Finite Group Databasebeta

← C7×#15951 #13193167

Subgroups — C7×#15951 #13193167

Order 1792.

2462 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×C22⋊Q8C212yesmaximal, complemented
2C2×C7×#386C212yesmaximal
3C2×C7×#385C212yesmaximal, complemented
4C7×#1446C211yesmaximal, characteristic, complemented
5C7×#1444C211yesmaximal, characteristic, complemented
6C7×#1441C212yesmaximal, complemented
7C7×#1439C212yesmaximal, complemented
8C7×#1439C212yesmaximal, complemented
9C7×#1438C211yesmaximal, characteristic
10C23×C7×Q8C2211yescharacteristic
11C23×C7×D4C2211yescharacteristic
12C24×C4×C7C2212yes—
13C2×C7×C22⋊Q8—28no—
14C2×C7×C22⋊Q8—28no—
15C2×C7×C22⋊Q8—28no—
16C22×C7×C4⋊C4C2212yes—
17C22×C7×C4⋊C4C2212yes—
18C22×C7×C4⋊C4C2211yescharacteristic
19C22×C7×C4⋊C4C2212yes—
20C22×C7×C22⋊C4C2212yes—
21C22×C7×C22⋊C4C2212yes—
22C22×C7×C22⋊C4C2212yes—
23C22×C7×C22⋊C4C2212yes—
24C22×C7×C22⋊C4C2212yes—
25C7×#386—28no—
26C7×#385—28no—
27C2×C7×#95C2212yes—
28C2×C7×#95C2212yes—
29C2×C7×#95C2212yes—
30C2×C7×#95C2212yes—
31C2×C7×#95C2211yescharacteristic
32C2×C7×#95C2211yescharacteristic
33C2×C7×#95C2211yescharacteristic
34C2×C7×#95C2212yes—
35C2×C7×#95C2211yescharacteristic
36#15951C711yesmaximal, characteristic, direct product factor, Sylow
37C25×C7C2312yes—
38C22×C7×Q8—24no—
39C22×C7×Q8—24no—
40C22×C7×Q8—41no—
41C22×C7×Q8—41no—
42C22×C7×Q8D414yescomplemented
43C22×C7×D4—24no—
44C22×C7×D4—24no—
45C22×C7×D4—41no—
46C22×C7×D4—41no—
47C22×C7×D4Q814yescomplemented
48C23×C4×C7—24no—
49C23×C4×C7—24no—
50C23×C4×C7—24no—
51C23×C4×C7—24no—
52C23×C4×C7—24no—
53C23×C4×C7—42no—
54C23×C4×C7—42no—
55C23×C4×C7C2312yes—
56C23×C4×C7C2311yescharacteristic
57C23×C4×C7C2312yes—
58C23×C4×C7C2312yes—
59C23×C4×C7C2312yes—
60C23×C4×C7C2311yescharacteristic
61C23×C4×C7C2311yescharacteristic
62C23×C4×C7C2312yes—
63C7×C22⋊Q8—264no—
64C2×C7×C4⋊C4—24no—
65C2×C7×C4⋊C4—24no—
66C2×C7×C4⋊C4—24no—
67C2×C7×C4⋊C4—24no—
68C2×C7×C4⋊C4—24no—
69C2×C7×C4⋊C4—24no—
70C2×C7×C4⋊C4—24no—
71C2×C7×C4⋊C4—24no—
72C2×C7×C4⋊C4—24no—
73C2×C7×C4⋊C4—41no—
74C2×C7×C4⋊C4D418yescomplemented
75C2×C7×C22⋊C4—24no—
76C2×C7×C22⋊C4—24no—
77C2×C7×C22⋊C4—24no—
78C2×C7×C22⋊C4—24no—
79C2×C7×C22⋊C4—24no—
80C2×C7×C22⋊C4—24no—
81C2×C7×C22⋊C4—24no—
82C2×C7×C22⋊C4—24no—
83C2×C7×C22⋊C4—24no—
84C2×C7×C22⋊C4—24no—
85C2×C7×C22⋊C4—24no—
86C2×C7×C22⋊C4—24no—
87C2×C7×C22⋊C4—42no—
88C2×C7×C22⋊C4—42no—
89C2×C7×C22⋊C4D418yes—
90C7×#95—24no—
91C7×#95—24no—
92C7×#95—24no—
93C7×#95—24no—
94C7×#95—22no—
95C7×#95—41no—
96C7×#95—42no—
97C7×#95—41no—
98C7×#95—41no—
99C22×C22⋊Q8C2×C712yescomplemented
100C2×#386C2×C712yes—
101C2×#385C2×C712yescomplemented
102#1446C2×C711yescharacteristic, complemented
103#1444C2×C711yescharacteristic, complemented
104#1441C2×C712yescomplemented
105#1439C2×C712yescomplemented
106#1439C2×C712yescomplemented
107#1438C2×C711yescharacteristic
108C24×C7—22no—
109C24×C7—22no—
110C24×C7—22no—
111C24×C7—22no—
112C24×C7—22no—
113C24×C7—22no—
114C24×C7—22no—
115C24×C7—22no—
116C24×C7—22no—
117C24×C7—22no—
118C24×C7—22no—
119C24×C7—22no—
120C24×C7C2×D414yes—
121C24×C7C2×Q814yes—
122C24×C7#4114yes—
123C24×C7C2411yescharacteristic
124C2×C7×Q8—216no—
125C2×C7×Q8—44no—
126C2×C7×Q8—44no—
127C2×C7×Q8—48no—
128C2×C7×Q8—44no—
129C2×C7×D4—216no—
130C2×C7×D4—44no—
131C2×C7×D4—44no—
132C2×C7×D4—48no—
133C2×C7×D4—44no—
134C22×C4×C7—22no—
135C22×C4×C7—22no—
136C22×C4×C7—22no—
137C22×C4×C7—22no—
138C22×C4×C7—216no—
139C22×C4×C7—22no—
140C22×C4×C7—22no—
141C22×C4×C7—22no—
142C22×C4×C7—22no—
143C22×C4×C7—22no—
144C22×C4×C7—22no—
145C22×C4×C7—22no—
146C22×C4×C7—22no—
147C22×C4×C7—22no—
148C22×C4×C7—22no—
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—21no—
160C22×C4×C7—21no—
161C22×C4×C7—21no—
162C22×C4×C7—21no—
163C22×C4×C7—21no—
164C22×C4×C7—22no—
165C22×C4×C7—22no—
166C22×C4×C7—22no—
167C22×C4×C7—21no—
168C22×C4×C7—22no—
169C22×C4×C7—22no—
170C22×C4×C7—22no—
171C22×C4×C7—22no—
172C22×C4×C7—22no—
173C22×C4×C7—22no—
174C22×C4×C7—22no—
175C22×C4×C7—22no—
176C22×C4×C7—48no—
177C22×C4×C7—48no—
178C22×C4×C7—48no—
179C22×C4×C7—48no—
180C22×C4×C7—48no—
181C22×C4×C7—48no—
182C22×C4×C7C2×D414yes—
183C22×C4×C7C2×D414yes—
184C22×C4×C7C2×D412yes—
185C22×C4×C7C2×D414yes—
186C22×C4×C7C2×D414yes—
187C22×C4×C7C2×D414yes—
188C22×C4×C7C2×D414yes—
189C22×C4×C7C2×Q812yes—
190C22×C4×C7#4112yes—
191C7×C4⋊C4—216no—
192C7×C4⋊C4—216no—
193C7×C4⋊C4—216no—
194C7×C4⋊C4—44no—
195C7×C22⋊C4—216no—
196C7×C22⋊C4—216no—
197C7×C22⋊C4—216no—
198C7×C22⋊C4—48no—
199C7×C22⋊C4—48no—
200C23×Q8C22×C711yescharacteristic
201C23×D4C22×C711yescharacteristic
202C24×C4C22×C712yes—
203C2×C22⋊Q8—28no—
204C2×C22⋊Q8—28no—
205C2×C22⋊Q8—28no—
206C22×C4⋊C4C22×C712yes—
207C22×C4⋊C4C22×C712yes—
208C22×C4⋊C4C22×C711yescharacteristic
209C22×C4⋊C4C22×C712yes—
210C22×C22⋊C4C22×C712yes—
211C22×C22⋊C4C22×C712yes—
212C22×C22⋊C4C22×C712yes—
213C22×C22⋊C4C22×C712yes—
214C22×C22⋊C4C22×C712yes—
215#386—28no—
216#385—28no—
217C2×#95C22×C711yescharacteristic
218C2×#95C22×C712yes—
219C2×#95C22×C712yes—
220C2×#95C22×C712yes—
221C2×#95C22×C712yes—
222C2×#95C22×C711yescharacteristic
223C2×#95C22×C711yescharacteristic
224C2×#95C22×C712yes—
225C2×#95C22×C711yescharacteristic
226C23×C7—24no—
227C23×C7—24no—
228C23×C7—24no—
229C23×C7—24no—
230C23×C7—24no—
231C23×C7—24no—
232C23×C7—24no—
233C23×C7—24no—
234C23×C7—24no—
235C23×C7—24no—
236C23×C7—24no—
237C23×C7—24no—
238C23×C7—24no—
239C23×C7—24no—
240C23×C7—24no—
241C23×C7—24no—
242C23×C7—24no—
243C23×C7—24no—
244C23×C7—42no—
245C23×C7—42no—
246C23×C7—42no—
247C23×C7—42no—
248C23×C7—42no—
249C23×C7—42no—
250C23×C7—42no—
251C23×C7—42no—
252C23×C7—42no—
253C23×C7—42no—
254C23×C7—42no—
255C23×C7—42no—
256C23×C7—42no—
257C23×C7—42no—
258C23×C7—42no—
259C23×C7—42no—
260C23×C7C22⋊Q818yescomplemented
261C23×C7C22×D411yescharacteristic
262C23×C7C22×D412yes—
263C23×C7C22×D412yes—
264C23×C7C22×Q811yescharacteristic
265C23×C7C2×#4112yes—
266C23×C7C2×#4111yescharacteristic
267C23×C7H(5,𝔽2)11yescharacteristic
268C23×C7H(5,𝔽2)11yescharacteristic
269C23×C7H(5,𝔽2)11yescharacteristic
270C23×C72−1+411yescharacteristic
271C23×C72−1+412yes—
272C7×Q8—416no—
273C7×D4—416no—
274C2×C4×C7—24no—
275C2×C4×C7—24no—
276C2×C4×C7—24no—
277C2×C4×C7—24no—
278C2×C4×C7—24no—
279C2×C4×C7—24no—
280C2×C4×C7—24no—
281C2×C4×C7—24no—
282C2×C4×C7—24no—
283C2×C4×C7—24no—
284C2×C4×C7—24no—
285C2×C4×C7—24no—
286C2×C4×C7—24no—
287C2×C4×C7—22no—
288C2×C4×C7—24no—
289C2×C4×C7—22no—
290C2×C4×C7—22no—
291C2×C4×C7—24no—
292C2×C4×C7—24no—
293C2×C4×C7—24no—
294C2×C4×C7—24no—
295C2×C4×C7—432no—
296C2×C4×C7—42no—
297C2×C4×C7—42no—
298C2×C4×C7—42no—
299C2×C4×C7—42no—
300C2×C4×C7—41no—
301C2×C4×C7—42no—
302C2×C4×C7—42no—
303C2×C4×C7—41no—
304C2×C4×C7—41no—
305C2×C4×C7—42no—
306C2×C4×C7—41no—
307C2×C4×C7—42no—
308C2×C4×C7—42no—
309C2×C4×C7—42no—
310C2×C4×C7—42no—
311C2×C4×C7—42no—
312C2×C4×C7—42no—
313C2×C4×C7—42no—
314C2×C4×C7—42no—
315C2×C4×C7—41no—
316C2×C4×C7—41no—
317C2×C4×C7—42no—
318C2×C4×C7—42no—
319C2×C4×C7—42no—
320C2×C4×C7—42no—
321C2×C4×C7—42no—
322C2×C4×C7—42no—
323C2×C4×C7—42no—
324C2×C4×C7#12018yes—
325C25C23×C712yes—
326C22×Q8—24no—
327C22×Q8—24no—
328C22×Q8—41no—
329C22×Q8—41no—
330C22×Q8C7×D414yescomplemented
331C22×D4—24no—
332C22×D4—24no—
333C22×D4—41no—
334C22×D4—41no—
335C22×D4C7×Q814yescomplemented
336C23×C4—24no—
337C23×C4—24no—
338C23×C4—24no—
339C23×C4—24no—
340C23×C4—24no—
341C23×C4—42no—
342C23×C4—42no—
343C23×C4C23×C712yes—
344C23×C4C23×C711yescharacteristic
345C23×C4C23×C712yes—
346C23×C4C23×C712yes—
347C23×C4C23×C712yes—
348C23×C4C23×C711yescharacteristic
349C23×C4C23×C711yescharacteristic
350C23×C4C23×C712yes—
351C22⋊Q8—264no—
352C2×C4⋊C4—24no—
353C2×C4⋊C4—24no—
354C2×C4⋊C4—24no—
355C2×C4⋊C4—24no—
356C2×C4⋊C4—24no—
357C2×C4⋊C4—24no—
358C2×C4⋊C4—24no—
359C2×C4⋊C4—24no—
360C2×C4⋊C4—24no—
361C2×C4⋊C4—41no—
362C2×C4⋊C4C7×D418yescomplemented
363C2×C22⋊C4—24no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—24no—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—24no—
372C2×C22⋊C4—24no—
373C2×C22⋊C4—24no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—42no—
376C2×C22⋊C4—42no—
377C2×C22⋊C4C7×D418yes—
378#95—24no—
379#95—24no—
380#95—24no—
381#95—24no—
382#95—22no—
383#95—41no—
384#95—42no—
385#95—41no—
386#95—41no—
387C22×C7—28no—
388C22×C7—28no—
389C22×C7—28no—
390C22×C7—44no—
391C22×C7—44no—
392C22×C7—44no—
393C22×C7—44no—
394C22×C7—44no—
395C22×C7—44no—
396C22×C7—44no—
397C22×C7—44no—
398C22×C7—44no—
399C22×C7—44no—
400C22×C7—44no—
401C22×C7—44no—
402C22×C7C2×#12012yes—
403C22×C7C2×C22⋊Q812yes—
404C22×C7#52512yes—
405C22×C7#53411yescharacteristic
406C22×C7#53612yes—
407C22×C7#53712yes—
408C22×C7#53911yescharacteristic
409C22×C7#53912yes—
410C22×C7#54311yescharacteristic
411C22×C7D4211yescharacteristic
412C22×C7D4212yes—
413C22×C7D4211yescharacteristic
414C22×C7#54612yes—
415C22×C7#54712yes—
416C22×C7#54812yes—
417C22×C7#54812yes—
418C22×C7D4×Q811yescharacteristic
419C22×C7D4×Q812yes—
420C22×C7#55011yescharacteristic
421C22×C7#55111yescharacteristic
422C22×C7#55411yescharacteristic
423C22×C7#56211yescharacteristic
424C22×C7#56311yescharacteristic
425C4×C7—28no—
426C4×C7—44no—
427C4×C7—42no—
428C4×C7—44no—
429C4×C7—44no—
430C4×C7—42no—
431C4×C7—42no—
432C4×C7—82no—
433C24—22no—
434C24—22no—
435C24—22no—
436C24—22no—
437C24—22no—
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—22no—
444C24—22no—
445C24C2×C7×D414yes—
446C24C2×C7×Q814yes—
447C24C7×#4114yes—
448C24C24×C711yescharacteristic
449C2×Q8—216no—
450C2×Q8—44no—
451C2×Q8—44no—
452C2×Q8—48no—
453C2×Q8—44no—
454C2×D4—216no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—48no—
458C2×D4—44no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—216no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
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—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4C2×C7×D414yes—
508C22×C4C2×C7×D414yes—
509C22×C4C2×C7×D412yes—
510C22×C4C2×C7×D414yes—
511C22×C4C2×C7×D414yes—
512C22×C4C2×C7×D414yes—
513C22×C4C2×C7×D414yes—
514C22×C4C2×C7×Q812yes—
515C22×C4C7×#4112yes—
516C4⋊C4—216no—
517C4⋊C4—216no—
518C4⋊C4—216no—
519C4⋊C4—44no—
520C22⋊C4—216no—
521C22⋊C4—216no—
522C22⋊C4—216no—
523C22⋊C4—48no—
524C22⋊C4—48no—
525C2×C7—48no—
526C2×C7#240311yescharacteristic
527C2×C7#240712yes—
528C2×C7#240912yes—
529C2×C7#243711yescharacteristic
530C2×C7#244912yes—
531C2×C7#246311yescharacteristic
532C2×C7#268011yescharacteristic
533C2×C7#268112yes—
534C2×C7#268311yescharacteristic
535C2×C7#272811yescharacteristic
536C2×C7#273211yescharacteristic
537C23—24no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23C7×C22⋊Q818yescomplemented
572C23C22×C7×D411yescharacteristic
573C23C22×C7×D412yes—
574C23C22×C7×D412yes—
575C23C22×C7×Q811yescharacteristic
576C23C2×C7×#4112yes—
577C23C2×C7×#4111yescharacteristic
578C23C7×H(5,𝔽2)11yescharacteristic
579C23C7×H(5,𝔽2)11yescharacteristic
580C23C7×H(5,𝔽2)11yescharacteristic
581C23C7×2−1+411yescharacteristic
582C23C7×2−1+412yes—
583Q8—416no—
584D4—416no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—432no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4C7×#12018yes—
636C7#1595111yescharacteristic, direct product factor, Sylow
637C22—28no—
638C22—28no—
639C22—28no—
640C22—44no—
641C22—44no—
642C22—44no—
643C22—44no—
644C22—44no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22—44no—
650C22—44no—
651C22—44no—
652C22C2×C7×#12012yes—
653C22C2×C7×C22⋊Q812yes—
654C22C7×#52512yes—
655C22C7×#53411yescharacteristic
656C22C7×#53612yes—
657C22C7×#53712yes—
658C22C7×#53911yescharacteristic
659C22C7×#53912yes—
660C22C7×#54311yescharacteristic
661C22C7×D4211yescharacteristic
662C22C7×D4212yes—
663C22C7×D4211yescharacteristic
664C22C7×#54612yes—
665C22C7×#54712yes—
666C22C7×#54812yes—
667C22C7×#54812yes—
668C22C7×D4×Q811yescharacteristic
669C22C7×D4×Q812yes—
670C22C7×#55011yescharacteristic
671C22C7×#55111yescharacteristic
672C22C7×#55411yescharacteristic
673C22C7×#56211yescharacteristic
674C22C7×#56311yescharacteristic
675C4—28no—
676C4—44no—
677C4—42no—
678C4—44no—
679C4—44no—
680C4—42no—
681C4—42no—
682C4—82no—
683C2—48no—
684C2C7×#240311yescharacteristic
685C2C7×#240712yes—
686C2C7×#240912yes—
687C2C7×#243711yescharacteristic
688C2C7×#244912yes—
689C2C7×#246311yescharacteristic
690C2C7×#268011yescharacteristic
691C2C7×#268112yes—
692C2C7×#268311yescharacteristic
693C2C7×#272811yescharacteristic
694C2C7×#273211yescharacteristic
subgroupG/H
center, socleC24×C7C24
commutator, Frattini, cosocleC24C24×C7
prime radicalC23×C7×D4C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C7 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C7×C22⋊Q8C2semidirect
3. C2×C7×#385C2semidirect
4. C7×#1446C2semidirect
5. C7×#1444C2semidirect
6. C7×#1441C2semidirect
7. C7×#1439C2semidirect
8. C7×#1439C2semidirect
36. #15951C7direct (N × H)
42. C22×C7×Q8D4semidirect
47. C22×C7×D4Q8semidirect
74. C2×C7×C4⋊C4D4semidirect
99. C22×C22⋊Q8C2×C7semidirect
101. C2×#385C2×C7semidirect
102. #1446C2×C7semidirect
103. #1444C2×C7semidirect
104. #1441C2×C7semidirect
105. #1439C2×C7semidirect
106. #1439C2×C7semidirect
260. C23×C7C22⋊Q8semidirect
330. C22×Q8C7×D4semidirect
335. C22×D4C7×Q8semidirect
362. C2×C4⋊C4C7×D4semidirect
571. C23C7×C22⋊Q8semidirect
636. C7#15951direct (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×#3862
C2×C7×#3852
C7×#14462
C7×#14442
C7×#14412
C7×#14392
C7×#14382
#159517