Finite Group Databasebeta

← #31965005

Subgroups — #31965005

Order 18176.

1046 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22597375C211yesmaximal, characteristic, complemented
2#22590983C211yesmaximal, characteristic, complemented
3#22586908C212yesmaximal, complemented
4#22586896C212yesmaximal, complemented
5#22586883C212yesmaximal, complemented
6#22586869C212yesmaximal, complemented
7#22586865C211yesmaximal, characteristic, complemented
8#22586848C211yesmaximal, characteristic, complemented
9#22586835C211yesmaximal, characteristic, complemented
10#22586826C211yesmaximal, characteristic, complemented
11C71×#3519C211yesmaximal, characteristic
12#17986077—21no—
13#17986071—22no—
14D4×C71⋊C8—21no—
15#17986056C2211yescharacteristic, complemented
16#17986052C2211yescharacteristic, complemented
17#17985963C2212yescomplemented
18C2×C22⋊(C71⋊C8)C2212yescomplemented
19#17985902—21no—
20#17985898—21no—
21#17985892—22no—
22#17985862C2212yescomplemented
23#17985859C2212yescomplemented
24C4×C4⋊Dic71C2211yescharacteristic, complemented
25#17985845C2211yescharacteristic, complemented
26#17985736C2211yescharacteristic, complemented
27#17985736C2212yescomplemented
28#17985736C2211yescharacteristic, complemented
29#17985733C2211yescharacteristic
30#17985733C2212yes—
31#17985733C2211yescharacteristic
32#17985733C2212yescomplemented
33#17985733C2212yescomplemented
34#17985733C2212yescomplemented
35#17985733C2212yescomplemented
36#555×C71C411yescharacteristic, complemented
37#554×C71C411yescharacteristic, complemented
38#553×C71—21no—
39#553×C71C412yescomplemented
40#550×C71C411yescharacteristic, complemented
41#546×C71—22no—
42#546×C71C412yescomplemented
43D42×C71—21no—
44D42×C71C411yescharacteristic, complemented
45#540×C71—21no—
46#538×C71—22no—
47#532×C71C2211yescharacteristic
48#529×C71C2211yescharacteristic
49#525×C71C2212yes—
50C2×#121×C71C2212yes—
51#518×C71—21no—
52C2×C4×D4×C71C2211yescharacteristic
53C2×#11765849—22no—
54C22×C71⋊C8—22no—
55C2×C4⋊Dic71—21no—
56C2×C4⋊Dic71—22no—
57C2×C22⋊Dic71—22no—
58C2×C22⋊Dic71—22no—
59C2×C4×Dic71—21no—
60C2×C4×Dic71—21no—
61C4⋊(C71⋊C8)—21no—
62C4⋊(C71⋊C8)—21no—
63C22⋊(C71⋊C8)—22no—
64C22⋊(C71⋊C8)—22no—
65C22⋊(C71⋊C8)C2311yescharacteristic
66C22⋊(C71⋊C8)C2311yescharacteristic
67C22⋊(C71⋊C8)C2312yes—
68#14556039—21no—
69C4×C71⋊C8—21no—
70C71⋊#95—21no—
71C71⋊#95—22no—
72C71⋊#95C2311yescharacteristic
73C71⋊#95C2311yescharacteristic
74C71⋊#95C2312yes—
75C2×#41×C71—21no—
76C2×#41×C71C2×C412yes—
77C22×D4×C71—22no—
78C22×D4×C71—21no—
79C22×D4×C71C2×C412yes—
80C22×D4×C71D411yescharacteristic
81C23×C4×C71C2312yes—
82C4⋊Q8×C71C2×C411yescharacteristic
83#127×C71—21no—
84#127×C71C2×C411yescharacteristic
85#126×C71—22no—
86#126×C71—21no—
87#125×C71—21no—
88#125×C71C2×C411yescharacteristic
89#124×C71—22no—
90#124×C71—21no—
91#124×C71C2×C411yescharacteristic
92#123×C71—22no—
93#123×C71—21no—
94#123×C71—22no—
95#123×C71—22no—
96C22⋊Q8×C71—22no—
97C22⋊Q8×C71C2×C412yes—
98C22⋊Q8×C71C2311yescharacteristic
99#121×C71—22no—
100#121×C71—21no—
101#121×C71—22no—
102#121×C71—22no—
103#121×C71—21no—
104#121×C71—21no—
105#121×C71—22no—
106#121×C71—22no—
107#121×C71C2×C412yes—
108#121×C71C2×C412yes—
109#121×C71C2×C412yes—
110#121×C71C2311yescharacteristic
111#121×C71C2312yes—
112#120×C71—22no—
113#120×C71—22no—
114#120×C71—22no—
115C4×Q8×C71C2×C411yescharacteristic
116C4×D4×C71—21no—
117C4×D4×C71—22no—
118C4×D4×C71—22no—
119C4×D4×C71—21no—
120C4×D4×C71—21no—
121C4×D4×C71—22no—
122C4×D4×C71—21no—
123C4×D4×C71C2×C411yescharacteristic
124C4×D4×C71C2×C412yes—
125C4×D4×C71C2×C411yescharacteristic
126C4×D4×C71C2×C412yes—
127C4×D4×C71C2×C411yescharacteristic
128C4×D4×C71D411yescharacteristic
129C4×D4×C71D412yes—
130C4×D4×C71D411yescharacteristic
131#117×C71—21no—
132#117×C71—21no—
133#117×C71C2×C412yes—
134C2×C4⋊C4×C71C2×C412yes—
135C2×C4⋊C4×C71D411yescharacteristic
136C2×C22⋊C4×C71—22no—
137C2×C22⋊C4×C71—22no—
138C2×C22⋊C4×C71D412yes—
139C2×C42×C71C2311yescharacteristic
140C22×Dic71—21no—
141C22×Dic71—21no—
142C22×Dic71—22no—
143#11765849—82no—
144C2×C71⋊C8—21no—
145C2×C71⋊C8—21no—
146C2×C71⋊C8—22no—
147C2×C71⋊C8—82no—
148C4⋊Dic71—42no—
149C4⋊Dic71—82no—
150C22⋊Dic71—82no—
151C22⋊Dic71—82no—
152C4×Dic71—42no—
153C4×Dic71—81no—
154C24×C71—22no—
155C24×C71C2×D412yes—
156#41×C71—81no—
157#41×C71—81no—
158#41×C71—82no—
159C2×Q8×C71—21no—
160C2×Q8×C71C22×C411yescharacteristic
161C2×D4×C71—22no—
162C2×D4×C71—22no—
163C2×D4×C71—21no—
164C2×D4×C71—22no—
165C2×D4×C71—22no—
166C2×D4×C71—22no—
167C2×D4×C71—21no—
168C2×D4×C71—21no—
169C2×D4×C71—22no—
170C2×D4×C71—42no—
171C2×D4×C71—44no—
172C2×D4×C71—82no—
173C2×D4×C71—82no—
174C2×D4×C71—82no—
175C2×D4×C71C22⋊C411yescharacteristic
176C2×D4×C71C22⋊C411yescharacteristic
177C2×D4×C71C22⋊C412yes—
178C2×D4×C71C22×C411yescharacteristic
179C2×D4×C71C22×C412yes—
180C22×C4×C71—22no—
181C22×C4×C71—21no—
182C22×C4×C71—22no—
183C22×C4×C71—22no—
184C22×C4×C71—82no—
185C22×C4×C71C22×C412yes—
186C22×C4×C71C22×C412yes—
187C22×C4×C71C2×D411yescharacteristic
188C22×C4×C71C2×D411yescharacteristic
189C22×C4×C71C2×D412yes—
190C22×C4×C71C2×D412yes—
191C22×C4×C71C2×D412yes—
192C22×C4×C71C2411yescharacteristic
193C4⋊C4×C71—22no—
194C4⋊C4×C71—21no—
195C4⋊C4×C71—21no—
196C4⋊C4×C71—21no—
197C4⋊C4×C71—22no—
198C4⋊C4×C71—21no—
199C4⋊C4×C71—21no—
200C4⋊C4×C71C22⋊C411yescharacteristic
201C4⋊C4×C71C22⋊C411yescharacteristic
202C4⋊C4×C71C22⋊C412yes—
203C4⋊C4×C71C22×C411yescharacteristic
204C4⋊C4×C71C22×C412yes—
205C4⋊C4×C71C22×C411yescharacteristic
206C22⋊C4×C71—22no—
207C22⋊C4×C71—22no—
208C22⋊C4×C71—21no—
209C22⋊C4×C71—21no—
210C22⋊C4×C71—22no—
211C22⋊C4×C71—22no—
212C22⋊C4×C71—21no—
213C22⋊C4×C71—22no—
214C22⋊C4×C71—21no—
215C22⋊C4×C71—22no—
216C22⋊C4×C71—21no—
217C22⋊C4×C71—22no—
218C22⋊C4×C71C22⋊C412yes—
219C22⋊C4×C71C22⋊C412yes—
220C22⋊C4×C71C22⋊C412yes—
221C22⋊C4×C71C22⋊C412yes—
222C42×C71—22no—
223C42×C71—21no—
224C42×C71C22×C411yescharacteristic
225C42×C71C22×C411yescharacteristic
226C42×C71C2×D411yescharacteristic
227C42×C71C2×D411yescharacteristic
228C23×C71—22no—
229C23×C71—22no—
230C23×C71—21no—
231C23×C71—22no—
232C23×C71—42no—
233C23×C71—42no—
234C23×C71—44no—
235C23×C71—82no—
236C23×C71—82no—
237C23×C71C2×C22⋊C412yes—
238C23×C71C2×C22⋊C412yes—
239C23×C71C22×D411yescharacteristic
240Q8×C71—41no—
241Q8×C71—81no—
242D4×C71—22no—
243D4×C71—22no—
244D4×C71—42no—
245D4×C71—41no—
246D4×C71—42no—
247D4×C71—44no—
248D4×C71—41no—
249D4×C71—42no—
250D4×C71—41no—
251D4×C71—42no—
252D4×C71—42no—
253D4×C71—82no—
254D4×C71—81no—
255D4×C71—82no—
256D4×C71—82no—
257D4×C71—82no—
258C2×C4×C71—21no—
259C2×C4×C71—21no—
260C2×C4×C71—22no—
261C2×C4×C71—21no—
262C2×C4×C71—21no—
263C2×C4×C71—22no—
264C2×C4×C71—21no—
265C2×C4×C71—41no—
266C2×C4×C71—42no—
267C2×C4×C71—42no—
268C2×C4×C71—42no—
269C2×C4×C71—42no—
270C2×C4×C71—42no—
271C2×C4×C71—42no—
272C2×C4×C71—82no—
273C2×C4×C71—82no—
274C2×C4×C71—82no—
275C2×C4×C71C2×C22⋊C412yes—
276C2×C4×C71C2×C22⋊C411yescharacteristic
277C2×C4×C71C2×C22⋊C411yescharacteristic
278C2×C4×C71C2×C22⋊C411yescharacteristic
279C2×C4×C71C2×C22⋊C412yes—
280C2×C4×C71C2×C22⋊C411yescharacteristic
281C2×C4×C71C23×C411yescharacteristic
282C2×C4×C71C22×D411yescharacteristic
283C2×Dic71—41no—
284C2×Dic71—41no—
285C2×Dic71—41no—
286C2×Dic71—42no—
287C2×Dic71—42no—
288C2×Dic71—41no—
289C2×Dic71—42no—
290C2×Dic71—41no—
291C2×Dic71—41no—
292C71⋊C8—41no—
293C71⋊C8—42no—
294C71⋊C8—41no—
295C22×C71—21no—
296C22×C71—21no—
297C22×C71—22no—
298C22×C71—22no—
299C22×C71—22no—
300C22×C71—22no—
301C22×C71—22no—
302C22×C71—22no—
303C22×C71—42no—
304C22×C71—41no—
305C22×C71—42no—
306C22×C71—41no—
307C22×C71—41no—
308C22×C71—42no—
309C22×C71—82no—
310C22×C71—82no—
311C22×C71—164no—
312C22×C71C22×C22⋊C411yescharacteristic
313C22×C71#57611yescharacteristic
314C22×C71#57711yescharacteristic
315C4×C71—21no—
316C4×C71—21no—
317C4×C71—22no—
318C4×C71—22no—
319C4×C71—21no—
320C4×C71—21no—
321C4×C71—21no—
322C4×C71—41no—
323C4×C71—41no—
324C4×C71—42no—
325C4×C71—41no—
326C4×C71#42112yes—
327Dic71—81no—
328Dic71—82no—
329Dic71—81no—
330#17599—711nomaximal, Sylow
331C2×C71—21no—
332C2×C71—21no—
333C2×C71—42no—
334C2×C71—42no—
335C2×C71—82no—
336C2×C71—81no—
337C2×C71#288311yescharacteristic
338C2×C71#289711yescharacteristic
339C2×C71C2×#42111yescharacteristic
340#3519D7111yescharacteristic
341#2974—711no—
342#2319—711no—
343#1519—712no—
344#1516—712no—
345#1513—712no—
346#1510—712no—
347#1509—711no—
348#1505—711no—
349#1502—711no—
350#1500—711no—
351C71#1759911yescharacteristic, complemented, Sylow
352#555Dic7111yescharacteristic, complemented
353#554Dic7111yescharacteristic, complemented
354#553—21no—
355#553Dic7112yescomplemented
356#550Dic7111yescharacteristic, complemented
357#546—22no—
358#546Dic7112yescomplemented
359D42—21no—
360D42Dic7111yescharacteristic, complemented
361#540—21no—
362#538—22no—
363#532C2×D7111yescharacteristic
364#529C2×D7111yescharacteristic
365#525C2×D7112yes—
366C2×#121C2×D7112yes—
367#518—21no—
368C2×C4×D4C2×D7111yescharacteristic
369#436—1421no—
370#435—1422no—
371C8×D4—1421no—
372#432—711no—
373#431—711no—
374#407—712no—
375C2×C22⋊C8—712no—
376#390—1421no—
377#389—1421no—
378#388—1422no—
379#381—712no—
380#380—712no—
381C4×C4⋊C4—711no—
382#376—711no—
383#328—711no—
384#328—711no—
385#328—712no—
386#327—711no—
387#327—711no—
388#327—712no—
389#327—712no—
390#327—712no—
391#327—712no—
392#327—712no—
393C2×#41—21no—
394C2×#41C2×Dic7112yes—
395C22×D4—22no—
396C22×D4—21no—
397C22×D4C2×Dic7112yes—
398C22×D4C22⋊D7111yescharacteristic
399C23×C4C22×D7112yes—
400C2×M16—1422no—
401C22×C8—1422no—
402C4⋊Q8C2×Dic7111yescharacteristic
403#127—21no—
404#127C2×Dic7111yescharacteristic
405#126—22no—
406#126—21no—
407#125—21no—
408#125C2×Dic7111yescharacteristic
409#124—22no—
410#124—21no—
411#124C2×Dic7111yescharacteristic
412#123—22no—
413#123—21no—
414#123—22no—
415#123—22no—
416C22⋊Q8—22no—
417C22⋊Q8C2×Dic7112yes—
418C22⋊Q8C22×D7111yescharacteristic
419#121—22no—
420#121—21no—
421#121—22no—
422#121—22no—
423#121—21no—
424#121—21no—
425#121—22no—
426#121—22no—
427#121C2×Dic7112yes—
428#121C2×Dic7112yes—
429#121C2×Dic7112yes—
430#121C22×D7111yescharacteristic
431#121C22×D7112yes—
432#120—22no—
433#120—22no—
434#120—22no—
435C4×Q8C2×Dic7111yescharacteristic
436C4×D4—21no—
437C4×D4—22no—
438C4×D4—22no—
439C4×D4—21no—
440C4×D4—21no—
441C4×D4—22no—
442C4×D4—21no—
443C4×D4C2×Dic7111yescharacteristic
444C4×D4C2×Dic7112yes—
445C4×D4C2×Dic7111yescharacteristic
446C4×D4C2×Dic7112yes—
447C4×D4C2×Dic7111yescharacteristic
448C4×D4C22⋊D7111yescharacteristic
449C4×D4C22⋊D7112yes—
450C4×D4C22⋊D7111yescharacteristic
451#117—21no—
452#117—21no—
453#117C2×Dic7112yes—
454C2×C4⋊C4—1421no—
455C2×C4⋊C4—1422no—
456C2×C4⋊C4C2×Dic7112yes—
457C2×C4⋊C4C22⋊D7111yescharacteristic
458C2×C22⋊C4—22no—
459C2×C22⋊C4—22no—
460C2×C22⋊C4—1422no—
461C2×C22⋊C4—1422no—
462C2×C22⋊C4C22⋊D7112yes—
463C2×C42—1421no—
464C2×C42—1421no—
465C2×C42C22×D7111yescharacteristic
466C4⋊C8—1421no—
467C4⋊C8—1421no—
468C22⋊C8—711no—
469C22⋊C8—712no—
470C22⋊C8—711no—
471C22⋊C8—1422no—
472C22⋊C8—1422no—
473#97—1421no—
474C4×C8—1421no—
475#95—711no—
476#95—711no—
477#95—712no—
478#95—1421no—
479#95—1422no—
480C24—22no—
481C24C2×C22⋊D7112yes—
482#41—81no—
483#41—81no—
484#41—82no—
485C2×Q8—21no—
486C2×Q8C22×Dic7111yescharacteristic
487C2×D4—22no—
488C2×D4—21no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—22no—
492C2×D4—22no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—22no—
496C2×D4—42no—
497C2×D4—44no—
498C2×D4—82no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4C22⋊Dic7111yescharacteristic
502C2×D4C22⋊Dic7111yescharacteristic
503C2×D4C22⋊Dic7112yes—
504C2×D4C22×Dic7111yescharacteristic
505C2×D4C22×Dic7112yes—
506C22×C4—22no—
507C22×C4—21no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—82no—
511C22×C4—1421no—
512C22×C4—1421no—
513C22×C4—1422no—
514C22×C4C22×Dic7112yes—
515C22×C4C22×Dic7112yes—
516C22×C4C2×C22⋊D7111yescharacteristic
517C22×C4C2×C22⋊D7111yescharacteristic
518C22×C4C2×C22⋊D7112yes—
519C22×C4C2×C22⋊D7112yes—
520C22×C4C2×C22⋊D7112yes—
521C22×C4C23×D7111yescharacteristic
522M16—5682no—
523C2×C8—5682no—
524C2×C8—1421no—
525C2×C8—1421no—
526C2×C8—1422no—
527C4⋊C4—21no—
528C4⋊C4—22no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—22no—
533C4⋊C4—21no—
534C4⋊C4—2842no—
535C4⋊C4—5682no—
536C4⋊C4C22⋊Dic7111yescharacteristic
537C4⋊C4C22⋊Dic7111yescharacteristic
538C4⋊C4C22⋊Dic7112yes—
539C4⋊C4C22×Dic7111yescharacteristic
540C4⋊C4C22×Dic7112yes—
541C4⋊C4C22×Dic7111yescharacteristic
542C22⋊C4—21no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—21no—
546C22⋊C4—22no—
547C22⋊C4—21no—
548C22⋊C4—22no—
549C22⋊C4—22no—
550C22⋊C4—21no—
551C22⋊C4—22no—
552C22⋊C4—21no—
553C22⋊C4—22no—
554C22⋊C4—5682no—
555C22⋊C4—5682no—
556C22⋊C4C22⋊Dic7112yes—
557C22⋊C4C22⋊Dic7112yes—
558C22⋊C4C22⋊Dic7112yes—
559C22⋊C4C22⋊Dic7112yes—
560C42—22no—
561C42—21no—
562C42—2842no—
563C42—5681no—
564C42C22×Dic7111yescharacteristic
565C42C22×Dic7111yescharacteristic
566C42C2×C22⋊D7111yescharacteristic
567C42C2×C22⋊D7111yescharacteristic
568C23—22no—
569C23—22no—
570C23—21no—
571C23—22no—
572C23—42no—
573C23—42no—
574C23—44no—
575C23—82no—
576C23—82no—
577C23C2×C22⋊Dic7112yes—
578C23C2×C22⋊Dic7112yes—
579C23C22×C22⋊D7111yescharacteristic
580Q8—41no—
581Q8—81no—
582D4—22no—
583D4—22no—
584D4—42no—
585D4—41no—
586D4—42no—
587D4—44no—
588D4—41no—
589D4—42no—
590D4—41no—
591D4—42no—
592D4—42no—
593D4—82no—
594D4—81no—
595D4—82no—
596D4—82no—
597D4—82no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—82no—
613C2×C4—82no—
614C2×C4—82no—
615C2×C4—2841no—
616C2×C4—2841no—
617C2×C4—2841no—
618C2×C4—2842no—
619C2×C4—2842no—
620C2×C4—2841no—
621C2×C4—2842no—
622C2×C4—2841no—
623C2×C4—2841no—
624C2×C4C2×C22⋊Dic7112yes—
625C2×C4C2×C22⋊Dic7111yescharacteristic
626C2×C4C2×C22⋊Dic7111yescharacteristic
627C2×C4C2×C22⋊Dic7111yescharacteristic
628C2×C4C2×C22⋊Dic7112yes—
629C2×C4C2×C22⋊Dic7111yescharacteristic
630C2×C4C23×Dic7111yescharacteristic
631C2×C4C22×C22⋊D7111yescharacteristic
632C8—2841no—
633C8—2842no—
634C8—2841no—
635C22—21no—
636C22—21no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—42no—
644C22—41no—
645C22—41no—
646C22—42no—
647C22—42no—
648C22—41no—
649C22—82no—
650C22—82no—
651C22—164no—
652C22C22×C22⋊Dic7111yescharacteristic
653C22#1798680211yescharacteristic
654C22#1798681011yescharacteristic
655C4—21no—
656C4—21no—
657C4—21no—
658C4—21no—
659C4—21no—
660C4—22no—
661C4—22no—
662C4—41no—
663C4—42no—
664C4—41no—
665C4—41no—
666C4—5681no—
667C4—5682no—
668C4—5681no—
669C4#1798601612yes—
670C2—21no—
671C2—21no—
672C2—42no—
673C2—42no—
674C2—81no—
675C2—82no—
676C2#2259680111yescharacteristic
677C2#2259686611yescharacteristic
678C2C2×#1798601611yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
Fitting, prime radicalC71×#3519C2
socleC22×C71C22×C22⋊C4
cosocleC22×C4×C71C24
hypercenter#3519D71
hypocenterC71#17599
LCSG ▷ C2×C4×C71 ▷ C22×C71 ▷ C71
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3519

Complements

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

NH ≅ G/Ntype
1. #22597375C2semidirect
2. #22590983C2semidirect
3. #22586908C2semidirect
4. #22586896C2semidirect
5. #22586883C2semidirect
6. #22586869C2semidirect
7. #22586865C2semidirect
8. #22586848C2semidirect
9. #22586835C2semidirect
10. #22586826C2semidirect
15. #17986056C22semidirect
16. #17986052C22semidirect
17. #17985963C22semidirect
18. C2×C22⋊(C71⋊C8)C22semidirect
22. #17985862C22semidirect
23. #17985859C22semidirect
24. C4×C4⋊Dic71C22semidirect
25. #17985845C22semidirect
26. #17985736C22semidirect
27. #17985736C22semidirect
28. #17985736C22semidirect
32. #17985733C22semidirect
33. #17985733C22semidirect
34. #17985733C22semidirect
35. #17985733C22semidirect
36. #555×C71C4semidirect
37. #554×C71C4semidirect
39. #553×C71C4semidirect
40. #550×C71C4semidirect
42. #546×C71C4semidirect
44. D42×C71C4semidirect
351. C71#17599semidirect
352. #555Dic71semidirect
353. #554Dic71semidirect
355. #553Dic71semidirect
356. #550Dic71semidirect
358. #546Dic71semidirect
360. D42Dic71semidirect

Maximal subgroups

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

subgroupindex
#225973752
#225909832
#225869082
#225868962
#225868832
#225868692
#225868652
#225868482
#225868352
#225868262
C71×#35192
#1759971