Finite Group Databasebeta

← C7×#21452 #13198668

Subgroups — C7×#21452 #13198668

Order 1792.

1952 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C7×D4C211yesmaximal, characteristic, complemented
2C2×C7×#447C211yesmaximal, characteristic
3C2×C7×#442C212yesmaximal, complemented
4C4×C7×#121C211yesmaximal, characteristic, complemented
5C7×#1879C212yesmaximal, complemented
6C7×#1874C211yesmaximal, characteristic, complemented
7C7×#1864C212yesmaximal, complemented
8C7×#1853C211yesmaximal, characteristic, complemented
9C7×#1786C211yesmaximal, characteristic, complemented
10C7×#1762C212yesmaximal, complemented
11C7×#1749C211yesmaximal, characteristic, complemented
12C23×C7×D4C2211yescharacteristic
13C24×C4×C7—21no—
14C22×C7×D8C2212yes—
15C2×C7×#121C2211yescharacteristic
16C2×C4×C7×D4—28no—
17C2×C4×C7×D4—21no—
18C2×C4×C7×D4—21no—
19C2×C4×C7×D4—21no—
20C2×C4×C7×D4C2212yes—
21C2×C4×C7×D4C2212yes—
22C2×C4×C7×D4C2211yescharacteristic, complemented
23C22×C7×C4⋊C4C2211yescharacteristic
24C22×C7×C22⋊C4—21no—
25C22×C42×C7C2211yescharacteristic
26C7×#447C418yescomplemented
27C7×#442—28no—
28C2×C7×#106C2212yescomplemented
29C2×C7×#102C2212yes—
30C2×C7×#102C2212yes—
31C2×C7×#102C2212yes—
32C2×C7×#102C2212yescomplemented
33C2×C7×C22⋊C8C2211yescharacteristic
34C2×C7×C22⋊C8C2211yescharacteristic
35C2×C7×#97C2212yescomplemented
36C7×#390C2211yescharacteristic, complemented
37C7×#389C2211yescharacteristic, complemented
38C7×#388—21no—
39C7×#386—21no—
40C7×#380C2211yescharacteristic
41C4×C7×C4⋊C4C2211yescharacteristic, complemented
42C4×C7×C22⋊C4—21no—
43C7×#340C2212yescomplemented
44C7×#340C2212yescomplemented
45C7×#336C2212yescomplemented
46#21452C711yesmaximal, characteristic, direct product factor, Sylow
47C25×C7—21no—
48C22×C7×D4—24no—
49C22×C7×D4—24no—
50C22×C7×D4—21no—
51C22×C7×D4—21no—
52C22×C7×D4—22no—
53C22×C7×D4C2×C414yescomplemented
54C22×C7×D4C2311yescharacteristic
55C22×C7×D4C2312yes—
56C23×C4×C7—28no—
57C23×C4×C7—21no—
58C23×C4×C7—22no—
59C23×C4×C7—22no—
60C23×C4×C7—21no—
61C23×C4×C7—44no—
62C23×C4×C7—44no—
63C23×C4×C7D411yescharacteristic
64C23×C4×C7D411yescharacteristic
65C23×C4×C7C2311yescharacteristic
66C2×C7×D8—24no—
67C2×C7×D8—24no—
68C2×C7×D8C2×C418yescomplemented
69C22×C7×C8C2312yes—
70C22×C7×C8C2312yes—
71C7×#121—22no—
72C7×#121C2×C414yescomplemented
73C4×C7×D4—28no—
74C4×C7×D4—28no—
75C4×C7×D4—24no—
76C4×C7×D4—24no—
77C4×C7×D4—24no—
78C4×C7×D4—24no—
79C4×C7×D4—44no—
80C4×C7×D4D418yescomplemented
81C2×C7×C4⋊C4—21no—
82C2×C7×C4⋊C4—24no—
83C2×C7×C4⋊C4—21no—
84C2×C7×C4⋊C4C2311yescharacteristic
85C2×C7×C4⋊C4C2311yescharacteristic
86C2×C7×C4⋊C4C2311yescharacteristic
87C2×C7×C4⋊C4C2312yes—
88C2×C7×C22⋊C4—28no—
89C2×C7×C22⋊C4—22no—
90C2×C7×C22⋊C4—22no—
91C2×C7×C22⋊C4—21no—
92C2×C7×C22⋊C4—21no—
93C2×C7×C22⋊C4—21no—
94C2×C7×C22⋊C4—21no—
95C2×C7×C22⋊C4—21no—
96C2×C42×C7—24no—
97C2×C42×C7—21no—
98C2×C42×C7D411yescharacteristic
99C2×C42×C7D411yescharacteristic
100C2×C42×C7C2311yescharacteristic
101C2×C42×C7C2311yescharacteristic
102C7×#106—24no—
103C7×#102—24no—
104C7×#102—24no—
105C7×#102—24no—
106C7×#102C2×C418yescomplemented
107C7×C22⋊C8—22no—
108C7×C22⋊C8C2×C414yescomplemented
109C7×#97—24no—
110C7×#95—21no—
111C7×#95—21no—
112C7×#95—21no—
113C22×C4×D4C2×C711yescharacteristic, complemented
114C2×#447C2×C711yescharacteristic
115C2×#442C2×C712yescomplemented
116C4×#121C2×C711yescharacteristic, complemented
117#1879C2×C712yescomplemented
118#1874C2×C711yescharacteristic, complemented
119#1864C2×C712yescomplemented
120#1853C2×C711yescharacteristic, complemented
121#1786C2×C711yescharacteristic, complemented
122#1762C2×C712yescomplemented
123#1749C2×C711yescharacteristic, complemented
124C24×C7—24no—
125C24×C7—24no—
126C24×C7—24no—
127C24×C7—22no—
128C24×C7—21no—
129C24×C7—42no—
130C24×C7—42no—
131C24×C7—42no—
132C24×C7—42no—
133C24×C7C2×D411yescharacteristic
134C2×C7×D4—24no—
135C2×C7×D4—24no—
136C2×C7×D4—216no—
137C2×C7×D4—216no—
138C2×C7×D4—24no—
139C2×C7×D4—24no—
140C2×C7×D4—22no—
141C2×C7×D4—22no—
142C2×C7×D4—22no—
143C2×C7×D4—22no—
144C2×C7×D4—22no—
145C2×C7×D4—21no—
146C2×C7×D4—42no—
147C2×C7×D4—42no—
148C2×C7×D4C22×C414yes—
149C2×C7×D4C22×C412yescomplemented
150C2×C7×D4C2×D414yes—
151C2×C7×D4#4114yes—
152C22×C4×C7—22no—
153C22×C4×C7—22no—
154C22×C4×C7—22no—
155C22×C4×C7—22no—
156C22×C4×C7—22no—
157C22×C4×C7—24no—
158C22×C4×C7—28no—
159C22×C4×C7—22no—
160C22×C4×C7—21no—
161C22×C4×C7—22no—
162C22×C4×C7—22no—
163C22×C4×C7—28no—
164C22×C4×C7—21no—
165C22×C4×C7—21no—
166C22×C4×C7—41no—
167C22×C4×C7—432no—
168C22×C4×C7—44no—
169C22×C4×C7—44no—
170C22×C4×C7—44no—
171C22×C4×C7—42no—
172C22×C4×C7—42no—
173C22×C4×C7—42no—
174C22×C4×C7—42no—
175C22×C4×C7—44no—
176C22×C4×C7—42no—
177C22×C4×C7C22×C412yes—
178C22×C4×C7C2×D411yescharacteristic
179C22×C4×C7C2×D411yescharacteristic
180C22×C4×C7C2×D411yescharacteristic
181C22×C4×C7C2×D411yescharacteristic
182C22×C4×C7C2×D411yescharacteristic
183C22×C4×C7#4112yes—
184C22×C4×C7C2411yescharacteristic
185C7×D8—216no—
186C2×C7×C8—22no—
187C2×C7×C8—22no—
188C2×C7×C8—22no—
189C2×C7×C8—22no—
190C2×C7×C8—22no—
191C2×C7×C8C22×C414yescomplemented
192C7×C4⋊C4—24no—
193C7×C4⋊C4—22no—
194C7×C4⋊C4—21no—
195C7×C4⋊C4—22no—
196C7×C4⋊C4—22no—
197C7×C4⋊C4—42no—
198C7×C4⋊C4C22×C412yescomplemented
199C7×C4⋊C4C2×D414yes—
200C7×C22⋊C4—28no—
201C7×C22⋊C4—24no—
202C7×C22⋊C4—28no—
203C7×C22⋊C4—42no—
204C7×C22⋊C4—42no—
205C7×C22⋊C4—42no—
206C7×C22⋊C4—42no—
207C42×C7—22no—
208C42×C7—22no—
209C42×C7—22no—
210C42×C7—42no—
211C42×C7C2×D414yes—
212C23×D4C22×C711yescharacteristic
213C24×C4—21no—
214C22×D8C22×C712yes—
215C2×#121C22×C711yescharacteristic
216C2×C4×D4—28no—
217C2×C4×D4—21no—
218C2×C4×D4—21no—
219C2×C4×D4—21no—
220C2×C4×D4C22×C712yes—
221C2×C4×D4C22×C712yes—
222C2×C4×D4C22×C711yescharacteristic, complemented
223C22×C4⋊C4C22×C711yescharacteristic
224C22×C22⋊C4—21no—
225C22×C42C22×C711yescharacteristic
226#447C4×C718yescomplemented
227#442—28no—
228C2×#106C22×C712yescomplemented
229C2×#102C22×C712yes—
230C2×#102C22×C712yes—
231C2×#102C22×C712yes—
232C2×#102C22×C712yescomplemented
233C2×C22⋊C8C22×C711yescharacteristic
234C2×C22⋊C8C22×C711yescharacteristic
235C2×#97C22×C712yescomplemented
236#390C22×C711yescharacteristic, complemented
237#389C22×C711yescharacteristic, complemented
238#388—21no—
239#386—21no—
240#380C22×C711yescharacteristic
241C4×C4⋊C4C22×C711yescharacteristic, complemented
242C4×C22⋊C4—21no—
243#340C22×C712yescomplemented
244#340C22×C712yescomplemented
245#336C22×C712yescomplemented
246C23×C7—21no—
247C23×C7—21no—
248C23×C7—21no—
249C23×C7—21no—
250C23×C7—216no—
251C23×C7—24no—
252C23×C7—24no—
253C23×C7—24no—
254C23×C7—22no—
255C23×C7—48no—
256C23×C7—48no—
257C23×C7—48no—
258C23×C7—48no—
259C23×C7—48no—
260C23×C7—42no—
261C23×C7—42no—
262C23×C7—42no—
263C23×C7—42no—
264C23×C7—48no—
265C23×C7—41no—
266C23×C7—41no—
267C23×C7—41no—
268C23×C7—41no—
269C23×C7—41no—
270C23×C7—41no—
271C23×C7C4×D412yes—
272C23×C7AGL(1,ℤ/8)12yes—
273C23×C7AGL(1,ℤ/8)12yes—
274C23×C7C22×D411yescharacteristic
275C7×D4—216no—
276C7×D4—24no—
277C7×D4—24no—
278C7×D4—24no—
279C7×D4—24no—
280C7×D4—48no—
281C7×D4—42no—
282C7×D4C4×D418yescomplemented
283C2×C4×C7—28no—
284C2×C4×C7—21no—
285C2×C4×C7—21no—
286C2×C4×C7—21no—
287C2×C4×C7—21no—
288C2×C4×C7—21no—
289C2×C4×C7—21no—
290C2×C4×C7—21no—
291C2×C4×C7—21no—
292C2×C4×C7—24no—
293C2×C4×C7—24no—
294C2×C4×C7—22no—
295C2×C4×C7—21no—
296C2×C4×C7—24no—
297C2×C4×C7—21no—
298C2×C4×C7—21no—
299C2×C4×C7—44no—
300C2×C4×C7—416no—
301C2×C4×C7—416no—
302C2×C4×C7—48no—
303C2×C4×C7—41no—
304C2×C4×C7—42no—
305C2×C4×C7—42no—
306C2×C4×C7—41no—
307C2×C4×C7—41no—
308C2×C4×C7—41no—
309C2×C4×C7—41no—
310C2×C4×C7—41no—
311C2×C4×C7—41no—
312C2×C4×C7—41no—
313C2×C4×C7—84no—
314C2×C4×C7C4×D412yes—
315C2×C4×C7#12012yes—
316C2×C4×C7#12012yes—
317C2×C4×C7AGL(1,ℤ/8)12yes—
318C2×C4×C7C23×C411yescharacteristic
319C2×C4×C7C22×D412yes—
320C2×C4×C7C2×#4112yes—
321C2×C4×C7C2×#4111yescharacteristic
322C7×C8—24no—
323C7×C8—42no—
324C25—21no—
325C22×D4—24no—
326C22×D4—24no—
327C22×D4—21no—
328C22×D4—21no—
329C22×D4—22no—
330C22×D4C2×C4×C714yescomplemented
331C22×D4C23×C711yescharacteristic
332C22×D4C23×C712yes—
333C23×C4—28no—
334C23×C4—21no—
335C23×C4—22no—
336C23×C4—22no—
337C23×C4—21no—
338C23×C4—44no—
339C23×C4—44no—
340C23×C4C7×D411yescharacteristic
341C23×C4C7×D411yescharacteristic
342C23×C4C23×C711yescharacteristic
343C2×D8—24no—
344C2×D8—24no—
345C2×D8C2×C4×C718yescomplemented
346C22×C8C23×C712yes—
347C22×C8C23×C712yes—
348#121—22no—
349#121C2×C4×C714yescomplemented
350C4×D4—28no—
351C4×D4—28no—
352C4×D4—24no—
353C4×D4—24no—
354C4×D4—24no—
355C4×D4—24no—
356C4×D4—44no—
357C4×D4C7×D418yescomplemented
358C2×C4⋊C4—21no—
359C2×C4⋊C4—24no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4C23×C711yescharacteristic
362C2×C4⋊C4C23×C711yescharacteristic
363C2×C4⋊C4C23×C711yescharacteristic
364C2×C4⋊C4C23×C712yes—
365C2×C22⋊C4—28no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—21no—
372C2×C22⋊C4—21no—
373C2×C42—24no—
374C2×C42—21no—
375C2×C42C7×D411yescharacteristic
376C2×C42C7×D411yescharacteristic
377C2×C42C23×C711yescharacteristic
378C2×C42C23×C711yescharacteristic
379#106—24no—
380#102—24no—
381#102—24no—
382#102—24no—
383#102C2×C4×C718yescomplemented
384C22⋊C8—22no—
385C22⋊C8C2×C4×C714yescomplemented
386#97—24no—
387#95—21no—
388#95—21no—
389#95—21no—
390C22×C7—22no—
391C22×C7—22no—
392C22×C7—22no—
393C22×C7—22no—
394C22×C7—22no—
395C22×C7—22no—
396C22×C7—28no—
397C22×C7—432no—
398C22×C7—44no—
399C22×C7—44no—
400C22×C7—44no—
401C22×C7—44no—
402C22×C7—44no—
403C22×C7—44no—
404C22×C7—42no—
405C22×C7—42no—
406C22×C7—42no—
407C22×C7—81no—
408C22×C7—81no—
409C22×C7—81no—
410C22×C7—81no—
411C22×C7#44214yescomplemented
412C22×C7C2×C4×D411yescharacteristic
413C22×C7C2×#12011yescharacteristic
414C22×C7#52511yescharacteristic
415C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
416C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
417C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
418C22×C7#57511yescharacteristic
419C4×C7—22no—
420C4×C7—22no—
421C4×C7—22no—
422C4×C7—22no—
423C4×C7—42no—
424C4×C7—44no—
425C4×C7—41no—
426C4×C7—81no—
427C4×C7—81no—
428C4×C7C2×C4×D412yes—
429C4×C7#52512yes—
430C24—24no—
431C24—24no—
432C24—24no—
433C24—22no—
434C24—21no—
435C24—42no—
436C24—42no—
437C24—42no—
438C24—42no—
439C24C2×C7×D411yescharacteristic
440C2×D4—24no—
441C2×D4—24no—
442C2×D4—216no—
443C2×D4—216no—
444C2×D4—24no—
445C2×D4—24no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—21no—
452C2×D4—42no—
453C2×D4—42no—
454C2×D4C22×C4×C714yes—
455C2×D4C22×C4×C712yescomplemented
456C2×D4C2×C7×D414yes—
457C2×D4C7×#4114yes—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—28no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—28no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—41no—
473C22×C4—432no—
474C22×C4—44no—
475C22×C4—44no—
476C22×C4—44no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—44no—
482C22×C4—42no—
483C22×C4C22×C4×C712yes—
484C22×C4C2×C7×D411yescharacteristic
485C22×C4C2×C7×D411yescharacteristic
486C22×C4C2×C7×D411yescharacteristic
487C22×C4C2×C7×D411yescharacteristic
488C22×C4C2×C7×D411yescharacteristic
489C22×C4C7×#4112yes—
490C22×C4C24×C711yescharacteristic
491D8—216no—
492C2×C8—22no—
493C2×C8—22no—
494C2×C8—22no—
495C2×C8—22no—
496C2×C8—22no—
497C2×C8C22×C4×C714yescomplemented
498C4⋊C4—24no—
499C4⋊C4—22no—
500C4⋊C4—21no—
501C4⋊C4—22no—
502C4⋊C4—22no—
503C4⋊C4—42no—
504C4⋊C4C22×C4×C712yescomplemented
505C4⋊C4C2×C7×D414yes—
506C22⋊C4—28no—
507C22⋊C4—24no—
508C22⋊C4—28no—
509C22⋊C4—42no—
510C22⋊C4—42no—
511C22⋊C4—42no—
512C22⋊C4—42no—
513C42—22no—
514C42—22no—
515C42—22no—
516C42—42no—
517C42C2×C7×D414yes—
518C2×C7—24no—
519C2×C7—48no—
520C2×C7—82no—
521C2×C7C4×#12011yescharacteristic
522C2×C7C2×#44211yescharacteristic
523C2×C7C4×AGL(1,ℤ/8)11yescharacteristic
524C2×C7#300311yescharacteristic
525C2×C7#300611yescharacteristic
526C2×C7#310911yescharacteristic
527C2×C7#311411yescharacteristic
528C23—21no—
529C23—21no—
530C23—21no—
531C23—21no—
532C23—216no—
533C23—24no—
534C23—24no—
535C23—24no—
536C23—22no—
537C23—48no—
538C23—48no—
539C23—48no—
540C23—48no—
541C23—48no—
542C23—42no—
543C23—42no—
544C23—42no—
545C23—42no—
546C23—48no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23C4×C7×D412yes—
554C23C7×AGL(1,ℤ/8)12yes—
555C23C7×AGL(1,ℤ/8)12yes—
556C23C22×C7×D411yescharacteristic
557D4—216no—
558D4—24no—
559D4—24no—
560D4—24no—
561D4—24no—
562D4—48no—
563D4—42no—
564D4C4×C7×D418yescomplemented
565C2×C4—28no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—24no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—44no—
582C2×C4—416no—
583C2×C4—416no—
584C2×C4—48no—
585C2×C4—41no—
586C2×C4—42no—
587C2×C4—42no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—84no—
596C2×C4C4×C7×D412yes—
597C2×C4C7×#12012yes—
598C2×C4C7×#12012yes—
599C2×C4C7×AGL(1,ℤ/8)12yes—
600C2×C4C23×C4×C711yescharacteristic
601C2×C4C22×C7×D412yes—
602C2×C4C2×C7×#4112yes—
603C2×C4C2×C7×#4111yescharacteristic
604C8—24no—
605C8—42no—
606C7#2145211yescharacteristic, direct product factor, Sylow
607C22—22no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—28no—
614C22—432no—
615C22—44no—
616C22—44no—
617C22—44no—
618C22—44no—
619C22—44no—
620C22—44no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22C7×#44214yescomplemented
629C22C2×C4×C7×D411yescharacteristic
630C22C2×C7×#12011yescharacteristic
631C22C7×#52511yescharacteristic
632C22C2×C7×AGL(1,ℤ/8)11yescharacteristic
633C22C2×C7×AGL(1,ℤ/8)11yescharacteristic
634C22C2×C7×AGL(1,ℤ/8)11yescharacteristic
635C22C7×#57511yescharacteristic
636C4—22no—
637C4—22no—
638C4—22no—
639C4—22no—
640C4—42no—
641C4—44no—
642C4—41no—
643C4—81no—
644C4—81no—
645C4C2×C4×C7×D412yes—
646C4C7×#52512yes—
647C2—24no—
648C2—48no—
649C2—82no—
650C2C4×C7×#12011yescharacteristic
651C2C2×C7×#44211yescharacteristic
652C2C4×C7×AGL(1,ℤ/8)11yescharacteristic
653C2C7×#300311yescharacteristic
654C2C7×#300611yescharacteristic
655C2C7×#310911yescharacteristic
656C2C7×#311411yescharacteristic
subgroupG/H
center, socleC23×C7C22×D4
commutatorC2×C4C23×C4×C7
Frattini, cosocleC22×C4C24×C7
prime radicalC2×C7×#447C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C7 ◁ C22×C42×C7 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C4×C7×D4C2semidirect
3. C2×C7×#442C2semidirect
4. C4×C7×#121C2semidirect
5. C7×#1879C2semidirect
6. C7×#1874C2semidirect
7. C7×#1864C2semidirect
8. C7×#1853C2semidirect
9. C7×#1786C2semidirect
10. C7×#1762C2semidirect
11. C7×#1749C2semidirect
22. C2×C4×C7×D4C22semidirect
26. C7×#447C4semidirect
28. C2×C7×#106C22semidirect
32. C2×C7×#102C22semidirect
35. C2×C7×#97C22semidirect
36. C7×#390C22semidirect
37. C7×#389C22semidirect
41. C4×C7×C4⋊C4C22semidirect
43. C7×#340C22semidirect
44. C7×#340C22semidirect
45. C7×#336C22semidirect
46. #21452C7direct (N × H)
53. C22×C7×D4C2×C4semidirect
68. C2×C7×D8C2×C4semidirect
72. C7×#121C2×C4semidirect
80. C4×C7×D4D4semidirect
106. C7×#102C2×C4semidirect
108. C7×C22⋊C8C2×C4semidirect
113. C22×C4×D4C2×C7semidirect
115. C2×#442C2×C7semidirect
116. C4×#121C2×C7semidirect
117. #1879C2×C7semidirect
118. #1874C2×C7semidirect
119. #1864C2×C7semidirect
120. #1853C2×C7semidirect
121. #1786C2×C7semidirect
122. #1762C2×C7semidirect
123. #1749C2×C7semidirect
149. C2×C7×D4C22×C4semidirect
191. C2×C7×C8C22×C4semidirect
198. C7×C4⋊C4C22×C4semidirect
222. C2×C4×D4C22×C7semidirect
226. #447C4×C7semidirect
228. C2×#106C22×C7semidirect
232. C2×#102C22×C7semidirect
235. C2×#97C22×C7semidirect
236. #390C22×C7semidirect
237. #389C22×C7semidirect
241. C4×C4⋊C4C22×C7semidirect
243. #340C22×C7semidirect
244. #340C22×C7semidirect
245. #336C22×C7semidirect
282. C7×D4C4×D4semidirect
330. C22×D4C2×C4×C7semidirect
345. C2×D8C2×C4×C7semidirect
349. #121C2×C4×C7semidirect
357. C4×D4C7×D4semidirect
383. #102C2×C4×C7semidirect
385. C22⋊C8C2×C4×C7semidirect
411. C22×C7#442semidirect
455. C2×D4C22×C4×C7semidirect
497. C2×C8C22×C4×C7semidirect
504. C4⋊C4C22×C4×C7semidirect
564. D4C4×C7×D4semidirect
606. C7#21452direct (N × H)
628. C22C7×#442semidirect

Maximal subgroups

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

subgroupindex
C22×C4×C7×D42
C2×C7×#4472
C2×C7×#4422
C4×C7×#1212
C7×#18792
C7×#18742
C7×#18642
C7×#18532
C7×#17862
C7×#17622
C7×#17492
#214527