Finite Group Databasebeta

← #13321585

Subgroups — #13321585

Order 1792.

1014 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3505C211yesmaximal, characteristic
2#11739781C211yesmaximal, characteristic, complemented
3#11739749C211yesmaximal, characteristic, complemented
4#11729511C212yesmaximal, complemented
5#11729508C212yesmaximal, complemented
6#11729463C212yesmaximal, complemented
7#11729462C212yesmaximal, complemented
8#11729443C211yesmaximal, characteristic, complemented
9#11729442C211yesmaximal, characteristic, complemented
10#11729428C211yesmaximal, characteristic, complemented
11#11729427C211yesmaximal, characteristic, complemented
12C7×#553—22no—
13C7×#553C412yescomplemented
14C7×#552C412yescomplemented
15C7×#551—22no—
16C7×#548C412yescomplemented
17C7×#546C412yescomplemented
18C7×#539—21no—
19C7×#538—21no—
20C7×#534—21no—
21C7×#529C2212yes—
22C7×#525C2212yes—
23C2×C7×C22⋊Q8C2211yescharacteristic
24C2×C7×#121C2211yescharacteristic
25C7×#518—21no—
26C2×C4×C7×D4C2211yescharacteristic
27#89992—21no—
28#89984C2211yescharacteristic, complemented
29#89983C2211yescharacteristic
30C4×C22⋊Dic7C2211yescharacteristic
31C2×C7⋊#95C2211yescharacteristic, complemented
32#89979C2211yescharacteristic
33#89979C2211yescharacteristic
34#89979C2212yescomplemented
35#89784—22no—
36#89784—22no—
37#89753—21no—
38#89723—21no—
39C22⋊C4×Dic7—21no—
40#89709C2211yescharacteristic, complemented
41#89704C2211yescharacteristic, complemented
42#89697C2212yescomplemented
43#89333C2212yescomplemented
44#89333C2212yescomplemented
45#89333C2212yescomplemented
46#89333C2212yescomplemented
47#89332C2212yes—
48#89332C2212yes—
49#89332C2212yes—
50#89332C2212yes—
51#17623—71nomaximal, Sylow
52C2×C7×#41C2×C412yes—
53C22×C7×Q8C2×C411yescharacteristic, complemented
54C22×C7×D4—21no—
55C22×C7×D4C2×C411yescharacteristic, complemented
56C22×C7×D4D411yescharacteristic
57C23×C4×C7C2311yescharacteristic
58C23×C4×C7C2311yescharacteristic
59C23×Dic7—21no—
60C7×#126—22no—
61C7×#126—22no—
62C7×#126—22no—
63C7×#125—22no—
64C7×#125C2×C412yescomplemented
65C7×#124—22no—
66C7×#124C2×C412yescomplemented
67C7×#123—22no—
68C7×#123—22no—
69C7×#123—22no—
70C7×#123—22no—
71C7×#123—22no—
72C7×C22⋊Q8—21no—
73C7×C22⋊Q8—21no—
74C7×C22⋊Q8—22no—
75C7×C22⋊Q8C2×C412yes—
76C7×C22⋊Q8C2×C412yescomplemented
77C7×C22⋊Q8C2312yes—
78C7×#121—22no—
79C7×#121—22no—
80C7×#121—21no—
81C7×#121—21no—
82C7×#121—22no—
83C7×#121C2×C412yes—
84C7×#121C2×C412yescomplemented
85C7×#121C2312yes—
86C7×#120—22no—
87C7×#120—22no—
88C4×C7×Q8C2×C412yescomplemented
89C4×C7×D4—22no—
90C4×C7×D4—22no—
91C4×C7×D4—22no—
92C4×C7×D4—22no—
93C4×C7×D4—22no—
94C4×C7×D4C2×C412yes—
95C4×C7×D4C2×C412yes—
96C4×C7×D4C2×C412yescomplemented
97C4×C7×D4D412yes—
98C4×C7×D4D412yes—
99C7×#117—22no—
100C7×#117—22no—
101C7×#117C2×C412yes—
102C2×C7×C4⋊C4—21no—
103C2×C7×C4⋊C4C2×C411yescharacteristic, complemented
104C2×C7×C4⋊C4C2×C411yescharacteristic, complemented
105C2×C7×C4⋊C4D411yescharacteristic
106C2×C7×C22⋊C4—21no—
107C2×C7×C22⋊C4—21no—
108C2×C7×C22⋊C4—22no—
109C2×C7×C22⋊C4D411yescharacteristic
110C2×C7×C22⋊C4D411yescharacteristic
111C2×C42×C7C2311yescharacteristic
112C2×C22⋊Dic7—21no—
113C2×C22⋊Dic7—21no—
114C2×C22⋊Dic7—21no—
115C2×C4⋊Dic7—21no—
116C2×C4×Dic7—21no—
117C2×C4×Dic7—21no—
118C2×#1136—21no—
119C2×#1136—21no—
120C2×#1136—22no—
121C7⋊#95—21no—
122C7⋊#95—21no—
123C7⋊#95—21no—
124C7⋊#95—21no—
125C7⋊#95—21no—
126C7⋊#95C2311yescharacteristic
127C7⋊#95C2311yescharacteristic
128C7⋊#95C2311yescharacteristic
129C7⋊#95C2311yescharacteristic
130C22⋊(C7⋊C8)—21no—
131C22⋊(C7⋊C8)—21no—
132C22⋊(C7⋊C8)—22no—
133C22⋊(C7⋊C8)C2312yes—
134C22⋊(C7⋊C8)C2312yes—
135C4⋊(C7⋊C8)—22no—
136C4×C7⋊C8—22no—
137#3505D711yescharacteristic
138#2975—71no—
139#2353—71no—
140#1521—72no—
141#1513—72no—
142#1511—71no—
143#1510—71no—
144#1508—71no—
145#1507—71no—
146#1504—72no—
147#1500—72no—
148C24×C7—21no—
149C24×C7C2×D411yescharacteristic
150C24×C7C2×D411yescharacteristic
151C7×#41—82no—
152C2×C7×Q8—21no—
153C2×C7×Q8—81no—
154C2×C7×Q8C22×C412yes—
155C2×C7×D4—22no—
156C2×C7×D4—22no—
157C2×C7×D4—22no—
158C2×C7×D4—22no—
159C2×C7×D4—21no—
160C2×C7×D4—41no—
161C2×C7×D4—41no—
162C2×C7×D4—42no—
163C2×C7×D4—42no—
164C2×C7×D4—81no—
165C2×C7×D4C22⋊C412yes—
166C2×C7×D4C22⋊C412yes—
167C2×C7×D4C22×C412yes—
168C22×C4×C7—21no—
169C22×C4×C7—21no—
170C22×C4×C7—21no—
171C22×C4×C7—22no—
172C22×C4×C7—22no—
173C22×C4×C7—81no—
174C22×C4×C7—81no—
175C22×C4×C7C22×C411yescharacteristic
176C22×C4×C7C22×C411yescharacteristic
177C22×C4×C7C22×C412yes—
178C22×C4×C7C2×D411yescharacteristic
179C22×C4×C7C2×D411yescharacteristic
180C22×C4×C7C2×D411yescharacteristic
181C22×C4×C7C2×D411yescharacteristic
182C22×C4×C7C2×D411yescharacteristic
183C22×C4×C7C2×D411yescharacteristic
184C22×C4×C7C2×D412yes—
185C22×C4×C7C2411yescharacteristic
186C22×Dic7—21no—
187C22×Dic7—21no—
188C22×Dic7—21no—
189C22×Dic7—21no—
190C22×Dic7—42no—
191C22×Dic7—42no—
192C22×Dic7—81no—
193C7×C4⋊C4—22no—
194C7×C4⋊C4—21no—
195C7×C4⋊C4—21no—
196C7×C4⋊C4—22no—
197C7×C4⋊C4—22no—
198C7×C4⋊C4—22no—
199C7×C4⋊C4—22no—
200C7×C4⋊C4—22no—
201C7×C4⋊C4C22⋊C412yes—
202C7×C4⋊C4C22⋊C412yes—
203C7×C4⋊C4C22×C412yes—
204C7×C4⋊C4C22×C412yes—
205C7×C22⋊C4—22no—
206C7×C22⋊C4—22no—
207C7×C22⋊C4—22no—
208C7×C22⋊C4—22no—
209C7×C22⋊C4—22no—
210C7×C22⋊C4—22no—
211C7×C22⋊C4—22no—
212C7×C22⋊C4—22no—
213C7×C22⋊C4—22no—
214C7×C22⋊C4—22no—
215C7×C22⋊C4C22⋊C412yes—
216C7×C22⋊C4C22⋊C412yes—
217C7×C22⋊C4C22⋊C412yes—
218C7×C22⋊C4C22⋊C412yes—
219C42×C7—22no—
220C42×C7—22no—
221C42×C7C22×C412yes—
222C42×C7C2×D412yes—
223C22⋊Dic7—42no—
224C22⋊Dic7—42no—
225C22⋊Dic7—81no—
226C4⋊Dic7—81no—
227C4×Dic7—42no—
228C4×Dic7—81no—
229#1136—81no—
230#1136—81no—
231#1136—82no—
232C2×C7⋊C8—22no—
233C2×C7⋊C8—22no—
234#553—22no—
235#553Dic712yescomplemented
236#552Dic712yescomplemented
237#551—22no—
238#548Dic712yescomplemented
239#546Dic712yescomplemented
240#539—21no—
241#538—21no—
242#534—21no—
243#529C2×D712yes—
244#525C2×D712yes—
245C2×C22⋊Q8C2×D711yescharacteristic
246C2×#121C2×D711yescharacteristic
247#518—21no—
248C2×C4×D4C2×D711yescharacteristic
249#436—142no—
250#436—142no—
251#431—72no—
252#407—71no—
253#407—71no—
254#407—72no—
255#388—141no—
256#387—141no—
257#386—141no—
258#383—71no—
259#381—71no—
260#380—71no—
261C4×C22⋊C4—71no—
262C4×C22⋊C4—141no—
263#376—71no—
264C2×#95—71no—
265#328—72no—
266#328—72no—
267#328—72no—
268#328—72no—
269#327—72no—
270#327—72no—
271#327—72no—
272#327—72no—
273C23×C7—21no—
274C23×C7—21no—
275C23×C7—21no—
276C23×C7—21no—
277C23×C7—22no—
278C23×C7—41no—
279C23×C7—41no—
280C23×C7—41no—
281C23×C7—41no—
282C23×C7—42no—
283C23×C7—81no—
284C23×C7—81no—
285C23×C7C2×C22⋊C411yescharacteristic
286C23×C7C2×C22⋊C412yes—
287C23×C7C2×C22⋊C411yescharacteristic
288C23×C7C22×D411yescharacteristic
289C7×Q8—42no—
290C7×Q8—81no—
291C7×D4—42no—
292C7×D4—42no—
293C7×D4—42no—
294C7×D4—44no—
295C7×D4—42no—
296C7×D4—42no—
297C7×D4—81no—
298C7×D4—82no—
299C7×D4—82no—
300C2×C4×C7—21no—
301C2×C4×C7—21no—
302C2×C4×C7—22no—
303C2×C4×C7—22no—
304C2×C4×C7—22no—
305C2×C4×C7—42no—
306C2×C4×C7—41no—
307C2×C4×C7—41no—
308C2×C4×C7—41no—
309C2×C4×C7—41no—
310C2×C4×C7—41no—
311C2×C4×C7—41no—
312C2×C4×C7—41no—
313C2×C4×C7—41no—
314C2×C4×C7—42no—
315C2×C4×C7—42no—
316C2×C4×C7—82no—
317C2×C4×C7—82no—
318C2×C4×C7—81no—
319C2×C4×C7—81no—
320C2×C4×C7C2×C22⋊C412yes—
321C2×C4×C7C2×C22⋊C412yes—
322C2×C4×C7C2×C22⋊C412yes—
323C2×C4×C7C2×C22⋊C411yescharacteristic
324C2×C4×C7C2×C22⋊C411yescharacteristic
325C2×C4×C7C23×C411yescharacteristic
326C2×C4×C7C22×D411yescharacteristic
327C2×Dic7—22no—
328C2×Dic7—41no—
329C2×Dic7—41no—
330C2×Dic7—41no—
331C2×Dic7—41no—
332C2×Dic7—41no—
333C2×Dic7—41no—
334C2×Dic7—41no—
335C2×Dic7—41no—
336C2×Dic7—41no—
337C2×Dic7—41no—
338C2×Dic7—41no—
339C2×Dic7—84no—
340C7⋊C8—42no—
341C7⋊C8—42no—
342C2×#41C2×Dic712yes—
343C22×Q8C2×Dic711yescharacteristic, complemented
344C22×D4—21no—
345C22×D4C2×Dic711yescharacteristic, complemented
346C22×D4C22⋊D711yescharacteristic
347C23×C4—141no—
348C23×C4C22×D711yescharacteristic
349C23×C4C22×D711yescharacteristic
350C2×M16—141no—
351C2×M16—141no—
352C2×M16—142no—
353#126—22no—
354#126—22no—
355#126—22no—
356#125—22no—
357#125C2×Dic712yescomplemented
358#124—22no—
359#124C2×Dic712yescomplemented
360#123—22no—
361#123—22no—
362#123—22no—
363#123—22no—
364#123—22no—
365C22⋊Q8—21no—
366C22⋊Q8—21no—
367C22⋊Q8—22no—
368C22⋊Q8C2×Dic712yes—
369C22⋊Q8C2×Dic712yescomplemented
370C22⋊Q8C22×D712yes—
371#121—22no—
372#121—22no—
373#121—21no—
374#121—21no—
375#121—22no—
376#121C2×Dic712yes—
377#121C2×Dic712yescomplemented
378#121C22×D712yes—
379#120—22no—
380#120—22no—
381C4×Q8C2×Dic712yescomplemented
382C4×D4—22no—
383C4×D4—22no—
384C4×D4—22no—
385C4×D4—22no—
386C4×D4—22no—
387C4×D4C2×Dic712yes—
388C4×D4C2×Dic712yes—
389C4×D4C2×Dic712yescomplemented
390C4×D4C22⋊D712yes—
391C4×D4C22⋊D712yes—
392#117—22no—
393#117—22no—
394#117C2×Dic712yes—
395C2×C4⋊C4—21no—
396C2×C4⋊C4—141no—
397C2×C4⋊C4C2×Dic711yescharacteristic, complemented
398C2×C4⋊C4C2×Dic711yescharacteristic, complemented
399C2×C4⋊C4C22⋊D711yescharacteristic
400C2×C22⋊C4—21no—
401C2×C22⋊C4—21no—
402C2×C22⋊C4—22no—
403C2×C22⋊C4—141no—
404C2×C22⋊C4—141no—
405C2×C22⋊C4—141no—
406C2×C22⋊C4C22⋊D711yescharacteristic
407C2×C22⋊C4C22⋊D711yescharacteristic
408C2×C42—141no—
409C2×C42—141no—
410C2×C42C22×D711yescharacteristic
411C4⋊C8—142no—
412C22⋊C8—72no—
413C22⋊C8—72no—
414C22⋊C8—141no—
415C22⋊C8—141no—
416C22⋊C8—142no—
417C4×C8—142no—
418#95—71no—
419#95—71no—
420#95—71no—
421#95—71no—
422#95—141no—
423#95—141no—
424#95—141no—
425#95—141no—
426#95—141no—
427C22×C7—21no—
428C22×C7—21no—
429C22×C7—21no—
430C22×C7—22no—
431C22×C7—21no—
432C22×C7—21no—
433C22×C7—21no—
434C22×C7—22no—
435C22×C7—21no—
436C22×C7—22no—
437C22×C7—21no—
438C22×C7—42no—
439C22×C7—42no—
440C22×C7—42no—
441C22×C7—42no—
442C22×C7—42no—
443C22×C7—81no—
444C22×C7—81no—
445C22×C7—162no—
446C22×C7C22×C22⋊C411yescharacteristic
447C22×C7#57511yescharacteristic
448C22×C7#57511yescharacteristic
449C4×C7—21no—
450C4×C7—21no—
451C4×C7—22no—
452C4×C7—21no—
453C4×C7—21no—
454C4×C7—22no—
455C4×C7—22no—
456C4×C7—42no—
457C4×C7—42no—
458C4×C7—42no—
459Dic7—42no—
460Dic7—81no—
461Dic7—81no—
462Dic7—81no—
463C24—21no—
464C24C2×C22⋊D711yescharacteristic
465C24C2×C22⋊D711yescharacteristic
466#41—82no—
467C2×Q8—21no—
468C2×Q8—81no—
469C2×Q8C22×Dic712yes—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—22no—
474C2×D4—21no—
475C2×D4—41no—
476C2×D4—41no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4—81no—
480C2×D4C22⋊Dic712yes—
481C2×D4C22⋊Dic712yes—
482C2×D4C22×Dic712yes—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—81no—
489C22×C4—81no—
490C22×C4—141no—
491C22×C4—141no—
492C22×C4—141no—
493C22×C4—141no—
494C22×C4—282no—
495C22×C4—282no—
496C22×C4—561no—
497C22×C4C22×Dic711yescharacteristic
498C22×C4C22×Dic711yescharacteristic
499C22×C4C22×Dic712yes—
500C22×C4C2×C22⋊D711yescharacteristic
501C22×C4C2×C22⋊D711yescharacteristic
502C22×C4C2×C22⋊D711yescharacteristic
503C22×C4C2×C22⋊D711yescharacteristic
504C22×C4C2×C22⋊D711yescharacteristic
505C22×C4C2×C22⋊D711yescharacteristic
506C22×C4C2×C22⋊D712yes—
507C22×C4C23×D711yescharacteristic
508M16—562no—
509M16—561no—
510M16—561no—
511C2×C8—142no—
512C2×C8—142no—
513C4⋊C4—22no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—22no—
517C4⋊C4—22no—
518C4⋊C4—22no—
519C4⋊C4—22no—
520C4⋊C4—22no—
521C4⋊C4—561no—
522C4⋊C4C22⋊Dic712yes—
523C4⋊C4C22⋊Dic712yes—
524C4⋊C4C22×Dic712yes—
525C4⋊C4C22×Dic712yes—
526C22⋊C4—22no—
527C22⋊C4—22no—
528C22⋊C4—22no—
529C22⋊C4—22no—
530C22⋊C4—22no—
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—22no—
534C22⋊C4—22no—
535C22⋊C4—22no—
536C22⋊C4—282no—
537C22⋊C4—282no—
538C22⋊C4—561no—
539C22⋊C4C22⋊Dic712yes—
540C22⋊C4C22⋊Dic712yes—
541C22⋊C4C22⋊Dic712yes—
542C22⋊C4C22⋊Dic712yes—
543C42—22no—
544C42—22no—
545C42—282no—
546C42—561no—
547C42C22×Dic712yes—
548C42C2×C22⋊D712yes—
549C2×C7—21no—
550C2×C7—21no—
551C2×C7—42no—
552C2×C7—41no—
553C2×C7—41no—
554C2×C7—82no—
555C2×C7#288311yescharacteristic
556C2×C7#289611yescharacteristic
557C2×C7#290111yescharacteristic
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—22no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—42no—
568C23—81no—
569C23—81no—
570C23C2×C22⋊Dic711yescharacteristic
571C23C2×C22⋊Dic712yes—
572C23C2×C22⋊Dic711yescharacteristic
573C23C22×C22⋊D711yescharacteristic
574Q8—42no—
575Q8—81no—
576D4—42no—
577D4—42no—
578D4—42no—
579D4—44no—
580D4—42no—
581D4—42no—
582D4—81no—
583D4—82no—
584D4—82no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—42no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—82no—
602C2×C4—82no—
603C2×C4—81no—
604C2×C4—81no—
605C2×C4—142no—
606C2×C4—281no—
607C2×C4—281no—
608C2×C4—281no—
609C2×C4—281no—
610C2×C4—281no—
611C2×C4—281no—
612C2×C4—281no—
613C2×C4—281no—
614C2×C4—281no—
615C2×C4—281no—
616C2×C4—281no—
617C2×C4—564no—
618C2×C4C2×C22⋊Dic712yes—
619C2×C4C2×C22⋊Dic712yes—
620C2×C4C2×C22⋊Dic712yes—
621C2×C4C2×C22⋊Dic711yescharacteristic
622C2×C4C2×C22⋊Dic711yescharacteristic
623C2×C4C23×Dic711yescharacteristic
624C2×C4C22×C22⋊D711yescharacteristic
625C8—282no—
626C8—282no—
627C7#1762311yescharacteristic, complemented, Sylow
628C22—21no—
629C22—21no—
630C22—21no—
631C22—21no—
632C22—22no—
633C22—21no—
634C22—22no—
635C22—21no—
636C22—21no—
637C22—22no—
638C22—21no—
639C22—42no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—81no—
645C22—81no—
646C22—162no—
647C22#9051311yescharacteristic
648C22#9051311yescharacteristic
649C22C22×C22⋊Dic711yescharacteristic
650C4—22no—
651C4—21no—
652C4—21no—
653C4—22no—
654C4—21no—
655C4—21no—
656C4—22no—
657C4—42no—
658C4—42no—
659C4—42no—
660C4—282no—
661C4—561no—
662C4—561no—
663C4—561no—
664C2—21no—
665C2—21no—
666C2—42no—
667C2—41no—
668C2—41no—
669C2—82no—
670C2#1174151711yescharacteristic
671C2#1174155211yescharacteristic
672C2#1174156511yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
Fitting, prime radicalC7×#3505C2
socleC22×C7C22×C22⋊C4
cosocleC22×C4×C7C24
hypercenter#3505D7
hypocenterC7#17623
LCSG ▷ C2×C4×C7 ▷ C22×C7 ▷ C7
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3505

Complements

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

NH ≅ G/Ntype
2. #11739781C2semidirect
3. #11739749C2semidirect
4. #11729511C2semidirect
5. #11729508C2semidirect
6. #11729463C2semidirect
7. #11729462C2semidirect
8. #11729443C2semidirect
9. #11729442C2semidirect
10. #11729428C2semidirect
11. #11729427C2semidirect
13. C7×#553C4semidirect
14. C7×#552C4semidirect
16. C7×#548C4semidirect
17. C7×#546C4semidirect
28. #89984C22semidirect
31. C2×C7⋊#95C22semidirect
34. #89979C22semidirect
40. #89709C22semidirect
41. #89704C22semidirect
42. #89697C22semidirect
43. #89333C22semidirect
44. #89333C22semidirect
45. #89333C22semidirect
46. #89333C22semidirect
53. C22×C7×Q8C2×C4semidirect
55. C22×C7×D4C2×C4semidirect
64. C7×#125C2×C4semidirect
66. C7×#124C2×C4semidirect
76. C7×C22⋊Q8C2×C4semidirect
84. C7×#121C2×C4semidirect
88. C4×C7×Q8C2×C4semidirect
96. C4×C7×D4C2×C4semidirect
103. C2×C7×C4⋊C4C2×C4semidirect
104. C2×C7×C4⋊C4C2×C4semidirect
235. #553Dic7semidirect
236. #552Dic7semidirect
238. #548Dic7semidirect
239. #546Dic7semidirect
343. C22×Q8C2×Dic7semidirect
345. C22×D4C2×Dic7semidirect
357. #125C2×Dic7semidirect
359. #124C2×Dic7semidirect
369. C22⋊Q8C2×Dic7semidirect
377. #121C2×Dic7semidirect
381. C4×Q8C2×Dic7semidirect
389. C4×D4C2×Dic7semidirect
397. C2×C4⋊C4C2×Dic7semidirect
398. C2×C4⋊C4C2×Dic7semidirect
627. C7#17623semidirect

Maximal subgroups

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

subgroupindex
C7×#35052
#117397812
#117397492
#117295112
#117295082
#117294632
#117294622
#117294432
#117294422
#117294282
#117294272
#176237