Finite Group Databasebeta

← C7×#23392 #13200608

Subgroups — C7×#23392 #13200608

Order 1792.

2170 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×#137C211yesmaximal, characteristic, complemented
2C2×C7×#525C211yesmaximal, characteristic
3C22×C7×C22⋊Q8C211yesmaximal, characteristic, complemented
4C2×C7×#417C211yesmaximal, characteristic, complemented
5C2×C7×#419C211yesmaximal, characteristic, complemented
6C2×C7×#407C211yesmaximal, characteristic, complemented
7C7×#2001C214yesmaximal, complemented
8C7×#2000C214yesmaximal, complemented
9C7×#1736C211yesmaximal, characteristic, complemented
10C22×C7×#41C2211yescharacteristic
11C23×C7×Q8C2211yescharacteristic
12C24×C4×C7C2211yescharacteristic
13C2×C7×#137—24no—
14C2×C7×#137—24no—
15C2×C7×#137—24no—
16C22×C7×Q16C2212yescomplemented
17C22×C7×SD16C2212yescomplemented
18C22×C7×M16C2211yescharacteristic
19C22×C7×M16C2211yescharacteristic
20C7×#525—24no—
21C7×#525—24no—
22C2×C7×#123—21no—
23C2×C7×C22⋊Q8—24no—
24C2×C7×C22⋊Q8—22no—
25C2×C7×C22⋊Q8—24no—
26C2×C7×C22⋊Q8C2214yes—
27C2×C7×C22⋊Q8C2212yes—
28C2×C7×#121C2212yes—
29C2×C7×#120—21no—
30C2×C4×C7×D4—22no—
31C2×C7×#117C2211yescharacteristic
32C22×C7×C4⋊C4—21no—
33C22×C7×C4⋊C4C2211yescharacteristic
34C22×C7×C22⋊C4—21no—
35C7×#419—24no—
36C7×#417—24no—
37C2×C7×#103C2214yescomplemented
38C2×C7×#103C2212yescomplemented
39C2×C7×#102C2212yescomplemented
40C7×#407—24no—
41C2×C7×C22⋊C8C2214yes—
42C7×#340C2214yescomplemented
43#23392C711yesmaximal, characteristic, direct product factor, Sylow
44C25×C7D411yescharacteristic
45C2×C7×#41—22no—
46C2×C7×#41—22no—
47C2×C7×#41—22no—
48C2×C7×#41—22no—
49C2×C7×#41—22no—
50C2×C7×#41D414yes—
51C22×C7×Q8—22no—
52C22×C7×Q8—21no—
53C22×C7×Q8—22no—
54C22×C7×Q8—22no—
55C22×C7×Q8—22no—
56C22×C7×Q8—22no—
57C22×C7×Q8D414yescomplemented
58C22×C7×Q8C2312yes—
59C22×C7×Q8C2311yescharacteristic
60C22×C7×D4—21no—
61C22×C7×D4—22no—
62C22×C7×D4C2311yescharacteristic
63C23×C4×C7—21no—
64C23×C4×C7—21no—
65C23×C4×C7—21no—
66C23×C4×C7—22no—
67C23×C4×C7—22no—
68C23×C4×C7—22no—
69C23×C4×C7—22no—
70C23×C4×C7—22no—
71C23×C4×C7—22no—
72C23×C4×C7D411yescharacteristic
73C23×C4×C7D412yes—
74C23×C4×C7C2312yes—
75C23×C4×C7C2311yescharacteristic
76C7×#137—232no—
77C2×C7×Q16—24no—
78C2×C7×Q16—24no—
79C2×C7×Q16—24no—
80C2×C7×SD16—24no—
81C2×C7×SD16—24no—
82C2×C7×SD16—24no—
83C2×C7×M16—22no—
84C2×C7×M16—22no—
85C2×C7×M16—22no—
86C2×C7×M16—22no—
87C2×C7×M16—22no—
88C2×C7×M16D414yescomplemented
89C22×C7×C8C2312yes—
90C22×C7×C8C2312yes—
91C7×#123—28no—
92C7×C22⋊Q8—216no—
93C7×C22⋊Q8—28no—
94C7×C22⋊Q8—24no—
95C7×C22⋊Q8—28no—
96C7×C22⋊Q8—24no—
97C7×#121—24no—
98C7×#121—24no—
99C7×#120—28no—
100C4×C7×D4—216no—
101C7×#117—22no—
102C7×#117D414yes—
103C2×C7×C4⋊C4—28no—
104C2×C7×C4⋊C4—24no—
105C2×C7×C4⋊C4—21no—
106C2×C7×C4⋊C4—22no—
107C2×C7×C4⋊C4—22no—
108C2×C7×C4⋊C4D414yescomplemented
109C2×C7×C4⋊C4C2312yes—
110C2×C7×C4⋊C4C2312yes—
111C2×C7×C22⋊C4—28no—
112C2×C7×C22⋊C4—24no—
113C2×C7×C22⋊C4—21no—
114C2×C7×C22⋊C4—22no—
115C2×C7×C22⋊C4—22no—
116C2×C42×C7—21no—
117C7×#103—24no—
118C7×#103—28no—
119C7×#102—24no—
120C7×C22⋊C8—28no—
121C22×#137C2×C711yescharacteristic, complemented
122C2×#525C2×C711yescharacteristic
123C22×C22⋊Q8C2×C711yescharacteristic, complemented
124C2×#417C2×C711yescharacteristic, complemented
125C2×#419C2×C711yescharacteristic, complemented
126C2×#407C2×C711yescharacteristic, complemented
127#2001C2×C714yescomplemented
128#2000C2×C714yescomplemented
129#1736C2×C711yescharacteristic, complemented
130C24×C7—22no—
131C24×C7—24no—
132C24×C7—22no—
133C24×C7—22no—
134C24×C7—21no—
135C24×C7—42no—
136C24×C7C2×D412yes—
137C24×C7C2×D411yescharacteristic
138C7×#41—28no—
139C7×#41—28no—
140C7×#41—44no—
141C7×#41—44no—
142C2×C7×Q8—24no—
143C2×C7×Q8—22no—
144C2×C7×Q8—21no—
145C2×C7×Q8—28no—
146C2×C7×Q8—28no—
147C2×C7×Q8—22no—
148C2×C7×Q8—21no—
149C2×C7×Q8—22no—
150C2×C7×Q8—22no—
151C2×C7×Q8—21no—
152C2×C7×Q8—21no—
153C2×C7×Q8—22no—
154C2×C7×Q8—21no—
155C2×C7×Q8—42no—
156C2×C7×Q8—42no—
157C2×C7×Q8—44no—
158C2×C7×Q8—44no—
159C2×C7×Q8C2×D414yes—
160C2×C7×Q8C2×D412yes—
161C2×C7×D4—28no—
162C2×C7×D4—24no—
163C2×C7×D4—21no—
164C2×C7×D4—21no—
165C2×C7×D4—21no—
166C2×C7×D4—21no—
167C2×C7×D4—21no—
168C2×C7×D4—44no—
169C2×C7×D4—42no—
170C2×C7×D4—42no—
171C2×C7×D4—44no—
172C2×C7×D4C2×D412yes—
173C22×C4×C7—24no—
174C22×C4×C7—24no—
175C22×C4×C7—22no—
176C22×C4×C7—22no—
177C22×C4×C7—22no—
178C22×C4×C7—22no—
179C22×C4×C7—22no—
180C22×C4×C7—21no—
181C22×C4×C7—22no—
182C22×C4×C7—24no—
183C22×C4×C7—24no—
184C22×C4×C7—24no—
185C22×C4×C7—24no—
186C22×C4×C7—22no—
187C22×C4×C7—22no—
188C22×C4×C7—22no—
189C22×C4×C7—22no—
190C22×C4×C7—22no—
191C22×C4×C7—22no—
192C22×C4×C7—44no—
193C22×C4×C7—42no—
194C22×C4×C7—42no—
195C22×C4×C7—44no—
196C22×C4×C7—42no—
197C22×C4×C7—44no—
198C22×C4×C7—44no—
199C22×C4×C7—42no—
200C22×C4×C7—44no—
201C22×C4×C7C2×D412yes—
202C22×C4×C7C2×D411yescharacteristic
203C22×C4×C7C2×D412yes—
204C22×C4×C7C2×D412yes—
205C22×C4×C7C2×D412yes—
206C22×C4×C7C2×D412yes—
207C22×C4×C7C2×D412yes—
208C22×C4×C7#4112yes—
209C22×C4×C7C2411yescharacteristic
210C7×Q16—216no—
211C7×SD16—216no—
212C7×M16—28no—
213C7×M16—44no—
214C2×C7×C8—22no—
215C2×C7×C8—22no—
216C2×C7×C8—22no—
217C2×C7×C8—22no—
218C2×C7×C8—22no—
219C2×C7×C8C2×D414yes—
220C7×C4⋊C4—216no—
221C7×C4⋊C4—28no—
222C7×C4⋊C4—24no—
223C7×C4⋊C4—22no—
224C7×C4⋊C4—22no—
225C7×C4⋊C4C2×D414yes—
226C7×C4⋊C4C2×D414yes—
227C7×C22⋊C4—216no—
228C7×C22⋊C4—28no—
229C7×C22⋊C4—28no—
230C7×C22⋊C4—24no—
231C42×C7—24no—
232C22×#41C22×C711yescharacteristic
233C23×Q8C22×C711yescharacteristic
234C24×C4C22×C711yescharacteristic
235C2×#137—24no—
236C2×#137—24no—
237C2×#137—24no—
238C22×Q16C22×C712yescomplemented
239C22×SD16C22×C712yescomplemented
240C22×M16C22×C711yescharacteristic
241C22×M16C22×C711yescharacteristic
242#525—24no—
243#525—24no—
244C2×#123—21no—
245C2×C22⋊Q8—24no—
246C2×C22⋊Q8—22no—
247C2×C22⋊Q8—24no—
248C2×C22⋊Q8C22×C714yes—
249C2×C22⋊Q8C22×C712yes—
250C2×#121C22×C712yes—
251C2×#120—21no—
252C2×C4×D4—22no—
253C2×#117C22×C711yescharacteristic
254C22×C4⋊C4—21no—
255C22×C4⋊C4C22×C711yescharacteristic
256C22×C22⋊C4—21no—
257#419—24no—
258#417—24no—
259C2×#103C22×C714yescomplemented
260C2×#103C22×C712yescomplemented
261C2×#102C22×C712yescomplemented
262#407—24no—
263C2×C22⋊C8C22×C714yes—
264#340C22×C714yescomplemented
265C23×C7—22no—
266C23×C7—22no—
267C23×C7—28no—
268C23×C7—22no—
269C23×C7—22no—
270C23×C7—22no—
271C23×C7—22no—
272C23×C7—22no—
273C23×C7—22no—
274C23×C7—22no—
275C23×C7—48no—
276C23×C7—48no—
277C23×C7—44no—
278C23×C7—44no—
279C23×C7—41no—
280C23×C7—41no—
281C23×C7—42no—
282C23×C7—42no—
283C23×C7#12012yes—
284C23×C7#12012yes—
285C23×C7#12112yes—
286C23×C7#13714yescomplemented
287C23×C7C22×D411yescharacteristic
288C7×Q8—24no—
289C7×Q8—22no—
290C7×Q8—24no—
291C7×Q8—22no—
292C7×Q8—42no—
293C7×Q8—41no—
294C7×Q8—42no—
295C7×Q8—41no—
296C7×Q8—48no—
297C7×D4—22no—
298C7×D4—22no—
299C7×D4—416no—
300C7×D4—48no—
301C7×D4—41no—
302C7×D4—41no—
303C2×C4×C7—24no—
304C2×C4×C7—24no—
305C2×C4×C7—22no—
306C2×C4×C7—22no—
307C2×C4×C7—24no—
308C2×C4×C7—22no—
309C2×C4×C7—22no—
310C2×C4×C7—48no—
311C2×C4×C7—41no—
312C2×C4×C7—42no—
313C2×C4×C7—41no—
314C2×C4×C7—42no—
315C2×C4×C7—42no—
316C2×C4×C7—44no—
317C2×C4×C7—42no—
318C2×C4×C7—44no—
319C2×C4×C7—48no—
320C2×C4×C7—42no—
321C2×C4×C7—42no—
322C2×C4×C7—42no—
323C2×C4×C7—42no—
324C2×C4×C7—48no—
325C2×C4×C7—48no—
326C2×C4×C7#12014yes—
327C2×C4×C7#12012yes—
328C2×C4×C7#12012yes—
329C2×C4×C7#12114yes—
330C2×C4×C7#12114yes—
331C2×C4×C7#12112yes—
332C2×C4×C7#12714yes—
333C2×C4×C7C22×D411yescharacteristic
334C2×C4×C7C22×D411yescharacteristic
335C2×C4×C7C22×D411yescharacteristic
336C2×C4×C7C22×D411yescharacteristic
337C2×C4×C7C22×D411yescharacteristic
338C2×C4×C7C2×#4111yescharacteristic
339C7×C8—24no—
340C7×C8—42no—
341C25C7×D411yescharacteristic
342C2×#41—22no—
343C2×#41—22no—
344C2×#41—22no—
345C2×#41—22no—
346C2×#41—22no—
347C2×#41C7×D414yes—
348C22×Q8—22no—
349C22×Q8—21no—
350C22×Q8—22no—
351C22×Q8—22no—
352C22×Q8—22no—
353C22×Q8—22no—
354C22×Q8C7×D414yescomplemented
355C22×Q8C23×C712yes—
356C22×Q8C23×C711yescharacteristic
357C22×D4—22no—
358C22×D4—21no—
359C22×D4C23×C711yescharacteristic
360C23×C4—21no—
361C23×C4—21no—
362C23×C4—21no—
363C23×C4—22no—
364C23×C4—22no—
365C23×C4—22no—
366C23×C4—22no—
367C23×C4—22no—
368C23×C4—22no—
369C23×C4C7×D411yescharacteristic
370C23×C4C7×D412yes—
371C23×C4C23×C712yes—
372C23×C4C23×C711yescharacteristic
373#137—232no—
374C2×Q16—24no—
375C2×Q16—24no—
376C2×Q16—24no—
377C2×SD16—24no—
378C2×SD16—24no—
379C2×SD16—24no—
380C2×M16—22no—
381C2×M16—22no—
382C2×M16—22no—
383C2×M16—22no—
384C2×M16—22no—
385C2×M16C7×D414yescomplemented
386C22×C8C23×C712yes—
387C22×C8C23×C712yes—
388#123—28no—
389C22⋊Q8—216no—
390C22⋊Q8—28no—
391C22⋊Q8—24no—
392C22⋊Q8—28no—
393C22⋊Q8—24no—
394#121—24no—
395#121—24no—
396#120—28no—
397C4×D4—216no—
398#117—22no—
399#117C7×D414yes—
400C2×C4⋊C4—28no—
401C2×C4⋊C4—24no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4—22no—
405C2×C4⋊C4C7×D414yescomplemented
406C2×C4⋊C4C23×C712yes—
407C2×C4⋊C4C23×C712yes—
408C2×C22⋊C4—28no—
409C2×C22⋊C4—24no—
410C2×C22⋊C4—21no—
411C2×C22⋊C4—22no—
412C2×C22⋊C4—22no—
413C2×C42—21no—
414#103—24no—
415#103—28no—
416#102—24no—
417C22⋊C8—28no—
418C22×C7—22no—
419C22×C7—22no—
420C22×C7—24no—
421C22×C7—24no—
422C22×C7—24no—
423C22×C7—24no—
424C22×C7—24no—
425C22×C7—416no—
426C22×C7—42no—
427C22×C7—42no—
428C22×C7—42no—
429C22×C7—42no—
430C22×C7—42no—
431C22×C7—44no—
432C22×C7—81no—
433C22×C7—81no—
434C22×C7—82no—
435C22×C7#39214yes—
436C22×C7C2×#12011yescharacteristic
437C22×C7C2×#12011yescharacteristic
438C22×C7C2×#12111yescharacteristic
439C22×C7C2×#13712yes—
440C22×C7#57512yes—
441C4×C7—42no—
442C4×C7—42no—
443C4×C7—44no—
444C4×C7—44no—
445C4×C7—44no—
446C4×C7#39214yes—
447C4×C7C2×#12011yescharacteristic
448C4×C7C2×#12111yescharacteristic
449C4×C7C2×#12111yescharacteristic
450C4×C7C2×#12711yescharacteristic
451C24—22no—
452C24—24no—
453C24—22no—
454C24—22no—
455C24—21no—
456C24—42no—
457C24C2×C7×D412yes—
458C24C2×C7×D411yescharacteristic
459#41—28no—
460#41—28no—
461#41—44no—
462#41—44no—
463C2×Q8—24no—
464C2×Q8—22no—
465C2×Q8—21no—
466C2×Q8—28no—
467C2×Q8—28no—
468C2×Q8—22no—
469C2×Q8—21no—
470C2×Q8—22no—
471C2×Q8—22no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—22no—
475C2×Q8—21no—
476C2×Q8—42no—
477C2×Q8—42no—
478C2×Q8—44no—
479C2×Q8—44no—
480C2×Q8C2×C7×D414yes—
481C2×Q8C2×C7×D412yes—
482C2×D4—28no—
483C2×D4—24no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—44no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—44no—
493C2×D4C2×C7×D412yes—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—44no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—44no—
517C22×C4—42no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—42no—
521C22×C4—44no—
522C22×C4C2×C7×D412yes—
523C22×C4C2×C7×D411yescharacteristic
524C22×C4C2×C7×D412yes—
525C22×C4C2×C7×D412yes—
526C22×C4C2×C7×D412yes—
527C22×C4C2×C7×D412yes—
528C22×C4C2×C7×D412yes—
529C22×C4C7×#4112yes—
530C22×C4C24×C711yescharacteristic
531Q16—216no—
532SD16—216no—
533M16—28no—
534M16—44no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8C2×C7×D414yes—
541C4⋊C4—216no—
542C4⋊C4—28no—
543C4⋊C4—24no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4C2×C7×D414yes—
547C4⋊C4C2×C7×D414yes—
548C22⋊C4—216no—
549C22⋊C4—28no—
550C22⋊C4—28no—
551C22⋊C4—24no—
552C42—24no—
553C2×C7—24no—
554C2×C7—44no—
555C2×C7—82no—
556C2×C7C2×#39211yescharacteristic
557C2×C7#300411yescharacteristic
558C2×C7#300511yescharacteristic
559C2×C7#300712yes—
560C2×C7#305612yes—
561C23—22no—
562C23—22no—
563C23—28no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—48no—
572C23—48no—
573C23—44no—
574C23—44no—
575C23—41no—
576C23—41no—
577C23—42no—
578C23—42no—
579C23C7×#12012yes—
580C23C7×#12012yes—
581C23C7×#12112yes—
582C23C7×#13714yescomplemented
583C23C22×C7×D411yescharacteristic
584Q8—24no—
585Q8—22no—
586Q8—24no—
587Q8—22no—
588Q8—42no—
589Q8—41no—
590Q8—48no—
591Q8—42no—
592Q8—41no—
593D4—22no—
594D4—22no—
595D4—416no—
596D4—48no—
597D4—41no—
598D4—41no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—48no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—42no—
611C2×C4—44no—
612C2×C4—48no—
613C2×C4—42no—
614C2×C4—44no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—48no—
621C2×C4—42no—
622C2×C4C7×#12014yes—
623C2×C4C7×#12012yes—
624C2×C4C7×#12012yes—
625C2×C4C7×#12114yes—
626C2×C4C7×#12114yes—
627C2×C4C7×#12112yes—
628C2×C4C7×#12714yes—
629C2×C4C22×C7×D411yescharacteristic
630C2×C4C22×C7×D411yescharacteristic
631C2×C4C22×C7×D411yescharacteristic
632C2×C4C22×C7×D411yescharacteristic
633C2×C4C22×C7×D411yescharacteristic
634C2×C4C2×C7×#4111yescharacteristic
635C8—24no—
636C8—42no—
637C7#2339211yescharacteristic, direct product factor, Sylow
638C22—22no—
639C22—22no—
640C22—24no—
641C22—24no—
642C22—24no—
643C22—24no—
644C22—24no—
645C22—416no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—44no—
651C22—42no—
652C22—81no—
653C22—81no—
654C22—82no—
655C22C7×#39214yes—
656C22C2×C7×#12011yescharacteristic
657C22C2×C7×#12011yescharacteristic
658C22C2×C7×#12111yescharacteristic
659C22C2×C7×#13712yes—
660C22C7×#57512yes—
661C4—44no—
662C4—44no—
663C4—42no—
664C4—42no—
665C4—44no—
666C4C7×#39214yes—
667C4C2×C7×#12011yescharacteristic
668C4C2×C7×#12111yescharacteristic
669C4C2×C7×#12111yescharacteristic
670C4C2×C7×#12711yescharacteristic
671C2—24no—
672C2—44no—
673C2—82no—
674C2C2×C7×#39211yescharacteristic
675C2C7×#300411yescharacteristic
676C2C7×#300511yescharacteristic
677C2C7×#300712yes—
678C2C7×#305612yes—
subgroupG/H
center, socleC23×C7C22×D4
commutator, Frattini, cosocleC22×C4C24×C7
prime radicalC2×C7×#525C2
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
1. C22×C7×#137C2semidirect
3. C22×C7×C22⋊Q8C2semidirect
4. C2×C7×#417C2semidirect
5. C2×C7×#419C2semidirect
6. C2×C7×#407C2semidirect
7. C7×#2001C2semidirect
8. C7×#2000C2semidirect
9. C7×#1736C2semidirect
16. C22×C7×Q16C22semidirect
17. C22×C7×SD16C22semidirect
37. C2×C7×#103C22semidirect
38. C2×C7×#103C22semidirect
39. C2×C7×#102C22semidirect
42. C7×#340C22semidirect
43. #23392C7direct (N × H)
57. C22×C7×Q8D4semidirect
88. C2×C7×M16D4semidirect
108. C2×C7×C4⋊C4D4semidirect
121. C22×#137C2×C7semidirect
123. C22×C22⋊Q8C2×C7semidirect
124. C2×#417C2×C7semidirect
125. C2×#419C2×C7semidirect
126. C2×#407C2×C7semidirect
127. #2001C2×C7semidirect
128. #2000C2×C7semidirect
129. #1736C2×C7semidirect
238. C22×Q16C22×C7semidirect
239. C22×SD16C22×C7semidirect
259. C2×#103C22×C7semidirect
260. C2×#103C22×C7semidirect
261. C2×#102C22×C7semidirect
264. #340C22×C7semidirect
286. C23×C7#137semidirect
354. C22×Q8C7×D4semidirect
385. C2×M16C7×D4semidirect
405. C2×C4⋊C4C7×D4semidirect
582. C23C7×#137semidirect
637. C7#23392direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C7×#1372
C2×C7×#5252
C22×C7×C22⋊Q82
C2×C7×#4172
C2×C7×#4192
C2×C7×#4072
C7×#20012
C7×#20002
C7×#17362
#233927