Finite Group Databasebeta

← #34020423

Subgroups — #34020423

Order 18688.

1118 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×#17989620C211yesmaximal, characteristic
2C2×#17989619C211yesmaximal, characteristic
3C2×#17989552C211yesmaximal, characteristic, complemented
4C2×C4×#11924037C211yesmaximal, characteristic, complemented
5#22625731C211yesmaximal, characteristic, complemented
6#22625727C211yesmaximal, characteristic, complemented
7#22625719C211yesmaximal, characteristic, complemented
8#22625673C211yesmaximal, characteristic, complemented
9#22625673C211yesmaximal, characteristic, complemented
10#22625672C211yesmaximal, characteristic, complemented
11#22625669C211yesmaximal, characteristic, complemented
12#22625660C211yesmaximal, characteristic, complemented
13#22625657C211yesmaximal, characteristic, complemented
14#22625588C211yesmaximal, characteristic, complemented
15#22612367C211yesmaximal, characteristic
16C22×#11924038C2211yescharacteristic
17C22×#11924037C2211yescharacteristic
18C22×#11924037C2211yescharacteristic
19C22×#11924036C2211yescharacteristic
20#17989620C418yescomplemented
21#17989619C418yescomplemented
22C2×#14556658C2211yescharacteristic
23C2×C4⋊#10596833C2211yescharacteristic
24C2×#14556648C2211yescharacteristic
25C2×#14556648C2211yescharacteristic
26C2×C22⋊#10596833C2211yescharacteristic
27C2×C22⋊#10596833C2211yescharacteristic
28#17989552—24no—
29C4×#11924037—24no—
30C2×#14556646C2211yescharacteristic
31C2×#14556646C2211yescharacteristic
32C2×#14556646C2211yescharacteristic
33C2×#14556646C2211yescharacteristic
34C2×#14556646C2211yescharacteristic
35C2×#14556646C2211yescharacteristic
36C2×#14556646C2211yescharacteristic
37C2×C4×#10596833C2211yescharacteristic
38C2×C4×#10596833C2211yescharacteristic
39C2×C4×#10596833C2211yescharacteristic
40C2×C4×#10596833C2211yescharacteristic
41C2×C4×#10596833C2211yescharacteristic
42#17989453C2211yescharacteristic
43#17989453C2211yescharacteristic
44#17989453C2211yescharacteristic
45#17989453C2211yescharacteristic
46#17989453C2211yescharacteristic
47#17989453C2211yescharacteristic
48C2×#14556551C2211yescharacteristic
49C2×#14556549C2211yescharacteristic
50C22×C4×Dic73C2211yescharacteristic
51#17988479C411yescharacteristic
52#17988477C411yescharacteristic
53#17988474C411yescharacteristic
54#17988468C411yescharacteristic
55#17988466C411yescharacteristic
56#17988464C411yescharacteristic
57#17988462C411yescharacteristic
58C4⋊C4×Dic73C2211yescharacteristic
59C22⋊C4×Dic73C2211yescharacteristic
60#17988434C2211yescharacteristic
61#17988432C2211yescharacteristic
62#385×C73C411yescharacteristic
63C2×#11924038—22no—
64C2×#11924038—22no—
65C2×#11924038C2×C414yescomplemented
66C2×#11924037—22no—
67C2×#11924037—22no—
68C2×#11924037—22no—
69C2×#11924037—22no—
70C2×#11924037C2×C414yes—
71C2×#11924037C2×C414yes—
72C2×#11924036—22no—
73C2×#11924036—22no—
74C2×#11924036C2×C414yescomplemented
75C22×#10596833C2311yescharacteristic
76C22×#10596833C2311yescharacteristic
77C22×#10596833C2311yescharacteristic
78C22×#10596833C2311yescharacteristic
79C22×#10596833C2311yescharacteristic
80C22×#10596833C2311yescharacteristic
81C22×#10596833C2311yescharacteristic
82C22×#10596833C2311yescharacteristic
83#14556658C2×C414yescomplemented
84C4⋊#10596833C2×C414yescomplemented
85#14556648C2×C414yescomplemented
86#14556648C2×C414yescomplemented
87C22⋊#10596833C2×C414yes—
88C22⋊#10596833C2×C414yes—
89#14556646—22no—
90#14556646—22no—
91#14556646—22no—
92#14556646—22no—
93#14556646—22no—
94#14556646—22no—
95#14556646C2×C414yescomplemented
96C4×#10596833—22no—
97C4×#10596833—22no—
98C4×#10596833—22no—
99C4×#10596833C2×C414yescomplemented
100C4×#10596833D414yescomplemented
101C22×C22⋊D73C2×C411yescharacteristic
102C23×Dic73C2×C411yescharacteristic
103C23×Dic73C2311yescharacteristic
104C22×C4×D73C2311yescharacteristic
105#14556551C2×C414yes—
106#14556551C2×C414yes—
107#14556549—22no—
108#14556549—22no—
109C2×C4⋊Dic73C2×C411yescharacteristic
110C2×C4⋊Dic73C2×C411yescharacteristic
111C2×#11924007C2×C411yescharacteristic
112C2×C22⋊Dic73C2×C411yescharacteristic
113C2×#11924005C2×C411yescharacteristic
114C2×#11924005C2×C411yescharacteristic
115C2×#11924005C2×C411yescharacteristic
116C2×#11924005C2×C411yescharacteristic
117C2×#11924005C2×C411yescharacteristic
118C2×C4×Dic73—22no—
119C2×C4×Dic73—22no—
120C2×C4×Dic73C2×C411yescharacteristic
121C2×C4×Dic73C2×C411yescharacteristic
122C2×C4×Dic73C2311yescharacteristic
123C2×C4×Dic73C2311yescharacteristic
124C2×C4×Dic73C2311yescharacteristic
125C2×C4×Dic73C2311yescharacteristic
126C2×C4×Dic73C2311yescharacteristic
127#14556498C2×C411yescharacteristic
128#14556498C2×C411yescharacteristic
129#14556498C2×C411yescharacteristic
130#14556498C2×C411yescharacteristic
131#14556498C2×C411yescharacteristic
132#14556498C2×C411yescharacteristic
133#14556498C2×C411yescharacteristic
134#14556498C2×C411yescharacteristic
135C23×C4×C73C2×C411yescharacteristic
136C2×C4⋊C4×C73C2×C411yescharacteristic
137C2×C4⋊C4×C73C2×C411yescharacteristic
138C2×C22⋊C4×C73C2×C411yescharacteristic
139C2×C22⋊C4×C73C2×C411yescharacteristic
140#95×C73C2×C411yescharacteristic
141#95×C73C2×C411yescharacteristic
142#11924038—28no—
143#11924037—28no—
144#11924037—28no—
145#11924036—28no—
146C2×#10596833—21no—
147C2×#10596833—21no—
148C2×#10596833—21no—
149C2×#10596833—21no—
150C2×#10596833—21no—
151C2×#10596833—21no—
152C2×#10596833—21no—
153C2×#10596833—21no—
154C2×#10596833—21no—
155C2×#10596833—21no—
156C2×#10596833—21no—
157C2×#10596833—21no—
158C2×#10596833C22×C412yes—
159C2×#10596833C22×C412yes—
160C2×#10596833C22×C412yes—
161C2×#10596833C22×C412yes—
162C2×#10596833C22×C412yes—
163C2×#10596833C22×C412yes—
164C2×#10596833C22×C412yes—
165C2×#10596833C22×C412yes—
166C2×#10596833C2×D412yes—
167C2×#10596833C2×D412yes—
168C2×#10596833#4112yes—
169C2×#10596833#4112yes—
170C23×D73C22×C411yescharacteristic
171C2×C22⋊D73—41no—
172C2×C22⋊D73—41no—
173C2×C22⋊D73C4214yes—
174C22×Dic73—21no—
175C22×Dic73—21no—
176C22×Dic73—21no—
177C22×Dic73—21no—
178C22×Dic73—22no—
179C22×Dic73—41no—
180C22×Dic73—41no—
181C22×Dic73C22×C411yescharacteristic
182C22×Dic73C22×C411yescharacteristic
183C22×Dic73C22×C411yescharacteristic
184C22×Dic73C22×C411yescharacteristic
185C22×Dic73C22×C411yescharacteristic
186C22×Dic73C22×C412yes—
187C22×Dic73C22×C412yes—
188C22×Dic73C22×C411yescharacteristic
189C22×Dic73C2411yescharacteristic
190C2×C4×D73—21no—
191C2×C4×D73—21no—
192C2×C4×D73—21no—
193C2×C4×D73—21no—
194C2×C4×D73C22×C412yes—
195C2×C4×D73C22×C412yes—
196C4⋊Dic73—22no—
197C4⋊Dic73—41no—
198#11924007C4214yes—
199C22⋊Dic73—41no—
200#11924005—22no—
201#11924005—22no—
202#11924005—41no—
203#11924005—41no—
204#11924005C4214yes—
205C4×Dic73—22no—
206C4×Dic73—22no—
207C4×Dic73—21no—
208C4×Dic73—21no—
209C4×Dic73—21no—
210C4×Dic73—21no—
211C4×Dic73—21no—
212C4×Dic73—21no—
213C4×Dic73C22×C412yes—
214C4×Dic73C22×C412yes—
215C4×Dic73C2×D412yes—
216C4×Dic73#4112yes—
217C24×C73C22×C411yescharacteristic
218C22×C4×C73—22no—
219C22×C4×C73—41no—
220C22×C4×C73—41no—
221C22×C4×C73C22×C411yescharacteristic
222C22×C4×C73C22×C411yescharacteristic
223C22×C4×C73C22×C411yescharacteristic
224C22×C4×C73C22×C411yescharacteristic
225C22×C4×C73C22×C411yescharacteristic
226C22×C4×C73C22×C411yescharacteristic
227C4⋊C4×C73—22no—
228C4⋊C4×C73—41no—
229C22⋊C4×C73—41no—
230C22⋊C4×C73C4214yes—
231C23×C73—21no—
232C23×C73—21no—
233C23×C73—21no—
234C23×C73—21no—
235C23×C73—21no—
236C23×C73—21no—
237C23×C73C2×C4212yes—
238C23×C73C23×C411yescharacteristic
239C22×D73—21no—
240C22×D73—21no—
241C22×D73—21no—
242C22×D73—21no—
243C22×D73—21no—
244C22×D73—21no—
245C22×D73C2×C4212yes—
246C2×C4×C73—21no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—21no—
252C2×C4×C73—21no—
253C2×C4×C73—21no—
254C2×C4×C73—21no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—21no—
258C2×C4×C73—21no—
259C2×C4×C73—21no—
260C2×C4×C73—21no—
261C2×C4×C73—44no—
262C2×C4×C73C2×C4212yes—
263C2×C4×C73C2×C4212yes—
264C2×C4×C73C4×D412yes—
265C22⋊D73—44no—
266C2×Dic73—21no—
267C2×Dic73—21no—
268C2×Dic73—21no—
269C2×Dic73—21no—
270C2×Dic73—21no—
271C2×Dic73—21no—
272C2×Dic73—22no—
273C2×Dic73—22no—
274C2×Dic73—22no—
275C2×Dic73—22no—
276C2×Dic73—21no—
277C2×Dic73—21no—
278C2×Dic73—21no—
279C2×Dic73—21no—
280C2×Dic73—21no—
281C2×Dic73—21no—
282C2×Dic73—21no—
283C2×Dic73—21no—
284C2×Dic73—21no—
285C2×Dic73—44no—
286C2×Dic73C2×C4212yes—
287C2×Dic73C2×C4212yes—
288C2×Dic73C4×D412yes—
289C2×Dic73C23×C411yescharacteristic
290C2×Dic73C23×C411yescharacteristic
291C2×Dic73C22×D411yescharacteristic
292C2×Dic73C2×#4111yescharacteristic
293C2×Dic73C2×#4111yescharacteristic
294C2×Dic73C2×#4111yescharacteristic
295C4×D73—22no—
296C4×D73—22no—
297C4×D73—22no—
298C4×D73—22no—
299#10596833—22no—
300#10596833—22no—
301#10596833—22no—
302#10596833—22no—
303#10596833—22no—
304#10596833—22no—
305#10596833C4×D414yes—
306#10596833C4×D414yes—
307C22×C73—22no—
308C22×C73—22no—
309C22×C73—22no—
310C22×C73—41no—
311C22×C73—41no—
312C22×C73—41no—
313C22×C73—41no—
314C22×C73C22×C4211yescharacteristic
315C22×C73C2×C4×D411yescharacteristic
316C22×C73C4×#4111yescharacteristic
317C22×C73#56811yescharacteristic
318C22×C73#56811yescharacteristic
319C22×C73#56811yescharacteristic
320C22×C73#56811yescharacteristic
321C2×D73—22no—
322C2×D73—22no—
323C2×D73—22no—
324C2×D73—41no—
325C2×D73—41no—
326C2×D73—41no—
327C2×D73—41no—
328C4×C73—22no—
329C4×C73—22no—
330C4×C73—22no—
331C4×C73—41no—
332C4×C73—41no—
333C4×C73—41no—
334Dic73—22no—
335Dic73—22no—
336Dic73—22no—
337Dic73—41no—
338Dic73—41no—
339Dic73—41no—
340Dic73C2×C4×D411yescharacteristic
341Dic73C2×C4×D411yescharacteristic
342Dic73C4×#4111yescharacteristic
343Dic73C4×#4111yescharacteristic
344#20487—731nomaximal, Sylow
345C2×C73—42no—
346C2×C73C42×D411yescharacteristic
347C2×C73#287311yescharacteristic
348C2×C73#287511yescharacteristic
349C2×C73#293011yescharacteristic
350C2×C73#293011yescharacteristic
351C2×C73#296711yescharacteristic
352C2×C73#296711yescharacteristic
353D73—42no—
354C2×#436—731no—
355C2×#435—731no—
356C2×#405—731no—
357C2×C4×M16—731no—
358#2290—731no—
359#1771—731no—
360#1770—731no—
361#1768—731no—
362#1753—731no—
363#1753—731no—
364#1753—731no—
365#1752—731no—
366#1750—731no—
367#1749—731no—
368#1726—731no—
369C73#2048711yescharacteristic, complemented, Sylow
370C22×M16—731no—
371C22×M16—731no—
372C22×M16—731no—
373C23×C8—731no—
374C2×C4×D4—731no—
375C2×#117—731no—
376C22×C42—731no—
377#436—738no—
378#435—738no—
379C2×C4⋊C8—731no—
380C2×C4⋊C8—731no—
381C2×C22⋊C8—731no—
382C2×C22⋊C8—731no—
383C2×C22⋊C8—731no—
384C2×C22⋊C8—731no—
385#405—1464no—
386C4×M16—1464no—
387C2×#97—731no—
388C2×#97—731no—
389C2×#97—731no—
390C2×#97—731no—
391C2×#97—731no—
392C2×#97—731no—
393C2×#97—731no—
394C2×C4×C8—731no—
395C2×C4×C8—731no—
396C2×C4×C8—731no—
397C2×C4×C8—731no—
398C2×C4×C8—731no—
399#388—731no—
400#388—731no—
401#387—731no—
402#387—731no—
403#386—731no—
404#386—731no—
405#385—731no—
406#385#6440811yescharacteristic
407C4×C4⋊C4—731no—
408C4×C22⋊C4—731no—
409C4×C22⋊C4—731no—
410#376—731no—
411#336—731no—
412#336—731no—
413#336—731no—
414#336—731no—
415#336—731no—
416#336—731no—
417C22×D4—731no—
418C23×C4—731no—
419C23×C4—731no—
420C23×C4—731no—
421C23×C4C2×#6440811yescharacteristic
422C2×M16—734no—
423C2×M16—734no—
424C2×M16—734no—
425C2×M16—1462no—
426C2×M16—1462no—
427C2×M16—1462no—
428C2×M16—1462no—
429C2×M16—1462no—
430C2×M16—1462no—
431C22×C8—731no—
432C22×C8—731no—
433C22×C8—731no—
434C22×C8—731no—
435C22×C8—731no—
436C22×C8—731no—
437C22×C8—731no—
438C22×C8—731no—
439C22×C8—734no—
440C22×C8—1462no—
441C22×C8—1462no—
442C4×D4—734no—
443C4×D4—734no—
444#117—1462no—
445#117—1462no—
446C2×C4⋊C4—731no—
447C2×C4⋊C4—731no—
448C2×C4⋊C4—731no—
449C2×C4⋊C4C2×#6440811yescharacteristic
450C2×C4⋊C4C2×#6440811yescharacteristic
451C2×C22⋊C4—731no—
452C2×C22⋊C4—731no—
453C2×C22⋊C4—731no—
454C2×C22⋊C4—731no—
455C2×C22⋊C4—731no—
456C2×C22⋊C4—731no—
457C2×C22⋊C4C2×#6440811yescharacteristic
458C2×C22⋊C4C2×#6440811yescharacteristic
459C2×C42—731no—
460C2×C42—731no—
461C2×C42—731no—
462C2×C42—731no—
463C2×C42—731no—
464C2×C42—731no—
465C2×C42—731no—
466C2×C42—1462no—
467C2×C42—1462no—
468C4⋊C8—734no—
469C4⋊C8—734no—
470C22⋊C8—734no—
471C22⋊C8—734no—
472C22⋊C8—734no—
473C22⋊C8—734no—
474#97—734no—
475#97—1462no—
476#97—1462no—
477#97—1462no—
478#97—1462no—
479#97—1462no—
480#97—1462no—
481C4×C8—734no—
482C4×C8—734no—
483C4×C8—1462no—
484C4×C8—1462no—
485C4×C8—1462no—
486#95—731no—
487#95—731no—
488#95—731no—
489#95—731no—
490#95—731no—
491#95—731no—
492#95—731no—
493#95—731no—
494#95C2×#6440811yescharacteristic
495#95C2×#6440811yescharacteristic
496C24—731no—
497C24C22×#6440811yescharacteristic
498C2×D4—2921no—
499C2×D4—2921no—
500C2×D4—734no—
501C22×C4—22no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—2921no—
505C22×C4—2921no—
506C22×C4—731no—
507C22×C4—731no—
508C22×C4—731no—
509C22×C4—731no—
510C22×C4—732no—
511C22×C4—732no—
512C22×C4—732no—
513C22×C4—732no—
514C22×C4—731no—
515C22×C4—731no—
516C22×C4—731no—
517C22×C4—1461no—
518C22×C4—1461no—
519C22×C4—1461no—
520C22×C4—1461no—
521C22×C4—1462no—
522C22×C4—1461no—
523C22×C4—1461no—
524C22×C4—1461no—
525C22×C4—1461no—
526C22×C4C22×#6440811yescharacteristic
527C22×C4C22×#6440811yescharacteristic
528C22×C4C22×#6440811yescharacteristic
529C22×C4C22×#6440811yescharacteristic
530C22×C4C22×#6440811yescharacteristic
531C22×C4C22×#6440811yescharacteristic
532M16—1468no—
533M16—1468no—
534M16—1468no—
535C2×C8—732no—
536C2×C8—732no—
537C2×C8—732no—
538C2×C8—732no—
539C2×C8—732no—
540C2×C8—732no—
541C2×C8—732no—
542C2×C8—732no—
543C2×C8—732no—
544C2×C8—732no—
545C2×C8—732no—
546C2×C8—732no—
547C2×C8—1468no—
548C2×C8—1461no—
549C2×C8—1461no—
550C2×C8—1461no—
551C2×C8—1461no—
552C2×C8—1461no—
553C2×C8—1461no—
554C2×C8—1461no—
555C2×C8—1461no—
556C2×C8—1461no—
557C2×C8—1461no—
558C2×C8—1461no—
559C2×C8—1461no—
560C4⋊C4—22no—
561C4⋊C4—41no—
562C4⋊C4—2921no—
563C4⋊C4—734no—
564C4⋊C4—1462no—
565C22⋊C4—41no—
566C22⋊C4—2921no—
567C22⋊C4—2921no—
568C22⋊C4—2921no—
569C22⋊C4—734no—
570C22⋊C4—1462no—
571C22⋊C4—1462no—
572C22⋊C4C4×#6440814yes—
573C42—732no—
574C42—732no—
575C42—732no—
576C42—732no—
577C42—1461no—
578C42—1461no—
579C42—1461no—
580C42—1461no—
581C42—1461no—
582C42—1462no—
583C42—1461no—
584C42—1462no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—732no—
592C23—1461no—
593C23—1461no—
594C23—1461no—
595C23—1461no—
596C23—1461no—
597C23—1461no—
598C23C2×C4×#6440812yes—
599C23C23×#6440811yescharacteristic
600D4—2924no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—44no—
617C2×C4—2924no—
618C2×C4—731no—
619C2×C4—731no—
620C2×C4—731no—
621C2×C4—731no—
622C2×C4—731no—
623C2×C4—731no—
624C2×C4—732no—
625C2×C4—732no—
626C2×C4—732no—
627C2×C4—1462no—
628C2×C4—1462no—
629C2×C4—1462no—
630C2×C4—1462no—
631C2×C4—1461no—
632C2×C4—1461no—
633C2×C4—1461no—
634C2×C4—1461no—
635C2×C4—1461no—
636C2×C4—1461no—
637C2×C4—1461no—
638C2×C4—1461no—
639C2×C4—1461no—
640C2×C4—1462no—
641C2×C4—1462no—
642C2×C4—1462no—
643C2×C4—1462no—
644C2×C4—1461no—
645C2×C4—1461no—
646C2×C4—1461no—
647C2×C4—1461no—
648C2×C4—1461no—
649C2×C4—1461no—
650C2×C4C2×C4×#6440812yes—
651C2×C4C2×C4×#6440812yes—
652C2×C4D4×#6440812yes—
653C8—734no—
654C8—734no—
655C8—1462no—
656C8—1462no—
657C8—1462no—
658C8—1462no—
659C8—1462no—
660C8—1462no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—2921no—
669C22—2921no—
670C22—2921no—
671C22—2921no—
672C22—1462no—
673C22—1462no—
674C22—1462no—
675C22C22×C4×#6440811yescharacteristic
676C22C2×D4×#6440811yescharacteristic
677C22#41×#6440811yescharacteristic
678C22#1798966511yescharacteristic
679C22#1798966511yescharacteristic
680C22#1798966611yescharacteristic
681C22#1798966711yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—41no—
686C4—41no—
687C4—41no—
688C4—2921no—
689C4—2921no—
690C4—2921no—
691C4—731no—
692C4—731no—
693C4—731no—
694C4—731no—
695C4—1462no—
696C4—1462no—
697C4—1462no—
698C2—42no—
699C2—2922no—
700C2C4×D4×#6440811yescharacteristic
701C2#2262649711yescharacteristic
702C2#2262650211yescharacteristic
703C2#2262665011yescharacteristic
704C2#2262665111yescharacteristic
705C2#2262675211yescharacteristic
706C2#2262675311yescharacteristic
subgroupG/H
center, FrattiniC23C23×#64408
commutatorC22×C73C22×C42
Fitting#385×C73C4
socleC23×C73C23×C4
prime radicalC22×C22⋊D73C2×C4
cosocleC22×Dic73C24
hypercenter#385#64408
hypocenterC73#20487
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ #385

Complements

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

NH ≅ G/Ntype
3. C2×#17989552C2semidirect
4. C2×C4×#11924037C2semidirect
5. #22625731C2semidirect
6. #22625727C2semidirect
7. #22625719C2semidirect
8. #22625673C2semidirect
9. #22625673C2semidirect
10. #22625672C2semidirect
11. #22625669C2semidirect
12. #22625660C2semidirect
13. #22625657C2semidirect
14. #22625588C2semidirect
20. #17989620C4semidirect
21. #17989619C4semidirect
65. C2×#11924038C2×C4semidirect
74. C2×#11924036C2×C4semidirect
83. #14556658C2×C4semidirect
84. C4⋊#10596833C2×C4semidirect
85. #14556648C2×C4semidirect
86. #14556648C2×C4semidirect
95. #14556646C2×C4semidirect
99. C4×#10596833C2×C4semidirect
100. C4×#10596833D4semidirect
369. C73#20487semidirect

Maximal subgroups

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

subgroupindex
C2×#179896202
C2×#179896192
C2×#179895522
C2×C4×#119240372
#226257312
#226257272
#226257192
#226256732
#226256722
#226256692
#226256602
#226256572
#226255882
#226123672
#2048773