Finite Group Databasebeta

← C2×#22591192 #32156669

Subgroups — C2×#22591192 #32156669

Order 18176.

4990 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14556084C211yesmaximal, characteristic, complemented
2C23×(C2×D71)⋊C4C211yesmaximal, characteristic
3C22×C22⋊C4×D71C211yesmaximal, characteristic
4#22591192C2116yesmaximal, direct product factor
5C2×#17985891C212yesmaximal, complemented
6C2×#17985890C212yesmaximal, complemented
7C2×#17985873C212yesmaximal, complemented
8C2×#17985860C211yesmaximal, characteristic, complemented
9C2×#17985859C211yesmaximal, characteristic, complemented
10C2×#17985854C211yesmaximal, characteristic
11C2×C4×(C2×D71)⋊C4C212yesmaximal, complemented
12C2×C4×C22⋊C4×C71C211yesmaximal, characteristic, complemented
13C25×D71C2211yescharacteristic
14C24×Dic71C2211yescharacteristic
15C23×C4×D71C2212yes—
16C2×#14556084—28no—
17C2×#14556084C2218yescomplemented
18C22×C4⋊Dic71C2212yescomplemented
19C22×Dic71⋊C4C2212yescomplemented
20C22×C22⋊Dic71C2211yescharacteristic
21C22×C22⋊Dic71C2211yescharacteristic
22C22×(C2×D71)⋊C4C4116yescomplemented
23C22×(C2×D71)⋊C4C2212yes—
24C22×(C2×D71)⋊C4C2212yes—
25C22×(C2×D71)⋊C4C2212yes—
26C22×(C2×D71)⋊C4C2211yescharacteristic
27C22×(C2×D71)⋊C4C2211yescharacteristic
28C22×(C2×D71)⋊C4C2211yescharacteristic
29C22×(C2×D71)⋊C4C2211yescharacteristic
30C22×(C2×D71)⋊C4C2218yes—
31C2×C22⋊C4×D71—28no—
32C2×C22⋊C4×D71C2218yes—
33C22×C4×Dic71C2212yescomplemented
34#17985891C22116yescomplemented
35#17985890C22116yescomplemented
36#17985873C22116yescomplemented
37#17985860C2218yescomplemented
38#17985859C2218yescomplemented
39#17985854C2218yes—
40C4×(C2×D71)⋊C4C22116yescomplemented
41C2×C71⋊#95C2212yescomplemented
42C2×C71⋊#95C2212yescomplemented
43C2×C71⋊#95C2212yescomplemented
44C24×C4×C71C2211yescharacteristic
45C22×C22⋊C4×C71C2211yescharacteristic
46C22×C22⋊C4×C71C2211yescharacteristic
47C22×C42×C71C2212yescomplemented
48C4×C22⋊C4×C71C2218yescomplemented
49C2×#95×C71C2212yescomplemented
50C24×D71—28no—
51C24×D71—24no—
52C24×D71—24no—
53C24×D71—44no—
54C24×D71C2×C418yes—
55C24×D71C2311yescharacteristic
56C24×D71C2314yes—
57C24×D71C2311yescharacteristic
58C23×Dic71—24no—
59C23×Dic71—24no—
60C23×Dic71C2×C418yescomplemented
61C23×Dic71C2312yes—
62C23×Dic71C2312yes—
63C23×Dic71C2311yescharacteristic
64C23×Dic71C2311yescharacteristic
65C23×Dic71C2314yes—
66C22×C4×D71—28no—
67C22×C4×D71—28no—
68C22×C4×D71—44no—
69C22×C4×D71C2318yes—
70#14556084—232no—
71C2×C4⋊Dic71—44no—
72C2×C4⋊Dic71C2318yescomplemented
73C2×Dic71⋊C4—28no—
74C2×Dic71⋊C4C2318yescomplemented
75C2×C22⋊Dic71—24no—
76C2×C22⋊Dic71—24no—
77C2×C22⋊Dic71C2314yes—
78C2×C22⋊Dic71C2314yes—
79C2×(C2×D71)⋊C4—28no—
80C2×(C2×D71)⋊C4—28no—
81C2×(C2×D71)⋊C4—44no—
82C2×(C2×D71)⋊C4C2×C418yes—
83C2×(C2×D71)⋊C4C2×C418yes—
84C2×(C2×D71)⋊C4C2×C418yescomplemented
85C2×(C2×D71)⋊C4C2×C418yescomplemented
86C2×(C2×D71)⋊C4C2×C4164yescomplemented
87C2×(C2×D71)⋊C4C2318yes—
88C2×(C2×D71)⋊C4C2318yes—
89C2×(C2×D71)⋊C4C2318yes—
90C2×(C2×D71)⋊C4C2314yes—
91C2×(C2×D71)⋊C4C2314yes—
92C2×(C2×D71)⋊C4C2314yes—
93C2×(C2×D71)⋊C4C2314yes—
94C22⋊C4×D71—232no—
95C2×C4×Dic71—28no—
96C2×C4×Dic71C2318yescomplemented
97C71⋊#95C2318yescomplemented
98C71⋊#95C2318yescomplemented
99C71⋊#95C2318yescomplemented
100C25×C71C2311yescharacteristic
101C23×C4×C71—44no—
102C23×C4×C71C2×C418yescomplemented
103C23×C4×C71C2312yes—
104C23×C4×C71C2311yescharacteristic
105C23×C4×C71C2311yescharacteristic
106C23×C4×C71C2312yes—
107C23×C4×C71C2314yes—
108C2×C22⋊C4×C71—24no—
109C2×C22⋊C4×C71D418yes—
110C2×C22⋊C4×C71C2314yes—
111C2×C22⋊C4×C71C2314yes—
112C2×C42×C71—44no—
113C2×C42×C71C2318yescomplemented
114#95×C71C2318yescomplemented
115C23×D71—22no—
116C23×D71—22no—
117C23×D71—24no—
118C23×D71—232no—
119C23×D71—28no—
120C23×D71—22no—
121C23×D71—24no—
122C23×D71—28no—
123C23×D71—22no—
124C23×D71—24no—
125C23×D71—232no—
126C23×D71—216no—
127C23×D71—416no—
128C23×D71—48no—
129C23×D71—432no—
130C23×D71—432no—
131C23×D71C22×C414yes—
132C23×D71C22×C4116yes—
133C23×D71C22×C414yes—
134C23×D71#4118yes—
135C23×D71C2412yes—
136C23×D71C2412yes—
137C22×Dic71—232no—
138C22×Dic71—22no—
139C22×Dic71—22no—
140C22×Dic71—28no—
141C22×Dic71—22no—
142C22×Dic71—22no—
143C22×Dic71—28no—
144C22×Dic71—24no—
145C22×Dic71—24no—
146C22×Dic71—24no—
147C22×Dic71—24no—
148C22×Dic71—24no—
149C22×Dic71—24no—
150C22×Dic71C22×C414yes—
151C22×Dic71C22×C414yes—
152C22×Dic71C22×C4116yescomplemented
153C22×Dic71C2414yes—
154C22×Dic71C2414yes—
155C22×Dic71C2412yes—
156C22×Dic71C2412yes—
157C2×C4×D71—216no—
158C2×C4×D71—216no—
159C2×C4×D71—48no—
160C2×C4×D71—432no—
161C4⋊Dic71—48no—
162Dic71⋊C4—216no—
163C22⋊Dic71—28no—
164C22⋊Dic71—28no—
165(C2×D71)⋊C4—216no—
166(C2×D71)⋊C4—216no—
167(C2×D71)⋊C4—48no—
168(C2×D71)⋊C4C22×C4116yes—
169(C2×D71)⋊C4C22×C4116yes—
170(C2×D71)⋊C4C22×C4116yescomplemented
171(C2×D71)⋊C4C22×C4116yescomplemented
172C4×Dic71—216no—
173C24×C71—24no—
174C24×C71—24no—
175C24×C71C22×C414yes—
176C24×C71C2×D414yes—
177C24×C71#4114yes—
178C24×C71C2412yes—
179C24×C71C2411yescharacteristic
180C22×C4×C71—24no—
181C22×C4×C71—24no—
182C22×C4×C71—24no—
183C22×C4×C71—24no—
184C22×C4×C71—24no—
185C22×C4×C71—24no—
186C22×C4×C71—24no—
187C22×C4×C71—416no—
188C22×C4×C71—48no—
189C22×C4×C71C22×C414yes—
190C22×C4×C71C22×C414yes—
191C22×C4×C71C22×C4116yescomplemented
192C22×C4×C71C2×D418yes—
193C22×C4×C71C2414yes—
194C22×C4×C71C2412yes—
195C22×C4×C71C2412yes—
196C22×C4×C71C2414yes—
197C22⋊C4×C71—28no—
198C22⋊C4×C71C2×D4116yes—
199C42×C71—48no—
200C23×C71—28no—
201C23×C71—28no—
202C23×C71—216no—
203C23×C71—216no—
204C23×C71—24no—
205C23×C71—24no—
206C23×C71C4×D4116yes—
207C23×C71C23×C414yes—
208C23×C71C23×C412yes—
209C23×C71C22×D414yes—
210C23×C71C22×D412yes—
211C23×C71C2×#4114yes—
212C23×C71C2×#4114yes—
213C23×C71C2×#4112yes—
214C23×C71H(5,𝔽2)14yes—
215C23×C71C2511yescharacteristic
216C22×D71—28no—
217C22×D71—28no—
218C22×D71—216no—
219C22×D71—216no—
220C22×D71—22no—
221C22×D71—22no—
222C22×D71—24no—
223C22×D71—28no—
224C22×D71—232no—
225C22×D71—28no—
226C22×D71—28no—
227C22×D71—22no—
228C22×D71—24no—
229C22×D71—22no—
230C22×D71—24no—
231C22×D71—232no—
232C22×D71—416no—
233C22×D71—4128no—
234C22×D71—432no—
235C22×D71—432no—
236C22×D71—48no—
237C22×D71—48no—
238C22×D71#117116yescomplemented
239C22×D71C23×C414yes—
240C22×D71C23×C414yes—
241C22×D71C2×#4118yes—
242C2×C4×C71—28no—
243C2×C4×C71—28no—
244C2×C4×C71—216no—
245C2×C4×C71—24no—
246C2×C4×C71—24no—
247C2×C4×C71—24no—
248C2×C4×C71—24no—
249C2×C4×C71—24no—
250C2×C4×C71—24no—
251C2×C4×C71—24no—
252C2×C4×C71—416no—
253C2×C4×C71—48no—
254C2×C4×C71C23×C414yes—
255C2×C4×C71C23×C414yes—
256C2×C4×C71C22×D418yes—
257C2×Dic71—28no—
258C2×Dic71—28no—
259C2×Dic71—232no—
260C2×Dic71—22no—
261C2×Dic71—22no—
262C2×Dic71—22no—
263C2×Dic71—22no—
264C2×Dic71—24no—
265C2×Dic71—24no—
266C2×Dic71—24no—
267C2×Dic71—24no—
268C2×Dic71—24no—
269C2×Dic71—24no—
270C2×Dic71—48no—
271C2×Dic71—48no—
272C2×Dic71C23×C414yes—
273C2×Dic71C23×C414yes—
274C4×D71—432no—
275C22×C71—232no—
276C22×C71—24no—
277C22×C71—24no—
278C22×C71—28no—
279C22×C71—28no—
280C22×C71C2×#11714yes—
281C22×C71C2×C4×D418yes—
282C22×C71C2×C4×D414yes—
283C22×C71#51814yes—
284C22×C71#54618yes—
285C22×C71#55118yes—
286C22×C71C24×C411yescharacteristic
287C22×C71C23×D411yescharacteristic
288C22×C71C22×#4112yes—
289C22×C71C22×#4111yescharacteristic
290C22×C71C2×H(5,𝔽2)12yes—
291C2×D71—232no—
292C2×D71—24no—
293C2×D71—24no—
294C2×D71—28no—
295C2×D71—28no—
296C2×D71—24no—
297C2×D71—24no—
298C2×D71—24no—
299C2×D71—464no—
300C2×D71—416no—
301C2×D71—44no—
302C2×D71—44no—
303C2×D71C2×#11718yescomplemented
304C4×C71—24no—
305C4×C71—24no—
306C4×C71—28no—
307C4×C71—44no—
308Dic71—24no—
309Dic71—24no—
310Dic71—44no—
311Dic71—44no—
312C2×#2342—711nomaximal, Sylow
313C2×C71—28no—
314C2×C71#234218yescomplemented
315C2×C71C22×#11711yescharacteristic
316C2×C71C22×C4×D411yescharacteristic
317C2×C71C2×#51811yescharacteristic
318C2×C71C2×#54612yes—
319C2×C71C2×#55112yes—
320D71—28no—
321D71—44no—
322C22×#117—711no—
323C23×C22⋊C4—711no—
324C23×C22⋊C4—711no—
325#2342—7116no—
326C2×#388—712no—
327C2×#388—712no—
328C2×#385—712no—
329C2×#381—711no—
330C2×#380—711no—
331C2×#379—711no—
332C2×C4×C22⋊C4—712no—
333C2×C4×C22⋊C4D7111yescharacteristic, complemented
334C71C2×#234211yescharacteristic, complemented, Sylow
335C26—711no—
336C24×C4—712no—
337C24×C4—711no—
338C24×C4C2×D7111yescharacteristic
339C2×#117—718no—
340C2×#117—1428no—
341C22×C4⋊C4—712no—
342C22×C4⋊C4—712no—
343C22×C22⋊C4—712no—
344C22×C22⋊C4—7116no—
345C22×C22⋊C4—718no—
346C22×C22⋊C4—711no—
347C22×C22⋊C4—711no—
348C22×C22⋊C4—711no—
349C22×C22⋊C4—711no—
350C22×C22⋊C4—711no—
351C22×C22⋊C4—711no—
352C22×C22⋊C4—712no—
353C22×C22⋊C4—712no—
354C22×C22⋊C4—718no—
355C22×C22⋊C4—1428no—
356C22×C22⋊C4C2×D7111yescharacteristic
357C22×C22⋊C4C2×D7111yescharacteristic
358C22×C42—712no—
359C22×C42C2×D7112yescomplemented
360#388—7116no—
361#388—7116no—
362#385—7116no—
363#381—718no—
364#380—718no—
365#379—718no—
366C4×C22⋊C4—7116no—
367C4×C22⋊C4C2×D7118yescomplemented
368C2×#95—712no—
369C2×#95—712no—
370C2×#95—712no—
371C2×#95C2×D7112yescomplemented
372C25—2844no—
373C25—718no—
374C25—714no—
375C25—711no—
376C25—711no—
377C25—1428no—
378C25—1424no—
379C25—1424no—
380C25C22×D7111yescharacteristic
381C23×C4—44no—
382C23×C4—2844no—
383C23×C4—718no—
384C23×C4—718no—
385C23×C4—714no—
386C23×C4—711no—
387C23×C4—711no—
388C23×C4—712no—
389C23×C4—712no—
390C23×C4—1428no—
391C23×C4—1428no—
392C23×C4—1424no—
393C23×C4—1424no—
394C23×C4C4×D7118yescomplemented
395C23×C4C22×D7112yes—
396C23×C4C22×D7111yescharacteristic
397C23×C4C22×D7111yescharacteristic
398C23×C4C22×D7112yes—
399C23×C4C22×D7114yes—
400#117—14232no—
401C2×C4⋊C4—2844no—
402C2×C4⋊C4—718no—
403C2×C4⋊C4—718no—
404C2×C4⋊C4—1428no—
405C2×C22⋊C4—24no—
406C2×C22⋊C4—2844no—
407C2×C22⋊C4—718no—
408C2×C22⋊C4—718no—
409C2×C22⋊C4—718no—
410C2×C22⋊C4—718no—
411C2×C22⋊C4—718no—
412C2×C22⋊C4—7164no—
413C2×C22⋊C4—714no—
414C2×C22⋊C4—714no—
415C2×C22⋊C4—714no—
416C2×C22⋊C4—714no—
417C2×C22⋊C4—714no—
418C2×C22⋊C4—714no—
419C2×C22⋊C4—718no—
420C2×C22⋊C4—718no—
421C2×C22⋊C4—1428no—
422C2×C22⋊C4—1424no—
423C2×C22⋊C4—1424no—
424C2×C22⋊C4—1428no—
425C2×C22⋊C4—14232no—
426C2×C22⋊C4D28418yes—
427C2×C22⋊C4C22×D7114yes—
428C2×C22⋊C4C22×D7114yes—
429C2×C42—44no—
430C2×C42—718no—
431C2×C42—1428no—
432C2×C42C22×D7118yescomplemented
433#95—718no—
434#95—718no—
435#95—718no—
436#95C22×D7118yescomplemented
437C24—24no—
438C24—24no—
439C24—28432no—
440C24—28432no—
441C24—2848no—
442C24—28416no—
443C24—7116no—
444C24—714no—
445C24—718no—
446C24—712no—
447C24—714no—
448C24—712no—
449C24—14216no—
450C24—14232no—
451C24—1428no—
452C24—1422no—
453C24—1424no—
454C24—1428no—
455C24—1422no—
456C24—1424no—
457C24—14232no—
458C24—1422no—
459C24—1422no—
460C24—1424no—
461C24C2×C4×D7114yes—
462C24C2×D28414yes—
463C24#1176586514yes—
464C24C23×D7112yes—
465C24C23×D7111yescharacteristic
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—416no—
474C22×C4—48no—
475C22×C4—28432no—
476C22×C4—2848no—
477C22×C4—714no—
478C22×C4—714no—
479C22×C4—7116no—
480C22×C4—712no—
481C22×C4—712no—
482C22×C4—714no—
483C22×C4—714no—
484C22×C4—14216no—
485C22×C4—1424no—
486C22×C4—1424no—
487C22×C4—1424no—
488C22×C4—1424no—
489C22×C4—1424no—
490C22×C4—1424no—
491C22×C4—14216no—
492C22×C4—1422no—
493C22×C4—1422no—
494C22×C4—1428no—
495C22×C4—1428no—
496C22×C4—1422no—
497C22×C4—1422no—
498C22×C4—14232no—
499C22×C4C2×C4×D7114yes—
500C22×C4C2×C4×D7114yes—
501C22×C4C2×C4×D71116yescomplemented
502C22×C4C2×D28418yes—
503C22×C4C23×D7114yes—
504C22×C4C23×D7112yes—
505C22×C4C23×D7112yes—
506C22×C4C23×D7114yes—
507C4⋊C4—2848no—
508C4⋊C4—14216no—
509C22⋊C4—28no—
510C22⋊C4—2848no—
511C22⋊C4—7116no—
512C22⋊C4—7116no—
513C22⋊C4—7116no—
514C22⋊C4—7116no—
515C22⋊C4—14216no—
516C22⋊C4—1428no—
517C22⋊C4—1428no—
518C22⋊C4—14216no—
519C22⋊C4C2×D284116yes—
520C42—48no—
521C42—14216no—
522C23—24no—
523C23—24no—
524C23—216no—
525C23—216no—
526C23—28no—
527C23—28no—
528C23—28432no—
529C23—28432no—
530C23—284128no—
531C23—28416no—
532C23—2848no—
533C23—2848no—
534C23—714no—
535C23—718no—
536C23—7116no—
537C23—714no—
538C23—14232no—
539C23—1422no—
540C23—1424no—
541C23—1422no—
542C23—1424no—
543C23—1428no—
544C23—14232no—
545C23—1428no—
546C23—1428no—
547C23—1422no—
548C23—1422no—
549C23—1424no—
550C23—14216no—
551C23—14216no—
552C23—1428no—
553C23—1428no—
554C23C4×D284116yes—
555C23C22×C4×D7114yes—
556C23C22×C4×D7112yes—
557C23C22×D28414yes—
558C23C22×D28412yes—
559C23#41×D7114yes—
560C23C2×#1176586514yes—
561C23C2×#1176586512yes—
562C23#1455617314yes—
563C23C24×D7111yescharacteristic
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—24no—
568C2×C4—216no—
569C2×C4—28no—
570C2×C4—28no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—416no—
575C2×C4—48no—
576C2×C4—28432no—
577C2×C4—2848no—
578C2×C4—2848no—
579C2×C4—714no—
580C2×C4—714no—
581C2×C4—1424no—
582C2×C4—1424no—
583C2×C4—1424no—
584C2×C4—1424no—
585C2×C4—1424no—
586C2×C4—1424no—
587C2×C4—1422no—
588C2×C4—1422no—
589C2×C4—1422no—
590C2×C4—1422no—
591C2×C4—14232no—
592C2×C4—1428no—
593C2×C4—1428no—
594C2×C4C22×C4×D7114yes—
595C2×C4C22×C4×D7114yes—
596C2×C4C22×D28418yes—
597C22—24no—
598C22—24no—
599C22—28no—
600C22—28no—
601C22—232no—
602C22—28464no—
603C22—2844no—
604C22—2844no—
605C22—28416no—
606C22—718no—
607C22—1424no—
608C22—1424no—
609C22—1424no—
610C22—1424no—
611C22—1424no—
612C22—1428no—
613C22—1428no—
614C22—14232no—
615C22#117×D7114yes—
616C22C2×C4×D28418yes—
617C22C2×C4×D28414yes—
618C22#1798647214yes—
619C22#1798664418yes—
620C22#1798667818yes—
621C22C23×C4×D7111yescharacteristic
622C22C23×D28411yescharacteristic
623C22C2×#41×D7112yes—
624C22C22×#1176586511yescharacteristic
625C22C2×#1455617312yes—
626C4—24no—
627C4—24no—
628C4—28no—
629C4—44no—
630C4—2844no—
631C4—2844no—
632C4—1424no—
633C4—1424no—
634C2—28no—
635C2—2844no—
636C2—1428no—
637C2#2259119218yesdirect product factor
638C2C2×#117×D7111yescharacteristic
639C2C22×C4×D28411yescharacteristic
640C2C2×#1798647211yescharacteristic
641C2C2×#1798664412yes—
642C2C2×#1798667812yes—
subgroupG/H
centerC24C23×D71
commutatorC22×C71C24×C4
FrattiniC23C24×D71
FittingC2×C4×C22⋊C4×C71C2
socleC24×C71C24
prime radicalC25×D71C22
cosocleC23×C71C25
hypercenterC2×C4×C22⋊C4D71
hypocenterC71C2×#2342
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#14556084C2semidirect
4. #22591192C2direct (N × H)
5. C2×#17985891C2semidirect
6. C2×#17985890C2semidirect
7. C2×#17985873C2semidirect
8. C2×#17985860C2semidirect
9. C2×#17985859C2semidirect
11. C2×C4×(C2×D71)⋊C4C2semidirect
12. C2×C4×C22⋊C4×C71C2semidirect
17. C2×#14556084C22semidirect
18. C22×C4⋊Dic71C22semidirect
19. C22×Dic71⋊C4C22semidirect
22. C22×(C2×D71)⋊C4C4semidirect
33. C22×C4×Dic71C22semidirect
34. #17985891C22semidirect
35. #17985890C22semidirect
36. #17985873C22semidirect
37. #17985860C22semidirect
38. #17985859C22semidirect
40. C4×(C2×D71)⋊C4C22semidirect
41. C2×C71⋊#95C22semidirect
42. C2×C71⋊#95C22semidirect
43. C2×C71⋊#95C22semidirect
47. C22×C42×C71C22semidirect
48. C4×C22⋊C4×C71C22semidirect
49. C2×#95×C71C22semidirect
60. C23×Dic71C2×C4semidirect
72. C2×C4⋊Dic71C23semidirect
74. C2×Dic71⋊C4C23semidirect
84. C2×(C2×D71)⋊C4C2×C4semidirect
85. C2×(C2×D71)⋊C4C2×C4semidirect
86. C2×(C2×D71)⋊C4C2×C4semidirect
96. C2×C4×Dic71C23semidirect
97. C71⋊#95C23semidirect
98. C71⋊#95C23semidirect
99. C71⋊#95C23semidirect
102. C23×C4×C71C2×C4semidirect
113. C2×C42×C71C23semidirect
114. #95×C71C23semidirect
152. C22×Dic71C22×C4semidirect
170. (C2×D71)⋊C4C22×C4semidirect
171. (C2×D71)⋊C4C22×C4semidirect
191. C22×C4×C71C22×C4semidirect
238. C22×D71#117semidirect
303. C2×D71C2×#117semidirect
314. C2×C71#2342semidirect
333. C2×C4×C22⋊C4D71semidirect
334. C71C2×#2342semidirect
359. C22×C42C2×D71semidirect
367. C4×C22⋊C4C2×D71semidirect
371. C2×#95C2×D71semidirect
394. C23×C4C4×D71semidirect
432. C2×C42C22×D71semidirect
436. #95C22×D71semidirect
501. C22×C4C2×C4×D71semidirect
637. C2#22591192direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145560842
C23×(C2×D71)⋊C42
C22×C22⋊C4×D712
#225911922
C2×#179858912
C2×#179858902
C2×#179858732
C2×#179858602
C2×#179858592
C2×#179858542
C2×C4×(C2×D71)⋊C42
C2×C4×C22⋊C4×C712
C2×#234271