Finite Group Databasebeta

← C7×#24009 #13201225

Subgroups — C7×#24009 #13201225

Order 1792.

1772 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×#121C211yesmaximal, characteristic
2C2×C7×#482C212yesmaximal, complemented
3C7×#2280C211yesmaximal, characteristic, complemented
4C7×#2034C212yesmaximal, complemented
5C7×#2033C212yesmaximal, complemented
6C7×#1875C212yesmaximal, complemented
7C7×#1853C211yesmaximal, characteristic, complemented
8C7×#1852C211yesmaximal, characteristic, complemented
9C7×#1786C211yesmaximal, characteristic, complemented
10C7×#1786C211yesmaximal, characteristic, complemented
11C7×#1779C211yesmaximal, characteristic, complemented
12C23×C7×D4—21no—
13C23×C7×D4C2211yescharacteristic
14C24×C4×C7C2211yescharacteristic
15C2×C7×#121—21no—
16C2×C7×#121—21no—
17C2×C7×#121—28no—
18C2×C7×#121C2212yes—
19C2×C7×#121C2212yes—
20C2×C7×#117C2211yescharacteristic, complemented
21C2×C7×#117C2211yescharacteristic, complemented
22C22×C7×C4⋊C4C2211yescharacteristic
23C22×C7×C22⋊C4—21no—
24C7×#482—28no—
25C2×C7×#107C2212yescomplemented
26C2×C7×#106C2212yescomplemented
27C2×C7×#102C2212yescomplemented
28C2×C7×#102C2212yescomplemented
29C2×C7×#102C2212yescomplemented
30C2×C7×#102C2212yescomplemented
31C2×C7×C22⋊C8C2211yescharacteristic
32C2×C7×C22⋊C8C2211yescharacteristic
33C2×C7×C22⋊C8C2212yescomplemented
34C2×C7×C22⋊C8C2212yescomplemented
35C7×#381—21no—
36C7×#380C2211yescharacteristic
37C7×#380C2211yescharacteristic
38C7×#380C2211yescharacteristic, complemented
39C7×#380C2211yescharacteristic, complemented
40C7×#379—21no—
41C4×C7×C22⋊C4—21no—
42C4×C7×C22⋊C4—21no—
43C7×#340C2212yescomplemented
44C7×#340C2212yescomplemented
45#24009C711yesmaximal, characteristic, direct product factor, Sylow
46C25×C7—21no—
47C25×C7D411yescharacteristic
48C22×C7×D4—28no—
49C22×C7×D4—22no—
50C22×C7×D4—22no—
51C22×C7×D4—24no—
52C22×C7×D4—21no—
53C22×C7×D4—22no—
54C22×C7×D4—22no—
55C22×C7×D4—42no—
56C22×C7×D4—44no—
57C22×C7×D4—44no—
58C22×C7×D4C2312yes—
59C23×C4×C7—21no—
60C23×C4×C7—24no—
61C23×C4×C7—22no—
62C23×C4×C7—22no—
63C23×C4×C7—42no—
64C23×C4×C7D411yescharacteristic
65C23×C4×C7D411yescharacteristic
66C23×C4×C7D411yescharacteristic
67C23×C4×C7C2311yescharacteristic
68C23×C4×C7C2311yescharacteristic
69C23×C4×C7C2311yescharacteristic
70C22×C7×C8C2312yes—
71C22×C7×C8C2312yes—
72C7×#121—28no—
73C7×#121—28no—
74C7×#121—24no—
75C7×#121—24no—
76C7×#121—24no—
77C7×#121D418yes—
78C7×#117—24no—
79C7×#117—42no—
80C2×C7×C4⋊C4—21no—
81C2×C7×C4⋊C4—24no—
82C2×C7×C4⋊C4C2311yescharacteristic
83C2×C7×C4⋊C4C2311yescharacteristic
84C2×C7×C4⋊C4C2311yescharacteristic
85C2×C7×C4⋊C4C2311yescharacteristic
86C2×C7×C4⋊C4C2312yes—
87C2×C7×C22⋊C4—28no—
88C2×C7×C22⋊C4—22no—
89C2×C7×C22⋊C4—22no—
90C2×C7×C22⋊C4—21no—
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—21no—
97C2×C42×C7—21no—
98C7×#107—24no—
99C7×#106—24no—
100C7×#102—24no—
101C7×#102—24no—
102C7×#102—42no—
103C7×#102—42no—
104C7×C22⋊C8—24no—
105C7×C22⋊C8—22no—
106C7×C22⋊C8—22no—
107C7×C22⋊C8—42no—
108C7×#95—21no—
109C7×#95—21no—
110C7×#95—21no—
111C7×#95—21no—
112C22×#121C2×C711yescharacteristic
113C2×#482C2×C712yescomplemented
114#2280C2×C711yescharacteristic, complemented
115#2034C2×C712yescomplemented
116#2033C2×C712yescomplemented
117#1875C2×C712yescomplemented
118#1853C2×C711yescharacteristic, complemented
119#1852C2×C711yescharacteristic, complemented
120#1786C2×C711yescharacteristic, complemented
121#1786C2×C711yescharacteristic, complemented
122#1779C2×C711yescharacteristic, complemented
123C24×C7—22no—
124C24×C7—22no—
125C24×C7—22no—
126C24×C7—24no—
127C24×C7—22no—
128C24×C7—22no—
129C24×C7—22no—
130C24×C7—41no—
131C24×C7—41no—
132C24×C7—42no—
133C24×C7—42no—
134C24×C7—42no—
135C24×C7—42no—
136C24×C7—42no—
137C24×C7—42no—
138C24×C7C2×D411yescharacteristic
139C24×C7C2×D411yescharacteristic
140C24×C7C2×D411yescharacteristic
141C2×C7×D4—24no—
142C2×C7×D4—28no—
143C2×C7×D4—28no—
144C2×C7×D4—22no—
145C2×C7×D4—22no—
146C2×C7×D4—22no—
147C2×C7×D4—22no—
148C2×C7×D4—22no—
149C2×C7×D4—48no—
150C2×C7×D4—48no—
151C2×C7×D4—42no—
152C2×C7×D4—432no—
153C2×C7×D4—44no—
154C2×C7×D4—44no—
155C2×C7×D4—44no—
156C2×C7×D4—44no—
157C2×C7×D4—42no—
158C2×C7×D4C2×D414yes—
159C22×C4×C7—22no—
160C22×C4×C7—21no—
161C22×C4×C7—21no—
162C22×C4×C7—22no—
163C22×C4×C7—22no—
164C22×C4×C7—24no—
165C22×C4×C7—22no—
166C22×C4×C7—22no—
167C22×C4×C7—22no—
168C22×C4×C7—22no—
169C22×C4×C7—22no—
170C22×C4×C7—22no—
171C22×C4×C7—22no—
172C22×C4×C7—22no—
173C22×C4×C7—21no—
174C22×C4×C7—21no—
175C22×C4×C7—22no—
176C22×C4×C7—21no—
177C22×C4×C7—21no—
178C22×C4×C7—21no—
179C22×C4×C7—21no—
180C22×C4×C7—41no—
181C22×C4×C7—41no—
182C22×C4×C7—41no—
183C22×C4×C7—48no—
184C22×C4×C7—48no—
185C22×C4×C7—42no—
186C22×C4×C7—42no—
187C22×C4×C7C2×D411yescharacteristic
188C22×C4×C7C2×D411yescharacteristic
189C22×C4×C7C2×D414yes—
190C22×C4×C7C2×D411yescharacteristic
191C22×C4×C7#4112yes—
192C22×C4×C7#4112yes—
193C22×C4×C7C2411yescharacteristic
194C2×C7×C8—22no—
195C2×C7×C8—22no—
196C2×C7×C8—22no—
197C2×C7×C8—22no—
198C2×C7×C8—22no—
199C2×C7×C8—22no—
200C7×C4⋊C4—24no—
201C7×C4⋊C4—22no—
202C7×C4⋊C4—22no—
203C7×C4⋊C4—22no—
204C7×C4⋊C4—22no—
205C7×C4⋊C4—22no—
206C7×C4⋊C4C2×D414yes—
207C7×C22⋊C4—28no—
208C7×C22⋊C4—28no—
209C7×C22⋊C4—42no—
210C7×C22⋊C4—42no—
211C7×C22⋊C4—42no—
212C7×C22⋊C4—42no—
213C7×C22⋊C4—42no—
214C7×C22⋊C4—42no—
215C42×C7—42no—
216C42×C7—42no—
217C23×D4—21no—
218C23×D4C22×C711yescharacteristic
219C24×C4C22×C711yescharacteristic
220C2×#121—21no—
221C2×#121—21no—
222C2×#121—28no—
223C2×#121C22×C712yes—
224C2×#121C22×C712yes—
225C2×#117C22×C711yescharacteristic, complemented
226C2×#117C22×C711yescharacteristic, complemented
227C22×C4⋊C4C22×C711yescharacteristic
228C22×C22⋊C4—21no—
229#482—28no—
230C2×#107C22×C712yescomplemented
231C2×#106C22×C712yescomplemented
232C2×#102C22×C712yescomplemented
233C2×#102C22×C712yescomplemented
234C2×#102C22×C712yescomplemented
235C2×#102C22×C712yescomplemented
236C2×C22⋊C8C22×C711yescharacteristic
237C2×C22⋊C8C22×C711yescharacteristic
238C2×C22⋊C8C22×C712yescomplemented
239C2×C22⋊C8C22×C712yescomplemented
240#381—21no—
241#380C22×C711yescharacteristic
242#380C22×C711yescharacteristic
243#380C22×C711yescharacteristic, complemented
244#380C22×C711yescharacteristic, complemented
245#379—21no—
246C4×C22⋊C4—21no—
247C4×C22⋊C4—21no—
248#340C22×C712yescomplemented
249#340C22×C712yescomplemented
250C23×C7—21no—
251C23×C7—21no—
252C23×C7—21no—
253C23×C7—21no—
254C23×C7—28no—
255C23×C7—21no—
256C23×C7—21no—
257C23×C7—21no—
258C23×C7—21no—
259C23×C7—21no—
260C23×C7—21no—
261C23×C7—21no—
262C23×C7—21no—
263C23×C7—21no—
264C23×C7—21no—
265C23×C7—21no—
266C23×C7—21no—
267C23×C7—24no—
268C23×C7—44no—
269C23×C7—44no—
270C23×C7—44no—
271C23×C7—44no—
272C23×C7—44no—
273C23×C7—48no—
274C23×C7—48no—
275C23×C7—48no—
276C23×C7—44no—
277C23×C7—42no—
278C23×C7—42no—
279C23×C7—42no—
280C23×C7—42no—
281C23×C7—42no—
282C23×C7—42no—
283C23×C7—84no—
284C23×C7—84no—
285C23×C7—84no—
286C23×C7—84no—
287C23×C7#12012yes—
288C23×C7#12312yes—
289C23×C7#13512yes—
290C23×C7AGL(1,ℤ/8)12yes—
291C23×C7AGL(1,ℤ/8)12yes—
292C23×C7C22×D411yescharacteristic
293C7×D4—24no—
294C7×D4—24no—
295C7×D4—48no—
296C7×D4—416no—
297C7×D4—416no—
298C7×D4—42no—
299C7×D4—42no—
300C2×C4×C7—21no—
301C2×C4×C7—21no—
302C2×C4×C7—21no—
303C2×C4×C7—21no—
304C2×C4×C7—24no—
305C2×C4×C7—24no—
306C2×C4×C7—24no—
307C2×C4×C7—24no—
308C2×C4×C7—21no—
309C2×C4×C7—24no—
310C2×C4×C7—21no—
311C2×C4×C7—21no—
312C2×C4×C7—44no—
313C2×C4×C7—44no—
314C2×C4×C7—44no—
315C2×C4×C7—48no—
316C2×C4×C7—42no—
317C2×C4×C7—42no—
318C2×C4×C7—42no—
319C2×C4×C7—42no—
320C2×C4×C7—41no—
321C2×C4×C7—41no—
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#12012yes—
333C2×C4×C7#12312yes—
334C2×C4×C7C22×D412yes—
335C2×C4×C7C2×#4111yescharacteristic
336C2×C4×C7C2×#4111yescharacteristic
337C2×C4×C7H(5,𝔽2)12yes—
338C7×C8—42no—
339C7×C8—42no—
340C25—21no—
341C25C7×D411yescharacteristic
342C22×D4—28no—
343C22×D4—22no—
344C22×D4—22no—
345C22×D4—24no—
346C22×D4—21no—
347C22×D4—22no—
348C22×D4—22no—
349C22×D4—42no—
350C22×D4—44no—
351C22×D4—44no—
352C22×D4C23×C712yes—
353C23×C4—21no—
354C23×C4—24no—
355C23×C4—22no—
356C23×C4—22no—
357C23×C4—42no—
358C23×C4C7×D411yescharacteristic
359C23×C4C7×D411yescharacteristic
360C23×C4C7×D411yescharacteristic
361C23×C4C23×C711yescharacteristic
362C23×C4C23×C711yescharacteristic
363C23×C4C23×C711yescharacteristic
364C22×C8C23×C712yes—
365C22×C8C23×C712yes—
366#121—28no—
367#121—28no—
368#121—24no—
369#121—24no—
370#121—24no—
371#121C7×D418yes—
372#117—24no—
373#117—42no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—24no—
376C2×C4⋊C4C23×C711yescharacteristic
377C2×C4⋊C4C23×C711yescharacteristic
378C2×C4⋊C4C23×C711yescharacteristic
379C2×C4⋊C4C23×C711yescharacteristic
380C2×C4⋊C4C23×C712yes—
381C2×C22⋊C4—28no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—21no—
385C2×C22⋊C4—21no—
386C2×C22⋊C4—21no—
387C2×C22⋊C4—21no—
388C2×C22⋊C4—21no—
389C2×C22⋊C4—21no—
390C2×C42—21no—
391C2×C42—21no—
392#107—24no—
393#106—24no—
394#102—24no—
395#102—24no—
396#102—42no—
397#102—42no—
398C22⋊C8—24no—
399C22⋊C8—22no—
400C22⋊C8—22no—
401C22⋊C8—42no—
402#95—21no—
403#95—21no—
404#95—21no—
405#95—21no—
406C22×C7—22no—
407C22×C7—22no—
408C22×C7—22no—
409C22×C7—22no—
410C22×C7—22no—
411C22×C7—22no—
412C22×C7—22no—
413C22×C7—22no—
414C22×C7—22no—
415C22×C7—22no—
416C22×C7—22no—
417C22×C7—22no—
418C22×C7—416no—
419C22×C7—41no—
420C22×C7—41no—
421C22×C7—41no—
422C22×C7—41no—
423C22×C7—41no—
424C22×C7—41no—
425C22×C7—41no—
426C22×C7—41no—
427C22×C7—44no—
428C22×C7—44no—
429C22×C7—44no—
430C22×C7—816no—
431C22×C7—82no—
432C22×C7—82no—
433C22×C7—82no—
434C22×C7—82no—
435C22×C7#48214yescomplemented
436C22×C7C2×#12011yescharacteristic
437C22×C7C2×#12311yescharacteristic
438C22×C7#53411yescharacteristic
439C22×C7C2×#13511yescharacteristic
440C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
441C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
442C22×C7#57511yescharacteristic
443C4×C7—22no—
444C4×C7—22no—
445C4×C7—41no—
446C4×C7—44no—
447C4×C7—81no—
448C4×C7—81no—
449C4×C7—81no—
450C4×C7—81no—
451C4×C7#54612yes—
452C4×C7#54612yes—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—24no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24—41no—
461C24—41no—
462C24—42no—
463C24—42no—
464C24—42no—
465C24—42no—
466C24—42no—
467C24—42no—
468C24C2×C7×D411yescharacteristic
469C24C2×C7×D411yescharacteristic
470C24C2×C7×D411yescharacteristic
471C2×D4—24no—
472C2×D4—28no—
473C2×D4—28no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—48no—
480C2×D4—48no—
481C2×D4—42no—
482C2×D4—432no—
483C2×D4—44no—
484C2×D4—44no—
485C2×D4—44no—
486C2×D4—44no—
487C2×D4—42no—
488C2×D4C2×C7×D414yes—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4C2×C7×D411yescharacteristic
518C22×C4C2×C7×D411yescharacteristic
519C22×C4C2×C7×D414yes—
520C22×C4C2×C7×D411yescharacteristic
521C22×C4C7×#4112yes—
522C22×C4C7×#4112yes—
523C22×C4C24×C711yescharacteristic
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C4⋊C4—24no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4C2×C7×D414yes—
537C22⋊C4—28no—
538C22⋊C4—28no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C42—42no—
546C42—42no—
547C2×C7—24no—
548C2×C7—42no—
549C2×C7—42no—
550C2×C7—84no—
551C2×C7#240511yescharacteristic
552C2×C7#300211yescharacteristic
553C2×C7#300311yescharacteristic
554C2×C7C2×#48211yescharacteristic
555C2×C7#309411yescharacteristic
556C2×C7#318811yescharacteristic
557C2×C7#319411yescharacteristic
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—28no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—24no—
576C23—44no—
577C23—44no—
578C23—44no—
579C23—44no—
580C23—44no—
581C23—48no—
582C23—48no—
583C23—48no—
584C23—44no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—84no—
592C23—84no—
593C23—84no—
594C23—84no—
595C23C7×#12012yes—
596C23C7×#12312yes—
597C23C7×#13512yes—
598C23C7×AGL(1,ℤ/8)12yes—
599C23C7×AGL(1,ℤ/8)12yes—
600C23C22×C7×D411yescharacteristic
601D4—24no—
602D4—24no—
603D4—48no—
604D4—416no—
605D4—416no—
606D4—42no—
607D4—42no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—21no—
617C2×C4—24no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—44no—
621C2×C4—44no—
622C2×C4—44no—
623C2×C4—48no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4C7×#12012yes—
641C2×C4C7×#12312yes—
642C2×C4C22×C7×D412yes—
643C2×C4C2×C7×#4111yescharacteristic
644C2×C4C2×C7×#4111yescharacteristic
645C2×C4C7×H(5,𝔽2)12yes—
646C8—42no—
647C8—42no—
648C7#2400911yescharacteristic, direct product factor, Sylow
649C22—22no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—416no—
662C22—41no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—44no—
671C22—44no—
672C22—44no—
673C22—816no—
674C22—82no—
675C22—82no—
676C22—82no—
677C22—82no—
678C22C7×#48214yescomplemented
679C22C2×C7×#12011yescharacteristic
680C22C2×C7×#12311yescharacteristic
681C22C7×#53411yescharacteristic
682C22C2×C7×#13511yescharacteristic
683C22C2×C7×AGL(1,ℤ/8)11yescharacteristic
684C22C2×C7×AGL(1,ℤ/8)11yescharacteristic
685C22C7×#57511yescharacteristic
686C4—22no—
687C4—22no—
688C4—41no—
689C4—44no—
690C4—81no—
691C4—81no—
692C4—81no—
693C4—81no—
694C4C7×#54612yes—
695C4C7×#54612yes—
696C2—24no—
697C2—42no—
698C2—42no—
699C2—84no—
700C2C7×#240511yescharacteristic
701C2C7×#300211yescharacteristic
702C2C7×#300311yescharacteristic
703C2C2×C7×#48211yescharacteristic
704C2C7×#309411yescharacteristic
705C2C7×#318811yescharacteristic
706C2C7×#319411yescharacteristic
subgroupG/H
center, socleC23×C7C22×D4
commutator, Frattini, cosocleC22×C4C24×C7
prime radicalC22×C7×#121C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C7 ◁ C24×C4×C7 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C7×#482C2semidirect
3. C7×#2280C2semidirect
4. C7×#2034C2semidirect
5. C7×#2033C2semidirect
6. C7×#1875C2semidirect
7. C7×#1853C2semidirect
8. C7×#1852C2semidirect
9. C7×#1786C2semidirect
10. C7×#1786C2semidirect
11. C7×#1779C2semidirect
20. C2×C7×#117C22semidirect
21. C2×C7×#117C22semidirect
25. C2×C7×#107C22semidirect
26. C2×C7×#106C22semidirect
27. C2×C7×#102C22semidirect
28. C2×C7×#102C22semidirect
29. C2×C7×#102C22semidirect
30. C2×C7×#102C22semidirect
33. C2×C7×C22⋊C8C22semidirect
34. C2×C7×C22⋊C8C22semidirect
38. C7×#380C22semidirect
39. C7×#380C22semidirect
43. C7×#340C22semidirect
44. C7×#340C22semidirect
45. #24009C7direct (N × H)
113. C2×#482C2×C7semidirect
114. #2280C2×C7semidirect
115. #2034C2×C7semidirect
116. #2033C2×C7semidirect
117. #1875C2×C7semidirect
118. #1853C2×C7semidirect
119. #1852C2×C7semidirect
120. #1786C2×C7semidirect
121. #1786C2×C7semidirect
122. #1779C2×C7semidirect
225. C2×#117C22×C7semidirect
226. C2×#117C22×C7semidirect
230. C2×#107C22×C7semidirect
231. C2×#106C22×C7semidirect
232. C2×#102C22×C7semidirect
233. C2×#102C22×C7semidirect
234. C2×#102C22×C7semidirect
235. C2×#102C22×C7semidirect
238. C2×C22⋊C8C22×C7semidirect
239. C2×C22⋊C8C22×C7semidirect
243. #380C22×C7semidirect
244. #380C22×C7semidirect
248. #340C22×C7semidirect
249. #340C22×C7semidirect
435. C22×C7#482semidirect
648. C7#24009direct (N × H)
678. C22C7×#482semidirect

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×#4822
C7×#22802
C7×#20342
C7×#20332
C7×#18752
C7×#18532
C7×#18522
C7×#17862
C7×#17792
#240097