Finite Group Databasebeta

← C7×#15107 #13192323

Subgroups — C7×#15107 #13192323

Order 1792.

1678 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
1C2×C7×#400C211yesmaximal, characteristic, complemented
2C2×C7×#394C211yesmaximal, characteristic
3C2×C7×#390C211yesmaximal, characteristic
4C2×C4×C7×C4⋊C4C211yesmaximal, characteristic, complemented
5C7×#1445C211yesmaximal, characteristic, complemented
6C7×#1440C212yesmaximal, complemented
7C7×#1439C212yesmaximal, complemented
8C7×#1438C211yesmaximal, characteristic
9C7×#1437C212yesmaximal, complemented
10C7×#1437C212yesmaximal, complemented
11C7×#1434C211yesmaximal, characteristic, complemented
12C23×C7×D4C2211yescharacteristic
13C22×C7×C4⋊C4C2211yescharacteristic
14C22×C7×C4⋊C4C2211yescharacteristic
15C22×C7×C4⋊C4C2211yescharacteristic
16C22×C7×C22⋊C4C2212yes—
17C22×C7×C22⋊C4C2212yes—
18C22×C7×C22⋊C4C2212yes—
19C22×C7×C22⋊C4C2212yes—
20C22×C7×C22⋊C4C2212yes—
21C22×C7×C22⋊C4C2212yes—
22C22×C42×C7C2211yescharacteristic
23C22×C42×C7C2211yescharacteristic
24C22×C42×C7C2211yescharacteristic
25C7×#400—24no—
26C7×#394—24no—
27C7×#390—24no—
28C4×C7×C4⋊C4—24no—
29C2×C7×#95C2211yescharacteristic
30C2×C7×#95C2212yes—
31C2×C7×#95C2212yes—
32C2×C7×#95C2211yescharacteristic
33C2×C7×#95C2211yescharacteristic
34C2×C7×#95C2212yes—
35C2×C7×#95C2211yescharacteristic
36C2×C7×#95C2212yes—
37C2×C7×#95C2212yes—
38C2×C7×#95C2212yes—
39#15107C711yesmaximal, characteristic, direct product factor, Sylow
40C25×C7C2312yes—
41C22×C7×D4—24no—
42C22×C7×D4—22no—
43C22×C7×D4—22no—
44C22×C7×D4—22no—
45C22×C7×D4—42no—
46C23×C4×C7C2312yes—
47C23×C4×C7C2312yes—
48C23×C4×C7C2312yes—
49C23×C4×C7C2311yescharacteristic
50C23×C4×C7C2311yescharacteristic
51C23×C4×C7C2311yescharacteristic
52C23×C4×C7C2311yescharacteristic
53C23×C4×C7C2311yescharacteristic
54C23×C4×C7C2311yescharacteristic
55C23×C4×C7C2311yescharacteristic
56C2×C7×C4⋊C4—22no—
57C2×C7×C4⋊C4—22no—
58C2×C7×C4⋊C4—22no—
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⋊C4D414yes—
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—24no—
71C2×C7×C22⋊C4—24no—
72C2×C7×C22⋊C4—24no—
73C2×C7×C22⋊C4—24no—
74C2×C7×C22⋊C4—24no—
75C2×C7×C22⋊C4—24no—
76C2×C7×C22⋊C4—24no—
77C2×C7×C22⋊C4—42no—
78C2×C7×C22⋊C4—42no—
79C2×C7×C22⋊C4—42no—
80C2×C7×C22⋊C4—42no—
81C2×C7×C22⋊C4—42no—
82C2×C7×C22⋊C4—42no—
83C2×C42×C7—22no—
84C2×C42×C7—22no—
85C2×C42×C7—22no—
86C2×C42×C7—22no—
87C2×C42×C7—42no—
88C2×C42×C7—42no—
89C2×C42×C7D414yes—
90C7×#95—22no—
91C7×#95—22no—
92C7×#95—22no—
93C7×#95—22no—
94C7×#95—24no—
95C7×#95—24no—
96C7×#95—24no—
97C7×#95—42no—
98C7×#95—42no—
99C7×#95—42no—
100C2×#400C2×C711yescharacteristic, complemented
101C2×#394C2×C711yescharacteristic
102C2×#390C2×C711yescharacteristic
103C2×C4×C4⋊C4C2×C711yescharacteristic, complemented
104#1445C2×C711yescharacteristic, complemented
105#1440C2×C712yescomplemented
106#1439C2×C712yescomplemented
107#1438C2×C711yescharacteristic
108#1437C2×C712yescomplemented
109#1437C2×C712yescomplemented
110#1434C2×C711yescharacteristic, complemented
111C24×C7—22no—
112C24×C7—22no—
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×C7#4114yes—
126C24×C7C2411yescharacteristic
127C2×C7×D4—28no—
128C2×C7×D4—48no—
129C2×C7×D4—48no—
130C2×C7×D4—44no—
131C2×C7×D4—44no—
132C22×C4×C7—21no—
133C22×C4×C7—21no—
134C22×C4×C7—21no—
135C22×C4×C7—21no—
136C22×C4×C7—21no—
137C22×C4×C7—21no—
138C22×C4×C7—22no—
139C22×C4×C7—22no—
140C22×C4×C7—22no—
141C22×C4×C7—21no—
142C22×C4×C7—21no—
143C22×C4×C7—21no—
144C22×C4×C7—21no—
145C22×C4×C7—22no—
146C22×C4×C7—22no—
147C22×C4×C7—21no—
148C22×C4×C7—21no—
149C22×C4×C7—21no—
150C22×C4×C7—21no—
151C22×C4×C7—22no—
152C22×C4×C7—22no—
153C22×C4×C7—22no—
154C22×C4×C7—22no—
155C22×C4×C7—22no—
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×C7C2×D412yes—
179C22×C4×C7C2×D412yes—
180C22×C4×C7C2×D412yes—
181C22×C4×C7C2×D412yes—
182C22×C4×C7C2×D412yes—
183C22×C4×C7C2×D412yes—
184C22×C4×C7#4112yes—
185C22×C4×C7#4112yes—
186C22×C4×C7#4112yes—
187C22×C4×C7#4114yes—
188C22×C4×C7#4112yes—
189C22×C4×C7#4112yes—
190C7×C4⋊C4—28no—
191C7×C4⋊C4—28no—
192C7×C4⋊C4—44no—
193C7×C22⋊C4—48no—
194C7×C22⋊C4—48no—
195C7×C22⋊C4—48no—
196C7×C22⋊C4—48no—
197C7×C22⋊C4—48no—
198C7×C22⋊C4—48no—
199C42×C7—28no—
200C42×C7—44no—
201C42×C7—44no—
202C23×D4C22×C711yescharacteristic
203C22×C4⋊C4C22×C711yescharacteristic
204C22×C4⋊C4C22×C711yescharacteristic
205C22×C4⋊C4C22×C711yescharacteristic
206C22×C22⋊C4C22×C712yes—
207C22×C22⋊C4C22×C712yes—
208C22×C22⋊C4C22×C712yes—
209C22×C22⋊C4C22×C712yes—
210C22×C22⋊C4C22×C712yes—
211C22×C22⋊C4C22×C712yes—
212C22×C42C22×C711yescharacteristic
213C22×C42C22×C711yescharacteristic
214C22×C42C22×C711yescharacteristic
215#400—24no—
216#394—24no—
217#390—24no—
218C4×C4⋊C4—24no—
219C2×#95C22×C711yescharacteristic
220C2×#95C22×C711yescharacteristic
221C2×#95C22×C712yes—
222C2×#95C22×C712yes—
223C2×#95C22×C712yes—
224C2×#95C22×C711yescharacteristic
225C2×#95C22×C711yescharacteristic
226C2×#95C22×C712yes—
227C2×#95C22×C712yes—
228C2×#95C22×C712yes—
229C23×C7—24no—
230C23×C7—24no—
231C23×C7—24no—
232C23×C7—24no—
233C23×C7—24no—
234C23×C7—24no—
235C23×C7—24no—
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—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×C7C22×D411yescharacteristic
265C23×C7C22×D411yescharacteristic
266C23×C7C2×#4111yescharacteristic
267C23×C7C2×#4111yescharacteristic
268C23×C7C2×#4111yescharacteristic
269C23×C7C2×#4111yescharacteristic
270C23×C7C2×#4112yes—
271C23×C7C2×#4111yescharacteristic
272C23×C7C2×#4112yes—
273C23×C7H(5,𝔽2)12yes—
274C23×C7H(5,𝔽2)12yes—
275C7×D4—416no—
276C2×C4×C7—22no—
277C2×C4×C7—22no—
278C2×C4×C7—22no—
279C2×C4×C7—22no—
280C2×C4×C7—22no—
281C2×C4×C7—22no—
282C2×C4×C7—22no—
283C2×C4×C7—22no—
284C2×C4×C7—22no—
285C2×C4×C7—22no—
286C2×C4×C7—24no—
287C2×C4×C7—24no—
288C2×C4×C7—24no—
289C2×C4×C7—24no—
290C2×C4×C7—22no—
291C2×C4×C7—22no—
292C2×C4×C7—22no—
293C2×C4×C7—22no—
294C2×C4×C7—22no—
295C2×C4×C7—22no—
296C2×C4×C7—24no—
297C2×C4×C7—24no—
298C2×C4×C7—24no—
299C2×C4×C7—41no—
300C2×C4×C7—41no—
301C2×C4×C7—41no—
302C2×C4×C7—41no—
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—42no—
310C2×C4×C7—42no—
311C2×C4×C7—42no—
312C2×C4×C7—42no—
313C2×C4×C7—42no—
314C2×C4×C7—42no—
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#12114yes—
332C2×C4×C7#12414yes—
333C2×C4×C7#12414yes—
334C25C23×C712yes—
335C22×D4—24no—
336C22×D4—22no—
337C22×D4—22no—
338C22×D4—22no—
339C22×D4—42no—
340C23×C4C23×C712yes—
341C23×C4C23×C712yes—
342C23×C4C23×C712yes—
343C23×C4C23×C711yescharacteristic
344C23×C4C23×C711yescharacteristic
345C23×C4C23×C711yescharacteristic
346C23×C4C23×C711yescharacteristic
347C23×C4C23×C711yescharacteristic
348C23×C4C23×C711yescharacteristic
349C23×C4C23×C711yescharacteristic
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4C7×D414yes—
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—24no—
371C2×C22⋊C4—42no—
372C2×C22⋊C4—42no—
373C2×C22⋊C4—42no—
374C2×C22⋊C4—42no—
375C2×C22⋊C4—42no—
376C2×C22⋊C4—42no—
377C2×C42—22no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—42no—
382C2×C42—42no—
383C2×C42C7×D414yes—
384#95—22no—
385#95—22no—
386#95—22no—
387#95—22no—
388#95—24no—
389#95—24no—
390#95—24no—
391#95—42no—
392#95—42no—
393#95—42no—
394C22×C7—44no—
395C22×C7—44no—
396C22×C7—44no—
397C22×C7—44no—
398C22×C7—44no—
399C22×C7—44no—
400C22×C7—44no—
401C22×C7—82no—
402C22×C7—82no—
403C22×C7—82no—
404C22×C7—82no—
405C22×C7—82no—
406C22×C7—82no—
407C22×C7—82no—
408C22×C7—82no—
409C22×C7C2×#12111yescharacteristic
410C22×C7#52511yescharacteristic
411C22×C7#52511yescharacteristic
412C22×C7#52511yescharacteristic
413C22×C7C2×#12411yescharacteristic
414C22×C7C2×#12411yescharacteristic
415C22×C7#52911yescharacteristic
416C22×C7#52911yescharacteristic
417C22×C7#52912yes—
418C22×C7#52912yes—
419C22×C7#53211yescharacteristic
420C22×C7#53411yescharacteristic
421C22×C7#53511yescharacteristic
422C22×C7#53812yes—
423C22×C7#54012yes—
424C22×C7#54612yes—
425C22×C7#55012yes—
426C22×C7#55112yes—
427C22×C7#55112yes—
428C22×C7#55312yes—
429C22×C7#55312yes—
430C22×C7#55312yes—
431C22×C7#55912yes—
432C4×C7—24no—
433C4×C7—24no—
434C4×C7—24no—
435C4×C7—42no—
436C4×C7—42no—
437C4×C7—42no—
438C4×C7—42no—
439C4×C7—82no—
440C4×C7—82no—
441C4×C7—82no—
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24C7×#4114yes—
457C24C24×C711yescharacteristic
458C2×D4—28no—
459C2×D4—48no—
460C2×D4—48no—
461C2×D4—44no—
462C2×D4—44no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
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—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×C4C2×C7×D412yes—
510C22×C4C2×C7×D412yes—
511C22×C4C2×C7×D412yes—
512C22×C4C2×C7×D412yes—
513C22×C4C2×C7×D412yes—
514C22×C4C2×C7×D412yes—
515C22×C4C7×#4112yes—
516C22×C4C7×#4112yes—
517C22×C4C7×#4112yes—
518C22×C4C7×#4114yes—
519C22×C4C7×#4112yes—
520C22×C4C7×#4112yes—
521C4⋊C4—28no—
522C4⋊C4—28no—
523C4⋊C4—44no—
524C22⋊C4—48no—
525C22⋊C4—48no—
526C22⋊C4—48no—
527C22⋊C4—48no—
528C22⋊C4—48no—
529C22⋊C4—48no—
530C42—28no—
531C42—44no—
532C42—44no—
533C2×C7—84no—
534C2×C7#239811yescharacteristic
535C2×C7#249012yes—
536C2×C7#251612yes—
537C2×C7#253411yescharacteristic
538C2×C7#254811yescharacteristic
539C2×C7#255412yes—
540C2×C7#259111yescharacteristic
541C2×C7#259512yes—
542C2×C7#259811yescharacteristic
543C2×C7#263511yescharacteristic
544C2×C7#285011yescharacteristic
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
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—
580C23C22×C7×D411yescharacteristic
581C23C22×C7×D411yescharacteristic
582C23C2×C7×#4111yescharacteristic
583C23C2×C7×#4111yescharacteristic
584C23C2×C7×#4111yescharacteristic
585C23C2×C7×#4111yescharacteristic
586C23C2×C7×#4112yes—
587C23C2×C7×#4111yescharacteristic
588C23C2×C7×#4112yes—
589C23C7×H(5,𝔽2)12yes—
590C23C7×H(5,𝔽2)12yes—
591D4—416no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
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—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
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×C4C7×#12114yes—
648C2×C4C7×#12414yes—
649C2×C4C7×#12414yes—
650C7#1510711yescharacteristic, direct product factor, Sylow
651C22—44no—
652C22—44no—
653C22—44no—
654C22—44no—
655C22—44no—
656C22—44no—
657C22—44no—
658C22—82no—
659C22—82no—
660C22—82no—
661C22—82no—
662C22—82no—
663C22—82no—
664C22—82no—
665C22—82no—
666C22C2×C7×#12111yescharacteristic
667C22C7×#52511yescharacteristic
668C22C7×#52511yescharacteristic
669C22C7×#52511yescharacteristic
670C22C2×C7×#12411yescharacteristic
671C22C2×C7×#12411yescharacteristic
672C22C7×#52912yes—
673C22C7×#52912yes—
674C22C7×#52911yescharacteristic
675C22C7×#52911yescharacteristic
676C22C7×#53211yescharacteristic
677C22C7×#53411yescharacteristic
678C22C7×#53511yescharacteristic
679C22C7×#53812yes—
680C22C7×#54012yes—
681C22C7×#54612yes—
682C22C7×#55012yes—
683C22C7×#55112yes—
684C22C7×#55112yes—
685C22C7×#55312yes—
686C22C7×#55312yes—
687C22C7×#55312yes—
688C22C7×#55912yes—
689C4—24no—
690C4—24no—
691C4—24no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—42no—
696C4—82no—
697C4—82no—
698C4—82no—
699C2—84no—
700C2C7×#239811yescharacteristic
701C2C7×#249012yes—
702C2C7×#251612yes—
703C2C7×#253411yescharacteristic
704C2C7×#254811yescharacteristic
705C2C7×#255412yes—
706C2C7×#259111yescharacteristic
707C2C7×#259512yes—
708C2C7×#259811yescharacteristic
709C2C7×#263511yescharacteristic
710C2C7×#285011yescharacteristic
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. C2×C7×#400C2semidirect
4. C2×C4×C7×C4⋊C4C2semidirect
5. C7×#1445C2semidirect
6. C7×#1440C2semidirect
7. C7×#1439C2semidirect
9. C7×#1437C2semidirect
10. C7×#1437C2semidirect
11. C7×#1434C2semidirect
39. #15107C7direct (N × H)
100. C2×#400C2×C7semidirect
103. C2×C4×C4⋊C4C2×C7semidirect
104. #1445C2×C7semidirect
105. #1440C2×C7semidirect
106. #1439C2×C7semidirect
108. #1437C2×C7semidirect
109. #1437C2×C7semidirect
110. #1434C2×C7semidirect
650. C7#15107direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#4002
C2×C7×#3942
C2×C7×#3902
C2×C4×C7×C4⋊C42
C7×#14452
C7×#14402
C7×#14392
C7×#14382
C7×#14372
C7×#14342
#151077