Finite Group Databasebeta

← C7×#8436 #13185652

Subgroups — C7×#8436 #13185652

Order 1792.

1050 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×D4×#41C211yesmaximal, characteristic
2C7×#1806C211yesmaximal, characteristic, complemented
3C4×C7×#102C211yesmaximal, characteristic, complemented
4C7×#1502C211yesmaximal, characteristic, complemented
5C7×#1492C211yesmaximal, characteristic, complemented
6C7×#1486C211yesmaximal, characteristic, complemented
7C7×#1476C211yesmaximal, characteristic, complemented
8C22×C7×#41—21no—
9C7×#550C411yescharacteristic, complemented
10C7×D4×Q8C411yescharacteristic, complemented
11C7×#548—21no—
12C7×#547—21no—
13C7×#547C411yescharacteristic, complemented
14C7×#546—22no—
15C7×#546—21no—
16C7×D42—21no—
17C7×D42C411yescharacteristic, complemented
18C7×#532—21no—
19C7×#532C2211yescharacteristic
20C7×#525—22no—
21C7×#525—21no—
22C4×C7×#41C2211yescharacteristic
23C2×C4×C7×D4—21no—
24C2×C4×C7×D4C2211yescharacteristic
25C7×#431C2211yescharacteristic, complemented
26C7×#423C2211yescharacteristic, complemented
27C2×C7×#104—21no—
28C2×C7×#102—21no—
29C2×C4×C7×C8C2211yescharacteristic, complemented
30C4×C7×C4⋊C4C2211yescharacteristic, complemented
31C7×#340—21no—
32C7×#339—21no—
33C7×#327—22no—
34C7×Q8⋊C8—21no—
35C7×D4⋊C8—21no—
36C7×D4⋊C8—21no—
37C7×D4⋊C8—21no—
38C7×D4⋊C8—22no—
39#8436C711yesmaximal, characteristic, direct product factor, Sylow
40C2×C7×#41—22no—
41C2×C7×#41—22no—
42C2×C7×#41—21no—
43C2×C7×#41—21no—
44C2×C7×#41—21no—
45C2×C7×#41—42no—
46C2×C7×#41—42no—
47C2×C7×#41—42no—
48C2×C7×#41—42no—
49C2×C7×#41D411yescharacteristic
50C22×C7×Q8—21no—
51C22×C7×D4—22no—
52C22×C7×D4—21no—
53C22×C7×D4—21no—
54C22×C7×D4D411yescharacteristic
55C23×C4×C7—22no—
56C23×C4×C7—21no—
57C2×C7×M16—21no—
58C22×C7×C8—21no—
59C7×C4⋊Q8—21no—
60C7×C4⋊Q8C2×C411yescharacteristic
61C7×#127—21no—
62C7×#127C2×C411yescharacteristic
63C7×#124—22no—
64C7×#124—21no—
65C7×#123—22no—
66C7×#123—22no—
67C7×#123—22no—
68C7×C22⋊Q8—22no—
69C7×C22⋊Q8—21no—
70C7×C22⋊Q8—22no—
71C7×C22⋊Q8—21no—
72C7×#121—22no—
73C7×#121—22no—
74C7×#121—22no—
75C7×#121—21no—
76C7×#121—21no—
77C7×#121—21no—
78C7×#121—21no—
79C7×#121—21no—
80C7×#121D412yes—
81C7×#120—22no—
82C7×#120—22no—
83C7×#120—22no—
84C4×C7×Q8C2×C411yescharacteristic
85C4×C7×Q8D411yescharacteristic
86C4×C7×D4—22no—
87C4×C7×D4—22no—
88C4×C7×D4—22no—
89C4×C7×D4—21no—
90C4×C7×D4—21no—
91C4×C7×D4—21no—
92C4×C7×D4—21no—
93C4×C7×D4—21no—
94C4×C7×D4—21no—
95C4×C7×D4—21no—
96C4×C7×D4C2×C411yescharacteristic
97C4×C7×D4C2×C411yescharacteristic
98C4×C7×D4C2×C411yescharacteristic
99C4×C7×D4D411yescharacteristic
100C4×C7×D4D411yescharacteristic
101C4×C7×D4D411yescharacteristic
102C4×C7×D4D412yes—
103C7×#117—21no—
104C7×#117D411yescharacteristic
105C2×C7×C4⋊C4—21no—
106C2×C7×C4⋊C4—21no—
107C2×C7×C4⋊C4D411yescharacteristic
108C2×C7×C22⋊C4—22no—
109C2×C7×C22⋊C4—21no—
110C2×C42×C7—21no—
111C2×C42×C7—21no—
112C2×C42×C7C2311yescharacteristic
113C7×C4⋊C8—21no—
114C7×C4⋊C8—21no—
115C7×C4⋊C8—21no—
116C7×#104—42no—
117C7×#102—24no—
118C7×C22⋊C8—21no—
119C4×C7×C8—21no—
120C4×C7×C8—21no—
121C4×C7×C8—21no—
122C7×#95—21no—
123D4×#41C2×C711yescharacteristic
124#1806C2×C711yescharacteristic, complemented
125C4×#102C2×C711yescharacteristic, complemented
126#1502C2×C711yescharacteristic, complemented
127#1492C2×C711yescharacteristic, complemented
128#1486C2×C711yescharacteristic, complemented
129#1476C2×C711yescharacteristic, complemented
130C24×C7—22no—
131C24×C7—21no—
132C7×#41—21no—
133C7×#41—21no—
134C7×#41—44no—
135C7×#41—44no—
136C7×#41—44no—
137C7×#41—44no—
138C7×#41—42no—
139C7×#41—42no—
140C7×#41—42no—
141C7×#41—42no—
142C7×#41—41no—
143C7×#41—41no—
144C7×#41—41no—
145C7×#41—41no—
146C7×#41D812yes—
147C7×#41SD1612yes—
148C2×C7×Q8—22no—
149C2×C7×Q8—21no—
150C2×C7×Q8—42no—
151C2×C7×Q8—42no—
152C2×C7×Q8C22⋊C411yescharacteristic
153C2×C7×D4—21no—
154C2×C7×D4—22no—
155C2×C7×D4—22no—
156C2×C7×D4—22no—
157C2×C7×D4—22no—
158C2×C7×D4—22no—
159C2×C7×D4—22no—
160C2×C7×D4—22no—
161C2×C7×D4—21no—
162C2×C7×D4—21no—
163C2×C7×D4—21no—
164C2×C7×D4—41no—
165C2×C7×D4—42no—
166C2×C7×D4—44no—
167C2×C7×D4—44no—
168C2×C7×D4—42no—
169C2×C7×D4—42no—
170C2×C7×D4—42no—
171C2×C7×D4C22⋊C411yescharacteristic
172C2×C7×D4C22⋊C411yescharacteristic
173C2×C7×D4C22⋊C411yescharacteristic
174C2×C7×D4C22⋊C412yes—
175C22×C4×C7—21no—
176C22×C4×C7—22no—
177C22×C4×C7—22no—
178C22×C4×C7—22no—
179C22×C4×C7—21no—
180C22×C4×C7—21no—
181C22×C4×C7—21no—
182C22×C4×C7—21no—
183C22×C4×C7—21no—
184C22×C4×C7—22no—
185C22×C4×C7—21no—
186C22×C4×C7—21no—
187C22×C4×C7—44no—
188C22×C4×C7—44no—
189C22×C4×C7—41no—
190C22×C4×C7—41no—
191C22×C4×C7—41no—
192C22×C4×C7—41no—
193C22×C4×C7—41no—
194C22×C4×C7C2×D411yescharacteristic
195C22×C4×C7C2×D411yescharacteristic
196C22×C4×C7C2×D411yescharacteristic
197C7×M16—41no—
198C7×M16—41no—
199C2×C7×C8—22no—
200C2×C7×C8—41no—
201C2×C7×C8—41no—
202C2×C7×C8—41no—
203C2×C7×C8—41no—
204C7×C4⋊C4—22no—
205C7×C4⋊C4—22no—
206C7×C4⋊C4—21no—
207C7×C4⋊C4—21no—
208C7×C4⋊C4—21no—
209C7×C4⋊C4—21no—
210C7×C4⋊C4—22no—
211C7×C4⋊C4—41no—
212C7×C4⋊C4C22⋊C411yescharacteristic
213C7×C4⋊C4C22⋊C411yescharacteristic
214C7×C4⋊C4C22⋊C411yescharacteristic
215C7×C4⋊C4C22⋊C411yescharacteristic
216C7×C4⋊C4C22⋊C412yes—
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—21no—
226C7×C22⋊C4—22no—
227C7×C22⋊C4—21no—
228C7×C22⋊C4—21no—
229C7×C22⋊C4—22no—
230C42×C7—21no—
231C42×C7—21no—
232C42×C7—21no—
233C42×C7—41no—
234C42×C7—41no—
235C42×C7C22×C411yescharacteristic
236C42×C7C2×D411yescharacteristic
237C42×C7C2×D411yescharacteristic
238C42×C7C2×D411yescharacteristic
239C22×#41—21no—
240#550C4×C711yescharacteristic, complemented
241D4×Q8C4×C711yescharacteristic, complemented
242#548—21no—
243#547—21no—
244#547C4×C711yescharacteristic, complemented
245#546—22no—
246#546—21no—
247D42—21no—
248D42C4×C711yescharacteristic, complemented
249#532—21no—
250#532C22×C711yescharacteristic
251#525—22no—
252#525—21no—
253C4×#41C22×C711yescharacteristic
254C2×C4×D4—21no—
255C2×C4×D4C22×C711yescharacteristic
256#431C22×C711yescharacteristic, complemented
257#423C22×C711yescharacteristic, complemented
258C2×#104—21no—
259C2×#102—21no—
260C2×C4×C8C22×C711yescharacteristic, complemented
261C4×C4⋊C4C22×C711yescharacteristic, complemented
262#340—21no—
263#339—21no—
264#327—22no—
265Q8⋊C8—21no—
266D4⋊C8—21no—
267D4⋊C8—21no—
268D4⋊C8—21no—
269D4⋊C8—22no—
270C23×C7—21no—
271C23×C7—21no—
272C23×C7—22no—
273C23×C7—21no—
274C23×C7—42no—
275C23×C7—44no—
276C23×C7—44no—
277C23×C7—41no—
278C23×C7—41no—
279C23×C7—81no—
280C23×C7—82no—
281C23×C7#12011yescharacteristic
282C7×Q8—21no—
283C7×Q8—44no—
284C7×Q8—41no—
285C7×Q8—41no—
286C7×Q8#10212yescomplemented
287C7×D4—22no—
288C7×D4—22no—
289C7×D4—21no—
290C7×D4—21no—
291C7×D4—21no—
292C7×D4—21no—
293C7×D4—42no—
294C7×D4—42no—
295C7×D4—44no—
296C7×D4—44no—
297C7×D4—44no—
298C7×D4—44no—
299C7×D4—42no—
300C7×D4—42no—
301C7×D4—41no—
302C7×D4—41no—
303C7×D4—41no—
304C7×D4—41no—
305C7×D4—82no—
306C7×D4#10212yescomplemented
307C7×D4#10412yescomplemented
308C2×C4×C7—21no—
309C2×C4×C7—21no—
310C2×C4×C7—21no—
311C2×C4×C7—22no—
312C2×C4×C7—22no—
313C2×C4×C7—21no—
314C2×C4×C7—21no—
315C2×C4×C7—21no—
316C2×C4×C7—22no—
317C2×C4×C7—21no—
318C2×C4×C7—41no—
319C2×C4×C7—44no—
320C2×C4×C7—44no—
321C2×C4×C7—44no—
322C2×C4×C7—41no—
323C2×C4×C7—41no—
324C2×C4×C7—41no—
325C2×C4×C7—41no—
326C2×C4×C7—41no—
327C2×C4×C7—41no—
328C2×C4×C7—41no—
329C2×C4×C7—41no—
330C2×C4×C7—41no—
331C2×C4×C7—42no—
332C2×C4×C7—41no—
333C2×C4×C7—41no—
334C2×C4×C7—42no—
335C2×C4×C7—41no—
336C2×C4×C7—42no—
337C2×C4×C7—81no—
338C2×C4×C7—81no—
339C2×C4×C7—81no—
340C2×C4×C7C2×C22⋊C411yescharacteristic
341C2×C4×C7C2×C22⋊C411yescharacteristic
342C2×C4×C7C2×C22⋊C411yescharacteristic
343C2×C4×C7#12011yescharacteristic
344C2×C4×C7#12011yescharacteristic
345C2×C4×C7#12011yescharacteristic
346C2×C4×C7C2×D811yescharacteristic
347C2×C4×C7C2×SD1611yescharacteristic
348C2×C4×C7AGL(1,ℤ/8)11yescharacteristic
349C2×C4×C7AGL(1,ℤ/8)11yescharacteristic
350C7×C8—42no—
351C7×C8—81no—
352C7×C8—81no—
353C2×#41—22no—
354C2×#41—22no—
355C2×#41—21no—
356C2×#41—21no—
357C2×#41—21no—
358C2×#41—42no—
359C2×#41—42no—
360C2×#41—42no—
361C2×#41—42no—
362C2×#41C7×D411yescharacteristic
363C22×Q8—21no—
364C22×D4—22no—
365C22×D4—21no—
366C22×D4—21no—
367C22×D4C7×D411yescharacteristic
368C23×C4—22no—
369C23×C4—21no—
370C2×M16—21no—
371C22×C8—21no—
372C4⋊Q8—21no—
373C4⋊Q8C2×C4×C711yescharacteristic
374#127—21no—
375#127C2×C4×C711yescharacteristic
376#124—22no—
377#124—21no—
378#123—22no—
379#123—22no—
380#123—22no—
381C22⋊Q8—22no—
382C22⋊Q8—21no—
383C22⋊Q8—22no—
384C22⋊Q8—21no—
385#121—22no—
386#121—22no—
387#121—22no—
388#121—21no—
389#121—21no—
390#121—21no—
391#121—21no—
392#121—21no—
393#121C7×D412yes—
394#120—22no—
395#120—22no—
396#120—22no—
397C4×Q8C2×C4×C711yescharacteristic
398C4×Q8C7×D411yescharacteristic
399C4×D4—22no—
400C4×D4—22no—
401C4×D4—22no—
402C4×D4—21no—
403C4×D4—21no—
404C4×D4—21no—
405C4×D4—21no—
406C4×D4—21no—
407C4×D4—21no—
408C4×D4—21no—
409C4×D4C2×C4×C711yescharacteristic
410C4×D4C2×C4×C711yescharacteristic
411C4×D4C2×C4×C711yescharacteristic
412C4×D4C7×D411yescharacteristic
413C4×D4C7×D411yescharacteristic
414C4×D4C7×D411yescharacteristic
415C4×D4C7×D412yes—
416#117—21no—
417#117C7×D411yescharacteristic
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4C7×D411yescharacteristic
421C2×C22⋊C4—22no—
422C2×C22⋊C4—21no—
423C2×C42—21no—
424C2×C42—21no—
425C2×C42C23×C711yescharacteristic
426C4⋊C8—21no—
427C4⋊C8—21no—
428C4⋊C8—21no—
429#104—42no—
430#102—24no—
431C22⋊C8—21no—
432C4×C8—21no—
433C4×C8—21no—
434C4×C8—21no—
435#95—21no—
436C22×C7—21no—
437C22×C7—21no—
438C22×C7—22no—
439C22×C7—22no—
440C22×C7—41no—
441C22×C7—41no—
442C22×C7—41no—
443C22×C7—41no—
444C22×C7—42no—
445C22×C7—41no—
446C22×C7—42no—
447C22×C7—41no—
448C22×C7—41no—
449C22×C7—42no—
450C22×C7—82no—
451C22×C7—82no—
452C22×C7—88no—
453C22×C7#37911yescharacteristic
454C22×C7#44711yescharacteristic
455C22×C7#45011yescharacteristic
456C4×C7—21no—
457C4×C7—21no—
458C4×C7—22no—
459C4×C7—21no—
460C4×C7—41no—
461C4×C7—41no—
462C4×C7—42no—
463C4×C7—41no—
464C4×C7—41no—
465C4×C7—82no—
466C4×C7C2×#10211yescharacteristic
467C4×C7#41811yescharacteristic
468C4×C7C2×#10411yescharacteristic
469C4×C7#42111yescharacteristic
470C4×C7#44711yescharacteristic
471C4×C7#45011yescharacteristic
472C24—22no—
473C24—21no—
474#41—21no—
475#41—21no—
476#41—44no—
477#41—44no—
478#41—44no—
479#41—44no—
480#41—42no—
481#41—42no—
482#41—42no—
483#41—42no—
484#41—41no—
485#41—41no—
486#41—41no—
487#41—41no—
488#41C7×D812yes—
489#41C7×SD1612yes—
490C2×Q8—22no—
491C2×Q8—21no—
492C2×Q8—42no—
493C2×Q8—42no—
494C2×Q8C7×C22⋊C411yescharacteristic
495C2×D4—21no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—41no—
507C2×D4—44no—
508C2×D4—44no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—42no—
512C2×D4—42no—
513C2×D4C7×C22⋊C411yescharacteristic
514C2×D4C7×C22⋊C411yescharacteristic
515C2×D4C7×C22⋊C411yescharacteristic
516C2×D4C7×C22⋊C412yes—
517C22×C4—21no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—41no—
532C22×C4—41no—
533C22×C4—41no—
534C22×C4—41no—
535C22×C4—41no—
536C22×C4C2×C7×D411yescharacteristic
537C22×C4C2×C7×D411yescharacteristic
538C22×C4C2×C7×D411yescharacteristic
539M16—41no—
540M16—41no—
541C2×C8—22no—
542C2×C8—41no—
543C2×C8—41no—
544C2×C8—41no—
545C2×C8—41no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—22no—
553C4⋊C4—41no—
554C4⋊C4C7×C22⋊C411yescharacteristic
555C4⋊C4C7×C22⋊C411yescharacteristic
556C4⋊C4C7×C22⋊C411yescharacteristic
557C4⋊C4C7×C22⋊C411yescharacteristic
558C4⋊C4C7×C22⋊C412yes—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—21no—
564C22⋊C4—21no—
565C22⋊C4—21no—
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—22no—
569C22⋊C4—21no—
570C22⋊C4—21no—
571C22⋊C4—22no—
572C42—21no—
573C42—21no—
574C42—21no—
575C42—41no—
576C42—41no—
577C42C22×C4×C711yescharacteristic
578C42C2×C7×D411yescharacteristic
579C42C2×C7×D411yescharacteristic
580C42C2×C7×D411yescharacteristic
581C2×C7—21no—
582C2×C7—21no—
583C2×C7—42no—
584C2×C7—42no—
585C2×C7—82no—
586C2×C7—81no—
587C2×C7#178611yescharacteristic
588C2×C7#178911yescharacteristic
589C2×C7#179411yescharacteristic
590C23—21no—
591C23—21no—
592C23—21no—
593C23—22no—
594C23—42no—
595C23—44no—
596C23—44no—
597C23—41no—
598C23—41no—
599C23—81no—
600C23—82no—
601C23C7×#12011yescharacteristic
602Q8—21no—
603Q8—44no—
604Q8—41no—
605Q8—41no—
606Q8C7×#10212yescomplemented
607D4—22no—
608D4—22no—
609D4—21no—
610D4—21no—
611D4—21no—
612D4—21no—
613D4—42no—
614D4—42no—
615D4—44no—
616D4—44no—
617D4—44no—
618D4—44no—
619D4—42no—
620D4—42no—
621D4—41no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—82no—
626D4C7×#10212yescomplemented
627D4C7×#10412yescomplemented
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—41no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—41no—
656C2×C4—42no—
657C2×C4—81no—
658C2×C4—81no—
659C2×C4—81no—
660C2×C4C2×C7×C22⋊C411yescharacteristic
661C2×C4C2×C7×C22⋊C411yescharacteristic
662C2×C4C2×C7×C22⋊C411yescharacteristic
663C2×C4C7×#12011yescharacteristic
664C2×C4C7×#12011yescharacteristic
665C2×C4C7×#12011yescharacteristic
666C2×C4C2×C7×D811yescharacteristic
667C2×C4C2×C7×SD1611yescharacteristic
668C2×C4C7×AGL(1,ℤ/8)11yescharacteristic
669C2×C4C7×AGL(1,ℤ/8)11yescharacteristic
670C8—42no—
671C8—81no—
672C8—81no—
673C7#843611yescharacteristic, direct product factor, Sylow
674C22—21no—
675C22—21no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—42no—
683C22—41no—
684C22—41no—
685C22—42no—
686C22—42no—
687C22—41no—
688C22—82no—
689C22—82no—
690C22—88no—
691C22C7×#37911yescharacteristic
692C22C7×#44711yescharacteristic
693C22C7×#45011yescharacteristic
694C4—22no—
695C4—21no—
696C4—21no—
697C4—21no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—82no—
704C4C2×C7×#10211yescharacteristic
705C4C7×#41811yescharacteristic
706C4C2×C7×#10411yescharacteristic
707C4C7×#42111yescharacteristic
708C4C7×#44711yescharacteristic
709C4C7×#45011yescharacteristic
710C2—21no—
711C2—21no—
712C2—42no—
713C2—42no—
714C2—81no—
715C2—82no—
716C2C7×#178611yescharacteristic
717C2C7×#178911yescharacteristic
718C2C7×#179411yescharacteristic
subgroupG/H
centerC2×C4×C7#120
commutatorC42C22×C4×C7
Frattini, cosocleC2×C42C23×C7
socleC22×C7#379
prime radicalC7×D4×#41C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C2×C4×C7 ◁ C2×C42×C7 ◁ G

Complements

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

NH ≅ G/Ntype
2. C7×#1806C2semidirect
3. C4×C7×#102C2semidirect
4. C7×#1502C2semidirect
5. C7×#1492C2semidirect
6. C7×#1486C2semidirect
7. C7×#1476C2semidirect
9. C7×#550C4semidirect
10. C7×D4×Q8C4semidirect
13. C7×#547C4semidirect
17. C7×D42C4semidirect
25. C7×#431C22semidirect
26. C7×#423C22semidirect
29. C2×C4×C7×C8C22semidirect
30. C4×C7×C4⋊C4C22semidirect
39. #8436C7direct (N × H)
124. #1806C2×C7semidirect
125. C4×#102C2×C7semidirect
126. #1502C2×C7semidirect
127. #1492C2×C7semidirect
128. #1486C2×C7semidirect
129. #1476C2×C7semidirect
240. #550C4×C7semidirect
241. D4×Q8C4×C7semidirect
244. #547C4×C7semidirect
248. D42C4×C7semidirect
256. #431C22×C7semidirect
257. #423C22×C7semidirect
260. C2×C4×C8C22×C7semidirect
261. C4×C4⋊C4C22×C7semidirect
286. C7×Q8#102semidirect
306. C7×D4#102semidirect
307. C7×D4#104semidirect
606. Q8C7×#102semidirect
626. D4C7×#102semidirect
627. D4C7×#104semidirect
673. C7#8436direct (N × H)

Maximal subgroups

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

subgroupindex
C7×D4×#412
C7×#18062
C4×C7×#1022
C7×#15022
C7×#14922
C7×#14862
C7×#14762
#84367