Finite Group Databasebeta

← #31918960

Subgroups — #31918960

Order 18176.

2298 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17985870C212yesmaximal
2C2×C4×(C2×D71)⋊C4C212yesmaximal
3C2×C4×(C2×D71)⋊C4C211yesmaximal, characteristic
4C2×#95×D71C211yesmaximal, characteristic
5#22586573C212yesmaximal, complemented
6#22586572C212yesmaximal, complemented
7Dic71⋊#95C211yesmaximal, characteristic, complemented
8#22586567C211yesmaximal, characteristic, complemented
9(C2×D71)⋊#95C211yesmaximal, characteristic
10#95×Dic71C211yesmaximal, characteristic, complemented
11C2×C4×C4⋊C4×C71C211yesmaximal, characteristic, complemented
12C23×C4×D71C2212yes—
13C23×C4×D71C2211yescharacteristic
14C22×Dic71⋊C4C2212yes—
15C22×(C2×D71)⋊C4C2212yes—
16C22×(C2×D71)⋊C4C2211yescharacteristic
17C22×(C2×D71)⋊C4C2211yescharacteristic
18C22×C4×Dic71C2212yes—
19C22×C4×Dic71C2211yescharacteristic
20#17985870C4116yescomplemented
21C4×(C2×D71)⋊C4—28no—
22C4×(C2×D71)⋊C4C418yescomplemented
23C2×C71⋊#95C2211yescharacteristic
24C2×C71⋊#95C2211yescharacteristic
25C2×C71⋊#95C2212yes—
26C2×C71⋊#95C2212yes—
27C2×C71⋊#95C2212yes—
28C2×C71⋊#95C2212yes—
29C2×C71⋊#95C2212yes—
30C2×C71⋊#95C2212yes—
31C2×C71⋊#95C2211yescharacteristic
32C2×C71⋊#95C2211yescharacteristic
33#95×D71—24no—
34C22×C4⋊C4×C71C2212yes—
35C22×C42×C71C2212yes—
36C22×C42×C71C2211yescharacteristic
37C4×C4⋊C4×C71—24no—
38C2×#95×C71C2211yescharacteristic
39C2×#95×C71C2211yescharacteristic
40C24×D71C2311yescharacteristic
41C23×Dic71C2311yescharacteristic
42C23×Dic71C2312yes—
43C23×Dic71C2312yes—
44C23×Dic71C2311yescharacteristic
45C23×Dic71C2311yescharacteristic
46C22×C4×D71—24no—
47C22×C4×D71—24no—
48C22×C4×D71—24no—
49C22×C4×D71—22no—
50C22×C4×D71—24no—
51C22×C4×D71—22no—
52C22×C4×D71—24no—
53C22×C4×D71—42no—
54C22×C4×D71—42no—
55C22×C4×D71—42no—
56C22×C4×D71C2×C414yes—
57C22×C4×D71C2×C418yes—
58C2×Dic71⋊C4—42no—
59C2×Dic71⋊C4—42no—
60C2×Dic71⋊C4C2×C418yescomplemented
61C2×(C2×D71)⋊C4—24no—
62C2×(C2×D71)⋊C4—24no—
63C2×(C2×D71)⋊C4C2×C418yes—
64C2×(C2×D71)⋊C4C2×C414yes—
65C2×(C2×D71)⋊C4C2×C418yes—
66C2×(C2×D71)⋊C4C2×C414yes—
67C2×(C2×D71)⋊C4D414yes—
68C2×(C2×D71)⋊C4Q814yes—
69C2×C4×Dic71—24no—
70C2×C4×Dic71—24no—
71C2×C4×Dic71—42no—
72C2×C4×Dic71—42no—
73C2×C4×Dic71C2×C414yescomplemented
74C71⋊#95—24no—
75C71⋊#95—22no—
76C71⋊#95—24no—
77C71⋊#95—24no—
78C71⋊#95—22no—
79C71⋊#95—42no—
80C71⋊#95C2×C414yescomplemented
81C71⋊#95C2×C414yescomplemented
82C71⋊#95C2×C418yescomplemented
83C71⋊#95C2×C418yescomplemented
84C23×C4×C71C2312yes—
85C23×C4×C71C2311yescharacteristic
86C23×C4×C71C2311yescharacteristic
87C23×C4×C71C2312yes—
88C23×C4×C71C2311yescharacteristic
89C2×C4⋊C4×C71—24no—
90C2×C4⋊C4×C71—24no—
91C2×C4⋊C4×C71C2×C418yescomplemented
92C2×C42×C71—22no—
93C2×C42×C71—22no—
94C2×C42×C71—24no—
95C2×C42×C71—24no—
96C2×C42×C71—42no—
97C2×C42×C71C2×C414yescomplemented
98#95×C71—22no—
99#95×C71D414yes—
100C23×D71—21no—
101C23×D71—22no—
102C23×D71—21no—
103C23×D71—21no—
104C23×D71—22no—
105C23×D71—21no—
106C23×D71C22×C412yes—
107C23×D71C22×C414yes—
108C23×D71C2×D412yes—
109C23×D71C2×Q812yes—
110C23×D71#4114yes—
111C22×Dic71—22no—
112C22×Dic71—22no—
113C22×Dic71—22no—
114C22×Dic71—21no—
115C22×Dic71—21no—
116C22×Dic71—22no—
117C22×Dic71—22no—
118C22×Dic71—21no—
119C22×Dic71—22no—
120C22×Dic71—22no—
121C22×Dic71—22no—
122C22×Dic71—22no—
123C22×Dic71—21no—
124C22×Dic71—22no—
125C22×Dic71—22no—
126C22×Dic71—22no—
127C22×Dic71—22no—
128C22×Dic71—22no—
129C22×Dic71—22no—
130C22×Dic71—22no—
131C22×Dic71—22no—
132C22×Dic71C22×C412yes—
133C22×Dic71C22×C414yes—
134C22×Dic71C22×C414yes—
135C22×Dic71C22×C412yes—
136C22×Dic71C22×C414yes—
137C22×Dic71C22×C412yes—
138C22×Dic71C2×D412yes—
139C22×Dic71C2×Q812yes—
140C2×C4×D71—28no—
141C2×C4×D71—216no—
142C2×C4×D71—28no—
143C2×C4×D71—216no—
144C2×C4×D71—48no—
145C2×C4×D71—44no—
146C2×C4×D71—48no—
147C2×C4×D71—48no—
148C2×C4×D71—48no—
149C2×C4×D71—48no—
150C2×C4×D71—48no—
151C2×C4×D71—48no—
152Dic71⋊C4—48no—
153(C2×D71)⋊C4—216no—
154(C2×D71)⋊C4C42116yescomplemented
155(C2×D71)⋊C4C4⋊C4116yescomplemented
156C4×Dic71—44no—
157C4×Dic71—48no—
158C24×C71C2411yescharacteristic
159C22×C4×C71—22no—
160C22×C4×C71—21no—
161C22×C4×C71—21no—
162C22×C4×C71—22no—
163C22×C4×C71—22no—
164C22×C4×C71—21no—
165C22×C4×C71—21no—
166C22×C4×C71—22no—
167C22×C4×C71—22no—
168C22×C4×C71—22no—
169C22×C4×C71—22no—
170C22×C4×C71—21no—
171C22×C4×C71—21no—
172C22×C4×C71—22no—
173C22×C4×C71—22no—
174C22×C4×C71—22no—
175C22×C4×C71—22no—
176C22×C4×C71—22no—
177C22×C4×C71—22no—
178C22×C4×C71C22×C414yes—
179C22×C4×C71C22×C412yes—
180C22×C4×C71C22×C414yes—
181C22×C4×C71C22×C412yes—
182C22×C4×C71C22×C412yes—
183C22×C4×C71C22×C414yes—
184C22×C4×C71C2×D412yes—
185C22×C4×C71C2×D412yes—
186C22×C4×C71C2×D414yes—
187C22×C4×C71C2×Q812yes—
188C22×C4×C71#4112yes—
189C22×C4×C71#4114yes—
190C4⋊C4×C71—216no—
191C42×C71—28no—
192C42×C71—48no—
193C23×C71C23×C411yescharacteristic
194C23×C71C23×C412yes—
195C23×C71C22×D411yescharacteristic
196C23×C71C22×D411yescharacteristic
197C23×C71C22×Q811yescharacteristic
198C23×C71C2×#4112yes—
199C23×C71C2×#4112yes—
200C23×C71C2×#4111yescharacteristic
201C23×C71H(5,𝔽2)11yescharacteristic
202C23×C71H(5,𝔽2)12yes—
203C23×C712−1+411yescharacteristic
204C22×D71—22no—
205C22×D71—24no—
206C22×D71—22no—
207C22×D71—24no—
208C22×D71—24no—
209C22×D71—22no—
210C22×D71—22no—
211C22×D71—24no—
212C22×D71—22no—
213C22×D71—24no—
214C22×D71—24no—
215C22×D71—22no—
216C22×D71—22no—
217C22×D71—24no—
218C22×D71—24no—
219C22×D71—24no—
220C22×D71—22no—
221C22×D71—24no—
222C22×D71C2×C4214yes—
223C22×D71C2×C4⋊C414yes—
224C22×D71#11714yes—
225C22×D71C4×D418yes—
226C22×D71C4×Q818yes—
227C2×C4×C71—22no—
228C2×C4×C71—22no—
229C2×C4×C71—22no—
230C2×C4×C71—24no—
231C2×C4×C71—24no—
232C2×C4×C71—22no—
233C2×C4×C71—24no—
234C2×C4×C71—22no—
235C2×C4×C71—24no—
236C2×C4×C71—22no—
237C2×C4×C71—22no—
238C2×C4×C71—24no—
239C2×C4×C71—24no—
240C2×C4×C71—24no—
241C2×C4×C71—24no—
242C2×C4×C71—22no—
243C2×C4×C71—22no—
244C2×C4×C71—24no—
245C2×C4×C71—24no—
246C2×C4×C71—22no—
247C2×C4×C71—24no—
248C2×C4×C71—24no—
249C2×C4×C71—24no—
250C2×C4×C71—42no—
251C2×C4×C71—42no—
252C2×C4×C71—42no—
253C2×C4×C71—42no—
254C2×C4×C71C2×C4214yes—
255C2×C4×C71C2×C4⋊C414yes—
256C2×C4×C71C4×D414yes—
257C2×C4×C71C4×D418yes—
258C2×Dic71—22no—
259C2×Dic71—22no—
260C2×Dic71—22no—
261C2×Dic71—24no—
262C2×Dic71—22no—
263C2×Dic71—24no—
264C2×Dic71—24no—
265C2×Dic71—24no—
266C2×Dic71—22no—
267C2×Dic71—24no—
268C2×Dic71—24no—
269C2×Dic71—22no—
270C2×Dic71—24no—
271C2×Dic71—24no—
272C2×Dic71—24no—
273C2×Dic71—22no—
274C2×Dic71—24no—
275C2×Dic71—42no—
276C2×Dic71—42no—
277C2×Dic71—42no—
278C2×Dic71—42no—
279C2×Dic71—42no—
280C2×Dic71—42no—
281C2×Dic71—42no—
282C2×Dic71—42no—
283C2×Dic71—42no—
284C2×Dic71—42no—
285C2×Dic71C2×C4214yes—
286C2×Dic71C2×C4⋊C414yes—
287C4×D71—416no—
288C4×D71—432no—
289C22×C71C22×C4211yescharacteristic
290C22×C71C22×C4⋊C411yescharacteristic
291C22×C71C2×#11711yescharacteristic
292C22×C71C2×C4×D412yes—
293C22×C71C2×C4×D411yescharacteristic
294C22×C71C2×C4×D412yes—
295C22×C71C2×C4×Q812yes—
296C22×C71C4×#4111yescharacteristic
297C22×C71C4×#4112yes—
298C22×C71#51812yes—
299C22×C71#51811yescharacteristic
300C22×C71#52011yescharacteristic
301C22×C71#52012yes—
302C22×C71D4211yescharacteristic
303C22×C71#54612yes—
304C22×C71#54612yes—
305C22×C71#54711yescharacteristic
306C22×C71D4×Q811yescharacteristic
307C22×C71#55112yes—
308C22×C71#55112yes—
309C22×C71#55212yes—
310C22×C71#55411yescharacteristic
311C22×C71#55412yes—
312C2×D71—24no—
313C2×D71—24no—
314C2×D71—24no—
315C2×D71—24no—
316C2×D71—28no—
317C2×D71—28no—
318C2×D71—28no—
319C2×D71—28no—
320C2×D71—24no—
321C2×D71—24no—
322C2×D71C4×C4⋊C418yescomplemented
323C4×C71—24no—
324C4×C71—24no—
325C4×C71—28no—
326C4×C71—24no—
327C4×C71—44no—
328Dic71—24no—
329Dic71—24no—
330Dic71—42no—
331Dic71—44no—
332Dic71—44no—
333#13814—711nomaximal, Sylow
334C2×C71C2×C4×C4⋊C411yescharacteristic
335C2×C71C42×D411yescharacteristic
336C2×C71#227511yescharacteristic
337C2×C71#234211yescharacteristic
338C2×C71#234311yescharacteristic
339C2×C71D4×C4⋊C411yescharacteristic
340C2×C71#234911yescharacteristic
341C2×C71#235812yes—
342C2×C71#235912yes—
343C2×C71#236012yes—
344C2×C71#236812yes—
345D71—28no—
346C2×#385—712no—
347C2×C4×C4⋊C4D7111yescharacteristic, complemented
348C2×C4×C22⋊C4—711no—
349C2×C4×C22⋊C4—712no—
350C22×#95—711no—
351#1436—712no—
352#1436—712no—
353C4⋊#95—711no—
354#1434—711no—
355C22⋊#95—711no—
356C4×#95—711no—
357C71#1381411yescharacteristic, complemented, Sylow
358C24×C4—711no—
359C24×C4—712no—
360C22×C4⋊C4—712no—
361C22×C4⋊C4C2×D7112yes—
362C22×C22⋊C4—711no—
363C22×C22⋊C4—711no—
364C22×C22⋊C4—712no—
365C22×C42—711no—
366C22×C42—712no—
367C22×C42C2×D7112yes—
368C22×C42C2×D7111yescharacteristic
369#385—7116no—
370C4×C4⋊C4—24no—
371C4×C22⋊C4—718no—
372C4×C22⋊C4—1428no—
373C2×#95—712no—
374C2×#95—712no—
375C2×#95—712no—
376C2×#95—711no—
377C2×#95—711no—
378C2×#95—711no—
379C2×#95—711no—
380C2×#95—712no—
381C2×#95—712no—
382C2×#95—712no—
383C2×#95—1424no—
384C2×#95C2×D7111yescharacteristic
385C2×#95C2×D7111yescharacteristic
386C25—711no—
387C23×C4—2842no—
388C23×C4—2842no—
389C23×C4—2842no—
390C23×C4—714no—
391C23×C4—718no—
392C23×C4—711no—
393C23×C4—711no—
394C23×C4—712no—
395C23×C4—712no—
396C23×C4—711no—
397C23×C4—1424no—
398C23×C4—1424no—
399C23×C4—1424no—
400C23×C4—1422no—
401C23×C4—1424no—
402C23×C4—1422no—
403C23×C4—1424no—
404C23×C4C22×D7112yes—
405C23×C4C22×D7111yescharacteristic
406C23×C4C22×D7111yescharacteristic
407C23×C4C22×D7112yes—
408C23×C4C22×D7111yescharacteristic
409C2×C4⋊C4—24no—
410C2×C4⋊C4—24no—
411C2×C4⋊C4—2842no—
412C2×C4⋊C4—2842no—
413C2×C4⋊C4—718no—
414C2×C4⋊C4C4×D7118yescomplemented
415C2×C22⋊C4—714no—
416C2×C22⋊C4—714no—
417C2×C22⋊C4—718no—
418C2×C22⋊C4—714no—
419C2×C22⋊C4—714no—
420C2×C22⋊C4—718no—
421C2×C22⋊C4—1424no—
422C2×C22⋊C4—1424no—
423C2×C42—22no—
424C2×C42—22no—
425C2×C42—24no—
426C2×C42—24no—
427C2×C42—42no—
428C2×C42—2842no—
429C2×C42—2842no—
430C2×C42—714no—
431C2×C42—1424no—
432C2×C42—1424no—
433C2×C42C4×D7114yescomplemented
434#95—22no—
435#95—2842no—
436#95—714no—
437#95—714no—
438#95—718no—
439#95—718no—
440#95—1424no—
441#95—1424no—
442#95—1422no—
443#95—1424no—
444#95—1422no—
445#95C22⋊D7114yes—
446C24—712no—
447C24—714no—
448C24—712no—
449C24—712no—
450C24—714no—
451C24—1421no—
452C24—1422no—
453C24—1421no—
454C24—1421no—
455C24—1422no—
456C24—1421no—
457C24C23×D7111yescharacteristic
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—2848no—
478C22×C4—2848no—
479C22×C4—2848no—
480C22×C4—2848no—
481C22×C4—2848no—
482C22×C4—2848no—
483C22×C4—2848no—
484C22×C4—2844no—
485C22×C4—712no—
486C22×C4—712no—
487C22×C4—714no—
488C22×C4—712no—
489C22×C4—712no—
490C22×C4—714no—
491C22×C4—712no—
492C22×C4—714no—
493C22×C4—1428no—
494C22×C4—14216no—
495C22×C4—1422no—
496C22×C4—1422no—
497C22×C4—1422no—
498C22×C4—1421no—
499C22×C4—1422no—
500C22×C4—1422no—
501C22×C4—1422no—
502C22×C4—1422no—
503C22×C4—1422no—
504C22×C4—1422no—
505C22×C4—1421no—
506C22×C4—1422no—
507C22×C4—1422no—
508C22×C4—1422no—
509C22×C4—1422no—
510C22×C4—1422no—
511C22×C4—1428no—
512C22×C4—14216no—
513C22×C4—1422no—
514C22×C4—1421no—
515C22×C4—1422no—
516C22×C4—1422no—
517C22×C4—1421no—
518C22×C4C2×C4×D7114yes—
519C22×C4C2×C4×D7112yes—
520C22×C4C2×C4×D7114yes—
521C22×C4C2×C4×D7112yes—
522C22×C4C2×C4×D7114yes—
523C22×C4C2×C4×D7112yes—
524C22×C4D4×D7112yes—
525C22×C4C2×C22⋊D7112yes—
526C22×C4C2×C22⋊D7114yes—
527C22×C4Q8×D7112yes—
528C22×C4#1176586512yes—
529C22×C4#1176586514yes—
530C4⋊C4—216no—
531C4⋊C4—2848no—
532C22⋊C4—7116no—
533C22⋊C4—7116no—
534C22⋊C4—14216no—
535C42—28no—
536C42—48no—
537C42—2848no—
538C42—2844no—
539C23—714no—
540C23—714no—
541C23—714no—
542C23—718no—
543C23—718no—
544C23—1422no—
545C23—1424no—
546C23—1424no—
547C23—1422no—
548C23—1422no—
549C23—1424no—
550C23—1424no—
551C23—1424no—
552C23—1422no—
553C23—1424no—
554C23—1422no—
555C23—1424no—
556C23—1422no—
557C23—1424no—
558C23—1424no—
559C23—1422no—
560C23—1422no—
561C23—1424no—
562C23C22×C4×D7111yescharacteristic
563C23C22×C4×D7112yes—
564C23C2×D4×D7111yescharacteristic
565C23C22×C22⋊D7111yescharacteristic
566C23C2×Q8×D7111yescharacteristic
567C23#41×D7112yes—
568C23C2×#1176586512yes—
569C23C2×#1176586511yescharacteristic
570C23#1455617311yescharacteristic
571C23#1455617412yes—
572C23#1455617611yescharacteristic
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—24no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—24no—
588C2×C4—22no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—28432no—
601C2×C4—28416no—
602C2×C4—2842no—
603C2×C4—2842no—
604C2×C4—2842no—
605C2×C4—2842no—
606C2×C4—2842no—
607C2×C4—2842no—
608C2×C4—2842no—
609C2×C4—2842no—
610C2×C4—2842no—
611C2×C4—2842no—
612C2×C4—714no—
613C2×C4—714no—
614C2×C4—1422no—
615C2×C4—1424no—
616C2×C4—1424no—
617C2×C4—1424no—
618C2×C4—1422no—
619C2×C4—1424no—
620C2×C4—1424no—
621C2×C4—1422no—
622C2×C4—1424no—
623C2×C4—1424no—
624C2×C4—1424no—
625C2×C4—1422no—
626C2×C4—1424no—
627C2×C4—1422no—
628C2×C4—1422no—
629C2×C4—1422no—
630C2×C4—1424no—
631C2×C4C42×D7114yes—
632C2×C4C4⋊C4×D7114yes—
633C2×C4C4×C22⋊D7114yes—
634C2×C4C4×C22⋊D7118yes—
635C22—718no—
636C22—1424no—
637C22—1424no—
638C22—1428no—
639C22—1428no—
640C22—1428no—
641C22—1428no—
642C22—1424no—
643C22—1424no—
644C22—1424no—
645C22—1424no—
646C22C2×C42×D7111yescharacteristic
647C22C2×C4⋊C4×D7111yescharacteristic
648C22#117×D7111yescharacteristic
649C22C4×D4×D7112yes—
650C22C2×C4×C22⋊D7111yescharacteristic
651C22C2×C4×C22⋊D7112yes—
652C22C4×Q8×D7112yes—
653C22C4×#1176586511yescharacteristic
654C22C4×#1176586512yes—
655C22#1798647112yes—
656C22#1798647311yescharacteristic
657C22#1798648011yescharacteristic
658C22#1798648112yes—
659C22D4×C22⋊D7111yescharacteristic
660C22#1798663712yes—
661C22#1798664512yes—
662C22#1798665011yescharacteristic
663C22Q8×C22⋊D7111yescharacteristic
664C22#1798667312yes—
665C22#1798667812yes—
666C22#1798669012yes—
667C22#1798670411yescharacteristic
668C22#1798670912yes—
669C4—24no—
670C4—28no—
671C4—24no—
672C4—24no—
673C4—44no—
674C4—2844no—
675C4—2844no—
676C4—2842no—
677C4—1424no—
678C4—1424no—
679C2—1428no—
680C2C4×C4⋊C4×D7111yescharacteristic
681C2C42×C22⋊D7111yescharacteristic
682C2#2259070011yescharacteristic
683C2#2259119011yescharacteristic
684C2#2259120311yescharacteristic
685C2C4⋊C4×C22⋊D7111yescharacteristic
686C2#2259125111yescharacteristic
687C2#2259131712yes—
688C2#2259133712yes—
689C2#2259134112yes—
690C2#2259142412yes—
subgroupG/H
center, FrattiniC24C23×D71
commutatorC22×C71C22×C42
FittingC2×C4×C4⋊C4×C71C2
socle, cosocleC24×C71C24
prime radicalC24×D71C23
hypercenterC2×C4×C4⋊C4D71
hypocenterC71#13814
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
5. #22586573C2semidirect
6. #22586572C2semidirect
7. Dic71⋊#95C2semidirect
8. #22586567C2semidirect
10. #95×Dic71C2semidirect
11. C2×C4×C4⋊C4×C71C2semidirect
20. #17985870C4semidirect
22. C4×(C2×D71)⋊C4C4semidirect
60. C2×Dic71⋊C4C2×C4semidirect
73. C2×C4×Dic71C2×C4semidirect
80. C71⋊#95C2×C4semidirect
81. C71⋊#95C2×C4semidirect
82. C71⋊#95C2×C4semidirect
83. C71⋊#95C2×C4semidirect
91. C2×C4⋊C4×C71C2×C4semidirect
97. C2×C42×C71C2×C4semidirect
154. (C2×D71)⋊C4C42semidirect
155. (C2×D71)⋊C4C4⋊C4semidirect
322. C2×D71C4×C4⋊C4semidirect
347. C2×C4×C4⋊C4D71semidirect
357. C71#13814semidirect
414. C2×C4⋊C4C4×D71semidirect
433. C2×C42C4×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179858702
C2×C4×(C2×D71)⋊C42
C2×#95×D712
#225865732
#225865722
Dic71⋊#952
#225865672
(C2×D71)⋊#952
#95×Dic712
C2×C4×C4⋊C4×C712
#1381471