Finite Group Databasebeta

← #11660399

Subgroups — #11660399

Order 768.

1786 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
1#86273C211yesmaximal, characteristic
2C3×#2961C211yesmaximal, characteristic, complemented
3#83328C211yesmaximal, characteristic, complemented
4#79949C214yesmaximal, complemented
5#79948C214yesmaximal, complemented
6#79947C214yesmaximal, complemented
7#79946C214yesmaximal, complemented
8#79081C212yesmaximal, complemented
9#79075C212yesmaximal, complemented
10#79048C211yesmaximal, characteristic, complemented
11#79041C211yesmaximal, characteristic, complemented
12#78555C212yesmaximal, complemented
13#78552C212yesmaximal, complemented
14#78491C211yesmaximal, characteristic, complemented
15C2×#4709C211yesmaximal, characteristic, complemented
16#60270—31nomaximal, Sylow
17C3×#533C2211yescharacteristic
18C2×#907C2212yes—
19C2×D3×M16C2212yes—
20C2×#901C2212yes—
21#5733C412yes—
22#5733C412yes—
23#5698C412yes—
24#5697C412yes—
25#5645C412yes—
26#5645C412yes—
27#5644C412yes—
28#5644C412yes—
29#5580C2214yes—
30#5580C2214yes—
31#5524C2212yes—
32#5522C2212yes—
33#5477C2211yescharacteristic
34C2×#872C2211yescharacteristic
35C3×#446C2214yescomplemented
36C3×#446C2214yescomplemented
37C3×#424C2212yes—
38C3×#423C2211yescharacteristic
39C3×#405C2212yes—
40C2×C3×#97C2211yescharacteristic
41#5129C2212yes—
42#5118C2212yes—
43#5110C2212yes—
44C2×(C2×D3)⋊C8C2211yescharacteristic
45C2×(C2×D3)⋊C8C2211yescharacteristic
46C2×Dic3⋊C8C2211yescharacteristic
47C2×Dic3⋊C8C2211yescharacteristic
48#5024C2212yescomplemented
49#5024C2212yescomplemented
50Q8×C3⋊C8C2212yescomplemented
51Q8×C3⋊C8C2212yescomplemented
52#4999C2212yes—
53#4997C2212yes—
54#4924C2211yescharacteristic
55C2×C4×C3⋊C8C2211yescharacteristic
56#4839C2214yes—
57#4839C2214yes—
58#4839C2214yescomplemented
59#4839C2214yescomplemented
60#4838C2214yes—
61#4838C2212yescomplemented
62#4838C2212yescomplemented
63#4837C2214yescomplemented
64#4836C2214yes—
65#4836C2214yes—
66#4834C2214yes—
67#4834C2212yescomplemented
68#4834C2212yescomplemented
69D3×C4⋊C8C2214yescomplemented
70#4709C2212yes—
71#4709C2212yes—
72#4709C2212yes—
73#4709C2212yes—
74#4709C2214yescomplemented
75#4706C2214yes—
76#4706C2214yes—
77#4706C2214yescomplemented
78#4706C2214yescomplemented
79#4705C2214yescomplemented
80#4690C2214yescomplemented
81#4688C2214yes—
82C8×D12C2214yes—
83#4685C2214yescomplemented
84#3455—31no—
85#2995—34no—
86#2994—34no—
87#2993—34no—
88#2992—34no—
89#2961D311yescharacteristic, complemented
90#2960—31no—
91#2933—32no—
92#2933—32no—
93#2932—31no—
94#2931—31no—
95#2925—32no—
96C2×#433—31no—
97#2906—32no—
98#2905—31no—
99C2×#235C2312yes—
100C22×C4×D3C2311yescharacteristic
101C2×C3×M16C2312yes—
102C22×C3×C8C2311yescharacteristic
103C22×C3×C8C2311yescharacteristic
104C3×C4⋊Q8C2×C411yescharacteristic
105C3×C4⋊Q8C2×C411yescharacteristic
106C3×#125C2×C412yes—
107C3×C22⋊Q8C2×C412yes—
108C3×C22⋊Q8C2×C412yes—
109C3×C4×Q8C2312yes—
110C3×C4×Q8C2312yes—
111C3×#117C2312yes—
112C2×C3×C42C2311yescharacteristic
113#947C2×C414yes—
114#947C2×C414yes—
115#946C2×C414yes—
116#946C2×C414yes—
117#930C2×C412yes—
118#930C2×C412yes—
119C2×(C2×D3)⋊C4C2×C411yescharacteristic
120C2×(C2×D3)⋊C4C2×C411yescharacteristic
121C2×Dic3⋊C4C2×C411yescharacteristic
122C2×Dic3⋊C4C2×C411yescharacteristic
123C2×C4×Dic3C2311yescharacteristic
124C2×#208C2312yes—
125C22×C3⋊C8C2311yescharacteristic
126C22×C3⋊C8C2311yescharacteristic
127#907—44no—
128D3×M16—44no—
129#901—44no—
130C2×ΓL(1,𝔽25)C2314yes—
131C2×ΓL(1,𝔽25)C2314yes—
132C2×ΓL(1,𝔽25)C2314yes—
133C2×D3×C8C2314yes—
134C2×D3×C8C2314yes—
135C2×D3×C8C2314yes—
136#898C2×C414yes—
137#898C2×C414yes—
138#898C2×C414yes—
139#898C2×C414yes—
140#897C2×C412yes—
141#897C2×C412yes—
142#895C2×C414yes—
143#895C2×C414yes—
144#895C2×C412yes—
145#895C2×C412yes—
146#894C2×C414yes—
147#894C2×C414yes—
148#894C2×C414yes—
149#894C2×C414yes—
150#893C2×C412yes—
151#893C2×C412yes—
152#890C2×C414yes—
153#890C2×C414yes—
154#887C2×C412yes—
155#887C2×C412yes—
156#886C2×C414yes—
157#882C2×C414yes—
158#67⋊C4C2×C414yes—
159#67⋊C4C2×C414yes—
160#875C2×C412yes—
161#874C2×C411yescharacteristic
162C4×D12C2314yes—
163C4×D12C2314yes—
164C4×D12C2312yes—
165C4×D12C2312yes—
166#872C2×C412yes—
167#872C2×C412yes—
168#872C2314yes—
169#872C2312yes—
170#872C2312yes—
171C42×D3C2314yes—
172#869C2×C411yescharacteristic
173C3×C4⋊C8C2312yes—
174C3×C4⋊C8C2312yes—
175C3×C4⋊C8C2314yes—
176C3×C4⋊C8C2314yes—
177C3×#97C2314yes—
178C3×#97C2312yes—
179C3×#97C2312yes—
180C3×C4×C8C2314yes—
181(C2×D3)⋊C8C2314yes—
182(C2×D3)⋊C8C2314yes—
183(C2×D3)⋊C8C2314yes—
184(C2×D3)⋊C8C2312yes—
185(C2×D3)⋊C8C2314yes—
186(C2×D3)⋊C8C2312yes—
187(C2×D3)⋊C8C2312yes—
188(C2×D3)⋊C8C2312yes—
189Dic3⋊C8C2312yes—
190Dic3⋊C8C2314yes—
191Dic3⋊C8C2312yes—
192Dic3⋊C8C2314yes—
193Dic3⋊C8C2312yes—
194Dic3⋊C8C2312yes—
195C4⋊(C3⋊C8)C2312yes—
196C4⋊(C3⋊C8)C2312yes—
197C4⋊(C3⋊C8)C2314yes—
198C4⋊(C3⋊C8)C2314yes—
199#803C2314yes—
200C4×C3⋊C8C2311yescharacteristic
201C4×C3⋊C8C2311yescharacteristic
202C4×C3⋊C8C2311yescharacteristic
203C4×C3⋊C8C2311yescharacteristic
204C4×C3⋊C8C2314yes—
205C2×#131—32no—
206C2×#131—32no—
207C22×M16—32no—
208#542—32no—
209#542—32no—
210#541—32no—
211#540—32no—
212#539—32no—
213#539—32no—
214#538—32no—
215#538—32no—
216#533C2×D311yescharacteristic
217#532—31no—
218#529—34no—
219#529—34no—
220#525—32no—
221C4×#41—32no—
222C2×#117—31no—
223#446—32no—
224#446—32no—
225#446C2×D314yescomplemented
226#446C2×D314yescomplemented
227C8×Q8—32no—
228C8×Q8—32no—
229#436—32no—
230#436—32no—
231#436—34no—
232#436—34no—
233#435—34no—
234#435—34no—
235#435—34no—
236#435—34no—
237#435—34no—
238#435—34no—
239C8×D4—32no—
240C8×D4—32no—
241C8×D4—34no—
242C8×D4—34no—
243#433—32no—
244#433—32no—
245#433—32no—
246#433—32no—
247#433—34no—
248#433—34no—
249#432—34no—
250#431—34no—
251#424—32no—
252#424—34no—
253#424—34no—
254#424—34no—
255#424—34no—
256#424C2×D312yes—
257#423—32no—
258#423—31no—
259#423—34no—
260#423C2×D311yescharacteristic
261C2×C4⋊C8—31no—
262C2×C4⋊C8—31no—
263C2×C4⋊C8—34no—
264#408—32no—
265#408—32no—
266C2×C22⋊C8—31no—
267C2×C22⋊C8—31no—
268#405—32no—
269#405C2×D312yes—
270C2×#97C2×D311yescharacteristic
271C2×C4×C8—31no—
272C23×D3C22×C411yescharacteristic
273C2×C3×Q8C22×C412yes—
274C2×C3×Q8C22×C412yes—
275C22×C3×C4C22×C411yescharacteristic
276C22×C3×C4C22×C411yescharacteristic
277C22×C3×C4C2411yescharacteristic
278C2×#67C22×C414yes—
279C22×Dic3C22×C411yescharacteristic
280C22×Dic3C22×C411yescharacteristic
281C22×Dic3C22×C411yescharacteristic
282#235—24no—
283#235—24no—
284C2×D12C22×C412yes—
285C2×D12C22×C412yes—
286C2×D12C22×C412yes—
287C2×D12C22×C414yes—
288C2×D12C22×C414yes—
289C2×C4×D3—22no—
290C2×C4×D3—22no—
291C2×C4×D3C22×C412yes—
292C2×C4×D3C22×C414yes—
293C2×C4×D3C22×C414yes—
294C2×C4×D3C2414yes—
295C2×C4×D3C2412yes—
296C2×Dic6C22×C412yes—
297C3×M16—24no—
298C2×C3×C8—22no—
299C2×C3×C8—22no—
300C2×C3×C8C2412yes—
301C2×C3×C8C2414yes—
302C2×C3×C8C2412yes—
303C3×C4⋊C4C22×C412yes—
304C3×C4⋊C4C22×C412yes—
305C3×C4⋊C4C22×C414yes—
306C3×C4⋊C4C22×C414yes—
307C3×C4⋊C4C22×C412yes—
308C3×C4⋊C4C22×C412yes—
309C3×C22⋊C4C22×C414yes—
310C3×C42C22×C411yescharacteristic
311C3×C42C22×C411yescharacteristic
312C3×C42C2411yescharacteristic
313C3×C42C2411yescharacteristic
314C3×C42C2414yes—
315(C2×D3)⋊C4C22×C412yes—
316(C2×D3)⋊C4C22×C412yes—
317(C2×D3)⋊C4C22×C412yes—
318(C2×D3)⋊C4C22×C412yes—
319(C2×D3)⋊C4C22×C414yes—
320(C2×D3)⋊C4C22×C414yes—
321(C2×D3)⋊C4C22×C414yes—
322(C2×D3)⋊C4C22×C414yes—
323(C2×D3)⋊C4C22×C414yes—
324(C2×D3)⋊C4C22×C414yes—
325(C2×D3)⋊C4C22×C414yes—
326(C2×D3)⋊C4C22×C414yes—
327C4⋊Dic3C22×C412yes—
328C4⋊Dic3C22×C412yes—
329C4⋊Dic3C22×C414yes—
330C4⋊Dic3C22×C414yes—
331Dic3⋊C4C22×C412yes—
332Dic3⋊C4C22×C412yes—
333Dic3⋊C4C22×C412yes—
334Dic3⋊C4C22×C412yes—
335Dic3⋊C4C22×C414yes—
336Dic3⋊C4C22×C414yes—
337C4×Dic3C22×C414yes—
338C4×Dic3C22×C414yes—
339C4×Dic3C22×C412yes—
340C4×Dic3C2412yes—
341#208—24no—
342C2×C3⋊C8—22no—
343C2×C3⋊C8—22no—
344C2×C3⋊C8C2411yescharacteristic
345C2×C3⋊C8C2411yescharacteristic
346C2×C3⋊C8C2411yescharacteristic
347C2×C3⋊C8C2411yescharacteristic
348C2×C3⋊C8C2414yes—
349ΓL(1,𝔽25)—44no—
350ΓL(1,𝔽25)—44no—
351ΓL(1,𝔽25)—44no—
352D3×C8—44no—
353D3×C8—44no—
354D3×C8—44no—
355C2×#41—32no—
356C23×C4—31no—
357#131—124no—
358#131—124no—
359C2×M16—32no—
360C2×M16—34no—
361C2×M16—34no—
362C2×M16—34no—
363C2×M16—124no—
364C2×M16C22×D312yes—
365C22×C8—31no—
366C22×C8—31no—
367C22×C8—34no—
368C22×C8—34no—
369C22×C8—34no—
370C22×C8C22×D311yescharacteristic
371C22×C8C22×D311yescharacteristic
372C4⋊Q8—31no—
373C4⋊Q8C4×D311yescharacteristic
374C4⋊Q8C4×D311yescharacteristic
375#127—31no—
376#126—34no—
377#126—34no—
378#126—34no—
379#126—34no—
380#125—34no—
381#125—34no—
382#125C4×D312yes—
383#124—34no—
384#124—34no—
385#124—32no—
386#123—34no—
387#123—34no—
388#123—34no—
389#123—34no—
390#123—34no—
391C22⋊Q8—34no—
392C22⋊Q8—34no—
393C22⋊Q8—32no—
394C22⋊Q8—32no—
395C22⋊Q8C4×D312yes—
396C22⋊Q8C4×D312yes—
397#121—32no—
398#121—32no—
399#121—32no—
400#121—32no—
401#121—34no—
402#121—34no—
403#120—34no—
404C4×Q8—32no—
405C4×Q8—32no—
406C4×Q8C22×D312yes—
407C4×Q8C22×D312yes—
408C4×D4—32no—
409C4×D4—32no—
410C4×D4—34no—
411C4×D4—34no—
412C4×D4—34no—
413C4×D4—34no—
414C4×D4—32no—
415C4×D4—32no—
416#117—32no—
417#117—32no—
418#117—32no—
419#117—32no—
420#117—34no—
421#117C22×D312yes—
422C2×C4⋊C4—31no—
423C2×C4⋊C4—31no—
424C2×C22⋊C4—31no—
425C2×C22⋊C4—31no—
426C2×C42—31no—
427C2×C42—34no—
428C2×C42C22×D311yescharacteristic
429C4⋊C8—32no—
430C4⋊C8—32no—
431C4⋊C8—34no—
432C4⋊C8—32no—
433C4⋊C8—32no—
434C4⋊C8—34no—
435C4⋊C8—34no—
436C4⋊C8—32no—
437C4⋊C8—32no—
438C4⋊C8—34no—
439C4⋊C8C22×D314yes—
440C4⋊C8C22×D314yes—
441C4⋊C8C22×D312yes—
442C4⋊C8C22×D312yes—
443C22⋊C8—32no—
444C22⋊C8—32no—
445C22⋊C8—32no—
446C22⋊C8—32no—
447C22⋊C8—34no—
448C22⋊C8—34no—
449C22⋊C8—34no—
450C22⋊C8—34no—
451#97—34no—
452#97C22×D312yes—
453#97C22×D312yes—
454#97C22×D314yes—
455C4×C8—31no—
456C4×C8—31no—
457C4×C8—31no—
458C4×C8—31no—
459C4×C8—34no—
460C4×C8C22×D314yes—
461C23×C3C23×C411yescharacteristic
462C22×D3—22no—
463C22×D3—41no—
464C22×D3—41no—
465C22×D3C23×C412yes—
466C22×D3C23×C414yes—
467C3×Q8—42no—
468C3×Q8—42no—
469C2×C3×C4—41no—
470C2×C3×C4—41no—
471C2×C3×C4C23×C414yes—
472C2×C3×C4C23×C414yes—
473C2×C3×C4C23×C411yescharacteristic
474C2×C3×C4C23×C411yescharacteristic
475C2×C3×C4C23×C411yescharacteristic
476C2×C3×C4C23×C411yescharacteristic
477C2×C3×C4C23×C411yescharacteristic
478C2×C3×C4H(5,𝔽2)12yes—
479C2×C3×C42−1+412yes—
480C2×C3×C4C2511yescharacteristic
481#67—28no—
482C2×Dic3—22no—
483C2×Dic3—41no—
484C2×Dic3—41no—
485C2×Dic3C23×C412yes—
486C2×Dic3C23×C412yes—
487C2×Dic3C23×C414yes—
488C2×Dic3C23×C412yes—
489D12—24no—
490D12—44no—
491D12—44no—
492D12—42no—
493D12—42no—
494C4×D3—24no—
495C4×D3—22no—
496C4×D3—24no—
497C4×D3—22no—
498C4×D3—24no—
499C4×D3—44no—
500C4×D3—44no—
501Dic6—24no—
502C3×C8—22no—
503C3×C8—24no—
504C3×C8—22no—
505C3⋊C8—21no—
506C3⋊C8—24no—
507C3⋊C8—21no—
508C3⋊C8—21no—
509C3⋊C8—21no—
510C24—31no—
511#41—64no—
512#41—64no—
513C2×Q8—32no—
514C2×Q8C2×C4×D312yes—
515C2×Q8C2×C4×D312yes—
516C2×D4—34no—
517C2×D4—32no—
518C2×D4—34no—
519C2×D4—34no—
520C2×D4—32no—
521C2×D4—32no—
522C22×C4—31no—
523C22×C4—31no—
524C22×C4—31no—
525C22×C4—32no—
526C22×C4—34no—
527C22×C4—32no—
528C22×C4—34no—
529C22×C4—34no—
530C22×C4—62no—
531C22×C4—62no—
532C22×C4C2×C4×D311yescharacteristic
533C22×C4C2×C4×D311yescharacteristic
534C22×C4C23×D311yescharacteristic
535M16—24no—
536M16—64no—
537M16—124no—
538M16—124no—
539M16—124no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—31no—
543C2×C8—31no—
544C2×C8—31no—
545C2×C8—31no—
546C2×C8—34no—
547C2×C8—62no—
548C2×C8—62no—
549C2×C8—124no—
550C2×C8—124no—
551C2×C8—124no—
552C2×C8C23×D312yes—
553C2×C8C23×D314yes—
554C2×C8C23×D312yes—
555C4⋊C4—32no—
556C4⋊C4—32no—
557C4⋊C4—32no—
558C4⋊C4—32no—
559C4⋊C4—34no—
560C4⋊C4—34no—
561C4⋊C4—32no—
562C4⋊C4—32no—
563C4⋊C4—34no—
564C4⋊C4—34no—
565C4⋊C4C2×C4×D312yes—
566C4⋊C4C2×C4×D312yes—
567C4⋊C4C2×C4×D314yes—
568C4⋊C4C2×C4×D314yes—
569C4⋊C4C2×C4×D312yes—
570C4⋊C4C2×C4×D312yes—
571C22⋊C4—32no—
572C22⋊C4—32no—
573C22⋊C4—32no—
574C22⋊C4—32no—
575C22⋊C4—34no—
576C22⋊C4—34no—
577C22⋊C4—34no—
578C22⋊C4—34no—
579C22⋊C4—34no—
580C22⋊C4—34no—
581C22⋊C4—34no—
582C22⋊C4—34no—
583C22⋊C4C2×C4×D314yes—
584C42—32no—
585C42—34no—
586C42—34no—
587C42—32no—
588C42C2×C4×D311yescharacteristic
589C42C2×C4×D311yescharacteristic
590C42C23×D311yescharacteristic
591C42C23×D311yescharacteristic
592C42C23×D314yes—
593C22×C3—21no—
594C22×C3—21no—
595C22×C3#52012yes—
596C22×C3C24×C411yescharacteristic
597C2×D3—22no—
598C2×D3—24no—
599C2×D3—24no—
600C2×D3—24no—
601C2×D3—22no—
602C2×D3—22no—
603C2×D3—82no—
604C3×C4—24no—
605C3×C4—24no—
606C3×C4—21no—
607C3×C4—21no—
608C3×C4—21no—
609C3×C4—21no—
610C3×C4#52012yes—
611C3×C4C2×H(5,𝔽2)11yescharacteristic
612C3×C4C2×2−1+411yescharacteristic
613Dic3—24no—
614Dic3—22no—
615Dic3—22no—
616Dic3—22no—
617C23—32no—
618C23—34no—
619C23—62no—
620C23—121no—
621C23—121no—
622C23C22×C4×D311yescharacteristic
623Q8—42no—
624Q8—42no—
625Q8—64no—
626D4—68no—
627D4—64no—
628D4—122no—
629D4—122no—
630D4—124no—
631D4—124no—
632C2×C4—32no—
633C2×C4—32no—
634C2×C4—34no—
635C2×C4—32no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—62no—
639C2×C4—62no—
640C2×C4—64no—
641C2×C4—62no—
642C2×C4—64no—
643C2×C4—64no—
644C2×C4—124no—
645C2×C4—124no—
646C2×C4—121no—
647C2×C4—121no—
648C2×C4C22×C4×D314yes—
649C2×C4C22×C4×D314yes—
650C2×C4C22×C4×D311yescharacteristic
651C2×C4C22×C4×D311yescharacteristic
652C2×C4C22×C4×D311yescharacteristic
653C2×C4C22×C4×D311yescharacteristic
654C2×C4C22×C4×D311yescharacteristic
655C2×C4#100712yes—
656C2×C4#100912yes—
657C2×C4C24×D311yescharacteristic
658C8—22no—
659C8—22no—
660C8—24no—
661C8—61no—
662C8—61no—
663C8—61no—
664C8—61no—
665C8—64no—
666C2×C3—22no—
667C2×C3C2×#52011yescharacteristic
668C2×C3#357311yescharacteristic
669C2×C3#357311yescharacteristic
670D3—44no—
671D3—42no—
672C22—21no—
673C22—21no—
674C22—62no—
675C22—64no—
676C22—64no—
677C22—64no—
678C22—62no—
679C22—62no—
680C22—242no—
681C22#557412yes—
682C22C23×C4×D311yescharacteristic
683C4—21no—
684C4—21no—
685C4—21no—
686C4—21no—
687C4—24no—
688C4—24no—
689C4—62no—
690C4—64no—
691C4—62no—
692C4—62no—
693C4#557412yes—
694C4C2×#100711yescharacteristic
695C4C2×#100911yescharacteristic
696C3#6027011yescharacteristic, complemented, Sylow
697C2—22no—
698C2—122no—
699C2—124no—
700C2C2×#557411yescharacteristic
701C2#8716611yescharacteristic
702C2#8716611yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D3
commutator, socleC22×C3C24×C4
FittingC3×#2961C2
prime radical#86273C2
cosocleC2×C3×C4C25
hypercenter#2961D3
hypocenterC3#60270
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ #2961

Complements

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

NH ≅ G/Ntype
2. C3×#2961C2semidirect
3. #83328C2semidirect
4. #79949C2semidirect
5. #79948C2semidirect
6. #79947C2semidirect
7. #79946C2semidirect
8. #79081C2semidirect
9. #79075C2semidirect
10. #79048C2semidirect
11. #79041C2semidirect
12. #78555C2semidirect
13. #78552C2semidirect
14. #78491C2semidirect
15. C2×#4709C2semidirect
35. C3×#446C22semidirect
36. C3×#446C22semidirect
48. #5024C22semidirect
49. #5024C22semidirect
50. Q8×C3⋊C8C22semidirect
51. Q8×C3⋊C8C22semidirect
58. #4839C22semidirect
59. #4839C22semidirect
61. #4838C22semidirect
62. #4838C22semidirect
63. #4837C22semidirect
67. #4834C22semidirect
68. #4834C22semidirect
69. D3×C4⋊C8C22semidirect
74. #4709C22semidirect
77. #4706C22semidirect
78. #4706C22semidirect
79. #4705C22semidirect
80. #4690C22semidirect
83. #4685C22semidirect
89. #2961D3semidirect
225. #446C2×D3semidirect
226. #446C2×D3semidirect
696. C3#60270semidirect

Maximal subgroups

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

subgroupindex
#862732
C3×#29612
#833282
#799492
#799482
#799472
#799462
#790812
#790752
#790482
#790412
#785552
#785522
#784912
C2×#47092
#602703