Finite Group Databasebeta

← C7×#15130 #13192346

Subgroups — C7×#15130 #13192346

Order 1792.

2590 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×#121C211yesmaximal, characteristic
2C2×C7×#394C214yesmaximal, complemented
3C2×C7×#390C211yesmaximal, characteristic, complemented
4C2×C7×#390C211yesmaximal, characteristic, complemented
5C2×C7×#384C211yesmaximal, characteristic, complemented
6C2×C7×#380C211yesmaximal, characteristic, complemented
7C2×C4×C7×C22⋊C4C211yesmaximal, characteristic, complemented
8C7×#1439C214yesmaximal, complemented
9C7×C4⋊#95C211yesmaximal, characteristic, complemented
10C23×C7×D4C2211yescharacteristic
11C23×C7×D4C2212yes—
12C24×C4×C7C2211yescharacteristic
13C2×C7×#121—24no—
14C2×C7×#121—24no—
15C2×C7×#121—24no—
16C22×C7×C4⋊C4C2211yescharacteristic
17C22×C7×C4⋊C4C2211yescharacteristic
18C22×C7×C4⋊C4C2214yes—
19C22×C7×C4⋊C4C2211yescharacteristic
20C22×C7×C22⋊C4C2212yes—
21C22×C7×C22⋊C4C2212yes—
22C22×C7×C22⋊C4C2214yes—
23C22×C7×C22⋊C4C2214yes—
24C22×C7×C22⋊C4C2212yes—
25C22×C42×C7C2211yescharacteristic
26C22×C42×C7C2211yescharacteristic
27C7×#394—216no—
28C7×#390—24no—
29C7×#390—24no—
30C7×#384—24no—
31C7×#380—24no—
32C4×C7×C22⋊C4—24no—
33C2×C7×#95C2212yes—
34C2×C7×#95C2212yes—
35C2×C7×#95C2214yes—
36#15130C711yesmaximal, characteristic, direct product factor, Sylow
37C25×C7C2312yes—
38C25×C7C2311yescharacteristic
39C22×C7×D4—24no—
40C22×C7×D4—24no—
41C22×C7×D4—28no—
42C22×C7×D4—24no—
43C22×C7×D4—22no—
44C22×C7×D4—22no—
45C22×C7×D4—22no—
46C22×C7×D4—22no—
47C22×C7×D4—22no—
48C22×C7×D4—22no—
49C22×C7×D4—44no—
50C22×C7×D4D414yes—
51C23×C4×C7—22no—
52C23×C4×C7—22no—
53C23×C4×C7—22no—
54C23×C4×C7—22no—
55C23×C4×C7—22no—
56C23×C4×C7—22no—
57C23×C4×C7D414yes—
58C23×C4×C7C2312yes—
59C23×C4×C7C2312yes—
60C23×C4×C7C2312yes—
61C23×C4×C7C2312yes—
62C23×C4×C7C2311yescharacteristic
63C23×C4×C7C2312yes—
64C23×C4×C7C2311yescharacteristic
65C7×#121—232no—
66C2×C7×C4⋊C4—22no—
67C2×C7×C4⋊C4—22no—
68C2×C7×C4⋊C4—22no—
69C2×C7×C4⋊C4—22no—
70C2×C7×C4⋊C4—28no—
71C2×C7×C4⋊C4—22no—
72C2×C7×C4⋊C4—22no—
73C2×C7×C4⋊C4—22no—
74C2×C7×C4⋊C4—28no—
75C2×C7×C4⋊C4—22no—
76C2×C7×C4⋊C4—44no—
77C2×C7×C4⋊C4D414yes—
78C2×C7×C22⋊C4—24no—
79C2×C7×C22⋊C4—24no—
80C2×C7×C22⋊C4—24no—
81C2×C7×C22⋊C4—24no—
82C2×C7×C22⋊C4—24no—
83C2×C7×C22⋊C4—24no—
84C2×C7×C22⋊C4—28no—
85C2×C7×C22⋊C4—28no—
86C2×C7×C22⋊C4—28no—
87C2×C7×C22⋊C4—28no—
88C2×C7×C22⋊C4—28no—
89C2×C7×C22⋊C4—28no—
90C2×C7×C22⋊C4—44no—
91C2×C7×C22⋊C4D418yescomplemented
92C2×C42×C7—22no—
93C2×C42×C7—22no—
94C2×C42×C7—22no—
95C2×C42×C7—22no—
96C2×C42×C7—22no—
97C2×C42×C7D414yescomplemented
98C7×#95—24no—
99C7×#95—24no—
100C7×#95—28no—
101C22×#121C2×C711yescharacteristic
102C2×#394C2×C714yescomplemented
103C2×#390C2×C711yescharacteristic, complemented
104C2×#390C2×C711yescharacteristic, complemented
105C2×#384C2×C711yescharacteristic, complemented
106C2×#380C2×C711yescharacteristic, complemented
107C2×C4×C22⋊C4C2×C711yescharacteristic, complemented
108#1439C2×C714yescomplemented
109C4⋊#95C2×C711yescharacteristic, complemented
110C24×C7—21no—
111C24×C7—21no—
112C24×C7—21no—
113C24×C7—22no—
114C24×C7—21no—
115C24×C7—21no—
116C24×C7—21no—
117C24×C7—22no—
118C24×C7—22no—
119C24×C7—22no—
120C24×C7—24no—
121C24×C7—22no—
122C24×C7—22no—
123C24×C7—24no—
124C24×C7—22no—
125C24×C7—22no—
126C24×C7—22no—
127C24×C7—24no—
128C24×C7—24no—
129C24×C7C2×D414yes—
130C24×C7C2×D414yes—
131C24×C7C2×D412yes—
132C24×C7C2411yescharacteristic
133C2×C7×D4—216no—
134C2×C7×D4—28no—
135C2×C7×D4—28no—
136C2×C7×D4—28no—
137C2×C7×D4—416no—
138C2×C7×D4—416no—
139C2×C7×D4—48no—
140C2×C7×D4—48no—
141C2×C7×D4—44no—
142C2×C7×D4—44no—
143C2×C7×D4—44no—
144C2×C7×D4—44no—
145C22×C4×C7—22no—
146C22×C4×C7—22no—
147C22×C4×C7—22no—
148C22×C4×C7—22no—
149C22×C4×C7—21no—
150C22×C4×C7—22no—
151C22×C4×C7—24no—
152C22×C4×C7—22no—
153C22×C4×C7—21no—
154C22×C4×C7—21no—
155C22×C4×C7—22no—
156C22×C4×C7—22no—
157C22×C4×C7—22no—
158C22×C4×C7—22no—
159C22×C4×C7—21no—
160C22×C4×C7—21no—
161C22×C4×C7—21no—
162C22×C4×C7—22no—
163C22×C4×C7—24no—
164C22×C4×C7—22no—
165C22×C4×C7—28no—
166C22×C4×C7—28no—
167C22×C4×C7—28no—
168C22×C4×C7—24no—
169C22×C4×C7—22no—
170C22×C4×C7—22no—
171C22×C4×C7—22no—
172C22×C4×C7—22no—
173C22×C4×C7—24no—
174C22×C4×C7—22no—
175C22×C4×C7—24no—
176C22×C4×C7—22no—
177C22×C4×C7—24no—
178C22×C4×C7—44no—
179C22×C4×C7—44no—
180C22×C4×C7—44no—
181C22×C4×C7—44no—
182C22×C4×C7C2×D414yes—
183C22×C4×C7C2×D412yes—
184C22×C4×C7C2×D414yes—
185C22×C4×C7C2×D414yes—
186C22×C4×C7C2×D414yes—
187C22×C4×C7C2×D412yes—
188C22×C4×C7C2×D412yes—
189C22×C4×C7C2×D412yes—
190C22×C4×C7C2×D412yes—
191C22×C4×C7#4114yes—
192C22×C4×C7#4112yes—
193C22×C4×C7#4112yes—
194C22×C4×C7#4112yes—
195C7×C4⋊C4—28no—
196C7×C4⋊C4—416no—
197C7×C4⋊C4—44no—
198C7×C4⋊C4—44no—
199C7×C22⋊C4—216no—
200C7×C22⋊C4—216no—
201C7×C22⋊C4—416no—
202C7×C22⋊C4—48no—
203C7×C22⋊C4—416no—
204C42×C7—28no—
205C42×C7—44no—
206C23×D4C22×C711yescharacteristic
207C23×D4C22×C712yes—
208C24×C4C22×C711yescharacteristic
209C2×#121—24no—
210C2×#121—24no—
211C2×#121—24no—
212C22×C4⋊C4C22×C711yescharacteristic
213C22×C4⋊C4C22×C711yescharacteristic
214C22×C4⋊C4C22×C714yes—
215C22×C4⋊C4C22×C711yescharacteristic
216C22×C22⋊C4C22×C712yes—
217C22×C22⋊C4C22×C714yes—
218C22×C22⋊C4C22×C712yes—
219C22×C22⋊C4C22×C714yes—
220C22×C22⋊C4C22×C712yes—
221C22×C42C22×C711yescharacteristic
222C22×C42C22×C711yescharacteristic
223#394—216no—
224#390—24no—
225#390—24no—
226#384—24no—
227#380—24no—
228C4×C22⋊C4—24no—
229C2×#95C22×C714yes—
230C2×#95C22×C712yes—
231C2×#95C22×C712yes—
232C23×C7—22no—
233C23×C7—24no—
234C23×C7—22no—
235C23×C7—22no—
236C23×C7—24no—
237C23×C7—22no—
238C23×C7—22no—
239C23×C7—22no—
240C23×C7—24no—
241C23×C7—24no—
242C23×C7—24no—
243C23×C7—24no—
244C23×C7—24no—
245C23×C7—24no—
246C23×C7—24no—
247C23×C7—28no—
248C23×C7—28no—
249C23×C7—41no—
250C23×C7—41no—
251C23×C7—41no—
252C23×C7—41no—
253C23×C7—42no—
254C23×C7—42no—
255C23×C7—42no—
256C23×C7—42no—
257C23×C7—42no—
258C23×C7—42no—
259C23×C7—44no—
260C23×C7—42no—
261C23×C7—42no—
262C23×C7—42no—
263C23×C7—42no—
264C23×C7—42no—
265C23×C7—44no—
266C23×C7—42no—
267C23×C7—42no—
268C23×C7—42no—
269C23×C7—44no—
270C23×C7—44no—
271C23×C7—44no—
272C23×C7—44no—
273C23×C7—44no—
274C23×C7—44no—
275C23×C7—44no—
276C23×C7—44no—
277C23×C7#12714yes—
278C23×C7C22×D411yescharacteristic
279C23×C7C22×D411yescharacteristic
280C23×C7C22×D411yescharacteristic
281C23×C7C22×D411yescharacteristic
282C23×C7C22×D412yes—
283C23×C7C2×#4111yescharacteristic
284C23×C7C2×#4111yescharacteristic
285C23×C7C2×#4111yescharacteristic
286C23×C7C2×#4112yes—
287C23×C7H(5,𝔽2)12yes—
288C23×C72−1+412yes—
289C7×D4—432no—
290C7×D4—416no—
291C2×C4×C7—24no—
292C2×C4×C7—24no—
293C2×C4×C7—24no—
294C2×C4×C7—24no—
295C2×C4×C7—24no—
296C2×C4×C7—24no—
297C2×C4×C7—22no—
298C2×C4×C7—24no—
299C2×C4×C7—24no—
300C2×C4×C7—22no—
301C2×C4×C7—22no—
302C2×C4×C7—24no—
303C2×C4×C7—28no—
304C2×C4×C7—24no—
305C2×C4×C7—42no—
306C2×C4×C7—41no—
307C2×C4×C7—41no—
308C2×C4×C7—41no—
309C2×C4×C7—41no—
310C2×C4×C7—42no—
311C2×C4×C7—42no—
312C2×C4×C7—42no—
313C2×C4×C7—44no—
314C2×C4×C7—42no—
315C2×C4×C7—42no—
316C2×C4×C7—416no—
317C2×C4×C7—42no—
318C2×C4×C7—44no—
319C2×C4×C7—42no—
320C2×C4×C7—42no—
321C2×C4×C7—42no—
322C2×C4×C7—44no—
323C2×C4×C7—42no—
324C2×C4×C7—42no—
325C2×C4×C7—44no—
326C2×C4×C7—44no—
327C2×C4×C7#12014yes—
328C2×C4×C7#12114yes—
329C2×C4×C7#12114yes—
330C2×C4×C7#12114yes—
331C2×C4×C7#12118yescomplemented
332C2×C4×C7#12314yes—
333C2×C4×C7#12314yes—
334C2×C4×C7#12414yes—
335C25C23×C712yes—
336C25C23×C711yescharacteristic
337C22×D4—24no—
338C22×D4—24no—
339C22×D4—28no—
340C22×D4—24no—
341C22×D4—22no—
342C22×D4—22no—
343C22×D4—22no—
344C22×D4—22no—
345C22×D4—22no—
346C22×D4—22no—
347C22×D4—44no—
348C22×D4C7×D414yes—
349C23×C4—22no—
350C23×C4—22no—
351C23×C4—22no—
352C23×C4—22no—
353C23×C4—22no—
354C23×C4—22no—
355C23×C4C7×D414yes—
356C23×C4C23×C712yes—
357C23×C4C23×C712yes—
358C23×C4C23×C712yes—
359C23×C4C23×C711yescharacteristic
360C23×C4C23×C712yes—
361C23×C4C23×C712yes—
362C23×C4C23×C711yescharacteristic
363#121—232no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—28no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4—28no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—44no—
375C2×C4⋊C4C7×D414yes—
376C2×C22⋊C4—24no—
377C2×C22⋊C4—24no—
378C2×C22⋊C4—24no—
379C2×C22⋊C4—24no—
380C2×C22⋊C4—24no—
381C2×C22⋊C4—24no—
382C2×C22⋊C4—28no—
383C2×C22⋊C4—28no—
384C2×C22⋊C4—28no—
385C2×C22⋊C4—28no—
386C2×C22⋊C4—28no—
387C2×C22⋊C4—28no—
388C2×C22⋊C4—44no—
389C2×C22⋊C4C7×D418yescomplemented
390C2×C42—22no—
391C2×C42—22no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42C7×D414yescomplemented
396#95—24no—
397#95—24no—
398#95—28no—
399C22×C7—24no—
400C22×C7—24no—
401C22×C7—24no—
402C22×C7—42no—
403C22×C7—42no—
404C22×C7—44no—
405C22×C7—44no—
406C22×C7—42no—
407C22×C7—44no—
408C22×C7—42no—
409C22×C7—44no—
410C22×C7—44no—
411C22×C7—48no—
412C22×C7—44no—
413C22×C7—44no—
414C22×C7—48no—
415C22×C7—82no—
416C22×C7—82no—
417C22×C7—84no—
418C22×C7—84no—
419C22×C7—82no—
420C22×C7—82no—
421C22×C7C2×#12011yescharacteristic
422C22×C7C2×#12111yescharacteristic
423C22×C7C2×#12112yes—
424C22×C7C2×#12111yescharacteristic
425C22×C7C2×#12111yescharacteristic
426C22×C7C2×#12311yescharacteristic
427C22×C7C2×#12311yescharacteristic
428C22×C7C2×#12411yescharacteristic
429C22×C7C2×#12711yescharacteristic
430C22×C7#53212yes—
431C22×C7#53211yescharacteristic
432C22×C7#53511yescharacteristic
433C22×C7#53611yescharacteristic
434C22×C7#53712yes—
435C22×C7#54212yes—
436C22×C7D4212yes—
437C22×C7D4212yes—
438C22×C7#54712yes—
439C22×C7#54712yes—
440C22×C7#54712yes—
441C22×C7#54812yes—
442C22×C7#55312yes—
443C22×C7#55512yes—
444C4×C7—28no—
445C4×C7—42no—
446C4×C7—44no—
447C4×C7—44no—
448C4×C7—82no—
449C4×C7—82no—
450C4×C7#39418yescomplemented
451C24—21no—
452C24—21no—
453C24—21no—
454C24—22no—
455C24—21no—
456C24—21no—
457C24—21no—
458C24—22no—
459C24—22no—
460C24—22no—
461C24—24no—
462C24—22no—
463C24—22no—
464C24—24no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—24no—
469C24—24no—
470C24C2×C7×D414yes—
471C24C2×C7×D414yes—
472C24C2×C7×D412yes—
473C24C24×C711yescharacteristic
474C2×D4—216no—
475C2×D4—28no—
476C2×D4—28no—
477C2×D4—28no—
478C2×D4—416no—
479C2×D4—416no—
480C2×D4—48no—
481C2×D4—48no—
482C2×D4—44no—
483C2×D4—44no—
484C2×D4—44no—
485C2×D4—44no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—28no—
507C22×C4—28no—
508C22×C4—28no—
509C22×C4—24no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—24no—
515C22×C4—22no—
516C22×C4—24no—
517C22×C4—22no—
518C22×C4—24no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4C2×C7×D414yes—
524C22×C4C2×C7×D412yes—
525C22×C4C2×C7×D414yes—
526C22×C4C2×C7×D414yes—
527C22×C4C2×C7×D414yes—
528C22×C4C2×C7×D412yes—
529C22×C4C2×C7×D412yes—
530C22×C4C2×C7×D412yes—
531C22×C4C2×C7×D412yes—
532C22×C4C7×#4114yes—
533C22×C4C7×#4112yes—
534C22×C4C7×#4112yes—
535C22×C4C7×#4112yes—
536C4⋊C4—28no—
537C4⋊C4—416no—
538C4⋊C4—44no—
539C4⋊C4—44no—
540C22⋊C4—216no—
541C22⋊C4—216no—
542C22⋊C4—416no—
543C22⋊C4—48no—
544C22⋊C4—416no—
545C42—28no—
546C42—44no—
547C2×C7—44no—
548C2×C7—84no—
549C2×C7C2×#39411yescharacteristic
550C2×C7#241612yes—
551C2×C7#242212yes—
552C2×C7#243211yescharacteristic
553C2×C7#243311yescharacteristic
554C2×C7#249112yes—
555C2×C7#250011yescharacteristic
556C2×C7#250111yescharacteristic
557C2×C7#253712yes—
558C2×C7#262011yescharacteristic
559C2×C7#285611yescharacteristic
560C23—22no—
561C23—24no—
562C23—22no—
563C23—22no—
564C23—24no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—28no—
576C23—28no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—44no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—44no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23C7×#12714yes—
606C23C22×C7×D411yescharacteristic
607C23C22×C7×D411yescharacteristic
608C23C22×C7×D411yescharacteristic
609C23C22×C7×D411yescharacteristic
610C23C22×C7×D412yes—
611C23C2×C7×#4111yescharacteristic
612C23C2×C7×#4111yescharacteristic
613C23C2×C7×#4111yescharacteristic
614C23C2×C7×#4112yes—
615C23C7×H(5,𝔽2)12yes—
616C23C7×2−1+412yes—
617D4—432no—
618D4—416no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—28no—
632C2×C4—24no—
633C2×C4—42no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—44no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—416no—
645C2×C4—42no—
646C2×C4—44no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—44no—
654C2×C4—44no—
655C2×C4C7×#12014yes—
656C2×C4C7×#12114yes—
657C2×C4C7×#12114yes—
658C2×C4C7×#12114yes—
659C2×C4C7×#12118yescomplemented
660C2×C4C7×#12314yes—
661C2×C4C7×#12314yes—
662C2×C4C7×#12414yes—
663C7#1513011yescharacteristic, direct product factor, Sylow
664C22—24no—
665C22—24no—
666C22—24no—
667C22—44no—
668C22—44no—
669C22—42no—
670C22—44no—
671C22—42no—
672C22—44no—
673C22—42no—
674C22—42no—
675C22—48no—
676C22—44no—
677C22—44no—
678C22—48no—
679C22—44no—
680C22—84no—
681C22—84no—
682C22—82no—
683C22—82no—
684C22—82no—
685C22—82no—
686C22C2×C7×#12011yescharacteristic
687C22C2×C7×#12111yescharacteristic
688C22C2×C7×#12112yes—
689C22C2×C7×#12111yescharacteristic
690C22C2×C7×#12111yescharacteristic
691C22C2×C7×#12311yescharacteristic
692C22C2×C7×#12311yescharacteristic
693C22C2×C7×#12411yescharacteristic
694C22C2×C7×#12711yescharacteristic
695C22C7×#53212yes—
696C22C7×#53211yescharacteristic
697C22C7×#53511yescharacteristic
698C22C7×#53611yescharacteristic
699C22C7×#53712yes—
700C22C7×#54212yes—
701C22C7×D4212yes—
702C22C7×D4212yes—
703C22C7×#54712yes—
704C22C7×#54712yes—
705C22C7×#54712yes—
706C22C7×#54812yes—
707C22C7×#55312yes—
708C22C7×#55512yes—
709C4—28no—
710C4—44no—
711C4—44no—
712C4—42no—
713C4—82no—
714C4—82no—
715C4C7×#39418yescomplemented
716C2—44no—
717C2—84no—
718C2C2×C7×#39411yescharacteristic
719C2C7×#241612yes—
720C2C7×#242212yes—
721C2C7×#243211yescharacteristic
722C2C7×#243311yescharacteristic
723C2C7×#249112yes—
724C2C7×#250011yescharacteristic
725C2C7×#250111yescharacteristic
726C2C7×#253712yes—
727C2C7×#262011yescharacteristic
728C2C7×#285611yescharacteristic
subgroupG/H
center, socleC24×C7C24
commutator, Frattini, cosocleC24C24×C7
prime radicalC22×C7×#121C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C7 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C7×#394C2semidirect
3. C2×C7×#390C2semidirect
4. C2×C7×#390C2semidirect
5. C2×C7×#384C2semidirect
6. C2×C7×#380C2semidirect
7. C2×C4×C7×C22⋊C4C2semidirect
8. C7×#1439C2semidirect
9. C7×C4⋊#95C2semidirect
36. #15130C7direct (N × H)
91. C2×C7×C22⋊C4D4semidirect
97. C2×C42×C7D4semidirect
102. C2×#394C2×C7semidirect
103. C2×#390C2×C7semidirect
104. C2×#390C2×C7semidirect
105. C2×#384C2×C7semidirect
106. C2×#380C2×C7semidirect
107. C2×C4×C22⋊C4C2×C7semidirect
108. #1439C2×C7semidirect
109. C4⋊#95C2×C7semidirect
331. C2×C4×C7#121semidirect
389. C2×C22⋊C4C7×D4semidirect
395. C2×C42C7×D4semidirect
450. C4×C7#394semidirect
659. C2×C4C7×#121semidirect
663. C7#15130direct (N × H)
715. C4C7×#394semidirect

Maximal subgroups

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

subgroupindex
C22×C7×#1212
C2×C7×#3942
C2×C7×#3902
C2×C7×#3842
C2×C7×#3802
C2×C4×C7×C22⋊C42
C7×#14392
C7×C4⋊#952
#151307