Finite Group Databasebeta

← C7×#15203 #13192419

Subgroups — C7×#15203 #13192419

Order 1792.

2214 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C7×D4C211yesmaximal, characteristic
2C2×C7×#387C211yesmaximal, characteristic, complemented
3C2×C7×#385C212yesmaximal, complemented
4C7×#1444C211yesmaximal, characteristic, complemented
5C7×#1442C211yesmaximal, characteristic, complemented
6C7×#1439C212yesmaximal, complemented
7C7×#1439C212yesmaximal, complemented
8C7×#1438C211yesmaximal, characteristic
9C7×#1438C211yesmaximal, characteristic
10C7×#1434C211yesmaximal, characteristic, complemented
11C7×C22⋊#95C212yesmaximal, complemented
12C23×C7×D4C2211yescharacteristic
13C24×C4×C7C2212yes—
14C2×C4×C7×D4—28no—
15C2×C4×C7×D4—24no—
16C22×C7×C4⋊C4C2211yescharacteristic
17C22×C7×C4⋊C4C2211yescharacteristic
18C22×C7×C4⋊C4C2211yescharacteristic
19C22×C7×C4⋊C4C2212yes—
20C22×C7×C22⋊C4C2212yes—
21C22×C7×C22⋊C4C2212yes—
22C22×C7×C22⋊C4C2212yes—
23C22×C7×C22⋊C4C2212yes—
24C22×C7×C22⋊C4C2212yes—
25C22×C42×C7C2211yescharacteristic
26C7×#387—24no—
27C7×#385—28no—
28C2×C7×#95C2212yes—
29C2×C7×#95C2212yes—
30C2×C7×#95C2211yescharacteristic
31C2×C7×#95C2211yescharacteristic
32C2×C7×#95C2211yescharacteristic
33C2×C7×#95C2211yescharacteristic
34C2×C7×#95C2211yescharacteristic
35C2×C7×#95C2211yescharacteristic
36C2×C7×#95C2212yes—
37C2×C7×#95C2212yes—
38C2×C7×#95C2212yes—
39#15203C711yesmaximal, characteristic, direct product factor, Sylow
40C25×C7C2312yes—
41C22×C7×D4—24no—
42C22×C7×D4—24no—
43C22×C7×D4—22no—
44C22×C7×D4—22no—
45C22×C7×D4Q814yes—
46C23×C4×C7—24no—
47C23×C4×C7—24no—
48C23×C4×C7—42no—
49C23×C4×C7—42no—
50C23×C4×C7—42no—
51C23×C4×C7—42no—
52C23×C4×C7D418yes—
53C23×C4×C7C2311yescharacteristic
54C23×C4×C7C2312yes—
55C23×C4×C7C2311yescharacteristic
56C23×C4×C7C2311yescharacteristic
57C23×C4×C7C2312yes—
58C23×C4×C7C2311yescharacteristic
59C23×C4×C7C2312yes—
60C23×C4×C7C2311yescharacteristic
61C23×C4×C7C2311yescharacteristic
62C23×C4×C7C2311yescharacteristic
63C4×C7×D4—232no—
64C2×C7×C4⋊C4—24no—
65C2×C7×C4⋊C4—22no—
66C2×C7×C4⋊C4—22no—
67C2×C7×C4⋊C4—22no—
68C2×C7×C4⋊C4—22no—
69C2×C7×C4⋊C4—24no—
70C2×C7×C4⋊C4—24no—
71C2×C7×C4⋊C4—22no—
72C2×C7×C4⋊C4—42no—
73C2×C7×C4⋊C4—42no—
74C2×C7×C22⋊C4—24no—
75C2×C7×C22⋊C4—24no—
76C2×C7×C22⋊C4—24no—
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—42no—
86C2×C7×C22⋊C4—42no—
87C2×C7×C22⋊C4—42no—
88C2×C7×C22⋊C4—42no—
89C2×C42×C7—24no—
90C2×C42×C7D414yes—
91C7×#95—24no—
92C7×#95—24no—
93C7×#95—22no—
94C7×#95—22no—
95C7×#95—22no—
96C7×#95—22no—
97C7×#95—22no—
98C7×#95—24no—
99C7×#95—22no—
100C7×#95—42no—
101C7×#95—42no—
102C22×C4×D4C2×C711yescharacteristic
103C2×#387C2×C711yescharacteristic, complemented
104C2×#385C2×C712yescomplemented
105#1444C2×C711yescharacteristic, complemented
106#1442C2×C711yescharacteristic, complemented
107#1439C2×C712yescomplemented
108#1439C2×C712yescomplemented
109#1438C2×C711yescharacteristic
110#1438C2×C711yescharacteristic
111#1434C2×C711yescharacteristic, complemented
112C22⋊#95C2×C712yescomplemented
113C24×C7—22no—
114C24×C7—22no—
115C24×C7—22no—
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×C7C2×D414yes—
126C24×C7C2×Q814yes—
127C24×C7#4114yes—
128C24×C7C2411yescharacteristic
129C2×C7×D4—28no—
130C2×C7×D4—28no—
131C2×C7×D4—216no—
132C2×C7×D4—216no—
133C2×C7×D4—28no—
134C22×C4×C7—22no—
135C22×C4×C7—22no—
136C22×C4×C7—21no—
137C22×C4×C7—22no—
138C22×C4×C7—21no—
139C22×C4×C7—21no—
140C22×C4×C7—22no—
141C22×C4×C7—22no—
142C22×C4×C7—21no—
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—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—216no—
164C22×C4×C7—21no—
165C22×C4×C7—22no—
166C22×C4×C7—21no—
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—21no—
175C22×C4×C7—22no—
176C22×C4×C7—21no—
177C22×C4×C7—22no—
178C22×C4×C7—21no—
179C22×C4×C7—22no—
180C22×C4×C7—21no—
181C22×C4×C7—48no—
182C22×C4×C7—48no—
183C22×C4×C7—48no—
184C22×C4×C7—48no—
185C22×C4×C7—48no—
186C22×C4×C7—48no—
187C22×C4×C7C2×D412yes—
188C22×C4×C7C2×D414yes—
189C22×C4×C7C2×D414yes—
190C22×C4×C7C2×D412yes—
191C22×C4×C7C2×D412yes—
192C22×C4×C7C2×Q812yes—
193C22×C4×C7#4114yes—
194C22×C4×C7#4112yes—
195C22×C4×C7#4112yes—
196C22×C4×C7#4112yes—
197C7×C4⋊C4—28no—
198C7×C4⋊C4—28no—
199C7×C4⋊C4—48no—
200C7×C4⋊C4—44no—
201C7×C22⋊C4—216no—
202C7×C22⋊C4—216no—
203C7×C22⋊C4—48no—
204C7×C22⋊C4—48no—
205C7×C22⋊C4—48no—
206C42×C7—28no—
207C23×D4C22×C711yescharacteristic
208C24×C4C22×C712yes—
209C2×C4×D4—28no—
210C2×C4×D4—24no—
211C22×C4⋊C4C22×C711yescharacteristic
212C22×C4⋊C4C22×C711yescharacteristic
213C22×C4⋊C4C22×C711yescharacteristic
214C22×C4⋊C4C22×C712yes—
215C22×C22⋊C4C22×C712yes—
216C22×C22⋊C4C22×C712yes—
217C22×C22⋊C4C22×C712yes—
218C22×C22⋊C4C22×C712yes—
219C22×C22⋊C4C22×C712yes—
220C22×C42C22×C711yescharacteristic
221#387—24no—
222#385—28no—
223C2×#95C22×C711yescharacteristic
224C2×#95C22×C712yes—
225C2×#95C22×C711yescharacteristic
226C2×#95C22×C711yescharacteristic
227C2×#95C22×C712yes—
228C2×#95C22×C711yescharacteristic
229C2×#95C22×C711yescharacteristic
230C2×#95C22×C711yescharacteristic
231C2×#95C22×C712yes—
232C2×#95C22×C712yes—
233C2×#95C22×C712yes—
234C23×C7—24no—
235C23×C7—24no—
236C23×C7—24no—
237C23×C7—24no—
238C23×C7—24no—
239C23×C7—24no—
240C23×C7—24no—
241C23×C7—24no—
242C23×C7—24no—
243C23×C7—24no—
244C23×C7—24no—
245C23×C7—24no—
246C23×C7—24no—
247C23×C7—24no—
248C23×C7—24no—
249C23×C7—24no—
250C23×C7—24no—
251C23×C7—24no—
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×C7C22⋊Q818yes—
269C23×C7C22×D412yes—
270C23×C7C22×D411yescharacteristic
271C23×C7C22×Q811yescharacteristic
272C23×C7C2×#4112yes—
273C23×C7C2×#4111yescharacteristic
274C23×C7C2×#4111yescharacteristic
275C23×C7C2×#4111yescharacteristic
276C23×C7C2×#4112yes—
277C23×C7H(5,𝔽2)11yescharacteristic
278C23×C7H(5,𝔽2)12yes—
279C23×C7H(5,𝔽2)11yescharacteristic
280C7×D4—232no—
281C2×C4×C7—22no—
282C2×C4×C7—24no—
283C2×C4×C7—22no—
284C2×C4×C7—24no—
285C2×C4×C7—24no—
286C2×C4×C7—24no—
287C2×C4×C7—22no—
288C2×C4×C7—22no—
289C2×C4×C7—22no—
290C2×C4×C7—24no—
291C2×C4×C7—24no—
292C2×C4×C7—24no—
293C2×C4×C7—22no—
294C2×C4×C7—22no—
295C2×C4×C7—22no—
296C2×C4×C7—22no—
297C2×C4×C7—24no—
298C2×C4×C7—24no—
299C2×C4×C7—24no—
300C2×C4×C7—24no—
301C2×C4×C7—24no—
302C2×C4×C7—432no—
303C2×C4×C7—41no—
304C2×C4×C7—41no—
305C2×C4×C7—42no—
306C2×C4×C7—42no—
307C2×C4×C7—42no—
308C2×C4×C7—42no—
309C2×C4×C7—41no—
310C2×C4×C7—42no—
311C2×C4×C7—42no—
312C2×C4×C7—42no—
313C2×C4×C7—41no—
314C2×C4×C7—42no—
315C2×C4×C7—42no—
316C2×C4×C7—42no—
317C2×C4×C7—42no—
318C2×C4×C7—42no—
319C2×C4×C7—41no—
320C2×C4×C7—42no—
321C2×C4×C7—41no—
322C2×C4×C7—42no—
323C2×C4×C7—41no—
324C2×C4×C7—42no—
325C2×C4×C7—42no—
326C2×C4×C7—42no—
327C2×C4×C7—41no—
328C2×C4×C7—41no—
329C2×C4×C7—41no—
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#12014yes—
337C2×C4×C7C22⋊Q814yes—
338C25C23×C712yes—
339C22×D4—24no—
340C22×D4—24no—
341C22×D4—22no—
342C22×D4—22no—
343C22×D4C7×Q814yes—
344C23×C4—24no—
345C23×C4—24no—
346C23×C4—42no—
347C23×C4—42no—
348C23×C4—42no—
349C23×C4—42no—
350C23×C4C7×D418yes—
351C23×C4C23×C711yescharacteristic
352C23×C4C23×C711yescharacteristic
353C23×C4C23×C712yes—
354C23×C4C23×C711yescharacteristic
355C23×C4C23×C712yes—
356C23×C4C23×C711yescharacteristic
357C23×C4C23×C711yescharacteristic
358C23×C4C23×C712yes—
359C23×C4C23×C711yescharacteristic
360C23×C4C23×C711yescharacteristic
361C4×D4—232no—
362C2×C4⋊C4—24no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—24no—
368C2×C4⋊C4—24no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—42no—
371C2×C4⋊C4—42no—
372C2×C22⋊C4—24no—
373C2×C22⋊C4—24no—
374C2×C22⋊C4—24no—
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—42no—
384C2×C22⋊C4—42no—
385C2×C22⋊C4—42no—
386C2×C22⋊C4—42no—
387C2×C42—24no—
388C2×C42C7×D414yes—
389#95—24no—
390#95—24no—
391#95—22no—
392#95—22no—
393#95—22no—
394#95—22no—
395#95—22no—
396#95—24no—
397#95—22no—
398#95—42no—
399#95—42no—
400C22×C7—28no—
401C22×C7—28no—
402C22×C7—28no—
403C22×C7—44no—
404C22×C7—44no—
405C22×C7—44no—
406C22×C7—44no—
407C22×C7—44no—
408C22×C7—44no—
409C22×C7—44no—
410C22×C7—44no—
411C22×C7—44no—
412C22×C7—44no—
413C22×C7—44no—
414C22×C7—44no—
415C22×C7C2×#12011yescharacteristic
416C22×C7C2×C22⋊Q812yes—
417C22×C7C2×C22⋊Q811yescharacteristic
418C22×C7#52512yes—
419C22×C7#52511yescharacteristic
420C22×C7#52511yescharacteristic
421C22×C7#52512yes—
422C22×C7#53212yes—
423C22×C7#53211yescharacteristic
424C22×C7#53412yes—
425C22×C7#53412yes—
426C22×C7#53511yescharacteristic
427C22×C7#53511yescharacteristic
428C22×C7#55112yes—
429C22×C7#55112yes—
430C22×C7#55312yes—
431C22×C7#55312yes—
432C22×C7#55312yes—
433C22×C7#55411yescharacteristic
434C22×C7#55412yes—
435C22×C7#55411yescharacteristic
436C22×C7#55911yescharacteristic
437C22×C7#55911yescharacteristic
438C4×C7—24no—
439C4×C7—24no—
440C4×C7—42no—
441C4×C7—44no—
442C4×C7—44no—
443C4×C7—42no—
444C4×C7—42no—
445C4×C7—82no—
446C4×C7—81no—
447C4×C7—81no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24C2×C7×D414yes—
461C24C2×C7×Q814yes—
462C24C7×#4114yes—
463C24C24×C711yescharacteristic
464C2×D4—28no—
465C2×D4—28no—
466C2×D4—216no—
467C2×D4—216no—
468C2×D4—28no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—216no—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—21no—
510C22×C4—22no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4C2×C7×D412yes—
523C22×C4C2×C7×D414yes—
524C22×C4C2×C7×D414yes—
525C22×C4C2×C7×D412yes—
526C22×C4C2×C7×D412yes—
527C22×C4C2×C7×Q812yes—
528C22×C4C7×#4114yes—
529C22×C4C7×#4112yes—
530C22×C4C7×#4112yes—
531C22×C4C7×#4112yes—
532C4⋊C4—28no—
533C4⋊C4—28no—
534C4⋊C4—48no—
535C4⋊C4—44no—
536C22⋊C4—216no—
537C22⋊C4—216no—
538C22⋊C4—48no—
539C22⋊C4—48no—
540C22⋊C4—48no—
541C42—28no—
542C2×C7—48no—
543C2×C7#238811yescharacteristic
544C2×C7#256412yes—
545C2×C7#256611yescharacteristic
546C2×C7#257912yes—
547C2×C7#258011yescharacteristic
548C2×C7#259811yescharacteristic
549C2×C7#260012yes—
550C2×C7#260212yes—
551C2×C7#260311yescharacteristic
552C2×C7#261311yescharacteristic
553C2×C7#284811yescharacteristic
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
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—
588C23C7×C22⋊Q818yes—
589C23C22×C7×D412yes—
590C23C22×C7×D411yescharacteristic
591C23C22×C7×Q811yescharacteristic
592C23C2×C7×#4112yes—
593C23C2×C7×#4111yescharacteristic
594C23C2×C7×#4111yescharacteristic
595C23C2×C7×#4111yescharacteristic
596C23C2×C7×#4112yes—
597C23C7×H(5,𝔽2)11yescharacteristic
598C23C7×H(5,𝔽2)12yes—
599C23C7×H(5,𝔽2)11yescharacteristic
600D4—232no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—432no—
623C2×C4—41no—
624C2×C4—42no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—41no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—41no—
640C2×C4—42no—
641C2×C4—41no—
642C2×C4—42no—
643C2×C4—41no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4C7×#12014yes—
657C2×C4C7×C22⋊Q814yes—
658C7#1520311yescharacteristic, direct product factor, Sylow
659C22—28no—
660C22—28no—
661C22—28no—
662C22—44no—
663C22—44no—
664C22—44no—
665C22—44no—
666C22—44no—
667C22—44no—
668C22—44no—
669C22—44no—
670C22—44no—
671C22—44no—
672C22—44no—
673C22—44no—
674C22C2×C7×#12011yescharacteristic
675C22C2×C7×C22⋊Q812yes—
676C22C2×C7×C22⋊Q811yescharacteristic
677C22C7×#52512yes—
678C22C7×#52511yescharacteristic
679C22C7×#52511yescharacteristic
680C22C7×#52512yes—
681C22C7×#53212yes—
682C22C7×#53211yescharacteristic
683C22C7×#53412yes—
684C22C7×#53412yes—
685C22C7×#53511yescharacteristic
686C22C7×#53511yescharacteristic
687C22C7×#55112yes—
688C22C7×#55112yes—
689C22C7×#55312yes—
690C22C7×#55312yes—
691C22C7×#55312yes—
692C22C7×#55411yescharacteristic
693C22C7×#55412yes—
694C22C7×#55411yescharacteristic
695C22C7×#55911yescharacteristic
696C22C7×#55911yescharacteristic
697C4—24no—
698C4—24no—
699C4—42no—
700C4—42no—
701C4—42no—
702C4—44no—
703C4—44no—
704C4—82no—
705C4—81no—
706C4—81no—
707C2—48no—
708C2C7×#238811yescharacteristic
709C2C7×#256412yes—
710C2C7×#256611yescharacteristic
711C2C7×#257912yes—
712C2C7×#258011yescharacteristic
713C2C7×#259811yescharacteristic
714C2C7×#260012yes—
715C2C7×#260212yes—
716C2C7×#260311yescharacteristic
717C2C7×#261311yescharacteristic
718C2C7×#284811yescharacteristic
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
2. C2×C7×#387C2semidirect
3. C2×C7×#385C2semidirect
4. C7×#1444C2semidirect
5. C7×#1442C2semidirect
6. C7×#1439C2semidirect
7. C7×#1439C2semidirect
10. C7×#1434C2semidirect
11. C7×C22⋊#95C2semidirect
39. #15203C7direct (N × H)
103. C2×#387C2×C7semidirect
104. C2×#385C2×C7semidirect
105. #1444C2×C7semidirect
106. #1442C2×C7semidirect
107. #1439C2×C7semidirect
108. #1439C2×C7semidirect
111. #1434C2×C7semidirect
112. C22⋊#95C2×C7semidirect
658. C7#15203direct (N × H)

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×#3872
C2×C7×#3852
C7×#14442
C7×#14422
C7×#14392
C7×#14382
C7×#14342
C7×C22⋊#952
#152037