Finite Group Databasebeta

← C7×#27071 #13204287

Subgroups — C7×#27071 #13204287

Order 1792.

802 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2512C211yesmaximal, characteristic, complemented
2C7×#2367C211yesmaximal, characteristic, complemented
3C7×#2094C211yesmaximal, characteristic, complemented
4C7×#2054C211yesmaximal, characteristic
5C7×#2042C211yesmaximal, characteristic, complemented
6C7×#2012C211yesmaximal, characteristic
7C7×#1968C211yesmaximal, characteristic, complemented
8C7×#1927C211yesmaximal, characteristic, complemented
9C7×#1926C211yesmaximal, characteristic, complemented
10C7×#1920C211yesmaximal, characteristic, complemented
11C7×#1916C211yesmaximal, characteristic, complemented
12C7×#1880C211yesmaximal, characteristic, complemented
13C7×#1879C211yesmaximal, characteristic
14C7×#1803C211yesmaximal, characteristic, complemented
15C4×C7×#102C211yesmaximal, characteristic, complemented
16C22×C7×SD16C2211yescharacteristic
17C22×C7×D8C2211yescharacteristic
18C2×C7×#126—21no—
19C2×C7×#124C2211yescharacteristic
20C2×C4×C7×Q8C2211yescharacteristic
21C2×C4×C7×D4C2211yescharacteristic
22C2×C7×#106C2211yescharacteristic
23C2×C7×#106C2211yescharacteristic
24C2×C7×C4⋊C8C2211yescharacteristic
25C2×C7×#103C2211yescharacteristic
26C2×C7×#103C2211yescharacteristic
27C2×C7×#103C2211yescharacteristic
28C2×C7×#102C2211yescharacteristic
29C2×C7×#102C2211yescharacteristic
30C2×C7×#102C2211yescharacteristic
31C2×C7×#102C2211yescharacteristic
32C2×C7×#102C2211yescharacteristic
33C2×C4×C7×C8C2211yescharacteristic
34C7×#397—21no—
35C7×#396—21no—
36C7×#391C2211yescharacteristic
37C7×#390C2211yescharacteristic
38C7×#390C2211yescharacteristic
39C7×#390C2211yescharacteristic
40C7×#390C2211yescharacteristic
41C7×#389C2211yescharacteristic
42C7×#388—21no—
43C7×#388—21no—
44C7×#388—21no—
45C7×#385—21no—
46C7×#384C2211yescharacteristic
47C4×C7×C4⋊C4C2211yescharacteristic
48C4×C7×C4⋊C4C2211yescharacteristic
49C4×C7×C4⋊C4C2211yescharacteristic
50C4×C7×C22⋊C4—21no—
51C7×#340C2211yescharacteristic
52C7×#340C2211yescharacteristic
53C7×#340C2211yescharacteristic
54C7×#340C2211yescharacteristic
55C7×#336C2211yescharacteristic
56C7×#336C2211yescharacteristic
57C7×#336C2211yescharacteristic
58C7×#336C2211yescharacteristic
59#27071C711yesmaximal, characteristic, direct product factor, Sylow
60C22×C7×Q8C2311yescharacteristic
61C22×C7×D4C2311yescharacteristic
62C22×C7×D4C2311yescharacteristic
63C23×C4×C7—21no—
64C2×C7×SD16—22no—
65C2×C7×SD16—22no—
66C2×C7×SD16—41no—
67C2×C7×D8—22no—
68C2×C7×D8—41no—
69C2×C7×D8—41no—
70C22×C7×C8C2311yescharacteristic
71C22×C7×C8C2311yescharacteristic
72C22×C7×C8C2311yescharacteristic
73C22×C7×C8C2311yescharacteristic
74C7×#126—44no—
75C7×#124—22no—
76C7×#124—22no—
77C4×C7×Q8—22no—
78C4×C7×Q8—41no—
79C4×C7×D4—22no—
80C4×C7×D4—41no—
81C2×C7×C4⋊C4—21no—
82C2×C7×C4⋊C4—21no—
83C2×C7×C4⋊C4—21no—
84C2×C7×C4⋊C4—21no—
85C2×C7×C4⋊C4D411yescharacteristic
86C2×C7×C4⋊C4D411yescharacteristic
87C2×C7×C4⋊C4C2311yescharacteristic
88C2×C7×C4⋊C4C2311yescharacteristic
89C2×C7×C4⋊C4C2311yescharacteristic
90C2×C7×C4⋊C4C2311yescharacteristic
91C2×C7×C4⋊C4C2311yescharacteristic
92C2×C7×C22⋊C4—21no—
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⋊C4—21no—
102C2×C7×C22⋊C4—21no—
103C2×C42×C7—21no—
104C2×C42×C7—21no—
105C2×C42×C7—21no—
106C2×C42×C7C2311yescharacteristic
107C2×C42×C7C2311yescharacteristic
108C2×C42×C7C2311yescharacteristic
109C7×#106—22no—
110C7×#106—41no—
111C7×C4⋊C8—41no—
112C7×#103—22no—
113C7×#103—41no—
114C7×#103—41no—
115C7×#102—22no—
116C7×#102—22no—
117C7×#102—22no—
118C7×#102—41no—
119C7×#102—41no—
120C4×C7×C8—41no—
121C7×#95—21no—
122C7×#95—21no—
123C7×#95—21no—
124C7×#95—21no—
125C7×#95—21no—
126C7×#95D411yescharacteristic
127C7×#95D411yescharacteristic
128#2512C2×C711yescharacteristic, complemented
129#2367C2×C711yescharacteristic, complemented
130#2094C2×C711yescharacteristic, complemented
131#2054C2×C711yescharacteristic
132#2042C2×C711yescharacteristic, complemented
133#2012C2×C711yescharacteristic
134#1968C2×C711yescharacteristic, complemented
135#1927C2×C711yescharacteristic, complemented
136#1926C2×C711yescharacteristic, complemented
137#1920C2×C711yescharacteristic, complemented
138#1916C2×C711yescharacteristic, complemented
139#1880C2×C711yescharacteristic, complemented
140#1879C2×C711yescharacteristic
141#1803C2×C711yescharacteristic, complemented
142C4×#102C2×C711yescharacteristic, complemented
143C24×C7—21no—
144C24×C7—21no—
145C2×C7×Q8—21no—
146C2×C7×Q8—21no—
147C2×C7×Q8—21no—
148C2×C7×Q8—21no—
149C2×C7×Q8—21no—
150C2×C7×Q8#4112yes—
151C2×C7×D4—21no—
152C2×C7×D4—21no—
153C2×C7×D4—21no—
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—21no—
161C2×C7×D4—21no—
162C2×C7×D4#4112yes—
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—42no—
170C22×C4×C7—42no—
171C22×C4×C7—81no—
172C22×C4×C7C2×D411yescharacteristic
173C22×C4×C7C2×D411yescharacteristic
174C22×C4×C7C2×D411yescharacteristic
175C22×C4×C7C2×D411yescharacteristic
176C22×C4×C7C2×D411yescharacteristic
177C22×C4×C7C2×D411yescharacteristic
178C22×C4×C7C2411yescharacteristic
179C7×SD16—44no—
180C7×D8—44no—
181C2×C7×C8—21no—
182C2×C7×C8—21no—
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#4112yes—
193C7×C4⋊C4—22no—
194C7×C4⋊C4—22no—
195C7×C4⋊C4—21no—
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—42no—
205C7×C4⋊C4—42no—
206C7×C4⋊C4—42no—
207C7×C4⋊C4—81no—
208C7×C4⋊C4#4112yes—
209C7×C22⋊C4—24no—
210C7×C22⋊C4—24no—
211C7×C22⋊C4—42no—
212C7×C22⋊C4—42no—
213C7×C22⋊C4—42no—
214C7×C22⋊C4—42no—
215C7×C22⋊C4—42no—
216C7×C22⋊C4—42no—
217C7×C22⋊C4—81no—
218C7×C22⋊C4—81no—
219C7×C22⋊C4—81no—
220C42×C7—21no—
221C42×C7—21no—
222C42×C7—21no—
223C42×C7—21no—
224C42×C7—21no—
225C42×C7—21no—
226C42×C7—42no—
227C42×C7—42no—
228C42×C7—81no—
229C22×SD16C22×C711yescharacteristic
230C22×D8C22×C711yescharacteristic
231C2×#126—21no—
232C2×#124C22×C711yescharacteristic
233C2×C4×Q8C22×C711yescharacteristic
234C2×C4×D4C22×C711yescharacteristic
235C2×#106C22×C711yescharacteristic
236C2×#106C22×C711yescharacteristic
237C2×C4⋊C8C22×C711yescharacteristic
238C2×#103C22×C711yescharacteristic
239C2×#103C22×C711yescharacteristic
240C2×#103C22×C711yescharacteristic
241C2×#102C22×C711yescharacteristic
242C2×#102C22×C711yescharacteristic
243C2×#102C22×C711yescharacteristic
244C2×#102C22×C711yescharacteristic
245C2×#102C22×C711yescharacteristic
246C2×C4×C8C22×C711yescharacteristic
247#397—21no—
248#396—21no—
249#391C22×C711yescharacteristic
250#390C22×C711yescharacteristic
251#390C22×C711yescharacteristic
252#390C22×C711yescharacteristic
253#390C22×C711yescharacteristic
254#389C22×C711yescharacteristic
255#388—21no—
256#388—21no—
257#388—21no—
258#385—21no—
259#384C22×C711yescharacteristic
260C4×C4⋊C4C22×C711yescharacteristic
261C4×C4⋊C4C22×C711yescharacteristic
262C4×C4⋊C4C22×C711yescharacteristic
263C4×C22⋊C4—21no—
264#340C22×C711yescharacteristic
265#340C22×C711yescharacteristic
266#340C22×C711yescharacteristic
267#340C22×C711yescharacteristic
268#336C22×C711yescharacteristic
269#336C22×C711yescharacteristic
270#336C22×C711yescharacteristic
271#336C22×C711yescharacteristic
272C23×C7—22no—
273C23×C7—41no—
274C23×C7—41no—
275C23×C7—41no—
276C23×C7—41no—
277C23×C7—41no—
278C23×C7—41no—
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×D4—22no—
292C7×D4—22no—
293C7×D4—41no—
294C7×D4—41no—
295C7×D4—41no—
296C7×D4—41no—
297C7×D4—41no—
298C7×D4—41no—
299C2×C4×C7—21no—
300C2×C4×C7—21no—
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—21no—
316C2×C4×C7—21no—
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—84no—
334C2×C4×C7#13512yes—
335C2×C4×C7AGL(1,ℤ/8)12yes—
336C2×C4×C7C2×#4111yescharacteristic
337C2×C4×C7C2×#4111yescharacteristic
338C2×C4×C7C2×#4111yescharacteristic
339C2×C4×C7C2×#4111yescharacteristic
340C2×C4×C7H(5,𝔽2)11yescharacteristic
341C2×C4×C7H(5,𝔽2)11yescharacteristic
342C7×C8—22no—
343C7×C8—41no—
344C7×C8—41no—
345C7×C8—41no—
346C22×Q8C23×C711yescharacteristic
347C22×D4C23×C711yescharacteristic
348C22×D4C23×C711yescharacteristic
349C23×C4—21no—
350C2×SD16—22no—
351C2×SD16—22no—
352C2×SD16—41no—
353C2×D8—22no—
354C2×D8—41no—
355C2×D8—41no—
356C22×C8C23×C711yescharacteristic
357C22×C8C23×C711yescharacteristic
358C22×C8C23×C711yescharacteristic
359C22×C8C23×C711yescharacteristic
360#126—44no—
361#124—22no—
362#124—22no—
363C4×Q8—22no—
364C4×Q8—41no—
365C4×D4—22no—
366C4×D4—41no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4C7×D411yescharacteristic
372C2×C4⋊C4C7×D411yescharacteristic
373C2×C4⋊C4C23×C711yescharacteristic
374C2×C4⋊C4C23×C711yescharacteristic
375C2×C4⋊C4C23×C711yescharacteristic
376C2×C4⋊C4C23×C711yescharacteristic
377C2×C4⋊C4C23×C711yescharacteristic
378C2×C22⋊C4—21no—
379C2×C22⋊C4—21no—
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⋊C4—21no—
389C2×C42—21no—
390C2×C42—21no—
391C2×C42—21no—
392C2×C42C23×C711yescharacteristic
393C2×C42C23×C711yescharacteristic
394C2×C42C23×C711yescharacteristic
395#106—22no—
396#106—41no—
397C4⋊C8—41no—
398#103—22no—
399#103—41no—
400#103—41no—
401#102—22no—
402#102—22no—
403#102—22no—
404#102—41no—
405#102—41no—
406C4×C8—41no—
407#95—21no—
408#95—21no—
409#95—21no—
410#95—21no—
411#95—21no—
412#95C7×D411yescharacteristic
413#95C7×D411yescharacteristic
414C22×C7—42no—
415C22×C7—42no—
416C22×C7—42no—
417C22×C7—81no—
418C22×C7—81no—
419C22×C7—81no—
420C22×C7—81no—
421C22×C7—81no—
422C22×C7—81no—
423C22×C7—81no—
424C22×C7—81no—
425C22×C7—81no—
426C22×C7—81no—
427C22×C7—81no—
428C22×C7#52511yescharacteristic
429C22×C7#54611yescharacteristic
430C22×C7#55011yescharacteristic
431C22×C7C2×#13511yescharacteristic
432C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
433C22×C7#57711yescharacteristic
434C22×C7#57711yescharacteristic
435C4×C7—22no—
436C4×C7—22no—
437C4×C7—41no—
438C4×C7—41no—
439C4×C7—42no—
440C4×C7—41no—
441C4×C7—41no—
442C4×C7—42no—
443C4×C7—81no—
444C4×C7—81no—
445C4×C7—81no—
446C4×C7—81no—
447C4×C7#52911yescharacteristic
448C4×C7#53811yescharacteristic
449C4×C7#55111yescharacteristic
450C4×C7#55311yescharacteristic
451C24—21no—
452C24—21no—
453C2×Q8—21no—
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8C7×#4112yes—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4C7×#4112yes—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—81no—
480C22×C4C2×C7×D411yescharacteristic
481C22×C4C2×C7×D411yescharacteristic
482C22×C4C2×C7×D411yescharacteristic
483C22×C4C2×C7×D411yescharacteristic
484C22×C4C2×C7×D411yescharacteristic
485C22×C4C2×C7×D411yescharacteristic
486C22×C4C24×C711yescharacteristic
487SD16—44no—
488D8—44no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
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×C8C7×#4112yes—
501C4⋊C4—22no—
502C4⋊C4—22no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—42no—
513C4⋊C4—42no—
514C4⋊C4—42no—
515C4⋊C4—81no—
516C4⋊C4C7×#4112yes—
517C22⋊C4—24no—
518C22⋊C4—24no—
519C22⋊C4—42no—
520C22⋊C4—42no—
521C22⋊C4—42no—
522C22⋊C4—42no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—81no—
526C22⋊C4—81no—
527C22⋊C4—81no—
528C42—21no—
529C42—21no—
530C42—21no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—42no—
535C42—42no—
536C42—81no—
537C2×C7—82no—
538C2×C7—161no—
539C2×C7#246711yescharacteristic
540C2×C7#310611yescharacteristic
541C2×C7#312511yescharacteristic
542C2×C7#330111yescharacteristic
543C2×C7#330611yescharacteristic
544C2×C7#339411yescharacteristic
545C2×C7#339711yescharacteristic
546C23—22no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23C22×C7×D411yescharacteristic
561Q8—22no—
562Q8—22no—
563Q8—41no—
564Q8—41no—
565D4—22no—
566D4—22no—
567D4—41no—
568D4—41no—
569D4—41no—
570D4—41no—
571D4—41no—
572D4—41no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
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—84no—
608C2×C4C7×#13512yes—
609C2×C4C7×AGL(1,ℤ/8)12yes—
610C2×C4C2×C7×#4111yescharacteristic
611C2×C4C2×C7×#4111yescharacteristic
612C2×C4C2×C7×#4111yescharacteristic
613C2×C4C2×C7×#4111yescharacteristic
614C2×C4C7×H(5,𝔽2)11yescharacteristic
615C2×C4C7×H(5,𝔽2)11yescharacteristic
616C8—22no—
617C8—41no—
618C8—41no—
619C8—41no—
620C7#2707111yescharacteristic, direct product factor, Sylow
621C22—42no—
622C22—42no—
623C22—42no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22C7×#52511yescharacteristic
636C22C7×#54611yescharacteristic
637C22C7×#55011yescharacteristic
638C22C2×C7×#13511yescharacteristic
639C22C2×C7×AGL(1,ℤ/8)11yescharacteristic
640C22C7×#57711yescharacteristic
641C22C7×#57711yescharacteristic
642C4—22no—
643C4—22no—
644C4—42no—
645C4—41no—
646C4—41no—
647C4—42no—
648C4—41no—
649C4—41no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4C7×#52911yescharacteristic
655C4C7×#53811yescharacteristic
656C4C7×#55111yescharacteristic
657C4C7×#55311yescharacteristic
658C2—82no—
659C2—161no—
660C2C7×#246711yescharacteristic
661C2C7×#310611yescharacteristic
662C2C7×#312511yescharacteristic
663C2C7×#330111yescharacteristic
664C2C7×#330611yescharacteristic
665C2C7×#339411yescharacteristic
666C2C7×#339711yescharacteristic
subgroupG/H
center, socleC23×C7C22×D4
commutator, Frattini, cosocleC22×C4C24×C7
prime radicalC22×C7×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C7 ◁ C4×C7×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C7×#2512C2semidirect
2. C7×#2367C2semidirect
3. C7×#2094C2semidirect
5. C7×#2042C2semidirect
7. C7×#1968C2semidirect
8. C7×#1927C2semidirect
9. C7×#1926C2semidirect
10. C7×#1920C2semidirect
11. C7×#1916C2semidirect
12. C7×#1880C2semidirect
14. C7×#1803C2semidirect
15. C4×C7×#102C2semidirect
59. #27071C7direct (N × H)
128. #2512C2×C7semidirect
129. #2367C2×C7semidirect
130. #2094C2×C7semidirect
132. #2042C2×C7semidirect
134. #1968C2×C7semidirect
135. #1927C2×C7semidirect
136. #1926C2×C7semidirect
137. #1920C2×C7semidirect
138. #1916C2×C7semidirect
139. #1880C2×C7semidirect
141. #1803C2×C7semidirect
142. C4×#102C2×C7semidirect
620. C7#27071direct (N × H)

Maximal subgroups

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

subgroupindex
C7×#25122
C7×#23672
C7×#20942
C7×#20542
C7×#20422
C7×#20122
C7×#19682
C7×#19272
C7×#19262
C7×#19202
C7×#19162
C7×#18802
C7×#18792
C7×#18032
C4×C7×#1022
#270717