Finite Group Databasebeta

← C7×#23997 #13201213

Subgroups — C7×#23997 #13201213

Order 1792.

1210 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3491C211yesmaximal, characteristic, complemented
2C7×#3026C211yesmaximal, characteristic
3C2×C7×#458C211yesmaximal, characteristic, complemented
4C7×#2883C211yesmaximal, characteristic, complemented
5C7×#2032C212yesmaximal, complemented
6C7×#2022C212yesmaximal, complemented
7C7×#1913C211yesmaximal, characteristic, complemented
8C7×#1913C212yesmaximal, complemented
9C7×#1899C212yesmaximal, complemented
10C7×#1890C211yesmaximal, characteristic, complemented
11C7×#1828C211yesmaximal, characteristic, complemented
12C2×C7×H(5,𝔽2)C2211yescharacteristic
13C7×#552—22no—
14C7×#552—22no—
15C7×#551—22no—
16C7×#551—22no—
17C7×#543C2211yescharacteristic, complemented
18C7×#539—22no—
19C7×#534C2212yes—
20C7×#534C2211yescharacteristic
21C7×#529—22no—
22C2×C7×#123C2212yes—
23C2×C7×#123C2211yescharacteristic
24C2×C7×#123C2211yescharacteristic, complemented
25C7×#518C2211yescharacteristic
26C7×#518C2211yescharacteristic
27C7×#518C2211yescharacteristic, complemented
28C2×C7×#117C2211yescharacteristic, complemented
29C7×#458—22no—
30C7×#458—22no—
31C7×#458—22no—
32C7×B(4,𝔽2)—22no—
33C7×#410—22no—
34C2×C7×#99—22no—
35C2×C7×#99C2212yes—
36C2×C7×#99C2212yes—
37C2×C7×#99C2212yes—
38C2×C7×#99C2211yescharacteristic
39C2×C7×#99C2211yescharacteristic
40C2×C7×#99C2212yes—
41C2×C7×#99C2212yescomplemented
42C7×#381C2212yescomplemented
43C7×#342C2212yescomplemented
44C7×#342C2212yescomplemented
45C7×#342C2212yescomplemented
46C7×#342C2212yescomplemented
47#23997C711yesmaximal, characteristic, direct product factor, Sylow
48C7×H(5,𝔽2)—22no—
49C7×H(5,𝔽2)—22no—
50C7×H(5,𝔽2)—42no—
51C2×C7×#41—21no—
52C2×C7×#41—22no—
53C22×C7×D4—21no—
54C22×C7×D4—22no—
55C22×C7×D4C2311yescharacteristic
56C22×C7×D4C2311yescharacteristic
57C22×C7×D4C2312yes—
58C23×C4×C7C2311yescharacteristic
59C7×#126—22no—
60C7×#126—22no—
61C7×#126—22no—
62C7×#126—22no—
63C7×#125—22no—
64C7×#125—22no—
65C7×#125—22no—
66C7×#124—22no—
67C7×#123—22no—
68C7×#123—22no—
69C7×#123—22no—
70C7×#123—21no—
71C7×#123—21no—
72C7×#123—21no—
73C7×#123—22no—
74C7×#123—22no—
75C7×#123—22no—
76C7×#123—22no—
77C7×#123—22no—
78C7×#123—42no—
79C7×#123D412yes—
80C7×#123D412yescomplemented
81C7×#123D412yescomplemented
82C7×C22⋊Q8—22no—
83C7×C22⋊Q8—22no—
84C7×C22⋊Q8—22no—
85C7×C22⋊Q8—22no—
86C7×C22⋊Q8—22no—
87C7×#121—22no—
88C7×#121—42no—
89C7×#120—21no—
90C7×#120—22no—
91C7×#120—22no—
92C7×#120D412yes—
93C4×C7×Q8—22no—
94C4×C7×D4—22no—
95C4×C7×D4—22no—
96C4×C7×D4—22no—
97C4×C7×D4—22no—
98C4×C7×D4—22no—
99C4×C7×D4—42no—
100C7×#117—22no—
101C7×#117—22no—
102C7×#117—21no—
103C7×#117—22no—
104C7×#117—22no—
105C7×#117—21no—
106C7×#117D412yescomplemented
107C2×C7×C4⋊C4—21no—
108C2×C7×C4⋊C4—21no—
109C2×C7×C4⋊C4—21no—
110C2×C7×C4⋊C4—22no—
111C2×C7×C22⋊C4—21no—
112C2×C7×C22⋊C4—21no—
113C2×C7×C22⋊C4—21no—
114C2×C7×C22⋊C4—21no—
115C2×C7×C22⋊C4—22no—
116C2×C7×C22⋊C4D412yescomplemented
117C2×C7×C22⋊C4C2312yes—
118C2×C7×C22⋊C4C2312yes—
119C2×C7×C22⋊C4C2312yes—
120C2×C7×C22⋊C4C2311yescharacteristic
121C2×C7×C22⋊C4C2311yescharacteristic
122C2×C7×C22⋊C4C2311yescharacteristic
123C2×C7×C22⋊C4C2311yescharacteristic
124C2×C42×C7—21no—
125C7×#99—22no—
126C7×#99—22no—
127C7×#99—24no—
128C7×#99—24no—
129C7×#99—24no—
130C7×#99—24no—
131C7×#99—42no—
132C7×#95—42no—
133#3491C2×C711yescharacteristic, complemented
134#3026C2×C711yescharacteristic
135C2×#458C2×C711yescharacteristic, complemented
136#2883C2×C711yescharacteristic, complemented
137#2032C2×C712yescomplemented
138#2022C2×C712yescomplemented
139#1913C2×C711yescharacteristic, complemented
140#1913C2×C712yescomplemented
141#1899C2×C712yescomplemented
142#1890C2×C711yescharacteristic, complemented
143#1828C2×C711yescharacteristic, complemented
144C24×C7—21no—
145C24×C7C2×D411yescharacteristic
146C24×C7C2×D411yescharacteristic
147C24×C7#4112yes—
148C24×C7C2411yescharacteristic
149C7×#41—44no—
150C7×#41—44no—
151C7×#41—42no—
152C7×#41—42no—
153C2×C7×Q8—21no—
154C2×C7×Q8—22no—
155C2×C7×D4—22no—
156C2×C7×D4—22no—
157C2×C7×D4—21no—
158C2×C7×D4—22no—
159C2×C7×D4—22no—
160C2×C7×D4—22no—
161C2×C7×D4—22no—
162C2×C7×D4—21no—
163C2×C7×D4—21no—
164C2×C7×D4—22no—
165C2×C7×D4—22no—
166C2×C7×D4—22no—
167C2×C7×D4—22no—
168C2×C7×D4—22no—
169C2×C7×D4—22no—
170C2×C7×D4—44no—
171C2×C7×D4—44no—
172C2×C7×D4—42no—
173C2×C7×D4—42no—
174C2×C7×D4—42no—
175C2×C7×D4C2×D412yes—
176C2×C7×D4C2×D412yes—
177C22×C4×C7—22no—
178C22×C4×C7—21no—
179C22×C4×C7—21no—
180C22×C4×C7—21no—
181C22×C4×C7—22no—
182C22×C4×C7—22no—
183C22×C4×C7—22no—
184C22×C4×C7—22no—
185C22×C4×C7—21no—
186C22×C4×C7—21no—
187C22×C4×C7—21no—
188C22×C4×C7—21no—
189C22×C4×C7—22no—
190C22×C4×C7—22no—
191C22×C4×C7—22no—
192C22×C4×C7—41no—
193C22×C4×C7C2×D411yescharacteristic
194C22×C4×C7C2×D411yescharacteristic
195C22×C4×C7C2×D411yescharacteristic
196C22×C4×C7C2×D411yescharacteristic
197C22×C4×C7#4112yes—
198C7×C4⋊C4—22no—
199C7×C4⋊C4—22no—
200C7×C4⋊C4—22no—
201C7×C4⋊C4—22no—
202C7×C4⋊C4—22no—
203C7×C4⋊C4—22no—
204C7×C4⋊C4—22no—
205C7×C4⋊C4—22no—
206C7×C4⋊C4—22no—
207C7×C4⋊C4—22no—
208C7×C4⋊C4—22no—
209C7×C4⋊C4—22no—
210C7×C4⋊C4—42no—
211C7×C4⋊C4—42no—
212C7×C4⋊C4—42no—
213C7×C4⋊C4—41no—
214C7×C22⋊C4—22no—
215C7×C22⋊C4—22no—
216C7×C22⋊C4—22no—
217C7×C22⋊C4—22no—
218C7×C22⋊C4—22no—
219C7×C22⋊C4—22no—
220C7×C22⋊C4—22no—
221C7×C22⋊C4—21no—
222C7×C22⋊C4—21no—
223C7×C22⋊C4—21no—
224C7×C22⋊C4—21no—
225C7×C22⋊C4—22no—
226C7×C22⋊C4—22no—
227C7×C22⋊C4—22no—
228C7×C22⋊C4—22no—
229C7×C22⋊C4—22no—
230C7×C22⋊C4—22no—
231C7×C22⋊C4—22no—
232C7×C22⋊C4—42no—
233C7×C22⋊C4—42no—
234C7×C22⋊C4—42no—
235C7×C22⋊C4—42no—
236C7×C22⋊C4—41no—
237C7×C22⋊C4C2×D412yes—
238C7×C22⋊C4C2×D412yes—
239C7×C22⋊C4C2×D412yes—
240C7×C22⋊C4C2×D412yes—
241C42×C7—22no—
242C42×C7—22no—
243C42×C7—22no—
244C42×C7—22no—
245C42×C7—41no—
246C2×H(5,𝔽2)C22×C711yescharacteristic
247#552—22no—
248#552—22no—
249#551—22no—
250#551—22no—
251#543C22×C711yescharacteristic, complemented
252#539—22no—
253#534C22×C712yes—
254#534C22×C711yescharacteristic
255#529—22no—
256C2×#123C22×C712yes—
257C2×#123C22×C711yescharacteristic
258C2×#123C22×C711yescharacteristic, complemented
259#518C22×C711yescharacteristic
260#518C22×C711yescharacteristic
261#518C22×C711yescharacteristic, complemented
262C2×#117C22×C711yescharacteristic, complemented
263#458—22no—
264#458—22no—
265#458—22no—
266B(4,𝔽2)—22no—
267#410—22no—
268C2×#99—22no—
269C2×#99C22×C711yescharacteristic
270C2×#99C22×C711yescharacteristic
271C2×#99C22×C712yes—
272C2×#99C22×C712yes—
273C2×#99C22×C712yes—
274C2×#99C22×C712yes—
275C2×#99C22×C712yescomplemented
276#381C22×C712yescomplemented
277#342C22×C712yescomplemented
278#342C22×C712yescomplemented
279#342C22×C712yescomplemented
280#342C22×C712yescomplemented
281C23×C7—21no—
282C23×C7—21no—
283C23×C7—21no—
284C23×C7—22no—
285C23×C7—22no—
286C23×C7—22no—
287C23×C7—22no—
288C23×C7—42no—
289C23×C7—81no—
290C23×C7—81no—
291C23×C7—81no—
292C23×C7—82no—
293C23×C7—161no—
294C23×C7#12012yes—
295C23×C7C22×D411yescharacteristic
296C23×C7C22×D411yescharacteristic
297C23×C7C22×D411yescharacteristic
298C23×C7C2×#4112yes—
299C23×C7H(5,𝔽2)12yes—
300C7×Q8—42no—
301C7×Q8—82no—
302C7×D4—24no—
303C7×D4—24no—
304C7×D4—42no—
305C7×D4—44no—
306C7×D4—42no—
307C7×D4—41no—
308C7×D4—41no—
309C7×D4—42no—
310C7×D4—42no—
311C7×D4—42no—
312C7×D4—42no—
313C7×D4—82no—
314C7×D4—162no—
315C2×C4×C7—21no—
316C2×C4×C7—21no—
317C2×C4×C7—21no—
318C2×C4×C7—22no—
319C2×C4×C7—22no—
320C2×C4×C7—21no—
321C2×C4×C7—22no—
322C2×C4×C7—22no—
323C2×C4×C7—21no—
324C2×C4×C7—22no—
325C2×C4×C7—22no—
326C2×C4×C7—22no—
327C2×C4×C7—22no—
328C2×C4×C7—22no—
329C2×C4×C7—22no—
330C2×C4×C7—44no—
331C2×C4×C7—42no—
332C2×C4×C7—41no—
333C2×C4×C7—41no—
334C2×C4×C7—42no—
335C2×C4×C7—42no—
336C2×C4×C7—42no—
337C2×C4×C7—42no—
338C2×C4×C7—81no—
339C2×C4×C7—82no—
340C2×C4×C7—82no—
341C2×C4×C7—81no—
342C2×C4×C7—81no—
343C2×C4×C7—81no—
344C2×C4×C7—82no—
345C2×C4×C7—82no—
346C2×C4×C7—82no—
347C2×C4×C7—161no—
348C2×C4×C7#12012yes—
349H(5,𝔽2)—22no—
350H(5,𝔽2)—22no—
351H(5,𝔽2)—42no—
352C2×#41—21no—
353C2×#41—22no—
354C22×D4—21no—
355C22×D4—22no—
356C22×D4C23×C711yescharacteristic
357C22×D4C23×C711yescharacteristic
358C22×D4C23×C712yes—
359C23×C4C23×C711yescharacteristic
360#126—22no—
361#126—22no—
362#126—22no—
363#126—22no—
364#125—22no—
365#125—22no—
366#125—22no—
367#124—22no—
368#123—22no—
369#123—22no—
370#123—22no—
371#123—21no—
372#123—21no—
373#123—21no—
374#123—22no—
375#123—22no—
376#123—22no—
377#123—22no—
378#123—22no—
379#123—42no—
380#123C7×D412yes—
381#123C7×D412yescomplemented
382#123C7×D412yescomplemented
383C22⋊Q8—22no—
384C22⋊Q8—22no—
385C22⋊Q8—22no—
386C22⋊Q8—22no—
387C22⋊Q8—22no—
388#121—22no—
389#121—42no—
390#120—21no—
391#120—22no—
392#120—22no—
393#120C7×D412yes—
394C4×Q8—22no—
395C4×D4—22no—
396C4×D4—22no—
397C4×D4—22no—
398C4×D4—22no—
399C4×D4—22no—
400C4×D4—42no—
401#117—22no—
402#117—22no—
403#117—21no—
404#117—22no—
405#117—22no—
406#117—21no—
407#117C7×D412yescomplemented
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—22no—
412C2×C22⋊C4—21no—
413C2×C22⋊C4—21no—
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—22no—
417C2×C22⋊C4C7×D412yescomplemented
418C2×C22⋊C4C23×C712yes—
419C2×C22⋊C4C23×C712yes—
420C2×C22⋊C4C23×C712yes—
421C2×C22⋊C4C23×C711yescharacteristic
422C2×C22⋊C4C23×C711yescharacteristic
423C2×C22⋊C4C23×C711yescharacteristic
424C2×C22⋊C4C23×C711yescharacteristic
425C2×C42—21no—
426#99—22no—
427#99—22no—
428#99—24no—
429#99—24no—
430#99—24no—
431#99—24no—
432#99—42no—
433#95—42no—
434C22×C7—22no—
435C22×C7—41no—
436C22×C7—42no—
437C22×C7—41no—
438C22×C7—41no—
439C22×C7—42no—
440C22×C7—42no—
441C22×C7—42no—
442C22×C7—42no—
443C22×C7—41no—
444C22×C7—81no—
445C22×C7—81no—
446C22×C7—82no—
447C22×C7—82no—
448C22×C7—82no—
449C22×C7—82no—
450C22×C7—162no—
451C22×C7C2×#12011yescharacteristic
452C22×C7#52511yescharacteristic
453C22×C7#53511yescharacteristic
454C22×C7#54612yes—
455C22×C7#54612yes—
456C4×C7—22no—
457C4×C7—42no—
458C4×C7—42no—
459C4×C7—42no—
460C4×C7—42no—
461C4×C7—41no—
462C4×C7—41no—
463C4×C7—42no—
464C4×C7—41no—
465C4×C7—82no—
466C4×C7—82no—
467C4×C7—82no—
468C24—21no—
469C24C2×C7×D411yescharacteristic
470C24C2×C7×D411yescharacteristic
471C24C7×#4112yes—
472C24C24×C711yescharacteristic
473#41—44no—
474#41—44no—
475#41—42no—
476#41—42no—
477C2×Q8—21no—
478C2×Q8—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—21no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—22no—
485C2×D4—22no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—22no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—44no—
495C2×D4—44no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4C2×C7×D412yes—
500C2×D4C2×C7×D412yes—
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—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—41no—
517C22×C4C2×C7×D411yescharacteristic
518C22×C4C2×C7×D411yescharacteristic
519C22×C4C2×C7×D411yescharacteristic
520C22×C4C2×C7×D411yescharacteristic
521C22×C4C7×#4112yes—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—41no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—21no—
548C22⋊C4—21no—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—22no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—22no—
556C22⋊C4—42no—
557C22⋊C4—42no—
558C22⋊C4—42no—
559C22⋊C4—42no—
560C22⋊C4—41no—
561C22⋊C4C2×C7×D412yes—
562C22⋊C4C2×C7×D412yes—
563C22⋊C4C2×C7×D412yes—
564C22⋊C4C2×C7×D412yes—
565C42—22no—
566C42—22no—
567C42—22no—
568C42—22no—
569C42—41no—
570C2×C7—21no—
571C2×C7—21no—
572C2×C7—22no—
573C2×C7—22no—
574C2×C7—21no—
575C2×C7—42no—
576C2×C7—81no—
577C2×C7—82no—
578C2×C7#240411yescharacteristic
579C23—21no—
580C23—21no—
581C23—21no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—42no—
587C23—81no—
588C23—81no—
589C23—81no—
590C23—82no—
591C23—161no—
592C23C7×#12012yes—
593C23C22×C7×D411yescharacteristic
594C23C22×C7×D411yescharacteristic
595C23C22×C7×D411yescharacteristic
596C23C2×C7×#4112yes—
597C23C7×H(5,𝔽2)12yes—
598Q8—42no—
599Q8—82no—
600D4—24no—
601D4—24no—
602D4—42no—
603D4—44no—
604D4—42no—
605D4—41no—
606D4—41no—
607D4—42no—
608D4—42no—
609D4—42no—
610D4—42no—
611D4—82no—
612D4—162no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—44no—
629C2×C4—42no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—81no—
637C2×C4—82no—
638C2×C4—82no—
639C2×C4—81no—
640C2×C4—81no—
641C2×C4—81no—
642C2×C4—82no—
643C2×C4—82no—
644C2×C4—82no—
645C2×C4—161no—
646C2×C4C7×#12012yes—
647C7#2399711yescharacteristic, direct product factor, Sylow
648C22—22no—
649C22—41no—
650C22—42no—
651C22—41no—
652C22—41no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—41no—
658C22—81no—
659C22—81no—
660C22—82no—
661C22—82no—
662C22—82no—
663C22—82no—
664C22—162no—
665C22C2×C7×#12011yescharacteristic
666C22C7×#52511yescharacteristic
667C22C7×#53511yescharacteristic
668C22C7×#54612yes—
669C22C7×#54612yes—
670C4—22no—
671C4—42no—
672C4—42no—
673C4—42no—
674C4—42no—
675C4—42no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—82no—
680C4—82no—
681C4—82no—
682C2—21no—
683C2—21no—
684C2—22no—
685C2—22no—
686C2—21no—
687C2—42no—
688C2—81no—
689C2—82no—
690C2C7×#240411yescharacteristic
subgroupG/H
center, socleC2×C7#2404
commutator, Frattini, cosocleC24C24×C7
prime radicalC7×#3026C2
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C2×C7 ◁ C24×C7 ◁ G

Complements

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

NH ≅ G/Ntype
1. C7×#3491C2semidirect
3. C2×C7×#458C2semidirect
4. C7×#2883C2semidirect
5. C7×#2032C2semidirect
6. C7×#2022C2semidirect
7. C7×#1913C2semidirect
8. C7×#1913C2semidirect
9. C7×#1899C2semidirect
10. C7×#1890C2semidirect
11. C7×#1828C2semidirect
17. C7×#543C22semidirect
24. C2×C7×#123C22semidirect
27. C7×#518C22semidirect
28. C2×C7×#117C22semidirect
41. C2×C7×#99C22semidirect
42. C7×#381C22semidirect
43. C7×#342C22semidirect
44. C7×#342C22semidirect
45. C7×#342C22semidirect
46. C7×#342C22semidirect
47. #23997C7direct (N × H)
80. C7×#123D4semidirect
81. C7×#123D4semidirect
106. C7×#117D4semidirect
116. C2×C7×C22⋊C4D4semidirect
133. #3491C2×C7semidirect
135. C2×#458C2×C7semidirect
136. #2883C2×C7semidirect
137. #2032C2×C7semidirect
138. #2022C2×C7semidirect
139. #1913C2×C7semidirect
140. #1913C2×C7semidirect
141. #1899C2×C7semidirect
142. #1890C2×C7semidirect
143. #1828C2×C7semidirect
251. #543C22×C7semidirect
258. C2×#123C22×C7semidirect
261. #518C22×C7semidirect
262. C2×#117C22×C7semidirect
275. C2×#99C22×C7semidirect
276. #381C22×C7semidirect
277. #342C22×C7semidirect
278. #342C22×C7semidirect
279. #342C22×C7semidirect
280. #342C22×C7semidirect
381. #123C7×D4semidirect
382. #123C7×D4semidirect
407. #117C7×D4semidirect
417. C2×C22⋊C4C7×D4semidirect
647. C7#23997direct (N × H)

Maximal subgroups

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

subgroupindex
C7×#34912
C7×#30262
C2×C7×#4582
C7×#28832
C7×#20322
C7×#20222
C7×#19132
C7×#18992
C7×#18902
C7×#18282
#239977