Finite Group Databasebeta

← C2×#11738682 #14225830

Subgroups — C2×#11738682 #14225830

Order 1792.

1822 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D7×#125C211yesmaximal, characteristic, complemented
2C2×#90271C211yesmaximal, characteristic
3C2×C7×#479C211yesmaximal, characteristic, complemented
4C2×#89838C211yesmaximal, characteristic, complemented
5C2×#89794C211yesmaximal, characteristic, complemented
6#11738682C2116yesmaximal, direct product factor
7C2×#89654C211yesmaximal, characteristic
8C2×#89650C211yesmaximal, characteristic, complemented
9C2×#89635C211yesmaximal, characteristic
10C2×#89630C211yesmaximal, characteristic, complemented
11C2×#89619C211yesmaximal, characteristic, complemented
12C2×#89605C211yesmaximal, characteristic, complemented
13C2×#89581C211yesmaximal, characteristic, complemented
14C2×#89577C211yesmaximal, characteristic, complemented
15C2×#89572C211yesmaximal, characteristic, complemented
16C2×#89572C211yesmaximal, characteristic, complemented
17C2×C7×#125C2211yescharacteristic
18C2×C4×C7×Q8C2211yescharacteristic
19C2×#6510C2211yescharacteristic
20C2×#6509C2211yescharacteristic
21D7×#125—24no—
22D7×#125C2218yescomplemented
23#90271—24no—
24#90271C2218yes—
25C2×#6461—21no—
26C2×#6458C2211yescharacteristic
27C2×#6457—21no—
28C2×D7×C4⋊C4—21no—
29C2×D7×C4⋊C4—21no—
30C2×D7×C4⋊C4C2211yescharacteristic
31C2×D7×C4⋊C4C2211yescharacteristic
32C2×#6453C2211yescharacteristic
33C2×#6453C2211yescharacteristic
34C2×#6453C2211yescharacteristic
35C2×#6452—21no—
36C2×#6452—21no—
37C2×C4×D28—21no—
38C2×C4×D28C2211yescharacteristic
39C2×#6435—21no—
40C2×C42×D7C2211yescharacteristic
41C2×#6433C2211yescharacteristic
42C7×#479C2218yescomplemented
43C2×C7×#107C2211yescharacteristic
44C2×C7×#106C2211yescharacteristic
45C2×C7×C4⋊C8C2211yescharacteristic
46C2×C7×#103C2211yescharacteristic
47C2×C7×#103C2211yescharacteristic
48C2×#6409C2211yescharacteristic
49C2×#6409C2211yescharacteristic
50C2×#6395C2211yescharacteristic
51C2×#6395C2211yescharacteristic
52C2×(C2×D7)⋊C8C2211yescharacteristic
53C2×(C2×D7)⋊C8C2211yescharacteristic
54C2×#6392C2211yescharacteristic
55C2×#6391C2211yescharacteristic
56C2×C8×Dic7C2211yescharacteristic
57C2×C8×Dic7C2211yescharacteristic
58#89838C2218yescomplemented
59#89794C2218yescomplemented
60C2×#6383C2211yescharacteristic
61C2×#6383C2211yescharacteristic
62C2×#6382C2211yescharacteristic
63C2×#6382C2211yescharacteristic
64C2×#6381C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×C4⋊(C7⋊C8)C2211yescharacteristic
67#89654C2218yes—
68#89650C2218yescomplemented
69#89635C2218yes—
70#89630C2218yescomplemented
71#89619C2218yescomplemented
72#89605C2218yescomplemented
73#89581C2218yescomplemented
74#89577C2218yescomplemented
75#89572C2218yescomplemented
76#89572C2218yescomplemented
77C2×#3232—71nomaximal, Sylow
78C22×C7×Q8C2311yescharacteristic
79C22×D28—21no—
80C22×D28C2311yescharacteristic
81C22×C4×D7—21no—
82C22×C4×D7—21no—
83C22×C4×D7—21no—
84C22×C4×D7D411yescharacteristic
85C22×C4×D7D411yescharacteristic
86C22×C4×D7C2311yescharacteristic
87C22×C7×C8C2311yescharacteristic
88C22×C7×C8C2311yescharacteristic
89C7×#125—22no—
90C7×#125C2314yes—
91C4×C7×Q8—22no—
92C4×C7×Q8C2314yes—
93C2×C7×C4⋊C4—21no—
94C2×C7×C4⋊C4—21no—
95C2×C7×C4⋊C4—21no—
96C2×C7×C4⋊C4C2311yescharacteristic
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C42×C7—21no—
100C2×C42×C7C2311yescharacteristic
101#6510—22no—
102#6510C2314yes—
103#6509—22no—
104#6509C2314yes—
105C2×(C2×D7)⋊C4—21no—
106C2×(C2×D7)⋊C4—21no—
107C2×(C2×D7)⋊C4—21no—
108C2×(C2×D7)⋊C4—21no—
109C2×(C2×D7)⋊C4—21no—
110C2×C4⋊Dic7—21no—
111C2×C4⋊Dic7—21no—
112C2×C4⋊Dic7—21no—
113C2×C4⋊Dic7C2311yescharacteristic
114C2×C4⋊Dic7C2311yescharacteristic
115C2×C4⋊Dic7C2311yescharacteristic
116C2×Dic7⋊C4—21no—
117C2×Dic7⋊C4—21no—
118C2×Dic7⋊C4—21no—
119C2×Dic7⋊C4—21no—
120C2×Dic7⋊C4—21no—
121C2×Dic7⋊C4—21no—
122C2×Dic7⋊C4—21no—
123C2×Dic7⋊C4—21no—
124C2×C4×Dic7D411yescharacteristic
125C2×C4×Dic7D411yescharacteristic
126C2×C4×Dic7C2311yescharacteristic
127C22×C7⋊C8C2311yescharacteristic
128C22×C7⋊C8C2311yescharacteristic
129#6461—28no—
130#6458—22no—
131#6458C2314yes—
132#6457—28no—
133D7×C4⋊C4—22no—
134D7×C4⋊C4—22no—
135D7×C4⋊C4—28no—
136D7×C4⋊C4—28no—
137D7×C4⋊C4C2314yes—
138D7×C4⋊C4C2314yes—
139#6453—22no—
140#6453—22no—
141#6453—22no—
142#6453C2314yes—
143#6453C2314yes—
144#6453C2314yes—
145#6452—28no—
146#6452—28no—
147C4×D28—28no—
148C4×D28—22no—
149C4×D28C2314yes—
150#6435—28no—
151C42×D7D414yes—
152C42×D7C2314yes—
153#6433—22no—
154#6433C2314yes—
155C7×#107C2314yes—
156C7×#106C2314yes—
157C7×C4⋊C8C2314yes—
158C7×#103C2314yes—
159C7×#103C2314yes—
160#6409C2314yes—
161#6409C2314yes—
162#6395C2314yes—
163#6395C2314yes—
164(C2×D7)⋊C8C2314yes—
165(C2×D7)⋊C8C2314yes—
166#6392C2314yes—
167#6391C2314yes—
168C8×Dic7C2314yes—
169C8×Dic7C2314yes—
170#6383C2314yes—
171#6383C2314yes—
172#6382C2314yes—
173#6382C2314yes—
174#6381C2314yes—
175#6381C2314yes—
176C4⋊(C7⋊C8)C2314yes—
177C2×#529—71no—
178C22×#125—71no—
179#3232—716no—
180C2×#499—71no—
181C2×#499—71no—
182C2×#488—71no—
183C2×#488—71no—
184C2×#484—71no—
185C2×#481—71no—
186C2×#483—71no—
187C2×#480—71no—
188C2×#479—71no—
189C2×#479D711yescharacteristic, complemented
190C2×#478—71no—
191C2×#478—71no—
192C2×#431—71no—
193C23×D7—21no—
194C23×D7C2×D411yescharacteristic
195C2×C7×Q8—21no—
196C2×C7×Q8—22no—
197C2×C7×Q8—22no—
198C2×C7×Q8C2412yes—
199C22×C4×C7—21no—
200C22×C4×C7—21no—
201C22×C4×C7—21no—
202C22×C4×C7—21no—
203C22×C4×C7C2×D411yescharacteristic
204C22×C4×C7C2×D411yescharacteristic
205C22×C4×C7C2411yescharacteristic
206C22×Dic7—21no—
207C22×Dic7—21no—
208C22×Dic7—21no—
209C22×Dic7C2×D411yescharacteristic
210C22×Dic7C2×D411yescharacteristic
211C22×Dic7C2×D411yescharacteristic
212C2×D28—22no—
213C2×D28—22no—
214C2×D28—24no—
215C2×D28—21no—
216C2×D28—44no—
217C2×D28C2412yes—
218C2×C4×D7—24no—
219C2×C4×D7—22no—
220C2×C4×D7—22no—
221C2×C4×D7—24no—
222C2×C4×D7—24no—
223C2×C4×D7—24no—
224C2×C4×D7—42no—
225C2×C4×D7—44no—
226C2×C4×D7—44no—
227C2×C4×D7—44no—
228C2×C4×D7C2×D412yes—
229C2×C4×D7C2×D414yes—
230C2×C4×D7C2×D414yes—
231C2×C4×D7C2412yes—
232C2×C7×C8—22no—
233C2×C7×C8—22no—
234C2×C7×C8C2412yes—
235C2×C7×C8C2412yes—
236C7×C4⋊C4—24no—
237C7×C4⋊C4—24no—
238C7×C4⋊C4—21no—
239C7×C4⋊C4—21no—
240C7×C4⋊C4—21no—
241C7×C4⋊C4—24no—
242C7×C4⋊C4C2412yes—
243C7×C4⋊C4C2412yes—
244C7×C4⋊C4C2412yes—
245C42×C7—24no—
246C42×C7C2×D412yes—
247C42×C7C2412yes—
248(C2×D7)⋊C4—24no—
249(C2×D7)⋊C4—24no—
250(C2×D7)⋊C4—24no—
251(C2×D7)⋊C4—24no—
252(C2×D7)⋊C4—24no—
253C4⋊Dic7—21no—
254C4⋊Dic7—21no—
255C4⋊Dic7—21no—
256C4⋊Dic7—24no—
257C4⋊Dic7—24no—
258C4⋊Dic7—24no—
259C4⋊Dic7C2412yes—
260C4⋊Dic7C2412yes—
261C4⋊Dic7C2412yes—
262Dic7⋊C4—24no—
263Dic7⋊C4—24no—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4—24no—
267Dic7⋊C4—24no—
268Dic7⋊C4—24no—
269Dic7⋊C4—24no—
270C4×Dic7C2×D412yes—
271C4×Dic7C2×D414yes—
272C4×Dic7C2×D414yes—
273C4×Dic7C2412yes—
274C2×C7⋊C8—22no—
275C2×C7⋊C8—22no—
276C2×C7⋊C8C2412yes—
277C2×C7⋊C8C2412yes—
278#529—78no—
279#529—144no—
280C2×#126—141no—
281C2×#125—78no—
282C2×#125—71no—
283C2×#125—71no—
284C2×#125—71no—
285C2×#125—71no—
286C2×#125—141no—
287C2×#125—141no—
288C2×#125—144no—
289C2×#125C2×D711yescharacteristic
290C2×#124—71no—
291C2×#123—141no—
292C2×C22⋊Q8—71no—
293C2×#121—71no—
294C2×C4×Q8C2×D711yescharacteristic
295C2×C4×D4—71no—
296C2×C4×D4—141no—
297C2×#117—141no—
298C22×C4⋊C4—71no—
299C22×C4⋊C4—71no—
300C22×C4⋊C4—141no—
301C22×C4⋊C4—141no—
302C22×C42—71no—
303#499—78no—
304#499—78no—
305#488—78no—
306#488—78no—
307#484—78no—
308#483—78no—
309#481—78no—
310#480—78no—
311#479—78no—
312#479C2×D718yescomplemented
313#478—78no—
314#478—78no—
315#431—78no—
316C2×#107—71no—
317C2×#107—71no—
318C2×#107—71no—
319C2×#107C2×D711yescharacteristic
320C2×#106—71no—
321C2×#106—71no—
322C2×#106—71no—
323C2×#106C2×D711yescharacteristic
324C2×C4⋊C8—71no—
325C2×C4⋊C8C2×D711yescharacteristic
326C2×#103—71no—
327C2×#103—71no—
328C2×#103C2×D711yescharacteristic
329C2×#103C2×D711yescharacteristic
330C2×#102—71no—
331C2×#102—71no—
332C2×#102—71no—
333C2×#102—71no—
334C2×C22⋊C8—71no—
335C2×C22⋊C8—71no—
336C2×C4×C8—71no—
337C2×C4×C8—71no—
338C23×C7C22×D411yescharacteristic
339C22×D7—22no—
340C22×D7—22no—
341C22×D7—22no—
342C22×D7—42no—
343C22×D7—42no—
344C22×D7—42no—
345C22×D7#13514yes—
346C22×D7C22×D412yes—
347C7×Q8—22no—
348C7×Q8—22no—
349C7×Q8—42no—
350C2×C4×C7—22no—
351C2×C4×C7—22no—
352C2×C4×C7—22no—
353C2×C4×C7—22no—
354C2×C4×C7—22no—
355C2×C4×C7—22no—
356C2×C4×C7—42no—
357C2×C4×C7—42no—
358C2×C4×C7—42no—
359C2×C4×C7—42no—
360C2×C4×C7C22×D412yes—
361C2×C4×C7C22×D412yes—
362C2×C4×C7C22×D411yescharacteristic
363C2×C4×C72−1+412yes—
364C2×C4×C72−1+412yes—
365C2×C4×C7C2511yescharacteristic
366C2×Dic7—22no—
367C2×Dic7—22no—
368C2×Dic7—22no—
369C2×Dic7—22no—
370C2×Dic7—22no—
371C2×Dic7—22no—
372C2×Dic7—42no—
373C2×Dic7—42no—
374C2×Dic7—42no—
375C2×Dic7C22×D412yes—
376C2×Dic7C22×D412yes—
377C2×Dic7C22×D412yes—
378D28—22no—
379D28—22no—
380D28—48no—
381D28—42no—
382C4×D7—28no—
383C4×D7—24no—
384C4×D7—22no—
385C4×D7—22no—
386C4×D7—44no—
387C4×D7—48no—
388C4×D7—48no—
389C4×D7—48no—
390C7×C8—22no—
391C7×C8—22no—
392C7⋊C8—22no—
393C7⋊C8—22no—
394C22×Q8C22×D711yescharacteristic
395C22×D4—71no—
396C22×D4—141no—
397C23×C4—71no—
398C23×C4—71no—
399C23×C4—71no—
400C23×C4—141no—
401C23×C4—141no—
402C23×C4—141no—
403C22×C8—71no—
404C22×C8—71no—
405C22×C8C22×D711yescharacteristic
406C22×C8C22×D711yescharacteristic
407#126—148no—
408#125—22no—
409#125—74no—
410#125—74no—
411#125—74no—
412#125—74no—
413#125—148no—
414#125—148no—
415#125—142no—
416#125—142no—
417#125—142no—
418#125—142no—
419#125C22×D714yes—
420#124—74no—
421#124—142no—
422#123—148no—
423C22⋊Q8—74no—
424C22⋊Q8—142no—
425#121—74no—
426#121—142no—
427C4×Q8—22no—
428C4×Q8C22×D714yes—
429C4×D4—74no—
430C4×D4—148no—
431C4×D4—142no—
432#117—148no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—71no—
437C2×C4⋊C4—71no—
438C2×C4⋊C4—71no—
439C2×C4⋊C4—74no—
440C2×C4⋊C4—74no—
441C2×C4⋊C4—142no—
442C2×C4⋊C4—142no—
443C2×C4⋊C4—148no—
444C2×C4⋊C4—148no—
445C2×C4⋊C4—141no—
446C2×C4⋊C4—141no—
447C2×C4⋊C4—141no—
448C2×C4⋊C4—141no—
449C2×C4⋊C4—141no—
450C2×C4⋊C4—141no—
451C2×C4⋊C4—141no—
452C2×C4⋊C4—141no—
453C2×C4⋊C4—141no—
454C2×C4⋊C4—141no—
455C2×C4⋊C4—141no—
456C2×C4⋊C4C22×D711yescharacteristic
457C2×C4⋊C4C22×D711yescharacteristic
458C2×C4⋊C4C22×D711yescharacteristic
459C2×C22⋊C4—141no—
460C2×C22⋊C4—141no—
461C2×C22⋊C4—141no—
462C2×C22⋊C4—141no—
463C2×C22⋊C4—141no—
464C2×C42—21no—
465C2×C42—71no—
466C2×C42—71no—
467C2×C42—71no—
468C2×C42—74no—
469C2×C42—74no—
470C2×C42C22×D711yescharacteristic
471#107—74no—
472#107—74no—
473#107—74no—
474#107C22×D714yes—
475#106—74no—
476#106—74no—
477#106—74no—
478#106C22×D714yes—
479C4⋊C8—74no—
480C4⋊C8C22×D714yes—
481#103—74no—
482#103—74no—
483#103C22×D714yes—
484#103C22×D714yes—
485#102—74no—
486#102—74no—
487#102—74no—
488#102—74no—
489C22⋊C8—74no—
490C22⋊C8—74no—
491C4×C8—74no—
492C4×C8—74no—
493C22×C7#53612yes—
494C22×C7C2×#13512yes—
495C22×C7#57512yes—
496C22×C7C23×D411yescharacteristic
497C2×D7—22no—
498C2×D7—28no—
499C2×D7—22no—
500C2×D7—42no—
501C2×D7—42no—
502C2×D7—42no—
503C2×D7—84no—
504C2×D7C2×#13514yes—
505C4×C7—22no—
506C4×C7—22no—
507C4×C7—42no—
508C4×C7—42no—
509C4×C7—42no—
510C4×C7—42no—
511C4×C7#53612yes—
512C4×C7C2×2−1+411yescharacteristic
513C4×C7C2×2−1+411yescharacteristic
514Dic7—22no—
515Dic7—22no—
516Dic7—22no—
517Dic7—42no—
518Dic7—42no—
519Dic7—42no—
520C24—71no—
521C24—141no—
522C2×Q8—21no—
523C2×Q8—22no—
524C2×Q8—22no—
525C2×Q8C23×D712yes—
526C2×D4—72no—
527C2×D4—144no—
528C2×D4—141no—
529C2×D4—142no—
530C2×D4—142no—
531C2×D4—284no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—71no—
537C22×C4—71no—
538C22×C4—71no—
539C22×C4—72no—
540C22×C4—74no—
541C22×C4—72no—
542C22×C4—74no—
543C22×C4—144no—
544C22×C4—144no—
545C22×C4—144no—
546C22×C4—142no—
547C22×C4—142no—
548C22×C4—141no—
549C22×C4—141no—
550C22×C4—141no—
551C22×C4—144no—
552C22×C4—282no—
553C22×C4—284no—
554C22×C4—284no—
555C22×C4—284no—
556C22×C4D4×D711yescharacteristic
557C22×C4D4×D711yescharacteristic
558C22×C4C23×D711yescharacteristic
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—72no—
562C2×C8—72no—
563C2×C8—142no—
564C2×C8—142no—
565C2×C8C23×D712yes—
566C2×C8C23×D712yes—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—24no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—72no—
574C4⋊C4—72no—
575C4⋊C4—72no—
576C4⋊C4—144no—
577C4⋊C4—144no—
578C4⋊C4—144no—
579C4⋊C4—144no—
580C4⋊C4—144no—
581C4⋊C4—144no—
582C4⋊C4—144no—
583C4⋊C4—144no—
584C4⋊C4—144no—
585C4⋊C4—144no—
586C4⋊C4—144no—
587C4⋊C4—141no—
588C4⋊C4—141no—
589C4⋊C4—141no—
590C4⋊C4C23×D712yes—
591C4⋊C4C23×D712yes—
592C4⋊C4C23×D712yes—
593C22⋊C4—144no—
594C22⋊C4—144no—
595C22⋊C4—144no—
596C22⋊C4—144no—
597C22⋊C4—144no—
598C42—24no—
599C42—74no—
600C42—72no—
601C42—74no—
602C42—72no—
603C42D4×D712yes—
604C42C23×D712yes—
605C2×C7#323214yescomplemented
606C2×C7C2×#53611yescharacteristic
607C2×C7C22×#13511yescharacteristic
608C2×C7C2×#57511yescharacteristic
609D7—24no—
610D7—82no—
611C23—74no—
612C23—72no—
613C23—142no—
614C23—142no—
615C23—142no—
616C23—282no—
617C23—282no—
618C23—282no—
619C23C2×D4×D711yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—42no—
623D4—142no—
624D4—142no—
625D4—288no—
626D4—282no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—72no—
638C2×C4—72no—
639C2×C4—72no—
640C2×C4—148no—
641C2×C4—142no—
642C2×C4—142no—
643C2×C4—142no—
644C2×C4—144no—
645C2×C4—142no—
646C2×C4—142no—
647C2×C4—142no—
648C2×C4—142no—
649C2×C4—142no—
650C2×C4—284no—
651C2×C4—288no—
652C2×C4—288no—
653C2×C4—288no—
654C2×C4—282no—
655C2×C4—282no—
656C2×C4—282no—
657C2×C4C2×D4×D712yes—
658C2×C4C2×D4×D712yes—
659C2×C4C2×D4×D711yescharacteristic
660C2×C4#655112yes—
661C2×C4#655412yes—
662C2×C4C24×D711yescharacteristic
663C8—22no—
664C8—22no—
665C8—142no—
666C8—142no—
667C7C2×#323211yescharacteristic, complemented, Sylow
668C22—74no—
669C22—142no—
670C22—148no—
671C22—142no—
672C22—282no—
673C22—282no—
674C22—282no—
675C22—564no—
676C22#9031912yes—
677C22D7×#13512yes—
678C22#9046812yes—
679C22C22×D4×D711yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—142no—
687C4—142no—
688C4—142no—
689C4—282no—
690C4—282no—
691C4—282no—
692C4#9031912yes—
693C4C2×#655111yescharacteristic
694C4C2×#655411yescharacteristic
695C2—144no—
696C2—562no—
697C2#1173868214yesdirect product factor
698C2C2×#9031911yescharacteristic
699C2C2×D7×#13511yescharacteristic
700C2C2×#9046811yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#479C2
socleC23×C7C22×D4
prime radicalC2×#6458C22
hypercenterC2×#479D7
hypocenterC7C2×#3232
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
1. C2×D7×#125C2semidirect
3. C2×C7×#479C2semidirect
4. C2×#89838C2semidirect
5. C2×#89794C2semidirect
6. #11738682C2direct (N × H)
8. C2×#89650C2semidirect
10. C2×#89630C2semidirect
11. C2×#89619C2semidirect
12. C2×#89605C2semidirect
13. C2×#89581C2semidirect
14. C2×#89577C2semidirect
15. C2×#89572C2semidirect
16. C2×#89572C2semidirect
22. D7×#125C22semidirect
42. C7×#479C22semidirect
58. #89838C22semidirect
59. #89794C22semidirect
68. #89650C22semidirect
70. #89630C22semidirect
71. #89619C22semidirect
72. #89605C22semidirect
73. #89581C22semidirect
74. #89577C22semidirect
75. #89572C22semidirect
76. #89572C22semidirect
189. C2×#479D7semidirect
312. #479C2×D7semidirect
605. C2×C7#3232semidirect
667. C7C2×#3232semidirect
697. C2#11738682direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D7×#1252
C2×#902712
C2×C7×#4792
C2×#898382
C2×#897942
#117386822
C2×#896542
C2×#896502
C2×#896352
C2×#896302
C2×#896192
C2×#896052
C2×#895812
C2×#895772
C2×#895722
C2×#32327