Finite Group Databasebeta

← C2×#22602848 #32904906

Subgroups — C2×#22602848 #32904906

Order 18176.

6554 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602848C2132yesmaximal, direct product factor
2C2×#17986753C214yesmaximal, complemented
3C2×#17986734C212yesmaximal, complemented
4C2×#17986725C212yesmaximal, complemented
5C2×#17986723C212yesmaximal, complemented
6C2×#17986705C212yesmaximal, complemented
7C2×#17986687C214yesmaximal, complemented
8C2×#17986622C212yesmaximal, complemented
9C2×#17986615C214yesmaximal, complemented
10C2×#17986604C211yesmaximal, characteristic
11C2×#17986590C214yesmaximal, complemented
12C2×#17986552C211yesmaximal, characteristic, complemented
13C2×#17986535C212yesmaximal, complemented
14C2×#541×C71C211yesmaximal, characteristic, complemented
15#17986753C22164yescomplemented
16#17986734C22132yescomplemented
17#17986725C22132yescomplemented
18#17986723C22132yescomplemented
19#17986705C22132yescomplemented
20#17986687C22164yescomplemented
21#17986622C22132yescomplemented
22#17986615C22164yescomplemented
23#17986604C22116yes—
24#17986590C22164yescomplemented
25#17986552C22116yescomplemented
26C2×#14556127C2212yes—
27C2×#14556127C2212yes—
28C2×#14556127C2214yes—
29C2×#14556125C2211yescharacteristic
30#17986535C22132yescomplemented
31C2×#14556123C2214yes—
32C2×#14556123C2214yes—
33C2×#14556123C2214yes—
34C2×#14556123C2214yes—
35C2×#14556120C2211yescharacteristic
36C2×#14556120C2214yes—
37C2×#14556119C2212yes—
38C2×#14556119C2214yes—
39C2×#14556119C2212yes—
40C2×#14556117C2212yes—
41C2×#14556117C2212yes—
42C2×#14556116C2214yes—
43C2×#14556114C2214yes—
44C2×#14556113C2214yes—
45C2×#14556113C2214yes—
46C2×#14556113C2214yes—
47C2×#14556112C2214yes—
48C2×#14556110C2214yes—
49C2×#14556108C2214yes—
50C2×#14556108C2214yes—
51C2×#14556108C2214yes—
52C2×#14556106C2214yes—
53C2×#14556106C2214yes—
54C2×#14556105C2212yes—
55C2×#14556105C2212yes—
56C2×#14556102C2212yes—
57C2×#14556101C2214yes—
58C2×Q8×Dic71C2212yes—
59C2×Q8×Dic71C2212yes—
60C2×C4×Dic142C2214yes—
61C2×C4×Dic142C2212yes—
62C2×C4×Dic142C2212yes—
63C2×C4×D284C2214yes—
64C2×C4×D284C2212yes—
65C2×#14556090C2212yes—
66C2×#14556090C2212yes—
67C2×(C22⋊D71)⋊C4C2214yes—
68C2×#14556087C2211yescharacteristic
69C2×#14556086C2214yes—
70C2×#14556086C2214yes—
71C2×C4⋊C4×D71C2214yes—
72C22×C4×Dic71C2211yescharacteristic
73#541×C71C22116yescomplemented
74C2×C4⋊Q8×C71C2211yescharacteristic
75C2×#126×C71C2214yes—
76C2×#125×C71C2214yes—
77C2×#125×C71C2211yescharacteristic
78C2×C22⋊Q8×C71C2212yes—
79C2×C4×Q8×C71C2212yes—
80C2×#117×C71C2211yescharacteristic
81C22×Dic142C2312yes—
82C22×Dic142C2312yes—
83C22×Dic142C2314yes—
84C22×D284C2312yes—
85C22×D284C2314yes—
86C22×C22⋊D71C2314yes—
87C23×Dic71C2312yes—
88C22×C4×D71C2314yes—
89C22×C4×D71C2314yes—
90C22×C4×D71C2314yes—
91#14556127C23132yes—
92#14556127C23116yes—
93#14556127C23116yes—
94#14556125C2318yes—
95#14556123C23132yes—
96#14556123C23132yes—
97#14556123C23132yes—
98#14556123C23132yes—
99#14556120C23132yes—
100#14556120C2318yes—
101#14556119C23132yes—
102#14556119C23116yes—
103#14556119C23116yes—
104#14556117C23116yes—
105#14556117C23116yes—
106#14556116C23132yes—
107#14556114C23132yes—
108#14556113C23132yes—
109#14556113C23132yes—
110#14556113C23132yes—
111#14556112C23132yes—
112#14556110C23132yes—
113#14556108C23132yes—
114#14556108C23132yes—
115#14556108C23132yes—
116#14556106C23132yes—
117#14556106C23132yes—
118#14556105C23116yes—
119#14556105C23116yes—
120#14556102C23116yes—
121#14556101C23132yes—
122Q8×Dic71C23116yes—
123Q8×Dic71C23116yes—
124C4×Dic142C23132yes—
125C4×Dic142C23116yes—
126C4×Dic142C23116yes—
127C4×D284C23132yes—
128C4×D284C23116yes—
129#14556090C23116yes—
130#14556090C23116yes—
131(C22⋊D71)⋊C4C23132yes—
132#14556087C2318yes—
133#14556086C23132yes—
134#14556086C23132yes—
135C2×C4⋊Dic71C2314yes—
136C2×C4⋊Dic71C2312yes—
137C2×C4⋊Dic71C2312yes—
138C2×C4⋊Dic71C2312yes—
139C2×C4⋊Dic71C2312yes—
140C2×C4⋊Dic71C2314yes—
141C2×C4⋊Dic71C2314yes—
142C2×Dic71⋊C4C2312yes—
143C2×Dic71⋊C4C2314yes—
144C2×Dic71⋊C4C2314yes—
145C2×Dic71⋊C4C2312yes—
146C2×Dic71⋊C4C2314yes—
147C2×Dic71⋊C4C2312yes—
148C2×Dic71⋊C4C2312yes—
149C4⋊C4×D71C23132yes—
150C2×C22⋊Dic71C2311yescharacteristic
151C2×C22⋊Dic71C2311yescharacteristic
152C2×(C2×D71)⋊C4C2314yes—
153C2×(C2×D71)⋊C4C2314yes—
154C2×(C2×D71)⋊C4C2314yes—
155C2×(C2×D71)⋊C4C2314yes—
156C2×(C2×D71)⋊C4C2314yes—
157C2×(C2×D71)⋊C4C2314yes—
158C2×(C2×D71)⋊C4C2314yes—
159C2×(C2×D71)⋊C4C2314yes—
160C2×C4×Dic71C2311yescharacteristic
161C2×C4×Dic71C2312yes—
162C2×C4×Dic71C2311yescharacteristic
163C2×C4×Dic71C2318yes—
164C2×C4×Dic71C2314yes—
165C2×C4×Dic71C2314yes—
166C2×C4×Dic71C2312yes—
167C22×Q8×C71C2312yes—
168C23×C4×C71C2311yescharacteristic
169C4⋊Q8×C71C2318yes—
170#126×C71C23132yes—
171#125×C71C23132yes—
172#125×C71C2318yes—
173C22⋊Q8×C71C23116yes—
174C4×Q8×C71C23116yes—
175#117×C71C2318yes—
176C2×C4⋊C4×C71C2312yes—
177C2×C4⋊C4×C71C2312yes—
178C2×C4⋊C4×C71C2314yes—
179C2×C4⋊C4×C71C2314yes—
180C2×C4⋊C4×C71C2314yes—
181C2×C4⋊C4×C71C2314yes—
182C2×C22⋊C4×C71C2312yes—
183C2×C22⋊C4×C71C2314yes—
184C2×C42×C71C2311yescharacteristic
185C2×C42×C71C2311yescharacteristic
186C2×C42×C71C2314yes—
187C23×D71C2414yes—
188C2×Dic142—44no—
189C2×Dic142—48no—
190C2×Dic142—44no—
191C2×Dic142C2418yes—
192C2×Dic142C2418yes—
193C2×Dic142C24116yes—
194C2×D284—28no—
195C2×D284—48no—
196C2×D284C2418yes—
197C2×D284C24116yes—
198C2×C22⋊D71—48no—
199C2×C22⋊D71C24116yes—
200C22×Dic71—44no—
201C22×Dic71C2412yes—
202C22×Dic71C2412yes—
203C22×Dic71C2414yes—
204C22×Dic71C2412yes—
205C22×Dic71C2412yes—
206C22×Dic71C2418yes—
207C2×C4×D71—48no—
208C2×C4×D71—48no—
209C2×C4×D71—48no—
210C2×C4×D71C24116yes—
211C2×C4×D71C24116yes—
212C2×C4×D71C24116yes—
213C4⋊Dic71C24116yes—
214C4⋊Dic71C2418yes—
215C4⋊Dic71C2418yes—
216C4⋊Dic71C2418yes—
217C4⋊Dic71C2418yes—
218C4⋊Dic71C24116yes—
219C4⋊Dic71C24116yes—
220Dic71⋊C4C2418yes—
221Dic71⋊C4C24116yes—
222Dic71⋊C4C24116yes—
223Dic71⋊C4C2418yes—
224Dic71⋊C4C24116yes—
225Dic71⋊C4C2418yes—
226Dic71⋊C4C2418yes—
227C22⋊Dic71C2414yes—
228C22⋊Dic71C2414yes—
229(C2×D71)⋊C4C24116yes—
230(C2×D71)⋊C4C24116yes—
231(C2×D71)⋊C4C24116yes—
232(C2×D71)⋊C4C24116yes—
233(C2×D71)⋊C4C24116yes—
234(C2×D71)⋊C4C24116yes—
235(C2×D71)⋊C4C24116yes—
236(C2×D71)⋊C4C24116yes—
237C4×Dic71C2414yes—
238C4×Dic71C2418yes—
239C4×Dic71C2414yes—
240C4×Dic71C24116yes—
241C4×Dic71C24116yes—
242C4×Dic71C2418yes—
243C24×C71C2411yescharacteristic
244C2×Q8×C71—28no—
245C2×Q8×C71C2418yes—
246C22×C4×C71—24no—
247C22×C4×C71C2414yes—
248C22×C4×C71C2412yes—
249C22×C4×C71C2412yes—
250C22×C4×C71C2414yes—
251C22×C4×C71C2411yescharacteristic
252C22×C4×C71C2414yes—
253C22×C4×C71C2411yescharacteristic
254C4⋊C4×C71C2418yes—
255C4⋊C4×C71C2418yes—
256C4⋊C4×C71C24116yes—
257C4⋊C4×C71C24116yes—
258C4⋊C4×C71C24116yes—
259C4⋊C4×C71C24116yes—
260C22⋊C4×C71C2418yes—
261C22⋊C4×C71C24116yes—
262C42×C71C2414yes—
263C42×C71C2414yes—
264C42×C71C24116yes—
265C23×C71—22no—
266C23×C71—24no—
267C23×C71C2512yes—
268C23×C71C2511yescharacteristic
269C22×D71—28no—
270C22×D71—28no—
271C22×D71—28no—
272C22×D71C2518yes—
273Q8×C71—216no—
274C2×C4×C71—22no—
275C2×C4×C71—28no—
276C2×C4×C71—28no—
277C2×C4×C71—24no—
278C2×C4×C71—24no—
279C2×C4×C71—28no—
280C2×C4×C712−1+414yes—
281C2×C4×C71C2514yes—
282C2×C4×C71C2514yes—
283C2×C4×C71C2518yes—
284C2×C4×C71C2518yes—
285C2×C4×C71C2512yes—
286C2×C4×C71C2512yes—
287C22⋊D71—416no—
288C2×Dic71—24no—
289C2×Dic71—24no—
290C2×Dic71—28no—
291C2×Dic71—24no—
292C2×Dic71—24no—
293C2×Dic71—48no—
294C2×Dic71C2514yes—
295C2×Dic71C2514yes—
296C2×Dic71C2514yes—
297C2×Dic71C2518yes—
298C2×Dic71C2514yes—
299D284—216no—
300D284—416no—
301C4×D71—416no—
302C4×D71—416no—
303C4×D71—416no—
304Dic142—48no—
305Dic142—416no—
306Dic142—48no—
307C22×C71—22no—
308C22×C71—24no—
309C22×C71—44no—
310C22×C71C2×2−1+412yes—
311C22×C71#58514yes—
312C22×C71C2611yescharacteristic
313C2×D71—28no—
314C2×D71—28no—
315C2×D71—28no—
316C2×D71—416no—
317C4×C71—22no—
318C4×C71—28no—
319C4×C71—28no—
320C4×C71—24no—
321C4×C71—24no—
322C4×C71C2×2−1+414yes—
323Dic71—24no—
324Dic71—24no—
325Dic71—24no—
326Dic71—28no—
327Dic71—24no—
328C2×#3557—711nomaximal, Sylow
329C2×C71—42no—
330C2×C71#355714yescomplemented
331C2×C71C22×2−1+411yescharacteristic
332C2×C71C2×#58512yes—
333D71—48no—
334#3557—7132no—
335C2×#563—714no—
336C2×#559—712no—
337C2×#557—712no—
338C2×#556—712no—
339C2×#554—712no—
340C2×#552—714no—
341C2×#542—714no—
342C2×#542—712no—
343C2×#541D7111yescharacteristic, complemented
344C2×#540—711no—
345C2×#539—714no—
346C2×#533—711no—
347C2×#529—712no—
348C71C2×#355711yescharacteristic, complemented, Sylow
349#563—7164no—
350#559—7132no—
351#557—7132no—
352#556—7132no—
353#554—7132no—
354#552—7164no—
355#542—7164no—
356#542—7132no—
357#541C2×D71116yescomplemented
358#540—7116no—
359#539—7164no—
360#533—7116no—
361C2×C4⋊Q8—712no—
362C2×C4⋊Q8—712no—
363C2×C4⋊Q8—714no—
364C2×C4⋊Q8C2×D7111yescharacteristic
365C2×#127—711no—
366#529—7132no—
367C2×#126—714no—
368C2×#126—714no—
369C2×#126—714no—
370C2×#126—714no—
371C2×#126C2×D7114yes—
372C2×#125—712no—
373C2×#125—712no—
374C2×#125—714no—
375C2×#125—714no—
376C2×#125—711no—
377C2×#125C2×D7114yes—
378C2×#125C2×D7111yescharacteristic
379C2×#124—712no—
380C2×#124—712no—
381C2×#124—714no—
382C2×#124—714no—
383C2×#123—714no—
384C2×#123—714no—
385C2×#123—714no—
386C2×#123—714no—
387C2×#123—714no—
388C2×C22⋊Q8—714no—
389C2×C22⋊Q8—714no—
390C2×C22⋊Q8—714no—
391C2×C22⋊Q8—714no—
392C2×C22⋊Q8—714no—
393C2×C22⋊Q8—712no—
394C2×C22⋊Q8—712no—
395C2×C22⋊Q8C2×D7112yes—
396C2×#121—712no—
397C2×#121—714no—
398C2×C4×Q8—712no—
399C2×C4×Q8—712no—
400C2×C4×Q8—712no—
401C2×C4×Q8—712no—
402C2×C4×Q8—714no—
403C2×C4×Q8C2×D7112yes—
404C2×C4×D4—712no—
405C2×C4×D4—712no—
406C2×C4×D4—714no—
407C2×C4×D4—714no—
408C2×C4×D4—712no—
409C2×#117—711no—
410C2×#117—714no—
411C2×#117—714no—
412C2×#117C2×D7111yescharacteristic
413C22×C4⋊C4—714no—
414C22×C42—711no—
415C22×Q8—712no—
416C22×Q8—714no—
417C22×Q8—712no—
418C22×Q8C22×D7112yes—
419C22×D4—714no—
420C22×D4—714no—
421C22×D4—712no—
422C23×C4—712no—
423C23×C4—714no—
424C23×C4—714no—
425C23×C4—714no—
426C23×C4C22×D7111yescharacteristic
427C4⋊Q8—7116no—
428C4⋊Q8—7116no—
429C4⋊Q8—7132no—
430C4⋊Q8C22×D7118yes—
431#127—718no—
432#126—7132no—
433#126—7132no—
434#126—7132no—
435#126—7132no—
436#126C22×D71132yes—
437#125—7116no—
438#125—7116no—
439#125—7132no—
440#125—7132no—
441#125—718no—
442#125C22×D71132yes—
443#125C22×D7118yes—
444#124—7116no—
445#124—7116no—
446#124—7132no—
447#124—7132no—
448#123—7132no—
449#123—7132no—
450#123—7132no—
451#123—7132no—
452#123—7132no—
453C22⋊Q8—7132no—
454C22⋊Q8—7132no—
455C22⋊Q8—7132no—
456C22⋊Q8—7132no—
457C22⋊Q8—7132no—
458C22⋊Q8—7116no—
459C22⋊Q8—7116no—
460C22⋊Q8C22×D71116yes—
461#121—7116no—
462#121—7132no—
463C4×Q8—7116no—
464C4×Q8—7116no—
465C4×Q8—7116no—
466C4×Q8—7116no—
467C4×Q8—7132no—
468C4×Q8C22×D71116yes—
469C4×D4—7116no—
470C4×D4—7116no—
471C4×D4—7132no—
472C4×D4—7132no—
473C4×D4—7116no—
474#117—718no—
475#117—7132no—
476#117—7132no—
477#117C22×D7118yes—
478C2×C4⋊C4—712no—
479C2×C4⋊C4—714no—
480C2×C4⋊C4—714no—
481C2×C4⋊C4—712no—
482C2×C4⋊C4—712no—
483C2×C4⋊C4—712no—
484C2×C4⋊C4—712no—
485C2×C4⋊C4—714no—
486C2×C4⋊C4—712no—
487C2×C4⋊C4—714no—
488C2×C4⋊C4—712no—
489C2×C4⋊C4—714no—
490C2×C4⋊C4—712no—
491C2×C4⋊C4—714no—
492C2×C4⋊C4—7132no—
493C2×C4⋊C4C22×D7114yes—
494C2×C4⋊C4C22×D7114yes—
495C2×C4⋊C4C22×D7114yes—
496C2×C4⋊C4C22×D7112yes—
497C2×C4⋊C4C22×D7112yes—
498C2×C4⋊C4C22×D7114yes—
499C2×C22⋊C4—711no—
500C2×C22⋊C4—711no—
501C2×C22⋊C4—714no—
502C2×C22⋊C4—714no—
503C2×C22⋊C4—714no—
504C2×C22⋊C4—714no—
505C2×C22⋊C4—714no—
506C2×C22⋊C4—714no—
507C2×C22⋊C4—714no—
508C2×C22⋊C4—714no—
509C2×C22⋊C4C22×D7112yes—
510C2×C22⋊C4C22×D7114yes—
511C2×C42—711no—
512C2×C42—714no—
513C2×C42—712no—
514C2×C42—714no—
515C2×C42—712no—
516C2×C42—711no—
517C2×C42—718no—
518C2×C42C22×D7111yescharacteristic
519C2×C42C22×D7111yescharacteristic
520C2×C42C22×D7114yes—
521C24—714no—
522C24C23×D7111yescharacteristic
523C2×Q8—28no—
524C2×Q8—2844no—
525C2×Q8—2848no—
526C2×Q8—2844no—
527C2×Q8—718no—
528C2×Q8—7116no—
529C2×Q8—718no—
530C2×Q8C23×D7118yes—
531C2×D4—2848no—
532C2×D4—2848no—
533C2×D4—7116no—
534C2×D4—7116no—
535C2×D4—718no—
536C2×D4—1428no—
537C22×C4—24no—
538C22×C4—2848no—
539C22×C4—2848no—
540C22×C4—2848no—
541C22×C4—2844no—
542C22×C4—718no—
543C22×C4—7116no—
544C22×C4—7116no—
545C22×C4—7116no—
546C22×C4—712no—
547C22×C4—712no—
548C22×C4—712no—
549C22×C4—714no—
550C22×C4—712no—
551C22×C4C23×D7114yes—
552C22×C4C23×D7114yes—
553C22×C4C23×D7111yescharacteristic
554C22×C4C23×D7112yes—
555C22×C4C23×D7112yes—
556C22×C4C23×D7114yes—
557C22×C4C23×D7111yescharacteristic
558C4⋊C4—718no—
559C4⋊C4—7116no—
560C4⋊C4—7116no—
561C4⋊C4—718no—
562C4⋊C4—7116no—
563C4⋊C4—718no—
564C4⋊C4—718no—
565C4⋊C4—7116no—
566C4⋊C4—718no—
567C4⋊C4—718no—
568C4⋊C4—718no—
569C4⋊C4—718no—
570C4⋊C4—7116no—
571C4⋊C4—7116no—
572C4⋊C4C23×D71116yes—
573C4⋊C4C23×D71116yes—
574C4⋊C4C23×D71116yes—
575C4⋊C4C23×D7118yes—
576C4⋊C4C23×D7118yes—
577C4⋊C4C23×D71116yes—
578C22⋊C4—714no—
579C22⋊C4—714no—
580C22⋊C4—7116no—
581C22⋊C4—7116no—
582C22⋊C4—7116no—
583C22⋊C4—7116no—
584C22⋊C4—7116no—
585C22⋊C4—7116no—
586C22⋊C4—7116no—
587C22⋊C4—7116no—
588C22⋊C4C23×D7118yes—
589C22⋊C4C23×D71116yes—
590C42—714no—
591C42—718no—
592C42—714no—
593C42—7116no—
594C42—718no—
595C42—7116no—
596C42C23×D7114yes—
597C42C23×D7114yes—
598C42C23×D71116yes—
599C23—22no—
600C23—24no—
601C23—718no—
602C23—1428no—
603C23—1428no—
604C23—1428no—
605C23C24×D7112yes—
606C23C24×D7111yescharacteristic
607Q8—216no—
608Q8—2848no—
609Q8—28416no—
610Q8—2848no—
611D4—28416no—
612D4—28416no—
613D4—14216no—
614C2×C4—22no—
615C2×C4—28no—
616C2×C4—28no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—28no—
620C2×C4—28416no—
621C2×C4—28416no—
622C2×C4—28416no—
623C2×C4—2848no—
624C2×C4—714no—
625C2×C4—714no—
626C2×C4—714no—
627C2×C4—718no—
628C2×C4—714no—
629C2×C4—1424no—
630C2×C4—1424no—
631C2×C4—1428no—
632C2×C4—1424no—
633C2×C4—1424no—
634C2×C4#1455617514yes—
635C2×C4C24×D7118yes—
636C2×C4C24×D7112yes—
637C2×C4C24×D7114yes—
638C2×C4C24×D7114yes—
639C2×C4C24×D7118yes—
640C2×C4C24×D7112yes—
641C22—22no—
642C22—24no—
643C22—44no—
644C22—28416no—
645C22—1428no—
646C22—1428no—
647C22—1428no—
648C22C2×#1455617512yes—
649C22#1798683614yes—
650C22C25×D7111yescharacteristic
651C4—22no—
652C4—28no—
653C4—28no—
654C4—24no—
655C4—24no—
656C4—1424no—
657C4—1424no—
658C4—1428no—
659C4—1424no—
660C4—1424no—
661C4C2×#1455617514yes—
662C2—42no—
663C2—2848no—
664C2#2260284814yesdirect product factor
665C2C22×#1455617511yescharacteristic
666C2C2×#1798683612yes—
subgroupG/H
centerC23C24×D71
commutator, cosocleC22×C71C26
FrattiniC22C25×D71
FittingC2×#541×C71C2
socleC23×C71C25
prime radicalC2×#17986604C2
hypercenterC2×#541D71
hypocenterC71C2×#3557
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
1. #22602848C2direct (N × H)
2. C2×#17986753C2semidirect
3. C2×#17986734C2semidirect
4. C2×#17986725C2semidirect
5. C2×#17986723C2semidirect
6. C2×#17986705C2semidirect
7. C2×#17986687C2semidirect
8. C2×#17986622C2semidirect
9. C2×#17986615C2semidirect
11. C2×#17986590C2semidirect
12. C2×#17986552C2semidirect
13. C2×#17986535C2semidirect
14. C2×#541×C71C2semidirect
15. #17986753C22semidirect
16. #17986734C22semidirect
17. #17986725C22semidirect
18. #17986723C22semidirect
19. #17986705C22semidirect
20. #17986687C22semidirect
21. #17986622C22semidirect
22. #17986615C22semidirect
24. #17986590C22semidirect
25. #17986552C22semidirect
30. #17986535C22semidirect
73. #541×C71C22semidirect
330. C2×C71#3557semidirect
343. C2×#541D71semidirect
348. C71C2×#3557semidirect
357. #541C2×D71semidirect
664. C2#22602848direct (N × H)

Maximal subgroups

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

subgroupindex
#226028482
C2×#179867532
C2×#179867342
C2×#179867252
C2×#179867232
C2×#179867052
C2×#179866872
C2×#179866222
C2×#179866152
C2×#179866042
C2×#179865902
C2×#179865522
C2×#179865352
C2×#541×C712
C2×#355771