Finite Group Databasebeta

← #34020732

Subgroups — #34020732

Order 18688.

990 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989620C211yesmaximal, characteristic
2C2×#17989619C211yesmaximal, characteristic
3#22625731C211yesmaximal, characteristic, complemented
4C4⋊C4×#10596833C211yesmaximal, characteristic, complemented
5#22625719C211yesmaximal, characteristic, complemented
6#22625673C211yesmaximal, characteristic, complemented
7#22625673C211yesmaximal, characteristic, complemented
8#22625672C211yesmaximal, characteristic, complemented
9#22625665C211yesmaximal, characteristic, complemented
10#22625660C211yesmaximal, characteristic, complemented
11C4×C22⋊#10596833C211yesmaximal, characteristic, complemented
12#22625650C211yesmaximal, characteristic, complemented
13#22625598C211yesmaximal, characteristic, complemented
14#22625594C211yesmaximal, 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
28C2×#14556646C2211yescharacteristic
29C2×#14556646C2211yescharacteristic
30C2×#14556646C2211yescharacteristic
31C2×C4×#10596833C2211yescharacteristic
32C2×C4×#10596833C2211yescharacteristic
33C2×C4×#10596833C2211yescharacteristic
34C2×C4×#10596833C2211yescharacteristic
35C2×C4×#10596833C2211yescharacteristic
36#17989453C2211yescharacteristic
37#17989453C2211yescharacteristic
38#17989453C2211yescharacteristic
39#17989453C2211yescharacteristic
40#17989453C2211yescharacteristic
41#17989453C2211yescharacteristic
42#17989453C2211yescharacteristic
43#17989453C2211yescharacteristic
44#17989453C2211yescharacteristic
45#17989453C2211yescharacteristic
46C2×#14556551C2211yescharacteristic
47C2×#14556549C2211yescharacteristic
48C22×C4×Dic73C2211yescharacteristic
49#17988479C411yescharacteristic
50#17988477C411yescharacteristic
51#17988474C411yescharacteristic
52#17988468C411yescharacteristic
53#17988466C411yescharacteristic
54#17988464C411yescharacteristic
55#17988462C411yescharacteristic
56C4⋊C4×Dic73C2211yescharacteristic
57C22⋊C4×Dic73C2211yescharacteristic
58#17988434C2211yescharacteristic
59#17988432C2211yescharacteristic
60#385×C73C411yescharacteristic
61C2×#11924038—41no—
62C2×#11924038—41no—
63C2×#11924038C2×C414yescomplemented
64C2×#11924037—41no—
65C2×#11924037—41no—
66C2×#11924037—41no—
67C2×#11924037—41no—
68C2×#11924037C2×C414yes—
69C2×#11924037C2×C414yes—
70C2×#11924036—41no—
71C2×#11924036—41no—
72C2×#11924036C2×C414yescomplemented
73C22×#10596833C2311yescharacteristic
74C22×#10596833C2311yescharacteristic
75C22×#10596833C2311yescharacteristic
76C22×#10596833C2311yescharacteristic
77C22×#10596833C2311yescharacteristic
78C22×#10596833C2311yescharacteristic
79C22×#10596833C2311yescharacteristic
80C22×#10596833C2311yescharacteristic
81#14556658C2×C414yescomplemented
82C4⋊#10596833C2×C414yescomplemented
83#14556648C2×C414yescomplemented
84#14556648C2×C414yescomplemented
85C22⋊#10596833C2×C414yes—
86C22⋊#10596833C2×C414yes—
87#14556646—41no—
88#14556646—41no—
89#14556646C2×C414yescomplemented
90C4×#10596833—41no—
91C4×#10596833—41no—
92C4×#10596833—41no—
93C4×#10596833—41no—
94C4×#10596833C2×C414yescomplemented
95C22×C22⋊D73C2×C411yescharacteristic
96C23×Dic73C2×C411yescharacteristic
97C23×Dic73C2311yescharacteristic
98C22×C4×D73C2311yescharacteristic
99#14556551C2×C414yes—
100#14556551C2×C414yes—
101#14556549—41no—
102#14556549—41no—
103C2×C4⋊Dic73C2×C411yescharacteristic
104C2×C4⋊Dic73C2×C411yescharacteristic
105C2×#11924007C2×C411yescharacteristic
106C2×C22⋊Dic73C2×C411yescharacteristic
107C2×#11924005C2×C411yescharacteristic
108C2×#11924005C2×C411yescharacteristic
109C2×#11924005C2×C411yescharacteristic
110C2×#11924005C2×C411yescharacteristic
111C2×#11924005C2×C411yescharacteristic
112C2×C4×Dic73—41no—
113C2×C4×Dic73—41no—
114C2×C4×Dic73C2×C411yescharacteristic
115C2×C4×Dic73C2×C411yescharacteristic
116C2×C4×Dic73C2311yescharacteristic
117C2×C4×Dic73C2311yescharacteristic
118C2×C4×Dic73C2311yescharacteristic
119C2×C4×Dic73C2311yescharacteristic
120C2×C4×Dic73C2311yescharacteristic
121#14556498C2×C411yescharacteristic
122#14556498C2×C411yescharacteristic
123#14556498C2×C411yescharacteristic
124#14556498C2×C411yescharacteristic
125#14556498C2×C411yescharacteristic
126#14556498C2×C411yescharacteristic
127#14556498C2×C411yescharacteristic
128#14556498C2×C411yescharacteristic
129C23×C4×C73C2×C411yescharacteristic
130C2×C4⋊C4×C73C2×C411yescharacteristic
131C2×C4⋊C4×C73C2×C411yescharacteristic
132C2×C22⋊C4×C73C2×C411yescharacteristic
133C2×C22⋊C4×C73C2×C411yescharacteristic
134#95×C73C2×C411yescharacteristic
135#95×C73C2×C411yescharacteristic
136#11924038—44no—
137#11924037—44no—
138#11924037—44no—
139#11924036—44no—
140C2×#10596833—21no—
141C2×#10596833—21no—
142C2×#10596833—21no—
143C2×#10596833—21no—
144C2×#10596833—21no—
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×#10596833C22×C412yes—
157C2×#10596833C22×C412yes—
158C2×#10596833C22×C412yes—
159C2×#10596833C22×C412yes—
160C2×#10596833C22×C412yes—
161C2×#10596833C22×C412yes—
162C2×#10596833C22×C412yes—
163C2×#10596833C22×C412yes—
164C23×D73C22×C411yescharacteristic
165C2×C22⋊D73—41no—
166C2×C22⋊D73—41no—
167C2×C22⋊D73C4214yes—
168C22×Dic73—21no—
169C22×Dic73—21no—
170C22×Dic73—21no—
171C22×Dic73—21no—
172C22×Dic73—22no—
173C22×Dic73—41no—
174C22×Dic73—41no—
175C22×Dic73C22×C411yescharacteristic
176C22×Dic73C22×C411yescharacteristic
177C22×Dic73C22×C411yescharacteristic
178C22×Dic73C22×C411yescharacteristic
179C22×Dic73C22×C411yescharacteristic
180C22×Dic73C22×C412yes—
181C22×Dic73C22×C412yes—
182C22×Dic73C22×C411yescharacteristic
183C22×Dic73C2411yescharacteristic
184C2×C4×D73—21no—
185C2×C4×D73—21no—
186C2×C4×D73—21no—
187C2×C4×D73—21no—
188C2×C4×D73C22×C412yes—
189C2×C4×D73C22×C412yes—
190C4⋊Dic73—22no—
191C4⋊Dic73—41no—
192#11924007C4214yes—
193C22⋊Dic73—41no—
194#11924005—22no—
195#11924005—22no—
196#11924005—41no—
197#11924005—41no—
198#11924005C4214yes—
199C4×Dic73—21no—
200C4×Dic73—21no—
201C4×Dic73—21no—
202C4×Dic73—21no—
203C4×Dic73—21no—
204C4×Dic73—21no—
205C4×Dic73—21no—
206C4×Dic73—21no—
207C4×Dic73—41no—
208C4×Dic73—41no—
209C4×Dic73C22×C412yes—
210C4×Dic73C22×C412yes—
211C24×C73C22×C411yescharacteristic
212C22×C4×C73—22no—
213C22×C4×C73—41no—
214C22×C4×C73—41no—
215C22×C4×C73C22×C411yescharacteristic
216C22×C4×C73C22×C411yescharacteristic
217C22×C4×C73C22×C411yescharacteristic
218C22×C4×C73C22×C411yescharacteristic
219C22×C4×C73C22×C411yescharacteristic
220C22×C4×C73C22×C411yescharacteristic
221C4⋊C4×C73—22no—
222C4⋊C4×C73—41no—
223C22⋊C4×C73—41no—
224C22⋊C4×C73C4214yes—
225C23×C73—21no—
226C23×C73—21no—
227C23×C73—21no—
228C23×C73—21no—
229C23×C73—21no—
230C23×C73—21no—
231C23×C73C2×C4212yes—
232C23×C73C23×C411yescharacteristic
233C22×D73—21no—
234C22×D73—21no—
235C22×D73—21no—
236C22×D73—21no—
237C22×D73—21no—
238C22×D73—21no—
239C22×D73C2×C4212yes—
240C2×C4×C73—21no—
241C2×C4×C73—21no—
242C2×C4×C73—21no—
243C2×C4×C73—21no—
244C2×C4×C73—21no—
245C2×C4×C73—21no—
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—44no—
256C2×C4×C73C2×C4212yes—
257C2×C4×C73C2×C4212yes—
258C2×C4×C73#13112yes—
259C22⋊D73—44no—
260C2×Dic73—21no—
261C2×Dic73—21no—
262C2×Dic73—21no—
263C2×Dic73—21no—
264C2×Dic73—21no—
265C2×Dic73—21no—
266C2×Dic73—22no—
267C2×Dic73—22no—
268C2×Dic73—22no—
269C2×Dic73—22no—
270C2×Dic73—21no—
271C2×Dic73—21no—
272C2×Dic73—21no—
273C2×Dic73—21no—
274C2×Dic73—21no—
275C2×Dic73—21no—
276C2×Dic73—21no—
277C2×Dic73—21no—
278C2×Dic73—21no—
279C2×Dic73—44no—
280C2×Dic73C2×C4212yes—
281C2×Dic73C2×C4212yes—
282C2×Dic73#13112yes—
283C2×Dic73C23×C411yescharacteristic
284C2×Dic73C23×C411yescharacteristic
285C2×Dic73H(5,𝔽2)11yescharacteristic
286C2×Dic73H(5,𝔽2)11yescharacteristic
287C2×Dic73H(5,𝔽2)11yescharacteristic
288C2×Dic732−1+411yescharacteristic
289C4×D73—22no—
290C4×D73—22no—
291C4×D73—22no—
292C4×D73—22no—
293#10596833—22no—
294#10596833—22no—
295#10596833—22no—
296#10596833—22no—
297#10596833—22no—
298#10596833—22no—
299#10596833—22no—
300#10596833—22no—
301C22×C73—22no—
302C22×C73—22no—
303C22×C73—22no—
304C22×C73—41no—
305C22×C73—41no—
306C22×C73—41no—
307C22×C73—41no—
308C22×C73C22×C4211yescharacteristic
309C22×C73#51811yescharacteristic
310C22×C73#52011yescharacteristic
311C22×C73C2×#13111yescharacteristic
312C22×C73C2×#13111yescharacteristic
313C22×C73#56811yescharacteristic
314C22×C73#56811yescharacteristic
315C2×D73—22no—
316C2×D73—22no—
317C2×D73—22no—
318C2×D73—41no—
319C2×D73—41no—
320C2×D73—41no—
321C2×D73—41no—
322C4×C73—22no—
323C4×C73—22no—
324C4×C73—22no—
325C4×C73—41no—
326C4×C73—41no—
327C4×C73—41no—
328Dic73—22no—
329Dic73—22no—
330Dic73—22no—
331Dic73—41no—
332Dic73—41no—
333Dic73—41no—
334Dic73#51811yescharacteristic
335Dic73#51811yescharacteristic
336Dic73#52011yescharacteristic
337Dic73#52011yescharacteristic
338#20561—731nomaximal, Sylow
339C2×C73—42no—
340C2×C73#227511yescharacteristic
341C2×C73#287311yescharacteristic
342C2×C73C4×#13111yescharacteristic
343C2×C73#297611yescharacteristic
344C2×C73#297611yescharacteristic
345C2×C73#299311yescharacteristic
346C2×C73#299311yescharacteristic
347D73—42no—
348C2×#436—731no—
349C2×#435—731no—
350#2290—731no—
351#1771—731no—
352C8×C4⋊C4—731no—
353#1768—731no—
354#1753—731no—
355#1753—731no—
356#1753—731no—
357C8×C22⋊C4—731no—
358#1750—731no—
359C4×C22⋊C8—731no—
360#1746—731no—
361#1729—731no—
362#1728—731no—
363C73#2056111yescharacteristic, complemented, Sylow
364C22×M16—731no—
365C22×M16—731no—
366C22×M16—731no—
367C23×C8—731no—
368C2×C4×D4—731no—
369C2×#117—731no—
370C22×C42—731no—
371#436—738no—
372#435—738no—
373C2×C4⋊C8—731no—
374C2×C4⋊C8—731no—
375C2×C22⋊C8—731no—
376C2×C22⋊C8—731no—
377C2×C22⋊C8—731no—
378C2×C22⋊C8—731no—
379C2×#97—731no—
380C2×#97—731no—
381C2×#97—731no—
382C2×C4×C8—731no—
383C2×C4×C8—731no—
384C2×C4×C8—731no—
385C2×C4×C8—731no—
386C2×C4×C8—731no—
387#388—731no—
388#388—731no—
389#387—731no—
390#387—731no—
391#386—731no—
392#386—731no—
393#385—731no—
394#385#6440811yescharacteristic
395C4×C4⋊C4—731no—
396C4×C22⋊C4—731no—
397C4×C22⋊C4—731no—
398#376—731no—
399#336—731no—
400#336—731no—
401#336—731no—
402#336—731no—
403#336—731no—
404#336—731no—
405#336—731no—
406#336—731no—
407#336—731no—
408#336—731no—
409C22×D4—731no—
410C23×C4—731no—
411C23×C4—731no—
412C23×C4—731no—
413C23×C4C2×#6440811yescharacteristic
414C2×M16—2921no—
415C2×M16—2921no—
416C2×M16—2921no—
417C2×M16—2921no—
418C2×M16—2921no—
419C2×M16—2921no—
420C2×M16—734no—
421C2×M16—734no—
422C2×M16—734no—
423C22×C8—2921no—
424C22×C8—2921no—
425C22×C8—734no—
426C22×C8—731no—
427C22×C8—731no—
428C22×C8—731no—
429C22×C8—731no—
430C22×C8—731no—
431C22×C8—731no—
432C22×C8—731no—
433C22×C8—731no—
434C4×D4—734no—
435C4×D4—734no—
436#117—2921no—
437#117—2921no—
438C2×C4⋊C4—731no—
439C2×C4⋊C4—731no—
440C2×C4⋊C4—731no—
441C2×C4⋊C4C2×#6440811yescharacteristic
442C2×C4⋊C4C2×#6440811yescharacteristic
443C2×C22⋊C4—731no—
444C2×C22⋊C4—731no—
445C2×C22⋊C4—731no—
446C2×C22⋊C4—731no—
447C2×C22⋊C4—731no—
448C2×C22⋊C4—731no—
449C2×C22⋊C4C2×#6440811yescharacteristic
450C2×C22⋊C4C2×#6440811yescharacteristic
451C2×C42—2921no—
452C2×C42—2921no—
453C2×C42—731no—
454C2×C42—731no—
455C2×C42—731no—
456C2×C42—731no—
457C2×C42—731no—
458C2×C42—731no—
459C2×C42—731no—
460C4⋊C8—734no—
461C4⋊C8—734no—
462C22⋊C8—734no—
463C22⋊C8—734no—
464C22⋊C8—734no—
465C22⋊C8—734no—
466#97—2921no—
467#97—2921no—
468#97—734no—
469C4×C8—2921no—
470C4×C8—2921no—
471C4×C8—2921no—
472C4×C8—2921no—
473C4×C8—734no—
474#95—731no—
475#95—731no—
476#95—731no—
477#95—731no—
478#95—731no—
479#95—731no—
480#95—731no—
481#95—731no—
482#95C2×#6440811yescharacteristic
483#95C2×#6440811yescharacteristic
484C24—731no—
485C24C22×#6440811yescharacteristic
486C2×D4—2921no—
487C2×D4—2921no—
488C2×D4—734no—
489C22×C4—22no—
490C22×C4—41no—
491C22×C4—41no—
492C22×C4—2921no—
493C22×C4—2921no—
494C22×C4—731no—
495C22×C4—731no—
496C22×C4—731no—
497C22×C4—731no—
498C22×C4—732no—
499C22×C4—732no—
500C22×C4—732no—
501C22×C4—732no—
502C22×C4—731no—
503C22×C4—731no—
504C22×C4—731no—
505C22×C4—1461no—
506C22×C4—1461no—
507C22×C4—1461no—
508C22×C4—1461no—
509C22×C4—1462no—
510C22×C4—1461no—
511C22×C4—1461no—
512C22×C4—1461no—
513C22×C4—1461no—
514C22×C4C22×#6440811yescharacteristic
515C22×C4C22×#6440811yescharacteristic
516C22×C4C22×#6440811yescharacteristic
517C22×C4C22×#6440811yescharacteristic
518C22×C4C22×#6440811yescharacteristic
519C22×C4C22×#6440811yescharacteristic
520M16—2924no—
521M16—2924no—
522M16—2924no—
523C2×C8—2924no—
524C2×C8—732no—
525C2×C8—732no—
526C2×C8—732no—
527C2×C8—732no—
528C2×C8—732no—
529C2×C8—732no—
530C2×C8—732no—
531C2×C8—732no—
532C2×C8—1461no—
533C2×C8—1461no—
534C2×C8—1461no—
535C2×C8—1461no—
536C2×C8—1461no—
537C2×C8—1461no—
538C2×C8—1461no—
539C2×C8—1461no—
540C2×C8—1461no—
541C2×C8—1461no—
542C2×C8—1461no—
543C2×C8—1461no—
544C2×C8—1461no—
545C2×C8—1461no—
546C2×C8—1461no—
547C2×C8—1461no—
548C4⋊C4—22no—
549C4⋊C4—41no—
550C4⋊C4—2921no—
551C4⋊C4—734no—
552C4⋊C4—1462no—
553C22⋊C4—41no—
554C22⋊C4—2921no—
555C22⋊C4—2921no—
556C22⋊C4—2921no—
557C22⋊C4—734no—
558C22⋊C4—1462no—
559C22⋊C4—1462no—
560C22⋊C4C4×#6440814yes—
561C42—2921no—
562C42—2921no—
563C42—732no—
564C42—732no—
565C42—1461no—
566C42—1461no—
567C42—1461no—
568C42—1461no—
569C42—1461no—
570C42—1461no—
571C42—1461no—
572C42—1461no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—732no—
580C23—1461no—
581C23—1461no—
582C23—1461no—
583C23—1461no—
584C23—1461no—
585C23—1461no—
586C23C2×C4×#6440812yes—
587C23C23×#6440811yescharacteristic
588D4—2924no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—44no—
605C2×C4—2924no—
606C2×C4—731no—
607C2×C4—731no—
608C2×C4—731no—
609C2×C4—731no—
610C2×C4—731no—
611C2×C4—731no—
612C2×C4—732no—
613C2×C4—732no—
614C2×C4—732no—
615C2×C4—1462no—
616C2×C4—1462no—
617C2×C4—1462no—
618C2×C4—1462no—
619C2×C4—1461no—
620C2×C4—1461no—
621C2×C4—1461no—
622C2×C4—1461no—
623C2×C4—1461no—
624C2×C4—1461no—
625C2×C4—1461no—
626C2×C4—1461no—
627C2×C4—1461no—
628C2×C4—1462no—
629C2×C4—1462no—
630C2×C4—1462no—
631C2×C4—1462no—
632C2×C4—1461no—
633C2×C4—1461no—
634C2×C4—1461no—
635C2×C4—1461no—
636C2×C4—1461no—
637C2×C4—1461no—
638C2×C4C2×C4×#6440812yes—
639C2×C4C2×C4×#6440812yes—
640C2×C4#1455667812yes—
641C8—1462no—
642C8—1462no—
643C8—1462no—
644C8—1462no—
645C8—1462no—
646C8—1462no—
647C8—1462no—
648C8—1462no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—2921no—
657C22—2921no—
658C22—2921no—
659C22—2921no—
660C22—1462no—
661C22—1462no—
662C22—1462no—
663C22C22×C4×#6440811yescharacteristic
664C22#1798965411yescharacteristic
665C22#1798965611yescharacteristic
666C22C2×#1455667811yescharacteristic
667C22D73⋊#13111yescharacteristic
668C22#1798966511yescharacteristic
669C22#1798966711yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—41no—
674C4—41no—
675C4—41no—
676C4—2921no—
677C4—2921no—
678C4—2921no—
679C4—731no—
680C4—731no—
681C4—731no—
682C4—731no—
683C4—1462no—
684C4—1462no—
685C4—1462no—
686C2—42no—
687C2—2922no—
688C2#2262637011yescharacteristic
689C2#2262649711yescharacteristic
690C2C4×#1455667811yescharacteristic
691C2#2262679711yescharacteristic
692C2#2262680211yescharacteristic
693C2#2262687211yescharacteristic
694C2#2262687611yescharacteristic
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#20561
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ #385

Complements

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

NH ≅ G/Ntype
3. #22625731C2semidirect
4. C4⋊C4×#10596833C2semidirect
5. #22625719C2semidirect
6. #22625673C2semidirect
7. #22625673C2semidirect
8. #22625672C2semidirect
9. #22625665C2semidirect
10. #22625660C2semidirect
11. C4×C22⋊#10596833C2semidirect
12. #22625650C2semidirect
13. #22625598C2semidirect
14. #22625594C2semidirect
20. #17989620C4semidirect
21. #17989619C4semidirect
63. C2×#11924038C2×C4semidirect
72. C2×#11924036C2×C4semidirect
81. #14556658C2×C4semidirect
82. C4⋊#10596833C2×C4semidirect
83. #14556648C2×C4semidirect
84. #14556648C2×C4semidirect
89. #14556646C2×C4semidirect
94. C4×#10596833C2×C4semidirect
363. C73#20561semidirect

Maximal subgroups

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

subgroupindex
C2×#179896202
C2×#179896192
#226257312
C4⋊C4×#105968332
#226257192
#226256732
#226256722
#226256652
#226256602
C4×C22⋊#105968332
#226256502
#226255982
#226255942
#226123672
#2056173