Finite Group Databasebeta

← C2×#22599498 #32869519

Subgroups — C2×#22599498 #32869519

Order 18176.

1778 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986555C211yesmaximal, characteristic
2C2×#17986553C211yesmaximal, characteristic
3#22599498C2116yesmaximal, direct product factor
4C2×#17986403C211yesmaximal, characteristic, complemented
5C2×#17986396C211yesmaximal, characteristic, complemented
6C2×#17986348C211yesmaximal, characteristic, complemented
7C2×#17986348C211yesmaximal, characteristic, complemented
8C2×#17986343C211yesmaximal, characteristic
9C2×#17986342C211yesmaximal, characteristic
10C2×#17986339C211yesmaximal, characteristic
11C2×#17986338C211yesmaximal, characteristic
12C2×#17986307C211yesmaximal, characteristic, complemented
13C2×#17986306C211yesmaximal, characteristic, complemented
14C2×#17986303C211yesmaximal, characteristic, complemented
15C2×#17986051C211yesmaximal, characteristic
16C2×#479×C71C211yesmaximal, characteristic, complemented
17#17986555—24no—
18#17986555C2218yes—
19#17986553—24no—
20#17986553C2218yes—
21C2×#14556127C2211yescharacteristic
22C2×#14556127C2211yescharacteristic
23C2×#14556127C2211yescharacteristic
24C2×#14556126C2211yescharacteristic
25C2×#14556120C2211yescharacteristic
26C2×#14556118—21no—
27C2×#14556108C2211yescharacteristic
28C2×#14556106—21no—
29C2×#14556106—21no—
30C2×#14556106—21no—
31C2×#14556104C2211yescharacteristic
32C2×C4×Dic142—21no—
33C2×C4×Dic142C2211yescharacteristic
34C2×#14556093—21no—
35C2×#14556093—21no—
36C2×#14556086C2211yescharacteristic
37C2×#14556086C2211yescharacteristic
38C2×#14556085—21no—
39C2×C42×D71C2211yescharacteristic
40#17986403C2218yescomplemented
41#17986396C2218yescomplemented
42#17986348C2218yescomplemented
43#17986348C2218yescomplemented
44#17986343C2218yes—
45#17986342C2218yes—
46#17986339C2218yes—
47#17986338C2218yes—
48#17986307C2218yescomplemented
49#17986306C2218yescomplemented
50#17986303C2218yescomplemented
51#17986051C2218yes—
52C2×#14556062C2211yescharacteristic
53C2×#14556061C2211yescharacteristic
54C2×#14556061C2211yescharacteristic
55C2×#14556060C2211yescharacteristic
56C2×#14556059C2211yescharacteristic
57C2×#14556059C2211yescharacteristic
58C2×C4⋊(C71⋊C8)C2211yescharacteristic
59C2×#14556053C2211yescharacteristic
60C2×#14556053C2211yescharacteristic
61C2×#14556052C2211yescharacteristic
62C2×#14556052C2211yescharacteristic
63C2×#14556051C2211yescharacteristic
64C2×#14556051C2211yescharacteristic
65C2×(C2×D71)⋊C8C2211yescharacteristic
66C2×(C2×D71)⋊C8C2211yescharacteristic
67C2×C8×Dic71C2211yescharacteristic
68C2×C8×Dic71C2211yescharacteristic
69C2×#125×C71C2211yescharacteristic
70C2×C4×Q8×C71C2211yescharacteristic
71#479×C71C2218yescomplemented
72C2×#107×C71C2211yescharacteristic
73C2×#106×C71C2211yescharacteristic
74C2×C4⋊C8×C71C2211yescharacteristic
75C2×#103×C71C2211yescharacteristic
76C2×#103×C71C2211yescharacteristic
77C22×Dic142—21no—
78C22×Dic142—21no—
79C22×Dic142—21no—
80C22×Dic142C2311yescharacteristic
81C22×C4×D71D411yescharacteristic
82C22×C4×D71D411yescharacteristic
83C22×C4×D71C2311yescharacteristic
84C22×C71⋊C8C2311yescharacteristic
85C22×C71⋊C8C2311yescharacteristic
86#14556127—22no—
87#14556127—22no—
88#14556127—22no—
89#14556127C2314yes—
90#14556127C2314yes—
91#14556127C2314yes—
92#14556126—22no—
93#14556126C2314yes—
94#14556120—22no—
95#14556120C2314yes—
96#14556118—28no—
97#14556108—22no—
98#14556108C2314yes—
99#14556106—28no—
100#14556106—28no—
101#14556106—28no—
102#14556104—22no—
103#14556104C2314yes—
104C4×Dic142—28no—
105C4×Dic142—22no—
106C4×Dic142C2314yes—
107#14556093—28no—
108#14556093—28no—
109#14556086—22no—
110#14556086—22no—
111#14556086C2314yes—
112#14556086C2314yes—
113#14556085—28no—
114C2×C4⋊Dic71—21no—
115C2×C4⋊Dic71C2311yescharacteristic
116C2×C4⋊Dic71C2311yescharacteristic
117C2×C4⋊Dic71C2311yescharacteristic
118C2×Dic71⋊C4—21no—
119C2×Dic71⋊C4—21no—
120C2×Dic71⋊C4—21no—
121C2×Dic71⋊C4—21no—
122C2×Dic71⋊C4—21no—
123C2×Dic71⋊C4—21no—
124C2×Dic71⋊C4—21no—
125C2×Dic71⋊C4—21no—
126C2×Dic71⋊C4—21no—
127C2×(C2×D71)⋊C4—21no—
128C2×(C2×D71)⋊C4—21no—
129C2×(C2×D71)⋊C4—21no—
130C2×(C2×D71)⋊C4—21no—
131C2×C4×Dic71—21no—
132C2×C4×Dic71—21no—
133C2×C4×Dic71—21no—
134C2×C4×Dic71D411yescharacteristic
135C2×C4×Dic71D411yescharacteristic
136C2×C4×Dic71C2311yescharacteristic
137C42×D71D414yes—
138C42×D71C2314yes—
139#14556062C2314yes—
140#14556061C2314yes—
141#14556061C2314yes—
142#14556060C2314yes—
143#14556059C2314yes—
144#14556059C2314yes—
145C4⋊(C71⋊C8)C2314yes—
146#14556053C2314yes—
147#14556053C2314yes—
148#14556052C2314yes—
149#14556052C2314yes—
150#14556051C2314yes—
151#14556051C2314yes—
152(C2×D71)⋊C8C2314yes—
153(C2×D71)⋊C8C2314yes—
154C8×Dic71C2314yes—
155C8×Dic71C2314yes—
156C22×Q8×C71C2311yescharacteristic
157C22×C8×C71C2311yescharacteristic
158C22×C8×C71C2311yescharacteristic
159#125×C71—22no—
160#125×C71C2314yes—
161C4×Q8×C71—22no—
162C4×Q8×C71C2314yes—
163C2×C4⋊C4×C71—21no—
164C2×C4⋊C4×C71—21no—
165C2×C4⋊C4×C71—21no—
166C2×C4⋊C4×C71C2311yescharacteristic
167C2×C4⋊C4×C71C2311yescharacteristic
168C2×C4⋊C4×C71C2311yescharacteristic
169C2×C42×C71—21no—
170C2×C42×C71C2311yescharacteristic
171#107×C71C2314yes—
172#106×C71C2314yes—
173C4⋊C8×C71C2314yes—
174#103×C71C2314yes—
175#103×C71C2314yes—
176C23×D71C2×D411yescharacteristic
177C2×Dic142—22no—
178C2×Dic142—22no—
179C2×Dic142—21no—
180C2×Dic142—24no—
181C2×Dic142—24no—
182C2×Dic142—24no—
183C2×Dic142—44no—
184C2×Dic142—44no—
185C2×Dic142—44no—
186C2×Dic142C2412yes—
187C22×Dic71—21no—
188C22×Dic71—21no—
189C22×Dic71—21no—
190C22×Dic71—21no—
191C22×Dic71C2×D411yescharacteristic
192C22×Dic71C2×D411yescharacteristic
193C22×Dic71C2×D411yescharacteristic
194C2×C4×D71—22no—
195C2×C4×D71—22no—
196C2×C4×D71—24no—
197C2×C4×D71—24no—
198C2×C4×D71C2×D414yes—
199C2×C4×D71C2×D414yes—
200C2×C4×D71C2×D412yes—
201C2×C4×D71C2412yes—
202C2×C71⋊C8—22no—
203C2×C71⋊C8—22no—
204C2×C71⋊C8C2412yes—
205C2×C71⋊C8C2412yes—
206C4⋊Dic71—21no—
207C4⋊Dic71—21no—
208C4⋊Dic71—21no—
209C4⋊Dic71—24no—
210C4⋊Dic71C2412yes—
211C4⋊Dic71C2412yes—
212C4⋊Dic71C2412yes—
213Dic71⋊C4—24no—
214Dic71⋊C4—24no—
215Dic71⋊C4—24no—
216Dic71⋊C4—24no—
217Dic71⋊C4—24no—
218Dic71⋊C4—24no—
219Dic71⋊C4—24no—
220Dic71⋊C4—24no—
221Dic71⋊C4—24no—
222(C2×D71)⋊C4—24no—
223(C2×D71)⋊C4—24no—
224(C2×D71)⋊C4—24no—
225(C2×D71)⋊C4—24no—
226C4×Dic71—24no—
227C4×Dic71—24no—
228C4×Dic71—24no—
229C4×Dic71C2×D412yes—
230C4×Dic71C2×D414yes—
231C4×Dic71C2×D414yes—
232C4×Dic71C2412yes—
233C2×Q8×C71—21no—
234C2×Q8×C71—22no—
235C2×Q8×C71—22no—
236C2×Q8×C71C2412yes—
237C22×C4×C71—21no—
238C22×C4×C71—21no—
239C22×C4×C71—21no—
240C22×C4×C71—21no—
241C22×C4×C71C2×D411yescharacteristic
242C22×C4×C71C2×D411yescharacteristic
243C22×C4×C71C2411yescharacteristic
244C2×C8×C71—22no—
245C2×C8×C71—22no—
246C2×C8×C71C2412yes—
247C2×C8×C71C2412yes—
248C4⋊C4×C71—24no—
249C4⋊C4×C71—24no—
250C4⋊C4×C71—24no—
251C4⋊C4×C71—21no—
252C4⋊C4×C71—21no—
253C4⋊C4×C71—21no—
254C4⋊C4×C71C2412yes—
255C4⋊C4×C71C2412yes—
256C4⋊C4×C71C2412yes—
257C42×C71—24no—
258C42×C71C2×D412yes—
259C42×C71C2412yes—
260C23×C71C22×D411yescharacteristic
261C22×D71—22no—
262C22×D71—22no—
263C22×D71—22no—
264C22×D71C22×D412yes—
265Q8×C71—22no—
266Q8×C71—22no—
267Q8×C71—42no—
268C2×C4×C71—22no—
269C2×C4×C71—22no—
270C2×C4×C71—22no—
271C2×C4×C71—22no—
272C2×C4×C71—22no—
273C2×C4×C71—22no—
274C2×C4×C71—42no—
275C2×C4×C71—42no—
276C2×C4×C71—42no—
277C2×C4×C71—42no—
278C2×C4×C71C22×D412yes—
279C2×C4×C71C22×D412yes—
280C2×C4×C71C22×D411yescharacteristic
281C2×C4×C712−1+412yes—
282C2×C4×C712−1+412yes—
283C2×C4×C71C2511yescharacteristic
284C2×Dic71—22no—
285C2×Dic71—22no—
286C2×Dic71—22no—
287C2×Dic71—22no—
288C2×Dic71—22no—
289C2×Dic71—42no—
290C2×Dic71—42no—
291C2×Dic71—42no—
292C2×Dic71—42no—
293C2×Dic71#13514yes—
294C2×Dic71#13714yes—
295C2×Dic71C22×D412yes—
296C2×Dic71C22×D412yes—
297C2×Dic71C22×D412yes—
298C4×D71—24no—
299C4×D71—22no—
300C4×D71—22no—
301C4×D71—28no—
302C4×D71—28no—
303Dic142—22no—
304Dic142—22no—
305Dic142—42no—
306Dic142—48no—
307Dic142—48no—
308Dic142—48no—
309C8×C71—22no—
310C8×C71—22no—
311C71⋊C8—22no—
312C71⋊C8—22no—
313C22×C71#53612yes—
314C22×C71C2×#13512yes—
315C22×C71C2×#13712yes—
316C22×C71C23×D411yescharacteristic
317C2×D71—22no—
318C2×D71—22no—
319C2×D71—22no—
320C2×D71—44no—
321C4×C71—22no—
322C4×C71—22no—
323C4×C71—42no—
324C4×C71—42no—
325C4×C71—42no—
326C4×C71—42no—
327C4×C71#53612yes—
328C4×C71C2×2−1+411yescharacteristic
329C4×C71C2×2−1+411yescharacteristic
330Dic71—22no—
331Dic71—42no—
332Dic71—42no—
333Dic71—42no—
334Dic71—42no—
335Dic71C2×#13514yes—
336Dic71C2×#13714yes—
337C2×#3231—711nomaximal, Sylow
338C2×C71#323114yescomplemented
339C2×C71C2×#53611yescharacteristic
340C2×C71C22×#13511yescharacteristic
341C2×C71C22×#13711yescharacteristic
342D71—42no—
343C2×#533—711no—
344C2×#533—711no—
345#3231—7116no—
346C2×#500—711no—
347C2×#498—711no—
348C2×#487—711no—
349C2×#487—711no—
350C2×#485—711no—
351C2×#485—711no—
352C2×#485—711no—
353C2×#485—711no—
354C2×#479—711no—
355C2×#479—711no—
356C2×#479—711no—
357C2×#479D7111yescharacteristic, complemented
358C2×#431—711no—
359C71C2×#323111yescharacteristic, complemented, Sylow
360#533—718no—
361#533—718no—
362#533—1424no—
363#533—1424no—
364C2×C4⋊Q8—711no—
365C2×C4⋊Q8—711no—
366C2×C4⋊Q8—711no—
367C2×C4⋊Q8—711no—
368C2×#125—711no—
369C2×#125—1421no—
370C2×#125C2×D7111yescharacteristic
371C2×C22⋊Q8—711no—
372C2×C22⋊Q8—711no—
373C2×C22⋊Q8—1421no—
374C2×C22⋊Q8—1421no—
375C2×C22⋊Q8—1421no—
376C2×C4×Q8—711no—
377C2×C4×Q8—1421no—
378C2×C4×Q8—1421no—
379C2×C4×Q8—1421no—
380C2×C4×Q8C2×D7111yescharacteristic
381C2×#117—711no—
382C2×#117—711no—
383C2×#117—1421no—
384C22×C42—711no—
385#500—718no—
386#498—718no—
387#487—718no—
388#487—718no—
389#485—718no—
390#485—718no—
391#485—718no—
392#485—718no—
393#479—718no—
394#479—718no—
395#479—718no—
396#479C2×D7118yescomplemented
397#431—718no—
398C2×#107—711no—
399C2×#107—711no—
400C2×#107—711no—
401C2×#107C2×D7111yescharacteristic
402C2×#106—711no—
403C2×#106—711no—
404C2×#106—711no—
405C2×#106C2×D7111yescharacteristic
406C2×C4⋊C8—711no—
407C2×C4⋊C8C2×D7111yescharacteristic
408C2×#103—711no—
409C2×#103—711no—
410C2×#103—711no—
411C2×#103—711no—
412C2×#103—711no—
413C2×#103—711no—
414C2×#103C2×D7111yescharacteristic
415C2×#103C2×D7111yescharacteristic
416C2×C22⋊C8—711no—
417C2×C22⋊C8—711no—
418C2×C4×C8—711no—
419C2×C4×C8—711no—
420C22×Q8—711no—
421C22×Q8—1421no—
422C22×Q8—1421no—
423C22×Q8—1421no—
424C22×Q8C22×D7111yescharacteristic
425C23×C4—711no—
426C23×C4—711no—
427C23×C4—711no—
428C22×C8—711no—
429C22×C8—711no—
430C22×C8C22×D7111yescharacteristic
431C22×C8C22×D7111yescharacteristic
432C4⋊Q8—714no—
433C4⋊Q8—714no—
434C4⋊Q8—714no—
435C4⋊Q8—714no—
436C4⋊Q8—1422no—
437C4⋊Q8—1422no—
438C4⋊Q8—1422no—
439C4⋊Q8—1422no—
440#125—22no—
441#125—714no—
442#125—1428no—
443#125—1422no—
444#125C22×D7114yes—
445C22⋊Q8—714no—
446C22⋊Q8—714no—
447C22⋊Q8—1422no—
448C22⋊Q8—1428no—
449C22⋊Q8—1428no—
450C22⋊Q8—1428no—
451C22⋊Q8—1422no—
452C4×Q8—22no—
453C4×Q8—714no—
454C4×Q8—1428no—
455C4×Q8—1428no—
456C4×Q8—1428no—
457C4×Q8—1422no—
458C4×Q8C22×D7114yes—
459#117—714no—
460#117—714no—
461#117—1428no—
462#117—1422no—
463#117—1422no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—711no—
468C2×C4⋊C4—711no—
469C2×C4⋊C4—711no—
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⋊C4C22×D7111yescharacteristic
481C2×C4⋊C4C22×D7111yescharacteristic
482C2×C4⋊C4C22×D7111yescharacteristic
483C2×C22⋊C4—1421no—
484C2×C22⋊C4—1421no—
485C2×C22⋊C4—1421no—
486C2×C22⋊C4—1421no—
487C2×C42—21no—
488C2×C42—711no—
489C2×C42—711no—
490C2×C42—711no—
491C2×C42—714no—
492C2×C42—714no—
493C2×C42—1421no—
494C2×C42—1421no—
495C2×C42—1421no—
496C2×C42C22×D7111yescharacteristic
497#107—714no—
498#107—714no—
499#107—714no—
500#107C22×D7114yes—
501#106—714no—
502#106—714no—
503#106—714no—
504#106C22×D7114yes—
505C4⋊C8—714no—
506C4⋊C8C22×D7114yes—
507#103—714no—
508#103—714no—
509#103—714no—
510#103—714no—
511#103—714no—
512#103—714no—
513#103C22×D7114yes—
514#103C22×D7114yes—
515C22⋊C8—714no—
516C22⋊C8—714no—
517C4×C8—714no—
518C4×C8—714no—
519C24—711no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—2844no—
524C2×Q8—2844no—
525C2×Q8—2844no—
526C2×Q8—712no—
527C2×Q8—1424no—
528C2×Q8—1424no—
529C2×Q8—1424no—
530C2×Q8—1422no—
531C2×Q8—1422no—
532C2×Q8—1421no—
533C2×Q8C23×D7112yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—711no—
539C22×C4—711no—
540C22×C4—711no—
541C22×C4—714no—
542C22×C4—712no—
543C22×C4—714no—
544C22×C4—712no—
545C22×C4—1424no—
546C22×C4—1424no—
547C22×C4—1421no—
548C22×C4—1421no—
549C22×C4—1421no—
550C22×C4—1421no—
551C22×C4—1422no—
552C22×C4—1422no—
553C22×C4D4×D7111yescharacteristic
554C22×C4D4×D7111yescharacteristic
555C22×C4C23×D7111yescharacteristic
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—712no—
559C2×C8—712no—
560C2×C8—1422no—
561C2×C8—1422no—
562C2×C8C23×D7112yes—
563C2×C8C23×D7112yes—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—712no—
571C4⋊C4—712no—
572C4⋊C4—712no—
573C4⋊C4—1424no—
574C4⋊C4—1424no—
575C4⋊C4—1424no—
576C4⋊C4—1424no—
577C4⋊C4—1424no—
578C4⋊C4—1424no—
579C4⋊C4—1424no—
580C4⋊C4—1424no—
581C4⋊C4—1424no—
582C4⋊C4—1424no—
583C4⋊C4—1421no—
584C4⋊C4—1421no—
585C4⋊C4—1421no—
586C4⋊C4C23×D7112yes—
587C4⋊C4C23×D7112yes—
588C4⋊C4C23×D7112yes—
589C22⋊C4—1424no—
590C22⋊C4—1424no—
591C22⋊C4—1424no—
592C22⋊C4—1424no—
593C42—24no—
594C42—714no—
595C42—714no—
596C42—712no—
597C42—712no—
598C42—1424no—
599C42—1424no—
600C42—1424no—
601C42D4×D7112yes—
602C42C23×D7112yes—
603C23—712no—
604C23—1422no—
605C23—1422no—
606C23—1422no—
607C23C2×D4×D7111yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—42no—
611Q8—2848no—
612Q8—2848no—
613Q8—2848no—
614Q8—2842no—
615Q8—1422no—
616Q8—1422no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—2842no—
628C2×C4—2842no—
629C2×C4—2842no—
630C2×C4—2842no—
631C2×C4—712no—
632C2×C4—712no—
633C2×C4—714no—
634C2×C4—714no—
635C2×C4—712no—
636C2×C4—1428no—
637C2×C4—1428no—
638C2×C4—1422no—
639C2×C4—1422no—
640C2×C4—1422no—
641C2×C4—1422no—
642C2×C4—1422no—
643C2×C4—1424no—
644C2×C4—1422no—
645C2×C4—1422no—
646C2×C4C2×D4×D7112yes—
647C2×C4C2×D4×D7112yes—
648C2×C4C2×D4×D7111yescharacteristic
649C2×C4#1455617512yes—
650C2×C4#1455617612yes—
651C2×C4C24×D7111yescharacteristic
652C8—22no—
653C8—22no—
654C8—1422no—
655C8—1422no—
656C22—2844no—
657C22—1422no—
658C22—1422no—
659C22—1422no—
660C22#1798657212yes—
661C22#135×D7112yes—
662C22#137×D7112yes—
663C22C22×D4×D7111yescharacteristic
664C4—22no—
665C4—22no—
666C4—42no—
667C4—42no—
668C4—42no—
669C4—42no—
670C4—2842no—
671C4—2842no—
672C4—2842no—
673C4—2842no—
674C4—714no—
675C4—714no—
676C4—1422no—
677C4#1798657212yes—
678C4C2×#1455617511yescharacteristic
679C4C2×#1455617611yescharacteristic
680C2—2842no—
681C2#2259949814yesdirect product factor
682C2C2×#1798657211yescharacteristic
683C2C2×#135×D7111yescharacteristic
684C2C2×#137×D7111yescharacteristic
subgroupG/H
centerC23C2×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC2×#479×C71C2
socleC23×C71C22×D4
prime radicalC23×D71C2×D4
hypercenterC2×#479D71
hypocenterC71C2×#3231
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #22599498C2direct (N × H)
4. C2×#17986403C2semidirect
5. C2×#17986396C2semidirect
6. C2×#17986348C2semidirect
7. C2×#17986348C2semidirect
12. C2×#17986307C2semidirect
13. C2×#17986306C2semidirect
14. C2×#17986303C2semidirect
16. C2×#479×C71C2semidirect
40. #17986403C22semidirect
41. #17986396C22semidirect
42. #17986348C22semidirect
43. #17986348C22semidirect
48. #17986307C22semidirect
49. #17986306C22semidirect
50. #17986303C22semidirect
71. #479×C71C22semidirect
338. C2×C71#3231semidirect
357. C2×#479D71semidirect
359. C71C2×#3231semidirect
396. #479C2×D71semidirect
681. C2#22599498direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179865552
C2×#179865532
#225994982
C2×#179864032
C2×#179863962
C2×#179863482
C2×#179863432
C2×#179863422
C2×#179863392
C2×#179863382
C2×#179863072
C2×#179863062
C2×#179863032
C2×#179860512
C2×#479×C712
C2×#323171