Finite Group Databasebeta

← C2×C7×#1882 #13198156

Subgroups — C2×C7×#1882 #13198156

Order 1792.

1802 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×#137C211yesmaximal, characteristic
2C2×C7×#520C211yesmaximal, characteristic
3C22×C7×#104C211yesmaximal, characteristic
4C2×C7×#419C211yesmaximal, characteristic, complemented
5C2×C7×#391C211yesmaximal, characteristic, complemented
6C7×#1882C218yesmaximal, direct product factor
7C2×C7×#343C211yesmaximal, characteristic, complemented
8C2×C7×#339C211yesmaximal, characteristic, complemented
9C22×C7×#41C2211yescharacteristic
10C23×C7×Q8C2211yescharacteristic
11C2×C7×#137—24no—
12C2×C7×#137—22no—
13C2×C7×#137C418yescomplemented
14C2×C7×#137C2214yes—
15C22×C7×Q16—21no—
16C22×C7×SD16—21no—
17C22×C7×M16C2211yescharacteristic
18C22×C7×M16C2211yescharacteristic
19C7×#520—22no—
20C7×#520—22no—
21C7×#520—22no—
22C7×#520C2214yes—
23C2×C4×C7×Q8—21no—
24C2×C4×C7×D4—21no—
25C2×C4×C7×D4—22no—
26C2×C7×#117—21no—
27C2×C7×#117C2211yescharacteristic
28C22×C7×C4⋊C4—21no—
29C22×C7×C4⋊C4C2211yescharacteristic
30C22×C42×C7C2211yescharacteristic
31C2×C7×#104—24no—
32C2×C7×#104C2214yes—
33C7×#419—22no—
34C7×#419C2214yescomplemented
35C2×C7×#103—21no—
36C2×C7×#103—21no—
37C7×#391—22no—
38C7×#391C2214yescomplemented
39C2×C7×#95—22no—
40C7×#343C2214yescomplemented
41C7×#339C2214yescomplemented
42C2×#1882C711yesmaximal, characteristic, direct product factor, Sylow
43C2×C7×#41—21no—
44C2×C7×#41—21no—
45C2×C7×#41—22no—
46C2×C7×#41—22no—
47C2×C7×#41C2×C414yes—
48C2×C7×#41D414yes—
49C2×C7×#41D412yes—
50C2×C7×#41C2312yes—
51C22×C7×Q8—21no—
52C22×C7×Q8—22no—
53C22×C7×Q8—21no—
54C22×C7×Q8—21no—
55C22×C7×Q8—21no—
56C22×C7×Q8—21no—
57C22×C7×Q8—22no—
58C22×C7×Q8—22no—
59C22×C7×Q8C2×C414yescomplemented
60C22×C7×Q8D411yescharacteristic
61C22×C7×Q8C2312yes—
62C22×C7×D4—21no—
63C22×C7×D4D411yescharacteristic
64C23×C4×C7—21no—
65C23×C4×C7—21no—
66C23×C4×C7—21no—
67C23×C4×C7—22no—
68C23×C4×C7D412yes—
69C23×C4×C7C2311yescharacteristic
70C7×#137—216no—
71C7×#137—28no—
72C7×#137C2×C4116yescomplemented
73C2×C7×Q16—28no—
74C2×C7×Q16—24no—
75C2×C7×SD16—28no—
76C2×C7×SD16—24no—
77C2×C7×M16—22no—
78C2×C7×M16—21no—
79C2×C7×M16—21no—
80C2×C7×M16—22no—
81C2×C7×M16—22no—
82C2×C7×M16C2×C414yescomplemented
83C2×C7×M16C2312yes—
84C2×C7×M16C2312yes—
85C22×C7×C8—21no—
86C22×C7×C8—21no—
87C4×C7×Q8—24no—
88C4×C7×Q8—24no—
89C4×C7×D4—28no—
90C4×C7×D4—24no—
91C4×C7×D4—24no—
92C4×C7×D4—28no—
93C7×#117—24no—
94C7×#117—21no—
95C7×#117—21no—
96C7×#117—24no—
97C7×#117D412yes—
98C7×#117C2312yes—
99C2×C7×C4⋊C4—22no—
100C2×C7×C4⋊C4—24no—
101C2×C7×C4⋊C4—21no—
102C2×C7×C4⋊C4—21no—
103C2×C7×C4⋊C4—21no—
104C2×C7×C4⋊C4—21no—
105C2×C7×C4⋊C4—24no—
106C2×C7×C4⋊C4D412yes—
107C2×C7×C4⋊C4D411yescharacteristic
108C2×C7×C4⋊C4D411yescharacteristic
109C2×C7×C4⋊C4C2312yes—
110C2×C7×C22⋊C4—22no—
111C2×C7×C22⋊C4—21no—
112C2×C42×C7—22no—
113C2×C42×C7—21no—
114C2×C42×C7—22no—
115C2×C42×C7—22no—
116C2×C42×C7—21no—
117C2×C42×C7C2312yes—
118C7×#104—28no—
119C7×#103—24no—
120C7×#103—24no—
121C7×#95—28no—
122C22×#137C2×C711yescharacteristic
123C2×#520C2×C711yescharacteristic
124C22×#104C2×C711yescharacteristic
125C2×#419C2×C711yescharacteristic, complemented
126C2×#391C2×C711yescharacteristic, complemented
127#1882C2×C718yesdirect product factor
128C2×#343C2×C711yescharacteristic, complemented
129C2×#339C2×C711yescharacteristic, complemented
130C24×C7—21no—
131C24×C7C2×D411yescharacteristic
132C7×#41—24no—
133C7×#41—24no—
134C7×#41—24no—
135C7×#41—24no—
136C7×#41—24no—
137C7×#41—22no—
138C7×#41—22no—
139C7×#41C22⋊C418yes—
140C7×#41C22×C414yes—
141C7×#41C2×D414yes—
142C2×C7×Q8—24no—
143C2×C7×Q8—21no—
144C2×C7×Q8—22no—
145C2×C7×Q8—22no—
146C2×C7×Q8—24no—
147C2×C7×Q8—24no—
148C2×C7×Q8—24no—
149C2×C7×Q8—24no—
150C2×C7×Q8—22no—
151C2×C7×Q8—22no—
152C2×C7×Q8—22no—
153C2×C7×Q8—22no—
154C2×C7×Q8—41no—
155C2×C7×Q8—41no—
156C2×C7×Q8—42no—
157C2×C7×Q8—42no—
158C2×C7×Q8—42no—
159C2×C7×Q8—42no—
160C2×C7×Q8—42no—
161C2×C7×Q8C22⋊C414yes—
162C2×C7×Q8C22×C414yescomplemented
163C2×C7×Q8C2×D412yes—
164C2×C7×D4—24no—
165C2×C7×D4—22no—
166C2×C7×D4—24no—
167C2×C7×D4—22no—
168C2×C7×D4—21no—
169C2×C7×D4—22no—
170C2×C7×D4C22⋊C414yes—
171C2×C7×D4C2×D412yes—
172C22×C4×C7—21no—
173C22×C4×C7—24no—
174C22×C4×C7—22no—
175C22×C4×C7—24no—
176C22×C4×C7—22no—
177C22×C4×C7—24no—
178C22×C4×C7—24no—
179C22×C4×C7—21no—
180C22×C4×C7—22no—
181C22×C4×C7—21no—
182C22×C4×C7—22no—
183C22×C4×C7—22no—
184C22×C4×C7—28no—
185C22×C4×C7—22no—
186C22×C4×C7—42no—
187C22×C4×C7—41no—
188C22×C4×C7—41no—
189C22×C4×C7—42no—
190C22×C4×C7—42no—
191C22×C4×C7—44no—
192C22×C4×C7—84no—
193C22×C4×C7C22×C412yes—
194C22×C4×C7C2×D414yes—
195C22×C4×C7C2×D411yescharacteristic
196C22×C4×C7C2×D411yescharacteristic
197C22×C4×C7C2×D412yes—
198C22×C4×C7C2×D411yescharacteristic
199C22×C4×C7C2×D411yescharacteristic
200C22×C4×C7C2×D411yescharacteristic
201C22×C4×C7#4112yes—
202C22×C4×C7#4112yes—
203C22×C4×C7C2411yescharacteristic
204C7×Q16—216no—
205C7×SD16—216no—
206C7×M16—24no—
207C7×M16—22no—
208C7×M16—22no—
209C7×M16—22no—
210C7×M16—42no—
211C7×M16C22×C414yescomplemented
212C2×C7×C8—24no—
213C2×C7×C8—22no—
214C2×C7×C8—22no—
215C2×C7×C8—42no—
216C7×C4⋊C4—28no—
217C7×C4⋊C4—22no—
218C7×C4⋊C4—21no—
219C7×C4⋊C4—22no—
220C7×C4⋊C4—21no—
221C7×C4⋊C4—22no—
222C7×C4⋊C4—22no—
223C7×C4⋊C4C2×D412yes—
224C7×C4⋊C4C2×D412yes—
225C7×C22⋊C4—28no—
226C7×C22⋊C4—22no—
227C7×C22⋊C4—22no—
228C42×C7—28no—
229C42×C7—22no—
230C42×C7—22no—
231C42×C7—22no—
232C42×C7—22no—
233C42×C7—42no—
234C22×#41C22×C711yescharacteristic
235C23×Q8C22×C711yescharacteristic
236C2×#137—24no—
237C2×#137—22no—
238C2×#137C4×C718yescomplemented
239C2×#137C22×C714yes—
240C22×Q16—21no—
241C22×SD16—21no—
242C22×M16C22×C711yescharacteristic
243C22×M16C22×C711yescharacteristic
244#520—22no—
245#520—22no—
246#520—22no—
247#520C22×C714yes—
248C2×C4×Q8—21no—
249C2×C4×D4—21no—
250C2×C4×D4—22no—
251C2×#117—21no—
252C2×#117C22×C711yescharacteristic
253C22×C4⋊C4—21no—
254C22×C4⋊C4C22×C711yescharacteristic
255C22×C42C22×C711yescharacteristic
256C2×#104—24no—
257C2×#104C22×C714yes—
258#419—22no—
259#419C22×C714yescomplemented
260C2×#103—21no—
261C2×#103—21no—
262#391—22no—
263#391C22×C714yescomplemented
264C2×#95—22no—
265#343C22×C714yescomplemented
266#339C22×C714yescomplemented
267C23×C7—22no—
268C23×C7—22no—
269C23×C7—22no—
270C23×C7—24no—
271C23×C7—42no—
272C23×C7—42no—
273C23×C7C4×D412yes—
274C23×C7#12011yescharacteristic
275C23×C7#12011yescharacteristic
276C23×C7#12112yes—
277C23×C7C22×D411yescharacteristic
278C7×Q8—22no—
279C7×Q8—24no—
280C7×Q8—24no—
281C7×Q8—24no—
282C7×Q8—42no—
283C7×Q8—42no—
284C7×Q8—44no—
285C7×Q8—44no—
286C7×Q8C2×C22⋊C414yes—
287C7×D4—24no—
288C7×D4—24no—
289C7×D4—28no—
290C7×D4—22no—
291C7×D4—24no—
292C7×D4C2×C22⋊C414yes—
293C2×C4×C7—22no—
294C2×C4×C7—24no—
295C2×C4×C7—24no—
296C2×C4×C7—24no—
297C2×C4×C7—28no—
298C2×C4×C7—24no—
299C2×C4×C7—24no—
300C2×C4×C7—22no—
301C2×C4×C7—24no—
302C2×C4×C7—22no—
303C2×C4×C7—48no—
304C2×C4×C7—42no—
305C2×C4×C7—42no—
306C2×C4×C7—42no—
307C2×C4×C7—42no—
308C2×C4×C7—44no—
309C2×C4×C7—44no—
310C2×C4×C7—44no—
311C2×C4×C7—42no—
312C2×C4×C7—42no—
313C2×C4×C7—44no—
314C2×C4×C7—82no—
315C2×C4×C7—88no—
316C2×C4×C7C2×C22⋊C412yes—
317C2×C4×C7C2×C22⋊C412yes—
318C2×C4×C7C4×D412yes—
319C2×C4×C7C4×D412yes—
320C2×C4×C7C4×D412yes—
321C2×C4×C7#12011yescharacteristic
322C2×C4×C7#12011yescharacteristic
323C2×C4×C7#12112yes—
324C2×C4×C7#12112yes—
325C2×C4×C7#12112yes—
326C2×C4×C7#12312yes—
327C2×C4×C7#12312yes—
328C2×C4×C7C23×C411yescharacteristic
329C2×C4×C7C22×D411yescharacteristic
330C2×C4×C7C22×D411yescharacteristic
331C2×C4×C7C22×D411yescharacteristic
332C2×C4×C7C2×#4111yescharacteristic
333C2×C4×C7C2×#4111yescharacteristic
334C7×C8—24no—
335C7×C8—42no—
336C2×#41—21no—
337C2×#41—21no—
338C2×#41—22no—
339C2×#41—22no—
340C2×#41C2×C4×C714yes—
341C2×#41C7×D414yes—
342C2×#41C7×D412yes—
343C2×#41C23×C712yes—
344C22×Q8—21no—
345C22×Q8—22no—
346C22×Q8—21no—
347C22×Q8—21no—
348C22×Q8—22no—
349C22×Q8—21no—
350C22×Q8—21no—
351C22×Q8—22no—
352C22×Q8C2×C4×C714yescomplemented
353C22×Q8C7×D411yescharacteristic
354C22×Q8C23×C712yes—
355C22×D4—21no—
356C22×D4C7×D411yescharacteristic
357C23×C4—21no—
358C23×C4—21no—
359C23×C4—21no—
360C23×C4—22no—
361C23×C4C7×D412yes—
362C23×C4C23×C711yescharacteristic
363#137—216no—
364#137—28no—
365#137C2×C4×C7116yescomplemented
366C2×Q16—28no—
367C2×Q16—24no—
368C2×SD16—28no—
369C2×SD16—24no—
370C2×M16—22no—
371C2×M16—21no—
372C2×M16—21no—
373C2×M16—22no—
374C2×M16—22no—
375C2×M16C2×C4×C714yescomplemented
376C2×M16C23×C712yes—
377C2×M16C23×C712yes—
378C22×C8—21no—
379C22×C8—21no—
380C4×Q8—24no—
381C4×Q8—24no—
382C4×D4—28no—
383C4×D4—24no—
384C4×D4—24no—
385C4×D4—28no—
386#117—24no—
387#117—21no—
388#117—21no—
389#117—24no—
390#117C7×D412yes—
391#117C23×C712yes—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—24no—
394C2×C4⋊C4—21no—
395C2×C4⋊C4—21no—
396C2×C4⋊C4—21no—
397C2×C4⋊C4—21no—
398C2×C4⋊C4—24no—
399C2×C4⋊C4C7×D412yes—
400C2×C4⋊C4C7×D411yescharacteristic
401C2×C4⋊C4C7×D411yescharacteristic
402C2×C4⋊C4C23×C712yes—
403C2×C22⋊C4—22no—
404C2×C22⋊C4—21no—
405C2×C42—22no—
406C2×C42—21no—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—21no—
410C2×C42C23×C712yes—
411#104—28no—
412#103—24no—
413#103—24no—
414#95—28no—
415C22×C7—24no—
416C22×C7—24no—
417C22×C7—21no—
418C22×C7—21no—
419C22×C7—21no—
420C22×C7—21no—
421C22×C7—24no—
422C22×C7—48no—
423C22×C7—42no—
424C22×C7—42no—
425C22×C7#38612yes—
426C22×C7#38612yes—
427C22×C7#45512yes—
428C22×C7#45612yes—
429C22×C7C2×C4×D411yescharacteristic
430C22×C7C2×#12011yescharacteristic
431C22×C7C2×#12111yescharacteristic
432C4×C7—24no—
433C4×C7—44no—
434C4×C7—44no—
435C4×C7—42no—
436C4×C7—42no—
437C4×C7—44no—
438C4×C7#38612yes—
439C4×C7#38612yes—
440C4×C7C22×C22⋊C411yescharacteristic
441C4×C7C2×C4×D411yescharacteristic
442C4×C7C2×#12111yescharacteristic
443C4×C7C2×#12311yescharacteristic
444C24—21no—
445C24C2×C7×D411yescharacteristic
446#41—24no—
447#41—24no—
448#41—24no—
449#41—24no—
450#41—24no—
451#41—22no—
452#41—22no—
453#41C7×C22⋊C418yes—
454#41C22×C4×C714yes—
455#41C2×C7×D414yes—
456C2×Q8—24no—
457C2×Q8—21no—
458C2×Q8—22no—
459C2×Q8—22no—
460C2×Q8—24no—
461C2×Q8—24no—
462C2×Q8—24no—
463C2×Q8—24no—
464C2×Q8—22no—
465C2×Q8—22no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—41no—
469C2×Q8—41no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×Q8—42no—
474C2×Q8—42no—
475C2×Q8C7×C22⋊C414yes—
476C2×Q8C22×C4×C714yescomplemented
477C2×Q8C2×C7×D412yes—
478C2×D4—24no—
479C2×D4—22no—
480C2×D4—24no—
481C2×D4—22no—
482C2×D4—21no—
483C2×D4—22no—
484C2×D4C7×C22⋊C414yes—
485C2×D4C2×C7×D412yes—
486C22×C4—21no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—28no—
499C22×C4—22no—
500C22×C4—42no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—44no—
506C22×C4—84no—
507C22×C4C22×C4×C712yes—
508C22×C4C2×C7×D414yes—
509C22×C4C2×C7×D411yescharacteristic
510C22×C4C2×C7×D411yescharacteristic
511C22×C4C2×C7×D412yes—
512C22×C4C2×C7×D411yescharacteristic
513C22×C4C2×C7×D411yescharacteristic
514C22×C4C2×C7×D411yescharacteristic
515C22×C4C7×#4112yes—
516C22×C4C7×#4112yes—
517C22×C4C24×C711yescharacteristic
518Q16—216no—
519SD16—216no—
520M16—24no—
521M16—22no—
522M16—22no—
523M16—22no—
524M16—42no—
525M16C22×C4×C714yescomplemented
526C2×C8—24no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—42no—
530C4⋊C4—28no—
531C4⋊C4—22no—
532C4⋊C4—21no—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4C2×C7×D412yes—
538C4⋊C4C2×C7×D412yes—
539C22⋊C4—28no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C42—28no—
543C42—22no—
544C42—22no—
545C42—22no—
546C42—22no—
547C42—42no—
548C2×C7—21no—
549C2×C7—21no—
550C2×C7—22no—
551C2×C7—44no—
552C2×C7#188214yesdirect product factor
553C2×C7C2×#38611yescharacteristic
554C2×C7C2×#45511yescharacteristic
555C2×C7C2×#45611yescharacteristic
556C23—22no—
557C23—22no—
558C23—22no—
559C23—24no—
560C23—42no—
561C23—42no—
562C23C4×C7×D412yes—
563C23C7×#12011yescharacteristic
564C23C7×#12011yescharacteristic
565C23C7×#12112yes—
566C23C22×C7×D411yescharacteristic
567Q8—24no—
568Q8—22no—
569Q8—24no—
570Q8—24no—
571Q8—42no—
572Q8—44no—
573Q8—44no—
574Q8—42no—
575Q8C2×C7×C22⋊C414yes—
576D4—24no—
577D4—24no—
578D4—28no—
579D4—24no—
580D4—22no—
581D4C2×C7×C22⋊C414yes—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—28no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—22no—
590C2×C4—24no—
591C2×C4—22no—
592C2×C4—42no—
593C2×C4—48no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—44no—
598C2×C4—44no—
599C2×C4—44no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—44no—
603C2×C4—82no—
604C2×C4—88no—
605C2×C4C2×C7×C22⋊C412yes—
606C2×C4C2×C7×C22⋊C412yes—
607C2×C4C4×C7×D412yes—
608C2×C4C4×C7×D412yes—
609C2×C4C4×C7×D412yes—
610C2×C4C7×#12011yescharacteristic
611C2×C4C7×#12011yescharacteristic
612C2×C4C7×#12112yes—
613C2×C4C7×#12112yes—
614C2×C4C7×#12112yes—
615C2×C4C7×#12312yes—
616C2×C4C7×#12312yes—
617C2×C4C23×C4×C711yescharacteristic
618C2×C4C22×C7×D411yescharacteristic
619C2×C4C22×C7×D411yescharacteristic
620C2×C4C22×C7×D411yescharacteristic
621C2×C4C2×C7×#4111yescharacteristic
622C2×C4C2×C7×#4111yescharacteristic
623C8—24no—
624C8—42no—
625C7C2×#188211yescharacteristic, direct product factor, Sylow
626C22—21no—
627C22—21no—
628C22—21no—
629C22—21no—
630C22—24no—
631C22—24no—
632C22—24no—
633C22—42no—
634C22—42no—
635C22—48no—
636C22C7×#38612yes—
637C22C7×#38612yes—
638C22C7×#45512yes—
639C22C7×#45612yes—
640C22C2×C4×C7×D411yescharacteristic
641C22C2×C7×#12011yescharacteristic
642C22C2×C7×#12111yescharacteristic
643C4—24no—
644C4—44no—
645C4—44no—
646C4—42no—
647C4—42no—
648C4—44no—
649C4C7×#38612yes—
650C4C7×#38612yes—
651C4C22×C7×C22⋊C411yescharacteristic
652C4C2×C4×C7×D411yescharacteristic
653C4C2×C7×#12111yescharacteristic
654C4C2×C7×#12311yescharacteristic
655C2—21no—
656C2—21no—
657C2—22no—
658C2—44no—
659C2C7×#188214yesdirect product factor
660C2C2×C7×#38611yescharacteristic
661C2C2×C7×#45511yescharacteristic
662C2C2×C7×#45611yescharacteristic
subgroupG/H
center, socleC23×C7#120
commutatorC2×C4C23×C4×C7
Frattini, cosocleC22×C4C24×C7
prime radicalC22×C7×#41C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C7 ◁ C23×C4×C7 ◁ G

Complements

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

NH ≅ G/Ntype
4. C2×C7×#419C2semidirect
5. C2×C7×#391C2semidirect
6. C7×#1882C2direct (N × H)
7. C2×C7×#343C2semidirect
8. C2×C7×#339C2semidirect
13. C2×C7×#137C4semidirect
34. C7×#419C22semidirect
38. C7×#391C22semidirect
40. C7×#343C22semidirect
41. C7×#339C22semidirect
42. C2×#1882C7direct (N × H)
59. C22×C7×Q8C2×C4semidirect
72. C7×#137C2×C4semidirect
82. C2×C7×M16C2×C4semidirect
125. C2×#419C2×C7semidirect
126. C2×#391C2×C7semidirect
127. #1882C2×C7direct (N × H)
128. C2×#343C2×C7semidirect
129. C2×#339C2×C7semidirect
162. C2×C7×Q8C22×C4semidirect
211. C7×M16C22×C4semidirect
238. C2×#137C4×C7semidirect
259. #419C22×C7semidirect
263. #391C22×C7semidirect
265. #343C22×C7semidirect
266. #339C22×C7semidirect
352. C22×Q8C2×C4×C7semidirect
365. #137C2×C4×C7semidirect
375. C2×M16C2×C4×C7semidirect
476. C2×Q8C22×C4×C7semidirect
525. M16C22×C4×C7semidirect
552. C2×C7#1882direct (N × H)
625. C7C2×#1882direct (N × H)
659. C2C7×#1882direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C7×#1372
C2×C7×#5202
C22×C7×#1042
C2×C7×#4192
C2×C7×#3912
C7×#18822
C2×C7×#3432
C2×C7×#3392
C2×#18827