Finite Group Databasebeta

← #32007265

Subgroups — #32007265

Order 18176.

1158 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22590747C211yesmaximal, characteristic, complemented
2#22590738C211yesmaximal, characteristic, complemented
3#22589326C212yesmaximal, complemented
4#22589177C212yesmaximal
5#22588799C214yesmaximal, complemented
6#22588328C214yesmaximal, complemented
7C2×#529×C71C211yesmaximal, characteristic
8C2×#14556087C2212yes—
9C2×#14556043C2218yes—
10#17985869—21no—
11#17985867—21no—
12#17985865—21no—
13#17985865—21no—
14#17985862C2212yes—
15#17985859C2212yes—
16#17985859C2212yes—
17#17985859C2212yes—
18C4×C4⋊Dic71—21no—
19C4×C4⋊Dic71—21no—
20C4×C4⋊Dic71—21no—
21C4×C22⋊Dic71C2212yes—
22#17985845—21no—
23#17985766C2218yes—
24#529×C71—21no—
25#529×C71—21no—
26#529×C71—21no—
27#529×C71—21no—
28#529×C71—21no—
29#529×C71—21no—
30#529×C71—21no—
31#529×C71—21no—
32C2×#126×C71C412yescomplemented
33C2×#125×C71C411yescharacteristic, complemented
34C2×#124×C71C411yescharacteristic, complemented
35C2×#123×C71C2212yes—
36C2×C22⋊Q8×C71C2211yescharacteristic
37C2×#121×C71C2211yescharacteristic
38C2×C4×Q8×C71C411yescharacteristic, complemented
39C2×C4×D4×C71C411yescharacteristic, complemented
40C2×C4×D4×C71C2212yes—
41C2×#117×C71C412yescomplemented
42C22×C42×C71C2211yescharacteristic
43#14556087—44no—
44C2×C4⋊Dic71—22no—
45C2×C4⋊Dic71—22no—
46C2×C4⋊Dic71—22no—
47C2×C4⋊Dic71—22no—
48C2×C22⋊Dic71C2314yes—
49C2×C22⋊Dic71C2314yes—
50C2×C4×Dic71—22no—
51C2×C4×Dic71—22no—
52#14556043—48no—
53C71⋊#95—22no—
54C71⋊#95—22no—
55C71⋊#95—22no—
56C71⋊#95—22no—
57C71⋊#95—22no—
58C71⋊#95—22no—
59C22×Q8×C71C2×C411yescharacteristic
60C22×D4×C71C2×C411yescharacteristic
61C22×D4×C71C2312yes—
62C23×C4×C71C2×C412yes—
63C23×C4×C71C2311yescharacteristic
64C23×C4×C71C2311yescharacteristic
65C23×C4×C71C2311yescharacteristic
66#126×C71—22no—
67#126×C71—22no—
68#126×C71—22no—
69#126×C71—22no—
70#125×C71—21no—
71#125×C71—21no—
72#125×C71—21no—
73#125×C71—21no—
74#124×C71—21no—
75#124×C71—21no—
76#124×C71—21no—
77#124×C71—21no—
78#123×C71—22no—
79#123×C71—22no—
80#123×C71—22no—
81#123×C71—22no—
82C22⋊Q8×C71—21no—
83C22⋊Q8×C71—21no—
84C22⋊Q8×C71—21no—
85C22⋊Q8×C71—21no—
86#121×C71—21no—
87#121×C71—21no—
88#121×C71—21no—
89#121×C71—21no—
90C4×Q8×C71—21no—
91C4×Q8×C71—21no—
92C4×Q8×C71—21no—
93C4×Q8×C71—21no—
94C4×D4×C71—22no—
95C4×D4×C71—22no—
96C4×D4×C71—22no—
97C4×D4×C71—22no—
98C4×D4×C71—21no—
99C4×D4×C71—21no—
100C4×D4×C71—21no—
101C4×D4×C71—21no—
102#117×C71—22no—
103#117×C71—22no—
104#117×C71—22no—
105#117×C71—22no—
106C2×C4⋊C4×C71C2×C412yes—
107C2×C4⋊C4×C71C2×C412yes—
108C2×C4⋊C4×C71C2×C411yescharacteristic
109C2×C4⋊C4×C71C2×C412yes—
110C2×C4⋊C4×C71C2×C411yescharacteristic
111C2×C4⋊C4×C71C2×C412yes—
112C2×C22⋊C4×C71C2×C412yes—
113C2×C22⋊C4×C71C2×C412yes—
114C2×C22⋊C4×C71C2×C412yes—
115C2×C22⋊C4×C71C2×C412yes—
116C2×C22⋊C4×C71C2312yes—
117C2×C42×C71C2×C412yes—
118C2×C42×C71C2×C411yescharacteristic
119C2×C42×C71C2×C411yescharacteristic
120C2×C42×C71C2×C411yescharacteristic
121C2×C42×C71C2×C411yescharacteristic
122C2×C42×C71D411yescharacteristic
123C2×C42×C71D411yescharacteristic
124C2×C42×C71D411yescharacteristic
125C2×C42×C71D411yescharacteristic
126C2×C42×C71D411yescharacteristic
127C2×C42×C71D411yescharacteristic
128C2×C42×C71D411yescharacteristic
129C2×C42×C71D411yescharacteristic
130C22×Dic71—24no—
131C22×Dic71—24no—
132C4⋊Dic71—44no—
133C4⋊Dic71—44no—
134C4⋊Dic71—44no—
135C4⋊Dic71—44no—
136C22⋊Dic71—24no—
137C22⋊Dic71—28no—
138C22⋊Dic71—24no—
139C4×Dic71—44no—
140C4×Dic71—44no—
141C24×C71C22×C412yes—
142C24×C71C2411yescharacteristic
143C2×Q8×C71—21no—
144C2×Q8×C71—21no—
145C2×Q8×C71—42no—
146C2×D4×C71—22no—
147C2×D4×C71—22no—
148C2×D4×C71—24no—
149C2×D4×C71—24no—
150C2×D4×C71—21no—
151C2×D4×C71—21no—
152C2×D4×C71—42no—
153C22×C4×C71—22no—
154C22×C4×C71—22no—
155C22×C4×C71—22no—
156C22×C4×C71—22no—
157C22×C4×C71—42no—
158C22×C4×C71—42no—
159C22×C4×C71—44no—
160C22×C4×C71C22×C412yes—
161C22×C4×C71C22×C411yescharacteristic
162C22×C4×C71C22×C411yescharacteristic
163C22×C4×C71C22×C411yescharacteristic
164C22×C4×C71C22×C411yescharacteristic
165C22×C4×C71C22×C412yes—
166C22×C4×C71C22×C412yes—
167C22×C4×C71C22×C411yescharacteristic
168C22×C4×C71C22×C411yescharacteristic
169C22×C4×C71C2×D411yescharacteristic
170C22×C4×C71C2×D411yescharacteristic
171C22×C4×C71C2×D411yescharacteristic
172C22×C4×C71C2×D411yescharacteristic
173C22×C4×C71C2×D411yescharacteristic
174C22×C4×C71C2×D411yescharacteristic
175C22×C4×C71C2×D411yescharacteristic
176C22×C4×C71C2×D411yescharacteristic
177C22×C4×C71C2×D411yescharacteristic
178C22×C4×C71C2×D411yescharacteristic
179C22×C4×C71C2×D411yescharacteristic
180C22×C4×C71C2×D411yescharacteristic
181C4⋊C4×C71—22no—
182C4⋊C4×C71—22no—
183C4⋊C4×C71—22no—
184C4⋊C4×C71—22no—
185C4⋊C4×C71—21no—
186C4⋊C4×C71—21no—
187C4⋊C4×C71—22no—
188C4⋊C4×C71—22no—
189C4⋊C4×C71—21no—
190C4⋊C4×C71—21no—
191C4⋊C4×C71—22no—
192C4⋊C4×C71—22no—
193C22⋊C4×C71—22no—
194C22⋊C4×C71—22no—
195C22⋊C4×C71—22no—
196C22⋊C4×C71—22no—
197C22⋊C4×C71—22no—
198C22⋊C4×C71—22no—
199C22⋊C4×C71—22no—
200C22⋊C4×C71—22no—
201C22⋊C4×C71—22no—
202C22⋊C4×C71—22no—
203C42×C71—22no—
204C42×C71—22no—
205C42×C71C22⋊C411yescharacteristic
206C42×C71C22⋊C411yescharacteristic
207C42×C71C22⋊C411yescharacteristic
208C42×C71C22⋊C411yescharacteristic
209C42×C71C22⋊C411yescharacteristic
210C42×C71C22⋊C411yescharacteristic
211C42×C71C22⋊C411yescharacteristic
212C42×C71C22⋊C411yescharacteristic
213C42×C71C22⋊C411yescharacteristic
214C42×C71C22⋊C411yescharacteristic
215C42×C71C22⋊C411yescharacteristic
216C42×C71C22⋊C411yescharacteristic
217C42×C71C22⋊C411yescharacteristic
218C42×C71C22⋊C411yescharacteristic
219C42×C71C22⋊C411yescharacteristic
220C42×C71C22⋊C411yescharacteristic
221C23×C71—22no—
222C23×C71—24no—
223C23×C71—41no—
224C23×C71—41no—
225C23×C71—42no—
226C23×C71—42no—
227C23×C71C23×C411yescharacteristic
228C23×C71C22×D411yescharacteristic
229C23×C71C22×D411yescharacteristic
230C23×C71H(5,𝔽2)12yes—
231C23×C712−1+412yes—
232Q8×C71—42no—
233Q8×C71—42no—
234D4×C71—42no—
235D4×C71—42no—
236D4×C71—42no—
237D4×C71—44no—
238D4×C71—42no—
239C2×C4×C71—22no—
240C2×C4×C71—22no—
241C2×C4×C71—21no—
242C2×C4×C71—21no—
243C2×C4×C71—21no—
244C2×C4×C71—21no—
245C2×C4×C71—22no—
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—22no—
253C2×C4×C71—22no—
254C2×C4×C71—22no—
255C2×C4×C71—22no—
256C2×C4×C71—24no—
257C2×C4×C71—41no—
258C2×C4×C71—41no—
259C2×C4×C71—41no—
260C2×C4×C71—41no—
261C2×C4×C71—41no—
262C2×C4×C71—41no—
263C2×C4×C71—44no—
264C2×C4×C71—44no—
265C2×C4×C71—42no—
266C2×C4×C71—42no—
267C2×C4×C71C2×C22⋊C411yescharacteristic
268C2×C4×C71C2×C22⋊C411yescharacteristic
269C2×C4×C71C2×C22⋊C411yescharacteristic
270C2×C4×C71C2×C22⋊C411yescharacteristic
271C2×C4×C71C2×C22⋊C411yescharacteristic
272C2×C4×C71C2×C22⋊C411yescharacteristic
273C2×C4×C71C2×C22⋊C411yescharacteristic
274C2×C4×C71C2×C22⋊C411yescharacteristic
275C2×C4×C71C2×C22⋊C411yescharacteristic
276C2×C4×C71C2×C22⋊C411yescharacteristic
277C2×C4×C71C2×C22⋊C411yescharacteristic
278C2×C4×C71C2×C22⋊C411yescharacteristic
279C2×Dic71—44no—
280C2×Dic71—44no—
281C2×Dic71—44no—
282C2×Dic71—44no—
283C2×Dic71—44no—
284C2×Dic71—44no—
285C22×C71—21no—
286C22×C71—21no—
287C22×C71—21no—
288C22×C71—21no—
289C22×C71—21no—
290C22×C71—21no—
291C22×C71—42no—
292C22×C71—42no—
293C22×C71—42no—
294C22×C71—42no—
295C22×C71—42no—
296C22×C71—84no—
297C22×C71C22×C22⋊C411yescharacteristic
298C22×C71#52012yes—
299C22×C71#53511yescharacteristic
300C22×C71#53611yescharacteristic
301C22×C71#53712yes—
302C4×C71—21no—
303C4×C71—21no—
304C4×C71—21no—
305C4×C71—21no—
306C4×C71—21no—
307C4×C71—21no—
308C4×C71—21no—
309C4×C71—21no—
310C4×C71—21no—
311C4×C71—21no—
312C4×C71—42no—
313C4×C71—42no—
314C4×C71—42no—
315C4×C71#41012yes—
316C4×C71#41012yes—
317Dic71—84no—
318Dic71—84no—
319#21875—711nomaximal, Sylow
320C2×C71—21no—
321C2×C71—22no—
322C2×C71—22no—
323C2×C71—21no—
324C2×C71—82no—
325C2×C71#231111yescharacteristic
326C2×C71C2×#41011yescharacteristic
327C2×C71C2×#41011yescharacteristic
328C2×#529D7111yescharacteristic
329#2285—711no—
330#2283—711no—
331#1996—712no—
332#1964—712no—
333#1899—714no—
334#1799—714no—
335C71#2187511yescharacteristic, complemented, Sylow
336#529—21no—
337#529—21no—
338#529—21no—
339#529—21no—
340#529—21no—
341#529—21no—
342#529—21no—
343#529—21no—
344C2×#126Dic7112yescomplemented
345C2×#125Dic7111yescharacteristic, complemented
346C2×#124Dic7111yescharacteristic, complemented
347C2×#123C2×D7112yes—
348C2×C22⋊Q8C2×D7111yescharacteristic
349C2×#121C2×D7111yescharacteristic
350C2×C4×Q8Dic7111yescharacteristic, complemented
351C2×C4×D4Dic7111yescharacteristic, complemented
352C2×C4×D4C2×D7112yes—
353C2×#117—712no—
354C2×#117Dic7112yescomplemented
355C22×C42C2×D7111yescharacteristic
356C2×#99—718no—
357#384—1421no—
358#383—1421no—
359#382—1421no—
360#382—1421no—
361#381—712no—
362#380—712no—
363#380—712no—
364#380—712no—
365C4×C4⋊C4—1421no—
366C4×C4⋊C4—1421no—
367C4×C4⋊C4—1421no—
368C4×C22⋊C4—712no—
369#376—1421no—
370#342—718no—
371C22×Q8C2×Dic7111yescharacteristic
372C22×D4C2×Dic7111yescharacteristic
373C22×D4C22×D7112yes—
374C23×C4C2×Dic7112yes—
375C23×C4C22×D7111yescharacteristic
376C23×C4C22×D7111yescharacteristic
377C23×C4C22×D7111yescharacteristic
378#126—22no—
379#126—22no—
380#126—22no—
381#126—22no—
382#125—21no—
383#125—21no—
384#125—21no—
385#125—21no—
386#124—21no—
387#124—21no—
388#124—21no—
389#124—21no—
390#123—22no—
391#123—22no—
392#123—22no—
393#123—22no—
394C22⋊Q8—21no—
395C22⋊Q8—21no—
396C22⋊Q8—21no—
397C22⋊Q8—21no—
398#121—21no—
399#121—21no—
400#121—21no—
401#121—21no—
402C4×Q8—21no—
403C4×Q8—21no—
404C4×Q8—21no—
405C4×Q8—21no—
406C4×D4—22no—
407C4×D4—22no—
408C4×D4—22no—
409C4×D4—22no—
410C4×D4—21no—
411C4×D4—21no—
412C4×D4—21no—
413C4×D4—21no—
414#117—22no—
415#117—22no—
416#117—22no—
417#117—22no—
418#117—2844no—
419C2×C4⋊C4—1422no—
420C2×C4⋊C4—1422no—
421C2×C4⋊C4—1422no—
422C2×C4⋊C4—1422no—
423C2×C4⋊C4C2×Dic7112yes—
424C2×C4⋊C4C2×Dic7112yes—
425C2×C4⋊C4C2×Dic7111yescharacteristic
426C2×C4⋊C4C2×Dic7112yes—
427C2×C4⋊C4C2×Dic7111yescharacteristic
428C2×C4⋊C4C2×Dic7112yes—
429C2×C22⋊C4—714no—
430C2×C22⋊C4—714no—
431C2×C22⋊C4C2×Dic7112yes—
432C2×C22⋊C4C2×Dic7112yes—
433C2×C22⋊C4C2×Dic7112yes—
434C2×C22⋊C4C2×Dic7112yes—
435C2×C22⋊C4C22×D7112yes—
436C2×C42—1422no—
437C2×C42—1422no—
438C2×C42C2×Dic7112yes—
439C2×C42C2×Dic7111yescharacteristic
440C2×C42C2×Dic7111yescharacteristic
441C2×C42C2×Dic7111yescharacteristic
442C2×C42C2×Dic7111yescharacteristic
443C2×C42C22⋊D7111yescharacteristic
444C2×C42C22⋊D7111yescharacteristic
445C2×C42C22⋊D7111yescharacteristic
446C2×C42C22⋊D7111yescharacteristic
447C2×C42C22⋊D7111yescharacteristic
448C2×C42C22⋊D7111yescharacteristic
449C2×C42C22⋊D7111yescharacteristic
450C2×C42C22⋊D7111yescharacteristic
451#99—2848no—
452#95—1422no—
453#95—1422no—
454#95—1422no—
455#95—1422no—
456#95—1422no—
457#95—1422no—
458C24C22×Dic7112yes—
459C24C23×D7111yescharacteristic
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—42no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—24no—
466C2×D4—24no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—42no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—44no—
477C22×C4—1424no—
478C22×C4—1424no—
479C22×C4C22×Dic7112yes—
480C22×C4C22×Dic7111yescharacteristic
481C22×C4C22×Dic7111yescharacteristic
482C22×C4C22×Dic7111yescharacteristic
483C22×C4C22×Dic7111yescharacteristic
484C22×C4C22×Dic7112yes—
485C22×C4C22×Dic7112yes—
486C22×C4C22×Dic7111yescharacteristic
487C22×C4C22×Dic7111yescharacteristic
488C22×C4C2×C22⋊D7111yescharacteristic
489C22×C4C2×C22⋊D7111yescharacteristic
490C22×C4C2×C22⋊D7111yescharacteristic
491C22×C4C2×C22⋊D7111yescharacteristic
492C22×C4C2×C22⋊D7111yescharacteristic
493C22×C4C2×C22⋊D7111yescharacteristic
494C22×C4C2×C22⋊D7111yescharacteristic
495C22×C4C2×C22⋊D7111yescharacteristic
496C22×C4C2×C22⋊D7111yescharacteristic
497C22×C4C2×C22⋊D7111yescharacteristic
498C22×C4C2×C22⋊D7111yescharacteristic
499C22×C4C2×C22⋊D7111yescharacteristic
500C4⋊C4—22no—
501C4⋊C4—22no—
502C4⋊C4—22no—
503C4⋊C4—22no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—22no—
507C4⋊C4—22no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—22no—
511C4⋊C4—22no—
512C4⋊C4—2844no—
513C4⋊C4—2844no—
514C4⋊C4—2844no—
515C4⋊C4—2844no—
516C22⋊C4—22no—
517C22⋊C4—22no—
518C22⋊C4—22no—
519C22⋊C4—22no—
520C22⋊C4—22no—
521C22⋊C4—22no—
522C22⋊C4—22no—
523C22⋊C4—22no—
524C22⋊C4—22no—
525C22⋊C4—22no—
526C22⋊C4—1424no—
527C22⋊C4—1428no—
528C22⋊C4—1424no—
529C42—22no—
530C42—22no—
531C42—2844no—
532C42—2844no—
533C42C22⋊Dic7111yescharacteristic
534C42C22⋊Dic7111yescharacteristic
535C42C22⋊Dic7111yescharacteristic
536C42C22⋊Dic7111yescharacteristic
537C42C22⋊Dic7111yescharacteristic
538C42C22⋊Dic7111yescharacteristic
539C42C22⋊Dic7111yescharacteristic
540C42C22⋊Dic7111yescharacteristic
541C42C22⋊Dic7111yescharacteristic
542C42C22⋊Dic7111yescharacteristic
543C42C22⋊Dic7111yescharacteristic
544C42C22⋊Dic7111yescharacteristic
545C42C22⋊Dic7111yescharacteristic
546C42C22⋊Dic7111yescharacteristic
547C42C22⋊Dic7111yescharacteristic
548C42C22⋊Dic7111yescharacteristic
549C23—22no—
550C23—24no—
551C23—41no—
552C23—41no—
553C23—42no—
554C23—42no—
555C23C23×Dic7111yescharacteristic
556C23C22×C22⋊D7111yescharacteristic
557C23C22×C22⋊D7111yescharacteristic
558C23#1455617412yes—
559C23#1455617512yes—
560Q8—42no—
561Q8—42no—
562D4—42no—
563D4—42no—
564D4—42no—
565D4—44no—
566D4—42no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—24no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—44no—
592C2×C4—44no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—2844no—
596C2×C4—2844no—
597C2×C4—2844no—
598C2×C4—2844no—
599C2×C4—2844no—
600C2×C4—2844no—
601C2×C4C2×C22⋊Dic7111yescharacteristic
602C2×C4C2×C22⋊Dic7111yescharacteristic
603C2×C4C2×C22⋊Dic7111yescharacteristic
604C2×C4C2×C22⋊Dic7111yescharacteristic
605C2×C4C2×C22⋊Dic7111yescharacteristic
606C2×C4C2×C22⋊Dic7111yescharacteristic
607C2×C4C2×C22⋊Dic7111yescharacteristic
608C2×C4C2×C22⋊Dic7111yescharacteristic
609C2×C4C2×C22⋊Dic7111yescharacteristic
610C2×C4C2×C22⋊Dic7111yescharacteristic
611C2×C4C2×C22⋊Dic7111yescharacteristic
612C2×C4C2×C22⋊Dic7111yescharacteristic
613C22—21no—
614C22—21no—
615C22—21no—
616C22—21no—
617C22—21no—
618C22—21no—
619C22—42no—
620C22—42no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—84no—
625C22C22×C22⋊Dic7111yescharacteristic
626C22#1798648212yes—
627C22#1798656311yescharacteristic
628C22#1798657011yescharacteristic
629C22#1798657712yes—
630C4—21no—
631C4—21no—
632C4—21no—
633C4—21no—
634C4—21no—
635C4—21no—
636C4—21no—
637C4—21no—
638C4—21no—
639C4—21no—
640C4—42no—
641C4—42no—
642C4—42no—
643C4—5684no—
644C4—5684no—
645C4#1798597312yes—
646C4#1798597312yes—
647C2—21no—
648C2—22no—
649C2—22no—
650C2—21no—
651C2—82no—
652C2#2259093211yescharacteristic
653C2C2×#1798597311yescharacteristic
654C2C2×#1798597311yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic71
commutatorC23×C71C23×C4
FrattiniC24C23×D71
FittingC2×#529×C71C2
socleC22×C71C22×C22⋊C4
prime radicalC2×#121×C71C22
cosocleC24×C71C24
hypercenterC2×#529D71
hypocenterC71#21875
LCSG ▷ C23×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C22×C42 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #22590747C2semidirect
2. #22590738C2semidirect
3. #22589326C2semidirect
5. #22588799C2semidirect
6. #22588328C2semidirect
32. C2×#126×C71C4semidirect
33. C2×#125×C71C4semidirect
34. C2×#124×C71C4semidirect
38. C2×C4×Q8×C71C4semidirect
39. C2×C4×D4×C71C4semidirect
41. C2×#117×C71C4semidirect
335. C71#21875semidirect
344. C2×#126Dic71semidirect
345. C2×#125Dic71semidirect
346. C2×#124Dic71semidirect
350. C2×C4×Q8Dic71semidirect
351. C2×C4×D4Dic71semidirect
354. C2×#117Dic71semidirect

Maximal subgroups

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

subgroupindex
#225907472
#225907382
#225893262
#225891772
#225887992
#225883282
C2×#529×C712
#2187571