Finite Group Databasebeta

← #32160432

Subgroups — #32160432

Order 18176.

2506 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14556106C211yesmaximal, characteristic
2#22591505C214yesmaximal, complemented
3#22591348C214yesmaximal, complemented
4#22591204C212yesmaximal, complemented
5#22591192C212yesmaximal
6#22591182C212yesmaximal
7C22⋊C4×Dic142C212yesmaximal, complemented
8#22591067C214yesmaximal, complemented
9#22591021C214yesmaximal, complemented
10#22590958C211yesmaximal, characteristic, complemented
11#22590957C211yesmaximal, characteristic, complemented
12#22590942C211yesmaximal, characteristic, complemented
13#22590722C211yesmaximal, characteristic
14#380×D71C211yesmaximal, characteristic
15C71×#2313C211yesmaximal, characteristic, complemented
16C23×Dic142C2211yescharacteristic
17C23×C4×D71C2211yescharacteristic
18C2×#14556106C4116yescomplemented
19C2×#14556106C2212yes—
20C2×#14556106C2212yes—
21C2×#14556106C2212yes—
22C2×#14556106C2212yes—
23C2×C4×Dic142C2214yescomplemented
24C2×#14556087C2212yes—
25C2×#14556086C2212yes—
26C2×#14556084C2212yes—
27C22×Dic71⋊C4C2211yescharacteristic
28C22×Dic71⋊C4C2211yescharacteristic
29C2×C4⋊C4×D71C2212yes—
30C22×(C2×D71)⋊C4C2211yescharacteristic
31C22×(C2×D71)⋊C4C2211yescharacteristic
32C2×C22⋊C4×D71C2212yes—
33#17985905C2214yescomplemented
34#17985903C2214yescomplemented
35#17985903C2214yescomplemented
36#17985898C2214yescomplemented
37#17985898C2214yescomplemented
38#17985896C2214yescomplemented
39#17985896C2214yescomplemented
40#17985894C2214yescomplemented
41#17985891C2214yes—
42#17985891C2214yes—
43#17985890C2214yes—
44#17985888C2214yes—
45#17985886C2214yescomplemented
46#17985886C2214yescomplemented
47#17985881C2214yescomplemented
48#17985880C2214yescomplemented
49#17985873C2214yes—
50#17985873C2214yes—
51#17985861C2212yes—
52#17985860C2212yes—
53#17985859C2211yescharacteristic
54#17985859C2212yes—
55#17985859C2211yescharacteristic
56#17985858C2212yes—
57#17985857C2212yes—
58#17985857C2212yes—
59#17985856C2212yes—
60#17985856C2212yes—
61#17985854C2212yes—
62#17985850C2214yescomplemented
63C22⋊C4×Dic71C2212yes—
64C22⋊C4×Dic71C2212yes—
65C4×(C2×D71)⋊C4C2214yes—
66#17985846C2212yes—
67#17985846C2214yes—
68#95×D71C2212yes—
69C22×C4⋊C4×C71C2211yescharacteristic
70#387×C71C2214yescomplemented
71#387×C71C2214yescomplemented
72#381×C71C2212yes—
73#380×C71C2211yescharacteristic
74#380×C71C2211yescharacteristic
75C4×C22⋊C4×C71C2212yes—
76C24×D71C2311yescharacteristic
77C22×Dic142—44no—
78C22×Dic142C2×C418yescomplemented
79C22×Dic142C2312yes—
80C22×Dic142C2312yes—
81C23×Dic71C2311yescharacteristic
82C23×Dic71C2311yescharacteristic
83C23×Dic71C2311yescharacteristic
84C22×C4×D71—44no—
85C22×C4×D71C2×C418yes—
86C22×C4×D71C2311yescharacteristic
87C22×C4×D71C2311yescharacteristic
88C22×C4×D71C2314yes—
89C22×C4×D71C2311yescharacteristic
90C22×C4×D71C2311yescharacteristic
91#14556106C2×C4116yes—
92#14556106C2×C4116yes—
93#14556106C2×C4116yescomplemented
94#14556106C2×C4116yescomplemented
95C4×Dic142—48no—
96#14556087—44no—
97#14556086—44no—
98#14556084—44no—
99C2×C4⋊Dic71C2312yes—
100C2×C4⋊Dic71C2312yes—
101C2×C4⋊Dic71C2314yes—
102C2×C4⋊Dic71C2314yes—
103C2×Dic71⋊C4C2×C418yescomplemented
104C2×Dic71⋊C4C2×C418yescomplemented
105C2×Dic71⋊C4C2314yes—
106C2×Dic71⋊C4C2314yes—
107C2×Dic71⋊C4C2314yes—
108C2×Dic71⋊C4C2312yes—
109C2×Dic71⋊C4C2312yes—
110C2×Dic71⋊C4C2312yes—
111C2×Dic71⋊C4C2312yes—
112C4⋊C4×D71—44no—
113C2×C22⋊Dic71C2312yes—
114C2×C22⋊Dic71C2312yes—
115C2×(C2×D71)⋊C4C2×C418yes—
116C2×(C2×D71)⋊C4C2×C418yes—
117C2×(C2×D71)⋊C4C2314yes—
118C2×(C2×D71)⋊C4C2314yes—
119C2×(C2×D71)⋊C4C2314yes—
120C2×(C2×D71)⋊C4C2312yes—
121C2×(C2×D71)⋊C4C2312yes—
122C2×(C2×D71)⋊C4C2312yes—
123C2×(C2×D71)⋊C4C2312yes—
124C22⋊C4×D71—44no—
125C2×C4×Dic71C2314yes—
126C2×C4×Dic71C2314yes—
127C2×C4×Dic71C2314yes—
128C2×C4×Dic71C2314yes—
129C71⋊#95C2314yes—
130C71⋊#95C2312yes—
131C71⋊#95C2314yes—
132C71⋊#95C2312yes—
133C71⋊#95C2314yes—
134C71⋊#95C2314yes—
135C71⋊#95C2314yes—
136C71⋊#95C2314yes—
137C71⋊#95C2314yes—
138C23×C4×C71C2311yescharacteristic
139C23×C4×C71C2311yescharacteristic
140C23×C4×C71C2311yescharacteristic
141C2×C4⋊C4×C71C2×C418yescomplemented
142C2×C4⋊C4×C71C2312yes—
143C2×C4⋊C4×C71C2312yes—
144C2×C4⋊C4×C71C2312yes—
145C2×C4⋊C4×C71C2312yes—
146C2×C22⋊C4×C71C2312yes—
147C2×C22⋊C4×C71C2312yes—
148C2×C42×C71C2314yes—
149#95×C71C2312yes—
150#95×C71C2312yes—
151#95×C71C2314yes—
152#95×C71C2314yes—
153#95×C71C2314yes—
154C23×D71—22no—
155C23×D71—22no—
156C23×D71—24no—
157C23×D71—42no—
158C23×D71C22×C414yes—
159C23×D71C2411yescharacteristic
160C23×D71C2411yescharacteristic
161C2×Dic142—28no—
162C2×Dic142—416no—
163C2×Dic142—44no—
164C2×Dic142C22×C418yes—
165C2×Dic142C22×C418yes—
166C22×Dic71—22no—
167C22×Dic71—22no—
168C22×Dic71—24no—
169C22×Dic71—42no—
170C22×Dic71C22×C414yes—
171C22×Dic71C22×C414yes—
172C22×Dic71C22×C414yes—
173C22×Dic71C2414yes—
174C22×Dic71C2414yes—
175C22×Dic71C2411yescharacteristic
176C22×Dic71C2412yes—
177C22×Dic71C2412yes—
178C22×Dic71C2411yescharacteristic
179C2×C4×D71—24no—
180C2×C4×D71—24no—
181C2×C4×D71—28no—
182C2×C4×D71—416no—
183C2×C4×D71—42no—
184C2×C4×D71—42no—
185C2×C4×D71—44no—
186C2×C4×D71—44no—
187C2×C4×D71C22×C414yes—
188C2×C4×D71C22×C414yes—
189C2×C4×D71C22×C414yes—
190C2×C4×D71C22×C414yes—
191C4⋊Dic71—42no—
192C4⋊Dic71—42no—
193C4⋊Dic71—44no—
194C4⋊Dic71—44no—
195Dic71⋊C4—28no—
196Dic71⋊C4—44no—
197Dic71⋊C4—44no—
198Dic71⋊C4C22×C418yes—
199Dic71⋊C4C22×C418yes—
200Dic71⋊C4C22×C418yes—
201Dic71⋊C4C22×C418yes—
202C22⋊Dic71—24no—
203C22⋊Dic71—24no—
204(C2×D71)⋊C4—28no—
205(C2×D71)⋊C4—44no—
206(C2×D71)⋊C4—44no—
207(C2×D71)⋊C4C22×C418yes—
208(C2×D71)⋊C4C22×C418yes—
209(C2×D71)⋊C4C22×C418yes—
210(C2×D71)⋊C4C22×C418yes—
211C4×Dic71—28no—
212C4×Dic71—44no—
213C4×Dic71—44no—
214C4×Dic71—44no—
215C24×C71C2411yescharacteristic
216C22×C4×C71—22no—
217C22×C4×C71—22no—
218C22×C4×C71—42no—
219C22×C4×C71—42no—
220C22×C4×C71C22×C414yes—
221C22×C4×C71C22×C414yes—
222C22×C4×C71C22×C414yes—
223C22×C4×C71C2414yes—
224C22×C4×C71C2414yes—
225C22×C4×C71C2411yescharacteristic
226C22×C4×C71C2411yescharacteristic
227C22×C4×C71C2412yes—
228C22×C4×C71C2412yes—
229C4⋊C4×C71—42no—
230C4⋊C4×C71—42no—
231C4⋊C4×C71C22×C418yes—
232C4⋊C4×C71C22×C418yes—
233C22⋊C4×C71—24no—
234C22⋊C4×C71—24no—
235C42×C71—44no—
236C23×C71—22no—
237C23×C71—22no—
238C23×C71C23×C412yes—
239C23×C71H(5,𝔽2)12yes—
240C23×C712−1+412yes—
241C23×C71C2511yescharacteristic
242C22×D71—22no—
243C22×D71—21no—
244C22×D71—21no—
245C22×D71—28no—
246C22×D71—21no—
247C22×D71—22no—
248C22×D71—22no—
249C22×D71—21no—
250C22×D71—28no—
251C22×D71—44no—
252C22×D71—48no—
253C22×D71—48no—
254C22×D71C23×C412yes—
255C22×D71C23×C412yes—
256C22×D712−1+414yes—
257C2×C4×C71—28no—
258C2×C4×C71—24no—
259C2×C4×C71—22no—
260C2×C4×C71—22no—
261C2×C4×C71—22no—
262C2×C4×C71—22no—
263C2×C4×C71—24no—
264C2×C4×C71—24no—
265C2×C4×C71—24no—
266C2×C4×C71—24no—
267C2×C4×C71—24no—
268C2×C4×C71—24no—
269C2×C4×C71—44no—
270C2×C4×C71—44no—
271C2×C4×C71C23×C414yes—
272C2×C4×C71C23×C414yes—
273C2×C4×C71C23×C412yes—
274C2×C4×C71C23×C412yes—
275C2×Dic71—28no—
276C2×Dic71—22no—
277C2×Dic71—24no—
278C2×Dic71—22no—
279C2×Dic71—22no—
280C2×Dic71—28no—
281C2×Dic71—24no—
282C2×Dic71—24no—
283C2×Dic71—24no—
284C2×Dic71—24no—
285C2×Dic71—24no—
286C2×Dic71—24no—
287C2×Dic71—44no—
288C2×Dic71C23×C414yes—
289C2×Dic71C23×C414yes—
290C2×Dic71C23×C412yes—
291C2×Dic71C23×C412yes—
292C2×Dic71H(5,𝔽2)14yes—
293C4×D71—28no—
294C4×D71—28no—
295C4×D71—44no—
296C4×D71—44no—
297C4×D71—88no—
298Dic142—216no—
299Dic142—48no—
300C22×C71—22no—
301C22×C71—22no—
302C22×C71—24no—
303C22×C71—24no—
304C22×C71#52014yes—
305C22×C71C24×C411yescharacteristic
306C22×C71C2×H(5,𝔽2)12yes—
307C22×C71C2×H(5,𝔽2)11yescharacteristic
308C22×C71C2×2−1+412yes—
309C22×C71C2×2−1+411yescharacteristic
310C2×D71—22no—
311C2×D71—22no—
312C2×D71—24no—
313C2×D71—24no—
314C2×D71—22no—
315C2×D71—22no—
316C2×D71—22no—
317C2×D71—416no—
318C2×D71—42no—
319C2×D71—42no—
320C2×D71#51914yes—
321C4×C71—24no—
322C4×C71—22no—
323C4×C71—22no—
324C4×C71—24no—
325C4×C71—44no—
326C4×C71—44no—
327Dic71—24no—
328Dic71—22no—
329Dic71—24no—
330Dic71—44no—
331Dic71—44no—
332Dic71#51814yes—
333#34380—711nomaximal, Sylow
334C2×C71—24no—
335C2×C71C2×#51811yescharacteristic
336C2×C71C2×#51911yescharacteristic
337C2×C71C2×#52011yescharacteristic
338C2×C71#353612yes—
339C2×C71#353812yes—
340D71—24no—
341D71—42no—
342C22×C22⋊Q8—711no—
343#2378—714no—
344#2360—714no—
345#2344—712no—
346#2342—712no—
347#2342—712no—
348Q8×C22⋊C4—712no—
349#2329—714no—
350#2323—714no—
351#2316—711no—
352#2316—711no—
353#2313—711no—
354#2313D7111yescharacteristic, complemented
355#2280—711no—
356C2×#380—711no—
357C71#3438011yescharacteristic, complemented, Sylow
358C23×Q8—711no—
359C24×C4—711no—
360C2×C22⋊Q8—7116no—
361C2×C22⋊Q8—712no—
362C2×C22⋊Q8—712no—
363C2×C22⋊Q8—712no—
364C2×C22⋊Q8—712no—
365C2×C4×Q8—714no—
366C2×#117—712no—
367C2×#117—712no—
368C2×#117—712no—
369C22×C4⋊C4—712no—
370C22×C4⋊C4—711no—
371C22×C4⋊C4—711no—
372C22×C4⋊C4C2×D7111yescharacteristic
373C22×C22⋊C4—712no—
374C22×C22⋊C4—711no—
375C22×C22⋊C4—711no—
376#391—714no—
377#391—714no—
378#391—714no—
379#389—714no—
380#389—714no—
381#389—714no—
382#389—714no—
383#389—714no—
384#388—714no—
385#388—714no—
386#388—714no—
387#388—714no—
388#387—714no—
389#387—714no—
390#387—714no—
391#387—714no—
392#387C2×D7114yescomplemented
393#387C2×D7114yescomplemented
394#385—714no—
395#385—714no—
396#381—712no—
397#381—712no—
398#381C2×D7112yes—
399#380—711no—
400#380—711no—
401#380—712no—
402#380—712no—
403#380—712no—
404#380—712no—
405#380—712no—
406#380—712no—
407#380C2×D7111yescharacteristic
408#380C2×D7111yescharacteristic
409#379—712no—
410C4×C4⋊C4—714no—
411C4×C22⋊C4—712no—
412C4×C22⋊C4—712no—
413C4×C22⋊C4—714no—
414C4×C22⋊C4—714no—
415C4×C22⋊C4—712no—
416C4×C22⋊C4C2×D7112yes—
417C2×#95—712no—
418C25—711no—
419C22×Q8—2844no—
420C22×Q8—718no—
421C22×Q8—712no—
422C22×Q8—712no—
423C23×C4—2844no—
424C23×C4—711no—
425C23×C4—718no—
426C23×C4—711no—
427C23×C4—711no—
428C23×C4—714no—
429C23×C4—711no—
430C23×C4—711no—
431C23×C4—711no—
432C23×C4—711no—
433C23×C4C22×D7111yescharacteristic
434C23×C4C22×D7111yescharacteristic
435C23×C4C22×D7111yescharacteristic
436C22⋊Q8—7116no—
437C22⋊Q8—7116no—
438C22⋊Q8—7116no—
439C22⋊Q8—7116no—
440C4×Q8—2848no—
441#117—2844no—
442#117—2844no—
443#117—2844no—
444C2×C4⋊C4—2844no—
445C2×C4⋊C4—712no—
446C2×C4⋊C4—712no—
447C2×C4⋊C4—714no—
448C2×C4⋊C4—714no—
449C2×C4⋊C4—714no—
450C2×C4⋊C4—714no—
451C2×C4⋊C4—718no—
452C2×C4⋊C4—718no—
453C2×C4⋊C4—712no—
454C2×C4⋊C4—712no—
455C2×C4⋊C4—712no—
456C2×C4⋊C4—712no—
457C2×C4⋊C4—714no—
458C2×C4⋊C4C4×D7118yescomplemented
459C2×C4⋊C4C22×D7112yes—
460C2×C4⋊C4C22×D7112yes—
461C2×C4⋊C4C22×D7112yes—
462C2×C4⋊C4C22×D7112yes—
463C2×C22⋊C4—2844no—
464C2×C22⋊C4—714no—
465C2×C22⋊C4—714no—
466C2×C22⋊C4—718no—
467C2×C22⋊C4—718no—
468C2×C22⋊C4—712no—
469C2×C22⋊C4—712no—
470C2×C22⋊C4—712no—
471C2×C22⋊C4—712no—
472C2×C22⋊C4—712no—
473C2×C22⋊C4—712no—
474C2×C22⋊C4—714no—
475C2×C22⋊C4C22×D7112yes—
476C2×C22⋊C4C22×D7112yes—
477C2×C42—714no—
478C2×C42—714no—
479C2×C42—714no—
480C2×C42—714no—
481C2×C42C22×D7114yes—
482#95—712no—
483#95—714no—
484#95—714no—
485#95—712no—
486#95—714no—
487#95—714no—
488#95—714no—
489#95—714no—
490#95—714no—
491#95C22×D7112yes—
492#95C22×D7112yes—
493#95C22×D7114yes—
494#95C22×D7114yes—
495#95C22×D7114yes—
496C24—2842no—
497C24—714no—
498C24—711no—
499C24—711no—
500C24—1424no—
501C24—1422no—
502C24—1422no—
503C24C23×D7111yescharacteristic
504C2×Q8—2844no—
505C2×Q8—28416no—
506C2×Q8—718no—
507C2×Q8—718no—
508C2×Q8—1428no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—2842no—
514C22×C4—2842no—
515C22×C4—2844no—
516C22×C4—2844no—
517C22×C4—28416no—
518C22×C4—2842no—
519C22×C4—714no—
520C22×C4—714no—
521C22×C4—714no—
522C22×C4—711no—
523C22×C4—714no—
524C22×C4—714no—
525C22×C4—711no—
526C22×C4—712no—
527C22×C4—712no—
528C22×C4—714no—
529C22×C4—714no—
530C22×C4—714no—
531C22×C4—714no—
532C22×C4—1428no—
533C22×C4—1424no—
534C22×C4—1424no—
535C22×C4—1424no—
536C22×C4—1422no—
537C22×C4—1422no—
538C22×C4C2×C4×D7114yes—
539C22×C4C2×C4×D7114yes—
540C22×C4C2×C4×D7114yes—
541C22×C4C23×D7114yes—
542C22×C4C23×D7114yes—
543C22×C4C23×D7112yes—
544C22×C4C23×D7111yescharacteristic
545C22×C4C23×D7111yescharacteristic
546C22×C4C23×D7112yes—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—2844no—
550C4⋊C4—2844no—
551C4⋊C4—2842no—
552C4⋊C4—2842no—
553C4⋊C4—2844no—
554C4⋊C4—2844no—
555C4⋊C4—718no—
556C4⋊C4—718no—
557C4⋊C4—718no—
558C4⋊C4—718no—
559C4⋊C4—1428no—
560C4⋊C4C2×C4×D7118yes—
561C4⋊C4C2×C4×D7118yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—2844no—
565C22⋊C4—2844no—
566C22⋊C4—718no—
567C22⋊C4—718no—
568C22⋊C4—718no—
569C22⋊C4—718no—
570C22⋊C4—1428no—
571C22⋊C4—1424no—
572C22⋊C4—1424no—
573C42—44no—
574C42—2844no—
575C42—2844no—
576C42—2844no—
577C42—1428no—
578C23—22no—
579C23—22no—
580C23—2848no—
581C23—2848no—
582C23—2844no—
583C23—712no—
584C23—714no—
585C23—712no—
586C23—1428no—
587C23—1422no—
588C23—1421no—
589C23—1422no—
590C23—1421no—
591C23—1428no—
592C23—1422no—
593C23—1421no—
594C23—1421no—
595C23C22×C4×D7112yes—
596C23#1455617412yes—
597C23#1455617512yes—
598C23C24×D7111yescharacteristic
599Q8—2848no—
600Q8—14216no—
601C2×C4—24no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—28no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—2844no—
616C2×C4—2844no—
617C2×C4—2844no—
618C2×C4—5688no—
619C2×C4—712no—
620C2×C4—714no—
621C2×C4—714no—
622C2×C4—714no—
623C2×C4—712no—
624C2×C4—1428no—
625C2×C4—1428no—
626C2×C4—1424no—
627C2×C4—1424no—
628C2×C4—1424no—
629C2×C4—1424no—
630C2×C4—1424no—
631C2×C4—1424no—
632C2×C4—1428no—
633C2×C4—1424no—
634C2×C4—1422no—
635C2×C4—1422no—
636C2×C4—1422no—
637C2×C4—1428no—
638C2×C4C22×C4×D7114yes—
639C2×C4C22×C4×D7114yes—
640C2×C4C22×C4×D7112yes—
641C2×C4C22×C4×D7112yes—
642C22—22no—
643C22—22no—
644C22—24no—
645C22—24no—
646C22—28416no—
647C22—2842no—
648C22—2842no—
649C22—714no—
650C22—1422no—
651C22—1422no—
652C22—1422no—
653C22—1422no—
654C22—1422no—
655C22—1424no—
656C22—1424no—
657C22#1798647914yes—
658C22C23×C4×D7111yescharacteristic
659C22H(5,𝔽2)×D7112yes—
660C22C2×#1455617411yescharacteristic
661C222−1+4×D7112yes—
662C22C2×#1455617511yescharacteristic
663C4—22no—
664C4—22no—
665C4—24no—
666C4—24no—
667C4—44no—
668C4—44no—
669C4—2844no—
670C4—2844no—
671C4—714no—
672C4—1422no—
673C4—1424no—
674C4—1424no—
675C2—24no—
676C2—2842no—
677C2—1424no—
678C2#518×D7111yescharacteristic
679C2#519×D7111yescharacteristic
680C2C2×#1798647911yescharacteristic
681C2#2260256412yes—
682C2#2260258712yes—
subgroupG/H
center, FrattiniC23C24×D71
commutatorC22×C71C24×C4
FittingC71×#2313C2
socle, cosocleC23×C71C25
prime radicalC24×D71C23
hypercenter#2313D71
hypocenterC71#34380
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2313

Complements

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

NH ≅ G/Ntype
2. #22591505C2semidirect
3. #22591348C2semidirect
4. #22591204C2semidirect
7. C22⋊C4×Dic142C2semidirect
8. #22591067C2semidirect
9. #22591021C2semidirect
10. #22590958C2semidirect
11. #22590957C2semidirect
12. #22590942C2semidirect
15. C71×#2313C2semidirect
18. C2×#14556106C4semidirect
23. C2×C4×Dic142C22semidirect
33. #17985905C22semidirect
34. #17985903C22semidirect
35. #17985903C22semidirect
36. #17985898C22semidirect
37. #17985898C22semidirect
38. #17985896C22semidirect
39. #17985896C22semidirect
40. #17985894C22semidirect
45. #17985886C22semidirect
46. #17985886C22semidirect
47. #17985881C22semidirect
48. #17985880C22semidirect
62. #17985850C22semidirect
70. #387×C71C22semidirect
71. #387×C71C22semidirect
78. C22×Dic142C2×C4semidirect
93. #14556106C2×C4semidirect
94. #14556106C2×C4semidirect
103. C2×Dic71⋊C4C2×C4semidirect
104. C2×Dic71⋊C4C2×C4semidirect
141. C2×C4⋊C4×C71C2×C4semidirect
354. #2313D71semidirect
357. C71#34380semidirect
392. #387C2×D71semidirect
393. #387C2×D71semidirect
458. C2×C4⋊C4C4×D71semidirect

Maximal subgroups

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

subgroupindex
C22×#145561062
#225915052
#225913482
#225912042
#225911922
#225911822
C22⋊C4×Dic1422
#225910672
#225910212
#225909582
#225909572
#225909422
#225907222
#380×D712
C71×#23132
#3438071