Finite Group Databasebeta

← C2×#11738666 #14234238

Subgroups — C2×#11738666 #14234238

Order 1792.

1842 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90381C211yesmaximal, characteristic
2C2×#90260C211yesmaximal, characteristic, complemented
3C2×C7×#479C211yesmaximal, characteristic, complemented
4C2×#89836C211yesmaximal, characteristic, complemented
5C2×C4×#1143C211yesmaximal, characteristic
6#11738666C2116yesmaximal, direct product factor
7C2×#89662C211yesmaximal, characteristic
8C2×#89650C211yesmaximal, characteristic, complemented
9C2×#89643C211yesmaximal, characteristic
10C2×#89627C211yesmaximal, characteristic, complemented
11C2×#89619C211yesmaximal, characteristic
12C2×#89602C211yesmaximal, characteristic, complemented
13C2×#89571C211yesmaximal, characteristic, complemented
14C2×#89566C211yesmaximal, characteristic, complemented
15C2×#89560C211yesmaximal, characteristic
16C2×#89560C211yesmaximal, characteristic
17C2×C7×#125C2211yescharacteristic
18C2×C4×C7×Q8C2211yescharacteristic
19C2×Q8×Dic7C2211yescharacteristic
20C2×Q8×Dic7C2211yescharacteristic
21C22×#1143C2211yescharacteristic
22#90381—24no—
23#90381C2218yes—
24#90260—24no—
25#90260C2218yescomplemented
26C2×#6460—21no—
27C2×#6459—21no—
28C2×#6459—21no—
29C2×#6456C2211yescharacteristic
30C2×#6456C2211yescharacteristic
31C2×D7×C4⋊C4—21no—
32C2×#6453—21no—
33C2×#6453C2211yescharacteristic
34C2×#6453C2211yescharacteristic
35C2×#6451—21no—
36C2×#6451C2211yescharacteristic
37C2×#6451C2211yescharacteristic
38C2×C4×D28C2211yescharacteristic
39C2×#6433—21no—
40C2×#6433C2211yescharacteristic
41C2×C4×Dic14—21no—
42C2×C4×Dic14C2211yescharacteristic
43C7×#479C2218yescomplemented
44C2×C7×#107C2211yescharacteristic
45C2×C7×#106C2211yescharacteristic
46C2×C7×C4⋊C8C2211yescharacteristic
47C2×C7×#103C2211yescharacteristic
48C2×C7×#103C2211yescharacteristic
49C2×#6409C2211yescharacteristic
50C2×#6395C2211yescharacteristic
51C2×#6395C2211yescharacteristic
52C2×#6392C2211yescharacteristic
53C2×#6391C2211yescharacteristic
54C2×Dic7⋊C8C2211yescharacteristic
55C2×Dic7⋊C8C2211yescharacteristic
56C2×C8×Dic7C2211yescharacteristic
57C2×C8×Dic7C2211yescharacteristic
58#89836C2218yescomplemented
59C4×#1143C2218yes—
60C2×#6383C2211yescharacteristic
61C2×#6382C2211yescharacteristic
62C2×#6382C2211yescharacteristic
63C2×#6382C2211yescharacteristic
64C2×#6381C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×C4×C7⋊C8C2211yescharacteristic
67#89662C2218yes—
68#89650C2218yescomplemented
69#89643C2218yes—
70#89627C2218yescomplemented
71#89619C2218yes—
72#89602C2218yescomplemented
73#89571C2218yescomplemented
74#89566C2218yescomplemented
75#89560C2218yes—
76#89560C2218yes—
77C2×#3381—71nomaximal, Sylow
78C22×C7×Q8C2311yescharacteristic
79C22×D28C2311yescharacteristic
80C22×C4×D7—21no—
81C22×C4×D7—21no—
82C22×C4×D7—21no—
83C22×Dic14—21no—
84C22×Dic14—21no—
85C22×Dic14D411yescharacteristic
86C22×C7×C8C2311yescharacteristic
87C22×C7×C8C2311yescharacteristic
88C7×#125—22no—
89C7×#125C2314yes—
90C4×C7×Q8—22no—
91C4×C7×Q8C2314yes—
92C2×C7×C4⋊C4—21no—
93C2×C7×C4⋊C4—21no—
94C2×C7×C4⋊C4—21no—
95C2×C7×C4⋊C4C2311yescharacteristic
96C2×C7×C4⋊C4C2311yescharacteristic
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C42×C7—21no—
99C2×C42×C7C2311yescharacteristic
100Q8×Dic7—22no—
101Q8×Dic7—22no—
102Q8×Dic7C2314yes—
103Q8×Dic7C2314yes—
104C2×#1143Q818yescomplemented
105C2×#1143C2314yes—
106C2×(C2×D7)⋊C4—21no—
107C2×(C2×D7)⋊C4—21no—
108C2×(C2×D7)⋊C4—21no—
109C2×C4⋊Dic7—21no—
110C2×C4⋊Dic7—21no—
111C2×C4⋊Dic7—21no—
112C2×C4⋊Dic7—21no—
113C2×C4⋊Dic7D411yescharacteristic
114C2×C4⋊Dic7C2311yescharacteristic
115C2×C4⋊Dic7C2311yescharacteristic
116C2×C4⋊Dic7C2311yescharacteristic
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⋊C4D411yescharacteristic
124C2×Dic7⋊C4D411yescharacteristic
125C2×C4×Dic7—21no—
126C2×C4×Dic7—21no—
127C2×C4×Dic7C2311yescharacteristic
128C2×C4×Dic7C2311yescharacteristic
129C22×C7⋊C8C2311yescharacteristic
130C22×C7⋊C8C2311yescharacteristic
131#6460—28no—
132#6459—28no—
133#6459—28no—
134#6456—22no—
135#6456—22no—
136#6456C2314yes—
137#6456C2314yes—
138D7×C4⋊C4—28no—
139#6453—28no—
140#6453—22no—
141#6453—22no—
142#6453C2314yes—
143#6453C2314yes—
144#6451—28no—
145#6451—22no—
146#6451—22no—
147#6451C2314yes—
148#6451C2314yes—
149C4×D28—22no—
150C4×D28C2314yes—
151#6433—22no—
152#6433—28no—
153#6433C2314yes—
154C4×Dic14—28no—
155C4×Dic14D414yes—
156C4×Dic14C2314yes—
157C7×#107C2314yes—
158C7×#106C2314yes—
159C7×C4⋊C8C2314yes—
160C7×#103C2314yes—
161C7×#103C2314yes—
162#6409C2314yes—
163#6395C2314yes—
164#6395C2314yes—
165#6392C2314yes—
166#6391C2314yes—
167Dic7⋊C8C2314yes—
168Dic7⋊C8C2314yes—
169C8×Dic7C2314yes—
170C8×Dic7C2314yes—
171#6383C2314yes—
172#6382C2314yes—
173#6382C2314yes—
174#6382C2314yes—
175#6381C2314yes—
176#6381C2314yes—
177C4×C7⋊C8C2314yes—
178C2×#557—71no—
179C2×#554—71no—
180#3381—716no—
181C2×#499—71no—
182C2×#499—71no—
183C2×#498—71no—
184C2×#479—71no—
185C2×#479D711yescharacteristic, complemented
186C2×#477—71no—
187C2×#478—71no—
188C2×#478—71no—
189C2×#474—71no—
190C2×C8×Q8—71no—
191C2×C4×SD16—71no—
192C2×C4×SD16—71no—
193C2×C4×SD16—71no—
194C23×D7—21no—
195C2×C7×Q8—21no—
196C2×C7×Q8—22no—
197C2×C7×Q8C2×Q814yes—
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
212C22×Dic7C2×D411yescharacteristic
213C2×D28—21no—
214C2×D28—22no—
215C2×D28C2×Q814yes—
216C2×D28C2412yes—
217C2×C4×D7—24no—
218C2×C4×D7—24no—
219C2×C4×D7—24no—
220C2×C4×D7—44no—
221C2×C4×D7—82no—
222C2×C4×D7—82no—
223C2×Dic14—24no—
224C2×Dic14—24no—
225C2×Dic14—24no—
226C2×Dic14—44no—
227C2×Dic14—82no—
228C2×Dic14C2×D414yes—
229C2×C7×C8—22no—
230C2×C7×C8—22no—
231C2×C7×C8C2412yes—
232C2×C7×C8C2412yes—
233C7×C4⋊C4—24no—
234C7×C4⋊C4—21no—
235C7×C4⋊C4—21no—
236C7×C4⋊C4—21no—
237C7×C4⋊C4—24no—
238C7×C4⋊C4—24no—
239C7×C4⋊C4C2412yes—
240C7×C4⋊C4C2412yes—
241C7×C4⋊C4C2412yes—
242C42×C7—24no—
243C42×C7C2×D412yes—
244C42×C7C2412yes—
245#1143C2×Q8116yescomplemented
246(C2×D7)⋊C4—24no—
247(C2×D7)⋊C4—24no—
248(C2×D7)⋊C4—24no—
249C4⋊Dic7—21no—
250C4⋊Dic7—21no—
251C4⋊Dic7—21no—
252C4⋊Dic7—24no—
253C4⋊Dic7—24no—
254C4⋊Dic7—24no—
255C4⋊Dic7—24no—
256C4⋊Dic7C2×D414yes—
257C4⋊Dic7C2412yes—
258C4⋊Dic7C2412yes—
259C4⋊Dic7C2412yes—
260Dic7⋊C4—24no—
261Dic7⋊C4—24no—
262Dic7⋊C4—24no—
263Dic7⋊C4—24no—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4C2×D414yes—
267Dic7⋊C4C2×D414yes—
268C4×Dic7—24no—
269C4×Dic7—24no—
270C4×Dic7C2×D412yes—
271C4×Dic7C2×D412yes—
272C4×Dic7C2412yes—
273C4×Dic7C2412yes—
274C2×C7⋊C8—22no—
275C2×C7⋊C8C2×Q814yes—
276C2×C7⋊C8C2412yes—
277C2×C7⋊C8C2412yes—
278C22×SD16—71no—
279#557—78no—
280#557—144no—
281#554—78no—
282#554—144no—
283C2×C4⋊Q8—71no—
284C2×C4⋊Q8—71no—
285C2×C4⋊Q8—141no—
286C2×#125—71no—
287C2×#125—71no—
288C2×#125—71no—
289C2×#125—141no—
290C2×#125—141no—
291C2×#125C2×D711yescharacteristic
292C2×C22⋊Q8—141no—
293C2×C22⋊Q8—141no—
294C2×C22⋊Q8—141no—
295C2×C4×Q8—71no—
296C2×C4×Q8—71no—
297C2×C4×Q8—71no—
298C2×C4×Q8—141no—
299C2×C4×Q8C2×D711yescharacteristic
300C2×C4×D4—71no—
301C2×C4×D4—71no—
302C2×C4×D4—71no—
303C22×C4⋊C4—141no—
304#499—78no—
305#499—78no—
306#498—78no—
307#479—78no—
308#479C2×D718yescomplemented
309#478—78no—
310#478—78no—
311#477—78no—
312#474—78no—
313C8×Q8—78no—
314C4×SD16—78no—
315C4×SD16—78no—
316C4×SD16—78no—
317C2×#107—71no—
318C2×#107—71no—
319C2×#107—71no—
320C2×#107C2×D711yescharacteristic
321C2×#106—71no—
322C2×#106—71no—
323C2×#106—71no—
324C2×#106—71no—
325C2×#106C2×D711yescharacteristic
326C2×C4⋊C8—71no—
327C2×C4⋊C8—71no—
328C2×C4⋊C8C2×D711yescharacteristic
329C2×#103—71no—
330C2×#103C2×D711yescharacteristic
331C2×#103C2×D711yescharacteristic
332C2×#102—71no—
333C2×#102—71no—
334C2×#102—71no—
335C2×C4×C8—71no—
336C2×C4×C8—71no—
337C2×C4×C8—71no—
338C23×C7C22×D411yescharacteristic
339C22×D7—24no—
340C22×D7—22no—
341C22×D7—42no—
342C22×D7—42no—
343C7×Q8—24no—
344C7×Q8—22no—
345C7×Q8C22×Q814yes—
346C2×C4×C7—24no—
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×C7C22×D412yes—
357C2×C4×C7C22×D412yes—
358C2×C4×C7C22×D411yescharacteristic
359C2×C4×C7C22×Q812yes—
360C2×C4×C72−1+412yes—
361C2×C4×C7C2511yescharacteristic
362C2×Dic7—22no—
363C2×Dic7—22no—
364C2×Dic7—22no—
365C2×Dic7—22no—
366C2×Dic7—22no—
367C2×Dic7—22no—
368C2×Dic7—42no—
369C2×Dic7—42no—
370C2×Dic7—42no—
371C2×Dic7#13514yes—
372C2×Dic7C22×D412yes—
373C2×Dic7C22×D412yes—
374C2×Dic7C22×D412yes—
375C2×Dic7C22×D412yes—
376D28—24no—
377D28—22no—
378D28C22×Q814yes—
379C4×D7—48no—
380C4×D7—84no—
381C4×D7—84no—
382Dic14—28no—
383Dic14—48no—
384Dic14—84no—
385C7×C8—22no—
386C7×C8—22no—
387C7⋊C8—22no—
388C7⋊C8C22×Q814yes—
389C22×Q8—71no—
390C22×Q8—141no—
391C22×Q8—141no—
392C22×Q8C22×D711yescharacteristic
393C22×D4—71no—
394C23×C4—141no—
395C23×C4—141no—
396C23×C4—141no—
397C2×SD16—78no—
398C2×SD16—74no—
399C22×C8—71no—
400C22×C8—71no—
401C22×C8C22×D711yescharacteristic
402C22×C8C22×D711yescharacteristic
403C4⋊Q8—74no—
404C4⋊Q8—74no—
405C4⋊Q8—142no—
406C4⋊Q8—142no—
407C4⋊Q8—148no—
408#125—22no—
409#125—74no—
410#125—74no—
411#125—74no—
412#125—148no—
413#125—142no—
414#125—142no—
415#125—148no—
416#125—142no—
417#125C22×D714yes—
418C22⋊Q8—148no—
419C22⋊Q8—148no—
420C22⋊Q8—148no—
421C4×Q8—22no—
422C4×Q8—74no—
423C4×Q8—74no—
424C4×Q8—74no—
425C4×Q8—74no—
426C4×Q8—148no—
427C4×Q8—142no—
428C4×Q8—142no—
429C4×Q8C22×D714yes—
430C4×D4—74no—
431C4×D4—74no—
432C4×D4—74no—
433C4×D4—142no—
434C4×D4—142no—
435C4×D4—142no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—71no—
440C2×C4⋊C4—71no—
441C2×C4⋊C4—71no—
442C2×C4⋊C4—71no—
443C2×C4⋊C4—71no—
444C2×C4⋊C4—71no—
445C2×C4⋊C4—148no—
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×C42—21no—
463C2×C42—71no—
464C2×C42—71no—
465C2×C42—141no—
466C2×C42—141no—
467C2×C42C22×D711yescharacteristic
468#107—74no—
469#107—74no—
470#107—74no—
471#107C22×D714yes—
472#106—74no—
473#106—74no—
474#106—74no—
475#106—74no—
476#106C22×D714yes—
477C4⋊C8—74no—
478C4⋊C8—74no—
479C4⋊C8C22×D714yes—
480#103—74no—
481#103C22×D714yes—
482#103C22×D714yes—
483#102—74no—
484#102—74no—
485#102—74no—
486C4×C8—74no—
487C4×C8—74no—
488C4×C8—74no—
489C22×C7D4×Q812yes—
490C22×C7C2×#13512yes—
491C22×C7#57712yes—
492C22×C7C23×D411yescharacteristic
493C2×D7—24no—
494C2×D7—48no—
495C2×D7—42no—
496C2×D7—42no—
497C4×C7—24no—
498C4×C7—22no—
499C4×C7—22no—
500C4×C7—42no—
501C4×C7—42no—
502C4×C7—42no—
503C4×C7D4×Q812yes—
504C4×C7C23×Q811yescharacteristic
505C4×C7C2×2−1+411yescharacteristic
506Dic7—22no—
507Dic7—22no—
508Dic7—22no—
509Dic7—42no—
510Dic7—42no—
511Dic7—42no—
512Dic7C2×#13514yes—
513C24—141no—
514C2×Q8—21no—
515C2×Q8—22no—
516C2×Q8—74no—
517C2×Q8—144no—
518C2×Q8—144no—
519C2×Q8—144no—
520C2×Q8—284no—
521C2×Q8—562no—
522C2×Q8Q8×D714yes—
523C2×Q8C23×D712yes—
524C2×D4—74no—
525C2×D4—72no—
526C2×D4—141no—
527C2×D4—142no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—71no—
533C22×C4—71no—
534C22×C4—71no—
535C22×C4—71no—
536C22×C4—144no—
537C22×C4—144no—
538C22×C4—141no—
539C22×C4—141no—
540C22×C4—141no—
541C22×C4—144no—
542C22×C4—284no—
543C22×C4—562no—
544C22×C4—562no—
545C22×C4D4×D711yescharacteristic
546C22×C4D4×D711yescharacteristic
547C22×C4C23×D711yescharacteristic
548SD16—716no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—74no—
552C2×C8—72no—
553C2×C8—72no—
554C2×C8—142no—
555C2×C8C23×D712yes—
556C2×C8C23×D712yes—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—74no—
564C4⋊C4—74no—
565C4⋊C4—74no—
566C4⋊C4—72no—
567C4⋊C4—72no—
568C4⋊C4—72no—
569C4⋊C4—144no—
570C4⋊C4—144no—
571C4⋊C4—144no—
572C4⋊C4—144no—
573C4⋊C4—144no—
574C4⋊C4—144no—
575C4⋊C4—144no—
576C4⋊C4—144no—
577C4⋊C4—144no—
578C4⋊C4—144no—
579C4⋊C4—141no—
580C4⋊C4—141no—
581C4⋊C4—141no—
582C4⋊C4C23×D712yes—
583C4⋊C4C23×D712yes—
584C4⋊C4C23×D712yes—
585C22⋊C4—144no—
586C22⋊C4—144no—
587C22⋊C4—144no—
588C42—24no—
589C42—72no—
590C42—72no—
591C42—72no—
592C42—72no—
593C42—144no—
594C42—144no—
595C42D4×D712yes—
596C42C23×D712yes—
597C2×C7#338114yescomplemented
598C2×C7C2×D4×Q811yescharacteristic
599C2×C7C22×#13511yescharacteristic
600C2×C7C2×#57711yescharacteristic
601D7—44no—
602C23—144no—
603C23—142no—
604C23—282no—
605C23—282no—
606C23C2×D4×D711yescharacteristic
607Q8—24no—
608Q8—22no—
609Q8—148no—
610Q8—288no—
611Q8—564no—
612Q8C2×Q8×D714yes—
613D4—74no—
614D4—144no—
615D4—142no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—74no—
627C2×C4—72no—
628C2×C4—72no—
629C2×C4—72no—
630C2×C4—72no—
631C2×C4—142no—
632C2×C4—142no—
633C2×C4—142no—
634C2×C4—142no—
635C2×C4—142no—
636C2×C4—142no—
637C2×C4—288no—
638C2×C4—282no—
639C2×C4—282no—
640C2×C4—282no—
641C2×C4—564no—
642C2×C4—564no—
643C2×C4C2×D4×D712yes—
644C2×C4C2×D4×D712yes—
645C2×C4C2×D4×D711yescharacteristic
646C2×C4C2×Q8×D712yes—
647C2×C4#655412yes—
648C2×C4C24×D711yescharacteristic
649C8—22no—
650C8—22no—
651C8—74no—
652C8—142no—
653C7C2×#338111yescharacteristic, complemented, Sylow
654C22—144no—
655C22—282no—
656C22—288no—
657C22—282no—
658C22#9032312yes—
659C22D7×#13512yes—
660C22#9046912yes—
661C22C22×D4×D711yescharacteristic
662C4—22no—
663C4—24no—
664C4—22no—
665C4—42no—
666C4—42no—
667C4—42no—
668C4—74no—
669C4—142no—
670C4—142no—
671C4—142no—
672C4—282no—
673C4—282no—
674C4—282no—
675C4#9032312yes—
676C4C22×Q8×D711yescharacteristic
677C4C2×#655411yescharacteristic
678C2—284no—
679C2#1173866614yesdirect product factor
680C2C2×#9032311yescharacteristic
681C2C2×D7×#13511yescharacteristic
682C2C2×#9046911yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#479C2
socleC23×C7C22×D4
prime radicalC22×D28C23
hypercenterC2×#479D7
hypocenterC7C2×#3381
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
2. C2×#90260C2semidirect
3. C2×C7×#479C2semidirect
4. C2×#89836C2semidirect
6. #11738666C2direct (N × H)
8. C2×#89650C2semidirect
10. C2×#89627C2semidirect
12. C2×#89602C2semidirect
13. C2×#89571C2semidirect
14. C2×#89566C2semidirect
25. #90260C22semidirect
43. C7×#479C22semidirect
58. #89836C22semidirect
68. #89650C22semidirect
70. #89627C22semidirect
72. #89602C22semidirect
73. #89571C22semidirect
74. #89566C22semidirect
104. C2×#1143Q8semidirect
185. C2×#479D7semidirect
245. #1143C2×Q8semidirect
308. #479C2×D7semidirect
597. C2×C7#3381semidirect
653. C7C2×#3381semidirect
679. C2#11738666direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#903812
C2×#902602
C2×C7×#4792
C2×#898362
C2×C4×#11432
#117386662
C2×#896622
C2×#896502
C2×#896432
C2×#896272
C2×#896192
C2×#896022
C2×#895712
C2×#895662
C2×#895602
C2×#33817