Finite Group Databasebeta

← #13321574

Subgroups — #13321574

Order 1792.

1074 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3505C211yesmaximal, characteristic
2#11739778C211yesmaximal, characteristic, complemented
3#11739747C211yesmaximal, characteristic, complemented
4#11729510C212yesmaximal, complemented
5#11729509C212yesmaximal, complemented
6#11729463C212yesmaximal, complemented
7#11729462C212yesmaximal, complemented
8#11729444C211yesmaximal, characteristic, complemented
9C2×#89333C211yesmaximal, characteristic, complemented
10#11729429C211yesmaximal, characteristic, complemented
11C2×#89332C211yesmaximal, 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
27C2×D4×Dic7—21no—
28#89984C2211yescharacteristic
29#89984C2211yescharacteristic, complemented
30C2×C7⋊#95C2211yescharacteristic
31C2×C7⋊#95C2211yescharacteristic, complemented
32#89979C2212yescomplemented
33C2×C22⋊(C7⋊C8)C2211yescharacteristic
34C2×C22⋊(C7⋊C8)C2211yescharacteristic
35#89783—22no—
36#89783—22no—
37#89757—21no—
38#89722—21no—
39#89722—21no—
40#89708C2211yescharacteristic, complemented
41C4×C4⋊Dic7C2211yescharacteristic, complemented
42#89698C2212yescomplemented
43#89333C2212yescomplemented
44#89333C2212yescomplemented
45#89333C2212yescomplemented
46#89333C2212yescomplemented
47#89332C2212yes—
48#89332C2212yes—
49#89332C2212yes—
50#89332C2212yes—
51#17622—71nomaximal, Sylow
52C2×C7×#41C2×C412yescomplemented
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—
60C23×Dic7—21no—
61C7×#126—22no—
62C7×#126—22no—
63C7×#126—22no—
64C7×#125—22no—
65C7×#125C2×C412yescomplemented
66C7×#124—22no—
67C7×#124C2×C412yescomplemented
68C7×#123—22no—
69C7×#123—22no—
70C7×#123—22no—
71C7×#123—22no—
72C7×#123—22no—
73C7×C22⋊Q8—21no—
74C7×C22⋊Q8—21no—
75C7×C22⋊Q8—22no—
76C7×C22⋊Q8C2×C412yescomplemented
77C7×C22⋊Q8C2×C412yescomplemented
78C7×C22⋊Q8C2312yes—
79C7×#121—22no—
80C7×#121—22no—
81C7×#121—21no—
82C7×#121—21no—
83C7×#121—22no—
84C7×#121C2×C412yescomplemented
85C7×#121C2×C412yescomplemented
86C7×#121C2312yes—
87C7×#120—22no—
88C7×#120—22no—
89C4×C7×Q8C2×C412yescomplemented
90C4×C7×D4—22no—
91C4×C7×D4—22no—
92C4×C7×D4—22no—
93C4×C7×D4—22no—
94C4×C7×D4—22no—
95C4×C7×D4C2×C412yes—
96C4×C7×D4C2×C412yes—
97C4×C7×D4C2×C412yescomplemented
98C4×C7×D4D412yes—
99C4×C7×D4D412yes—
100C7×#117—22no—
101C7×#117—22no—
102C7×#117C2×C412yescomplemented
103C2×C7×C4⋊C4—21no—
104C2×C7×C4⋊C4C2×C411yescharacteristic, complemented
105C2×C7×C4⋊C4C2×C411yescharacteristic, complemented
106C2×C7×C4⋊C4D411yescharacteristic
107C2×C7×C22⋊C4—21no—
108C2×C7×C22⋊C4—21no—
109C2×C7×C22⋊C4—22no—
110C2×C7×C22⋊C4D411yescharacteristic
111C2×C7×C22⋊C4D411yescharacteristic
112C2×C42×C7C2311yescharacteristic
113C2×C22⋊Dic7—21no—
114C2×C22⋊Dic7—21no—
115D4×Dic7—44no—
116C2×C4⋊Dic7—21no—
117C2×C4⋊Dic7—21no—
118C2×C4⋊Dic7—21no—
119C2×C4⋊Dic7—21no—
120C2×C4×Dic7—21no—
121C2×#1136—22no—
122C22×C7⋊C8—21no—
123C22×C7⋊C8—21no—
124C7⋊#95—21no—
125C7⋊#95—21no—
126C7⋊#95—21no—
127C7⋊#95C2311yescharacteristic
128C7⋊#95C2311yescharacteristic
129C7⋊#95C2311yescharacteristic
130C7⋊#95C2311yescharacteristic
131C22⋊(C7⋊C8)—21no—
132C22⋊(C7⋊C8)—21no—
133C22⋊(C7⋊C8)—22no—
134C22⋊(C7⋊C8)C2312yes—
135C22⋊(C7⋊C8)C2312yes—
136C4⋊(C7⋊C8)—22no—
137#6377—22no—
138#3505D711yescharacteristic
139#2973—71no—
140#2349—71no—
141#1520—71no—
142#1519—71no—
143#1513—72no—
144#1512—72no—
145#1509—72no—
146#1504—72no—
147C2×#328—71no—
148C2×#327—71no—
149C24×C7—21no—
150C24×C7C2×D411yescharacteristic
151C24×C7C2×D411yescharacteristic
152C7×#41—82no—
153C2×C7×Q8—21no—
154C2×C7×Q8—81no—
155C2×C7×Q8C22×C412yes—
156C2×C7×D4—22no—
157C2×C7×D4—22no—
158C2×C7×D4—22no—
159C2×C7×D4—22no—
160C2×C7×D4—22no—
161C2×C7×D4—22no—
162C2×C7×D4—21no—
163C2×C7×D4—42no—
164C2×C7×D4—42no—
165C2×C7×D4—81no—
166C2×C7×D4C22⋊C412yes—
167C2×C7×D4C22⋊C412yes—
168C2×C7×D4C22×C412yes—
169C22×C4×C7—21no—
170C22×C4×C7—21no—
171C22×C4×C7—21no—
172C22×C4×C7—22no—
173C22×C4×C7—22no—
174C22×C4×C7—81no—
175C22×C4×C7—81no—
176C22×C4×C7C22×C411yescharacteristic
177C22×C4×C7C22×C411yescharacteristic
178C22×C4×C7C22×C412yes—
179C22×C4×C7C2×D411yescharacteristic
180C22×C4×C7C2×D411yescharacteristic
181C22×C4×C7C2×D411yescharacteristic
182C22×C4×C7C2×D411yescharacteristic
183C22×C4×C7C2×D411yescharacteristic
184C22×C4×C7C2×D411yescharacteristic
185C22×C4×C7C2×D412yes—
186C22×C4×C7C2411yescharacteristic
187C22×Dic7—21no—
188C22×Dic7—21no—
189C22×Dic7—21no—
190C22×Dic7—21no—
191C22×Dic7—42no—
192C22×Dic7—42no—
193C22×Dic7—42no—
194C22×Dic7—42no—
195C22×Dic7—81no—
196C22×Dic7—81no—
197C7×C4⋊C4—22no—
198C7×C4⋊C4—21no—
199C7×C4⋊C4—21no—
200C7×C4⋊C4—22no—
201C7×C4⋊C4—22no—
202C7×C4⋊C4—22no—
203C7×C4⋊C4—22no—
204C7×C4⋊C4—22no—
205C7×C4⋊C4C22⋊C412yes—
206C7×C4⋊C4C22⋊C412yes—
207C7×C4⋊C4C22×C412yes—
208C7×C4⋊C4C22×C412yes—
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⋊C4—22no—
216C7×C22⋊C4—22no—
217C7×C22⋊C4—22no—
218C7×C22⋊C4—22no—
219C7×C22⋊C4C22⋊C412yes—
220C7×C22⋊C4C22⋊C412yes—
221C7×C22⋊C4C22⋊C412yes—
222C7×C22⋊C4C22⋊C412yes—
223C42×C7—22no—
224C42×C7—22no—
225C42×C7C22×C412yes—
226C42×C7C2×D412yes—
227C22⋊Dic7—42no—
228C22⋊Dic7—42no—
229C4⋊Dic7—42no—
230C4⋊Dic7—42no—
231C4⋊Dic7—81no—
232C4⋊Dic7—81no—
233C4×Dic7—42no—
234#1136—82no—
235C2×C7⋊C8—22no—
236C2×C7⋊C8—22no—
237C2×C7⋊C8—81no—
238C2×C7⋊C8—81no—
239#553—22no—
240#553Dic712yescomplemented
241#552Dic712yescomplemented
242#551—22no—
243#548Dic712yescomplemented
244#546Dic712yescomplemented
245#539—21no—
246#538—21no—
247#534—21no—
248#529C2×D712yes—
249#525C2×D712yes—
250C2×C22⋊Q8C2×D711yescharacteristic
251C2×#121C2×D711yescharacteristic
252#518—21no—
253C2×C4×D4—141no—
254C2×C4×D4C2×D711yescharacteristic
255#435—142no—
256#435—142no—
257#432—72no—
258#407—72no—
259C2×C22⋊C8—71no—
260C2×C22⋊C8—71no—
261#389—141no—
262#385—141no—
263#385—141no—
264#382—71no—
265#380—71no—
266#380—71no—
267C4×C4⋊C4—71no—
268C2×#95—71no—
269C2×#95—71no—
270#328—72no—
271#328—72no—
272#328—72no—
273#328—72no—
274#327—72no—
275#327—72no—
276#327—72no—
277#327—72no—
278C23×C7—21no—
279C23×C7—21no—
280C23×C7—22no—
281C23×C7—41no—
282C23×C7—41no—
283C23×C7—41no—
284C23×C7—41no—
285C23×C7—42no—
286C23×C7—81no—
287C23×C7—81no—
288C23×C7C2×C22⋊C412yes—
289C23×C7C2×C22⋊C411yescharacteristic
290C23×C7C2×C22⋊C411yescharacteristic
291C23×C7AGL(1,ℤ/8)12yes—
292C23×C7#13712yes—
293C23×C7C22×D411yescharacteristic
294C7×Q8—42no—
295C7×Q8—81no—
296C7×D4—24no—
297C7×D4—24no—
298C7×D4—42no—
299C7×D4—42no—
300C7×D4—42no—
301C7×D4—44no—
302C7×D4—81no—
303C7×D4—82no—
304C7×D4—82no—
305C2×C4×C7—21no—
306C2×C4×C7—21no—
307C2×C4×C7—22no—
308C2×C4×C7—22no—
309C2×C4×C7—22no—
310C2×C4×C7—41no—
311C2×C4×C7—41no—
312C2×C4×C7—42no—
313C2×C4×C7—41no—
314C2×C4×C7—41no—
315C2×C4×C7—41no—
316C2×C4×C7—41no—
317C2×C4×C7—41no—
318C2×C4×C7—41no—
319C2×C4×C7—42no—
320C2×C4×C7—42no—
321C2×C4×C7—82no—
322C2×C4×C7—82no—
323C2×C4×C7—81no—
324C2×C4×C7—81no—
325C2×C4×C7C2×C22⋊C412yes—
326C2×C4×C7C2×C22⋊C412yes—
327C2×C4×C7C2×C22⋊C412yes—
328C2×C4×C7C2×C22⋊C411yescharacteristic
329C2×C4×C7C2×C22⋊C411yescharacteristic
330C2×C4×C7C23×C411yescharacteristic
331C2×C4×C7C22×D411yescharacteristic
332C2×Dic7—22no—
333C2×Dic7—41no—
334C2×Dic7—41no—
335C2×Dic7—41no—
336C2×Dic7—41no—
337C2×Dic7—41no—
338C2×Dic7—41no—
339C2×Dic7—41no—
340C2×Dic7—41no—
341C2×Dic7—41no—
342C2×Dic7—41no—
343C2×Dic7—41no—
344C2×Dic7—84no—
345C2×Dic7—84no—
346C7⋊C8—42no—
347C7⋊C8—42no—
348C2×#41C2×Dic712yescomplemented
349C22×Q8C2×Dic711yescharacteristic, complemented
350C22×D4—21no—
351C22×D4C2×Dic711yescharacteristic, complemented
352C22×D4C22⋊D711yescharacteristic
353C23×C4—141no—
354C23×C4—141no—
355C23×C4C22×D711yescharacteristic
356C23×C4C22×D711yescharacteristic
357C2×M16—142no—
358C22×C8—141no—
359C22×C8—141no—
360#126—22no—
361#126—22no—
362#126—22no—
363#125—22no—
364#125C2×Dic712yescomplemented
365#124—22no—
366#124C2×Dic712yescomplemented
367#123—22no—
368#123—22no—
369#123—22no—
370#123—22no—
371#123—22no—
372C22⋊Q8—21no—
373C22⋊Q8—21no—
374C22⋊Q8—22no—
375C22⋊Q8C2×Dic712yescomplemented
376C22⋊Q8C2×Dic712yescomplemented
377C22⋊Q8C22×D712yes—
378#121—22no—
379#121—22no—
380#121—21no—
381#121—21no—
382#121—22no—
383#121C2×Dic712yescomplemented
384#121C2×Dic712yescomplemented
385#121C22×D712yes—
386#120—22no—
387#120—22no—
388C4×Q8C2×Dic712yescomplemented
389C4×D4—22no—
390C4×D4—22no—
391C4×D4—22no—
392C4×D4—22no—
393C4×D4—22no—
394C4×D4—284no—
395C4×D4C2×Dic712yes—
396C4×D4C2×Dic712yes—
397C4×D4C2×Dic712yescomplemented
398C4×D4C22⋊D712yes—
399C4×D4C22⋊D712yes—
400#117—22no—
401#117—22no—
402#117C2×Dic712yescomplemented
403C2×C4⋊C4—21no—
404C2×C4⋊C4—141no—
405C2×C4⋊C4—141no—
406C2×C4⋊C4—141no—
407C2×C4⋊C4—141no—
408C2×C4⋊C4C2×Dic711yescharacteristic, complemented
409C2×C4⋊C4C2×Dic711yescharacteristic, complemented
410C2×C4⋊C4C22⋊D711yescharacteristic
411C2×C22⋊C4—21no—
412C2×C22⋊C4—21no—
413C2×C22⋊C4—22no—
414C2×C22⋊C4—141no—
415C2×C22⋊C4—141no—
416C2×C22⋊C4C22⋊D711yescharacteristic
417C2×C22⋊C4C22⋊D711yescharacteristic
418C2×C42—141no—
419C2×C42C22×D711yescharacteristic
420C4⋊C8—142no—
421C22⋊C8—72no—
422C22⋊C8—72no—
423C22⋊C8—141no—
424C22⋊C8—141no—
425C22⋊C8—142no—
426#97—142no—
427#95—71no—
428#95—71no—
429#95—71no—
430#95—71no—
431#95—141no—
432#95—141no—
433#95—141no—
434C22×C7—21no—
435C22×C7—21no—
436C22×C7—21no—
437C22×C7—21no—
438C22×C7—21no—
439C22×C7—21no—
440C22×C7—22no—
441C22×C7—22no—
442C22×C7—22no—
443C22×C7—42no—
444C22×C7—42no—
445C22×C7—42no—
446C22×C7—42no—
447C22×C7—42no—
448C22×C7—42no—
449C22×C7—42no—
450C22×C7—162no—
451C22×C7#41712yes—
452C22×C7#41712yes—
453C22×C7C22×C22⋊C411yescharacteristic
454C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
455C22×C7C2×#13711yescharacteristic
456C4×C7—21no—
457C4×C7—21no—
458C4×C7—22no—
459C4×C7—21no—
460C4×C7—21no—
461C4×C7—22no—
462C4×C7—22no—
463C4×C7—42no—
464C4×C7—42no—
465C4×C7—42no—
466Dic7—42no—
467Dic7—81no—
468Dic7—81no—
469Dic7—81no—
470C24—21no—
471C24C2×C22⋊D711yescharacteristic
472C24C2×C22⋊D711yescharacteristic
473#41—82no—
474C2×Q8—21no—
475C2×Q8—81no—
476C2×Q8C22×Dic712yes—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—21no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—81no—
487C2×D4C22⋊Dic712yes—
488C2×D4C22⋊Dic712yes—
489C2×D4C22×Dic712yes—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—81no—
496C22×C4—81no—
497C22×C4—141no—
498C22×C4—141no—
499C22×C4—141no—
500C22×C4—141no—
501C22×C4—282no—
502C22×C4—282no—
503C22×C4—282no—
504C22×C4—282no—
505C22×C4—561no—
506C22×C4—561no—
507C22×C4C22×Dic711yescharacteristic
508C22×C4C22×Dic711yescharacteristic
509C22×C4C22×Dic712yes—
510C22×C4C2×C22⋊D711yescharacteristic
511C22×C4C2×C22⋊D711yescharacteristic
512C22×C4C2×C22⋊D711yescharacteristic
513C22×C4C2×C22⋊D711yescharacteristic
514C22×C4C2×C22⋊D711yescharacteristic
515C22×C4C2×C22⋊D711yescharacteristic
516C22×C4C2×C22⋊D712yes—
517C22×C4C23×D711yescharacteristic
518M16—562no—
519C2×C8—142no—
520C2×C8—142no—
521C2×C8—561no—
522C2×C8—561no—
523C4⋊C4—22no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—282no—
532C4⋊C4—282no—
533C4⋊C4—561no—
534C4⋊C4—561no—
535C4⋊C4C22⋊Dic712yes—
536C4⋊C4C22⋊Dic712yes—
537C4⋊C4C22×Dic712yes—
538C4⋊C4C22×Dic712yes—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—22no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—22no—
549C22⋊C4—282no—
550C22⋊C4—282no—
551C22⋊C4C22⋊Dic712yes—
552C22⋊C4C22⋊Dic712yes—
553C22⋊C4C22⋊Dic712yes—
554C22⋊C4C22⋊Dic712yes—
555C42—22no—
556C42—22no—
557C42—282no—
558C42C22×Dic712yes—
559C42C2×C22⋊D712yes—
560C2×C7—21no—
561C2×C7—21no—
562C2×C7—22no—
563C2×C7—22no—
564C2×C7—42no—
565C2×C7—82no—
566C2×C7#288311yescharacteristic
567C2×C7C2×#41711yescharacteristic
568C2×C7#290111yescharacteristic
569C23—21no—
570C23—21no—
571C23—22no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—42no—
577C23—81no—
578C23—81no—
579C23#651212yes—
580C23#651412yes—
581C23C2×C22⋊Dic712yes—
582C23C2×C22⋊Dic711yescharacteristic
583C23C2×C22⋊Dic711yescharacteristic
584C23C22×C22⋊D711yescharacteristic
585Q8—42no—
586Q8—81no—
587D4—24no—
588D4—24no—
589D4—42no—
590D4—42no—
591D4—42no—
592D4—44no—
593D4—81no—
594D4—82no—
595D4—82no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—42no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—82no—
613C2×C4—82no—
614C2×C4—81no—
615C2×C4—81no—
616C2×C4—142no—
617C2×C4—281no—
618C2×C4—281no—
619C2×C4—281no—
620C2×C4—281no—
621C2×C4—281no—
622C2×C4—281no—
623C2×C4—281no—
624C2×C4—281no—
625C2×C4—281no—
626C2×C4—281no—
627C2×C4—281no—
628C2×C4—564no—
629C2×C4—564no—
630C2×C4C2×C22⋊Dic712yes—
631C2×C4C2×C22⋊Dic712yes—
632C2×C4C2×C22⋊Dic712yes—
633C2×C4C2×C22⋊Dic711yescharacteristic
634C2×C4C2×C22⋊Dic711yescharacteristic
635C2×C4C23×Dic711yescharacteristic
636C2×C4C22×C22⋊D711yescharacteristic
637C8—282no—
638C8—282no—
639C7#1762211yescharacteristic, complemented, Sylow
640C22—21no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—162no—
657C22#9000412yes—
658C22#9000412yes—
659C22C2×#651211yescharacteristic
660C22C2×#651411yescharacteristic
661C22C22×C22⋊Dic711yescharacteristic
662C4—22no—
663C4—21no—
664C4—21no—
665C4—22no—
666C4—21no—
667C4—21no—
668C4—22no—
669C4—42no—
670C4—42no—
671C4—42no—
672C4—282no—
673C4—561no—
674C4—561no—
675C4—561no—
676C2—21no—
677C2—21no—
678C2—22no—
679C2—22no—
680C2—42no—
681C2—82no—
682C2C2×#9000411yescharacteristic
683C2#1174155211yescharacteristic
684C2#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#17622
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. #11739778C2semidirect
3. #11739747C2semidirect
4. #11729510C2semidirect
5. #11729509C2semidirect
6. #11729463C2semidirect
7. #11729462C2semidirect
8. #11729444C2semidirect
9. C2×#89333C2semidirect
10. #11729429C2semidirect
11. C2×#89332C2semidirect
13. C7×#553C4semidirect
14. C7×#552C4semidirect
16. C7×#548C4semidirect
17. C7×#546C4semidirect
29. #89984C22semidirect
31. C2×C7⋊#95C22semidirect
32. #89979C22semidirect
40. #89708C22semidirect
41. C4×C4⋊Dic7C22semidirect
42. #89698C22semidirect
43. #89333C22semidirect
44. #89333C22semidirect
45. #89333C22semidirect
46. #89333C22semidirect
52. C2×C7×#41C2×C4semidirect
53. C22×C7×Q8C2×C4semidirect
55. C22×C7×D4C2×C4semidirect
65. C7×#125C2×C4semidirect
67. C7×#124C2×C4semidirect
76. C7×C22⋊Q8C2×C4semidirect
77. C7×C22⋊Q8C2×C4semidirect
84. C7×#121C2×C4semidirect
85. C7×#121C2×C4semidirect
89. C4×C7×Q8C2×C4semidirect
97. C4×C7×D4C2×C4semidirect
102. C7×#117C2×C4semidirect
104. C2×C7×C4⋊C4C2×C4semidirect
105. C2×C7×C4⋊C4C2×C4semidirect
240. #553Dic7semidirect
241. #552Dic7semidirect
243. #548Dic7semidirect
244. #546Dic7semidirect
348. C2×#41C2×Dic7semidirect
349. C22×Q8C2×Dic7semidirect
351. C22×D4C2×Dic7semidirect
364. #125C2×Dic7semidirect
366. #124C2×Dic7semidirect
375. C22⋊Q8C2×Dic7semidirect
376. C22⋊Q8C2×Dic7semidirect
383. #121C2×Dic7semidirect
384. #121C2×Dic7semidirect
388. C4×Q8C2×Dic7semidirect
397. C4×D4C2×Dic7semidirect
402. #117C2×Dic7semidirect
408. C2×C4⋊C4C2×Dic7semidirect
409. C2×C4⋊C4C2×Dic7semidirect
639. C7#17622semidirect

Maximal subgroups

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

subgroupindex
C7×#35052
#117397782
#117397472
#117295102
#117295092
#117294632
#117294622
#117294442
C2×#893332
#117294292
C2×#893322
#176227