Finite Group Databasebeta

← #32004502

Subgroups — #32004502

Order 18176.

878 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986073C211yesmaximal, characteristic
2C2×#17985955C211yesmaximal, characteristic, complemented
3#22591597C211yesmaximal, characteristic
4#22588951C211yesmaximal, characteristic, complemented
5#22588944C211yesmaximal, characteristic, complemented
6#22588902C211yesmaximal, characteristic, complemented
7#22588895C211yesmaximal, characteristic, complemented
8#22588630C211yesmaximal, characteristic
9#22588517C211yesmaximal, characteristic, complemented
10#22588211C211yesmaximal, characteristic, complemented
11#22588206C211yesmaximal, characteristic, complemented
12#22588126C211yesmaximal, characteristic, complemented
13#22588115C211yesmaximal, characteristic, complemented
14#22588110C211yesmaximal, characteristic, complemented
15C71×#1818C211yesmaximal, characteristic, complemented
16C22×#11765849C2211yescharacteristic
17C23×C71⋊C8C2211yescharacteristic
18C22×C8×D71C2211yescharacteristic
19C2×C4×C22⋊D71C2211yescharacteristic
20#17986073—24no—
21C2×Dic71⋊C8C2211yescharacteristic
22C2×Dic71⋊C8C2211yescharacteristic
23C2×Dic71⋊C8C2211yescharacteristic
24C2×(C2×D71)⋊C8C2211yescharacteristic
25C2×(C2×D71)⋊C8C2211yescharacteristic
26C2×(C2×D71)⋊C8C2211yescharacteristic
27#17985955—24no—
28C2×#14556039C2211yescharacteristic
29C2×#14556039C2211yescharacteristic
30C2×#14556038C2211yescharacteristic
31C2×#14556038C2211yescharacteristic
32C2×C4×C71⋊C8C2211yescharacteristic
33C2×C4×C71⋊C8C2211yescharacteristic
34C2×C8×Dic71C2211yescharacteristic
35#17985937C411yescharacteristic
36#17985934C411yescharacteristic
37#17985930C411yescharacteristic
38#17985927C411yescharacteristic
39#17985927C411yescharacteristic
40#17985925C411yescharacteristic
41#17985914C411yescharacteristic
42#17985914C411yescharacteristic
43C4×Dic71⋊C4C2211yescharacteristic
44C4×Dic71⋊C4C2211yescharacteristic
45C4×(C2×D71)⋊C4C2211yescharacteristic
46C4×(C2×D71)⋊C4C2211yescharacteristic
47C4×C22⋊Dic71C2211yescharacteristic
48#17985753C2211yescharacteristic
49#17985753C2211yescharacteristic
50#17985753C2211yescharacteristic
51#17985753C2211yescharacteristic
52#17985753C2211yescharacteristic
53#17985753C2211yescharacteristic
54C2×#117×C71C2211yescharacteristic
55C2×C22⋊C8×C71C2211yescharacteristic
56C2×C22⋊C8×C71C2211yescharacteristic
57#336×C71C2211yescharacteristic
58#336×C71C2211yescharacteristic
59#336×C71C2211yescharacteristic
60#336×C71C2211yescharacteristic
61C22×C22⋊D71C2×C411yescharacteristic
62C22×C4×D71C2311yescharacteristic
63C2×#11765849—22no—
64C2×#11765849—22no—
65C2×#11765849D414yes—
66C22×C71⋊C8—22no—
67C22×C71⋊C8—22no—
68C22×C71⋊C8—22no—
69C22×C71⋊C8C2311yescharacteristic
70C22×C71⋊C8C2311yescharacteristic
71C22×C71⋊C8C2311yescharacteristic
72C22×C71⋊C8C2311yescharacteristic
73C2×C8×D71—22no—
74C2×C8×D71—22no—
75C2×C8×D71—22no—
76C4×C22⋊D71—22no—
77C4×C22⋊D71—22no—
78C2×Dic71⋊C4C2×C411yescharacteristic
79C2×Dic71⋊C4C2×C411yescharacteristic
80C2×Dic71⋊C4C2×C411yescharacteristic
81C2×Dic71⋊C4C2×C411yescharacteristic
82C2×Dic71⋊C4C2×C411yescharacteristic
83C2×C22⋊Dic71C2×C411yescharacteristic
84C2×C22⋊Dic71C2×C411yescharacteristic
85C2×C22⋊Dic71C2×C411yescharacteristic
86C2×(C2×D71)⋊C4C2×C411yescharacteristic
87C2×(C2×D71)⋊C4C2×C411yescharacteristic
88C2×(C2×D71)⋊C4C2×C411yescharacteristic
89C2×(C2×D71)⋊C4C2×C411yescharacteristic
90C2×(C2×D71)⋊C4C2×C411yescharacteristic
91C2×C4×Dic71C2311yescharacteristic
92C2×C4×Dic71C2311yescharacteristic
93C2×C4×Dic71C2311yescharacteristic
94Dic71⋊C8—22no—
95Dic71⋊C8—22no—
96Dic71⋊C8—22no—
97(C2×D71)⋊C8—22no—
98(C2×D71)⋊C8—22no—
99(C2×D71)⋊C8—22no—
100#14556039—22no—
101#14556039—22no—
102#14556038—22no—
103#14556038—22no—
104C4×C71⋊C8—22no—
105C4×C71⋊C8—22no—
106C8×Dic71—22no—
107C71⋊#95C2×C411yescharacteristic
108C71⋊#95C2×C411yescharacteristic
109C71⋊#95C2×C411yescharacteristic
110C71⋊#95C2×C411yescharacteristic
111C71⋊#95C2×C411yescharacteristic
112C71⋊#95C2×C411yescharacteristic
113C71⋊#95C2×C411yescharacteristic
114C71⋊#95C2×C411yescharacteristic
115C71⋊#95C2×C411yescharacteristic
116C71⋊#95C2×C411yescharacteristic
117C23×C4×C71C2311yescharacteristic
118C22×C8×C71C2311yescharacteristic
119C22×C8×C71C2311yescharacteristic
120C22×C8×C71C2311yescharacteristic
121C22×C8×C71C2311yescharacteristic
122#117×C71—22no—
123#117×C71—22no—
124C2×C4⋊C4×C71C2×C411yescharacteristic
125C2×C4⋊C4×C71C2×C411yescharacteristic
126C2×C22⋊C4×C71C2×C411yescharacteristic
127C2×C22⋊C4×C71C2×C411yescharacteristic
128C2×C42×C71C2311yescharacteristic
129C2×C42×C71C2311yescharacteristic
130C22⋊C8×C71—22no—
131C22⋊C8×C71—22no—
132C23×D71C22×C411yescharacteristic
133C2×C22⋊D71—22no—
134C2×C22⋊D71—22no—
135C2×C22⋊D71—41no—
136C22×Dic71C22×C411yescharacteristic
137C22×Dic71C22×C411yescharacteristic
138C22×Dic71C22×C411yescharacteristic
139C22×Dic71C22×C411yescharacteristic
140C22×Dic71C22×C411yescharacteristic
141C22×Dic71C22×C411yescharacteristic
142C22×Dic71C22×C411yescharacteristic
143C2×C4×D71—21no—
144C2×C4×D71—21no—
145C2×C4×D71—21no—
146C2×C4×D71—21no—
147C2×C4×D71—21no—
148C2×C4×D71—21no—
149#11765849—28no—
150C2×C71⋊C8—28no—
151C2×C71⋊C8—21no—
152C2×C71⋊C8—21no—
153C2×C71⋊C8—21no—
154C2×C71⋊C8—21no—
155C2×C71⋊C8—21no—
156C2×C71⋊C8—21no—
157C2×C71⋊C8C2×D412yes—
158C2×C71⋊C8C2×D412yes—
159C2×C71⋊C8#4112yes—
160C2×C71⋊C8#4112yes—
161C2×C71⋊C8#4112yes—
162C2×C71⋊C8#4112yes—
163C8×D71—44no—
164Dic71⋊C4—22no—
165Dic71⋊C4—22no—
166Dic71⋊C4—41no—
167Dic71⋊C4—41no—
168Dic71⋊C4—41no—
169C22⋊Dic71—22no—
170C22⋊Dic71—22no—
171C22⋊Dic71—41no—
172(C2×D71)⋊C4—22no—
173(C2×D71)⋊C4—22no—
174(C2×D71)⋊C4—22no—
175(C2×D71)⋊C4—22no—
176(C2×D71)⋊C4—41no—
177C4×Dic71—21no—
178C4×Dic71—21no—
179C4×Dic71—21no—
180C4×Dic71—21no—
181C4×Dic71—21no—
182C4×Dic71—21no—
183C24×C71C22×C411yescharacteristic
184C22×C4×C71—21no—
185C22×C4×C71—21no—
186C22×C4×C71—21no—
187C22×C4×C71—21no—
188C22×C4×C71C22×C411yescharacteristic
189C22×C4×C71C22×C411yescharacteristic
190C22×C4×C71C22×C411yescharacteristic
191C22×C4×C71C22×C411yescharacteristic
192C22×C4×C71C22×C411yescharacteristic
193C22×C4×C71C2×D412yes—
194C22×C4×C71#4112yes—
195C22×C4×C71C2411yescharacteristic
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—
207C2×C8×C71—21no—
208C4⋊C4×C71—22no—
209C4⋊C4×C71—22no—
210C22⋊C4×C71—22no—
211C22⋊C4×C71—22no—
212C42×C71—21no—
213C42×C71—21no—
214C42×C71—21no—
215C42×C71—21no—
216C23×C71—21no—
217C23×C71—21no—
218C23×C71—21no—
219C23×C71—21no—
220C23×C71—21no—
221C23×C71—21no—
222C23×C71C4×D412yes—
223C23×C71C23×C411yescharacteristic
224C22×D71—21no—
225C22×D71—21no—
226C22×D71—21no—
227C22×D71—21no—
228C22×D71—21no—
229C22×D71—21no—
230C22×D71#13112yes—
231C2×C4×C71—21no—
232C2×C4×C71—21no—
233C2×C4×C71—22no—
234C2×C4×C71—22no—
235C2×C4×C71—22no—
236C2×C4×C71—22no—
237C2×C4×C71—21no—
238C2×C4×C71—21no—
239C2×C4×C71—21no—
240C2×C4×C71—21no—
241C2×C4×C71—21no—
242C2×C4×C71—21no—
243C2×C4×C71—21no—
244C2×C4×C71—21no—
245C2×C4×C71—21no—
246C2×C4×C71—21no—
247C2×C4×C71—21no—
248C2×C4×C71—21no—
249C2×C4×C71C4×D412yes—
250C2×C4×C71C22×D411yescharacteristic
251C2×C4×C71C2×#4111yescharacteristic
252C2×C4×C71C2×#4111yescharacteristic
253C2×C4×C71C2×#4111yescharacteristic
254C2×C4×C71C2×#4111yescharacteristic
255C2×C4×C71C2×#4111yescharacteristic
256C22⋊D71—44no—
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×Dic71—21no—
277C2×Dic71#13112yes—
278C4×D71—41no—
279C4×D71—41no—
280C4×D71—41no—
281C4×D71—41no—
282C8×C71—41no—
283C8×C71—41no—
284C8×C71—41no—
285C8×C71—41no—
286C71⋊C8—22no—
287C71⋊C8—22no—
288C71⋊C8—22no—
289C71⋊C8#12314yes—
290C22×C71—22no—
291C22×C71—22no—
292C22×C71—22no—
293C22×C71—41no—
294C22×C71—41no—
295C22×C71—41no—
296C22×C71—41no—
297C22×C71C2×C4×D411yescharacteristic
298C22×C71C4×#4111yescharacteristic
299C22×C71C4×#4111yescharacteristic
300C22×C71C2×#13111yescharacteristic
301C22×C71C2×#13111yescharacteristic
302C22×C71#56811yescharacteristic
303C22×C71#56811yescharacteristic
304C2×D71—22no—
305C2×D71—22no—
306C2×D71—22no—
307C2×D71—41no—
308C2×D71—41no—
309C2×D71—41no—
310C2×D71—41no—
311C4×C71—22no—
312C4×C71—41no—
313C4×C71—41no—
314C4×C71—41no—
315C4×C71—41no—
316C4×C71C2×#12311yescharacteristic
317C4×C71#52511yescharacteristic
318C4×C71#52911yescharacteristic
319C4×C71#52911yescharacteristic
320Dic71—22no—
321Dic71—41no—
322Dic71—41no—
323Dic71—41no—
324Dic71—41no—
325Dic71—41no—
326Dic71—41no—
327#21568—711nomaximal, Sylow
328C2×C71—42no—
329C2×C71C4×#12311yescharacteristic
330C2×C71#293311yescharacteristic
331C2×C71#293511yescharacteristic
332C2×C71#296611yescharacteristic
333C2×C71#296711yescharacteristic
334C2×C71#296811yescharacteristic
335C2×C71#296811yescharacteristic
336D71—42no—
337C2×#435—711no—
338C2×#405—711no—
339#2395—711no—
340#1924—711no—
341#1923—711no—
342#1917—711no—
343#1916—711no—
344#1869—711no—
345#1850—711no—
346#1818D7111yescharacteristic, complemented
347#1771—711no—
348#1770—711no—
349#1753—711no—
350#1752—711no—
351C8×C22⋊C4—711no—
352C71#2156811yescharacteristic, complemented, Sylow
353C22×M16—711no—
354C23×C8—711no—
355C23×C8—711no—
356C2×C4×D4—711no—
357C2×#117C2×D7111yescharacteristic
358#435—1424no—
359C2×C4⋊C8—711no—
360C2×C4⋊C8—711no—
361C2×C4⋊C8—711no—
362C2×C22⋊C8—711no—
363C2×C22⋊C8—711no—
364C2×C22⋊C8—711no—
365C2×C22⋊C8C2×D7111yescharacteristic
366C2×C22⋊C8C2×D7111yescharacteristic
367#405—1424no—
368C2×#97—711no—
369C2×#97—711no—
370C2×#97—711no—
371C2×#97—711no—
372C2×C4×C8—711no—
373C2×C4×C8—711no—
374C2×C4×C8—711no—
375#400—711no—
376#399—711no—
377#398—711no—
378#397—711no—
379#397—711no—
380#397—711no—
381#394—711no—
382#394—711no—
383C4×C4⋊C4—711no—
384C4×C4⋊C4—711no—
385C4×C22⋊C4—711no—
386C4×C22⋊C4—711no—
387C4×C22⋊C4—711no—
388#336—711no—
389#336—711no—
390#336—711no—
391#336—711no—
392#336—711no—
393#336—711no—
394#336C2×D7111yescharacteristic
395#336C2×D7111yescharacteristic
396#336C2×D7111yescharacteristic
397#336C2×D7111yescharacteristic
398C22×D4—711no—
399C23×C4—711no—
400C23×C4C22×D7111yescharacteristic
401C2×M16—714no—
402C2×M16—1422no—
403C2×M16—1422no—
404C22×C8—711no—
405C22×C8—711no—
406C22×C8—711no—
407C22×C8—711no—
408C22×C8—1422no—
409C22×C8—1422no—
410C22×C8—1422no—
411C22×C8—1422no—
412C22×C8—1422no—
413C22×C8—1422no—
414C22×C8C22×D7111yescharacteristic
415C22×C8C22×D7111yescharacteristic
416C22×C8C22×D7111yescharacteristic
417C22×C8C22×D7111yescharacteristic
418C4×D4—1422no—
419C4×D4—1422no—
420#117—22no—
421#117—22no—
422C2×C4⋊C4—711no—
423C2×C4⋊C4—711no—
424C2×C4⋊C4—711no—
425C2×C4⋊C4—711no—
426C2×C4⋊C4—711no—
427C2×C4⋊C4C4×D7111yescharacteristic
428C2×C4⋊C4C4×D7111yescharacteristic
429C2×C22⋊C4—711no—
430C2×C22⋊C4—711no—
431C2×C22⋊C4—711no—
432C2×C22⋊C4—711no—
433C2×C22⋊C4—711no—
434C2×C22⋊C4—711no—
435C2×C22⋊C4—711no—
436C2×C22⋊C4—711no—
437C2×C22⋊C4C4×D7111yescharacteristic
438C2×C22⋊C4C4×D7111yescharacteristic
439C2×C42—711no—
440C2×C42—711no—
441C2×C42—711no—
442C2×C42C22×D7111yescharacteristic
443C2×C42C22×D7111yescharacteristic
444C4⋊C8—1422no—
445C4⋊C8—1422no—
446C4⋊C8—1422no—
447C22⋊C8—22no—
448C22⋊C8—22no—
449C22⋊C8—1422no—
450C22⋊C8—1422no—
451C22⋊C8—1422no—
452#97—1422no—
453#97—1422no—
454#97—1422no—
455#97—1422no—
456C4×C8—1422no—
457C4×C8—1422no—
458C4×C8—1422no—
459#95—711no—
460#95—711no—
461#95—711no—
462#95—711no—
463#95—711no—
464#95—711no—
465#95—711no—
466#95—711no—
467#95—711no—
468#95—711no—
469C24—711no—
470C24C2×C4×D7111yescharacteristic
471C2×D4—2841no—
472C2×D4—1422no—
473C2×D4—1422no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—711no—
479C22×C4—711no—
480C22×C4—711no—
481C22×C4—711no—
482C22×C4—711no—
483C22×C4—711no—
484C22×C4—711no—
485C22×C4—1421no—
486C22×C4—1421no—
487C22×C4—1421no—
488C22×C4—1421no—
489C22×C4—1421no—
490C22×C4—1421no—
491C22×C4C2×C4×D7111yescharacteristic
492C22×C4C2×C4×D7111yescharacteristic
493C22×C4C2×C4×D7111yescharacteristic
494C22×C4C2×C4×D7111yescharacteristic
495C22×C4C2×C4×D7111yescharacteristic
496C22×C4D4×D7112yes—
497C22×C4#1176586412yes—
498C22×C4C23×D7111yescharacteristic
499M16—1428no—
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—21no—
512C2×C8—2844no—
513C2×C8—712no—
514C2×C8—712no—
515C2×C8—712no—
516C2×C8—712no—
517C2×C8—712no—
518C2×C8—712no—
519C2×C8—1428no—
520C2×C8—1421no—
521C2×C8—1421no—
522C2×C8—1421no—
523C2×C8—1421no—
524C2×C8—1421no—
525C2×C8—1421no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—2841no—
529C4⋊C4—2841no—
530C4⋊C4—2841no—
531C4⋊C4—1422no—
532C4⋊C4—1422no—
533C22⋊C4—22no—
534C22⋊C4—22no—
535C22⋊C4—2841no—
536C22⋊C4—2841no—
537C22⋊C4—1422no—
538C22⋊C4—1422no—
539C22⋊C4—1422no—
540C22⋊C4—1422no—
541C22⋊C4—1422no—
542C22⋊C4—1422no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—1421no—
548C42—1421no—
549C42—1421no—
550C42—1421no—
551C42—1421no—
552C42—1421no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—712no—
560C23—1421no—
561C23—1421no—
562C23—1421no—
563C23—1421no—
564C23—1421no—
565C23—1421no—
566C23(C22⋊D71)⋊C412yes—
567C23C22×C4×D7111yescharacteristic
568D4—2844no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—2841no—
588C2×C4—2841no—
589C2×C4—2841no—
590C2×C4—2841no—
591C2×C4—712no—
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×C4—1421no—
610C2×C4—1421no—
611C2×C4—1421no—
612C2×C4(C22⋊D71)⋊C412yes—
613C2×C4C2×D4×D7111yescharacteristic
614C2×C4#41×D7111yescharacteristic
615C2×C4#41×D7111yescharacteristic
616C2×C4#41×D7111yescharacteristic
617C2×C4#41×D7111yescharacteristic
618C2×C4C2×#1176586411yescharacteristic
619C8—41no—
620C8—41no—
621C8—41no—
622C8—41no—
623C8—714no—
624C8—1422no—
625C8—1422no—
626C8—1422no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—2841no—
635C22—2841no—
636C22—2841no—
637C22—2841no—
638C22—1422no—
639C22—1422no—
640C22—1422no—
641C22C2×(C22⋊D71)⋊C411yescharacteristic
642C22#1798646711yescharacteristic
643C22#1798646711yescharacteristic
644C22#131×D7111yescharacteristic
645C22#131×D7111yescharacteristic
646C22#1798676411yescharacteristic
647C22#1798676411yescharacteristic
648C4—22no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—2841no—
654C4—2841no—
655C4—2841no—
656C4—2841no—
657C4—2841no—
658C4—2841no—
659C4—1422no—
660C4#123×D7111yescharacteristic
661C4#1798650711yescharacteristic
662C4#1798652611yescharacteristic
663C4#1798652611yescharacteristic
664C2—42no—
665C2—2842no—
666C2#2259085711yescharacteristic
667C2#2259707011yescharacteristic
668C2#2259708011yescharacteristic
669C2#2259731311yescharacteristic
670C2#2259732311yescharacteristic
671C2#2259733211yescharacteristic
672C2#2259733211yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutator, socleC23×C71C23×C4
FittingC71×#1818C2
prime radicalC22×C22⋊D71C2×C4
cosocleC22×C4×C71C24
hypercenter#1818D71
hypocenterC71#21568
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ #1818

Complements

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

NH ≅ G/Ntype
2. C2×#17985955C2semidirect
4. #22588951C2semidirect
5. #22588944C2semidirect
6. #22588902C2semidirect
7. #22588895C2semidirect
9. #22588517C2semidirect
10. #22588211C2semidirect
11. #22588206C2semidirect
12. #22588126C2semidirect
13. #22588115C2semidirect
14. #22588110C2semidirect
15. C71×#1818C2semidirect
346. #1818D71semidirect
352. C71#21568semidirect

Maximal subgroups

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

subgroupindex
C2×#179860732
C2×#179859552
#225915972
#225889512
#225889442
#225889022
#225888952
#225886302
#225885172
#225882112
#225882062
#225881262
#225881152
#225881102
C71×#18182
#2156871