Finite Group Databasebeta

← #11660621

Subgroups — #11660621

Order 768.

1816 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5557C211yesmaximal, characteristic
2C3×#2972C211yesmaximal, characteristic, complemented
3#82304C211yesmaximal, characteristic, complemented
4#79410C214yesmaximal, complemented
5#79408C214yesmaximal, complemented
6#79403C214yesmaximal, complemented
7#79401C214yesmaximal, complemented
8#79282C211yesmaximal, characteristic, complemented
9D3×#431C211yesmaximal, characteristic, complemented
10#79264C211yesmaximal, characteristic, complemented
11#79263C211yesmaximal, characteristic, complemented
12#78603C214yesmaximal, complemented
13#78584C214yesmaximal, complemented
14#60290—31nomaximal, Sylow
15C2×C3×C4×D4C2211yescharacteristic
16C2×#938C411yescharacteristic
17C2×#936C411yescharacteristic
18C2×C4×#67C2212yes—
19C2×#926C2212yes—
20#5557C412yes—
21#5557C412yes—
22#5557C412yes—
23#5557C412yes—
24#5557C2212yes—
25#5557C2212yes—
26#5557C2212yes—
27#5557C2212yes—
28C2×#897C411yescharacteristic
29C2×#890C411yescharacteristic
30C2×#883C412yes—
31C2×#879C412yes—
32C2×C42×D3C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C3×C8×D4C2214yescomplemented
35C3×C8×D4C2214yescomplemented
36C3×#431C2211yescharacteristic
37C3×#431C2211yescharacteristic
38C2×C3×C22⋊C8C2214yes—
39#5207C2214yes—
40#5111C2218yescomplemented
41C8×#67C2218yescomplemented
42#5102C2218yescomplemented
43#5101C2218yescomplemented
44#5012C2214yescomplemented
45#5012C2214yescomplemented
46#4925C2211yescharacteristic
47#4925C2211yescharacteristic
48#4837C2212yescomplemented
49#4835C2212yescomplemented
50#4833C2212yescomplemented
51D3×C4⋊C8C2212yescomplemented
52#4831C2214yescomplemented
53#4830C2214yescomplemented
54#4729C2218yescomplemented
55#4728C2218yescomplemented
56#4726C2212yes—
57D3×C22⋊C8C2212yes—
58#4720C2218yescomplemented
59#4720C2218yescomplemented
60#4719C2214yes—
61#4719C2212yes—
62#4718C2214yes—
63#4718C2212yes—
64C4×ΓL(1,𝔽25)C2212yescomplemented
65#4685C2212yescomplemented
66#4685C2212yescomplemented
67C4×D3×C8C2212yescomplemented
68#4679C2214yescomplemented
69C8×Dic6C2214yescomplemented
70C2×#529—31no—
71#2994—34no—
72#2993—34no—
73#2983—31no—
74#2982—31no—
75#2975—31no—
76#2974—34no—
77#2972D311yescharacteristic, complemented
78#2969—34no—
79#2966—34no—
80#2924—34no—
81#2920—31no—
82C2×#431—31no—
83C22×C3×D4C2×C411yescharacteristic
84C23×C3×C4C2312yes—
85C22×#67C2×C412yes—
86C22×C4×D3C2×C411yescharacteristic
87C22×C4×D3C2×C411yescharacteristic
88C22×C4×D3C2311yescharacteristic
89C22×Dic6C2×C411yescharacteristic
90C22×C3×C8C2318yes—
91C3×C4×D4C2×C412yes—
92C3×C4×D4C2×C412yes—
93C3×C4×D4C2312yes—
94C3×C4×D4C2312yes—
95C2×C3×C4⋊C4C2×C411yescharacteristic
96C2×C3×C22⋊C4C2×C412yes—
97C2×C3×C42C2311yescharacteristic
98C2×#217C2×C412yes—
99C2×#217C2×C412yes—
100C2×#217C2×C412yes—
101#938C2×C412yes—
102#938C2×C412yes—
103#938C2×C412yes—
104#938C2×C412yes—
105#936C2×C412yes—
106#936C2×C412yes—
107#936C2×C412yes—
108#936C2×C412yes—
109C4×#67C2×C414yes—
110C4×#67C2×C414yes—
111C4×#67C2314yes—
112C4×#67C2314yes—
113C2×(C2×D3)⋊C4C2×C412yes—
114#926C2×C414yes—
115#926C2×C414yes—
116#926C2314yes—
117#926C2314yes—
118C2×C4⋊Dic3C2×C411yescharacteristic
119C2×C4⋊Dic3C2×C412yes—
120C2×C4⋊Dic3C2×C412yes—
121C2×Dic3⋊C4C2×C412yes—
122C2×Dic3⋊C4C2×C412yes—
123C2×C4×Dic3C2×C411yescharacteristic
124C2×C4×Dic3C2×C411yescharacteristic
125C2×C4×Dic3C2312yes—
126C2×C4×Dic3C2311yescharacteristic
127C2×#208C2318yes—
128C2×ΓL(1,𝔽25)C2314yes—
129C2×D3×C8C2314yes—
130#897C2×C412yes—
131#897C2×C412yes—
132#897C2×C412yes—
133#897C2×C412yes—
134#890C2×C412yes—
135#890C2×C412yes—
136#890C2×C412yes—
137#890C2×C412yes—
138#883C2×C414yes—
139#883C2×C414yes—
140#883C2×C414yes—
141#883C2×C414yes—
142#879C2×C414yes—
143#879C2×C414yes—
144#879C2×C414yes—
145#879C2×C414yes—
146C42×D3C2×C411yescharacteristic
147C42×D3C2×C411yescharacteristic
148C42×D3C2×C411yescharacteristic
149C42×D3C2×C411yescharacteristic
150C42×D3C2311yescharacteristic
151C42×D3C2311yescharacteristic
152C42×D3C2311yescharacteristic
153C42×D3C2311yescharacteristic
154C4×Dic6C2×C412yes—
155C4×Dic6C2×C412yes—
156C4×Dic6C2312yes—
157C4×Dic6C2312yes—
158C3×C4⋊C8C2312yes—
159C3×C4⋊C8C2312yes—
160C3×C22⋊C8C2312yes—
161C3×C22⋊C8C2312yes—
162C3×C22⋊C8C2318yes—
163C3×C4×C8C2312yes—
164C3×C4×C8C2312yes—
165#830C2312yes—
166#830C2312yes—
167#830C2318yes—
168(C2×D3)⋊C8C2314yes—
169(C2×D3)⋊C8C2314yes—
170#815C2318yes—
171#815C2314yes—
172Dic3⋊C8C2318yes—
173Dic3⋊C8C2318yes—
174Dic3⋊C8C2314yes—
175Dic3⋊C8C2314yes—
176C8×Dic3C2318yes—
177C8×Dic3C2314yes—
178C4⋊(C3⋊C8)C2312yes—
179C4⋊(C3⋊C8)C2312yes—
180C4×C3⋊C8C2312yes—
181C4×C3⋊C8C2312yes—
182#529—32no—
183#529—32no—
184#529—32no—
185#529—32no—
186#529—32no—
187#529—32no—
188#529—32no—
189#529—32no—
190C2×#126—32no—
191C2×#125—31no—
192C2×#124—31no—
193C2×#123—32no—
194C2×C22⋊Q8—31no—
195C2×#121—31no—
196C2×C4×Q8—31no—
197C2×C4×D4—32no—
198C2×C4×D4C2×D311yescharacteristic
199C2×#117—32no—
200C22×C42—31no—
201#446—34no—
202#446—34no—
203C8×Q8—34no—
204C8×Q8—34no—
205#436—34no—
206#436—34no—
207#436—38no—
208#435—38no—
209#435—38no—
210C8×D4—38no—
211C8×D4C2×D314yescomplemented
212C8×D4C2×D314yescomplemented
213#433—38no—
214#433—38no—
215#432—32no—
216#432—32no—
217#432—34no—
218#431—31no—
219#431—31no—
220#431—32no—
221#431—32no—
222#431—34no—
223#431—32no—
224#431—32no—
225#431C2×D311yescharacteristic
226#431C2×D311yescharacteristic
227#424—38no—
228#423—32no—
229C2×C4⋊C8—32no—
230#407—34no—
231#407—32no—
232C2×C22⋊C8—32no—
233C2×C22⋊C8C2×D314yes—
234#405—38no—
235C4×M16—32no—
236C2×C4×C8—32no—
237C24×C3C22×C412yes—
238C23×D3C22×C411yescharacteristic
239C2×C3×D4—24no—
240C2×C3×D4C22×C412yes—
241C2×C3×D4C22×C412yes—
242C22×C3×C4—44no—
243C22×C3×C4C22×C411yescharacteristic
244C22×C3×C4C22×C412yes—
245C22×C3×C4C22×C414yes—
246C22×C3×C4C22×C411yescharacteristic
247C22×C3×C4C2411yescharacteristic
248C22×C3×C4C2414yes—
249C2×#67—44no—
250C2×#67C22×C414yes—
251C2×#67C22×C414yes—
252C22×Dic3C22×C411yescharacteristic
253C22×Dic3C22×C412yes—
254C22×Dic3C22×C411yescharacteristic
255C22×Dic3C22×C411yescharacteristic
256C22×Dic3C22×C412yes—
257C2×C4×D3—24no—
258C2×C4×D3—42no—
259C2×C4×D3—42no—
260C2×C4×D3C22×C411yescharacteristic
261C2×C4×D3C22×C411yescharacteristic
262C2×C4×D3C22×C411yescharacteristic
263C2×C4×D3C22×C411yescharacteristic
264C2×C4×D3C22×C411yescharacteristic
265C2×C4×D3C22×C411yescharacteristic
266C2×C4×D3C22×C411yescharacteristic
267C2×C4×D3C22×C411yescharacteristic
268C2×C4×D3C22×C411yescharacteristic
269C2×C4×D3C22×C411yescharacteristic
270C2×C4×D3C2411yescharacteristic
271C2×C4×D3C2411yescharacteristic
272C2×Dic6—24no—
273C2×Dic6C22×C412yes—
274C2×Dic6C22×C412yes—
275C2×C3×C8—48no—
276C2×C3×C8C2414yes—
277C2×C3×C8C2414yes—
278C3×C4⋊C4C22×C412yes—
279C3×C4⋊C4C22×C412yes—
280C3×C22⋊C4C22×C414yes—
281C3×C22⋊C4C22×C414yes—
282C3×C42C22×C411yescharacteristic
283C3×C42C22×C411yescharacteristic
284C3×C42C2411yescharacteristic
285C3×C42C2411yescharacteristic
286#217C22×C414yes—
287#217C22×C414yes—
288#217C22×C414yes—
289#217C22×C414yes—
290#217C22×C414yes—
291#217C22×C414yes—
292(C2×D3)⋊C4C22×C414yes—
293(C2×D3)⋊C4C22×C414yes—
294C4⋊Dic3C22×C412yes—
295C4⋊Dic3C22×C412yes—
296C4⋊Dic3C22×C414yes—
297C4⋊Dic3C22×C414yes—
298C4⋊Dic3C22×C414yes—
299C4⋊Dic3C22×C414yes—
300Dic3⋊C4C22×C414yes—
301Dic3⋊C4C22×C414yes—
302Dic3⋊C4C22×C414yes—
303Dic3⋊C4C22×C414yes—
304C4×Dic3C22×C414yes—
305C4×Dic3C22×C411yescharacteristic
306C4×Dic3C22×C411yescharacteristic
307C4×Dic3C22×C411yescharacteristic
308C4×Dic3C22×C411yescharacteristic
309C4×Dic3C22×C411yescharacteristic
310C4×Dic3C22×C411yescharacteristic
311C4×Dic3C22×C411yescharacteristic
312C4×Dic3C22×C411yescharacteristic
313C4×Dic3C22×C411yescharacteristic
314C4×Dic3C22×C411yescharacteristic
315C4×Dic3C2411yescharacteristic
316C4×Dic3C2414yes—
317C4×Dic3C2411yescharacteristic
318#208—48no—
319C2×C3⋊C8C2414yes—
320C2×C3⋊C8C2414yes—
321ΓL(1,𝔽25)—44no—
322D3×C8—44no—
323C22×Q8—31no—
324C22×D4—32no—
325C22×D4C4×D311yescharacteristic
326C23×C4—31no—
327C23×C4—31no—
328C23×C4—31no—
329C23×C4C22×D312yes—
330C2×M16—38no—
331C2×M16—34no—
332C22×C8—34no—
333C22×C8C22×D318yes—
334#126—34no—
335#126—34no—
336#126—34no—
337#126—34no—
338#125—32no—
339#125—32no—
340#125—32no—
341#125—32no—
342#124—32no—
343#124—32no—
344#124—32no—
345#124—32no—
346#123—34no—
347#123—34no—
348#123—34no—
349#123—34no—
350C22⋊Q8—32no—
351C22⋊Q8—32no—
352C22⋊Q8—32no—
353C22⋊Q8—32no—
354#121—32no—
355#121—32no—
356#121—32no—
357#121—32no—
358C4×Q8—32no—
359C4×Q8—32no—
360C4×Q8—32no—
361C4×Q8—32no—
362C4×D4—34no—
363C4×D4—34no—
364C4×D4—34no—
365C4×D4—34no—
366C4×D4C4×D312yes—
367C4×D4C4×D312yes—
368C4×D4C22×D312yes—
369C4×D4C22×D312yes—
370#117—34no—
371#117—34no—
372#117—34no—
373#117—34no—
374C2×C4⋊C4—32no—
375C2×C4⋊C4—32no—
376C2×C4⋊C4—32no—
377C2×C4⋊C4—31no—
378C2×C4⋊C4—32no—
379C2×C4⋊C4C4×D311yescharacteristic
380C2×C22⋊C4—32no—
381C2×C22⋊C4—32no—
382C2×C22⋊C4—32no—
383C2×C22⋊C4—32no—
384C2×C22⋊C4C4×D312yes—
385C2×C42—31no—
386C2×C42—31no—
387C2×C42—31no—
388C2×C42—32no—
389C2×C42—31no—
390C2×C42—31no—
391C2×C42—31no—
392C2×C42—31no—
393C2×C42—31no—
394C2×C42—31no—
395C2×C42—31no—
396C2×C42—31no—
397C2×C42C22×D311yescharacteristic
398C4⋊C8—34no—
399C4⋊C8—34no—
400C4⋊C8—38no—
401C4⋊C8—38no—
402C4⋊C8—32no—
403C4⋊C8—32no—
404C4⋊C8C22×D312yes—
405C4⋊C8C22×D312yes—
406C22⋊C8—32no—
407C22⋊C8—32no—
408C22⋊C8—38no—
409C22⋊C8—34no—
410C22⋊C8—34no—
411C22⋊C8C22×D312yes—
412C22⋊C8C22×D312yes—
413C22⋊C8C22×D318yes—
414#97—34no—
415#97—38no—
416C4×C8—34no—
417C4×C8—38no—
418C4×C8—32no—
419C4×C8—32no—
420C4×C8C22×D312yes—
421C4×C8C22×D312yes—
422C23×C3—24no—
423C23×C3—42no—
424C23×C3—42no—
425C23×C3C23×C414yes—
426C23×C3C23×C411yescharacteristic
427C22×D3—22no—
428C22×D3—22no—
429C22×D3—41no—
430C22×D3C23×C411yescharacteristic
431C22×D3C23×C411yescharacteristic
432C3×D4—24no—
433C3×D4—24no—
434C2×C3×C4—28no—
435C2×C3×C4—22no—
436C2×C3×C4—41no—
437C2×C3×C4—44no—
438C2×C3×C4—42no—
439C2×C3×C4#13114yes—
440C2×C3×C4C23×C411yescharacteristic
441C2×C3×C4C23×C411yescharacteristic
442C2×C3×C4C23×C411yescharacteristic
443C2×C3×C4C23×C414yes—
444C2×C3×C4C23×C411yescharacteristic
445C2×C3×C4C23×C411yescharacteristic
446C2×C3×C4C2511yescharacteristic
447#67—28no—
448#67—44no—
449C2×Dic3—24no—
450C2×Dic3—22no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—42no—
454C2×Dic3C23×C411yescharacteristic
455C2×Dic3C23×C411yescharacteristic
456C2×Dic3C23×C411yescharacteristic
457C2×Dic3C23×C411yescharacteristic
458C2×Dic3C23×C411yescharacteristic
459C2×Dic3C23×C411yescharacteristic
460C2×Dic3C23×C414yes—
461C2×Dic3C23×C414yes—
462C4×D3—22no—
463C4×D3—22no—
464C4×D3—22no—
465C4×D3—22no—
466C4×D3—22no—
467C4×D3—22no—
468C4×D3—22no—
469C4×D3—22no—
470C4×D3—41no—
471C4×D3—41no—
472C4×D3—41no—
473C4×D3—41no—
474Dic6—24no—
475Dic6—24no—
476C3×C8—24no—
477C3×C8—24no—
478C3⋊C8—24no—
479C3⋊C8—24no—
480C24—31no—
481C24C2×C4×D312yes—
482C2×Q8—32no—
483C2×Q8—32no—
484C2×Q8—64no—
485C2×D4—24no—
486C2×D4—34no—
487C2×D4—34no—
488C2×D4—124no—
489C2×D4C2×C4×D312yes—
490C2×D4C2×C4×D312yes—
491C22×C4—31no—
492C22×C4—32no—
493C22×C4—31no—
494C22×C4—31no—
495C22×C4—32no—
496C22×C4—31no—
497C22×C4—31no—
498C22×C4—31no—
499C22×C4—31no—
500C22×C4—31no—
501C22×C4—31no—
502C22×C4—31no—
503C22×C4—31no—
504C22×C4—31no—
505C22×C4—31no—
506C22×C4—31no—
507C22×C4—31no—
508C22×C4—44no—
509C22×C4—64no—
510C22×C4—122no—
511C22×C4—122no—
512C22×C4C2×C4×D311yescharacteristic
513C22×C4C2×C4×D312yes—
514C22×C4C2×C4×D314yes—
515C22×C4C2×C4×D311yescharacteristic
516C22×C4C23×D311yescharacteristic
517C22×C4C23×D314yes—
518M16—124no—
519M16—128no—
520C2×C8—34no—
521C2×C8—34no—
522C2×C8—48no—
523C2×C8—124no—
524C2×C8C23×D314yes—
525C2×C8C23×D314yes—
526C4⋊C4—34no—
527C4⋊C4—34no—
528C4⋊C4—34no—
529C4⋊C4—34no—
530C4⋊C4—34no—
531C4⋊C4—34no—
532C4⋊C4—32no—
533C4⋊C4—32no—
534C4⋊C4—34no—
535C4⋊C4—34no—
536C4⋊C4C2×C4×D312yes—
537C4⋊C4C2×C4×D312yes—
538C22⋊C4—34no—
539C22⋊C4—34no—
540C22⋊C4—34no—
541C22⋊C4—34no—
542C22⋊C4—34no—
543C22⋊C4—34no—
544C22⋊C4—34no—
545C22⋊C4—34no—
546C22⋊C4C2×C4×D314yes—
547C22⋊C4C2×C4×D314yes—
548C42—31no—
549C42—31no—
550C42—31no—
551C42—31no—
552C42—31no—
553C42—31no—
554C42—31no—
555C42—31no—
556C42—31no—
557C42—31no—
558C42—34no—
559C42—31no—
560C42—34no—
561C42—31no—
562C42C2×C4×D311yescharacteristic
563C42C2×C4×D311yescharacteristic
564C42C23×D311yescharacteristic
565C42C23×D311yescharacteristic
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—24no—
569C22×C3—24no—
570C22×C3—24no—
571C22×C3—84no—
572C22×C3C2×#13112yes—
573C22×C3C24×C411yescharacteristic
574C2×D3—21no—
575C2×D3—21no—
576C2×D3—21no—
577C2×D3—21no—
578C2×D3—21no—
579C2×D3—44no—
580C2×D3#56812yes—
581C3×C4—21no—
582C3×C4—24no—
583C3×C4—21no—
584C3×C4—21no—
585C3×C4C2×#13112yes—
586C3×C4C2×#13112yes—
587C3×C4#58512yes—
588Dic3—21no—
589Dic3—21no—
590Dic3—24no—
591Dic3—21no—
592Dic3—21no—
593Dic3—21no—
594Dic3—21no—
595Dic3—24no—
596C23—24no—
597C23—31no—
598C23—31no—
599C23—42no—
600C23—42no—
601C23—62no—
602C23—62no—
603C23—121no—
604C23C22×C4×D314yes—
605C23C22×C4×D311yescharacteristic
606Q8—64no—
607Q8—64no—
608D4—24no—
609D4—24no—
610D4—68no—
611D4—124no—
612C2×C4—28no—
613C2×C4—22no—
614C2×C4—31no—
615C2×C4—31no—
616C2×C4—31no—
617C2×C4—31no—
618C2×C4—31no—
619C2×C4—31no—
620C2×C4—34no—
621C2×C4—34no—
622C2×C4—44no—
623C2×C4—42no—
624C2×C4—41no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—62no—
628C2×C4—64no—
629C2×C4—62no—
630C2×C4—62no—
631C2×C4—62no—
632C2×C4—62no—
633C2×C4—62no—
634C2×C4—62no—
635C2×C4—121no—
636C2×C4—121no—
637C2×C4—121no—
638C2×C4—121no—
639C2×C4—121no—
640C2×C4—121no—
641C2×C4—122no—
642C2×C4#90114yes—
643C2×C4C22×C4×D311yescharacteristic
644C2×C4C22×C4×D311yescharacteristic
645C2×C4C22×C4×D311yescharacteristic
646C2×C4C22×C4×D314yes—
647C2×C4C22×C4×D311yescharacteristic
648C2×C4C22×C4×D311yescharacteristic
649C2×C4C24×D311yescharacteristic
650C8—24no—
651C8—24no—
652C8—64no—
653C8—64no—
654C2×C3—22no—
655C2×C3—44no—
656C2×C3#342811yescharacteristic
657C2×C3C22×#13111yescharacteristic
658C2×C3C2×#56811yescharacteristic
659D3—22no—
660D3—41no—
661C22—21no—
662C22—21no—
663C22—24no—
664C22—24no—
665C22—24no—
666C22—32no—
667C22—61no—
668C22—61no—
669C22—61no—
670C22—61no—
671C22—61no—
672C22—84no—
673C22—124no—
674C22C2×#90112yes—
675C22C23×C4×D311yescharacteristic
676C4—21no—
677C4—24no—
678C4—21no—
679C4—21no—
680C4—61no—
681C4—61no—
682C4—61no—
683C4—61no—
684C4—64no—
685C4—61no—
686C4—61no—
687C4—64no—
688C4C2×#90112yes—
689C4C2×#90112yes—
690C4#596612yes—
691C3#6029011yescharacteristic, complemented, Sylow
692C2—22no—
693C2—44no—
694C2—62no—
695C2—121no—
696C2#8585611yescharacteristic
697C2C22×#90111yescharacteristic
698C2D3×#56811yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D3
commutator, socleC22×C3C24×C4
FittingC3×#2972C2
prime radicalC2×#938C4
cosocleC2×C3×C4C25
hypercenter#2972D3
hypocenterC3#60290
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ #2972

Complements

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

NH ≅ G/Ntype
2. C3×#2972C2semidirect
3. #82304C2semidirect
4. #79410C2semidirect
5. #79408C2semidirect
6. #79403C2semidirect
7. #79401C2semidirect
8. #79282C2semidirect
9. D3×#431C2semidirect
10. #79264C2semidirect
11. #79263C2semidirect
12. #78603C2semidirect
13. #78584C2semidirect
34. C3×C8×D4C22semidirect
35. C3×C8×D4C22semidirect
40. #5111C22semidirect
41. C8×#67C22semidirect
42. #5102C22semidirect
43. #5101C22semidirect
44. #5012C22semidirect
45. #5012C22semidirect
48. #4837C22semidirect
49. #4835C22semidirect
50. #4833C22semidirect
51. D3×C4⋊C8C22semidirect
52. #4831C22semidirect
53. #4830C22semidirect
54. #4729C22semidirect
55. #4728C22semidirect
58. #4720C22semidirect
59. #4720C22semidirect
64. C4×ΓL(1,𝔽25)C22semidirect
65. #4685C22semidirect
66. #4685C22semidirect
67. C4×D3×C8C22semidirect
68. #4679C22semidirect
69. C8×Dic6C22semidirect
77. #2972D3semidirect
211. C8×D4C2×D3semidirect
212. C8×D4C2×D3semidirect
691. C3#60290semidirect

Maximal subgroups

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

subgroupindex
C2×#55572
C3×#29722
#823042
#794102
#794082
#794032
#794012
#792822
D3×#4312
#792642
#792632
#786032
#785842
#602903