Finite Group Databasebeta

← #34020446

Subgroups — #34020446

Order 18688.

1122 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989619C211yesmaximal, characteristic
2C2×#17989616C211yesmaximal, characteristic
3C2×#17989552C211yesmaximal, characteristic, complemented
4C2×#17989551C211yesmaximal, characteristic, complemented
5#22625730C211yesmaximal, characteristic, complemented
6#22625730C211yesmaximal, characteristic, complemented
7C4×C4⋊#10596833C211yesmaximal, characteristic, complemented
8#22625673C211yesmaximal, characteristic, complemented
9#22625672C211yesmaximal, characteristic, complemented
10#22625665C211yesmaximal, characteristic, complemented
11C22⋊C4×#10596833C211yesmaximal, characteristic, complemented
12#22625661C211yesmaximal, characteristic, complemented
13#22625660C211yesmaximal, characteristic, complemented
14C4×#14556646C211yesmaximal, characteristic, complemented
15#22612391C211yesmaximal, characteristic
16C22×#11924038C2211yescharacteristic
17C22×#11924037C2211yescharacteristic
18C22×#11924036C2211yescharacteristic
19C23×#10596833C2211yescharacteristic
20#17989619C418yescomplemented
21#17989616C418yescomplemented
22C2×C4⋊#10596833C2211yescharacteristic
23C2×C4⋊#10596833C2211yescharacteristic
24C2×#14556648C2211yescharacteristic
25C2×#14556648C2211yescharacteristic
26C2×C22⋊#10596833C2211yescharacteristic
27C2×C22⋊#10596833C2211yescharacteristic
28#17989552—24no—
29#17989551—24no—
30C2×#14556646C2211yescharacteristic
31C2×#14556646C2211yescharacteristic
32C2×#14556646C2211yescharacteristic
33C2×#14556646C2211yescharacteristic
34C2×#14556646C2211yescharacteristic
35C2×#14556646C2211yescharacteristic
36C2×C4×#10596833C2211yescharacteristic
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
50C2×#14556547C2211yescharacteristic
51#17988487C411yescharacteristic
52#17988487C411yescharacteristic
53#17988484C411yescharacteristic
54#17988482C411yescharacteristic
55#17988480C411yescharacteristic
56#17988478C411yescharacteristic
57#17988476C411yescharacteristic
58#17988438C2211yescharacteristic
59C22⋊C4×Dic73C2211yescharacteristic
60#17988434C2211yescharacteristic
61C42×Dic73C2211yescharacteristic
62#388×C73C411yescharacteristic
63C2×#11924038—22no—
64C2×#11924038—22no—
65C2×#11924038C2×C414yes—
66C2×#11924037—22no—
67C2×#11924037—22no—
68C2×#11924037C2×C414yes—
69C2×#11924036—22no—
70C2×#11924036—22no—
71C2×#11924036C2×C414yes—
72C22×#10596833—22no—
73C22×#10596833—22no—
74C22×#10596833C2×C414yes—
75C22×#10596833C2311yescharacteristic
76C22×#10596833C2311yescharacteristic
77C22×#10596833C2311yescharacteristic
78C22×#10596833C2311yescharacteristic
79C22×#10596833C2311yescharacteristic
80C22×#10596833C2311yescharacteristic
81C22×#10596833C2311yescharacteristic
82C22×#10596833C2311yescharacteristic
83C4⋊#10596833C2×C414yes—
84C4⋊#10596833C2×C414yes—
85#14556648C2×C414yes—
86#14556648C2×C414yes—
87C22⋊#10596833C2×C414yes—
88C22⋊#10596833C2×C414yes—
89#14556646—22no—
90#14556646—22no—
91#14556646—22no—
92#14556646C2×C414yes—
93#14556646C2×C414yes—
94#14556646D414yescomplemented
95C4×#10596833—22no—
96C4×#10596833—22no—
97C4×#10596833—22no—
98C4×#10596833—22no—
99C4×#10596833—22no—
100C4×#10596833—22no—
101C22×C22⋊D73C2×C411yescharacteristic
102C23×Dic73C2311yescharacteristic
103C22×C4×D73C2311yescharacteristic
104#14556551C2×C414yes—
105#14556551C2×C414yes—
106#14556549—22no—
107#14556549—22no—
108#14556547—22no—
109#14556547—22no—
110C2×C4⋊Dic73C2×C411yescharacteristic
111C2×#11924007C2×C411yescharacteristic
112C2×#11924007C2×C411yescharacteristic
113C2×#11924007C2×C411yescharacteristic
114C2×#11924007C2×C411yescharacteristic
115C2×#11924007C2×C411yescharacteristic
116C2×C22⋊Dic73C2×C411yescharacteristic
117C2×C22⋊Dic73C2×C411yescharacteristic
118C2×#11924005C2×C411yescharacteristic
119C2×#11924005C2×C411yescharacteristic
120C2×#11924005C2×C411yescharacteristic
121C2×#11924005C2×C411yescharacteristic
122C2×#11924005C2×C411yescharacteristic
123C2×C4×Dic73C2×C411yescharacteristic
124C2×C4×Dic73C2×C411yescharacteristic
125C2×C4×Dic73C2×C411yescharacteristic
126C2×C4×Dic73C2311yescharacteristic
127C2×C4×Dic73C2311yescharacteristic
128C2×C4×Dic73C2311yescharacteristic
129C2×C4×Dic73C2311yescharacteristic
130C2×C4×Dic73C2311yescharacteristic
131#14556498C2×C411yescharacteristic
132#14556498C2×C411yescharacteristic
133#14556498C2×C411yescharacteristic
134#14556498C2×C411yescharacteristic
135C2×C4⋊C4×C73C2×C411yescharacteristic
136C2×C22⋊C4×C73C2×C411yescharacteristic
137C2×C22⋊C4×C73C2×C411yescharacteristic
138C2×C22⋊C4×C73C2×C411yescharacteristic
139C2×C42×C73C2×C411yescharacteristic
140#95×C73C2×C411yescharacteristic
141#95×C73C2×C411yescharacteristic
142#11924038—28no—
143#11924037—28no—
144#11924036—28no—
145C2×#10596833—21no—
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—28no—
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×Dic73C22×C411yescharacteristic
179C22×Dic73C22×C411yescharacteristic
180C22×Dic73C22×C411yescharacteristic
181C22×Dic73C22×C411yescharacteristic
182C22×Dic73C22×C412yes—
183C22×Dic73C22×C412yes—
184C22×Dic73C22×C411yescharacteristic
185C22×Dic73C22×C411yescharacteristic
186C22×Dic73C2411yescharacteristic
187C2×C4×D73—21no—
188C2×C4×D73—21no—
189C2×C4×D73—21no—
190C2×C4×D73—21no—
191C2×C4×D73C22×C412yes—
192C2×C4×D73C22×C412yes—
193C4⋊Dic73—22no—
194#11924007—22no—
195#11924007—22no—
196#11924007—41no—
197#11924007—41no—
198#11924007C4214yes—
199C22⋊Dic73—22no—
200C22⋊Dic73—22no—
201#11924005—22no—
202#11924005—22no—
203#11924005—22no—
204#11924005—22no—
205#11924005C4214yes—
206C4×Dic73—22no—
207C4×Dic73—21no—
208C4×Dic73—21no—
209C4×Dic73—21no—
210C4×Dic73—21no—
211C4×Dic73—21no—
212C4×Dic73—21no—
213C4×Dic73—41no—
214C4×Dic73—41no—
215C4×Dic73C22×C412yes—
216C4×Dic73C22×C412yes—
217C4×Dic73C2×D412yes—
218C4×Dic73#4112yes—
219C24×C73C22×C411yescharacteristic
220C22×C4×C73C22×C411yescharacteristic
221C22×C4×C73C22×C411yescharacteristic
222C22×C4×C73C22×C411yescharacteristic
223C22×C4×C73C22×C411yescharacteristic
224C22×C4×C73C22×C411yescharacteristic
225C22×C4×C73C22×C411yescharacteristic
226C4⋊C4×C73—22no—
227C22⋊C4×C73—22no—
228C22⋊C4×C73—22no—
229C22⋊C4×C73C4214yes—
230C42×C73—22no—
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×C73C2×C4212yes—
261C2×C4×C73C2×C4212yes—
262C2×C4×C73C4×D412yes—
263C2×C4×C73#13112yes—
264C22⋊D73—44no—
265C2×Dic73—21no—
266C2×Dic73—21no—
267C2×Dic73—21no—
268C2×Dic73—21no—
269C2×Dic73—21no—
270C2×Dic73—21no—
271C2×Dic73—21no—
272C2×Dic73—21no—
273C2×Dic73—22no—
274C2×Dic73—22no—
275C2×Dic73—22no—
276C2×Dic73—22no—
277C2×Dic73—21no—
278C2×Dic73—21no—
279C2×Dic73—21no—
280C2×Dic73—21no—
281C2×Dic73—21no—
282C2×Dic73—21no—
283C2×Dic73C2×C4212yes—
284C2×Dic73C2×C4212yes—
285C2×Dic73C4×D412yes—
286C2×Dic73#13112yes—
287C2×Dic73C23×C411yescharacteristic
288C2×Dic73C23×C411yescharacteristic
289C2×Dic73C22×D411yescharacteristic
290C2×Dic73C2×#4111yescharacteristic
291C2×Dic73C2×#4111yescharacteristic
292C2×Dic73C2×#4111yescharacteristic
293C4×D73—22no—
294C4×D73—22no—
295C4×D73—22no—
296C4×D73—22no—
297#10596833—22no—
298#10596833—22no—
299#10596833—22no—
300#10596833—22no—
301#10596833—22no—
302#10596833—22no—
303#10596833C4×D414yes—
304#10596833C4×D414yes—
305C22×C73—22no—
306C22×C73—22no—
307C22×C73—22no—
308C22×C73—41no—
309C22×C73—41no—
310C22×C73—41no—
311C22×C73—41no—
312C22×C73C22×C4211yescharacteristic
313C22×C73C2×C4×D411yescharacteristic
314C22×C73C4×#4111yescharacteristic
315C22×C73C2×#13111yescharacteristic
316C22×C73C2×#13111yescharacteristic
317C22×C73#56811yescharacteristic
318C22×C73#56811yescharacteristic
319C2×D73—22no—
320C2×D73—22no—
321C2×D73—22no—
322C2×D73—41no—
323C2×D73—41no—
324C2×D73—41no—
325C2×D73—41no—
326C4×C73—22no—
327C4×C73—22no—
328C4×C73—22no—
329C4×C73—22no—
330C4×C73—41no—
331C4×C73—41no—
332Dic73—22no—
333Dic73—22no—
334Dic73—22no—
335Dic73—22no—
336Dic73—41no—
337Dic73—41no—
338Dic73C2×C4×D411yescharacteristic
339Dic73C2×C4×D411yescharacteristic
340Dic73C4×#4111yescharacteristic
341Dic73C4×#4111yescharacteristic
342#20492—731nomaximal, Sylow
343C2×C73—42no—
344C2×C73C42×D411yescharacteristic
345C2×C73#287311yescharacteristic
346C2×C73C4×#13111yescharacteristic
347C2×C73#293511yescharacteristic
348C2×C73#293511yescharacteristic
349C2×C73#296811yescharacteristic
350C2×C73#296811yescharacteristic
351D73—42no—
352C2×#435—731no—
353C2×#435—731no—
354C2×#405—731no—
355C2×#405—731no—
356#2293—731no—
357#1771—731no—
358#1771—731no—
359C4×C4⋊C8—731no—
360#1753—731no—
361#1753—731no—
362C8×C22⋊C4—731no—
363C8×C22⋊C4—731no—
364#1750—731no—
365#1750—731no—
366C4×#97—731no—
367C73#2049211yescharacteristic, complemented, Sylow
368C22×M16—731no—
369C22×M16—731no—
370C23×C8—731no—
371C23×C8—731no—
372C2×C4×D4—731no—
373C2×#117—731no—
374C2×#117—731no—
375#435—738no—
376#435—738no—
377C2×C4⋊C8—731no—
378C2×C4⋊C8—731no—
379C2×C22⋊C8—731no—
380C2×C22⋊C8—731no—
381C2×C22⋊C8—731no—
382C2×C22⋊C8—731no—
383#405—1464no—
384#405—1464no—
385C2×#97—731no—
386C2×#97—731no—
387C2×#97—731no—
388C2×#97—731no—
389C2×#97—731no—
390C2×#97—731no—
391C2×C4×C8—731no—
392C2×C4×C8—731no—
393C2×C4×C8—731no—
394C2×C4×C8—731no—
395C2×C4×C8—731no—
396C2×C4×C8—731no—
397#390—731no—
398#390—731no—
399#389—731no—
400#389—731no—
401#388—731no—
402#388—731no—
403#388—731no—
404#388#6440811yescharacteristic
405C4×C4⋊C4—731no—
406C4×C22⋊C4—731no—
407C4×C22⋊C4—731no—
408C43—731no—
409#336—731no—
410#336—731no—
411#336—731no—
412#336—731no—
413#336—731no—
414#336—731no—
415C22×D4—731no—
416C23×C4—731no—
417C23×C4—731no—
418C2×M16—734no—
419C2×M16—734no—
420C2×M16—1462no—
421C2×M16—1462no—
422C2×M16—1462no—
423C2×M16—1462no—
424C22×C8—731no—
425C22×C8—731no—
426C22×C8—734no—
427C22×C8—731no—
428C22×C8—731no—
429C22×C8—731no—
430C22×C8—731no—
431C22×C8—731no—
432C22×C8—731no—
433C22×C8—734no—
434C22×C8—1462no—
435C22×C8—1462no—
436C22×C8—1462no—
437C22×C8—1462no—
438C4×D4—734no—
439C4×D4—734no—
440#117—1462no—
441#117—1462no—
442#117—1462no—
443#117—1462no—
444C2×C4⋊C4—731no—
445C2×C4⋊C4—731no—
446C2×C4⋊C4—731no—
447C2×C4⋊C4—731no—
448C2×C4⋊C4—731no—
449C2×C4⋊C4—731no—
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⋊C4—731no—
458C2×C22⋊C4C2×#6440811yescharacteristic
459C2×C22⋊C4C2×#6440811yescharacteristic
460C2×C22⋊C4C2×#6440811yescharacteristic
461C2×C42—731no—
462C2×C42—731no—
463C2×C42—731no—
464C2×C42—731no—
465C2×C42—731no—
466C2×C42—731no—
467C2×C42—731no—
468C2×C42—731no—
469C2×C42C2×#6440811yescharacteristic
470C4⋊C8—734no—
471C4⋊C8—734no—
472C22⋊C8—734no—
473C22⋊C8—734no—
474C22⋊C8—734no—
475C22⋊C8—734no—
476#97—734no—
477#97—734no—
478#97—734no—
479#97—1462no—
480#97—1462no—
481#97—1462no—
482C4×C8—1462no—
483C4×C8—1462no—
484C4×C8—1462no—
485C4×C8—1462no—
486C4×C8—1462no—
487C4×C8—1462no—
488#95—731no—
489#95—731no—
490#95—731no—
491#95—731no—
492#95C2×#6440811yescharacteristic
493#95C2×#6440811yescharacteristic
494C24—731no—
495C24C22×#6440811yescharacteristic
496C2×D4—2921no—
497C2×D4—2921no—
498C2×D4—734no—
499C22×C4—731no—
500C22×C4—731no—
501C22×C4—731no—
502C22×C4—731no—
503C22×C4—731no—
504C22×C4—732no—
505C22×C4—732no—
506C22×C4—732no—
507C22×C4—732no—
508C22×C4—731no—
509C22×C4—731no—
510C22×C4—1461no—
511C22×C4—1461no—
512C22×C4—1461no—
513C22×C4—1461no—
514C22×C4—1461no—
515C22×C4—1461no—
516C22×C4—1461no—
517C22×C4—1461no—
518C22×C4C22×#6440811yescharacteristic
519C22×C4C22×#6440811yescharacteristic
520C22×C4C22×#6440811yescharacteristic
521C22×C4C22×#6440811yescharacteristic
522C22×C4C22×#6440811yescharacteristic
523C22×C4C22×#6440811yescharacteristic
524M16—1468no—
525M16—1468no—
526C2×C8—732no—
527C2×C8—732no—
528C2×C8—732no—
529C2×C8—732no—
530C2×C8—732no—
531C2×C8—732no—
532C2×C8—732no—
533C2×C8—732no—
534C2×C8—732no—
535C2×C8—732no—
536C2×C8—732no—
537C2×C8—732no—
538C2×C8—1468no—
539C2×C8—1468no—
540C2×C8—1461no—
541C2×C8—1461no—
542C2×C8—1461no—
543C2×C8—1461no—
544C2×C8—1461no—
545C2×C8—1461no—
546C2×C8—1461no—
547C2×C8—1461no—
548C2×C8—1461no—
549C2×C8—1461no—
550C2×C8—1461no—
551C2×C8—1461no—
552C4⋊C4—22no—
553C4⋊C4—2921no—
554C4⋊C4—2921no—
555C4⋊C4—734no—
556C4⋊C4—1462no—
557C4⋊C4—1462no—
558C4⋊C4—1462no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—734no—
562C22⋊C4—1462no—
563C22⋊C4—1462no—
564C22⋊C4—1462no—
565C22⋊C4—1462no—
566C22⋊C4—1462no—
567C22⋊C4—1462no—
568C22⋊C4C4×#6440814yes—
569C42—22no—
570C42—2921no—
571C42—2921no—
572C42—732no—
573C42—732no—
574C42—732no—
575C42—732no—
576C42—1461no—
577C42—1461no—
578C42—1461no—
579C42—1461no—
580C42—1462no—
581C42—1461no—
582C42—1461no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—732no—
590C23—1461no—
591C23—1461no—
592C23—1461no—
593C23—1461no—
594C23—1461no—
595C23—1461no—
596C23C2×C4×#6440812yes—
597C23C23×#6440811yescharacteristic
598D4—2924no—
599C2×C4—21no—
600C2×C4—21no—
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—731no—
614C2×C4—731no—
615C2×C4—731no—
616C2×C4—731no—
617C2×C4—731no—
618C2×C4—731no—
619C2×C4—732no—
620C2×C4—732no—
621C2×C4—732no—
622C2×C4—732no—
623C2×C4—1462no—
624C2×C4—1462no—
625C2×C4—1462no—
626C2×C4—1462no—
627C2×C4—1461no—
628C2×C4—1461no—
629C2×C4—1461no—
630C2×C4—1461no—
631C2×C4—1461no—
632C2×C4—1461no—
633C2×C4—1462no—
634C2×C4—1462no—
635C2×C4—1462no—
636C2×C4—1462no—
637C2×C4—1461no—
638C2×C4—1461no—
639C2×C4—1461no—
640C2×C4—1461no—
641C2×C4—1461no—
642C2×C4—1461no—
643C2×C4—1461no—
644C2×C4—1461no—
645C2×C4C2×C4×#6440812yes—
646C2×C4C2×C4×#6440812yes—
647C2×C4D4×#6440812yes—
648C2×C4#1455667812yes—
649C8—734no—
650C8—734no—
651C8—1462no—
652C8—1462no—
653C8—1462no—
654C8—1462no—
655C8—1462no—
656C8—1462no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—41no—
661C22—41no—
662C22—41no—
663C22—41no—
664C22—2921no—
665C22—2921no—
666C22—2921no—
667C22—2921no—
668C22—1462no—
669C22—1462no—
670C22—1462no—
671C22C22×C4×#6440811yescharacteristic
672C22C2×D4×#6440811yescharacteristic
673C22#41×#6440811yescharacteristic
674C22C2×#1455667811yescharacteristic
675C22D73⋊#13111yescharacteristic
676C22#1798966611yescharacteristic
677C22#1798966611yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—22no—
682C4—41no—
683C4—41no—
684C4—2921no—
685C4—2921no—
686C4—731no—
687C4—731no—
688C4—731no—
689C4—731no—
690C4—1462no—
691C4—1462no—
692C4—1462no—
693C4—1462no—
694C2—42no—
695C2—2922no—
696C2C4×D4×#6440811yescharacteristic
697C2#2262649611yescharacteristic
698C2C4×#1455667811yescharacteristic
699C2#2262667311yescharacteristic
700C2#2262667611yescharacteristic
701C2#2262675811yescharacteristic
702C2#2262676111yescharacteristic
subgroupG/H
center, FrattiniC23C23×#64408
commutatorC22×C73C22×C42
Fitting#388×C73C4
socleC23×C73C23×C4
prime radicalC22×C22⋊D73C2×C4
cosocleC22×Dic73C24
hypercenter#388#64408
hypocenterC73#20492
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ #388

Complements

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

NH ≅ G/Ntype
3. C2×#17989552C2semidirect
4. C2×#17989551C2semidirect
5. #22625730C2semidirect
6. #22625730C2semidirect
7. C4×C4⋊#10596833C2semidirect
8. #22625673C2semidirect
9. #22625672C2semidirect
10. #22625665C2semidirect
11. C22⋊C4×#10596833C2semidirect
12. #22625661C2semidirect
13. #22625660C2semidirect
14. C4×#14556646C2semidirect
20. #17989619C4semidirect
21. #17989616C4semidirect
94. #14556646D4semidirect
367. C73#20492semidirect

Maximal subgroups

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

subgroupindex
C2×#179896192
C2×#179896162
C2×#179895522
C2×#179895512
#226257302
C4×C4⋊#105968332
#226256732
#226256722
#226256652
C22⋊C4×#105968332
#226256612
#226256602
C4×#145566462
#226123912
#2049273