Finite Group Databasebeta

← C7×#60524 #13237740

Subgroups — C7×#60524 #13237740

Order 1792.

2116 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3489C211yesmaximal, characteristic
2C7×#3428C211yesmaximal, characteristic, complemented
3C7×#3099C213yesmaximal, complemented
4C7×#3098C213yesmaximal, complemented
5C7×#3097C213yesmaximal, complemented
6C7×#3097C213yesmaximal, complemented
7C7×#3095C213yesmaximal, complemented
8C7×#3093C213yesmaximal, complemented
9C7×#3091C213yesmaximal, complemented
10C2×C7×#485C213yesmaximal, complemented
11C7×#2913C211yesmaximal, characteristic, complemented
12C7×#2912C211yesmaximal, characteristic, complemented
13C7×#2898C211yesmaximal, characteristic, complemented
14C7×#2898C211yesmaximal, characteristic, complemented
15C7×#2880C211yesmaximal, characteristic, complemented
16C2×C7×2−1+4C2211yescharacteristic
17C22×C7×#41C2211yescharacteristic
18C2×C7×#131C2211yescharacteristic
19C2×C7×#131C2211yescharacteristic
20C7×D4×Q8—21no—
21C7×#548—21no—
22C7×#547—23no—
23C7×#546—23no—
24C7×#537C2213yes—
25C7×#536C2213yes—
26C7×#525C2213yes—
27C2×C7×C22⋊Q8C2213yes—
28C7×#520C2211yescharacteristic
29C7×#520C2211yescharacteristic
30C7×#520C2211yescharacteristic
31C7×#520C2213yes—
32C7×#520C2213yes—
33C7×#519—21no—
34C7×#518—23no—
35C4×C7×#41—23no—
36C4×C7×#41—21no—
37C2×C7×#117C2213yes—
38C2×C7×#117C2213yes—
39C7×#485C2213yes—
40C7×#485C2216yes—
41C7×#485C2213yes—
42C7×#485C2216yescomplemented
43C7×#485C2216yescomplemented
44C7×#485C2216yescomplemented
45C7×#484C2213yescomplemented
46C7×#484C2216yescomplemented
47C7×#483C2213yescomplemented
48C7×#483C2216yescomplemented
49C7×#482C2211yescharacteristic
50C7×#482C2213yes—
51C7×#482C2216yescomplemented
52C7×#481C2213yescomplemented
53C7×#480C2213yescomplemented
54C7×#428C2213yescomplemented
55C7×#428C2213yescomplemented
56C7×#428C2213yescomplemented
57C7×#428C2213yescomplemented
58C7×#427C2213yescomplemented
59C7×#427C2213yescomplemented
60C2×C7×#107C2213yescomplemented
61C2×C7×#106C2213yescomplemented
62C7×#419C2213yescomplemented
63C7×#419C2213yescomplemented
64C7×#417C2213yescomplemented
65C7×#417C2213yescomplemented
66C7×#416C2213yescomplemented
67C7×#416C2213yescomplemented
68C2×C7×#103C2213yescomplemented
69C2×C7×#103C2213yescomplemented
70C7×#408C2213yes—
71C7×#408C2213yes—
72C7×#407C2213yes—
73C2×C7×C22⋊C8C2213yes—
74#60524C711yesmaximal, characteristic, direct product factor, Sylow
75C7×2−1+4—24no—
76C7×2−1+4—24no—
77C2×C7×#41—24no—
78C2×C7×#41—24no—
79C2×C7×#41—23no—
80C2×C7×#41D413yes—
81C2×C7×#41D411yescharacteristic
82C2×C7×#41C2313yes—
83C2×C7×#41C2313yes—
84C2×C7×#41C2311yescharacteristic
85C22×C7×Q8—21no—
86C22×C7×Q8D411yescharacteristic
87C22×C7×Q8C2313yes—
88C22×C7×D4D413yes—
89C23×C4×C7C2313yes—
90C7×#131—24no—
91C7×#131—24no—
92C2×C7×M16C2313yes—
93C2×C7×M16C2313yes—
94C22×C7×C8C2313yes—
95C22×C7×C8C2313yes—
96C7×C4⋊Q8—23no—
97C7×#124—23no—
98C7×#123—26no—
99C7×#123—23no—
100C7×C22⋊Q8—23no—
101C7×C22⋊Q8—23no—
102C7×C22⋊Q8—23no—
103C7×C22⋊Q8C2316yes—
104C7×C22⋊Q8C2313yes—
105C7×C22⋊Q8C2313yes—
106C7×#121—26no—
107C7×#121—23no—
108C7×#121C2313yes—
109C7×#121C2311yescharacteristic
110C7×#120—23no—
111C4×C7×Q8—23no—
112C4×C7×Q8—23no—
113C4×C7×Q8—21no—
114C4×C7×Q8—21no—
115C4×C7×Q8—21no—
116C4×C7×D4—26no—
117C4×C7×D4—26no—
118C4×C7×D4—23no—
119C4×C7×D4—23no—
120C4×C7×D4—23no—
121C4×C7×D4—23no—
122C4×C7×D4—23no—
123C4×C7×D4—23no—
124C4×C7×D4—23no—
125C7×#117—23no—
126C7×#117—23no—
127C7×#117—23no—
128C7×#117—23no—
129C7×#117C2311yescharacteristic
130C7×#117C2313yes—
131C7×#117C2316yes—
132C7×#117C2313yes—
133C7×#117C2313yes—
134C7×#117C2313yes—
135C2×C7×C4⋊C4—23no—
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×#107C2313yes—
147C7×#107C2313yes—
148C7×#107C2311yescharacteristic
149C7×#107C2313yes—
150C7×#107C2316yes—
151C7×#106C2313yes—
152C7×#106C2313yes—
153C7×#106C2311yescharacteristic
154C7×#106C2313yes—
155C7×#106C2316yes—
156C7×#103C2313yes—
157C7×#103C2313yes—
158C7×#103C2313yes—
159C7×#103C2316yes—
160C7×#103C2313yes—
161C7×#103C2316yes—
162C7×#102C2311yescharacteristic
163C7×#102C2313yes—
164C7×#102C2311yescharacteristic
165C7×#102C2313yes—
166C7×C22⋊C8C2313yes—
167C7×C22⋊C8C2313yes—
168C7×C22⋊C8C2311yescharacteristic
169C7×C22⋊C8C2313yes—
170C7×C22⋊C8C2316yes—
171#3489C2×C711yescharacteristic
172#3428C2×C711yescharacteristic, complemented
173#3099C2×C713yescomplemented
174#3098C2×C713yescomplemented
175#3097C2×C713yescomplemented
176#3097C2×C713yescomplemented
177#3095C2×C713yescomplemented
178#3093C2×C713yescomplemented
179#3091C2×C713yescomplemented
180C2×#485C2×C713yescomplemented
181#2913C2×C711yescharacteristic, complemented
182#2912C2×C711yescharacteristic, complemented
183#2898C2×C711yescharacteristic, complemented
184#2898C2×C711yescharacteristic, complemented
185#2880C2×C711yescharacteristic, complemented
186C24×C7C2×D413yes—
187C7×#41—24no—
188C7×#41—212no—
189C7×#41—26no—
190C7×#41—26no—
191C7×#41—26no—
192C7×#41—26no—
193C7×#41—412no—
194C7×#41#4114yes—
195C7×#41#4114yes—
196C2×C7×Q8—24no—
197C2×C7×Q8—23no—
198C2×C7×Q8—26no—
199C2×C7×Q8—26no—
200C2×C7×Q8—44no—
201C2×C7×Q8C2×D413yes—
202C2×C7×Q8C2×D411yescharacteristic
203C2×C7×Q8C2413yes—
204C2×C7×D4—212no—
205C2×C7×D4—21no—
206C2×C7×D4—23no—
207C2×C7×D4—23no—
208C2×C7×D4C2×D416yes—
209C2×C7×D4C2×D413yes—
210C2×C7×D4C2×D413yes—
211C2×C7×D4C2411yescharacteristic
212C22×C4×C7—26no—
213C22×C4×C7—26no—
214C22×C4×C7—23no—
215C22×C4×C7—23no—
216C22×C4×C7—23no—
217C22×C4×C7—23no—
218C22×C4×C7—23no—
219C22×C4×C7—23no—
220C22×C4×C7—23no—
221C22×C4×C7C2×D413yes—
222C22×C4×C7C2×D413yes—
223C22×C4×C7C2×D413yes—
224C22×C4×C7C2413yes—
225C22×C4×C7C2411yescharacteristic
226C22×C4×C7C2413yes—
227C7×M16—26no—
228C7×M16—26no—
229C2×C7×C8—26no—
230C2×C7×C8—26no—
231C2×C7×C8C2411yescharacteristic
232C2×C7×C8C2413yes—
233C2×C7×C8C2413yes—
234C2×C7×C8C2411yescharacteristic
235C7×C4⋊C4—23no—
236C7×C4⋊C4—26no—
237C7×C4⋊C4—23no—
238C7×C4⋊C4—23no—
239C7×C4⋊C4—23no—
240C7×C4⋊C4—23no—
241C7×C4⋊C4—23no—
242C7×C4⋊C4—23no—
243C7×C4⋊C4C2411yescharacteristic
244C7×C4⋊C4C2413yes—
245C7×C4⋊C4C2411yescharacteristic
246C7×C4⋊C4C2413yes—
247C7×C4⋊C4C2413yes—
248C7×C4⋊C4C2411yescharacteristic
249C7×C22⋊C4—23no—
250C7×C22⋊C4—21no—
251C7×C22⋊C4—23no—
252C7×C22⋊C4—26no—
253C7×C22⋊C4—23no—
254C7×C22⋊C4—23no—
255C7×C22⋊C4—26no—
256C7×C22⋊C4—23no—
257C7×C22⋊C4—23no—
258C7×C22⋊C4—21no—
259C7×C22⋊C4—23no—
260C42×C7—23no—
261C42×C7—21no—
262C42×C7—26no—
263C42×C7—23no—
264C42×C7—23no—
265C42×C7—23no—
266C2×2−1+4C22×C711yescharacteristic
267C22×#41C22×C711yescharacteristic
268C2×#131C22×C711yescharacteristic
269C2×#131C22×C711yescharacteristic
270D4×Q8—21no—
271#548—21no—
272#547—23no—
273#546—23no—
274#537C22×C713yes—
275#536C22×C713yes—
276#525C22×C713yes—
277C2×C22⋊Q8C22×C713yes—
278#520C22×C713yes—
279#520C22×C713yes—
280#520C22×C711yescharacteristic
281#520C22×C711yescharacteristic
282#520C22×C711yescharacteristic
283#519—21no—
284#518—23no—
285C4×#41—23no—
286C4×#41—21no—
287C2×#117C22×C713yes—
288C2×#117C22×C713yes—
289#485C22×C713yes—
290#485C22×C716yes—
291#485C22×C713yes—
292#485C22×C716yescomplemented
293#485C22×C716yescomplemented
294#485C22×C716yescomplemented
295#484C22×C713yescomplemented
296#484C22×C716yescomplemented
297#483C22×C713yescomplemented
298#483C22×C716yescomplemented
299#482C22×C711yescharacteristic
300#482C22×C713yes—
301#482C22×C716yescomplemented
302#481C22×C713yescomplemented
303#480C22×C713yescomplemented
304#428C22×C713yescomplemented
305#428C22×C713yescomplemented
306#428C22×C713yescomplemented
307#428C22×C713yescomplemented
308#427C22×C713yescomplemented
309#427C22×C713yescomplemented
310C2×#107C22×C713yescomplemented
311C2×#106C22×C713yescomplemented
312#419C22×C713yescomplemented
313#419C22×C713yescomplemented
314#417C22×C713yescomplemented
315#417C22×C713yescomplemented
316#416C22×C713yescomplemented
317#416C22×C713yescomplemented
318C2×#103C22×C713yescomplemented
319C2×#103C22×C713yescomplemented
320#408C22×C713yes—
321#408C22×C713yes—
322#407C22×C713yes—
323C2×C22⋊C8C22×C713yes—
324C23×C7—26no—
325C23×C7—21no—
326C23×C7—43no—
327C23×C7—43no—
328C23×C7C22×D411yescharacteristic
329C23×C7C22×D413yes—
330C23×C7C22×D413yes—
331C7×Q8—26no—
332C7×Q8—23no—
333C7×Q8—23no—
334C7×Q8—46no—
335C7×Q8#12314yes—
336C7×D4—212no—
337C7×D4—26no—
338C7×D4—21no—
339C7×D4—21no—
340C7×D4—42no—
341C7×D4—46no—
342C7×D4—83no—
343C7×D4#123112yes—
344C2×C4×C7—26no—
345C2×C4×C7—26no—
346C2×C4×C7—26no—
347C2×C4×C7—21no—
348C2×C4×C7—21no—
349C2×C4×C7—23no—
350C2×C4×C7—23no—
351C2×C4×C7—23no—
352C2×C4×C7—21no—
353C2×C4×C7—23no—
354C2×C4×C7—21no—
355C2×C4×C7—21no—
356C2×C4×C7—23no—
357C2×C4×C7—23no—
358C2×C4×C7—46no—
359C2×C4×C7—46no—
360C2×C4×C7—83no—
361C2×C4×C7—83no—
362C2×C4×C7—83no—
363C2×C4×C7—83no—
364C2×C4×C7—83no—
365C2×C4×C7C22×D411yescharacteristic
366C2×C4×C7C22×D413yes—
367C2×C4×C7C22×D413yes—
368C2×C4×C7C2×#4116yes—
369C2×C4×C7C2×#4116yes—
370C2×C4×C7C2511yescharacteristic
371C7×C8—21no—
372C7×C8—21no—
373C7×C8—23no—
374C7×C8—23no—
3752−1+4—24no—
3762−1+4—24no—
377C2×#41—24no—
378C2×#41—24no—
379C2×#41—23no—
380C2×#41C7×D413yes—
381C2×#41C7×D411yescharacteristic
382C2×#41C23×C713yes—
383C2×#41C23×C713yes—
384C2×#41C23×C711yescharacteristic
385C22×Q8—21no—
386C22×Q8C7×D411yescharacteristic
387C22×Q8C23×C713yes—
388C22×D4C7×D413yes—
389C23×C4C23×C713yes—
390#131—24no—
391#131—24no—
392C2×M16C23×C713yes—
393C2×M16C23×C713yes—
394C22×C8C23×C713yes—
395C22×C8C23×C713yes—
396C4⋊Q8—23no—
397#124—23no—
398#123—26no—
399#123—23no—
400C22⋊Q8—23no—
401C22⋊Q8—23no—
402C22⋊Q8—23no—
403C22⋊Q8C23×C713yes—
404C22⋊Q8C23×C716yes—
405C22⋊Q8C23×C713yes—
406#121—26no—
407#121—23no—
408#121C23×C711yescharacteristic
409#121C23×C713yes—
410#120—23no—
411C4×Q8—23no—
412C4×Q8—23no—
413C4×Q8—21no—
414C4×Q8—21no—
415C4×Q8—21no—
416C4×D4—26no—
417C4×D4—26no—
418C4×D4—23no—
419C4×D4—23no—
420C4×D4—23no—
421C4×D4—23no—
422C4×D4—23no—
423C4×D4—23no—
424C4×D4—23no—
425#117—23no—
426#117—23no—
427#117—23no—
428#117—23no—
429#117C23×C713yes—
430#117C23×C711yescharacteristic
431#117C23×C713yes—
432#117C23×C713yes—
433#117C23×C716yes—
434#117C23×C713yes—
435C2×C4⋊C4—23no—
436C2×C4⋊C4C23×C713yes—
437C2×C4⋊C4C23×C713yes—
438C2×C4⋊C4C23×C713yes—
439C2×C4⋊C4C23×C713yes—
440C2×C4⋊C4C23×C713yes—
441C2×C22⋊C4—23no—
442C2×C22⋊C4—23no—
443C2×C22⋊C4—23no—
444C2×C42—23no—
445C2×C42—23no—
446#107C23×C713yes—
447#107C23×C716yes—
448#107C23×C711yescharacteristic
449#107C23×C713yes—
450#107C23×C713yes—
451#106C23×C713yes—
452#106C23×C716yes—
453#106C23×C711yescharacteristic
454#106C23×C713yes—
455#106C23×C713yes—
456#103C23×C713yes—
457#103C23×C713yes—
458#103C23×C716yes—
459#103C23×C716yes—
460#103C23×C713yes—
461#103C23×C713yes—
462#102C23×C711yescharacteristic
463#102C23×C711yescharacteristic
464#102C23×C713yes—
465#102C23×C713yes—
466C22⋊C8C23×C711yescharacteristic
467C22⋊C8C23×C713yes—
468C22⋊C8C23×C713yes—
469C22⋊C8C23×C713yes—
470C22⋊C8C23×C716yes—
471C22×C7—23no—
472C22×C7—23no—
473C22×C7—23no—
474C22×C7—21no—
475C22×C7—23no—
476C22×C7—21no—
477C22×C7—21no—
478C22×C7—23no—
479C22×C7—41no—
480C22×C7—41no—
481C22×C7—41no—
482C22×C7—86no—
483C22×C7C2×#12316yes—
484C22×C7C23×D411yescharacteristic
485C4×C7—21no—
486C4×C7—23no—
487C4×C7—43no—
488C4×C7—41no—
489C4×C7—43no—
490C4×C7—43no—
491C4×C7—41no—
492C4×C7—41no—
493C4×C7—43no—
494C4×C7C2×#12316yes—
495C4×C7C22×#4111yescharacteristic
496C4×C7C22×#4111yescharacteristic
497C24C2×C7×D413yes—
498#41—24no—
499#41—212no—
500#41—26no—
501#41—26no—
502#41—26no—
503#41—26no—
504#41—412no—
505#41C7×#4114yes—
506#41C7×#4114yes—
507C2×Q8—24no—
508C2×Q8—23no—
509C2×Q8—26no—
510C2×Q8—26no—
511C2×Q8—44no—
512C2×Q8C2×C7×D413yes—
513C2×Q8C2×C7×D411yescharacteristic
514C2×Q8C24×C713yes—
515C2×D4—212no—
516C2×D4—21no—
517C2×D4—23no—
518C2×D4—23no—
519C2×D4C2×C7×D416yes—
520C2×D4C2×C7×D413yes—
521C2×D4C2×C7×D413yes—
522C2×D4C24×C711yescharacteristic
523C22×C4—26no—
524C22×C4—26no—
525C22×C4—23no—
526C22×C4—23no—
527C22×C4—23no—
528C22×C4—23no—
529C22×C4—23no—
530C22×C4—23no—
531C22×C4—23no—
532C22×C4C2×C7×D413yes—
533C22×C4C2×C7×D413yes—
534C22×C4C2×C7×D413yes—
535C22×C4C24×C713yes—
536C22×C4C24×C711yescharacteristic
537C22×C4C24×C713yes—
538M16—26no—
539M16—26no—
540C2×C8—26no—
541C2×C8—26no—
542C2×C8C24×C711yescharacteristic
543C2×C8C24×C713yes—
544C2×C8C24×C713yes—
545C2×C8C24×C711yescharacteristic
546C4⋊C4—23no—
547C4⋊C4—26no—
548C4⋊C4—23no—
549C4⋊C4—23no—
550C4⋊C4—23no—
551C4⋊C4—23no—
552C4⋊C4—23no—
553C4⋊C4—23no—
554C4⋊C4C24×C711yescharacteristic
555C4⋊C4C24×C713yes—
556C4⋊C4C24×C711yescharacteristic
557C4⋊C4C24×C713yes—
558C4⋊C4C24×C713yes—
559C4⋊C4C24×C711yescharacteristic
560C22⋊C4—23no—
561C22⋊C4—21no—
562C22⋊C4—23no—
563C22⋊C4—26no—
564C22⋊C4—23no—
565C22⋊C4—23no—
566C22⋊C4—26no—
567C22⋊C4—23no—
568C22⋊C4—23no—
569C22⋊C4—21no—
570C22⋊C4—23no—
571C42—23no—
572C42—21no—
573C42—26no—
574C42—23no—
575C42—23no—
576C42—23no—
577C2×C7—26no—
578C2×C7—43no—
579C2×C7—41no—
580C2×C7—81no—
581C2×C7C22×#12311yescharacteristic
582C2×C7#358411yescharacteristic
583C2×C7#358611yescharacteristic
584C23—26no—
585C23—21no—
586C23—43no—
587C23—43no—
588C23C22×C7×D411yescharacteristic
589C23C22×C7×D413yes—
590C23C22×C7×D413yes—
591Q8—26no—
592Q8—23no—
593Q8—23no—
594Q8—46no—
595Q8C7×#12314yes—
596D4—212no—
597D4—21no—
598D4—21no—
599D4—26no—
600D4—42no—
601D4—46no—
602D4—83no—
603D4C7×#123112yes—
604C2×C4—26no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—23no—
608C2×C4—23no—
609C2×C4—26no—
610C2×C4—26no—
611C2×C4—23no—
612C2×C4—21no—
613C2×C4—23no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—23no—
617C2×C4—23no—
618C2×C4—46no—
619C2×C4—46no—
620C2×C4—83no—
621C2×C4—83no—
622C2×C4—83no—
623C2×C4—83no—
624C2×C4—83no—
625C2×C4C22×C7×D411yescharacteristic
626C2×C4C22×C7×D413yes—
627C2×C4C22×C7×D413yes—
628C2×C4C2×C7×#4116yes—
629C2×C4C2×C7×#4116yes—
630C2×C4C25×C711yescharacteristic
631C8—21no—
632C8—21no—
633C8—23no—
634C8—23no—
635C7#6052411yescharacteristic, direct product factor, Sylow
636C22—23no—
637C22—23no—
638C22—23no—
639C22—21no—
640C22—23no—
641C22—21no—
642C22—21no—
643C22—23no—
644C22—41no—
645C22—41no—
646C22—41no—
647C22—86no—
648C22C2×C7×#12316yes—
649C22C23×C7×D411yescharacteristic
650C4—21no—
651C4—23no—
652C4—43no—
653C4—41no—
654C4—43no—
655C4—43no—
656C4—41no—
657C4—41no—
658C4—43no—
659C4C2×C7×#12316yes—
660C4C22×C7×#4111yescharacteristic
661C4C22×C7×#4111yescharacteristic
662C2—26no—
663C2—41no—
664C2—43no—
665C2—81no—
666C2C22×C7×#12311yescharacteristic
667C2C7×#358411yescharacteristic
668C2C7×#358611yescharacteristic
subgroupG/H
center, socleC22×C7C23×D4
commutator, Frattini, cosocleC2×C4C25×C7
prime radicalC7×#3489C2
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×#3097C2semidirect
6. C7×#3097C2semidirect
7. C7×#3095C2semidirect
8. C7×#3093C2semidirect
9. C7×#3091C2semidirect
10. C2×C7×#485C2semidirect
11. C7×#2913C2semidirect
12. C7×#2912C2semidirect
13. C7×#2898C2semidirect
14. C7×#2898C2semidirect
15. C7×#2880C2semidirect
42. C7×#485C22semidirect
43. C7×#485C22semidirect
44. C7×#485C22semidirect
45. C7×#484C22semidirect
46. C7×#484C22semidirect
47. C7×#483C22semidirect
48. C7×#483C22semidirect
51. C7×#482C22semidirect
52. C7×#481C22semidirect
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×#419C22semidirect
63. C7×#419C22semidirect
64. C7×#417C22semidirect
65. C7×#417C22semidirect
66. C7×#416C22semidirect
67. C7×#416C22semidirect
68. C2×C7×#103C22semidirect
69. C2×C7×#103C22semidirect
74. #60524C7direct (N × H)
172. #3428C2×C7semidirect
173. #3099C2×C7semidirect
174. #3098C2×C7semidirect
175. #3097C2×C7semidirect
176. #3097C2×C7semidirect
177. #3095C2×C7semidirect
178. #3093C2×C7semidirect
179. #3091C2×C7semidirect
180. C2×#485C2×C7semidirect
181. #2913C2×C7semidirect
182. #2912C2×C7semidirect
183. #2898C2×C7semidirect
184. #2898C2×C7semidirect
185. #2880C2×C7semidirect
292. #485C22×C7semidirect
293. #485C22×C7semidirect
294. #485C22×C7semidirect
295. #484C22×C7semidirect
296. #484C22×C7semidirect
297. #483C22×C7semidirect
298. #483C22×C7semidirect
301. #482C22×C7semidirect
302. #481C22×C7semidirect
303. #480C22×C7semidirect
304. #428C22×C7semidirect
305. #428C22×C7semidirect
306. #428C22×C7semidirect
307. #428C22×C7semidirect
308. #427C22×C7semidirect
309. #427C22×C7semidirect
310. C2×#107C22×C7semidirect
311. C2×#106C22×C7semidirect
312. #419C22×C7semidirect
313. #419C22×C7semidirect
314. #417C22×C7semidirect
315. #417C22×C7semidirect
316. #416C22×C7semidirect
317. #416C22×C7semidirect
318. C2×#103C22×C7semidirect
319. C2×#103C22×C7semidirect
635. C7#60524direct (N × H)

Maximal subgroups

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

subgroupindex
C7×#34892
C7×#34282
C7×#30992
C7×#30982
C7×#30972
C7×#30952
C7×#30932
C7×#30912
C2×C7×#4852
C7×#29132
C7×#29122
C7×#28982
C7×#28802
#605247