Finite Group Databasebeta

← C2×#11739365 #14225827

Subgroups — C2×#11739365 #14225827

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×#90382C211yesmaximal, characteristic
3C2×C7×#499C211yesmaximal, characteristic, complemented
4C2×#89836C211yesmaximal, characteristic, complemented
5C2×#89840C211yesmaximal, characteristic, complemented
6#11739365C2116yesmaximal, direct product factor
7C2×#89649C211yesmaximal, characteristic, complemented
8C2×#89663C211yesmaximal, characteristic, complemented
9C2×#89656C211yesmaximal, characteristic, complemented
10C2×#89654C211yesmaximal, characteristic
11C2×#89629C211yesmaximal, characteristic, complemented
12C2×#89643C211yesmaximal, characteristic, complemented
13C2×#89635C211yesmaximal, characteristic
14C2×#89634C211yesmaximal, characteristic, complemented
15C2×#89469C211yesmaximal, characteristic, complemented
16C2×#89457C211yesmaximal, characteristic, complemented
17C2×C7×#125C2211yescharacteristic
18C2×C7×#125C2211yescharacteristic
19#90382—24no—
20#90382C2218yes—
21D7×#125—24no—
22D7×#125C2218yescomplemented
23C2×#6461—21no—
24C2×#6460C2211yescharacteristic
25C2×#6458C2211yescharacteristic
26C2×#6457—21no—
27C2×#6456—21no—
28C2×#6456C2211yescharacteristic
29C2×#6455—21no—
30C2×D7×C4⋊C4—21no—
31C2×D7×C4⋊C4—21no—
32C2×D7×C4⋊C4C2211yescharacteristic
33C2×D7×C4⋊C4C2211yescharacteristic
34C2×#6453C2211yescharacteristic
35C2×#6453C2211yescharacteristic
36C2×#6452—21no—
37C2×#6452—21no—
38C2×#6450C2211yescharacteristic
39C2×#6438C2211yescharacteristic
40C2×C42×D7C2211yescharacteristic
41C2×#6433C2211yescharacteristic
42C7×#499C2218yescomplemented
43C2×C7×#107C2211yescharacteristic
44C2×C7×#107C2211yescharacteristic
45C2×C7×#106C2211yescharacteristic
46C2×C7×#106C2211yescharacteristic
47C2×C4×C7×C8C2211yescharacteristic
48C2×#6395C2211yescharacteristic
49C2×#6395C2211yescharacteristic
50C2×(C2×D7)⋊C8C2211yescharacteristic
51C2×(C2×D7)⋊C8C2211yescharacteristic
52C2×#6390C2211yescharacteristic
53C2×#6390C2211yescharacteristic
54C2×Dic7⋊C8C2211yescharacteristic
55C2×Dic7⋊C8C2211yescharacteristic
56#89840C2218yescomplemented
57#89836C2218yescomplemented
58C2×#6384C2211yescharacteristic
59C2×#6384C2211yescharacteristic
60C2×#6383C2211yescharacteristic
61C2×#6383C2211yescharacteristic
62C2×#6382C2211yescharacteristic
63C2×#6382C2211yescharacteristic
64C2×#6381C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×C4×C7⋊C8C2211yescharacteristic
67#89663C2218yescomplemented
68#89656C2218yescomplemented
69#89654C2218yes—
70#89649C2218yescomplemented
71#89643C2218yescomplemented
72#89635C2218yes—
73#89634C2218yescomplemented
74#89629C2218yescomplemented
75#89469C2218yescomplemented
76#89457C2218yescomplemented
77C2×#3232—71nomaximal, Sylow
78C22×D28—21no—
79C22×D28C2311yescharacteristic
80C22×C4×D7—21no—
81C22×C4×D7—21no—
82C22×C4×D7—21no—
83C22×C4×D7D411yescharacteristic
84C22×C4×D7D411yescharacteristic
85C22×C4×D7C2311yescharacteristic
86C22×Dic14C2311yescharacteristic
87C22×C7×C8C2311yescharacteristic
88C22×C7×C8C2311yescharacteristic
89C7×#125—22no—
90C7×#125—22no—
91C7×#125C2314yes—
92C7×#125C2314yes—
93C2×C7×C4⋊C4—21no—
94C2×C7×C4⋊C4—21no—
95C2×C7×C4⋊C4—21no—
96C2×C7×C4⋊C4—21no—
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C7×C4⋊C4C2311yescharacteristic
100C2×C7×C4⋊C4C2311yescharacteristic
101C2×C42×C7C2311yescharacteristic
102C2×(C2×D7)⋊C4—21no—
103C2×(C2×D7)⋊C4—21no—
104C2×(C2×D7)⋊C4—21no—
105C2×(C2×D7)⋊C4—21no—
106C2×(C2×D7)⋊C4—21no—
107C2×C4⋊Dic7—21no—
108C2×C4⋊Dic7—21no—
109C2×C4⋊Dic7—21no—
110C2×C4⋊Dic7C2311yescharacteristic
111C2×C4⋊Dic7C2311yescharacteristic
112C2×Dic7⋊C4—21no—
113C2×Dic7⋊C4—21no—
114C2×Dic7⋊C4—21no—
115C2×Dic7⋊C4—21no—
116C2×Dic7⋊C4—21no—
117C2×Dic7⋊C4—21no—
118C2×Dic7⋊C4—21no—
119C2×C4×Dic7—21no—
120C2×C4×Dic7D411yescharacteristic
121C2×C4×Dic7D411yescharacteristic
122C2×C4×Dic7C2311yescharacteristic
123C22×C7⋊C8C2311yescharacteristic
124C22×C7⋊C8C2311yescharacteristic
125#6461—28no—
126#6460—22no—
127#6460C2314yes—
128#6458—22no—
129#6458C2314yes—
130#6457—28no—
131#6456—28no—
132#6456—22no—
133#6456C2314yes—
134#6455—28no—
135D7×C4⋊C4—22no—
136D7×C4⋊C4—22no—
137D7×C4⋊C4—28no—
138D7×C4⋊C4—28no—
139D7×C4⋊C4C2314yes—
140D7×C4⋊C4C2314yes—
141#6453—22no—
142#6453—22no—
143#6453C2314yes—
144#6453C2314yes—
145#6452—28no—
146#6452—28no—
147#6450—22no—
148#6450C2314yes—
149#6438—22no—
150#6438C2314yes—
151C42×D7D414yes—
152C42×D7C2314yes—
153#6433—22no—
154#6433C2314yes—
155C7×#107C2314yes—
156C7×#107C2314yes—
157C7×#106C2314yes—
158C7×#106C2314yes—
159C4×C7×C8C2314yes—
160#6395C2314yes—
161#6395C2314yes—
162(C2×D7)⋊C8C2314yes—
163(C2×D7)⋊C8C2314yes—
164#6390C2314yes—
165#6390C2314yes—
166Dic7⋊C8C2314yes—
167Dic7⋊C8C2314yes—
168#6384C2314yes—
169#6384C2314yes—
170#6383C2314yes—
171#6383C2314yes—
172#6382C2314yes—
173#6382C2314yes—
174#6381C2314yes—
175#6381C2314yes—
176C4×C7⋊C8C2314yes—
177C2×#529—71no—
178C22×#125—71no—
179#3232—716no—
180C2×#499—71no—
181C2×#499D711yescharacteristic, complemented
182C2×#488—71no—
183C2×#488—71no—
184C2×#484—71no—
185C2×#481—71no—
186C2×#483—71no—
187C2×#480—71no—
188C2×#479—71no—
189C2×#479—71no—
190C2×#478—71no—
191C2×#478—71no—
192C2×#431—71no—
193C23×D7—21no—
194C23×D7C2×D411yescharacteristic
195C22×C4×C7—21no—
196C22×C4×C7—21no—
197C22×C4×C7—21no—
198C22×C4×C7—21no—
199C22×C4×C7C2×D411yescharacteristic
200C22×C4×C7C2×D411yescharacteristic
201C22×C4×C7C2411yescharacteristic
202C22×Dic7—21no—
203C22×Dic7—21no—
204C22×Dic7—21no—
205C22×Dic7C2×D411yescharacteristic
206C22×Dic7C2×D411yescharacteristic
207C22×Dic7C2×D411yescharacteristic
208C2×D28—22no—
209C2×D28—22no—
210C2×D28—24no—
211C2×D28—21no—
212C2×D28—44no—
213C2×D28C2412yes—
214C2×C4×D7—24no—
215C2×C4×D7—22no—
216C2×C4×D7—22no—
217C2×C4×D7—24no—
218C2×C4×D7—24no—
219C2×C4×D7—24no—
220C2×C4×D7—42no—
221C2×C4×D7—44no—
222C2×C4×D7—44no—
223C2×C4×D7—44no—
224C2×C4×D7C2×D412yes—
225C2×C4×D7C2×D414yes—
226C2×C4×D7C2×D414yes—
227C2×C4×D7C2412yes—
228C2×Dic14—22no—
229C2×Dic14—22no—
230C2×Dic14—21no—
231C2×Dic14C2412yes—
232C2×C7×C8—22no—
233C2×C7×C8—22no—
234C2×C7×C8C2412yes—
235C2×C7×C8C2412yes—
236C7×C4⋊C4—21no—
237C7×C4⋊C4—24no—
238C7×C4⋊C4—24no—
239C7×C4⋊C4—21no—
240C7×C4⋊C4—21no—
241C7×C4⋊C4—24no—
242C7×C4⋊C4—21no—
243C7×C4⋊C4—24no—
244C7×C4⋊C4C2412yes—
245C7×C4⋊C4C2412yes—
246C7×C4⋊C4C2412yes—
247C7×C4⋊C4C2412yes—
248C42×C7C2×D412yes—
249C42×C7C2412yes—
250(C2×D7)⋊C4—24no—
251(C2×D7)⋊C4—24no—
252(C2×D7)⋊C4—24no—
253(C2×D7)⋊C4—24no—
254(C2×D7)⋊C4—24no—
255C4⋊Dic7—21no—
256C4⋊Dic7—21no—
257C4⋊Dic7—24no—
258C4⋊Dic7—24no—
259C4⋊Dic7—24no—
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—
269C4×Dic7—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—141no—
286C2×#125—141no—
287C2×#125—144no—
288C2×#125C2×D711yescharacteristic
289C2×#125C2×D711yescharacteristic
290C2×#124—71no—
291C2×#123—141no—
292C2×C22⋊Q8—71no—
293C2×#121—71no—
294C2×C4×Q8—71no—
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#499C2×D718yescomplemented
305#488—78no—
306#488—78no—
307#484—78no—
308#483—78no—
309#481—78no—
310#480—78no—
311#479—78no—
312#479—78no—
313#478—78no—
314#478—78no—
315#431—78no—
316C2×#107—71no—
317C2×#107—71no—
318C2×#107C2×D711yescharacteristic
319C2×#107C2×D711yescharacteristic
320C2×#106—71no—
321C2×#106—71no—
322C2×#106C2×D711yescharacteristic
323C2×#106C2×D711yescharacteristic
324C2×C4⋊C8—71no—
325C2×C4⋊C8—71no—
326C2×#103—71no—
327C2×#103—71no—
328C2×#103—71no—
329C2×#103—71no—
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×C8C2×D711yescharacteristic
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—
347C2×C4×C7—22no—
348C2×C4×C7—22no—
349C2×C4×C7—22no—
350C2×C4×C7—22no—
351C2×C4×C7—22no—
352C2×C4×C7—22no—
353C2×C4×C7—42no—
354C2×C4×C7—42no—
355C2×C4×C7—42no—
356C2×C4×C7—42no—
357C2×C4×C7C22×D412yes—
358C2×C4×C7C22×D412yes—
359C2×C4×C7C22×D411yescharacteristic
360C2×C4×C72−1+412yes—
361C2×C4×C72−1+412yes—
362C2×C4×C7C2511yescharacteristic
363C2×Dic7—22no—
364C2×Dic7—22no—
365C2×Dic7—22no—
366C2×Dic7—22no—
367C2×Dic7—22no—
368C2×Dic7—22no—
369C2×Dic7—42no—
370C2×Dic7—42no—
371C2×Dic7—42no—
372C2×Dic7C22×D412yes—
373C2×Dic7C22×D412yes—
374C2×Dic7C22×D412yes—
375D28—22no—
376D28—22no—
377D28—48no—
378D28—42no—
379C4×D7—28no—
380C4×D7—24no—
381C4×D7—22no—
382C4×D7—22no—
383C4×D7—44no—
384C4×D7—48no—
385C4×D7—48no—
386C4×D7—48no—
387Dic14—22no—
388Dic14—22no—
389Dic14—42no—
390C7×C8—22no—
391C7×C8—22no—
392C7⋊C8—22no—
393C7⋊C8—22no—
394C22×Q8—71no—
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—22no—
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#125C22×D714yes—
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—74no—
428C4×Q8—142no—
429C4×D4—74no—
430C4×D4—142no—
431C4×D4—148no—
432#117—148no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
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⋊C4C22×D711yescharacteristic
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—71no—
465C2×C42—71no—
466C2×C42—71no—
467C2×C42—74no—
468C2×C42—74no—
469C2×C42—141no—
470C2×C42C22×D711yescharacteristic
471#107—74no—
472#107—74no—
473#107C22×D714yes—
474#107C22×D714yes—
475#106—74no—
476#106—74no—
477#106C22×D714yes—
478#106C22×D714yes—
479C4⋊C8—74no—
480C4⋊C8—74no—
481#103—74no—
482#103—74no—
483#103—74no—
484#103—74no—
485#102—74no—
486#102—74no—
487#102—74no—
488#102—74no—
489C22⋊C8—74no—
490C22⋊C8—74no—
491C4×C8—74no—
492C4×C8C22×D714yes—
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—72no—
523C2×Q8—141no—
524C2×Q8—142no—
525C2×Q8—142no—
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—144no—
547C22×C4—142no—
548C22×C4—142no—
549C22×C4—141no—
550C22×C4—141no—
551C22×C4—141no—
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—24no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—72no—
576C4⋊C4—72no—
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⋊C4C23×D712yes—
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—74no—
599C42—72no—
600C42—74no—
601C42—72no—
602C42—144no—
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—142no—
621Q8—142no—
622Q8—282no—
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#655112yes—
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#9041512yes—
677C22D7×#13512yes—
678C22#9045912yes—
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#9041512yes—
693C4C2×#655111yescharacteristic
694C4C2×#655111yescharacteristic
695C2—144no—
696C2—562no—
697C2#1173936514yesdirect product factor
698C2C2×#9041511yescharacteristic
699C2C2×D7×#13511yescharacteristic
700C2C2×#9045911yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#499C2
socleC23×C7C22×D4
prime radicalC2×#6458C22
hypercenterC2×#499D7
hypocenterC7C2×#3232
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#499

Complements

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

NH ≅ G/Ntype
1. C2×D7×#125C2semidirect
3. C2×C7×#499C2semidirect
4. C2×#89836C2semidirect
5. C2×#89840C2semidirect
6. #11739365C2direct (N × H)
7. C2×#89649C2semidirect
8. C2×#89663C2semidirect
9. C2×#89656C2semidirect
11. C2×#89629C2semidirect
12. C2×#89643C2semidirect
14. C2×#89634C2semidirect
15. C2×#89469C2semidirect
16. C2×#89457C2semidirect
22. D7×#125C22semidirect
42. C7×#499C22semidirect
56. #89840C22semidirect
57. #89836C22semidirect
67. #89663C22semidirect
68. #89656C22semidirect
70. #89649C22semidirect
71. #89643C22semidirect
73. #89634C22semidirect
74. #89629C22semidirect
75. #89469C22semidirect
76. #89457C22semidirect
181. C2×#499D7semidirect
304. #499C2×D7semidirect
605. C2×C7#3232semidirect
667. C7C2×#3232semidirect
697. C2#11739365direct (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×#903822
C2×C7×#4992
C2×#898362
C2×#898402
#117393652
C2×#896492
C2×#896632
C2×#896562
C2×#896542
C2×#896292
C2×#896432
C2×#896352
C2×#896342
C2×#894692
C2×#894572
C2×#32327