Finite Group Databasebeta

← #13371980

Subgroups — #13371980

Order 1792.

1042 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
1C2×C7×#435C211yesmaximal, characteristic
2C2×#89893C211yesmaximal, characteristic, complemented
3C22×#6392C211yesmaximal, characteristic, complemented
4#11739780C211yesmaximal, characteristic
5D4×C4⋊Dic7C211yesmaximal, characteristic
6#11729742C211yesmaximal, characteristic, complemented
7#11729724C211yesmaximal, characteristic, complemented
8#11728209C211yesmaximal, characteristic, complemented
9#11728207C211yesmaximal, characteristic, complemented
10#11727683C211yesmaximal, characteristic, complemented
11#11727682C211yesmaximal, characteristic, complemented
12#11727681C211yesmaximal, characteristic, complemented
13#11727681C211yesmaximal, characteristic, complemented
14#11727570C211yesmaximal, characteristic, complemented
15#11727568C211yesmaximal, characteristic, complemented
16C22×C7×M16C2211yescharacteristic
17C23×C7×C8C2211yescharacteristic
18C2×C4×C7×D4C2211yescharacteristic
19C2×D4×Dic7—21no—
20C2×#6489C2211yescharacteristic
21C22×C4⋊Dic7C2211yescharacteristic
22C22×C4⋊Dic7C2211yescharacteristic
23C22×C4⋊Dic7C2211yescharacteristic
24C7×#435C418yescomplemented
25C2×C7×C4⋊C8C2211yescharacteristic
26C2×C7×C22⋊C8C2211yescharacteristic
27C2×C7×C22⋊C8C2211yescharacteristic
28C2×C7×#97C2211yescharacteristic
29#89992—21no—
30#89984C2211yescharacteristic
31#89984C2211yescharacteristic
32#89984C2211yescharacteristic
33#89984C2211yescharacteristic
34#89893—24no—
35C2×#6392—24no—
36C2×#6392C2211yescharacteristic
37C2×#6392C2211yescharacteristic
38C2×#6392C2211yescharacteristic
39C2×#6392C2211yescharacteristic
40C2×#6392C2211yescharacteristic
41C2×#6392C2211yescharacteristic
42C2×#6391C2211yescharacteristic
43C2×#6391C2211yescharacteristic
44C2×#6391C2211yescharacteristic
45C2×#6391C2211yescharacteristic
46#89757—21no—
47#89753—21no—
48#89723—21no—
49#89722—21no—
50#89722—21no—
51C22⋊C4×Dic7—21no—
52#89708C2211yescharacteristic
53#89707C2211yescharacteristic
54C4×C4⋊Dic7C2211yescharacteristic
55C4×C4⋊Dic7C2211yescharacteristic
56#89346C2211yescharacteristic
57#89346C2211yescharacteristic
58#89346C2211yescharacteristic
59#89346C2211yescharacteristic
60#89346C2211yescharacteristic
61#89346C2211yescharacteristic
62#22661—71nomaximal, Sylow
63C22×C7×D4D411yescharacteristic
64C23×C4×C7C2311yescharacteristic
65C23×C4×C7C2311yescharacteristic
66C23×Dic7—21no—
67C23×Dic7—21no—
68C23×Dic7—21no—
69C2×C7×M16—22no—
70C2×C7×M16—22no—
71C2×C7×M16C2×C414yescomplemented
72C22×C7×C8—22no—
73C22×C7×C8—22no—
74C22×C7×C8C2×C414yescomplemented
75C22×C7×C8C2311yescharacteristic
76C22×C7×C8C2311yescharacteristic
77C22×C7×C8C2311yescharacteristic
78C22×C7×C8C2311yescharacteristic
79C4×C7×D4C2×C414yes—
80C4×C7×D4Q814yes—
81C2×C7×C4⋊C4D411yescharacteristic
82C2×C7×C22⋊C4D411yescharacteristic
83C2×C7×C22⋊C4D411yescharacteristic
84C2×C42×C7C2311yescharacteristic
85C2×C22⋊Dic7—21no—
86C2×C22⋊Dic7—21no—
87C2×C22⋊Dic7—21no—
88C2×C22⋊Dic7—21no—
89C2×C22⋊Dic7—21no—
90D4×Dic7—44no—
91#6489—22no—
92#6489—41no—
93C2×C4⋊Dic7—22no—
94C2×C4⋊Dic7—22no—
95C2×C4⋊Dic7—22no—
96C2×C4⋊Dic7—21no—
97C2×C4⋊Dic7—21no—
98C2×C4⋊Dic7—21no—
99C2×C4⋊Dic7—21no—
100C2×C4⋊Dic7—21no—
101C2×C4⋊Dic7—41no—
102C2×C4⋊Dic7—41no—
103C2×C4⋊Dic7—41no—
104C2×C4⋊Dic7C2311yescharacteristic
105C2×C4⋊Dic7C2311yescharacteristic
106C2×C4⋊Dic7C2311yescharacteristic
107C2×C4⋊Dic7C2311yescharacteristic
108C2×C4⋊Dic7C2311yescharacteristic
109C2×C4⋊Dic7C2311yescharacteristic
110C2×C4⋊Dic7C2311yescharacteristic
111C2×C4⋊Dic7C2311yescharacteristic
112C2×C4×Dic7—21no—
113C2×C4×Dic7—21no—
114C2×C4×Dic7—21no—
115C7×C4⋊C8C2×C414yescomplemented
116C7×C22⋊C8C2×C414yescomplemented
117C7×C22⋊C8C2×C414yescomplemented
118C7×#97C2×C414yescomplemented
119C7⋊#95—21no—
120C7⋊#95—21no—
121C7⋊#95—21no—
122C7⋊#95—21no—
123C7⋊#95—21no—
124C7⋊#95—21no—
125C7⋊#95—21no—
126C7⋊#95—21no—
127#6392—22no—
128#6392—22no—
129#6392—22no—
130#6392—22no—
131#6392—41no—
132#6392D414yescomplemented
133#6391—22no—
134#6391—22no—
135#6391—22no—
136#6391—41no—
137C2×#435D711yescharacteristic
138C2×#428—71no—
139C22×#107—71no—
140#2352—71no—
141D4×C4⋊C4—71no—
142#1949—71no—
143#1947—71no—
144#1854—71no—
145#1853—71no—
146#1852—71no—
147#1852—71no—
148#1847—71no—
149#1809—71no—
150#1807—71no—
151#1776—71no—
152C24×C7C2×D411yescharacteristic
153C24×C7C2×D411yescharacteristic
154C2×C7×D4—22no—
155C2×C7×D4—22no—
156C2×C7×D4C4⋊C414yes—
157C22×C4×C7—21no—
158C22×C4×C7—21no—
159C22×C4×C7—21no—
160C22×C4×C7—21no—
161C22×C4×C7—21no—
162C22×C4×C7—21no—
163C22×C4×C7—21no—
164C22×C4×C7—21no—
165C22×C4×C7C22×C412yes—
166C22×C4×C7C22×C412yes—
167C22×C4×C7C2×D411yescharacteristic
168C22×C4×C7C2×D411yescharacteristic
169C22×C4×C7C2×D411yescharacteristic
170C22×C4×C7C2×D411yescharacteristic
171C22×C4×C7C2×Q812yes—
172C22×C4×C7C2×Q812yes—
173C22×C4×C7C2411yescharacteristic
174C22×Dic7—21no—
175C22×Dic7—21no—
176C22×Dic7—21no—
177C22×Dic7—21no—
178C22×Dic7—21no—
179C22×Dic7—21no—
180C22×Dic7—21no—
181C22×Dic7—21no—
182C22×Dic7—42no—
183C22×Dic7—42no—
184C22×Dic7—42no—
185C22×Dic7—42no—
186C22×Dic7—42no—
187C22×Dic7—42no—
188C22×Dic7—81no—
189C22×Dic7—81no—
190C22×Dic7—81no—
191C7×M16—28no—
192C2×C7×C8—21no—
193C2×C7×C8—21no—
194C2×C7×C8—21no—
195C2×C7×C8—21no—
196C2×C7×C8—21no—
197C2×C7×C8—21no—
198C2×C7×C8—28no—
199C2×C7×C8C22×C412yes—
200C2×C7×C8C22×C412yes—
201C2×C7×C8C22×C412yes—
202C2×C7×C8C22×C412yes—
203C2×C7×C8C2×D412yes—
204C2×C7×C8#4112yes—
205C7×C4⋊C4C4⋊C414yes—
206C7×C22⋊C4C4⋊C414yes—
207C7×C22⋊C4C4⋊C414yes—
208C42×C7C22×C412yes—
209C42×C7C2×Q812yes—
210C22⋊Dic7—42no—
211C22⋊Dic7—42no—
212C22⋊Dic7—42no—
213C22⋊Dic7—42no—
214C22⋊Dic7—81no—
215C4⋊Dic7—21no—
216C4⋊Dic7—21no—
217C4⋊Dic7—21no—
218C4⋊Dic7—21no—
219C4⋊Dic7—21no—
220C4⋊Dic7—21no—
221C4⋊Dic7—21no—
222C4⋊Dic7—21no—
223C4⋊Dic7—21no—
224C4⋊Dic7—21no—
225C4⋊Dic7—21no—
226C4⋊Dic7—21no—
227C4⋊Dic7—21no—
228C4⋊Dic7—21no—
229C4⋊Dic7—42no—
230C4⋊Dic7—42no—
231C4⋊Dic7—42no—
232C4⋊Dic7—42no—
233C4⋊Dic7—81no—
234C4⋊Dic7C2×D412yes—
235C4⋊Dic7C2×D412yes—
236C4×Dic7—42no—
237C4×Dic7—42no—
238C4×Dic7—81no—
239C22×M16C2×D711yescharacteristic
240C23×C8C2×D711yescharacteristic
241C2×C4×D4—141no—
242C2×C4×D4C2×D711yescharacteristic
243C2×#117—71no—
244C22×C4⋊C4—71no—
245C22×C4⋊C4—71no—
246C22×C4⋊C4—71no—
247#435Dic718yescomplemented
248#428—144no—
249C2×#107—71no—
250C2×#107—71no—
251C2×#107—71no—
252C2×#107—71no—
253C2×#107—71no—
254C2×#107—71no—
255C2×#107—144no—
256C2×#106—71no—
257C2×#106—71no—
258C2×#106—71no—
259C2×#106—71no—
260C2×C4⋊C8C2×D711yescharacteristic
261C2×C22⋊C8C2×D711yescharacteristic
262C2×C22⋊C8C2×D711yescharacteristic
263C2×#97C2×D711yescharacteristic
264#389—141no—
265#388—141no—
266#387—141no—
267#386—141no—
268#385—141no—
269#385—141no—
270#384—71no—
271#382—71no—
272#380—71no—
273#380—71no—
274#380—71no—
275#380—71no—
276C4×C4⋊C4—71no—
277C4×C4⋊C4—71no—
278C4×C22⋊C4—141no—
279#340—71no—
280#340—71no—
281#340—71no—
282#340—71no—
283#340—71no—
284#340—71no—
285C23×C7—21no—
286C23×C7—21no—
287C23×C7—21no—
288C23×C7—21no—
289C23×C7—21no—
290C23×C7—21no—
291C23×C7—21no—
292C23×C7—21no—
293C23×C7—21no—
294C23×C7—21no—
295C23×C7C2×C4⋊C412yes—
296C23×C7C2×C4⋊C412yes—
297C23×C7AGL(1,ℤ/8)12yes—
298C23×C7#13712yes—
299C23×C7C22×D411yescharacteristic
300C7×D4—28no—
301C2×C4×C7—21no—
302C2×C4×C7—21no—
303C2×C4×C7—21no—
304C2×C4×C7—21no—
305C2×C4×C7—21no—
306C2×C4×C7—21no—
307C2×C4×C7—21no—
308C2×C4×C7—21no—
309C2×C4×C7—22no—
310C2×C4×C7—22no—
311C2×C4×C7—22no—
312C2×C4×C7—22no—
313C2×C4×C7—22no—
314C2×C4×C7—22no—
315C2×C4×C7—22no—
316C2×C4×C7—22no—
317C2×C4×C7C2×C4⋊C412yes—
318C2×C4×C7C2×C4⋊C412yes—
319C2×C4×C7C2×C4⋊C412yes—
320C2×C4×C7C2×C4⋊C412yes—
321C2×C4×C7C23×C411yescharacteristic
322C2×C4×C7C22×D411yescharacteristic
323C2×C4×C7C22×Q811yescharacteristic
324C2×C4×C7C2×#4111yescharacteristic
325C2×C4×C7H(5,𝔽2)11yescharacteristic
326C2×C4×C72−1+411yescharacteristic
327C2×Dic7—22no—
328C2×Dic7—22no—
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—41no—
340C2×Dic7—41no—
341C2×Dic7—41no—
342C2×Dic7—41no—
343C2×Dic7—41no—
344C2×Dic7—41no—
345C2×Dic7—41no—
346C2×Dic7—41no—
347C2×Dic7—41no—
348C2×Dic7—41no—
349C2×Dic7—41no—
350C2×Dic7—41no—
351C2×Dic7—84no—
352C2×Dic7—84no—
353C2×Dic7—84no—
354C7×C8—22no—
355C7×C8—22no—
356C7×C8—22no—
357C7×C8C4×D414yescomplemented
358C22×D4D2811yescharacteristic
359C23×C4—141no—
360C23×C4—141no—
361C23×C4—141no—
362C23×C4C22×D711yescharacteristic
363C23×C4C22×D711yescharacteristic
364C2×M16—22no—
365C2×M16—22no—
366C2×M16C2×Dic714yescomplemented
367C22×C8—22no—
368C22×C8—22no—
369C22×C8C2×Dic714yescomplemented
370C22×C8C22×D711yescharacteristic
371C22×C8C22×D711yescharacteristic
372C22×C8C22×D711yescharacteristic
373C22×C8C22×D711yescharacteristic
374C4×D4—284no—
375C4×D4Dic1414yes—
376C4×D4C2×Dic714yes—
377#117—142no—
378#117—281no—
379C2×C4⋊C4—71no—
380C2×C4⋊C4—71no—
381C2×C4⋊C4—71no—
382C2×C4⋊C4—71no—
383C2×C4⋊C4—71no—
384C2×C4⋊C4—71no—
385C2×C4⋊C4—71no—
386C2×C4⋊C4—71no—
387C2×C4⋊C4—142no—
388C2×C4⋊C4—142no—
389C2×C4⋊C4—142no—
390C2×C4⋊C4—141no—
391C2×C4⋊C4—141no—
392C2×C4⋊C4—141no—
393C2×C4⋊C4—141no—
394C2×C4⋊C4—141no—
395C2×C4⋊C4—281no—
396C2×C4⋊C4—281no—
397C2×C4⋊C4—281no—
398C2×C4⋊C4D2811yescharacteristic
399C2×C22⋊C4—141no—
400C2×C22⋊C4—141no—
401C2×C22⋊C4—141no—
402C2×C22⋊C4—141no—
403C2×C22⋊C4—141no—
404C2×C22⋊C4D2811yescharacteristic
405C2×C22⋊C4D2811yescharacteristic
406C2×C42—141no—
407C2×C42—141no—
408C2×C42—141no—
409C2×C42C22×D711yescharacteristic
410#107—74no—
411#107—142no—
412#107—142no—
413#107—142no—
414#107—142no—
415#107—281no—
416#106—142no—
417#106—142no—
418#106—142no—
419#106—281no—
420C4⋊C8C2×Dic714yescomplemented
421C22⋊C8C2×Dic714yescomplemented
422C22⋊C8C2×Dic714yescomplemented
423#97C2×Dic714yescomplemented
424#95—141no—
425#95—141no—
426#95—141no—
427#95—141no—
428#95—141no—
429#95—141no—
430#95—141no—
431#95—141no—
432C22×C7—22no—
433C22×C7—22no—
434C22×C7—22no—
435C22×C7—22no—
436C22×C7—22no—
437C22×C7—22no—
438C22×C7—22no—
439C22×C7—22no—
440C22×C7—22no—
441C22×C7—41no—
442C22×C7—41no—
443C22×C7—41no—
444C22×C7—41no—
445C22×C7#42814yescomplemented
446C22×C7C22×C4⋊C411yescharacteristic
447C22×C7D4211yescharacteristic
448C22×C7#54711yescharacteristic
449C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
450C22×C7C2×#13711yescharacteristic
451C22×C7#57611yescharacteristic
452C22×C7#57811yescharacteristic
453C4×C7—22no—
454C4×C7—22no—
455C4×C7—22no—
456C4×C7—22no—
457C4×C7C2×C4×D411yescharacteristic
458C4×C7#52011yescharacteristic
459C4×C7D4×Q811yescharacteristic
460C4×C7#55411yescharacteristic
461Dic7—42no—
462Dic7—42no—
463Dic7—81no—
464Dic7—81no—
465Dic7—81no—
466Dic7—81no—
467Dic7—81no—
468Dic7—81no—
469C24C2×D2811yescharacteristic
470C24C2×D2811yescharacteristic
471C2×D4—22no—
472C2×D4—22no—
473C2×D4C4⋊Dic714yes—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—141no—
483C22×C4—141no—
484C22×C4—141no—
485C22×C4—141no—
486C22×C4—141no—
487C22×C4—141no—
488C22×C4—141no—
489C22×C4—141no—
490C22×C4—282no—
491C22×C4—282no—
492C22×C4—282no—
493C22×C4—282no—
494C22×C4—282no—
495C22×C4—282no—
496C22×C4—561no—
497C22×C4—561no—
498C22×C4—561no—
499C22×C4C2×Dic1412yes—
500C22×C4C2×Dic1412yes—
501C22×C4C2×D2811yescharacteristic
502C22×C4C2×D2811yescharacteristic
503C22×C4C2×D2811yescharacteristic
504C22×C4C2×D2811yescharacteristic
505C22×C4C22×Dic712yes—
506C22×C4C22×Dic712yes—
507C22×C4C23×D711yescharacteristic
508M16—28no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—28no—
516C2×C8D4×D712yes—
517C2×C8#115912yes—
518C2×C8C22×Dic712yes—
519C2×C8C22×Dic712yes—
520C2×C8C22×Dic712yes—
521C2×C8C22×Dic712yes—
522C4⋊C4—72no—
523C4⋊C4—72no—
524C4⋊C4—141no—
525C4⋊C4—141no—
526C4⋊C4—141no—
527C4⋊C4—141no—
528C4⋊C4—141no—
529C4⋊C4—141no—
530C4⋊C4—141no—
531C4⋊C4—141no—
532C4⋊C4—141no—
533C4⋊C4—141no—
534C4⋊C4—141no—
535C4⋊C4—141no—
536C4⋊C4—141no—
537C4⋊C4—141no—
538C4⋊C4—282no—
539C4⋊C4—282no—
540C4⋊C4—282no—
541C4⋊C4—282no—
542C4⋊C4—561no—
543C4⋊C4C4⋊Dic714yes—
544C22⋊C4—282no—
545C22⋊C4—282no—
546C22⋊C4—282no—
547C22⋊C4—282no—
548C22⋊C4—561no—
549C22⋊C4C4⋊Dic714yes—
550C22⋊C4C4⋊Dic714yes—
551C42—282no—
552C42—282no—
553C42—561no—
554C42C2×Dic1412yes—
555C42C22×Dic712yes—
556C2×C7—24no—
557C2×C7—42no—
558C2×C7D4×C4⋊C411yescharacteristic
559C2×C7C2×#42811yescharacteristic
560C2×C7#291311yescharacteristic
561C2×C7#326411yescharacteristic
562C2×C7#327011yescharacteristic
563C2×C7#334311yescharacteristic
564C2×C7#334611yescharacteristic
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23#647112yes—
576C23#647212yes—
577C23C2×C4⋊Dic712yes—
578C23C2×C4⋊Dic712yes—
579C23C22×D2811yescharacteristic
580D4—28no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—142no—
598C2×C4—142no—
599C2×C4—281no—
600C2×C4—281no—
601C2×C4—281no—
602C2×C4—281no—
603C2×C4—281no—
604C2×C4—281no—
605C2×C4—281no—
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—281no—
618C2×C4—281no—
619C2×C4—281no—
620C2×C4—281no—
621C2×C4—564no—
622C2×C4—564no—
623C2×C4—564no—
624C2×C4C2×C4⋊Dic712yes—
625C2×C4C2×C4⋊Dic712yes—
626C2×C4C2×C4⋊Dic712yes—
627C2×C4C2×C4⋊Dic712yes—
628C2×C4C22×Dic1411yescharacteristic
629C2×C4C2×D4×D711yescharacteristic
630C2×C4C2×#115911yescharacteristic
631C2×C4#655311yescharacteristic
632C2×C4#655411yescharacteristic
633C2×C4C23×Dic711yescharacteristic
634C8—22no—
635C8—22no—
636C8—22no—
637C8D4×Dic714yescomplemented
638C7#2266111yescharacteristic, complemented, Sylow
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22#8989314yescomplemented
653C22D4×D2811yescharacteristic
654C22#9024611yescharacteristic
655C22C2×#647111yescharacteristic
656C22C2×#647211yescharacteristic
657C22#9044311yescharacteristic
658C22#9044411yescharacteristic
659C22C22×C4⋊Dic711yescharacteristic
660C4—22no—
661C4—22no—
662C4—22no—
663C4—22no—
664C4—282no—
665C4—282no—
666C4—561no—
667C4—561no—
668C4—561no—
669C4—561no—
670C4—561no—
671C4—561no—
672C4D4×Dic1411yescharacteristic
673C4#9023411yescharacteristic
674C4C2×D4×Dic711yescharacteristic
675C4#9051811yescharacteristic
676C2—24no—
677C2—42no—
678C2#1173691411yescharacteristic
679C2#1173691711yescharacteristic
680C2#1173693811yescharacteristic
681C2#1173695211yescharacteristic
682C2D4×C4⋊Dic711yescharacteristic
683C2C2×#8989311yescharacteristic
684C2#1174123011yescharacteristic
subgroupG/H
centerC23C22×D28
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC2×C7×#435C2
socleC23×C7C22×D4
prime radicalC22×C7×D4D4
cosocleC22×C4×C7C24
hypercenterC2×#435D7
hypocenterC7#22661
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
2. C2×#89893C2semidirect
3. C22×#6392C2semidirect
6. #11729742C2semidirect
7. #11729724C2semidirect
8. #11728209C2semidirect
9. #11728207C2semidirect
10. #11727683C2semidirect
11. #11727682C2semidirect
12. #11727681C2semidirect
13. #11727681C2semidirect
14. #11727570C2semidirect
15. #11727568C2semidirect
24. C7×#435C4semidirect
71. C2×C7×M16C2×C4semidirect
74. C22×C7×C8C2×C4semidirect
115. C7×C4⋊C8C2×C4semidirect
116. C7×C22⋊C8C2×C4semidirect
117. C7×C22⋊C8C2×C4semidirect
118. C7×#97C2×C4semidirect
132. #6392D4semidirect
247. #435Dic7semidirect
357. C7×C8C4×D4semidirect
366. C2×M16C2×Dic7semidirect
369. C22×C8C2×Dic7semidirect
420. C4⋊C8C2×Dic7semidirect
421. C22⋊C8C2×Dic7semidirect
422. C22⋊C8C2×Dic7semidirect
423. #97C2×Dic7semidirect
445. C22×C7#428semidirect
637. C8D4×Dic7semidirect
638. C7#22661semidirect
652. C22#89893semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#4352
C2×#898932
C22×#63922
#117397802
D4×C4⋊Dic72
#117297422
#117297242
#117282092
#117282072
#117276832
#117276822
#117276812
#117275702
#117275682
#226617