Finite Group Databasebeta

← #32023584

Subgroups — #32023584

Order 18176.

764 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#14556111C211yesmaximal, characteristic
2#22589136C211yesmaximal, characteristic
3#22589062C211yesmaximal, characteristic, complemented
4#22589055C211yesmaximal, characteristic, complemented
5#22588952C211yesmaximal, characteristic, complemented
6#22588950C211yesmaximal, characteristic, complemented
7#22588949C211yesmaximal, characteristic, complemented
8#22588947C211yesmaximal, characteristic, complemented
9#22588907C211yesmaximal, characteristic, complemented
10#22588901C211yesmaximal, characteristic, complemented
11#22588629C211yesmaximal, characteristic
12#22588519C211yesmaximal, characteristic, complemented
13#22588516C211yesmaximal, characteristic, complemented
14#22588320C211yesmaximal, characteristic, complemented
15C71×#1797C211yesmaximal, characteristic, complemented
16C22×C8×D71C2211yescharacteristic
17C2×#14556111C411yescharacteristic
18C2×C4×C22⋊D71C2211yescharacteristic
19C2×C4⋊(C71⋊C8)C2211yescharacteristic
20C2×C4⋊(C71⋊C8)C2211yescharacteristic
21C2×Dic71⋊C8C2211yescharacteristic
22C2×Dic71⋊C8C2211yescharacteristic
23C2×Dic71⋊C8C2211yescharacteristic
24C2×C22⋊(C71⋊C8)C2211yescharacteristic
25C2×C22⋊(C71⋊C8)C2211yescharacteristic
26C2×(C2×D71)⋊C8C2211yescharacteristic
27C2×(C2×D71)⋊C8C2211yescharacteristic
28C2×(C2×D71)⋊C8C2211yescharacteristic
29C2×#14556038C2211yescharacteristic
30C2×#14556038C2211yescharacteristic
31C2×C8×Dic71C2211yescharacteristic
32#17985890C411yescharacteristic
33#17985890C411yescharacteristic
34#17985883C411yescharacteristic
35#17985883C411yescharacteristic
36#17985878C411yescharacteristic
37#17985872C411yescharacteristic
38#17985862C411yescharacteristic
39C4×Dic71⋊C4C2211yescharacteristic
40C4×Dic71⋊C4C2211yescharacteristic
41C4×(C2×D71)⋊C4C2211yescharacteristic
42C4×(C2×D71)⋊C4C2211yescharacteristic
43C4×C22⋊Dic71C2211yescharacteristic
44#17985754C2211yescharacteristic
45#17985754C2211yescharacteristic
46#17985753C2211yescharacteristic
47#17985753C2211yescharacteristic
48#17985753C2211yescharacteristic
49#17985753C2211yescharacteristic
50#17985753C2211yescharacteristic
51#17985753C2211yescharacteristic
52C22×C42×C71C2211yescharacteristic
53C2×C4⋊C8×C71C2211yescharacteristic
54C2×C4⋊C8×C71C2211yescharacteristic
55C2×C22⋊C8×C71C2211yescharacteristic
56C2×C22⋊C8×C71C2211yescharacteristic
57#336×C71C2211yescharacteristic
58#336×C71C2211yescharacteristic
59C22×C22⋊D71C2×C411yescharacteristic
60C22×C4×D71C2311yescharacteristic
61C22×C71⋊C8C2311yescharacteristic
62C22×C71⋊C8C2311yescharacteristic
63C22×C71⋊C8C2311yescharacteristic
64C22×C71⋊C8C2311yescharacteristic
65C2×C8×D71—41no—
66C2×C8×D71—41no—
67C2×C8×D71—41no—
68#14556111—24no—
69C4×C22⋊D71—41no—
70C4×C22⋊D71—41no—
71C2×Dic71⋊C4C2×C411yescharacteristic
72C2×Dic71⋊C4C2×C411yescharacteristic
73C2×Dic71⋊C4C2×C411yescharacteristic
74C2×Dic71⋊C4C2×C411yescharacteristic
75C2×Dic71⋊C4C2×C411yescharacteristic
76C2×C22⋊Dic71C2×C411yescharacteristic
77C2×C22⋊Dic71C2×C411yescharacteristic
78C2×C22⋊Dic71C2×C411yescharacteristic
79C2×(C2×D71)⋊C4C2×C411yescharacteristic
80C2×(C2×D71)⋊C4C2×C411yescharacteristic
81C2×(C2×D71)⋊C4C2×C411yescharacteristic
82C2×(C2×D71)⋊C4C2×C411yescharacteristic
83C2×(C2×D71)⋊C4C2×C411yescharacteristic
84C2×C4×Dic71C2311yescharacteristic
85C2×C4×Dic71C2311yescharacteristic
86C2×C4×Dic71C2311yescharacteristic
87C4⋊(C71⋊C8)—41no—
88C4⋊(C71⋊C8)—41no—
89Dic71⋊C8—41no—
90Dic71⋊C8—41no—
91Dic71⋊C8—41no—
92C22⋊(C71⋊C8)—41no—
93C22⋊(C71⋊C8)—41no—
94(C2×D71)⋊C8—41no—
95(C2×D71)⋊C8—41no—
96(C2×D71)⋊C8—41no—
97#14556038—41no—
98#14556038—41no—
99C8×Dic71—41no—
100C71⋊#95C2×C411yescharacteristic
101C71⋊#95C2×C411yescharacteristic
102C71⋊#95C2×C411yescharacteristic
103C71⋊#95C2×C411yescharacteristic
104C71⋊#95C2×C411yescharacteristic
105C71⋊#95C2×C411yescharacteristic
106C71⋊#95C2×C411yescharacteristic
107C71⋊#95C2×C411yescharacteristic
108C71⋊#95C2×C411yescharacteristic
109C71⋊#95C2×C411yescharacteristic
110C23×C4×C71C2×C411yescharacteristic
111C23×C4×C71C2×C411yescharacteristic
112C23×C4×C71C2311yescharacteristic
113C22×C8×C71C2311yescharacteristic
114C22×C8×C71C2311yescharacteristic
115C22×C8×C71C2311yescharacteristic
116C22×C8×C71C2311yescharacteristic
117C2×C42×C71—41no—
118C2×C42×C71—41no—
119C2×C42×C71C2×C411yescharacteristic
120C2×C42×C71C2×C411yescharacteristic
121C2×C42×C71C2311yescharacteristic
122C2×C42×C71C2311yescharacteristic
123C4⋊C8×C71—41no—
124C4⋊C8×C71—41no—
125C22⋊C8×C71—41no—
126C22⋊C8×C71—41no—
127C23×D71C22×C411yescharacteristic
128C2×C22⋊D71—22no—
129C2×C22⋊D71—22no—
130C2×C22⋊D71—41no—
131C22×Dic71C22×C411yescharacteristic
132C22×Dic71C22×C411yescharacteristic
133C22×Dic71C22×C411yescharacteristic
134C22×Dic71C22×C411yescharacteristic
135C22×Dic71C22×C411yescharacteristic
136C22×Dic71C22×C411yescharacteristic
137C22×Dic71C22×C411yescharacteristic
138C2×C4×D71—21no—
139C2×C4×D71—21no—
140C2×C4×D71—21no—
141C2×C4×D71—21no—
142C2×C4×D71—21no—
143C2×C4×D71—21no—
144C2×C71⋊C8—21no—
145C2×C71⋊C8—21no—
146C2×C71⋊C8—21no—
147C2×C71⋊C8—21no—
148C2×C71⋊C8—21no—
149C2×C71⋊C8—21no—
150C2×C71⋊C8—21no—
151C2×C71⋊C8—21no—
152C2×C71⋊C8—21no—
153C2×C71⋊C8—21no—
154C2×C71⋊C8—21no—
155C2×C71⋊C8—21no—
156C8×D71—44no—
157Dic71⋊C4—22no—
158Dic71⋊C4—22no—
159Dic71⋊C4—22no—
160Dic71⋊C4—41no—
161Dic71⋊C4—41no—
162C22⋊Dic71—22no—
163C22⋊Dic71—22no—
164C22⋊Dic71—41no—
165(C2×D71)⋊C4—22no—
166(C2×D71)⋊C4—22no—
167(C2×D71)⋊C4—41no—
168(C2×D71)⋊C4—41no—
169(C2×D71)⋊C4M1614yes—
170C4×Dic71—21no—
171C4×Dic71—21no—
172C4×Dic71—21no—
173C4×Dic71—21no—
174C4×Dic71—21no—
175C4×Dic71—21no—
176C24×C71C22×C411yescharacteristic
177C22×C4×C71—22no—
178C22×C4×C71—22no—
179C22×C4×C71—22no—
180C22×C4×C71—21no—
181C22×C4×C71—21no—
182C22×C4×C71—21no—
183C22×C4×C71—21no—
184C22×C4×C71—21no—
185C22×C4×C71—21no—
186C22×C4×C71—41no—
187C22×C4×C71—41no—
188C22×C4×C71—41no—
189C22×C4×C71C22×C411yescharacteristic
190C22×C4×C71C22×C411yescharacteristic
191C22×C4×C71C22×C411yescharacteristic
192C22×C4×C71C22×C411yescharacteristic
193C22×C4×C71C22×C411yescharacteristic
194C22×C4×C71C2411yescharacteristic
195C2×C8×C71—21no—
196C2×C8×C71—21no—
197C2×C8×C71—21no—
198C2×C8×C71—21no—
199C2×C8×C71—21no—
200C2×C8×C71—21no—
201C2×C8×C71—21no—
202C2×C8×C71—21no—
203C2×C8×C71—21no—
204C2×C8×C71—21no—
205C2×C8×C71—21no—
206C2×C8×C71—21no—
207C42×C71—21no—
208C42×C71—21no—
209C42×C71—21no—
210C42×C71—21no—
211C42×C71—41no—
212C42×C71—41no—
213C23×C71—21no—
214C23×C71—21no—
215C23×C71—21no—
216C23×C71—21no—
217C23×C71—21no—
218C23×C71—21no—
219C23×C71#13112yes—
220C23×C71C23×C411yescharacteristic
221C22×D71—21no—
222C22×D71—21no—
223C22×D71—21no—
224C22×D71—21no—
225C22×D71—21no—
226C22×D71—21no—
227C22×D71C2×M1612yes—
228C2×C4×C71—21no—
229C2×C4×C71—21no—
230C2×C4×C71—21no—
231C2×C4×C71—21no—
232C2×C4×C71—21no—
233C2×C4×C71—21no—
234C2×C4×C71—21no—
235C2×C4×C71—21no—
236C2×C4×C71—21no—
237C2×C4×C71—21no—
238C2×C4×C71—21no—
239C2×C4×C71—21no—
240C2×C4×C71—21no—
241C2×C4×C71—44no—
242C2×C4×C71—44no—
243C2×C4×C71—41no—
244C2×C4×C71—41no—
245C2×C4×C71—41no—
246C2×C4×C71—41no—
247C2×C4×C71C2×M1612yes—
248C2×C4×C71#13112yes—
249C2×C4×C71H(5,𝔽2)11yescharacteristic
250C2×C4×C71H(5,𝔽2)11yescharacteristic
251C2×C4×C71H(5,𝔽2)11yescharacteristic
252C2×C4×C71H(5,𝔽2)11yescharacteristic
253C2×C4×C712−1+411yescharacteristic
254C2×C4×C712−1+411yescharacteristic
255C22⋊D71—44no—
256C2×Dic71—21no—
257C2×Dic71—21no—
258C2×Dic71—21no—
259C2×Dic71—21no—
260C2×Dic71—21no—
261C2×Dic71—21no—
262C2×Dic71—21no—
263C2×Dic71—21no—
264C2×Dic71—21no—
265C2×Dic71—21no—
266C2×Dic71—21no—
267C2×Dic71—21no—
268C2×Dic71—21no—
269C2×Dic71—21no—
270C2×Dic71—21no—
271C2×Dic71—21no—
272C2×Dic71—21no—
273C2×Dic71—21no—
274C2×Dic71—21no—
275C2×Dic71—21no—
276C2×Dic71C2×M1612yes—
277C4×D71—41no—
278C4×D71—41no—
279C4×D71—41no—
280C4×D71—41no—
281C8×C71—41no—
282C8×C71—41no—
283C8×C71—41no—
284C8×C71—41no—
285C71⋊C8—41no—
286C71⋊C8—41no—
287C71⋊C8—41no—
288C71⋊C8—41no—
289C22×C71—22no—
290C22×C71—22no—
291C22×C71—22no—
292C22×C71—41no—
293C22×C71—41no—
294C22×C71—41no—
295C22×C71—41no—
296C22×C71#51811yescharacteristic
297C22×C71#52011yescharacteristic
298C22×C71#52011yescharacteristic
299C22×C71C22×M1611yescharacteristic
300C22×C71C2×#13111yescharacteristic
301C22×C71C2×#13111yescharacteristic
302C22×C71#56811yescharacteristic
303C2×D71—22no—
304C2×D71—22no—
305C2×D71—22no—
306C2×D71—41no—
307C2×D71—41no—
308C2×D71—41no—
309C2×D71—41no—
310C4×C71—22no—
311C4×C71—22no—
312C4×C71—41no—
313C4×C71—41no—
314C4×C71—41no—
315C4×C71#56011yescharacteristic
316C4×C71#56211yescharacteristic
317C4×C71#56211yescharacteristic
318C4×C71#56311yescharacteristic
319Dic71—22no—
320Dic71—41no—
321Dic71—41no—
322Dic71—41no—
323Dic71—41no—
324Dic71—41no—
325Dic71—41no—
326#23318—711nomaximal, Sylow
327C2×C71—42no—
328C2×C71#237611yescharacteristic
329C2×C71#297411yescharacteristic
330C2×C71#297611yescharacteristic
331C2×C71#298911yescharacteristic
332C2×C71#299011yescharacteristic
333C2×C71#299211yescharacteristic
334C2×C71#299411yescharacteristic
335D71—42no—
336C4×#123—711no—
337#1955—711no—
338#1940—711no—
339#1939—711no—
340#1924—711no—
341#1924—711no—
342#1923—711no—
343#1923—711no—
344#1917—711no—
345#1917—711no—
346#1869—711no—
347#1850—711no—
348#1850—711no—
349#1797—711no—
350#1797D7111yescharacteristic, complemented
351C71#2331811yescharacteristic, complemented, Sylow
352C23×C8—711no—
353C2×#123—711no—
354C2×C4×D4—711no—
355C22×C42C2×D7111yescharacteristic
356C2×C4⋊C8—711no—
357C2×C4⋊C8—711no—
358C2×C4⋊C8—711no—
359C2×C4⋊C8—711no—
360C2×C4⋊C8—711no—
361C2×C4⋊C8C2×D7111yescharacteristic
362C2×C4⋊C8C2×D7111yescharacteristic
363C2×C22⋊C8—711no—
364C2×C22⋊C8—711no—
365C2×C22⋊C8—711no—
366C2×C22⋊C8—711no—
367C2×C22⋊C8—711no—
368C2×C22⋊C8C2×D7111yescharacteristic
369C2×C22⋊C8C2×D7111yescharacteristic
370C2×#97—711no—
371C2×#97—711no—
372C2×C4×C8—711no—
373#388—711no—
374#388—711no—
375#387—711no—
376#387—711no—
377#386—711no—
378#385—711no—
379#381—711no—
380C4×C4⋊C4—711no—
381C4×C4⋊C4—711no—
382C4×C22⋊C4—711no—
383C4×C22⋊C4—711no—
384C4×C22⋊C4—711no—
385#336—711no—
386#336—711no—
387#336—711no—
388#336—711no—
389#336—711no—
390#336—711no—
391#336—711no—
392#336—711no—
393#336C2×D7111yescharacteristic
394#336C2×D7111yescharacteristic
395C22×D4—711no—
396C23×C4—711no—
397C23×C4C4×D7111yescharacteristic
398C23×C4C4×D7111yescharacteristic
399C23×C4C22×D7111yescharacteristic
400C22×C8—2841no—
401C22×C8—2841no—
402C22×C8—2841no—
403C22×C8—711no—
404C22×C8—711no—
405C22×C8—711no—
406C22×C8—711no—
407C22×C8C22×D7111yescharacteristic
408C22×C8C22×D7111yescharacteristic
409C22×C8C22×D7111yescharacteristic
410C22×C8C22×D7111yescharacteristic
411#123—1424no—
412C4×D4—2841no—
413C4×D4—2841no—
414C2×C4⋊C4—711no—
415C2×C4⋊C4—711no—
416C2×C4⋊C4—711no—
417C2×C4⋊C4—711no—
418C2×C4⋊C4—711no—
419C2×C22⋊C4—711no—
420C2×C22⋊C4—711no—
421C2×C22⋊C4—711no—
422C2×C22⋊C4—711no—
423C2×C22⋊C4—711no—
424C2×C22⋊C4—711no—
425C2×C22⋊C4—711no—
426C2×C22⋊C4—711no—
427C2×C42—41no—
428C2×C42—41no—
429C2×C42—711no—
430C2×C42—711no—
431C2×C42—711no—
432C2×C42C4×D7111yescharacteristic
433C2×C42C4×D7111yescharacteristic
434C2×C42C22×D7111yescharacteristic
435C2×C42C22×D7111yescharacteristic
436C4⋊C8—41no—
437C4⋊C8—41no—
438C4⋊C8—2841no—
439C4⋊C8—2841no—
440C4⋊C8—2841no—
441C4⋊C8—2841no—
442C4⋊C8—2841no—
443C22⋊C8—41no—
444C22⋊C8—41no—
445C22⋊C8—2841no—
446C22⋊C8—2841no—
447C22⋊C8—2841no—
448C22⋊C8—2841no—
449C22⋊C8—2841no—
450#97—2841no—
451#97—2841no—
452C4×C8—2841no—
453#95—711no—
454#95—711no—
455#95—711no—
456#95—711no—
457#95—711no—
458#95—711no—
459#95—711no—
460#95—711no—
461#95—711no—
462#95—711no—
463C24—711no—
464C24C2×C4×D7111yescharacteristic
465C2×D4—2841no—
466C2×D4—1422no—
467C2×D4—1422no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—41no—
478C22×C4—41no—
479C22×C4—41no—
480C22×C4—711no—
481C22×C4—711no—
482C22×C4—711no—
483C22×C4—711no—
484C22×C4—711no—
485C22×C4—711no—
486C22×C4—711no—
487C22×C4—1421no—
488C22×C4—1421no—
489C22×C4—1421no—
490C22×C4—1421no—
491C22×C4—1421no—
492C22×C4—1421no—
493C22×C4C2×C4×D7111yescharacteristic
494C22×C4C2×C4×D7111yescharacteristic
495C22×C4C2×C4×D7111yescharacteristic
496C22×C4C2×C4×D7111yescharacteristic
497C22×C4C2×C4×D7111yescharacteristic
498C22×C4C23×D7111yescharacteristic
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—2844no—
512C2×C8—1421no—
513C2×C8—1421no—
514C2×C8—1421no—
515C2×C8—1421no—
516C2×C8—1421no—
517C2×C8—1421no—
518C2×C8—1421no—
519C2×C8—1421no—
520C2×C8—1421no—
521C2×C8—1421no—
522C2×C8—1421no—
523C2×C8—1421no—
524C4⋊C4—2841no—
525C4⋊C4—2841no—
526C4⋊C4—1422no—
527C4⋊C4—1422no—
528C4⋊C4—1422no—
529C22⋊C4—2841no—
530C22⋊C4—2841no—
531C22⋊C4—2841no—
532C22⋊C4—714no—
533C22⋊C4—1422no—
534C22⋊C4—1422no—
535C22⋊C4—1422no—
536C22⋊C4—1422no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—41no—
542C42—41no—
543C42—1421no—
544C42—1421no—
545C42—1421no—
546C42—1421no—
547C42—1421no—
548C42—1421no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—712no—
556C23—1421no—
557C23—1421no—
558C23—1421no—
559C23—1421no—
560C23—1421no—
561C23—1421no—
562C23#1455613612yes—
563C23C22×C4×D7111yescharacteristic
564D4—2844no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—44no—
579C2×C4—44no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—2841no—
585C2×C4—2841no—
586C2×C4—2841no—
587C2×C4—2841no—
588C2×C4—712no—
589C2×C4—1421no—
590C2×C4—1421no—
591C2×C4—1421no—
592C2×C4—1421no—
593C2×C4—1421no—
594C2×C4—1421no—
595C2×C4—1421no—
596C2×C4—1421no—
597C2×C4—1421no—
598C2×C4—1421no—
599C2×C4—1421no—
600C2×C4—1421no—
601C2×C4—1421no—
602C2×C4—1421no—
603C2×C4—1421no—
604C2×C4—1421no—
605C2×C4—1421no—
606C2×C4—1421no—
607C2×C4—1421no—
608C2×C4—1421no—
609C2×C4M16×D7112yes—
610C2×C4#1455613412yes—
611C2×C4#1455617311yescharacteristic
612C2×C4#1455617311yescharacteristic
613C2×C4#1455617311yescharacteristic
614C2×C4#1455617411yescharacteristic
615C2×C4#1455617511yescharacteristic
616C2×C4#1455617611yescharacteristic
617C8—41no—
618C8—41no—
619C8—41no—
620C8—41no—
621C8—2841no—
622C8—2841no—
623C8—2841no—
624C8—2841no—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—2841no—
633C22—2841no—
634C22—2841no—
635C22—2841no—
636C22—1422no—
637C22—1422no—
638C22—1422no—
639C22#1798647211yescharacteristic
640C22#1798647911yescharacteristic
641C22#1798648011yescharacteristic
642C22C2×M16×D7111yescharacteristic
643C22C2×#1455613411yescharacteristic
644C22C2×#1455613611yescharacteristic
645C22#1798676511yescharacteristic
646C4—22no—
647C4—22no—
648C4—41no—
649C4—41no—
650C4—41no—
651C4—2841no—
652C4—2841no—
653C4—2841no—
654C4—2841no—
655C4—2841no—
656C4—2841no—
657C4—1422no—
658C4#1798673711yescharacteristic
659C4#1798674411yescharacteristic
660C4#1798674511yescharacteristic
661C4#1798675011yescharacteristic
662C2—42no—
663C2—2842no—
664C2#2259148411yescharacteristic
665C2#2259737611yescharacteristic
666C2#2259738511yescharacteristic
667C2#2259745411yescharacteristic
668C2#2259746111yescharacteristic
669C2#2259748111yescharacteristic
670C2#2259749611yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutator, socleC23×C71C23×C4
FittingC71×#1797C2
prime radicalC22×C22⋊D71C2×C4
cosocleC22×C4×C71C24
hypercenter#1797D71
hypocenterC71#23318
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ #1797

Complements

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

NH ≅ G/Ntype
3. #22589062C2semidirect
4. #22589055C2semidirect
5. #22588952C2semidirect
6. #22588950C2semidirect
7. #22588949C2semidirect
8. #22588947C2semidirect
9. #22588907C2semidirect
10. #22588901C2semidirect
12. #22588519C2semidirect
13. #22588516C2semidirect
14. #22588320C2semidirect
15. C71×#1797C2semidirect
350. #1797D71semidirect
351. C71#23318semidirect

Maximal subgroups

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

subgroupindex
C4×#145561112
#225891362
#225890622
#225890552
#225889522
#225889502
#225889492
#225889472
#225889072
#225889012
#225886292
#225885192
#225885162
#225883202
C71×#17972
#2331871