Finite Group Databasebeta

← C2×#11742947 #14262082

Subgroups — C2×#11742947 #14262082

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×#519C211yesmaximal, characteristic, complemented
2C2×#90508C211yesmaximal, characteristic, complemented
3C2×#90508C211yesmaximal, characteristic, complemented
4#11742947C2132yesmaximal, direct product factor
5C2×#90272C213yesmaximal, complemented
6C2×#90273C213yesmaximal, complemented
7C2×#90271C213yesmaximal, complemented
8C2×#90276C213yesmaximal, complemented
9C2×#90260C211yesmaximal, characteristic, complemented
10C2×#90268C211yesmaximal, characteristic, complemented
11C2×#90265C211yesmaximal, characteristic, complemented
12C2×C4×#1161C211yesmaximal, characteristic, complemented
13C2×#90223C213yesmaximal, complemented
14C2×#90221C213yesmaximal, complemented
15C2×#90226C213yesmaximal, complemented
16C2×#90219C213yesmaximal, complemented
17C23×C7×Q8C2211yescharacteristic
18C22×#1161C2211yescharacteristic
19C22×#1161C2211yescharacteristic
20C7×#519C22116yescomplemented
21C2×C4×C7×Q8C2211yescharacteristic
22C2×C4×C7×Q8C2211yescharacteristic
23C2×C4×C7×Q8C2213yes—
24C2×C4×C7×Q8C2213yes—
25C2×C7×#117C2213yes—
26C2×C7×#117C2213yes—
27#90508C22116yescomplemented
28#90508C22116yescomplemented
29C2×#6510C2213yes—
30C2×#6510C2213yes—
31C2×#6509C2213yes—
32C2×#6509C2213yes—
33C2×Q8×Dic7C2211yescharacteristic
34C2×Q8×Dic7C2211yescharacteristic
35C2×#6493C2213yes—
36C2×#6493C2213yes—
37C2×C4×C22⋊D7C2213yes—
38C2×C4×C22⋊D7C2213yes—
39#90276C22148yescomplemented
40#90273C22148yescomplemented
41#90272C22148yescomplemented
42#90271C22148yescomplemented
43#90268C22116yescomplemented
44#90265C22116yescomplemented
45C4×#1161C22116yescomplemented
46#90260C22116yescomplemented
47#90226C22148yescomplemented
48#90223C22148yescomplemented
49#90221C22148yescomplemented
50#90219C22148yescomplemented
51C2×#6461C2213yes—
52C2×#6459C2213yes—
53C2×#6458C2213yes—
54C2×#6458C2213yes—
55C2×#6457C2213yes—
56C2×#6457C2216yes—
57C2×#6457C2216yes—
58C2×#6456C2213yes—
59C2×#6456C2213yes—
60C2×#6455C2213yes—
61C2×D7×C4⋊C4C2213yes—
62C2×#6453C2213yes—
63C2×#6452C2213yes—
64C2×#6451C2213yes—
65C2×#6448C2213yes—
66C2×#6447C2213yes—
67C2×#6447C2216yes—
68C2×#6446C2213yes—
69C2×#6442C2211yescharacteristic
70C2×#6439C2216yes—
71C2×#6438C2216yes—
72C2×#6437C2213yes—
73C2×C4×D28C2213yes—
74C2×C4×D28C2213yes—
75C2×C4×D28C2213yes—
76C2×C4×D28C2216yes—
77C2×#6435C2213yes—
78C2×#6435C2216yes—
79C2×C42×D7C2213yes—
80C2×#6433C2213yes—
81C2×C4×Dic14C2213yes—
82C2×#3524—71nomaximal, Sylow
83C22×C7×Q8—28no—
84C22×C7×Q8C2313yes—
85C22×C7×Q8C2318yes—
86C22×C7×Q8C2311yescharacteristic
87C23×C4×C7C2313yes—
88C22×C22⋊D7C2313yes—
89C22×C22⋊D7C2313yes—
90C2×#1161—28no—
91C2×#1161—28no—
92C2×#1161C2318yes—
93C2×#1161C2318yes—
94C22×D28C2313yes—
95C22×D28C2313yes—
96C22×D28C2313yes—
97C22×D28C2316yes—
98C22×C4×D7C2313yes—
99C22×C4×D7C2313yes—
100C22×C4×D7C2313yes—
101C22×C4×D7C2313yes—
102C22×C4×D7C2316yes—
103C22×Dic14C2313yes—
104C4×C7×Q8C2318yes—
105C4×C7×Q8C2318yes—
106C4×C7×Q8C23124yes—
107C4×C7×Q8C23124yes—
108C7×#117C23124yes—
109C7×#117C23124yes—
110C2×C7×C4⋊C4C2313yes—
111C2×C7×C4⋊C4C2313yes—
112C2×C7×C4⋊C4C2313yes—
113C2×C7×C4⋊C4C2313yes—
114C2×C7×C22⋊C4C2311yescharacteristic
115C2×C7×C22⋊C4C2313yes—
116C2×C42×C7C2313yes—
117C2×C42×C7C2313yes—
118C2×C42×C7C2316yes—
119C2×C22⋊Dic7C2311yescharacteristic
120C2×C22⋊Dic7C2311yescharacteristic
121#6510C23124yes—
122#6510C23124yes—
123#6509C23124yes—
124#6509C23124yes—
125Q8×Dic7C2318yes—
126Q8×Dic7C2318yes—
127#6493C23124yes—
128#6493C23124yes—
129C4×C22⋊D7C23124yes—
130C4×C22⋊D7C23124yes—
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)⋊C4C2313yes—
138C2×(C2×D7)⋊C4C2316yes—
139C2×(C2×D7)⋊C4C2313yes—
140C2×C4⋊Dic7C2313yes—
141C2×C4⋊Dic7C2313yes—
142C2×C4⋊Dic7C2313yes—
143C2×C4⋊Dic7C2311yescharacteristic
144C2×Dic7⋊C4C2311yescharacteristic
145C2×Dic7⋊C4C2313yes—
146C2×Dic7⋊C4C2316yes—
147C2×Dic7⋊C4C2311yescharacteristic
148C2×Dic7⋊C4C2313yes—
149C2×Dic7⋊C4C2313yes—
150C2×Dic7⋊C4C2313yes—
151C2×C4×Dic7C2313yes—
152C2×C4×Dic7C2313yes—
153C2×C4×Dic7C2311yescharacteristic
154C2×C4×Dic7C2313yes—
155#6461C23124yes—
156#6459C23124yes—
157#6458C23124yes—
158#6458C23124yes—
159#6457C23124yes—
160#6457C23148yes—
161#6457C23148yes—
162#6456C23124yes—
163#6456C23124yes—
164#6455C23124yes—
165D7×C4⋊C4C23124yes—
166#6453C23124yes—
167#6452C23124yes—
168#6451C23124yes—
169#6448C23124yes—
170#6447C23124yes—
171#6447C23148yes—
172#6446C23124yes—
173#6442C2318yes—
174#6439C23148yes—
175#6438C23148yes—
176#6437C23124yes—
177C4×D28C23124yes—
178C4×D28C23148yes—
179C4×D28C23124yes—
180C4×D28C23124yes—
181#6435C23124yes—
182#6435C23148yes—
183C42×D7C23124yes—
184#6433C23124yes—
185C4×Dic14C23124yes—
186#3524—732no—
187C2×#559—73no—
188C2×#557—71no—
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×#519D711yescharacteristic, complemented
201C2×C4×#41—71no—
202C24×C7C2411yescharacteristic
203C23×D7C2413yes—
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×C7C2411yescharacteristic
212C22×C4×C7C2413yes—
213C22×C4×C7C2411yescharacteristic
214C22×C4×C7C2413yes—
215C22×C4×C7C2413yes—
216C22×C4×C7C24112yes—
217C22×C4×C7C2413yes—
218C2×C22⋊D7—46no—
219C2×C22⋊D7—46no—
220C2×C22⋊D7C24112yes—
221C2×C22⋊D7C24112yes—
222C22×Dic7C2411yescharacteristic
223C22×Dic7C2411yescharacteristic
224C22×Dic7C2411yescharacteristic
225C22×Dic7C2413yes—
226C22×Dic7C2413yes—
227C22×Dic7C2411yescharacteristic
228#1161—232no—
229#1161—232no—
230C2×D28—212no—
231C2×D28—212no—
232C2×D28—412no—
233C2×D28—46no—
234C2×D28C24112yes—
235C2×D28C24112yes—
236C2×D28C24112yes—
237C2×D28C24124yes—
238C2×C4×D7—212no—
239C2×C4×D7—212no—
240C2×C4×D7—46no—
241C2×C4×D7—46no—
242C2×C4×D7—412no—
243C2×C4×D7C24112yes—
244C2×C4×D7C24112yes—
245C2×C4×D7C24112yes—
246C2×C4×D7C24112yes—
247C2×C4×D7C24124yes—
248C2×Dic14—46no—
249C2×Dic14C24112yes—
250C7×C4⋊C4C24112yes—
251C7×C4⋊C4C24112yes—
252C7×C4⋊C4C24112yes—
253C7×C4⋊C4C24112yes—
254C7×C22⋊C4C2414yes—
255C7×C22⋊C4C24112yes—
256C42×C7C24112yes—
257C42×C7C24112yes—
258C42×C7C24124yes—
259C22⋊Dic7C2414yes—
260C22⋊Dic7C2414yes—
261(C2×D7)⋊C4C24112yes—
262(C2×D7)⋊C4C24112yes—
263(C2×D7)⋊C4C24112yes—
264(C2×D7)⋊C4C24124yes—
265(C2×D7)⋊C4C24112yes—
266(C2×D7)⋊C4C24124yes—
267(C2×D7)⋊C4C24112yes—
268(C2×D7)⋊C4C24124yes—
269(C2×D7)⋊C4C24112yes—
270C4⋊Dic7C24112yes—
271C4⋊Dic7C24112yes—
272C4⋊Dic7C24112yes—
273C4⋊Dic7C2414yes—
274Dic7⋊C4C2414yes—
275Dic7⋊C4C24112yes—
276Dic7⋊C4C24124yes—
277Dic7⋊C4C2414yes—
278Dic7⋊C4C24112yes—
279Dic7⋊C4C24112yes—
280Dic7⋊C4C24112yes—
281C4×Dic7C24112yes—
282C4×Dic7C24112yes—
283C4×Dic7C2414yes—
284C4×Dic7C24112yes—
285C22×#41—71no—
286C22×#41—71no—
287C23×Q8C2×D711yescharacteristic
288#559—748no—
289#557—716no—
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⋊Q8—73no—
299C2×#127—73no—
300#529—748no—
301#529—748no—
302C2×#126—73no—
303C2×#126—71no—
304C2×#126—76no—
305C2×#125—73no—
306C2×#125—73no—
307C2×#125—73no—
308C2×#124—73no—
309C2×#124—73no—
310C2×#124—73no—
311C2×#124—76no—
312C2×#123—76no—
313C2×#123—73no—
314C2×#123—76no—
315C2×#123—73no—
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—73no—
324C2×#121—76no—
325#520—716no—
326#519C2×D7116yescomplemented
327C4×#41—716no—
328C2×C4×Q8—71no—
329C2×C4×Q8—71no—
330C2×C4×Q8—73no—
331C2×C4×Q8C2×D711yescharacteristic
332C2×C4×Q8C2×D713yes—
333C2×C4×Q8C2×D711yescharacteristic
334C2×C4×Q8C2×D713yes—
335C2×C4×D4—73no—
336C2×C4×D4—73no—
337C2×C4×D4—73no—
338C2×C4×D4—73no—
339C2×C4×D4—73no—
340C2×C4×D4—73no—
341C2×C4×D4—73no—
342C2×C4×D4—76no—
343C2×#117—73no—
344C2×#117—73no—
345C2×#117—76no—
346C2×#117C2×D713yes—
347C2×#117C2×D713yes—
348C22×C4⋊C4—73no—
349C22×C42—73no—
350C23×C7—22no—
351C23×C7—22no—
352C23×C7—22no—
353C23×C7C2512yes—
354C23×C7C2511yescharacteristic
355C22×D7—26no—
356C22×D7—26no—
357C22×D7—26no—
358C22×D7—26no—
359C22×D7—26no—
360C22×D7—26no—
361C22×D7C2516yes—
362C22×D7C2516yes—
363C7×Q8—224no—
364C7×Q8C2×#41116yes—
365C2×C4×C7—26no—
366C2×C4×C7—26no—
367C2×C4×C7—22no—
368C2×C4×C7—26no—
369C2×C4×C7—22no—
370C2×C4×C7—224no—
371C2×C4×C7C2×#41112yes—
372C2×C4×C7C2512yes—
373C2×C4×C7C2516yes—
374C2×C4×C7C2512yes—
375C2×C4×C7C2516yes—
376C2×C4×C7C2516yes—
377C2×C4×C7C2516yes—
378C22⋊D7—412no—
379C22⋊D7—412no—
380C2×Dic7—22no—
381C2×Dic7—22no—
382C2×Dic7—22no—
383C2×Dic7—26no—
384C2×Dic7—22no—
385C2×Dic7—26no—
386C2×Dic7C2512yes—
387C2×Dic7C2512yes—
388C2×Dic7C2512yes—
389C2×Dic7C2516yes—
390C2×Dic7C2516yes—
391C2×Dic7C2512yes—
392D28—224no—
393D28—224no—
394D28—424no—
395D28—412no—
396C4×D7—224no—
397C4×D7—224no—
398C4×D7—412no—
399C4×D7—412no—
400C4×D7—424no—
401Dic14—412no—
402C2×#41—78no—
403C2×#41—78no—
404C2×#41—148no—
405C2×#41—148no—
406C22×Q8—28no—
407C22×Q8—73no—
408C22×Q8C22×D713yes—
409C22×Q8C22×D718yes—
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—76no—
420C23×C4—73no—
421C23×C4—73no—
422C23×C4C22×D713yes—
423C4⋊Q8—724no—
424#127—724no—
425#126—724no—
426#126—78no—
427#126—748no—
428#125—724no—
429#125—724no—
430#125—724no—
431#124—724no—
432#124—724no—
433#124—724no—
434#124—748no—
435#123—748no—
436#123—724no—
437#123—748no—
438#123—724no—
439C22⋊Q8—724no—
440C22⋊Q8—724no—
441C22⋊Q8—724no—
442#121—724no—
443#121—724no—
444#121—724no—
445#121—724no—
446#121—724no—
447#121—748no—
448C4×Q8—78no—
449C4×Q8—78no—
450C4×Q8—724no—
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—
460C4×D4—724no—
461C4×D4—724no—
462C4×D4—748no—
463#117—724no—
464#117—724no—
465#117—748no—
466#117C22×D7124yes—
467#117C22×D7124yes—
468C2×C4⋊C4—73no—
469C2×C4⋊C4—73no—
470C2×C4⋊C4—71no—
471C2×C4⋊C4—73no—
472C2×C4⋊C4—73no—
473C2×C4⋊C4—76no—
474C2×C4⋊C4—71no—
475C2×C4⋊C4—73no—
476C2×C4⋊C4—73no—
477C2×C4⋊C4—71no—
478C2×C4⋊C4—73no—
479C2×C4⋊C4—724no—
480C2×C4⋊C4C22×D713yes—
481C2×C4⋊C4C22×D713yes—
482C2×C4⋊C4C22×D713yes—
483C2×C4⋊C4C22×D713yes—
484C2×C22⋊C4—71no—
485C2×C22⋊C4—71no—
486C2×C22⋊C4—73no—
487C2×C22⋊C4—73no—
488C2×C22⋊C4—76no—
489C2×C22⋊C4—73no—
490C2×C22⋊C4—76no—
491C2×C22⋊C4—73no—
492C2×C22⋊C4—73no—
493C2×C22⋊C4—76no—
494C2×C22⋊C4—73no—
495C2×C22⋊C4C22×D711yescharacteristic
496C2×C22⋊C4C22×D713yes—
497C2×C42—73no—
498C2×C42—73no—
499C2×C42—73no—
500C2×C42—71no—
501C2×C42—724no—
502C2×C42C22×D713yes—
503C2×C42C22×D716yes—
504C2×C42C22×D713yes—
505C22×C7—22no—
506C22×C7—22no—
507C22×C7—22no—
508C22×C7—44no—
509C22×C7C22×#4112yes—
510C22×C7#58512yes—
511C22×C7#58512yes—
512C22×C7C2611yescharacteristic
513C2×D7—26no—
514C2×D7—26no—
515C2×D7—26no—
516C2×D7—26no—
517C2×D7—26no—
518C2×D7—26no—
519C2×D7—412no—
520C2×D7—412no—
521C4×C7—26no—
522C4×C7—26no—
523C4×C7—22no—
524C4×C7—26no—
525C4×C7—22no—
526C4×C7C22×#41112yes—
527Dic7—22no—
528Dic7—22no—
529Dic7—22no—
530Dic7—26no—
531Dic7—22no—
532Dic7—26no—
533C24—73no—
534C24—73no—
535C24C23×D711yescharacteristic
536#41—1432no—
537#41—1432no—
538C2×Q8—232no—
539C2×Q8—212no—
540C2×Q8—712no—
541C2×Q8—286no—
542C2×Q8#115718yes—
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—212no—
558C22×C4—71no—
559C22×C4—71no—
560C22×C4—71no—
561C22×C4—73no—
562C22×C4—73no—
563C22×C4—71no—
564C22×C4—712no—
565C22×C4—712no—
566C22×C4—712no—
567C22×C4—712no—
568C22×C4—724no—
569C22×C4—1412no—
570C22×C4—1412no—
571C22×C4—286no—
572C22×C4—2812no—
573C22×C4—286no—
574C22×C4C23×D7112yes—
575C22×C4C23×D713yes—
576C22×C4C23×D711yescharacteristic
577C22×C4C23×D713yes—
578C22×C4C23×D711yescharacteristic
579C22×C4C23×D713yes—
580C22×C4C23×D713yes—
581C4⋊C4—712no—
582C4⋊C4—74no—
583C4⋊C4—712no—
584C4⋊C4—724no—
585C4⋊C4—712no—
586C4⋊C4—74no—
587C4⋊C4—712no—
588C4⋊C4—712no—
589C4⋊C4—712no—
590C4⋊C4—74no—
591C4⋊C4—712no—
592C4⋊C4C23×D7112yes—
593C4⋊C4C23×D7112yes—
594C4⋊C4C23×D7112yes—
595C4⋊C4C23×D7112yes—
596C22⋊C4—74no—
597C22⋊C4—74no—
598C22⋊C4—712no—
599C22⋊C4—712no—
600C22⋊C4—724no—
601C22⋊C4—712no—
602C22⋊C4—724no—
603C22⋊C4—712no—
604C22⋊C4—712no—
605C22⋊C4—724no—
606C22⋊C4—712no—
607C22⋊C4C23×D714yes—
608C22⋊C4C23×D7112yes—
609C42—74no—
610C42—712no—
611C42—712no—
612C42—712no—
613C42C23×D7112yes—
614C42C23×D7124yes—
615C42C23×D7112yes—
616C2×C7—42no—
617C2×C7#352414yescomplemented
618C2×C7C23×#4111yescharacteristic
619C2×C7C2×#58511yescharacteristic
620C2×C7C2×#58511yescharacteristic
621D7—46no—
622D7—46no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—76no—
627C23—76no—
628C23—146no—
629C23—146no—
630C23—146no—
631C23—146no—
632C23—146no—
633C23—146no—
634C23C24×D712yes—
635C23C24×D711yescharacteristic
636Q8—224no—
637Q8—2812no—
638Q8C2×#1157116yes—
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—224no—
651C2×C4—72no—
652C2×C4—72no—
653C2×C4—72no—
654C2×C4—76no—
655C2×C4—76no—
656C2×C4—72no—
657C2×C4—142no—
658C2×C4—142no—
659C2×C4—142no—
660C2×C4—146no—
661C2×C4—146no—
662C2×C4—142no—
663C2×C4—1424no—
664C2×C4—1424no—
665C2×C4—2812no—
666C2×C4—2824no—
667C2×C4—2812no—
668C2×C4C2×#1157112yes—
669C2×C4C24×D712yes—
670C2×C4C24×D716yes—
671C2×C4C24×D716yes—
672C2×C4C24×D712yes—
673C2×C4C24×D716yes—
674C2×C4C24×D716yes—
675C7C2×#352411yescharacteristic, complemented, Sylow
676C22—22no—
677C22—22no—
678C22—22no—
679C22—44no—
680C22—146no—
681C22—146no—
682C22—146no—
683C22—146no—
684C22—146no—
685C22—146no—
686C22—2812no—
687C22—2812no—
688C22C22×#115712yes—
689C22#9062012yes—
690C22#9062012yes—
691C22C25×D711yescharacteristic
692C4—26no—
693C4—26no—
694C4—22no—
695C4—22no—
696C4—26no—
697C4—142no—
698C4—142no—
699C4—142no—
700C4—146no—
701C4—146no—
702C4—142no—
703C4C22×#1157112yes—
704C2—42no—
705C2—286no—
706C2—286no—
707C2#1174294714yesdirect product factor
708C2C23×#115711yescharacteristic
709C2C2×#9062011yescharacteristic
710C2C2×#9062011yescharacteristic
subgroupG/H
centerC23C24×D7
commutator, cosocleC22×C7C26
FrattiniC22C25×D7
FittingC2×C7×#519C2
socleC23×C7C25
hypercenterC2×#519D7
hypocenterC7C2×#3524
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×#90508C2semidirect
4. #11742947C2direct (N × H)
5. C2×#90272C2semidirect
6. C2×#90273C2semidirect
7. C2×#90271C2semidirect
8. C2×#90276C2semidirect
9. C2×#90260C2semidirect
10. C2×#90268C2semidirect
11. C2×#90265C2semidirect
12. C2×C4×#1161C2semidirect
13. C2×#90223C2semidirect
14. C2×#90221C2semidirect
15. C2×#90226C2semidirect
16. C2×#90219C2semidirect
20. C7×#519C22semidirect
27. #90508C22semidirect
28. #90508C22semidirect
39. #90276C22semidirect
40. #90273C22semidirect
41. #90272C22semidirect
42. #90271C22semidirect
43. #90268C22semidirect
44. #90265C22semidirect
45. C4×#1161C22semidirect
46. #90260C22semidirect
47. #90226C22semidirect
48. #90223C22semidirect
49. #90221C22semidirect
50. #90219C22semidirect
200. C2×#519D7semidirect
326. #519C2×D7semidirect
617. C2×C7#3524semidirect
675. C7C2×#3524semidirect
707. C2#11742947direct (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
#117429472
C2×#902722
C2×#902732
C2×#902712
C2×#902762
C2×#902602
C2×#902682
C2×#902652
C2×C4×#11612
C2×#902232
C2×#902212
C2×#902262
C2×#902192
C2×#35247