Finite Group Databasebeta

← C2×#13081394 #15633433

Subgroups — C2×#13081394 #15633433

Order 2816.

1854 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623252C211yesmaximal, characteristic, complemented
2C2×#10623221C211yesmaximal, characteristic
3#13081394C2116yesmaximal, direct product factor
4C2×#10622410C211yesmaximal, characteristic, complemented
5C2×#10622405C211yesmaximal, characteristic, complemented
6C2×#10622409C211yesmaximal, characteristic, complemented
7C2×#10622676C211yesmaximal, characteristic, complemented
8C2×#10622407C211yesmaximal, characteristic, complemented
9C2×#10622431C211yesmaximal, characteristic
10C2×#10622431C211yesmaximal, characteristic
11C2×#10622696C211yesmaximal, characteristic
12C2×#10622314C211yesmaximal, characteristic, complemented
13C2×#10622430C211yesmaximal, characteristic
14C2×#10622323C211yesmaximal, characteristic
15C2×#10622401C211yesmaximal, characteristic
16C2×C11×#491C211yesmaximal, characteristic, complemented
17C2×C11×C4⋊Q8C2211yescharacteristic
18C2×C11×#125C2211yescharacteristic
19C2×Q8×Dic11C2211yescharacteristic
20C2×Q8×Dic11C2211yescharacteristic
21C2×#66997C2211yescharacteristic
22C2×#66997C2211yescharacteristic
23C22×#4325C2211yescharacteristic
24C22×#4325C2211yescharacteristic
25C22×#4314C2211yescharacteristic
26#10623252—24no—
27#10623252C2218yescomplemented
28#10623221—24no—
29#10623221C2218yes—
30C2×#66950—21no—
31C2×#66949—21no—
32C2×#66949—21no—
33C2×#66946C2211yescharacteristic
34C2×#66946C2211yescharacteristic
35C2×C4⋊C4×D11—21no—
36C2×#66943—21no—
37C2×#66943C2211yescharacteristic
38C2×#66942—21no—
39C2×#66942—21no—
40C2×#66941C2211yescharacteristic
41C2×#66940—21no—
42C2×C4×D44C2211yescharacteristic
43C2×C4×Dic22C2211yescharacteristic
44C2×C4×Dic22C2211yescharacteristic
45C11×#491C2218yescomplemented
46C2×C11×#103C2211yescharacteristic
47C2×C11×#103C2211yescharacteristic
48C2×C11×#103C2211yescharacteristic
49C2×C11×#103C2211yescharacteristic
50C2×C11×#97C2211yescharacteristic
51C2×#66899C2211yescharacteristic
52C2×#66899C2211yescharacteristic
53C2×#66885C2211yescharacteristic
54C2×#66882C2211yescharacteristic
55C2×#66880C2211yescharacteristic
56C2×#66879C2211yescharacteristic
57C2×Dic11⋊C8C2211yescharacteristic
58C2×Dic11⋊C8C2211yescharacteristic
59C2×C8×Dic11C2211yescharacteristic
60#10622696C2218yes—
61#10622676C2218yescomplemented
62C2×#66874C2211yescharacteristic
63C2×#66874C2211yescharacteristic
64C2×#66872C2211yescharacteristic
65C2×#66871C2211yescharacteristic
66C2×C4⋊(C11⋊C8)C2211yescharacteristic
67#10622431C2218yes—
68#10622431C2218yes—
69#10622430C2218yes—
70#10622410C2218yescomplemented
71#10622409C2218yescomplemented
72#10622407C2218yescomplemented
73#10622405C2218yescomplemented
74#10622401C2218yes—
75#10622323C2218yes—
76#10622314C2218yescomplemented
77C22×Q8×C11C2311yescharacteristic
78C22×Q8×C11C2311yescharacteristic
79C22×D44C2311yescharacteristic
80C22×C4×D11—21no—
81C22×C4×D11—21no—
82C22×C4×D11—21no—
83C22×Dic22—21no—
84C22×Dic22D411yescharacteristic
85C22×Dic22C2311yescharacteristic
86C22×C8×C11C2311yescharacteristic
87C22×C8×C11C2311yescharacteristic
88C11×C4⋊Q8—22no—
89C11×C4⋊Q8C2314yes—
90C11×#125—22no—
91C11×#125C2314yes—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C42×C11C2311yescharacteristic
99Q8×Dic11—22no—
100Q8×Dic11—22no—
101Q8×Dic11C2314yes—
102Q8×Dic11C2314yes—
103#66997—22no—
104#66997—22no—
105#66997C2314yes—
106#66997C2314yes—
107C2×#4325—24no—
108C2×#4325—24no—
109C2×#4325C2314yes—
110C2×#4325C2314yes—
111C2×(C2×D11)⋊C4—21no—
112C2×(C2×D11)⋊C4—21no—
113C2×(C2×D11)⋊C4—21no—
114C2×C4⋊Dic11—21no—
115C2×C4⋊Dic11—21no—
116C2×C4⋊Dic11—21no—
117C2×C4⋊Dic11D411yescharacteristic
118C2×C4⋊Dic11C2311yescharacteristic
119C2×C4⋊Dic11C2311yescharacteristic
120C2×Dic11⋊C4—21no—
121C2×Dic11⋊C4—21no—
122C2×Dic11⋊C4—21no—
123C2×Dic11⋊C4—21no—
124C2×Dic11⋊C4—21no—
125C2×Dic11⋊C4—21no—
126C2×Dic11⋊C4—21no—
127C2×Dic11⋊C4D411yescharacteristic
128C2×Dic11⋊C4D411yescharacteristic
129C2×C4×Dic11—21no—
130C2×C4×Dic11—21no—
131C2×C4×Dic11—21no—
132C2×C4×Dic11C2311yescharacteristic
133C2×C4×Dic11C2311yescharacteristic
134C22×C11⋊C8C2311yescharacteristic
135C22×C11⋊C8C2311yescharacteristic
136C2×#4314—24no—
137C2×#4314C2314yes—
138#66950—28no—
139#66949—28no—
140#66949—28no—
141#66946—22no—
142#66946—22no—
143#66946C2314yes—
144#66946C2314yes—
145C4⋊C4×D11—28no—
146#66943—28no—
147#66943—22no—
148#66943C2314yes—
149#66942—28no—
150#66942—28no—
151#66941—22no—
152#66941C2314yes—
153#66940—28no—
154C4×D44—22no—
155C4×D44C2314yes—
156C4×Dic22—22no—
157C4×Dic22D414yes—
158C4×Dic22C2314yes—
159C4×Dic22C2314yes—
160C11×#103C2314yes—
161C11×#103C2314yes—
162C11×#103C2314yes—
163C11×#103C2314yes—
164C11×#97C2314yes—
165#66899C2314yes—
166#66899C2314yes—
167#66885C2314yes—
168#66882C2314yes—
169#66880C2314yes—
170#66879C2314yes—
171Dic11⋊C8C2314yes—
172Dic11⋊C8C2314yes—
173C8×Dic11C2314yes—
174#66874C2314yes—
175#66874C2314yes—
176#66872C2314yes—
177#66871C2314yes—
178C4⋊(C11⋊C8)C2314yes—
179C2×#3372—111nomaximal, Sylow
180C23×D11—21no—
181C2×Q8×C11—21no—
182C2×Q8×C11—21no—
183C2×Q8×C11—22no—
184C2×Q8×C11—22no—
185C2×Q8×C11—22no—
186C2×Q8×C11—22no—
187C2×Q8×C11C2412yes—
188C2×Q8×C11C2412yes—
189C22×C4×C11—21no—
190C22×C4×C11—21no—
191C22×C4×C11—21no—
192C22×C4×C11—21no—
193C22×C4×C11C2×D411yescharacteristic
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2411yescharacteristic
196C22×Dic11—21no—
197C22×Dic11—21no—
198C22×Dic11—21no—
199C22×Dic11C2×D411yescharacteristic
200C22×Dic11C2×D411yescharacteristic
201C22×Dic11C2×D411yescharacteristic
202C22×Dic11C2×D411yescharacteristic
203C2×D44—21no—
204C2×D44—22no—
205C2×D44#4114yes—
206C2×D44C2412yes—
207C2×C4×D11—24no—
208C2×C4×D11—24no—
209C2×C4×D11—24no—
210C2×C4×D11—44no—
211C2×C4×D11—82no—
212C2×C4×D11—82no—
213C2×Dic22—24no—
214C2×Dic22—24no—
215C2×Dic22—21no—
216C2×Dic22—22no—
217C2×Dic22—22no—
218C2×Dic22—82no—
219C2×Dic22C2×D414yes—
220C2×Dic22C2412yes—
221C2×C8×C11—22no—
222C2×C8×C11—22no—
223C2×C8×C11C2412yes—
224C2×C8×C11C2412yes—
225C11×C4⋊C4—24no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—24no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—24no—
230C11×C4⋊C4—24no—
231C11×C4⋊C4C2412yes—
232C11×C4⋊C4C2412yes—
233C42×C11C2×D412yes—
234C42×C11C2412yes—
235#4325—28no—
236#4325—28no—
237(C2×D11)⋊C4—24no—
238(C2×D11)⋊C4—24no—
239(C2×D11)⋊C4—24no—
240C4⋊Dic11—24no—
241C4⋊Dic11—24no—
242C4⋊Dic11—24no—
243C4⋊Dic11—21no—
244C4⋊Dic11—21no—
245C4⋊Dic11C2×D414yes—
246C4⋊Dic11C2412yes—
247C4⋊Dic11C2412yes—
248Dic11⋊C4—24no—
249Dic11⋊C4—24no—
250Dic11⋊C4—24no—
251Dic11⋊C4—24no—
252Dic11⋊C4—24no—
253Dic11⋊C4—24no—
254Dic11⋊C4—24no—
255Dic11⋊C4C2×D414yes—
256Dic11⋊C4C2×D414yes—
257C4×Dic11—24no—
258C4×Dic11—24no—
259C4×Dic11—24no—
260C4×Dic11C2×D412yes—
261C4×Dic11C2×D412yes—
262C4×Dic11C2412yes—
263C4×Dic11C2412yes—
264C2×C11⋊C8—22no—
265C2×C11⋊C8—22no—
266C2×C11⋊C8C2412yes—
267C2×C11⋊C8C2412yes—
268#4314—28no—
269C2×#557—111no—
270C2×#554—111no—
271#3372—1116no—
272C2×#491—111no—
273C2×#491D1111yescharacteristic, complemented
274C2×#487—111no—
275C2×#479—111no—
276C2×#479—111no—
277C2×#477—111no—
278C2×#461—111no—
279C2×#461—111no—
280C2×#461—111no—
281C2×#446—111no—
282C2×#440—111no—
283C2×#440—111no—
284C2×C4×SD16—111no—
285C23×C11C22×D411yescharacteristic
286C22×D11—24no—
287C22×D11—22no—
288C22×D11—42no—
289C22×D11—42no—
290Q8×C11—22no—
291Q8×C11—22no—
292Q8×C11—22no—
293Q8×C11—22no—
294Q8×C11—42no—
295Q8×C11—42no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11—42no—
305C2×C4×C11—42no—
306C2×C4×C11C22×D412yes—
307C2×C4×C11C22×D412yes—
308C2×C4×C11C22×D411yescharacteristic
309C2×C4×C11C2×#4112yes—
310C2×C4×C112−1+412yes—
311C2×C4×C11C2511yescharacteristic
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—22no—
317C2×Dic11—22no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11#13714yes—
322C2×Dic11C22×D412yes—
323C2×Dic11C22×D412yes—
324C2×Dic11C22×D412yes—
325C2×Dic11C22×D412yes—
326D44—24no—
327D44—22no—
328D44C2×#4114yes—
329C4×D11—48no—
330C4×D11—84no—
331C4×D11—84no—
332Dic22—28no—
333Dic22—22no—
334Dic22—22no—
335Dic22—42no—
336Dic22—84no—
337C8×C11—22no—
338C8×C11—22no—
339C11⋊C8—22no—
340C11⋊C8—22no—
341C22×SD16—111no—
342C22×SD16—111no—
343C22×SD16—111no—
344#557—118no—
345#557—224no—
346#554—118no—
347#554—224no—
348C2×C4⋊Q8—111no—
349C2×C4⋊Q8—111no—
350C2×C4⋊Q8—111no—
351C2×C4⋊Q8C2×D1111yescharacteristic
352C2×#125—111no—
353C2×#125—221no—
354C2×#125—221no—
355C2×#125—221no—
356C2×#125C2×D1111yescharacteristic
357C2×C22⋊Q8—221no—
358C2×C22⋊Q8—221no—
359C2×C22⋊Q8—221no—
360C2×C4×Q8—111no—
361C2×C4×Q8—111no—
362C2×C4×Q8—111no—
363C2×C4×Q8—111no—
364C2×C4×Q8—221no—
365C2×C4×D4—111no—
366C2×C4×D4—111no—
367C2×C4×D4—111no—
368C22×C4⋊C4—221no—
369#491—118no—
370#491C2×D1118yescomplemented
371#487—118no—
372#479—118no—
373#479—118no—
374#477—118no—
375#461—118no—
376#461—118no—
377#461—118no—
378#446—118no—
379#440—118no—
380#440—118no—
381C4×SD16—118no—
382C2×#107—111no—
383C2×#107—111no—
384C2×#106—111no—
385C2×C4⋊C8—111no—
386C2×C4⋊C8—111no—
387C2×C4⋊C8—111no—
388C2×#103—111no—
389C2×#103—111no—
390C2×#103—111no—
391C2×#103—111no—
392C2×#103—111no—
393C2×#103C2×D1111yescharacteristic
394C2×#103C2×D1111yescharacteristic
395C2×#103C2×D1111yescharacteristic
396C2×#103C2×D1111yescharacteristic
397C2×#102—111no—
398C2×#97—111no—
399C2×#97C2×D1111yescharacteristic
400C2×C4×C8—111no—
401C22×C11#54812yes—
402C22×C11C2×#13712yes—
403C22×C11#57712yes—
404C22×C11C23×D411yescharacteristic
405C2×D11—24no—
406C2×D11—48no—
407C2×D11—42no—
408C2×D11—42no—
409C4×C11—22no—
410C4×C11—22no—
411C4×C11—42no—
412C4×C11—42no—
413C4×C11—42no—
414C4×C11—42no—
415C4×C11#54812yes—
416C4×C11C22×#4111yescharacteristic
417C4×C11C2×2−1+411yescharacteristic
418Dic11—22no—
419Dic11—22no—
420Dic11—22no—
421Dic11—42no—
422Dic11—42no—
423Dic11—42no—
424Dic11C2×#13714yes—
425C22×Q8—111no—
426C22×Q8—111no—
427C22×Q8—221no—
428C22×Q8C22×D1111yescharacteristic
429C22×Q8C22×D1111yescharacteristic
430C22×D4—111no—
431C23×C4—221no—
432C23×C4—221no—
433C23×C4—221no—
434C2×SD16—114no—
435C2×SD16—114no—
436C2×SD16—114no—
437C2×SD16—224no—
438C2×SD16—224no—
439C2×SD16—224no—
440C22×C8—111no—
441C22×C8—111no—
442C22×C8C22×D1111yescharacteristic
443C22×C8C22×D1111yescharacteristic
444C4⋊Q8—22no—
445C4⋊Q8—114no—
446C4⋊Q8—114no—
447C4⋊Q8—114no—
448C4⋊Q8—222no—
449C4⋊Q8—222no—
450C4⋊Q8—222no—
451C4⋊Q8C22×D1114yes—
452#125—22no—
453#125—114no—
454#125—222no—
455#125—228no—
456#125—228no—
457#125—228no—
458#125C22×D1114yes—
459C22⋊Q8—228no—
460C22⋊Q8—228no—
461C22⋊Q8—228no—
462C4×Q8—114no—
463C4×Q8—114no—
464C4×Q8—114no—
465C4×Q8—114no—
466C4×Q8—114no—
467C4×Q8—222no—
468C4×Q8—222no—
469C4×Q8—228no—
470C4×Q8—222no—
471C4×D4—114no—
472C4×D4—114no—
473C4×D4—114no—
474C4×D4—222no—
475C4×D4—222no—
476C4×D4—222no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—111no—
482C2×C4⋊C4—111no—
483C2×C4⋊C4—111no—
484C2×C4⋊C4—111no—
485C2×C4⋊C4—111no—
486C2×C4⋊C4—228no—
487C2×C4⋊C4—221no—
488C2×C4⋊C4—221no—
489C2×C4⋊C4—221no—
490C2×C4⋊C4—221no—
491C2×C4⋊C4—221no—
492C2×C4⋊C4—221no—
493C2×C4⋊C4—221no—
494C2×C4⋊C4—221no—
495C2×C4⋊C4—221no—
496C2×C4⋊C4—221no—
497C2×C4⋊C4C22×D1111yescharacteristic
498C2×C4⋊C4C22×D1111yescharacteristic
499C2×C22⋊C4—221no—
500C2×C22⋊C4—221no—
501C2×C22⋊C4—221no—
502C2×C42—111no—
503C2×C42—111no—
504C2×C42—221no—
505C2×C42—221no—
506C2×C42—221no—
507C2×C42C22×D1111yescharacteristic
508#107—114no—
509#107—114no—
510#106—114no—
511C4⋊C8—114no—
512C4⋊C8—114no—
513C4⋊C8—114no—
514#103—114no—
515#103—114no—
516#103—114no—
517#103—114no—
518#103—114no—
519#103C22×D1114yes—
520#103C22×D1114yes—
521#103C22×D1114yes—
522#103C22×D1114yes—
523#102—114no—
524#97—114no—
525#97C22×D1114yes—
526C4×C8—114no—
527C2×C11#337214yescomplemented
528C2×C11C2×#54811yescharacteristic
529C2×C11C22×#13711yescharacteristic
530C2×C11C2×#57711yescharacteristic
531D11—44no—
532C24—221no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—22no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—22no—
539C2×Q8—114no—
540C2×Q8—112no—
541C2×Q8—224no—
542C2×Q8—224no—
543C2×Q8—221no—
544C2×Q8—222no—
545C2×Q8—222no—
546C2×Q8—882no—
547C2×Q8C23×D1112yes—
548C2×Q8C23×D1112yes—
549C2×D4—114no—
550C2×D4—112no—
551C2×D4—221no—
552C2×D4—222no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—111no—
558C22×C4—111no—
559C22×C4—111no—
560C22×C4—111no—
561C22×C4—224no—
562C22×C4—224no—
563C22×C4—221no—
564C22×C4—221no—
565C22×C4—221no—
566C22×C4—224no—
567C22×C4—444no—
568C22×C4—882no—
569C22×C4—882no—
570C22×C4D4×D1111yescharacteristic
571C22×C4D4×D1111yescharacteristic
572C22×C4C23×D1111yescharacteristic
573SD16—228no—
574SD16—228no—
575SD16—228no—
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—112no—
579C2×C8—112no—
580C2×C8—222no—
581C2×C8—222no—
582C2×C8C23×D1112yes—
583C2×C8C23×D1112yes—
584C4⋊C4—24no—
585C4⋊C4—24no—
586C4⋊C4—24no—
587C4⋊C4—24no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—114no—
591C4⋊C4—114no—
592C4⋊C4—114no—
593C4⋊C4—112no—
594C4⋊C4—112no—
595C4⋊C4—224no—
596C4⋊C4—224no—
597C4⋊C4—224no—
598C4⋊C4—224no—
599C4⋊C4—224no—
600C4⋊C4—224no—
601C4⋊C4—224no—
602C4⋊C4—224no—
603C4⋊C4—224no—
604C4⋊C4—221no—
605C4⋊C4—221no—
606C4⋊C4—224no—
607C4⋊C4C23×D1112yes—
608C4⋊C4C23×D1112yes—
609C22⋊C4—224no—
610C22⋊C4—224no—
611C22⋊C4—224no—
612C42—112no—
613C42—112no—
614C42—112no—
615C42—112no—
616C42—224no—
617C42—224no—
618C42—224no—
619C42D4×D1112yes—
620C42C23×D1112yes—
621C11C2×#337211yescharacteristic, complemented, Sylow
622C23—222no—
623C23—224no—
624C23—442no—
625C23—442no—
626C23C2×D4×D1111yescharacteristic
627Q8—22no—
628Q8—22no—
629Q8—22no—
630Q8—22no—
631Q8—42no—
632Q8—42no—
633Q8—228no—
634Q8—222no—
635Q8—222no—
636Q8—442no—
637Q8—884no—
638D4—114no—
639D4—222no—
640D4—224no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—114no—
652C2×C4—112no—
653C2×C4—112no—
654C2×C4—112no—
655C2×C4—112no—
656C2×C4—222no—
657C2×C4—222no—
658C2×C4—222no—
659C2×C4—222no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—448no—
663C2×C4—442no—
664C2×C4—442no—
665C2×C4—442no—
666C2×C4—884no—
667C2×C4—884no—
668C2×C4C2×D4×D1112yes—
669C2×C4C2×D4×D1112yes—
670C2×C4C2×D4×D1111yescharacteristic
671C2×C4#41×D1112yes—
672C2×C4#6704312yes—
673C2×C4C24×D1111yescharacteristic
674C8—22no—
675C8—22no—
676C8—222no—
677C8—222no—
678C22—224no—
679C22—448no—
680C22—442no—
681C22—442no—
682C22#1062320812yes—
683C22D11×#13712yes—
684C22#1062330912yes—
685C22C22×D4×D1111yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—114no—
693C4—222no—
694C4—222no—
695C4—222no—
696C4—442no—
697C4—442no—
698C4—442no—
699C4#1062320812yes—
700C4C2×#41×D1111yescharacteristic
701C4C2×#6704311yescharacteristic
702C2—444no—
703C2#1308139414yesdirect product factor
704C2C2×#1062320811yescharacteristic
705C2C2×D11×#13711yescharacteristic
706C2C2×#1062330911yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#491C2
socleC23×C11C22×D4
prime radicalC22×D44C23
hypercenterC2×#491D11
hypocenterC11C2×#3372
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#491

Complements

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

NH ≅ G/Ntype
1. C2×#10623252C2semidirect
3. #13081394C2direct (N × H)
4. C2×#10622410C2semidirect
5. C2×#10622405C2semidirect
6. C2×#10622409C2semidirect
7. C2×#10622676C2semidirect
8. C2×#10622407C2semidirect
12. C2×#10622314C2semidirect
16. C2×C11×#491C2semidirect
27. #10623252C22semidirect
45. C11×#491C22semidirect
61. #10622676C22semidirect
70. #10622410C22semidirect
71. #10622409C22semidirect
72. #10622407C22semidirect
73. #10622405C22semidirect
76. #10622314C22semidirect
273. C2×#491D11semidirect
370. #491C2×D11semidirect
527. C2×C11#3372semidirect
621. C11C2×#3372semidirect
703. C2#13081394direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232522
C2×#106232212
#130813942
C2×#106224102
C2×#106224052
C2×#106224092
C2×#106226762
C2×#106224072
C2×#106224312
C2×#106226962
C2×#106223142
C2×#106224302
C2×#106223232
C2×#106224012
C2×C11×#4912
C2×#337211