Finite Group Databasebeta

← C2×#22591723 #32166073

Subgroups — C2×#22591723 #32166073

Order 18176.

4946 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×#14556112C211yesmaximal, characteristic, complemented
2C22×#14556098C211yesmaximal, characteristic
3C22×#14556084C211yesmaximal, characteristic, complemented
4C23×(C2×D71)⋊C4C211yesmaximal, characteristic, complemented
5#22591723C2116yesmaximal, direct product factor
6C2×#17985921C212yesmaximal, complemented
7C2×#17985917C212yesmaximal, complemented
8C2×#17985900C212yesmaximal, complemented
9C2×#17985891C212yesmaximal, complemented
10C2×#17985878C211yesmaximal, characteristic, complemented
11C2×#17985854C211yesmaximal, characteristic, complemented
12C2×#385×C71C211yesmaximal, characteristic, complemented
13C25×D71C2211yescharacteristic
14C23×D284C2212yes—
15C23×C22⋊D71C2211yescharacteristic
16C24×Dic71C2211yescharacteristic
17C2×#14556112—28no—
18C2×#14556112C2218yescomplemented
19C2×#14556098—28no—
20C2×#14556098C2218yes—
21C2×#14556084—28no—
22C2×#14556084C2218yescomplemented
23C22×C4⋊Dic71C2211yescharacteristic, complemented
24C22×C4⋊Dic71C2211yescharacteristic, complemented
25C22×Dic71⋊C4C2212yescomplemented
26C22×C22⋊Dic71C2211yescharacteristic
27C22×(C2×D71)⋊C4—28no—
28C22×(C2×D71)⋊C4C2212yes—
29C22×(C2×D71)⋊C4C2212yes—
30C22×(C2×D71)⋊C4C2212yes—
31C22×(C2×D71)⋊C4C2212yes—
32C22×(C2×D71)⋊C4C2212yes—
33C22×(C2×D71)⋊C4C2218yescomplemented
34C22×(C2×D71)⋊C4C2211yescharacteristic, complemented
35C22×(C2×D71)⋊C4C2211yescharacteristic, complemented
36C22×(C2×D71)⋊C4C2212yescomplemented
37C22×C4×Dic71C2212yescomplemented
38#17985921C22116yescomplemented
39#17985917C22116yescomplemented
40#17985900C22116yescomplemented
41#17985891C22116yescomplemented
42#17985878C2218yescomplemented
43#17985854C2218yescomplemented
44C2×C71⋊#95C2212yescomplemented
45C24×C4×C71C2211yescharacteristic
46C22×C4⋊C4×C71C2212yescomplemented
47C22×C22⋊C4×C71C2211yescharacteristic
48C22×C22⋊C4×C71C2211yescharacteristic
49#385×C71C2218yescomplemented
50C2×#95×C71C2212yescomplemented
51C24×D71—28no—
52C24×D71—24no—
53C24×D71—24no—
54C24×D71—24no—
55C24×D71—44no—
56C24×D71C2311yescharacteristic
57C24×D71C2312yes—
58C24×D71C2314yes—
59C22×D284—28no—
60C22×D284—28no—
61C22×D284—44no—
62C22×D284C2318yes—
63C22×C22⋊D71—24no—
64C22×C22⋊D71—24no—
65C22×C22⋊D71—24no—
66C22×C22⋊D71C2314yes—
67C23×Dic71—24no—
68C23×Dic71—24no—
69C23×Dic71D418yescomplemented
70C23×Dic71C2311yescharacteristic
71C23×Dic71C2312yes—
72C23×Dic71C2311yescharacteristic
73C23×Dic71C2311yescharacteristic
74C23×Dic71C2314yes—
75#14556112—232no—
76#14556098—232no—
77#14556084—232no—
78C2×C4⋊Dic71—24no—
79C2×C4⋊Dic71—24no—
80C2×C4⋊Dic71C2314yescomplemented
81C2×C4⋊Dic71C2314yescomplemented
82C2×Dic71⋊C4—28no—
83C2×Dic71⋊C4C2318yescomplemented
84C2×C22⋊Dic71—24no—
85C2×C22⋊Dic71C2314yes—
86C2×(C2×D71)⋊C4—28no—
87C2×(C2×D71)⋊C4—28no—
88C2×(C2×D71)⋊C4—28no—
89C2×(C2×D71)⋊C4—24no—
90C2×(C2×D71)⋊C4—24no—
91C2×(C2×D71)⋊C4—232no—
92C2×(C2×D71)⋊C4—28no—
93C2×(C2×D71)⋊C4—44no—
94C2×(C2×D71)⋊C4—44no—
95C2×(C2×D71)⋊C4C2318yes—
96C2×(C2×D71)⋊C4C2318yes—
97C2×(C2×D71)⋊C4C2318yes—
98C2×(C2×D71)⋊C4C2318yes—
99C2×(C2×D71)⋊C4C2318yes—
100C2×(C2×D71)⋊C4C2314yescomplemented
101C2×(C2×D71)⋊C4C2314yescomplemented
102C2×(C2×D71)⋊C4C2318yescomplemented
103C2×C4×Dic71—28no—
104C2×C4×Dic71C2318yescomplemented
105C71⋊#95C2318yescomplemented
106C25×C71C2311yescharacteristic
107C23×C4×C71—24no—
108C23×C4×C71—44no—
109C23×C4×C71C2312yes—
110C23×C4×C71C2311yescharacteristic
111C23×C4×C71C2311yescharacteristic
112C23×C4×C71C2312yes—
113C23×C4×C71C2314yes—
114C2×C4⋊C4×C71—44no—
115C2×C4⋊C4×C71C2318yescomplemented
116C2×C22⋊C4×C71—24no—
117C2×C22⋊C4×C71D418yes—
118C2×C22⋊C4×C71C2314yes—
119C2×C22⋊C4×C71C2314yes—
120#95×C71C2318yescomplemented
121C23×D71—232no—
122C23×D71—24no—
123C23×D71—28no—
124C23×D71—24no—
125C23×D71—24no—
126C23×D71—24no—
127C23×D71—24no—
128C23×D71—24no—
129C23×D71—216no—
130C23×D71—22no—
131C23×D71—22no—
132C23×D71—28no—
133C23×D71—22no—
134C23×D71—24no—
135C23×D71—28no—
136C23×D71—24no—
137C23×D71—48no—
138C23×D71—432no—
139C23×D71—432no—
140C23×D71—416no—
141C23×D71—416no—
142C23×D71#4118yes—
143C23×D71C2412yes—
144C23×D71C2414yes—
145C2×D284—216no—
146C2×D284—216no—
147C2×D284—48no—
148C2×D284—432no—
149C2×C22⋊D71—28no—
150C2×C22⋊D71—28no—
151C2×C22⋊D71—28no—
152C2×C22⋊D71—416no—
153C22×Dic71—232no—
154C22×Dic71—22no—
155C22×Dic71—22no—
156C22×Dic71—28no—
157C22×Dic71—22no—
158C22×Dic71—22no—
159C22×Dic71—28no—
160C22×Dic71—22no—
161C22×Dic71—22no—
162C22×Dic71—24no—
163C22×Dic71—22no—
164C22×Dic71—24no—
165C22×Dic71—24no—
166C22×Dic71C2×D414yes—
167C22×Dic71C2×D414yes—
168C22×Dic71C2×D4116yescomplemented
169C22×Dic71C2412yes—
170C22×Dic71C2414yes—
171C22×Dic71C2412yes—
172C22×Dic71C2412yes—
173C4⋊Dic71—28no—
174C4⋊Dic71—28no—
175Dic71⋊C4—216no—
176C22⋊Dic71—28no—
177(C2×D71)⋊C4—216no—
178(C2×D71)⋊C4—216no—
179(C2×D71)⋊C4—216no—
180(C2×D71)⋊C4—216no—
181(C2×D71)⋊C4—28no—
182(C2×D71)⋊C4—28no—
183(C2×D71)⋊C4—48no—
184(C2×D71)⋊C4—48no—
185C4×Dic71—216no—
186C24×C71—24no—
187C24×C71—24no—
188C24×C71C2×D414yes—
189C24×C71C2×D414yes—
190C24×C71#4114yes—
191C24×C71C2412yes—
192C24×C71C2411yescharacteristic
193C22×C4×C71—24no—
194C22×C4×C71—24no—
195C22×C4×C71—22no—
196C22×C4×C71—22no—
197C22×C4×C71—28no—
198C22×C4×C71—24no—
199C22×C4×C71—24no—
200C22×C4×C71—24no—
201C22×C4×C71—24no—
202C22×C4×C71—24no—
203C22×C4×C71—48no—
204C22×C4×C71—416no—
205C22×C4×C71C2×D418yes—
206C22×C4×C71C2412yes—
207C22×C4×C71C2414yes—
208C22×C4×C71C2412yes—
209C22×C4×C71C2414yes—
210C4⋊C4×C71—48no—
211C22⋊C4×C71—28no—
212C22⋊C4×C71C2×D4116yes—
213C23×C71—28no—
214C23×C71—28no—
215C23×C71—216no—
216C23×C71—216no—
217C23×C71—24no—
218C23×C71—24no—
219C23×C71#121116yes—
220C23×C71C22×D414yes—
221C23×C71C22×D412yes—
222C23×C71C22×D414yes—
223C23×C71C22×D412yes—
224C23×C71C2×#4114yes—
225C23×C71C2×#4114yes—
226C23×C71C2×#4112yes—
227C23×C71H(5,𝔽2)14yes—
228C23×C71C2511yescharacteristic
229C22×D71—232no—
230C22×D71—216no—
231C22×D71—216no—
232C22×D71—216no—
233C22×D71—24no—
234C22×D71—24no—
235C22×D71—24no—
236C22×D71—24no—
237C22×D71—24no—
238C22×D71—24no—
239C22×D71—22no—
240C22×D71—22no—
241C22×D71—22no—
242C22×D71—24no—
243C22×D71—24no—
244C22×D71—432no—
245C22×D71—432no—
246C22×D71—4128no—
247C22×D71—416no—
248C22×D71—416no—
249C22×D71—48no—
250C22×D71—48no—
251C22×D71—48no—
252C22×D71—48no—
253C22×D71—44no—
254C22×D71—44no—
255C22×D71—44no—
256C22×D71—48no—
257C22×D71—48no—
258C22×D71C2×#4118yes—
259C2×C4×C71—216no—
260C2×C4×C71—24no—
261C2×C4×C71—24no—
262C2×C4×C71—22no—
263C2×C4×C71—22no—
264C2×C4×C71—24no—
265C2×C4×C71—24no—
266C2×C4×C71—24no—
267C2×C4×C71—24no—
268C2×C4×C71—24no—
269C2×C4×C71—416no—
270C2×C4×C71—44no—
271C2×C4×C71—44no—
272C2×C4×C71—48no—
273C2×C4×C71C22×D418yes—
274C22⋊D71—416no—
275C2×Dic71—28no—
276C2×Dic71—28no—
277C2×Dic71—232no—
278C2×Dic71—22no—
279C2×Dic71—22no—
280C2×Dic71—22no—
281C2×Dic71—22no—
282C2×Dic71—24no—
283C2×Dic71—22no—
284C2×Dic71—22no—
285C2×Dic71—24no—
286C2×Dic71—22no—
287C2×Dic71—24no—
288C2×Dic71—44no—
289C2×Dic71—48no—
290C2×Dic71C22×D414yes—
291C2×Dic71C22×D414yes—
292D284—432no—
293C22×C71—232no—
294C22×C71—24no—
295C22×C71—24no—
296C22×C71—28no—
297C22×C71—28no—
298C22×C71C2×#12118yes—
299C22×C71C2×#12114yes—
300C22×C71#52514yes—
301C22×C71#53514yes—
302C22×C71#54618yes—
303C22×C71#55118yes—
304C22×C71C23×D411yescharacteristic
305C22×C71C23×D411yescharacteristic
306C22×C71C22×#4112yes—
307C22×C71C22×#4111yescharacteristic
308C22×C71C2×H(5,𝔽2)12yes—
309C2×D71—28no—
310C2×D71—28no—
311C2×D71—28no—
312C2×D71—464no—
313C2×D71—44no—
314C2×D71—432no—
315C2×D71—44no—
316C2×D71—44no—
317C2×D71—44no—
318C2×D71—42no—
319C2×D71—42no—
320C2×D71—42no—
321C2×D71—44no—
322C2×D71—44no—
323C2×D71—88no—
324C4×C71—28no—
325C4×C71—42no—
326C4×C71—42no—
327C4×C71—44no—
328Dic71—24no—
329Dic71—24no—
330Dic71—42no—
331Dic71—44no—
332C2×#2411—711nomaximal, Sylow
333C2×C71—28no—
334C2×C71#241118yescomplemented
335C2×C71C22×#12111yescharacteristic
336C2×C71C2×#52511yescharacteristic
337C2×C71C2×#53511yescharacteristic
338C2×C71C2×#54612yes—
339C2×C71C2×#55112yes—
340D71—48no—
341D71—82no—
342C22×#123—711no—
343C22×#120—711no—
344C22×#117—711no—
345C23×C22⋊C4—711no—
346#2411—7116no—
347C2×#396—712no—
348C2×#394—712no—
349C2×#390—712no—
350C2×#388—712no—
351C2×#386—711no—
352C2×#385D7111yescharacteristic, complemented
353C2×#379—711no—
354C71C2×#241111yescharacteristic, complemented, Sylow
355C26—711no—
356C23×D4—711no—
357C23×D4—712no—
358C24×C4—711no—
359C24×C4C2×D7111yescharacteristic
360C2×#123—718no—
361C2×#123—1428no—
362C2×#120—718no—
363C2×#120—1428no—
364C2×#117—718no—
365C2×#117—1428no—
366C22×C4⋊C4—712no—
367C22×C4⋊C4—711no—
368C22×C4⋊C4—711no—
369C22×C4⋊C4C2×D7112yescomplemented
370C22×C22⋊C4—712no—
371C22×C22⋊C4—712no—
372C22×C22⋊C4—711no—
373C22×C22⋊C4—711no—
374C22×C22⋊C4—712no—
375C22×C22⋊C4—712no—
376C22×C22⋊C4—712no—
377C22×C22⋊C4—718no—
378C22×C22⋊C4—712no—
379C22×C22⋊C4—711no—
380C22×C22⋊C4—1428no—
381C22×C22⋊C4C2×D7111yescharacteristic
382C22×C22⋊C4C2×D7111yescharacteristic
383C22×C42—712no—
384#396—7116no—
385#394—7116no—
386#390—7116no—
387#388—7116no—
388#386—718no—
389#385C2×D7118yescomplemented
390#379—718no—
391C2×#95—712no—
392C2×#95C2×D7112yescomplemented
393C25—2844no—
394C25—714no—
395C25—712no—
396C25—711no—
397C25—1428no—
398C25—1424no—
399C25—1424no—
400C25—1424no—
401C25C22×D7111yescharacteristic
402C22×D4—2844no—
403C22×D4—714no—
404C22×D4—718no—
405C22×D4—1428no—
406C22×D4—1424no—
407C22×D4—1424no—
408C22×D4—1424no—
409C22×D4—1428no—
410C23×C4—24no—
411C23×C4—44no—
412C23×C4—718no—
413C23×C4—714no—
414C23×C4—711no—
415C23×C4—711no—
416C23×C4—712no—
417C23×C4—711no—
418C23×C4—1424no—
419C23×C4—1424no—
420C23×C4C22×D7111yescharacteristic
421C23×C4C22×D7111yescharacteristic
422C23×C4C22×D7112yes—
423C23×C4C22×D7112yes—
424C23×C4C22×D7114yes—
425#123—14232no—
426#120—14232no—
427#117—14232no—
428C2×C4⋊C4—44no—
429C2×C4⋊C4—718no—
430C2×C4⋊C4—714no—
431C2×C4⋊C4—714no—
432C2×C4⋊C4—1424no—
433C2×C4⋊C4—1424no—
434C2×C4⋊C4—1428no—
435C2×C4⋊C4C22×D7118yescomplemented
436C2×C22⋊C4—24no—
437C2×C22⋊C4—2844no—
438C2×C22⋊C4—2844no—
439C2×C22⋊C4—718no—
440C2×C22⋊C4—718no—
441C2×C22⋊C4—714no—
442C2×C22⋊C4—718no—
443C2×C22⋊C4—718no—
444C2×C22⋊C4—718no—
445C2×C22⋊C4—714no—
446C2×C22⋊C4—714no—
447C2×C22⋊C4—718no—
448C2×C22⋊C4—1428no—
449C2×C22⋊C4—1428no—
450C2×C22⋊C4—14232no—
451C2×C22⋊C4—1424no—
452C2×C22⋊C4—1424no—
453C2×C22⋊C4—1428no—
454C2×C22⋊C4—1424no—
455C2×C22⋊C4—1428no—
456C2×C22⋊C4D28418yes—
457C2×C22⋊C4C22×D7114yes—
458C2×C22⋊C4C22×D7114yes—
459C2×C42—718no—
460C2×C42—1428no—
461#95—718no—
462#95C22×D7118yescomplemented
463C24—24no—
464C24—24no—
465C24—28416no—
466C24—28432no—
467C24—28432no—
468C24—2848no—
469C24—28416no—
470C24—718no—
471C24—714no—
472C24—712no—
473C24—14216no—
474C24—14232no—
475C24—1422no—
476C24—1428no—
477C24—1422no—
478C24—1424no—
479C24—1422no—
480C24—1428no—
481C24—1424no—
482C24—1428no—
483C24—1424no—
484C24—1424no—
485C24—1424no—
486C24—1424no—
487C24—1424no—
488C24—1424no—
489C24D4×D7114yes—
490C24C2×D28414yes—
491C24#1176586614yes—
492C24C23×D7112yes—
493C24C23×D7111yescharacteristic
494C2×D4—28432no—
495C2×D4—2848no—
496C2×D4—28416no—
497C2×D4—14216no—
498C2×D4—1428no—
499C2×D4—1428no—
500C2×D4—1428no—
501C2×D4—14216no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—28no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—48no—
513C22×C4—416no—
514C22×C4—714no—
515C22×C4—714no—
516C22×C4—7116no—
517C22×C4—712no—
518C22×C4—712no—
519C22×C4—712no—
520C22×C4—714no—
521C22×C4—1422no—
522C22×C4—1424no—
523C22×C4—1422no—
524C22×C4—1424no—
525C22×C4—1422no—
526C22×C4—1424no—
527C22×C4—1422no—
528C22×C4—1422no—
529C22×C4—1428no—
530C22×C4—1428no—
531C22×C4—1422no—
532C22×C4—1422no—
533C22×C4—14232no—
534C22×C4C2×D28418yes—
535C22×C4C23×D7114yes—
536C22×C4C23×D7112yes—
537C22×C4C23×D7112yes—
538C22×C4C23×D7114yes—
539C4⋊C4—48no—
540C4⋊C4—1428no—
541C4⋊C4—1428no—
542C4⋊C4—14216no—
543C22⋊C4—28no—
544C22⋊C4—2848no—
545C22⋊C4—2848no—
546C22⋊C4—14216no—
547C22⋊C4—14216no—
548C22⋊C4—1428no—
549C22⋊C4—1428no—
550C22⋊C4—14216no—
551C22⋊C4—1428no—
552C22⋊C4—14216no—
553C22⋊C4C2×D284116yes—
554C42—14216no—
555C23—28no—
556C23—24no—
557C23—24no—
558C23—216no—
559C23—216no—
560C23—28no—
561C23—28416no—
562C23—284128no—
563C23—28432no—
564C23—28432no—
565C23—2848no—
566C23—2848no—
567C23—2848no—
568C23—28416no—
569C23—2848no—
570C23—2844no—
571C23—2848no—
572C23—2848no—
573C23—2844no—
574C23—2844no—
575C23—718no—
576C23—14232no—
577C23—1422no—
578C23—1422no—
579C23—1424no—
580C23—1422no—
581C23—1424no—
582C23—1424no—
583C23—1424no—
584C23—1424no—
585C23—1424no—
586C23—1424no—
587C23—1424no—
588C23—14216no—
589C23—14216no—
590C23—14216no—
591C23#14556103116yes—
592C23C2×D4×D7114yes—
593C23C2×D4×D7112yes—
594C23C22×D28414yes—
595C23C22×D28412yes—
596C23#41×D7114yes—
597C23C2×#1176586614yes—
598C23C2×#1176586612yes—
599C23#1455617314yes—
600C23C24×D7111yescharacteristic
601D4—28432no—
602D4—28416no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—216no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—416no—
614C2×C4—48no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—2848no—
618C2×C4—2844no—
619C2×C4—714no—
620C2×C4—714no—
621C2×C4—1422no—
622C2×C4—1424no—
623C2×C4—1422no—
624C2×C4—1424no—
625C2×C4—1422no—
626C2×C4—1424no—
627C2×C4—1422no—
628C2×C4—1422no—
629C2×C4—1422no—
630C2×C4—1422no—
631C2×C4—14232no—
632C2×C4—1428no—
633C2×C4—1428no—
634C2×C4C22×D28418yes—
635C22—28no—
636C22—24no—
637C22—28no—
638C22—24no—
639C22—232no—
640C22—28464no—
641C22—2844no—
642C22—2844no—
643C22—2844no—
644C22—2844no—
645C22—28432no—
646C22—2844no—
647C22—2842no—
648C22—2842no—
649C22—2844no—
650C22—2842no—
651C22—5688no—
652C22—1428no—
653C22—1428no—
654C22—1428no—
655C22C2×#1455610318yes—
656C22C2×#1455610314yes—
657C22#1798650714yes—
658C22#1798656414yes—
659C22#1798664418yes—
660C22#1798667618yes—
661C22C22×D4×D7111yescharacteristic
662C22C23×D28411yescharacteristic
663C22C2×#41×D7112yes—
664C22C22×#1176586611yescharacteristic
665C22C2×#1455617312yes—
666C4—28no—
667C4—42no—
668C4—44no—
669C4—42no—
670C4—2844no—
671C4—2842no—
672C4—1424no—
673C4—1424no—
674C2—28no—
675C2—2848no—
676C2—5682no—
677C2#2259172318yesdirect product factor
678C2C22×#1455610311yescharacteristic
679C2C2×#1798650711yescharacteristic
680C2C2×#1798656411yescharacteristic
681C2C2×#1798664412yes—
682C2C2×#1798667612yes—
subgroupG/H
centerC24C23×D71
commutator, cosocleC23×C71C25
FrattiniC23C24×D71
FittingC2×#385×C71C2
socleC24×C71C24
prime radicalC22×#14556098C2
hypercenterC2×#385D71
hypocenterC71C2×#2411
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
1. C22×#14556112C2semidirect
3. C22×#14556084C2semidirect
4. C23×(C2×D71)⋊C4C2semidirect
5. #22591723C2direct (N × H)
6. C2×#17985921C2semidirect
7. C2×#17985917C2semidirect
8. C2×#17985900C2semidirect
9. C2×#17985891C2semidirect
10. C2×#17985878C2semidirect
11. C2×#17985854C2semidirect
12. C2×#385×C71C2semidirect
18. C2×#14556112C22semidirect
22. C2×#14556084C22semidirect
23. C22×C4⋊Dic71C22semidirect
24. C22×C4⋊Dic71C22semidirect
25. C22×Dic71⋊C4C22semidirect
33. C22×(C2×D71)⋊C4C22semidirect
34. C22×(C2×D71)⋊C4C22semidirect
35. C22×(C2×D71)⋊C4C22semidirect
36. C22×(C2×D71)⋊C4C22semidirect
37. C22×C4×Dic71C22semidirect
38. #17985921C22semidirect
39. #17985917C22semidirect
40. #17985900C22semidirect
41. #17985891C22semidirect
42. #17985878C22semidirect
43. #17985854C22semidirect
44. C2×C71⋊#95C22semidirect
46. C22×C4⋊C4×C71C22semidirect
49. #385×C71C22semidirect
50. C2×#95×C71C22semidirect
69. C23×Dic71D4semidirect
80. C2×C4⋊Dic71C23semidirect
81. C2×C4⋊Dic71C23semidirect
83. C2×Dic71⋊C4C23semidirect
100. C2×(C2×D71)⋊C4C23semidirect
101. C2×(C2×D71)⋊C4C23semidirect
102. C2×(C2×D71)⋊C4C23semidirect
104. C2×C4×Dic71C23semidirect
105. C71⋊#95C23semidirect
115. C2×C4⋊C4×C71C23semidirect
120. #95×C71C23semidirect
168. C22×Dic71C2×D4semidirect
334. C2×C71#2411semidirect
352. C2×#385D71semidirect
354. C71C2×#2411semidirect
369. C22×C4⋊C4C2×D71semidirect
389. #385C2×D71semidirect
392. C2×#95C2×D71semidirect
435. C2×C4⋊C4C22×D71semidirect
462. #95C22×D71semidirect
677. C2#22591723direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145561122
C22×#145560982
C22×#145560842
C23×(C2×D71)⋊C42
#225917232
C2×#179859212
C2×#179859172
C2×#179859002
C2×#179858912
C2×#179858782
C2×#179858542
C2×#385×C712
C2×#241171