Finite Group Databasebeta

← C2×#11744094 #14262081

Subgroups — C2×#11744094 #14262081

Order 1792.

7226 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#557C211yesmaximal, characteristic, complemented
2#11744094C2132yesmaximal, direct product factor
3C2×#90424C213yesmaximal, complemented
4C2×#90425C213yesmaximal, complemented
5C2×#90386C213yesmaximal, complemented
6C2×#90385C213yesmaximal, complemented
7C2×#90389C213yesmaximal, complemented
8C2×#90382C213yesmaximal, complemented
9C2×#90267C211yesmaximal, characteristic, complemented
10C2×#90267C211yesmaximal, characteristic, complemented
11C2×#90271C213yesmaximal, complemented
12C2×#90263C211yesmaximal, characteristic, complemented
13C2×#90276C213yesmaximal, complemented
14C2×#90268C211yesmaximal, characteristic, complemented
15C2×#90265C211yesmaximal, characteristic, complemented
16C2×C4×#1161C211yesmaximal, characteristic, complemented
17C22×#1161C2211yescharacteristic
18C22×#1161C2211yescharacteristic
19C22×Q8×D7C2211yescharacteristic
20C7×#557C22116yescomplemented
21C2×C7×C4⋊Q8C2213yes—
22C2×C7×#125C2213yes—
23C2×C7×#125C2213yes—
24C2×C4×C7×Q8C2211yescharacteristic
25C2×C4×C7×Q8C2211yescharacteristic
26C2×C4×C7×Q8C2211yescharacteristic
27C2×C4×C7×Q8C2213yes—
28C2×#6510C2213yes—
29C2×#6510C2216yes—
30C2×#6509C2213yes—
31C2×Q8×Dic7C2211yescharacteristic
32#90425C22148yescomplemented
33#90424C22148yescomplemented
34#90389C22148yescomplemented
35#90386C22148yescomplemented
36#90385C22148yescomplemented
37#90382C22148yescomplemented
38#90276C22148yescomplemented
39#90271C22148yescomplemented
40#90268C22116yescomplemented
41#90267C22116yescomplemented
42#90267C22116yescomplemented
43#90265C22116yescomplemented
44C4×#1161C22116yescomplemented
45#90263C22116yescomplemented
46C2×#6461C2216yes—
47C2×#6461C2211yescharacteristic
48C2×#6461C2213yes—
49C2×#6460C2213yes—
50C2×#6460C2213yes—
51C2×#6458C2213yes—
52C2×#6458C2213yes—
53C2×#6458C2216yes—
54C2×#6458C2213yes—
55C2×#6458C2213yes—
56C2×#6458C2213yes—
57C2×#6457C2216yes—
58C2×#6457C2213yes—
59C2×#6457C2216yes—
60C2×#6457C2213yes—
61C2×#6456C2213yes—
62C2×#6456C2213yes—
63C2×#6456C2216yes—
64C2×#6455C2213yes—
65C2×#6455C2213yes—
66C2×#6455C2216yes—
67C2×D7×C4⋊C4C2213yes—
68C2×#6453C2213yes—
69C2×#6450C2213yes—
70C2×#6438C2213yes—
71C2×#6438C2213yes—
72C2×#6437C2213yes—
73C2×C4×D28C2213yes—
74C2×C4×D28C2213yes—
75C2×C4×D28C2213yes—
76C2×C4×D28C2213yes—
77C2×C4×D28C2213yes—
78C2×#6435C2213yes—
79C2×#6435C2213yes—
80C2×C42×D7C2213yes—
81C2×C4×Dic14C2213yes—
82C2×#3524—71nomaximal, Sylow
83C22×C7×Q8C2313yes—
84C22×C7×Q8C2311yescharacteristic
85C2×#1161—28no—
86C2×#1161—28no—
87C2×#1161C2318yes—
88C2×#1161C2318yes—
89C2×Q8×D7—28no—
90C2×Q8×D7C2318yes—
91C22×D28C2313yes—
92C22×D28C2313yes—
93C22×D28C2313yes—
94C22×D28C2313yes—
95C22×D28C2313yes—
96C22×D28C2316yes—
97C22×C4×D7C2313yes—
98C22×C4×D7C2313yes—
99C22×C4×D7C2313yes—
100C22×C4×D7C2313yes—
101C22×C4×D7C2313yes—
102C22×C4×D7C2316yes—
103C22×Dic14C2313yes—
104C7×C4⋊Q8C23124yes—
105C7×#125C23124yes—
106C7×#125C23124yes—
107C4×C7×Q8C2318yes—
108C4×C7×Q8C2318yes—
109C4×C7×Q8C2318yes—
110C4×C7×Q8C23124yes—
111C2×C7×C4⋊C4C2313yes—
112C2×C7×C4⋊C4C2313yes—
113C2×C7×C4⋊C4C2313yes—
114C2×C7×C4⋊C4C2313yes—
115C2×C7×C4⋊C4C2316yes—
116C2×C7×C4⋊C4C2313yes—
117C2×C7×C4⋊C4C2311yescharacteristic
118C2×C42×C7C2313yes—
119C2×C42×C7C2313yes—
120C2×C42×C7C2313yes—
121#6510C23148yes—
122#6510C23124yes—
123#6509C23124yes—
124Q8×Dic7C2318yes—
125C2×(C2×D7)⋊C4C2311yescharacteristic
126C2×(C2×D7)⋊C4C2313yes—
127C2×(C2×D7)⋊C4C2313yes—
128C2×(C2×D7)⋊C4C2313yes—
129C2×(C2×D7)⋊C4C2311yescharacteristic
130C2×(C2×D7)⋊C4C2311yescharacteristic
131C2×(C2×D7)⋊C4C2313yes—
132C2×(C2×D7)⋊C4C2313yes—
133C2×(C2×D7)⋊C4C2313yes—
134C2×(C2×D7)⋊C4C2316yes—
135C2×(C2×D7)⋊C4C2313yes—
136C2×(C2×D7)⋊C4C2316yes—
137C2×(C2×D7)⋊C4C2316yes—
138C2×C4⋊Dic7C2313yes—
139C2×C4⋊Dic7C2311yescharacteristic
140C2×C4⋊Dic7C2313yes—
141C2×C4⋊Dic7C2313yes—
142C2×Dic7⋊C4C2313yes—
143C2×Dic7⋊C4C2311yescharacteristic
144C2×Dic7⋊C4C2313yes—
145C2×Dic7⋊C4C2313yes—
146C2×C4×Dic7C2316yes—
147C2×C4×Dic7C2311yescharacteristic
148C2×C4×Dic7C2313yes—
149C2×C4×Dic7C2313yes—
150#6461C23124yes—
151#6461C23148yes—
152#6461C2318yes—
153#6460C23124yes—
154#6460C23124yes—
155#6458C23124yes—
156#6458C23148yes—
157#6458C23124yes—
158#6458C23124yes—
159#6458C23124yes—
160#6458C23124yes—
161#6457C23148yes—
162#6457C23148yes—
163#6457C23124yes—
164#6457C23124yes—
165#6456C23148yes—
166#6456C23124yes—
167#6456C23124yes—
168#6455C23148yes—
169#6455C23124yes—
170#6455C23124yes—
171D7×C4⋊C4C23124yes—
172#6453C23124yes—
173#6450C23124yes—
174#6438C23124yes—
175#6438C23124yes—
176#6437C23124yes—
177C4×D28C23124yes—
178C4×D28C23124yes—
179C4×D28C23124yes—
180C4×D28C23124yes—
181C4×D28C23124yes—
182#6435C23124yes—
183#6435C23124yes—
184C42×D7C23124yes—
185C4×Dic14C23124yes—
186#3524—732no—
187C2×#559—73no—
188C2×#557D711yescharacteristic, complemented
189C2×#555—73no—
190C2×#553—73no—
191C2×#552—73no—
192C2×#550—71no—
193C2×#548—71no—
194C2×#548—71no—
195C2×#542—73no—
196C2×#540—73no—
197C2×#529—73no—
198C2×#529—73no—
199C2×#520—71no—
200C2×#519—71no—
201C2×C4×#41—71no—
202C23×D7C2411yescharacteristic
203C23×D7C2413yes—
204C23×D7C2413yes—
205C2×C7×Q8—46no—
206C2×C7×Q8#4118yes—
207C2×C7×Q8C24112yes—
208C2×C7×Q8C2414yes—
209C22×C4×C7C2413yes—
210C22×C4×C7C2413yes—
211C22×C4×C7C2411yescharacteristic
212C22×C4×C7C2411yescharacteristic
213C22×C4×C7C2413yes—
214C22×C4×C7C2411yescharacteristic
215C22×C4×C7C2413yes—
216C22×Dic7C2411yescharacteristic
217C22×Dic7C2413yes—
218C22×Dic7C2411yescharacteristic
219C22×Dic7C2413yes—
220C22×Dic7C2411yescharacteristic
221#1161—232no—
222#1161—232no—
223Q8×D7—232no—
224C2×D28—212no—
225C2×D28—212no—
226C2×D28—46no—
227C2×D28—46no—
228C2×D28—46no—
229C2×D28—412no—
230C2×D28C24112yes—
231C2×D28C24112yes—
232C2×D28C24112yes—
233C2×D28C24112yes—
234C2×D28C24112yes—
235C2×D28C24124yes—
236C2×C4×D7—212no—
237C2×C4×D7—212no—
238C2×C4×D7—212no—
239C2×C4×D7—46no—
240C2×C4×D7—412no—
241C2×C4×D7—46no—
242C2×C4×D7C24112yes—
243C2×C4×D7C24112yes—
244C2×C4×D7C24112yes—
245C2×C4×D7C24112yes—
246C2×C4×D7C24112yes—
247C2×C4×D7C24124yes—
248C2×Dic14—212no—
249C2×Dic14C24112yes—
250C7×C4⋊C4C24112yes—
251C7×C4⋊C4C24112yes—
252C7×C4⋊C4C24112yes—
253C7×C4⋊C4C24112yes—
254C7×C4⋊C4C24124yes—
255C7×C4⋊C4C24112yes—
256C7×C4⋊C4C2414yes—
257C42×C7C24112yes—
258C42×C7C24112yes—
259C42×C7C24112yes—
260(C2×D7)⋊C4C2414yes—
261(C2×D7)⋊C4C24112yes—
262(C2×D7)⋊C4C24112yes—
263(C2×D7)⋊C4C24112yes—
264(C2×D7)⋊C4C2414yes—
265(C2×D7)⋊C4C2414yes—
266(C2×D7)⋊C4C24112yes—
267(C2×D7)⋊C4C24112yes—
268(C2×D7)⋊C4C24112yes—
269(C2×D7)⋊C4C24124yes—
270(C2×D7)⋊C4C24112yes—
271(C2×D7)⋊C4C24124yes—
272(C2×D7)⋊C4C24124yes—
273C4⋊Dic7C24112yes—
274C4⋊Dic7C2414yes—
275C4⋊Dic7C24112yes—
276C4⋊Dic7C24112yes—
277Dic7⋊C4C24112yes—
278Dic7⋊C4C2414yes—
279Dic7⋊C4C24112yes—
280Dic7⋊C4C24112yes—
281C4×Dic7C24124yes—
282C4×Dic7C2414yes—
283C4×Dic7C24112yes—
284C4×Dic7C24112yes—
285C22×#41—71no—
286C22×#41—71no—
287C23×Q8—71no—
288#559—748no—
289#557C2×D7116yescomplemented
290#555—748no—
291#553—748no—
292#552—748no—
293#550—716no—
294#548—716no—
295#548—716no—
296#542—748no—
297#540—748no—
298C2×C4⋊Q8C2×D713yes—
299C2×#127—73no—
300#529—748no—
301#529—748no—
302C2×#126—71no—
303C2×#126—73no—
304C2×#126—76no—
305C2×#125—73no—
306C2×#125C2×D713yes—
307C2×#125C2×D713yes—
308C2×#124—73no—
309C2×#124—76no—
310C2×#124—73no—
311C2×#124—73no—
312C2×#123—76no—
313C2×#123—73no—
314C2×#123—73no—
315C2×#123—76no—
316C2×C22⋊Q8—73no—
317C2×C22⋊Q8—73no—
318C2×C22⋊Q8—73no—
319C2×#121—73no—
320C2×#121—73no—
321C2×#121—73no—
322C2×#121—73no—
323C2×#121—76no—
324C2×#121—73no—
325#520—716no—
326#519—716no—
327C4×#41—716no—
328C2×C4×Q8—71no—
329C2×C4×Q8—73no—
330C2×C4×Q8—73no—
331C2×C4×Q8C2×D711yescharacteristic
332C2×C4×Q8C2×D711yescharacteristic
333C2×C4×Q8C2×D711yescharacteristic
334C2×C4×Q8C2×D713yes—
335C2×C4×D4—73no—
336C2×C4×D4—73no—
337C2×C4×D4—76no—
338C2×C4×D4—73no—
339C2×C4×D4—73no—
340C2×C4×D4—73no—
341C2×C4×D4—73no—
342C2×C4×D4—73no—
343C2×#117—73no—
344C2×#117—73no—
345C2×#117—76no—
346C2×#117—73no—
347C2×#117—73no—
348C22×C4⋊C4—73no—
349C22×C42—73no—
350C23×C7C2511yescharacteristic
351C22×D7—22no—
352C22×D7—26no—
353C22×D7—26no—
354C22×D7—26no—
355C22×D7—26no—
356C22×D7—26no—
357C22×D7—22no—
358C22×D7—26no—
359C22×D7—22no—
360C22×D7C2512yes—
361C22×D7C2516yes—
362C22×D7C2516yes—
363C7×Q8—412no—
364C7×Q8C2×#41116yes—
365C2×C4×C7—22no—
366C2×C4×C7—26no—
367C2×C4×C7—26no—
368C2×C4×C7—22no—
369C2×C4×C7—26no—
370C2×C4×C7—22no—
371C2×C4×C7C2×#41112yes—
372C2×C4×C7C2516yes—
373C2×C4×C7C2516yes—
374C2×C4×C7C2512yes—
375C2×C4×C7C2512yes—
376C2×C4×C7C2516yes—
377C2×C4×C7C2512yes—
378C2×C4×C7C2516yes—
379C2×Dic7—26no—
380C2×Dic7—22no—
381C2×Dic7—22no—
382C2×Dic7—22no—
383C2×Dic7—26no—
384C2×Dic7C2512yes—
385C2×Dic7C2516yes—
386C2×Dic7C2512yes—
387C2×Dic7C2516yes—
388C2×Dic7C2512yes—
389D28—224no—
390D28—224no—
391D28—412no—
392D28—412no—
393D28—412no—
394D28—424no—
395C4×D7—224no—
396C4×D7—224no—
397C4×D7—224no—
398C4×D7—412no—
399C4×D7—424no—
400C4×D7—412no—
401Dic14—224no—
402C2×#41—78no—
403C2×#41—78no—
404C2×#41—148no—
405C2×#41—148no—
406C22×Q8—78no—
407C22×Q8—73no—
408C22×Q8—148no—
409C22×Q8C22×D713yes—
410C22×Q8C22×D711yescharacteristic
411C22×D4—73no—
412C22×D4—73no—
413C22×D4—73no—
414C22×D4—73no—
415C22×D4—76no—
416C22×D4—73no—
417C23×C4—73no—
418C23×C4—73no—
419C23×C4—73no—
420C23×C4—76no—
421C23×C4—73no—
422C23×C4—73no—
423C4⋊Q8C22×D7124yes—
424#127—724no—
425#126—78no—
426#126—724no—
427#126—748no—
428#125—724no—
429#125C22×D7124yes—
430#125C22×D7124yes—
431#124—724no—
432#124—748no—
433#124—724no—
434#124—724no—
435#123—748no—
436#123—724no—
437#123—724no—
438#123—748no—
439C22⋊Q8—724no—
440C22⋊Q8—724no—
441C22⋊Q8—724no—
442#121—724no—
443#121—724no—
444#121—724no—
445#121—724no—
446#121—748no—
447#121—724no—
448C4×Q8—78no—
449C4×Q8—724no—
450C4×Q8—724no—
451C4×Q8C22×D718yes—
452C4×Q8C22×D718yes—
453C4×Q8C22×D718yes—
454C4×Q8C22×D7124yes—
455C4×D4—724no—
456C4×D4—724no—
457C4×D4—748no—
458C4×D4—724no—
459C4×D4—724no—
460C4×D4—724no—
461C4×D4—724no—
462C4×D4—724no—
463#117—724no—
464#117—724no—
465#117—748no—
466#117—724no—
467#117—724no—
468C2×C4⋊C4—73no—
469C2×C4⋊C4—73no—
470C2×C4⋊C4—71no—
471C2×C4⋊C4—73no—
472C2×C4⋊C4—73no—
473C2×C4⋊C4—73no—
474C2×C4⋊C4—71no—
475C2×C4⋊C4—73no—
476C2×C4⋊C4—724no—
477C2×C4⋊C4C22×D713yes—
478C2×C4⋊C4C22×D713yes—
479C2×C4⋊C4C22×D713yes—
480C2×C4⋊C4C22×D716yes—
481C2×C4⋊C4C22×D713yes—
482C2×C4⋊C4C22×D711yescharacteristic
483C2×C4⋊C4C22×D713yes—
484C2×C22⋊C4—71no—
485C2×C22⋊C4—73no—
486C2×C22⋊C4—73no—
487C2×C22⋊C4—73no—
488C2×C22⋊C4—76no—
489C2×C22⋊C4—73no—
490C2×C22⋊C4—76no—
491C2×C22⋊C4—71no—
492C2×C22⋊C4—73no—
493C2×C22⋊C4—71no—
494C2×C22⋊C4—73no—
495C2×C22⋊C4—76no—
496C2×C22⋊C4—73no—
497C2×C42—73no—
498C2×C42—73no—
499C2×C42—76no—
500C2×C42—71no—
501C2×C42—724no—
502C2×C42C22×D713yes—
503C2×C42C22×D713yes—
504C2×C42C22×D713yes—
505C22×C7C22×#4112yes—
506C22×C7#58512yes—
507C22×C7#58512yes—
508C22×C7C2611yescharacteristic
509C2×D7—22no—
510C2×D7—26no—
511C2×D7—26no—
512C2×D7—26no—
513C2×D7—26no—
514C2×D7—26no—
515C2×D7—22no—
516C2×D7—26no—
517C2×D7—22no—
518C2×D7—44no—
519C2×D7—412no—
520C2×D7—412no—
521C4×C7—22no—
522C4×C7—26no—
523C4×C7—26no—
524C4×C7—22no—
525C4×C7—26no—
526C4×C7—22no—
527C4×C7C22×#41112yes—
528Dic7—26no—
529Dic7—22no—
530Dic7—22no—
531Dic7—22no—
532Dic7—26no—
533C24—71no—
534C24—73no—
535C24—73no—
536#41—1432no—
537#41—1432no—
538C2×Q8—46no—
539C2×Q8—712no—
540C2×Q8—1432no—
541C2×Q8—1412no—
542C2×Q8#116118yes—
543C2×Q8C23×D7112yes—
544C2×Q8C23×D714yes—
545C2×D4—712no—
546C2×D4—712no—
547C2×D4—712no—
548C2×D4—712no—
549C2×D4—724no—
550C2×D4—712no—
551C2×D4—1412no—
552C2×D4—1412no—
553C2×D4—286no—
554C2×D4—2812no—
555C2×D4—286no—
556C2×D4—286no—
557C22×C4—71no—
558C22×C4—71no—
559C22×C4—73no—
560C22×C4—73no—
561C22×C4—71no—
562C22×C4—712no—
563C22×C4—712no—
564C22×C4—712no—
565C22×C4—712no—
566C22×C4—712no—
567C22×C4—724no—
568C22×C4—1412no—
569C22×C4—1412no—
570C22×C4—1412no—
571C22×C4—286no—
572C22×C4—286no—
573C22×C4—2812no—
574C22×C4C23×D713yes—
575C22×C4C23×D711yescharacteristic
576C22×C4C23×D713yes—
577C22×C4C23×D711yescharacteristic
578C22×C4C23×D711yescharacteristic
579C22×C4C23×D713yes—
580C22×C4C23×D713yes—
581C4⋊C4—712no—
582C4⋊C4—74no—
583C4⋊C4—712no—
584C4⋊C4—712no—
585C4⋊C4—712no—
586C4⋊C4—712no—
587C4⋊C4—74no—
588C4⋊C4—712no—
589C4⋊C4C23×D7112yes—
590C4⋊C4C23×D7112yes—
591C4⋊C4C23×D7112yes—
592C4⋊C4C23×D7124yes—
593C4⋊C4C23×D7112yes—
594C4⋊C4C23×D714yes—
595C4⋊C4C23×D7112yes—
596C22⋊C4—74no—
597C22⋊C4—712no—
598C22⋊C4—712no—
599C22⋊C4—712no—
600C22⋊C4—724no—
601C22⋊C4—712no—
602C22⋊C4—724no—
603C22⋊C4—74no—
604C22⋊C4—712no—
605C22⋊C4—74no—
606C22⋊C4—712no—
607C22⋊C4—724no—
608C22⋊C4—712no—
609C42—74no—
610C42—712no—
611C42—712no—
612C42—724no—
613C42C23×D7112yes—
614C42C23×D7112yes—
615C42C23×D7112yes—
616C2×C7#352414yescomplemented
617C2×C7C23×#4111yescharacteristic
618C2×C7C2×#58511yescharacteristic
619C2×C7C2×#58511yescharacteristic
620D7—42no—
621D7—46no—
622D7—46no—
623C23—72no—
624C23—76no—
625C23—76no—
626C23—142no—
627C23—146no—
628C23—146no—
629C23—146no—
630C23—142no—
631C23—146no—
632C23—146no—
633C23—146no—
634C23—142no—
635C23C24×D711yescharacteristic
636Q8—412no—
637Q8—1424no—
638Q8C2×#1161116yes—
639D4—1424no—
640D4—1424no—
641D4—2812no—
642D4—2824no—
643D4—2812no—
644D4—2812no—
645C2×C4—26no—
646C2×C4—26no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—26no—
650C2×C4—22no—
651C2×C4—72no—
652C2×C4—72no—
653C2×C4—76no—
654C2×C4—76no—
655C2×C4—72no—
656C2×C4—142no—
657C2×C4—142no—
658C2×C4—146no—
659C2×C4—142no—
660C2×C4—146no—
661C2×C4—1424no—
662C2×C4—1424no—
663C2×C4—1424no—
664C2×C4—2812no—
665C2×C4—2812no—
666C2×C4—2824no—
667C2×C4C2×#1161112yes—
668C2×C4C24×D716yes—
669C2×C4C24×D712yes—
670C2×C4C24×D716yes—
671C2×C4C24×D712yes—
672C2×C4C24×D712yes—
673C2×C4C24×D716yes—
674C2×C4C24×D716yes—
675C7C2×#352411yescharacteristic, complemented, Sylow
676C22—142no—
677C22—146no—
678C22—146no—
679C22—146no—
680C22—142no—
681C22—146no—
682C22—146no—
683C22—146no—
684C22—142no—
685C22—284no—
686C22—2812no—
687C22—2812no—
688C22C22×#116112yes—
689C22#9061612yes—
690C22#9062012yes—
691C22C25×D711yescharacteristic
692C4—26no—
693C4—26no—
694C4—22no—
695C4—22no—
696C4—26no—
697C4—22no—
698C4—142no—
699C4—142no—
700C4—146no—
701C4—142no—
702C4—146no—
703C4C22×#1161112yes—
704C2—282no—
705C2—286no—
706C2—286no—
707C2#1174409414yesdirect product factor
708C2C23×#116111yescharacteristic
709C2C2×#9061611yescharacteristic
710C2C2×#9062011yescharacteristic
subgroupG/H
centerC23C24×D7
commutator, cosocleC22×C7C26
FrattiniC22C25×D7
FittingC2×C7×#557C2
socleC23×C7C25
hypercenterC2×#557D7
hypocenterC7C2×#3524
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. C2×C7×#557C2semidirect
2. #11744094C2direct (N × H)
3. C2×#90424C2semidirect
4. C2×#90425C2semidirect
5. C2×#90386C2semidirect
6. C2×#90385C2semidirect
7. C2×#90389C2semidirect
8. C2×#90382C2semidirect
9. C2×#90267C2semidirect
10. C2×#90267C2semidirect
11. C2×#90271C2semidirect
12. C2×#90263C2semidirect
13. C2×#90276C2semidirect
14. C2×#90268C2semidirect
15. C2×#90265C2semidirect
16. C2×C4×#1161C2semidirect
20. C7×#557C22semidirect
32. #90425C22semidirect
33. #90424C22semidirect
34. #90389C22semidirect
35. #90386C22semidirect
36. #90385C22semidirect
37. #90382C22semidirect
38. #90276C22semidirect
39. #90271C22semidirect
40. #90268C22semidirect
41. #90267C22semidirect
42. #90267C22semidirect
43. #90265C22semidirect
44. C4×#1161C22semidirect
45. #90263C22semidirect
188. C2×#557D7semidirect
289. #557C2×D7semidirect
616. C2×C7#3524semidirect
675. C7C2×#3524semidirect
707. C2#11744094direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#5572
#117440942
C2×#904242
C2×#904252
C2×#903862
C2×#903852
C2×#903892
C2×#903822
C2×#902672
C2×#902712
C2×#902632
C2×#902762
C2×#902682
C2×#902652
C2×C4×#11612
C2×#35247