Finite Group Databasebeta

← C2×#22599610 #32869659

Subgroups — C2×#22599610 #32869659

Order 18176.

1678 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×#17986627C211yesmaximal, characteristic
2C2×#17986611C211yesmaximal, characteristic
3#22599610C2116yesmaximal, direct product factor
4C2×#17986408C211yesmaximal, characteristic, complemented
5C2×#17986401C211yesmaximal, characteristic, complemented
6C2×#17986368C211yesmaximal, characteristic, complemented
7C2×#17986350C211yesmaximal, characteristic, complemented
8C2×#17986335C211yesmaximal, characteristic
9C2×#17986341C211yesmaximal, characteristic
10C2×#17986341C211yesmaximal, characteristic
11C2×#17986330C211yesmaximal, characteristic
12C2×#17986307C211yesmaximal, characteristic, complemented
13C2×#17986307C211yesmaximal, characteristic, complemented
14C2×#17986295C211yesmaximal, characteristic, complemented
15C2×#17986285C211yesmaximal, characteristic, complemented
16C2×#433×C71C211yesmaximal, characteristic
17#17986627—24no—
18#17986627C2218yes—
19#17986611—24no—
20#17986611C2218yes—
21C2×#14556128C2211yescharacteristic
22C2×#14556128C2211yescharacteristic
23C2×#14556128C2211yescharacteristic
24C2×#14556127—21no—
25C2×#14556121—21no—
26C2×#14556121—21no—
27C2×#14556120C2211yescharacteristic
28C2×#14556120C2211yescharacteristic
29C2×#14556120C2211yescharacteristic
30C2×#14556119—21no—
31C2×#14556118—21no—
32C2×#14556118—21no—
33C2×#14556107C2211yescharacteristic
34C2×#14556107C2211yescharacteristic
35C2×#14556105—21no—
36C2×#14556105—21no—
37C2×C4×Dic142C2211yescharacteristic
38C2×C4×Dic142C2211yescharacteristic
39C2×#14556087C2211yescharacteristic
40C22×C4⋊Dic71C2211yescharacteristic
41#17986408C2218yescomplemented
42#17986401C2218yescomplemented
43#17986368C2218yescomplemented
44#17986350C2218yescomplemented
45#17986341C2218yes—
46#17986341C2218yes—
47#17986335C2218yes—
48#17986330C2218yes—
49#17986307C2218yescomplemented
50#17986307C2218yescomplemented
51#17986295C2218yescomplemented
52#17986285C2218yescomplemented
53C2×#14556062C2211yescharacteristic
54C2×#14556062C2211yescharacteristic
55C2×#14556062C2211yescharacteristic
56C2×#14556062C2211yescharacteristic
57C2×#14556060C2211yescharacteristic
58C2×#14556060C2211yescharacteristic
59C2×#14556060C2211yescharacteristic
60C2×#14556060C2211yescharacteristic
61C2×#14556053C2211yescharacteristic
62C2×#14556053C2211yescharacteristic
63C2×#14556053C2211yescharacteristic
64C2×#14556053C2211yescharacteristic
65C2×#14556053C2211yescharacteristic
66C2×#14556053C2211yescharacteristic
67C2×#14556053C2211yescharacteristic
68C2×#14556053C2211yescharacteristic
69C2×#117×C71C2211yescharacteristic
70#433×C71C2218yes—
71C2×C4⋊C8×C71C2211yescharacteristic
72C2×C4⋊C8×C71C2211yescharacteristic
73C2×C22⋊C8×C71C2211yescharacteristic
74C2×C22⋊C8×C71C2211yescharacteristic
75C2×#97×C71C2211yescharacteristic
76C2×C4×C8×C71C2211yescharacteristic
77C22×Dic142—21no—
78C22×Dic142—21no—
79C22×Dic142C2311yescharacteristic
80C22×Dic142C2311yescharacteristic
81C23×Dic71—21no—
82#14556128—22no—
83#14556128—22no—
84#14556128—22no—
85#14556128C2314yes—
86#14556128C2314yes—
87#14556128C2314yes—
88#14556127—28no—
89#14556121—28no—
90#14556121—28no—
91#14556120—22no—
92#14556120—22no—
93#14556120—22no—
94#14556120C2314yes—
95#14556120C2314yes—
96#14556120C2314yes—
97#14556119—28no—
98#14556118—28no—
99#14556118—28no—
100#14556107—22no—
101#14556107—22no—
102#14556107C2314yes—
103#14556107C2314yes—
104#14556105—28no—
105#14556105—28no—
106C4×Dic142—22no—
107C4×Dic142—22no—
108C4×Dic142C2314yes—
109C4×Dic142C2314yes—
110#14556087—22no—
111#14556087C2314yes—
112C2×C4⋊Dic71—22no—
113C2×C4⋊Dic71—21no—
114C2×C4⋊Dic71—21no—
115C2×C4⋊Dic71—21no—
116C2×C4⋊Dic71—21no—
117C2×C4⋊Dic71—21no—
118C2×C4⋊Dic71C2314yes—
119C2×C4⋊Dic71C2311yescharacteristic
120C2×C4⋊Dic71C2311yescharacteristic
121C2×C4⋊Dic71C2311yescharacteristic
122C2×C4⋊Dic71C2311yescharacteristic
123C2×C4⋊Dic71C2311yescharacteristic
124C2×C4⋊Dic71C2311yescharacteristic
125C2×Dic71⋊C4—21no—
126C2×Dic71⋊C4—21no—
127C2×Dic71⋊C4—21no—
128C2×Dic71⋊C4—21no—
129C2×Dic71⋊C4—21no—
130C2×Dic71⋊C4—21no—
131C2×Dic71⋊C4—21no—
132C2×Dic71⋊C4—21no—
133C2×Dic71⋊C4—21no—
134C2×Dic71⋊C4—21no—
135C2×C22⋊Dic71—21no—
136C2×C22⋊Dic71—21no—
137C2×C22⋊Dic71—21no—
138C2×C4×Dic71—21no—
139C2×C4×Dic71—21no—
140C2×C4×Dic71—21no—
141#14556062C2314yes—
142#14556062C2314yes—
143#14556062C2314yes—
144#14556062C2314yes—
145#14556060C2314yes—
146#14556060C2314yes—
147#14556060C2314yes—
148#14556060C2314yes—
149#14556053C2314yes—
150#14556053C2314yes—
151#14556053C2314yes—
152#14556053C2314yes—
153#14556053C2314yes—
154#14556053C2314yes—
155#14556053C2314yes—
156#14556053C2314yes—
157C23×C4×C71C2311yescharacteristic
158C22×C8×C71C2311yescharacteristic
159C22×C8×C71C2311yescharacteristic
160C22×C8×C71C2311yescharacteristic
161C22×C8×C71C2311yescharacteristic
162#117×C71D414yes—
163#117×C71C2314yes—
164C2×C4⋊C4×C71D411yescharacteristic
165C2×C4⋊C4×C71D411yescharacteristic
166C2×C22⋊C4×C71D411yescharacteristic
167C2×C22⋊C4×C71D411yescharacteristic
168C2×C42×C71C2311yescharacteristic
169C2×C42×C71C2311yescharacteristic
170C4⋊C8×C71C2314yes—
171C4⋊C8×C71C2314yes—
172C22⋊C8×C71C2314yes—
173C22⋊C8×C71C2314yes—
174#97×C71C2314yes—
175C4×C8×C71C2314yes—
176C2×Dic142—22no—
177C2×Dic142—22no—
178C2×Dic142—22no—
179C2×Dic142—22no—
180C2×Dic142—21no—
181C2×Dic142—21no—
182C2×Dic142—24no—
183C2×Dic142—24no—
184C2×Dic142—82no—
185C2×Dic142—82no—
186C2×Dic142C2412yes—
187C2×Dic142C2412yes—
188C22×Dic71—21no—
189C22×Dic71—21no—
190C22×Dic71—21no—
191C22×Dic71—21no—
192C22×Dic71—21no—
193C22×Dic71—21no—
194C22×Dic71—21no—
195C22×Dic71—21no—
196C22×Dic71—24no—
197C22×Dic71—82no—
198C4⋊Dic71—24no—
199C4⋊Dic71—21no—
200C4⋊Dic71—21no—
201C4⋊Dic71—24no—
202C4⋊Dic71—24no—
203C4⋊Dic71—24no—
204C4⋊Dic71—24no—
205C4⋊Dic71—21no—
206C4⋊Dic71—21no—
207C4⋊Dic71—21no—
208C4⋊Dic71—21no—
209C4⋊Dic71C2412yes—
210C4⋊Dic71C2412yes—
211C4⋊Dic71C2412yes—
212C4⋊Dic71C2412yes—
213C4⋊Dic71C2412yes—
214C4⋊Dic71C2412yes—
215Dic71⋊C4—24no—
216Dic71⋊C4—24no—
217Dic71⋊C4—24no—
218Dic71⋊C4—24no—
219Dic71⋊C4—24no—
220Dic71⋊C4—24no—
221Dic71⋊C4—24no—
222Dic71⋊C4—24no—
223Dic71⋊C4—24no—
224Dic71⋊C4—24no—
225C22⋊Dic71—24no—
226C22⋊Dic71—24no—
227C22⋊Dic71—24no—
228C4×Dic71—24no—
229C4×Dic71—24no—
230C4×Dic71—24no—
231C24×C71C2×D411yescharacteristic
232C22×C4×C71—22no—
233C22×C4×C71—22no—
234C22×C4×C71C2×D411yescharacteristic
235C22×C4×C71C2×D411yescharacteristic
236C22×C4×C71C2×D411yescharacteristic
237C22×C4×C71C2×D411yescharacteristic
238C22×C4×C71C2×D411yescharacteristic
239C22×C4×C71C2×D412yes—
240C22×C4×C71C2412yes—
241C22×C4×C71C2411yescharacteristic
242C2×C8×C71—22no—
243C2×C8×C71—22no—
244C2×C8×C71—22no—
245C2×C8×C71—22no—
246C2×C8×C71C2412yes—
247C2×C8×C71C2412yes—
248C2×C8×C71C2412yes—
249C2×C8×C71C2412yes—
250C4⋊C4×C71C2×D414yes—
251C4⋊C4×C71C2×D414yes—
252C22⋊C4×C71C2×D414yes—
253C22⋊C4×C71C2×D414yes—
254C42×C71C2×D412yes—
255C42×C71C2×D412yes—
256C42×C71C2412yes—
257C42×C71C2412yes—
258C23×C71—22no—
259C23×C71—22no—
260C23×C71—22no—
261C23×C71C22×D412yes—
262C23×C71C22×D411yescharacteristic
263C2×C4×C71—22no—
264C2×C4×C71—22no—
265C2×C4×C71—22no—
266C2×C4×C71—22no—
267C2×C4×C71—22no—
268C2×C4×C71—24no—
269C2×C4×C71—22no—
270C2×C4×C71—22no—
271C2×C4×C71C22×D412yes—
272C2×C4×C71C22×D412yes—
273C2×C4×C71C22×D412yes—
274C2×C4×C71C22×D412yes—
275C2×C4×C71C22×D412yes—
276C2×C4×C71C22×D411yescharacteristic
277C2×C4×C712−1+412yes—
278C2×C4×C712−1+412yes—
279C2×C4×C71C2511yescharacteristic
280C2×Dic71—22no—
281C2×Dic71—22no—
282C2×Dic71—22no—
283C2×Dic71—22no—
284C2×Dic71—22no—
285C2×Dic71—22no—
286C2×Dic71—22no—
287C2×Dic71—22no—
288C2×Dic71—42no—
289C2×Dic71—42no—
290C2×Dic71—42no—
291C2×Dic71—42no—
292C2×Dic71—42no—
293C2×Dic71—42no—
294C2×Dic71—42no—
295C2×Dic71—42no—
296C2×Dic71—84no—
297Dic142—22no—
298Dic142—22no—
299Dic142—22no—
300Dic142—22no—
301Dic142—42no—
302Dic142—42no—
303Dic142—84no—
304Dic142—84no—
305C8×C71—22no—
306C8×C71—22no—
307C8×C71—22no—
308C8×C71—22no—
309C22×C71—22no—
310C22×C71—22no—
311C22×C71—22no—
312C22×C71—44no—
313C22×C71#53612yes—
314C22×C71#57712yes—
315C22×C71#57812yes—
316C22×C71C23×D411yescharacteristic
317C4×C71—22no—
318C4×C71—22no—
319C4×C71—22no—
320C4×C71—22no—
321C4×C71—22no—
322C4×C71#53612yes—
323C4×C71C2×2−1+411yescharacteristic
324C4×C71C2×2−1+411yescharacteristic
325Dic71—42no—
326Dic71—42no—
327Dic71—42no—
328Dic71—42no—
329Dic71—42no—
330Dic71—42no—
331Dic71—42no—
332Dic71—42no—
333C2×#3242—711nomaximal, Sylow
334C2×C71—42no—
335C2×C71#324214yescomplemented
336C2×C71C2×#53611yescharacteristic
337C2×C71C2×#57711yescharacteristic
338C2×C71C2×#57811yescharacteristic
339C2×#544—711no—
340C2×#541—711no—
341#3242—7116no—
342C2×#501—711no—
343C2×#499—711no—
344C2×#491—711no—
345C2×#487—711no—
346C2×#484—711no—
347C2×#485—711no—
348C2×#485—711no—
349C2×#483—711no—
350C2×#479—711no—
351C2×#479—711no—
352C2×#477—711no—
353C2×#475—711no—
354C2×#433D7111yescharacteristic
355C71C2×#324211yescharacteristic, complemented, Sylow
356#544—718no—
357#544—1424no—
358#541—718no—
359#541—1424no—
360C2×C4⋊Q8—711no—
361C2×C4⋊Q8—711no—
362C2×C4⋊Q8—711no—
363C2×C4⋊Q8—1421no—
364C2×#126—1421no—
365C2×#126—1421no—
366C2×#125—711no—
367C2×#125—711no—
368C2×#125—711no—
369C2×#125—1421no—
370C2×#125—1421no—
371C2×#125—1421no—
372C2×C22⋊Q8—711no—
373C2×C22⋊Q8—711no—
374C2×C22⋊Q8—1421no—
375C2×C22⋊Q8—1421no—
376C2×C4×Q8—711no—
377C2×C4×Q8—711no—
378C2×#117—711no—
379C2×#117C2×D7111yescharacteristic
380C22×C4⋊C4—711no—
381#501—718no—
382#499—718no—
383#491—718no—
384#487—718no—
385#485—718no—
386#485—718no—
387#484—718no—
388#483—718no—
389#479—718no—
390#479—718no—
391#477—718no—
392#475—718no—
393#433C2×D7118yes—
394C2×#107—711no—
395C2×#107—711no—
396C2×#107—711no—
397C2×#107—711no—
398C2×#106—711no—
399C2×#106—711no—
400C2×#106—711no—
401C2×#106—711no—
402C2×C4⋊C8C2×D7111yescharacteristic
403C2×C4⋊C8C2×D7111yescharacteristic
404C2×#103—711no—
405C2×#103—711no—
406C2×#103—711no—
407C2×#103—711no—
408C2×#103—711no—
409C2×#103—711no—
410C2×#103—711no—
411C2×#103—711no—
412C2×C22⋊C8C2×D7111yescharacteristic
413C2×C22⋊C8C2×D7111yescharacteristic
414C2×#97C2×D7111yescharacteristic
415C2×C4×C8C2×D7111yescharacteristic
416C22×Q8—711no—
417C22×Q8—711no—
418C22×Q8—1421no—
419C22×Q8—1421no—
420C23×C4—1421no—
421C23×C4C22×D7111yescharacteristic
422C22×C8C22×D7111yescharacteristic
423C22×C8C22×D7111yescharacteristic
424C22×C8C22×D7111yescharacteristic
425C22×C8C22×D7111yescharacteristic
426C4⋊Q8—714no—
427C4⋊Q8—714no—
428C4⋊Q8—714no—
429C4⋊Q8—1428no—
430C4⋊Q8—1422no—
431C4⋊Q8—1422no—
432C4⋊Q8—1422no—
433#126—1428no—
434#126—1428no—
435#125—714no—
436#125—714no—
437#125—714no—
438#125—1428no—
439#125—1428no—
440#125—1428no—
441#125—1422no—
442#125—1422no—
443#125—1422no—
444C22⋊Q8—714no—
445C22⋊Q8—714no—
446C22⋊Q8—1422no—
447C22⋊Q8—1422no—
448C22⋊Q8—1428no—
449C22⋊Q8—1428no—
450C4×Q8—714no—
451C4×Q8—714no—
452C4×Q8—1422no—
453C4×Q8—1422no—
454#117—714no—
455#117—1422no—
456#117D28414yes—
457#117C22×D7114yes—
458C2×C4⋊C4—711no—
459C2×C4⋊C4—711no—
460C2×C4⋊C4—714no—
461C2×C4⋊C4—711no—
462C2×C4⋊C4—711no—
463C2×C4⋊C4—711no—
464C2×C4⋊C4—711no—
465C2×C4⋊C4—1421no—
466C2×C4⋊C4—1422no—
467C2×C4⋊C4—1421no—
468C2×C4⋊C4—1421no—
469C2×C4⋊C4—1421no—
470C2×C4⋊C4—1421no—
471C2×C4⋊C4—1421no—
472C2×C4⋊C4—1421no—
473C2×C4⋊C4—1421no—
474C2×C4⋊C4—1421no—
475C2×C4⋊C4—1421no—
476C2×C4⋊C4—1421no—
477C2×C4⋊C4—1421no—
478C2×C4⋊C4—1421no—
479C2×C4⋊C4—1421no—
480C2×C4⋊C4—1421no—
481C2×C4⋊C4D28411yescharacteristic
482C2×C4⋊C4D28411yescharacteristic
483C2×C22⋊C4—1421no—
484C2×C22⋊C4—1421no—
485C2×C22⋊C4—1421no—
486C2×C22⋊C4D28411yescharacteristic
487C2×C22⋊C4D28411yescharacteristic
488C2×C42—1421no—
489C2×C42—1421no—
490C2×C42—1421no—
491C2×C42C22×D7111yescharacteristic
492C2×C42C22×D7111yescharacteristic
493#107—714no—
494#107—714no—
495#107—714no—
496#107—714no—
497#106—714no—
498#106—714no—
499#106—714no—
500#106—714no—
501C4⋊C8C22×D7114yes—
502C4⋊C8C22×D7114yes—
503#103—714no—
504#103—714no—
505#103—714no—
506#103—714no—
507#103—714no—
508#103—714no—
509#103—714no—
510#103—714no—
511C22⋊C8C22×D7114yes—
512C22⋊C8C22×D7114yes—
513#97C22×D7114yes—
514C4×C8C22×D7114yes—
515C24C2×D28411yescharacteristic
516C2×Q8—5682no—
517C2×Q8—5682no—
518C2×Q8—712no—
519C2×Q8—712no—
520C2×Q8—1422no—
521C2×Q8—1422no—
522C2×Q8—1422no—
523C2×Q8—1422no—
524C2×Q8—1421no—
525C2×Q8—1421no—
526C2×Q8—1424no—
527C2×Q8—1424no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—5682no—
531C22×C4—1421no—
532C22×C4—1421no—
533C22×C4—1421no—
534C22×C4—1421no—
535C22×C4—1421no—
536C22×C4—1421no—
537C22×C4—1421no—
538C22×C4—1421no—
539C22×C4—1424no—
540C22×C4C2×D28412yes—
541C22×C4C2×D28411yescharacteristic
542C22×C4C2×D28411yescharacteristic
543C22×C4C2×D28411yescharacteristic
544C22×C4C2×D28411yescharacteristic
545C22×C4C2×D28411yescharacteristic
546C22×C4C23×D7112yes—
547C22×C4C23×D7111yescharacteristic
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8C23×D7112yes—
553C2×C8C23×D7112yes—
554C2×C8C23×D7112yes—
555C2×C8C23×D7112yes—
556C4⋊C4—712no—
557C4⋊C4—712no—
558C4⋊C4—712no—
559C4⋊C4—712no—
560C4⋊C4—712no—
561C4⋊C4—712no—
562C4⋊C4—1424no—
563C4⋊C4—1424no—
564C4⋊C4—1424no—
565C4⋊C4—1424no—
566C4⋊C4—1424no—
567C4⋊C4—1424no—
568C4⋊C4—1424no—
569C4⋊C4—1424no—
570C4⋊C4—1424no—
571C4⋊C4—1424no—
572C4⋊C4—1424no—
573C4⋊C4—1421no—
574C4⋊C4—1421no—
575C4⋊C4—1421no—
576C4⋊C4—1421no—
577C4⋊C4—1421no—
578C4⋊C4—1421no—
579C4⋊C4—1424no—
580C4⋊C4—1424no—
581C4⋊C4—1424no—
582C4⋊C4—1424no—
583C4⋊C4C2×D28414yes—
584C4⋊C4C2×D28414yes—
585C22⋊C4—1424no—
586C22⋊C4—1424no—
587C22⋊C4—1424no—
588C22⋊C4C2×D28414yes—
589C22⋊C4C2×D28414yes—
590C42—1424no—
591C42—1424no—
592C42—1424no—
593C42C2×D28412yes—
594C42C2×D28412yes—
595C42C23×D7112yes—
596C42C23×D7112yes—
597C23—22no—
598C23—22no—
599C23—22no—
600C23C22×D28412yes—
601C23C22×D28411yescharacteristic
602Q8—2842no—
603Q8—2842no—
604Q8—5684no—
605Q8—5684no—
606Q8—1422no—
607Q8—1422no—
608Q8—1422no—
609Q8—1422no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—2842no—
619C2×C4—2842no—
620C2×C4—2842no—
621C2×C4—2842no—
622C2×C4—2842no—
623C2×C4—2842no—
624C2×C4—2842no—
625C2×C4—2842no—
626C2×C4—5684no—
627C2×C4—1422no—
628C2×C4—1422no—
629C2×C4—1422no—
630C2×C4—1422no—
631C2×C4—1422no—
632C2×C4—1422no—
633C2×C4—1422no—
634C2×C4—1422no—
635C2×C4C22×D28412yes—
636C2×C4C22×D28412yes—
637C2×C4C22×D28412yes—
638C2×C4C22×D28412yes—
639C2×C4C22×D28412yes—
640C2×C4C22×D28411yescharacteristic
641C2×C4#1455617512yes—
642C2×C4#1455617512yes—
643C2×C4C24×D7111yescharacteristic
644C8—22no—
645C8—22no—
646C8—22no—
647C8—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—44no—
652C22#1798657512yes—
653C22#1798681112yes—
654C22#1798681612yes—
655C22C23×D28411yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—22no—
660C4—22no—
661C4—2842no—
662C4—2842no—
663C4—2842no—
664C4—2842no—
665C4—2842no—
666C4—2842no—
667C4—2842no—
668C4—2842no—
669C4#1798657512yes—
670C4C2×#1455617511yescharacteristic
671C4C2×#1455617511yescharacteristic
672C2—42no—
673C2#2259961014yesdirect product factor
674C2C2×#1798657511yescharacteristic
675C2C2×#1798681111yescharacteristic
676C2C2×#1798681611yescharacteristic
subgroupG/H
centerC23C22×D284
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC2×#433×C71C2
socleC23×C71C22×D4
prime radicalC24×C71C2×D4
hypercenterC2×#433D71
hypocenterC71C2×#3242
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
3. #22599610C2direct (N × H)
4. C2×#17986408C2semidirect
5. C2×#17986401C2semidirect
6. C2×#17986368C2semidirect
7. C2×#17986350C2semidirect
12. C2×#17986307C2semidirect
13. C2×#17986307C2semidirect
14. C2×#17986295C2semidirect
15. C2×#17986285C2semidirect
41. #17986408C22semidirect
42. #17986401C22semidirect
43. #17986368C22semidirect
44. #17986350C22semidirect
49. #17986307C22semidirect
50. #17986307C22semidirect
51. #17986295C22semidirect
52. #17986285C22semidirect
335. C2×C71#3242semidirect
355. C71C2×#3242semidirect
673. C2#22599610direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179866272
C2×#179866112
#225996102
C2×#179864082
C2×#179864012
C2×#179863682
C2×#179863502
C2×#179863352
C2×#179863412
C2×#179863302
C2×#179863072
C2×#179862952
C2×#179862852
C2×#433×C712
C2×#324271