Finite Group Databasebeta

← C4×#14583146 #25103228

Subgroups — C4×#14583146 #25103228

Order 11008.

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×#14583146C211yesmaximal, characteristic
2C2×C4×#10621873C211yesmaximal, characteristic, complemented
3C2×C4×#10621872C211yesmaximal, characteristic, complemented
4C4×#13063305C211yesmaximal, characteristic, complemented
5C4×#13063300C211yesmaximal, characteristic
6#19135474C211yesmaximal, characteristic, complemented
7#19135334C211yesmaximal, characteristic, complemented
8#19135293C211yesmaximal, characteristic, complemented
9#19135286C211yesmaximal, characteristic, complemented
10#19135032C211yesmaximal, characteristic
11#19135027C211yesmaximal, characteristic, complemented
12#19134629C211yesmaximal, characteristic, complemented
13C4×#13063248C211yesmaximal, characteristic, complemented
14C4×#13063245C211yesmaximal, characteristic, complemented
15C4×#107×C43C211yesmaximal, characteristic, complemented
16C22×#10621873C2211yescharacteristic
17C22×#10621872C2211yescharacteristic
18C22×#10621872C2211yescharacteristic
19C2×#13063305C2211yescharacteristic
20C2×#13063300C2211yescharacteristic
21C2×C4×Dic86C2211yescharacteristic
22C2×C4×D172—21no—
23C2×C4×D172C2211yescharacteristic
24C2×C42×D43C2211yescharacteristic
25#14583146C418yesdirect product factor
26C4×#10621873—24no—
27C2×#13063257C2211yescharacteristic
28C2×#13063250C2211yescharacteristic
29C2×#13063248C2211yescharacteristic
30C2×#13063248C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32C2×#13063245C2211yescharacteristic
33C2×#13063245C2211yescharacteristic
34C4×#10621872—24no—
35C2×#13063235C2211yescharacteristic
36C2×#13063235C2211yescharacteristic
37C2×C4×C43⋊C8C2211yescharacteristic
38#14582804C2211yescharacteristic
39#14582800C2211yescharacteristic
40#14582798C2211yescharacteristic
41#14582798C2211yescharacteristic
42#14582791—21no—
43#14582784—21no—
44#14582777—21no—
45#14582773—21no—
46#14582756C2211yescharacteristic
47#14582756C2211yescharacteristic
48C4×C4⋊Dic43—21no—
49C4×(C2×D43)⋊C4—21no—
50C4×(C2×D43)⋊C4—21no—
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×#107×C43C2211yescharacteristic
56C2×#107×C43C2211yescharacteristic
57C2×C4×C8×C43C2211yescharacteristic
58C4×C4⋊C4×C43C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C22×D172—21no—
64C22×D172C2311yescharacteristic
65C22×C4×D43—21no—
66C22×C4×D43D411yescharacteristic
67C22×C4×D43D411yescharacteristic
68C22×C4×D43C2311yescharacteristic
69C2×#10621873—22no—
70C2×#10621873—22no—
71C2×#10621873C2×C414yescomplemented
72C2×#10621872—22no—
73C2×#10621872—22no—
74C2×#10621872—22no—
75C2×#10621872—22no—
76C2×#10621872—22no—
77C2×#10621872C2×C414yescomplemented
78C22×C43⋊C8C2311yescharacteristic
79C22×C43⋊C8C2311yescharacteristic
80#13063305—22no—
81#13063305C2×C414yescomplemented
82#13063300—22no—
83#13063300C2×C414yes—
84C4×Dic86—22no—
85C4×Dic86—22no—
86C4×D172—22no—
87C4×D172—22no—
88C4×D172—44no—
89C2×C4⋊Dic43—21no—
90C2×C4⋊Dic43—21no—
91C2×C4⋊Dic43—21no—
92C2×C4⋊Dic43C2311yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×Dic43⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×C4×Dic43—21no—
103C2×C4×Dic43D411yescharacteristic
104C2×C4×Dic43D411yescharacteristic
105C2×C4×Dic43C2311yescharacteristic
106C42×D43—22no—
107C42×D43—22no—
108#13063257—22no—
109#13063250—22no—
110#13063248—22no—
111#13063248C2×C414yescomplemented
112#13063247—22no—
113#13063245—22no—
114#13063245C2×C414yescomplemented
115#13063235—22no—
116#13063235—22no—
117C4×C43⋊C8—22no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C42×C43—21no—
131C2×C42×C43—21no—
132C2×C42×C43C2311yescharacteristic
133#107×C43—22no—
134#107×C43C2×C414yescomplemented
135C4×C8×C43D414yescomplemented
136#95×C43—21no—
137#95×C43—21no—
138C23×D43—21no—
139C23×D43C2×D411yescharacteristic
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43C2×D411yescharacteristic
145C22×C4×C43C2×D411yescharacteristic
146C22×C4×C43C2411yescharacteristic
147C22×Dic43—21no—
148C22×Dic43—21no—
149C22×Dic43—21no—
150C22×Dic43C2×D411yescharacteristic
151C22×Dic43C2×D411yescharacteristic
152C22×Dic43C2×D411yescharacteristic
153C2×D172—21no—
154C2×D172—24no—
155C2×D172—21no—
156C2×D172—21no—
157C2×D172—21no—
158C2×D172—21no—
159C2×D172—42no—
160C2×D172—42no—
161C2×D172C22×C412yes—
162C2×C4×D43—21no—
163C2×C4×D43—21no—
164C2×C4×D43—21no—
165C2×C4×D43—21no—
166C2×C4×D43—22no—
167C2×C4×D43—22no—
168C2×C4×D43—22no—
169C2×C4×D43—22no—
170C2×C4×D43—41no—
171C2×C4×D43—41no—
172C2×C4×D43—42no—
173C2×C4×D43—42no—
174C2×C4×D43—42no—
175C2×C4×D43C22×C412yes—
176C2×C4×D43#4112yes—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86C22×C412yes—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43C22×C412yes—
186C2×C8×C43C2×D412yes—
187C2×C8×C43C2×D412yes—
188C2×C8×C43#4112yes—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43C22×C412yes—
196C4⋊C4×C43C22×C412yes—
197C42×C43—42no—
198C42×C43—42no—
199C42×C43C2×D412yes—
200C42×C43#4112yes—
201(C2×D43)⋊C4—24no—
202(C2×D43)⋊C4—24no—
203(C2×D43)⋊C4—42no—
204(C2×D43)⋊C4—42no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—42no—
207(C2×D43)⋊C4—42no—
208C4⋊Dic43—24no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—42no—
214C4⋊Dic43—42no—
215Dic43⋊C4—42no—
216C4×Dic43—22no—
217C4×Dic43—22no—
218C4×Dic43—21no—
219C4×Dic43—21no—
220C4×Dic43—42no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8C22×C412yes—
226C2×C43⋊C8#4112yes—
227#10621873—28no—
228#10621872—28no—
229#10621872—28no—
230C23×C43C22×D411yescharacteristic
231C22×D43—21no—
232C22×D43—21no—
233C22×D43—21no—
234C22×D43—21no—
235C22×D43—21no—
236C22×D43—21no—
237C22×D43—22no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43C4×D412yes—
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—22no—
248C2×C4×C43—22no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43#12112yes—
260C2×C4×C43#12112yes—
261C2×C4×C43AGL(1,ℤ/8)12yes—
262C2×C4×C43#13712yes—
263C2×C4×C43C23×C411yescharacteristic
264C2×C4×C43C22×D411yescharacteristic
265C2×C4×C43C2×#4111yescharacteristic
266C2×C4×C43C2×#4111yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×Dic43—21no—
270C2×Dic43—21no—
271C2×Dic43—22no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43C4×D412yes—
287D172—22no—
288D172—22no—
289D172—48no—
290D172—41no—
291D172—41no—
292C4×D43—22no—
293C4×D43—22no—
294C4×D43—22no—
295C4×D43—22no—
296C4×D43—44no—
297C4×D43—44no—
298C4×D43—84no—
299Dic86—22no—
300Dic86—22no—
301Dic86—41no—
302Dic86—41no—
303C8×C43—22no—
304C8×C43C4×D414yescomplemented
305C43⋊C8—22no—
306C43⋊C8—22no—
307C4×#468—431nomaximal, Sylow
308C22×C43C2×C4×D411yescharacteristic
309C22×C43C2×#12111yescharacteristic
310C22×C43#53211yescharacteristic
311C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
312C22×C43C2×#13711yescharacteristic
313C22×C43#57511yescharacteristic
314C22×C43#57511yescharacteristic
315C2×D43—22no—
316C2×D43—22no—
317C2×D43—22no—
318C2×D43—41no—
319C2×D43—41no—
320C2×D43—41no—
321C2×D43—41no—
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—42no—
325C2×D43—81no—
326C2×D43—81no—
327C2×D43—81no—
328C2×D43—81no—
329C4×C43—22no—
330C4×C43—42no—
331C4×C43—42no—
332C4×C43—81no—
333C4×C43—81no—
334C4×C43#46814yescomplemented
335C4×C43C2×C4×D411yescharacteristic
336C4×C43C4×#4111yescharacteristic
337C4×C43#52511yescharacteristic
338C4×C43#52911yescharacteristic
339Dic43—22no—
340Dic43—41no—
341Dic43—41no—
342Dic43—42no—
343Dic43—81no—
344Dic43—81no—
345C2×#468—431no—
346C2×C4×SD16—431no—
347C2×C4×M16—431no—
348C4×C22⋊Q8—431no—
349C4×#121—431no—
350#1973—431no—
351#1943—431no—
352#1936—431no—
353#1935—431no—
354#1895—431no—
355#1894—431no—
356#1809—431no—
357C4×#107D4311yescharacteristic, complemented
358C4×#103—431no—
359C4×#102—431no—
360C2×C43C4×#12111yescharacteristic
361C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
362C2×C43C4×#13711yescharacteristic
363C2×C43C2×#46811yescharacteristic
364C2×C43#305411yescharacteristic
365C2×C43#317111yescharacteristic
366C2×C43#317211yescharacteristic
367D43—42no—
368D43—82no—
369C22×SD16—431no—
370C22×M16—431no—
371C22×M16—431no—
372C2×C22⋊Q8—431no—
373C2×#121—431no—
374C2×C4×Q8—431no—
375C2×C4×D4—431no—
376C2×C4×D4—861no—
377C22×C42—431no—
378#468—438no—
379C4×SD16—864no—
380C2×#107C2×D4311yescharacteristic
381C2×#107C2×D4311yescharacteristic
382C2×#106—431no—
383C2×#103—431no—
384C2×#103—431no—
385C2×#103—431no—
386C2×#102—431no—
387C2×#102—431no—
388C2×#102—431no—
389C4×M16—864no—
390C2×#97—431no—
391C2×#97—431no—
392C2×C4×C8—431no—
393C2×C4×C8C2×D4311yescharacteristic
394#391—431no—
395#390—431no—
396#389—431no—
397#389—431no—
398#388—861no—
399#387—861no—
400#386—861no—
401#385—861no—
402#380—431no—
403#380—431no—
404C4×C4⋊C4—861no—
405C4×C4⋊C4C2×D4311yescharacteristic
406C4×C4⋊C4C2×D4311yescharacteristic
407C4×C22⋊C4—861no—
408C4×C22⋊C4—861no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340C2×D4311yescharacteristic
414#340C2×D4311yescharacteristic
415C43C4×#46811yescharacteristic, complemented, Sylow
416C22×Q8—431no—
417C22×D4—431no—
418C22×D4—861no—
419C23×C4—431no—
420C23×C4—431no—
421C23×C4—431no—
422C23×C4—861no—
423C2×SD16—434no—
424C2×SD16—862no—
425C2×SD16—862no—
426C2×M16—434no—
427C2×M16—862no—
428C2×M16—862no—
429C2×M16—862no—
430C2×M16—862no—
431C2×M16—862no—
432C22×C8—431no—
433C22×C8—431no—
434C22×C8C22×D4311yescharacteristic
435C22×C8C22×D4311yescharacteristic
436C22⋊Q8—434no—
437C22⋊Q8—862no—
438#121—434no—
439#121—862no—
440C4×Q8—862no—
441C4×Q8—862no—
442C4×D4—862no—
443C4×D4—862no—
444C4×D4—1724no—
445C2×C4⋊C4—431no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—861no—
448C2×C4⋊C4—861no—
449C2×C4⋊C4—861no—
450C2×C4⋊C4—861no—
451C2×C4⋊C4C22×D4311yescharacteristic
452C2×C4⋊C4C22×D4311yescharacteristic
453C2×C4⋊C4C22×D4311yescharacteristic
454C2×C4⋊C4C22×D4311yescharacteristic
455C2×C22⋊C4—861no—
456C2×C22⋊C4—861no—
457C2×C22⋊C4—861no—
458C2×C22⋊C4—861no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C42—21no—
463C2×C42—21no—
464C2×C42—431no—
465C2×C42—431no—
466C2×C42—431no—
467C2×C42—862no—
468C2×C42—862no—
469C2×C42—861no—
470C2×C42C22×D4311yescharacteristic
471#107—22no—
472#107C4×D4314yescomplemented
473#106—862no—
474#103—434no—
475#103—862no—
476#103—862no—
477#102—434no—
478#102—862no—
479#102—862no—
480#97—862no—
481#97—862no—
482C4×C8—862no—
483C4×C8D17214yescomplemented
484#95—21no—
485#95—21no—
486#95—861no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492C24—431no—
493C24—861no—
494C2×Q8—432no—
495C2×Q8—861no—
496C2×Q8—861no—
497C2×Q8—861no—
498C2×Q8—861no—
499C2×Q8—861no—
500C2×D4—432no—
501C2×D4—864no—
502C2×D4—861no—
503C2×D4—861no—
504C2×D4—861no—
505C2×D4—861no—
506C2×D4—861no—
507C2×D4—1722no—
508C2×D4—1722no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—431no—
514C22×C4—432no—
515C22×C4—432no—
516C22×C4—431no—
517C22×C4—431no—
518C22×C4—861no—
519C22×C4—861no—
520C22×C4—861no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—862no—
524C22×C4—862no—
525C22×C4—862no—
526C22×C4—862no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—1721no—
530C22×C4—1721no—
531C22×C4—1722no—
532C22×C4—1722no—
533C22×C4—1722no—
534C22×C4D4×D4311yescharacteristic
535C22×C4D4×D4311yescharacteristic
536C22×C4C23×D4311yescharacteristic
537SD16—868no—
538M16—868no—
539M16—868no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—432no—
543C2×C8—432no—
544C2×C8—861no—
545C2×C8—861no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8C2×C4×D4312yes—
549C2×C8C2×D17212yes—
550C2×C8C2×D17212yes—
551C2×C8#1062189812yes—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—864no—
559C4⋊C4—861no—
560C4⋊C4—861no—
561C4⋊C4—861no—
562C4⋊C4—861no—
563C4⋊C4—1722no—
564C4⋊C4—1722no—
565C4⋊C4—1722no—
566C4⋊C4C2×C4×D4312yes—
567C4⋊C4C2×C4×D4312yes—
568C22⋊C4—864no—
569C22⋊C4—864no—
570C22⋊C4—1722no—
571C22⋊C4—1722no—
572C22⋊C4—1722no—
573C22⋊C4—1722no—
574C22⋊C4—1722no—
575C42—42no—
576C42—42no—
577C42—862no—
578C42—862no—
579C42—861no—
580C42—861no—
581C42—1722no—
582C42C2×D17212yes—
583C42#1062190212yes—
584C23—432no—
585C23—861no—
586C23—861no—
587C23—861no—
588C23—861no—
589C23—861no—
590C23—861no—
591C23—862no—
592C23—1721no—
593C23—1721no—
594C23—1721no—
595C23—1721no—
596C23—1721no—
597C23—1721no—
598C23C2×D4×D4311yescharacteristic
599Q8—862no—
600Q8—862no—
601Q8—1721no—
602Q8—1721no—
603D4—862no—
604D4—862no—
605D4—1728no—
606D4—1721no—
607D4—1721no—
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—432no—
623C2×C4—861no—
624C2×C4—861no—
625C2×C4—862no—
626C2×C4—862no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—862no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—3444no—
637C2×C4—1724no—
638C2×C4—1721no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1724no—
647C2×C4#1306330012yes—
648C2×C4#1306330012yes—
649C2×C4#1306334912yes—
650C2×C4#1306335712yes—
651C2×C4C22×C4×D4311yescharacteristic
652C2×C4C22×D17211yescharacteristic
653C2×C4#41×D4311yescharacteristic
654C2×C4#41×D4311yescharacteristic
655C2×C4C2×#1062189811yescharacteristic
656C2×C4C2×#1062190211yescharacteristic
657C8—22no—
658C8—862no—
659C8—862no—
660C8C4×D17214yescomplemented
661C22—862no—
662C22—862no—
663C22—862no—
664C22—3441no—
665C22—3441no—
666C22—3441no—
667C22—3441no—
668C22—1722no—
669C22—1722no—
670C22—1722no—
671C22—1721no—
672C22—1721no—
673C22—1721no—
674C22—1721no—
675C22C4×D4×D4311yescharacteristic
676C22C2×#1306330011yescharacteristic
677C22#1458344611yescharacteristic
678C22C2×#1306334911yescharacteristic
679C22C2×#1306335711yescharacteristic
680C22#1458369611yescharacteristic
681C22#1458369611yescharacteristic
682C4—22no—
683C4—42no—
684C4—42no—
685C4—81no—
686C4—81no—
687C4—862no—
688C4—3441no—
689C4—3441no—
690C4—1721no—
691C4—1722no—
692C4—1721no—
693C4#1458314614yesdirect product factor
694C4C2×C4×D17211yescharacteristic
695C4C4×#1062190211yescharacteristic
696C4#1458341111yescharacteristic
697C4#1458343611yescharacteristic
698C2—3442no—
699C2—1722no—
700C2C4×#1306330011yescharacteristic
701C2C4×#1306334911yescharacteristic
702C2C4×#1306335711yescharacteristic
703C2C2×#1458314611yescharacteristic
704C2#1914420511yescharacteristic
705C2#1914518811yescharacteristic
706C2#1914519911yescharacteristic
subgroupG/H
centerC22×C4D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC4×#107×C43C2
socleC23×C43C22×D4
prime radicalC2×#13063300C22
cosocleC22×C4×C43C24
hypercenterC4×#107D43
hypocenterC43C4×#468
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#107

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621873C2semidirect
3. C2×C4×#10621872C2semidirect
4. C4×#13063305C2semidirect
6. #19135474C2semidirect
7. #19135334C2semidirect
8. #19135293C2semidirect
9. #19135286C2semidirect
11. #19135027C2semidirect
12. #19134629C2semidirect
13. C4×#13063248C2semidirect
14. C4×#13063245C2semidirect
15. C4×#107×C43C2semidirect
25. #14583146C4direct (N × H)
71. C2×#10621873C2×C4semidirect
77. C2×#10621872C2×C4semidirect
81. #13063305C2×C4semidirect
111. #13063248C2×C4semidirect
114. #13063245C2×C4semidirect
134. #107×C43C2×C4semidirect
135. C4×C8×C43D4semidirect
304. C8×C43C4×D4semidirect
334. C4×C43#468semidirect
357. C4×#107D43semidirect
415. C43C4×#468semidirect
472. #107C4×D43semidirect
483. C4×C8D172semidirect
660. C8C4×D172semidirect
693. C4#14583146direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145831462
C2×C4×#106218732
C2×C4×#106218722
C4×#130633052
C4×#130633002
#191354742
#191353342
#191352932
#191352862
#191350322
#191350272
#191346292
C4×#130632482
C4×#130632452
C4×#107×C432
C4×#46843