Finite Group Databasebeta

← #11660629

Subgroups — #11660629

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×#5580C211yesmaximal, characteristic
2C3×#2983C211yesmaximal, characteristic, complemented
3#82435C211yesmaximal, characteristic, complemented
4#79948C214yesmaximal, complemented
5#79947C214yesmaximal, complemented
6#79942C214yesmaximal, complemented
7#79939C214yesmaximal, complemented
8#79336C214yesmaximal, complemented
9#79333C214yesmaximal, complemented
10#79288C211yesmaximal, characteristic, complemented
11#79286C211yesmaximal, characteristic, complemented
12#79282C211yesmaximal, characteristic, complemented
13D3×#431C211yesmaximal, characteristic, complemented
14#60290—31nomaximal, Sylow
15C2×C3×C4×Q8C2211yescharacteristic
16C2×#947C411yescharacteristic
17C2×#946C411yescharacteristic
18#5580C412yes—
19#5580C412yes—
20#5580C412yes—
21#5580C412yes—
22#5580C2212yes—
23#5580C2212yes—
24#5580C2212yes—
25#5580C2212yes—
26C2×#898C412yes—
27C2×#895C411yescharacteristic
28C2×#894C412yes—
29C2×#890C411yescharacteristic
30C2×C4×D12C2211yescharacteristic
31C2×C4×D12C2212yes—
32C2×#872C2212yes—
33C2×C42×D3C2211yescharacteristic
34C3×#446C2214yescomplemented
35C3×#446C2214yescomplemented
36C3×#432C2214yes—
37C3×#431C2211yescharacteristic
38C3×#431C2211yescharacteristic
39Q8×C3⋊C8C2214yescomplemented
40Q8×C3⋊C8C2214yescomplemented
41#4925C2211yescharacteristic
42#4925C2211yescharacteristic
43#4925C2214yes—
44#4840C2218yescomplemented
45#4839C2218yescomplemented
46#4838C2218yescomplemented
47#4838C2214yescomplemented
48#4837C2212yescomplemented
49#4835C2212yescomplemented
50#4834C2214yescomplemented
51#4834C2218yescomplemented
52#4833C2212yescomplemented
53D3×C4⋊C8C2212yescomplemented
54#4726C2212yes—
55#4726C2214yes—
56D3×C22⋊C8C2212yes—
57D3×C22⋊C8C2214yes—
58#4719C2212yes—
59#4718C2212yes—
60#4709C2218yescomplemented
61#4708C2218yescomplemented
62#4706C2218yescomplemented
63#4706C2218yescomplemented
64#4688C2214yescomplemented
65C4×ΓL(1,𝔽25)C2212yescomplemented
66C8×D12C2214yescomplemented
67#4685C2212yescomplemented
68#4685C2212yescomplemented
69C4×D3×C8C2212yescomplemented
70C2×#529—31no—
71#2994—34no—
72#2993—34no—
73#2983D311yescharacteristic, complemented
74#2982—31no—
75#2975—31no—
76#2974—34no—
77#2972—31no—
78#2969—34no—
79#2966—34no—
80#2924—34no—
81#2920—31no—
82C2×#431—31no—
83C22×C3×Q8C2×C411yescharacteristic
84C22×D12C2×C411yescharacteristic
85C22×D12C2×C412yes—
86C22×C4×D3C2×C411yescharacteristic
87C22×C4×D3C2×C411yescharacteristic
88C22×C4×D3C2311yescharacteristic
89C22×C4×D3C2312yes—
90C3×C4×Q8C2×C412yes—
91C3×C4×Q8C2×C412yes—
92C3×C4×Q8C2312yes—
93C3×C4×Q8C2312yes—
94C2×C3×C4⋊C4C2×C411yescharacteristic
95C2×C3×C4⋊C4C2×C412yes—
96C2×C3×C42C2311yescharacteristic
97C2×C3×C42C2312yes—
98#947C2×C412yes—
99#947C2×C412yes—
100#947C2×C412yes—
101#947C2×C412yes—
102#946C2×C412yes—
103#946C2×C412yes—
104#946C2×C412yes—
105#946C2×C412yes—
106C2×(C2×D3)⋊C4C2×C412yes—
107C2×(C2×D3)⋊C4C2×C412yes—
108C2×(C2×D3)⋊C4C2×C412yes—
109C2×(C2×D3)⋊C4C2×C412yes—
110C2×(C2×D3)⋊C4C2×C412yes—
111C2×C4⋊Dic3C2×C412yes—
112C2×C4⋊Dic3C2×C411yescharacteristic
113C2×Dic3⋊C4C2×C412yes—
114C2×Dic3⋊C4C2×C412yes—
115C2×C4×Dic3C2×C411yescharacteristic
116C2×C4×Dic3C2×C411yescharacteristic
117C2×C4×Dic3C2311yescharacteristic
118C2×ΓL(1,𝔽25)C2314yes—
119C2×ΓL(1,𝔽25)C2318yes—
120C2×D3×C8C2314yes—
121C2×D3×C8C2318yes—
122#898C2×C414yes—
123#898C2×C414yes—
124#898C2×C414yes—
125#898C2×C414yes—
126#895C2×C412yes—
127#895C2×C412yes—
128#895C2×C412yes—
129#895C2×C412yes—
130#894C2×C414yes—
131#894C2×C414yes—
132#894C2×C414yes—
133#894C2×C414yes—
134#890C2×C412yes—
135#890C2×C412yes—
136#890C2×C412yes—
137#890C2×C412yes—
138C4×D12C2×C414yes—
139C4×D12C2×C414yes—
140C4×D12C2×C412yes—
141C4×D12C2×C412yes—
142C4×D12C2312yes—
143C4×D12C2312yes—
144C4×D12C2314yes—
145C4×D12C2314yes—
146#872C2×C414yes—
147#872C2×C414yes—
148#872C2314yes—
149#872C2314yes—
150C42×D3C2×C411yescharacteristic
151C42×D3C2×C411yescharacteristic
152C42×D3C2×C411yescharacteristic
153C42×D3C2×C411yescharacteristic
154C42×D3C2311yescharacteristic
155C42×D3C2311yescharacteristic
156C42×D3C2311yescharacteristic
157C42×D3C2311yescharacteristic
158C3×C4⋊C8C2312yes—
159C3×C4⋊C8C2312yes—
160C3×C4⋊C8C2318yes—
161C3×C22⋊C8C2312yes—
162C3×C22⋊C8C2312yes—
163C3×#97C2318yes—
164C3×C4×C8C2312yes—
165C3×C4×C8C2312yes—
166#830C2312yes—
167#830C2312yes—
168(C2×D3)⋊C8C2314yes—
169(C2×D3)⋊C8C2314yes—
170(C2×D3)⋊C8C2318yes—
171(C2×D3)⋊C8C2318yes—
172#815C2314yes—
173Dic3⋊C8C2314yes—
174Dic3⋊C8C2314yes—
175C8×Dic3C2314yes—
176C4⋊(C3⋊C8)C2312yes—
177C4⋊(C3⋊C8)C2312yes—
178C4⋊(C3⋊C8)C2318yes—
179C4×C3⋊C8C2312yes—
180C4×C3⋊C8C2312yes—
181C4×C3⋊C8C2318yes—
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×Q8C2×D311yescharacteristic
197C2×C4×D4—31no—
198C2×C4×D4—32no—
199C2×#117—32no—
200C22×C42—31no—
201#446C2×D314yescomplemented
202#446C2×D314yescomplemented
203C8×Q8—34no—
204C8×Q8—34no—
205#436—38no—
206#436—34no—
207#436—34no—
208#435—38no—
209#435—38no—
210C8×D4—34no—
211C8×D4—38no—
212C8×D4—34no—
213#433—38no—
214#433—38no—
215#432—32no—
216#432—32no—
217#432C2×D314yes—
218#431—31no—
219#431—31no—
220#431—34no—
221#431—32no—
222#431—32no—
223#431—32no—
224#431—32no—
225#431C2×D311yescharacteristic
226#431C2×D311yescharacteristic
227#424—38no—
228#423—32no—
229C2×C4⋊C8—32no—
230#407—32no—
231#407—34no—
232C2×C22⋊C8—32no—
233C2×C22⋊C8—34no—
234#405—38no—
235C4×M16—32no—
236C2×C4×C8—32no—
237C23×D3C22×C411yescharacteristic
238C23×D3C22×C412yes—
239C2×C3×Q8—24no—
240C2×C3×Q8C22×C412yes—
241C2×C3×Q8C22×C412yes—
242C22×C3×C4C22×C412yes—
243C22×C3×C4C22×C411yescharacteristic
244C22×C3×C4C22×C412yes—
245C22×C3×C4C22×C411yescharacteristic
246C22×C3×C4C2411yescharacteristic
247C22×Dic3C22×C411yescharacteristic
248C22×Dic3C22×C411yescharacteristic
249C22×Dic3C22×C411yescharacteristic
250C22×Dic3C22×C412yes—
251C2×D12—24no—
252C2×D12—44no—
253C2×D12C22×C414yes—
254C2×D12C22×C412yes—
255C2×D12C22×C412yes—
256C2×D12C22×C414yes—
257C2×C4×D3—24no—
258C2×C4×D3—42no—
259C2×C4×D3—44no—
260C2×C4×D3—42no—
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×D3C22×C411yescharacteristic
271C2×C4×D3C22×C414yes—
272C2×C4×D3C2411yescharacteristic
273C2×C4×D3C2411yescharacteristic
274C2×C4×D3C2414yes—
275C2×C3×C8C2414yes—
276C2×C3×C8C2414yes—
277C3×C4⋊C4C22×C412yes—
278C3×C4⋊C4C22×C412yes—
279C3×C4⋊C4C22×C414yes—
280C3×C4⋊C4C22×C414yes—
281C3×C42C22×C411yescharacteristic
282C3×C42C22×C411yescharacteristic
283C3×C42C22×C414yes—
284C3×C42C2411yescharacteristic
285C3×C42C2411yescharacteristic
286C3×C42C2414yes—
287(C2×D3)⋊C4C22×C414yes—
288(C2×D3)⋊C4C22×C414yes—
289(C2×D3)⋊C4C22×C414yes—
290(C2×D3)⋊C4C22×C414yes—
291(C2×D3)⋊C4C22×C414yes—
292(C2×D3)⋊C4C22×C414yes—
293(C2×D3)⋊C4C22×C414yes—
294(C2×D3)⋊C4C22×C414yes—
295(C2×D3)⋊C4C22×C414yes—
296(C2×D3)⋊C4C22×C414yes—
297C4⋊Dic3C22×C414yes—
298C4⋊Dic3C22×C414yes—
299C4⋊Dic3C22×C412yes—
300C4⋊Dic3C22×C412yes—
301Dic3⋊C4C22×C414yes—
302Dic3⋊C4C22×C414yes—
303Dic3⋊C4C22×C414yes—
304Dic3⋊C4C22×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×Dic3C2411yescharacteristic
317C2×C3⋊C8C2414yes—
318C2×C3⋊C8C2414yes—
319ΓL(1,𝔽25)—44no—
320ΓL(1,𝔽25)—48no—
321D3×C8—48no—
322D3×C8—44no—
323C22×Q8C4×D311yescharacteristic
324C22×D4—31no—
325C22×D4—32no—
326C23×C4—31no—
327C23×C4—31no—
328C23×C4—32no—
329C23×C4—31no—
330C2×M16—34no—
331C2×M16—38no—
332C22×C8—34no—
333C22×C8—38no—
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×Q8C4×D312yes—
359C4×Q8C4×D312yes—
360C4×Q8C22×D312yes—
361C4×Q8C22×D312yes—
362C4×D4—32no—
363C4×D4—32no—
364C4×D4—34no—
365C4×D4—34no—
366C4×D4—34no—
367C4×D4—32no—
368C4×D4—32no—
369C4×D4—34no—
370#117—34no—
371#117—34no—
372#117—34no—
373#117—34no—
374C2×C4⋊C4—32no—
375C2×C4⋊C4—32no—
376C2×C4⋊C4—31no—
377C2×C4⋊C4—32no—
378C2×C4⋊C4C4×D311yescharacteristic
379C2×C4⋊C4C4×D312yes—
380C2×C22⋊C4—32no—
381C2×C22⋊C4—32no—
382C2×C22⋊C4—32no—
383C2×C22⋊C4—32no—
384C2×C22⋊C4—32no—
385C2×C42—31no—
386C2×C42—31no—
387C2×C42—31no—
388C2×C42—31no—
389C2×C42—31no—
390C2×C42—31no—
391C2×C42—31no—
392C2×C42—31no—
393C2×C42—31no—
394C2×C42—31no—
395C2×C42—31no—
396C2×C42C22×D312yes—
397C2×C42C22×D311yescharacteristic
398C4⋊C8—34no—
399C4⋊C8—34no—
400C4⋊C8—32no—
401C4⋊C8—32no—
402C4⋊C8—38no—
403C4⋊C8C22×D312yes—
404C4⋊C8C22×D312yes—
405C4⋊C8C22×D318yes—
406C22⋊C8—32no—
407C22⋊C8—32no—
408C22⋊C8—34no—
409C22⋊C8—38no—
410C22⋊C8—34no—
411C22⋊C8—38no—
412C22⋊C8C22×D312yes—
413C22⋊C8C22×D312yes—
414#97—34no—
415#97C22×D318yes—
416C4×C8—34no—
417C4×C8—32no—
418C4×C8—32no—
419C4×C8—38no—
420C4×C8C22×D312yes—
421C4×C8C22×D312yes—
422C23×C3C23×C411yescharacteristic
423C22×D3—22no—
424C22×D3—24no—
425C22×D3—22no—
426C22×D3—41no—
427C22×D3—42no—
428C22×D3—42no—
429C22×D3C23×C414yes—
430C22×D3C23×C411yescharacteristic
431C22×D3C23×C411yescharacteristic
432C3×Q8—24no—
433C3×Q8—24no—
434C2×C3×C4—24no—
435C2×C3×C4—22no—
436C2×C3×C4—41no—
437C2×C3×C4—42no—
438C2×C3×C4#13114yes—
439C2×C3×C4C23×C411yescharacteristic
440C2×C3×C4C23×C411yescharacteristic
441C2×C3×C4C23×C411yescharacteristic
442C2×C3×C4C23×C414yes—
443C2×C3×C4C23×C414yes—
444C2×C3×C4C23×C411yescharacteristic
445C2×C3×C4C23×C411yescharacteristic
446C2×C3×C4C2511yescharacteristic
447C2×Dic3—22no—
448C2×Dic3—41no—
449C2×Dic3—42no—
450C2×Dic3—41no—
451C2×Dic3C23×C411yescharacteristic
452C2×Dic3C23×C411yescharacteristic
453C2×Dic3C23×C411yescharacteristic
454C2×Dic3C23×C411yescharacteristic
455C2×Dic3C23×C411yescharacteristic
456C2×Dic3C23×C411yescharacteristic
457C2×Dic3C23×C414yes—
458D12—28no—
459D12—24no—
460D12—24no—
461D12—44no—
462C4×D3—22no—
463C4×D3—22no—
464C4×D3—22no—
465C4×D3—22no—
466C4×D3—22no—
467C4×D3—22no—
468C4×D3—22no—
469C4×D3—28no—
470C4×D3—22no—
471C4×D3—41no—
472C4×D3—41no—
473C4×D3—44no—
474C4×D3—41no—
475C4×D3—41no—
476C3×C8—24no—
477C3×C8—24no—
478C3⋊C8—24no—
479C3⋊C8—24no—
480C24—31no—
481C24—32no—
482C2×Q8—24no—
483C2×Q8C2×C4×D312yes—
484C2×Q8C2×C4×D312yes—
485C2×D4—34no—
486C2×D4—32no—
487C2×D4—32no—
488C2×D4—34no—
489C2×D4—64no—
490C2×D4—124no—
491C22×C4—31no—
492C22×C4—31no—
493C22×C4—31no—
494C22×C4—32no—
495C22×C4—31no—
496C22×C4—31no—
497C22×C4—31no—
498C22×C4—31no—
499C22×C4—31no—
500C22×C4—31no—
501C22×C4—31no—
502C22×C4—31no—
503C22×C4—34no—
504C22×C4—31no—
505C22×C4—31no—
506C22×C4—31no—
507C22×C4—31no—
508C22×C4—34no—
509C22×C4—64no—
510C22×C4—122no—
511C22×C4—124no—
512C22×C4—122no—
513C22×C4C2×C4×D312yes—
514C22×C4C2×C4×D311yescharacteristic
515C22×C4C2×C4×D312yes—
516C22×C4C2×C4×D311yescharacteristic
517C22×C4C23×D311yescharacteristic
518M16—124no—
519M16—128no—
520C2×C8—34no—
521C2×C8—34no—
522C2×C8—128no—
523C2×C8—124no—
524C2×C8C23×D314yes—
525C2×C8C23×D314yes—
526C4⋊C4—34no—
527C4⋊C4—34no—
528C4⋊C4—34no—
529C4⋊C4—34no—
530C4⋊C4—32no—
531C4⋊C4—32no—
532C4⋊C4—34no—
533C4⋊C4—34no—
534C4⋊C4C2×C4×D312yes—
535C4⋊C4C2×C4×D312yes—
536C4⋊C4C2×C4×D314yes—
537C4⋊C4C2×C4×D314yes—
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⋊C4—34no—
547C22⋊C4—34no—
548C42—31no—
549C42—31no—
550C42—31no—
551C42—31no—
552C42—31no—
553C42—31no—
554C42—31no—
555C42—31no—
556C42—31no—
557C42—31no—
558C42—31no—
559C42—31no—
560C42C2×C4×D311yescharacteristic
561C42C2×C4×D311yescharacteristic
562C42C2×C4×D314yes—
563C42C23×D311yescharacteristic
564C42C23×D311yescharacteristic
565C42C23×D314yes—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3C2×#13112yes—
569C22×C3C24×C411yescharacteristic
570C2×D3—21no—
571C2×D3—21no—
572C2×D3—21no—
573C2×D3—24no—
574C2×D3—21no—
575C2×D3—24no—
576C2×D3—21no—
577C2×D3—24no—
578C2×D3—44no—
579C2×D3—84no—
580C2×D3#56812yes—
581C3×C4—21no—
582C3×C4—24no—
583C3×C4—21no—
584C3×C4—21no—
585C3×C4—24no—
586C3×C4C2×#13112yes—
587C3×C4C2×#13112yes—
588C3×C4#58512yes—
589Dic3—21no—
590Dic3—24no—
591Dic3—21no—
592Dic3—21no—
593Dic3—21no—
594Dic3—21no—
595Dic3—21no—
596C23—31no—
597C23—34no—
598C23—31no—
599C23—62no—
600C23—62no—
601C23—64no—
602C23—121no—
603C23—122no—
604C23—122no—
605C23C22×C4×D311yescharacteristic
606Q8—24no—
607Q8—24no—
608D4—68no—
609D4—64no—
610D4—64no—
611D4—124no—
612C2×C4—24no—
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—41no—
622C2×C4—42no—
623C2×C4—62no—
624C2×C4—62no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—68no—
628C2×C4—62no—
629C2×C4—62no—
630C2×C4—62no—
631C2×C4—62no—
632C2×C4—62no—
633C2×C4—121no—
634C2×C4—121no—
635C2×C4—124no—
636C2×C4—121no—
637C2×C4—121no—
638C2×C4—121no—
639C2×C4—122no—
640C2×C4—121no—
641C2×C4#90714yes—
642C2×C4C22×C4×D311yescharacteristic
643C2×C4C22×C4×D311yescharacteristic
644C2×C4C22×C4×D311yescharacteristic
645C2×C4C22×C4×D314yes—
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#342811yescharacteristic
656C2×C3C22×#13111yescharacteristic
657C2×C3C2×#56811yescharacteristic
658D3—22no—
659D3—41no—
660D3—44no—
661C22—21no—
662C22—21no—
663C22—32no—
664C22—61no—
665C22—61no—
666C22—61no—
667C22—64no—
668C22—61no—
669C22—64no—
670C22—61no—
671C22—64no—
672C22—124no—
673C22—244no—
674C22C2×#90712yes—
675C22C23×C4×D311yescharacteristic
676C4—21no—
677C4—24no—
678C4—21no—
679C4—21no—
680C4—24no—
681C4—61no—
682C4—61no—
683C4—64no—
684C4—61no—
685C4—61no—
686C4—61no—
687C4—61no—
688C4C2×#90712yes—
689C4C2×#90712yes—
690C4#596812yes—
691C3#6029011yescharacteristic, complemented, Sylow
692C2—22no—
693C2—62no—
694C2—121no—
695C2—124no—
696C2#8587211yescharacteristic
697C2C22×#90711yescharacteristic
698C2D3×#56811yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D3
commutator, socleC22×C3C24×C4
FittingC3×#2983C2
prime radicalC2×#895C4
cosocleC2×C3×C4C25
hypercenter#2983D3
hypocenterC3#60290
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ #2983

Complements

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

NH ≅ G/Ntype
2. C3×#2983C2semidirect
3. #82435C2semidirect
4. #79948C2semidirect
5. #79947C2semidirect
6. #79942C2semidirect
7. #79939C2semidirect
8. #79336C2semidirect
9. #79333C2semidirect
10. #79288C2semidirect
11. #79286C2semidirect
12. #79282C2semidirect
13. D3×#431C2semidirect
34. C3×#446C22semidirect
35. C3×#446C22semidirect
39. Q8×C3⋊C8C22semidirect
40. Q8×C3⋊C8C22semidirect
44. #4840C22semidirect
45. #4839C22semidirect
46. #4838C22semidirect
47. #4838C22semidirect
48. #4837C22semidirect
49. #4835C22semidirect
50. #4834C22semidirect
51. #4834C22semidirect
52. #4833C22semidirect
53. D3×C4⋊C8C22semidirect
60. #4709C22semidirect
61. #4708C22semidirect
62. #4706C22semidirect
63. #4706C22semidirect
64. #4688C22semidirect
65. C4×ΓL(1,𝔽25)C22semidirect
66. C8×D12C22semidirect
67. #4685C22semidirect
68. #4685C22semidirect
69. C4×D3×C8C22semidirect
73. #2983D3semidirect
201. #446C2×D3semidirect
202. #446C2×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×#55802
C3×#29832
#824352
#799482
#799472
#799422
#799392
#793362
#793332
#792882
#792862
#792822
D3×#4312
#602903