Finite Group Databasebeta

← C2×#22601291 #32877985

Subgroups — C2×#22601291 #32877985

Order 18176.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986726C211yesmaximal, characteristic, complemented
2C2×#17986705C211yesmaximal, characteristic
3#22601291C2116yesmaximal, direct product factor
4C2×#17986407C211yesmaximal, characteristic, complemented
5C2×#17986407C211yesmaximal, characteristic, complemented
6C2×#17986309C211yesmaximal, characteristic, complemented
7C2×#17986303C211yesmaximal, characteristic, complemented
8C2×#17986283C211yesmaximal, characteristic, complemented
9C2×#17986298C211yesmaximal, characteristic
10C2×#17986296C211yesmaximal, characteristic
11C2×#17986288C211yesmaximal, characteristic
12C2×#17986129C211yesmaximal, characteristic, complemented
13C2×#17986098C211yesmaximal, characteristic
14C2×#17986098C211yesmaximal, characteristic
15C2×C4×#11765854C211yesmaximal, characteristic
16C2×#499×C71C211yesmaximal, characteristic, complemented
17C22×#11765854C2211yescharacteristic
18#17986726—24no—
19#17986726C2218yescomplemented
20#17986705—24no—
21#17986705C2218yes—
22C2×#14556127—21no—
23C2×#14556127C2211yescharacteristic
24C2×#14556127C2211yescharacteristic
25C2×#14556119C2211yescharacteristic
26C2×#14556119C2211yescharacteristic
27C2×#14556118—21no—
28C2×#14556118—21no—
29C2×#14556108—21no—
30C2×#14556106—21no—
31C2×#14556106—21no—
32C2×C4×Dic142C2211yescharacteristic
33C2×C4×Dic142C2211yescharacteristic
34C2×#14556093—21no—
35C2×#14556093C2211yescharacteristic
36C2×#14556093C2211yescharacteristic
37C2×C4×D284C2211yescharacteristic
38C2×#14556090C2211yescharacteristic
39C2×#14556090C2211yescharacteristic
40C2×C4⋊C4×D71—21no—
41#17986407C2218yescomplemented
42#17986407C2218yescomplemented
43#17986309C2218yescomplemented
44#17986303C2218yescomplemented
45#17986298C2218yes—
46#17986296C2218yes—
47#17986288C2218yes—
48#17986283C2218yescomplemented
49#17986129C2218yescomplemented
50#17986098C2218yes—
51#17986098C2218yes—
52C4×#11765854C2218yes—
53C2×#14556061C2211yescharacteristic
54C2×#14556061C2211yescharacteristic
55C2×#14556060C2211yescharacteristic
56C2×#14556059C2211yescharacteristic
57C2×#14556059C2211yescharacteristic
58C2×C4⋊(C71⋊C8)C2211yescharacteristic
59C2×Dic71⋊C8C2211yescharacteristic
60C2×Dic71⋊C8C2211yescharacteristic
61C2×#14556053C2211yescharacteristic
62C2×#14556051C2211yescharacteristic
63C2×#14556051C2211yescharacteristic
64C2×#14556050C2211yescharacteristic
65C2×#14556048C2211yescharacteristic
66C2×#14556048C2211yescharacteristic
67C2×#14556038C2211yescharacteristic
68C2×#14556038C2211yescharacteristic
69C2×#125×C71C2211yescharacteristic
70C2×#125×C71C2211yescharacteristic
71#499×C71C2218yescomplemented
72C2×#107×C71C2211yescharacteristic
73C2×#107×C71C2211yescharacteristic
74C2×#106×C71C2211yescharacteristic
75C2×#106×C71C2211yescharacteristic
76C2×C4×C8×C71C2211yescharacteristic
77C22×Dic142—21no—
78C22×Dic142—21no—
79C22×Dic142D411yescharacteristic
80C22×Dic142C2311yescharacteristic
81C22×D284C2311yescharacteristic
82C22×C4×D71—21no—
83C22×C4×D71—21no—
84C22×C4×D71—21no—
85C2×#11765854Q818yescomplemented
86C2×#11765854C2314yes—
87C22×C71⋊C8C2311yescharacteristic
88C22×C71⋊C8C2311yescharacteristic
89#14556127—28no—
90#14556127—22no—
91#14556127—22no—
92#14556127C2314yes—
93#14556127C2314yes—
94#14556119—22no—
95#14556119—22no—
96#14556119C2314yes—
97#14556119C2314yes—
98#14556118—28no—
99#14556118—28no—
100#14556108—28no—
101#14556106—28no—
102#14556106—28no—
103C4×Dic142—22no—
104C4×Dic142D414yes—
105C4×Dic142C2314yes—
106C4×Dic142C2314yes—
107#14556093—28no—
108#14556093—22no—
109#14556093—22no—
110#14556093C2314yes—
111#14556093C2314yes—
112C4×D284—22no—
113C4×D284C2314yes—
114#14556090—22no—
115#14556090—22no—
116#14556090C2314yes—
117#14556090C2314yes—
118C2×C4⋊Dic71—21no—
119C2×C4⋊Dic71—21no—
120C2×C4⋊Dic71D411yescharacteristic
121C2×C4⋊Dic71C2311yescharacteristic
122C2×C4⋊Dic71C2311yescharacteristic
123C2×Dic71⋊C4—21no—
124C2×Dic71⋊C4—21no—
125C2×Dic71⋊C4—21no—
126C2×Dic71⋊C4—21no—
127C2×Dic71⋊C4—21no—
128C2×Dic71⋊C4—21no—
129C2×Dic71⋊C4—21no—
130C2×Dic71⋊C4D411yescharacteristic
131C2×Dic71⋊C4D411yescharacteristic
132C4⋊C4×D71—28no—
133C2×(C2×D71)⋊C4—21no—
134C2×(C2×D71)⋊C4—21no—
135C2×(C2×D71)⋊C4—21no—
136C2×C4×Dic71—21no—
137C2×C4×Dic71—21no—
138C2×C4×Dic71—21no—
139C2×C4×Dic71C2311yescharacteristic
140C2×C4×Dic71C2311yescharacteristic
141#14556061C2314yes—
142#14556061C2314yes—
143#14556060C2314yes—
144#14556059C2314yes—
145#14556059C2314yes—
146C4⋊(C71⋊C8)C2314yes—
147Dic71⋊C8C2314yes—
148Dic71⋊C8C2314yes—
149#14556053C2314yes—
150#14556051C2314yes—
151#14556051C2314yes—
152#14556050C2314yes—
153#14556048C2314yes—
154#14556048C2314yes—
155#14556038C2314yes—
156#14556038C2314yes—
157C22×C8×C71C2311yescharacteristic
158C22×C8×C71C2311yescharacteristic
159#125×C71—22no—
160#125×C71—22no—
161#125×C71C2314yes—
162#125×C71C2314yes—
163C2×C4⋊C4×C71—21no—
164C2×C4⋊C4×C71—21no—
165C2×C4⋊C4×C71—21no—
166C2×C4⋊C4×C71—21no—
167C2×C4⋊C4×C71C2311yescharacteristic
168C2×C4⋊C4×C71C2311yescharacteristic
169C2×C4⋊C4×C71C2311yescharacteristic
170C2×C4⋊C4×C71C2311yescharacteristic
171C2×C42×C71C2311yescharacteristic
172#107×C71C2314yes—
173#107×C71C2314yes—
174#106×C71C2314yes—
175#106×C71C2314yes—
176C4×C8×C71C2314yes—
177C23×D71—21no—
178C2×Dic142—21no—
179C2×Dic142—22no—
180C2×Dic142—24no—
181C2×Dic142—24no—
182C2×Dic142—42no—
183C2×Dic142—44no—
184C2×Dic142—82no—
185C2×Dic142C2×D414yes—
186C2×Dic142C2×Q814yes—
187C2×Dic142C2412yes—
188C2×D284—21no—
189C2×D284—22no—
190C2×D284C2×Q814yes—
191C2×D284C2412yes—
192C22×Dic71—21no—
193C22×Dic71—21no—
194C22×Dic71—21no—
195C22×Dic71C2×D411yescharacteristic
196C22×Dic71C2×D411yescharacteristic
197C22×Dic71C2×D411yescharacteristic
198C22×Dic71C2×D411yescharacteristic
199C2×C4×D71—24no—
200C2×C4×D71—24no—
201C2×C4×D71—24no—
202C2×C4×D71—44no—
203C2×C4×D71—82no—
204C2×C4×D71—82no—
205#11765854C2×Q8116yescomplemented
206C2×C71⋊C8—22no—
207C2×C71⋊C8—22no—
208C2×C71⋊C8C2412yes—
209C2×C71⋊C8C2412yes—
210C4⋊Dic71—21no—
211C4⋊Dic71—21no—
212C4⋊Dic71—24no—
213C4⋊Dic71—24no—
214C4⋊Dic71C2×D414yes—
215C4⋊Dic71C2412yes—
216C4⋊Dic71C2412yes—
217Dic71⋊C4—24no—
218Dic71⋊C4—24no—
219Dic71⋊C4—24no—
220Dic71⋊C4—24no—
221Dic71⋊C4—24no—
222Dic71⋊C4—24no—
223Dic71⋊C4—24no—
224Dic71⋊C4C2×D414yes—
225Dic71⋊C4C2×D414yes—
226(C2×D71)⋊C4—24no—
227(C2×D71)⋊C4—24no—
228(C2×D71)⋊C4—24no—
229C4×Dic71—24no—
230C4×Dic71—24no—
231C4×Dic71—24no—
232C4×Dic71C2×D412yes—
233C4×Dic71C2×D412yes—
234C4×Dic71C2412yes—
235C4×Dic71C2412yes—
236C22×C4×C71—21no—
237C22×C4×C71—21no—
238C22×C4×C71—21no—
239C22×C4×C71—21no—
240C22×C4×C71C2×D411yescharacteristic
241C22×C4×C71C2×D411yescharacteristic
242C22×C4×C71C2411yescharacteristic
243C2×C8×C71—22no—
244C2×C8×C71C2×Q814yes—
245C2×C8×C71C2412yes—
246C2×C8×C71C2412yes—
247C4⋊C4×C71—24no—
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×C71—21no—
255C4⋊C4×C71C2412yes—
256C4⋊C4×C71C2412yes—
257C4⋊C4×C71C2412yes—
258C4⋊C4×C71C2412yes—
259C42×C71C2×D412yes—
260C42×C71C2412yes—
261C23×C71C22×D411yescharacteristic
262C22×D71—24no—
263C22×D71—22no—
264C22×D71—42no—
265C22×D71—42no—
266C2×C4×C71—22no—
267C2×C4×C71—22no—
268C2×C4×C71—22no—
269C2×C4×C71—22no—
270C2×C4×C71—22no—
271C2×C4×C71—22no—
272C2×C4×C71—42no—
273C2×C4×C71—42no—
274C2×C4×C71—42no—
275C2×C4×C71—42no—
276C2×C4×C71C22×D412yes—
277C2×C4×C71C22×D412yes—
278C2×C4×C71C22×D411yescharacteristic
279C2×C4×C71C22×Q812yes—
280C2×C4×C712−1+412yes—
281C2×C4×C71C2511yescharacteristic
282C2×Dic71—24no—
283C2×Dic71—22no—
284C2×Dic71—22no—
285C2×Dic71—22no—
286C2×Dic71—22no—
287C2×Dic71—22no—
288C2×Dic71—22no—
289C2×Dic71—22no—
290C2×Dic71—42no—
291C2×Dic71—42no—
292C2×Dic71C22×D412yes—
293C2×Dic71C22×D412yes—
294C2×Dic71C22×D412yes—
295C2×Dic71C22×D412yes—
296D284—24no—
297D284—22no—
298D284C22×Q814yes—
299C4×D71—48no—
300C4×D71—84no—
301C4×D71—84no—
302Dic142—24no—
303Dic142—22no—
304Dic142—44no—
305Dic142—48no—
306Dic142—84no—
307Dic142C22×Q814yes—
308C8×C71—22no—
309C8×C71C22×Q814yes—
310C71⋊C8—22no—
311C71⋊C8—22no—
312C22×C71D4×Q812yes—
313C22×C71#57512yes—
314C22×C71#57712yes—
315C22×C71C23×D411yescharacteristic
316C2×D71—24no—
317C2×D71—48no—
318C2×D71—42no—
319C2×D71—42no—
320C4×C71—22no—
321C4×C71—22no—
322C4×C71—42no—
323C4×C71—42no—
324C4×C71—42no—
325C4×C71—42no—
326C4×C71D4×Q812yes—
327C4×C71C23×Q811yescharacteristic
328C4×C71C2×2−1+411yescharacteristic
329Dic71—24no—
330Dic71—22no—
331Dic71—22no—
332Dic71—22no—
333Dic71—22no—
334Dic71—42no—
335Dic71—42no—
336C2×#3388—711nomaximal, Sylow
337C2×C71#338814yescomplemented
338C2×C71C2×D4×Q811yescharacteristic
339C2×C71C2×#57511yescharacteristic
340C2×C71C2×#57711yescharacteristic
341D71—44no—
342C2×#557—711no—
343C2×#554—711no—
344#3388—7116no—
345C2×#501—711no—
346C2×#501—711no—
347C2×#499D7111yescharacteristic, complemented
348C2×#479—711no—
349C2×#479—711no—
350C2×#475—711no—
351C2×#478—711no—
352C2×#478—711no—
353C2×#476—711no—
354C2×#446—711no—
355C2×#440—711no—
356C2×#440—711no—
357C2×C4×SD16—711no—
358C71C2×#338811yescharacteristic, complemented, Sylow
359C22×SD16—711no—
360#557—718no—
361#557—1424no—
362#554—718no—
363#554—1424no—
364C2×C4⋊Q8—711no—
365C2×C4⋊Q8—711no—
366C2×C4⋊Q8—1421no—
367C2×#125—711no—
368C2×#125—711no—
369C2×#125—1421no—
370C2×#125—1421no—
371C2×#125C2×D7111yescharacteristic
372C2×#125C2×D7111yescharacteristic
373C2×C22⋊Q8—1421no—
374C2×C22⋊Q8—1421no—
375C2×C22⋊Q8—1421no—
376C2×C4×Q8—711no—
377C2×C4×Q8—711no—
378C2×C4×Q8—711no—
379C2×C4×Q8—711no—
380C2×C4×Q8—1421no—
381C2×C4×D4—711no—
382C2×C4×D4—711no—
383C2×C4×D4—711no—
384C22×C4⋊C4—1421no—
385#501—718no—
386#501—718no—
387#499C2×D7118yescomplemented
388#479—718no—
389#479—718no—
390#478—718no—
391#478—718no—
392#476—718no—
393#475—718no—
394#446—718no—
395#440—718no—
396#440—718no—
397C4×SD16—718no—
398C2×#107—711no—
399C2×#107—711no—
400C2×#107C2×D7111yescharacteristic
401C2×#107C2×D7111yescharacteristic
402C2×#106—711no—
403C2×#106—711no—
404C2×#106—711no—
405C2×#106C2×D7111yescharacteristic
406C2×#106C2×D7111yescharacteristic
407C2×C4⋊C8—711no—
408C2×C4⋊C8—711no—
409C2×C4⋊C8—711no—
410C2×#103—711no—
411C2×#103—711no—
412C2×#103—711no—
413C2×#102—711no—
414C2×#102—711no—
415C2×#102—711no—
416C2×#97—711no—
417C2×#97—711no—
418C2×C4×C8C2×D7111yescharacteristic
419C22×Q8—711no—
420C22×Q8—711no—
421C22×Q8—1421no—
422C22×Q8—1421no—
423C22×D4—711no—
424C23×C4—1421no—
425C23×C4—1421no—
426C23×C4—1421no—
427C2×SD16—718no—
428C2×SD16—714no—
429C22×C8—711no—
430C22×C8—711no—
431C22×C8C22×D7111yescharacteristic
432C22×C8C22×D7111yescharacteristic
433C4⋊Q8—714no—
434C4⋊Q8—714no—
435C4⋊Q8—1422no—
436C4⋊Q8—1422no—
437C4⋊Q8—1428no—
438#125—22no—
439#125—22no—
440#125—714no—
441#125—714no—
442#125—1422no—
443#125—1422no—
444#125—1428no—
445#125—1428no—
446#125C22×D7114yes—
447#125C22×D7114yes—
448C22⋊Q8—1428no—
449C22⋊Q8—1428no—
450C22⋊Q8—1428no—
451C4×Q8—714no—
452C4×Q8—714no—
453C4×Q8—714no—
454C4×Q8—714no—
455C4×Q8—714no—
456C4×Q8—1422no—
457C4×Q8—1422no—
458C4×Q8—1428no—
459C4×Q8—1422no—
460C4×D4—714no—
461C4×D4—714no—
462C4×D4—714no—
463C4×D4—1422no—
464C4×D4—1422no—
465C4×D4—1422no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—711no—
471C2×C4⋊C4—711no—
472C2×C4⋊C4—711no—
473C2×C4⋊C4—711no—
474C2×C4⋊C4—711no—
475C2×C4⋊C4—1428no—
476C2×C4⋊C4—1421no—
477C2×C4⋊C4—1421no—
478C2×C4⋊C4—1421no—
479C2×C4⋊C4—1421no—
480C2×C4⋊C4—1421no—
481C2×C4⋊C4—1421no—
482C2×C4⋊C4—1421no—
483C2×C4⋊C4—1421no—
484C2×C4⋊C4—1421no—
485C2×C4⋊C4C22×D7111yescharacteristic
486C2×C4⋊C4C22×D7111yescharacteristic
487C2×C4⋊C4C22×D7111yescharacteristic
488C2×C4⋊C4C22×D7111yescharacteristic
489C2×C22⋊C4—1421no—
490C2×C22⋊C4—1421no—
491C2×C22⋊C4—1421no—
492C2×C42—711no—
493C2×C42—711no—
494C2×C42—1421no—
495C2×C42—1421no—
496C2×C42—1421no—
497C2×C42C22×D7111yescharacteristic
498#107—714no—
499#107—714no—
500#107C22×D7114yes—
501#107C22×D7114yes—
502#106—714no—
503#106—714no—
504#106—714no—
505#106C22×D7114yes—
506#106C22×D7114yes—
507C4⋊C8—714no—
508C4⋊C8—714no—
509C4⋊C8—714no—
510#103—714no—
511#103—714no—
512#103—714no—
513#102—714no—
514#102—714no—
515#102—714no—
516#97—714no—
517#97—714no—
518C4×C8C22×D7114yes—
519C24—1421no—
520C2×Q8—2842no—
521C2×Q8—2844no—
522C2×Q8—5682no—
523C2×Q8—714no—
524C2×Q8—714no—
525C2×Q8—712no—
526C2×Q8—1424no—
527C2×Q8—1424no—
528C2×Q8—1421no—
529C2×Q8—1422no—
530C2×D4—714no—
531C2×D4—712no—
532C2×D4—1421no—
533C2×D4—1422no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—2844no—
539C22×C4—5682no—
540C22×C4—5682no—
541C22×C4—711no—
542C22×C4—711no—
543C22×C4—711no—
544C22×C4—711no—
545C22×C4—1424no—
546C22×C4—1424no—
547C22×C4—1421no—
548C22×C4—1421no—
549C22×C4—1424no—
550C22×C4—1421no—
551C22×C4D4×D7111yescharacteristic
552C22×C4D4×D7111yescharacteristic
553C22×C4C23×D7111yescharacteristic
554SD16—7116no—
555C2×C8—22no—
556C2×C8—712no—
557C2×C8—712no—
558C2×C8—1422no—
559C2×C8—1422no—
560C2×C8Q8×D7114yes—
561C2×C8C23×D7112yes—
562C2×C8C23×D7112yes—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—714no—
572C4⋊C4—714no—
573C4⋊C4—714no—
574C4⋊C4—712no—
575C4⋊C4—712no—
576C4⋊C4—1424no—
577C4⋊C4—1424no—
578C4⋊C4—1424no—
579C4⋊C4—1424no—
580C4⋊C4—1424no—
581C4⋊C4—1424no—
582C4⋊C4—1424no—
583C4⋊C4—1424no—
584C4⋊C4—1424no—
585C4⋊C4—1421no—
586C4⋊C4—1421no—
587C4⋊C4C23×D7112yes—
588C4⋊C4C23×D7112yes—
589C4⋊C4C23×D7112yes—
590C4⋊C4C23×D7112yes—
591C22⋊C4—1424no—
592C22⋊C4—1424no—
593C22⋊C4—1424no—
594C42—712no—
595C42—712no—
596C42—712no—
597C42—712no—
598C42—1424no—
599C42—1424no—
600C42—1424no—
601C42D4×D7112yes—
602C42C23×D7112yes—
603C23—2842no—
604C23—2842no—
605C23—1422no—
606C23—1424no—
607C23C2×D4×D7111yescharacteristic
608Q8—2844no—
609Q8—2848no—
610Q8—5684no—
611Q8—714no—
612Q8—1422no—
613Q8—1424no—
614D4—714no—
615D4—1422no—
616D4—1424no—
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—2848no—
628C2×C4—2842no—
629C2×C4—2842no—
630C2×C4—5684no—
631C2×C4—5684no—
632C2×C4—712no—
633C2×C4—712no—
634C2×C4—712no—
635C2×C4—712no—
636C2×C4—1422no—
637C2×C4—1422no—
638C2×C4—1422no—
639C2×C4—1424no—
640C2×C4—1422no—
641C2×C4—1422no—
642C2×C4—1422no—
643C2×C4—1422no—
644C2×C4C2×D4×D7112yes—
645C2×C4C2×D4×D7112yes—
646C2×C4C2×D4×D7111yescharacteristic
647C2×C4C2×Q8×D7112yes—
648C2×C4#1455617612yes—
649C2×C4C24×D7111yescharacteristic
650C8—22no—
651C8—1422no—
652C8—1422no—
653C8C2×Q8×D7114yes—
654C22—2848no—
655C22—2842no—
656C22—2842no—
657C22—1424no—
658C22#1798666412yes—
659C22#1798679612yes—
660C22#1798680612yes—
661C22C22×D4×D7111yescharacteristic
662C4—22no—
663C4—22no—
664C4—42no—
665C4—42no—
666C4—42no—
667C4—42no—
668C4—2842no—
669C4—2842no—
670C4—1422no—
671C4—1422no—
672C4—1424no—
673C4—1422no—
674C4—1422no—
675C4#1798666412yes—
676C4C22×Q8×D7111yescharacteristic
677C4C2×#1455617611yescharacteristic
678C2—2844no—
679C2#2260129114yesdirect product factor
680C2C2×#1798666411yescharacteristic
681C2C2×#1798679611yescharacteristic
682C2C2×#1798680611yescharacteristic
subgroupG/H
centerC23C2×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC2×#499×C71C2
socleC23×C71C22×D4
prime radicalC22×D284C23
hypercenterC2×#499D71
hypocenterC71C2×#3388
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#499

Complements

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

NH ≅ G/Ntype
1. C2×#17986726C2semidirect
3. #22601291C2direct (N × H)
4. C2×#17986407C2semidirect
5. C2×#17986407C2semidirect
6. C2×#17986309C2semidirect
7. C2×#17986303C2semidirect
8. C2×#17986283C2semidirect
12. C2×#17986129C2semidirect
16. C2×#499×C71C2semidirect
19. #17986726C22semidirect
41. #17986407C22semidirect
42. #17986407C22semidirect
43. #17986309C22semidirect
44. #17986303C22semidirect
48. #17986283C22semidirect
49. #17986129C22semidirect
71. #499×C71C22semidirect
85. C2×#11765854Q8semidirect
205. #11765854C2×Q8semidirect
337. C2×C71#3388semidirect
347. C2×#499D71semidirect
358. C71C2×#3388semidirect
387. #499C2×D71semidirect
679. C2#22601291direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179867262
C2×#179867052
#226012912
C2×#179864072
C2×#179863092
C2×#179863032
C2×#179862832
C2×#179862982
C2×#179862962
C2×#179862882
C2×#179861292
C2×#179860982
C2×C4×#117658542
C2×#499×C712
C2×#338871