Finite Group Databasebeta

← C7×#14567 #13191783

Subgroups — C7×#14567 #13191783

Order 1792.

2074 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
1C2×C7×#392C211yesmaximal, characteristic
2C2×C7×#390C212yesmaximal, complemented
3C2×C7×#388C212yesmaximal, complemented
4C7×#1440C211yesmaximal, characteristic, complemented
5C7×#1438C212yesmaximal, complemented
6C7×#1438C212yesmaximal, complemented
7C7×#1437C211yesmaximal, characteristic, complemented
8C7×#1437C212yesmaximal, complemented
9C7×#1436C212yesmaximal, complemented
10C23×C7×D4C2212yes—
11C23×C7×D4C2211yescharacteristic
12C22×C7×C4⋊C4C2212yes—
13C22×C7×C22⋊C4C2212yes—
14C22×C7×C22⋊C4C2211yescharacteristic
15C22×C7×C22⋊C4C2212yes—
16C22×C7×C22⋊C4C2212yes—
17C22×C7×C22⋊C4C2212yes—
18C22×C7×C22⋊C4C2212yes—
19C22×C7×C22⋊C4C2212yes—
20C22×C7×C22⋊C4C2211yescharacteristic
21C22×C7×C22⋊C4C2211yescharacteristic
22C22×C42×C7C2211yescharacteristic
23C22×C42×C7C2212yes—
24C7×#392C418yescomplemented
25C7×#390—28no—
26C7×#388—28no—
27C2×C7×#95C2212yes—
28C2×C7×#95C2212yes—
29C2×C7×#95C2212yes—
30C2×C7×#95C2212yes—
31C2×C7×#95C2212yes—
32C2×C7×#95C2211yescharacteristic
33C2×C7×#95C2211yescharacteristic
34#14567C711yesmaximal, characteristic, direct product factor, Sylow
35C25×C7C2312yes—
36C25×C7C2311yescharacteristic
37C22×C7×D4—24no—
38C22×C7×D4—24no—
39C22×C7×D4—42no—
40C22×C7×D4—42no—
41C22×C7×D4—42no—
42C22×C7×D4—42no—
43C22×C7×D4—42no—
44C22×C7×D4—42no—
45C22×C7×D4—41no—
46C22×C7×D4—41no—
47C22×C7×D4C2×C418yes—
48C22×C7×D4C2×C414yes—
49C23×C4×C7C2312yes—
50C23×C4×C7C2311yescharacteristic
51C23×C4×C7C2311yescharacteristic
52C23×C4×C7C2312yes—
53C23×C4×C7C2312yes—
54C23×C4×C7C2312yes—
55C23×C4×C7C2312yes—
56C2×C7×C4⋊C4—42no—
57C2×C7×C4⋊C4—42no—
58C2×C7×C4⋊C4D418yescomplemented
59C2×C7×C22⋊C4—24no—
60C2×C7×C22⋊C4—24no—
61C2×C7×C22⋊C4—24no—
62C2×C7×C22⋊C4—24no—
63C2×C7×C22⋊C4—24no—
64C2×C7×C22⋊C4—24no—
65C2×C7×C22⋊C4—24no—
66C2×C7×C22⋊C4—24no—
67C2×C7×C22⋊C4—24no—
68C2×C7×C22⋊C4—24no—
69C2×C7×C22⋊C4—24no—
70C2×C7×C22⋊C4—41no—
71C2×C7×C22⋊C4—41no—
72C2×C7×C22⋊C4—42no—
73C2×C7×C22⋊C4—42no—
74C2×C7×C22⋊C4—42no—
75C2×C7×C22⋊C4—41no—
76C2×C7×C22⋊C4—42no—
77C2×C7×C22⋊C4—42no—
78C2×C7×C22⋊C4—42no—
79C2×C7×C22⋊C4—42no—
80C2×C7×C22⋊C4—42no—
81C2×C7×C22⋊C4—41no—
82C2×C7×C22⋊C4C2×C418yes—
83C2×C7×C22⋊C4C2×C414yes—
84C2×C42×C7—24no—
85C2×C42×C7—24no—
86C2×C42×C7—41no—
87C2×C42×C7—42no—
88C2×C42×C7—42no—
89C7×#95—24no—
90C7×#95—24no—
91C7×#95—24no—
92C7×#95—42no—
93C7×#95—41no—
94C7×#95—42no—
95C7×#95C2×C414yes—
96C2×#392C2×C711yescharacteristic
97C2×#390C2×C712yescomplemented
98C2×#388C2×C712yescomplemented
99#1440C2×C711yescharacteristic, complemented
100#1438C2×C712yescomplemented
101#1438C2×C712yescomplemented
102#1437C2×C711yescharacteristic, complemented
103#1437C2×C712yescomplemented
104#1436C2×C712yescomplemented
105C24×C7—22no—
106C24×C7—22no—
107C24×C7—22no—
108C24×C7—22no—
109C24×C7—22no—
110C24×C7—22no—
111C24×C7—22no—
112C24×C7—22no—
113C24×C7—22no—
114C24×C7—21no—
115C24×C7—21no—
116C24×C7—22no—
117C24×C7—22no—
118C24×C7—22no—
119C24×C7—22no—
120C24×C7—22no—
121C24×C7—22no—
122C24×C7—22no—
123C24×C7—22no—
124C24×C7—22no—
125C24×C7—22no—
126C24×C7—22no—
127C24×C7C22×C414yes—
128C24×C7C22×C412yes—
129C24×C7C2411yescharacteristic
130C2×C7×D4—216no—
131C2×C7×D4—48no—
132C2×C7×D4—48no—
133C2×C7×D4—44no—
134C2×C7×D4—48no—
135C2×C7×D4—48no—
136C2×C7×D4—48no—
137C2×C7×D4—48no—
138C2×C7×D4—48no—
139C2×C7×D4—48no—
140C2×C7×D4—44no—
141C2×C7×D4—44no—
142C22×C4×C7—22no—
143C22×C4×C7—22no—
144C22×C4×C7—22no—
145C22×C4×C7—22no—
146C22×C4×C7—22no—
147C22×C4×C7—22no—
148C22×C4×C7—22no—
149C22×C4×C7—22no—
150C22×C4×C7—22no—
151C22×C4×C7—22no—
152C22×C4×C7—22no—
153C22×C4×C7—22no—
154C22×C4×C7—22no—
155C22×C4×C7—21no—
156C22×C4×C7—22no—
157C22×C4×C7—22no—
158C22×C4×C7—22no—
159C22×C4×C7—22no—
160C22×C4×C7—22no—
161C22×C4×C7—21no—
162C22×C4×C7—22no—
163C22×C4×C7—22no—
164C22×C4×C7—22no—
165C22×C4×C7—22no—
166C22×C4×C7—22no—
167C22×C4×C7—22no—
168C22×C4×C7—22no—
169C22×C4×C7—22no—
170C22×C4×C7—21no—
171C22×C4×C7—21no—
172C22×C4×C7—22no—
173C22×C4×C7—22no—
174C22×C4×C7—22no—
175C22×C4×C7—22no—
176C22×C4×C7—22no—
177C22×C4×C7—22no—
178C22×C4×C7—22no—
179C22×C4×C7C22×C412yes—
180C22×C4×C7C22×C412yes—
181C22×C4×C7C22×C414yes—
182C22×C4×C7C2×D414yes—
183C22×C4×C7C2×D414yes—
184C22×C4×C7C2×D414yes—
185C22×C4×C7#4114yes—
186C22×C4×C7#4114yes—
187C7×C4⋊C4—48no—
188C7×C22⋊C4—216no—
189C7×C22⋊C4—44no—
190C7×C22⋊C4—48no—
191C7×C22⋊C4—44no—
192C7×C22⋊C4—48no—
193C7×C22⋊C4—48no—
194C7×C22⋊C4—48no—
195C7×C22⋊C4—48no—
196C7×C22⋊C4—44no—
197C42×C7—44no—
198C42×C7—48no—
199C23×D4C22×C712yes—
200C23×D4C22×C711yescharacteristic
201C22×C4⋊C4C22×C712yes—
202C22×C22⋊C4C22×C712yes—
203C22×C22⋊C4C22×C712yes—
204C22×C22⋊C4C22×C712yes—
205C22×C22⋊C4C22×C711yescharacteristic
206C22×C22⋊C4C22×C712yes—
207C22×C22⋊C4C22×C712yes—
208C22×C22⋊C4C22×C712yes—
209C22×C22⋊C4C22×C711yescharacteristic
210C22×C22⋊C4C22×C711yescharacteristic
211C22×C42C22×C711yescharacteristic
212C22×C42C22×C712yes—
213#392C4×C718yescomplemented
214#390—28no—
215#388—28no—
216C2×#95C22×C712yes—
217C2×#95C22×C712yes—
218C2×#95C22×C712yes—
219C2×#95C22×C712yes—
220C2×#95C22×C712yes—
221C2×#95C22×C711yescharacteristic
222C2×#95C22×C711yescharacteristic
223C23×C7—24no—
224C23×C7—24no—
225C23×C7—24no—
226C23×C7—22no—
227C23×C7—24no—
228C23×C7—22no—
229C23×C7—22no—
230C23×C7—24no—
231C23×C7—24no—
232C23×C7—24no—
233C23×C7—24no—
234C23×C7—24no—
235C23×C7—42no—
236C23×C7—42no—
237C23×C7—42no—
238C23×C7—42no—
239C23×C7—42no—
240C23×C7—42no—
241C23×C7—42no—
242C23×C7—42no—
243C23×C7—42no—
244C23×C7—42no—
245C23×C7—42no—
246C23×C7—42no—
247C23×C7—42no—
248C23×C7—42no—
249C23×C7—42no—
250C23×C7—42no—
251C23×C7—42no—
252C23×C7—42no—
253C23×C7—42no—
254C23×C7—41no—
255C23×C7—42no—
256C23×C7—42no—
257C23×C7—42no—
258C23×C7—42no—
259C23×C7—42no—
260C23×C7—42no—
261C23×C7—42no—
262C23×C7—42no—
263C23×C7—42no—
264C23×C7—42no—
265C23×C7—42no—
266C23×C7—42no—
267C23×C7—42no—
268C23×C7—42no—
269C23×C7—42no—
270C23×C7—42no—
271C23×C7—41no—
272C23×C7—42no—
273C23×C7—42no—
274C23×C7—42no—
275C23×C7—42no—
276C23×C7—41no—
277C23×C7—41no—
278C23×C7—42no—
279C23×C7C23×C411yescharacteristic
280C23×C7C22×D412yes—
281C23×C7C2×#4112yes—
282C23×C7C2×#4112yes—
283C23×C7H(5,𝔽2)12yes—
284C23×C7H(5,𝔽2)12yes—
285C23×C7H(5,𝔽2)12yes—
286C23×C7H(5,𝔽2)11yescharacteristic
287C23×C7H(5,𝔽2)11yescharacteristic
288C7×D4—432no—
289C7×D4—416no—
290C2×C4×C7—24no—
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—22no—
299C2×C4×C7—24no—
300C2×C4×C7—24no—
301C2×C4×C7—24no—
302C2×C4×C7—24no—
303C2×C4×C7—24no—
304C2×C4×C7—24no—
305C2×C4×C7—24no—
306C2×C4×C7—24no—
307C2×C4×C7—24no—
308C2×C4×C7—24no—
309C2×C4×C7—42no—
310C2×C4×C7—42no—
311C2×C4×C7—42no—
312C2×C4×C7—42no—
313C2×C4×C7—42no—
314C2×C4×C7—42no—
315C2×C4×C7—41no—
316C2×C4×C7—42no—
317C2×C4×C7—42no—
318C2×C4×C7—42no—
319C2×C4×C7—42no—
320C2×C4×C7—41no—
321C2×C4×C7—42no—
322C2×C4×C7—42no—
323C2×C4×C7—42no—
324C2×C4×C7—42no—
325C2×C4×C7—41no—
326C2×C4×C7—41no—
327C2×C4×C7—42no—
328C2×C4×C7—42no—
329C2×C4×C7—42no—
330C2×C4×C7—42no—
331C2×C4×C7—42no—
332C2×C4×C7—42no—
333C2×C4×C7—42no—
334C2×C4×C7C4×D418yes—
335C25C23×C712yes—
336C25C23×C711yescharacteristic
337C22×D4—24no—
338C22×D4—24no—
339C22×D4—42no—
340C22×D4—42no—
341C22×D4—42no—
342C22×D4—42no—
343C22×D4—42no—
344C22×D4—42no—
345C22×D4—41no—
346C22×D4—41no—
347C22×D4C2×C4×C718yes—
348C22×D4C2×C4×C714yes—
349C23×C4C23×C712yes—
350C23×C4C23×C711yescharacteristic
351C23×C4C23×C711yescharacteristic
352C23×C4C23×C712yes—
353C23×C4C23×C712yes—
354C23×C4C23×C712yes—
355C23×C4C23×C712yes—
356C2×C4⋊C4—42no—
357C2×C4⋊C4—42no—
358C2×C4⋊C4C7×D418yescomplemented
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—24no—
370C2×C22⋊C4—41no—
371C2×C22⋊C4—41no—
372C2×C22⋊C4—42no—
373C2×C22⋊C4—42no—
374C2×C22⋊C4—42no—
375C2×C22⋊C4—41no—
376C2×C22⋊C4—42no—
377C2×C22⋊C4—42no—
378C2×C22⋊C4—42no—
379C2×C22⋊C4—42no—
380C2×C22⋊C4—42no—
381C2×C22⋊C4—41no—
382C2×C22⋊C4C2×C4×C718yes—
383C2×C22⋊C4C2×C4×C714yes—
384C2×C42—24no—
385C2×C42—24no—
386C2×C42—41no—
387C2×C42—42no—
388C2×C42—42no—
389#95—24no—
390#95—24no—
391#95—24no—
392#95—42no—
393#95—41no—
394#95—42no—
395#95C2×C4×C714yes—
396C22×C7—44no—
397C22×C7—44no—
398C22×C7—44no—
399C22×C7—42no—
400C22×C7—44no—
401C22×C7—44no—
402C22×C7—44no—
403C22×C7—44no—
404C22×C7—44no—
405C22×C7—42no—
406C22×C7—44no—
407C22×C7—42no—
408C22×C7—82no—
409C22×C7—82no—
410C22×C7—82no—
411C22×C7—82no—
412C22×C7—82no—
413C22×C7—82no—
414C22×C7—82no—
415C22×C7—82no—
416C22×C7—82no—
417C22×C7—82no—
418C22×C7—82no—
419C22×C7—82no—
420C22×C7C2×C4×D412yes—
421C22×C7C4×#4111yescharacteristic
422C22×C7#51811yescharacteristic
423C22×C7#51812yes—
424C22×C7#51811yescharacteristic
425C22×C7#53412yes—
426C22×C7#53512yes—
427C22×C7#53812yes—
428C22×C7#53812yes—
429C22×C7#53812yes—
430C22×C7#54012yes—
431C22×C7D4211yescharacteristic
432C22×C7#54612yes—
433C22×C7#55012yes—
434C22×C7#55012yes—
435C22×C7#55312yes—
436C22×C7#55512yes—
437C22×C7#55911yescharacteristic
438C22×C7#56012yes—
439C22×C7#56011yescharacteristic
440C22×C7H(3,𝔽4)11yescharacteristic
441C4×C7—28no—
442C4×C7—42no—
443C4×C7—42no—
444C4×C7—44no—
445C4×C7—44no—
446C4×C7—44no—
447C4×C7—82no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—21no—
458C24—21no—
459C24—22no—
460C24—22no—
461C24—22no—
462C24—22no—
463C24—22no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24C22×C4×C714yes—
471C24C22×C4×C712yes—
472C24C24×C711yescharacteristic
473C2×D4—216no—
474C2×D4—48no—
475C2×D4—48no—
476C2×D4—44no—
477C2×D4—48no—
478C2×D4—48no—
479C2×D4—48no—
480C2×D4—48no—
481C2×D4—48no—
482C2×D4—48no—
483C2×D4—44no—
484C2×D4—44no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4C22×C4×C712yes—
523C22×C4C22×C4×C712yes—
524C22×C4C22×C4×C714yes—
525C22×C4C2×C7×D414yes—
526C22×C4C2×C7×D414yes—
527C22×C4C2×C7×D414yes—
528C22×C4C7×#4114yes—
529C22×C4C7×#4114yes—
530C4⋊C4—48no—
531C22⋊C4—216no—
532C22⋊C4—44no—
533C22⋊C4—48no—
534C22⋊C4—44no—
535C22⋊C4—48no—
536C22⋊C4—48no—
537C22⋊C4—48no—
538C22⋊C4—48no—
539C22⋊C4—44no—
540C42—44no—
541C42—48no—
542C2×C7—82no—
543C2×C7—84no—
544C2×C7#232112yes—
545C2×C7#233311yescharacteristic
546C2×C7#236312yes—
547C2×C7#236611yescharacteristic
548C2×C7#237511yescharacteristic
549C2×C7#267312yes—
550C2×C7#271412yes—
551C2×C7#273312yes—
552C2×C7#280312yes—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—22no—
557C23—24no—
558C23—22no—
559C23—22no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—41no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—41no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—41no—
607C23—41no—
608C23—42no—
609C23C23×C4×C711yescharacteristic
610C23C22×C7×D412yes—
611C23C2×C7×#4112yes—
612C23C2×C7×#4112yes—
613C23C7×H(5,𝔽2)12yes—
614C23C7×H(5,𝔽2)12yes—
615C23C7×H(5,𝔽2)12yes—
616C23C7×H(5,𝔽2)11yescharacteristic
617C23C7×H(5,𝔽2)11yescharacteristic
618D4—432no—
619D4—416no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4C4×C7×D418yes—
665C7#1456711yescharacteristic, direct product factor, Sylow
666C22—44no—
667C22—44no—
668C22—44no—
669C22—42no—
670C22—44no—
671C22—44no—
672C22—44no—
673C22—44no—
674C22—44no—
675C22—42no—
676C22—44no—
677C22—42no—
678C22—82no—
679C22—82no—
680C22—82no—
681C22—82no—
682C22—82no—
683C22—82no—
684C22—82no—
685C22—82no—
686C22—82no—
687C22—82no—
688C22—82no—
689C22—82no—
690C22C2×C4×C7×D412yes—
691C22C4×C7×#4111yescharacteristic
692C22C7×#51811yescharacteristic
693C22C7×#51812yes—
694C22C7×#51811yescharacteristic
695C22C7×#53412yes—
696C22C7×#53512yes—
697C22C7×#53812yes—
698C22C7×#53812yes—
699C22C7×#53812yes—
700C22C7×#54012yes—
701C22C7×D4211yescharacteristic
702C22C7×#54612yes—
703C22C7×#55012yes—
704C22C7×#55012yes—
705C22C7×#55312yes—
706C22C7×#55512yes—
707C22C7×#55911yescharacteristic
708C22C7×#56012yes—
709C22C7×#56011yescharacteristic
710C22C7×H(3,𝔽4)11yescharacteristic
711C4—28no—
712C4—44no—
713C4—44no—
714C4—44no—
715C4—42no—
716C4—42no—
717C4—82no—
718C2—82no—
719C2—84no—
720C2C7×#232112yes—
721C2C7×#233311yescharacteristic
722C2C7×#236312yes—
723C2C7×#236611yescharacteristic
724C2C7×#237511yescharacteristic
725C2C7×#267312yes—
726C2C7×#271412yes—
727C2C7×#273312yes—
728C2C7×#280312yes—
subgroupG/H
center, socleC24×C7C24
commutatorC23C23×C4×C7
Frattini, cosocleC24C24×C7
prime radicalC2×C7×#392C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C7 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C7×#390C2semidirect
3. C2×C7×#388C2semidirect
4. C7×#1440C2semidirect
5. C7×#1438C2semidirect
6. C7×#1438C2semidirect
7. C7×#1437C2semidirect
8. C7×#1437C2semidirect
9. C7×#1436C2semidirect
24. C7×#392C4semidirect
34. #14567C7direct (N × H)
58. C2×C7×C4⋊C4D4semidirect
97. C2×#390C2×C7semidirect
98. C2×#388C2×C7semidirect
99. #1440C2×C7semidirect
100. #1438C2×C7semidirect
101. #1438C2×C7semidirect
102. #1437C2×C7semidirect
103. #1437C2×C7semidirect
104. #1436C2×C7semidirect
213. #392C4×C7semidirect
358. C2×C4⋊C4C7×D4semidirect
665. C7#14567direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#3922
C2×C7×#3902
C2×C7×#3882
C7×#14402
C7×#14382
C7×#14372
C7×#14362
#145677