Finite Group Databasebeta

← #14217779

Subgroups — #14217779

Order 1792.

2756 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90441C211yesmaximal, characteristic, complemented
2C2×D7×#131C211yesmaximal, characteristic, complemented
3#41×D28C211yesmaximal, characteristic
4C7×#2875C211yesmaximal, characteristic, complemented
5#11741238C211yesmaximal, characteristic, complemented
6#11741238C211yesmaximal, characteristic, complemented
7#11739957C211yesmaximal, characteristic, complemented
8#11736000C213yesmaximal, complemented
9#11736000C213yesmaximal, complemented
10#11735999C213yesmaximal, complemented
11#11735998C213yesmaximal, complemented
12#11735967C213yesmaximal, complemented
13M16×D28C213yesmaximal, complemented
14#11735936C213yesmaximal, complemented
15C2×#89478C213yesmaximal, complemented
16C2×D7×#41C2211yescharacteristic
17C2×D7×#41C2211yescharacteristic
18C2×C7×#131C2211yescharacteristic
19C2×C7×#131C2211yescharacteristic
20C4×C7×#41C2211yescharacteristic
21C2×#6511C2211yescharacteristic
22C2×#6511C2211yescharacteristic
23#90441—28no—
24D7×#131—28no—
25C2×#6470C2213yescomplemented
26C2×#6470C2213yescomplemented
27C2×D7×M16C2213yescomplemented
28C2×D7×M16C2213yescomplemented
29C2×#6464C2213yescomplemented
30C2×#6464C2213yescomplemented
31C22×#1131C2213yescomplemented
32C22×C8×D7C2213yescomplemented
33#90268C411yescharacteristic
34#90267C411yescharacteristic
35#90267C411yescharacteristic
36Q8×D28C411yescharacteristic
37#90246C413yes—
38#90245C413yes—
39#90245C413yes—
40D4×D28C413yes—
41#90215C2213yes—
42#90215C2213yes—
43#90168C2213yes—
44C2×C4×D28C2213yes—
45C7×#405C2213yescomplemented
46C7×#405C2213yescomplemented
47C4×C7×M16C2213yescomplemented
48C2×C7×#97C2213yescomplemented
49#89901C2213yescomplemented
50#89901C2213yescomplemented
51#89898C2213yescomplemented
52#89898C2213yescomplemented
53#89882C2213yescomplemented
54#89882C2213yescomplemented
55C2×(C2×D7)⋊C8C2213yescomplemented
56C2×(C2×D7)⋊C8C2213yescomplemented
57#89771C2213yescomplemented
58#89771C2213yescomplemented
59#89696C2213yescomplemented
60C2×C4⋊(C7⋊C8)C2213yescomplemented
61#89478C2211yescharacteristic
62#89478C2213yes—
63#89478C2213yescomplemented
64#89478C2213yescomplemented
65#89478C2213yescomplemented
66#89478C2213yescomplemented
67#89478C2213yescomplemented
68#89478C2213yescomplemented
69#89478C2216yescomplemented
70#89478C2216yescomplemented
71#89478C2216yescomplemented
72#89460C2216yescomplemented
73#89460C2216yescomplemented
74C8×D28C2216yescomplemented
75C8×D28C2216yescomplemented
76#60146—71nomaximal, Sylow
77C2×C7×#41C2311yescharacteristic
78D7×#41—24no—
79D7×#41—24no—
80D7×#41—24no—
81D7×#41—24no—
82C2×#1161C2×C411yescharacteristic
83C2×#1161C2×C411yescharacteristic
84C2×Q8×D7C2×C411yescharacteristic
85C2×Q8×D7C2×C411yescharacteristic
86C2×#1159C2×C413yes—
87C2×#1159C2×C413yes—
88C2×D4×D7C2×C413yes—
89C2×D4×D7C2×C413yes—
90C2×#1157C2313yes—
91C2×#1157C2313yes—
92C22×D28C2×C413yes—
93C22×C4×D7C2313yes—
94C22×C4×D7C2313yes—
95C7×#131—24no—
96C7×#131D418yescomplemented
97C2×C7×M16C2313yes—
98C2×C7×M16C2313yes—
99C22×C7×C8C2313yes—
100C22×C7×C8C2313yes—
101C4×C7×Q8C2×C411yescharacteristic
102C4×C7×Q8C2×C411yescharacteristic
103C4×C7×D4C2×C413yes—
104C4×C7×D4C2×C413yes—
105C7×#117C2313yes—
106C2×C42×C7C2313yes—
107#6511—24no—
108#6511—24no—
109#6493C2×C416yes—
110#6493C2×C416yes—
111C2×(C2×D7)⋊C4C2×C413yes—
112C2×(C2×D7)⋊C4C2×C413yes—
113C2×C4⋊Dic7C2×C413yes—
114C2×#1136C2313yes—
115C2×#1136C2313yes—
116C22×C7⋊C8C2313yes—
117C22×C7⋊C8C2313yes—
118#6470—212no—
119#6470—212no—
120D7×M16—212no—
121D7×M16—212no—
122#6464—212no—
123#6464—212no—
124C2×#1131—212no—
125C2×#1131C2311yescharacteristic
126C2×#1131C2313yes—
127C2×#1131C2313yes—
128C2×#1131C2313yes—
129C2×#1131C2316yes—
130C2×C8×D7—212no—
131C2×C8×D7C2311yescharacteristic
132C2×C8×D7C2313yes—
133C2×C8×D7C2313yes—
134C2×C8×D7C2313yes—
135C2×C8×D7C2316yes—
136#6460C2×C413yes—
137#6460C2×C413yes—
138#6460C2×C413yes—
139#6460C2×C413yes—
140#6458C2×C413yes—
141#6458C2×C413yes—
142#6458C2×C413yes—
143#6458C2×C413yes—
144#6449C2×C416yes—
145#6449C2×C416yes—
146#6445C2×C416yes—
147#6445C2×C416yes—
148#6438C2×C413yes—
149#6438C2×C413yes—
150#6437C2×C413yes—
151C4×D28C2×C413yes—
152C4×D28C2×C413yes—
153C4×D28C2×C413yes—
154C4×D28C2×C413yes—
155C4×D28C2311yescharacteristic
156C4×D28C2313yes—
157C4×D28C2313yes—
158C4×D28C2313yes—
159C4×D28C2316yes—
160#6432C2×C413yes—
161C7×#97C2311yescharacteristic
162C7×#97C2313yes—
163C7×#97C2313yes—
164C7×#97C2313yes—
165C4×C7×C8C2316yes—
166(C2×D7)⋊C8C2311yescharacteristic
167(C2×D7)⋊C8C2311yescharacteristic
168(C2×D7)⋊C8C2313yes—
169(C2×D7)⋊C8C2313yes—
170(C2×D7)⋊C8C2313yes—
171(C2×D7)⋊C8C2313yes—
172(C2×D7)⋊C8C2313yes—
173(C2×D7)⋊C8C2313yes—
174(C2×D7)⋊C8C2316yes—
175(C2×D7)⋊C8C2316yes—
176C4⋊(C7⋊C8)C2311yescharacteristic
177C4⋊(C7⋊C8)C2313yes—
178C4⋊(C7⋊C8)C2313yes—
179C4⋊(C7⋊C8)C2313yes—
180C4⋊(C7⋊C8)C2316yes—
181C2×#568—71no—
182C22×#131—71no—
183D4×#41—71no—
184#2935—73no—
185D4×M16—73no—
186#2933—73no—
187#2933—73no—
188#2932—73no—
189#2930—73no—
190#2929—73no—
191C2×#435—73no—
192#2906—71no—
193#2880—71no—
194#2880—71no—
195#2875D711yescharacteristic, complemented
196C23×D7C22×C413yes—
197C23×D7C22×C413yes—
198C7×#41C2×D414yes—
199C7×#41#4114yes—
200C2×C7×Q8C22×C411yescharacteristic
201C2×C7×D4C22×C413yes—
202C22×C4×C7C22×C413yes—
203C22×C4×C7C22×C413yes—
204C22×C4×C7C2413yes—
205C2×C22⋊D7C22×C416yes—
206C2×C22⋊D7C22×C416yes—
207C22×Dic7C22×C413yes—
208C22×Dic7C22×C413yes—
209#1161—24no—
210#1161—24no—
211Q8×D7—24no—
212Q8×D7—24no—
213#1159—212no—
214#1159—212no—
215D4×D7—212no—
216D4×D7—212no—
217#1157—26no—
218#1157—26no—
219#1157—26no—
220#1157—26no—
221C2×D28—46no—
222C2×D28C22×C411yescharacteristic
223C2×D28C22×C413yes—
224C2×D28C22×C413yes—
225C2×D28C22×C413yes—
226C2×D28C22×C413yes—
227C2×D28C22×C413yes—
228C2×D28C22×C416yes—
229C2×C4×D7—26no—
230C2×C4×D7—26no—
231C2×C4×D7—26no—
232C2×C4×D7—26no—
233C2×C4×D7C22×C413yes—
234C2×C4×D7C22×C413yes—
235C2×C4×D7C22×C413yes—
236C2×C4×D7C22×C413yes—
237C2×C4×D7C2411yescharacteristic
238C2×C4×D7C2413yes—
239C2×C4×D7C2413yes—
240C2×C4×D7C2411yescharacteristic
241C2×Dic14C22×C413yes—
242C2×Dic14C22×C413yes—
243C7×M16—26no—
244C7×M16C2×D4112yescomplemented
245C2×C7×C8—26no—
246C2×C7×C8C2×D4112yescomplemented
247C2×C7×C8C2413yes—
248C2×C7×C8C2411yescharacteristic
249C2×C7×C8C2413yes—
250C2×C7×C8C2411yescharacteristic
251C7×C4⋊C4C22×C413yes—
252C7×C4⋊C4C22×C413yes—
253C7×C22⋊C4C22×C416yes—
254C42×C7C22×C413yes—
255C42×C7C22×C413yes—
256C42×C7C2413yes—
257C42×C7C2411yescharacteristic
258(C2×D7)⋊C4C22×C411yescharacteristic
259(C2×D7)⋊C4C22×C411yescharacteristic
260(C2×D7)⋊C4C22×C413yes—
261(C2×D7)⋊C4C22×C413yes—
262(C2×D7)⋊C4C22×C413yes—
263(C2×D7)⋊C4C22×C413yes—
264(C2×D7)⋊C4C22×C413yes—
265(C2×D7)⋊C4C22×C413yes—
266(C2×D7)⋊C4C22×C416yes—
267(C2×D7)⋊C4C22×C416yes—
268C4⋊Dic7C22×C413yes—
269C4⋊Dic7C22×C416yes—
270C4⋊Dic7C22×C411yescharacteristic
271C4⋊Dic7C22×C413yes—
272C4⋊Dic7C22×C413yes—
273#1136—26no—
274#1136—26no—
275C2×C7⋊C8—26no—
276C2×C7⋊C8—26no—
277C2×C7⋊C8C2411yescharacteristic
278C2×C7⋊C8C2413yes—
279C2×C7⋊C8C2413yes—
280C2×C7⋊C8C2411yescharacteristic
281#1131—22no—
282#1131—26no—
283#1131—26no—
284#1131—26no—
285#1131—212no—
286C8×D7—22no—
287C8×D7—26no—
288C8×D7—26no—
289C8×D7—26no—
290C8×D7—212no—
291C22×#41—71no—
292C22×#41—71no—
293#568—148no—
294C2×#131—71no—
295C2×#131—71no—
296C2×#131—73no—
297C2×#131—73no—
298C2×#131—73no—
299C2×#131—73no—
300C2×#131—148no—
301C2×#131C2×D711yescharacteristic
302C2×#131C2×D711yescharacteristic
303C22×M16—73no—
304C22×M16—73no—
305C22×M16—73no—
306C23×C8—73no—
307#550—71no—
308D4×Q8—71no—
309#548—71no—
310#548—71no—
311#547—73no—
312#546—73no—
313#546—73no—
314D42—73no—
315#532—73no—
316#525—73no—
317#525—73no—
318C4×#41C2×D711yescharacteristic
319C2×C4×D4—73no—
320#436—76no—
321#436—76no—
322#435—71no—
323#435—73no—
324#435—73no—
325#435—73no—
326#435—73no—
327#435—73no—
328#435—73no—
329#435—73no—
330#435—76no—
331#435—76no—
332#435—76no—
333C8×D4—76no—
334C8×D4—76no—
335#424—73no—
336#424—73no—
337#423—73no—
338C2×C4⋊C8—73no—
339#408—73no—
340#408—73no—
341#408—73no—
342#408—73no—
343#407—73no—
344#407—73no—
345C2×C22⋊C8—73no—
346C2×C22⋊C8—73no—
347#405C2×D713yescomplemented
348#405C2×D713yescomplemented
349C4×M16C2×D713yescomplemented
350C2×#97C2×D713yescomplemented
351C23×C7C23×C413yes—
352C22×D7—26no—
353C22×D7—26no—
354C22×D7—26no—
355C22×D7—43no—
356C22×D7—43no—
357C22×D7—43no—
358C22×D7C23×C411yescharacteristic
359C22×D7C23×C413yes—
360C22×D7C23×C413yes—
361C22×D7C23×C411yescharacteristic
362C7×Q8C4×D414yes—
363C7×D4C4×D4112yes—
364C2×C4×C7—43no—
365C2×C4×C7—43no—
366C2×C4×C7C23×C411yescharacteristic
367C2×C4×C7C23×C413yes—
368C2×C4×C7C23×C413yes—
369C2×C4×C7C23×C411yescharacteristic
370C2×C4×C7C23×C413yes—
371C2×C4×C7C22×D416yes—
372C2×C4×C7C2×#4116yes—
373C2×C4×C7C2511yescharacteristic
374C22⋊D7—212no—
375C22⋊D7—212no—
376C2×Dic7—26no—
377C2×Dic7—26no—
378C2×Dic7C23×C413yes—
379C2×Dic7C23×C413yes—
380C2×Dic7C23×C411yescharacteristic
381C2×Dic7C23×C411yescharacteristic
382D28—22no—
383D28—26no—
384D28—26no—
385D28—26no—
386D28—43no—
387D28—43no—
388D28—46no—
389C4×D7—26no—
390C4×D7—26no—
391C4×D7—26no—
392C4×D7—26no—
393C4×D7—21no—
394C4×D7—23no—
395C4×D7—23no—
396C4×D7—21no—
397C4×D7—21no—
398C4×D7—21no—
399C4×D7—23no—
400C4×D7—23no—
401Dic14—26no—
402Dic14—26no—
403C7×C8—21no—
404C7×C8—23no—
405C7×C8C22×D412yes—
406C7×C8C22×D416yes—
407C7⋊C8—21no—
408C7⋊C8—23no—
409C7⋊C8—23no—
410C7⋊C8—21no—
411C2×#41—71no—
412C2×#41—71no—
413C2×#41—73no—
414C2×#41—73no—
415C2×#41—73no—
416C2×#41—73no—
417C2×#41—144no—
418C2×#41—144no—
419C2×#41—144no—
420C2×#41—144no—
421C2×#41C22×D711yescharacteristic
422C22×Q8—71no—
423C22×Q8—71no—
424C22×D4—73no—
425C22×D4—73no—
426C22×D4—73no—
427C23×C4—73no—
428C23×C4—73no—
429#131—24no—
430#131—144no—
431#131—144no—
432#131—1412no—
433#131—1412no—
434#131—1412no—
435#131—1412no—
436#131D2818yescomplemented
437C2×M16—73no—
438C2×M16—73no—
439C2×M16—71no—
440C2×M16—73no—
441C2×M16—73no—
442C2×M16—76no—
443C2×M16—73no—
444C2×M16—1412no—
445C2×M16—1412no—
446C2×M16—1412no—
447C2×M16C22×D713yes—
448C2×M16C22×D713yes—
449C22×C8—73no—
450C22×C8—73no—
451C22×C8—71no—
452C22×C8—73no—
453C22×C8—73no—
454C22×C8—73no—
455C22×C8—76no—
456C22×C8—1412no—
457C22×C8C22×D713yes—
458C22×C8C22×D713yes—
459C4⋊Q8—73no—
460#127—73no—
461#124—73no—
462#124—73no—
463#123—76no—
464#123—76no—
465C22⋊Q8—73no—
466C22⋊Q8—73no—
467C22⋊Q8—73no—
468C22⋊Q8—73no—
469#121—76no—
470#121—76no—
471#121—73no—
472#121—73no—
473#121—73no—
474#121—73no—
475#120—76no—
476#120—76no—
477C4×Q8C4×D711yescharacteristic
478C4×Q8C4×D711yescharacteristic
479C4×D4—73no—
480C4×D4—73no—
481C4×D4—73no—
482C4×D4—73no—
483C4×D4—71no—
484C4×D4—73no—
485C4×D4—73no—
486C4×D4—73no—
487C4×D4—76no—
488C4×D4C4×D713yes—
489C4×D4C4×D713yes—
490#117C22×D713yes—
491C2×C4⋊C4—73no—
492C2×C22⋊C4—73no—
493C2×C22⋊C4—73no—
494C2×C42C22×D713yes—
495C4⋊C8—71no—
496C4⋊C8—73no—
497C4⋊C8—73no—
498C4⋊C8—73no—
499C4⋊C8—76no—
500C22⋊C8—71no—
501C22⋊C8—71no—
502C22⋊C8—73no—
503C22⋊C8—73no—
504C22⋊C8—73no—
505C22⋊C8—73no—
506C22⋊C8—73no—
507C22⋊C8—73no—
508C22⋊C8—76no—
509C22⋊C8—76no—
510#97C22×D711yescharacteristic
511#97C22×D713yes—
512#97C22×D713yes—
513#97C22×D713yes—
514C4×C8C22×D716yes—
515C22×C7—23no—
516C22×C7—23no—
517C22×C7C2×C4×D416yes—
518C22×C7C24×C411yescharacteristic
519C2×D7—21no—
520C2×D7—21no—
521C2×D7—21no—
522C2×D7—23no—
523C2×D7—23no—
524C2×D7—21no—
525C2×D7—23no—
526C2×D7—23no—
527C2×D7—23no—
528C2×D7—23no—
529C2×D7—21no—
530C2×D7—412no—
531C2×D7—86no—
532C2×D7#56812yescomplemented
533C4×C7—21no—
534C4×C7—23no—
535C4×C7—23no—
536C4×C7—21no—
537C4×C7C2×C4×D416yes—
538C4×C7C23×D411yescharacteristic
539C4×C7C22×#4111yescharacteristic
540Dic7—23no—
541Dic7—23no—
542Dic7—21no—
543Dic7—21no—
544C24—73no—
545C24—73no—
546#41—144no—
547#41—144no—
548#41—1412no—
549#41—1412no—
550#41—146no—
551#41—146no—
552#41—146no—
553#41—146no—
554#41C2×D2814yes—
555#41#115714yes—
556C2×Q8—73no—
557C2×Q8—73no—
558C2×Q8—144no—
559C2×Q8—144no—
560C2×Q8C2×C4×D711yescharacteristic
561C2×D4—76no—
562C2×D4—76no—
563C2×D4—71no—
564C2×D4—73no—
565C2×D4—73no—
566C2×D4—73no—
567C2×D4—73no—
568C2×D4—73no—
569C2×D4—76no—
570C2×D4—1412no—
571C2×D4—1412no—
572C2×D4—286no—
573C2×D4C2×C4×D713yes—
574C22×C4—73no—
575C22×C4—73no—
576C22×C4—73no—
577C22×C4—73no—
578C22×C4—73no—
579C22×C4—73no—
580C22×C4—71no—
581C22×C4—73no—
582C22×C4—73no—
583C22×C4—71no—
584C22×C4—146no—
585C22×C4—146no—
586C22×C4—146no—
587C22×C4—146no—
588C22×C4C2×C4×D713yes—
589C22×C4C2×C4×D713yes—
590C22×C4C23×D713yes—
591M16—26no—
592M16—146no—
593M16—146no—
594M16—142no—
595M16—146no—
596M16—146no—
597M16—146no—
598M16—1412no—
599M16C2×D28112yescomplemented
600C2×C8—26no—
601C2×C8—71no—
602C2×C8—71no—
603C2×C8—73no—
604C2×C8—73no—
605C2×C8—146no—
606C2×C8—146no—
607C2×C8—142no—
608C2×C8—146no—
609C2×C8—146no—
610C2×C8—146no—
611C2×C8—1412no—
612C2×C8C2×D28112yescomplemented
613C2×C8C23×D713yes—
614C2×C8C23×D711yescharacteristic
615C2×C8C23×D713yes—
616C2×C8C23×D711yescharacteristic
617C4⋊C4—71no—
618C4⋊C4—73no—
619C4⋊C4—73no—
620C4⋊C4—73no—
621C4⋊C4—76no—
622C4⋊C4C2×C4×D713yes—
623C4⋊C4C2×C4×D713yes—
624C22⋊C4—71no—
625C22⋊C4—71no—
626C22⋊C4—73no—
627C22⋊C4—73no—
628C22⋊C4—73no—
629C22⋊C4—73no—
630C22⋊C4—73no—
631C22⋊C4—73no—
632C22⋊C4—76no—
633C22⋊C4—76no—
634C22⋊C4C2×C4×D716yes—
635C42C2×C4×D713yes—
636C42C2×C4×D713yes—
637C42C23×D713yes—
638C42C23×D711yescharacteristic
639C2×C7—26no—
640C2×C7C22×C4×D411yescharacteristic
641C2×C7C2×#56811yescharacteristic
642C2×C7#357311yescharacteristic
643D7—22no—
644D7—43no—
645D7—43no—
646D7—41no—
647C23—71no—
648C23—71no—
649C23—73no—
650C23—73no—
651C23—146no—
652C23—146no—
653C23—146no—
654C23—283no—
655C23—283no—
656C23—283no—
657C23C22×C4×D713yes—
658Q8—146no—
659Q8—146no—
660Q8C4×D2814yes—
661D4—146no—
662D4—142no—
663D4—1412no—
664D4—1412no—
665D4—146no—
666D4—146no—
667D4—286no—
668D4—283no—
669D4—283no—
670D4C4×D28112yes—
671C2×C4—43no—
672C2×C4—43no—
673C2×C4—71no—
674C2×C4—71no—
675C2×C4—73no—
676C2×C4—73no—
677C2×C4—146no—
678C2×C4—146no—
679C2×C4—146no—
680C2×C4—146no—
681C2×C4—146no—
682C2×C4—146no—
683C2×C4—141no—
684C2×C4—143no—
685C2×C4—143no—
686C2×C4—141no—
687C2×C4—141no—
688C2×C4—141no—
689C2×C4—143no—
690C2×C4—143no—
691C2×C4C22×C4×D711yescharacteristic
692C2×C4C22×C4×D711yescharacteristic
693C2×C4C22×C4×D713yes—
694C2×C4C22×C4×D713yes—
695C2×C4C22×C4×D713yes—
696C2×C4C22×D2816yes—
697C2×C4C2×#115716yes—
698C2×C4C24×D711yescharacteristic
699C8—21no—
700C8—23no—
701C8—141no—
702C8—143no—
703C8—143no—
704C8—141no—
705C8C22×D2812yes—
706C8C22×D2816yes—
707C7#6014611yescharacteristic, complemented, Sylow
708C22—23no—
709C22—23no—
710C22—72no—
711C22—141no—
712C22—141no—
713C22—141no—
714C22—143no—
715C22—143no—
716C22—141no—
717C22—143no—
718C22—143no—
719C22—143no—
720C22—143no—
721C22—141no—
722C22—2812no—
723C22—566no—
724C22C2×C4×D2816yes—
725C22C23×C4×D711yescharacteristic
726C4—21no—
727C4—23no—
728C4—21no—
729C4—23no—
730C4—141no—
731C4—141no—
732C4—143no—
733C4—143no—
734C4C2×C4×D2816yes—
735C4C23×D2811yescharacteristic
736C4C22×#115711yescharacteristic
737C2—26no—
738C2—142no—
739C2—283no—
740C2—281no—
741C2—283no—
742C2C22×C4×D2811yescharacteristic
743C2D7×#56811yescharacteristic
744C2#1174423411yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D7
commutator, socleC22×C7C24×C4
FittingC7×#2875C2
prime radical#41×D28C2
cosocleC2×C4×C7C25
hypercenter#2875D7
hypocenterC7#60146
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C2×C4 ◁ #2875

Complements

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

NH ≅ G/Ntype
1. C2×#90441C2semidirect
2. C2×D7×#131C2semidirect
4. C7×#2875C2semidirect
5. #11741238C2semidirect
6. #11741238C2semidirect
7. #11739957C2semidirect
8. #11736000C2semidirect
9. #11736000C2semidirect
10. #11735999C2semidirect
11. #11735998C2semidirect
12. #11735967C2semidirect
13. M16×D28C2semidirect
14. #11735936C2semidirect
15. C2×#89478C2semidirect
25. C2×#6470C22semidirect
26. C2×#6470C22semidirect
27. C2×D7×M16C22semidirect
28. C2×D7×M16C22semidirect
29. C2×#6464C22semidirect
30. C2×#6464C22semidirect
31. C22×#1131C22semidirect
32. C22×C8×D7C22semidirect
45. C7×#405C22semidirect
46. C7×#405C22semidirect
47. C4×C7×M16C22semidirect
48. C2×C7×#97C22semidirect
49. #89901C22semidirect
50. #89901C22semidirect
51. #89898C22semidirect
52. #89898C22semidirect
53. #89882C22semidirect
54. #89882C22semidirect
55. C2×(C2×D7)⋊C8C22semidirect
56. C2×(C2×D7)⋊C8C22semidirect
57. #89771C22semidirect
58. #89771C22semidirect
59. #89696C22semidirect
60. C2×C4⋊(C7⋊C8)C22semidirect
63. #89478C22semidirect
64. #89478C22semidirect
65. #89478C22semidirect
66. #89478C22semidirect
67. #89478C22semidirect
68. #89478C22semidirect
69. #89478C22semidirect
70. #89478C22semidirect
71. #89478C22semidirect
72. #89460C22semidirect
73. #89460C22semidirect
74. C8×D28C22semidirect
75. C8×D28C22semidirect
96. C7×#131D4semidirect
195. #2875D7semidirect
244. C7×M16C2×D4semidirect
246. C2×C7×C8C2×D4semidirect
347. #405C2×D7semidirect
348. #405C2×D7semidirect
349. C4×M16C2×D7semidirect
350. C2×#97C2×D7semidirect
436. #131D28semidirect
532. C2×D7#568semidirect
599. M16C2×D28semidirect
612. C2×C8C2×D28semidirect
707. C7#60146semidirect

Maximal subgroups

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

subgroupindex
C2×#904412
C2×D7×#1312
#41×D282
C7×#28752
#117412382
#117399572
#117360002
#117359992
#117359982
#117359672
M16×D282
#117359362
C2×#894782
#601467