Finite Group Databasebeta

← C7×#26981 #13204197

Subgroups — C7×#26981 #13204197

Order 1792.

838 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
1C2×C7×#467C211yesmaximal, characteristic
2C2×C7×#441C211yesmaximal, characteristic, complemented
3C7×#2429C211yesmaximal, characteristic
4C7×#2421C211yesmaximal, characteristic
5C7×#2085C211yesmaximal, characteristic, complemented
6C7×#2035C211yesmaximal, characteristic
7C7×#2016C211yesmaximal, characteristic, complemented
8C7×#2001C211yesmaximal, characteristic
9C7×#1960C211yesmaximal, characteristic, complemented
10C7×#1935C211yesmaximal, characteristic, complemented
11C7×#1935C211yesmaximal, characteristic, complemented
12C7×#1892C211yesmaximal, characteristic
13C7×#1878C211yesmaximal, characteristic, complemented
14C7×#1863C211yesmaximal, characteristic, complemented
15C7×#1752C211yesmaximal, characteristic
16C22×C7×Q16C2211yescharacteristic
17C22×C7×Q16C2211yescharacteristic
18C23×C7×C8C2211yescharacteristic
19C2×C7×C4⋊Q8C2211yescharacteristic
20C2×C7×C22⋊Q8C2211yescharacteristic
21C2×C7×C22⋊Q8C2211yescharacteristic
22C2×C7×C22⋊Q8C2211yescharacteristic
23C2×C4×C7×Q8C2211yescharacteristic
24C2×C4×C7×Q8C2211yescharacteristic
25C7×#467—24no—
26C7×#441—24no—
27C2×C7×#107C2211yescharacteristic
28C2×C7×#106C2211yescharacteristic
29C2×C7×#103C2211yescharacteristic
30C2×C7×#103C2211yescharacteristic
31C2×C7×#103C2211yescharacteristic
32C2×C7×#103C2211yescharacteristic
33C2×C7×#103C2211yescharacteristic
34C2×C7×#103C2211yescharacteristic
35C2×C7×#103C2211yescharacteristic
36C2×C7×#103C2211yescharacteristic
37C2×C7×C22⋊C8C2211yescharacteristic
38C2×C7×#97C2211yescharacteristic
39C2×C7×#97C2211yescharacteristic
40C7×#400—21no—
41C7×#398—21no—
42C7×#397—21no—
43C7×#396—21no—
44C7×#391C2211yescharacteristic
45C7×#391C2211yescharacteristic
46C7×#389—21no—
47C7×#389C2211yescharacteristic
48C7×#389C2211yescharacteristic
49C7×#388—21no—
50C7×#388—21no—
51C7×#387—21no—
52C7×#382C2211yescharacteristic
53C7×#380C2211yescharacteristic
54C4×C7×C22⋊C4C2211yescharacteristic
55C7×#340C2211yescharacteristic
56C7×#340C2211yescharacteristic
57C7×#340C2211yescharacteristic
58C7×#340C2211yescharacteristic
59C7×#336C2211yescharacteristic
60C7×#336C2211yescharacteristic
61#26981C711yesmaximal, characteristic, direct product factor, Sylow
62C22×C7×Q8C2311yescharacteristic
63C22×C7×Q8C2311yescharacteristic
64C22×C7×Q8C2311yescharacteristic
65C23×C4×C7C2311yescharacteristic
66C2×C7×Q16—22no—
67C2×C7×Q16—22no—
68C2×C7×Q16—22no—
69C2×C7×Q16—22no—
70C2×C7×Q16—22no—
71C2×C7×Q16—41no—
72C22×C7×C8—22no—
73C22×C7×C8—22no—
74C22×C7×C8—41no—
75C22×C7×C8C2311yescharacteristic
76C22×C7×C8C2311yescharacteristic
77C22×C7×C8C2311yescharacteristic
78C22×C7×C8C2311yescharacteristic
79C7×C4⋊Q8—22no—
80C7×C4⋊Q8—41no—
81C7×C22⋊Q8—22no—
82C7×C22⋊Q8—22no—
83C7×C22⋊Q8—22no—
84C7×C22⋊Q8—41no—
85C7×C22⋊Q8—41no—
86C7×C22⋊Q8—41no—
87C4×C7×Q8—22no—
88C4×C7×Q8—22no—
89C4×C7×Q8—41no—
90C4×C7×Q8—41no—
91C2×C7×C4⋊C4—21no—
92C2×C7×C4⋊C4—21no—
93C2×C7×C4⋊C4—21no—
94C2×C7×C4⋊C4—21no—
95C2×C7×C4⋊C4—21no—
96C2×C7×C4⋊C4—21no—
97C2×C7×C4⋊C4—21no—
98C2×C7×C4⋊C4—21no—
99C2×C7×C4⋊C4—21no—
100C2×C7×C4⋊C4C2311yescharacteristic
101C2×C7×C4⋊C4C2311yescharacteristic
102C2×C7×C4⋊C4C2311yescharacteristic
103C2×C7×C4⋊C4C2311yescharacteristic
104C2×C7×C4⋊C4C2311yescharacteristic
105C2×C7×C22⋊C4—21no—
106C2×C7×C22⋊C4—21no—
107C2×C7×C22⋊C4—21no—
108C2×C7×C22⋊C4—21no—
109C2×C7×C22⋊C4D411yescharacteristic
110C2×C7×C22⋊C4D411yescharacteristic
111C2×C42×C7—21no—
112C2×C42×C7—21no—
113C2×C42×C7C2311yescharacteristic
114C2×C42×C7C2311yescharacteristic
115C7×#107—22no—
116C7×#106—22no—
117C7×#103—22no—
118C7×#103—22no—
119C7×#103—22no—
120C7×#103—22no—
121C7×#103—41no—
122C7×#103—41no—
123C7×#103—41no—
124C7×#103D414yes—
125C7×C22⋊C8—22no—
126C7×#97—22no—
127C7×#97—41no—
128C7×#95—21no—
129C7×#95—21no—
130C7×#95—21no—
131C7×#95—21no—
132C7×#95—21no—
133C7×#95—21no—
134C7×#95—21no—
135C7×#95—21no—
136C7×#95—21no—
137C7×#95D411yescharacteristic
138C7×#95D411yescharacteristic
139C2×#467C2×C711yescharacteristic
140C2×#441C2×C711yescharacteristic, complemented
141#2429C2×C711yescharacteristic
142#2421C2×C711yescharacteristic
143#2085C2×C711yescharacteristic, complemented
144#2035C2×C711yescharacteristic
145#2016C2×C711yescharacteristic, complemented
146#2001C2×C711yescharacteristic
147#1960C2×C711yescharacteristic, complemented
148#1935C2×C711yescharacteristic, complemented
149#1935C2×C711yescharacteristic, complemented
150#1892C2×C711yescharacteristic
151#1878C2×C711yescharacteristic, complemented
152#1863C2×C711yescharacteristic, complemented
153#1752C2×C711yescharacteristic
154C24×C7C2×D411yescharacteristic
155C2×C7×Q8—21no—
156C2×C7×Q8—21no—
157C2×C7×Q8—21no—
158C2×C7×Q8—21no—
159C2×C7×Q8—21no—
160C2×C7×Q8—21no—
161C2×C7×Q8—21no—
162C2×C7×Q8—21no—
163C2×C7×Q8—21no—
164C2×C7×Q8—21no—
165C2×C7×Q8—21no—
166C2×C7×Q8—21no—
167C2×C7×Q8—21no—
168C2×C7×Q8—21no—
169C2×C7×Q8—21no—
170C2×C7×Q8—21no—
171C2×C7×Q8C2×D412yes—
172C2×C7×Q8#4112yes—
173C22×C4×C7—21no—
174C22×C4×C7—21no—
175C22×C4×C7—21no—
176C22×C4×C7—21no—
177C22×C4×C7—21no—
178C22×C4×C7—21no—
179C22×C4×C7—21no—
180C22×C4×C7—21no—
181C22×C4×C7—21no—
182C22×C4×C7—21no—
183C22×C4×C7—21no—
184C22×C4×C7—21no—
185C22×C4×C7—21no—
186C22×C4×C7—21no—
187C22×C4×C7C2×D411yescharacteristic
188C22×C4×C7C2×D411yescharacteristic
189C22×C4×C7C2×D411yescharacteristic
190C22×C4×C7C2×D411yescharacteristic
191C22×C4×C7C2×D411yescharacteristic
192C22×C4×C7C2411yescharacteristic
193C7×Q16—28no—
194C7×Q16—44no—
195C2×C7×C8—21no—
196C2×C7×C8—21no—
197C2×C7×C8—21no—
198C2×C7×C8—21no—
199C2×C7×C8—21no—
200C2×C7×C8—21no—
201C2×C7×C8—21no—
202C2×C7×C8—21no—
203C2×C7×C8—21no—
204C2×C7×C8—44no—
205C2×C7×C8C2×D412yes—
206C2×C7×C8#4112yes—
207C2×C7×C8#4112yes—
208C7×C4⋊C4—21no—
209C7×C4⋊C4—21no—
210C7×C4⋊C4—21no—
211C7×C4⋊C4—21no—
212C7×C4⋊C4—21no—
213C7×C4⋊C4—21no—
214C7×C4⋊C4—21no—
215C7×C4⋊C4—21no—
216C7×C4⋊C4—21no—
217C7×C4⋊C4—42no—
218C7×C4⋊C4—42no—
219C7×C4⋊C4—42no—
220C7×C4⋊C4—42no—
221C7×C4⋊C4—42no—
222C7×C4⋊C4—42no—
223C7×C4⋊C4—42no—
224C7×C4⋊C4—42no—
225C7×C4⋊C4—42no—
226C7×C4⋊C4C2×D412yes—
227C7×C22⋊C4—22no—
228C7×C22⋊C4—41no—
229C7×C22⋊C4—42no—
230C7×C22⋊C4—42no—
231C7×C22⋊C4—42no—
232C7×C22⋊C4—42no—
233C42×C7—21no—
234C42×C7—21no—
235C42×C7—21no—
236C42×C7—21no—
237C42×C7—42no—
238C42×C7—42no—
239C22×Q16C22×C711yescharacteristic
240C22×Q16C22×C711yescharacteristic
241C23×C8C22×C711yescharacteristic
242C2×C4⋊Q8C22×C711yescharacteristic
243C2×C22⋊Q8C22×C711yescharacteristic
244C2×C22⋊Q8C22×C711yescharacteristic
245C2×C22⋊Q8C22×C711yescharacteristic
246C2×C4×Q8C22×C711yescharacteristic
247C2×C4×Q8C22×C711yescharacteristic
248#467—24no—
249#441—24no—
250C2×#107C22×C711yescharacteristic
251C2×#106C22×C711yescharacteristic
252C2×#103C22×C711yescharacteristic
253C2×#103C22×C711yescharacteristic
254C2×#103C22×C711yescharacteristic
255C2×#103C22×C711yescharacteristic
256C2×#103C22×C711yescharacteristic
257C2×#103C22×C711yescharacteristic
258C2×#103C22×C711yescharacteristic
259C2×#103C22×C711yescharacteristic
260C2×C22⋊C8C22×C711yescharacteristic
261C2×#97C22×C711yescharacteristic
262C2×#97C22×C711yescharacteristic
263#400—21no—
264#398—21no—
265#397—21no—
266#396—21no—
267#391C22×C711yescharacteristic
268#391C22×C711yescharacteristic
269#389—21no—
270#389C22×C711yescharacteristic
271#389C22×C711yescharacteristic
272#388—21no—
273#388—21no—
274#387—21no—
275#382C22×C711yescharacteristic
276#380C22×C711yescharacteristic
277C4×C22⋊C4C22×C711yescharacteristic
278#340C22×C711yescharacteristic
279#340C22×C711yescharacteristic
280#340C22×C711yescharacteristic
281#340C22×C711yescharacteristic
282#336C22×C711yescharacteristic
283#336C22×C711yescharacteristic
284C23×C7—21no—
285C23×C7—21no—
286C23×C7—21no—
287C23×C7—21no—
288C23×C7—21no—
289C23×C7—21no—
290C23×C7#13712yes—
291C23×C7C22×D411yescharacteristic
292C7×Q8—22no—
293C7×Q8—22no—
294C7×Q8—22no—
295C7×Q8—22no—
296C7×Q8—41no—
297C7×Q8—41no—
298C7×Q8—41no—
299C7×Q8—41no—
300C7×Q8—41no—
301C7×Q8—41no—
302C7×Q8—41no—
303C7×Q8—41no—
304C2×C4×C7—21no—
305C2×C4×C7—21no—
306C2×C4×C7—21no—
307C2×C4×C7—22no—
308C2×C4×C7—22no—
309C2×C4×C7—21no—
310C2×C4×C7—21no—
311C2×C4×C7—21no—
312C2×C4×C7—22no—
313C2×C4×C7—21no—
314C2×C4×C7—21no—
315C2×C4×C7—21no—
316C2×C4×C7—21no—
317C2×C4×C7—21no—
318C2×C4×C7—21no—
319C2×C4×C7—21no—
320C2×C4×C7—21no—
321C2×C4×C7—21no—
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—41no—
337C2×C4×C7—41no—
338C2×C4×C7—41no—
339C2×C4×C7—41no—
340C2×C4×C7—41no—
341C2×C4×C7—41no—
342C2×C4×C7—41no—
343C2×C4×C7—41no—
344C2×C4×C7—41no—
345C2×C4×C7—41no—
346C2×C4×C7—41no—
347C2×C4×C7C22×D411yescharacteristic
348C2×C4×C7C2×#4111yescharacteristic
349C2×C4×C7C2×#4111yescharacteristic
350C2×C4×C7C2×#4111yescharacteristic
351C2×C4×C7H(5,𝔽2)11yescharacteristic
352C2×C4×C7H(5,𝔽2)11yescharacteristic
353C7×C8—22no—
354C7×C8—22no—
355C7×C8—22no—
356C7×C8—41no—
357C22×Q8C23×C711yescharacteristic
358C22×Q8C23×C711yescharacteristic
359C22×Q8C23×C711yescharacteristic
360C23×C4C23×C711yescharacteristic
361C2×Q16—22no—
362C2×Q16—22no—
363C2×Q16—22no—
364C2×Q16—22no—
365C2×Q16—22no—
366C2×Q16—41no—
367C22×C8—22no—
368C22×C8—22no—
369C22×C8—41no—
370C22×C8C23×C711yescharacteristic
371C22×C8C23×C711yescharacteristic
372C22×C8C23×C711yescharacteristic
373C22×C8C23×C711yescharacteristic
374C4⋊Q8—22no—
375C4⋊Q8—41no—
376C22⋊Q8—22no—
377C22⋊Q8—22no—
378C22⋊Q8—22no—
379C22⋊Q8—41no—
380C22⋊Q8—41no—
381C22⋊Q8—41no—
382C4×Q8—22no—
383C4×Q8—22no—
384C4×Q8—41no—
385C4×Q8—41no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4—21no—
391C2×C4⋊C4—21no—
392C2×C4⋊C4—21no—
393C2×C4⋊C4—21no—
394C2×C4⋊C4—21no—
395C2×C4⋊C4C23×C711yescharacteristic
396C2×C4⋊C4C23×C711yescharacteristic
397C2×C4⋊C4C23×C711yescharacteristic
398C2×C4⋊C4C23×C711yescharacteristic
399C2×C4⋊C4C23×C711yescharacteristic
400C2×C22⋊C4—21no—
401C2×C22⋊C4—21no—
402C2×C22⋊C4—21no—
403C2×C22⋊C4—21no—
404C2×C22⋊C4C7×D411yescharacteristic
405C2×C22⋊C4C7×D411yescharacteristic
406C2×C42—21no—
407C2×C42—21no—
408C2×C42C23×C711yescharacteristic
409C2×C42C23×C711yescharacteristic
410#107—22no—
411#106—22no—
412#103—22no—
413#103—22no—
414#103—22no—
415#103—22no—
416#103—41no—
417#103—41no—
418#103—41no—
419#103C7×D414yes—
420C22⋊C8—22no—
421#97—22no—
422#97—41no—
423#95—21no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95—21no—
428#95—21no—
429#95—21no—
430#95—21no—
431#95—21no—
432#95C7×D411yescharacteristic
433#95C7×D411yescharacteristic
434C22×C7—22no—
435C22×C7—22no—
436C22×C7—22no—
437C22×C7—41no—
438C22×C7—41no—
439C22×C7—41no—
440C22×C7—41no—
441C22×C7#53211yescharacteristic
442C22×C7D4211yescharacteristic
443C22×C7#54611yescharacteristic
444C22×C7C2×#13711yescharacteristic
445C22×C7#57511yescharacteristic
446C22×C7#57811yescharacteristic
447C22×C7#57811yescharacteristic
448C4×C7—41no—
449C4×C7—42no—
450C4×C7—42no—
451C4×C7—41no—
452C4×C7—42no—
453C4×C7—41no—
454C4×C7—41no—
455C4×C7—41no—
456C4×C7—81no—
457C4×C7—81no—
458C4×C7—81no—
459C4×C7—81no—
460C4×C7—81no—
461C4×C7#52511yescharacteristic
462C4×C7#54011yescharacteristic
463C4×C7#54611yescharacteristic
464C4×C7#55311yescharacteristic
465C24C2×C7×D411yescharacteristic
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8C2×C7×D412yes—
483C2×Q8C7×#4112yes—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4C2×C7×D411yescharacteristic
499C22×C4C2×C7×D411yescharacteristic
500C22×C4C2×C7×D411yescharacteristic
501C22×C4C2×C7×D411yescharacteristic
502C22×C4C2×C7×D411yescharacteristic
503C22×C4C24×C711yescharacteristic
504Q16—28no—
505Q16—44no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—44no—
516C2×C8C2×C7×D412yes—
517C2×C8C7×#4112yes—
518C2×C8C7×#4112yes—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4C2×C7×D412yes—
538C22⋊C4—22no—
539C22⋊C4—41no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—42no—
549C42—42no—
550C2×C7—42no—
551C2×C7#246411yescharacteristic
552C2×C7#317711yescharacteristic
553C2×C7#318111yescharacteristic
554C2×C7#326911yescharacteristic
555C2×C7#327011yescharacteristic
556C2×C7#331211yescharacteristic
557C2×C7#331311yescharacteristic
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23C7×#13712yes—
565C23C22×C7×D411yescharacteristic
566Q8—22no—
567Q8—22no—
568Q8—22no—
569Q8—22no—
570Q8—41no—
571Q8—41no—
572Q8—41no—
573Q8—41no—
574Q8—41no—
575Q8—41no—
576Q8—41no—
577Q8—41no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
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—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4C22×C7×D411yescharacteristic
622C2×C4C2×C7×#4111yescharacteristic
623C2×C4C2×C7×#4111yescharacteristic
624C2×C4C2×C7×#4111yescharacteristic
625C2×C4C7×H(5,𝔽2)11yescharacteristic
626C2×C4C7×H(5,𝔽2)11yescharacteristic
627C8—22no—
628C8—22no—
629C8—22no—
630C8—41no—
631C7#2698111yescharacteristic, direct product factor, Sylow
632C22—22no—
633C22—22no—
634C22—22no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22C7×#53211yescharacteristic
640C22C7×D4211yescharacteristic
641C22C7×#54611yescharacteristic
642C22C2×C7×#13711yescharacteristic
643C22C7×#57511yescharacteristic
644C22C7×#57811yescharacteristic
645C22C7×#57811yescharacteristic
646C4—41no—
647C4—42no—
648C4—42no—
649C4—41no—
650C4—42no—
651C4—41no—
652C4—41no—
653C4—41no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4C7×#52511yescharacteristic
660C4C7×#54011yescharacteristic
661C4C7×#54611yescharacteristic
662C4C7×#55311yescharacteristic
663C2—42no—
664C2C7×#246411yescharacteristic
665C2C7×#317711yescharacteristic
666C2C7×#318111yescharacteristic
667C2C7×#326911yescharacteristic
668C2C7×#327011yescharacteristic
669C2C7×#331211yescharacteristic
670C2C7×#331311yescharacteristic
subgroupG/H
center, socleC23×C7C22×D4
commutator, Frattini, cosocleC22×C4C24×C7
prime radicalC24×C7C2×D4
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. C2×C7×#441C2semidirect
5. C7×#2085C2semidirect
7. C7×#2016C2semidirect
9. C7×#1960C2semidirect
10. C7×#1935C2semidirect
11. C7×#1935C2semidirect
13. C7×#1878C2semidirect
14. C7×#1863C2semidirect
61. #26981C7direct (N × H)
140. C2×#441C2×C7semidirect
143. #2085C2×C7semidirect
145. #2016C2×C7semidirect
147. #1960C2×C7semidirect
148. #1935C2×C7semidirect
149. #1935C2×C7semidirect
151. #1878C2×C7semidirect
152. #1863C2×C7semidirect
631. C7#26981direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#4672
C2×C7×#4412
C7×#24292
C7×#24212
C7×#20852
C7×#20352
C7×#20162
C7×#20012
C7×#19602
C7×#19352
C7×#18922
C7×#18782
C7×#18632
C7×#17522
#269817