Finite Group Databasebeta

← C7×#16606 #13193822

Subgroups — C7×#16606 #13193822

Order 1792.

1794 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×C22⋊Q8C211yesmaximal, characteristic
2C2×C7×#398C211yesmaximal, characteristic, complemented
3C2×C7×#395C211yesmaximal, characteristic, complemented
4C2×C7×#385C211yesmaximal, characteristic
5C7×#1446C211yesmaximal, characteristic, complemented
6C7×#1445C211yesmaximal, characteristic, complemented
7C7×#1444C212yesmaximal, complemented
8C7×#1441C212yesmaximal, complemented
9C7×#1439C212yesmaximal
10C7×#1439C212yesmaximal
11C7×C22⋊#95C211yesmaximal, characteristic
12C23×C7×Q8C2211yescharacteristic
13C24×C4×C7C2211yescharacteristic
14C2×C7×C22⋊Q8—24no—
15C2×C7×C22⋊Q8—24no—
16C2×C7×C22⋊Q8—24no—
17C22×C7×C4⋊C4C2211yescharacteristic
18C22×C7×C4⋊C4C2212yes—
19C22×C7×C4⋊C4C2212yes—
20C22×C7×C4⋊C4C2211yescharacteristic
21C22×C7×C4⋊C4C2212yes—
22C22×C7×C4⋊C4C2211yescharacteristic
23C22×C7×C22⋊C4C2212yes—
24C22×C7×C22⋊C4C2211yescharacteristic
25C22×C7×C22⋊C4C2211yescharacteristic
26C22×C7×C22⋊C4C2212yes—
27C7×#398—24no—
28C7×#395—24no—
29C7×#385—24no—
30C2×C7×#95C2211yescharacteristic
31C2×C7×#95C2212yes—
32C2×C7×#95C2211yescharacteristic
33C2×C7×#95C2212yes—
34C2×C7×#95C2211yescharacteristic
35C2×C7×#95C2211yescharacteristic
36C2×C7×#95C2212yes—
37C2×C7×#95C2212yes—
38C2×C7×#95C2212yes—
39C2×C7×#95C2212yes—
40C2×C7×#95C2212yes—
41#16606C711yesmaximal, characteristic, direct product factor, Sylow
42C25×C7C2311yescharacteristic
43C22×C7×Q8—22no—
44C22×C7×Q8—22no—
45C22×C7×Q8—42no—
46C22×C7×Q8—42no—
47C22×C7×Q8D414yes—
48C23×C4×C7—22no—
49C23×C4×C7—22no—
50C23×C4×C7—42no—
51C23×C4×C7—42no—
52C23×C4×C7D414yes—
53C23×C4×C7C2311yescharacteristic
54C23×C4×C7C2311yescharacteristic
55C23×C4×C7C2312yes—
56C23×C4×C7C2312yes—
57C23×C4×C7C2311yescharacteristic
58C23×C4×C7C2312yes—
59C23×C4×C7C2312yes—
60C23×C4×C7C2311yescharacteristic
61C23×C4×C7C2311yescharacteristic
62C23×C4×C7C2311yescharacteristic
63C7×C22⋊Q8—232no—
64C2×C7×C4⋊C4—24no—
65C2×C7×C4⋊C4—24no—
66C2×C7×C4⋊C4—24no—
67C2×C7×C4⋊C4—22no—
68C2×C7×C4⋊C4—22no—
69C2×C7×C4⋊C4—22no—
70C2×C7×C4⋊C4—22no—
71C2×C7×C4⋊C4—24no—
72C2×C7×C4⋊C4—22no—
73C2×C7×C4⋊C4—24no—
74C2×C7×C4⋊C4—22no—
75C2×C7×C4⋊C4—24no—
76C2×C7×C4⋊C4—42no—
77C2×C7×C4⋊C4—42no—
78C2×C7×C4⋊C4—42no—
79C2×C7×C4⋊C4—42no—
80C2×C7×C4⋊C4D414yes—
81C2×C7×C22⋊C4—22no—
82C2×C7×C22⋊C4—24no—
83C2×C7×C22⋊C4—24no—
84C2×C7×C22⋊C4—24no—
85C2×C7×C22⋊C4—22no—
86C2×C7×C22⋊C4—22no—
87C2×C7×C22⋊C4—22no—
88C2×C7×C22⋊C4—42no—
89C2×C7×C22⋊C4—42no—
90C2×C7×C22⋊C4—42no—
91C2×C7×C22⋊C4Q818yescomplemented
92C7×#95—22no—
93C7×#95—22no—
94C7×#95—24no—
95C7×#95—22no—
96C7×#95—22no—
97C7×#95—24no—
98C7×#95—24no—
99C7×#95—42no—
100C7×#95—42no—
101C7×#95—42no—
102C7×#95—42no—
103C22×C22⋊Q8C2×C711yescharacteristic
104C2×#398C2×C711yescharacteristic, complemented
105C2×#395C2×C711yescharacteristic, complemented
106C2×#385C2×C711yescharacteristic
107#1446C2×C711yescharacteristic, complemented
108#1445C2×C711yescharacteristic, complemented
109#1444C2×C712yescomplemented
110#1441C2×C712yescomplemented
111#1439C2×C712yes—
112#1439C2×C712yes—
113C22⋊#95C2×C711yescharacteristic
114C24×C7—21no—
115C24×C7—21no—
116C24×C7—21no—
117C24×C7—21no—
118C24×C7—21no—
119C24×C7—22no—
120C24×C7—22no—
121C24×C7—22no—
122C24×C7—21no—
123C24×C7C2×D412yes—
124C24×C7C2×Q814yes—
125C24×C7C2411yescharacteristic
126C2×C7×Q8—28no—
127C2×C7×Q8—48no—
128C2×C7×Q8—44no—
129C2×C7×Q8—44no—
130C2×C7×Q8—48no—
131C22×C4×C7—22no—
132C22×C4×C7—22no—
133C22×C4×C7—21no—
134C22×C4×C7—22no—
135C22×C4×C7—22no—
136C22×C4×C7—21no—
137C22×C4×C7—21no—
138C22×C4×C7—22no—
139C22×C4×C7—22no—
140C22×C4×C7—22no—
141C22×C4×C7—22no—
142C22×C4×C7—21no—
143C22×C4×C7—21no—
144C22×C4×C7—21no—
145C22×C4×C7—22no—
146C22×C4×C7—22no—
147C22×C4×C7—21no—
148C22×C4×C7—21no—
149C22×C4×C7—22no—
150C22×C4×C7—22no—
151C22×C4×C7—22no—
152C22×C4×C7—22no—
153C22×C4×C7—22no—
154C22×C4×C7—22no—
155C22×C4×C7—22no—
156C22×C4×C7—22no—
157C22×C4×C7—22no—
158C22×C4×C7—22no—
159C22×C4×C7—22no—
160C22×C4×C7—22no—
161C22×C4×C7—22no—
162C22×C4×C7—21no—
163C22×C4×C7—22no—
164C22×C4×C7—22no—
165C22×C4×C7—22no—
166C22×C4×C7—22no—
167C22×C4×C7—22no—
168C22×C4×C7—21no—
169C22×C4×C7—22no—
170C22×C4×C7—22no—
171C22×C4×C7—28no—
172C22×C4×C7—21no—
173C22×C4×C7—21no—
174C22×C4×C7—21no—
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—21no—
182C22×C4×C7—44no—
183C22×C4×C7—44no—
184C22×C4×C7—48no—
185C22×C4×C7—48no—
186C22×C4×C7C2×D414yes—
187C22×C4×C7C2×D414yes—
188C22×C4×C7C2×D412yes—
189C22×C4×C7C2×D412yes—
190C22×C4×C7C2×D412yes—
191C22×C4×C7C2×D412yes—
192C22×C4×C7C2×Q814yes—
193C22×C4×C7C2×Q814yes—
194C22×C4×C7#4112yes—
195C22×C4×C7#4112yes—
196C7×C4⋊C4—216no—
197C7×C4⋊C4—28no—
198C7×C4⋊C4—48no—
199C7×C4⋊C4—44no—
200C7×C4⋊C4—48no—
201C7×C4⋊C4—44no—
202C7×C22⋊C4—28no—
203C7×C22⋊C4—216no—
204C7×C22⋊C4—48no—
205C7×C22⋊C4—44no—
206C23×Q8C22×C711yescharacteristic
207C24×C4C22×C711yescharacteristic
208C2×C22⋊Q8—24no—
209C2×C22⋊Q8—24no—
210C2×C22⋊Q8—24no—
211C22×C4⋊C4C22×C711yescharacteristic
212C22×C4⋊C4C22×C712yes—
213C22×C4⋊C4C22×C712yes—
214C22×C4⋊C4C22×C711yescharacteristic
215C22×C4⋊C4C22×C712yes—
216C22×C4⋊C4C22×C711yescharacteristic
217C22×C22⋊C4C22×C712yes—
218C22×C22⋊C4C22×C711yescharacteristic
219C22×C22⋊C4C22×C711yescharacteristic
220C22×C22⋊C4C22×C712yes—
221#398—24no—
222#395—24no—
223#385—24no—
224C2×#95C22×C711yescharacteristic
225C2×#95C22×C712yes—
226C2×#95C22×C711yescharacteristic
227C2×#95C22×C712yes—
228C2×#95C22×C712yes—
229C2×#95C22×C711yescharacteristic
230C2×#95C22×C711yescharacteristic
231C2×#95C22×C712yes—
232C2×#95C22×C712yes—
233C2×#95C22×C712yes—
234C2×#95C22×C712yes—
235C23×C7—22no—
236C23×C7—22no—
237C23×C7—22no—
238C23×C7—22no—
239C23×C7—22no—
240C23×C7—22no—
241C23×C7—24no—
242C23×C7—24no—
243C23×C7—24no—
244C23×C7—24no—
245C23×C7—24no—
246C23×C7—24no—
247C23×C7—42no—
248C23×C7—42no—
249C23×C7—42no—
250C23×C7—42no—
251C23×C7—41no—
252C23×C7—41no—
253C23×C7—41no—
254C23×C7—41no—
255C23×C7—42no—
256C23×C7—42no—
257C23×C7C4⋊Q814yes—
258C23×C7C22×D411yescharacteristic
259C23×C7C22×D411yescharacteristic
260C23×C7C22×D411yescharacteristic
261C23×C7C22×Q812yes—
262C23×C7C2×#4111yescharacteristic
263C23×C7C2×#4111yescharacteristic
264C23×C7H(5,𝔽2)12yes—
265C23×C7H(5,𝔽2)12yes—
266C23×C7H(5,𝔽2)11yescharacteristic
267C23×C72−1+412yes—
268C23×C72−1+411yescharacteristic
269C7×Q8—416no—
270C2×C4×C7—22no—
271C2×C4×C7—22no—
272C2×C4×C7—24no—
273C2×C4×C7—24no—
274C2×C4×C7—24no—
275C2×C4×C7—24no—
276C2×C4×C7—22no—
277C2×C4×C7—22no—
278C2×C4×C7—22no—
279C2×C4×C7—22no—
280C2×C4×C7—24no—
281C2×C4×C7—22no—
282C2×C4×C7—24no—
283C2×C4×C7—24no—
284C2×C4×C7—24no—
285C2×C4×C7—24no—
286C2×C4×C7—22no—
287C2×C4×C7—24no—
288C2×C4×C7—24no—
289C2×C4×C7—22no—
290C2×C4×C7—24no—
291C2×C4×C7—24no—
292C2×C4×C7—24no—
293C2×C4×C7—24no—
294C2×C4×C7—416no—
295C2×C4×C7—41no—
296C2×C4×C7—42no—
297C2×C4×C7—41no—
298C2×C4×C7—42no—
299C2×C4×C7—42no—
300C2×C4×C7—42no—
301C2×C4×C7—42no—
302C2×C4×C7—42no—
303C2×C4×C7—42no—
304C2×C4×C7—42no—
305C2×C4×C7—42no—
306C2×C4×C7—41no—
307C2×C4×C7—41no—
308C2×C4×C7—42no—
309C2×C4×C7—42no—
310C2×C4×C7—42no—
311C2×C4×C7—42no—
312C2×C4×C7—42no—
313C2×C4×C7—41no—
314C2×C4×C7—42no—
315C2×C4×C7—41no—
316C2×C4×C7—42no—
317C2×C4×C7—42no—
318C2×C4×C7—42no—
319C2×C4×C7—42no—
320C2×C4×C7—41no—
321C2×C4×C7—41no—
322C2×C4×C7—41no—
323C2×C4×C7—41no—
324C2×C4×C7—42no—
325C2×C4×C7—42no—
326C2×C4×C7—41no—
327C2×C4×C7—41no—
328C2×C4×C7—42no—
329C2×C4×C7—42no—
330C2×C4×C7#12014yes—
331C25C23×C711yescharacteristic
332C22×Q8—22no—
333C22×Q8—22no—
334C22×Q8—42no—
335C22×Q8—42no—
336C22×Q8C7×D414yes—
337C23×C4—22no—
338C23×C4—22no—
339C23×C4—42no—
340C23×C4—42no—
341C23×C4C7×D414yes—
342C23×C4C23×C711yescharacteristic
343C23×C4C23×C711yescharacteristic
344C23×C4C23×C712yes—
345C23×C4C23×C712yes—
346C23×C4C23×C711yescharacteristic
347C23×C4C23×C712yes—
348C23×C4C23×C712yes—
349C23×C4C23×C711yescharacteristic
350C23×C4C23×C711yescharacteristic
351C23×C4C23×C711yescharacteristic
352C22⋊Q8—232no—
353C2×C4⋊C4—24no—
354C2×C4⋊C4—24no—
355C2×C4⋊C4—24no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—24no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—24no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—24no—
365C2×C4⋊C4—42no—
366C2×C4⋊C4—42no—
367C2×C4⋊C4—42no—
368C2×C4⋊C4—42no—
369C2×C4⋊C4C7×D414yes—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—24no—
373C2×C22⋊C4—24no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—42no—
378C2×C22⋊C4—42no—
379C2×C22⋊C4—42no—
380C2×C22⋊C4C7×Q818yescomplemented
381#95—22no—
382#95—22no—
383#95—24no—
384#95—22no—
385#95—22no—
386#95—24no—
387#95—24no—
388#95—42no—
389#95—42no—
390#95—42no—
391#95—42no—
392C22×C7—24no—
393C22×C7—24no—
394C22×C7—24no—
395C22×C7—42no—
396C22×C7—42no—
397C22×C7—42no—
398C22×C7—44no—
399C22×C7—44no—
400C22×C7—44no—
401C22×C7—44no—
402C22×C7—42no—
403C22×C7C2×#12011yescharacteristic
404C22×C7#52511yescharacteristic
405C22×C7C2×C4⋊Q811yescharacteristic
406C22×C7#53411yescharacteristic
407C22×C7#53411yescharacteristic
408C22×C7#53412yes—
409C22×C7#53512yes—
410C22×C7#53611yescharacteristic
411C22×C7#53711yescharacteristic
412C22×C7#53912yes—
413C22×C7#54212yes—
414C22×C7#54312yes—
415C22×C7#54412yes—
416C22×C7#54611yescharacteristic
417C22×C7#54711yescharacteristic
418C22×C7#54811yescharacteristic
419C22×C7D4×Q812yes—
420C22×C7D4×Q812yes—
421C22×C7#55011yescharacteristic
422C22×C7#55412yes—
423C22×C7#55412yes—
424C22×C7#56212yes—
425C22×C7#56312yes—
426C4×C7—24no—
427C4×C7—42no—
428C4×C7—44no—
429C4×C7—42no—
430C4×C7—44no—
431C4×C7—42no—
432C4×C7—44no—
433C4×C7—44no—
434C4×C7—81no—
435C4×C7—81no—
436C24—21no—
437C24—21no—
438C24—21no—
439C24—21no—
440C24—21no—
441C24—22no—
442C24—22no—
443C24—22no—
444C24—21no—
445C24C2×C7×D412yes—
446C24C2×C7×Q814yes—
447C24C24×C711yescharacteristic
448C2×Q8—28no—
449C2×Q8—48no—
450C2×Q8—44no—
451C2×Q8—44no—
452C2×Q8—48no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—21no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—28no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4C2×C7×D414yes—
509C22×C4C2×C7×D414yes—
510C22×C4C2×C7×D412yes—
511C22×C4C2×C7×D412yes—
512C22×C4C2×C7×D412yes—
513C22×C4C2×C7×D412yes—
514C22×C4C2×C7×Q814yes—
515C22×C4C2×C7×Q814yes—
516C22×C4C7×#4112yes—
517C22×C4C7×#4112yes—
518C4⋊C4—216no—
519C4⋊C4—28no—
520C4⋊C4—48no—
521C4⋊C4—44no—
522C4⋊C4—48no—
523C4⋊C4—44no—
524C22⋊C4—216no—
525C22⋊C4—28no—
526C22⋊C4—48no—
527C22⋊C4—44no—
528C2×C7—44no—
529C2×C7#240711yescharacteristic
530C2×C7#243411yescharacteristic
531C2×C7#258311yescharacteristic
532C2×C7#261311yescharacteristic
533C2×C7#263811yescharacteristic
534C2×C7#265911yescharacteristic
535C2×C7#269212yes—
536C2×C7#272012yes—
537C2×C7#272912yes—
538C2×C7#273212yes—
539C2×C7#281411yescharacteristic
540C23—22no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—42no—
561C23—42no—
562C23C7×C4⋊Q814yes—
563C23C22×C7×D411yescharacteristic
564C23C22×C7×D411yescharacteristic
565C23C22×C7×D411yescharacteristic
566C23C22×C7×Q812yes—
567C23C2×C7×#4111yescharacteristic
568C23C2×C7×#4111yescharacteristic
569C23C7×H(5,𝔽2)12yes—
570C23C7×H(5,𝔽2)12yes—
571C23C7×H(5,𝔽2)11yescharacteristic
572C23C7×2−1+412yes—
573C23C7×2−1+411yescharacteristic
574Q8—416no—
575C2×C4—22no—
576C2×C4—24no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—22no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—22no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—22no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—416no—
600C2×C4—41no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—41no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4C7×#12014yes—
636C7#1660611yescharacteristic, direct product factor, Sylow
637C22—24no—
638C22—24no—
639C22—24no—
640C22—42no—
641C22—44no—
642C22—44no—
643C22—44no—
644C22—44no—
645C22—42no—
646C22—42no—
647C22—42no—
648C22C2×C7×#12011yescharacteristic
649C22C7×#52511yescharacteristic
650C22C2×C7×C4⋊Q811yescharacteristic
651C22C7×#53411yescharacteristic
652C22C7×#53412yes—
653C22C7×#53411yescharacteristic
654C22C7×#53512yes—
655C22C7×#53611yescharacteristic
656C22C7×#53711yescharacteristic
657C22C7×#53912yes—
658C22C7×#54212yes—
659C22C7×#54312yes—
660C22C7×#54412yes—
661C22C7×#54611yescharacteristic
662C22C7×#54711yescharacteristic
663C22C7×#54811yescharacteristic
664C22C7×D4×Q812yes—
665C22C7×D4×Q812yes—
666C22C7×#55011yescharacteristic
667C22C7×#55412yes—
668C22C7×#55412yes—
669C22C7×#56212yes—
670C22C7×#56312yes—
671C4—24no—
672C4—44no—
673C4—42no—
674C4—44no—
675C4—44no—
676C4—42no—
677C4—44no—
678C4—42no—
679C4—81no—
680C4—81no—
681C2—44no—
682C2C7×#240711yescharacteristic
683C2C7×#243411yescharacteristic
684C2C7×#258311yescharacteristic
685C2C7×#261311yescharacteristic
686C2C7×#263811yescharacteristic
687C2C7×#265911yescharacteristic
688C2C7×#269212yes—
689C2C7×#272012yes—
690C2C7×#272912yes—
691C2C7×#273212yes—
692C2C7×#281411yescharacteristic
subgroupG/H
center, socleC24×C7C24
commutator, Frattini, cosocleC24C24×C7
prime radicalC25×C7C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C7 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C7×#398C2semidirect
3. C2×C7×#395C2semidirect
5. C7×#1446C2semidirect
6. C7×#1445C2semidirect
7. C7×#1444C2semidirect
8. C7×#1441C2semidirect
41. #16606C7direct (N × H)
91. C2×C7×C22⋊C4Q8semidirect
104. C2×#398C2×C7semidirect
105. C2×#395C2×C7semidirect
107. #1446C2×C7semidirect
108. #1445C2×C7semidirect
109. #1444C2×C7semidirect
110. #1441C2×C7semidirect
380. C2×C22⋊C4C7×Q8semidirect
636. C7#16606direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C7×C22⋊Q82
C2×C7×#3982
C2×C7×#3952
C2×C7×#3852
C7×#14462
C7×#14452
C7×#14442
C7×#14412
C7×#14392
C7×C22⋊#952
#166067