Finite Group Databasebeta

← #31997350

Subgroups — #31997350

Order 18176.

1426 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D71C211yesmaximal, characteristic
2C2×#17986055C211yesmaximal, characteristic, complemented
3C2×#17986051C211yesmaximal, characteristic, complemented
4#22588407C212yesmaximal, complemented
5#22588324C211yesmaximal, characteristic, complemented
6#22588321C211yesmaximal, characteristic, complemented
7#22588321C211yesmaximal, characteristic, complemented
8#22588249C212yesmaximal
9#22588108C212yesmaximal, complemented
10#22588105C212yesmaximal, complemented
11C71×#1798C211yesmaximal, characteristic, complemented
12C23×C4×D71C2211yescharacteristic
13C2×#14556087C2211yescharacteristic
14C2×#14556086C411yescharacteristic
15C2×#14556086C411yescharacteristic
16C2×#14556085C2211yescharacteristic
17C2×#14556085C2211yescharacteristic
18C2×#14556084C411yescharacteristic
19C2×#14556084C411yescharacteristic
20#117×D71—24no—
21#117×D71—24no—
22C2×C4⋊C4×D71C411yescharacteristic
23C2×C4⋊C4×D71C411yescharacteristic
24C2×C22⋊C4×D71C411yescharacteristic
25C2×C22⋊C4×D71C411yescharacteristic
26C2×C42×D71C2211yescharacteristic
27C2×C42×D71C2211yescharacteristic
28#17986055—24no—
29#17986051—24no—
30C2×C4⋊(C71⋊C8)C2211yescharacteristic, complemented
31C2×C4⋊(C71⋊C8)C2211yescharacteristic, complemented
32C2×C22⋊(C71⋊C8)C2212yes—
33C2×(C2×D71)⋊C8C2212yes—
34C2×(C2×D71)⋊C8C2212yes—
35C2×(C2×D71)⋊C8C2212yes—
36C2×(C2×D71)⋊C8C2212yes—
37C2×#14556038C2212yescomplemented
38C2×C8×Dic71C2212yescomplemented
39#17985754C2212yescomplemented
40#17985753C2212yescomplemented
41#17985753C2212yescomplemented
42C2×#117×C71C2211yescharacteristic
43C2×C4⋊C8×C71C2211yescharacteristic, complemented
44C2×C4⋊C8×C71C2211yescharacteristic, complemented
45C2×C22⋊C8×C71C2212yes—
46#336×C71C2212yescomplemented
47C24×D71C2×C411yescharacteristic
48C23×Dic71C2×C411yescharacteristic
49C22×C4×D71—22no—
50C22×C4×D71—22no—
51C22×C4×D71—22no—
52C22×C4×D71—22no—
53C22×C4×D71—22no—
54C22×C4×D71—22no—
55C22×C4×D71C2×C411yescharacteristic
56C22×C4×D71C2×C411yescharacteristic
57C22×C4×D71C2×C411yescharacteristic
58C22×C4×D71C2×C411yescharacteristic
59C22×C4×D71C2×C411yescharacteristic
60C22×C4×D71C2×C411yescharacteristic
61C22×C4×D71C2311yescharacteristic
62C22×C4×D71C2311yescharacteristic
63C22×C71⋊C8C2312yes—
64C22×C71⋊C8C2312yes—
65#14556087—22no—
66#14556087—22no—
67#14556086—24no—
68#14556086—24no—
69#14556085—22no—
70#14556085—22no—
71#14556085—22no—
72#14556085—22no—
73#14556084—24no—
74#14556084—24no—
75C2×C4⋊Dic71C2×C411yescharacteristic
76C2×C4⋊Dic71C2×C411yescharacteristic
77C2×Dic71⋊C4C2×C411yescharacteristic
78C2×Dic71⋊C4C2×C411yescharacteristic
79C2×Dic71⋊C4C2×C411yescharacteristic
80C2×Dic71⋊C4C2×C411yescharacteristic
81C4⋊C4×D71—24no—
82C4⋊C4×D71—24no—
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
89C22⋊C4×D71—24no—
90C22⋊C4×D71—24no—
91C2×C4×Dic71C2×C411yescharacteristic
92C2×C4×Dic71C2×C411yescharacteristic
93C2×C4×Dic71C2×C411yescharacteristic
94C2×C4×Dic71C2×C411yescharacteristic
95C2×C4×Dic71C2311yescharacteristic
96C2×C4×Dic71C2311yescharacteristic
97C42×D71—22no—
98C42×D71—22no—
99C42×D71D414yes—
100C42×D71D414yes—
101C4⋊(C71⋊C8)—22no—
102C4⋊(C71⋊C8)—22no—
103C22⋊(C71⋊C8)—24no—
104(C2×D71)⋊C8—24no—
105(C2×D71)⋊C8—24no—
106(C2×D71)⋊C8—24no—
107(C2×D71)⋊C8—24no—
108#14556038—24no—
109C8×Dic71—24no—
110C23×C4×C71C2311yescharacteristic
111C22×C8×C71C2312yes—
112C22×C8×C71C2312yes—
113#117×C71—22no—
114#117×C71—22no—
115C2×C4⋊C4×C71C2×C411yescharacteristic
116C2×C4⋊C4×C71C2×C411yescharacteristic
117C2×C22⋊C4×C71C2×C411yescharacteristic
118C2×C22⋊C4×C71C2×C411yescharacteristic
119C2×C42×C71C2311yescharacteristic
120C2×C42×C71C2311yescharacteristic
121C4⋊C8×C71—22no—
122C4⋊C8×C71—22no—
123C22⋊C8×C71—24no—
124C23×D71—22no—
125C23×D71—22no—
126C23×D71—22no—
127C23×D71—24no—
128C23×D71—42no—
129C23×D71C22×C411yescharacteristic
130C23×D71C22×C411yescharacteristic
131C22×Dic71—22no—
132C22×Dic71—22no—
133C22×Dic71—22no—
134C22×Dic71C22×C411yescharacteristic
135C22×Dic71C22×C411yescharacteristic
136C22×Dic71C22×C411yescharacteristic
137C22×Dic71C22×C411yescharacteristic
138C22×Dic71C22×C411yescharacteristic
139C22×Dic71C22×C411yescharacteristic
140C2×C4×D71—28no—
141C2×C4×D71—28no—
142C2×C4×D71—28no—
143C2×C4×D71—28no—
144C2×C4×D71—22no—
145C2×C4×D71—22no—
146C2×C4×D71—24no—
147C2×C4×D71—22no—
148C2×C4×D71—22no—
149C2×C4×D71—21no—
150C2×C4×D71—21no—
151C2×C4×D71—21no—
152C2×C4×D71—21no—
153C2×C4×D71—21no—
154C2×C4×D71—21no—
155C2×C4×D71—21no—
156C2×C4×D71—21no—
157C2×C4×D71—22no—
158C2×C4×D71—22no—
159C2×C4×D71—22no—
160C2×C4×D71—22no—
161C2×C4×D71—24no—
162C2×C4×D71—42no—
163C2×C4×D71—42no—
164C2×C4×D71C22⋊C414yes—
165C2×C4×D71C22⋊C414yes—
166C2×C4×D71C2×D412yes—
167C2×C4×D71C2×D412yes—
168C2×C4×D71#4112yes—
169C2×C4×D71#4112yes—
170C2×C71⋊C8—22no—
171C2×C71⋊C8—22no—
172C2×C71⋊C8—22no—
173C2×C71⋊C8—22no—
174C2×C71⋊C8—22no—
175C2×C71⋊C8—22no—
176C4⋊Dic71—22no—
177C4⋊Dic71—22no—
178Dic71⋊C4—22no—
179Dic71⋊C4—22no—
180Dic71⋊C4—22no—
181Dic71⋊C4—22no—
182C22⋊Dic71—22no—
183C22⋊Dic71—22no—
184(C2×D71)⋊C4—22no—
185(C2×D71)⋊C4—22no—
186(C2×D71)⋊C4—22no—
187(C2×D71)⋊C4—22no—
188C4×Dic71—21no—
189C4×Dic71—21no—
190C4×Dic71—22no—
191C4×Dic71—22no—
192C4×Dic71C22⋊C414yes—
193C4×Dic71C22⋊C414yes—
194C4×Dic71C2×D412yes—
195C4×Dic71C2×D412yes—
196C24×C71C22×C411yescharacteristic
197C22×C4×C71—21no—
198C22×C4×C71—21no—
199C22×C4×C71—21no—
200C22×C4×C71—21no—
201C22×C4×C71C22×C411yescharacteristic
202C22×C4×C71C22×C411yescharacteristic
203C22×C4×C71C22×C411yescharacteristic
204C22×C4×C71C22×C411yescharacteristic
205C22×C4×C71C22×C411yescharacteristic
206C22×C4×C71#4112yes—
207C22×C4×C71#4112yes—
208C22×C4×C71C2411yescharacteristic
209C2×C8×C71—22no—
210C2×C8×C71—22no—
211C2×C8×C71—22no—
212C2×C8×C71—22no—
213C2×C8×C71—22no—
214C2×C8×C71—22no—
215C4⋊C4×C71—22no—
216C4⋊C4×C71—22no—
217C22⋊C4×C71—22no—
218C22⋊C4×C71—22no—
219C42×C71—21no—
220C42×C71—21no—
221C42×C71C2×D412yes—
222C42×C71C2×D412yes—
223C23×C71—21no—
224C23×C71—21no—
225C23×C71—22no—
226C23×C71—22no—
227C23×C71#11712yes—
228C23×C71C23×C411yescharacteristic
229C22×D71—21no—
230C22×D71—21no—
231C22×D71—22no—
232C22×D71—28no—
233C22×D71—21no—
234C22×D71—21no—
235C22×D71—22no—
236C22×D71—22no—
237C22×D71—48no—
238C22×D71—48no—
239C22×D71—44no—
240C22×D71—44no—
241C22×D71C2×C22⋊C412yes—
242C22×D71#11712yes—
243C22×D71#13114yes—
244C2×C4×C71—21no—
245C2×C4×C71—21no—
246C2×C4×C71—22no—
247C2×C4×C71—22no—
248C2×C4×C71—22no—
249C2×C4×C71—22no—
250C2×C4×C71—22no—
251C2×C4×C71—22no—
252C2×C4×C71—21no—
253C2×C4×C71—21no—
254C2×C4×C71—22no—
255C2×C4×C71—22no—
256C2×C4×C71C2×C22⋊C412yes—
257C2×C4×C71C2×C22⋊C412yes—
258C2×C4×C71#11712yes—
259C2×C4×C71C22×D411yescharacteristic
260C2×C4×C71C22×D411yescharacteristic
261C2×C4×C71C2×#4111yescharacteristic
262C2×C4×C71C2×#4111yescharacteristic
263C2×C4×C71C2×#4111yescharacteristic
264C2×C4×C71C2×#4111yescharacteristic
265C2×Dic71—28no—
266C2×Dic71—21no—
267C2×Dic71—21no—
268C2×Dic71—21no—
269C2×Dic71—21no—
270C2×Dic71—22no—
271C2×Dic71—22no—
272C2×Dic71—21no—
273C2×Dic71—21no—
274C2×Dic71—22no—
275C2×Dic71—22no—
276C2×Dic71C2×C22⋊C412yes—
277C2×Dic71C2×C22⋊C412yes—
278C2×Dic71C2×C22⋊C412yes—
279C2×Dic71#11712yes—
280C4×D71—28no—
281C4×D71—28no—
282C4×D71—28no—
283C4×D71—22no—
284C4×D71—22no—
285C4×D71—22no—
286C4×D71—22no—
287C4×D71—22no—
288C4×D71—22no—
289C4×D71—22no—
290C4×D71—22no—
291C4×D71—44no—
292C4×D71—44no—
293C4×D71—44no—
294C8×C71—42no—
295C8×C71—42no—
296C71⋊C8—42no—
297C71⋊C8—42no—
298C22×C71—24no—
299C22×C71—22no—
300C22×C71—41no—
301C22×C71—41no—
302C22×C71—42no—
303C22×C71C22×C22⋊C411yescharacteristic
304C22×C71C2×#11711yescharacteristic
305C22×C71C2×#11711yescharacteristic
306C22×C71C2×#13112yes—
307C22×C71#56812yes—
308C2×D71—22no—
309C2×D71—24no—
310C2×D71—24no—
311C2×D71—22no—
312C2×D71—24no—
313C2×D71—22no—
314C2×D71—416no—
315C2×D71—41no—
316C2×D71—41no—
317C2×D71—42no—
318C2×D71#40814yes—
319C4×C71—22no—
320C4×C71—22no—
321C4×C71—22no—
322C4×C71—41no—
323C4×C71—41no—
324C4×C71#52511yescharacteristic
325C4×C71#52511yescharacteristic
326C4×C71#52511yescharacteristic
327C4×C71#52511yescharacteristic
328Dic71—22no—
329Dic71—22no—
330Dic71—22no—
331Dic71—22no—
332Dic71—41no—
333Dic71—41no—
334#20717—711nomaximal, Sylow
335C2×C71—42no—
336C2×C71#228011yescharacteristic
337C2×C71C2×#40811yescharacteristic
338C2×C71#287911yescharacteristic
339C2×C71#292412yes—
340C2×C71#292412yes—
341D71—24no—
342D71—42no—
343C22×#117—711no—
344C2×#432—711no—
345C2×#431—711no—
346#1817—712no—
347#1798—711no—
348#1798—711no—
349#1798—711no—
350#1798D7111yescharacteristic, complemented
351#1779—712no—
352#1750—712no—
353#1750—712no—
354C71#2071711yescharacteristic, complemented, Sylow
355C24×C4—711no—
356C2×#117—711no—
357C2×#117—711no—
358C2×#117—711no—
359C2×#117—711no—
360C2×#117—711no—
361C2×#117—711no—
362C2×#117—711no—
363C2×#117—1424no—
364C2×#117—1424no—
365C2×#117C2×D7111yescharacteristic
366C22×C4⋊C4—711no—
367C22×C4⋊C4—711no—
368C22×C22⋊C4—711no—
369C22×C22⋊C4—711no—
370C22×C42—711no—
371C22×C42—711no—
372#432—1424no—
373#431—1424no—
374C2×C4⋊C8—711no—
375C2×C4⋊C8—711no—
376C2×C4⋊C8C2×D7111yescharacteristic, complemented
377C2×C4⋊C8C2×D7111yescharacteristic, complemented
378C2×C22⋊C8—712no—
379C2×C22⋊C8—712no—
380C2×C22⋊C8—712no—
381C2×C22⋊C8—712no—
382C2×C22⋊C8—712no—
383C2×C22⋊C8C2×D7112yes—
384C2×#97—712no—
385C2×C4×C8—712no—
386#336—712no—
387#336—712no—
388#336—712no—
389#336C2×D7112yescomplemented
390C25—711no—
391C23×C4—711no—
392C23×C4—711no—
393C23×C4—711no—
394C23×C4—711no—
395C23×C4—711no—
396C23×C4—711no—
397C23×C4—711no—
398C23×C4—711no—
399C23×C4—711no—
400C23×C4—1422no—
401C23×C4—1422no—
402C23×C4—1422no—
403C23×C4—1422no—
404C23×C4—1422no—
405C23×C4—1422no—
406C23×C4C22×D7111yescharacteristic
407C22×C8—712no—
408C22×C8—712no—
409C22×C8C22×D7112yes—
410C22×C8C22×D7112yes—
411#117—22no—
412#117—22no—
413#117—1422no—
414#117—1422no—
415#117—1424no—
416#117—1424no—
417#117—1424no—
418#117—1424no—
419#117—1422no—
420#117—1422no—
421#117—1422no—
422#117—1422no—
423C2×C4⋊C4—711no—
424C2×C4⋊C4—711no—
425C2×C4⋊C4—711no—
426C2×C4⋊C4—711no—
427C2×C4⋊C4—711no—
428C2×C4⋊C4—711no—
429C2×C4⋊C4—1424no—
430C2×C4⋊C4—1424no—
431C2×C4⋊C4C4×D7111yescharacteristic
432C2×C4⋊C4C4×D7111yescharacteristic
433C2×C22⋊C4—711no—
434C2×C22⋊C4—711no—
435C2×C22⋊C4—711no—
436C2×C22⋊C4—711no—
437C2×C22⋊C4—711no—
438C2×C22⋊C4—711no—
439C2×C22⋊C4—1424no—
440C2×C22⋊C4—1424no—
441C2×C22⋊C4C4×D7111yescharacteristic
442C2×C22⋊C4C4×D7111yescharacteristic
443C2×C42—711no—
444C2×C42—711no—
445C2×C42—711no—
446C2×C42—714no—
447C2×C42—714no—
448C2×C42—711no—
449C2×C42—711no—
450C2×C42—711no—
451C2×C42—1422no—
452C2×C42—1422no—
453C2×C42C22×D7111yescharacteristic
454C2×C42C22×D7111yescharacteristic
455C4⋊C8—22no—
456C4⋊C8—22no—
457C4⋊C8—1422no—
458C4⋊C8—1422no—
459C22⋊C8—24no—
460C22⋊C8—1424no—
461C22⋊C8—1424no—
462C22⋊C8—1424no—
463C22⋊C8—1424no—
464C22⋊C8—1424no—
465#97—1424no—
466C4×C8—1424no—
467C24—2842no—
468C24—711no—
469C24—711no—
470C24—1424no—
471C24—1422no—
472C24—1422no—
473C24—1422no—
474C24C2×C4×D7111yescharacteristic
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—2842no—
480C22×C4—2842no—
481C22×C4—714no—
482C22×C4—711no—
483C22×C4—711no—
484C22×C4—711no—
485C22×C4—711no—
486C22×C4—712no—
487C22×C4—712no—
488C22×C4—712no—
489C22×C4—712no—
490C22×C4—714no—
491C22×C4—711no—
492C22×C4—711no—
493C22×C4—1422no—
494C22×C4—1422no—
495C22×C4—1424no—
496C22×C4—1422no—
497C22×C4—1422no—
498C22×C4—1422no—
499C22×C4—1424no—
500C22×C4—1422no—
501C22×C4—1428no—
502C22×C4—1428no—
503C22×C4—1428no—
504C22×C4—1428no—
505C22×C4—1422no—
506C22×C4—1422no—
507C22×C4—1422no—
508C22×C4—1421no—
509C22×C4—1421no—
510C22×C4—1421no—
511C22×C4—1421no—
512C22×C4—1421no—
513C22×C4—1421no—
514C22×C4—1421no—
515C22×C4—1421no—
516C22×C4—1422no—
517C22×C4—1422no—
518C22×C4C2×C4×D7111yescharacteristic
519C22×C4C2×C4×D7111yescharacteristic
520C22×C4C2×C4×D7111yescharacteristic
521C22×C4C2×C4×D7111yescharacteristic
522C22×C4C2×C4×D7111yescharacteristic
523C22×C4#1176586412yes—
524C22×C4#1176586612yes—
525C22×C4C23×D7111yescharacteristic
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—1422no—
533C2×C8—1422no—
534C2×C8—1422no—
535C2×C8—1422no—
536C2×C8—1422no—
537C2×C8—1422no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—1422no—
541C4⋊C4—1422no—
542C4⋊C4—1422no—
543C4⋊C4—1422no—
544C4⋊C4—1422no—
545C4⋊C4—1422no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—1422no—
549C22⋊C4—1422no—
550C22⋊C4—1422no—
551C22⋊C4—1422no—
552C22⋊C4—1422no—
553C22⋊C4—1422no—
554C42—21no—
555C42—21no—
556C42—712no—
557C42—712no—
558C42—714no—
559C42—714no—
560C42—1422no—
561C42—1422no—
562C42—1421no—
563C42—1421no—
564C42D4×D7112yes—
565C42D4×D7112yes—
566C23—21no—
567C23—21no—
568C23—22no—
569C23—22no—
570C23—2848no—
571C23—2844no—
572C23—2844no—
573C23—2848no—
574C23—712no—
575C23—714no—
576C23—712no—
577C23—1428no—
578C23—1421no—
579C23—1421no—
580C23—1422no—
581C23—1422no—
582C23—1421no—
583C23—1421no—
584C23—1422no—
585C23#1455608612yes—
586C23C22×C4×D7111yescharacteristic
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—2844no—
600C2×C4—2844no—
601C2×C4—2844no—
602C2×C4—712no—
603C2×C4—712no—
604C2×C4—712no—
605C2×C4—712no—
606C2×C4—1428no—
607C2×C4—1428no—
608C2×C4—1428no—
609C2×C4—1421no—
610C2×C4—1421no—
611C2×C4—1422no—
612C2×C4—1422no—
613C2×C4—1428no—
614C2×C4—1421no—
615C2×C4—1421no—
616C2×C4—1421no—
617C2×C4—1421no—
618C2×C4—1422no—
619C2×C4—1422no—
620C2×C4—1422no—
621C2×C4—1422no—
622C2×C4—1422no—
623C2×C4—1422no—
624C2×C4—1422no—
625C2×C4—1422no—
626C2×C4—1422no—
627C2×C4—1422no—
628C2×C4C22⋊C4×D7112yes—
629C2×C4C22⋊C4×D7112yes—
630C2×C4#1455608612yes—
631C2×C4C2×D4×D7111yescharacteristic
632C2×C4C2×D4×D7111yescharacteristic
633C2×C4#41×D7111yescharacteristic
634C2×C4#41×D7111yescharacteristic
635C2×C4C2×#1176586411yescharacteristic
636C2×C4C2×#1176586611yescharacteristic
637C8—42no—
638C8—42no—
639C8—2842no—
640C8—2842no—
641C22—22no—
642C22—24no—
643C22—42no—
644C22—41no—
645C22—41no—
646C22—28416no—
647C22—2842no—
648C22—2841no—
649C22—2841no—
650C22—714no—
651C22—1422no—
652C22—1424no—
653C22—1422no—
654C22—1424no—
655C22—1424no—
656C22—1422no—
657C22C2×C22⋊C4×D7111yescharacteristic
658C22#117×D7111yescharacteristic
659C22C2×#1455608611yescharacteristic
660C22#131×D7112yes—
661C22#1798676412yes—
662C4—22no—
663C4—22no—
664C4—22no—
665C4—41no—
666C4—41no—
667C4—2841no—
668C4—2841no—
669C4—1422no—
670C4—1422no—
671C4—1422no—
672C4—1422no—
673C4#1798650911yescharacteristic
674C4#1798650911yescharacteristic
675C4#1798651211yescharacteristic
676C4#1798651211yescharacteristic
677C2—42no—
678C2—2842no—
679C2—1424no—
680C2#2259072211yescharacteristic
681C2#408×D7111yescharacteristic
682C2#2259678211yescharacteristic
683C2#2259699612yes—
684C2#2259699712yes—
subgroupG/H
center, FrattiniC22×C4C23×D71
commutator, socleC23×C71C23×C4
FittingC71×#1798C2
prime radicalC24×D71C2×C4
cosocleC22×C4×C71C24
hypercenter#1798D71
hypocenterC71#20717
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ #1798

Complements

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

NH ≅ G/Ntype
2. C2×#17986055C2semidirect
3. C2×#17986051C2semidirect
4. #22588407C2semidirect
5. #22588324C2semidirect
6. #22588321C2semidirect
7. #22588321C2semidirect
9. #22588108C2semidirect
10. #22588105C2semidirect
11. C71×#1798C2semidirect
30. C2×C4⋊(C71⋊C8)C22semidirect
31. C2×C4⋊(C71⋊C8)C22semidirect
37. C2×#14556038C22semidirect
38. C2×C8×Dic71C22semidirect
39. #17985754C22semidirect
40. #17985753C22semidirect
41. #17985753C22semidirect
43. C2×C4⋊C8×C71C22semidirect
44. C2×C4⋊C8×C71C22semidirect
46. #336×C71C22semidirect
350. #1798D71semidirect
354. C71#20717semidirect
376. C2×C4⋊C8C2×D71semidirect
377. C2×C4⋊C8C2×D71semidirect
389. #336C2×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#117×D712
C2×#179860552
C2×#179860512
#225884072
#225883242
#225883212
#225882492
#225881082
#225881052
C71×#17982
#2071771