Finite Group Databasebeta

← #13408195

Subgroups — #13408195

Order 1792.

1024 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×#542C211yesmaximal, characteristic
2C2×#89852C211yesmaximal, characteristic, complemented
3C2×#89828C211yesmaximal, characteristic, complemented
4#11739710C211yesmaximal, characteristic, complemented
5#11729541C211yesmaximal, characteristic, complemented
6#11729480C211yesmaximal, characteristic, complemented
7#11729449C211yesmaximal, characteristic, complemented
8#11729448C211yesmaximal, characteristic, complemented
9#11729434C211yesmaximal, characteristic
10#11729433C211yesmaximal, characteristic
11#11729383C211yesmaximal, characteristic, complemented
12#11729382C211yesmaximal, characteristic, complemented
13#11729361C211yesmaximal, characteristic, complemented
14#11729360C211yesmaximal, characteristic, complemented
15#11729336C211yesmaximal, characteristic, complemented
16C7×#542—24no—
17C7×#542—24no—
18C2×C7×C4⋊Q8C2211yescharacteristic
19C2×C7×#126—21no—
20C2×C7×#124—21no—
21C2×C7×#124C2211yescharacteristic
22C2×C7×#123—21no—
23C2×C7×C22⋊Q8—21no—
24C2×C7×C22⋊Q8C2211yescharacteristic
25C2×C7×#121C2211yescharacteristic
26C2×C4×C7×Q8C2211yescharacteristic
27C2×C4×C7×D4C2211yescharacteristic
28C2×C7×#117C2211yescharacteristic
29C2×#6433C2211yescharacteristic
30C2×#6409C2211yescharacteristic
31C2×#6409C2211yescharacteristic
32C2×#6409C2211yescharacteristic
33C2×#6409C2211yescharacteristic
34C2×#6406C2211yescharacteristic
35C2×#6406C2211yescharacteristic
36C2×#6406C2211yescharacteristic
37C2×#6406C2211yescharacteristic
38#89984C2211yescharacteristic
39#89984C2211yescharacteristic
40C2×C22⋊(C7⋊C8)C2211yescharacteristic
41C2×C22⋊(C7⋊C8)C2211yescharacteristic
42#89852—24no—
43#89828—24no—
44#89756—21no—
45#89756—21no—
46C2×#6382C2211yescharacteristic
47C2×#6382C2211yescharacteristic
48C2×#6381C2211yescharacteristic
49C2×#6381C2211yescharacteristic
50#89720—21no—
51#89720—21no—
52#89707C2211yescharacteristic
53#89700C2211yescharacteristic
54#89700C2211yescharacteristic
55C2×#6377C2211yescharacteristic
56C2×C4×C7⋊C8C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89324C2211yescharacteristic
61#89319C2211yescharacteristic
62#89319C2211yescharacteristic
63#25684—71nomaximal, Sylow
64C22×C7×Q8—21no—
65C22×C7×Q8C2311yescharacteristic
66C22×C7×D4—21no—
67C22×C7×D4C2311yescharacteristic
68C23×C4×C7—21no—
69C23×C4×C7C2311yescharacteristic
70C7×C4⋊Q8—22no—
71C7×C4⋊Q8D414yes—
72C7×#126—28no—
73C7×#124—28no—
74C7×#124—22no—
75C7×#124D414yes—
76C7×#123—28no—
77C7×C22⋊Q8—28no—
78C7×C22⋊Q8—22no—
79C7×C22⋊Q8—22no—
80C7×#121—22no—
81C7×#121—22no—
82C4×C7×Q8—22no—
83C4×C7×Q8—22no—
84C4×C7×D4—22no—
85C4×C7×D4—22no—
86C7×#117—22no—
87C7×#117—22no—
88C2×C7×C4⋊C4—21no—
89C2×C7×C4⋊C4—21no—
90C2×C7×C4⋊C4—21no—
91C2×C7×C4⋊C4D411yescharacteristic
92C2×C7×C4⋊C4D411yescharacteristic
93C2×C7×C4⋊C4C2311yescharacteristic
94C2×C7×C4⋊C4C2311yescharacteristic
95C2×C7×C22⋊C4—21no—
96C2×C7×C22⋊C4—21no—
97C2×C7×C22⋊C4—21no—
98C2×C7×C22⋊C4—21no—
99C2×C7×C22⋊C4—21no—
100C2×C7×C22⋊C4D411yescharacteristic
101C2×C7×C22⋊C4D411yescharacteristic
102C2×C42×C7—21no—
103C2×C42×C7C2311yescharacteristic
104C2×C42×C7C2311yescharacteristic
105C2×C22⋊Dic7—21no—
106C2×C22⋊Dic7—21no—
107C2×C4⋊Dic7—21no—
108C2×C4⋊Dic7—21no—
109C2×C4⋊Dic7C2311yescharacteristic
110C2×C4⋊Dic7C2311yescharacteristic
111C2×C4⋊Dic7C2311yescharacteristic
112C2×C4⋊Dic7C2311yescharacteristic
113C2×Dic7⋊C4—21no—
114C2×Dic7⋊C4—21no—
115C2×Dic7⋊C4—21no—
116C2×Dic7⋊C4—21no—
117C22×C7⋊C8C2311yescharacteristic
118C22×C7⋊C8C2311yescharacteristic
119C22×C7⋊C8C2311yescharacteristic
120C22×C7⋊C8C2311yescharacteristic
121#6433—22no—
122#6433—22no—
123#6409—22no—
124#6409—22no—
125#6409—22no—
126#6409—22no—
127#6406—22no—
128#6406—22no—
129#6406—22no—
130#6406—22no—
131C7⋊#95—21no—
132C7⋊#95—21no—
133C7⋊#95—21no—
134C7⋊#95—21no—
135C22⋊(C7⋊C8)—22no—
136C22⋊(C7⋊C8)—22no—
137#6382—22no—
138#6382—22no—
139#6381—22no—
140#6381—22no—
141#6377—22no—
142C4×C7⋊C8—22no—
143C2×#542D711yescharacteristic
144C2×#501—71no—
145C2×#488—71no—
146#2629—71no—
147#2036—71no—
148#2035—71no—
149#2034—71no—
150#2033—71no—
151#1990—71no—
152#1959—71no—
153#1865—71no—
154#1864—71no—
155#1863—71no—
156#1862—71no—
157#1750—71no—
158C24×C7—21no—
159C24×C7C2×D411yescharacteristic
160C2×C7×Q8—24no—
161C2×C7×Q8—21no—
162C2×C7×Q8—21no—
163C2×C7×Q8—21no—
164C2×C7×Q8—21no—
165C2×C7×Q8—21no—
166C2×C7×Q8—81no—
167C2×C7×Q8—81no—
168C2×C7×Q8C2×D412yes—
169C2×C7×D4—24no—
170C2×C7×D4—21no—
171C2×C7×D4—21no—
172C2×C7×D4—21no—
173C2×C7×D4—21no—
174C2×C7×D4—21no—
175C2×C7×D4—81no—
176C2×C7×D4—81no—
177C2×C7×D4C2×D412yes—
178C22×C4×C7—21no—
179C22×C4×C7—21no—
180C22×C4×C7—21no—
181C22×C4×C7—24no—
182C22×C4×C7—21no—
183C22×C4×C7—21no—
184C22×C4×C7—21no—
185C22×C4×C7—21no—
186C22×C4×C7—21no—
187C22×C4×C7—21no—
188C22×C4×C7—81no—
189C22×C4×C7—81no—
190C22×C4×C7C2×D411yescharacteristic
191C22×C4×C7C2×D411yescharacteristic
192C22×C4×C7C2×D411yescharacteristic
193C22×C4×C7C2×D411yescharacteristic
194C22×C4×C7C2×D411yescharacteristic
195C22×C4×C7C2411yescharacteristic
196C22×Dic7—21no—
197C22×Dic7—21no—
198C22×Dic7—21no—
199C22×Dic7—21no—
200C7×C4⋊C4—24no—
201C7×C4⋊C4—24no—
202C7×C4⋊C4—24no—
203C7×C4⋊C4—22no—
204C7×C4⋊C4—22no—
205C7×C4⋊C4—21no—
206C7×C4⋊C4—21no—
207C7×C4⋊C4C2×D412yes—
208C7×C4⋊C4C2×D412yes—
209C7×C22⋊C4—24no—
210C7×C22⋊C4—24no—
211C7×C22⋊C4—24no—
212C7×C22⋊C4—24no—
213C7×C22⋊C4—24no—
214C7×C22⋊C4—22no—
215C7×C22⋊C4—22no—
216C42×C7—24no—
217C42×C7—21no—
218C42×C7—21no—
219C42×C7C2×D412yes—
220C42×C7C2×D412yes—
221C22⋊Dic7—81no—
222C22⋊Dic7—81no—
223C4⋊Dic7—21no—
224C4⋊Dic7—21no—
225C4⋊Dic7—21no—
226C4⋊Dic7—21no—
227C4⋊Dic7—21no—
228C4⋊Dic7—21no—
229C4⋊Dic7—21no—
230C4⋊Dic7—21no—
231C4⋊Dic7—81no—
232C4⋊Dic7—81no—
233Dic7⋊C4—42no—
234Dic7⋊C4—42no—
235Dic7⋊C4—81no—
236Dic7⋊C4—81no—
237C2×C7⋊C8—21no—
238C2×C7⋊C8—21no—
239C2×C7⋊C8—21no—
240C2×C7⋊C8—21no—
241C2×C7⋊C8—21no—
242C2×C7⋊C8—21no—
243C2×C7⋊C8—21no—
244C2×C7⋊C8—21no—
245C2×C7⋊C8—21no—
246C2×C7⋊C8—21no—
247C2×C7⋊C8#4112yes—
248C2×C7⋊C8#4112yes—
249#542—24no—
250#542—24no—
251C2×C4⋊Q8C2×D711yescharacteristic
252C2×#126—21no—
253C2×#125—71no—
254C2×#124—21no—
255C2×#124C2×D711yescharacteristic
256C2×#123—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8C2×D711yescharacteristic
259C2×#121C2×D711yescharacteristic
260C2×C4×Q8C2×D711yescharacteristic
261C2×C4×D4C2×D711yescharacteristic
262C2×#117C2×D711yescharacteristic
263#501—144no—
264#488—144no—
265C2×#107—71no—
266C2×#107—71no—
267C2×#106—71no—
268C2×#106—71no—
269C2×#103—71no—
270C2×#103—71no—
271C2×#103—71no—
272C2×#103—71no—
273C2×#102—71no—
274C2×#102—71no—
275C2×#102—71no—
276C2×#102—71no—
277C2×C22⋊C8—71no—
278C2×C22⋊C8—71no—
279C2×#97—71no—
280C2×C4×C8—71no—
281#398—141no—
282#398—141no—
283#396—141no—
284#396—141no—
285#389—71no—
286#389—71no—
287#384—71no—
288#380—71no—
289#380—71no—
290#340—71no—
291#340—71no—
292#340—71no—
293#340—71no—
294#336—71no—
295#336—71no—
296C23×C7—21no—
297C23×C7—22no—
298C23×C7—21no—
299C23×C7—21no—
300C23×C7—21no—
301C23×C7—21no—
302C23×C7—21no—
303C23×C7—21no—
304C23×C7—41no—
305C23×C7—41no—
306C23×C7—41no—
307C23×C7—41no—
308C23×C7—41no—
309C23×C7—41no—
310C23×C7C22×D411yescharacteristic
311C7×Q8—22no—
312C7×Q8—22no—
313C7×Q8—41no—
314C7×Q8—41no—
315C7×Q8—84no—
316C7×D4—22no—
317C7×D4—22no—
318C7×D4—41no—
319C7×D4—41no—
320C7×D4—84no—
321C2×C4×C7—21no—
322C2×C4×C7—21no—
323C2×C4×C7—21no—
324C2×C4×C7—21no—
325C2×C4×C7—21no—
326C2×C4×C7—22no—
327C2×C4×C7—21no—
328C2×C4×C7—22no—
329C2×C4×C7—21no—
330C2×C4×C7—22no—
331C2×C4×C7—21no—
332C2×C4×C7—21no—
333C2×C4×C7—21no—
334C2×C4×C7—21no—
335C2×C4×C7—21no—
336C2×C4×C7—21no—
337C2×C4×C7—41no—
338C2×C4×C7—41no—
339C2×C4×C7—41no—
340C2×C4×C7—41no—
341C2×C4×C7—41no—
342C2×C4×C7—41no—
343C2×C4×C7—41no—
344C2×C4×C7—41no—
345C2×C4×C7—41no—
346C2×C4×C7—41no—
347C2×C4×C7—84no—
348C2×C4×C7#12012yes—
349C2×C4×C7#12012yes—
350C2×C4×C7C22×D411yescharacteristic
351C2×C4×C7C22×D411yescharacteristic
352C2×C4×C7C2×#4111yescharacteristic
353C2×C4×C7C2×#4111yescharacteristic
354C2×C4×C72−1+411yescharacteristic
355C2×C4×C72−1+411yescharacteristic
356C2×Dic7—41no—
357C2×Dic7—41no—
358C2×Dic7—41no—
359C2×Dic7—41no—
360C2×Dic7—41no—
361C2×Dic7—41no—
362C2×Dic7—41no—
363C2×Dic7—41no—
364C2×Dic7—41no—
365C2×Dic7—41no—
366C2×Dic7—41no—
367C2×Dic7—41no—
368C7⋊C8—22no—
369C7⋊C8—22no—
370C7⋊C8—41no—
371C7⋊C8—41no—
372C22×Q8—21no—
373C22×Q8C22×D711yescharacteristic
374C22×D4—21no—
375C22×D4C22×D711yescharacteristic
376C23×C4—21no—
377C23×C4C22×D711yescharacteristic
378C22×C8—71no—
379C22×C8—71no—
380C22×C8—71no—
381C22×C8—71no—
382C4⋊Q8—22no—
383C4⋊Q8C22⋊D714yes—
384#126—28no—
385#125—142no—
386#125—142no—
387#124—28no—
388#124—22no—
389#124C22⋊D714yes—
390#123—28no—
391C22⋊Q8—28no—
392C22⋊Q8—22no—
393C22⋊Q8—22no—
394#121—22no—
395#121—22no—
396C4×Q8—22no—
397C4×Q8—22no—
398C4×D4—22no—
399C4×D4—22no—
400#117—22no—
401#117—22no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—71no—
406C2×C4⋊C4—71no—
407C2×C4⋊C4—71no—
408C2×C4⋊C4—71no—
409C2×C4⋊C4—141no—
410C2×C4⋊C4—141no—
411C2×C4⋊C4—141no—
412C2×C4⋊C4—141no—
413C2×C4⋊C4—141no—
414C2×C4⋊C4—141no—
415C2×C4⋊C4C22⋊D711yescharacteristic
416C2×C4⋊C4C22⋊D711yescharacteristic
417C2×C4⋊C4C22×D711yescharacteristic
418C2×C4⋊C4C22×D711yescharacteristic
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—141no—
425C2×C22⋊C4—141no—
426C2×C22⋊C4C22⋊D711yescharacteristic
427C2×C22⋊C4C22⋊D711yescharacteristic
428C2×C42—21no—
429C2×C42C22×D711yescharacteristic
430C2×C42C22×D711yescharacteristic
431#107—142no—
432#107—142no—
433#106—142no—
434#106—142no—
435#103—142no—
436#103—142no—
437#103—142no—
438#103—142no—
439#102—142no—
440#102—142no—
441#102—142no—
442#102—142no—
443C22⋊C8—142no—
444C22⋊C8—142no—
445#97—142no—
446C4×C8—142no—
447#95—141no—
448#95—141no—
449#95—141no—
450#95—141no—
451C22×C7—41no—
452C22×C7—41no—
453C22×C7—41no—
454C22×C7—42no—
455C22×C7—41no—
456C22×C7—41no—
457C22×C7—42no—
458C22×C7—41no—
459C22×C7—41no—
460C22×C7—42no—
461C22×C7—81no—
462C22×C7—81no—
463C22×C7—81no—
464C22×C7—81no—
465C22×C7C2×#12011yescharacteristic
466C22×C7#53211yescharacteristic
467C22×C7#53611yescharacteristic
468C22×C7#57611yescharacteristic
469C22×C7#57711yescharacteristic
470C22×C7#57711yescharacteristic
471C22×C7#57811yescharacteristic
472C4×C7—22no—
473C4×C7—22no—
474C4×C7—41no—
475C4×C7—42no—
476C4×C7—41no—
477C4×C7—42no—
478C4×C7—42no—
479C4×C7—41no—
480C4×C7#54711yescharacteristic
481C4×C7#54711yescharacteristic
482C4×C7#54811yescharacteristic
483C4×C7#54811yescharacteristic
484Dic7—81no—
485Dic7—81no—
486Dic7—81no—
487Dic7—81no—
488C24—21no—
489C24C2×C22⋊D711yescharacteristic
490C2×Q8—24no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—81no—
497C2×Q8—81no—
498C2×Q8C2×C22⋊D712yes—
499C2×D4—24no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—81no—
506C2×D4—81no—
507C2×D4C2×C22⋊D712yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—24no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—141no—
521C22×C4—141no—
522C22×C4—141no—
523C22×C4—141no—
524C22×C4C2×C22⋊D711yescharacteristic
525C22×C4C2×C22⋊D711yescharacteristic
526C22×C4C2×C22⋊D711yescharacteristic
527C22×C4C2×C22⋊D711yescharacteristic
528C22×C4C2×C22⋊D711yescharacteristic
529C22×C4C23×D711yescharacteristic
530C2×C8—72no—
531C2×C8—72no—
532C2×C8—141no—
533C2×C8—141no—
534C2×C8—141no—
535C2×C8—141no—
536C2×C8—141no—
537C2×C8—141no—
538C2×C8—141no—
539C2×C8—141no—
540C2×C8—141no—
541C2×C8—141no—
542C4⋊C4—24no—
543C4⋊C4—24no—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—141no—
550C4⋊C4—141no—
551C4⋊C4—141no—
552C4⋊C4—141no—
553C4⋊C4—141no—
554C4⋊C4—141no—
555C4⋊C4—141no—
556C4⋊C4—141no—
557C4⋊C4—282no—
558C4⋊C4—282no—
559C4⋊C4—561no—
560C4⋊C4—561no—
561C4⋊C4—561no—
562C4⋊C4—561no—
563C4⋊C4C2×C22⋊D712yes—
564C4⋊C4C2×C22⋊D712yes—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—24no—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—561no—
573C22⋊C4—561no—
574C42—24no—
575C42—21no—
576C42—21no—
577C42C2×C22⋊D712yes—
578C42C2×C22⋊D712yes—
579C2×C7—81no—
580C2×C7—82no—
581C2×C7#243211yescharacteristic
582C2×C7#301211yescharacteristic
583C2×C7#301311yescharacteristic
584C2×C7#317811yescharacteristic
585C2×C7#317911yescharacteristic
586C2×C7#324311yescharacteristic
587C2×C7#324411yescharacteristic
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—22no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23C22×C22⋊D711yescharacteristic
603Q8—22no—
604Q8—22no—
605Q8—41no—
606Q8—41no—
607Q8—84no—
608D4—22no—
609D4—22no—
610D4—41no—
611D4—41no—
612D4—84no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—84no—
640C2×C4—281no—
641C2×C4—281no—
642C2×C4—281no—
643C2×C4—281no—
644C2×C4—281no—
645C2×C4—281no—
646C2×C4—281no—
647C2×C4—281no—
648C2×C4—281no—
649C2×C4—281no—
650C2×C4—281no—
651C2×C4—281no—
652C2×C4#651612yes—
653C2×C4#651612yes—
654C2×C4D7×#4111yescharacteristic
655C2×C4D7×#4111yescharacteristic
656C2×C4#655411yescharacteristic
657C2×C4#655411yescharacteristic
658C2×C4C22×C22⋊D711yescharacteristic
659C2×C4C22×C22⋊D711yescharacteristic
660C8—142no—
661C8—142no—
662C8—281no—
663C8—281no—
664C7#2568411yescharacteristic, complemented, Sylow
665C22—41no—
666C22—42no—
667C22—42no—
668C22—41no—
669C22—41no—
670C22—42no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—81no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22#9051611yescharacteristic
680C22#9052311yescharacteristic
681C22#9052611yescharacteristic
682C22#9052711yescharacteristic
683C22#9052811yescharacteristic
684C22#9052911yescharacteristic
685C22C2×#651611yescharacteristic
686C4—22no—
687C4—22no—
688C4—41no—
689C4—42no—
690C4—41no—
691C4—42no—
692C4—42no—
693C4—41no—
694C4—561no—
695C4—561no—
696C4—561no—
697C4—561no—
698C4#9051511yescharacteristic
699C4#9051511yescharacteristic
700C4#9052211yescharacteristic
701C4#9052211yescharacteristic
702C2—81no—
703C2—82no—
704C2#1174089911yescharacteristic
705C2#1174090011yescharacteristic
706C2#1174090311yescharacteristic
707C2#1174090411yescharacteristic
708C2#1174153811yescharacteristic
709C2#1174154711yescharacteristic
710C2#1174155911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutator, cosocleC22×C4×C7C24
FrattiniC22×C4C23×D7
FittingC2×C7×#542C2
socleC23×C7C22×D4
prime radicalC2×C7×#121C22
hypercenterC2×#542D7
hypocenterC7#25684
LCSG ▷ C22×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
2. C2×#89852C2semidirect
3. C2×#89828C2semidirect
4. #11739710C2semidirect
5. #11729541C2semidirect
6. #11729480C2semidirect
7. #11729449C2semidirect
8. #11729448C2semidirect
11. #11729383C2semidirect
12. #11729382C2semidirect
13. #11729361C2semidirect
14. #11729360C2semidirect
15. #11729336C2semidirect
664. C7#25684semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#5422
C2×#898522
C2×#898282
#117397102
#117295412
#117294802
#117294492
#117294482
#117294342
#117294332
#117293832
#117293822
#117293612
#117293602
#117293362
#256847