Finite Group Databasebeta

← C2×#81974 #11664807

Subgroups — C2×#81974 #11664807

Order 768.

1854 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×#5729C211yesmaximal, characteristic
2C2×#5689C211yesmaximal, characteristic
3C2×C3×#501C211yesmaximal, characteristic, complemented
4C2×#5080C211yesmaximal, characteristic, complemented
5C2×#5065C211yesmaximal, characteristic, complemented
6#81974C2116yesmaximal, direct product factor
7C2×#4881C211yesmaximal, characteristic
8C2×#4880C211yesmaximal, characteristic
9C2×#4878C211yesmaximal, characteristic, complemented
10C2×#4876C211yesmaximal, characteristic, complemented
11C2×#4861C211yesmaximal, characteristic
12C2×D3×#106C211yesmaximal, characteristic
13C2×#4856C211yesmaximal, characteristic, complemented
14C2×#4855C211yesmaximal, characteristic, complemented
15C2×#4708C211yesmaximal, characteristic
16C2×#4702C211yesmaximal, characteristic, complemented
17C2×#3163—31nomaximal, Sylow
18C2×C3×C4⋊Q8C2211yescharacteristic
19C2×C3×#125C2211yescharacteristic
20C2×#946—21no—
21C2×#944—21no—
22C22×ΓL(1,𝔽25)C2211yescharacteristic
23C22×D3×C8C2211yescharacteristic
24#5729—24no—
25#5729C2218yes—
26#5689—24no—
27#5689C2218yes—
28C2×#897—21no—
29C2×#896—21no—
30C2×#896—21no—
31C2×#892C2211yescharacteristic
32C2×#892C2211yescharacteristic
33C2×D3×C4⋊C4C2211yescharacteristic
34C2×D3×C4⋊C4C2211yescharacteristic
35C2×#890C2211yescharacteristic
36C2×#890C2211yescharacteristic
37C2×#889—21no—
38C2×#889—21no—
39C2×#888—21no—
40C2×#888C2211yescharacteristic
41C2×#888C2211yescharacteristic
42C2×#872C2211yescharacteristic
43C2×#870C2211yescharacteristic
44C2×#869C2211yescharacteristic
45C3×#501C2218yescomplemented
46C2×C3×#107C2211yescharacteristic
47C2×C3×#107C2211yescharacteristic
48C2×C3×#106C2211yescharacteristic
49C2×C3×#106C2211yescharacteristic
50C2×C3×#97C2211yescharacteristic
51C2×#818C2211yescharacteristic
52C2×#818C2211yescharacteristic
53C2×#817C2211yescharacteristic
54C2×#817C2211yescharacteristic
55C2×#815C2211yescharacteristic
56C2×C8×Dic3C2211yescharacteristic
57#5080C2218yescomplemented
58#5065C2218yescomplemented
59C2×#808C2211yescharacteristic
60C2×#808C2211yescharacteristic
61C2×#808C2211yescharacteristic
62C2×#808C2211yescharacteristic
63C2×#808C2211yescharacteristic
64C2×#808C2211yescharacteristic
65C2×#807C2211yescharacteristic
66C2×#807C2211yescharacteristic
67C2×C4×C3⋊C8C2211yescharacteristic
68#4881C2218yes—
69#4880C2218yes—
70#4878C2218yescomplemented
71#4876C2218yescomplemented
72#4861C2218yes—
73D3×#106C2218yes—
74#4856C2218yescomplemented
75#4855C2218yescomplemented
76#4708C2218yes—
77#4702C2218yescomplemented
78C2×#544—31no—
79C2×#544—31no—
80#3163—316no—
81C2×#501—31no—
82C2×#501—31no—
83C2×#501—31no—
84C2×#501D311yescharacteristic, complemented
85C2×#499—31no—
86C2×#499—31no—
87C2×#498—31no—
88C2×#498—31no—
89C2×#428—31no—
90C2×#428—31no—
91C2×#427—31no—
92C22×#106—31no—
93C2×#405—31no—
94C22×C3×Q8—21no—
95C22×C4×D3—21no—
96C22×C4×D3—21no—
97C22×C4×D3C2311yescharacteristic
98C22×Dic6—21no—
99C22×Dic6—21no—
100C22×Dic6—21no—
101C22×C3×C8C2311yescharacteristic
102C22×C3×C8C2311yescharacteristic
103C3×C4⋊Q8—22no—
104C3×C4⋊Q8C2314yes—
105C3×#125—22no—
106C3×#125C2314yes—
107C2×C3×C4⋊C4—21no—
108C2×C3×C4⋊C4—21no—
109C2×C3×C4⋊C4—21no—
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
112C2×C3×C4⋊C4C2311yescharacteristic
113C2×C3×C4⋊C4C2311yescharacteristic
114C2×C3×C42C2311yescharacteristic
115#946—28no—
116#944—28no—
117C2×(C2×D3)⋊C4—21no—
118C2×(C2×D3)⋊C4—21no—
119C2×(C2×D3)⋊C4D411yescharacteristic
120C2×(C2×D3)⋊C4D411yescharacteristic
121C2×C4⋊Dic3—21no—
122C2×C4⋊Dic3—21no—
123C2×C4⋊Dic3—21no—
124C2×C4⋊Dic3C2311yescharacteristic
125C2×C4⋊Dic3C2311yescharacteristic
126C2×C4⋊Dic3C2311yescharacteristic
127C2×C4⋊Dic3C2311yescharacteristic
128C2×Dic3⋊C4—21no—
129C2×Dic3⋊C4—21no—
130C2×Dic3⋊C4—21no—
131C2×Dic3⋊C4—21no—
132C2×Dic3⋊C4—21no—
133C2×Dic3⋊C4—21no—
134C2×Dic3⋊C4—21no—
135C2×Dic3⋊C4—21no—
136C2×Dic3⋊C4D411yescharacteristic
137C2×Dic3⋊C4D411yescharacteristic
138C2×C4×Dic3—21no—
139C2×C4×Dic3—21no—
140C2×C4×Dic3C2311yescharacteristic
141C22×C3⋊C8C2311yescharacteristic
142C22×C3⋊C8C2311yescharacteristic
143C2×ΓL(1,𝔽25)Q818yescomplemented
144C2×ΓL(1,𝔽25)C2314yes—
145C2×D3×C8Q818yescomplemented
146C2×D3×C8C2314yes—
147#897—28no—
148#896—28no—
149#896—28no—
150#892—22no—
151#892—22no—
152#892C2314yes—
153#892C2314yes—
154D3×C4⋊C4—22no—
155D3×C4⋊C4—22no—
156D3×C4⋊C4C2314yes—
157D3×C4⋊C4C2314yes—
158#890—22no—
159#890—22no—
160#890C2314yes—
161#890C2314yes—
162#889—28no—
163#889—28no—
164#888—28no—
165#888—22no—
166#888—22no—
167#888C2314yes—
168#888C2314yes—
169#872D414yes—
170#872C2314yes—
171#870—22no—
172#870C2314yes—
173#869—22no—
174#869C2314yes—
175C3×#107C2314yes—
176C3×#107C2314yes—
177C3×#106C2314yes—
178C3×#106C2314yes—
179C3×#97C2314yes—
180#818C2314yes—
181#818C2314yes—
182#817C2314yes—
183#817C2314yes—
184#815C2314yes—
185C8×Dic3C2314yes—
186#808C2314yes—
187#808C2314yes—
188#808C2314yes—
189#808C2314yes—
190#808C2314yes—
191#808C2314yes—
192#807C2314yes—
193#807C2314yes—
194C4×C3⋊C8C2314yes—
195C22×M16—31no—
196C23×C8—31no—
197#544—38no—
198#544—38no—
199#544—64no—
200#544—64no—
201C2×C4⋊Q8—31no—
202C2×C4⋊Q8—31no—
203C2×C4⋊Q8—31no—
204C2×C4⋊Q8—61no—
205C2×C4⋊Q8—61no—
206C2×C4⋊Q8C2×D311yescharacteristic
207C2×#125—31no—
208C2×#125—31no—
209C2×#125—31no—
210C2×#125—61no—
211C2×#125—61no—
212C2×#125C2×D311yescharacteristic
213C2×C22⋊Q8—61no—
214C2×C22⋊Q8—61no—
215C2×C22⋊Q8—61no—
216C2×C22⋊Q8—61no—
217C2×#117—31no—
218C2×#117—31no—
219C2×#117—31no—
220C22×C4⋊C4—31no—
221C22×C4⋊C4—31no—
222#501—38no—
223#501—38no—
224#501—38no—
225#501C2×D318yescomplemented
226#499—38no—
227#499—38no—
228#498—38no—
229#498—38no—
230#428—38no—
231#428—38no—
232#427—38no—
233C2×#107—31no—
234C2×#107—31no—
235C2×#107—31no—
236C2×#107—31no—
237C2×#107C2×D311yescharacteristic
238C2×#107C2×D311yescharacteristic
239C2×#106—31no—
240C2×#106—31no—
241C2×#106—31no—
242C2×#106—31no—
243C2×#106—31no—
244C2×#106—31no—
245C2×#106—31no—
246C2×#106—31no—
247C2×#106—38no—
248C2×#106C2×D311yescharacteristic
249C2×#106C2×D311yescharacteristic
250#405—38no—
251C2×#97—31no—
252C2×#97C2×D311yescharacteristic
253C2×C4×C8—31no—
254C2×C4×C8—31no—
255C23×D3C2×D411yescharacteristic
256C2×C3×Q8—24no—
257C2×C3×Q8—82no—
258C22×C3×C4—21no—
259C22×C3×C4—21no—
260C22×C3×C4—21no—
261C22×C3×C4—21no—
262C22×C3×C4C2×D411yescharacteristic
263C22×C3×C4C2×D411yescharacteristic
264C22×C3×C4C2411yescharacteristic
265C22×Dic3—21no—
266C22×Dic3—21no—
267C22×Dic3—21no—
268C22×Dic3—21no—
269C22×Dic3C2×D411yescharacteristic
270C22×Dic3C2×D411yescharacteristic
271C22×Dic3C2×D411yescharacteristic
272C2×C4×D3—24no—
273C2×C4×D3—24no—
274C2×C4×D3—82no—
275C2×C4×D3—82no—
276C2×C4×D3C2×D412yes—
277C2×C4×D3C2×Q814yes—
278C2×C4×D3C2×Q814yes—
279C2×C4×D3C2412yes—
280C2×Dic6—24no—
281C2×Dic6—24no—
282C2×Dic6—24no—
283C2×Dic6—82no—
284C2×Dic6—82no—
285C2×Dic6—82no—
286C2×C3×C8C2×Q814yes—
287C2×C3×C8C2×Q814yes—
288C2×C3×C8C2412yes—
289C2×C3×C8C2412yes—
290C3×C4⋊C4—21no—
291C3×C4⋊C4—21no—
292C3×C4⋊C4—24no—
293C3×C4⋊C4—24no—
294C3×C4⋊C4—24no—
295C3×C4⋊C4—21no—
296C3×C4⋊C4—21no—
297C3×C4⋊C4C2412yes—
298C3×C4⋊C4C2412yes—
299C3×C4⋊C4C2412yes—
300C3×C4⋊C4C2412yes—
301C3×C42C2×D412yes—
302C3×C42C2412yes—
303(C2×D3)⋊C4—24no—
304(C2×D3)⋊C4—24no—
305(C2×D3)⋊C4C2×D414yes—
306(C2×D3)⋊C4C2×D414yes—
307C4⋊Dic3—21no—
308C4⋊Dic3—21no—
309C4⋊Dic3—24no—
310C4⋊Dic3—21no—
311C4⋊Dic3—21no—
312C4⋊Dic3—24no—
313C4⋊Dic3—24no—
314C4⋊Dic3C2412yes—
315C4⋊Dic3C2412yes—
316C4⋊Dic3C2412yes—
317C4⋊Dic3C2412yes—
318Dic3⋊C4—24no—
319Dic3⋊C4—24no—
320Dic3⋊C4—24no—
321Dic3⋊C4—24no—
322Dic3⋊C4—24no—
323Dic3⋊C4—24no—
324Dic3⋊C4—24no—
325Dic3⋊C4—24no—
326Dic3⋊C4C2×D414yes—
327Dic3⋊C4C2×D414yes—
328C4×Dic3—24no—
329C4×Dic3—24no—
330C4×Dic3C2×D412yes—
331C4×Dic3C2412yes—
332C2×C3⋊C8C2×Q814yes—
333C2×C3⋊C8C2×Q814yes—
334C2×C3⋊C8C2412yes—
335C2×C3⋊C8C2412yes—
336ΓL(1,𝔽25)C2×Q8116yescomplemented
337D3×C8C2×Q8116yescomplemented
338C22×Q8—21no—
339C22×Q8—61no—
340C22×Q8—61no—
341C22×Q8—61no—
342C23×C4—31no—
343C23×C4—61no—
344C23×C4—61no—
345C2×M16—38no—
346C2×M16—34no—
347C22×C8—31no—
348C22×C8—31no—
349C22×C8—38no—
350C22×C8—34no—
351C22×C8C22×D311yescharacteristic
352C22×C8C22×D311yescharacteristic
353C4⋊Q8—22no—
354C4⋊Q8—34no—
355C4⋊Q8—34no—
356C4⋊Q8—34no—
357C4⋊Q8—62no—
358C4⋊Q8—62no—
359C4⋊Q8—68no—
360C4⋊Q8—68no—
361C4⋊Q8—62no—
362C4⋊Q8C22×D314yes—
363#125—22no—
364#125—34no—
365#125—34no—
366#125—34no—
367#125—62no—
368#125—62no—
369#125—68no—
370#125—68no—
371#125—62no—
372#125C22×D314yes—
373C22⋊Q8—68no—
374C22⋊Q8—68no—
375C22⋊Q8—68no—
376C22⋊Q8—68no—
377#117—34no—
378#117—34no—
379#117—34no—
380#117—34no—
381#117—62no—
382#117—62no—
383C2×C4⋊C4—21no—
384C2×C4⋊C4—21no—
385C2×C4⋊C4—21no—
386C2×C4⋊C4—31no—
387C2×C4⋊C4—31no—
388C2×C4⋊C4—31no—
389C2×C4⋊C4—31no—
390C2×C4⋊C4—31no—
391C2×C4⋊C4—31no—
392C2×C4⋊C4—34no—
393C2×C4⋊C4—34no—
394C2×C4⋊C4—62no—
395C2×C4⋊C4—62no—
396C2×C4⋊C4—61no—
397C2×C4⋊C4—61no—
398C2×C4⋊C4—61no—
399C2×C4⋊C4—61no—
400C2×C4⋊C4—61no—
401C2×C4⋊C4—61no—
402C2×C4⋊C4—61no—
403C2×C4⋊C4—61no—
404C2×C4⋊C4—61no—
405C2×C4⋊C4—61no—
406C2×C4⋊C4—61no—
407C2×C4⋊C4C22×D311yescharacteristic
408C2×C4⋊C4C22×D311yescharacteristic
409C2×C4⋊C4C22×D311yescharacteristic
410C2×C4⋊C4C22×D311yescharacteristic
411C2×C22⋊C4—31no—
412C2×C22⋊C4—31no—
413C2×C22⋊C4—61no—
414C2×C22⋊C4—61no—
415C2×C42—31no—
416C2×C42—61no—
417C2×C42—61no—
418C2×C42C22×D311yescharacteristic
419#107—34no—
420#107—34no—
421#107—34no—
422#107—34no—
423#107C22×D314yes—
424#107C22×D314yes—
425#106—34no—
426#106—34no—
427#106—34no—
428#106—34no—
429#106—34no—
430#106—34no—
431#106—34no—
432#106—34no—
433#106C22×D314yes—
434#106C22×D314yes—
435#97—34no—
436#97C22×D314yes—
437C4×C8—34no—
438C4×C8—34no—
439C23×C3C22×D411yescharacteristic
440C22×D3—22no—
441C22×D3—22no—
442C22×D3C4⋊Q814yes—
443C22×D3C22×D412yes—
444C3×Q8—84no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—22no—
448C2×C3×C4—22no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—42no—
452C2×C3×C4—42no—
453C2×C3×C4—42no—
454C2×C3×C4—42no—
455C2×C3×C4C22×D412yes—
456C2×C3×C4C22×D412yes—
457C2×C3×C4C22×D411yescharacteristic
458C2×C3×C4C22×Q812yes—
459C2×C3×C4C22×Q812yes—
460C2×C3×C4C2511yescharacteristic
461C2×Dic3—22no—
462C2×Dic3—22no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—22no—
466C2×Dic3—22no—
467C2×Dic3—42no—
468C2×Dic3—42no—
469C2×Dic3—42no—
470C2×Dic3—42no—
471C2×Dic3C4⋊Q814yes—
472C2×Dic3C22×D412yes—
473C2×Dic3C22×D412yes—
474C2×Dic3C22×D412yes—
475C4×D3—84no—
476C4×D3—84no—
477C4×D3C4⋊Q818yes—
478C4×D3C22×Q814yes—
479C4×D3C22×Q814yes—
480Dic6—84no—
481Dic6—84no—
482Dic6—84no—
483C3×C8C22×Q814yes—
484C3×C8C22×Q814yes—
485C3⋊C8C22×Q814yes—
486C3⋊C8C22×Q814yes—
487C24—31no—
488C2×Q8—24no—
489C2×Q8—64no—
490C2×Q8—64no—
491C2×Q8—64no—
492C2×Q8—82no—
493C2×Q8—242no—
494C2×Q8—242no—
495C2×Q8—242no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—31no—
501C22×C4—32no—
502C22×C4—34no—
503C22×C4—34no—
504C22×C4—32no—
505C22×C4—31no—
506C22×C4—31no—
507C22×C4—64no—
508C22×C4—64no—
509C22×C4—61no—
510C22×C4—61no—
511C22×C4—61no—
512C22×C4—61no—
513C22×C4—242no—
514C22×C4—242no—
515C22×C4D3×D411yescharacteristic
516C22×C4D3×D411yescharacteristic
517C22×C4C23×D311yescharacteristic
518M16—316no—
519C2×C8—34no—
520C2×C8—34no—
521C2×C8—32no—
522C2×C8—32no—
523C2×C8—316no—
524C2×C8D3×Q814yes—
525C2×C8D3×Q814yes—
526C2×C8C23×D312yes—
527C2×C8C23×D312yes—
528C4⋊C4—24no—
529C4⋊C4—24no—
530C4⋊C4—24no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—34no—
536C4⋊C4—34no—
537C4⋊C4—32no—
538C4⋊C4—32no—
539C4⋊C4—32no—
540C4⋊C4—32no—
541C4⋊C4—64no—
542C4⋊C4—64no—
543C4⋊C4—64no—
544C4⋊C4—64no—
545C4⋊C4—64no—
546C4⋊C4—64no—
547C4⋊C4—64no—
548C4⋊C4—64no—
549C4⋊C4—61no—
550C4⋊C4—61no—
551C4⋊C4—61no—
552C4⋊C4—61no—
553C4⋊C4—64no—
554C4⋊C4—64no—
555C4⋊C4—64no—
556C4⋊C4C23×D312yes—
557C4⋊C4C23×D312yes—
558C4⋊C4C23×D312yes—
559C4⋊C4C23×D312yes—
560C22⋊C4—34no—
561C22⋊C4—34no—
562C22⋊C4—64no—
563C22⋊C4—64no—
564C42—32no—
565C42—32no—
566C42—64no—
567C42—64no—
568C42D3×D412yes—
569C42C23×D312yes—
570C22×C3C2×C4⋊Q812yes—
571C22×C3#57712yes—
572C22×C3#57712yes—
573C22×C3C23×D411yescharacteristic
574C2×D3—28no—
575C2×D3—22no—
576C2×D3—22no—
577C2×D3C2×C4⋊Q814yes—
578C3×C4—22no—
579C3×C4—22no—
580C3×C4—42no—
581C3×C4—42no—
582C3×C4—42no—
583C3×C4—42no—
584C3×C4C2×C4⋊Q812yes—
585C3×C4C23×Q811yescharacteristic
586C3×C4C23×Q811yescharacteristic
587Dic3—22no—
588Dic3—22no—
589Dic3—42no—
590Dic3—42no—
591Dic3—42no—
592Dic3—42no—
593Dic3C2×C4⋊Q814yes—
594C23—32no—
595C23—34no—
596C23—62no—
597C23—62no—
598C23C2×D3×D411yescharacteristic
599Q8—84no—
600Q8—244no—
601Q8—244no—
602Q8—244no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—32no—
610C2×C4—34no—
611C2×C4—34no—
612C2×C4—34no—
613C2×C4—38no—
614C2×C4—32no—
615C2×C4—32no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—62no—
621C2×C4—62no—
622C2×C4—62no—
623C2×C4—62no—
624C2×C4—62no—
625C2×C4—62no—
626C2×C4—122no—
627C2×C4—122no—
628C2×C4—122no—
629C2×C4—122no—
630C2×C4—244no—
631C2×C4—244no—
632C2×C4C2×D3×D412yes—
633C2×C4C2×D3×D412yes—
634C2×C4C2×D3×D411yescharacteristic
635C2×C4C2×D3×Q812yes—
636C2×C4C2×D3×Q812yes—
637C2×C4C24×D311yescharacteristic
638C8—34no—
639C8—34no—
640C8C2×D3×Q814yes—
641C8C2×D3×Q814yes—
642C2×C3#316314yescomplemented
643C2×C3C22×C4⋊Q811yescharacteristic
644C2×C3C2×#57711yescharacteristic
645C2×C3C2×#57711yescharacteristic
646D3—24no—
647C22—34no—
648C22—68no—
649C22—62no—
650C22—62no—
651C22D3×C4⋊Q812yes—
652C22#577512yes—
653C22#577812yes—
654C22C22×D3×D411yescharacteristic
655C4—22no—
656C4—22no—
657C4—34no—
658C4—42no—
659C4—42no—
660C4—42no—
661C4—42no—
662C4—62no—
663C4—62no—
664C4—122no—
665C4—122no—
666C4—122no—
667C4—122no—
668C4D3×C4⋊Q812yes—
669C4C22×D3×Q811yescharacteristic
670C4C22×D3×Q811yescharacteristic
671C3C2×#316311yescharacteristic, complemented, Sylow
672C2—64no—
673C2#8197414yesdirect product factor
674C2C2×D3×C4⋊Q811yescharacteristic
675C2C2×#577511yescharacteristic
676C2C2×#577811yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC2×C3×#501C2
socleC23×C3C22×D4
prime radicalC23×D3C2×D4
hypercenterC2×#501D3
hypocenterC3C2×#3163
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
3. C2×C3×#501C2semidirect
4. C2×#5080C2semidirect
5. C2×#5065C2semidirect
6. #81974C2direct (N × H)
9. C2×#4878C2semidirect
10. C2×#4876C2semidirect
13. C2×#4856C2semidirect
14. C2×#4855C2semidirect
16. C2×#4702C2semidirect
45. C3×#501C22semidirect
57. #5080C22semidirect
58. #5065C22semidirect
70. #4878C22semidirect
71. #4876C22semidirect
74. #4856C22semidirect
75. #4855C22semidirect
77. #4702C22semidirect
84. C2×#501D3semidirect
143. C2×ΓL(1,𝔽25)Q8semidirect
145. C2×D3×C8Q8semidirect
225. #501C2×D3semidirect
336. ΓL(1,𝔽25)C2×Q8semidirect
337. D3×C8C2×Q8semidirect
642. C2×C3#3163semidirect
671. C3C2×#3163semidirect
673. C2#81974direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#57292
C2×#56892
C2×C3×#5012
C2×#50802
C2×#50652
#819742
C2×#48812
C2×#48802
C2×#48782
C2×#48762
C2×#48612
C2×D3×#1062
C2×#48562
C2×#48552
C2×#47082
C2×#47022
C2×#31633