Finite Group Databasebeta

← C7×#24004 #13201220

Subgroups — C7×#24004 #13201220

Order 1792.

1520 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#525C211yesmaximal, characteristic
2C2×C7×#483C211yesmaximal, characteristic, complemented
3C2×C7×#480C211yesmaximal, characteristic, complemented
4C2×C7×#380C211yesmaximal, characteristic, complemented
5C7×#2036C212yesmaximal, complemented
6C7×#2034C212yesmaximal, complemented
7C7×#1874C211yesmaximal, characteristic, complemented
8C7×#1872C211yesmaximal, characteristic, complemented
9C7×#1854C212yesmaximal, complemented
10C7×#1788C212yesmaximal, complemented
11C7×#1779C211yesmaximal, characteristic, complemented
12C22×C7×#41C2211yescharacteristic
13C24×C4×C7C2211yescharacteristic
14C7×#525—24no—
15C7×#525—24no—
16C2×C7×#123—21no—
17C2×C7×C22⋊Q8C2211yescharacteristic
18C2×C7×C22⋊Q8C2211yescharacteristic
19C2×C7×#121C2211yescharacteristic
20C2×C7×#121C2211yescharacteristic
21C2×C7×#120—21no—
22C2×C4×C7×D4—21no—
23C2×C4×C7×D4—21no—
24C2×C7×#117C2211yescharacteristic
25C22×C7×C4⋊C4C2211yescharacteristic
26C22×C7×C4⋊C4C2211yescharacteristic
27C22×C7×C22⋊C4—21no—
28C7×#483—24no—
29C7×#480—24no—
30C2×C7×#107C2212yescomplemented
31C2×C7×#106C2212yescomplemented
32C2×C7×#103C2212yescomplemented
33C2×C7×#103C2212yescomplemented
34C2×C7×#102C2212yescomplemented
35C2×C7×#102C2212yescomplemented
36C2×C7×C22⋊C8C2212yes—
37C2×C7×C22⋊C8C2211yescharacteristic
38C2×C7×C22⋊C8C2211yescharacteristic
39C2×C7×C22⋊C8C2212yes—
40C7×#380—21no—
41C7×#380—21no—
42C7×#380C2212yes—
43C7×#380C2212yes—
44C2×C7×#95—21no—
45C7×#340C2212yescomplemented
46C7×#340C2212yescomplemented
47#24004C711yesmaximal, characteristic, direct product factor, Sylow
48C25×C7D411yescharacteristic
49C2×C7×#41—22no—
50C2×C7×#41—22no—
51C2×C7×#41—24no—
52C2×C7×#41—42no—
53C22×C7×Q8C2311yescharacteristic
54C22×C7×D4—21no—
55C22×C7×D4—21no—
56C22×C7×D4—21no—
57C22×C7×D4C2311yescharacteristic
58C23×C4×C7—21no—
59C23×C4×C7—22no—
60C23×C4×C7—22no—
61C23×C4×C7—24no—
62C23×C4×C7—21no—
63C23×C4×C7—21no—
64C23×C4×C7—42no—
65C23×C4×C7D411yescharacteristic
66C23×C4×C7D411yescharacteristic
67C23×C4×C7D411yescharacteristic
68C23×C4×C7C2311yescharacteristic
69C23×C4×C7C2311yescharacteristic
70C23×C4×C7C2311yescharacteristic
71C22×C7×C8C2312yes—
72C22×C7×C8C2312yes—
73C7×#123—28no—
74C7×C22⋊Q8—22no—
75C7×C22⋊Q8—22no—
76C7×C22⋊Q8—22no—
77C7×C22⋊Q8D414yes—
78C7×#121—22no—
79C7×#121—22no—
80C7×#121—22no—
81C7×#121D414yes—
82C7×#120—28no—
83C4×C7×D4—28no—
84C4×C7×D4—28no—
85C7×#117—22no—
86C7×#117—22no—
87C2×C7×C4⋊C4—21no—
88C2×C7×C4⋊C4—21no—
89C2×C7×C4⋊C4—22no—
90C2×C7×C4⋊C4—22no—
91C2×C7×C4⋊C4—21no—
92C2×C7×C4⋊C4—21no—
93C2×C7×C4⋊C4—42no—
94C2×C7×C4⋊C4C2312yes—
95C2×C7×C4⋊C4C2312yes—
96C2×C7×C4⋊C4C2311yescharacteristic
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C7×C22⋊C4—21no—
99C2×C7×C22⋊C4—21no—
100C2×C7×C22⋊C4—21no—
101C2×C7×C22⋊C4—21no—
102C2×C7×C22⋊C4—21no—
103C2×C7×C22⋊C4—22no—
104C2×C7×C22⋊C4—22no—
105C2×C7×C22⋊C4—44no—
106C2×C42×C7—21no—
107C7×#107—24no—
108C7×#106—24no—
109C7×#103—24no—
110C7×#103—42no—
111C7×#102—24no—
112C7×#102—42no—
113C7×C22⋊C8—22no—
114C7×C22⋊C8—22no—
115C7×C22⋊C8—24no—
116C7×C22⋊C8—42no—
117C7×#95—22no—
118C7×#95—22no—
119C2×#525C2×C711yescharacteristic
120C2×#483C2×C711yescharacteristic, complemented
121C2×#480C2×C711yescharacteristic, complemented
122C2×#380C2×C711yescharacteristic, complemented
123#2036C2×C712yescomplemented
124#2034C2×C712yescomplemented
125#1874C2×C711yescharacteristic, complemented
126#1872C2×C711yescharacteristic, complemented
127#1854C2×C712yescomplemented
128#1788C2×C712yescomplemented
129#1779C2×C711yescharacteristic, complemented
130C24×C7—22no—
131C24×C7—22no—
132C24×C7—22no—
133C24×C7—22no—
134C24×C7—22no—
135C24×C7—21no—
136C24×C7—41no—
137C24×C7—41no—
138C24×C7C2×D411yescharacteristic
139C24×C7C2×D411yescharacteristic
140C24×C7C2×D411yescharacteristic
141C7×#41—48no—
142C7×#41—48no—
143C2×C7×Q8—21no—
144C2×C7×Q8—22no—
145C2×C7×Q8—22no—
146C2×C7×Q8C2×D412yes—
147C2×C7×D4—24no—
148C2×C7×D4—24no—
149C2×C7×D4—24no—
150C2×C7×D4—21no—
151C2×C7×D4—22no—
152C2×C7×D4—22no—
153C2×C7×D4—42no—
154C2×C7×D4—42no—
155C2×C7×D4—42no—
156C2×C7×D4—42no—
157C2×C7×D4—42no—
158C2×C7×D4—42no—
159C2×C7×D4C2×D412yes—
160C22×C4×C7—21no—
161C22×C4×C7—21no—
162C22×C4×C7—22no—
163C22×C4×C7—22no—
164C22×C4×C7—22no—
165C22×C4×C7—24no—
166C22×C4×C7—22no—
167C22×C4×C7—22no—
168C22×C4×C7—21no—
169C22×C4×C7—21no—
170C22×C4×C7—21no—
171C22×C4×C7—22no—
172C22×C4×C7—22no—
173C22×C4×C7—22no—
174C22×C4×C7—22no—
175C22×C4×C7—21no—
176C22×C4×C7—21no—
177C22×C4×C7—22no—
178C22×C4×C7—22no—
179C22×C4×C7—22no—
180C22×C4×C7—22no—
181C22×C4×C7—41no—
182C22×C4×C7—41no—
183C22×C4×C7—41no—
184C22×C4×C7—48no—
185C22×C4×C7—48no—
186C22×C4×C7—42no—
187C22×C4×C7—42no—
188C22×C4×C7—42no—
189C22×C4×C7—42no—
190C22×C4×C7—42no—
191C22×C4×C7—42no—
192C22×C4×C7—42no—
193C22×C4×C7—42no—
194C22×C4×C7C2×D411yescharacteristic
195C22×C4×C7C2×D411yescharacteristic
196C22×C4×C7C2×D412yes—
197C22×C4×C7C2×D412yes—
198C22×C4×C7C2×D411yescharacteristic
199C22×C4×C7#4114yes—
200C22×C4×C7C2411yescharacteristic
201C2×C7×C8—22no—
202C2×C7×C8—22no—
203C2×C7×C8—22no—
204C2×C7×C8—22no—
205C2×C7×C8—22no—
206C2×C7×C8—22no—
207C7×C4⋊C4—24no—
208C7×C4⋊C4—24no—
209C7×C4⋊C4—21no—
210C7×C4⋊C4—21no—
211C7×C4⋊C4—22no—
212C7×C4⋊C4—22no—
213C7×C4⋊C4—22no—
214C7×C4⋊C4—22no—
215C7×C4⋊C4—42no—
216C7×C4⋊C4—42no—
217C7×C4⋊C4C2×D412yes—
218C7×C4⋊C4C2×D412yes—
219C7×C22⋊C4—24no—
220C7×C22⋊C4—24no—
221C7×C22⋊C4—24no—
222C7×C22⋊C4—24no—
223C7×C22⋊C4—24no—
224C7×C22⋊C4—44no—
225C7×C22⋊C4—44no—
226C42×C7—24no—
227C22×#41C22×C711yescharacteristic
228C24×C4C22×C711yescharacteristic
229#525—24no—
230#525—24no—
231C2×#123—21no—
232C2×C22⋊Q8C22×C711yescharacteristic
233C2×C22⋊Q8C22×C711yescharacteristic
234C2×#121C22×C711yescharacteristic
235C2×#121C22×C711yescharacteristic
236C2×#120—21no—
237C2×C4×D4—21no—
238C2×C4×D4—21no—
239C2×#117C22×C711yescharacteristic
240C22×C4⋊C4C22×C711yescharacteristic
241C22×C4⋊C4C22×C711yescharacteristic
242C22×C22⋊C4—21no—
243#483—24no—
244#480—24no—
245C2×#107C22×C712yescomplemented
246C2×#106C22×C712yescomplemented
247C2×#103C22×C712yescomplemented
248C2×#103C22×C712yescomplemented
249C2×#102C22×C712yescomplemented
250C2×#102C22×C712yescomplemented
251C2×C22⋊C8C22×C711yescharacteristic
252C2×C22⋊C8C22×C711yescharacteristic
253C2×C22⋊C8C22×C712yes—
254C2×C22⋊C8C22×C712yes—
255#380—21no—
256#380—21no—
257#380C22×C712yes—
258#380C22×C712yes—
259C2×#95—21no—
260#340C22×C712yescomplemented
261#340C22×C712yescomplemented
262C23×C7—21no—
263C23×C7—21no—
264C23×C7—21no—
265C23×C7—21no—
266C23×C7—28no—
267C23×C7—21no—
268C23×C7—21no—
269C23×C7—21no—
270C23×C7—21no—
271C23×C7—21no—
272C23×C7—21no—
273C23×C7—21no—
274C23×C7—21no—
275C23×C7—21no—
276C23×C7—21no—
277C23×C7—21no—
278C23×C7—21no—
279C23×C7—22no—
280C23×C7—44no—
281C23×C7—44no—
282C23×C7—44no—
283C23×C7—44no—
284C23×C7—44no—
285C23×C7—44no—
286C23×C7—41no—
287C23×C7—41no—
288C23×C7—41no—
289C23×C7—41no—
290C23×C7—41no—
291C23×C7—41no—
292C23×C7#12012yes—
293C23×C7#12312yes—
294C23×C7#13512yes—
295C23×C7AGL(1,ℤ/8)12yes—
296C23×C7#13712yes—
297C23×C7C22×D411yescharacteristic
298C7×Q8—24no—
299C7×Q8—42no—
300C7×D4—24no—
301C7×D4—48no—
302C7×D4—48no—
303C7×D4—48no—
304C7×D4—42no—
305C2×C4×C7—21no—
306C2×C4×C7—21no—
307C2×C4×C7—21no—
308C2×C4×C7—21no—
309C2×C4×C7—24no—
310C2×C4×C7—24no—
311C2×C4×C7—24no—
312C2×C4×C7—24no—
313C2×C4×C7—22no—
314C2×C4×C7—22no—
315C2×C4×C7—21no—
316C2×C4×C7—22no—
317C2×C4×C7—21no—
318C2×C4×C7—21no—
319C2×C4×C7—44no—
320C2×C4×C7—44no—
321C2×C4×C7—44no—
322C2×C4×C7—48no—
323C2×C4×C7—41no—
324C2×C4×C7—41no—
325C2×C4×C7—41no—
326C2×C4×C7—41no—
327C2×C4×C7—41no—
328C2×C4×C7—41no—
329C2×C4×C7—42no—
330C2×C4×C7—42no—
331C2×C4×C7—42no—
332C2×C4×C7—42no—
333C2×C4×C7—42no—
334C2×C4×C7—42no—
335C2×C4×C7—42no—
336C2×C4×C7—42no—
337C2×C4×C7—84no—
338C2×C4×C7—84no—
339C2×C4×C7#12012yes—
340C2×C4×C7#12312yes—
341C2×C4×C7C22×D411yescharacteristic
342C2×C4×C7C22×D411yescharacteristic
343C2×C4×C7C2×#4112yes—
344C2×C4×C7H(5,𝔽2)12yes—
345C7×C8—42no—
346C7×C8—42no—
347C25C7×D411yescharacteristic
348C2×#41—22no—
349C2×#41—22no—
350C2×#41—24no—
351C2×#41—42no—
352C22×Q8C23×C711yescharacteristic
353C22×D4—21no—
354C22×D4—21no—
355C22×D4—21no—
356C22×D4C23×C711yescharacteristic
357C23×C4—21no—
358C23×C4—22no—
359C23×C4—22no—
360C23×C4—24no—
361C23×C4—21no—
362C23×C4—21no—
363C23×C4—42no—
364C23×C4C7×D411yescharacteristic
365C23×C4C7×D411yescharacteristic
366C23×C4C7×D411yescharacteristic
367C23×C4C23×C711yescharacteristic
368C23×C4C23×C711yescharacteristic
369C23×C4C23×C711yescharacteristic
370C22×C8C23×C712yes—
371C22×C8C23×C712yes—
372#123—28no—
373C22⋊Q8—22no—
374C22⋊Q8—22no—
375C22⋊Q8—22no—
376C22⋊Q8C7×D414yes—
377#121—22no—
378#121—22no—
379#121—22no—
380#121C7×D414yes—
381#120—28no—
382C4×D4—28no—
383C4×D4—28no—
384#117—22no—
385#117—22no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—22no—
389C2×C4⋊C4—22no—
390C2×C4⋊C4—21no—
391C2×C4⋊C4—21no—
392C2×C4⋊C4—42no—
393C2×C4⋊C4C23×C712yes—
394C2×C4⋊C4C23×C712yes—
395C2×C4⋊C4C23×C711yescharacteristic
396C2×C4⋊C4C23×C711yescharacteristic
397C2×C22⋊C4—21no—
398C2×C22⋊C4—21no—
399C2×C22⋊C4—21no—
400C2×C22⋊C4—21no—
401C2×C22⋊C4—21no—
402C2×C22⋊C4—22no—
403C2×C22⋊C4—22no—
404C2×C22⋊C4—44no—
405C2×C42—21no—
406#107—24no—
407#106—24no—
408#103—24no—
409#103—42no—
410#102—24no—
411#102—42no—
412C22⋊C8—22no—
413C22⋊C8—22no—
414C22⋊C8—24no—
415C22⋊C8—42no—
416#95—22no—
417#95—22no—
418C22×C7—22no—
419C22×C7—22no—
420C22×C7—22no—
421C22×C7—22no—
422C22×C7—22no—
423C22×C7—22no—
424C22×C7—22no—
425C22×C7—22no—
426C22×C7—22no—
427C22×C7—22no—
428C22×C7—22no—
429C22×C7—22no—
430C22×C7—416no—
431C22×C7—41no—
432C22×C7—41no—
433C22×C7—41no—
434C22×C7—41no—
435C22×C7—41no—
436C22×C7—41no—
437C22×C7—41no—
438C22×C7—41no—
439C22×C7—42no—
440C22×C7—42no—
441C22×C7—42no—
442C22×C7—81no—
443C22×C7—81no—
444C22×C7—81no—
445C22×C7—81no—
446C22×C7#44914yes—
447C22×C7C2×#12011yescharacteristic
448C22×C7C2×#12311yescharacteristic
449C22×C7#53411yescharacteristic
450C22×C7C2×#13511yescharacteristic
451C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
452C22×C7C2×#13711yescharacteristic
453C22×C7#57511yescharacteristic
454C4×C7—22no—
455C4×C7—22no—
456C4×C7—41no—
457C4×C7—42no—
458C4×C7—42no—
459C4×C7—42no—
460C4×C7—82no—
461C4×C7—82no—
462C4×C7#54612yes—
463C4×C7#54612yes—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—21no—
470C24—41no—
471C24—41no—
472C24C2×C7×D411yescharacteristic
473C24C2×C7×D411yescharacteristic
474C24C2×C7×D411yescharacteristic
475#41—48no—
476#41—48no—
477C2×Q8—21no—
478C2×Q8—22no—
479C2×Q8—22no—
480C2×Q8C2×C7×D412yes—
481C2×D4—24no—
482C2×D4—24no—
483C2×D4—24no—
484C2×D4—21no—
485C2×D4—22no—
486C2×D4—22no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4C2×C7×D412yes—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4C2×C7×D411yescharacteristic
529C22×C4C2×C7×D411yescharacteristic
530C22×C4C2×C7×D412yes—
531C22×C4C2×C7×D412yes—
532C22×C4C2×C7×D411yescharacteristic
533C22×C4C7×#4114yes—
534C22×C4C24×C711yescharacteristic
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4C2×C7×D412yes—
552C4⋊C4C2×C7×D412yes—
553C22⋊C4—24no—
554C22⋊C4—24no—
555C22⋊C4—24no—
556C22⋊C4—24no—
557C22⋊C4—24no—
558C22⋊C4—44no—
559C22⋊C4—44no—
560C42—24no—
561C2×C7—24no—
562C2×C7—42no—
563C2×C7—42no—
564C2×C7—82no—
565C2×C7#240511yescharacteristic
566C2×C7C2×#44911yescharacteristic
567C2×C7#300711yescharacteristic
568C2×C7#309111yescharacteristic
569C2×C7#309211yescharacteristic
570C2×C7#319011yescharacteristic
571C2×C7#319411yescharacteristic
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—28no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—22no—
590C23—44no—
591C23—44no—
592C23—44no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23C7×#12012yes—
603C23C7×#12312yes—
604C23C7×#13512yes—
605C23C7×AGL(1,ℤ/8)12yes—
606C23C7×#13712yes—
607C23C22×C7×D411yescharacteristic
608Q8—24no—
609Q8—42no—
610D4—24no—
611D4—48no—
612D4—48no—
613D4—48no—
614D4—42no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—44no—
630C2×C4—44no—
631C2×C4—44no—
632C2×C4—48no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—84no—
648C2×C4—84no—
649C2×C4C7×#12012yes—
650C2×C4C7×#12312yes—
651C2×C4C22×C7×D411yescharacteristic
652C2×C4C22×C7×D411yescharacteristic
653C2×C4C2×C7×#4112yes—
654C2×C4C7×H(5,𝔽2)12yes—
655C8—42no—
656C8—42no—
657C7#2400411yescharacteristic, direct product factor, Sylow
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—416no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22C7×#44914yes—
687C22C2×C7×#12011yescharacteristic
688C22C2×C7×#12311yescharacteristic
689C22C7×#53411yescharacteristic
690C22C2×C7×#13511yescharacteristic
691C22C2×C7×AGL(1,ℤ/8)11yescharacteristic
692C22C2×C7×#13711yescharacteristic
693C22C7×#57511yescharacteristic
694C4—22no—
695C4—22no—
696C4—41no—
697C4—42no—
698C4—42no—
699C4—42no—
700C4—82no—
701C4—82no—
702C4C7×#54612yes—
703C4C7×#54612yes—
704C2—24no—
705C2—42no—
706C2—42no—
707C2—82no—
708C2C7×#240511yescharacteristic
709C2C2×C7×#44911yescharacteristic
710C2C7×#300711yescharacteristic
711C2C7×#309111yescharacteristic
712C2C7×#309211yescharacteristic
713C2C7×#319011yescharacteristic
714C2C7×#319411yescharacteristic
subgroupG/H
center, socleC23×C7C22×D4
commutator, Frattini, cosocleC22×C4C24×C7
prime radicalC2×C7×#525C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C7 ◁ C24×C4×C7 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C7×#483C2semidirect
3. C2×C7×#480C2semidirect
4. C2×C7×#380C2semidirect
5. C7×#2036C2semidirect
6. C7×#2034C2semidirect
7. C7×#1874C2semidirect
8. C7×#1872C2semidirect
9. C7×#1854C2semidirect
10. C7×#1788C2semidirect
11. C7×#1779C2semidirect
30. C2×C7×#107C22semidirect
31. C2×C7×#106C22semidirect
32. C2×C7×#103C22semidirect
33. C2×C7×#103C22semidirect
34. C2×C7×#102C22semidirect
35. C2×C7×#102C22semidirect
45. C7×#340C22semidirect
46. C7×#340C22semidirect
47. #24004C7direct (N × H)
120. C2×#483C2×C7semidirect
121. C2×#480C2×C7semidirect
122. C2×#380C2×C7semidirect
123. #2036C2×C7semidirect
124. #2034C2×C7semidirect
125. #1874C2×C7semidirect
126. #1872C2×C7semidirect
127. #1854C2×C7semidirect
128. #1788C2×C7semidirect
129. #1779C2×C7semidirect
245. C2×#107C22×C7semidirect
246. C2×#106C22×C7semidirect
247. C2×#103C22×C7semidirect
248. C2×#103C22×C7semidirect
249. C2×#102C22×C7semidirect
250. C2×#102C22×C7semidirect
260. #340C22×C7semidirect
261. #340C22×C7semidirect
657. C7#24004direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#5252
C2×C7×#4832
C2×C7×#4802
C2×C7×#3802
C7×#20362
C7×#20342
C7×#18742
C7×#18722
C7×#18542
C7×#17882
C7×#17792
#240047