Finite Group Databasebeta

← C7×#60523 #13237739

Subgroups — C7×#60523 #13237739

Order 1792.

2184 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3488C211yesmaximal, characteristic
2C7×#3428C211yesmaximal, characteristic, complemented
3C7×#3099C213yesmaximal, complemented
4C7×#3098C213yesmaximal, complemented
5C7×#3096C213yesmaximal, complemented
6C7×#3096C213yesmaximal, complemented
7C7×#3094C213yesmaximal, complemented
8C7×#3093C213yesmaximal, complemented
9C7×#3091C213yesmaximal, complemented
10C2×C7×#482C213yesmaximal, complemented
11C7×#2913C211yesmaximal, characteristic, complemented
12C7×#2912C211yesmaximal, characteristic, complemented
13C7×#2897C211yesmaximal, characteristic, complemented
14C7×#2897C211yesmaximal, characteristic, complemented
15C7×#2880C211yesmaximal, characteristic, complemented
16C2×C7×H(5,𝔽2)C2211yescharacteristic
17C22×C7×#41C2211yescharacteristic
18C2×C7×#131C2211yescharacteristic
19C2×C7×#131C2211yescharacteristic
20C7×#550—21no—
21C7×#548—21no—
22C7×#546—23no—
23C7×D42—23no—
24C7×#537C2213yes—
25C7×#535C2213yes—
26C7×#525C2213yes—
27C2×C7×#121C2213yes—
28C7×#520C2211yescharacteristic
29C7×#520C2211yescharacteristic
30C7×#520C2211yescharacteristic
31C7×#520C2213yescomplemented
32C7×#520C2213yescomplemented
33C7×#519—21no—
34C7×#518—23no—
35C4×C7×#41—23no—
36C4×C7×#41—21no—
37C2×C7×#117C2213yescomplemented
38C2×C7×#117C2213yescomplemented
39C7×#485C2211yescharacteristic, complemented
40C7×#485C2213yescomplemented
41C7×#485C2216yescomplemented
42C7×#484C2213yescomplemented
43C7×#483C2213yescomplemented
44C7×#482C2213yescomplemented
45C7×#482C2216yescomplemented
46C7×#482C2216yescomplemented
47C7×#482C2216yescomplemented
48C7×#482C2213yescomplemented
49C7×#482C2216yescomplemented
50C7×#481C2213yescomplemented
51C7×#481C2216yescomplemented
52C7×#480C2213yescomplemented
53C7×#480C2216yescomplemented
54C7×#428C2213yescomplemented
55C7×#428C2213yescomplemented
56C7×#428C2213yescomplemented
57C7×#428C2213yescomplemented
58C7×#427C2213yescomplemented
59C7×#427C2213yescomplemented
60C2×C7×#107C2213yescomplemented
61C2×C7×#106C2213yescomplemented
62C7×#418C2213yescomplemented
63C7×#418C2213yescomplemented
64C7×#417C2213yescomplemented
65C7×#417C2213yescomplemented
66C7×#416C2213yescomplemented
67C7×#416C2213yescomplemented
68C2×C7×#102C2213yescomplemented
69C2×C7×#102C2213yescomplemented
70C7×#408C2213yescomplemented
71C7×#408C2213yescomplemented
72C7×#407C2213yescomplemented
73C2×C7×C22⋊C8C2213yescomplemented
74#60523C711yesmaximal, characteristic, direct product factor, Sylow
75C7×H(5,𝔽2)—24no—
76C7×H(5,𝔽2)—24no—
77C2×C7×#41—24no—
78C2×C7×#41—24no—
79C2×C7×#41—21no—
80C2×C7×#41D413yes—
81C2×C7×#41D411yescharacteristic
82C2×C7×#41C2313yes—
83C2×C7×#41C2313yes—
84C2×C7×#41C2311yescharacteristic
85C22×C7×Q8D411yescharacteristic
86C22×C7×D4—23no—
87C22×C7×D4—23no—
88C22×C7×D4D413yes—
89C22×C7×D4C2313yes—
90C23×C4×C7C2313yes—
91C7×#131—24no—
92C7×#131—24no—
93C2×C7×M16C2313yes—
94C2×C7×M16C2313yes—
95C22×C7×C8C2313yes—
96C22×C7×C8C2313yes—
97C7×#127—23no—
98C7×#124—23no—
99C7×#123—23no—
100C7×C22⋊Q8—23no—
101C7×C22⋊Q8C2313yes—
102C7×C22⋊Q8C2311yescharacteristic
103C7×#121—26no—
104C7×#121—23no—
105C7×#121—23no—
106C7×#121—23no—
107C7×#121C2316yes—
108C7×#121C2313yes—
109C7×#121C2313yes—
110C7×#120—23no—
111C7×#120—26no—
112C4×C7×Q8—21no—
113C4×C7×Q8—21no—
114C4×C7×Q8—23no—
115C4×C7×Q8—23no—
116C4×C7×Q8—21no—
117C4×C7×D4—23no—
118C4×C7×D4—23no—
119C4×C7×D4—26no—
120C4×C7×D4—26no—
121C4×C7×D4—23no—
122C4×C7×D4—23no—
123C4×C7×D4—23no—
124C4×C7×D4—23no—
125C4×C7×D4—23no—
126C7×#117—23no—
127C7×#117—23no—
128C7×#117—23no—
129C7×#117—23no—
130C7×#117C2313yes—
131C7×#117C2311yescharacteristic
132C7×#117C2316yes—
133C7×#117C2313yes—
134C7×#117C2313yes—
135C7×#117C2313yes—
136C2×C7×C4⋊C4C2313yes—
137C2×C7×C4⋊C4C2313yes—
138C2×C7×C4⋊C4C2313yes—
139C2×C7×C4⋊C4C2313yes—
140C2×C7×C4⋊C4C2313yes—
141C2×C7×C22⋊C4—23no—
142C2×C7×C22⋊C4—23no—
143C2×C7×C22⋊C4—23no—
144C2×C42×C7—23no—
145C2×C42×C7—23no—
146C7×#107C2311yescharacteristic
147C7×#107C2313yes—
148C7×#107C2316yes—
149C7×#107C2313yes—
150C7×#107C2313yes—
151C7×#106C2311yescharacteristic
152C7×#106C2313yes—
153C7×#106C2316yes—
154C7×#106C2313yes—
155C7×#106C2313yes—
156C7×#103C2311yescharacteristic
157C7×#103C2313yes—
158C7×#103C2311yescharacteristic
159C7×#103C2313yes—
160C7×#102C2313yes—
161C7×#102C2313yes—
162C7×#102C2313yes—
163C7×#102C2316yes—
164C7×#102C2313yes—
165C7×#102C2316yes—
166C7×C22⋊C8C2316yes—
167C7×C22⋊C8C2313yes—
168C7×C22⋊C8C2313yes—
169C7×C22⋊C8C2311yescharacteristic
170C7×C22⋊C8C2313yes—
171#3488C2×C711yescharacteristic
172#3428C2×C711yescharacteristic, complemented
173#3099C2×C713yescomplemented
174#3098C2×C713yescomplemented
175#3096C2×C713yescomplemented
176#3096C2×C713yescomplemented
177#3094C2×C713yescomplemented
178#3093C2×C713yescomplemented
179#3091C2×C713yescomplemented
180C2×#482C2×C713yescomplemented
181#2913C2×C711yescharacteristic, complemented
182#2912C2×C711yescharacteristic, complemented
183#2897C2×C711yescharacteristic, complemented
184#2897C2×C711yescharacteristic, complemented
185#2880C2×C711yescharacteristic, complemented
186C24×C7—23no—
187C24×C7C2×D413yes—
188C7×#41—24no—
189C7×#41—212no—
190C7×#41—26no—
191C7×#41—26no—
192C7×#41—26no—
193C7×#41—26no—
194C7×#41—44no—
195C7×#41#4114yes—
196C7×#41#4114yes—
197C2×C7×Q8—24no—
198C2×C7×Q8C2×D413yes—
199C2×C7×Q8C2×D411yescharacteristic
200C2×C7×Q8C2411yescharacteristic
201C2×C7×D4—212no—
202C2×C7×D4—23no—
203C2×C7×D4—23no—
204C2×C7×D4—23no—
205C2×C7×D4—26no—
206C2×C7×D4—23no—
207C2×C7×D4—26no—
208C2×C7×D4—26no—
209C2×C7×D4—412no—
210C2×C7×D4—86no—
211C2×C7×D4C2×D416yes—
212C2×C7×D4C2×D413yes—
213C2×C7×D4C2×D413yes—
214C2×C7×D4C2413yes—
215C22×C4×C7—26no—
216C22×C4×C7—26no—
217C22×C4×C7—23no—
218C22×C4×C7—23no—
219C22×C4×C7—23no—
220C22×C4×C7—23no—
221C22×C4×C7—23no—
222C22×C4×C7—23no—
223C22×C4×C7C2×D413yes—
224C22×C4×C7C2×D413yes—
225C22×C4×C7C2×D413yes—
226C22×C4×C7C2413yes—
227C22×C4×C7C2411yescharacteristic
228C22×C4×C7C2413yes—
229C7×M16—26no—
230C7×M16—26no—
231C2×C7×C8—26no—
232C2×C7×C8—26no—
233C2×C7×C8C2411yescharacteristic
234C2×C7×C8C2413yes—
235C2×C7×C8C2413yes—
236C2×C7×C8C2411yescharacteristic
237C7×C4⋊C4—23no—
238C7×C4⋊C4—23no—
239C7×C4⋊C4—23no—
240C7×C4⋊C4—23no—
241C7×C4⋊C4—23no—
242C7×C4⋊C4—21no—
243C7×C4⋊C4—23no—
244C7×C4⋊C4C2411yescharacteristic
245C7×C4⋊C4C2413yes—
246C7×C4⋊C4C2411yescharacteristic
247C7×C4⋊C4C2413yes—
248C7×C4⋊C4C2413yes—
249C7×C4⋊C4C2411yescharacteristic
250C7×C22⋊C4—23no—
251C7×C22⋊C4—21no—
252C7×C22⋊C4—26no—
253C7×C22⋊C4—23no—
254C7×C22⋊C4—23no—
255C7×C22⋊C4—23no—
256C7×C22⋊C4—21no—
257C7×C22⋊C4—23no—
258C7×C22⋊C4—23no—
259C7×C22⋊C4—26no—
260C7×C22⋊C4—23no—
261C42×C7—23no—
262C42×C7—21no—
263C42×C7—26no—
264C42×C7—23no—
265C42×C7—23no—
266C42×C7—23no—
267C2×H(5,𝔽2)C22×C711yescharacteristic
268C22×#41C22×C711yescharacteristic
269C2×#131C22×C711yescharacteristic
270C2×#131C22×C711yescharacteristic
271#550—21no—
272#548—21no—
273#546—23no—
274D42—23no—
275#537C22×C713yes—
276#535C22×C713yes—
277#525C22×C713yes—
278C2×#121C22×C713yes—
279#520C22×C711yescharacteristic
280#520C22×C711yescharacteristic
281#520C22×C711yescharacteristic
282#520C22×C713yescomplemented
283#520C22×C713yescomplemented
284#519—21no—
285#518—23no—
286C4×#41—23no—
287C4×#41—21no—
288C2×#117C22×C713yescomplemented
289C2×#117C22×C713yescomplemented
290#485C22×C711yescharacteristic, complemented
291#485C22×C713yescomplemented
292#485C22×C716yescomplemented
293#484C22×C713yescomplemented
294#483C22×C713yescomplemented
295#482C22×C713yescomplemented
296#482C22×C716yescomplemented
297#482C22×C716yescomplemented
298#482C22×C716yescomplemented
299#482C22×C713yescomplemented
300#482C22×C716yescomplemented
301#481C22×C713yescomplemented
302#481C22×C716yescomplemented
303#480C22×C713yescomplemented
304#480C22×C716yescomplemented
305#428C22×C713yescomplemented
306#428C22×C713yescomplemented
307#428C22×C713yescomplemented
308#428C22×C713yescomplemented
309#427C22×C713yescomplemented
310#427C22×C713yescomplemented
311C2×#107C22×C713yescomplemented
312C2×#106C22×C713yescomplemented
313#418C22×C713yescomplemented
314#418C22×C713yescomplemented
315#417C22×C713yescomplemented
316#417C22×C713yescomplemented
317#416C22×C713yescomplemented
318#416C22×C713yescomplemented
319C2×#102C22×C713yescomplemented
320C2×#102C22×C713yescomplemented
321#408C22×C713yescomplemented
322#408C22×C713yescomplemented
323#407C22×C713yescomplemented
324C2×C22⋊C8C22×C713yescomplemented
325C23×C7—26no—
326C23×C7—23no—
327C23×C7—43no—
328C23×C7—43no—
329C23×C7—46no—
330C23×C7—83no—
331C23×C7—83no—
332C23×C7C22×D411yescharacteristic
333C23×C7C22×D413yes—
334C23×C7C22×D413yes—
335C7×Q8—26no—
336C7×Q8—21no—
337C7×Q8—21no—
338C7×Q8#12314yes—
339C7×D4—212no—
340C7×D4—26no—
341C7×D4—23no—
342C7×D4—23no—
343C7×D4—46no—
344C7×D4—46no—
345C7×D4—46no—
346C7×D4—83no—
347C7×D4—86no—
348C7×D4#123112yes—
349C2×C4×C7—26no—
350C2×C4×C7—26no—
351C2×C4×C7—26no—
352C2×C4×C7—21no—
353C2×C4×C7—21no—
354C2×C4×C7—23no—
355C2×C4×C7—23no—
356C2×C4×C7—23no—
357C2×C4×C7—21no—
358C2×C4×C7—23no—
359C2×C4×C7—21no—
360C2×C4×C7—21no—
361C2×C4×C7—23no—
362C2×C4×C7—21no—
363C2×C4×C7—46no—
364C2×C4×C7—83no—
365C2×C4×C7—83no—
366C2×C4×C7—83no—
367C2×C4×C7—83no—
368C2×C4×C7—83no—
369C2×C4×C7C22×D411yescharacteristic
370C2×C4×C7C22×D413yes—
371C2×C4×C7C22×D413yes—
372C2×C4×C7C2×#4116yes—
373C2×C4×C7C2×#4116yes—
374C2×C4×C7C2511yescharacteristic
375C7×C8—21no—
376C7×C8—21no—
377C7×C8—23no—
378C7×C8—23no—
379H(5,𝔽2)—24no—
380H(5,𝔽2)—24no—
381C2×#41—24no—
382C2×#41—24no—
383C2×#41—21no—
384C2×#41C7×D413yes—
385C2×#41C7×D411yescharacteristic
386C2×#41C23×C713yes—
387C2×#41C23×C713yes—
388C2×#41C23×C711yescharacteristic
389C22×Q8C7×D411yescharacteristic
390C22×D4—23no—
391C22×D4—23no—
392C22×D4C7×D413yes—
393C22×D4C23×C713yes—
394C23×C4C23×C713yes—
395#131—24no—
396#131—24no—
397C2×M16C23×C713yes—
398C2×M16C23×C713yes—
399C22×C8C23×C713yes—
400C22×C8C23×C713yes—
401#127—23no—
402#124—23no—
403#123—23no—
404C22⋊Q8—23no—
405C22⋊Q8C23×C711yescharacteristic
406C22⋊Q8C23×C713yes—
407#121—26no—
408#121—23no—
409#121—23no—
410#121—23no—
411#121C23×C713yes—
412#121C23×C716yes—
413#121C23×C713yes—
414#120—23no—
415#120—26no—
416C4×Q8—21no—
417C4×Q8—21no—
418C4×Q8—23no—
419C4×Q8—23no—
420C4×Q8—21no—
421C4×D4—23no—
422C4×D4—23no—
423C4×D4—26no—
424C4×D4—26no—
425C4×D4—23no—
426C4×D4—23no—
427C4×D4—23no—
428C4×D4—23no—
429C4×D4—23no—
430#117—23no—
431#117—23no—
432#117—23no—
433#117—23no—
434#117C23×C713yes—
435#117C23×C711yescharacteristic
436#117C23×C713yes—
437#117C23×C713yes—
438#117C23×C716yes—
439#117C23×C713yes—
440C2×C4⋊C4C23×C713yes—
441C2×C4⋊C4C23×C713yes—
442C2×C4⋊C4C23×C713yes—
443C2×C4⋊C4C23×C713yes—
444C2×C4⋊C4C23×C713yes—
445C2×C22⋊C4—23no—
446C2×C22⋊C4—23no—
447C2×C22⋊C4—23no—
448C2×C42—23no—
449C2×C42—23no—
450#107C23×C713yes—
451#107C23×C716yes—
452#107C23×C711yescharacteristic
453#107C23×C713yes—
454#107C23×C713yes—
455#106C23×C713yes—
456#106C23×C716yes—
457#106C23×C711yescharacteristic
458#106C23×C713yes—
459#106C23×C713yes—
460#103C23×C711yescharacteristic
461#103C23×C711yescharacteristic
462#103C23×C713yes—
463#103C23×C713yes—
464#102C23×C713yes—
465#102C23×C713yes—
466#102C23×C716yes—
467#102C23×C716yes—
468#102C23×C713yes—
469#102C23×C713yes—
470C22⋊C8C23×C711yescharacteristic
471C22⋊C8C23×C713yes—
472C22⋊C8C23×C713yes—
473C22⋊C8C23×C713yes—
474C22⋊C8C23×C716yes—
475C22×C7—23no—
476C22×C7—23no—
477C22×C7—23no—
478C22×C7—21no—
479C22×C7—23no—
480C22×C7—21no—
481C22×C7—21no—
482C22×C7—23no—
483C22×C7—43no—
484C22×C7—43no—
485C22×C7—43no—
486C22×C7—86no—
487C22×C7—166no—
488C22×C7C2×#12316yes—
489C22×C7C23×D411yescharacteristic
490C4×C7—21no—
491C4×C7—23no—
492C4×C7—43no—
493C4×C7—41no—
494C4×C7—41no—
495C4×C7—43no—
496C4×C7—41no—
497C4×C7—43no—
498C4×C7—41no—
499C4×C7C2×#12316yes—
500C4×C7C22×#4111yescharacteristic
501C4×C7C22×#4111yescharacteristic
502C24—23no—
503C24C2×C7×D413yes—
504#41—24no—
505#41—212no—
506#41—26no—
507#41—26no—
508#41—26no—
509#41—26no—
510#41—44no—
511#41C7×#4114yes—
512#41C7×#4114yes—
513C2×Q8—24no—
514C2×Q8C2×C7×D413yes—
515C2×Q8C2×C7×D411yescharacteristic
516C2×Q8C24×C711yescharacteristic
517C2×D4—212no—
518C2×D4—23no—
519C2×D4—23no—
520C2×D4—23no—
521C2×D4—26no—
522C2×D4—23no—
523C2×D4—26no—
524C2×D4—26no—
525C2×D4—412no—
526C2×D4—86no—
527C2×D4C2×C7×D416yes—
528C2×D4C2×C7×D413yes—
529C2×D4C2×C7×D413yes—
530C2×D4C24×C713yes—
531C22×C4—26no—
532C22×C4—26no—
533C22×C4—23no—
534C22×C4—23no—
535C22×C4—23no—
536C22×C4—23no—
537C22×C4—23no—
538C22×C4—23no—
539C22×C4C2×C7×D413yes—
540C22×C4C2×C7×D413yes—
541C22×C4C2×C7×D413yes—
542C22×C4C24×C713yes—
543C22×C4C24×C711yescharacteristic
544C22×C4C24×C713yes—
545M16—26no—
546M16—26no—
547C2×C8—26no—
548C2×C8—26no—
549C2×C8C24×C711yescharacteristic
550C2×C8C24×C713yes—
551C2×C8C24×C713yes—
552C2×C8C24×C711yescharacteristic
553C4⋊C4—23no—
554C4⋊C4—23no—
555C4⋊C4—23no—
556C4⋊C4—23no—
557C4⋊C4—23no—
558C4⋊C4—21no—
559C4⋊C4—23no—
560C4⋊C4C24×C713yes—
561C4⋊C4C24×C711yescharacteristic
562C4⋊C4C24×C713yes—
563C4⋊C4C24×C711yescharacteristic
564C4⋊C4C24×C713yes—
565C4⋊C4C24×C711yescharacteristic
566C22⋊C4—23no—
567C22⋊C4—21no—
568C22⋊C4—26no—
569C22⋊C4—23no—
570C22⋊C4—23no—
571C22⋊C4—23no—
572C22⋊C4—21no—
573C22⋊C4—23no—
574C22⋊C4—23no—
575C22⋊C4—26no—
576C22⋊C4—23no—
577C42—23no—
578C42—21no—
579C42—26no—
580C42—23no—
581C42—23no—
582C42—23no—
583C2×C7—26no—
584C2×C7—43no—
585C2×C7—41no—
586C2×C7—83no—
587C2×C7C22×#12311yescharacteristic
588C2×C7#358411yescharacteristic
589C2×C7#358511yescharacteristic
590C23—26no—
591C23—23no—
592C23—43no—
593C23—43no—
594C23—46no—
595C23—83no—
596C23—83no—
597C23C22×C7×D411yescharacteristic
598C23C22×C7×D413yes—
599C23C22×C7×D413yes—
600Q8—26no—
601Q8—21no—
602Q8—21no—
603Q8C7×#12314yes—
604D4—212no—
605D4—23no—
606D4—23no—
607D4—26no—
608D4—46no—
609D4—46no—
610D4—46no—
611D4—83no—
612D4—86no—
613D4C7×#123112yes—
614C2×C4—26no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—23no—
618C2×C4—23no—
619C2×C4—26no—
620C2×C4—26no—
621C2×C4—23no—
622C2×C4—21no—
623C2×C4—23no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—23no—
627C2×C4—21no—
628C2×C4—46no—
629C2×C4—83no—
630C2×C4—83no—
631C2×C4—83no—
632C2×C4—83no—
633C2×C4—83no—
634C2×C4C22×C7×D411yescharacteristic
635C2×C4C22×C7×D413yes—
636C2×C4C22×C7×D413yes—
637C2×C4C2×C7×#4116yes—
638C2×C4C2×C7×#4116yes—
639C2×C4C25×C711yescharacteristic
640C8—21no—
641C8—21no—
642C8—23no—
643C8—23no—
644C7#6052311yescharacteristic, direct product factor, Sylow
645C22—23no—
646C22—23no—
647C22—23no—
648C22—21no—
649C22—23no—
650C22—21no—
651C22—21no—
652C22—23no—
653C22—43no—
654C22—43no—
655C22—43no—
656C22—86no—
657C22—166no—
658C22C2×C7×#12316yes—
659C22C23×C7×D411yescharacteristic
660C4—21no—
661C4—23no—
662C4—43no—
663C4—41no—
664C4—41no—
665C4—43no—
666C4—41no—
667C4—43no—
668C4—41no—
669C4C2×C7×#12316yes—
670C4C22×C7×#4111yescharacteristic
671C4C22×C7×#4111yescharacteristic
672C2—26no—
673C2—41no—
674C2—43no—
675C2—83no—
676C2C22×C7×#12311yescharacteristic
677C2C7×#358411yescharacteristic
678C2C7×#358511yescharacteristic
subgroupG/H
center, socleC22×C7C23×D4
commutator, Frattini, cosocleC2×C4C25×C7
prime radicalC7×#3488C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C7 ◁ C22×C7×#41 ◁ G

Complements

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

NH ≅ G/Ntype
2. C7×#3428C2semidirect
3. C7×#3099C2semidirect
4. C7×#3098C2semidirect
5. C7×#3096C2semidirect
6. C7×#3096C2semidirect
7. C7×#3094C2semidirect
8. C7×#3093C2semidirect
9. C7×#3091C2semidirect
10. C2×C7×#482C2semidirect
11. C7×#2913C2semidirect
12. C7×#2912C2semidirect
13. C7×#2897C2semidirect
14. C7×#2897C2semidirect
15. C7×#2880C2semidirect
31. C7×#520C22semidirect
32. C7×#520C22semidirect
37. C2×C7×#117C22semidirect
38. C2×C7×#117C22semidirect
39. C7×#485C22semidirect
40. C7×#485C22semidirect
41. C7×#485C22semidirect
42. C7×#484C22semidirect
43. C7×#483C22semidirect
44. C7×#482C22semidirect
45. C7×#482C22semidirect
46. C7×#482C22semidirect
47. C7×#482C22semidirect
48. C7×#482C22semidirect
49. C7×#482C22semidirect
50. C7×#481C22semidirect
51. C7×#481C22semidirect
52. C7×#480C22semidirect
53. C7×#480C22semidirect
54. C7×#428C22semidirect
55. C7×#428C22semidirect
56. C7×#428C22semidirect
57. C7×#428C22semidirect
58. C7×#427C22semidirect
59. C7×#427C22semidirect
60. C2×C7×#107C22semidirect
61. C2×C7×#106C22semidirect
62. C7×#418C22semidirect
63. C7×#418C22semidirect
64. C7×#417C22semidirect
65. C7×#417C22semidirect
66. C7×#416C22semidirect
67. C7×#416C22semidirect
68. C2×C7×#102C22semidirect
69. C2×C7×#102C22semidirect
70. C7×#408C22semidirect
71. C7×#408C22semidirect
72. C7×#407C22semidirect
73. C2×C7×C22⋊C8C22semidirect
74. #60523C7direct (N × H)
172. #3428C2×C7semidirect
173. #3099C2×C7semidirect
174. #3098C2×C7semidirect
175. #3096C2×C7semidirect
176. #3096C2×C7semidirect
177. #3094C2×C7semidirect
178. #3093C2×C7semidirect
179. #3091C2×C7semidirect
180. C2×#482C2×C7semidirect
181. #2913C2×C7semidirect
182. #2912C2×C7semidirect
183. #2897C2×C7semidirect
184. #2897C2×C7semidirect
185. #2880C2×C7semidirect
282. #520C22×C7semidirect
283. #520C22×C7semidirect
288. C2×#117C22×C7semidirect
289. C2×#117C22×C7semidirect
290. #485C22×C7semidirect
291. #485C22×C7semidirect
292. #485C22×C7semidirect
293. #484C22×C7semidirect
294. #483C22×C7semidirect
295. #482C22×C7semidirect
296. #482C22×C7semidirect
297. #482C22×C7semidirect
298. #482C22×C7semidirect
299. #482C22×C7semidirect
300. #482C22×C7semidirect
301. #481C22×C7semidirect
302. #481C22×C7semidirect
303. #480C22×C7semidirect
304. #480C22×C7semidirect
305. #428C22×C7semidirect
306. #428C22×C7semidirect
307. #428C22×C7semidirect
308. #428C22×C7semidirect
309. #427C22×C7semidirect
310. #427C22×C7semidirect
311. C2×#107C22×C7semidirect
312. C2×#106C22×C7semidirect
313. #418C22×C7semidirect
314. #418C22×C7semidirect
315. #417C22×C7semidirect
316. #417C22×C7semidirect
317. #416C22×C7semidirect
318. #416C22×C7semidirect
319. C2×#102C22×C7semidirect
320. C2×#102C22×C7semidirect
321. #408C22×C7semidirect
322. #408C22×C7semidirect
323. #407C22×C7semidirect
324. C2×C22⋊C8C22×C7semidirect
644. C7#60523direct (N × H)

Maximal subgroups

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

subgroupindex
C7×#34882
C7×#34282
C7×#30992
C7×#30982
C7×#30962
C7×#30942
C7×#30932
C7×#30912
C2×C7×#4822
C7×#29132
C7×#29122
C7×#28972
C7×#28802
#605237