Finite Group Databasebeta

← C2×#22599113 #32867995

Subgroups — C2×#22599113 #32867995

Order 18176.

2354 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14556104C211yesmaximal, characteristic
2C2×C22⋊Q8×D71C211yesmaximal, characteristic
3#22599113C2116yesmaximal, direct product factor
4C2×#17986335C211yesmaximal, characteristic, complemented
5C2×#17986333C212yesmaximal, complemented
6C2×#17986332C211yesmaximal, characteristic, complemented
7C2×#17986239C212yesmaximal, complemented
8C2×#17986237C212yesmaximal, complemented
9C2×#17986155C211yesmaximal, characteristic, complemented
10C2×#17986153C212yesmaximal, complemented
11C2×C22⋊C8×D71C211yesmaximal, characteristic
12C2×#451×C71C211yesmaximal, characteristic, complemented
13C22×Q8×D71C2211yescharacteristic
14C23×C4×D71C2211yescharacteristic
15C22×#11765855C2212yescomplemented
16C22×C8×D71C2212yes—
17C2×#14556108C2211yescharacteristic
18C2×#14556107C2211yescharacteristic
19C2×#14556106—21no—
20C2×#14556105—21no—
21C2×#14556104—21no—
22C2×#14556104—24no—
23C2×#14556104—21no—
24C2×#14556104C2211yescharacteristic
25C2×#14556104C2212yes—
26C2×#14556104C2212yes—
27C2×#14556104C2218yes—
28C22⋊Q8×D71—24no—
29C22⋊Q8×D71C2218yes—
30C22×C4⋊Dic71C2211yescharacteristic
31C22×Dic71⋊C4—21no—
32C2×C4⋊C4×D71—21no—
33C2×C4⋊C4×D71C2211yescharacteristic
34C22×(C2×D71)⋊C4—21no—
35C2×C22⋊C4×D71—21no—
36#17986335C2218yescomplemented
37#17986333C22116yescomplemented
38#17986332C2218yescomplemented
39#17986239C22116yescomplemented
40#17986237C22116yescomplemented
41#17986155C2218yescomplemented
42#17986153C22116yescomplemented
43C2×#14556062C2212yescomplemented
44C2×#14556061C2212yescomplemented
45C2×#14556053C2212yescomplemented
46C2×#14556052C2212yescomplemented
47C2×#14556052C2212yescomplemented
48C2×C22⋊(C71⋊C8)C2211yescharacteristic
49C2×(C2×D71)⋊C8C2212yes—
50C22⋊C8×D71C2218yes—
51C23×Q8×C71C2211yescharacteristic
52C22×Q16×C71C2212yescomplemented
53C2×C22⋊Q8×C71C2211yescharacteristic
54#451×C71C2218yescomplemented
55C2×#103×C71C2212yescomplemented
56C2×C22⋊C8×C71C2211yescharacteristic
57C24×D71D411yescharacteristic
58C22×Dic142—21no—
59C22×Dic142C2311yescharacteristic
60C2×Q8×D71—22no—
61C2×Q8×D71—44no—
62C2×Q8×D71C2314yes—
63C23×Dic71—21no—
64C23×Dic71D411yescharacteristic
65C22×C4×D71—21no—
66C22×C4×D71—21no—
67C22×C4×D71—44no—
68C22×C4×D71D411yescharacteristic
69C22×C4×D71D414yes—
70C22×C4×D71D411yescharacteristic
71C22×C4×D71C2311yescharacteristic
72C22×C4×D71C2311yescharacteristic
73C22×C4×D71C2314yes—
74C2×#11765855—44no—
75C2×#11765855C2318yescomplemented
76C22×C71⋊C8C2312yes—
77C2×C8×D71—44no—
78C2×C8×D71C2318yes—
79#14556108—22no—
80#14556108C2314yes—
81#14556107—22no—
82#14556107C2314yes—
83#14556106—28no—
84#14556105—28no—
85#14556104—22no—
86#14556104—24no—
87#14556104—24no—
88#14556104—28no—
89#14556104—28no—
90#14556104C2318yes—
91#14556104C2314yes—
92#14556104C2318yes—
93C2×C4⋊Dic71—21no—
94C2×C4⋊Dic71—21no—
95C2×C4⋊Dic71—22no—
96C2×C4⋊Dic71C2314yes—
97C2×C4⋊Dic71C2311yescharacteristic
98C2×C4⋊Dic71C2312yes—
99C2×Dic71⋊C4—21no—
100C2×Dic71⋊C4—21no—
101C2×Dic71⋊C4—22no—
102C2×Dic71⋊C4—22no—
103C2×Dic71⋊C4—28no—
104C2×Dic71⋊C4—21no—
105C4⋊C4×D71—28no—
106C4⋊C4×D71—22no—
107C4⋊C4×D71C2314yes—
108C2×C22⋊Dic71—21no—
109C2×(C2×D71)⋊C4—21no—
110C2×(C2×D71)⋊C4—21no—
111C2×(C2×D71)⋊C4—22no—
112C2×(C2×D71)⋊C4—22no—
113C2×(C2×D71)⋊C4—28no—
114C22⋊C4×D71—28no—
115#14556062C2318yescomplemented
116#14556061C2318yescomplemented
117#14556053C2318yescomplemented
118#14556052C2318yescomplemented
119#14556052C2318yescomplemented
120C22⋊(C71⋊C8)C2314yes—
121(C2×D71)⋊C8C2318yes—
122C22×Q8×C71—21no—
123C22×Q8×C71—22no—
124C22×Q8×C71—44no—
125C22×Q8×C71C2311yescharacteristic
126C22×Q8×C71C2312yes—
127C22×Q8×C71C2314yes—
128C23×C4×C71—21no—
129C23×C4×C71C2311yescharacteristic
130C2×Q16×C71—44no—
131C2×Q16×C71C2318yescomplemented
132C22×C8×C71C2312yes—
133C22⋊Q8×C71—22no—
134C22⋊Q8×C71C2314yes—
135C2×C4⋊C4×C71—21no—
136C2×C4⋊C4×C71C2311yescharacteristic
137C2×C22⋊C4×C71—21no—
138#103×C71C2318yescomplemented
139C22⋊C8×C71C2314yes—
140C23×D71—42no—
141C23×D71—42no—
142C23×D71Q1618yescomplemented
143C23×D71C2×D411yescharacteristic
144C23×D71C2×D411yescharacteristic
145C23×D71C2×D414yes—
146C2×Dic142—24no—
147C2×Dic142—21no—
148C2×Dic142—24no—
149C2×Dic142—44no—
150C2×Dic142C2412yes—
151Q8×D71—48no—
152Q8×D71—48no—
153C22×Dic71—21no—
154C22×Dic71—21no—
155C22×Dic71—24no—
156C22×Dic71—22no—
157C22×Dic71—42no—
158C22×Dic71—44no—
159C22×Dic71C2×D411yescharacteristic
160C22×Dic71C2×D411yescharacteristic
161C22×Dic71C2×D414yes—
162C2×C4×D71—24no—
163C2×C4×D71—24no—
164C2×C4×D71—24no—
165C2×C4×D71—24no—
166C2×C4×D71—48no—
167C2×C4×D71—48no—
168C2×C4×D71—42no—
169C2×C4×D71—42no—
170C2×C4×D71—44no—
171C2×C4×D71—44no—
172C2×C4×D71C2×D412yes—
173C2×C4×D71C2×D412yes—
174C2×C4×D71C2×D414yes—
175C2×C4×D71C2×D414yes—
176C2×C4×D71C2412yes—
177C2×C4×D71C2412yes—
178#11765855—48no—
179C2×C71⋊C8—24no—
180C2×C71⋊C8C2414yes—
181C8×D71—48no—
182C4⋊Dic71—21no—
183C4⋊Dic71—24no—
184C4⋊Dic71—22no—
185C4⋊Dic71—24no—
186C4⋊Dic71C2412yes—
187C4⋊Dic71C2414yes—
188Dic71⋊C4—24no—
189Dic71⋊C4—24no—
190Dic71⋊C4—24no—
191Dic71⋊C4—28no—
192Dic71⋊C4—28no—
193C22⋊Dic71—24no—
194(C2×D71)⋊C4—24no—
195(C2×D71)⋊C4—24no—
196(C2×D71)⋊C4—28no—
197(C2×D71)⋊C4—28no—
198C24×C71C2×D411yescharacteristic
199C2×Q8×C71—21no—
200C2×Q8×C71—24no—
201C2×Q8×C71—22no—
202C2×Q8×C71—24no—
203C2×Q8×C71—24no—
204C2×Q8×C71—24no—
205C2×Q8×C71—48no—
206C2×Q8×C71—44no—
207C2×Q8×C71—48no—
208C2×Q8×C71C2412yes—
209C2×Q8×C71C2414yes—
210C22×C4×C71—24no—
211C22×C4×C71—21no—
212C22×C4×C71—21no—
213C22×C4×C71—24no—
214C22×C4×C71—22no—
215C22×C4×C71—44no—
216C22×C4×C71C2×D411yescharacteristic
217C22×C4×C71C2×D412yes—
218C22×C4×C71C2412yes—
219C22×C4×C71C2411yescharacteristic
220Q16×C71—48no—
221C2×C8×C71—24no—
222C2×C8×C71C2414yes—
223C4⋊C4×C71—24no—
224C4⋊C4×C71—21no—
225C4⋊C4×C71C2412yes—
226C22⋊C4×C71—24no—
227C23×C71—22no—
228C23×C71—22no—
229C23×C71C2×Q1614yes—
230C23×C71C22×D412yes—
231C23×C71C22×D411yescharacteristic
232C22×D71—22no—
233C22×D71—22no—
234C22×D71—22no—
235C22×D71—22no—
236C22×D71—44no—
237C22×D71—416no—
238C22×D71—44no—
239C22×D71C2×Q1614yes—
240C22×D71C2×Q1614yes—
241C22×D71C2×Q16116yescomplemented
242C22×D71C22×D412yes—
243C22×D71C22×D412yes—
244Q8×C71—24no—
245Q8×C71—24no—
246Q8×C71—24no—
247Q8×C71—48no—
248Q8×C71—44no—
249Q8×C71—42no—
250C2×C4×C71—22no—
251C2×C4×C71—24no—
252C2×C4×C71—24no—
253C2×C4×C71—22no—
254C2×C4×C71—22no—
255C2×C4×C71—24no—
256C2×C4×C71—48no—
257C2×C4×C71—44no—
258C2×C4×C71—42no—
259C2×C4×C71—42no—
260C2×C4×C71C22×D412yes—
261C2×C4×C71C22×D411yescharacteristic
262C2×C4×C71H(5,𝔽2)14yes—
263C2×C4×C71C2511yescharacteristic
264C2×Dic71—22no—
265C2×Dic71—22no—
266C2×Dic71—24no—
267C2×Dic71—22no—
268C2×Dic71—22no—
269C2×Dic71—44no—
270C2×Dic71—48no—
271C2×Dic71—42no—
272C2×Dic71—42no—
273C2×Dic71—44no—
274C2×Dic71C22×D412yes—
275C2×Dic71C22×D412yes—
276C4×D71—24no—
277C4×D71—24no—
278C4×D71—24no—
279C4×D71—24no—
280C4×D71—44no—
281C4×D71—44no—
282C4×D71—48no—
283C4×D71—48no—
284Dic142—24no—
285Dic142—48no—
286Dic142—42no—
287C8×C71—24no—
288C71⋊C8—24no—
289C22×C71—28no—
290C22×C71—22no—
291C22×C71—22no—
292C22×C71#53412yes—
293C22×C71C22×Q1614yes—
294C22×C71C22×Q1612yes—
295C22×C71#57512yes—
296C22×C71C23×D411yescharacteristic
297C2×D71—28no—
298C2×D71—28no—
299C2×D71—22no—
300C2×D71—22no—
301C2×D71—22no—
302C2×D71—22no—
303C2×D71—416no—
304C2×D71C22×Q1614yes—
305C2×D71C22×Q1614yes—
306C4×C71—22no—
307C4×C71—42no—
308C4×C71—44no—
309C4×C71—42no—
310C4×C71#53412yes—
311C4×C71C2×H(5,𝔽2)12yes—
312Dic71—22no—
313Dic71—22no—
314Dic71—42no—
315Dic71—42no—
316Dic71—44no—
317C2×#3189—711nomaximal, Sylow
318C2×C71—24no—
319C2×C71#318914yescomplemented
320C2×C71C2×#53411yescharacteristic
321C2×C71C23×Q1611yescharacteristic
322C2×C71C2×#57511yescharacteristic
323D71—24no—
324D71—24no—
325C22×C22⋊Q8—711no—
326C22×C22⋊Q8—711no—
327#3189—7116no—
328C2×#484—712no—
329C2×#484—711no—
330C2×#484—711no—
331C2×#467—712no—
332C2×#467—712no—
333C2×#451—711no—
334C2×#451—712no—
335C2×#451D7111yescharacteristic, complemented
336C22×C22⋊C8—711no—
337C71C2×#318911yescharacteristic, complemented, Sylow
338C23×Q8—711no—
339C23×Q8C2×D7111yescharacteristic
340C24×C4—711no—
341C22×Q16—712no—
342C22×Q16C2×D7112yescomplemented
343C23×C8—712no—
344C2×C22⋊Q8—712no—
345C2×C22⋊Q8—718no—
346C2×C22⋊Q8—712no—
347C2×C22⋊Q8—711no—
348C2×C22⋊Q8—711no—
349C2×C22⋊Q8—718no—
350C2×C22⋊Q8—711no—
351C2×C22⋊Q8—1421no—
352C2×C22⋊Q8—1421no—
353C2×C22⋊Q8—1424no—
354C2×C22⋊Q8—1421no—
355C2×C22⋊Q8—1424no—
356C2×C22⋊Q8—1421no—
357C2×C22⋊Q8C2×D7111yescharacteristic
358C22×C4⋊C4—711no—
359C22×C4⋊C4—711no—
360C22×C4⋊C4—1421no—
361C22×C4⋊C4—1421no—
362C22×C22⋊C4—1421no—
363C22×C22⋊C4—1421no—
364#484—718no—
365#484—7116no—
366#484—718no—
367#467—7116no—
368#467—7116no—
369#451—718no—
370#451—7116no—
371#451C2×D7118yescomplemented
372C2×#107—712no—
373C2×#107—712no—
374C2×#103—712no—
375C2×#103—712no—
376C2×#103—712no—
377C2×#103C2×D7112yescomplemented
378C2×C22⋊C8—711no—
379C2×C22⋊C8—712no—
380C2×C22⋊C8—718no—
381C2×C22⋊C8C2×D7111yescharacteristic
382C25—711no—
383C22×Q8—22no—
384C22×Q8—21no—
385C22×Q8—44no—
386C22×Q8—2844no—
387C22×Q8—714no—
388C22×Q8—711no—
389C22×Q8—1421no—
390C22×Q8—1422no—
391C22×Q8C22×D7112yes—
392C22×Q8C22×D7111yescharacteristic
393C22×Q8C22×D7114yes—
394C23×C4—21no—
395C23×C4—2844no—
396C23×C4—711no—
397C23×C4—711no—
398C23×C4—711no—
399C23×C4—714no—
400C23×C4—714no—
401C23×C4—711no—
402C23×C4—711no—
403C23×C4—1421no—
404C23×C4—1421no—
405C23×C4—1421no—
406C23×C4C22×D7111yescharacteristic
407C2×Q16—44no—
408C2×Q16—2844no—
409C2×Q16—718no—
410C2×Q16C22×D7118yescomplemented
411C22×C8—2844no—
412C22×C8—718no—
413C22×C8—712no—
414C22×C8C22×D7112yes—
415C22⋊Q8—22no—
416C22⋊Q8—718no—
417C22⋊Q8—714no—
418C22⋊Q8—718no—
419C22⋊Q8—714no—
420C22⋊Q8—714no—
421C22⋊Q8—1428no—
422C22⋊Q8—1428no—
423C22⋊Q8—1422no—
424C22⋊Q8—1428no—
425C22⋊Q8—1428no—
426C22⋊Q8—1424no—
427C22⋊Q8—1422no—
428C22⋊Q8—1424no—
429C22⋊Q8—1422no—
430C22⋊Q8C22×D7114yes—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—712no—
433C2×C4⋊C4—711no—
434C2×C4⋊C4—714no—
435C2×C4⋊C4—714no—
436C2×C4⋊C4—1422no—
437C2×C4⋊C4—1428no—
438C2×C4⋊C4—1421no—
439C2×C4⋊C4—1428no—
440C2×C4⋊C4—1421no—
441C2×C4⋊C4—1422no—
442C2×C4⋊C4—1422no—
443C2×C4⋊C4—1421no—
444C2×C4⋊C4—1422no—
445C2×C4⋊C4—1421no—
446C2×C4⋊C4—1421no—
447C2×C4⋊C4C22×D7111yescharacteristic
448C2×C22⋊C4—21no—
449C2×C22⋊C4—1428no—
450C2×C22⋊C4—1428no—
451C2×C22⋊C4—1421no—
452C2×C22⋊C4—1421no—
453C2×C22⋊C4—1422no—
454C2×C22⋊C4—1422no—
455C2×C22⋊C4—1421no—
456#107—718no—
457#107—718no—
458#103—718no—
459#103—718no—
460#103—718no—
461#103C22×D7118yescomplemented
462C22⋊C8—714no—
463C22⋊C8—718no—
464C22⋊C8C22×D7114yes—
465C24—2842no—
466C24—2842no—
467C24—714no—
468C24—718no—
469C24—711no—
470C24—711no—
471C24D4×D7111yescharacteristic
472C2×Q8—21no—
473C2×Q8—24no—
474C2×Q8—22no—
475C2×Q8—24no—
476C2×Q8—24no—
477C2×Q8—24no—
478C2×Q8—48no—
479C2×Q8—44no—
480C2×Q8—48no—
481C2×Q8—2844no—
482C2×Q8—2848no—
483C2×Q8—2848no—
484C2×Q8—712no—
485C2×Q8—1424no—
486C2×Q8—1424no—
487C2×Q8—1421no—
488C2×Q8C23×D7112yes—
489C2×Q8C23×D7114yes—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—44no—
496C22×C4—2842no—
497C22×C4—2842no—
498C22×C4—2848no—
499C22×C4—2848no—
500C22×C4—2844no—
501C22×C4—2844no—
502C22×C4—2844no—
503C22×C4—2842no—
504C22×C4—714no—
505C22×C4—714no—
506C22×C4—714no—
507C22×C4—711no—
508C22×C4—711no—
509C22×C4—712no—
510C22×C4—712no—
511C22×C4—712no—
512C22×C4—712no—
513C22×C4—1424no—
514C22×C4—1424no—
515C22×C4—1424no—
516C22×C4—1421no—
517C22×C4—1422no—
518C22×C4—1421no—
519C22×C4—1424no—
520C22×C4—1424no—
521C22×C4D4×D7112yes—
522C22×C4D4×D7111yescharacteristic
523C22×C4C23×D7112yes—
524C22×C4C23×D7111yescharacteristic
525Q16—48no—
526Q16—2848no—
527C2×C8—24no—
528C2×C8—2848no—
529C2×C8—714no—
530C2×C8—1424no—
531C2×C8C23×D7114yes—
532C4⋊C4—24no—
533C4⋊C4—21no—
534C4⋊C4—712no—
535C4⋊C4—714no—
536C4⋊C4—1424no—
537C4⋊C4—1424no—
538C4⋊C4—1428no—
539C4⋊C4—1428no—
540C4⋊C4—1424no—
541C4⋊C4—1424no—
542C4⋊C4—1424no—
543C4⋊C4—1421no—
544C4⋊C4—1422no—
545C4⋊C4C23×D7112yes—
546C22⋊C4—24no—
547C22⋊C4—1424no—
548C22⋊C4—1424no—
549C22⋊C4—1428no—
550C22⋊C4—1428no—
551C22⋊C4—1424no—
552C23—22no—
553C23—22no—
554C23—2844no—
555C23—2844no—
556C23—28416no—
557C23—7116no—
558C23—712no—
559C23—712no—
560C23—714no—
561C23—714no—
562C23—1422no—
563C23—1422no—
564C23—1422no—
565C23—1422no—
566C23Q16×D7114yes—
567C23C2×D4×D7112yes—
568C23C2×D4×D7111yescharacteristic
569Q8—24no—
570Q8—24no—
571Q8—24no—
572Q8—48no—
573Q8—44no—
574Q8—42no—
575Q8—2848no—
576Q8—2842no—
577Q8—1424no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—48no—
585C2×C4—42no—
586C2×C4—44no—
587C2×C4—42no—
588C2×C4—2844no—
589C2×C4—2844no—
590C2×C4—2848no—
591C2×C4—2848no—
592C2×C4—2848no—
593C2×C4—2842no—
594C2×C4—2844no—
595C2×C4—2842no—
596C2×C4—2844no—
597C2×C4—712no—
598C2×C4—712no—
599C2×C4—1424no—
600C2×C4—1422no—
601C2×C4—1422no—
602C2×C4—1422no—
603C2×C4—1422no—
604C2×C4—1424no—
605C2×C4—1424no—
606C2×C4—1424no—
607C2×C4—1424no—
608C2×C4C2×D4×D7112yes—
609C2×C4C2×D4×D7111yescharacteristic
610C2×C4#1455617314yes—
611C2×C4C24×D7111yescharacteristic
612C8—24no—
613C8—1424no—
614C22—22no—
615C22—22no—
616C22—28no—
617C22—28416no—
618C22—714no—
619C22—714no—
620C22—1422no—
621C22—1422no—
622C22—1422no—
623C22—1422no—
624C22—1428no—
625C22—1428no—
626C22#1798655912yes—
627C22C2×Q16×D7114yes—
628C22C2×Q16×D7112yes—
629C22#1798679812yes—
630C22C22×D4×D7111yescharacteristic
631C4—22no—
632C4—42no—
633C4—44no—
634C4—42no—
635C4—2842no—
636C4—2844no—
637C4—2842no—
638C4—1422no—
639C4—1422no—
640C4#1798655912yes—
641C4C2×#1455617312yes—
642C2—24no—
643C2—1424no—
644C2—1424no—
645C2#2259911314yesdirect product factor
646C2C2×#1798655911yescharacteristic
647C2C22×Q16×D7111yescharacteristic
648C2C2×#1798679811yescharacteristic
subgroupG/H
centerC23C2×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC2×#451×C71C2
socleC23×C71C22×D4
prime radicalC24×D71D4
hypercenterC2×#451D71
hypocenterC71C2×#3189
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#451

Complements

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

NH ≅ G/Ntype
3. #22599113C2direct (N × H)
4. C2×#17986335C2semidirect
5. C2×#17986333C2semidirect
6. C2×#17986332C2semidirect
7. C2×#17986239C2semidirect
8. C2×#17986237C2semidirect
9. C2×#17986155C2semidirect
10. C2×#17986153C2semidirect
12. C2×#451×C71C2semidirect
15. C22×#11765855C22semidirect
36. #17986335C22semidirect
37. #17986333C22semidirect
38. #17986332C22semidirect
39. #17986239C22semidirect
40. #17986237C22semidirect
41. #17986155C22semidirect
42. #17986153C22semidirect
43. C2×#14556062C22semidirect
44. C2×#14556061C22semidirect
45. C2×#14556053C22semidirect
46. C2×#14556052C22semidirect
47. C2×#14556052C22semidirect
52. C22×Q16×C71C22semidirect
54. #451×C71C22semidirect
55. C2×#103×C71C22semidirect
75. C2×#11765855C23semidirect
115. #14556062C23semidirect
116. #14556061C23semidirect
117. #14556053C23semidirect
118. #14556052C23semidirect
119. #14556052C23semidirect
131. C2×Q16×C71C23semidirect
138. #103×C71C23semidirect
142. C23×D71Q16semidirect
241. C22×D71C2×Q16semidirect
319. C2×C71#3189semidirect
335. C2×#451D71semidirect
337. C71C2×#3189semidirect
342. C22×Q16C2×D71semidirect
371. #451C2×D71semidirect
377. C2×#103C2×D71semidirect
410. C2×Q16C22×D71semidirect
461. #103C22×D71semidirect
645. C2#22599113direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145561042
C2×C22⋊Q8×D712
#225991132
C2×#179863352
C2×#179863332
C2×#179863322
C2×#179862392
C2×#179862372
C2×#179861552
C2×#179861532
C2×C22⋊C8×D712
C2×#451×C712
C2×#318971