Finite Group Databasebeta

← C7×#23958 #13201174

Subgroups — C7×#23958 #13201174

Order 1792.

1174 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3495C211yesmaximal, characteristic
2C7×#3004C211yesmaximal, characteristic
3C2×C7×#419C211yesmaximal, characteristic, complemented
4C7×#2434C211yesmaximal, characteristic, complemented
5C7×#2028C212yesmaximal, complemented
6C7×#2005C212yesmaximal, complemented
7C7×#1901C211yesmaximal, characteristic, complemented
8C7×#1886C212yesmaximal, complemented
9C7×#1882C212yesmaximal, complemented
10C7×#1871C211yesmaximal, characteristic
11C7×#1826C211yesmaximal, characteristic, complemented
12C23×C7×Q8C2211yescharacteristic
13C2×C7×#137C2212yes—
14C22×C7×M16C2211yescharacteristic
15C7×#556—21no—
16C7×#554—21no—
17C7×#552—21no—
18C7×#552—22no—
19C7×#552—21no—
20C7×#551—22no—
21C7×#544C2211yescharacteristic
22C7×#542—21no—
23C7×#541—21no—
24C7×#536C2211yescharacteristic
25C7×#533—21no—
26C2×C7×C4⋊Q8C2212yes—
27C7×#529—21no—
28C7×#525C2211yescharacteristic
29C2×C7×C22⋊Q8C2211yescharacteristic
30C7×#520C2211yescharacteristic
31C7×#519C2211yescharacteristic
32C2×C7×#117C2211yescharacteristic
33C7×#451—21no—
34C7×#451—21no—
35C7×#448—21no—
36C7×#448—21no—
37C2×C7×#104C2212yes—
38C7×#419—21no—
39C7×#419—21no—
40C7×#419C2212yes—
41C7×#419C2212yes—
42C7×#419C2212yes—
43C2×C7×#103—21no—
44C2×C7×#103—21no—
45C2×C7×#101C2212yes—
46C7×#407C2211yescharacteristic
47C7×#395—22no—
48C7×#391C2212yes—
49C7×#385—22no—
50C4×C7×C22⋊C4C2211yescharacteristic
51C7×#343C2212yes—
52C7×#339C2212yes—
53C7×#339C2212yes—
54C7×#339C2212yes—
55#23958C711yesmaximal, characteristic, direct product factor, Sylow
56C2×C7×#41C2311yescharacteristic
57C22×C7×Q8—21no—
58C22×C7×Q8—24no—
59C22×C7×Q8—21no—
60C22×C7×Q8—21no—
61C22×C7×Q8—21no—
62C22×C7×Q8—21no—
63C22×C7×Q8—42no—
64C22×C7×Q8C2312yes—
65C22×C7×Q8C2311yescharacteristic
66C23×C4×C7—21no—
67C23×C4×C7C2311yescharacteristic
68C7×#137—24no—
69C7×#137—42no—
70C2×C7×Q16—22no—
71C2×C7×SD16—22no—
72C2×C7×M16—21no—
73C2×C7×M16—42no—
74C2×C7×M16C2312yes—
75C2×C7×M16C2312yes—
76C22×C7×C8—21no—
77C7×C4⋊Q8—21no—
78C7×C4⋊Q8—21no—
79C7×C4⋊Q8—21no—
80C7×C4⋊Q8—24no—
81C7×C4⋊Q8—42no—
82C7×#126—22no—
83C7×#126—22no—
84C7×#126—22no—
85C7×#126—22no—
86C7×#125—22no—
87C7×#125—22no—
88C7×#125—22no—
89C7×#125—21no—
90C7×#125—21no—
91C7×#124—22no—
92C7×#124—21no—
93C7×#123—22no—
94C7×#123—22no—
95C7×#123—21no—
96C7×#123—22no—
97C7×C22⋊Q8—22no—
98C7×C22⋊Q8—22no—
99C7×C22⋊Q8—21no—
100C7×C22⋊Q8—21no—
101C7×C22⋊Q8—21no—
102C7×C22⋊Q8—21no—
103C7×C22⋊Q8—22no—
104C7×C22⋊Q8—21no—
105C7×C22⋊Q8—21no—
106C7×C22⋊Q8D411yescharacteristic
107C7×C22⋊Q8D411yescharacteristic
108C7×#121D411yescharacteristic
109C7×#121D411yescharacteristic
110C7×#120—21no—
111C4×C7×Q8—22no—
112C4×C7×Q8—21no—
113C4×C7×Q8—21no—
114C4×C7×Q8—21no—
115C4×C7×Q8—21no—
116C4×C7×Q8—21no—
117C4×C7×D4—22no—
118C4×C7×D4—21no—
119C4×C7×D4—22no—
120C4×C7×D4—21no—
121C4×C7×D4—21no—
122C7×#117—22no—
123C7×#117—22no—
124C7×#117—21no—
125C7×#117—21no—
126C7×#117—22no—
127C7×#117—21no—
128C7×#117D411yescharacteristic
129C7×#117D411yescharacteristic
130C7×#117C2311yescharacteristic
131C7×#117C2311yescharacteristic
132C7×#117C2311yescharacteristic
133C2×C7×C4⋊C4—21no—
134C2×C7×C4⋊C4—24no—
135C2×C7×C4⋊C4D412yes—
136C2×C7×C4⋊C4D411yescharacteristic
137C2×C7×C4⋊C4D411yescharacteristic
138C2×C7×C4⋊C4C2311yescharacteristic
139C2×C7×C22⋊C4—21no—
140C2×C7×C22⋊C4—21no—
141C2×C7×C22⋊C4D412yes—
142C2×C42×C7—21no—
143C2×C42×C7C2312yes—
144C7×#104—42no—
145C7×#103—22no—
146C7×#103—22no—
147C7×#103—22no—
148C7×#103—22no—
149C7×#103—22no—
150C7×#103—22no—
151C7×#101—42no—
152C7×C22⋊C8—21no—
153C7×C22⋊C8—21no—
154C7×#95—21no—
155C7×#95—24no—
156#3495C2×C711yescharacteristic
157#3004C2×C711yescharacteristic
158C2×#419C2×C711yescharacteristic, complemented
159#2434C2×C711yescharacteristic, complemented
160#2028C2×C712yescomplemented
161#2005C2×C712yescomplemented
162#1901C2×C711yescharacteristic, complemented
163#1886C2×C712yescomplemented
164#1882C2×C712yescomplemented
165#1871C2×C711yescharacteristic
166#1826C2×C711yescharacteristic, complemented
167C24×C7C2×D411yescharacteristic
168C7×#41—22no—
169C7×#41—22no—
170C2×C7×Q8—22no—
171C2×C7×Q8—21no—
172C2×C7×Q8—21no—
173C2×C7×Q8—22no—
174C2×C7×Q8—22no—
175C2×C7×Q8—22no—
176C2×C7×Q8—24no—
177C2×C7×Q8—24no—
178C2×C7×Q8—22no—
179C2×C7×Q8—22no—
180C2×C7×Q8—22no—
181C2×C7×Q8—22no—
182C2×C7×Q8—44no—
183C2×C7×Q8—44no—
184C2×C7×Q8—44no—
185C2×C7×Q8—42no—
186C2×C7×Q8—42no—
187C2×C7×Q8—41no—
188C2×C7×Q8—41no—
189C2×C7×Q8C2×D411yescharacteristic
190C2×C7×Q8#4114yes—
191C2×C7×D4—21no—
192C2×C7×D4—21no—
193C2×C7×D4—21no—
194C2×C7×D4C2×D411yescharacteristic
195C22×C4×C7—22no—
196C22×C4×C7—22no—
197C22×C4×C7—21no—
198C22×C4×C7—22no—
199C22×C4×C7—22no—
200C22×C4×C7—22no—
201C22×C4×C7—21no—
202C22×C4×C7—21no—
203C22×C4×C7—44no—
204C22×C4×C7—41no—
205C22×C4×C7—41no—
206C22×C4×C7C2×D412yes—
207C22×C4×C7C2×D411yescharacteristic
208C22×C4×C7C2×D411yescharacteristic
209C22×C4×C7C2×D411yescharacteristic
210C22×C4×C7C2×D411yescharacteristic
211C22×C4×C7C2×D411yescharacteristic
212C22×C4×C7C2×D412yes—
213C22×C4×C7C2411yescharacteristic
214C7×Q16—44no—
215C7×SD16—44no—
216C7×M16—22no—
217C7×M16—22no—
218C7×M16—22no—
219C7×M16—22no—
220C7×M16—42no—
221C2×C7×C8—22no—
222C2×C7×C8—22no—
223C2×C7×C8—42no—
224C7×C4⋊C4—22no—
225C7×C4⋊C4—22no—
226C7×C4⋊C4—22no—
227C7×C4⋊C4—22no—
228C7×C4⋊C4—22no—
229C7×C4⋊C4—22no—
230C7×C4⋊C4—22no—
231C7×C4⋊C4—22no—
232C7×C4⋊C4—21no—
233C7×C4⋊C4—21no—
234C7×C4⋊C4—22no—
235C7×C4⋊C4—22no—
236C7×C4⋊C4—21no—
237C7×C4⋊C4—21no—
238C7×C4⋊C4—21no—
239C7×C4⋊C4—21no—
240C7×C4⋊C4—48no—
241C7×C4⋊C4C2×D411yescharacteristic
242C7×C4⋊C4C2×D411yescharacteristic
243C7×C4⋊C4C2×D411yescharacteristic
244C7×C4⋊C4C2×D411yescharacteristic
245C7×C4⋊C4C2×D411yescharacteristic
246C7×C4⋊C4C2×D411yescharacteristic
247C7×C22⋊C4—24no—
248C7×C22⋊C4—22no—
249C7×C22⋊C4—22no—
250C7×C22⋊C4—22no—
251C7×C22⋊C4—21no—
252C7×C22⋊C4—21no—
253C7×C22⋊C4—22no—
254C7×C22⋊C4—22no—
255C7×C22⋊C4—21no—
256C7×C22⋊C4—21no—
257C7×C22⋊C4—21no—
258C7×C22⋊C4—21no—
259C7×C22⋊C4—21no—
260C7×C22⋊C4—21no—
261C7×C22⋊C4—21no—
262C42×C7—22no—
263C42×C7—22no—
264C42×C7—22no—
265C42×C7—21no—
266C42×C7—21no—
267C42×C7—21no—
268C42×C7—21no—
269C42×C7—21no—
270C42×C7—22no—
271C42×C7—22no—
272C23×Q8C22×C711yescharacteristic
273C2×#137C22×C712yes—
274C22×M16C22×C711yescharacteristic
275#556—21no—
276#554—21no—
277#552—21no—
278#552—22no—
279#552—21no—
280#551—22no—
281#544C22×C711yescharacteristic
282#542—21no—
283#541—21no—
284#536C22×C711yescharacteristic
285#533—21no—
286C2×C4⋊Q8C22×C712yes—
287#529—21no—
288#525C22×C711yescharacteristic
289C2×C22⋊Q8C22×C711yescharacteristic
290#520C22×C711yescharacteristic
291#519C22×C711yescharacteristic
292C2×#117C22×C711yescharacteristic
293#451—21no—
294#451—21no—
295#448—21no—
296#448—21no—
297C2×#104C22×C712yes—
298#419—21no—
299#419—21no—
300#419C22×C712yes—
301#419C22×C712yes—
302#419C22×C712yes—
303C2×#103—21no—
304C2×#103—21no—
305C2×#101C22×C712yes—
306#407C22×C711yescharacteristic
307#395—22no—
308#391C22×C712yes—
309#385—22no—
310C4×C22⋊C4C22×C711yescharacteristic
311#343C22×C712yes—
312#339C22×C712yes—
313#339C22×C712yes—
314#339C22×C712yes—
315C23×C7—22no—
316C23×C7—22no—
317C23×C7—21no—
318C23×C7—41no—
319C23×C7#12011yescharacteristic
320C23×C7#12011yescharacteristic
321C23×C7C22×D411yescharacteristic
322C7×Q8—24no—
323C7×Q8—24no—
324C7×Q8—22no—
325C7×Q8—44no—
326C7×Q8—44no—
327C7×Q8—41no—
328C7×Q8—41no—
329C7×Q8—42no—
330C7×Q8—42no—
331C7×Q8—42no—
332C7×Q8—82no—
333C7×D4—22no—
334C7×D4—42no—
335C7×D4—42no—
336C7×D4—81no—
337C2×C4×C7—22no—
338C2×C4×C7—21no—
339C2×C4×C7—21no—
340C2×C4×C7—21no—
341C2×C4×C7—21no—
342C2×C4×C7—22no—
343C2×C4×C7—22no—
344C2×C4×C7—24no—
345C2×C4×C7—21no—
346C2×C4×C7—21no—
347C2×C4×C7—21no—
348C2×C4×C7—21no—
349C2×C4×C7—21no—
350C2×C4×C7—22no—
351C2×C4×C7—21no—
352C2×C4×C7—21no—
353C2×C4×C7—22no—
354C2×C4×C7—24no—
355C2×C4×C7—24no—
356C2×C4×C7—42no—
357C2×C4×C7—44no—
358C2×C4×C7—44no—
359C2×C4×C7—42no—
360C2×C4×C7—42no—
361C2×C4×C7—42no—
362C2×C4×C7—42no—
363C2×C4×C7—41no—
364C2×C4×C7—41no—
365C2×C4×C7—42no—
366C2×C4×C7—81no—
367C2×C4×C7—82no—
368C2×C4×C7#12011yescharacteristic
369C2×C4×C7#12011yescharacteristic
370C2×C4×C7C22×D411yescharacteristic
371C2×C4×C7C22×D411yescharacteristic
372C2×C4×C7C2×#4112yes—
373C2×C4×C7H(5,𝔽2)12yes—
374C7×C8—42no—
375C7×C8—42no—
376C2×#41C23×C711yescharacteristic
377C22×Q8—21no—
378C22×Q8—24no—
379C22×Q8—21no—
380C22×Q8—21no—
381C22×Q8—21no—
382C22×Q8—21no—
383C22×Q8—42no—
384C22×Q8C23×C712yes—
385C22×Q8C23×C711yescharacteristic
386C23×C4—21no—
387C23×C4C23×C711yescharacteristic
388#137—24no—
389#137—42no—
390C2×Q16—22no—
391C2×SD16—22no—
392C2×M16—21no—
393C2×M16—42no—
394C2×M16C23×C712yes—
395C2×M16C23×C712yes—
396C22×C8—21no—
397C4⋊Q8—21no—
398C4⋊Q8—21no—
399C4⋊Q8—21no—
400C4⋊Q8—24no—
401C4⋊Q8—42no—
402#126—22no—
403#126—22no—
404#126—22no—
405#126—22no—
406#125—22no—
407#125—22no—
408#125—22no—
409#125—21no—
410#125—21no—
411#124—22no—
412#124—21no—
413#123—22no—
414#123—22no—
415#123—21no—
416#123—22no—
417C22⋊Q8—22no—
418C22⋊Q8—22no—
419C22⋊Q8—21no—
420C22⋊Q8—21no—
421C22⋊Q8—21no—
422C22⋊Q8—21no—
423C22⋊Q8—22no—
424C22⋊Q8—21no—
425C22⋊Q8—21no—
426C22⋊Q8C7×D411yescharacteristic
427C22⋊Q8C7×D411yescharacteristic
428#121C7×D411yescharacteristic
429#121C7×D411yescharacteristic
430#120—21no—
431C4×Q8—22no—
432C4×Q8—21no—
433C4×Q8—21no—
434C4×Q8—21no—
435C4×Q8—21no—
436C4×Q8—21no—
437C4×D4—22no—
438C4×D4—21no—
439C4×D4—22no—
440C4×D4—21no—
441C4×D4—21no—
442#117—22no—
443#117—22no—
444#117—21no—
445#117—21no—
446#117—22no—
447#117—21no—
448#117C7×D411yescharacteristic
449#117C7×D411yescharacteristic
450#117C23×C711yescharacteristic
451#117C23×C711yescharacteristic
452#117C23×C711yescharacteristic
453C2×C4⋊C4—21no—
454C2×C4⋊C4—24no—
455C2×C4⋊C4C7×D412yes—
456C2×C4⋊C4C7×D411yescharacteristic
457C2×C4⋊C4C7×D411yescharacteristic
458C2×C4⋊C4C23×C711yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4C7×D412yes—
462C2×C42—21no—
463C2×C42C23×C712yes—
464#104—42no—
465#103—22no—
466#103—22no—
467#103—22no—
468#103—22no—
469#103—22no—
470#103—22no—
471#101—42no—
472C22⋊C8—21no—
473C22⋊C8—21no—
474#95—21no—
475#95—24no—
476C22×C7—21no—
477C22×C7—21no—
478C22×C7—21no—
479C22×C7—21no—
480C22×C7—21no—
481C22×C7—21no—
482C22×C7—21no—
483C22×C7—44no—
484C22×C7—41no—
485C22×C7—41no—
486C22×C7—41no—
487C22×C7#45612yes—
488C22×C7C2×#12011yescharacteristic
489C22×C7#54612yes—
490C4×C7—21no—
491C4×C7—21no—
492C4×C7—44no—
493C4×C7—42no—
494C4×C7—44no—
495C4×C7—41no—
496C4×C7—41no—
497C4×C7—41no—
498C4×C7—41no—
499C4×C7—42no—
500C4×C7—41no—
501C4×C7—41no—
502C4×C7—41no—
503C4×C7#52511yescharacteristic
504C4×C7#53511yescharacteristic
505C4×C7#54612yes—
506C24C2×C7×D411yescharacteristic
507#41—22no—
508#41—22no—
509C2×Q8—22no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—22no—
513C2×Q8—22no—
514C2×Q8—22no—
515C2×Q8—24no—
516C2×Q8—24no—
517C2×Q8—22no—
518C2×Q8—22no—
519C2×Q8—22no—
520C2×Q8—22no—
521C2×Q8—44no—
522C2×Q8—44no—
523C2×Q8—44no—
524C2×Q8—42no—
525C2×Q8—42no—
526C2×Q8—41no—
527C2×Q8—41no—
528C2×Q8C2×C7×D411yescharacteristic
529C2×Q8C7×#4114yes—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4C2×C7×D411yescharacteristic
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—21no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—44no—
543C22×C4—41no—
544C22×C4—41no—
545C22×C4C2×C7×D412yes—
546C22×C4C2×C7×D411yescharacteristic
547C22×C4C2×C7×D411yescharacteristic
548C22×C4C2×C7×D411yescharacteristic
549C22×C4C2×C7×D411yescharacteristic
550C22×C4C2×C7×D411yescharacteristic
551C22×C4C2×C7×D412yes—
552C22×C4C24×C711yescharacteristic
553Q16—44no—
554SD16—44no—
555M16—22no—
556M16—22no—
557M16—22no—
558M16—22no—
559M16—42no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—42no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—48no—
580C4⋊C4C2×C7×D411yescharacteristic
581C4⋊C4C2×C7×D411yescharacteristic
582C4⋊C4C2×C7×D411yescharacteristic
583C4⋊C4C2×C7×D411yescharacteristic
584C4⋊C4C2×C7×D411yescharacteristic
585C4⋊C4C2×C7×D411yescharacteristic
586C22⋊C4—24no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—21no—
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—21no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—21no—
605C42—21no—
606C42—21no—
607C42—21no—
608C42—21no—
609C42—22no—
610C42—22no—
611C2×C7—22no—
612C2×C7—22no—
613C2×C7—41no—
614C2×C7—81no—
615C2×C7#240411yescharacteristic
616C2×C7C2×#45611yescharacteristic
617C2×C7#302211yescharacteristic
618C23—22no—
619C23—22no—
620C23—21no—
621C23—41no—
622C23C7×#12011yescharacteristic
623C23C7×#12011yescharacteristic
624C23C22×C7×D411yescharacteristic
625Q8—24no—
626Q8—24no—
627Q8—22no—
628Q8—44no—
629Q8—44no—
630Q8—41no—
631Q8—41no—
632Q8—42no—
633Q8—42no—
634Q8—42no—
635Q8—82no—
636D4—22no—
637D4—42no—
638D4—42no—
639D4—81no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—42no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—81no—
670C2×C4—82no—
671C2×C4C7×#12011yescharacteristic
672C2×C4C7×#12011yescharacteristic
673C2×C4C22×C7×D411yescharacteristic
674C2×C4C22×C7×D411yescharacteristic
675C2×C4C2×C7×#4112yes—
676C2×C4C7×H(5,𝔽2)12yes—
677C8—42no—
678C8—42no—
679C7#2395811yescharacteristic, direct product factor, Sylow
680C22—21no—
681C22—21no—
682C22—21no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—44no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22C7×#45612yes—
692C22C2×C7×#12011yescharacteristic
693C22C7×#54612yes—
694C4—21no—
695C4—21no—
696C4—44no—
697C4—42no—
698C4—44no—
699C4—41no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—42no—
704C4—41no—
705C4—41no—
706C4—41no—
707C4C7×#52511yescharacteristic
708C4C7×#53511yescharacteristic
709C4C7×#54612yes—
710C2—22no—
711C2—22no—
712C2—41no—
713C2—81no—
714C2C7×#240411yescharacteristic
715C2C2×C7×#45611yescharacteristic
716C2C7×#302211yescharacteristic
subgroupG/H
center, socleC22×C7C2×#120
commutator, Frattini, cosocleC22×C4C24×C7
prime radicalC7×#525C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C7 ◁ C23×C4×C7 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×C7×#419C2semidirect
4. C7×#2434C2semidirect
5. C7×#2028C2semidirect
6. C7×#2005C2semidirect
7. C7×#1901C2semidirect
8. C7×#1886C2semidirect
9. C7×#1882C2semidirect
11. C7×#1826C2semidirect
55. #23958C7direct (N × H)
158. C2×#419C2×C7semidirect
159. #2434C2×C7semidirect
160. #2028C2×C7semidirect
161. #2005C2×C7semidirect
162. #1901C2×C7semidirect
163. #1886C2×C7semidirect
164. #1882C2×C7semidirect
166. #1826C2×C7semidirect
679. C7#23958direct (N × H)

Maximal subgroups

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

subgroupindex
C7×#34952
C7×#30042
C2×C7×#4192
C7×#24342
C7×#20282
C7×#20052
C7×#19012
C7×#18862
C7×#18822
C7×#18712
C7×#18262
#239587