Finite Group Databasebeta

← C2×#21458774 #30560551

Subgroups — C2×#21458774 #30560551

Order 15616.

1898 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840473C211yesmaximal, characteristic, complemented
2C2×#16840468C211yesmaximal, characteristic, complemented
3#21458774C2116yesmaximal, direct product factor
4C2×#16840170C211yesmaximal, characteristic, complemented
5C2×#16840162C211yesmaximal, characteristic, complemented
6C2×#16840065C211yesmaximal, characteristic, complemented
7C2×#16840061C211yesmaximal, characteristic, complemented
8C2×#16840061C211yesmaximal, characteristic, complemented
9C2×#16840059C211yesmaximal, characteristic, complemented
10C2×#16840041C211yesmaximal, characteristic, complemented
11C2×#16840039C211yesmaximal, characteristic, complemented
12C2×#16839890C211yesmaximal, characteristic, complemented
13C2×#16839875C211yesmaximal, characteristic
14C2×#16839873C211yesmaximal, characteristic
15C2×#16839844C211yesmaximal, characteristic
16C2×C61×#501C211yesmaximal, characteristic, complemented
17C22×D488C2211yescharacteristic
18#16840473—24no—
19#16840473C2218yescomplemented
20#16840468—24no—
21#16840468C2218yescomplemented
22C2×#14519776C2211yescharacteristic
23C2×#14519768C2211yescharacteristic
24C2×#14519768C2211yescharacteristic
25C2×#14519768C2211yescharacteristic
26C2×#14519757—21no—
27C2×#14519757—21no—
28C2×#14519755—21no—
29C2×#14519755—21no—
30C2×#14519753—21no—
31C2×#14519753—21no—
32C2×C4×Dic122C2211yescharacteristic
33C2×C4×D244C2211yescharacteristic
34C2×C4×D244C2211yescharacteristic
35C2×#14519739C2211yescharacteristic
36C2×#14519739C2211yescharacteristic
37C2×#14519739C2211yescharacteristic
38C2×#14519739C2211yescharacteristic
39C2×C4⋊C4×D61—21no—
40C2×C4⋊C4×D61—21no—
41#16840170C2218yescomplemented
42#16840162C2218yescomplemented
43#16840065C2218yescomplemented
44#16840061C2218yescomplemented
45#16840061C2218yescomplemented
46#16840059C2218yescomplemented
47#16840041C2218yescomplemented
48#16840039C2218yescomplemented
49#16839890C2218yescomplemented
50#16839875C2218yes—
51#16839873C2218yes—
52#16839844C2218yes—
53C2×#14519710C2211yescharacteristic
54C2×#14519710C2211yescharacteristic
55C2×#14519710C2211yescharacteristic
56C2×#14519709C2211yescharacteristic
57C2×#14519708C2211yescharacteristic
58C2×C4⋊#92418C2211yescharacteristic
59C2×#14519706C2211yescharacteristic
60C2×#14519706C2211yescharacteristic
61C2×#14519699C2211yescharacteristic
62C2×#14519699C2211yescharacteristic
63C2×#14519697C2211yescharacteristic
64C2×#14519697C2211yescharacteristic
65C2×#14519697C2211yescharacteristic
66C2×#14519697C2211yescharacteristic
67C2×#14519687C2211yescharacteristic
68C2×C8×Dic61C2211yescharacteristic
69C2×C4⋊Q8×C61C2211yescharacteristic
70C2×#125×C61C2211yescharacteristic
71C61×#501C2218yescomplemented
72C2×#107×C61C2211yescharacteristic
73C2×#107×C61C2211yescharacteristic
74C2×#106×C61C2211yescharacteristic
75C2×#106×C61C2211yescharacteristic
76C2×#97×C61C2211yescharacteristic
77C22×Dic122—21no—
78C22×Dic122D411yescharacteristic
79C22×D244C2311yescharacteristic
80C22×D244C2311yescharacteristic
81C22×C4×D61—21no—
82C22×C4×D61—21no—
83C22×C4×D61—21no—
84C22×C4×D61—21no—
85C22×C4×D61—21no—
86C22×C4×D61—21no—
87C2×D488Q818yescomplemented
88C2×D488C2314yes—
89C22×#92418C2311yescharacteristic
90C22×#92418C2311yescharacteristic
91#14519776—22no—
92#14519776C2314yes—
93#14519768—22no—
94#14519768—22no—
95#14519768—22no—
96#14519768C2314yes—
97#14519768C2314yes—
98#14519768C2314yes—
99#14519757—28no—
100#14519757—28no—
101#14519755—28no—
102#14519755—28no—
103#14519753—28no—
104#14519753—28no—
105C4×Dic122D414yes—
106C4×Dic122C2314yes—
107C4×D244—22no—
108C4×D244—22no—
109C4×D244C2314yes—
110C4×D244C2314yes—
111#14519739—22no—
112#14519739—22no—
113#14519739—22no—
114#14519739—22no—
115#14519739C2314yes—
116#14519739C2314yes—
117#14519739C2314yes—
118#14519739C2314yes—
119C2×C4⋊Dic61—21no—
120C2×C4⋊Dic61—21no—
121C2×C4⋊Dic61—21no—
122C2×C4⋊Dic61D411yescharacteristic
123C2×C4⋊Dic61C2311yescharacteristic
124C2×C4⋊Dic61C2311yescharacteristic
125C2×#11758196—21no—
126C2×#11758196—21no—
127C2×#11758196—21no—
128C2×#11758196—21no—
129C2×#11758196D411yescharacteristic
130C2×#11758196D411yescharacteristic
131C4⋊C4×D61—28no—
132C4⋊C4×D61—28no—
133C2×#11758198—21no—
134C2×#11758198—21no—
135C2×#11758198—21no—
136C2×#11758198—21no—
137C2×#11758198—21no—
138C2×#11758198—21no—
139C2×C4×Dic61C2311yescharacteristic
140C2×C4×Dic61C2311yescharacteristic
141#14519710C2314yes—
142#14519710C2314yes—
143#14519710C2314yes—
144#14519709C2314yes—
145#14519708C2314yes—
146C4⋊#92418C2314yes—
147#14519706C2314yes—
148#14519706C2314yes—
149#14519699C2314yes—
150#14519699C2314yes—
151#14519697C2314yes—
152#14519697C2314yes—
153#14519697C2314yes—
154#14519697C2314yes—
155#14519687C2314yes—
156C8×Dic61C2314yes—
157C22×Q8×C61—21no—
158C22×C8×C61C2311yescharacteristic
159C22×C8×C61C2311yescharacteristic
160C4⋊Q8×C61—22no—
161C4⋊Q8×C61C2314yes—
162#125×C61—22no—
163#125×C61C2314yes—
164C2×C4⋊C4×C61—21no—
165C2×C4⋊C4×C61—21no—
166C2×C4⋊C4×C61—21no—
167C2×C4⋊C4×C61C2311yescharacteristic
168C2×C4⋊C4×C61C2311yescharacteristic
169C2×C4⋊C4×C61C2311yescharacteristic
170C2×C4⋊C4×C61C2311yescharacteristic
171C2×C42×C61C2311yescharacteristic
172#107×C61C2314yes—
173#107×C61C2314yes—
174#106×C61C2314yes—
175#106×C61C2314yes—
176#97×C61C2314yes—
177C23×D61—21no—
178C23×D61—21no—
179C2×Q8×C61—24no—
180C2×Q8×C61—82no—
181C22×C4×C61—21no—
182C22×C4×C61—21no—
183C22×C4×C61—21no—
184C22×C4×C61—21no—
185C22×C4×C61C2×D411yescharacteristic
186C22×C4×C61C2×D411yescharacteristic
187C22×C4×C61C2411yescharacteristic
188C22×Dic61—21no—
189C22×Dic61—21no—
190C22×Dic61C2×D411yescharacteristic
191C22×Dic61C2×D411yescharacteristic
192C22×Dic61C2×D411yescharacteristic
193C22×Dic61C2×D411yescharacteristic
194C2×D244—21no—
195C2×D244—21no—
196C2×D244—22no—
197C2×D244—22no—
198C2×D244C2×Q814yes—
199C2×D244C2×Q814yes—
200C2×D244C2412yes—
201C2×D244C2412yes—
202C2×C4×D61—24no—
203C2×C4×D61—24no—
204C2×C4×D61—24no—
205C2×C4×D61—24no—
206C2×C4×D61—24no—
207C2×C4×D61—24no—
208C2×C4×D61—44no—
209C2×C4×D61—44no—
210C2×C4×D61—82no—
211C2×C4×D61—82no—
212C2×C4×D61—82no—
213C2×C4×D61—82no—
214C2×Dic122—24no—
215C2×Dic122—42no—
216C2×Dic122—82no—
217C2×Dic122C2×D414yes—
218C2×C8×C61—22no—
219C2×C8×C61C2×Q814yes—
220C2×C8×C61C2412yes—
221C2×C8×C61C2412yes—
222C4⋊C4×C61—24no—
223C4⋊C4×C61—24no—
224C4⋊C4×C61—24no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61—21no—
227C4⋊C4×C61—21no—
228C4⋊C4×C61—21no—
229C4⋊C4×C61C2412yes—
230C4⋊C4×C61C2412yes—
231C4⋊C4×C61C2412yes—
232C4⋊C4×C61C2412yes—
233C42×C61C2×D412yes—
234C42×C61C2412yes—
235#11758198—24no—
236#11758198—24no—
237#11758198—24no—
238#11758198—24no—
239#11758198—24no—
240#11758198—24no—
241C4⋊Dic61—21no—
242C4⋊Dic61—21no—
243C4⋊Dic61—24no—
244C4⋊Dic61—24no—
245C4⋊Dic61—24no—
246C4⋊Dic61C2×D414yes—
247C4⋊Dic61C2412yes—
248C4⋊Dic61C2412yes—
249#11758196—24no—
250#11758196—24no—
251#11758196—24no—
252#11758196—24no—
253#11758196C2×D414yes—
254#11758196C2×D414yes—
255C4×Dic61C2×D412yes—
256C4×Dic61C2×D412yes—
257C4×Dic61C2412yes—
258C4×Dic61C2412yes—
259C2×#92418—22no—
260C2×#92418—22no—
261C2×#92418C2412yes—
262C2×#92418C2412yes—
263D488C2×Q8116yescomplemented
264C23×C61C22×D411yescharacteristic
265C22×D61—24no—
266C22×D61—24no—
267C22×D61—22no—
268C22×D61—22no—
269C22×D61—42no—
270C22×D61—42no—
271C22×D61—42no—
272C22×D61—42no—
273Q8×C61—84no—
274C2×C4×C61—22no—
275C2×C4×C61—22no—
276C2×C4×C61—22no—
277C2×C4×C61—22no—
278C2×C4×C61—22no—
279C2×C4×C61—22no—
280C2×C4×C61—42no—
281C2×C4×C61—42no—
282C2×C4×C61—42no—
283C2×C4×C61—42no—
284C2×C4×C61C22×D412yes—
285C2×C4×C61C22×D412yes—
286C2×C4×C61C22×D411yescharacteristic
287C2×C4×C61C22×Q812yes—
288C2×C4×C612−1+412yes—
289C2×C4×C61C2511yescharacteristic
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—22no—
295C2×Dic61—22no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61C22×D412yes—
299C2×Dic61C22×D412yes—
300C2×Dic61C22×D412yes—
301C2×Dic61C22×D412yes—
302D244—24no—
303D244—24no—
304D244—22no—
305D244—22no—
306D244C22×Q814yes—
307D244C22×Q814yes—
308C4×D61—48no—
309C4×D61—48no—
310C4×D61—84no—
311C4×D61—84no—
312C4×D61—84no—
313C4×D61—84no—
314Dic122—44no—
315Dic122—84no—
316C8×C61—22no—
317C8×C61C22×Q814yes—
318#92418—22no—
319#92418—22no—
320C2×#3389—611nomaximal, Sylow
321C22×C61D4×Q812yes—
322C22×C61#57512yes—
323C22×C61#57612yes—
324C22×C61C23×D411yescharacteristic
325C2×D61—24no—
326C2×D61—24no—
327C2×D61—48no—
328C2×D61—48no—
329C2×D61—42no—
330C2×D61—42no—
331C2×D61—42no—
332C2×D61—42no—
333C4×C61—22no—
334C4×C61—22no—
335C4×C61—42no—
336C4×C61—42no—
337C4×C61—42no—
338C4×C61—42no—
339C4×C61D4×Q812yes—
340C4×C61C23×Q811yescharacteristic
341C4×C61C2×2−1+411yescharacteristic
342Dic61—22no—
343Dic61—22no—
344Dic61—22no—
345Dic61—22no—
346Dic61—42no—
347Dic61—42no—
348C2×#554—611no—
349C2×#554—611no—
350#3389—6116no—
351C2×#501—611no—
352C2×#501D6111yescharacteristic, complemented
353C2×#499—611no—
354C2×#478—611no—
355C2×#478—611no—
356C2×#478—611no—
357C2×#478—611no—
358C2×#474—611no—
359C2×#474—611no—
360C2×#446—611no—
361C2×#442—611no—
362C2×#442—611no—
363C2×C4×D8—611no—
364C2×C61#338914yescomplemented
365C2×C61C2×D4×Q811yescharacteristic
366C2×C61C2×#57511yescharacteristic
367C2×C61C2×#57611yescharacteristic
368D61—44no—
369D61—44no—
370C22×D8—611no—
371#554—618no—
372#554—618no—
373#554—1224no—
374#554—1224no—
375C2×C4⋊Q8—611no—
376C2×C4⋊Q8C2×D6111yescharacteristic
377C2×#125—611no—
378C2×#125—611no—
379C2×#125—611no—
380C2×#125C2×D6111yescharacteristic
381C2×C22⋊Q8—1221no—
382C2×C22⋊Q8—1221no—
383C2×C22⋊Q8—1221no—
384C2×C22⋊Q8—1221no—
385C2×C22⋊Q8—1221no—
386C2×C22⋊Q8—1221no—
387C2×C4×Q8—611no—
388C2×C4×D4—611no—
389C2×C4×D4—611no—
390C2×C4×D4—611no—
391C2×C4×D4—611no—
392C2×C4×D4—611no—
393C2×C4×D4—611no—
394C22×C4⋊C4—1221no—
395C22×C4⋊C4—1221no—
396#501—618no—
397#501C2×D6118yescomplemented
398#499—618no—
399#478—618no—
400#478—618no—
401#478—618no—
402#478—618no—
403#474—618no—
404#474—618no—
405#446—618no—
406#442—618no—
407#442—618no—
408C4×D8—618no—
409C2×#107—611no—
410C2×#107—611no—
411C2×#107—611no—
412C2×#107C2×D6111yescharacteristic
413C2×#107C2×D6111yescharacteristic
414C2×#106—611no—
415C2×#106—611no—
416C2×#106C2×D6111yescharacteristic
417C2×#106C2×D6111yescharacteristic
418C2×C4⋊C8—611no—
419C2×C4⋊C8—611no—
420C2×C4⋊C8—611no—
421C2×#102—611no—
422C2×#102—611no—
423C2×#102—611no—
424C2×#102—611no—
425C2×#102—611no—
426C2×#102—611no—
427C2×#97—611no—
428C2×#97C2×D6111yescharacteristic
429C2×C4×C8—611no—
430C61C2×#338911yescharacteristic, complemented, Sylow
431C22×Q8—21no—
432C22×Q8—611no—
433C22×Q8—1221no—
434C22×D4—611no—
435C22×D4—611no—
436C23×C4—1221no—
437C23×C4—1221no—
438C23×C4—1221no—
439C23×C4—1221no—
440C23×C4—1221no—
441C23×C4—1221no—
442C2×D8—618no—
443C2×D8—614no—
444C22×C8—611no—
445C22×C8—611no—
446C22×C8C22×D6111yescharacteristic
447C22×C8C22×D6111yescharacteristic
448C4⋊Q8—22no—
449C4⋊Q8—614no—
450C4⋊Q8—1222no—
451C4⋊Q8C22×D6114yes—
452#125—22no—
453#125—614no—
454#125—614no—
455#125—614no—
456#125—1222no—
457#125—1222no—
458#125—1222no—
459#125C22×D6114yes—
460C22⋊Q8—1228no—
461C22⋊Q8—1228no—
462C22⋊Q8—1228no—
463C22⋊Q8—1228no—
464C22⋊Q8—1228no—
465C22⋊Q8—1228no—
466C4×Q8—614no—
467C4×Q8—614no—
468C4×D4—614no—
469C4×D4—614no—
470C4×D4—614no—
471C4×D4—614no—
472C4×D4—614no—
473C4×D4—614no—
474C4×D4—1222no—
475C4×D4—1222no—
476C4×D4—1222no—
477C4×D4—1222no—
478C4×D4—1222no—
479C4×D4—1222no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—21no—
483C2×C4⋊C4—611no—
484C2×C4⋊C4—611no—
485C2×C4⋊C4—611no—
486C2×C4⋊C4—611no—
487C2×C4⋊C4—611no—
488C2×C4⋊C4—1228no—
489C2×C4⋊C4—1228no—
490C2×C4⋊C4—1221no—
491C2×C4⋊C4—1221no—
492C2×C4⋊C4—1221no—
493C2×C4⋊C4—1221no—
494C2×C4⋊C4—1221no—
495C2×C4⋊C4—1221no—
496C2×C4⋊C4—1221no—
497C2×C4⋊C4C22×D6111yescharacteristic
498C2×C4⋊C4C22×D6111yescharacteristic
499C2×C4⋊C4C22×D6111yescharacteristic
500C2×C4⋊C4C22×D6111yescharacteristic
501C2×C22⋊C4—1221no—
502C2×C22⋊C4—1221no—
503C2×C22⋊C4—1221no—
504C2×C22⋊C4—1221no—
505C2×C22⋊C4—1221no—
506C2×C22⋊C4—1221no—
507C2×C42—611no—
508C2×C42—611no—
509C2×C42C22×D6111yescharacteristic
510#107—614no—
511#107—614no—
512#107—614no—
513#107C22×D6114yes—
514#107C22×D6114yes—
515#106—614no—
516#106—614no—
517#106C22×D6114yes—
518#106C22×D6114yes—
519C4⋊C8—614no—
520C4⋊C8—614no—
521C4⋊C8—614no—
522#102—614no—
523#102—614no—
524#102—614no—
525#102—614no—
526#102—614no—
527#102—614no—
528#97—614no—
529#97C22×D6114yes—
530C4×C8—614no—
531C24—1221no—
532C24—1221no—
533C2×Q8—24no—
534C2×Q8—82no—
535C2×Q8—614no—
536C2×Q8—1224no—
537C2×Q8—4882no—
538C2×Q8—2442no—
539C2×D4—614no—
540C2×D4—614no—
541C2×D4—612no—
542C2×D4—612no—
543C2×D4—1221no—
544C2×D4—1221no—
545C2×D4—1222no—
546C2×D4—1222no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—611no—
552C22×C4—611no—
553C22×C4—611no—
554C22×C4—611no—
555C22×C4—1224no—
556C22×C4—1224no—
557C22×C4—1224no—
558C22×C4—1224no—
559C22×C4—1221no—
560C22×C4—1221no—
561C22×C4—1224no—
562C22×C4—1224no—
563C22×C4—4882no—
564C22×C4—4882no—
565C22×C4—4882no—
566C22×C4—4882no—
567C22×C4—2444no—
568C22×C4—2444no—
569C22×C4D4×D6111yescharacteristic
570C22×C4D4×D6111yescharacteristic
571C22×C4C23×D6111yescharacteristic
572D8—6116no—
573C2×C8—22no—
574C2×C8—612no—
575C2×C8—612no—
576C2×C8—1222no—
577C2×C8—1222no—
578C2×C8Q8×D6114yes—
579C2×C8C23×D6112yes—
580C2×C8C23×D6112yes—
581C4⋊C4—24no—
582C4⋊C4—24no—
583C4⋊C4—24no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—614no—
589C4⋊C4—614no—
590C4⋊C4—614no—
591C4⋊C4—612no—
592C4⋊C4—612no—
593C4⋊C4—1224no—
594C4⋊C4—1224no—
595C4⋊C4—1224no—
596C4⋊C4—1224no—
597C4⋊C4—1224no—
598C4⋊C4—1224no—
599C4⋊C4—1224no—
600C4⋊C4—1221no—
601C4⋊C4—1221no—
602C4⋊C4C23×D6112yes—
603C4⋊C4C23×D6112yes—
604C4⋊C4C23×D6112yes—
605C4⋊C4C23×D6112yes—
606C22⋊C4—1224no—
607C22⋊C4—1224no—
608C22⋊C4—1224no—
609C22⋊C4—1224no—
610C22⋊C4—1224no—
611C22⋊C4—1224no—
612C42—612no—
613C42—612no—
614C42—612no—
615C42—612no—
616C42D4×D6112yes—
617C42C23×D6112yes—
618C23—1222no—
619C23—1222no—
620C23—1224no—
621C23—1224no—
622C23—2442no—
623C23—2442no—
624C23—2442no—
625C23—2442no—
626C23C2×D4×D6111yescharacteristic
627Q8—84no—
628Q8—4884no—
629Q8—2444no—
630D4—614no—
631D4—614no—
632D4—1222no—
633D4—1222no—
634D4—1224no—
635D4—1224no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—612no—
647C2×C4—612no—
648C2×C4—612no—
649C2×C4—612no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—4884no—
657C2×C4—4884no—
658C2×C4—4884no—
659C2×C4—4884no—
660C2×C4—2448no—
661C2×C4—2448no—
662C2×C4—2442no—
663C2×C4—2442no—
664C2×C4C2×D4×D6112yes—
665C2×C4C2×D4×D6112yes—
666C2×C4C2×D4×D6111yescharacteristic
667C2×C4C2×Q8×D6112yes—
668C2×C4#1451982512yes—
669C2×C4C24×D6111yescharacteristic
670C8—22no—
671C8—1222no—
672C8—1222no—
673C8C2×Q8×D6114yes—
674C22—1224no—
675C22—1224no—
676C22—2442no—
677C22—2442no—
678C22—2448no—
679C22—2448no—
680C22—2442no—
681C22—2442no—
682C22#1684042712yes—
683C22#1684056112yes—
684C22#1684056612yes—
685C22C22×D4×D6111yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—1222no—
693C4—1222no—
694C4—1222no—
695C4—1222no—
696C4—2442no—
697C4—2442no—
698C4#1684042712yes—
699C4C22×Q8×D6111yescharacteristic
700C4C2×#1451982511yescharacteristic
701C2—2444no—
702C2—2444no—
703C2#2145877414yesdirect product factor
704C2C2×#1684042711yescharacteristic
705C2C2×#1684056111yescharacteristic
706C2C2×#1684056611yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#501C2
socleC23×C61C22×D4
prime radicalC22×D488C22
hypercenterC2×#501D61
hypocenterC61C2×#3389
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
1. C2×#16840473C2semidirect
2. C2×#16840468C2semidirect
3. #21458774C2direct (N × H)
4. C2×#16840170C2semidirect
5. C2×#16840162C2semidirect
6. C2×#16840065C2semidirect
7. C2×#16840061C2semidirect
8. C2×#16840061C2semidirect
9. C2×#16840059C2semidirect
10. C2×#16840041C2semidirect
11. C2×#16840039C2semidirect
12. C2×#16839890C2semidirect
16. C2×C61×#501C2semidirect
19. #16840473C22semidirect
21. #16840468C22semidirect
41. #16840170C22semidirect
42. #16840162C22semidirect
43. #16840065C22semidirect
44. #16840061C22semidirect
45. #16840061C22semidirect
46. #16840059C22semidirect
47. #16840041C22semidirect
48. #16840039C22semidirect
49. #16839890C22semidirect
71. C61×#501C22semidirect
87. C2×D488Q8semidirect
263. D488C2×Q8semidirect
352. C2×#501D61semidirect
364. C2×C61#3389semidirect
397. #501C2×D61semidirect
430. C61C2×#3389semidirect
703. C2#21458774direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168404732
C2×#168404682
#214587742
C2×#168401702
C2×#168401622
C2×#168400652
C2×#168400612
C2×#168400592
C2×#168400412
C2×#168400392
C2×#168398902
C2×#168398752
C2×#168398732
C2×#168398442
C2×C61×#5012
C2×#338961