Finite Group Databasebeta

← C4×#16840009 #29686644

Subgroups — C4×#16840009 #29686644

Order 15616.

1086 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×#16840009C211yesmaximal, characteristic
2C2×C4×#11758190C211yesmaximal, characteristic, complemented
3C2×C4×#11758189C211yesmaximal, characteristic, complemented
4C4×#14519757C211yesmaximal, characteristic, complemented
5C4×#14519752C211yesmaximal, characteristic
6#21446698C211yesmaximal, characteristic, complemented
7#21446558C211yesmaximal, characteristic, complemented
8#21446517C211yesmaximal, characteristic, complemented
9#21446510C211yesmaximal, characteristic, complemented
10#21446256C211yesmaximal, characteristic
11#21446251C211yesmaximal, characteristic, complemented
12#21445853C211yesmaximal, characteristic, complemented
13C4×#14519700C211yesmaximal, characteristic, complemented
14C4×#14519697C211yesmaximal, characteristic, complemented
15C4×#107×C61C211yesmaximal, characteristic, complemented
16C22×#11758190C2211yescharacteristic
17C22×#11758189C2211yescharacteristic
18C22×#11758189C2211yescharacteristic
19C2×#14519757C2211yescharacteristic
20C2×#14519752C2211yescharacteristic
21C2×C4×Dic122C2211yescharacteristic
22C2×C4×D244—21no—
23C2×C4×D244C2211yescharacteristic
24C2×C42×D61C2211yescharacteristic
25#16840009C418yesdirect product factor
26C4×#11758190—24no—
27C2×#14519709C2211yescharacteristic
28C2×#14519702C2211yescharacteristic
29C2×#14519700C2211yescharacteristic
30C2×#14519700C2211yescharacteristic
31C2×#14519699C2211yescharacteristic
32C2×#14519697C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C4×#11758189—24no—
35C2×#14519687C2211yescharacteristic
36C2×#14519687C2211yescharacteristic
37C2×C4×#92418C2211yescharacteristic
38#16839667C2211yescharacteristic
39#16839663C2211yescharacteristic
40#16839661C2211yescharacteristic
41#16839661C2211yescharacteristic
42#16839654—21no—
43#16839647—21no—
44#16839640—21no—
45#16839636—21no—
46#16839619C2211yescharacteristic
47#16839619C2211yescharacteristic
48C4×C4⋊Dic61—21no—
49C4×#11758198—21no—
50C4×#11758198—21no—
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×#107×C61C2211yescharacteristic
56C2×#107×C61C2211yescharacteristic
57C2×C4×C8×C61C2211yescharacteristic
58C4×C4⋊C4×C61C2211yescharacteristic
59C4×C4⋊C4×C61C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C22×Dic122C2311yescharacteristic
63C22×D244—21no—
64C22×D244C2311yescharacteristic
65C22×C4×D61—21no—
66C22×C4×D61D411yescharacteristic
67C22×C4×D61D411yescharacteristic
68C22×C4×D61C2311yescharacteristic
69C2×#11758190—22no—
70C2×#11758190—22no—
71C2×#11758190C2×C414yescomplemented
72C2×#11758189—22no—
73C2×#11758189—22no—
74C2×#11758189—22no—
75C2×#11758189—22no—
76C2×#11758189—22no—
77C2×#11758189C2×C414yescomplemented
78C22×#92418C2311yescharacteristic
79C22×#92418C2311yescharacteristic
80#14519757—22no—
81#14519757C2×C414yescomplemented
82#14519752—22no—
83#14519752C2×C414yes—
84C4×Dic122—22no—
85C4×Dic122—22no—
86C4×D244—22no—
87C4×D244—22no—
88C4×D244—44no—
89C2×C4⋊Dic61—21no—
90C2×C4⋊Dic61—21no—
91C2×C4⋊Dic61—21no—
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×#11758196—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×C4×Dic61—21no—
103C2×C4×Dic61D411yescharacteristic
104C2×C4×Dic61D411yescharacteristic
105C2×C4×Dic61C2311yescharacteristic
106C42×D61—22no—
107C42×D61—22no—
108#14519709—22no—
109#14519702—22no—
110#14519700—22no—
111#14519700C2×C414yescomplemented
112#14519699—22no—
113#14519697—22no—
114#14519697C2×C414yescomplemented
115#14519687—22no—
116#14519687—22no—
117C4×#92418—22no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C2×C4⋊C4×C61C2311yescharacteristic
127C2×C4⋊C4×C61C2311yescharacteristic
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C42×C61—21no—
131C2×C42×C61—21no—
132C2×C42×C61C2311yescharacteristic
133#107×C61—22no—
134#107×C61C2×C414yescomplemented
135C4×C8×C61D414yescomplemented
136#95×C61—21no—
137#95×C61—21no—
138C23×D61—21no—
139C23×D61C2×D411yescharacteristic
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61C2×D411yescharacteristic
145C22×C4×C61C2×D411yescharacteristic
146C22×C4×C61C2411yescharacteristic
147C22×Dic61—21no—
148C22×Dic61—21no—
149C22×Dic61—21no—
150C22×Dic61C2×D411yescharacteristic
151C22×Dic61C2×D411yescharacteristic
152C22×Dic61C2×D411yescharacteristic
153C2×D244—21no—
154C2×D244—21no—
155C2×D244—21no—
156C2×D244—21no—
157C2×D244—24no—
158C2×D244—21no—
159C2×D244—42no—
160C2×D244—42no—
161C2×D244C22×C412yes—
162C2×C4×D61—21no—
163C2×C4×D61—21no—
164C2×C4×D61—21no—
165C2×C4×D61—21no—
166C2×C4×D61—22no—
167C2×C4×D61—22no—
168C2×C4×D61—22no—
169C2×C4×D61—22no—
170C2×C4×D61—41no—
171C2×C4×D61—41no—
172C2×C4×D61—42no—
173C2×C4×D61—42no—
174C2×C4×D61—42no—
175C2×C4×D61C22×C412yes—
176C2×C4×D61#4112yes—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122C22×C412yes—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61C22×C412yes—
186C2×C8×C61C2×D412yes—
187C2×C8×C61C2×D412yes—
188C2×C8×C61#4112yes—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61C22×C412yes—
196C4⋊C4×C61C22×C412yes—
197C42×C61—42no—
198C42×C61—42no—
199C42×C61C2×D412yes—
200C42×C61#4112yes—
201#11758198—24no—
202#11758198—24no—
203#11758198—42no—
204#11758198—42no—
205#11758198—42no—
206#11758198—42no—
207#11758198—42no—
208C4⋊Dic61—24no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—42no—
214C4⋊Dic61—42no—
215#11758196—42no—
216C4×Dic61—22no—
217C4×Dic61—22no—
218C4×Dic61—21no—
219C4×Dic61—21no—
220C4×Dic61—42no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418C22×C412yes—
226C2×#92418#4112yes—
227#11758190—28no—
228#11758189—28no—
229#11758189—28no—
230C23×C61C22×D411yescharacteristic
231C22×D61—21no—
232C22×D61—21no—
233C22×D61—21no—
234C22×D61—21no—
235C22×D61—21no—
236C22×D61—21no—
237C22×D61—22no—
238C22×D61—41no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61C4×D412yes—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—22no—
248C2×C4×C61—22no—
249C2×C4×C61—41no—
250C2×C4×C61—41no—
251C2×C4×C61—41no—
252C2×C4×C61—41no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61#12112yes—
260C2×C4×C61#12112yes—
261C2×C4×C61AGL(1,ℤ/8)12yes—
262C2×C4×C61#13712yes—
263C2×C4×C61C23×C411yescharacteristic
264C2×C4×C61C22×D411yescharacteristic
265C2×C4×C61C2×#4111yescharacteristic
266C2×C4×C61C2×#4111yescharacteristic
267C2×C4×C61C2×#4111yescharacteristic
268C2×C4×C61C2×#4111yescharacteristic
269C2×Dic61—21no—
270C2×Dic61—21no—
271C2×Dic61—22no—
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61C4×D412yes—
287D244—22no—
288D244—22no—
289D244—48no—
290D244—41no—
291D244—41no—
292C4×D61—22no—
293C4×D61—22no—
294C4×D61—22no—
295C4×D61—22no—
296C4×D61—44no—
297C4×D61—44no—
298C4×D61—84no—
299Dic122—22no—
300Dic122—22no—
301Dic122—41no—
302Dic122—41no—
303C8×C61—22no—
304C8×C61C4×D414yescomplemented
305#92418—22no—
306#92418—22no—
307C4×#468—611nomaximal, Sylow
308C22×C61C2×C4×D411yescharacteristic
309C22×C61C2×#12111yescharacteristic
310C22×C61#53211yescharacteristic
311C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
312C22×C61C2×#13711yescharacteristic
313C22×C61#57511yescharacteristic
314C22×C61#57511yescharacteristic
315C2×D61—22no—
316C2×D61—22no—
317C2×D61—22no—
318C2×D61—41no—
319C2×D61—41no—
320C2×D61—41no—
321C2×D61—41no—
322C2×D61—42no—
323C2×D61—42no—
324C2×D61—42no—
325C2×D61—81no—
326C2×D61—81no—
327C2×D61—81no—
328C2×D61—81no—
329C4×C61—22no—
330C4×C61—42no—
331C4×C61—42no—
332C4×C61—81no—
333C4×C61—81no—
334C4×C61#46814yescomplemented
335C4×C61C2×C4×D411yescharacteristic
336C4×C61C4×#4111yescharacteristic
337C4×C61#52511yescharacteristic
338C4×C61#52911yescharacteristic
339Dic61—22no—
340Dic61—41no—
341Dic61—41no—
342Dic61—42no—
343Dic61—81no—
344Dic61—81no—
345C2×#468—611no—
346C2×C4×SD16—611no—
347C2×C4×M16—611no—
348C4×C22⋊Q8—611no—
349C4×#121—611no—
350#1973—611no—
351#1943—611no—
352#1936—611no—
353#1935—611no—
354#1895—611no—
355#1894—611no—
356#1809—611no—
357C4×#107D6111yescharacteristic, complemented
358C4×#103—611no—
359C4×#102—611no—
360C2×C61C4×#12111yescharacteristic
361C2×C61C4×AGL(1,ℤ/8)11yescharacteristic
362C2×C61C4×#13711yescharacteristic
363C2×C61C2×#46811yescharacteristic
364C2×C61#305411yescharacteristic
365C2×C61#317111yescharacteristic
366C2×C61#317211yescharacteristic
367D61—42no—
368D61—82no—
369C22×SD16—611no—
370C22×M16—611no—
371C22×M16—611no—
372C2×C22⋊Q8—611no—
373C2×#121—611no—
374C2×C4×Q8—611no—
375C2×C4×D4—611no—
376C2×C4×D4—1221no—
377C22×C42—611no—
378#468—618no—
379C4×SD16—1224no—
380C2×#107C2×D6111yescharacteristic
381C2×#107C2×D6111yescharacteristic
382C2×#106—611no—
383C2×#103—611no—
384C2×#103—611no—
385C2×#103—611no—
386C2×#102—611no—
387C2×#102—611no—
388C2×#102—611no—
389C4×M16—1224no—
390C2×#97—611no—
391C2×#97—611no—
392C2×C4×C8—611no—
393C2×C4×C8C2×D6111yescharacteristic
394#391—611no—
395#390—611no—
396#389—611no—
397#389—611no—
398#388—1221no—
399#387—1221no—
400#386—1221no—
401#385—1221no—
402#380—611no—
403#380—611no—
404C4×C4⋊C4—1221no—
405C4×C4⋊C4C2×D6111yescharacteristic
406C4×C4⋊C4C2×D6111yescharacteristic
407C4×C22⋊C4—1221no—
408C4×C22⋊C4—1221no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#340C2×D6111yescharacteristic
414#340C2×D6111yescharacteristic
415C61C4×#46811yescharacteristic, complemented, Sylow
416C22×Q8—611no—
417C22×D4—611no—
418C22×D4—1221no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4—611no—
422C23×C4—1221no—
423C2×SD16—614no—
424C2×SD16—1222no—
425C2×SD16—1222no—
426C2×M16—614no—
427C2×M16—1222no—
428C2×M16—1222no—
429C2×M16—1222no—
430C2×M16—1222no—
431C2×M16—1222no—
432C22×C8—611no—
433C22×C8—611no—
434C22×C8C22×D6111yescharacteristic
435C22×C8C22×D6111yescharacteristic
436C22⋊Q8—614no—
437C22⋊Q8—1222no—
438#121—614no—
439#121—1222no—
440C4×Q8—1222no—
441C4×Q8—1222no—
442C4×D4—1222no—
443C4×D4—1222no—
444C4×D4—2444no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4—1221no—
449C2×C4⋊C4—1221no—
450C2×C4⋊C4—1221no—
451C2×C4⋊C4C22×D6111yescharacteristic
452C2×C4⋊C4C22×D6111yescharacteristic
453C2×C4⋊C4C22×D6111yescharacteristic
454C2×C4⋊C4C22×D6111yescharacteristic
455C2×C22⋊C4—1221no—
456C2×C22⋊C4—1221no—
457C2×C22⋊C4—1221no—
458C2×C22⋊C4—1221no—
459C2×C22⋊C4—1221no—
460C2×C22⋊C4—1221no—
461C2×C22⋊C4—1221no—
462C2×C42—21no—
463C2×C42—21no—
464C2×C42—611no—
465C2×C42—611no—
466C2×C42—611no—
467C2×C42—1222no—
468C2×C42—1222no—
469C2×C42—1221no—
470C2×C42C22×D6111yescharacteristic
471#107—22no—
472#107C4×D6114yescomplemented
473#106—1222no—
474#103—614no—
475#103—1222no—
476#103—1222no—
477#102—614no—
478#102—1222no—
479#102—1222no—
480#97—1222no—
481#97—1222no—
482C4×C8—1222no—
483C4×C8D24414yescomplemented
484#95—21no—
485#95—21no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492C24—611no—
493C24—1221no—
494C2×Q8—612no—
495C2×Q8—1221no—
496C2×Q8—1221no—
497C2×Q8—1221no—
498C2×Q8—1221no—
499C2×Q8—1221no—
500C2×D4—612no—
501C2×D4—1224no—
502C2×D4—1221no—
503C2×D4—1221no—
504C2×D4—1221no—
505C2×D4—1221no—
506C2×D4—1221no—
507C2×D4—2442no—
508C2×D4—2442no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—611no—
514C22×C4—612no—
515C22×C4—612no—
516C22×C4—611no—
517C22×C4—611no—
518C22×C4—1221no—
519C22×C4—1221no—
520C22×C4—1221no—
521C22×C4—1221no—
522C22×C4—1221no—
523C22×C4—1222no—
524C22×C4—1222no—
525C22×C4—1222no—
526C22×C4—1222no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—2441no—
530C22×C4—2441no—
531C22×C4—2442no—
532C22×C4—2442no—
533C22×C4—2442no—
534C22×C4D4×D6111yescharacteristic
535C22×C4D4×D6111yescharacteristic
536C22×C4C23×D6111yescharacteristic
537SD16—1228no—
538M16—1228no—
539M16—1228no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—612no—
543C2×C8—612no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8C2×C4×D6112yes—
549C2×C8C2×D24412yes—
550C2×C8C2×D24412yes—
551C2×C8#1175822212yes—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—1224no—
559C4⋊C4—1221no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—2442no—
564C4⋊C4—2442no—
565C4⋊C4—2442no—
566C4⋊C4C2×C4×D6112yes—
567C4⋊C4C2×C4×D6112yes—
568C22⋊C4—1224no—
569C22⋊C4—1224no—
570C22⋊C4—2442no—
571C22⋊C4—2442no—
572C22⋊C4—2442no—
573C22⋊C4—2442no—
574C22⋊C4—2442no—
575C42—42no—
576C42—42no—
577C42—1221no—
578C42—1221no—
579C42—1222no—
580C42—1222no—
581C42—2442no—
582C42C2×D24412yes—
583C42#1175822612yes—
584C23—612no—
585C23—1221no—
586C23—1221no—
587C23—1221no—
588C23—1221no—
589C23—1221no—
590C23—1221no—
591C23—1222no—
592C23—2441no—
593C23—2441no—
594C23—2441no—
595C23—2441no—
596C23—2441no—
597C23—2441no—
598C23C2×D4×D6111yescharacteristic
599Q8—1222no—
600Q8—1222no—
601Q8—2441no—
602Q8—2441no—
603D4—1222no—
604D4—1222no—
605D4—2448no—
606D4—2441no—
607D4—2441no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—612no—
623C2×C4—1221no—
624C2×C4—1221no—
625C2×C4—1222no—
626C2×C4—1222no—
627C2×C4—1222no—
628C2×C4—1222no—
629C2×C4—1222no—
630C2×C4—1221no—
631C2×C4—1221no—
632C2×C4—1221no—
633C2×C4—1221no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—4884no—
637C2×C4—2444no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2444no—
647C2×C4#1451975212yes—
648C2×C4#1451975212yes—
649C2×C4#1451980112yes—
650C2×C4#1451980912yes—
651C2×C4C22×C4×D6111yescharacteristic
652C2×C4C22×D24411yescharacteristic
653C2×C4#41×D6111yescharacteristic
654C2×C4#41×D6111yescharacteristic
655C2×C4C2×#1175822211yescharacteristic
656C2×C4C2×#1175822611yescharacteristic
657C8—22no—
658C8—1222no—
659C8—1222no—
660C8C4×D24414yescomplemented
661C22—1222no—
662C22—1222no—
663C22—1222no—
664C22—4881no—
665C22—4881no—
666C22—4881no—
667C22—4881no—
668C22—2442no—
669C22—2442no—
670C22—2442no—
671C22—2441no—
672C22—2441no—
673C22—2441no—
674C22—2441no—
675C22C4×D4×D6111yescharacteristic
676C22C2×#1451975211yescharacteristic
677C22#1684030911yescharacteristic
678C22C2×#1451980111yescharacteristic
679C22C2×#1451980911yescharacteristic
680C22#1684055911yescharacteristic
681C22#1684055911yescharacteristic
682C4—22no—
683C4—42no—
684C4—42no—
685C4—81no—
686C4—81no—
687C4—1222no—
688C4—4881no—
689C4—4881no—
690C4—2441no—
691C4—2441no—
692C4—2442no—
693C4#1684000914yesdirect product factor
694C4C2×C4×D24411yescharacteristic
695C4C4×#1175822611yescharacteristic
696C4#1684027411yescharacteristic
697C4#1684029911yescharacteristic
698C2—4882no—
699C2—2442no—
700C2C4×#1451975211yescharacteristic
701C2C4×#1451980111yescharacteristic
702C2C4×#1451980911yescharacteristic
703C2C2×#1684000911yescharacteristic
704C2#2145542911yescharacteristic
705C2#2145641211yescharacteristic
706C2#2145642311yescharacteristic
subgroupG/H
centerC22×C4D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC4×#107×C61C2
socleC23×C61C22×D4
prime radicalC2×#14519752C22
cosocleC22×C4×C61C24
hypercenterC4×#107D61
hypocenterC61C4×#468
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#107

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11758190C2semidirect
3. C2×C4×#11758189C2semidirect
4. C4×#14519757C2semidirect
6. #21446698C2semidirect
7. #21446558C2semidirect
8. #21446517C2semidirect
9. #21446510C2semidirect
11. #21446251C2semidirect
12. #21445853C2semidirect
13. C4×#14519700C2semidirect
14. C4×#14519697C2semidirect
15. C4×#107×C61C2semidirect
25. #16840009C4direct (N × H)
71. C2×#11758190C2×C4semidirect
77. C2×#11758189C2×C4semidirect
81. #14519757C2×C4semidirect
111. #14519700C2×C4semidirect
114. #14519697C2×C4semidirect
134. #107×C61C2×C4semidirect
135. C4×C8×C61D4semidirect
304. C8×C61C4×D4semidirect
334. C4×C61#468semidirect
357. C4×#107D61semidirect
415. C61C4×#468semidirect
472. #107C4×D61semidirect
483. C4×C8D244semidirect
660. C8C4×D244semidirect
693. C4#16840009direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168400092
C2×C4×#117581902
C2×C4×#117581892
C4×#145197572
C4×#145197522
#214466982
#214465582
#214465172
#214465102
#214462562
#214462512
#214458532
C4×#145197002
C4×#145196972
C4×#107×C612
C4×#46861