Finite Group Databasebeta

← C7×#15882 #13193098

Subgroups — C7×#15882 #13193098

Order 1792.

1826 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×#125C211yesmaximal, characteristic, complemented
2C2×C7×#394C211yesmaximal, characteristic
3C2×C7×#394C211yesmaximal, characteristic
4C2×C7×#390C211yesmaximal, characteristic
5C7×#1445C211yesmaximal, characteristic, complemented
6C7×#1439C212yesmaximal, complemented
7C7×#1439C212yesmaximal, complemented
8C7×#1439C212yesmaximal, complemented
9C7×#1437C212yesmaximal, complemented
10C7×#1436C211yesmaximal, characteristic, complemented
11C7×#1436C211yesmaximal, characteristic, complemented
12C23×C7×D4C2211yescharacteristic
13C2×C7×#125—24no—
14C2×C7×#125—24no—
15C2×C7×#125—24no—
16C22×C7×C4⋊C4C2211yescharacteristic
17C22×C7×C4⋊C4C2211yescharacteristic
18C22×C7×C4⋊C4C2211yescharacteristic
19C22×C7×C4⋊C4C2211yescharacteristic
20C22×C7×C4⋊C4C2211yescharacteristic
21C22×C7×C4⋊C4C2211yescharacteristic
22C22×C7×C22⋊C4C2212yes—
23C22×C7×C22⋊C4C2212yes—
24C22×C7×C22⋊C4C2212yes—
25C22×C7×C22⋊C4C2212yes—
26C22×C7×C22⋊C4C2212yes—
27C22×C7×C22⋊C4C2212yes—
28C22×C42×C7C2211yescharacteristic
29C22×C42×C7C2211yescharacteristic
30C7×#394—24no—
31C7×#394—24no—
32C7×#390—24no—
33C2×C7×#95C2212yes—
34C2×C7×#95C2212yes—
35C2×C7×#95C2211yescharacteristic
36C2×C7×#95C2211yescharacteristic
37C2×C7×#95C2212yes—
38C2×C7×#95C2212yes—
39C2×C7×#95C2212yes—
40C2×C7×#95C2212yes—
41#15882C711yesmaximal, characteristic, direct product factor, Sylow
42C25×C7C2312yes—
43C22×C7×D4—24no—
44C22×C7×D4—22no—
45C22×C7×D4—22no—
46C22×C7×D4—22no—
47C22×C7×D4—42no—
48C23×C4×C7C2312yes—
49C23×C4×C7C2312yes—
50C23×C4×C7C2311yescharacteristic
51C23×C4×C7C2311yescharacteristic
52C23×C4×C7C2311yescharacteristic
53C23×C4×C7C2311yescharacteristic
54C23×C4×C7C2311yescharacteristic
55C23×C4×C7C2312yes—
56C23×C4×C7C2311yescharacteristic
57C23×C4×C7C2311yescharacteristic
58C7×#125—232no—
59C2×C7×C4⋊C4—22no—
60C2×C7×C4⋊C4—22no—
61C2×C7×C4⋊C4—22no—
62C2×C7×C4⋊C4—22no—
63C2×C7×C4⋊C4—22no—
64C2×C7×C4⋊C4—22no—
65C2×C7×C4⋊C4—22no—
66C2×C7×C4⋊C4—22no—
67C2×C7×C4⋊C4—22no—
68C2×C7×C4⋊C4—22no—
69C2×C7×C4⋊C4—22no—
70C2×C7×C4⋊C4—22no—
71C2×C7×C4⋊C4—22no—
72C2×C7×C4⋊C4—22no—
73C2×C7×C4⋊C4—22no—
74C2×C7×C4⋊C4D414yes—
75C2×C7×C4⋊C4D414yes—
76C2×C7×C4⋊C4D414yes—
77C2×C7×C22⋊C4—24no—
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—24no—
85C2×C7×C22⋊C4—24no—
86C2×C7×C22⋊C4—24no—
87C2×C7×C22⋊C4—24no—
88C2×C7×C22⋊C4—24no—
89C2×C7×C22⋊C4—42no—
90C2×C7×C22⋊C4—42no—
91C2×C7×C22⋊C4—42no—
92C2×C7×C22⋊C4—42no—
93C2×C7×C22⋊C4—42no—
94C2×C7×C22⋊C4—42no—
95C2×C42×C7—22no—
96C2×C42×C7—22no—
97C2×C42×C7—22no—
98C2×C42×C7—22no—
99C2×C42×C7—42no—
100C7×#95—22no—
101C7×#95—22no—
102C7×#95—24no—
103C7×#95—24no—
104C7×#95—42no—
105C7×#95—42no—
106C7×#95—42no—
107C7×#95—42no—
108C22×#125C2×C711yescharacteristic, complemented
109C2×#394C2×C711yescharacteristic
110C2×#394C2×C711yescharacteristic
111C2×#390C2×C711yescharacteristic
112#1445C2×C711yescharacteristic, complemented
113#1439C2×C712yescomplemented
114#1439C2×C712yescomplemented
115#1439C2×C712yescomplemented
116#1437C2×C712yescomplemented
117#1436C2×C711yescharacteristic, complemented
118#1436C2×C711yescharacteristic, complemented
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×C7—22no—
128C24×C7—22no—
129C24×C7—22no—
130C24×C7—22no—
131C24×C7—22no—
132C24×C7—22no—
133C24×C7#4114yes—
134C24×C7C2411yescharacteristic
135C2×C7×D4—28no—
136C2×C7×D4—48no—
137C2×C7×D4—48no—
138C2×C7×D4—44no—
139C2×C7×D4—44no—
140C22×C4×C7—21no—
141C22×C4×C7—21no—
142C22×C4×C7—22no—
143C22×C4×C7—22no—
144C22×C4×C7—22no—
145C22×C4×C7—22no—
146C22×C4×C7—21no—
147C22×C4×C7—21no—
148C22×C4×C7—21no—
149C22×C4×C7—21no—
150C22×C4×C7—21no—
151C22×C4×C7—21no—
152C22×C4×C7—21no—
153C22×C4×C7—21no—
154C22×C4×C7—21no—
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—22no—
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—22no—
171C22×C4×C7—22no—
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×C7—22no—
180C22×C4×C7—22no—
181C22×C4×C7—22no—
182C22×C4×C7—22no—
183C22×C4×C7—22no—
184C22×C4×C7—22no—
185C22×C4×C7C2×D412yes—
186C22×C4×C7C2×D412yes—
187C22×C4×C7C2×D412yes—
188C22×C4×C7C2×D412yes—
189C22×C4×C7C2×D412yes—
190C22×C4×C7C2×D412yes—
191C22×C4×C7C2×D412yes—
192C22×C4×C7C2×D412yes—
193C22×C4×C7C2×D412yes—
194C22×C4×C7#4114yes—
195C22×C4×C7#4114yes—
196C7×C4⋊C4—28no—
197C7×C4⋊C4—28no—
198C7×C4⋊C4—28no—
199C7×C4⋊C4—28no—
200C7×C4⋊C4—28no—
201C7×C4⋊C4—28no—
202C7×C22⋊C4—48no—
203C7×C22⋊C4—48no—
204C7×C22⋊C4—48no—
205C7×C22⋊C4—48no—
206C7×C22⋊C4—48no—
207C7×C22⋊C4—48no—
208C42×C7—28no—
209C42×C7—44no—
210C23×D4C22×C711yescharacteristic
211C2×#125—24no—
212C2×#125—24no—
213C2×#125—24no—
214C22×C4⋊C4C22×C711yescharacteristic
215C22×C4⋊C4C22×C711yescharacteristic
216C22×C4⋊C4C22×C711yescharacteristic
217C22×C4⋊C4C22×C711yescharacteristic
218C22×C4⋊C4C22×C711yescharacteristic
219C22×C4⋊C4C22×C711yescharacteristic
220C22×C22⋊C4C22×C712yes—
221C22×C22⋊C4C22×C712yes—
222C22×C22⋊C4C22×C712yes—
223C22×C22⋊C4C22×C712yes—
224C22×C22⋊C4C22×C712yes—
225C22×C22⋊C4C22×C712yes—
226C22×C42C22×C711yescharacteristic
227C22×C42C22×C711yescharacteristic
228#394—24no—
229#394—24no—
230#390—24no—
231C2×#95C22×C711yescharacteristic
232C2×#95C22×C711yescharacteristic
233C2×#95C22×C712yes—
234C2×#95C22×C712yes—
235C2×#95C22×C712yes—
236C2×#95C22×C712yes—
237C2×#95C22×C712yes—
238C2×#95C22×C712yes—
239C23×C7—24no—
240C23×C7—24no—
241C23×C7—24no—
242C23×C7—24no—
243C23×C7—24no—
244C23×C7—24no—
245C23×C7—24no—
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—42no—
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—42no—
272C23×C7—42no—
273C23×C7—42no—
274C23×C7C22×D411yescharacteristic
275C23×C7C22×D411yescharacteristic
276C23×C7C22×D411yescharacteristic
277C23×C7C2×#4112yes—
278C23×C7C2×#4112yes—
279C23×C7C2×#4112yes—
280C23×C7H(5,𝔽2)12yes—
281C23×C7H(5,𝔽2)12yes—
282C23×C72−1+412yes—
283C7×D4—416no—
284C2×C4×C7—22no—
285C2×C4×C7—22no—
286C2×C4×C7—22no—
287C2×C4×C7—22no—
288C2×C4×C7—24no—
289C2×C4×C7—24no—
290C2×C4×C7—24no—
291C2×C4×C7—24no—
292C2×C4×C7—22no—
293C2×C4×C7—22no—
294C2×C4×C7—22no—
295C2×C4×C7—22no—
296C2×C4×C7—22no—
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—41no—
307C2×C4×C7—41no—
308C2×C4×C7—41no—
309C2×C4×C7—41no—
310C2×C4×C7—42no—
311C2×C4×C7—41no—
312C2×C4×C7—41no—
313C2×C4×C7—41no—
314C2×C4×C7—41no—
315C2×C4×C7—42no—
316C2×C4×C7—42no—
317C2×C4×C7—42no—
318C2×C4×C7—42no—
319C2×C4×C7—42no—
320C2×C4×C7—42no—
321C2×C4×C7—42no—
322C2×C4×C7—42no—
323C2×C4×C7—42no—
324C2×C4×C7—42no—
325C2×C4×C7—42no—
326C2×C4×C7—42no—
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×C7—42no—
335C2×C4×C7—42no—
336C2×C4×C7—42no—
337C2×C4×C7—42no—
338C2×C4×C7#12014yes—
339C2×C4×C7#12414yes—
340C25C23×C712yes—
341C22×D4—24no—
342C22×D4—22no—
343C22×D4—22no—
344C22×D4—22no—
345C22×D4—42no—
346C23×C4C23×C712yes—
347C23×C4C23×C712yes—
348C23×C4C23×C711yescharacteristic
349C23×C4C23×C711yescharacteristic
350C23×C4C23×C711yescharacteristic
351C23×C4C23×C711yescharacteristic
352C23×C4C23×C711yescharacteristic
353C23×C4C23×C712yes—
354C23×C4C23×C711yescharacteristic
355C23×C4C23×C711yescharacteristic
356#125—232no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4C7×D414yes—
373C2×C4⋊C4C7×D414yes—
374C2×C4⋊C4C7×D414yes—
375C2×C22⋊C4—24no—
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—24no—
383C2×C22⋊C4—24no—
384C2×C22⋊C4—24no—
385C2×C22⋊C4—24no—
386C2×C22⋊C4—24no—
387C2×C22⋊C4—42no—
388C2×C22⋊C4—42no—
389C2×C22⋊C4—42no—
390C2×C22⋊C4—42no—
391C2×C22⋊C4—42no—
392C2×C22⋊C4—42no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—42no—
398#95—22no—
399#95—22no—
400#95—24no—
401#95—24no—
402#95—42no—
403#95—42no—
404#95—42no—
405#95—42no—
406C22×C7—44no—
407C22×C7—44no—
408C22×C7—44no—
409C22×C7—44no—
410C22×C7—44no—
411C22×C7—44no—
412C22×C7—44no—
413C22×C7—82no—
414C22×C7—82no—
415C22×C7—82no—
416C22×C7—82no—
417C22×C7—82no—
418C22×C7—82no—
419C22×C7—82no—
420C22×C7—82no—
421C22×C7C2×#12011yescharacteristic
422C22×C7#52511yescharacteristic
423C22×C7C2×#12411yescharacteristic
424C22×C7#52912yes—
425C22×C7#53211yescharacteristic
426C22×C7#53511yescharacteristic
427C22×C7#53511yescharacteristic
428C22×C7#53611yescharacteristic
429C22×C7#53912yes—
430C22×C7#53912yes—
431C22×C7#54012yes—
432C22×C7#54612yes—
433C22×C7#54612yes—
434C22×C7#54612yes—
435C22×C7#54812yes—
436C22×C7#54812yes—
437C22×C7#55012yes—
438C22×C7#55212yes—
439C22×C7#55312yes—
440C22×C7#55312yes—
441C22×C7#56212yes—
442C4×C7—24no—
443C4×C7—24no—
444C4×C7—42no—
445C4×C7—42no—
446C4×C7—42no—
447C4×C7—42no—
448C4×C7—42no—
449C4×C7—44no—
450C4×C7—82no—
451C4×C7—82no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24—22no—
461C24—22no—
462C24—22no—
463C24—22no—
464C24—22no—
465C24—22no—
466C24C7×#4114yes—
467C24C24×C711yescharacteristic
468C2×D4—28no—
469C2×D4—48no—
470C2×D4—48no—
471C2×D4—44no—
472C2×D4—44no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
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—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
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—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4C2×C7×D412yes—
519C22×C4C2×C7×D412yes—
520C22×C4C2×C7×D412yes—
521C22×C4C2×C7×D412yes—
522C22×C4C2×C7×D412yes—
523C22×C4C2×C7×D412yes—
524C22×C4C2×C7×D412yes—
525C22×C4C2×C7×D412yes—
526C22×C4C2×C7×D412yes—
527C22×C4C7×#4114yes—
528C22×C4C7×#4114yes—
529C4⋊C4—28no—
530C4⋊C4—28no—
531C4⋊C4—28no—
532C4⋊C4—28no—
533C4⋊C4—28no—
534C4⋊C4—28no—
535C22⋊C4—48no—
536C22⋊C4—48no—
537C22⋊C4—48no—
538C22⋊C4—48no—
539C22⋊C4—48no—
540C22⋊C4—48no—
541C42—28no—
542C42—44no—
543C2×C7—84no—
544C2×C7#240411yescharacteristic
545C2×C7#243111yescharacteristic
546C2×C7#243611yescharacteristic
547C2×C7#246012yes—
548C2×C7#249012yes—
549C2×C7#255812yes—
550C2×C7#269412yes—
551C2×C7#271112yes—
552C2×C7#271112yes—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
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—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23C22×C7×D411yescharacteristic
589C23C22×C7×D411yescharacteristic
590C23C22×C7×D411yescharacteristic
591C23C2×C7×#4112yes—
592C23C2×C7×#4112yes—
593C23C2×C7×#4112yes—
594C23C7×H(5,𝔽2)12yes—
595C23C7×H(5,𝔽2)12yes—
596C23C7×2−1+412yes—
597D4—416no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—42no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4C7×#12014yes—
653C2×C4C7×#12414yes—
654C7#1588211yescharacteristic, direct product factor, Sylow
655C22—44no—
656C22—44no—
657C22—44no—
658C22—44no—
659C22—44no—
660C22—44no—
661C22—44no—
662C22—82no—
663C22—82no—
664C22—82no—
665C22—82no—
666C22—82no—
667C22—82no—
668C22—82no—
669C22—82no—
670C22C2×C7×#12011yescharacteristic
671C22C7×#52511yescharacteristic
672C22C2×C7×#12411yescharacteristic
673C22C7×#52912yes—
674C22C7×#53211yescharacteristic
675C22C7×#53511yescharacteristic
676C22C7×#53511yescharacteristic
677C22C7×#53611yescharacteristic
678C22C7×#53912yes—
679C22C7×#53912yes—
680C22C7×#54012yes—
681C22C7×#54612yes—
682C22C7×#54612yes—
683C22C7×#54612yes—
684C22C7×#54812yes—
685C22C7×#54812yes—
686C22C7×#55012yes—
687C22C7×#55212yes—
688C22C7×#55312yes—
689C22C7×#55312yes—
690C22C7×#56212yes—
691C4—24no—
692C4—24no—
693C4—42no—
694C4—42no—
695C4—42no—
696C4—42no—
697C4—42no—
698C4—44no—
699C4—82no—
700C4—82no—
701C2—84no—
702C2C7×#240411yescharacteristic
703C2C7×#243111yescharacteristic
704C2C7×#243611yescharacteristic
705C2C7×#246012yes—
706C2C7×#249012yes—
707C2C7×#255812yes—
708C2C7×#269412yes—
709C2C7×#271112yes—
710C2C7×#271112yes—
subgroupG/H
center, socleC24×C7C24
commutator, Frattini, cosocleC24C24×C7
prime radicalC23×C7×D4C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C7 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C7×#125C2semidirect
5. C7×#1445C2semidirect
6. C7×#1439C2semidirect
7. C7×#1439C2semidirect
8. C7×#1439C2semidirect
9. C7×#1437C2semidirect
10. C7×#1436C2semidirect
11. C7×#1436C2semidirect
41. #15882C7direct (N × H)
108. C22×#125C2×C7semidirect
112. #1445C2×C7semidirect
113. #1439C2×C7semidirect
114. #1439C2×C7semidirect
115. #1439C2×C7semidirect
116. #1437C2×C7semidirect
117. #1436C2×C7semidirect
118. #1436C2×C7semidirect
654. C7#15882direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C7×#1252
C2×C7×#3942
C2×C7×#3902
C7×#14452
C7×#14392
C7×#14372
C7×#14362
#158827