332—611no—
437#331—611no—
438#331—611no—
439#331C2×D6111yescharacteristic
440#331C2×D6111yescharacteristic
441C61#1776411yescharacteristic, complemented, Sylow
442C2×#41—611no—
443C2×#41—612no—
444C2×#41—1221no—
445C2×#41C4×D6112yes—
446C22×Q8—612no—
447#131—2444no—
448C2×M16—21no—
449C2×M16—21no—
450C2×M16—1221no—
451C2×M16—1221no—
452C2×M16—1221no—
453C22×C8—1221no—
454C22×C8—1221no—
455C22×C8—1221no—
456C22×C8—1221no—
457C4⋊Q8—612no—
458C4⋊Q8—611no—
459C4⋊Q8—611no—
460C4⋊Q8—1221no—
461C4⋊Q8—1221no—
462C4⋊Q8C22×D6111yescharacteristic
463#127C22×D6111yescharacteristic
464#126—1222no—
465#126—1222no—
466#125—1221no—
467#125—1221no—
468#124—612no—
469#124—1221no—
470#124—1222no—
471#124—1222no—
472#124C4×D6112yes—
473#123—1222no—
474#123—1222no—
475C22⋊Q8—612no—
476C22⋊Q8—612no—
477C22⋊Q8—1222no—
478C22⋊Q8—1222no—
479C22⋊Q8—1221no—
480C22⋊Q8—1222no—
481C22⋊Q8—1221no—
482#121—21no—
483#121—21no—
484#121—612no—
485#121—1222no—
486#121—1221no—
487#121—1221no—
488#121—1221no—
489#121—1222no—
490#121—1222no—
491C4×Q8—611no—
492C4×Q8—611no—
493C4×Q8—612no—
494C4×Q8—612no—
495C4×Q8—1221no—
496C4×Q8—1221no—
497C4×D4—21no—
498C4×D4—21no—
499C4×D4—611no—
500C4×D4—611no—
501C4×D4—611no—
502C4×D4—611no—
503C4×D4—612no—
504C4×D4—611no—
505C4×D4—611no—
506C4×D4—1221no—
507C4×D4—1221no—
508C4×D4—1221no—
509C4×D4—1222no—
510C4×D4—1222no—
511#117—611no—
512#117—611no—
513#117—611no—
514#117—1222no—
515#117—1221no—
516#117—1221no—
517C2×C4⋊C4—1221no—
518C2×C4⋊C4—1221no—
519C2×C4⋊C4—1222no—
520C2×C42—611no—
521C2×C42—611no—
522C2×C42C22×D6111yescharacteristic
523C4⋊C8—21no—
524C4⋊C8—21no—
525C4⋊C8—611no—
526C4⋊C8—611no—
527C4⋊C8—611no—
528C4⋊C8—611no—
529C4⋊C8—1221no—
530C4⋊C8—1221no—
531C4⋊C8—1221no—
532C4⋊C8—1221no—
533C4⋊C8—1221no—
534C4⋊C8—1221no—
535C4⋊C8—1221no—
536C4⋊C8C22×D6111yescharacteristic
537C4⋊C8C22×D6111yescharacteristic
538C4⋊C8C22×D6111yescharacteristic
539C4⋊C8C22×D6111yescharacteristic
540C22⋊C8—1221no—
541C22⋊C8—1221no—
542C22⋊C8—1221no—
543#97—1221no—
544#97—1221no—
545C4×C8—1221no—
546#41—82no—
547#41—1222no—
548#41—1222no—
549#41—4882no—
550#41—2442no—
551#41—2442no—
552C2×Q8—611no—
553C2×Q8—612no—
554C2×Q8—1222no—
555C2×Q8—1221no—
556C2×Q8—4882no—
557C2×Q8C2×C4×D6112yes—
558C2×D4—22no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—611no—
562C2×D4—611no—
563C2×D4—611no—
564C2×D4—1222no—
565C2×D4—1222no—
566C2×D4C2×C4×D6112yes—
567C22×C4—22no—
568C22×C4—611no—
569C22×C4—611no—
570C22×C4—611no—
571C22×C4—611no—
572C22×C4—611no—
573C22×C4—611no—
574C22×C4—1222no—
575C22×C4—1222no—
576C22×C4—1222no—
577C22×C4C2×C4×D6111yescharacteristic
578C22×C4D4×D6111yescharacteristic
579C22×C4D4×D6111yescharacteristic
580M16—42no—
581M16—81no—
582M16—4881no—
583M16—2442no—
584M16—2442no—
585C2×C8—21no—
586C2×C8—21no—
587C2×C8—21no—
588C2×C8—21no—
589C2×C8—1221no—
590C2×C8—1221no—
591C2×C8—1221no—
592C2×C8—1221no—
593C2×C8—4881no—
594C2×C8—2442no—
595C2×C8—2442no—
596C2×C8—2442no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—611no—
600C4⋊C4—611no—
601C4⋊C4—611no—
602C4⋊C4—611no—
603C4⋊C4—611no—
604C4⋊C4—611no—
605C4⋊C4—612no—
606C4⋊C4—1222no—
607C4⋊C4—1222no—
608C4⋊C4—1222no—
609C4⋊C4—1222no—
610C4⋊C4—1221no—
611C4⋊C4—1221no—
612C4⋊C4—1221no—
613C4⋊C4—1222no—
614C4⋊C4—1222no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—611no—
618C22⋊C4—611no—
619C22⋊C4—611no—
620C22⋊C4—611no—
621C22⋊C4—611no—
622C22⋊C4—611no—
623C22⋊C4—1222no—
624C22⋊C4—1222no—
625C22⋊C4—1222no—
626C22⋊C4—1222no—
627C22⋊C4—1222no—
628C22⋊C4—1222no—
629C42—611no—
630C42—611no—
631C42—611no—
632C42—611no—
633C42—611no—
634C42—611no—
635C42—1222no—
636C42—1222no—
637C42C2×C4×D6111yescharacteristic
638C42D4×D6111yescharacteristic
639C42D4×D6111yescharacteristic
640C42C23×D6111yescharacteristic
641C23—22no—
642C23—611no—
643C23—611no—
644C23C22⋊C4×D6111yescharacteristic
645Q8—42no—
646Q8—1222no—
647Q8—4882no—
648Q8—2442no—
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—
730C4AGL(1,ℤ/8)×D6111yescharacteristic
731C4#137×D6111yescharacteristic
732C4#1684057211yescharacteristic
733C4#1684057811yescharacteristic
734C2—41no—
735C2—82no—
736C2—1222no—
737C2—2441no—
738C2#2145429511yescharacteristic
739C2#417×D6111yescharacteristic
740C2#2145435011yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC61×#1560C2
socleC22×C61C22×C22⋊C4
prime radical#21459720C2
cosocleC42×C61C24
hypercenter#1560D61
hypocenterC61#17764
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1560

Complements

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

NH ≅ G/Ntype
2. #21454933C2semidirect
3. #21454388C2semidirect
4. #21444551C2semidirect
5. #21444547C2semidirect
6. #21444546C2semidirect
7. #21444514C2semidirect
8. #21444511C2semidirect
9. #21444510C2semidirect
10. #21444506C2semidirect
11. #21444498C2semidirect
12. #21444493C2semidirect
13. #333×D61C2semidirect
14. #21444465C2semidirect
15. C61×#1560C2semidirect
368. #1560D61semidirect
441. C61#17764semidirect

Maximal subgroups

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

subgroupindex
#214597202
#214549332
#214543882
#214445512
#214445472
#214445462
#214445142
#214445112
#214445102
#214445062
#214444982
#214444932
#333×D612
#214444652
C61×#15602
#1776461