Finite Group Databasebeta

← #14915014

Subgroups — #14915014

Order 2816.

2194 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623031C211yesmaximal, characteristic
2#13071717C212yesmaximal, complemented
3#13071711C212yesmaximal, complemented
4#13071702C212yesmaximal, complemented
5#13071696C214yesmaximal
6#13071669C212yesmaximal, complemented
7#13071621C214yesmaximal
8#13071363C212yesmaximal, complemented
9#13071356C212yesmaximal, complemented
10#13071240C211yesmaximal, characteristic
11#13071187C212yesmaximal, complemented
12#13071175C212yesmaximal, complemented
13#13071099C211yesmaximal, characteristic
14#13070973C211yesmaximal, characteristic
15#13070973C211yesmaximal, characteristic
16C4×#66979C211yesmaximal, characteristic
17C2×C11×#389C211yesmaximal, characteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C22×C11×C4⋊C4C2212yes—
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C42×C11C2211yescharacteristic
22C2×#66979C2211yescharacteristic
23C2×#66979C2211yescharacteristic
24C2×#66979C2211yescharacteristic
25C2×#66979C2211yescharacteristic
26C2×#66977C2214yes—
27#10623031C4116yescomplemented
28C2×#66943C2212yes—
29C2×#66943C2212yes—
30C2×#66941C2212yes—
31C2×#66941C2212yes—
32C2×#66940C2214yes—
33C11×#389C2212yes—
34C11×#389C2212yes—
35C11×#389C2212yes—
36C11×#389C2212yes—
37C2×C11×#95C2212yes—
38#10622823C2212yes—
39#10622823C2214yes—
40#10622823C2212yes—
41C4×C22⋊Dic11C2212yes—
42C4×C22⋊Dic11C2214yes—
43C4×C22⋊Dic11C2214yes—
44C4×C22⋊Dic11C2212yes—
45#10622591C2214yes—
46#10622591C2214yes—
47#10622590C2212yes—
48#10622589C2212yes—
49C4⋊C4×Dic11C2212yes—
50C4⋊C4×Dic11C2212yes—
51C4⋊C4×Dic11C2214yes—
52C4⋊C4×Dic11C2212yes—
53C4⋊C4×Dic11C2212yes—
54C4⋊C4×Dic11C2212yes—
55C4⋊C4×Dic11C2212yes—
56C4⋊C4×Dic11C2212yes—
57C4⋊C4×Dic11C2212yes—
58#10622587C2214yes—
59#10622586C2214yes—
60#10622586C2212yes—
61#10622586C2212yes—
62#10622585C2214yes—
63#10622585C2214yes—
64C4×C4⋊Dic11C2211yescharacteristic
65C4×C4⋊Dic11C2211yescharacteristic
66C4×C4⋊Dic11C2211yescharacteristic
67C4×C4⋊Dic11C2211yescharacteristic
68#10622545C2212yes—
69C4×Dic11⋊C4C2212yes—
70C4×Dic11⋊C4C2212yes—
71C42×Dic11C2212yes—
72#10622541C2211yescharacteristic
73#10622541C2211yescharacteristic
74#10622541C2211yescharacteristic
75#10622541C2211yescharacteristic
76#10622266C2214yes—
77#10622266C2214yes—
78#10622265C2214yes—
79#10622265C2214yes—
80#10622262C2214yes—
81#10622262C2214yes—
82#10622259C2214yes—
83#10622259C2214yes—
84C23×C4×C11C2311yescharacteristic
85C23×C4×C11C2311yescharacteristic
86C23×C4×C11C2312yes—
87C23×C4×C11C2312yes—
88C23×C4×C11C2311yescharacteristic
89C22×Dic22C2314yes—
90C2×C11×C4⋊C4—24no—
91C2×C11×C4⋊C4—44no—
92C2×C11×C4⋊C4C2×C418yes—
93C2×C11×C4⋊C4C2314yes—
94C2×C11×C4⋊C4C2312yes—
95C2×C11×C4⋊C4C2312yes—
96C2×C11×C4⋊C4C2314yes—
97C2×C11×C4⋊C4C2312yes—
98C2×C11×C4⋊C4C2312yes—
99C2×C42×C11—24no—
100C2×C42×C11C2311yescharacteristic
101C2×C42×C11C2311yescharacteristic
102C2×C42×C11C2311yescharacteristic
103C2×C42×C11C2311yescharacteristic
104C2×C22⋊Dic11C2312yes—
105C2×C22⋊Dic11C2312yes—
106C2×C22⋊Dic11C2312yes—
107C2×C22⋊Dic11C2312yes—
108#66979—24no—
109#66979C2×C418yes—
110#66979C2×C418yes—
111#66979Q818yescomplemented
112C2×C4⋊Dic11C2311yescharacteristic
113C2×C4⋊Dic11C2311yescharacteristic
114C2×C4⋊Dic11C2311yescharacteristic
115C2×C4⋊Dic11C2311yescharacteristic
116C2×C4⋊Dic11C2314yes—
117C2×C4⋊Dic11C2311yescharacteristic
118C2×C4⋊Dic11C2311yescharacteristic
119C2×C4⋊Dic11C2311yescharacteristic
120C2×C4⋊Dic11C2311yescharacteristic
121#66977C2×C4132yes—
122C2×Dic11⋊C4C2312yes—
123C2×Dic11⋊C4C2312yes—
124C2×Dic11⋊C4C2312yes—
125C2×Dic11⋊C4C2314yes—
126C2×Dic11⋊C4C2314yes—
127C2×Dic11⋊C4C2312yes—
128C2×Dic11⋊C4C2314yes—
129C2×Dic11⋊C4C2314yes—
130C2×C4×Dic11C2312yes—
131C2×C4×Dic11C2312yes—
132C2×C4×Dic11C2312yes—
133C2×C4×Dic11C2312yes—
134C2×C4×Dic11C2314yes—
135C2×C4×Dic11C2314yes—
136C2×C4×Dic11C2314yes—
137C2×C4×Dic11C2314yes—
138C2×C4×Dic11C2312yes—
139C2×C4×Dic11C2312yes—
140C2×C4×Dic11C2312yes—
141C2×C4×Dic11C2312yes—
142#66943C2×C4116yescomplemented
143#66943C2×C4116yescomplemented
144#66941C2×C4116yescomplemented
145#66941C2×C4116yescomplemented
146#66940—48no—
147C11×#95C2314yes—
148C11×#95C2314yes—
149C11⋊#95C2312yes—
150C11⋊#95C2312yes—
151C11⋊#95C2314yes—
152C11⋊#95C2314yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2312yes—
156C11⋊#95C2312yes—
157C11⋊#95C2314yes—
158C11⋊#95C2314yes—
159C11⋊#95C2312yes—
160C11⋊#95C2312yes—
161C11⋊#95C2312yes—
162C11⋊#95C2312yes—
163#34272—111nomaximal, Sylow
164C24×C11C2411yescharacteristic
165C22×C4×C11—22no—
166C22×C4×C11—22no—
167C22×C4×C11—24no—
168C22×C4×C11—22no—
169C22×C4×C11—22no—
170C22×C4×C11—42no—
171C22×C4×C11—41no—
172C22×C4×C11—41no—
173C22×C4×C11—42no—
174C22×C4×C11—42no—
175C22×C4×C11—42no—
176C22×C4×C11C22×C418yes—
177C22×C4×C11C22×C414yes—
178C22×C4×C11C2×Q814yes—
179C22×C4×C11#4114yes—
180C22×C4×C11C2411yescharacteristic
181C22×C4×C11C2411yescharacteristic
182C22×C4×C11C2414yes—
183C22×C4×C11C2414yes—
184C22×C4×C11C2411yescharacteristic
185C22×C4×C11C2411yescharacteristic
186C22×C4×C11C2411yescharacteristic
187C22×C4×C11C2411yescharacteristic
188C22×Dic11C2412yes—
189C22×Dic11C2412yes—
190C22×Dic11C2412yes—
191C22×Dic11C2412yes—
192C22×Dic11C2412yes—
193C22×Dic11C2412yes—
194C22×Dic11C2412yes—
195C22×Dic11C2412yes—
196C2×Dic22—44no—
197C2×Dic22—44no—
198C2×Dic22C22×C4116yes—
199C11×C4⋊C4—24no—
200C11×C4⋊C4—24no—
201C11×C4⋊C4—28no—
202C11×C4⋊C4—44no—
203C11×C4⋊C4C22×C418yes—
204C11×C4⋊C4C22×C418yes—
205C42×C11—22no—
206C42×C11—22no—
207C42×C11—22no—
208C42×C11—22no—
209C22⋊Dic11—24no—
210C22⋊Dic11C22×C418yes—
211C22⋊Dic11C22×C418yes—
212C22⋊Dic11C2×Q818yes—
213C4⋊Dic11—22no—
214C4⋊Dic11—22no—
215C4⋊Dic11C22×C414yes—
216C4⋊Dic11C22×C414yes—
217C4⋊Dic11C22×C4116yes—
218C4⋊Dic11C22×C414yes—
219C4⋊Dic11C22×C414yes—
220C4⋊Dic11C2×Q814yes—
221C4⋊Dic11C2×Q814yes—
222Dic11⋊C4—24no—
223Dic11⋊C4—24no—
224Dic11⋊C4—44no—
225Dic11⋊C4—44no—
226Dic11⋊C4—42no—
227Dic11⋊C4—42no—
228Dic11⋊C4C22×C4116yes—
229Dic11⋊C4C22×C4116yes—
230C4×Dic11—24no—
231C4×Dic11—24no—
232C4×Dic11—24no—
233C4×Dic11—44no—
234C4×Dic11—44no—
235C4×Dic11—42no—
236C4×Dic11—42no—
237C4×Dic11—44no—
238C4×Dic11—44no—
239C4×Dic11C22×C418yes—
240C4×Dic11C22×C418yes—
241C4×Dic11C2×Q818yes—
242C2×#544—111no—
243#2370—112no—
244#2370—112no—
245#2369—112no—
246#2368—114no—
247#2365—112no—
248#2360—114no—
249#2331—112no—
250#2330—112no—
251#2317—111no—
252C4×C4⋊Q8—112no—
253C4×#125—112no—
254#2296—111no—
255C2×#389D1111yescharacteristic
256#2274—111no—
257#2274—111no—
258C4×#117—111no—
259C23×C11—21no—
260C23×C11—21no—
261C23×C11—21no—
262C23×C11—21no—
263C23×C11C23×C412yes—
264C23×C11C22×Q812yes—
265C23×C11C2×#4112yes—
266C23×C11C2511yescharacteristic
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—24no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—24no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—24no—
276C2×C4×C11—24no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—24no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—48no—
283C2×C4×C11—44no—
284C2×C4×C11—44no—
285C2×C4×C11—84no—
286C2×C4×C11C4×Q8116yescomplemented
287C2×C4×C11C23×C418yes—
288C2×C4×C11C23×C412yes—
289C2×C4×C11C23×C412yes—
290C2×C4×C11C22×Q812yes—
291C2×C4×C11C22×Q812yes—
292C2×C4×C11C2×#4112yes—
293C2×C4×C11C2×#4112yes—
294C2×C4×C11H(5,𝔽2)12yes—
295C2×C4×C112−1+412yes—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11C23×C414yes—
315C2×Dic11C23×C414yes—
316C2×Dic11C23×C414yes—
317C2×Dic11C23×C414yes—
318C2×Dic11C22×Q814yes—
319C2×Dic11C22×Q814yes—
320Dic22—416no—
321#544—1116no—
322C2×C4⋊Q8—112no—
323C2×C4⋊Q8—112no—
324C2×#125—112no—
325C2×#125—112no—
326C2×C22⋊Q8—114no—
327C2×C4×Q8—114no—
328C2×#117—111no—
329C2×#117—111no—
330C2×#117—111no—
331C2×#117—111no—
332C22×C4⋊C4C2×D1111yescharacteristic
333C22×C4⋊C4C2×D1112yes—
334C22×C4⋊C4C2×D1111yescharacteristic
335C22×C42C2×D1111yescharacteristic
336#391—114no—
337#391—114no—
338#391—114no—
339#389—114no—
340#389—112no—
341#389—112no—
342#389—114no—
343#389—114no—
344#389—111no—
345#389—111no—
346#389—111no—
347#389—111no—
348#389C2×D1112yes—
349#389C2×D1112yes—
350#389C2×D1112yes—
351#389C2×D1112yes—
352#387—114no—
353#387—114no—
354#387—114no—
355#387—114no—
356#387—114no—
357#387—114no—
358#385—114no—
359#385—112no—
360#385—112no—
361#384—112no—
362#382—112no—
363C4×C4⋊C4—112no—
364C4×C4⋊C4—112no—
365C4×C4⋊C4—114no—
366C4×C4⋊C4—112no—
367C4×C4⋊C4—112no—
368C4×C4⋊C4—112no—
369C4×C4⋊C4—112no—
370C4×C4⋊C4—112no—
371C4×C4⋊C4—112no—
372C4×C4⋊C4—111no—
373C4×C4⋊C4—112no—
374C4×C4⋊C4—111no—
375C4×C4⋊C4—112no—
376C4×C4⋊C4—111no—
377C4×C4⋊C4—111no—
378C4×C4⋊C4—114no—
379C4×C4⋊C4—114no—
380C4×C22⋊C4—112no—
381C4×C22⋊C4—114no—
382C4×C22⋊C4—114no—
383C4×C22⋊C4—112no—
384#376—112no—
385C2×#95C2×D1112yes—
386C43—112no—
387C22×C11—22no—
388C22×C11—22no—
389C22×C11—22no—
390C22×C11—22no—
391C22×C11—22no—
392C22×C11—22no—
393C22×C11C2×C4×Q814yes—
394C22×C11C24×C411yescharacteristic
395C22×C11C23×Q811yescharacteristic
396C22×C11C22×#4111yescharacteristic
397C22×C11C2×H(5,𝔽2)11yescharacteristic
398C22×C11C2×2−1+411yescharacteristic
399C22×C11#58511yescharacteristic
400C22×C11#58511yescharacteristic
401C4×C11—28no—
402C4×C11—22no—
403C4×C11—22no—
404C4×C11—41no—
405C4×C11—44no—
406C4×C11—41no—
407C4×C11C2×C4×Q814yes—
408C4×C11C2×C4×Q814yes—
409Dic11—24no—
410Dic11—24no—
411Dic11—24no—
412Dic11—24no—
413Dic11—24no—
414Dic11—24no—
415Dic11—42no—
416Dic11—42no—
417C22×Q8—114no—
418C23×C4C22×D1111yescharacteristic
419C23×C4C22×D1111yescharacteristic
420C23×C4C22×D1112yes—
421C23×C4C22×D1112yes—
422C23×C4C22×D1111yescharacteristic
423C4⋊Q8—1116no—
424C4⋊Q8—1116no—
425#125—1116no—
426#125—1116no—
427C22⋊Q8—1132no—
428C4×Q8—448no—
429#117—118no—
430#117—118no—
431#117—118no—
432#117—224no—
433C2×C4⋊C4—24no—
434C2×C4⋊C4—44no—
435C2×C4⋊C4—111no—
436C2×C4⋊C4—111no—
437C2×C4⋊C4—111no—
438C2×C4⋊C4—111no—
439C2×C4⋊C4—111no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—114no—
442C2×C4⋊C4—114no—
443C2×C4⋊C4—114no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—112no—
447C2×C4⋊C4—112no—
448C2×C4⋊C4—114no—
449C2×C4⋊C4—114no—
450C2×C4⋊C4—112no—
451C2×C4⋊C4—112no—
452C2×C4⋊C4C4×D1118yes—
453C2×C4⋊C4C22×D1114yes—
454C2×C4⋊C4C22×D1112yes—
455C2×C4⋊C4C22×D1112yes—
456C2×C4⋊C4C22×D1114yes—
457C2×C4⋊C4C22×D1112yes—
458C2×C4⋊C4C22×D1112yes—
459C2×C22⋊C4—112no—
460C2×C22⋊C4—112no—
461C2×C22⋊C4—112no—
462C2×C22⋊C4—112no—
463C2×C42—24no—
464C2×C42—112no—
465C2×C42—112no—
466C2×C42—112no—
467C2×C42—112no—
468C2×C42—112no—
469C2×C42—112no—
470C2×C42—114no—
471C2×C42—114no—
472C2×C42—112no—
473C2×C42—112no—
474C2×C42—114no—
475C2×C42—114no—
476C2×C42C22×D1111yescharacteristic
477C2×C42C22×D1111yescharacteristic
478C2×C42C22×D1111yescharacteristic
479C2×C42C22×D1111yescharacteristic
480#95—112no—
481#95—112no—
482#95—112no—
483#95—112no—
484#95—114no—
485#95—114no—
486#95—114no—
487#95—114no—
488#95—112no—
489#95—112no—
490#95—114no—
491#95—114no—
492#95—112no—
493#95—112no—
494#95C22×D1114yes—
495#95C22×D1114yes—
496C2×C11—24no—
497C2×C11C22×C4×Q811yescharacteristic
498C2×C11C4×H(5,𝔽2)11yescharacteristic
499C2×C11C4×2−1+411yescharacteristic
500C2×C11#349411yescharacteristic
501C2×C11#349511yescharacteristic
502C2×C11#350311yescharacteristic
503C2×C11#350411yescharacteristic
504C24C23×D1111yescharacteristic
505C2×Q8—1116no—
506C2×Q8—444no—
507C2×Q8—444no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—24no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—42no—
514C22×C4—41no—
515C22×C4—41no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—112no—
520C22×C4—112no—
521C22×C4—112no—
522C22×C4—112no—
523C22×C4—112no—
524C22×C4—112no—
525C22×C4—112no—
526C22×C4—112no—
527C22×C4C2×C4×D1118yes—
528C22×C4C2×C4×D1114yes—
529C22×C4#434114yes—
530C22×C4Q8×D1114yes—
531C22×C4C23×D1111yescharacteristic
532C22×C4C23×D1111yescharacteristic
533C22×C4C23×D1114yes—
534C22×C4C23×D1114yes—
535C22×C4C23×D1111yescharacteristic
536C22×C4C23×D1111yescharacteristic
537C22×C4C23×D1111yescharacteristic
538C22×C4C23×D1111yescharacteristic
539C4⋊C4—24no—
540C4⋊C4—24no—
541C4⋊C4—28no—
542C4⋊C4—44no—
543C4⋊C4—114no—
544C4⋊C4—114no—
545C4⋊C4—114no—
546C4⋊C4—114no—
547C4⋊C4—1116no—
548C4⋊C4—1116no—
549C4⋊C4—1116no—
550C4⋊C4—114no—
551C4⋊C4—114no—
552C4⋊C4—222no—
553C4⋊C4—222no—
554C4⋊C4—224no—
555C4⋊C4—224no—
556C4⋊C4—444no—
557C4⋊C4—444no—
558C4⋊C4—442no—
559C4⋊C4—442no—
560C4⋊C4C2×C4×D1118yes—
561C4⋊C4C2×C4×D1118yes—
562C22⋊C4—118no—
563C22⋊C4—118no—
564C22⋊C4—118no—
565C22⋊C4—224no—
566C42—22no—
567C42—22no—
568C42—22no—
569C42—22no—
570C42—118no—
571C42—118no—
572C42—118no—
573C42—224no—
574C42—224no—
575C42—224no—
576C42—444no—
577C42—444no—
578C42—442no—
579C42—442no—
580C42—444no—
581C42—444no—
582C11#3427211yescharacteristic, complemented, Sylow
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23C22×C4×D1112yes—
588C23C2×#434112yes—
589C23C2×Q8×D1112yes—
590C23C24×D1111yescharacteristic
591Q8—4416no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—24no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—24no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—24no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—48no—
608C2×C4—44no—
609C2×C4—44no—
610C2×C4—84no—
611C2×C4—114no—
612C2×C4—114no—
613C2×C4—114no—
614C2×C4—114no—
615C2×C4—114no—
616C2×C4—114no—
617C2×C4—222no—
618C2×C4—222no—
619C2×C4—222no—
620C2×C4—222no—
621C2×C4—222no—
622C2×C4—222no—
623C2×C4—222no—
624C2×C4—222no—
625C2×C4—222no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4#66940116yescomplemented
636C2×C4C22×C4×D1118yes—
637C2×C4C22×C4×D1112yes—
638C2×C4C22×C4×D1112yes—
639C2×C4C2×#434112yes—
640C2×C4C2×#434112yes—
641C2×C4#6703712yes—
642C2×C4C2×Q8×D1112yes—
643C2×C4C2×Q8×D1112yes—
644C2×C4#6704012yes—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22C2×#6694014yes—
652C22C23×C4×D1111yescharacteristic
653C22C22×#434111yescharacteristic
654C22C2×#6703711yescharacteristic
655C22C22×Q8×D1111yescharacteristic
656C22C2×#6704011yescharacteristic
657C22#1062345311yescharacteristic
658C22#1062345311yescharacteristic
659C4—28no—
660C4—22no—
661C4—22no—
662C4—41no—
663C4—44no—
664C4—41no—
665C4—224no—
666C4—224no—
667C4—224no—
668C4—224no—
669C4—224no—
670C4—224no—
671C4—442no—
672C4—442no—
673C4C2×#6694014yes—
674C4C2×#6694014yes—
675C2—24no—
676C2C22×#6694011yescharacteristic
677C2C4×#6703711yescharacteristic
678C2C4×#6704011yescharacteristic
679C2#1308234511yescharacteristic
680C2#1308236211yescharacteristic
681C2#1308243211yescharacteristic
682C2#1308244011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC2×C11×#389C2
socle, cosocleC23×C11C25
prime radicalC24×C11C24
hypercenterC2×#389D11
hypocenterC11#34272
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
2. #13071717C2semidirect
3. #13071711C2semidirect
4. #13071702C2semidirect
6. #13071669C2semidirect
8. #13071363C2semidirect
9. #13071356C2semidirect
11. #13071187C2semidirect
12. #13071175C2semidirect
27. #10623031C4semidirect
111. #66979Q8semidirect
142. #66943C2×C4semidirect
143. #66943C2×C4semidirect
144. #66941C2×C4semidirect
145. #66941C2×C4semidirect
286. C2×C4×C11C4×Q8semidirect
582. C11#34272semidirect
635. C2×C4#66940semidirect

Maximal subgroups

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

subgroupindex
C2×#106230312
#130717172
#130717112
#130717022
#130716962
#130716692
#130716212
#130713632
#130713562
#130712402
#130711872
#130711752
#130710992
#130709732
C4×#669792
C2×C11×#3892
#3427211