Finite Group Databasebeta

← #32005365

Subgroups — #32005365

Order 18176.

890 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×#17986123C211yesmaximal, characteristic, complemented
2C2×(C22⋊D71)⋊C8C211yesmaximal, characteristic
3#22591627C211yesmaximal, characteristic
4#22589278C211yesmaximal, characteristic, complemented
5#22589136C211yesmaximal, characteristic
6#22588956C211yesmaximal, characteristic, complemented
7#22588953C211yesmaximal, characteristic, complemented
8#22588952C211yesmaximal, characteristic, complemented
9#22588458C211yesmaximal, characteristic, complemented
10#22588114C211yesmaximal, characteristic, complemented
11C22⋊C4×C71⋊C8C211yesmaximal, characteristic, complemented
12#22588110C211yesmaximal, characteristic, complemented
13#22588110C211yesmaximal, characteristic, complemented
14#22588028C211yesmaximal, characteristic, complemented
15C71×#1924C211yesmaximal, characteristic, complemented
16C23×C71⋊C8C2211yescharacteristic
17C22×C8×D71C2211yescharacteristic
18C2×C4×Dic142C2211yescharacteristic
19C2×C4×C22⋊D71C2211yescharacteristic
20#17986123—24no—
21(C22⋊D71)⋊C8—24no—
22C2×Dic71⋊C8C2211yescharacteristic
23C2×Dic71⋊C8C2211yescharacteristic
24C2×Dic71⋊C8C2211yescharacteristic
25C2×C22⋊(C71⋊C8)C2211yescharacteristic
26C2×(C2×D71)⋊C8C2211yescharacteristic
27C2×(C2×D71)⋊C8C2211yescharacteristic
28C2×(C2×D71)⋊C8C2211yescharacteristic
29C2×#14556038C2211yescharacteristic
30C2×#14556038C2211yescharacteristic
31C2×C4×C71⋊C8C2211yescharacteristic
32C2×C4×C71⋊C8C2211yescharacteristic
33C2×C8×Dic71C2211yescharacteristic
34C2×C8×Dic71C2211yescharacteristic
35C2×C8×Dic71C2211yescharacteristic
36#17985941C411yescharacteristic
37#17985940C411yescharacteristic
38#17985928C411yescharacteristic
39#17985927C411yescharacteristic
40#17985915C411yescharacteristic
41#17985914C411yescharacteristic
42#17985912C411yescharacteristic
43#17985911C411yescharacteristic
44C4×(C2×D71)⋊C4C2211yescharacteristic
45C4×(C2×D71)⋊C4C2211yescharacteristic
46C4×C22⋊Dic71C2211yescharacteristic
47#17985845C2211yescharacteristic
48#17985754C2211yescharacteristic
49#17985754C2211yescharacteristic
50#17985753C2211yescharacteristic
51#17985753C2211yescharacteristic
52#17985753C2211yescharacteristic
53#17985753C2211yescharacteristic
54C2×C4⋊C8×C71C2211yescharacteristic
55C2×C22⋊C8×C71C2211yescharacteristic
56C2×C22⋊C8×C71C2211yescharacteristic
57C2×#97×C71C2211yescharacteristic
58C4×C22⋊C4×C71C2211yescharacteristic
59#336×C71C2211yescharacteristic
60#336×C71C2211yescharacteristic
61C22×Dic142C2×C411yescharacteristic
62C22×C22⋊D71C2×C411yescharacteristic
63C22×C4×D71C2311yescharacteristic
64C22×C71⋊C8—22no—
65C22×C71⋊C8—22no—
66C22×C71⋊C8—22no—
67C22×C71⋊C8C2311yescharacteristic
68C22×C71⋊C8C2311yescharacteristic
69C22×C71⋊C8C2311yescharacteristic
70C22×C71⋊C8C2311yescharacteristic
71C2×C8×D71—22no—
72C2×C8×D71—22no—
73C2×C8×D71—22no—
74C4×Dic142—22no—
75C4×Dic142—22no—
76C4×C22⋊D71—22no—
77C4×C22⋊D71—22no—
78C2×C4⋊Dic71C2×C411yescharacteristic
79C2×Dic71⋊C4C2×C411yescharacteristic
80C2×Dic71⋊C4C2×C411yescharacteristic
81C2×Dic71⋊C4C2×C411yescharacteristic
82C2×C22⋊Dic71C2×C411yescharacteristic
83C2×C22⋊Dic71C2×C411yescharacteristic
84C2×C22⋊Dic71C2×C411yescharacteristic
85C2×(C2×D71)⋊C4C2×C411yescharacteristic
86C2×(C2×D71)⋊C4C2×C411yescharacteristic
87C2×(C2×D71)⋊C4C2×C411yescharacteristic
88C2×(C2×D71)⋊C4C2×C411yescharacteristic
89C2×(C2×D71)⋊C4C2×C411yescharacteristic
90C2×C4×Dic71C2311yescharacteristic
91C2×C4×Dic71C2311yescharacteristic
92C2×C4×Dic71C2311yescharacteristic
93Dic71⋊C8—22no—
94Dic71⋊C8—22no—
95Dic71⋊C8—22no—
96C22⋊(C71⋊C8)—22no—
97(C2×D71)⋊C8—22no—
98(C2×D71)⋊C8—22no—
99(C2×D71)⋊C8—22no—
100#14556038—22no—
101#14556038—22no—
102C4×C71⋊C8—22no—
103C4×C71⋊C8—22no—
104C8×Dic71—22no—
105C8×Dic71—22no—
106C8×Dic71D414yes—
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
122C2×C22⋊C4×C71C2×C411yescharacteristic
123C2×C22⋊C4×C71C2×C411yescharacteristic
124C2×C42×C71C2311yescharacteristic
125C2×C42×C71C2311yescharacteristic
126C4⋊C8×C71—22no—
127C22⋊C8×C71—22no—
128C22⋊C8×C71—22no—
129#97×C71—22no—
130#95×C71C2×C411yescharacteristic
131#95×C71C2×C411yescharacteristic
132C23×D71C22×C411yescharacteristic
133C2×Dic142—22no—
134C2×Dic142—22no—
135C2×Dic142—22no—
136C2×C22⋊D71—22no—
137C2×C22⋊D71—22no—
138C2×C22⋊D71—22no—
139C22×Dic71C22×C411yescharacteristic
140C22×Dic71C22×C411yescharacteristic
141C22×Dic71C22×C411yescharacteristic
142C22×Dic71C22×C411yescharacteristic
143C22×Dic71C22×C411yescharacteristic
144C22×Dic71C22×C411yescharacteristic
145C22×Dic71C22×C411yescharacteristic
146C2×C4×D71—21no—
147C2×C4×D71—21no—
148C2×C4×D71—21no—
149C2×C4×D71—21no—
150C2×C4×D71—21no—
151C2×C4×D71—21no—
152C2×C71⋊C8—21no—
153C2×C71⋊C8—21no—
154C2×C71⋊C8—21no—
155C2×C71⋊C8—21no—
156C2×C71⋊C8—21no—
157C2×C71⋊C8—21no—
158C2×C71⋊C8—21no—
159C2×C71⋊C8—21no—
160C2×C71⋊C8—44no—
161C2×C71⋊C8C2×D412yes—
162C2×C71⋊C8#4112yes—
163C2×C71⋊C8#4112yes—
164C2×C71⋊C8#4112yes—
165C8×D71—44no—
166C4⋊Dic71—22no—
167Dic71⋊C4—22no—
168Dic71⋊C4—22no—
169Dic71⋊C4—22no—
170C22⋊Dic71—22no—
171C22⋊Dic71—22no—
172C22⋊Dic71—22no—
173(C2×D71)⋊C4—22no—
174(C2×D71)⋊C4—22no—
175(C2×D71)⋊C4—22no—
176(C2×D71)⋊C4—22no—
177(C2×D71)⋊C4—22no—
178C4×Dic71—21no—
179C4×Dic71—21no—
180C4×Dic71—21no—
181C4×Dic71—21no—
182C4×Dic71C2×D412yes—
183C4×Dic71#4112yes—
184C24×C71C22×C411yescharacteristic
185C22×C4×C71—21no—
186C22×C4×C71—21no—
187C22×C4×C71—21no—
188C22×C4×C71—21no—
189C22×C4×C71—21no—
190C22×C4×C71—21no—
191C22×C4×C71C22×C411yescharacteristic
192C22×C4×C71C22×C411yescharacteristic
193C22×C4×C71C22×C411yescharacteristic
194C22×C4×C71C22×C411yescharacteristic
195C22×C4×C71C22×C411yescharacteristic
196C22×C4×C71C2411yescharacteristic
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×C71C2×D412yes—
208C2×C8×C71#4112yes—
209C22⋊C4×C71—22no—
210C22⋊C4×C71—22no—
211C42×C71—21no—
212C42×C71—21no—
213C42×C71—21no—
214C42×C71—21no—
215C23×C71—21no—
216C23×C71—21no—
217C23×C71—21no—
218C23×C71—21no—
219C23×C71—21no—
220C23×C71—21no—
221C23×C71#13112yes—
222C23×C71C23×C411yescharacteristic
223C22×D71—21no—
224C22×D71—21no—
225C22×D71—21no—
226C22×D71—21no—
227C22×D71—21no—
228C22×D71—21no—
229C22×D71#13112yes—
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—21no—
242C2×C4×C71—21no—
243C2×C4×C71—21no—
244C2×C4×C71—41no—
245C2×C4×C71—41no—
246C2×C4×C71—41no—
247C2×C4×C71—41no—
248C2×C4×C71#13112yes—
249C2×C4×C71C22×D411yescharacteristic
250C2×C4×C71C2×#4111yescharacteristic
251C2×C4×C71C2×#4111yescharacteristic
252C2×C4×C71C2×#4111yescharacteristic
253C2×C4×C71C2×#4111yescharacteristic
254C2×C4×C71C2×#4111yescharacteristic
255C22⋊D71—28no—
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×Dic71C4×D412yes—
275C2×Dic71C4×D412yes—
276C2×Dic71#13112yes—
277C4×D71—41no—
278C4×D71—41no—
279C4×D71—41no—
280C4×D71—41no—
281Dic142—28no—
282C8×C71—22no—
283C8×C71—22no—
284C8×C71—41no—
285C8×C71—41no—
286C71⋊C8—22no—
287C71⋊C8—41no—
288C71⋊C8—41no—
289C71⋊C8#12414yes—
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×C71C2×#13111yescharacteristic
303C22×C71C2×#13111yescharacteristic
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×#12411yescharacteristic
317C4×C71#52911yescharacteristic
318C4×C71#52911yescharacteristic
319C4×C71#53211yescharacteristic
320Dic71—22no—
321Dic71—22no—
322Dic71—22no—
323Dic71—41no—
324Dic71—41no—
325Dic71—41no—
326Dic71—41no—
327#21635—711nomaximal, Sylow
328C2×C71—42no—
329C2×C71C4×#12411yescharacteristic
330C2×C71#292911yescharacteristic
331C2×C71#292911yescharacteristic
332C2×C71#296611yescharacteristic
333C2×C71#296611yescharacteristic
334C2×C71#296611yescharacteristic
335C2×C71#296611yescharacteristic
336D71—42no—
337C2×C8×Q8—711no—
338C2×C8×D4—711no—
339#2398—711no—
340#1985—711no—
341#1955—711no—
342#1924—711no—
343#1924—711no—
344#1924—711no—
345#1924D7111yescharacteristic, complemented
346#1832—711no—
347C8×C22⋊C4—711no—
348C8×C22⋊C4—711no—
349C8×C22⋊C4—711no—
350C8×C22⋊C4—711no—
351#1726—711no—
352C71#2163511yescharacteristic, complemented, Sylow
353C23×C8—711no—
354C23×C8—711no—
355C2×C4×Q8—711no—
356C2×C4×D4—711no—
357C8×Q8—1424no—
358C8×D4—1424no—
359C2×C4⋊C8—711no—
360C2×C4⋊C8—711no—
361C2×C4⋊C8—711no—
362C2×C4⋊C8C2×D7111yescharacteristic
363C2×C22⋊C8—711no—
364C2×C22⋊C8—711no—
365C2×C22⋊C8—711no—
366C2×C22⋊C8—711no—
367C2×C22⋊C8C2×D7111yescharacteristic
368C2×C22⋊C8C2×D7111yescharacteristic
369C2×#97—711no—
370C2×#97—711no—
371C2×#97C2×D7111yescharacteristic
372C2×C4×C8—711no—
373C2×C4×C8—711no—
374C2×C4×C8—711no—
375C2×C4×C8—711no—
376C2×C4×C8—711no—
377#400—711no—
378#400—711no—
379#397—711no—
380#397—711no—
381#394—711no—
382#394—711no—
383#393—711no—
384#393—711no—
385C4×C22⋊C4—711no—
386C4×C22⋊C4—711no—
387C4×C22⋊C4—711no—
388C4×C22⋊C4C2×D7111yescharacteristic
389#376—711no—
390#336—711no—
391#336—711no—
392#336—711no—
393#336—711no—
394#336—711no—
395#336—711no—
396#336C2×D7111yescharacteristic
397#336C2×D7111yescharacteristic
398C22×Q8—711no—
399C22×D4—711no—
400C23×C4—711no—
401C23×C4C22×D7111yescharacteristic
402C22×C8—711no—
403C22×C8—711no—
404C22×C8—711no—
405C22×C8—711no—
406C22×C8—1422no—
407C22×C8—1422no—
408C22×C8—1422no—
409C22×C8—1422no—
410C22×C8—1422no—
411C22×C8—1422no—
412C22×C8C22×D7111yescharacteristic
413C22×C8C22×D7111yescharacteristic
414C22×C8C22×D7111yescharacteristic
415C22×C8C22×D7111yescharacteristic
416C4×Q8—1422no—
417C4×Q8—1422no—
418C4×D4—1422no—
419C4×D4—1422no—
420C2×C4⋊C4—711no—
421C2×C4⋊C4—711no—
422C2×C4⋊C4—711no—
423C2×C4⋊C4—711no—
424C2×C22⋊C4—711no—
425C2×C22⋊C4—711no—
426C2×C22⋊C4—711no—
427C2×C22⋊C4—711no—
428C2×C22⋊C4—711no—
429C2×C22⋊C4—711no—
430C2×C22⋊C4—711no—
431C2×C22⋊C4—711no—
432C2×C22⋊C4C4×D7111yescharacteristic
433C2×C22⋊C4C4×D7111yescharacteristic
434C2×C42—711no—
435C2×C42—711no—
436C2×C42—711no—
437C2×C42C22×D7111yescharacteristic
438C2×C42C22×D7111yescharacteristic
439C4⋊C8—22no—
440C4⋊C8—1422no—
441C4⋊C8—1422no—
442C4⋊C8—1422no—
443C22⋊C8—22no—
444C22⋊C8—22no—
445C22⋊C8—1422no—
446C22⋊C8—1422no—
447C22⋊C8—1422no—
448C22⋊C8—1422no—
449#97—22no—
450#97—1422no—
451#97—1422no—
452C4×C8—714no—
453C4×C8—1422no—
454C4×C8—1422no—
455C4×C8—1422no—
456C4×C8—1422no—
457#95—711no—
458#95—711no—
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#95C4×D7111yescharacteristic
468#95C4×D7111yescharacteristic
469C24—711no—
470C24C2×C4×D7111yescharacteristic
471C2×Q8—1422no—
472C2×Q8—1422no—
473C2×Q8—1422no—
474C2×D4—1422no—
475C2×D4—1422no—
476C2×D4—1422no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—711no—
484C22×C4—711no—
485C22×C4—711no—
486C22×C4—711no—
487C22×C4—711no—
488C22×C4—711no—
489C22×C4—711no—
490C22×C4—1421no—
491C22×C4—1421no—
492C22×C4—1421no—
493C22×C4—1421no—
494C22×C4—1421no—
495C22×C4—1421no—
496C22×C4C2×C4×D7111yescharacteristic
497C22×C4C2×C4×D7111yescharacteristic
498C22×C4C2×C4×D7111yescharacteristic
499C22×C4C2×C4×D7111yescharacteristic
500C22×C4C2×C4×D7111yescharacteristic
501C22×C4C23×D7111yescharacteristic
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—2844no—
514C2×C8—712no—
515C2×C8—712no—
516C2×C8—712no—
517C2×C8—712no—
518C2×C8—1421no—
519C2×C8—1421no—
520C2×C8—1421no—
521C2×C8—1421no—
522C2×C8—1421no—
523C2×C8—1421no—
524C2×C8—1421no—
525C2×C8—1421no—
526C2×C8D4×D7112yes—
527C2×C8#1176586412yes—
528C4⋊C4—1422no—
529C4⋊C4—1422no—
530C4⋊C4—1422no—
531C4⋊C4—1422no—
532C22⋊C4—22no—
533C22⋊C4—22no—
534C22⋊C4—1422no—
535C22⋊C4—1422no—
536C22⋊C4—1422no—
537C22⋊C4—1422no—
538C22⋊C4—1422no—
539C22⋊C4—1422no—
540C22⋊C4—1422no—
541C22⋊C4—1422no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—712no—
547C42—712no—
548C42—1421no—
549C42—1421no—
550C42—1421no—
551C42—1421no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—712no—
559C23—1421no—
560C23—1421no—
561C23—1421no—
562C23—1421no—
563C23—1421no—
564C23—1421no—
565C23#1455613612yes—
566C23C22×C4×D7111yescharacteristic
567Q8—1428no—
568D4—1428no—
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—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—2841no—
588C2×C4—2841no—
589C2×C4—2841no—
590C2×C4—2841no—
591C2×C4—712no—
592C2×C4—712no—
593C2×C4—712no—
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#1455613612yes—
613C2×C4C2×D4×D7111yescharacteristic
614C2×C4#41×D7111yescharacteristic
615C2×C4#41×D7111yescharacteristic
616C2×C4#41×D7111yescharacteristic
617C2×C4#41×D7111yescharacteristic
618C2×C4C2×#1176586411yescharacteristic
619C8—22no—
620C8—22no—
621C8—41no—
622C8—41no—
623C8—2841no—
624C8—2841no—
625C8—714no—
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—
641C22C4×D4×D7111yescharacteristic
642C22C4×#1176586411yescharacteristic
643C22#1798646711yescharacteristic
644C22#131×D7111yescharacteristic
645C22#131×D7111yescharacteristic
646C22C2×#1455613611yescharacteristic
647C22C2×#1455613611yescharacteristic
648C4—22no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—2841no—
654C4—2841no—
655C4—2841no—
656C4—2841no—
657C4—1422no—
658C4—1422no—
659C4—1422no—
660C4#124×D7111yescharacteristic
661C4#1798652611yescharacteristic
662C4#1798653211yescharacteristic
663C4#1798654411yescharacteristic
664C2—42no—
665C2—2842no—
666C2#2259088111yescharacteristic
667C2#2259703111yescharacteristic
668C2#2259703111yescharacteristic
669C2#2259730911yescharacteristic
670C2#2259731011yescharacteristic
671C2#2259731311yescharacteristic
672C2#2259731811yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutator, socleC23×C71C23×C4
FittingC71×#1924C2
prime radicalC22×C22⋊D71C2×C4
cosocleC22×C4×C71C24
hypercenter#1924D71
hypocenterC71#21635
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ #1924

Complements

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

NH ≅ G/Ntype
1. C2×#17986123C2semidirect
4. #22589278C2semidirect
6. #22588956C2semidirect
7. #22588953C2semidirect
8. #22588952C2semidirect
9. #22588458C2semidirect
10. #22588114C2semidirect
11. C22⋊C4×C71⋊C8C2semidirect
12. #22588110C2semidirect
13. #22588110C2semidirect
14. #22588028C2semidirect
15. C71×#1924C2semidirect
345. #1924D71semidirect
352. C71#21635semidirect

Maximal subgroups

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

subgroupindex
C2×#179861232
C2×(C22⋊D71)⋊C82
#225916272
#225892782
#225891362
#225889562
#225889532
#225889522
#225884582
#225881142
C22⋊C4×C71⋊C82
#225881102
#225880282
C71×#19242
#2163571