Finite Group Databasebeta

← C7×#18425 #13195641

Subgroups — C7×#18425 #13195641

Order 1792.

994 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3536C211yesmaximal, characteristic
2C7×#3193C211yesmaximal, characteristic, complemented
3C7×#3190C211yesmaximal, characteristic, complemented
4C7×#2659C211yesmaximal, characteristic, complemented
5C7×#1610C212yesmaximal, complemented
6C7×#1609C212yesmaximal, complemented
7C7×#1604C212yesmaximal, complemented
8C7×#1603C212yesmaximal, complemented
9C7×#1504C211yesmaximal, characteristic, complemented
10C2×C7×#327C211yesmaximal, characteristic, complemented
11C7×#1472C211yesmaximal, characteristic, complemented
12C7×#562—22no—
13C7×#554—21no—
14C7×#548—21no—
15C7×#547—21no—
16C7×#546—21no—
17C7×#546—22no—
18C7×#543—21no—
19C7×#542—21no—
20C7×#539C2212yes—
21C7×#538—21no—
22C7×#537—21no—
23C7×#537C2212yes—
24C7×#525C2211yescharacteristic
25C2×C7×C22⋊Q8C2211yescharacteristic
26C2×C7×C22⋊Q8C2211yescharacteristic
27C2×C7×#121C2211yescharacteristic
28C7×#485—21no—
29C7×#484—21no—
30C7×#483C2211yescharacteristic, complemented
31C7×#480C2212yes—
32C7×#480C2211yescharacteristic, complemented
33C7×#468—22no—
34C7×#467—21no—
35C7×#465—21no—
36C7×#452—21no—
37C7×#451C2211yescharacteristic, complemented
38C7×#450—21no—
39C7×#448C2212yes—
40C7×#448C2211yescharacteristic, complemented
41C7×#407C2211yescharacteristic
42C2×C7×C22⋊C8C2211yescharacteristic
43C7×#398—21no—
44C7×#398C2212yescomplemented
45C7×#395—21no—
46C7×#395C2212yescomplemented
47C7×#380—22no—
48C2×C7×#95C2211yescharacteristic
49C7×#328C2212yescomplemented
50C7×#327C2212yes—
51C7×#327C2212yes—
52C7×#327C2212yescomplemented
53C7×#324C2212yescomplemented
54C7×#324C2212yescomplemented
55#18425C711yesmaximal, characteristic, direct product factor, Sylow
56C2×C7×#41—21no—
57C2×C7×#41—22no—
58C2×C7×#41D411yescharacteristic
59C22×C7×Q8D411yescharacteristic
60C22×C7×Q8C2311yescharacteristic
61C22×C7×D4—21no—
62C22×C7×D4D411yescharacteristic
63C23×C4×C7—21no—
64C23×C4×C7C2311yescharacteristic
65C2×C7×Q16—21no—
66C2×C7×SD16—22no—
67C2×C7×SD16—21no—
68C2×C7×M16—21no—
69C22×C7×C8—21no—
70C7×C4⋊Q8—21no—
71C7×#126—22no—
72C7×#125—22no—
73C7×#124—22no—
74C7×#124—21no—
75C7×#124—22no—
76C7×#123—22no—
77C7×#123—22no—
78C7×#123—22no—
79C7×#123—21no—
80C7×#123—22no—
81C7×C22⋊Q8—21no—
82C7×C22⋊Q8—22no—
83C7×C22⋊Q8—22no—
84C7×C22⋊Q8—22no—
85C7×C22⋊Q8—22no—
86C7×C22⋊Q8—21no—
87C7×C22⋊Q8—21no—
88C7×C22⋊Q8—21no—
89C7×C22⋊Q8—21no—
90C7×C22⋊Q8—22no—
91C7×C22⋊Q8—22no—
92C7×C22⋊Q8—21no—
93C7×C22⋊Q8—21no—
94C7×C22⋊Q8—21no—
95C7×C22⋊Q8—21no—
96C7×C22⋊Q8D411yescharacteristic
97C7×C22⋊Q8C2311yescharacteristic
98C7×#121—21no—
99C7×#121—22no—
100C7×#121—22no—
101C7×#121—22no—
102C7×#121—22no—
103C7×#121—21no—
104C7×#121—21no—
105C7×#121—22no—
106C7×#121D412yes—
107C7×#121D411yescharacteristic
108C7×#121C2312yes—
109C7×#121C2311yescharacteristic
110C7×#120—22no—
111C7×#120—21no—
112C4×C7×Q8—21no—
113C4×C7×D4—22no—
114C4×C7×D4—21no—
115C4×C7×D4—21no—
116C4×C7×D4—21no—
117C4×C7×D4—22no—
118C7×#117D411yescharacteristic
119C2×C7×C4⋊C4—21no—
120C2×C7×C4⋊C4—21no—
121C2×C7×C4⋊C4—22no—
122C2×C7×C4⋊C4—22no—
123C2×C7×C4⋊C4D411yescharacteristic
124C2×C7×C4⋊C4D411yescharacteristic
125C2×C7×C4⋊C4C2311yescharacteristic
126C2×C7×C4⋊C4C2312yes—
127C2×C7×C22⋊C4—22no—
128C2×C7×C22⋊C4—21no—
129C2×C7×C22⋊C4—21no—
130C2×C7×C22⋊C4D412yes—
131C7×#107—21no—
132C7×#107—22no—
133C7×#106—21no—
134C7×#103—21no—
135C7×#103—21no—
136C7×#103—22no—
137C7×#103—21no—
138C7×#102—22no—
139C7×#102—21no—
140C7×C22⋊C8—21no—
141C7×C22⋊C8—21no—
142C7×C22⋊C8C2312yes—
143C7×C22⋊C8C2311yescharacteristic
144C7×C22⋊C8C2311yescharacteristic
145C7×#95—21no—
146C7×#95—22no—
147C7×#95—22no—
148C7×#95C2312yes—
149#3536C2×C711yescharacteristic
150#3193C2×C711yescharacteristic, complemented
151#3190C2×C711yescharacteristic, complemented
152#2659C2×C711yescharacteristic, complemented
153#1610C2×C712yescomplemented
154#1609C2×C712yescomplemented
155#1604C2×C712yescomplemented
156#1603C2×C712yescomplemented
157#1504C2×C711yescharacteristic, complemented
158C2×#327C2×C711yescharacteristic, complemented
159#1472C2×C711yescharacteristic, complemented
160C24×C7—21no—
161C24×C7C2×D411yescharacteristic
162C7×#41—82no—
163C7×#41—82no—
164C7×#41—81no—
165C7×#41—82no—
166C2×C7×Q8—22no—
167C2×C7×Q8—21no—
168C2×C7×Q8—21no—
169C2×C7×Q8—21no—
170C2×C7×Q8—21no—
171C2×C7×Q8—81no—
172C2×C7×Q8—81no—
173C2×C7×Q8C2×D411yescharacteristic
174C2×C7×D4—21no—
175C2×C7×D4—21no—
176C2×C7×D4—22no—
177C2×C7×D4—22no—
178C2×C7×D4—22no—
179C2×C7×D4—21no—
180C2×C7×D4—22no—
181C2×C7×D4—21no—
182C2×C7×D4—81no—
183C2×C7×D4—81no—
184C2×C7×D4—81no—
185C2×C7×D4C2×D411yescharacteristic
186C2×C7×D4C2×D412yes—
187C22×C4×C7—22no—
188C22×C4×C7—22no—
189C22×C4×C7—22no—
190C22×C4×C7—22no—
191C22×C4×C7—24no—
192C22×C4×C7—21no—
193C22×C4×C7—21no—
194C22×C4×C7—21no—
195C22×C4×C7—21no—
196C22×C4×C7—81no—
197C22×C4×C7—81no—
198C22×C4×C7—81no—
199C22×C4×C7C2×D412yes—
200C22×C4×C7C2×D412yes—
201C22×C4×C7C2×D411yescharacteristic
202C22×C4×C7C2×D411yescharacteristic
203C22×C4×C7C2×D411yescharacteristic
204C22×C4×C7C2×D411yescharacteristic
205C22×C4×C7C2×D411yescharacteristic
206C22×C4×C7C2411yescharacteristic
207C7×Q16—81no—
208C7×SD16—81no—
209C7×SD16—82no—
210C7×M16—81no—
211C2×C7×C8—21no—
212C2×C7×C8—22no—
213C2×C7×C8—21no—
214C2×C7×C8—81no—
215C7×C4⋊C4—22no—
216C7×C4⋊C4—22no—
217C7×C4⋊C4—22no—
218C7×C4⋊C4—22no—
219C7×C4⋊C4—21no—
220C7×C4⋊C4—21no—
221C7×C4⋊C4—21no—
222C7×C4⋊C4—21no—
223C7×C4⋊C4—22no—
224C7×C4⋊C4—22no—
225C7×C4⋊C4—21no—
226C7×C4⋊C4—21no—
227C7×C4⋊C4—21no—
228C7×C4⋊C4—41no—
229C7×C4⋊C4—41no—
230C7×C4⋊C4—82no—
231C7×C4⋊C4—82no—
232C7×C4⋊C4C2×D411yescharacteristic
233C7×C4⋊C4C2×D412yes—
234C7×C4⋊C4C2×D411yescharacteristic
235C7×C22⋊C4—22no—
236C7×C22⋊C4—22no—
237C7×C22⋊C4—22no—
238C7×C22⋊C4—22no—
239C7×C22⋊C4—22no—
240C7×C22⋊C4—21no—
241C7×C22⋊C4—22no—
242C7×C22⋊C4—22no—
243C7×C22⋊C4—21no—
244C7×C22⋊C4—21no—
245C7×C22⋊C4—22no—
246C7×C22⋊C4—21no—
247C7×C22⋊C4—22no—
248C7×C22⋊C4—21no—
249C7×C22⋊C4—41no—
250C7×C22⋊C4—41no—
251C42×C7—22no—
252C42×C7—21no—
253#562—22no—
254#554—21no—
255#548—21no—
256#547—21no—
257#546—21no—
258#546—22no—
259#543—21no—
260#542—21no—
261#539C22×C712yes—
262#538—21no—
263#537—21no—
264#537C22×C712yes—
265#525C22×C711yescharacteristic
266C2×C22⋊Q8C22×C711yescharacteristic
267C2×C22⋊Q8C22×C711yescharacteristic
268C2×#121C22×C711yescharacteristic
269#485—21no—
270#484—21no—
271#483C22×C711yescharacteristic, complemented
272#480C22×C712yes—
273#480C22×C711yescharacteristic, complemented
274#468—22no—
275#467—21no—
276#465—21no—
277#452—21no—
278#451C22×C711yescharacteristic, complemented
279#450—21no—
280#448C22×C712yes—
281#448C22×C711yescharacteristic, complemented
282#407C22×C711yescharacteristic
283C2×C22⋊C8C22×C711yescharacteristic
284#398—21no—
285#398C22×C712yescomplemented
286#395—21no—
287#395C22×C712yescomplemented
288#380—22no—
289C2×#95C22×C711yescharacteristic
290#328C22×C712yescomplemented
291#327C22×C712yes—
292#327C22×C712yes—
293#327C22×C712yescomplemented
294#324C22×C712yescomplemented
295#324C22×C712yescomplemented
296C23×C7—21no—
297C23×C7—21no—
298C23×C7—22no—
299C23×C7—22no—
300C23×C7—21no—
301C23×C7—41no—
302C23×C7—42no—
303C23×C7—81no—
304C23×C7—81no—
305C23×C7#12011yescharacteristic
306C23×C7#12011yescharacteristic
307C23×C7C22×D411yescharacteristic
308C7×Q8—41no—
309C7×Q8—42no—
310C7×Q8—42no—
311C7×Q8—41no—
312C7×Q8—41no—
313C7×Q8—81no—
314C7×Q8—82no—
315C7×D4—42no—
316C7×D4—41no—
317C7×D4—42no—
318C7×D4—42no—
319C7×D4—41no—
320C7×D4—42no—
321C7×D4—41no—
322C7×D4—42no—
323C7×D4—82no—
324C7×D4—81no—
325C7×D4—82no—
326C7×D4—82no—
327C2×C4×C7—24no—
328C2×C4×C7—21no—
329C2×C4×C7—22no—
330C2×C4×C7—21no—
331C2×C4×C7—22no—
332C2×C4×C7—21no—
333C2×C4×C7—22no—
334C2×C4×C7—22no—
335C2×C4×C7—22no—
336C2×C4×C7—41no—
337C2×C4×C7—41no—
338C2×C4×C7—41no—
339C2×C4×C7—41no—
340C2×C4×C7—41no—
341C2×C4×C7—41no—
342C2×C4×C7—42no—
343C2×C4×C7—42no—
344C2×C4×C7—42no—
345C2×C4×C7—42no—
346C2×C4×C7—42no—
347C2×C4×C7—41no—
348C2×C4×C7—41no—
349C2×C4×C7—41no—
350C2×C4×C7—41no—
351C2×C4×C7—81no—
352C2×C4×C7—84no—
353C2×C4×C7—82no—
354C2×C4×C7—82no—
355C2×C4×C7—82no—
356C2×C4×C7#12011yescharacteristic
357C2×C4×C7#12011yescharacteristic
358C2×C4×C7C22×D411yescharacteristic
359C2×C4×C7C22×D411yescharacteristic
360C7×C8—41no—
361C7×C8—41no—
362C7×C8—42no—
363C2×#41—21no—
364C2×#41—22no—
365C2×#41C7×D411yescharacteristic
366C22×Q8C7×D411yescharacteristic
367C22×Q8C23×C711yescharacteristic
368C22×D4—21no—
369C22×D4C7×D411yescharacteristic
370C23×C4—21no—
371C23×C4C23×C711yescharacteristic
372C2×Q16—21no—
373C2×SD16—22no—
374C2×SD16—21no—
375C2×M16—21no—
376C22×C8—21no—
377C4⋊Q8—21no—
378#126—22no—
379#125—22no—
380#124—22no—
381#124—21no—
382#124—22no—
383#123—22no—
384#123—22no—
385#123—22no—
386#123—21no—
387#123—22no—
388C22⋊Q8—21no—
389C22⋊Q8—22no—
390C22⋊Q8—22no—
391C22⋊Q8—22no—
392C22⋊Q8—22no—
393C22⋊Q8—21no—
394C22⋊Q8—21no—
395C22⋊Q8—21no—
396C22⋊Q8—21no—
397C22⋊Q8—22no—
398C22⋊Q8—22no—
399C22⋊Q8—21no—
400C22⋊Q8—21no—
401C22⋊Q8—21no—
402C22⋊Q8—21no—
403C22⋊Q8C7×D411yescharacteristic
404C22⋊Q8C23×C711yescharacteristic
405#121—21no—
406#121—22no—
407#121—22no—
408#121—22no—
409#121—22no—
410#121—21no—
411#121—21no—
412#121—22no—
413#121C7×D412yes—
414#121C7×D411yescharacteristic
415#121C23×C712yes—
416#121C23×C711yescharacteristic
417#120—22no—
418#120—21no—
419C4×Q8—21no—
420C4×D4—22no—
421C4×D4—21no—
422C4×D4—21no—
423C4×D4—21no—
424C4×D4—22no—
425#117C7×D411yescharacteristic
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—22no—
429C2×C4⋊C4—22no—
430C2×C4⋊C4C7×D411yescharacteristic
431C2×C4⋊C4C7×D411yescharacteristic
432C2×C4⋊C4C23×C711yescharacteristic
433C2×C4⋊C4C23×C712yes—
434C2×C22⋊C4—22no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4C7×D412yes—
438#107—21no—
439#107—22no—
440#106—21no—
441#103—21no—
442#103—22no—
443#103—21no—
444#103—21no—
445#102—22no—
446#102—21no—
447C22⋊C8—21no—
448C22⋊C8—21no—
449C22⋊C8C23×C711yescharacteristic
450C22⋊C8C23×C711yescharacteristic
451C22⋊C8C23×C712yes—
452#95—21no—
453#95—22no—
454#95—22no—
455#95C23×C712yes—
456C22×C7—21no—
457C22×C7—21no—
458C22×C7—21no—
459C22×C7—21no—
460C22×C7—21no—
461C22×C7—21no—
462C22×C7—21no—
463C22×C7—42no—
464C22×C7—42no—
465C22×C7—41no—
466C22×C7—42no—
467C22×C7—41no—
468C22×C7—42no—
469C22×C7—41no—
470C22×C7—42no—
471C22×C7—162no—
472C22×C7#45612yes—
473C22×C7C2×#12011yescharacteristic
474C22×C7#57611yescharacteristic
475C22×C7#57711yescharacteristic
476C4×C7—21no—
477C4×C7—21no—
478C4×C7—21no—
479C4×C7—21no—
480C4×C7—44no—
481C4×C7—42no—
482C4×C7—42no—
483C4×C7—41no—
484C4×C7—41no—
485C4×C7—41no—
486C4×C7—42no—
487C4×C7—81no—
488C4×C7—81no—
489C24—21no—
490C24C2×C7×D411yescharacteristic
491#41—82no—
492#41—82no—
493#41—81no—
494#41—82no—
495C2×Q8—22no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—81no—
501C2×Q8—81no—
502C2×Q8C2×C7×D411yescharacteristic
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—21no—
509C2×D4—22no—
510C2×D4—21no—
511C2×D4—81no—
512C2×D4—81no—
513C2×D4—81no—
514C2×D4C2×C7×D411yescharacteristic
515C2×D4C2×C7×D412yes—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—24no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—81no—
526C22×C4—81no—
527C22×C4—81no—
528C22×C4C2×C7×D412yes—
529C22×C4C2×C7×D412yes—
530C22×C4C2×C7×D411yescharacteristic
531C22×C4C2×C7×D411yescharacteristic
532C22×C4C2×C7×D411yescharacteristic
533C22×C4C2×C7×D411yescharacteristic
534C22×C4C2×C7×D411yescharacteristic
535C22×C4C24×C711yescharacteristic
536Q16—81no—
537SD16—81no—
538SD16—82no—
539M16—81no—
540C2×C8—21no—
541C2×C8—22no—
542C2×C8—21no—
543C2×C8—81no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—41no—
558C4⋊C4—41no—
559C4⋊C4—82no—
560C4⋊C4—82no—
561C4⋊C4C2×C7×D411yescharacteristic
562C4⋊C4C2×C7×D412yes—
563C4⋊C4C2×C7×D411yescharacteristic
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—22no—
569C22⋊C4—21no—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—21no—
573C22⋊C4—21no—
574C22⋊C4—22no—
575C22⋊C4—21no—
576C22⋊C4—22no—
577C22⋊C4—21no—
578C22⋊C4—41no—
579C22⋊C4—41no—
580C42—22no—
581C42—21no—
582C2×C7—21no—
583C2×C7—22no—
584C2×C7—21no—
585C2×C7—41no—
586C2×C7—81no—
587C2×C7—82no—
588C2×C7#301211yescharacteristic
589C2×C7C2×#45611yescharacteristic
590C2×C7#302611yescharacteristic
591C23—21no—
592C23—21no—
593C23—22no—
594C23—22no—
595C23—21no—
596C23—41no—
597C23—42no—
598C23—81no—
599C23—81no—
600C23C7×#12011yescharacteristic
601C23C7×#12011yescharacteristic
602C23C22×C7×D411yescharacteristic
603Q8—41no—
604Q8—42no—
605Q8—42no—
606Q8—41no—
607Q8—41no—
608Q8—81no—
609Q8—82no—
610D4—42no—
611D4—41no—
612D4—42no—
613D4—42no—
614D4—41no—
615D4—42no—
616D4—41no—
617D4—42no—
618D4—82no—
619D4—81no—
620D4—82no—
621D4—82no—
622C2×C4—24no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—81no—
647C2×C4—84no—
648C2×C4—82no—
649C2×C4—82no—
650C2×C4—82no—
651C2×C4C7×#12011yescharacteristic
652C2×C4C7×#12011yescharacteristic
653C2×C4C22×C7×D411yescharacteristic
654C2×C4C22×C7×D411yescharacteristic
655C8—41no—
656C8—41no—
657C8—42no—
658C7#1842511yescharacteristic, direct product factor, Sylow
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—42no—
667C22—42no—
668C22—41no—
669C22—42no—
670C22—41no—
671C22—42no—
672C22—41no—
673C22—42no—
674C22—162no—
675C22C7×#45612yes—
676C22C2×C7×#12011yescharacteristic
677C22C7×#57611yescharacteristic
678C22C7×#57711yescharacteristic
679C4—21no—
680C4—21no—
681C4—21no—
682C4—21no—
683C4—44no—
684C4—42no—
685C4—42no—
686C4—41no—
687C4—41no—
688C4—41no—
689C4—42no—
690C4—81no—
691C4—81no—
692C2—21no—
693C2—22no—
694C2—21no—
695C2—41no—
696C2—82no—
697C2—81no—
698C2C7×#301211yescharacteristic
699C2C2×C7×#45611yescharacteristic
700C2C7×#302611yescharacteristic
subgroupG/H
center, socleC22×C7C2×#120
commutator, Frattini, cosocleC22×C4C24×C7
prime radicalC7×#3536C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C7 ◁ C23×C4×C7 ◁ G

Complements

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

NH ≅ G/Ntype
2. C7×#3193C2semidirect
3. C7×#3190C2semidirect
4. C7×#2659C2semidirect
5. C7×#1610C2semidirect
6. C7×#1609C2semidirect
7. C7×#1604C2semidirect
8. C7×#1603C2semidirect
9. C7×#1504C2semidirect
10. C2×C7×#327C2semidirect
11. C7×#1472C2semidirect
30. C7×#483C22semidirect
32. C7×#480C22semidirect
37. C7×#451C22semidirect
40. C7×#448C22semidirect
44. C7×#398C22semidirect
46. C7×#395C22semidirect
49. C7×#328C22semidirect
52. C7×#327C22semidirect
53. C7×#324C22semidirect
54. C7×#324C22semidirect
55. #18425C7direct (N × H)
150. #3193C2×C7semidirect
151. #3190C2×C7semidirect
152. #2659C2×C7semidirect
153. #1610C2×C7semidirect
154. #1609C2×C7semidirect
155. #1604C2×C7semidirect
156. #1603C2×C7semidirect
157. #1504C2×C7semidirect
158. C2×#327C2×C7semidirect
159. #1472C2×C7semidirect
271. #483C22×C7semidirect
273. #480C22×C7semidirect
278. #451C22×C7semidirect
281. #448C22×C7semidirect
285. #398C22×C7semidirect
287. #395C22×C7semidirect
290. #328C22×C7semidirect
293. #327C22×C7semidirect
294. #324C22×C7semidirect
295. #324C22×C7semidirect
658. C7#18425direct (N × H)

Maximal subgroups

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

subgroupindex
C7×#35362
C7×#31932
C7×#31902
C7×#26592
C7×#16102
C7×#16092
C7×#16042
C7×#16032
C7×#15042
C2×C7×#3272
C7×#14722
#184257