Finite Group Databasebeta

← C2×#11739420 #14223425

Subgroups — C2×#11739420 #14223425

Order 1792.

1854 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90420C211yesmaximal, characteristic
2C2×#90380C211yesmaximal, characteristic
3C2×C7×#501C211yesmaximal, characteristic, complemented
4C2×#89850C211yesmaximal, characteristic, complemented
5C2×#89836C211yesmaximal, characteristic, complemented
6#11739420C2116yesmaximal, direct product factor
7C2×#89653C211yesmaximal, characteristic
8C2×D7×#107C211yesmaximal, characteristic
9C2×#89648C211yesmaximal, characteristic, complemented
10C2×#89646C211yesmaximal, characteristic, complemented
11C2×#89633C211yesmaximal, characteristic
12C2×#89632C211yesmaximal, characteristic
13C2×#89628C211yesmaximal, characteristic, complemented
14C2×#89630C211yesmaximal, characteristic, complemented
15C2×#89480C211yesmaximal, characteristic
16C2×#89474C211yesmaximal, characteristic, complemented
17C2×C7×C4⋊Q8C2211yescharacteristic
18C2×C7×#125C2211yescharacteristic
19C2×#6509—21no—
20C2×#6507—21no—
21C22×#1131C2211yescharacteristic
22C22×C8×D7C2211yescharacteristic
23#90420—24no—
24#90420C2218yes—
25#90380—24no—
26#90380C2218yes—
27C2×#6460—21no—
28C2×#6459—21no—
29C2×#6459—21no—
30C2×#6455C2211yescharacteristic
31C2×#6455C2211yescharacteristic
32C2×D7×C4⋊C4C2211yescharacteristic
33C2×D7×C4⋊C4C2211yescharacteristic
34C2×#6453C2211yescharacteristic
35C2×#6453C2211yescharacteristic
36C2×#6452—21no—
37C2×#6452—21no—
38C2×#6451—21no—
39C2×#6451C2211yescharacteristic
40C2×#6451C2211yescharacteristic
41C2×#6435C2211yescharacteristic
42C2×#6433C2211yescharacteristic
43C2×#6432C2211yescharacteristic
44C7×#501C2218yescomplemented
45C2×C7×#107C2211yescharacteristic
46C2×C7×#107C2211yescharacteristic
47C2×C7×#106C2211yescharacteristic
48C2×C7×#106C2211yescharacteristic
49C2×C7×#97C2211yescharacteristic
50C2×#6392C2211yescharacteristic
51C2×#6392C2211yescharacteristic
52C2×#6391C2211yescharacteristic
53C2×#6391C2211yescharacteristic
54C2×#6389C2211yescharacteristic
55C2×C8×Dic7C2211yescharacteristic
56#89850C2218yescomplemented
57#89836C2218yescomplemented
58C2×#6382C2211yescharacteristic
59C2×#6382C2211yescharacteristic
60C2×#6381C2211yescharacteristic
61C2×#6381C2211yescharacteristic
62C2×#6381C2211yescharacteristic
63C2×#6381C2211yescharacteristic
64C2×#6381C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×C4×C7⋊C8C2211yescharacteristic
67#89653C2218yes—
68D7×#107C2218yes—
69#89648C2218yescomplemented
70#89646C2218yescomplemented
71#89633C2218yes—
72#89632C2218yes—
73#89630C2218yescomplemented
74#89628C2218yescomplemented
75#89480C2218yes—
76#89474C2218yescomplemented
77C2×#3164—71nomaximal, Sylow
78C22×C7×Q8—21no—
79C22×C4×D7—21no—
80C22×C4×D7—21no—
81C22×C4×D7C2311yescharacteristic
82C22×Dic14—21no—
83C22×Dic14—21no—
84C22×Dic14—21no—
85C22×C7×C8C2311yescharacteristic
86C22×C7×C8C2311yescharacteristic
87C7×C4⋊Q8—22no—
88C7×C4⋊Q8C2314yes—
89C7×#125—22no—
90C7×#125C2314yes—
91C2×C7×C4⋊C4—21no—
92C2×C7×C4⋊C4—21no—
93C2×C7×C4⋊C4—21no—
94C2×C7×C4⋊C4C2311yescharacteristic
95C2×C7×C4⋊C4C2311yescharacteristic
96C2×C7×C4⋊C4C2311yescharacteristic
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C42×C7C2311yescharacteristic
99#6509—28no—
100#6507—28no—
101C2×(C2×D7)⋊C4—21no—
102C2×(C2×D7)⋊C4—21no—
103C2×(C2×D7)⋊C4D411yescharacteristic
104C2×(C2×D7)⋊C4D411yescharacteristic
105C2×C4⋊Dic7—21no—
106C2×C4⋊Dic7—21no—
107C2×C4⋊Dic7—21no—
108C2×C4⋊Dic7C2311yescharacteristic
109C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4—21no—
120C2×Dic7⋊C4D411yescharacteristic
121C2×Dic7⋊C4D411yescharacteristic
122C2×C4×Dic7—21no—
123C2×C4×Dic7—21no—
124C2×C4×Dic7C2311yescharacteristic
125C22×C7⋊C8C2311yescharacteristic
126C22×C7⋊C8C2311yescharacteristic
127C2×#1131Q818yescomplemented
128C2×#1131C2314yes—
129C2×C8×D7Q818yescomplemented
130C2×C8×D7C2314yes—
131#6460—28no—
132#6459—28no—
133#6459—28no—
134#6455—22no—
135#6455—22no—
136#6455C2314yes—
137#6455C2314yes—
138D7×C4⋊C4—22no—
139D7×C4⋊C4—22no—
140D7×C4⋊C4C2314yes—
141D7×C4⋊C4C2314yes—
142#6453—22no—
143#6453—22no—
144#6453C2314yes—
145#6453C2314yes—
146#6452—28no—
147#6452—28no—
148#6451—28no—
149#6451—22no—
150#6451—22no—
151#6451C2314yes—
152#6451C2314yes—
153#6435D414yes—
154#6435C2314yes—
155#6433—22no—
156#6433C2314yes—
157#6432—22no—
158#6432C2314yes—
159C7×#107C2314yes—
160C7×#107C2314yes—
161C7×#106C2314yes—
162C7×#106C2314yes—
163C7×#97C2314yes—
164#6392C2314yes—
165#6392C2314yes—
166#6391C2314yes—
167#6391C2314yes—
168#6389C2314yes—
169C8×Dic7C2314yes—
170#6382C2314yes—
171#6382C2314yes—
172#6381C2314yes—
173#6381C2314yes—
174#6381C2314yes—
175#6381C2314yes—
176#6381C2314yes—
177#6381C2314yes—
178C4×C7⋊C8C2314yes—
179C2×#544—71no—
180C2×#544—71no—
181#3164—716no—
182C2×#501—71no—
183C2×#501—71no—
184C2×#501—71no—
185C2×#501D711yescharacteristic, complemented
186C2×#500—71no—
187C2×#500—71no—
188C2×#499—71no—
189C2×#499—71no—
190C2×#428—71no—
191C2×#428—71no—
192C2×#427—71no—
193C22×#107—71no—
194C2×#405—71no—
195C23×D7C2×D411yescharacteristic
196C2×C7×Q8—24no—
197C2×C7×Q8—82no—
198C22×C4×C7—21no—
199C22×C4×C7—21no—
200C22×C4×C7—21no—
201C22×C4×C7—21no—
202C22×C4×C7C2×D411yescharacteristic
203C22×C4×C7C2×D411yescharacteristic
204C22×C4×C7C2411yescharacteristic
205C22×Dic7—21no—
206C22×Dic7—21no—
207C22×Dic7—21no—
208C22×Dic7—21no—
209C22×Dic7C2×D411yescharacteristic
210C22×Dic7C2×D411yescharacteristic
211C22×Dic7C2×D411yescharacteristic
212C2×C4×D7—24no—
213C2×C4×D7—24no—
214C2×C4×D7—82no—
215C2×C4×D7—82no—
216C2×C4×D7C2×D412yes—
217C2×C4×D7C2×Q814yes—
218C2×C4×D7C2×Q814yes—
219C2×C4×D7C2412yes—
220C2×Dic14—24no—
221C2×Dic14—24no—
222C2×Dic14—24no—
223C2×Dic14—82no—
224C2×Dic14—82no—
225C2×Dic14—82no—
226C2×C7×C8C2×Q814yes—
227C2×C7×C8C2×Q814yes—
228C2×C7×C8C2412yes—
229C2×C7×C8C2412yes—
230C7×C4⋊C4—21no—
231C7×C4⋊C4—21no—
232C7×C4⋊C4—24no—
233C7×C4⋊C4—24no—
234C7×C4⋊C4—24no—
235C7×C4⋊C4—21no—
236C7×C4⋊C4—21no—
237C7×C4⋊C4C2412yes—
238C7×C4⋊C4C2412yes—
239C7×C4⋊C4C2412yes—
240C7×C4⋊C4C2412yes—
241C42×C7C2×D412yes—
242C42×C7C2412yes—
243(C2×D7)⋊C4—24no—
244(C2×D7)⋊C4—24no—
245(C2×D7)⋊C4C2×D414yes—
246(C2×D7)⋊C4C2×D414yes—
247C4⋊Dic7—21no—
248C4⋊Dic7—21no—
249C4⋊Dic7—24no—
250C4⋊Dic7—21no—
251C4⋊Dic7—21no—
252C4⋊Dic7—24no—
253C4⋊Dic7—24no—
254C4⋊Dic7C2412yes—
255C4⋊Dic7C2412yes—
256C4⋊Dic7C2412yes—
257C4⋊Dic7C2412yes—
258Dic7⋊C4—24no—
259Dic7⋊C4—24no—
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×Dic7C2412yes—
272C2×C7⋊C8C2×Q814yes—
273C2×C7⋊C8C2×Q814yes—
274C2×C7⋊C8C2412yes—
275C2×C7⋊C8C2412yes—
276#1131C2×Q8116yescomplemented
277C8×D7C2×Q8116yescomplemented
278C22×M16—71no—
279C23×C8—71no—
280#544—78no—
281#544—78no—
282#544—144no—
283#544—144no—
284C2×C4⋊Q8—71no—
285C2×C4⋊Q8—71no—
286C2×C4⋊Q8—71no—
287C2×C4⋊Q8—141no—
288C2×C4⋊Q8—141no—
289C2×C4⋊Q8C2×D711yescharacteristic
290C2×#125—71no—
291C2×#125—71no—
292C2×#125—71no—
293C2×#125—141no—
294C2×#125—141no—
295C2×#125C2×D711yescharacteristic
296C2×C22⋊Q8—141no—
297C2×C22⋊Q8—141no—
298C2×C22⋊Q8—141no—
299C2×C22⋊Q8—141no—
300C2×#117—71no—
301C2×#117—71no—
302C2×#117—71no—
303C22×C4⋊C4—71no—
304C22×C4⋊C4—71no—
305#501—78no—
306#501—78no—
307#501—78no—
308#501C2×D718yescomplemented
309#500—78no—
310#500—78no—
311#499—78no—
312#499—78no—
313#428—78no—
314#428—78no—
315#427—78no—
316C2×#107—71no—
317C2×#107—71no—
318C2×#107—71no—
319C2×#107—71no—
320C2×#107—71no—
321C2×#107—71no—
322C2×#107—71no—
323C2×#107—71no—
324C2×#107—78no—
325C2×#107C2×D711yescharacteristic
326C2×#107C2×D711yescharacteristic
327C2×#106—71no—
328C2×#106—71no—
329C2×#106—71no—
330C2×#106—71no—
331C2×#106C2×D711yescharacteristic
332C2×#106C2×D711yescharacteristic
333#405—78no—
334C2×#97—71no—
335C2×#97C2×D711yescharacteristic
336C2×C4×C8—71no—
337C2×C4×C8—71no—
338C23×C7C22×D411yescharacteristic
339C22×D7—22no—
340C22×D7—22no—
341C22×D7C4⋊Q814yes—
342C22×D7C22×D412yes—
343C7×Q8—84no—
344C2×C4×C7—22no—
345C2×C4×C7—22no—
346C2×C4×C7—22no—
347C2×C4×C7—22no—
348C2×C4×C7—22no—
349C2×C4×C7—22no—
350C2×C4×C7—42no—
351C2×C4×C7—42no—
352C2×C4×C7—42no—
353C2×C4×C7—42no—
354C2×C4×C7C22×D412yes—
355C2×C4×C7C22×D412yes—
356C2×C4×C7C22×D411yescharacteristic
357C2×C4×C7C22×Q812yes—
358C2×C4×C7C22×Q812yes—
359C2×C4×C7C2511yescharacteristic
360C2×Dic7—22no—
361C2×Dic7—22no—
362C2×Dic7—22no—
363C2×Dic7—22no—
364C2×Dic7—22no—
365C2×Dic7—22no—
366C2×Dic7—42no—
367C2×Dic7—42no—
368C2×Dic7—42no—
369C2×Dic7—42no—
370C2×Dic7C4⋊Q814yes—
371C2×Dic7C22×D412yes—
372C2×Dic7C22×D412yes—
373C2×Dic7C22×D412yes—
374C4×D7—84no—
375C4×D7—84no—
376C4×D7C4⋊Q818yes—
377C4×D7C22×Q814yes—
378C4×D7C22×Q814yes—
379Dic14—84no—
380Dic14—84no—
381Dic14—84no—
382C7×C8C22×Q814yes—
383C7×C8C22×Q814yes—
384C7⋊C8C22×Q814yes—
385C7⋊C8C22×Q814yes—
386C22×Q8—21no—
387C22×Q8—141no—
388C22×Q8—141no—
389C22×Q8—141no—
390C23×C4—71no—
391C23×C4—141no—
392C23×C4—141no—
393C2×M16—78no—
394C2×M16—74no—
395C22×C8—71no—
396C22×C8—71no—
397C22×C8—78no—
398C22×C8—74no—
399C22×C8C22×D711yescharacteristic
400C22×C8C22×D711yescharacteristic
401C4⋊Q8—22no—
402C4⋊Q8—74no—
403C4⋊Q8—74no—
404C4⋊Q8—74no—
405C4⋊Q8—142no—
406C4⋊Q8—142no—
407C4⋊Q8—148no—
408C4⋊Q8—148no—
409C4⋊Q8—142no—
410C4⋊Q8C22×D714yes—
411#125—22no—
412#125—74no—
413#125—74no—
414#125—74no—
415#125—142no—
416#125—142no—
417#125—148no—
418#125—148no—
419#125—142no—
420#125C22×D714yes—
421C22⋊Q8—148no—
422C22⋊Q8—148no—
423C22⋊Q8—148no—
424C22⋊Q8—148no—
425#117—74no—
426#117—74no—
427#117—74no—
428#117—74no—
429#117—142no—
430#117—142no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—71no—
435C2×C4⋊C4—71no—
436C2×C4⋊C4—71no—
437C2×C4⋊C4—71no—
438C2×C4⋊C4—71no—
439C2×C4⋊C4—71no—
440C2×C4⋊C4—74no—
441C2×C4⋊C4—74no—
442C2×C4⋊C4—142no—
443C2×C4⋊C4—142no—
444C2×C4⋊C4—141no—
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—71no—
460C2×C22⋊C4—71no—
461C2×C22⋊C4—141no—
462C2×C22⋊C4—141no—
463C2×C42—71no—
464C2×C42—141no—
465C2×C42—141no—
466C2×C42C22×D711yescharacteristic
467#107—74no—
468#107—74no—
469#107—74no—
470#107—74no—
471#107—74no—
472#107—74no—
473#107—74no—
474#107—74no—
475#107C22×D714yes—
476#107C22×D714yes—
477#106—74no—
478#106—74no—
479#106—74no—
480#106—74no—
481#106C22×D714yes—
482#106C22×D714yes—
483#97—74no—
484#97C22×D714yes—
485C4×C8—74no—
486C4×C8—74no—
487C22×C7C2×C4⋊Q812yes—
488C22×C7#57612yes—
489C22×C7#57812yes—
490C22×C7C23×D411yescharacteristic
491C2×D7—28no—
492C2×D7—22no—
493C2×D7—22no—
494C2×D7C2×C4⋊Q814yes—
495C4×C7—22no—
496C4×C7—22no—
497C4×C7—42no—
498C4×C7—42no—
499C4×C7—42no—
500C4×C7—42no—
501C4×C7C2×C4⋊Q812yes—
502C4×C7C23×Q811yescharacteristic
503C4×C7C23×Q811yescharacteristic
504Dic7—22no—
505Dic7—22no—
506Dic7—42no—
507Dic7—42no—
508Dic7—42no—
509Dic7—42no—
510Dic7C2×C4⋊Q814yes—
511C24—71no—
512C2×Q8—24no—
513C2×Q8—82no—
514C2×Q8—144no—
515C2×Q8—144no—
516C2×Q8—144no—
517C2×Q8—562no—
518C2×Q8—562no—
519C2×Q8—562no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—71no—
525C22×C4—72no—
526C22×C4—74no—
527C22×C4—74no—
528C22×C4—72no—
529C22×C4—71no—
530C22×C4—71no—
531C22×C4—144no—
532C22×C4—144no—
533C22×C4—141no—
534C22×C4—141no—
535C22×C4—141no—
536C22×C4—141no—
537C22×C4—562no—
538C22×C4—562no—
539C22×C4D4×D711yescharacteristic
540C22×C4D4×D711yescharacteristic
541C22×C4C23×D711yescharacteristic
542M16—716no—
543C2×C8—74no—
544C2×C8—74no—
545C2×C8—72no—
546C2×C8—72no—
547C2×C8—716no—
548C2×C8Q8×D714yes—
549C2×C8Q8×D714yes—
550C2×C8C23×D712yes—
551C2×C8C23×D712yes—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—74no—
560C4⋊C4—74no—
561C4⋊C4—72no—
562C4⋊C4—72no—
563C4⋊C4—72no—
564C4⋊C4—72no—
565C4⋊C4—144no—
566C4⋊C4—144no—
567C4⋊C4—144no—
568C4⋊C4—144no—
569C4⋊C4—144no—
570C4⋊C4—144no—
571C4⋊C4—144no—
572C4⋊C4—144no—
573C4⋊C4—144no—
574C4⋊C4—144no—
575C4⋊C4—141no—
576C4⋊C4—141no—
577C4⋊C4—141no—
578C4⋊C4—141no—
579C4⋊C4—144no—
580C4⋊C4C23×D712yes—
581C4⋊C4C23×D712yes—
582C4⋊C4C23×D712yes—
583C4⋊C4C23×D712yes—
584C22⋊C4—74no—
585C22⋊C4—74no—
586C22⋊C4—144no—
587C22⋊C4—144no—
588C42—72no—
589C42—72no—
590C42—144no—
591C42—144no—
592C42D4×D712yes—
593C42C23×D712yes—
594C2×C7#316414yescomplemented
595C2×C7C22×C4⋊Q811yescharacteristic
596C2×C7C2×#57611yescharacteristic
597C2×C7C2×#57811yescharacteristic
598D7—24no—
599C23—74no—
600C23—72no—
601C23—142no—
602C23—142no—
603C23C2×D4×D711yescharacteristic
604Q8—84no—
605Q8—564no—
606Q8—564no—
607Q8—564no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—74no—
619C2×C4—72no—
620C2×C4—78no—
621C2×C4—74no—
622C2×C4—74no—
623C2×C4—72no—
624C2×C4—72no—
625C2×C4—142no—
626C2×C4—142no—
627C2×C4—142no—
628C2×C4—142no—
629C2×C4—142no—
630C2×C4—142no—
631C2×C4—282no—
632C2×C4—282no—
633C2×C4—282no—
634C2×C4—282no—
635C2×C4—564no—
636C2×C4—564no—
637C2×C4C2×D4×D712yes—
638C2×C4C2×D4×D712yes—
639C2×C4C2×D4×D711yescharacteristic
640C2×C4C2×Q8×D712yes—
641C2×C4C2×Q8×D712yes—
642C2×C4C24×D711yescharacteristic
643C8—74no—
644C8—74no—
645C8C2×Q8×D714yes—
646C8C2×Q8×D714yes—
647C7C2×#316411yescharacteristic, complemented, Sylow
648C22—74no—
649C22—142no—
650C22—142no—
651C22—148no—
652C22D7×C4⋊Q812yes—
653C22#9046512yes—
654C22#9047012yes—
655C22C22×D4×D711yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—42no—
660C4—42no—
661C4—42no—
662C4—74no—
663C4—142no—
664C4—142no—
665C4—282no—
666C4—282no—
667C4—282no—
668C4—282no—
669C4D7×C4⋊Q812yes—
670C4C22×Q8×D711yescharacteristic
671C4C22×Q8×D711yescharacteristic
672C2—144no—
673C2#1173942014yesdirect product factor
674C2C2×D7×C4⋊Q811yescharacteristic
675C2C2×#9046511yescharacteristic
676C2C2×#9047011yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#501C2
socleC23×C7C22×D4
prime radicalC23×D7C2×D4
hypercenterC2×#501D7
hypocenterC7C2×#3164
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
3. C2×C7×#501C2semidirect
4. C2×#89850C2semidirect
5. C2×#89836C2semidirect
6. #11739420C2direct (N × H)
9. C2×#89648C2semidirect
10. C2×#89646C2semidirect
13. C2×#89628C2semidirect
14. C2×#89630C2semidirect
16. C2×#89474C2semidirect
44. C7×#501C22semidirect
56. #89850C22semidirect
57. #89836C22semidirect
69. #89648C22semidirect
70. #89646C22semidirect
73. #89630C22semidirect
74. #89628C22semidirect
76. #89474C22semidirect
127. C2×#1131Q8semidirect
129. C2×C8×D7Q8semidirect
185. C2×#501D7semidirect
276. #1131C2×Q8semidirect
277. C8×D7C2×Q8semidirect
308. #501C2×D7semidirect
594. C2×C7#3164semidirect
647. C7C2×#3164semidirect
673. C2#11739420direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#904202
C2×#903802
C2×C7×#5012
C2×#898502
C2×#898362
#117394202
C2×#896532
C2×D7×#1072
C2×#896482
C2×#896462
C2×#896332
C2×#896322
C2×#896282
C2×#896302
C2×#894802
C2×#894742
C2×#31647