Finite Group Databasebeta

← #31918956

Subgroups — #31918956

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×#17985872C212yesmaximal
2C2×#17985850C211yesmaximal, characteristic, complemented
3C2×C4×C22⋊Dic71C212yesmaximal
4C2×C4×C22⋊Dic71C211yesmaximal, characteristic
5#22586575C212yesmaximal, complemented
6#22586571C212yesmaximal, complemented
7Dic71⋊#95C211yesmaximal, characteristic, complemented
8#22586564C211yesmaximal, characteristic, complemented
9#22586563C211yesmaximal, characteristic
10#95×Dic71C211yesmaximal, characteristic, complemented
11C22×#95×C71C211yesmaximal, characteristic
12C22×Dic71⋊C4C2212yes—
13C22×Dic71⋊C4C2212yes—
14C22×C22⋊Dic71C2212yes—
15C22×C22⋊Dic71C2211yescharacteristic
16C22×C22⋊Dic71C2211yescharacteristic
17C22×C4×Dic71C2212yes—
18C22×C4×Dic71C2212yes—
19C22×C4×Dic71C2211yescharacteristic
20C22×C4×Dic71C2211yescharacteristic
21#17985872C4116yescomplemented
22#17985850—24no—
23C4×C22⋊Dic71—28no—
24C4×C22⋊Dic71C418yescomplemented
25C2×C71⋊#95C2211yescharacteristic
26C2×C71⋊#95C2211yescharacteristic
27C2×C71⋊#95C2212yes—
28C2×C71⋊#95C2212yes—
29C2×C71⋊#95C2212yes—
30C2×C71⋊#95C2212yes—
31C2×C71⋊#95C2212yes—
32C2×C71⋊#95C2211yescharacteristic
33C2×C71⋊#95C2211yescharacteristic
34C24×C4×C71C2212yes—
35C24×C4×C71C2211yescharacteristic
36C2×#95×C71—24no—
37C2×#95×C71C2211yescharacteristic
38C2×#95×C71C2212yes—
39C2×#95×C71C2211yescharacteristic
40C23×Dic71C2312yes—
41C23×Dic71C2312yes—
42C23×Dic71C2311yescharacteristic
43C23×Dic71C2311yescharacteristic
44C23×Dic71C2311yescharacteristic
45C23×Dic71C2311yescharacteristic
46C2×Dic71⋊C4—24no—
47C2×Dic71⋊C4—24no—
48C2×Dic71⋊C4—42no—
49C2×Dic71⋊C4—42no—
50C2×Dic71⋊C4C2×C418yescomplemented
51C2×Dic71⋊C4C2×C418yescomplemented
52C2×C22⋊Dic71—24no—
53C2×C22⋊Dic71—24no—
54C2×C22⋊Dic71C2×C418yes—
55C2×C22⋊Dic71C2×C414yes—
56C2×C22⋊Dic71C2×C418yes—
57C2×C22⋊Dic71C2×C414yes—
58C2×C22⋊Dic71D414yes—
59C2×C22⋊Dic71Q814yes—
60C2×C4×Dic71—24no—
61C2×C4×Dic71—24no—
62C2×C4×Dic71—22no—
63C2×C4×Dic71—24no—
64C2×C4×Dic71—22no—
65C2×C4×Dic71—24no—
66C2×C4×Dic71—42no—
67C2×C4×Dic71—42no—
68C2×C4×Dic71—42no—
69C2×C4×Dic71C2×C414yescomplemented
70C2×C4×Dic71C2×C414yescomplemented
71C71⋊#95—24no—
72C71⋊#95—24no—
73C71⋊#95—22no—
74C71⋊#95—22no—
75C71⋊#95—42no—
76C71⋊#95C2×C414yescomplemented
77C71⋊#95C2×C414yescomplemented
78C71⋊#95C2×C418yescomplemented
79C71⋊#95C2×C418yescomplemented
80C25×C71C2311yescharacteristic
81C23×C4×C71—24no—
82C23×C4×C71—24no—
83C23×C4×C71—24no—
84C23×C4×C71—22no—
85C23×C4×C71—24no—
86C23×C4×C71—22no—
87C23×C4×C71—24no—
88C23×C4×C71—42no—
89C23×C4×C71—42no—
90C23×C4×C71—42no—
91C23×C4×C71C2×C414yes—
92C23×C4×C71C2×C418yes—
93C23×C4×C71C2311yescharacteristic
94C23×C4×C71C2312yes—
95C23×C4×C71C2311yescharacteristic
96C23×C4×C71C2312yes—
97#95×C71—22no—
98#95×C71—24no—
99#95×C71D414yes—
100C22×Dic71—21no—
101C22×Dic71—21no—
102C22×Dic71—21no—
103C22×Dic71—21no—
104C22×Dic71—22no—
105C22×Dic71—22no—
106C22×Dic71—22no—
107C22×Dic71—21no—
108C22×Dic71—22no—
109C22×Dic71—21no—
110C22×Dic71—21no—
111C22×Dic71—21no—
112C22×Dic71—22no—
113C22×Dic71—22no—
114C22×Dic71—22no—
115C22×Dic71—22no—
116C22×Dic71—22no—
117C22×Dic71—22no—
118C22×Dic71—22no—
119C22×Dic71—22no—
120C22×Dic71—22no—
121C22×Dic71—22no—
122C22×Dic71—22no—
123C22×Dic71—22no—
124C22×Dic71C22×C414yes—
125C22×Dic71C22×C414yes—
126C22×Dic71C22×C412yes—
127C22×Dic71C22×C412yes—
128C22×Dic71C22×C414yes—
129C22×Dic71C22×C414yes—
130C22×Dic71C22×C412yes—
131C22×Dic71C22×C412yes—
132C22×Dic71C2×D412yes—
133C22×Dic71C2×D412yes—
134C22×Dic71C2×Q812yes—
135C22×Dic71C2×Q812yes—
136Dic71⋊C4—216no—
137Dic71⋊C4—48no—
138C22⋊Dic71—216no—
139C22⋊Dic71C42116yescomplemented
140C22⋊Dic71C4⋊C4116yescomplemented
141C4×Dic71—28no—
142C4×Dic71—44no—
143C4×Dic71—48no—
144C4×Dic71—48no—
145C24×C71—21no—
146C24×C71—22no—
147C24×C71—21no—
148C24×C71—21no—
149C24×C71—22no—
150C24×C71—21no—
151C24×C71C22×C412yes—
152C24×C71C22×C414yes—
153C24×C71C2×D412yes—
154C24×C71C2×Q812yes—
155C24×C71#4114yes—
156C24×C71C2411yescharacteristic
157C22×C4×C71—22no—
158C22×C4×C71—22no—
159C22×C4×C71—22no—
160C22×C4×C71—22no—
161C22×C4×C71—22no—
162C22×C4×C71—22no—
163C22×C4×C71—28no—
164C22×C4×C71—216no—
165C22×C4×C71—22no—
166C22×C4×C71—21no—
167C22×C4×C71—22no—
168C22×C4×C71—22no—
169C22×C4×C71—22no—
170C22×C4×C71—22no—
171C22×C4×C71—21no—
172C22×C4×C71—22no—
173C22×C4×C71—22no—
174C22×C4×C71—22no—
175C22×C4×C71—28no—
176C22×C4×C71—216no—
177C22×C4×C71—48no—
178C22×C4×C71—44no—
179C22×C4×C71—48no—
180C22×C4×C71—48no—
181C22×C4×C71—48no—
182C22×C4×C71—48no—
183C22×C4×C71—48no—
184C22×C4×C71—48no—
185C22×C4×C71C22×C412yes—
186C22×C4×C71C22×C414yes—
187C22×C4×C71C22×C414yes—
188C22×C4×C71C22×C412yes—
189C22×C4×C71C2×D412yes—
190C22×C4×C71C2×D414yes—
191C22×C4×C71#4112yes—
192C22×C4×C71#4114yes—
193C23×C71—22no—
194C23×C71—24no—
195C23×C71—22no—
196C23×C71—24no—
197C23×C71—22no—
198C23×C71—24no—
199C23×C71—22no—
200C23×C71—24no—
201C23×C71—22no—
202C23×C71—24no—
203C23×C71—24no—
204C23×C71—22no—
205C23×C71—22no—
206C23×C71—24no—
207C23×C71—24no—
208C23×C71—24no—
209C23×C71—22no—
210C23×C71—24no—
211C23×C71C2×C4214yes—
212C23×C71C2×C4⋊C414yes—
213C23×C71#11714yes—
214C23×C71C4×D418yes—
215C23×C71C4×Q818yes—
216C23×C71C23×C411yescharacteristic
217C23×C71C23×C412yes—
218C23×C71C22×D411yescharacteristic
219C23×C71C22×D411yescharacteristic
220C23×C71C22×Q811yescharacteristic
221C23×C71C2×#4112yes—
222C23×C71C2×#4112yes—
223C23×C71C2×#4111yescharacteristic
224C23×C71H(5,𝔽2)11yescharacteristic
225C23×C71H(5,𝔽2)12yes—
226C23×C712−1+411yescharacteristic
227C2×C4×C71—22no—
228C2×C4×C71—24no—
229C2×C4×C71—24no—
230C2×C4×C71—22no—
231C2×C4×C71—24no—
232C2×C4×C71—24no—
233C2×C4×C71—24no—
234C2×C4×C71—24no—
235C2×C4×C71—24no—
236C2×C4×C71—24no—
237C2×C4×C71—22no—
238C2×C4×C71—24no—
239C2×C4×C71—22no—
240C2×C4×C71—24no—
241C2×C4×C71—22no—
242C2×C4×C71—24no—
243C2×C4×C71—416no—
244C2×C4×C71—432no—
245C2×C4×C71—42no—
246C2×C4×C71—42no—
247C2×C4×C71—42no—
248C2×C4×C71—42no—
249C2×C4×C71—42no—
250C2×C4×C71—42no—
251C2×C4×C71C4×D414yes—
252C2×C4×C71C4×D418yes—
253C2×Dic71—22no—
254C2×Dic71—22no—
255C2×Dic71—24no—
256C2×Dic71—22no—
257C2×Dic71—22no—
258C2×Dic71—24no—
259C2×Dic71—22no—
260C2×Dic71—22no—
261C2×Dic71—24no—
262C2×Dic71—22no—
263C2×Dic71—22no—
264C2×Dic71—24no—
265C2×Dic71—22no—
266C2×Dic71—24no—
267C2×Dic71—22no—
268C2×Dic71—22no—
269C2×Dic71—22no—
270C2×Dic71—24no—
271C2×Dic71—24no—
272C2×Dic71—24no—
273C2×Dic71—24no—
274C2×Dic71—24no—
275C2×Dic71—24no—
276C2×Dic71—24no—
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×C4214yes—
287C2×Dic71C2×C4⋊C414yes—
288C2×Dic71C2×C4⋊C414yes—
289C22×C71—24no—
290C22×C71—24no—
291C22×C71—24no—
292C22×C71—24no—
293C22×C71—28no—
294C22×C71—28no—
295C22×C71—28no—
296C22×C71—28no—
297C22×C71—24no—
298C22×C71—24no—
299C22×C71C4×C4⋊C418yescomplemented
300C22×C71C22×C4211yescharacteristic
301C22×C71C22×C4⋊C411yescharacteristic
302C22×C71C2×#11711yescharacteristic
303C22×C71C2×C4×D412yes—
304C22×C71C2×C4×D411yescharacteristic
305C22×C71C2×C4×D412yes—
306C22×C71C2×C4×Q812yes—
307C22×C71C4×#4111yescharacteristic
308C22×C71C4×#4112yes—
309C22×C71#51811yescharacteristic
310C22×C71#51812yes—
311C22×C71#52011yescharacteristic
312C22×C71#52012yes—
313C22×C71D4211yescharacteristic
314C22×C71#54612yes—
315C22×C71#54612yes—
316C22×C71#54711yescharacteristic
317C22×C71D4×Q811yescharacteristic
318C22×C71#55112yes—
319C22×C71#55112yes—
320C22×C71#55212yes—
321C22×C71#55411yescharacteristic
322C22×C71#55412yes—
323C4×C71—24no—
324C4×C71—28no—
325C4×C71—42no—
326C4×C71—44no—
327Dic71—24no—
328Dic71—24no—
329Dic71—24no—
330Dic71—24no—
331Dic71—44no—
332Dic71—44no—
333#13814—711nomaximal, Sylow
334C2×C71—28no—
335C2×C71C2×C4×C4⋊C411yescharacteristic
336C2×C71C42×D411yescharacteristic
337C2×C71#227511yescharacteristic
338C2×C71#234211yescharacteristic
339C2×C71#234311yescharacteristic
340C2×C71D4×C4⋊C411yescharacteristic
341C2×C71#234911yescharacteristic
342C2×C71#235812yes—
343C2×C71#235912yes—
344C2×C71#236012yes—
345C2×C71#236812yes—
346C2×#385—712no—
347C2×C4×C4⋊C4—711no—
348C2×C4×C22⋊C4—711no—
349C2×C4×C22⋊C4—712no—
350C22×#95D7111yescharacteristic
351#1436—712no—
352#1436—712no—
353C4⋊#95—711no—
354#1434—711no—
355C22⋊#95—711no—
356C4×#95—711no—
357C71#1381411yescharacteristic, complemented, Sylow
358C24×C4C2×D7111yescharacteristic
359C24×C4C2×D7112yes—
360C22×C4⋊C4—712no—
361C22×C4⋊C4—712no—
362C22×C22⋊C4—711no—
363C22×C22⋊C4—711no—
364C22×C22⋊C4—712no—
365C22×C42—711no—
366C22×C42—712no—
367C22×C42—712no—
368C22×C42—711no—
369#385—7116no—
370C4×C4⋊C4—1424no—
371C4×C22⋊C4—718no—
372C4×C22⋊C4—1428no—
373C2×#95—24no—
374C2×#95—712no—
375C2×#95—712no—
376C2×#95—712no—
377C2×#95—711no—
378C2×#95—711no—
379C2×#95—711no—
380C2×#95—711no—
381C2×#95—712no—
382C2×#95—712no—
383C2×#95C2×D7111yescharacteristic
384C2×#95C2×D7112yes—
385C2×#95C2×D7111yescharacteristic
386C25C22×D7111yescharacteristic
387C23×C4—24no—
388C23×C4—24no—
389C23×C4—24no—
390C23×C4—22no—
391C23×C4—24no—
392C23×C4—22no—
393C23×C4—24no—
394C23×C4—42no—
395C23×C4—42no—
396C23×C4—42no—
397C23×C4—711no—
398C23×C4—711no—
399C23×C4—711no—
400C23×C4—711no—
401C23×C4—712no—
402C23×C4—712no—
403C23×C4C4×D7114yes—
404C23×C4C4×D7118yes—
405C23×C4C22×D7112yes—
406C23×C4C22×D7111yescharacteristic
407C23×C4C22×D7112yes—
408C23×C4C22×D7111yescharacteristic
409C2×C4⋊C4—2842no—
410C2×C4⋊C4—2842no—
411C2×C4⋊C4—718no—
412C2×C4⋊C4—718no—
413C2×C4⋊C4—1424no—
414C2×C4⋊C4—1424no—
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—2842no—
424C2×C42—2842no—
425C2×C42—2842no—
426C2×C42—714no—
427C2×C42—714no—
428C2×C42—1424no—
429C2×C42—1424no—
430C2×C42—1424no—
431C2×C42—1424no—
432C2×C42—1422no—
433C2×C42—1422no—
434#95—22no—
435#95—24no—
436#95—2842no—
437#95—714no—
438#95—714no—
439#95—718no—
440#95—718no—
441#95—1424no—
442#95—1424no—
443#95—1422no—
444#95—1422no—
445#95C22⋊D7114yes—
446C24—21no—
447C24—22no—
448C24—21no—
449C24—21no—
450C24—22no—
451C24—21no—
452C24C2×C4×D7112yes—
453C24C2×C4×D7114yes—
454C24D4×D7112yes—
455C24Q8×D7112yes—
456C24#1176586414yes—
457C24C23×D7111yescharacteristic
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
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—28no—
475C22×C4—216no—
476C22×C4—28no—
477C22×C4—216no—
478C22×C4—44no—
479C22×C4—48no—
480C22×C4—48no—
481C22×C4—48no—
482C22×C4—48no—
483C22×C4—48no—
484C22×C4—48no—
485C22×C4—48no—
486C22×C4—712no—
487C22×C4—712no—
488C22×C4—712no—
489C22×C4—712no—
490C22×C4—714no—
491C22×C4—714no—
492C22×C4—712no—
493C22×C4—712no—
494C22×C4—712no—
495C22×C4—712no—
496C22×C4—714no—
497C22×C4—714no—
498C22×C4—1422no—
499C22×C4—1422no—
500C22×C4—1422no—
501C22×C4—1422no—
502C22×C4—1422no—
503C22×C4—1422no—
504C22×C4—1422no—
505C22×C4—1422no—
506C22×C4—1422no—
507C22×C4—1422no—
508C22×C4—1422no—
509C22×C4—1422no—
510C22×C4—1421no—
511C22×C4—1421no—
512C22×C4—1422no—
513C22×C4—1421no—
514C22×C4—1421no—
515C22×C4—1422no—
516C22×C4—1421no—
517C22×C4—1422no—
518C22×C4—1422no—
519C22×C4—1421no—
520C22×C4—1421no—
521C22×C4—1421no—
522C22×C4C2×C4×D7112yes—
523C22×C4C2×C4×D7114yes—
524C22×C4C2×C4×D7114yes—
525C22×C4C2×C4×D7112yes—
526C22×C4C2×C22⋊D7112yes—
527C22×C4C2×C22⋊D7114yes—
528C22×C4#1176586512yes—
529C22×C4#1176586514yes—
530C4⋊C4—2848no—
531C4⋊C4—14216no—
532C22⋊C4—7116no—
533C22⋊C4—7116no—
534C22⋊C4—14216no—
535C42—2848no—
536C42—2848no—
537C42—2844no—
538C42—1428no—
539C23—22no—
540C23—24no—
541C23—24no—
542C23—22no—
543C23—22no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—22no—
548C23—24no—
549C23—22no—
550C23—24no—
551C23—22no—
552C23—24no—
553C23—22no—
554C23—24no—
555C23—22no—
556C23—24no—
557C23C42×D7114yes—
558C23C4⋊C4×D7114yes—
559C23#1455608414yes—
560C23(C22⋊D71)⋊C418yes—
561C23#1455609318yes—
562C23C22×C4×D7111yescharacteristic
563C23C22×C4×D7112yes—
564C23C2×D4×D7111yescharacteristic
565C23C22×C22⋊D7111yescharacteristic
566C23C2×Q8×D7111yescharacteristic
567C23C2×#1176586412yes—
568C23C2×#1176586512yes—
569C23C2×#1176586511yescharacteristic
570C23#1455617311yescharacteristic
571C23#1455617312yes—
572C23#1455617611yescharacteristic
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—22no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—22no—
587C2×C4—24no—
588C2×C4—22no—
589C2×C4—432no—
590C2×C4—416no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—2842no—
598C2×C4—2842no—
599C2×C4—2842no—
600C2×C4—2842no—
601C2×C4—2842no—
602C2×C4—2842no—
603C2×C4—2842no—
604C2×C4—2842no—
605C2×C4—714no—
606C2×C4—714no—
607C2×C4—714no—
608C2×C4—714no—
609C2×C4—1424no—
610C2×C4—1424no—
611C2×C4—1424no—
612C2×C4—1424no—
613C2×C4—1424no—
614C2×C4—1424no—
615C2×C4—1422no—
616C2×C4—1424no—
617C2×C4—1422no—
618C2×C4—1422no—
619C2×C4—1422no—
620C2×C4—1424no—
621C2×C4—1422no—
622C2×C4—1422no—
623C2×C4—1424no—
624C2×C4—1422no—
625C2×C4—1422no—
626C2×C4—1424no—
627C2×C4—1422no—
628C2×C4—1422no—
629C2×C4—1424no—
630C2×C4—1422no—
631C2×C4—1422no—
632C2×C4—1424no—
633C2×C4C4×C22⋊D7114yes—
634C2×C4C4×C22⋊D7118yes—
635C22—24no—
636C22—24no—
637C22—28no—
638C22—28no—
639C22—28no—
640C22—28no—
641C22—24no—
642C22—24no—
643C22—24no—
644C22—24no—
645C22#1798585018yescomplemented
646C22C2×C42×D7111yescharacteristic
647C22C2×C4⋊C4×D7111yescharacteristic
648C22C2×#1455608411yescharacteristic
649C22C2×(C22⋊D71)⋊C412yes—
650C22C2×C4×C22⋊D7111yescharacteristic
651C22C2×C4×C22⋊D7112yes—
652C22C2×#1455609312yes—
653C22C4×#1176586511yescharacteristic
654C22C4×#1176586512yes—
655C22#1798647211yescharacteristic
656C22#1798647212yes—
657C22#1798648011yescharacteristic
658C22#1798648012yes—
659C22D4×C22⋊D7111yescharacteristic
660C22#1798663912yes—
661C22#1798664312yes—
662C22#1798665011yescharacteristic
663C22Q8×C22⋊D7111yescharacteristic
664C22#1798667512yes—
665C22#1798667512yes—
666C22#1798668412yes—
667C22#1798670411yescharacteristic
668C22#1798670412yes—
669C4—28no—
670C4—24no—
671C4—44no—
672C4—42no—
673C4—2844no—
674C4—2844no—
675C4—1424no—
676C4—1424no—
677C4—1424no—
678C4—1424no—
679C2—28no—
680C2C2×#1798585011yescharacteristic
681C2C42×C22⋊D7111yescharacteristic
682C2#2259069811yescharacteristic
683C2#2259118511yescharacteristic
684C2#2259119611yescharacteristic
685C2C4⋊C4×C22⋊D7111yescharacteristic
686C2#2259124711yescharacteristic
687C2#2259131912yes—
688C2#2259132812yes—
689C2#2259134512yes—
690C2#2259142012yes—
subgroupG/H
center, FrattiniC24C23×D71
commutatorC22×C71C22×C42
FittingC22×#95×C71C2
socle, cosocleC24×C71C24
prime radicalC25×C71C23
hypercenterC22×#95D71
hypocenterC71#13814
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C24 ◁ C22×#95

Complements

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

NH ≅ G/Ntype
2. C2×#17985850C2semidirect
5. #22586575C2semidirect
6. #22586571C2semidirect
7. Dic71⋊#95C2semidirect
8. #22586564C2semidirect
10. #95×Dic71C2semidirect
21. #17985872C4semidirect
24. C4×C22⋊Dic71C4semidirect
50. C2×Dic71⋊C4C2×C4semidirect
51. C2×Dic71⋊C4C2×C4semidirect
69. C2×C4×Dic71C2×C4semidirect
70. C2×C4×Dic71C2×C4semidirect
76. C71⋊#95C2×C4semidirect
77. C71⋊#95C2×C4semidirect
78. C71⋊#95C2×C4semidirect
79. C71⋊#95C2×C4semidirect
139. C22⋊Dic71C42semidirect
140. C22⋊Dic71C4⋊C4semidirect
299. C22×C71C4×C4⋊C4semidirect
357. C71#13814semidirect
645. C22#17985850semidirect

Maximal subgroups

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

subgroupindex
C2×#179858722
C2×#179858502
C2×C4×C22⋊Dic712
#225865752
#225865712
Dic71⋊#952
#225865642
#225865632
#95×Dic712
C22×#95×C712
#1381471