Finite Group Databasebeta

← C7×#26736 #13203952

Subgroups — C7×#26736 #13203952

Order 1792.

826 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2489C211yesmaximal, characteristic, complemented
2C7×#2361C211yesmaximal, characteristic
3C7×#2055C211yesmaximal, characteristic, complemented
4C7×#2033C211yesmaximal, characteristic
5C7×#2025C211yesmaximal, characteristic, complemented
6C7×#2000C211yesmaximal, characteristic
7C7×#1989C211yesmaximal, characteristic, complemented
8C7×#1935C211yesmaximal, characteristic, complemented
9C7×#1928C211yesmaximal, characteristic, complemented
10C7×#1924C211yesmaximal, characteristic, complemented
11C7×#1921C211yesmaximal, characteristic, complemented
12C7×#1877C211yesmaximal, characteristic, complemented
13C7×#1872C211yesmaximal, characteristic, complemented
14C7×#1823C211yesmaximal, characteristic, complemented
15C7×#1762C211yesmaximal, characteristic, complemented
16C22×C7×SD16C2211yescharacteristic
17C2×C7×#125C2211yescharacteristic
18C2×C7×C22⋊Q8C2211yescharacteristic
19C2×C7×#121C2211yescharacteristic
20C2×C4×C7×D4—21no—
21C2×C4×C7×D4C2211yescharacteristic
22C22×C7×C4⋊C4C2211yescharacteristic
23C2×C7×#107C2211yescharacteristic
24C2×C7×C4⋊C8C2211yescharacteristic
25C2×C7×#103C2211yescharacteristic
26C2×C7×#103C2211yescharacteristic
27C2×C7×#103C2211yescharacteristic
28C2×C7×#102C2211yescharacteristic
29C2×C7×#102C2211yescharacteristic
30C2×C7×#102C2211yescharacteristic
31C2×C7×C22⋊C8C2211yescharacteristic
32C2×C7×C22⋊C8C2211yescharacteristic
33C2×C7×#97C2211yescharacteristic
34C7×#400—21no—
35C7×#397—21no—
36C7×#391C2211yescharacteristic
37C7×#391C2211yescharacteristic
38C7×#390C2211yescharacteristic
39C7×#389C2211yescharacteristic
40C7×#388—21no—
41C7×#388—21no—
42C7×#386—21no—
43C7×#385—21no—
44C7×#382—21no—
45C7×#380C2211yescharacteristic
46C4×C7×C4⋊C4C2211yescharacteristic
47C4×C7×C4⋊C4C2211yescharacteristic
48C4×C7×C22⋊C4C2211yescharacteristic
49C7×#340C2211yescharacteristic
50C7×#340C2211yescharacteristic
51C7×#340C2211yescharacteristic
52C7×#340C2211yescharacteristic
53C7×#340C2211yescharacteristic
54C7×#340C2211yescharacteristic
55C7×#340C2211yescharacteristic
56C7×#340C2211yescharacteristic
57C7×#336C2211yescharacteristic
58C7×#336C2211yescharacteristic
59#26736C711yesmaximal, characteristic, direct product factor, Sylow
60C22×C7×Q8C2311yescharacteristic
61C22×C7×D4—21no—
62C22×C7×D4C2311yescharacteristic
63C23×C4×C7—21no—
64C23×C4×C7—21no—
65C23×C4×C7C2311yescharacteristic
66C2×C7×SD16—22no—
67C2×C7×SD16—41no—
68C2×C7×SD16—41no—
69C22×C7×C8C2311yescharacteristic
70C22×C7×C8C2311yescharacteristic
71C22×C7×C8C2311yescharacteristic
72C22×C7×C8C2311yescharacteristic
73C7×#125—22no—
74C7×#125—41no—
75C7×C22⋊Q8—22no—
76C7×C22⋊Q8—41no—
77C7×#121—22no—
78C7×#121—22no—
79C4×C7×D4—22no—
80C4×C7×D4—41no—
81C4×C7×D4—44no—
82C2×C7×C4⋊C4—22no—
83C2×C7×C4⋊C4—21no—
84C2×C7×C4⋊C4—21no—
85C2×C7×C4⋊C4—21no—
86C2×C7×C4⋊C4—21no—
87C2×C7×C4⋊C4—21no—
88C2×C7×C4⋊C4—41no—
89C2×C7×C4⋊C4C2311yescharacteristic
90C2×C7×C4⋊C4C2311yescharacteristic
91C2×C7×C4⋊C4C2311yescharacteristic
92C2×C7×C4⋊C4C2311yescharacteristic
93C2×C7×C4⋊C4C2311yescharacteristic
94C2×C7×C4⋊C4C2311yescharacteristic
95C2×C7×C22⋊C4—21no—
96C2×C7×C22⋊C4—21no—
97C2×C7×C22⋊C4—21no—
98C2×C7×C22⋊C4—21no—
99C2×C7×C22⋊C4—21no—
100C2×C7×C22⋊C4—21no—
101C2×C7×C22⋊C4D411yescharacteristic
102C2×C7×C22⋊C4D411yescharacteristic
103C2×C42×C7—21no—
104C2×C42×C7—21no—
105C2×C42×C7C2311yescharacteristic
106C2×C42×C7C2311yescharacteristic
107C7×#107—22no—
108C7×C4⋊C8—41no—
109C7×#103—22no—
110C7×#103—22no—
111C7×#103—41no—
112C7×#102—22no—
113C7×#102—22no—
114C7×#102—41no—
115C7×C22⋊C8—41no—
116C7×C22⋊C8—41no—
117C7×#97—41no—
118C7×#95—21no—
119C7×#95—21no—
120C7×#95—21no—
121C7×#95—21no—
122C7×#95—21no—
123C7×#95—21no—
124C7×#95—21no—
125C7×#95—21no—
126C7×#95D411yescharacteristic
127C7×#95D411yescharacteristic
128#2489C2×C711yescharacteristic, complemented
129#2361C2×C711yescharacteristic
130#2055C2×C711yescharacteristic, complemented
131#2033C2×C711yescharacteristic
132#2025C2×C711yescharacteristic, complemented
133#2000C2×C711yescharacteristic
134#1989C2×C711yescharacteristic, complemented
135#1935C2×C711yescharacteristic, complemented
136#1928C2×C711yescharacteristic, complemented
137#1924C2×C711yescharacteristic, complemented
138#1921C2×C711yescharacteristic, complemented
139#1877C2×C711yescharacteristic, complemented
140#1872C2×C711yescharacteristic, complemented
141#1823C2×C711yescharacteristic, complemented
142#1762C2×C711yescharacteristic, complemented
143C24×C7—21no—
144C24×C7C2×D411yescharacteristic
145C2×C7×Q8—21no—
146C2×C7×Q8—21no—
147C2×C7×Q8—21no—
148C2×C7×Q8—21no—
149C2×C7×Q8—21no—
150C2×C7×Q8—21no—
151C2×C7×D4—24no—
152C2×C7×D4—21no—
153C2×C7×D4—21no—
154C2×C7×D4—21no—
155C2×C7×D4—21no—
156C2×C7×D4—21no—
157C2×C7×D4—42no—
158C2×C7×D4—42no—
159C2×C7×D4#4112yes—
160C22×C4×C7—21no—
161C22×C4×C7—21no—
162C22×C4×C7—21no—
163C22×C4×C7—21no—
164C22×C4×C7—21no—
165C22×C4×C7—21no—
166C22×C4×C7—21no—
167C22×C4×C7—21no—
168C22×C4×C7—21no—
169C22×C4×C7—21no—
170C22×C4×C7—21no—
171C22×C4×C7—21no—
172C22×C4×C7—21no—
173C22×C4×C7—42no—
174C22×C4×C7—42no—
175C22×C4×C7—42no—
176C22×C4×C7—42no—
177C22×C4×C7—81no—
178C22×C4×C7—81no—
179C22×C4×C7C2×D411yescharacteristic
180C22×C4×C7C2×D411yescharacteristic
181C22×C4×C7C2×D411yescharacteristic
182C22×C4×C7C2×D411yescharacteristic
183C22×C4×C7C2×D411yescharacteristic
184C22×C4×C7C2411yescharacteristic
185C7×SD16—44no—
186C2×C7×C8—21no—
187C2×C7×C8—21no—
188C2×C7×C8—21no—
189C2×C7×C8—21no—
190C2×C7×C8—21no—
191C2×C7×C8—21no—
192C2×C7×C8—21no—
193C2×C7×C8—21no—
194C2×C7×C8—21no—
195C2×C7×C8—21no—
196C2×C7×C8—21no—
197C2×C7×C8—21no—
198C7×C4⋊C4—21no—
199C7×C4⋊C4—21no—
200C7×C4⋊C4—21no—
201C7×C4⋊C4—21no—
202C7×C4⋊C4—21no—
203C7×C4⋊C4—21no—
204C7×C4⋊C4—21no—
205C7×C4⋊C4—21no—
206C7×C4⋊C4—21no—
207C7×C4⋊C4—42no—
208C7×C4⋊C4—42no—
209C7×C4⋊C4—42no—
210C7×C4⋊C4—42no—
211C7×C4⋊C4—42no—
212C7×C4⋊C4#4112yes—
213C7×C4⋊C4#4112yes—
214C7×C4⋊C4#4112yes—
215C7×C22⋊C4—24no—
216C7×C22⋊C4—22no—
217C7×C22⋊C4—41no—
218C7×C22⋊C4—42no—
219C7×C22⋊C4—42no—
220C7×C22⋊C4—42no—
221C7×C22⋊C4—42no—
222C7×C22⋊C4—81no—
223C42×C7—21no—
224C42×C7—21no—
225C42×C7—21no—
226C42×C7—21no—
227C42×C7—42no—
228C42×C7—42no—
229C22×SD16C22×C711yescharacteristic
230C2×#125C22×C711yescharacteristic
231C2×C22⋊Q8C22×C711yescharacteristic
232C2×#121C22×C711yescharacteristic
233C2×C4×D4—21no—
234C2×C4×D4C22×C711yescharacteristic
235C22×C4⋊C4C22×C711yescharacteristic
236C2×#107C22×C711yescharacteristic
237C2×C4⋊C8C22×C711yescharacteristic
238C2×#103C22×C711yescharacteristic
239C2×#103C22×C711yescharacteristic
240C2×#103C22×C711yescharacteristic
241C2×#102C22×C711yescharacteristic
242C2×#102C22×C711yescharacteristic
243C2×#102C22×C711yescharacteristic
244C2×C22⋊C8C22×C711yescharacteristic
245C2×C22⋊C8C22×C711yescharacteristic
246C2×#97C22×C711yescharacteristic
247#400—21no—
248#397—21no—
249#391C22×C711yescharacteristic
250#391C22×C711yescharacteristic
251#390C22×C711yescharacteristic
252#389C22×C711yescharacteristic
253#388—21no—
254#388—21no—
255#386—21no—
256#385—21no—
257#382—21no—
258#380C22×C711yescharacteristic
259C4×C4⋊C4C22×C711yescharacteristic
260C4×C4⋊C4C22×C711yescharacteristic
261C4×C22⋊C4C22×C711yescharacteristic
262#340C22×C711yescharacteristic
263#340C22×C711yescharacteristic
264#340C22×C711yescharacteristic
265#340C22×C711yescharacteristic
266#340C22×C711yescharacteristic
267#340C22×C711yescharacteristic
268#340C22×C711yescharacteristic
269#340C22×C711yescharacteristic
270#336C22×C711yescharacteristic
271#336C22×C711yescharacteristic
272C23×C7—21no—
273C23×C7—21no—
274C23×C7—21no—
275C23×C7—21no—
276C23×C7—21no—
277C23×C7—21no—
278C23×C7—22no—
279C23×C7—41no—
280C23×C7—41no—
281C23×C7—41no—
282C23×C7—41no—
283C23×C7—41no—
284C23×C7—41no—
285C23×C7AGL(1,ℤ/8)12yes—
286C23×C7C22×D411yescharacteristic
287C7×Q8—41no—
288C7×Q8—41no—
289C7×Q8—41no—
290C7×Q8—41no—
291C7×D4—22no—
292C7×D4—22no—
293C7×D4—48no—
294C7×D4—41no—
295C7×D4—41no—
296C2×C4×C7—21no—
297C2×C4×C7—22no—
298C2×C4×C7—21no—
299C2×C4×C7—21no—
300C2×C4×C7—21no—
301C2×C4×C7—21no—
302C2×C4×C7—22no—
303C2×C4×C7—22no—
304C2×C4×C7—21no—
305C2×C4×C7—21no—
306C2×C4×C7—21no—
307C2×C4×C7—21no—
308C2×C4×C7—21no—
309C2×C4×C7—21no—
310C2×C4×C7—21no—
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7—21no—
314C2×C4×C7—41no—
315C2×C4×C7—41no—
316C2×C4×C7—41no—
317C2×C4×C7—41no—
318C2×C4×C7—41no—
319C2×C4×C7—41no—
320C2×C4×C7—41no—
321C2×C4×C7—41no—
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—41no—
332C2×C4×C7—41no—
333C2×C4×C7—41no—
334C2×C4×C7—41no—
335C2×C4×C7—41no—
336C2×C4×C7—84no—
337C2×C4×C7—84no—
338C2×C4×C7C2×#4111yescharacteristic
339C2×C4×C7C2×#4111yescharacteristic
340C2×C4×C7C2×#4111yescharacteristic
341C2×C4×C7C2×#4111yescharacteristic
342C2×C4×C7H(5,𝔽2)11yescharacteristic
343C2×C4×C7H(5,𝔽2)11yescharacteristic
344C7×C8—41no—
345C7×C8—41no—
346C7×C8—41no—
347C7×C8—41no—
348C22×Q8C23×C711yescharacteristic
349C22×D4—21no—
350C22×D4C23×C711yescharacteristic
351C23×C4—21no—
352C23×C4—21no—
353C23×C4C23×C711yescharacteristic
354C2×SD16—22no—
355C2×SD16—41no—
356C2×SD16—41no—
357C22×C8C23×C711yescharacteristic
358C22×C8C23×C711yescharacteristic
359C22×C8C23×C711yescharacteristic
360C22×C8C23×C711yescharacteristic
361#125—22no—
362#125—41no—
363C22⋊Q8—22no—
364C22⋊Q8—41no—
365#121—22no—
366#121—22no—
367C4×D4—22no—
368C4×D4—41no—
369C4×D4—44no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—41no—
377C2×C4⋊C4C23×C711yescharacteristic
378C2×C4⋊C4C23×C711yescharacteristic
379C2×C4⋊C4C23×C711yescharacteristic
380C2×C4⋊C4C23×C711yescharacteristic
381C2×C4⋊C4C23×C711yescharacteristic
382C2×C4⋊C4C23×C711yescharacteristic
383C2×C22⋊C4—21no—
384C2×C22⋊C4—21no—
385C2×C22⋊C4—21no—
386C2×C22⋊C4—21no—
387C2×C22⋊C4—21no—
388C2×C22⋊C4—21no—
389C2×C22⋊C4C7×D411yescharacteristic
390C2×C22⋊C4C7×D411yescharacteristic
391C2×C42—21no—
392C2×C42—21no—
393C2×C42C23×C711yescharacteristic
394C2×C42C23×C711yescharacteristic
395#107—22no—
396C4⋊C8—41no—
397#103—22no—
398#103—22no—
399#103—41no—
400#102—22no—
401#102—22no—
402#102—41no—
403C22⋊C8—41no—
404C22⋊C8—41no—
405#97—41no—
406#95—21no—
407#95—21no—
408#95—21no—
409#95—21no—
410#95—21no—
411#95—21no—
412#95—21no—
413#95—21no—
414#95C7×D411yescharacteristic
415#95C7×D411yescharacteristic
416C22×C7—22no—
417C22×C7—22no—
418C22×C7—22no—
419C22×C7—41no—
420C22×C7—41no—
421C22×C7—41no—
422C22×C7—41no—
423C22×C7—42no—
424C22×C7—42no—
425C22×C7—42no—
426C22×C7—81no—
427C22×C7—81no—
428C22×C7—81no—
429C22×C7—81no—
430C22×C7#52511yescharacteristic
431C22×C7#54611yescharacteristic
432C22×C7#54611yescharacteristic
433C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
434C22×C7#57511yescharacteristic
435C22×C7#57711yescharacteristic
436C22×C7#57811yescharacteristic
437C4×C7—42no—
438C4×C7—41no—
439C4×C7—41no—
440C4×C7—42no—
441C4×C7—41no—
442C4×C7—41no—
443C4×C7—42no—
444C4×C7—41no—
445C4×C7—81no—
446C4×C7—81no—
447C4×C7—81no—
448C4×C7—81no—
449C4×C7#52911yescharacteristic
450C4×C7#53811yescharacteristic
451C4×C7#55511yescharacteristic
452C4×C7#55911yescharacteristic
453C24—21no—
454C24C2×C7×D411yescharacteristic
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×D4—24no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—42no—
468C2×D4—42no—
469C2×D4C7×#4112yes—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—81no—
488C22×C4—81no—
489C22×C4C2×C7×D411yescharacteristic
490C22×C4C2×C7×D411yescharacteristic
491C22×C4C2×C7×D411yescharacteristic
492C22×C4C2×C7×D411yescharacteristic
493C22×C4C2×C7×D411yescharacteristic
494C22×C4C24×C711yescharacteristic
495SD16—44no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—42no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4C7×#4112yes—
523C4⋊C4C7×#4112yes—
524C4⋊C4C7×#4112yes—
525C22⋊C4—24no—
526C22⋊C4—22no—
527C22⋊C4—41no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—81no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—21no—
537C42—42no—
538C42—42no—
539C2×C7—42no—
540C2×C7—82no—
541C2×C7#245911yescharacteristic
542C2×C7#311411yescharacteristic
543C2×C7#312011yescharacteristic
544C2×C7#330711yescharacteristic
545C2×C7#330811yescharacteristic
546C2×C7#331011yescharacteristic
547C2×C7#332711yescharacteristic
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—22no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23C7×AGL(1,ℤ/8)12yes—
562C23C22×C7×D411yescharacteristic
563Q8—41no—
564Q8—41no—
565Q8—41no—
566Q8—41no—
567D4—22no—
568D4—22no—
569D4—48no—
570D4—41no—
571D4—41no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—84no—
613C2×C4—84no—
614C2×C4C2×C7×#4111yescharacteristic
615C2×C4C2×C7×#4111yescharacteristic
616C2×C4C2×C7×#4111yescharacteristic
617C2×C4C2×C7×#4111yescharacteristic
618C2×C4C7×H(5,𝔽2)11yescharacteristic
619C2×C4C7×H(5,𝔽2)11yescharacteristic
620C8—41no—
621C8—41no—
622C8—41no—
623C8—41no—
624C7#2673611yescharacteristic, direct product factor, Sylow
625C22—22no—
626C22—22no—
627C22—22no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22C7×#52511yescharacteristic
640C22C7×#54611yescharacteristic
641C22C7×#54611yescharacteristic
642C22C2×C7×AGL(1,ℤ/8)11yescharacteristic
643C22C7×#57511yescharacteristic
644C22C7×#57711yescharacteristic
645C22C7×#57811yescharacteristic
646C4—41no—
647C4—41no—
648C4—42no—
649C4—41no—
650C4—41no—
651C4—42no—
652C4—41no—
653C4—42no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4C7×#52911yescharacteristic
659C4C7×#53811yescharacteristic
660C4C7×#55511yescharacteristic
661C4C7×#55911yescharacteristic
662C2—42no—
663C2—82no—
664C2C7×#245911yescharacteristic
665C2C7×#311411yescharacteristic
666C2C7×#312011yescharacteristic
667C2C7×#330711yescharacteristic
668C2C7×#330811yescharacteristic
669C2C7×#331011yescharacteristic
670C2C7×#332711yescharacteristic
subgroupG/H
center, socleC23×C7C22×D4
commutator, Frattini, cosocleC22×C4C24×C7
prime radicalC2×C7×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C7 ◁ C4×C7×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C7×#2489C2semidirect
3. C7×#2055C2semidirect
5. C7×#2025C2semidirect
7. C7×#1989C2semidirect
8. C7×#1935C2semidirect
9. C7×#1928C2semidirect
10. C7×#1924C2semidirect
11. C7×#1921C2semidirect
12. C7×#1877C2semidirect
13. C7×#1872C2semidirect
14. C7×#1823C2semidirect
15. C7×#1762C2semidirect
59. #26736C7direct (N × H)
128. #2489C2×C7semidirect
130. #2055C2×C7semidirect
132. #2025C2×C7semidirect
134. #1989C2×C7semidirect
135. #1935C2×C7semidirect
136. #1928C2×C7semidirect
137. #1924C2×C7semidirect
138. #1921C2×C7semidirect
139. #1877C2×C7semidirect
140. #1872C2×C7semidirect
141. #1823C2×C7semidirect
142. #1762C2×C7semidirect
624. C7#26736direct (N × H)

Maximal subgroups

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

subgroupindex
C7×#24892
C7×#23612
C7×#20552
C7×#20332
C7×#20252
C7×#20002
C7×#19892
C7×#19352
C7×#19282
C7×#19242
C7×#19212
C7×#18772
C7×#18722
C7×#18232
C7×#17622
#267367