Finite Group Databasebeta

← C2×#11742946 #14262061

Subgroups — C2×#11742946 #14262061

Order 1792.

7118 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#519C211yesmaximal, characteristic, complemented
2C2×#90508C211yesmaximal, characteristic, complemented
3C2×Q8×C22⋊D7C211yesmaximal, characteristic, complemented
4#11742946C2132yesmaximal, direct product factor
5C2×#90267C211yesmaximal, characteristic, complemented
6C2×#90273C213yesmaximal, complemented
7C2×#90269C213yesmaximal, complemented
8C2×#90263C211yesmaximal, characteristic, complemented
9C2×Q8×Dic14C211yesmaximal, characteristic, complemented
10C2×#90259C213yesmaximal, complemented
11C2×#90275C213yesmaximal, complemented
12C2×C4×#1161C211yesmaximal, characteristic, complemented
13C2×#90224C213yesmaximal, complemented
14C2×#90223C213yesmaximal, complemented
15C2×#90225C213yesmaximal, complemented
16C2×#90219C213yesmaximal, complemented
17C23×C7×Q8C2211yescharacteristic
18C22×#1161C2211yescharacteristic
19C22×Q8×D7C2211yescharacteristic
20C7×#519C22116yescomplemented
21C2×C4×C7×Q8C2211yescharacteristic
22C2×C4×C7×Q8C2213yes—
23C2×C4×C7×Q8C2211yescharacteristic
24C2×C4×C7×Q8C2213yes—
25C2×C7×#117C2213yes—
26C2×C7×#117C2213yes—
27#90508C22116yescomplemented
28Q8×C22⋊D7C22116yescomplemented
29C2×#6510C2213yes—
30C2×#6509C2213yes—
31C2×#6509C2213yes—
32C2×Q8×Dic7C2211yescharacteristic
33C2×Q8×Dic7C2211yescharacteristic
34C2×#6507C2213yes—
35C2×#6493C2213yes—
36C2×C4×C22⋊D7C2213yes—
37C2×C4×C22⋊D7C2213yes—
38C2×#6487C2213yes—
39#90275C22148yescomplemented
40#90273C22148yescomplemented
41#90269C22148yescomplemented
42#90267C22116yescomplemented
43C4×#1161C22116yescomplemented
44#90263C22116yescomplemented
45#90259C22148yescomplemented
46Q8×Dic14C22116yescomplemented
47#90225C22148yescomplemented
48#90224C22148yescomplemented
49#90223C22148yescomplemented
50#90219C22148yescomplemented
51C2×#6461C2213yes—
52C2×#6461C2216yes—
53C2×#6460C2213yes—
54C2×#6459C2213yes—
55C2×#6459C2216yes—
56C2×#6458C2213yes—
57C2×#6457C2213yes—
58C2×#6456C2213yes—
59C2×#6455C2213yes—
60C2×#6455C2213yes—
61C2×#6452C2213yes—
62C2×#6451C2213yes—
63C2×#6451C2213yes—
64C2×#6450C2213yes—
65C2×#6448C2211yescharacteristic
66C2×#6448C2216yes—
67C2×#6447C2213yes—
68C2×#6446C2213yes—
69C2×#6442C2213yes—
70C2×#6439C2216yes—
71C2×#6438C2213yes—
72C2×#6438C2216yes—
73C2×C4×D28C2213yes—
74C2×C4×D28C2213yes—
75C2×#6435C2213yes—
76C2×#6435C2216yes—
77C2×C42×D7C2213yes—
78C2×#6432C2213yes—
79C2×C4×Dic14C2213yes—
80C2×C4×Dic14C2213yes—
81C2×C4×Dic14C2216yes—
82C2×#3518—71nomaximal, Sylow
83C22×C7×Q8—28no—
84C22×C7×Q8C2313yes—
85C22×C7×Q8C2318yes—
86C22×C7×Q8C2311yescharacteristic
87C23×C4×C7C2313yes—
88C22×C22⋊D7C2311yescharacteristic
89C22×C22⋊D7C2313yes—
90C2×#1161—28no—
91C2×#1161C2318yes—
92C2×Q8×D7—28no—
93C2×Q8×D7C2318yes—
94C22×D28C2313yes—
95C22×D28C2313yes—
96C22×C4×D7C2313yes—
97C22×C4×D7C2313yes—
98C22×C4×D7C2313yes—
99C22×C4×D7C2313yes—
100C22×Dic14C2311yescharacteristic
101C22×Dic14C2313yes—
102C22×Dic14C2316yes—
103C4×C7×Q8C2318yes—
104C4×C7×Q8C23124yes—
105C4×C7×Q8C2318yes—
106C4×C7×Q8C23124yes—
107C7×#117C23124yes—
108C7×#117C23124yes—
109C2×C7×C4⋊C4C2313yes—
110C2×C7×C4⋊C4C2313yes—
111C2×C7×C4⋊C4C2313yes—
112C2×C7×C4⋊C4C2313yes—
113C2×C7×C22⋊C4C2313yes—
114C2×C7×C22⋊C4C2311yescharacteristic
115C2×C42×C7C2313yes—
116C2×C42×C7C2313yes—
117C2×C42×C7C2316yes—
118C2×C22⋊Dic7C2311yescharacteristic
119C2×C22⋊Dic7C2313yes—
120#6510C23124yes—
121#6509C23124yes—
122#6509C23124yes—
123Q8×Dic7C2318yes—
124Q8×Dic7C2318yes—
125#6507C23124yes—
126#6493C23124yes—
127C4×C22⋊D7C23124yes—
128C4×C22⋊D7C23124yes—
129C2×(C2×D7)⋊C4C2311yescharacteristic
130C2×(C2×D7)⋊C4C2313yes—
131C2×(C2×D7)⋊C4C2316yes—
132C2×(C2×D7)⋊C4C2316yes—
133C2×(C2×D7)⋊C4C2311yescharacteristic
134C2×(C2×D7)⋊C4C2313yes—
135C2×(C2×D7)⋊C4C2316yes—
136C2×(C2×D7)⋊C4C2313yes—
137C2×(C2×D7)⋊C4C2313yes—
138C2×C4⋊Dic7C2313yes—
139C2×C4⋊Dic7C2313yes—
140C2×C4⋊Dic7C2313yes—
141C2×C4⋊Dic7C2313yes—
142#6487C23124yes—
143C2×Dic7⋊C4C2313yes—
144C2×Dic7⋊C4C2313yes—
145C2×Dic7⋊C4C2313yes—
146C2×Dic7⋊C4C2313yes—
147C2×Dic7⋊C4C2316yes—
148C2×Dic7⋊C4C2313yes—
149C2×Dic7⋊C4C2313yes—
150C2×C4×Dic7C2313yes—
151C2×C4×Dic7C2316yes—
152C2×C4×Dic7C2313yes—
153C2×C4×Dic7C2313yes—
154C2×C4×Dic7C2311yescharacteristic
155#6461C23124yes—
156#6461C23148yes—
157#6460C23124yes—
158#6459C23124yes—
159#6459C23148yes—
160#6458C23124yes—
161#6457C23124yes—
162#6456C23124yes—
163#6455C23124yes—
164#6455C23124yes—
165#6452C23124yes—
166#6451C23124yes—
167#6451C23124yes—
168#6450C23124yes—
169#6448C2318yes—
170#6448C23148yes—
171#6447C23124yes—
172#6446C23124yes—
173#6442C23124yes—
174#6439C23148yes—
175#6438C23148yes—
176#6438C23124yes—
177C4×D28C23124yes—
178C4×D28C23124yes—
179#6435C23124yes—
180#6435C23148yes—
181C42×D7C23124yes—
182#6432C23124yes—
183C4×Dic14C23124yes—
184C4×Dic14C23148yes—
185C4×Dic14C23124yes—
186#3518—732no—
187C2×Q82—71no—
188C2×#556—73no—
189C2×#556—73no—
190C2×#556—73no—
191C2×#555—73no—
192C2×D4×Q8—71no—
193C2×#548—71no—
194C2×#548—71no—
195C2×#542—73no—
196C2×#542—73no—
197C2×#533—73no—
198C2×#529—73no—
199C2×#519—71no—
200C2×#519D711yescharacteristic, complemented
201C2×C4×#41—71no—
202C24×C7C2411yescharacteristic
203C23×D7C2411yescharacteristic
204C23×D7C2413yes—
205C2×C7×Q8—232no—
206C2×C7×Q8—212no—
207C2×C7×Q8#4118yes—
208C2×C7×Q8C24112yes—
209C2×C7×Q8C2414yes—
210C22×C4×C7—212no—
211C22×C4×C7C2413yes—
212C22×C4×C7C2411yescharacteristic
213C22×C4×C7C2413yes—
214C22×C4×C7C2413yes—
215C22×C4×C7C24112yes—
216C22×C4×C7C2411yescharacteristic
217C22×C4×C7C2413yes—
218C2×C22⋊D7—24no—
219C2×C22⋊D7—46no—
220C2×C22⋊D7C2414yes—
221C2×C22⋊D7C24112yes—
222C22×Dic7C2411yescharacteristic
223C22×Dic7C2411yescharacteristic
224C22×Dic7C2413yes—
225C22×Dic7C2413yes—
226C22×Dic7C2413yes—
227C22×Dic7C2411yescharacteristic
228#1161—232no—
229Q8×D7—232no—
230C2×D28—212no—
231C2×D28—46no—
232C2×D28C24112yes—
233C2×D28C24112yes—
234C2×C4×D7—212no—
235C2×C4×D7—212no—
236C2×C4×D7—212no—
237C2×C4×D7—46no—
238C2×C4×D7C24112yes—
239C2×C4×D7C24112yes—
240C2×C4×D7C24112yes—
241C2×C4×D7C24112yes—
242C2×Dic14—212no—
243C2×Dic14—24no—
244C2×Dic14—412no—
245C2×Dic14C2414yes—
246C2×Dic14C24112yes—
247C2×Dic14C24124yes—
248C7×C4⋊C4C24112yes—
249C7×C4⋊C4C24112yes—
250C7×C4⋊C4C24112yes—
251C7×C4⋊C4C24112yes—
252C7×C22⋊C4C24112yes—
253C7×C22⋊C4C2414yes—
254C42×C7C24112yes—
255C42×C7C24112yes—
256C42×C7C24124yes—
257C22⋊Dic7C2414yes—
258C22⋊Dic7C24112yes—
259(C2×D7)⋊C4C2414yes—
260(C2×D7)⋊C4C24112yes—
261(C2×D7)⋊C4C24124yes—
262(C2×D7)⋊C4C24124yes—
263(C2×D7)⋊C4C2414yes—
264(C2×D7)⋊C4C24112yes—
265(C2×D7)⋊C4C24124yes—
266(C2×D7)⋊C4C24112yes—
267(C2×D7)⋊C4C24112yes—
268C4⋊Dic7C24112yes—
269C4⋊Dic7C24112yes—
270C4⋊Dic7C24112yes—
271C4⋊Dic7C24112yes—
272Dic7⋊C4C24112yes—
273Dic7⋊C4C24112yes—
274Dic7⋊C4C24112yes—
275Dic7⋊C4C24112yes—
276Dic7⋊C4C24124yes—
277Dic7⋊C4C24112yes—
278Dic7⋊C4C24112yes—
279C4×Dic7C24112yes—
280C4×Dic7C24124yes—
281C4×Dic7C24112yes—
282C4×Dic7C24112yes—
283C4×Dic7C2414yes—
284C22×#41—71no—
285C23×Q8—71no—
286C23×Q8C2×D711yescharacteristic
287Q82—716no—
288#556—748no—
289#556—748no—
290#556—748no—
291#555—748no—
292D4×Q8—716no—
293#548—716no—
294#548—716no—
295#542—748no—
296#542—748no—
297#533—748no—
298C2×C4⋊Q8—73no—
299C2×C4⋊Q8—73no—
300C2×C4⋊Q8—73no—
301C2×C4⋊Q8—73no—
302#529—748no—
303C2×#126—73no—
304C2×#126—76no—
305C2×#126—73no—
306C2×#126—76no—
307C2×#125—73no—
308C2×#124—73no—
309C2×#124—71no—
310C2×#124—76no—
311C2×#124—73no—
312C2×#124—76no—
313C2×#123—73no—
314C2×#123—73no—
315C2×C22⋊Q8—73no—
316C2×C22⋊Q8—73no—
317C2×C22⋊Q8—73no—
318C2×C22⋊Q8—73no—
319C2×C22⋊Q8—76no—
320C2×C22⋊Q8—73no—
321C2×#121—73no—
322C2×#121—73no—
323C2×#121—73no—
324#519—716no—
325#519C2×D7116yescomplemented
326C4×#41—716no—
327C2×C4×Q8—71no—
328C2×C4×Q8—71no—
329C2×C4×Q8—73no—
330C2×C4×Q8—73no—
331C2×C4×Q8—73no—
332C2×C4×Q8—76no—
333C2×C4×Q8C2×D711yescharacteristic
334C2×C4×Q8C2×D713yes—
335C2×C4×Q8C2×D711yescharacteristic
336C2×C4×Q8C2×D713yes—
337C2×C4×D4—73no—
338C2×C4×D4—73no—
339C2×C4×D4—73no—
340C2×C4×D4—73no—
341C2×C4×D4—73no—
342C2×#117—73no—
343C2×#117—73no—
344C2×#117—73no—
345C2×#117—76no—
346C2×#117C2×D713yes—
347C2×#117C2×D713yes—
348C22×C42—73no—
349C23×C7—22no—
350C23×C7—22no—
351C23×C7—22no—
352C23×C7C2512yes—
353C23×C7C2511yescharacteristic
354C22×D7—22no—
355C22×D7—26no—
356C22×D7—26no—
357C22×D7—22no—
358C22×D7—26no—
359C22×D7—22no—
360C22×D7C2512yes—
361C22×D7C2516yes—
362C7×Q8—224no—
363C7×Q8C2×#41116yes—
364C2×C4×C7—26no—
365C2×C4×C7—22no—
366C2×C4×C7—26no—
367C2×C4×C7—26no—
368C2×C4×C7—22no—
369C2×C4×C7—224no—
370C2×C4×C7C2×#41112yes—
371C2×C4×C7C2516yes—
372C2×C4×C7C2512yes—
373C2×C4×C7C2516yes—
374C2×C4×C7C2516yes—
375C2×C4×C7C2512yes—
376C2×C4×C7C2516yes—
377C22⋊D7—28no—
378C22⋊D7—412no—
379C2×Dic7—26no—
380C2×Dic7—22no—
381C2×Dic7—22no—
382C2×Dic7—26no—
383C2×Dic7—26no—
384C2×Dic72−1+414yes—
385C2×Dic7C2512yes—
386C2×Dic7C2512yes—
387C2×Dic7C2516yes—
388C2×Dic7C2516yes—
389C2×Dic7C2516yes—
390C2×Dic7C2512yes—
391D28—224no—
392D28—412no—
393C4×D7—224no—
394C4×D7—224no—
395C4×D7—224no—
396C4×D7—412no—
397Dic14—224no—
398Dic14—28no—
399Dic14—424no—
400C2×#41—78no—
401C2×#41—148no—
402C22×Q8—28no—
403C22×Q8—78no—
404C22×Q8—71no—
405C22×Q8—73no—
406C22×Q8—76no—
407C22×Q8—148no—
408C22×Q8C22×D713yes—
409C22×Q8C22×D718yes—
410C22×Q8C22×D711yescharacteristic
411C22×D4—71no—
412C22×D4—73no—
413C22×D4—73no—
414C22×D4—73no—
415C23×C4—73no—
416C23×C4—73no—
417C23×C4—73no—
418C23×C4—73no—
419C23×C4C22×D713yes—
420C4⋊Q8—724no—
421C4⋊Q8—724no—
422C4⋊Q8—724no—
423C4⋊Q8—724no—
424#126—724no—
425#126—748no—
426#126—724no—
427#126—748no—
428#125—724no—
429#124—724no—
430#124—78no—
431#124—748no—
432#124—724no—
433#124—748no—
434#123—724no—
435#123—724no—
436C22⋊Q8—724no—
437C22⋊Q8—724no—
438C22⋊Q8—724no—
439C22⋊Q8—724no—
440C22⋊Q8—748no—
441C22⋊Q8—724no—
442#121—724no—
443#121—724no—
444#121—724no—
445C4×Q8—78no—
446C4×Q8—78no—
447C4×Q8—724no—
448C4×Q8—724no—
449C4×Q8—724no—
450C4×Q8—748no—
451C4×Q8C22×D718yes—
452C4×Q8C22×D7124yes—
453C4×Q8C22×D718yes—
454C4×Q8C22×D7124yes—
455C4×D4—724no—
456C4×D4—724no—
457C4×D4—724no—
458C4×D4—724no—
459C4×D4—724no—
460#117—724no—
461#117—724no—
462#117—724no—
463#117—748no—
464#117C22×D7124yes—
465#117C22×D7124yes—
466C2×C4⋊C4—73no—
467C2×C4⋊C4—73no—
468C2×C4⋊C4—73no—
469C2×C4⋊C4—73no—
470C2×C4⋊C4—73no—
471C2×C4⋊C4—73no—
472C2×C4⋊C4—73no—
473C2×C4⋊C4—73no—
474C2×C4⋊C4—76no—
475C2×C4⋊C4—73no—
476C2×C4⋊C4—73no—
477C2×C4⋊C4C22×D713yes—
478C2×C4⋊C4C22×D713yes—
479C2×C4⋊C4C22×D713yes—
480C2×C4⋊C4C22×D713yes—
481C2×C22⋊C4—71no—
482C2×C22⋊C4—73no—
483C2×C22⋊C4—73no—
484C2×C22⋊C4—71no—
485C2×C22⋊C4—76no—
486C2×C22⋊C4—76no—
487C2×C22⋊C4—76no—
488C2×C22⋊C4—71no—
489C2×C22⋊C4—73no—
490C2×C22⋊C4—73no—
491C2×C22⋊C4—73no—
492C2×C22⋊C4C22×D713yes—
493C2×C22⋊C4C22×D711yescharacteristic
494C2×C42—76no—
495C2×C42—73no—
496C2×C42—73no—
497C2×C42—73no—
498C2×C42—71no—
499C2×C42—724no—
500C2×C42C22×D713yes—
501C2×C42C22×D716yes—
502C2×C42C22×D713yes—
503C22×C7—22no—
504C22×C7—22no—
505C22×C7—22no—
506C22×C7—44no—
507C22×C7C22×#4112yes—
508C22×C7C2×2−1+412yes—
509C22×C7#58512yes—
510C22×C7C2611yescharacteristic
511C2×D7—22no—
512C2×D7—26no—
513C2×D7—26no—
514C2×D7—22no—
515C2×D7—26no—
516C2×D7—22no—
517C2×D7—44no—
518C2×D7—412no—
519C4×C7—26no—
520C4×C7—22no—
521C4×C7—26no—
522C4×C7—26no—
523C4×C7—22no—
524C4×C7C22×#41112yes—
525Dic7—26no—
526Dic7—22no—
527Dic7—22no—
528Dic7—26no—
529Dic7—26no—
530Dic7C2×2−1+414yes—
531C24—71no—
532C24—73no—
533C24C23×D711yescharacteristic
534#41—1432no—
535C2×Q8—232no—
536C2×Q8—212no—
537C2×Q8—74no—
538C2×Q8—712no—
539C2×Q8—724no—
540C2×Q8—144no—
541C2×Q8—1432no—
542C2×Q8—1412no—
543C2×Q8—2812no—
544C2×Q8#115718yes—
545C2×Q8C23×D7112yes—
546C2×Q8C23×D714yes—
547C2×D4—74no—
548C2×D4—712no—
549C2×D4—712no—
550C2×D4—712no—
551C2×D4—144no—
552C2×D4—1412no—
553C2×D4—286no—
554C2×D4—286no—
555C22×C4—212no—
556C22×C4—71no—
557C22×C4—71no—
558C22×C4—71no—
559C22×C4—73no—
560C22×C4—73no—
561C22×C4—73no—
562C22×C4—712no—
563C22×C4—712no—
564C22×C4—712no—
565C22×C4—712no—
566C22×C4—1412no—
567C22×C4—1412no—
568C22×C4—1412no—
569C22×C4—286no—
570C22×C4C23×D7112yes—
571C22×C4C23×D713yes—
572C22×C4C23×D711yescharacteristic
573C22×C4C23×D711yescharacteristic
574C22×C4C23×D713yes—
575C22×C4C23×D713yes—
576C22×C4C23×D713yes—
577C4⋊C4—712no—
578C4⋊C4—712no—
579C4⋊C4—712no—
580C4⋊C4—712no—
581C4⋊C4—712no—
582C4⋊C4—724no—
583C4⋊C4—712no—
584C4⋊C4—712no—
585C4⋊C4—712no—
586C4⋊C4—712no—
587C4⋊C4—712no—
588C4⋊C4C23×D7112yes—
589C4⋊C4C23×D7112yes—
590C4⋊C4C23×D7112yes—
591C4⋊C4C23×D7112yes—
592C22⋊C4—74no—
593C22⋊C4—712no—
594C22⋊C4—712no—
595C22⋊C4—74no—
596C22⋊C4—724no—
597C22⋊C4—724no—
598C22⋊C4—724no—
599C22⋊C4—74no—
600C22⋊C4—712no—
601C22⋊C4—712no—
602C22⋊C4—712no—
603C22⋊C4C23×D7112yes—
604C22⋊C4C23×D714yes—
605C42—74no—
606C42—712no—
607C42—712no—
608C42—724no—
609C42—712no—
610C42C23×D7112yes—
611C42C23×D7124yes—
612C42C23×D7112yes—
613C2×C7—42no—
614C2×C7#351814yescomplemented
615C2×C7C23×#4111yescharacteristic
616C2×C7C22×2−1+411yescharacteristic
617C2×C7C2×#58511yescharacteristic
618D7—42no—
619D7—46no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—72no—
624C23—76no—
625C23—142no—
626C23—146no—
627C23—146no—
628C23—142no—
629C23—146no—
630C23—142no—
631C23C24×D712yes—
632C23C24×D711yescharacteristic
633Q8—224no—
634Q8—148no—
635Q8—1424no—
636Q8—2824no—
637Q8C2×#1157116yes—
638D4—148no—
639D4—1424no—
640D4—2812no—
641D4—2812no—
642C2×C4—26no—
643C2×C4—26no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—26no—
647C2×C4—224no—
648C2×C4—72no—
649C2×C4—74no—
650C2×C4—72no—
651C2×C4—72no—
652C2×C4—76no—
653C2×C4—76no—
654C2×C4—76no—
655C2×C4—1424no—
656C2×C4—142no—
657C2×C4—146no—
658C2×C4—142no—
659C2×C4—146no—
660C2×C4—146no—
661C2×C4—1424no—
662C2×C4—1424no—
663C2×C4—2812no—
664C2×C4C2×#1157112yes—
665C2×C4C24×D716yes—
666C2×C4C24×D712yes—
667C2×C4C24×D712yes—
668C2×C4C24×D716yes—
669C2×C4C24×D716yes—
670C2×C4C24×D716yes—
671C7C2×#351811yescharacteristic, complemented, Sylow
672C22—22no—
673C22—22no—
674C22—22no—
675C22—44no—
676C22—142no—
677C22—146no—
678C22—146no—
679C22—142no—
680C22—146no—
681C22—142no—
682C22—284no—
683C22—2812no—
684C22C22×#115712yes—
685C22D7×2−1+412yes—
686C22#9062012yes—
687C22C25×D711yescharacteristic
688C4—26no—
689C4—22no—
690C4—26no—
691C4—26no—
692C4—22no—
693C4—74no—
694C4—142no—
695C4—146no—
696C4—146no—
697C4—146no—
698C4—142no—
699C4C22×#1157112yes—
700C2—42no—
701C2—282no—
702C2—286no—
703C2#1174294614yesdirect product factor
704C2C23×#115711yescharacteristic
705C2C2×#9062011yescharacteristic
706C2C2×D7×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D7
commutator, cosocleC22×C7C26
FrattiniC22C25×D7
FittingC2×C7×#519C2
socleC23×C7C25
hypercenterC2×#519D7
hypocenterC7C2×#3518
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×#519

Complements

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

NH ≅ G/Ntype
1. C2×C7×#519C2semidirect
2. C2×#90508C2semidirect
3. C2×Q8×C22⋊D7C2semidirect
4. #11742946C2direct (N × H)
5. C2×#90267C2semidirect
6. C2×#90273C2semidirect
7. C2×#90269C2semidirect
8. C2×#90263C2semidirect
9. C2×Q8×Dic14C2semidirect
10. C2×#90259C2semidirect
11. C2×#90275C2semidirect
12. C2×C4×#1161C2semidirect
13. C2×#90224C2semidirect
14. C2×#90223C2semidirect
15. C2×#90225C2semidirect
16. C2×#90219C2semidirect
20. C7×#519C22semidirect
27. #90508C22semidirect
28. Q8×C22⋊D7C22semidirect
39. #90275C22semidirect
40. #90273C22semidirect
41. #90269C22semidirect
42. #90267C22semidirect
43. C4×#1161C22semidirect
44. #90263C22semidirect
45. #90259C22semidirect
46. Q8×Dic14C22semidirect
47. #90225C22semidirect
48. #90224C22semidirect
49. #90223C22semidirect
50. #90219C22semidirect
200. C2×#519D7semidirect
325. #519C2×D7semidirect
614. C2×C7#3518semidirect
671. C7C2×#3518semidirect
703. C2#11742946direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#5192
C2×#905082
C2×Q8×C22⋊D72
#117429462
C2×#902672
C2×#902732
C2×#902692
C2×#902632
C2×Q8×Dic142
C2×#902592
C2×#902752
C2×C4×#11612
C2×#902242
C2×#902232
C2×#902252
C2×#902192
C2×#35187