Finite Group Databasebeta

← C2×D7×#428 #14217447

Subgroups — C2×D7×#428 #14217447

Order 1792.

3182 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D7×M16C211yesmaximal, characteristic
2C2×D7×#117C211yesmaximal, characteristic
3C22×D7×C4⋊C4C211yesmaximal, characteristic
4C2×C7×#428C211yesmaximal, characteristic, complemented
5C2×#89893C211yesmaximal, characteristic, complemented
6C2×#89767C211yesmaximal, characteristic, complemented
7C2×#89736C211yesmaximal, characteristic, complemented
8D7×#428C2116yesmaximal, direct product factor
9C2×#89653C212yesmaximal, complemented
10C2×D7×#107C212yesmaximal, complemented
11C2×#89633C212yesmaximal, complemented
12C2×D7×#106C212yesmaximal, complemented
13C23×C4×D7—21no—
14C23×C4×D7C2211yescharacteristic
15C22×C7×M16C2211yescharacteristic
16C2×C7×#117C2211yescharacteristic
17C22×C7×C4⋊C4C2211yescharacteristic
18C2×#6489C2211yescharacteristic
19C22×C4⋊Dic7C2211yescharacteristic
20C22×Dic7⋊C4—21no—
21C22×#1136C2211yescharacteristic
22C2×D7×M16C4116yescomplemented
23C2×D7×M16C2218yes—
24C22×#1131C2212yes—
25C22×C8×D7C2212yes—
26D7×#117—24no—
27D7×#117C2218yes—
28C2×#6455C2211yescharacteristic
29C2×#6455C2211yescharacteristic
30C2×D7×C4⋊C4—21no—
31C2×D7×C4⋊C4—21no—
32C2×D7×C4⋊C4—24no—
33C2×D7×C4⋊C4C2211yescharacteristic
34C2×D7×C4⋊C4C2212yes—
35C2×D7×C4⋊C4C2212yes—
36C2×D7×C4⋊C4C2218yes—
37C2×D7×C4⋊C4C2211yescharacteristic
38C2×D7×C22⋊C4—21no—
39C2×#6440—21no—
40C2×#6435—21no—
41C2×C42×D7—21no—
42C7×#428C2218yescomplemented
43C2×C7×#107C2212yescomplemented
44C2×C7×#106C2212yescomplemented
45#89893C2218yescomplemented
46C2×#6392C2212yescomplemented
47C2×#6391C2212yescomplemented
48#89767C2218yescomplemented
49#89736C2218yescomplemented
50C2×#6382C2212yescomplemented
51C2×#6382C2212yescomplemented
52C2×#6381C2212yescomplemented
53C2×#6381C2212yescomplemented
54#89653C22116yescomplemented
55D7×#107C22116yescomplemented
56#89633C22116yescomplemented
57D7×#106C22116yescomplemented
58C22×#428—71nomaximal, Sylow
59C24×D7D411yescharacteristic
60C23×C4×C7—21no—
61C23×C4×C7C2311yescharacteristic
62C23×Dic7—21no—
63C23×Dic7D411yescharacteristic
64C22×C4×D7—21no—
65C22×C4×D7—21no—
66C22×C4×D7—28no—
67C22×C4×D7—22no—
68C22×C4×D7—22no—
69C22×C4×D7—48no—
70C22×C4×D7C2×C418yes—
71C22×C4×D7D411yescharacteristic
72C22×C4×D7D411yescharacteristic
73C22×C4×D7D414yes—
74C22×C4×D7Q818yes—
75C22×C4×D7C2311yescharacteristic
76C22×C4×D7C2311yescharacteristic
77C22×C4×D7C2314yes—
78C2×C7×M16C2×C418yescomplemented
79C2×C7×M16C2314yes—
80C22×C7×C8C2312yes—
81C7×#117—22no—
82C7×#117C2314yes—
83C2×C7×C4⋊C4—21no—
84C2×C7×C4⋊C4—22no—
85C2×C7×C4⋊C4C2312yes—
86C2×C7×C4⋊C4C2314yes—
87C2×C7×C4⋊C4C2311yescharacteristic
88C2×C7×C4⋊C4C2311yescharacteristic
89C2×C7×C22⋊C4—21no—
90C2×C42×C7—21no—
91C2×C22⋊Dic7—21no—
92C2×(C2×D7)⋊C4—21no—
93C2×(C2×D7)⋊C4—21no—
94#6489—22no—
95#6489C2314yes—
96C2×C4⋊Dic7—21no—
97C2×C4⋊Dic7—22no—
98C2×C4⋊Dic7C2311yescharacteristic
99C2×C4⋊Dic7C2312yes—
100C2×C4⋊Dic7C2311yescharacteristic
101C2×C4⋊Dic7C2314yes—
102C2×Dic7⋊C4—21no—
103C2×Dic7⋊C4—21no—
104C2×Dic7⋊C4—28no—
105C2×Dic7⋊C4—22no—
106C2×Dic7⋊C4—22no—
107C2×C4×Dic7—21no—
108C2×C4×Dic7—21no—
109C2×C4×Dic7—21no—
110C2×#1136C2×C418yescomplemented
111C2×#1136C2314yes—
112C22×C7⋊C8C2312yes—
113D7×M16C2×C4164yescomplemented
114C2×#1131C2×C4116yescomplemented
115C2×#1131C2318yes—
116C2×C8×D7C2×C4116yescomplemented
117C2×C8×D7C2318yes—
118#6455—22no—
119#6455—22no—
120#6455C2314yes—
121#6455C2314yes—
122D7×C4⋊C4—28no—
123D7×C4⋊C4—28no—
124D7×C4⋊C4—24no—
125D7×C4⋊C4—24no—
126D7×C4⋊C4—22no—
127D7×C4⋊C4—22no—
128D7×C4⋊C4C2314yes—
129D7×C4⋊C4C2318yes—
130D7×C4⋊C4C2318yes—
131D7×C4⋊C4C2314yes—
132D7×C22⋊C4—28no—
133#6440—28no—
134#6435—28no—
135C42×D7—28no—
136C7×#107C2318yescomplemented
137C7×#106C2318yescomplemented
138#6392C2318yescomplemented
139#6391C2318yescomplemented
140#6382C2318yescomplemented
141#6382C2318yescomplemented
142#6381C2318yescomplemented
143#6381C2318yescomplemented
144C23×M16—71no—
145C22×#117—71no—
146C23×C4⋊C4—71no—
147C2×#428—716no—
148C2×#428—72no—
149C2×#428—72no—
150C2×#428—71no—
151C2×#428—71no—
152C2×#428—71no—
153C2×#428D711yescharacteristic, direct product factor
154C22×#107—72no—
155C22×#106—72no—
156C24×C7C2×D411yescharacteristic
157C23×D7—24no—
158C23×D7—24no—
159C23×D7C4⋊C418yes—
160C23×D7C2×D414yes—
161C23×D7C2×D411yescharacteristic
162C23×D7C2×D411yescharacteristic
163C22×C4×C7—21no—
164C22×C4×C7—21no—
165C22×C4×C7—24no—
166C22×C4×C7—22no—
167C22×C4×C7—44no—
168C22×C4×C7C22×C414yes—
169C22×C4×C7C2×D411yescharacteristic
170C22×C4×C7C2×D412yes—
171C22×C4×C7C2×Q814yes—
172C22×C4×C7C2411yescharacteristic
173C22×C4×C7C2412yes—
174C22×Dic7—21no—
175C22×Dic7—21no—
176C22×Dic7—24no—
177C22×Dic7—22no—
178C22×Dic7—44no—
179C22×Dic7C4⋊C418yes—
180C22×Dic7C2×D414yes—
181C22×Dic7C2×D411yescharacteristic
182C22×Dic7C2×D411yescharacteristic
183C2×C4×D7—24no—
184C2×C4×D7—24no—
185C2×C4×D7—28no—
186C2×C4×D7—28no—
187C2×C4×D7—48no—
188C2×C4×D7—432no—
189C2×C4×D7—44no—
190C2×C4×D7—48no—
191C2×C4×D7—44no—
192C2×C4×D7C4⋊C418yes—
193C2×C4×D7C4⋊C4132yes—
194C2×C4×D7C4⋊C418yes—
195C2×C4×D7C22×C414yes—
196C2×C4×D7C22×C414yes—
197C2×C4×D7C22×C4116yes—
198C2×C4×D7C2×D414yes—
199C2×C4×D7C2×D414yes—
200C2×C4×D7C2×D412yes—
201C2×C4×D7C2×D412yes—
202C2×C4×D7C2×Q814yes—
203C2×C4×D7C2×Q8116yes—
204C2×C4×D7C2×Q814yes—
205C2×C4×D7C2412yes—
206C2×C4×D7C2412yes—
207C7×M16C22×C4116yescomplemented
208C2×C7×C8C22×C418yescomplemented
209C2×C7×C8C2414yes—
210C7×C4⋊C4—24no—
211C7×C4⋊C4—22no—
212C7×C4⋊C4—21no—
213C7×C4⋊C4—21no—
214C7×C4⋊C4C2412yes—
215C7×C4⋊C4C2414yes—
216C7×C4⋊C4C2412yes—
217C7×C22⋊C4—24no—
218C42×C7—24no—
219C22⋊Dic7—24no—
220(C2×D7)⋊C4—24no—
221(C2×D7)⋊C4—24no—
222C4⋊Dic7—24no—
223C4⋊Dic7—22no—
224C4⋊Dic7—21no—
225C4⋊Dic7—21no—
226C4⋊Dic7C2414yes—
227C4⋊Dic7C2412yes—
228C4⋊Dic7C2412yes—
229Dic7⋊C4—24no—
230Dic7⋊C4—24no—
231Dic7⋊C4—28no—
232Dic7⋊C4—28no—
233C4×Dic7—24no—
234C4×Dic7—24no—
235C4×Dic7—24no—
236#1136C22×C4116yescomplemented
237C2×C7⋊C8C22×C418yescomplemented
238C2×C7⋊C8C2414yes—
239#1131C22×C4132yescomplemented
240C8×D7C22×C4132yescomplemented
241C24×C4—71no—
242C24×C4—141no—
243C22×M16—71no—
244C22×M16—716no—
245C22×M16—78no—
246C22×M16—72no—
247C22×M16C2×D711yescharacteristic
248C23×C8—72no—
249C2×#117—71no—
250C2×#117—78no—
251C2×#117—71no—
252C2×#117—71no—
253C2×#117—141no—
254C2×#117—141no—
255C2×#117—144no—
256C2×#117C2×D711yescharacteristic
257C22×C4⋊C4—71no—
258C22×C4⋊C4—71no—
259C22×C4⋊C4—72no—
260C22×C4⋊C4—71no—
261C22×C4⋊C4—72no—
262C22×C4⋊C4—78no—
263C22×C4⋊C4—144no—
264C22×C4⋊C4—141no—
265C22×C4⋊C4—141no—
266C22×C4⋊C4—141no—
267C22×C4⋊C4C2×D711yescharacteristic
268C22×C22⋊C4—141no—
269C22×C42—141no—
270#428—78no—
271#428—78no—
272#428—78no—
273#428—716no—
274#428—716no—
275#428C2×D718yesdirect product factor
276C2×#107—72no—
277C2×#107—72no—
278C2×#107—72no—
279C2×#107—716no—
280C2×#107C2×D712yescomplemented
281C2×#106—72no—
282C2×#106—72no—
283C2×#106—72no—
284C2×#106—716no—
285C2×#106C2×D712yescomplemented
286C23×C7—22no—
287C23×C7—22no—
288C23×C7C2×C4⋊C414yes—
289C23×C7C22×D412yes—
290C23×C7C22×D411yescharacteristic
291C22×D7—22no—
292C22×D7—22no—
293C22×D7—28no—
294C22×D7—28no—
295C22×D7—232no—
296C22×D7C2×C4⋊C414yes—
297C22×D7C2×C4⋊C4116yes—
298C22×D7C2×C4⋊C414yes—
299C22×D7AGL(1,ℤ/8)14yes—
300C22×D7#13714yes—
301C22×D7C22×D412yes—
302C22×D7C22×D412yes—
303C2×C4×C7—22no—
304C2×C4×C7—22no—
305C2×C4×C7—24no—
306C2×C4×C7—48no—
307C2×C4×C7—44no—
308C2×C4×C7—42no—
309C2×C4×C7—42no—
310C2×C4×C7C2×C4⋊C418yes—
311C2×C4×C7C2×C4⋊C414yes—
312C2×C4×C7C23×C412yes—
313C2×C4×C7C23×C414yes—
314C2×C4×C7C22×D412yes—
315C2×C4×C7C22×D411yescharacteristic
316C2×C4×C7C22×Q814yes—
317C2×C4×C7C22×Q812yes—
318C2×C4×C7C2511yescharacteristic
319C2×Dic7—22no—
320C2×Dic7—22no—
321C2×Dic7—24no—
322C2×Dic7—48no—
323C2×Dic7—44no—
324C2×Dic7—42no—
325C2×Dic7—42no—
326C2×Dic7C2×C4⋊C4116yes—
327C2×Dic7C2×C4⋊C414yes—
328C2×Dic7C2×C4⋊C414yes—
329C2×Dic7C22×D412yes—
330C2×Dic7C22×D412yes—
331C4×D7—416no—
332C4×D7—48no—
333C4×D7—416no—
334C4×D7—48no—
335C4×D7C2×C4⋊C418yes—
336C4×D7C2×C4⋊C4116yes—
337C4×D7C2×C4⋊C418yes—
338C4×D7C2×C4⋊C4116yes—
339C4×D7C23×C414yes—
340C4×D7C23×C414yes—
341C4×D7C22×Q814yes—
342C4×D7C22×Q814yes—
343C7×C8C23×C418yescomplemented
344C7⋊C8C23×C418yescomplemented
345C25—71no—
346C23×C4—21no—
347C23×C4—71no—
348C23×C4—78no—
349C23×C4—74no—
350C23×C4—71no—
351C23×C4—71no—
352C23×C4—78no—
353C23×C4—71no—
354C23×C4—74no—
355C23×C4—71no—
356C23×C4—141no—
357C23×C4—141no—
358C23×C4—148no—
359C23×C4—142no—
360C23×C4—142no—
361C23×C4—141no—
362C23×C4—288no—
363C23×C4C22×D711yescharacteristic
364C2×M16—78no—
365C2×M16—74no—
366C2×M16—764no—
367C2×M16—716no—
368C2×M16—78no—
369C2×M16C4×D718yescomplemented
370C2×M16C22×D714yes—
371C22×C8—72no—
372C22×C8—716no—
373C22×C8—78no—
374C22×C8C22×D712yes—
375#117—22no—
376#117—74no—
377#117—74no—
378#117—74no—
379#117—148no—
380#117—148no—
381#117—142no—
382#117—142no—
383#117—142no—
384#117C22×D714yes—
385C2×C4⋊C4—22no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—72no—
388C2×C4⋊C4—74no—
389C2×C4⋊C4—71no—
390C2×C4⋊C4—71no—
391C2×C4⋊C4—78no—
392C2×C4⋊C4—78no—
393C2×C4⋊C4—74no—
394C2×C4⋊C4—74no—
395C2×C4⋊C4—148no—
396C2×C4⋊C4—144no—
397C2×C4⋊C4—148no—
398C2×C4⋊C4—144no—
399C2×C4⋊C4—142no—
400C2×C4⋊C4—142no—
401C2×C4⋊C4—148no—
402C2×C4⋊C4—142no—
403C2×C4⋊C4—142no—
404C2×C4⋊C4—141no—
405C2×C4⋊C4—141no—
406C2×C4⋊C4—142no—
407C2×C4⋊C4—141no—
408C2×C4⋊C4C22×D712yes—
409C2×C4⋊C4C22×D714yes—
410C2×C4⋊C4C22×D711yescharacteristic
411C2×C4⋊C4C22×D711yescharacteristic
412C2×C22⋊C4—21no—
413C2×C22⋊C4—148no—
414C2×C22⋊C4—141no—
415C2×C22⋊C4—141no—
416C2×C22⋊C4—141no—
417C2×C42—21no—
418C2×C42—148no—
419C2×C42—141no—
420C2×C42—141no—
421C2×C42—141no—
422#107—78no—
423#107—78no—
424#107—78no—
425#107C22×D718yescomplemented
426#106—78no—
427#106—78no—
428#106—78no—
429#106C22×D718yescomplemented
430C22×C7—28no—
431C22×C7—22no—
432C22×C7—22no—
433C22×C7C22×C4⋊C414yes—
434C22×C7C22×C4⋊C412yes—
435C22×C7C2×AGL(1,ℤ/8)12yes—
436C22×C7C2×#13712yes—
437C22×C7C23×D411yescharacteristic
438C2×D7—28no—
439C2×D7—22no—
440C2×D7—22no—
441C2×D7—232no—
442C2×D7#428116yesdirect product factor
443C2×D7C22×C4⋊C414yes—
444C2×D7C22×C4⋊C414yes—
445C2×D7C2×AGL(1,ℤ/8)14yes—
446C2×D7C2×#13714yes—
447C4×C7—44no—
448C4×C7—42no—
449C4×C7—42no—
450C4×C7C22×C4⋊C412yes—
451C4×C7C22×C4⋊C414yes—
452C4×C7C24×C411yescharacteristic
453C4×C7C23×Q811yescharacteristic
454Dic7—44no—
455Dic7—42no—
456Dic7—42no—
457Dic7C22×C4⋊C414yes—
458Dic7C22×C4⋊C414yes—
459C24—71no—
460C24—78no—
461C24—74no—
462C24—71no—
463C24—144no—
464C24—144no—
465C24D4×D711yescharacteristic
466C22×C4—24no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—44no—
471C22×C4—78no—
472C22×C4—74no—
473C22×C4—71no—
474C22×C4—71no—
475C22×C4—78no—
476C22×C4—732no—
477C22×C4—78no—
478C22×C4—74no—
479C22×C4—716no—
480C22×C4—74no—
481C22×C4—74no—
482C22×C4—72no—
483C22×C4—72no—
484C22×C4—74no—
485C22×C4—74no—
486C22×C4—716no—
487C22×C4—74no—
488C22×C4—72no—
489C22×C4—72no—
490C22×C4—144no—
491C22×C4—144no—
492C22×C4—148no—
493C22×C4—148no—
494C22×C4—144no—
495C22×C4—141no—
496C22×C4—141no—
497C22×C4—142no—
498C22×C4—284no—
499C22×C4—284no—
500C22×C4—288no—
501C22×C4—2832no—
502C22×C4—288no—
503C22×C4—284no—
504C22×C4C2×C4×D714yes—
505C22×C4D4×D712yes—
506C22×C4D4×D711yescharacteristic
507C22×C4Q8×D714yes—
508C22×C4C23×D712yes—
509C22×C4C23×D711yescharacteristic
510M16—716no—
511M16—732no—
512M16C2×C4×D7116yescomplemented
513C2×C8—78no—
514C2×C8—74no—
515C2×C8—732no—
516C2×C8C2×C4×D718yescomplemented
517C2×C8C23×D714yes—
518C4⋊C4—24no—
519C4⋊C4—22no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—72no—
523C4⋊C4—74no—
524C4⋊C4—72no—
525C4⋊C4—148no—
526C4⋊C4—148no—
527C4⋊C4—144no—
528C4⋊C4—144no—
529C4⋊C4—144no—
530C4⋊C4—142no—
531C4⋊C4—141no—
532C4⋊C4—141no—
533C4⋊C4C23×D712yes—
534C4⋊C4C23×D714yes—
535C4⋊C4C23×D712yes—
536C22⋊C4—24no—
537C22⋊C4—144no—
538C22⋊C4—144no—
539C22⋊C4—144no—
540C42—24no—
541C42—144no—
542C42—144no—
543C42—144no—
544C2×C7—24no—
545C2×C7C2×#42814yescomplemented
546C2×C7C23×C4⋊C411yescharacteristic
547C2×C7C22×AGL(1,ℤ/8)11yescharacteristic
548C2×C7C22×#13711yescharacteristic
549D7—24no—
550D7C2×#42818yesdirect product factor
551C23—22no—
552C23—22no—
553C23—74no—
554C23—74no—
555C23—74no—
556C23—72no—
557C23—716no—
558C23—74no—
559C23—72no—
560C23—148no—
561C23—148no—
562C23—1432no—
563C23—142no—
564C23—142no—
565C23D7×C4⋊C414yes—
566C23C2×D4×D712yes—
567C23C2×D4×D711yescharacteristic
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—48no—
572C2×C4—44no—
573C2×C4—42no—
574C2×C4—42no—
575C2×C4—716no—
576C2×C4—74no—
577C2×C4—74no—
578C2×C4—72no—
579C2×C4—72no—
580C2×C4—78no—
581C2×C4—716no—
582C2×C4—78no—
583C2×C4—716no—
584C2×C4—74no—
585C2×C4—74no—
586C2×C4—74no—
587C2×C4—74no—
588C2×C4—142no—
589C2×C4—142no—
590C2×C4—144no—
591C2×C4—288no—
592C2×C4—288no—
593C2×C4—2816no—
594C2×C4—2816no—
595C2×C4—288no—
596C2×C4—282no—
597C2×C4—284no—
598C2×C4—282no—
599C2×C4D7×C4⋊C418yes—
600C2×C4D7×C4⋊C414yes—
601C2×C4C22×C4×D712yes—
602C2×C4C22×C4×D714yes—
603C2×C4C2×D4×D712yes—
604C2×C4C2×D4×D711yescharacteristic
605C2×C4C2×Q8×D714yes—
606C2×C4C2×Q8×D712yes—
607C2×C4C24×D711yescharacteristic
608C8—78no—
609C8C22×C4×D718yescomplemented
610C7C22×#42811yescharacteristic, complemented, Sylow
611C22—22no—
612C22—22no—
613C22—28no—
614C22—74no—
615C22—74no—
616C22—74no—
617C22—716no—
618C22—74no—
619C22—1432no—
620C22—142no—
621C22—142no—
622C22—148no—
623C22C2×D7×C4⋊C414yes—
624C22C2×D7×C4⋊C412yes—
625C22D7×AGL(1,ℤ/8)12yes—
626C22D7×#13712yes—
627C22C22×D4×D711yescharacteristic
628C4—44no—
629C4—42no—
630C4—42no—
631C4—74no—
632C4—74no—
633C4—284no—
634C4—282no—
635C4—282no—
636C4C2×D7×C4⋊C412yes—
637C4C2×D7×C4⋊C414yes—
638C4C23×C4×D711yescharacteristic
639C4C22×Q8×D711yescharacteristic
640C2—24no—
641C2—78no—
642C2—144no—
643C2D7×#42814yesdirect product factor
644C2C22×D7×C4⋊C411yescharacteristic
645C2C2×D7×AGL(1,ℤ/8)11yescharacteristic
646C2C2×D7×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutatorC4×C7C24×C4
FrattiniC2×C4C24×D7
FittingC2×C7×#428C2
socleC23×C7C22×D4
prime radicalC24×D7D4
cosocleC2×C4×C7C25
hypercenterC2×#428D7
hypocenterC7C22×#428
LCSG ▷ C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
4. C2×C7×#428C2semidirect
5. C2×#89893C2semidirect
6. C2×#89767C2semidirect
7. C2×#89736C2semidirect
8. D7×#428C2direct (N × H)
9. C2×#89653C2semidirect
10. C2×D7×#107C2semidirect
11. C2×#89633C2semidirect
12. C2×D7×#106C2semidirect
22. C2×D7×M16C4semidirect
42. C7×#428C22semidirect
43. C2×C7×#107C22semidirect
44. C2×C7×#106C22semidirect
45. #89893C22semidirect
46. C2×#6392C22semidirect
47. C2×#6391C22semidirect
48. #89767C22semidirect
49. #89736C22semidirect
50. C2×#6382C22semidirect
51. C2×#6382C22semidirect
52. C2×#6381C22semidirect
53. C2×#6381C22semidirect
54. #89653C22semidirect
55. D7×#107C22semidirect
56. #89633C22semidirect
57. D7×#106C22semidirect
78. C2×C7×M16C2×C4semidirect
110. C2×#1136C2×C4semidirect
113. D7×M16C2×C4semidirect
114. C2×#1131C2×C4semidirect
116. C2×C8×D7C2×C4semidirect
136. C7×#107C23semidirect
137. C7×#106C23semidirect
138. #6392C23semidirect
139. #6391C23semidirect
140. #6382C23semidirect
141. #6382C23semidirect
142. #6381C23semidirect
143. #6381C23semidirect
153. C2×#428D7direct (N × H)
207. C7×M16C22×C4semidirect
208. C2×C7×C8C22×C4semidirect
236. #1136C22×C4semidirect
237. C2×C7⋊C8C22×C4semidirect
239. #1131C22×C4semidirect
240. C8×D7C22×C4semidirect
275. #428C2×D7direct (N × H)
280. C2×#107C2×D7semidirect
285. C2×#106C2×D7semidirect
343. C7×C8C23×C4semidirect
344. C7⋊C8C23×C4semidirect
369. C2×M16C4×D7semidirect
425. #107C22×D7semidirect
429. #106C22×D7semidirect
442. C2×D7#428direct (N × H)
512. M16C2×C4×D7semidirect
516. C2×C8C2×C4×D7semidirect
545. C2×C7C2×#428semidirect
550. D7C2×#428direct (N × H)
609. C8C22×C4×D7semidirect
610. C7C22×#428semidirect
643. C2D7×#428direct (N × H)

Maximal subgroups

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

subgroupindex
C22×D7×M162
C2×D7×#1172
C22×D7×C4⋊C42
C2×C7×#4282
C2×#898932
C2×#897672
C2×#897362
D7×#4282
C2×#896532
C2×D7×#1072
C2×#896332
C2×D7×#1062
C22×#4287