Finite Group Databasebeta

← #29648514

Subgroups — #29648514

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#21459731C211yesmaximal, characteristic
2#21454927C211yesmaximal, characteristic, complemented
3#21454480C211yesmaximal, characteristic, complemented
4#21444523C211yesmaximal, characteristic, complemented
5#21444522C211yesmaximal, characteristic, complemented
6#21444519C211yesmaximal, characteristic, complemented
7#21444516C211yesmaximal, characteristic, complemented
8#21444502C211yesmaximal, characteristic, complemented
9#21444495C211yesmaximal, characteristic, complemented
10#21444482C211yesmaximal, characteristic, complemented
11#21444467C211yesmaximal, characteristic, complemented
12#21444467C211yesmaximal, characteristic, complemented
13#21444466C211yesmaximal, characteristic, complemented
14#332×D61C211yesmaximal, characteristic, complemented
15C61×#1544C211yesmaximal, characteristic, complemented
16#16840484—21no—
17#16840475C412yes—
18#16840468C412yes—
19#16840465C412yes—
20#16840456C412yes—
21#16840424—21no—
22#16840422—21no—
23#16840414—21no—
24#16840385—21no—
25#16840384—21no—
26#16840342—21no—
27#16840317C2211yescharacteristic
28#16840313C2211yescharacteristic
29#16840313C2211yescharacteristic
30#16840312C2211yescharacteristic
31C4⋊Q8×D61C2211yescharacteristic
32#16840244—21no—
33C4×#11758222C2211yescharacteristic
34C8×Dic122—21no—
35C8×D244—21no—
36#16839825—21no—
37#16839825—21no—
38#16839821—21no—
39#16839820—21no—
40#16839819C2211yescharacteristic
41#16839818C2211yescharacteristic
42#16839814C2211yescharacteristic
43#16839814C2211yescharacteristic
44#16839814C2211yescharacteristic
45#16839784C2211yescharacteristic
46C2×C4⋊#92418C2211yescharacteristic
47C4⋊C8×D61C2211yescharacteristic
48C4⋊C8×D61C2211yescharacteristic
49C4⋊C8×D61C2211yescharacteristic
50#16839727—21no—
51#16839716—21no—
52#16839509C2211yescharacteristic
53#16839509C2211yescharacteristic
54#16839508C2211yescharacteristic
55#16839508C2211yescharacteristic
56#16839508C2211yescharacteristic
57#16839508C2211yescharacteristic
58#16839507C2211yescharacteristic
59#16839507C2211yescharacteristic
60#16839505C2211yescharacteristic
61#16839505C2211yescharacteristic
62#16839505C2211yescharacteristic
63#16839505C2211yescharacteristic
64C61×#533C2211yescharacteristic
65C61×#431C2211yescharacteristic
66C61×#431C2211yescharacteristic
67C61×#332C2211yescharacteristic
68C61×#332C2211yescharacteristic
69C61×#332C2211yescharacteristic
70C61×#332C2211yescharacteristic
71C2×#11758226—21no—
72C2×#11758226—21no—
73C2×#11758222—21no—
74C2×#11758222D411yescharacteristic
75C2×Q8×D61—21no—
76C2×#11758189—21no—
77C22×#92418—21no—
78C2×C8×D61—21no—
79C2×C8×D61—21no—
80C2×C8×D61—21no—
81#14519777C2311yescharacteristic
82#14519776—21no—
83#14519776C2×C412yes—
84#14519775—21no—
85#14519774C2311yescharacteristic
86#14519772—22no—
87#14519771—22no—
88#14519768C2×C412yes—
89#14519766—21no—
90#14519766—21no—
91#14519765—21no—
92#14519765—22no—
93#14519763—22no—
94#14519762—22no—
95#14519759—22no—
96#14519757—21no—
97#14519757—22no—
98#14519755—22no—
99#14519755—22no—
100#14519753—21no—
101#14519752—22no—
102#14519752—21no—
103#14519752—21no—
104#14519752C2×C412yes—
105#14519752C2×C412yes—
106#14519751—21no—
107#14519751C2×C412yes—
108#14519750—22no—
109#14519750—22no—
110Q8×Dic61—21no—
111C4×Dic122C2×C411yescharacteristic
112C4×Dic122D411yescharacteristic
113#14519742—21no—
114C4×D244—21no—
115C4×D244—22no—
116C4×D244C2×C411yescharacteristic
117C4×D244C2×C412yes—
118C4×D244D411yescharacteristic
119#14519739—22no—
120#14519739—21no—
121#14519739—21no—
122#14519739C2×C412yes—
123#14519739C2×C412yes—
124C4×C22⋊D61C2×C411yescharacteristic
125C4×C22⋊D61C2×C411yescharacteristic
126C4×C22⋊D61D411yescharacteristic
127C4×C22⋊D61D411yescharacteristic
128#14519736D411yescharacteristic
129#14519735C2×C412yes—
130#14519734—22no—
131#14519734D411yescharacteristic
132#14519734D411yescharacteristic
133C4⋊C4×D61—21no—
134C4⋊C4×D61—22no—
135C4⋊C4×D61C2×C412yes—
136C42×D61C2311yescharacteristic
137C42×D61C2311yescharacteristic
138C4⋊#92418—21no—
139C4⋊#92418C2311yescharacteristic
140C4⋊#92418C2311yescharacteristic
141C4⋊#92418C2311yescharacteristic
142C4⋊#92418C2311yescharacteristic
143#14519706—21no—
144#14519706—21no—
145#14519706—21no—
146#14519706—21no—
147C22⋊#92418—21no—
148#14519689—21no—
149#14519689—21no—
150#14519689—21no—
151#14519689—21no—
152#14519688—21no—
153#14519687—21no—
154C8×Dic61—21no—
155C8×Dic61—21no—
156C8×Dic61—21no—
157C4⋊Q8×C61C2311yescharacteristic
158C4⋊Q8×C61C2311yescharacteristic
159#125×C61C2×C412yes—
160C22⋊Q8×C61—21no—
161C22⋊Q8×C61—21no—
162C4×Q8×C61—21no—
163C4×Q8×C61—21no—
164#117×C61C2×C412yes—
165C2×C42×C61C2311yescharacteristic
166C4⋊C8×C61C2311yescharacteristic
167C4⋊C8×C61C2311yescharacteristic
168C4⋊C8×C61C2311yescharacteristic
169C4⋊C8×C61C2311yescharacteristic
170C22⋊C8×C61—21no—
171C22⋊C8×C61—21no—
172C4×C8×C61—21no—
173C4×C8×C61—21no—
174C2×Q8×C61—21no—
175C2×Q8×C61—21no—
176C22×C4×C61C22×C411yescharacteristic
177C22×C4×C61C2×D411yescharacteristic
178C22×C4×C61C2×D411yescharacteristic
179C2×C22⋊D61—22no—
180C2×C22⋊D61C22⋊C411yescharacteristic
181C2×C22⋊D61C22⋊C411yescharacteristic
182#11758226—42no—
183#11758226—42no—
184#11758226—81no—
185#11758226—81no—
186Q8×D61—81no—
187Q8×D61—81no—
188#11758222—22no—
189#11758222—22no—
190#11758222—81no—
191#11758222—81no—
192C2×D244—22no—
193C2×D244—21no—
194C2×D244—21no—
195C2×D244—22no—
196C2×D244C22⋊C411yescharacteristic
197C2×D244C22×C412yes—
198C2×C4×D61—22no—
199C2×C4×D61—22no—
200C2×C4×D61—22no—
201C2×C4×D61—22no—
202C2×C4×D61C22×C411yescharacteristic
203C2×C4×D61C22×C411yescharacteristic
204C2×C4×D61C2×D411yescharacteristic
205C2×C4×D61C2×D411yescharacteristic
206C2×C4×D61C2×D411yescharacteristic
207C2×C4×D61C2×D411yescharacteristic
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—
215C4⋊C4×C61—22no—
216C4⋊C4×C61—22no—
217C4⋊C4×C61—21no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61C22×C412yes—
220C4⋊C4×C61C22×C412yes—
221C22⋊C4×C61—22no—
222C42×C61—22no—
223C42×C61C22×C411yescharacteristic
224C42×C61C2×D411yescharacteristic
225C42×C61C2×D411yescharacteristic
226C42×C61C2411yescharacteristic
227C22⋊Dic61C22⋊C411yescharacteristic
228C22⋊Dic61C22⋊C411yescharacteristic
229#11758198—22no—
230#11758198—22no—
231#11758198—22no—
232#11758198—22no—
233#11758198—22no—
234#11758198—22no—
235#11758198—22no—
236#11758198C22⋊C411yescharacteristic
237#11758198C22⋊C411yescharacteristic
238#11758198C22⋊C411yescharacteristic
239#11758198C22⋊C411yescharacteristic
240C4⋊Dic61—21no—
241C4⋊Dic61—22no—
242C4⋊Dic61C22⋊C411yescharacteristic
243C4⋊Dic61C22⋊C411yescharacteristic
244C4⋊Dic61C22×C412yes—
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×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—81no—
264#11758189—42no—
265C8×D61—42no—
266C8×D61—81no—
267C8×D61—81no—
268C23×C61C2×C22⋊C411yescharacteristic
269C22×D61—22no—
270C22×D61C2×C22⋊C411yescharacteristic
271C22×D61C2×C22⋊C411yescharacteristic
272Q8×C61—41no—
273Q8×C61—41no—
274Q8×C61—41no—
275Q8×C61—41no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—21no—
279C2×C4×C61—21no—
280C2×C4×C61—22no—
281C2×C4×C61—22no—
282C2×C4×C61—41no—
283C2×C4×C61C2×C22⋊C411yescharacteristic
284C2×C4×C61C2×C22⋊C411yescharacteristic
285C2×C4×C61C2×C22⋊C411yescharacteristic
286C2×C4×C61C23×C411yescharacteristic
287C2×C4×C61C22×D411yescharacteristic
288C2×C4×C61C22×D411yescharacteristic
289C22⋊D61—22no—
290C22⋊D61—22no—
291C22⋊D61—82no—
292C2×Dic61—22no—
293C2×Dic61C2×C22⋊C411yescharacteristic
294C2×Dic61C2×C22⋊C411yescharacteristic
295C2×Dic61C2×C22⋊C411yescharacteristic
296C2×Dic61C2×C22⋊C411yescharacteristic
297C2×Dic61C2×C22⋊C411yescharacteristic
298C2×Dic61C2×C22⋊C411yescharacteristic
299D244—22no—
300D244—42no—
301D244—44no—
302D244—41no—
303D244—41no—
304D244—41no—
305D244—41no—
306D244—82no—
307C4×D61—21no—
308C4×D61—21no—
309C4×D61—21no—
310C4×D61—21no—
311C4×D61—21no—
312C4×D61—21no—
313C4×D61—41no—
314C4×D61—41no—
315C4×D61—44no—
316C4×D61—82no—
317C4×D61—82no—
318C4×D61—82no—
319C4×D61#13512yes—
320C4×D61#13512yes—
321Dic122—22no—
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×C61C22×C22⋊C411yescharacteristic
338C2×D61—21no—
339C2×D61—21no—
340C2×D61—21no—
341C2×D61—21no—
342C2×D61—21no—
343C2×D61—42no—
344C2×D61—42no—
345C2×D61—42no—
346C2×D61#41612yes—
347C4×C61—21no—
348C4×C61—21no—
349C4×C61—21no—
350C4×C61—21no—
351C4×C61—42no—
352C4×C61—42no—
353C4×C61C2×#13511yescharacteristic
354C4×C61C2×#13511yescharacteristic
355C4×C61#57611yescharacteristic
356C4×C61#57711yescharacteristic
357Dic61—21no—
358Dic61—21no—
359Dic61—21no—
360Dic61—21no—
361Dic61—21no—
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#1544D6111yescharacteristic, complemented
375#1540—611no—
376#1540—611no—
377#1540—611no—
378C2×#332—611no—
379C2×C61—41no—
380C2×C61#288911yescharacteristic
381C2×C61C2×#41611yescharacteristic
382C2×C61#289711yescharacteristic
383D61—22no—
384D61—41no—
385D61—82no—
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#533C2×D6111yescharacteristic
399#532—611no—
400#532—611no—
401#532—611no—
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#431C2×D6111yescharacteristic
417#431C2×D6111yescharacteristic
418#423—611no—
419C2×C4⋊C8—611no—
420C2×C4⋊C8—611no—
421C2×C4⋊C8—611no—
422C2×C4⋊C8—611no—
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#332C2×D6111yescharacteristic
434#332C2×D6111yescharacteristic
435#332C2×D6111yescharacteristic
436#332C2×D6111yescharacteristic
437#331—611no—
438#331—611no—
439#331—611no—
440#331—611no—
441C61#1772711yescharacteristic, complemented, Sylow
442C2×#41—611no—
443C2×#41—1221no—
444C2×#41—1221no—
445C2×#41—1221no—
446C22×Q8—1221no—
447C2×M16—1221no—
448C22×C8—1221no—
449C22×C8—1221no—
450C22×C8—1221no—
451C22×C8—1221no—
452C4⋊Q8—612no—
453C4⋊Q8—611no—
454C4⋊Q8—1221no—
455C4⋊Q8—1221no—
456C4⋊Q8C22×D6111yescharacteristic
457C4⋊Q8C22×D6111yescharacteristic
458#127—611no—
459#126—1222no—
460#126—1222no—
461#125—612no—
462#125C4×D6112yes—
463#124—1222no—
464#124—1221no—
465#124—1221no—
466#124—1222no—
467#124—1221no—
468#123—1222no—
469#123—1222no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—1222no—
473C22⋊Q8—1222no—
474C22⋊Q8—1221no—
475C22⋊Q8—1222no—
476C22⋊Q8—1221no—
477#121—612no—
478#121—612no—
479#121—612no—
480#121—1222no—
481#121—1222no—
482#121—1221no—
483#121—1221no—
484#121—1222no—
485#121—1221no—
486C4×Q8—21no—
487C4×Q8—21no—
488C4×Q8—611no—
489C4×Q8—611no—
490C4×Q8—1221no—
491C4×Q8—1221no—
492C4×D4—611no—
493C4×D4—611no—
494C4×D4—611no—
495C4×D4—611no—
496C4×D4—612no—
497C4×D4—612no—
498C4×D4—611no—
499C4×D4—612no—
500C4×D4—611no—
501C4×D4—1222no—
502C4×D4—1221no—
503C4×D4—1221no—
504C4×D4—1222no—
505C4×D4—1221no—
506#117—611no—
507#117—611no—
508#117—611no—
509#117—612no—
510#117—1222no—
511#117C4×D6112yes—
512C2×C4⋊C4—612no—
513C2×C4⋊C4—1222no—
514C2×C4⋊C4—1221no—
515C2×C42—611no—
516C2×C42—611no—
517C2×C42C22×D6111yescharacteristic
518C4⋊C8—611no—
519C4⋊C8—611no—
520C4⋊C8—611no—
521C4⋊C8—611no—
522C4⋊C8—1221no—
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—21no—
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—21no—
542C4×C8—1221no—
543C4×C8—1221no—
544C4×C8—1221no—
545#41—1222no—
546#41—1222no—
547#41—4881no—
548#41—4881no—
549#41—4881no—
550#41—4881no—
551#41—2442no—
552#41—2442no—
553C2×Q8—21no—
554C2×Q8—21no—
555C2×Q8—611no—
556C2×Q8—1222no—
557C2×Q8—1221no—
558C2×Q8—4881no—
559C2×Q8—4881no—
560C2×D4—611no—
561C2×D4—611no—
562C2×D4—612no—
563C2×D4—611no—
564C2×D4—1222no—
565C2×D4—1222no—
566C2×D4—1222no—
567C2×D4—1221no—
568C2×D4—1221no—
569C22×C4—611no—
570C22×C4—611no—
571C22×C4—611no—
572C22×C4—611no—
573C22×C4—611no—
574C22×C4—611no—
575C22×C4—1222no—
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—1221no—
588C2×C8—1221no—
589C2×C8—1221no—
590C2×C8—1221no—
591C2×C8—4881no—
592C2×C8—4881no—
593C2×C8—4881no—
594C2×C8—2442no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—22no—
598C4⋊C4—22no—
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⋊C4C2×C4×D6112yes—
612C4⋊C4C2×C4×D6112yes—
613C22⋊C4—22no—
614C22⋊C4—611no—
615C22⋊C4—611no—
616C22⋊C4—611no—
617C22⋊C4—611no—
618C22⋊C4—611no—
619C22⋊C4—611no—
620C22⋊C4—1222no—
621C22⋊C4—1222no—
622C22⋊C4—1222no—
623C22⋊C4—1222no—
624C22⋊C4—1222no—
625C22⋊C4—1222no—
626C22⋊C4—1222no—
627C42—22no—
628C42—611no—
629C42—611no—
630C42—611no—
631C42—611no—
632C42—611no—
633C42—611no—
634C42—1222no—
635C42C2×C4×D6111yescharacteristic
636C42D4×D6111yescharacteristic
637C42D4×D6111yescharacteristic
638C42C23×D6111yescharacteristic
639C23—611no—
640C23—611no—
641C23—1222no—
642C23C22⋊C4×D6111yescharacteristic
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—1222no—
648Q8—4882no—
649Q8—2441no—
650Q8—2441no—
651D4—1222no—
652D4—1222no—
653D4—1222no—
654D4—4882no—
655D4—4882no—
656D4—2442no—
657D4—2444no—
658D4—2441no—
659D4—2441no—
660D4—2441no—
661D4—2441no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—41no—
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—4882no—
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—612no—
708C22—1221no—
709C22—1221no—
710C22—1221no—
711C22—1221no—
712C22—1221no—
713C22—2442no—
714C22—2442no—
715C22—2442no—
716C22C2×C22⋊C4×D6111yescharacteristic
717C4—21no—
718C4—21no—
719C4—21no—
720C4—21no—
721C4—42no—
722C4—42no—
723C4—612no—
724C4—1221no—
725C4—1221no—
726C4—1221no—
727C4—1221no—
728C4—1221no—
729C4—2442no—
730C4#135×D6111yescharacteristic
731C4#135×D6111yescharacteristic
732C4#1684056411yescharacteristic
733C4#1684056911yescharacteristic
734C2—41no—
735C2—1222no—
736C2—4882no—
737C2—2441no—
738C2#2145429911yescharacteristic
739C2#416×D6111yescharacteristic
740C2#2145434111yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC61×#1544C2
socleC22×C61C22×C22⋊C4
prime radical#21459731C2
cosocleC42×C61C24
hypercenter#1544D61
hypocenterC61#17727
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1544

Complements

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

NH ≅ G/Ntype
2. #21454927C2semidirect
3. #21454480C2semidirect
4. #21444523C2semidirect
5. #21444522C2semidirect
6. #21444519C2semidirect
7. #21444516C2semidirect
8. #21444502C2semidirect
9. #21444495C2semidirect
10. #21444482C2semidirect
11. #21444467C2semidirect
12. #21444467C2semidirect
13. #21444466C2semidirect
14. #332×D61C2semidirect
15. C61×#1544C2semidirect
374. #1544D61semidirect
441. C61#17727semidirect

Maximal subgroups

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

subgroupindex
#214597312
#214549272
#214544802
#214445232
#214445222
#214445192
#214445162
#214445022
#214444952
#214444822
#214444672
#214444662
#332×D612
C61×#15442
#1772761