Finite Group Databasebeta

← C7×#22157 #13199373

Subgroups — C7×#22157 #13199373

Order 1792.

864 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#463C211yesmaximal, characteristic
2C7×#2326C211yesmaximal, characteristic, complemented
3C7×#2319C211yesmaximal, characteristic, complemented
4C7×#1983C211yesmaximal, characteristic, complemented
5C7×#1973C211yesmaximal, characteristic, complemented
6C7×#1970C211yesmaximal, characteristic
7C7×#1947C211yesmaximal, characteristic, complemented
8C7×#1936C211yesmaximal, characteristic, complemented
9C7×#1933C211yesmaximal, characteristic, complemented
10C7×#1880C211yesmaximal, characteristic, complemented
11C7×#1879C211yesmaximal, characteristic
12C7×#1863C211yesmaximal, characteristic, complemented
13C7×#1862C211yesmaximal, characteristic, complemented
14C7×#1802C211yesmaximal, characteristic, complemented
15C7×#1768C211yesmaximal, characteristic, complemented
16C22×C7×SD16C2211yescharacteristic
17C22×C7×D8C2211yescharacteristic
18C2×C7×#124C2211yescharacteristic
19C2×C4×C7×Q8C2211yescharacteristic
20C2×C4×C7×D4C2211yescharacteristic
21C2×C4×C7×D4C2211yescharacteristic
22C7×#463C418yescomplemented
23C2×C7×#107C2211yescharacteristic
24C2×C7×#107C2211yescharacteristic
25C2×C7×C4⋊C8C2211yescharacteristic
26C2×C7×C4⋊C8C2211yescharacteristic
27C2×C7×#103C2211yescharacteristic
28C2×C7×#103C2211yescharacteristic
29C2×C7×#103C2211yescharacteristic
30C2×C7×#102C2211yescharacteristic
31C2×C7×#102C2211yescharacteristic
32C2×C7×#102C2211yescharacteristic
33C2×C7×#102C2211yescharacteristic
34C2×C7×#102C2211yescharacteristic
35C2×C7×#97C2211yescharacteristic
36C2×C4×C7×C8C2211yescharacteristic
37C7×#391C2211yescharacteristic
38C7×#390C2211yescharacteristic
39C7×#390C2211yescharacteristic
40C7×#390C2211yescharacteristic
41C7×#389C2211yescharacteristic
42C7×#389C2211yescharacteristic
43C7×#388—21no—
44C7×#388—21no—
45C7×#388—21no—
46C7×#388—21no—
47C7×#385—21no—
48C7×#385—21no—
49C7×#384C2211yescharacteristic
50C7×#381—21no—
51C7×#380—21no—
52C4×C7×C4⋊C4C2211yescharacteristic
53C7×#376C2211yescharacteristic
54C7×#340C2211yescharacteristic
55C7×#340C2211yescharacteristic
56C7×#340C2211yescharacteristic
57C7×#340C2211yescharacteristic
58C7×#336C2211yescharacteristic
59C7×#336C2211yescharacteristic
60#22157C711yesmaximal, characteristic, direct product factor, Sylow
61C22×C7×Q8C2311yescharacteristic
62C22×C7×D4C2311yescharacteristic
63C22×C7×D4C2311yescharacteristic
64C23×C4×C7—21no—
65C23×C4×C7—21no—
66C2×C7×SD16—41no—
67C2×C7×SD16—41no—
68C2×C7×SD16C2×C414yescomplemented
69C2×C7×D8—41no—
70C2×C7×D8—41no—
71C2×C7×D8C2×C414yes—
72C22×C7×C8C2311yescharacteristic
73C22×C7×C8C2311yescharacteristic
74C22×C7×C8C2311yescharacteristic
75C22×C7×C8C2311yescharacteristic
76C7×#124—22no—
77C7×#124C2×C414yes—
78C4×C7×Q8—41no—
79C4×C7×Q8—41no—
80C4×C7×D4—22no—
81C4×C7×D4—41no—
82C4×C7×D4—41no—
83C4×C7×D4C2×C414yescomplemented
84C2×C7×C4⋊C4—21no—
85C2×C7×C4⋊C4—21no—
86C2×C7×C4⋊C4—21no—
87C2×C7×C4⋊C4—21no—
88C2×C7×C4⋊C4—21no—
89C2×C7×C4⋊C4C2311yescharacteristic
90C2×C7×C4⋊C4C2311yescharacteristic
91C2×C7×C4⋊C4C2311yescharacteristic
92C2×C7×C4⋊C4C2311yescharacteristic
93C2×C7×C4⋊C4C2311yescharacteristic
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×C7×C22⋊C4—21no—
104C2×C42×C7—21no—
105C2×C42×C7—21no—
106C2×C42×C7C2311yescharacteristic
107C2×C42×C7C2311yescharacteristic
108C2×C42×C7C2311yescharacteristic
109C7×#107—41no—
110C7×#107—41no—
111C7×C4⋊C8—22no—
112C7×C4⋊C8C2×C414yescomplemented
113C7×#103—41no—
114C7×#103—41no—
115C7×#103C2×C414yescomplemented
116C7×#102—41no—
117C7×#102—41no—
118C7×#102—41no—
119C7×#102—41no—
120C7×#102C2×C414yes—
121C7×#97—41no—
122C4×C7×C8—41no—
123C7×#95—21no—
124C7×#95—21no—
125C7×#95—21no—
126C7×#95—21no—
127C7×#95—21no—
128C7×#95D411yescharacteristic
129C7×#95D411yescharacteristic
130C7×#95D411yescharacteristic
131C7×#95D411yescharacteristic
132C2×#463C2×C711yescharacteristic
133#2326C2×C711yescharacteristic, complemented
134#2319C2×C711yescharacteristic, complemented
135#1983C2×C711yescharacteristic, complemented
136#1973C2×C711yescharacteristic, complemented
137#1970C2×C711yescharacteristic
138#1947C2×C711yescharacteristic, complemented
139#1936C2×C711yescharacteristic, complemented
140#1933C2×C711yescharacteristic, complemented
141#1880C2×C711yescharacteristic, complemented
142#1879C2×C711yescharacteristic
143#1863C2×C711yescharacteristic, complemented
144#1862C2×C711yescharacteristic, complemented
145#1802C2×C711yescharacteristic, complemented
146#1768C2×C711yescharacteristic, complemented
147C24×C7—21no—
148C24×C7—21no—
149C2×C7×Q8—21no—
150C2×C7×Q8—21no—
151C2×C7×Q8—21no—
152C2×C7×Q8—21no—
153C2×C7×Q8—21no—
154C2×C7×Q8C22×C412yes—
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—21no—
163C2×C7×D4—21no—
164C2×C7×D4—21no—
165C2×C7×D4C22×C412yes—
166C2×C7×D4C22×C412yes—
167C22×C4×C7—21no—
168C22×C4×C7—21no—
169C22×C4×C7—24no—
170C22×C4×C7—21no—
171C22×C4×C7—21no—
172C22×C4×C7—21no—
173C22×C4×C7—21no—
174C22×C4×C7—42no—
175C22×C4×C7—81no—
176C22×C4×C7—81no—
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×C7C2×D411yescharacteristic
185C22×C4×C7C2411yescharacteristic
186C7×SD16—44no—
187C7×D8—44no—
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—
198C2×C7×C8C22×C412yes—
199C2×C7×C8C22×C412yes—
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—21no—
208C7×C4⋊C4—21no—
209C7×C4⋊C4—42no—
210C7×C4⋊C4—81no—
211C7×C4⋊C4—81no—
212C7×C4⋊C4—81no—
213C7×C4⋊C4—81no—
214C7×C4⋊C4C22×C412yes—
215C7×C22⋊C4—24no—
216C7×C22⋊C4—24no—
217C7×C22⋊C4—24no—
218C7×C22⋊C4—42no—
219C7×C22⋊C4—81no—
220C7×C22⋊C4—81no—
221C7×C22⋊C4—81no—
222C7×C22⋊C4—81no—
223C7×C22⋊C4—81no—
224C7×C22⋊C4—81no—
225C42×C7—21no—
226C42×C7—21no—
227C42×C7—21no—
228C42×C7—21no—
229C42×C7—42no—
230C42×C7—81no—
231C42×C7C22×C412yes—
232C42×C7#4112yes—
233C22×SD16C22×C711yescharacteristic
234C22×D8C22×C711yescharacteristic
235C2×#124C22×C711yescharacteristic
236C2×C4×Q8C22×C711yescharacteristic
237C2×C4×D4C22×C711yescharacteristic
238C2×C4×D4C22×C711yescharacteristic
239#463C4×C718yescomplemented
240C2×#107C22×C711yescharacteristic
241C2×#107C22×C711yescharacteristic
242C2×C4⋊C8C22×C711yescharacteristic
243C2×C4⋊C8C22×C711yescharacteristic
244C2×#103C22×C711yescharacteristic
245C2×#103C22×C711yescharacteristic
246C2×#103C22×C711yescharacteristic
247C2×#102C22×C711yescharacteristic
248C2×#102C22×C711yescharacteristic
249C2×#102C22×C711yescharacteristic
250C2×#102C22×C711yescharacteristic
251C2×#102C22×C711yescharacteristic
252C2×#97C22×C711yescharacteristic
253C2×C4×C8C22×C711yescharacteristic
254#391C22×C711yescharacteristic
255#390C22×C711yescharacteristic
256#390C22×C711yescharacteristic
257#390C22×C711yescharacteristic
258#389C22×C711yescharacteristic
259#389C22×C711yescharacteristic
260#388—21no—
261#388—21no—
262#388—21no—
263#388—21no—
264#385—21no—
265#385—21no—
266#384C22×C711yescharacteristic
267#381—21no—
268#380—21no—
269C4×C4⋊C4C22×C711yescharacteristic
270#376C22×C711yescharacteristic
271#340C22×C711yescharacteristic
272#340C22×C711yescharacteristic
273#340C22×C711yescharacteristic
274#340C22×C711yescharacteristic
275#336C22×C711yescharacteristic
276#336C22×C711yescharacteristic
277C23×C7—22no—
278C23×C7—22no—
279C23×C7—41no—
280C23×C7—41no—
281C23×C7—41no—
282C23×C7—41no—
283C23×C7—41no—
284C23×C7—41no—
285C23×C7—41no—
286C23×C7—41no—
287C23×C7—41no—
288C23×C7—41no—
289C23×C7—41no—
290C23×C7—41no—
291C23×C7C22×D411yescharacteristic
292C7×Q8—22no—
293C7×Q8—22no—
294C7×Q8—41no—
295C7×Q8—41no—
296C7×D4—22no—
297C7×D4—22no—
298C7×D4—22no—
299C7×D4—22no—
300C7×D4—41no—
301C7×D4—41no—
302C7×D4—41no—
303C7×D4—41no—
304C2×C4×C7—21no—
305C2×C4×C7—21no—
306C2×C4×C7—21no—
307C2×C4×C7—21no—
308C2×C4×C7—22no—
309C2×C4×C7—22no—
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—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—84no—
339C2×C4×C7—84no—
340C2×C4×C7C4×D412yes—
341C2×C4×C7C4×D412yes—
342C2×C4×C7C23×C411yescharacteristic
343C2×C4×C7C2×#4111yescharacteristic
344C2×C4×C7H(5,𝔽2)11yescharacteristic
345C2×C4×C7H(5,𝔽2)11yescharacteristic
346C2×C4×C7H(5,𝔽2)11yescharacteristic
347C2×C4×C72−1+411yescharacteristic
348C7×C8—22no—
349C7×C8—22no—
350C7×C8—41no—
351C7×C8—41no—
352C22×Q8C23×C711yescharacteristic
353C22×D4C23×C711yescharacteristic
354C22×D4C23×C711yescharacteristic
355C23×C4—21no—
356C23×C4—21no—
357C2×SD16—41no—
358C2×SD16—41no—
359C2×SD16C2×C4×C714yescomplemented
360C2×D8—41no—
361C2×D8—41no—
362C2×D8C2×C4×C714yes—
363C22×C8C23×C711yescharacteristic
364C22×C8C23×C711yescharacteristic
365C22×C8C23×C711yescharacteristic
366C22×C8C23×C711yescharacteristic
367#124—22no—
368#124C2×C4×C714yes—
369C4×Q8—41no—
370C4×Q8—41no—
371C4×D4—22no—
372C4×D4—41no—
373C4×D4—41no—
374C4×D4C2×C4×C714yescomplemented
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4C23×C711yescharacteristic
381C2×C4⋊C4C23×C711yescharacteristic
382C2×C4⋊C4C23×C711yescharacteristic
383C2×C4⋊C4C23×C711yescharacteristic
384C2×C4⋊C4C23×C711yescharacteristic
385C2×C22⋊C4—21no—
386C2×C22⋊C4—21no—
387C2×C22⋊C4—21no—
388C2×C22⋊C4—21no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—21no—
391C2×C22⋊C4—21no—
392C2×C22⋊C4—21no—
393C2×C22⋊C4—21no—
394C2×C22⋊C4—21no—
395C2×C42—21no—
396C2×C42—21no—
397C2×C42C23×C711yescharacteristic
398C2×C42C23×C711yescharacteristic
399C2×C42C23×C711yescharacteristic
400#107—41no—
401#107—41no—
402C4⋊C8—22no—
403C4⋊C8C2×C4×C714yescomplemented
404#103—41no—
405#103—41no—
406#103C2×C4×C714yescomplemented
407#102—41no—
408#102—41no—
409#102—41no—
410#102—41no—
411#102C2×C4×C714yes—
412#97—41no—
413C4×C8—41no—
414#95—21no—
415#95—21no—
416#95—21no—
417#95—21no—
418#95—21no—
419#95C7×D411yescharacteristic
420#95C7×D411yescharacteristic
421#95C7×D411yescharacteristic
422#95C7×D411yescharacteristic
423C22×C7—42no—
424C22×C7—42no—
425C22×C7—42no—
426C22×C7—42no—
427C22×C7—42no—
428C22×C7—42no—
429C22×C7—81no—
430C22×C7—81no—
431C22×C7—81no—
432C22×C7—81no—
433C22×C7—81no—
434C22×C7—81no—
435C22×C7—81no—
436C22×C7—81no—
437C22×C7C2×C4×D411yescharacteristic
438C22×C7#53511yescharacteristic
439C22×C7#53711yescharacteristic
440C22×C7#57611yescharacteristic
441C22×C7#57611yescharacteristic
442C22×C7#57711yescharacteristic
443C22×C7#57811yescharacteristic
444C4×C7—22no—
445C4×C7—22no—
446C4×C7—42no—
447C4×C7—42no—
448C4×C7—41no—
449C4×C7—41no—
450C4×C7—41no—
451C4×C7—41no—
452C4×C7—81no—
453C4×C7—81no—
454C4×C7—81no—
455C4×C7—81no—
456C4×C7#51811yescharacteristic
457C4×C7#52011yescharacteristic
458C4×C7#54011yescharacteristic
459C4×C7#54211yescharacteristic
460C24—21no—
461C24—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8C22×C4×C712yes—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4C22×C4×C712yes—
479C2×D4C22×C4×C712yes—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—24no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—42no—
488C22×C4—81no—
489C22×C4—81no—
490C22×C4—81no—
491C22×C4—81no—
492C22×C4C2×C7×D411yescharacteristic
493C22×C4C2×C7×D411yescharacteristic
494C22×C4C2×C7×D411yescharacteristic
495C22×C4C2×C7×D411yescharacteristic
496C22×C4C2×C7×D411yescharacteristic
497C22×C4C2×C7×D411yescharacteristic
498C22×C4C24×C711yescharacteristic
499SD16—44no—
500D8—44no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8C22×C4×C712yes—
512C2×C8C22×C4×C712yes—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—42no—
523C4⋊C4—81no—
524C4⋊C4—81no—
525C4⋊C4—81no—
526C4⋊C4—81no—
527C4⋊C4C22×C4×C712yes—
528C22⋊C4—24no—
529C22⋊C4—24no—
530C22⋊C4—24no—
531C22⋊C4—42no—
532C22⋊C4—81no—
533C22⋊C4—81no—
534C22⋊C4—81no—
535C22⋊C4—81no—
536C22⋊C4—81no—
537C22⋊C4—81no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—42no—
543C42—81no—
544C42C22×C4×C712yes—
545C42C7×#4112yes—
546C2×C7—82no—
547C2×C7—82no—
548C2×C7#232411yescharacteristic
549C2×C7#294611yescharacteristic
550C2×C7#295111yescharacteristic
551C2×C7#322011yescharacteristic
552C2×C7#322511yescharacteristic
553C2×C7#325711yescharacteristic
554C2×C7#326211yescharacteristic
555C23—22no—
556C23—22no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23C22×C7×D411yescharacteristic
570Q8—22no—
571Q8—22no—
572Q8—41no—
573Q8—41no—
574D4—22no—
575D4—22no—
576D4—22no—
577D4—22no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—22no—
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—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
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—84no—
617C2×C4—84no—
618C2×C4C4×C7×D412yes—
619C2×C4C4×C7×D412yes—
620C2×C4C23×C4×C711yescharacteristic
621C2×C4C2×C7×#4111yescharacteristic
622C2×C4C7×H(5,𝔽2)11yescharacteristic
623C2×C4C7×H(5,𝔽2)11yescharacteristic
624C2×C4C7×H(5,𝔽2)11yescharacteristic
625C2×C4C7×2−1+411yescharacteristic
626C8—22no—
627C8—22no—
628C8—41no—
629C8—41no—
630C7#2215711yescharacteristic, direct product factor, Sylow
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22C2×C4×C7×D411yescharacteristic
646C22C7×#53511yescharacteristic
647C22C7×#53711yescharacteristic
648C22C7×#57611yescharacteristic
649C22C7×#57611yescharacteristic
650C22C7×#57711yescharacteristic
651C22C7×#57811yescharacteristic
652C4—22no—
653C4—22no—
654C4—42no—
655C4—41no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—42no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4C7×#51811yescharacteristic
665C4C7×#52011yescharacteristic
666C4C7×#54011yescharacteristic
667C4C7×#54211yescharacteristic
668C2—82no—
669C2—82no—
670C2C7×#232411yescharacteristic
671C2C7×#294611yescharacteristic
672C2C7×#295111yescharacteristic
673C2C7×#322011yescharacteristic
674C2C7×#322511yescharacteristic
675C2C7×#325711yescharacteristic
676C2C7×#326211yescharacteristic
subgroupG/H
center, socleC23×C7C22×D4
commutatorC2×C4C23×C4×C7
Frattini, cosocleC22×C4C24×C7
prime radicalC22×C7×D8C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C7 ◁ C7×#376 ◁ G

Complements

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

NH ≅ G/Ntype
2. C7×#2326C2semidirect
3. C7×#2319C2semidirect
4. C7×#1983C2semidirect
5. C7×#1973C2semidirect
7. C7×#1947C2semidirect
8. C7×#1936C2semidirect
9. C7×#1933C2semidirect
10. C7×#1880C2semidirect
12. C7×#1863C2semidirect
13. C7×#1862C2semidirect
14. C7×#1802C2semidirect
15. C7×#1768C2semidirect
22. C7×#463C4semidirect
60. #22157C7direct (N × H)
68. C2×C7×SD16C2×C4semidirect
83. C4×C7×D4C2×C4semidirect
112. C7×C4⋊C8C2×C4semidirect
115. C7×#103C2×C4semidirect
133. #2326C2×C7semidirect
134. #2319C2×C7semidirect
135. #1983C2×C7semidirect
136. #1973C2×C7semidirect
138. #1947C2×C7semidirect
139. #1936C2×C7semidirect
140. #1933C2×C7semidirect
141. #1880C2×C7semidirect
143. #1863C2×C7semidirect
144. #1862C2×C7semidirect
145. #1802C2×C7semidirect
146. #1768C2×C7semidirect
239. #463C4×C7semidirect
359. C2×SD16C2×C4×C7semidirect
374. C4×D4C2×C4×C7semidirect
403. C4⋊C8C2×C4×C7semidirect
406. #103C2×C4×C7semidirect
630. C7#22157direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#4632
C7×#23262
C7×#23192
C7×#19832
C7×#19732
C7×#19702
C7×#19472
C7×#19362
C7×#19332
C7×#18802
C7×#18792
C7×#18632
C7×#18622
C7×#18022
C7×#17682
#221577