Finite Group Databasebeta

← C2×#11744087 #14262274

Subgroups — C2×#11744087 #14262274

Order 1792.

6958 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#557C211yesmaximal, characteristic, complemented
2#11744087C2132yesmaximal, direct product factor
3C2×#90421C213yesmaximal, complemented
4C2×#90420C213yesmaximal, complemented
5C2×#90380C213yesmaximal, complemented
6C2×D7×#125C213yesmaximal, complemented
7C2×#90381C213yesmaximal, complemented
8C2×#90381C213yesmaximal, complemented
9C2×#90270C213yesmaximal, complemented
10C2×#90269C213yesmaximal, complemented
11C2×#90260C211yesmaximal, characteristic, complemented
12C2×#90260C211yesmaximal, characteristic, complemented
13C2×#90261C211yesmaximal, characteristic, complemented
14C2×#90265C211yesmaximal, characteristic
15C2×#90265C211yesmaximal, characteristic
16C2×C4×#1161C211yesmaximal, characteristic
17C22×#1161C2211yescharacteristic
18C7×#557C22116yescomplemented
19C2×C7×C4⋊Q8C2213yes—
20C2×C7×#125C2213yes—
21C2×C7×#125C2213yes—
22C2×C4×C7×Q8C2211yescharacteristic
23C2×C4×C7×Q8C2211yescharacteristic
24C2×C4×C7×Q8C2211yescharacteristic
25C2×C4×C7×Q8C2213yes—
26C2×#6509C2216yes—
27C2×#6509C2213yes—
28C2×Q8×Dic7C2211yescharacteristic
29C2×Q8×Dic7C2211yescharacteristic
30C2×Q8×Dic7C2211yescharacteristic
31C2×#6507C2213yes—
32#90421C22148yescomplemented
33#90420C22148yescomplemented
34#90381C22148yescomplemented
35#90381C22148yescomplemented
36#90380C22148yescomplemented
37D7×#125C22148yescomplemented
38#90270C22148yescomplemented
39#90269C22148yescomplemented
40#90265C22116yes—
41#90265C22116yes—
42C4×#1161C22116yes—
43#90261C22116yescomplemented
44#90260C22116yescomplemented
45#90260C22116yescomplemented
46C2×#6460C2216yes—
47C2×#6460C2213yes—
48C2×#6459C2216yes—
49C2×#6459C2213yes—
50C2×#6459C2213yes—
51C2×#6459C2216yes—
52C2×#6456C2213yes—
53C2×#6456C2213yes—
54C2×#6456C2213yes—
55C2×#6455C2213yes—
56C2×D7×C4⋊C4C2213yes—
57C2×D7×C4⋊C4C2216yes—
58C2×D7×C4⋊C4C2213yes—
59C2×D7×C4⋊C4C2216yes—
60C2×#6453C2213yes—
61C2×#6453C2213yes—
62C2×#6453C2213yes—
63C2×#6453C2213yes—
64C2×#6452C2216yes—
65C2×#6452C2211yescharacteristic
66C2×#6452C2213yes—
67C2×#6451C2213yes—
68C2×#6451C2213yes—
69C2×#6451C2213yes—
70C2×C4×D28C2213yes—
71C2×C4×D28C2213yes—
72C2×C4×D28C2213yes—
73C2×#6435C2213yes—
74C2×#6435C2213yes—
75C2×C42×D7C2213yes—
76C2×#6433C2213yes—
77C2×#6433C2213yes—
78C2×#6432C2213yes—
79C2×C4×Dic14C2213yes—
80C2×C4×Dic14C2213yes—
81C2×C4×Dic14C2213yes—
82C2×#3504—71nomaximal, Sylow
83C22×C7×Q8C2313yes—
84C22×C7×Q8C2311yescharacteristic
85C2×#1161Q8116yescomplemented
86C2×#1161C2318yes—
87C22×D28C2313yes—
88C22×C4×D7C2313yes—
89C22×C4×D7C2313yes—
90C22×C4×D7C2316yes—
91C22×C4×D7C2316yes—
92C22×C4×D7C2313yes—
93C22×Dic14C2313yes—
94C22×Dic14C2313yes—
95C22×Dic14C2313yes—
96C7×C4⋊Q8C23124yes—
97C7×#125C23124yes—
98C7×#125C23124yes—
99C4×C7×Q8C2318yes—
100C4×C7×Q8C2318yes—
101C4×C7×Q8C2318yes—
102C4×C7×Q8C23124yes—
103C2×C7×C4⋊C4C2313yes—
104C2×C7×C4⋊C4C2313yes—
105C2×C7×C4⋊C4C2313yes—
106C2×C7×C4⋊C4C2313yes—
107C2×C7×C4⋊C4C2316yes—
108C2×C7×C4⋊C4C2311yescharacteristic
109C2×C7×C4⋊C4C2313yes—
110C2×C42×C7C2313yes—
111C2×C42×C7C2313yes—
112C2×C42×C7C2313yes—
113#6509C23148yes—
114#6509C23124yes—
115Q8×Dic7C2318yes—
116Q8×Dic7C2318yes—
117Q8×Dic7C2318yes—
118#6507C23124yes—
119C2×(C2×D7)⋊C4C2313yes—
120C2×(C2×D7)⋊C4C2313yes—
121C2×(C2×D7)⋊C4C2313yes—
122C2×(C2×D7)⋊C4C2313yes—
123C2×(C2×D7)⋊C4C2316yes—
124C2×C4⋊Dic7C2311yescharacteristic
125C2×C4⋊Dic7C2313yes—
126C2×C4⋊Dic7C2313yes—
127C2×C4⋊Dic7C2313yes—
128C2×C4⋊Dic7C2313yes—
129C2×C4⋊Dic7C2316yes—
130C2×C4⋊Dic7C2313yes—
131C2×Dic7⋊C4C2311yescharacteristic
132C2×Dic7⋊C4C2311yescharacteristic
133C2×Dic7⋊C4C2313yes—
134C2×Dic7⋊C4C2313yes—
135C2×Dic7⋊C4C2313yes—
136C2×Dic7⋊C4C2313yes—
137C2×Dic7⋊C4C2316yes—
138C2×Dic7⋊C4C2316yes—
139C2×Dic7⋊C4C2311yescharacteristic
140C2×Dic7⋊C4C2311yescharacteristic
141C2×Dic7⋊C4C2313yes—
142C2×Dic7⋊C4C2313yes—
143C2×C4×Dic7C2313yes—
144C2×C4×Dic7C2313yes—
145C2×C4×Dic7C2313yes—
146C2×C4×Dic7C2311yescharacteristic
147C2×C4×Dic7C2313yes—
148#6460C23148yes—
149#6460C23124yes—
150#6459C23148yes—
151#6459C23148yes—
152#6459C23124yes—
153#6459C23124yes—
154#6456C23124yes—
155#6456C23124yes—
156#6456C23124yes—
157#6455C23124yes—
158D7×C4⋊C4C23124yes—
159D7×C4⋊C4C23148yes—
160D7×C4⋊C4C23148yes—
161D7×C4⋊C4C23124yes—
162#6453C23124yes—
163#6453C23124yes—
164#6453C23124yes—
165#6453C23124yes—
166#6452C23124yes—
167#6452C23148yes—
168#6452C2318yes—
169#6451C23124yes—
170#6451C23124yes—
171#6451C23124yes—
172C4×D28C23124yes—
173C4×D28C23124yes—
174C4×D28C23124yes—
175#6435C23124yes—
176#6435C23124yes—
177C42×D7C23124yes—
178#6433C23124yes—
179#6433C23124yes—
180#6432C23124yes—
181C4×Dic14C23124yes—
182C4×Dic14C23124yes—
183C4×Dic14C23124yes—
184#3504—732no—
185C2×#557—71no—
186C2×#557—71no—
187C2×#557—71no—
188C2×#557D711yescharacteristic, complemented
189C2×#554—73no—
190C2×#554—73no—
191C2×#554—73no—
192C2×#554—73no—
193C2×#544—73no—
194C2×#544—73no—
195C2×#533—73no—
196C22×#125—73no—
197C2×#520—71no—
198C2×#520—71no—
199C2×C4×#41—71no—
200C23×D7C2413yes—
201C2×C7×Q8—46no—
202C2×C7×Q8C2×Q818yes—
203C2×C7×Q8C24112yes—
204C2×C7×Q8C2414yes—
205C22×C4×C7C2411yescharacteristic
206C22×C4×C7C2413yes—
207C22×C4×C7C2411yescharacteristic
208C22×C4×C7C2413yes—
209C22×C4×C7C2413yes—
210C22×C4×C7C2411yescharacteristic
211C22×C4×C7C2413yes—
212C22×Dic7C2411yescharacteristic
213C22×Dic7C2411yescharacteristic
214C22×Dic7C2411yescharacteristic
215C22×Dic7C2413yes—
216C22×Dic7C2413yes—
217C22×Dic7C2413yes—
218C22×Dic7C2411yescharacteristic
219#1161C2×Q8164yescomplemented
220C2×D28C2×Q8124yes—
221C2×D28C24112yes—
222C2×C4×D7—46no—
223C2×C4×D7—412no—
224C2×C4×D7—412no—
225C2×C4×D7—46no—
226C2×C4×D7C2×Q8124yes—
227C2×C4×D7C24112yes—
228C2×C4×D7C24112yes—
229C2×C4×D7C24124yes—
230C2×C4×D7C24124yes—
231C2×C4×D7C24112yes—
232C2×Dic14—46no—
233C2×Dic14—46no—
234C2×Dic14—46no—
235C2×Dic14C24112yes—
236C2×Dic14C24112yes—
237C2×Dic14C24112yes—
238C7×C4⋊C4C24112yes—
239C7×C4⋊C4C24112yes—
240C7×C4⋊C4C24112yes—
241C7×C4⋊C4C24112yes—
242C7×C4⋊C4C24124yes—
243C7×C4⋊C4C2414yes—
244C7×C4⋊C4C24112yes—
245C42×C7C24112yes—
246C42×C7C24112yes—
247C42×C7C24112yes—
248(C2×D7)⋊C4C24112yes—
249(C2×D7)⋊C4C24112yes—
250(C2×D7)⋊C4C24112yes—
251(C2×D7)⋊C4C24112yes—
252(C2×D7)⋊C4C24124yes—
253C4⋊Dic7C2414yes—
254C4⋊Dic7C24112yes—
255C4⋊Dic7C24112yes—
256C4⋊Dic7C24112yes—
257C4⋊Dic7C24112yes—
258C4⋊Dic7C24124yes—
259C4⋊Dic7C24112yes—
260Dic7⋊C4C2414yes—
261Dic7⋊C4C2414yes—
262Dic7⋊C4C24112yes—
263Dic7⋊C4C24112yes—
264Dic7⋊C4C24112yes—
265Dic7⋊C4C24112yes—
266Dic7⋊C4C24124yes—
267Dic7⋊C4C24124yes—
268Dic7⋊C4C2414yes—
269Dic7⋊C4C2414yes—
270Dic7⋊C4C24112yes—
271Dic7⋊C4C24112yes—
272C4×Dic7C24112yes—
273C4×Dic7C24112yes—
274C4×Dic7C24112yes—
275C4×Dic7C2414yes—
276C4×Dic7C24112yes—
277C22×#41—71no—
278#557—716no—
279#557—716no—
280#557—716no—
281#557C2×D7116yescomplemented
282#554—748no—
283#554—748no—
284#554—748no—
285#554—748no—
286#544—748no—
287#544—748no—
288#533—748no—
289C2×C4⋊Q8—73no—
290C2×C4⋊Q8—73no—
291C2×C4⋊Q8—73no—
292C2×C4⋊Q8—73no—
293C2×C4⋊Q8—73no—
294C2×C4⋊Q8C2×D713yes—
295C2×#125—748no—
296C2×#125—73no—
297C2×#125—76no—
298C2×#125—71no—
299C2×#125—73no—
300C2×#125—73no—
301C2×#125—73no—
302C2×#125—73no—
303C2×#125—73no—
304C2×#125—73no—
305C2×#125C2×D713yes—
306C2×#125C2×D713yes—
307C2×C22⋊Q8—73no—
308C2×C22⋊Q8—76no—
309C2×C22⋊Q8—73no—
310C2×C22⋊Q8—73no—
311C2×C22⋊Q8—76no—
312C2×C22⋊Q8—76no—
313C2×C22⋊Q8—73no—
314C2×C22⋊Q8—76no—
315#520—716no—
316#520—716no—
317C4×#41—716no—
318C2×C4×Q8—71no—
319C2×C4×Q8—71no—
320C2×C4×Q8—71no—
321C2×C4×Q8—73no—
322C2×C4×Q8—73no—
323C2×C4×Q8—73no—
324C2×C4×Q8C2×D711yescharacteristic
325C2×C4×Q8C2×D711yescharacteristic
326C2×C4×Q8C2×D711yescharacteristic
327C2×C4×Q8C2×D713yes—
328C2×C4×D4—73no—
329C2×C4×D4—73no—
330C2×C4×D4—73no—
331C2×C4×D4—73no—
332C2×C4×D4—73no—
333C2×C4×D4—73no—
334C2×#117—73no—
335C2×#117—73no—
336C2×#117—73no—
337C22×C4⋊C4—73no—
338C22×C4⋊C4—73no—
339C22×C4⋊C4—76no—
340C22×C4⋊C4—76no—
341C22×C42—73no—
342C23×C7C2511yescharacteristic
343C22×D7—26no—
344C22×D7—26no—
345C22×D7C22×Q8112yes—
346C22×D7C2516yes—
347C7×Q8—412no—
348C7×Q8C22×Q8116yes—
349C2×C4×C7—22no—
350C2×C4×C7—26no—
351C2×C4×C7—26no—
352C2×C4×C7—22no—
353C2×C4×C7—26no—
354C2×C4×C7—22no—
355C2×C4×C7C22×Q8112yes—
356C2×C4×C7C2512yes—
357C2×C4×C7C2516yes—
358C2×C4×C7C2512yes—
359C2×C4×C7C2516yes—
360C2×C4×C7C2516yes—
361C2×C4×C7C2512yes—
362C2×C4×C7C2516yes—
363C2×Dic7—22no—
364C2×Dic7—22no—
365C2×Dic7—26no—
366C2×Dic7—26no—
367C2×Dic7—26no—
368C2×Dic7—22no—
369C2×Dic7C22×Q814yes—
370C2×Dic7C2512yes—
371C2×Dic7C2512yes—
372C2×Dic7C2512yes—
373C2×Dic7C2516yes—
374C2×Dic7C2516yes—
375C2×Dic7C2516yes—
376C2×Dic7C2512yes—
377D28C22×Q8148yes—
378C4×D7—412no—
379C4×D7—424no—
380C4×D7—424no—
381C4×D7—412no—
382C4×D7C22×Q8148yes—
383Dic14—412no—
384Dic14—412no—
385Dic14—412no—
386C2×#41—716no—
387C2×#41—78no—
388C22×Q8—73no—
389C22×Q8—73no—
390C22×Q8—73no—
391C22×Q8C22×D713yes—
392C22×Q8C22×D711yescharacteristic
393C22×D4—73no—
394C23×C4—73no—
395C23×C4—76no—
396C23×C4—76no—
397C23×C4—73no—
398C23×C4—73no—
399C4⋊Q8—724no—
400C4⋊Q8—724no—
401C4⋊Q8—724no—
402C4⋊Q8—724no—
403C4⋊Q8—724no—
404C4⋊Q8C22×D7124yes—
405#125—724no—
406#125—748no—
407#125—724no—
408#125—724no—
409#125—78no—
410#125—724no—
411#125—724no—
412#125—724no—
413#125—724no—
414#125C22×D7124yes—
415#125C22×D7124yes—
416C22⋊Q8—724no—
417C22⋊Q8—748no—
418C22⋊Q8—724no—
419C22⋊Q8—724no—
420C22⋊Q8—724no—
421C22⋊Q8—748no—
422C22⋊Q8—748no—
423C22⋊Q8—748no—
424C4×Q8—78no—
425C4×Q8—78no—
426C4×Q8—78no—
427C4×Q8—724no—
428C4×Q8—724no—
429C4×Q8—724no—
430C4×Q8C22×D718yes—
431C4×Q8C22×D718yes—
432C4×Q8C22×D718yes—
433C4×Q8C22×D7124yes—
434C4×D4—724no—
435C4×D4—724no—
436C4×D4—724no—
437C4×D4—724no—
438C4×D4—724no—
439C4×D4—724no—
440#117—724no—
441#117—724no—
442#117—724no—
443C2×C4⋊C4—73no—
444C2×C4⋊C4—73no—
445C2×C4⋊C4—73no—
446C2×C4⋊C4—73no—
447C2×C4⋊C4—73no—
448C2×C4⋊C4—73no—
449C2×C4⋊C4—73no—
450C2×C4⋊C4—76no—
451C2×C4⋊C4—76no—
452C2×C4⋊C4—76no—
453C2×C4⋊C4—71no—
454C2×C4⋊C4—71no—
455C2×C4⋊C4—73no—
456C2×C4⋊C4—71no—
457C2×C4⋊C4—71no—
458C2×C4⋊C4—71no—
459C2×C4⋊C4—73no—
460C2×C4⋊C4—73no—
461C2×C4⋊C4—73no—
462C2×C4⋊C4—724no—
463C2×C4⋊C4—724no—
464C2×C4⋊C4—748no—
465C2×C4⋊C4—748no—
466C2×C4⋊C4C22×D713yes—
467C2×C4⋊C4C22×D713yes—
468C2×C4⋊C4C22×D713yes—
469C2×C4⋊C4C22×D716yes—
470C2×C4⋊C4C22×D713yes—
471C2×C4⋊C4C22×D711yescharacteristic
472C2×C4⋊C4C22×D713yes—
473C2×C22⋊C4—73no—
474C2×C22⋊C4—73no—
475C2×C22⋊C4—76no—
476C2×C22⋊C4—73no—
477C2×C22⋊C4—73no—
478C2×C42—73no—
479C2×C42—73no—
480C2×C42—73no—
481C2×C42—73no—
482C2×C42—71no—
483C2×C42—724no—
484C2×C42C22×D713yes—
485C2×C42C22×D713yes—
486C2×C42C22×D713yes—
487C22×C7C23×Q812yes—
488C22×C7#58512yes—
489C22×C7#58512yes—
490C22×C7C2611yescharacteristic
491C2×D7—26no—
492C2×D7—26no—
493C2×D7—224no—
494C2×D7C23×Q8112yes—
495C4×C7—22no—
496C4×C7—26no—
497C4×C7—26no—
498C4×C7—22no—
499C4×C7—26no—
500C4×C7—22no—
501C4×C7C23×Q8112yes—
502Dic7—22no—
503Dic7—22no—
504Dic7—26no—
505Dic7—26no—
506Dic7—26no—
507Dic7—22no—
508Dic7C23×Q814yes—
509C24—73no—
510#41—764no—
511C2×Q8—46no—
512C2×Q8—712no—
513C2×Q8—712no—
514C2×Q8—712no—
515C2×Q8—286no—
516C2×Q8—286no—
517C2×Q8—286no—
518C2×Q8Q8×D718yes—
519C2×Q8C23×D7112yes—
520C2×Q8C23×D714yes—
521C2×D4—724no—
522C2×D4—712no—
523C22×C4—71no—
524C22×C4—724no—
525C22×C4—712no—
526C22×C4—71no—
527C22×C4—71no—
528C22×C4—71no—
529C22×C4—73no—
530C22×C4—73no—
531C22×C4—73no—
532C22×C4—712no—
533C22×C4—712no—
534C22×C4—724no—
535C22×C4—724no—
536C22×C4—2812no—
537C22×C4—286no—
538C22×C4—286no—
539C22×C4—2812no—
540C22×C4C23×D711yescharacteristic
541C22×C4C23×D713yes—
542C22×C4C23×D711yescharacteristic
543C22×C4C23×D711yescharacteristic
544C22×C4C23×D713yes—
545C22×C4C23×D713yes—
546C22×C4C23×D713yes—
547C4⋊C4—712no—
548C4⋊C4—712no—
549C4⋊C4—712no—
550C4⋊C4—712no—
551C4⋊C4—724no—
552C4⋊C4—724no—
553C4⋊C4—74no—
554C4⋊C4—74no—
555C4⋊C4—74no—
556C4⋊C4—74no—
557C4⋊C4—712no—
558C4⋊C4—712no—
559C4⋊C4—712no—
560C4⋊C4—712no—
561C4⋊C4—712no—
562C4⋊C4—724no—
563C4⋊C4—712no—
564C4⋊C4—74no—
565C4⋊C4—712no—
566C4⋊C4C23×D7112yes—
567C4⋊C4C23×D7112yes—
568C4⋊C4C23×D7112yes—
569C4⋊C4C23×D7124yes—
570C4⋊C4C23×D7112yes—
571C4⋊C4C23×D714yes—
572C4⋊C4C23×D7112yes—
573C22⋊C4—712no—
574C22⋊C4—712no—
575C22⋊C4—724no—
576C22⋊C4—712no—
577C22⋊C4—712no—
578C42—74no—
579C42—712no—
580C42—712no—
581C42—712no—
582C42—712no—
583C42C23×D7112yes—
584C42C23×D7112yes—
585C42C23×D7112yes—
586C2×C7#350414yescomplemented
587C2×C7C24×Q811yescharacteristic
588C2×C7C2×#58511yescharacteristic
589C2×C7C2×#58511yescharacteristic
590D7—212no—
591C23—76no—
592C23—712no—
593C23—146no—
594C23—146no—
595C23C24×D711yescharacteristic
596Q8—412no—
597Q8—2812no—
598Q8—2812no—
599Q8—2812no—
600Q8C2×Q8×D7116yes—
601D4—748no—
602C2×C4—26no—
603C2×C4—26no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—26no—
607C2×C4—22no—
608C2×C4—72no—
609C2×C4—74no—
610C2×C4—748no—
611C2×C4—72no—
612C2×C4—72no—
613C2×C4—72no—
614C2×C4—76no—
615C2×C4—76no—
616C2×C4—76no—
617C2×C4—142no—
618C2×C4—146no—
619C2×C4—142no—
620C2×C4—146no—
621C2×C4—146no—
622C2×C4—142no—
623C2×C4—2824no—
624C2×C4—2812no—
625C2×C4—2812no—
626C2×C4—2824no—
627C2×C4C2×Q8×D7112yes—
628C2×C4C24×D712yes—
629C2×C4C24×D716yes—
630C2×C4C24×D712yes—
631C2×C4C24×D712yes—
632C2×C4C24×D716yes—
633C2×C4C24×D716yes—
634C2×C4C24×D716yes—
635C7C2×#350411yescharacteristic, complemented, Sylow
636C22—712no—
637C22—146no—
638C22—146no—
639C22—1424no—
640C22C22×Q8×D712yes—
641C22#9061612yes—
642C22#9062012yes—
643C22C25×D711yescharacteristic
644C4—26no—
645C4—26no—
646C4—22no—
647C4—22no—
648C4—26no—
649C4—22no—
650C4—74no—
651C4—142no—
652C4—146no—
653C4—142no—
654C4—146no—
655C4—146no—
656C4—142no—
657C4C22×Q8×D7112yes—
658C2—1412no—
659C2#1174408714yesdirect product factor
660C2C23×Q8×D711yescharacteristic
661C2C2×#9061611yescharacteristic
662C2C2×#9062011yescharacteristic
subgroupG/H
centerC23C24×D7
commutator, cosocleC22×C7C26
FrattiniC22C25×D7
FittingC2×C7×#557C2
socleC23×C7C25
prime radicalC22×#1161C22
hypercenterC2×#557D7
hypocenterC7C2×#3504
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. C2×C7×#557C2semidirect
2. #11744087C2direct (N × H)
3. C2×#90421C2semidirect
4. C2×#90420C2semidirect
5. C2×#90380C2semidirect
6. C2×D7×#125C2semidirect
7. C2×#90381C2semidirect
8. C2×#90381C2semidirect
9. C2×#90270C2semidirect
10. C2×#90269C2semidirect
11. C2×#90260C2semidirect
12. C2×#90260C2semidirect
13. C2×#90261C2semidirect
18. C7×#557C22semidirect
32. #90421C22semidirect
33. #90420C22semidirect
34. #90381C22semidirect
35. #90381C22semidirect
36. #90380C22semidirect
37. D7×#125C22semidirect
38. #90270C22semidirect
39. #90269C22semidirect
43. #90261C22semidirect
44. #90260C22semidirect
45. #90260C22semidirect
85. C2×#1161Q8semidirect
188. C2×#557D7semidirect
219. #1161C2×Q8semidirect
281. #557C2×D7semidirect
586. C2×C7#3504semidirect
635. C7C2×#3504semidirect
659. C2#11744087direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#5572
#117440872
C2×#904212
C2×#904202
C2×#903802
C2×D7×#1252
C2×#903812
C2×#902702
C2×#902692
C2×#902602
C2×#902612
C2×#902652
C2×C4×#11612
C2×#35047