Finite Group Databasebeta

← C7×#26748 #13203964

Subgroups — C7×#26748 #13203964

Order 1792.

798 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×#2491C211yesmaximal, characteristic
2C7×#2362C211yesmaximal, characteristic, complemented
3C7×#2055C211yesmaximal, characteristic, complemented
4C7×#2036C211yesmaximal, characteristic, complemented
5C7×#2024C211yesmaximal, characteristic, complemented
6C7×#2000C211yesmaximal, characteristic
7C7×#1988C211yesmaximal, characteristic, complemented
8C7×#1936C211yesmaximal, characteristic, complemented
9C7×#1925C211yesmaximal, characteristic, complemented
10C7×#1924C211yesmaximal, characteristic, complemented
11C7×#1921C211yesmaximal, characteristic, complemented
12C7×#1880C211yesmaximal, characteristic, complemented
13C7×#1875C211yesmaximal, characteristic
14C7×#1825C211yesmaximal, characteristic, complemented
15C7×#1763C211yesmaximal, characteristic, complemented
16C22×C7×SD16C2211yescharacteristic
17C2×C7×C4⋊Q8C2211yescharacteristic
18C2×C7×#124—21no—
19C2×C7×C22⋊Q8C2211yescharacteristic
20C2×C7×#121C2211yescharacteristic
21C2×C4×C7×Q8C2211yescharacteristic
22C2×C7×#117C2211yescharacteristic
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×#394—21no—
35C7×#393—21no—
36C7×#391C2211yescharacteristic
37C7×#390C2211yescharacteristic
38C7×#390C2211yescharacteristic
39C7×#389C2211yescharacteristic
40C7×#388—21no—
41C7×#388—21no—
42C7×#388—21no—
43C7×#387—21no—
44C7×#380C2211yescharacteristic
45C4×C7×C4⋊C4—21no—
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#26748C711yesmaximal, characteristic, direct product factor, Sylow
60C22×C7×Q8—21no—
61C22×C7×Q8C2311yescharacteristic
62C22×C7×D4—21no—
63C22×C7×D4C2311yescharacteristic
64C23×C4×C7C2311yescharacteristic
65C2×C7×SD16—22no—
66C2×C7×SD16—41no—
67C2×C7×SD16—41no—
68C22×C7×C8C2311yescharacteristic
69C22×C7×C8C2311yescharacteristic
70C22×C7×C8C2311yescharacteristic
71C22×C7×C8C2311yescharacteristic
72C7×C4⋊Q8—22no—
73C7×C4⋊Q8—41no—
74C7×#124—44no—
75C7×C22⋊Q8—22no—
76C7×C22⋊Q8—22no—
77C7×#121—22no—
78C7×#121—41no—
79C4×C7×Q8—22no—
80C4×C7×Q8—41no—
81C7×#117—22no—
82C7×#117—41no—
83C2×C7×C4⋊C4—21no—
84C2×C7×C4⋊C4—21no—
85C2×C7×C4⋊C4—21no—
86C2×C7×C4⋊C4—21no—
87C2×C7×C4⋊C4C2311yescharacteristic
88C2×C7×C4⋊C4C2311yescharacteristic
89C2×C7×C4⋊C4C2311yescharacteristic
90C2×C7×C4⋊C4C2311yescharacteristic
91C2×C7×C4⋊C4C2311yescharacteristic
92C2×C7×C4⋊C4C2311yescharacteristic
93C2×C7×C22⋊C4—21no—
94C2×C7×C22⋊C4—21no—
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×C7—21no—
106C2×C42×C7—21no—
107C2×C42×C7C2311yescharacteristic
108C2×C42×C7C2311yescharacteristic
109C7×#107—22no—
110C7×C4⋊C8—41no—
111C7×#103—22no—
112C7×#103—22no—
113C7×#103—41no—
114C7×#102—22no—
115C7×#102—22no—
116C7×#102—41no—
117C7×C22⋊C8—41no—
118C7×C22⋊C8—41no—
119C7×#97—41no—
120C7×#95—21no—
121C7×#95—21no—
122C7×#95—21no—
123C7×#95—21no—
124C7×#95—21no—
125C7×#95—21no—
126C7×#95D411yescharacteristic
127C7×#95D411yescharacteristic
128#2491C2×C711yescharacteristic
129#2362C2×C711yescharacteristic, complemented
130#2055C2×C711yescharacteristic, complemented
131#2036C2×C711yescharacteristic, complemented
132#2024C2×C711yescharacteristic, complemented
133#2000C2×C711yescharacteristic
134#1988C2×C711yescharacteristic, complemented
135#1936C2×C711yescharacteristic, complemented
136#1925C2×C711yescharacteristic, complemented
137#1924C2×C711yescharacteristic, complemented
138#1921C2×C711yescharacteristic, complemented
139#1880C2×C711yescharacteristic, complemented
140#1875C2×C711yescharacteristic
141#1825C2×C711yescharacteristic, complemented
142#1763C2×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—42no—
151C2×C7×Q8—42no—
152C2×C7×Q8—81no—
153C2×C7×Q8#4112yes—
154C2×C7×D4—21no—
155C2×C7×D4—21no—
156C2×C7×D4—21no—
157C2×C7×D4—21no—
158C2×C7×D4—21no—
159C2×C7×D4—21no—
160C2×C7×D4—42no—
161C2×C7×D4—42no—
162C2×C7×D4—81no—
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—21no—
174C22×C4×C7—21no—
175C22×C4×C7—21no—
176C22×C4×C7C2×D411yescharacteristic
177C22×C4×C7C2×D411yescharacteristic
178C22×C4×C7C2×D411yescharacteristic
179C22×C4×C7C2×D411yescharacteristic
180C22×C4×C7C2×D411yescharacteristic
181C22×C4×C7C2411yescharacteristic
182C7×SD16—44no—
183C2×C7×C8—21no—
184C2×C7×C8—21no—
185C2×C7×C8—21no—
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—
195C7×C4⋊C4—24no—
196C7×C4⋊C4—21no—
197C7×C4⋊C4—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—42no—
206C7×C4⋊C4—42no—
207C7×C4⋊C4—42no—
208C7×C4⋊C4#4112yes—
209C7×C4⋊C4#4112yes—
210C7×C4⋊C4#4112yes—
211C7×C22⋊C4—24no—
212C7×C22⋊C4—22no—
213C7×C22⋊C4—41no—
214C7×C22⋊C4—42no—
215C7×C22⋊C4—42no—
216C7×C22⋊C4—42no—
217C7×C22⋊C4—42no—
218C7×C22⋊C4—42no—
219C7×C22⋊C4—42no—
220C7×C22⋊C4—81no—
221C42×C7—21no—
222C42×C7—21no—
223C42×C7—21no—
224C42×C7—21no—
225C42×C7—42no—
226C42×C7—42no—
227C42×C7—42no—
228C42×C7—42no—
229C22×SD16C22×C711yescharacteristic
230C2×C4⋊Q8C22×C711yescharacteristic
231C2×#124—21no—
232C2×C22⋊Q8C22×C711yescharacteristic
233C2×#121C22×C711yescharacteristic
234C2×C4×Q8C22×C711yescharacteristic
235C2×#117C22×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#394—21no—
248#393—21no—
249#391C22×C711yescharacteristic
250#390C22×C711yescharacteristic
251#390C22×C711yescharacteristic
252#389C22×C711yescharacteristic
253#388—21no—
254#388—21no—
255#388—21no—
256#387—21no—
257#380C22×C711yescharacteristic
258C4×C4⋊C4—21no—
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—21no—
279C23×C7—41no—
280C23×C7—41no—
281C23×C7—41no—
282C23×C7—41no—
283C23×C7—41no—
284C23×C7—41no—
285C23×C7—41no—
286C23×C7C22×D411yescharacteristic
287C7×Q8—22no—
288C7×Q8—22no—
289C7×Q8—41no—
290C7×Q8—41no—
291C7×Q8—84no—
292C7×D4—41no—
293C7×D4—41no—
294C7×D4—41no—
295C7×D4—41no—
296C7×D4—84no—
297C2×C4×C7—21no—
298C2×C4×C7—21no—
299C2×C4×C7—22no—
300C2×C4×C7—22no—
301C2×C4×C7—21no—
302C2×C4×C7—21no—
303C2×C4×C7—21no—
304C2×C4×C7—21no—
305C2×C4×C7—22no—
306C2×C4×C7—21no—
307C2×C4×C7—21no—
308C2×C4×C7—22no—
309C2×C4×C7—21no—
310C2×C4×C7—21no—
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7—21no—
314C2×C4×C7—21no—
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×C7AGL(1,ℤ/8)12yes—
337C2×C4×C7C2×#4111yescharacteristic
338C2×C4×C7C2×#4111yescharacteristic
339C2×C4×C7C2×#4111yescharacteristic
340C2×C4×C7C2×#4111yescharacteristic
341C2×C4×C7H(5,𝔽2)11yescharacteristic
342C2×C4×C7H(5,𝔽2)11yescharacteristic
343C7×C8—41no—
344C7×C8—41no—
345C7×C8—41no—
346C7×C8—41no—
347C22×Q8—21no—
348C22×Q8C23×C711yescharacteristic
349C22×D4—21no—
350C22×D4C23×C711yescharacteristic
351C23×C4C23×C711yescharacteristic
352C2×SD16—22no—
353C2×SD16—41no—
354C2×SD16—41no—
355C22×C8C23×C711yescharacteristic
356C22×C8C23×C711yescharacteristic
357C22×C8C23×C711yescharacteristic
358C22×C8C23×C711yescharacteristic
359C4⋊Q8—22no—
360C4⋊Q8—41no—
361#124—44no—
362C22⋊Q8—22no—
363C22⋊Q8—22no—
364#121—22no—
365#121—41no—
366C4×Q8—22no—
367C4×Q8—41no—
368#117—22no—
369#117—41no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4C23×C711yescharacteristic
375C2×C4⋊C4C23×C711yescharacteristic
376C2×C4⋊C4C23×C711yescharacteristic
377C2×C4⋊C4C23×C711yescharacteristic
378C2×C4⋊C4C23×C711yescharacteristic
379C2×C4⋊C4C23×C711yescharacteristic
380C2×C22⋊C4—21no—
381C2×C22⋊C4—21no—
382C2×C22⋊C4—21no—
383C2×C22⋊C4—21no—
384C2×C22⋊C4—21no—
385C2×C22⋊C4—21no—
386C2×C22⋊C4—21no—
387C2×C22⋊C4—21no—
388C2×C22⋊C4C7×D411yescharacteristic
389C2×C22⋊C4C7×D411yescharacteristic
390C2×C42—21no—
391C2×C42—21no—
392C2×C42—21no—
393C2×C42—21no—
394C2×C42C23×C711yescharacteristic
395C2×C42C23×C711yescharacteristic
396#107—22no—
397C4⋊C8—41no—
398#103—22no—
399#103—22no—
400#103—41no—
401#102—22no—
402#102—22no—
403#102—41no—
404C22⋊C8—41no—
405C22⋊C8—41no—
406#97—41no—
407#95—21no—
408#95—21no—
409#95—21no—
410#95—21no—
411#95—21no—
412#95—21no—
413#95C7×D411yescharacteristic
414#95C7×D411yescharacteristic
415C22×C7—41no—
416C22×C7—41no—
417C22×C7—41no—
418C22×C7—41no—
419C22×C7—41no—
420C22×C7—41no—
421C22×C7—41no—
422C22×C7—81no—
423C22×C7—81no—
424C22×C7—81no—
425C22×C7—81no—
426C22×C7—81no—
427C22×C7—81no—
428C22×C7—81no—
429C22×C7#52511yescharacteristic
430C22×C7#54611yescharacteristic
431C22×C7#54611yescharacteristic
432C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
433C22×C7#57511yescharacteristic
434C22×C7#57711yescharacteristic
435C22×C7#57811yescharacteristic
436C4×C7—22no—
437C4×C7—41no—
438C4×C7—42no—
439C4×C7—42no—
440C4×C7—41no—
441C4×C7—42no—
442C4×C7—42no—
443C4×C7—41no—
444C4×C7—41no—
445C4×C7—81no—
446C4×C7—81no—
447C4×C7—81no—
448C4×C7#52911yescharacteristic
449C4×C7#53811yescharacteristic
450C4×C7#55511yescharacteristic
451C4×C7#55911yescharacteristic
452C24—21no—
453C24C2×C7×D411yescharacteristic
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—81no—
462C2×Q8C7×#4112yes—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—81no—
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—21no—
484C22×C4—21no—
485C22×C4C2×C7×D411yescharacteristic
486C22×C4C2×C7×D411yescharacteristic
487C22×C4C2×C7×D411yescharacteristic
488C22×C4C2×C7×D411yescharacteristic
489C22×C4C2×C7×D411yescharacteristic
490C22×C4C24×C711yescharacteristic
491SD16—44no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C4⋊C4—24no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—42no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4C7×#4112yes—
518C4⋊C4C7×#4112yes—
519C4⋊C4C7×#4112yes—
520C22⋊C4—24no—
521C22⋊C4—22no—
522C22⋊C4—41no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—81no—
530C42—21no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—42no—
535C42—42no—
536C42—42no—
537C42—42no—
538C2×C7—81no—
539C2×C7—161no—
540C2×C7#245911yescharacteristic
541C2×C7#311511yescharacteristic
542C2×C7#312111yescharacteristic
543C2×C7#331011yescharacteristic
544C2×C7#331311yescharacteristic
545C2×C7#332111yescharacteristic
546C2×C7#333011yescharacteristic
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23C22×C7×D411yescharacteristic
562Q8—22no—
563Q8—22no—
564Q8—41no—
565Q8—41no—
566Q8—84no—
567D4—41no—
568D4—41no—
569D4—41no—
570D4—41no—
571D4—84no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
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×C4C7×AGL(1,ℤ/8)12yes—
612C2×C4C2×C7×#4111yescharacteristic
613C2×C4C2×C7×#4111yescharacteristic
614C2×C4C2×C7×#4111yescharacteristic
615C2×C4C2×C7×#4111yescharacteristic
616C2×C4C7×H(5,𝔽2)11yescharacteristic
617C2×C4C7×H(5,𝔽2)11yescharacteristic
618C8—41no—
619C8—41no—
620C8—41no—
621C8—41no—
622C7#2674811yescharacteristic, direct product factor, Sylow
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22C7×#52511yescharacteristic
638C22C7×#54611yescharacteristic
639C22C7×#54611yescharacteristic
640C22C2×C7×AGL(1,ℤ/8)11yescharacteristic
641C22C7×#57511yescharacteristic
642C22C7×#57711yescharacteristic
643C22C7×#57811yescharacteristic
644C4—22no—
645C4—41no—
646C4—42no—
647C4—42no—
648C4—41no—
649C4—41no—
650C4—41no—
651C4—42no—
652C4—42no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4C7×#52911yescharacteristic
657C4C7×#53811yescharacteristic
658C4C7×#55511yescharacteristic
659C4C7×#55911yescharacteristic
660C2—81no—
661C2—161no—
662C2C7×#245911yescharacteristic
663C2C7×#311511yescharacteristic
664C2C7×#312111yescharacteristic
665C2C7×#331011yescharacteristic
666C2C7×#331311yescharacteristic
667C2C7×#332111yescharacteristic
668C2C7×#333011yescharacteristic
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
2. C7×#2362C2semidirect
3. C7×#2055C2semidirect
4. C7×#2036C2semidirect
5. C7×#2024C2semidirect
7. C7×#1988C2semidirect
8. C7×#1936C2semidirect
9. C7×#1925C2semidirect
10. C7×#1924C2semidirect
11. C7×#1921C2semidirect
12. C7×#1880C2semidirect
14. C7×#1825C2semidirect
15. C7×#1763C2semidirect
59. #26748C7direct (N × H)
129. #2362C2×C7semidirect
130. #2055C2×C7semidirect
131. #2036C2×C7semidirect
132. #2024C2×C7semidirect
134. #1988C2×C7semidirect
135. #1936C2×C7semidirect
136. #1925C2×C7semidirect
137. #1924C2×C7semidirect
138. #1921C2×C7semidirect
139. #1880C2×C7semidirect
141. #1825C2×C7semidirect
142. #1763C2×C7semidirect
622. C7#26748direct (N × H)

Maximal subgroups

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

subgroupindex
C7×#24912
C7×#23622
C7×#20552
C7×#20362
C7×#20242
C7×#20002
C7×#19882
C7×#19362
C7×#19252
C7×#19242
C7×#19212
C7×#18802
C7×#18752
C7×#18252
C7×#17632
#267487