Finite Group Databasebeta

← #32017102

Subgroups — #32017102

Order 18176.

808 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986058C211yesmaximal, characteristic, complemented
2C2×#17986057C211yesmaximal, characteristic, complemented
3#22590803C211yesmaximal, characteristic
4#22589136C211yesmaximal, characteristic
5#22589136C211yesmaximal, characteristic
6#22588955C211yesmaximal, characteristic, complemented
7#22588954C211yesmaximal, characteristic, complemented
8#22588945C211yesmaximal, characteristic, complemented
9#22588491C211yesmaximal, characteristic, complemented
10#22588323C211yesmaximal, characteristic, complemented
11#22588322C211yesmaximal, characteristic, complemented
12#22588214C211yesmaximal, characteristic, complemented
13#22588213C211yesmaximal, characteristic, complemented
14#22588192C211yesmaximal, characteristic, complemented
15C71×#1923C211yesmaximal, characteristic, complemented
16C2×C4×C22⋊D71C2211yescharacteristic
17C2×#14556087C2211yescharacteristic
18C2×#14556085C2211yescharacteristic
19#17986058—24no—
20#17986057—24no—
21C2×C4⋊(C71⋊C8)C2211yescharacteristic
22C2×Dic71⋊C8C2211yescharacteristic
23C2×Dic71⋊C8C2211yescharacteristic
24C2×Dic71⋊C8C2211yescharacteristic
25C2×Dic71⋊C8C2211yescharacteristic
26C2×Dic71⋊C8C2211yescharacteristic
27C2×Dic71⋊C8C2211yescharacteristic
28C2×C22⋊(C71⋊C8)C2211yescharacteristic
29C2×C22⋊(C71⋊C8)C2211yescharacteristic
30C2×(C2×D71)⋊C8C2211yescharacteristic
31C2×(C2×D71)⋊C8C2211yescharacteristic
32C2×(C2×D71)⋊C8C2211yescharacteristic
33C2×(C2×D71)⋊C8C2211yescharacteristic
34C2×#14556039C2211yescharacteristic
35C2×#14556038C2211yescharacteristic
36C2×#14556038C2211yescharacteristic
37C2×#14556038C2211yescharacteristic
38C2×C8×Dic71C2211yescharacteristic
39#17985899C411yescharacteristic
40#17985899C411yescharacteristic
41#17985896C411yescharacteristic
42#17985896C411yescharacteristic
43#17985891C411yescharacteristic
44#17985891C411yescharacteristic
45#17985887C411yescharacteristic
46#17985887C411yescharacteristic
47C4×Dic71⋊C4C2211yescharacteristic
48C4×(C2×D71)⋊C4C2211yescharacteristic
49C42×Dic71C2211yescharacteristic
50#17985754C2211yescharacteristic
51#17985754C2211yescharacteristic
52#17985753C2211yescharacteristic
53#17985753C2211yescharacteristic
54C2×C4⋊C8×C71C2211yescharacteristic
55C2×C22⋊C8×C71C2211yescharacteristic
56C2×C22⋊C8×C71C2211yescharacteristic
57C2×C4×C8×C71C2211yescharacteristic
58C4×C22⋊C4×C71C2211yescharacteristic
59#336×C71C2211yescharacteristic
60#336×C71C2211yescharacteristic
61C22×C22⋊D71C2×C411yescharacteristic
62C22×C4×D71C2311yescharacteristic
63C22×C71⋊C8C2311yescharacteristic
64C22×C71⋊C8C2311yescharacteristic
65C22×C71⋊C8C2311yescharacteristic
66C22×C71⋊C8C2311yescharacteristic
67C4×C22⋊D71—22no—
68C4×C22⋊D71—22no—
69#14556087—22no—
70#14556087—22no—
71#14556085—22no—
72#14556085—22no—
73C2×C4⋊Dic71C2×C411yescharacteristic
74C2×C4⋊Dic71C2×C411yescharacteristic
75C2×Dic71⋊C4C2×C411yescharacteristic
76C2×Dic71⋊C4C2×C411yescharacteristic
77C2×Dic71⋊C4C2×C411yescharacteristic
78C2×Dic71⋊C4C2×C411yescharacteristic
79C2×Dic71⋊C4C2×C411yescharacteristic
80C2×C22⋊Dic71C2×C411yescharacteristic
81C2×C22⋊Dic71C2×C411yescharacteristic
82C2×C22⋊Dic71C2×C411yescharacteristic
83C2×(C2×D71)⋊C4C2×C411yescharacteristic
84C2×(C2×D71)⋊C4C2×C411yescharacteristic
85C2×(C2×D71)⋊C4C2×C411yescharacteristic
86C2×(C2×D71)⋊C4C2×C411yescharacteristic
87C2×(C2×D71)⋊C4C2×C411yescharacteristic
88C2×C4×Dic71C2×C411yescharacteristic
89C2×C4×Dic71C2×C411yescharacteristic
90C2×C4×Dic71C2×C411yescharacteristic
91C2×C4×Dic71C2×C411yescharacteristic
92C2×C4×Dic71C2311yescharacteristic
93C2×C4×Dic71C2311yescharacteristic
94C2×C4×Dic71C2311yescharacteristic
95C4⋊(C71⋊C8)—41no—
96Dic71⋊C8—22no—
97Dic71⋊C8—22no—
98Dic71⋊C8—22no—
99Dic71⋊C8—22no—
100Dic71⋊C8—22no—
101Dic71⋊C8D414yescomplemented
102C22⋊(C71⋊C8)—22no—
103C22⋊(C71⋊C8)—41no—
104(C2×D71)⋊C8—22no—
105(C2×D71)⋊C8—22no—
106(C2×D71)⋊C8—41no—
107(C2×D71)⋊C8—41no—
108#14556039—22no—
109#14556038—22no—
110#14556038—22no—
111#14556038—22no—
112C8×Dic71—22no—
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—41no—
127C22⋊C8×C71—22no—
128C22⋊C8×C71—41no—
129C4×C8×C71—22no—
130#95×C71C2×C411yescharacteristic
131#95×C71C2×C411yescharacteristic
132C23×D71C22×C411yescharacteristic
133C2×C22⋊D71—22no—
134C2×C22⋊D71—41no—
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—
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—
156C2×C71⋊C8—21no—
157C2×C71⋊C8—21no—
158C2×C71⋊C8—21no—
159C2×C71⋊C8—21no—
160C2×C71⋊C8C2×D412yes—
161C4⋊Dic71—22no—
162C4⋊Dic71—22no—
163Dic71⋊C4—22no—
164Dic71⋊C4—22no—
165Dic71⋊C4—22no—
166Dic71⋊C4—41no—
167Dic71⋊C4—41no—
168C22⋊Dic71—22no—
169C22⋊Dic71—22no—
170C22⋊Dic71—22no—
171(C2×D71)⋊C4—22no—
172(C2×D71)⋊C4—22no—
173(C2×D71)⋊C4—22no—
174(C2×D71)⋊C4—22no—
175(C2×D71)⋊C4—41no—
176C4×Dic71—22no—
177C4×Dic71—21no—
178C4×Dic71—21no—
179C4×Dic71—41no—
180C4×Dic71—41no—
181C4×Dic71—41no—
182C4×Dic71C2×D412yes—
183C4×Dic71#4112yes—
184C4×Dic71#4112yes—
185C4×Dic71#4112yes—
186C24×C71C22×C411yescharacteristic
187C22×C4×C71—21no—
188C22×C4×C71—21no—
189C22×C4×C71—21no—
190C22×C4×C71—21no—
191C22×C4×C71—21no—
192C22×C4×C71—21no—
193C22×C4×C71C22×C411yescharacteristic
194C22×C4×C71C22×C411yescharacteristic
195C22×C4×C71C22×C411yescharacteristic
196C22×C4×C71C22×C411yescharacteristic
197C22×C4×C71C22×C411yescharacteristic
198C22×C4×C71C2411yescharacteristic
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—
208C2×C8×C71—21no—
209C2×C8×C71—21no—
210C2×C8×C71C2×D412yes—
211C22⋊C4×C71—22no—
212C22⋊C4×C71—41no—
213C42×C71—21no—
214C42×C71—21no—
215C42×C71—21no—
216C42×C71—21no—
217C23×C71—21no—
218C23×C71—21no—
219C23×C71—21no—
220C23×C71—21no—
221C23×C71—21no—
222C23×C71—21no—
223C23×C71—21no—
224C23×C71C23×C411yescharacteristic
225C22×D71—21no—
226C22×D71—21no—
227C22×D71—21no—
228C22×D71—21no—
229C22×D71—21no—
230C22×D71—21no—
231C22×D71—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—21no—
245C2×C4×C71—21no—
246C2×C4×C71—41no—
247C2×C4×C71—41no—
248C2×C4×C71—41no—
249C2×C4×C71—41no—
250C2×C4×C71#13112yes—
251C2×C4×C71C22×D411yescharacteristic
252C2×C4×C71C2×#4111yescharacteristic
253C2×C4×C71C2×#4111yescharacteristic
254C2×C4×C71C2×#4111yescharacteristic
255C2×C4×C71H(5,𝔽2)11yescharacteristic
256C2×C4×C712−1+411yescharacteristic
257C22⋊D71—44no—
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#11712yes—
276C2×Dic71#11712yes—
277C2×Dic71C4×D412yes—
278C2×Dic71C4×D412yes—
279C4×D71—41no—
280C4×D71—41no—
281C4×D71—41no—
282C4×D71—41no—
283C8×C71—22no—
284C8×C71—41no—
285C8×C71—41no—
286C8×C71—41no—
287C71⋊C8—22no—
288C71⋊C8—41no—
289C71⋊C8—41no—
290C71⋊C8—41no—
291C22×C71—41no—
292C22×C71—41no—
293C22×C71—41no—
294C22×C71—41no—
295C22×C71—41no—
296C22×C71—41no—
297C22×C71—41no—
298C22×C71C2×#11711yescharacteristic
299C22×C71C2×C4×D411yescharacteristic
300C22×C71#52011yescharacteristic
301C22×C71C2×#13111yescharacteristic
302C22×C71#56811yescharacteristic
303C22×C71#56811yescharacteristic
304C22×C71#56811yescharacteristic
305C2×D71—41no—
306C2×D71—41no—
307C2×D71—41no—
308C2×D71—41no—
309C2×D71—41no—
310C2×D71—41no—
311C2×D71—41no—
312C4×C71—22no—
313C4×C71—41no—
314C4×C71—41no—
315C4×C71—41no—
316C4×C71—41no—
317C4×C71#54711yescharacteristic
318C4×C71#55011yescharacteristic
319C4×C71#55511yescharacteristic
320C4×C71#55611yescharacteristic
321Dic71—22no—
322Dic71—22no—
323Dic71—22no—
324Dic71—22no—
325Dic71—41no—
326Dic71—41no—
327Dic71—41no—
328#22798—711nomaximal, Sylow
329C2×C71—81no—
330C2×C71#235411yescharacteristic
331C2×C71#292111yescharacteristic
332C2×C71#292511yescharacteristic
333C2×C71#293211yescharacteristic
334C2×C71#293511yescharacteristic
335C2×C71#299211yescharacteristic
336C2×C71#299511yescharacteristic
337D71—81no—
338C2×#433—711no—
339C2×#433—711no—
340#2293—711no—
341#1955—711no—
342#1955—711no—
343#1924—711no—
344#1924—711no—
345#1923—711no—
346#1923D7111yescharacteristic, complemented
347#1842—711no—
348#1798—711no—
349#1798—711no—
350#1771—711no—
351#1771—711no—
352#1767—711no—
353C71#2279811yescharacteristic, complemented, Sylow
354C2×C4×D4—711no—
355C2×#117—711no—
356C2×#117—711no—
357#433—1424no—
358#433—1424no—
359C2×C4⋊C8—711no—
360C2×C4⋊C8—711no—
361C2×C4⋊C8—711no—
362C2×C4⋊C8—711no—
363C2×C4⋊C8—711no—
364C2×C4⋊C8—711no—
365C2×C4⋊C8—711no—
366C2×C4⋊C8C2×D7111yescharacteristic
367C2×C22⋊C8—711no—
368C2×C22⋊C8—711no—
369C2×C22⋊C8—711no—
370C2×C22⋊C8—711no—
371C2×C22⋊C8—711no—
372C2×C22⋊C8—711no—
373C2×C22⋊C8C2×D7111yescharacteristic
374C2×C22⋊C8C2×D7111yescharacteristic
375C2×#97—711no—
376C2×#97—711no—
377C2×#97—711no—
378C2×#97—711no—
379C2×C4×C8—711no—
380C2×C4×C8C2×D7111yescharacteristic
381#390—711no—
382#390—711no—
383#389—711no—
384#389—711no—
385#388—711no—
386#388—711no—
387#388—711no—
388#388—711no—
389C4×C4⋊C4—711no—
390C4×C22⋊C4—711no—
391C4×C22⋊C4C2×D7111yescharacteristic
392C43—711no—
393#336—711no—
394#336—711no—
395#336—711no—
396#336—711no—
397#336C2×D7111yescharacteristic
398#336C2×D7111yescharacteristic
399C22×D4—711no—
400C23×C4—711no—
401C23×C4C22×D7111yescharacteristic
402C22×C8—711no—
403C22×C8—711no—
404C22×C8—711no—
405C22×C8—711no—
406C22×C8C22×D7111yescharacteristic
407C22×C8C22×D7111yescharacteristic
408C22×C8C22×D7111yescharacteristic
409C22×C8C22×D7111yescharacteristic
410C4×D4—1422no—
411C4×D4—1422no—
412#117—1422no—
413#117—1422no—
414#117—1422no—
415#117—1422no—
416C2×C4⋊C4—711no—
417C2×C4⋊C4—711no—
418C2×C4⋊C4—711no—
419C2×C4⋊C4—711no—
420C2×C4⋊C4—711no—
421C2×C4⋊C4—711no—
422C2×C4⋊C4—711no—
423C2×C22⋊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⋊C4C4×D7111yescharacteristic
432C2×C22⋊C4C4×D7111yescharacteristic
433C2×C42—711no—
434C2×C42—711no—
435C2×C42—711no—
436C2×C42—711no—
437C2×C42—711no—
438C2×C42—711no—
439C2×C42—711no—
440C2×C42C22×D7111yescharacteristic
441C2×C42C22×D7111yescharacteristic
442C4⋊C8—41no—
443C4⋊C8—2841no—
444C4⋊C8—714no—
445C4⋊C8—1422no—
446C4⋊C8—1422no—
447C4⋊C8—1422no—
448C4⋊C8—1422no—
449C4⋊C8—1422no—
450C22⋊C8—22no—
451C22⋊C8—41no—
452C22⋊C8—2841no—
453C22⋊C8—2841no—
454C22⋊C8—2841no—
455C22⋊C8—1422no—
456C22⋊C8—1422no—
457C22⋊C8—1422no—
458#97—1422no—
459#97—1422no—
460#97—1422no—
461#97—1422no—
462C4×C8—22no—
463C4×C8—1422no—
464#95—711no—
465#95—711no—
466#95—711no—
467#95—711no—
468#95C4×D7111yescharacteristic
469#95C4×D7111yescharacteristic
470C24—711no—
471C24C2×C4×D7111yescharacteristic
472C2×D4—2841no—
473C2×D4—2841no—
474C2×D4—1422no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—711no—
482C22×C4—711no—
483C22×C4—711no—
484C22×C4—711no—
485C22×C4—711no—
486C22×C4—711no—
487C22×C4—711no—
488C22×C4—1421no—
489C22×C4—1421no—
490C22×C4—1421no—
491C22×C4—1421no—
492C22×C4—1421no—
493C22×C4—1421no—
494C22×C4C2×C4×D7111yescharacteristic
495C22×C4C2×C4×D7111yescharacteristic
496C22×C4C2×C4×D7111yescharacteristic
497C22×C4C2×C4×D7111yescharacteristic
498C22×C4C2×C4×D7111yescharacteristic
499C22×C4C23×D7111yescharacteristic
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—712no—
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×C8D4×D7112yes—
524C4⋊C4—2841no—
525C4⋊C4—2841no—
526C4⋊C4—1422no—
527C4⋊C4—1422no—
528C4⋊C4—1422no—
529C4⋊C4—1422no—
530C4⋊C4—1422no—
531C22⋊C4—22no—
532C22⋊C4—41no—
533C22⋊C4—2841no—
534C22⋊C4—1422no—
535C22⋊C4—1422no—
536C22⋊C4—1422no—
537C22⋊C4—1422no—
538C22⋊C4—1422no—
539C22⋊C4—1422no—
540C22⋊C4—1422no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—2841no—
546C42—2841no—
547C42—2841no—
548C42—712no—
549C42—712no—
550C42—712no—
551C42—712no—
552C42—1421no—
553C42—1421no—
554C42—1422no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—1421no—
563C23—1421no—
564C23—1421no—
565C23—1421no—
566C23—1421no—
567C23—1421no—
568C23—1421no—
569C23C22×C4×D7111yescharacteristic
570D4—2844no—
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—21no—
584C2×C4—21no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—2841no—
590C2×C4—2841no—
591C2×C4—2841no—
592C2×C4—2841no—
593C2×C4—712no—
594C2×C4—712no—
595C2×C4—712no—
596C2×C4—712no—
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—1421no—
613C2×C4—1421no—
614C2×C4#1455613412yes—
615C2×C4C2×D4×D7111yescharacteristic
616C2×C4#41×D7111yescharacteristic
617C2×C4#41×D7111yescharacteristic
618C2×C4#41×D7111yescharacteristic
619C2×C4#1455617311yescharacteristic
620C2×C4#1455617511yescharacteristic
621C8—22no—
622C8—41no—
623C8—41no—
624C8—41no—
625C8—2841no—
626C8—2841no—
627C8—2841no—
628C8—1422no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—2841no—
637C22—2841no—
638C22—2841no—
639C22—2841no—
640C22—2841no—
641C22—2841no—
642C22—2841no—
643C22#117×D7111yescharacteristic
644C22C4×D4×D7111yescharacteristic
645C22#1798647811yescharacteristic
646C22C2×#1455613411yescharacteristic
647C22#1798676411yescharacteristic
648C22#1798676411yescharacteristic
649C22#1798676511yescharacteristic
650C4—22no—
651C4—41no—
652C4—41no—
653C4—41no—
654C4—41no—
655C4—2841no—
656C4—2841no—
657C4—2841no—
658C4—1422no—
659C4—1422no—
660C4—1422no—
661C4—1422no—
662C4#1798664711yescharacteristic
663C4#1798666711yescharacteristic
664C4#1798671111yescharacteristic
665C4#1798671611yescharacteristic
666C2—81no—
667C2—5681no—
668C2#2259128611yescharacteristic
669C2#2259697411yescharacteristic
670C2#2259700111yescharacteristic
671C2#2259705411yescharacteristic
672C2#2259707911yescharacteristic
673C2#2259747311yescharacteristic
674C2#2259750411yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutator, socleC23×C71C23×C4
FittingC71×#1923C2
prime radicalC22×C22⋊D71C2×C4
cosocleC22×C4×C71C24
hypercenter#1923D71
hypocenterC71#22798
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ #1923

Complements

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

NH ≅ G/Ntype
1. C2×#17986058C2semidirect
2. C2×#17986057C2semidirect
6. #22588955C2semidirect
7. #22588954C2semidirect
8. #22588945C2semidirect
9. #22588491C2semidirect
10. #22588323C2semidirect
11. #22588322C2semidirect
12. #22588214C2semidirect
13. #22588213C2semidirect
14. #22588192C2semidirect
15. C71×#1923C2semidirect
101. Dic71⋊C8D4semidirect
346. #1923D71semidirect
353. C71#22798semidirect

Maximal subgroups

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

subgroupindex
C2×#179860582
C2×#179860572
#225908032
#225891362
#225889552
#225889542
#225889452
#225884912
#225883232
#225883222
#225882142
#225882132
#225881922
C71×#19232
#2279871