Finite Group Databasebeta

← C7×#23936 #13201152

Subgroups — C7×#23936 #13201152

Order 1792.

1520 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#529C211yesmaximal, characteristic, complemented
2C2×C7×#450C211yesmaximal, characteristic, complemented
3C2×C7×#447C211yesmaximal, characteristic
4C2×C7×#390C211yesmaximal, characteristic, complemented
5C7×#2025C212yesmaximal, complemented
6C7×#2012C212yesmaximal, complemented
7C7×#1880C212yesmaximal, complemented
8C7×#1879C212yesmaximal, complemented
9C7×#1874C211yesmaximal, characteristic, complemented
10C7×#1872C211yesmaximal, characteristic, complemented
11C7×#1817C211yesmaximal, characteristic, complemented
12C23×C7×D4C2211yescharacteristic
13C22×C7×SD16C2212yes—
14C22×C7×D8C2212yes—
15C7×#529—24no—
16C7×#529—24no—
17C2×C7×#126—21no—
18C2×C7×#125C2211yescharacteristic, complemented
19C2×C7×#124C2211yescharacteristic, complemented
20C2×C7×#123—21no—
21C2×C7×C22⋊Q8C2211yescharacteristic
22C2×C7×#121C2211yescharacteristic
23C2×C4×C7×Q8C2211yescharacteristic, complemented
24C2×C4×C7×D4—21no—
25C2×C4×C7×D4C2211yescharacteristic, complemented
26C2×C7×#117—21no—
27C22×C7×C4⋊C4C2211yescharacteristic
28C22×C7×C22⋊C4—21no—
29C22×C7×C22⋊C4—21no—
30C22×C42×C7C2211yescharacteristic
31C7×#450—24no—
32C7×#447—24no—
33C2×C7×#103C2212yescomplemented
34C2×C7×#102C2212yes—
35C2×C7×#102C2212yes—
36C2×C7×#102C2212yescomplemented
37C2×C7×C22⋊C8C2211yescharacteristic
38C2×C7×C22⋊C8C2211yescharacteristic
39C7×#390—21no—
40C7×#390—21no—
41C7×#390C2212yes—
42C7×#390C2212yes—
43C7×#340C2212yescomplemented
44C7×#340C2212yescomplemented
45C7×#336C2212yescomplemented
46C7×#336C2212yescomplemented
47#23936C711yesmaximal, characteristic, direct product factor, Sylow
48C25×C7—21no—
49C22×C7×Q8C2311yescharacteristic
50C22×C7×D4—21no—
51C22×C7×D4—24no—
52C22×C7×D4—21no—
53C22×C7×D4—22no—
54C22×C7×D4—22no—
55C22×C7×D4—42no—
56C22×C7×D4C2311yescharacteristic
57C22×C7×D4C2312yes—
58C23×C4×C7—21no—
59C23×C4×C7—21no—
60C23×C4×C7D411yescharacteristic
61C23×C4×C7D411yescharacteristic
62C23×C4×C7C2311yescharacteristic
63C2×C7×SD16—24no—
64C2×C7×SD16—24no—
65C2×C7×SD16—42no—
66C2×C7×D8—24no—
67C2×C7×D8—24no—
68C2×C7×D8—42no—
69C22×C7×C8C2312yes—
70C22×C7×C8C2312yes—
71C7×#126—28no—
72C7×#125—22no—
73C7×#125—22no—
74C7×#124—22no—
75C7×#124—22no—
76C7×#123—28no—
77C7×C22⋊Q8—22no—
78C7×C22⋊Q8D414yes—
79C7×#121—22no—
80C7×#121D414yes—
81C4×C7×Q8—22no—
82C4×C7×Q8—22no—
83C4×C7×D4—28no—
84C4×C7×D4—22no—
85C4×C7×D4—22no—
86C7×#117—28no—
87C2×C7×C4⋊C4—21no—
88C2×C7×C4⋊C4—21no—
89C2×C7×C4⋊C4—21no—
90C2×C7×C4⋊C4—21no—
91C2×C7×C4⋊C4—21no—
92C2×C7×C4⋊C4—42no—
93C2×C7×C4⋊C4C2312yes—
94C2×C7×C4⋊C4C2311yescharacteristic
95C2×C7×C4⋊C4C2311yescharacteristic
96C2×C7×C22⋊C4—21no—
97C2×C7×C22⋊C4—21no—
98C2×C7×C22⋊C4—21no—
99C2×C7×C22⋊C4—21no—
100C2×C7×C22⋊C4—21no—
101C2×C7×C22⋊C4—22no—
102C2×C7×C22⋊C4—22no—
103C2×C7×C22⋊C4—22no—
104C2×C7×C22⋊C4—22no—
105C2×C7×C22⋊C4—44no—
106C2×C7×C22⋊C4—44no—
107C2×C42×C7—22no—
108C2×C42×C7—22no—
109C2×C42×C7—21no—
110C2×C42×C7D411yescharacteristic
111C2×C42×C7D411yescharacteristic
112C2×C42×C7C2311yescharacteristic
113C2×C42×C7C2311yescharacteristic
114C7×#103—42no—
115C7×#102—24no—
116C7×#102—24no—
117C7×#102—42no—
118C7×C22⋊C8—22no—
119C7×C22⋊C8—22no—
120C2×#529C2×C711yescharacteristic, complemented
121C2×#450C2×C711yescharacteristic, complemented
122C2×#447C2×C711yescharacteristic
123C2×#390C2×C711yescharacteristic, complemented
124#2025C2×C712yescomplemented
125#2012C2×C712yescomplemented
126#1880C2×C712yescomplemented
127#1879C2×C712yescomplemented
128#1874C2×C711yescharacteristic, complemented
129#1872C2×C711yescharacteristic, complemented
130#1817C2×C711yescharacteristic, complemented
131C24×C7—24no—
132C24×C7—21no—
133C24×C7—22no—
134C24×C7—42no—
135C24×C7—42no—
136C24×C7—42no—
137C24×C7—42no—
138C24×C7—42no—
139C24×C7—42no—
140C24×C7C2×D411yescharacteristic
141C2×C7×Q8—21no—
142C2×C7×Q8—22no—
143C2×C7×Q8—22no—
144C2×C7×Q8C2×D412yes—
145C2×C7×D4—24no—
146C2×C7×D4—24no—
147C2×C7×D4—22no—
148C2×C7×D4—22no—
149C2×C7×D4—21no—
150C2×C7×D4—22no—
151C2×C7×D4—22no—
152C2×C7×D4—22no—
153C2×C7×D4—22no—
154C2×C7×D4—22no—
155C2×C7×D4—48no—
156C2×C7×D4—48no—
157C2×C7×D4—42no—
158C2×C7×D4—42no—
159C2×C7×D4—42no—
160C2×C7×D4—42no—
161C2×C7×D4C2×D412yes—
162C2×C7×D4#4114yes—
163C22×C4×C7—22no—
164C22×C4×C7—22no—
165C22×C4×C7—24no—
166C22×C4×C7—22no—
167C22×C4×C7—22no—
168C22×C4×C7—22no—
169C22×C4×C7—22no—
170C22×C4×C7—21no—
171C22×C4×C7—21no—
172C22×C4×C7—21no—
173C22×C4×C7—22no—
174C22×C4×C7—22no—
175C22×C4×C7—41no—
176C22×C4×C7—42no—
177C22×C4×C7—42no—
178C22×C4×C7—42no—
179C22×C4×C7—42no—
180C22×C4×C7—42no—
181C22×C4×C7C2×D411yescharacteristic
182C22×C4×C7C2×D411yescharacteristic
183C22×C4×C7C2×D411yescharacteristic
184C22×C4×C7C2×D411yescharacteristic
185C22×C4×C7C2×D412yes—
186C22×C4×C7C2×D412yes—
187C22×C4×C7C2×D411yescharacteristic
188C22×C4×C7C2411yescharacteristic
189C7×SD16—48no—
190C7×D8—48no—
191C2×C7×C8—22no—
192C2×C7×C8—22no—
193C2×C7×C8—22no—
194C2×C7×C8—22no—
195C2×C7×C8—22no—
196C2×C7×C8—22no—
197C7×C4⋊C4—24no—
198C7×C4⋊C4—24no—
199C7×C4⋊C4—24no—
200C7×C4⋊C4—24no—
201C7×C4⋊C4—21no—
202C7×C4⋊C4—21no—
203C7×C4⋊C4—22no—
204C7×C4⋊C4—22no—
205C7×C4⋊C4—42no—
206C7×C4⋊C4C2×D412yes—
207C7×C4⋊C4C2×D412yes—
208C7×C22⋊C4—24no—
209C7×C22⋊C4—24no—
210C7×C22⋊C4—24no—
211C7×C22⋊C4—24no—
212C7×C22⋊C4—24no—
213C7×C22⋊C4—44no—
214C7×C22⋊C4—44no—
215C7×C22⋊C4—44no—
216C7×C22⋊C4—44no—
217C42×C7—24no—
218C42×C7—22no—
219C42×C7—22no—
220C42×C7—21no—
221C42×C7—21no—
222C42×C7—21no—
223C42×C7—21no—
224C23×D4C22×C711yescharacteristic
225C22×SD16C22×C712yes—
226C22×D8C22×C712yes—
227#529—24no—
228#529—24no—
229C2×#126—21no—
230C2×#125C22×C711yescharacteristic, complemented
231C2×#124C22×C711yescharacteristic, complemented
232C2×#123—21no—
233C2×C22⋊Q8C22×C711yescharacteristic
234C2×#121C22×C711yescharacteristic
235C2×C4×Q8C22×C711yescharacteristic, complemented
236C2×C4×D4—21no—
237C2×C4×D4C22×C711yescharacteristic, complemented
238C2×#117—21no—
239C22×C4⋊C4C22×C711yescharacteristic
240C22×C22⋊C4—21no—
241C22×C22⋊C4—21no—
242C22×C42C22×C711yescharacteristic
243#450—24no—
244#447—24no—
245C2×#103C22×C712yescomplemented
246C2×#102C22×C712yes—
247C2×#102C22×C712yes—
248C2×#102C22×C712yescomplemented
249C2×C22⋊C8C22×C711yescharacteristic
250C2×C22⋊C8C22×C711yescharacteristic
251#390—21no—
252#390—21no—
253#390C22×C712yes—
254#390C22×C712yes—
255#340C22×C712yescomplemented
256#340C22×C712yescomplemented
257#336C22×C712yescomplemented
258#336C22×C712yescomplemented
259C23×C7—21no—
260C23×C7—21no—
261C23×C7—21no—
262C23×C7—21no—
263C23×C7—22no—
264C23×C7—24no—
265C23×C7—48no—
266C23×C7—48no—
267C23×C7—48no—
268C23×C7—42no—
269C23×C7—41no—
270C23×C7—42no—
271C23×C7—41no—
272C23×C7—41no—
273C23×C7—42no—
274C23×C7—42no—
275C23×C7—42no—
276C23×C7—41no—
277C23×C7—41no—
278C23×C7—41no—
279C23×C7—42no—
280C23×C7—84no—
281C23×C7—84no—
282C23×C7—84no—
283C23×C7—84no—
284C23×C7#12012yes—
285C23×C7#13512yes—
286C23×C7AGL(1,ℤ/8)12yes—
287C23×C7C22×D411yescharacteristic
288C7×Q8—24no—
289C7×Q8—42no—
290C7×D4—24no—
291C7×D4—24no—
292C7×D4—24no—
293C7×D4—48no—
294C7×D4—48no—
295C7×D4—42no—
296C7×D4—42no—
297C7×D4—42no—
298C2×C4×C7—21no—
299C2×C4×C7—21no—
300C2×C4×C7—21no—
301C2×C4×C7—21no—
302C2×C4×C7—24no—
303C2×C4×C7—24no—
304C2×C4×C7—21no—
305C2×C4×C7—21no—
306C2×C4×C7—21no—
307C2×C4×C7—22no—
308C2×C4×C7—22no—
309C2×C4×C7—22no—
310C2×C4×C7—21no—
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7—21no—
314C2×C4×C7—21no—
315C2×C4×C7—21no—
316C2×C4×C7—44no—
317C2×C4×C7—48no—
318C2×C4×C7—41no—
319C2×C4×C7—41no—
320C2×C4×C7—41no—
321C2×C4×C7—41no—
322C2×C4×C7—41no—
323C2×C4×C7—41no—
324C2×C4×C7—44no—
325C2×C4×C7—42no—
326C2×C4×C7—42no—
327C2×C4×C7—42no—
328C2×C4×C7—84no—
329C2×C4×C7#12012yes—
330C2×C4×C7AGL(1,ℤ/8)12yes—
331C2×C4×C7C22×D411yescharacteristic
332C2×C4×C7C22×D411yescharacteristic
333C2×C4×C7C2×#4112yes—
334C2×C4×C7H(5,𝔽2)12yes—
335C7×C8—42no—
336C7×C8—42no—
337C25—21no—
338C22×Q8C23×C711yescharacteristic
339C22×D4—21no—
340C22×D4—24no—
341C22×D4—21no—
342C22×D4—22no—
343C22×D4—22no—
344C22×D4—42no—
345C22×D4C23×C711yescharacteristic
346C22×D4C23×C712yes—
347C23×C4—21no—
348C23×C4—21no—
349C23×C4C7×D411yescharacteristic
350C23×C4C7×D411yescharacteristic
351C23×C4C23×C711yescharacteristic
352C2×SD16—24no—
353C2×SD16—24no—
354C2×SD16—42no—
355C2×D8—24no—
356C2×D8—24no—
357C2×D8—42no—
358C22×C8C23×C712yes—
359C22×C8C23×C712yes—
360#126—28no—
361#125—22no—
362#125—22no—
363#124—22no—
364#124—22no—
365#123—28no—
366C22⋊Q8—22no—
367C22⋊Q8C7×D414yes—
368#121—22no—
369#121C7×D414yes—
370C4×Q8—22no—
371C4×Q8—22no—
372C4×D4—28no—
373C4×D4—22no—
374C4×D4—22no—
375#117—28no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—42no—
382C2×C4⋊C4C23×C712yes—
383C2×C4⋊C4C23×C711yescharacteristic
384C2×C4⋊C4C23×C711yescharacteristic
385C2×C22⋊C4—21no—
386C2×C22⋊C4—21no—
387C2×C22⋊C4—21no—
388C2×C22⋊C4—21no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—44no—
395C2×C22⋊C4—44no—
396C2×C42—21no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42C7×D411yescharacteristic
400C2×C42C7×D411yescharacteristic
401C2×C42C23×C711yescharacteristic
402C2×C42C23×C711yescharacteristic
403#103—42no—
404#102—24no—
405#102—24no—
406#102—42no—
407C22⋊C8—22no—
408C22⋊C8—22no—
409C22×C7—22no—
410C22×C7—22no—
411C22×C7—22no—
412C22×C7—22no—
413C22×C7—22no—
414C22×C7—22no—
415C22×C7—44no—
416C22×C7—44no—
417C22×C7—44no—
418C22×C7—42no—
419C22×C7—42no—
420C22×C7—42no—
421C22×C7—816no—
422C22×C7—81no—
423C22×C7—81no—
424C22×C7—81no—
425C22×C7—82no—
426C22×C7—81no—
427C22×C7—82no—
428C22×C7—82no—
429C22×C7—82no—
430C22×C7#44914yes—
431C22×C7C2×#12011yescharacteristic
432C22×C7#52511yescharacteristic
433C22×C7#53511yescharacteristic
434C22×C7C2×#13511yescharacteristic
435C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
436C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
437C22×C7#57511yescharacteristic
438C4×C7—22no—
439C4×C7—22no—
440C4×C7—42no—
441C4×C7—41no—
442C4×C7—41no—
443C4×C7—42no—
444C4×C7—41no—
445C4×C7—42no—
446C4×C7—82no—
447C4×C7#54612yes—
448C4×C7#54612yes—
449C24—24no—
450C24—21no—
451C24—22no—
452C24—42no—
453C24—42no—
454C24—42no—
455C24—42no—
456C24—42no—
457C24—42no—
458C24C2×C7×D411yescharacteristic
459C2×Q8—21no—
460C2×Q8—22no—
461C2×Q8—22no—
462C2×Q8C2×C7×D412yes—
463C2×D4—24no—
464C2×D4—24no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—21no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—48no—
474C2×D4—48no—
475C2×D4—42no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4C2×C7×D412yes—
480C2×D4C7×#4114yes—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—41no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4C2×C7×D411yescharacteristic
500C22×C4C2×C7×D411yescharacteristic
501C22×C4C2×C7×D411yescharacteristic
502C22×C4C2×C7×D411yescharacteristic
503C22×C4C2×C7×D412yes—
504C22×C4C2×C7×D412yes—
505C22×C4C2×C7×D411yescharacteristic
506C22×C4C24×C711yescharacteristic
507SD16—48no—
508D8—48no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—22no—
515C4⋊C4—24no—
516C4⋊C4—24no—
517C4⋊C4—24no—
518C4⋊C4—24no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—22no—
522C4⋊C4—22no—
523C4⋊C4—42no—
524C4⋊C4C2×C7×D412yes—
525C4⋊C4C2×C7×D412yes—
526C22⋊C4—24no—
527C22⋊C4—24no—
528C22⋊C4—24no—
529C22⋊C4—24no—
530C22⋊C4—24no—
531C22⋊C4—44no—
532C22⋊C4—44no—
533C22⋊C4—44no—
534C22⋊C4—44no—
535C42—24no—
536C42—22no—
537C42—22no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—21no—
542C2×C7—24no—
543C2×C7—82no—
544C2×C7—84no—
545C2×C7#240411yescharacteristic
546C2×C7C2×#44911yescharacteristic
547C2×C7#300611yescharacteristic
548C2×C7#310511yescharacteristic
549C2×C7#311411yescharacteristic
550C2×C7#321111yescharacteristic
551C2×C7#321711yescharacteristic
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—22no—
557C23—24no—
558C23—48no—
559C23—48no—
560C23—48no—
561C23—42no—
562C23—41no—
563C23—42no—
564C23—41no—
565C23—41no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—42no—
573C23—84no—
574C23—84no—
575C23—84no—
576C23—84no—
577C23C7×#12012yes—
578C23C7×#13512yes—
579C23C7×AGL(1,ℤ/8)12yes—
580C23C22×C7×D411yescharacteristic
581Q8—24no—
582Q8—42no—
583D4—24no—
584D4—24no—
585D4—24no—
586D4—48no—
587D4—48no—
588D4—42no—
589D4—42no—
590D4—42no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—44no—
610C2×C4—48no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—44no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—84no—
622C2×C4C7×#12012yes—
623C2×C4C7×AGL(1,ℤ/8)12yes—
624C2×C4C22×C7×D411yescharacteristic
625C2×C4C22×C7×D411yescharacteristic
626C2×C4C2×C7×#4112yes—
627C2×C4C7×H(5,𝔽2)12yes—
628C8—42no—
629C8—42no—
630C7#2393611yescharacteristic, direct product factor, Sylow
631C22—22no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—44no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—44no—
642C22—44no—
643C22—816no—
644C22—82no—
645C22—81no—
646C22—82no—
647C22—81no—
648C22—82no—
649C22—82no—
650C22—81no—
651C22—81no—
652C22C7×#44914yes—
653C22C2×C7×#12011yescharacteristic
654C22C7×#52511yescharacteristic
655C22C7×#53511yescharacteristic
656C22C2×C7×#13511yescharacteristic
657C22C2×C7×AGL(1,ℤ/8)11yescharacteristic
658C22C2×C7×AGL(1,ℤ/8)11yescharacteristic
659C22C7×#57511yescharacteristic
660C4—22no—
661C4—22no—
662C4—42no—
663C4—41no—
664C4—41no—
665C4—42no—
666C4—41no—
667C4—42no—
668C4—82no—
669C4C7×#54612yes—
670C4C7×#54612yes—
671C2—24no—
672C2—84no—
673C2—82no—
674C2C7×#240411yescharacteristic
675C2C2×C7×#44911yescharacteristic
676C2C7×#300611yescharacteristic
677C2C7×#310511yescharacteristic
678C2C7×#311411yescharacteristic
679C2C7×#321111yescharacteristic
680C2C7×#321711yescharacteristic
subgroupG/H
center, socleC23×C7C22×D4
commutator, Frattini, cosocleC22×C4C24×C7
prime radicalC2×C7×#447C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C7 ◁ C22×C42×C7 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C7×#529C2semidirect
2. C2×C7×#450C2semidirect
4. C2×C7×#390C2semidirect
5. C7×#2025C2semidirect
6. C7×#2012C2semidirect
7. C7×#1880C2semidirect
8. C7×#1879C2semidirect
9. C7×#1874C2semidirect
10. C7×#1872C2semidirect
11. C7×#1817C2semidirect
18. C2×C7×#125C22semidirect
19. C2×C7×#124C22semidirect
23. C2×C4×C7×Q8C22semidirect
25. C2×C4×C7×D4C22semidirect
33. C2×C7×#103C22semidirect
36. C2×C7×#102C22semidirect
43. C7×#340C22semidirect
44. C7×#340C22semidirect
45. C7×#336C22semidirect
46. C7×#336C22semidirect
47. #23936C7direct (N × H)
120. C2×#529C2×C7semidirect
121. C2×#450C2×C7semidirect
123. C2×#390C2×C7semidirect
124. #2025C2×C7semidirect
125. #2012C2×C7semidirect
126. #1880C2×C7semidirect
127. #1879C2×C7semidirect
128. #1874C2×C7semidirect
129. #1872C2×C7semidirect
130. #1817C2×C7semidirect
230. C2×#125C22×C7semidirect
231. C2×#124C22×C7semidirect
235. C2×C4×Q8C22×C7semidirect
237. C2×C4×D4C22×C7semidirect
245. C2×#103C22×C7semidirect
248. C2×#102C22×C7semidirect
255. #340C22×C7semidirect
256. #340C22×C7semidirect
257. #336C22×C7semidirect
258. #336C22×C7semidirect
630. C7#23936direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#5292
C2×C7×#4502
C2×C7×#4472
C2×C7×#3902
C7×#20252
C7×#20122
C7×#18802
C7×#18792
C7×#18742
C7×#18722
C7×#18172
#239367