Finite Group Databasebeta

← C2×#13081460 #15633572

Subgroups — C2×#13081460 #15633572

Order 2816.

1810 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×#10623098C211yesmaximal, characteristic, complemented
2C2×#10623115C211yesmaximal, characteristic
3#13081460C2116yesmaximal, direct product factor
4C2×#10622316C211yesmaximal, characteristic, complemented
5C2×#10622327C211yesmaximal, characteristic
6C2×#10622310C211yesmaximal, characteristic
7C2×#10622442C211yesmaximal, characteristic, complemented
8C2×#10622463C211yesmaximal, characteristic, complemented
9C2×#10622460C211yesmaximal, characteristic
10C2×#10622458C211yesmaximal, characteristic
11C2×#10622458C211yesmaximal, characteristic
12C2×#10622462C211yesmaximal, characteristic, complemented
13C2×#10622329C211yesmaximal, characteristic, complemented
14C2×#10622323C211yesmaximal, characteristic
15C2×C4×Dic44C211yesmaximal, characteristic, complemented
16C2×C11×#446C211yesmaximal, characteristic, complemented
17C2×C4×Q8×C11C2211yescharacteristic
18C2×#66999—21no—
19C2×#66997—21no—
20C22×Dic44C2211yescharacteristic
21C22×Dic44C2211yescharacteristic
22C22×#4314C2211yescharacteristic
23#10623115—24no—
24#10623115C2218yes—
25#10623098—24no—
26#10623098C2218yescomplemented
27C2×#66951—21no—
28C2×#66951—21no—
29C2×#66945—21no—
30C2×#66942—21no—
31C2×#66942—21no—
32C2×#66940—21no—
33C2×#66928C2211yescharacteristic
34C2×#66928C2211yescharacteristic
35C2×C4×D44C2211yescharacteristic
36C2×#66923C2211yescharacteristic
37C2×#66923C2211yescharacteristic
38C2×#66922C2211yescharacteristic
39C2×#66922C2211yescharacteristic
40C2×C4×Dic22C2211yescharacteristic
41C2×C4×Dic22C2211yescharacteristic
42C2×C4×Dic22C2211yescharacteristic
43C2×C4×Dic22C2211yescharacteristic
44C2×C4×Dic22C2211yescharacteristic
45C11×#446C2218yescomplemented
46C2×C11×C4⋊C8C2211yescharacteristic
47C2×C11×C4⋊C8C2211yescharacteristic
48C2×C11×C4⋊C8C2211yescharacteristic
49C2×C11×#97C2211yescharacteristic
50C2×C11×#97C2211yescharacteristic
51C2×C4×C8×C11C2211yescharacteristic
52C2×#66885C2211yescharacteristic
53C2×#66885C2211yescharacteristic
54C2×#66885C2211yescharacteristic
55C2×#66882C2211yescharacteristic
56C2×#66882C2211yescharacteristic
57C2×#66881C2211yescharacteristic
58C2×#66880C2211yescharacteristic
59C2×#66880C2211yescharacteristic
60C2×#66880C2211yescharacteristic
61C2×#66880C2211yescharacteristic
62C2×#66880C2211yescharacteristic
63C2×#66880C2211yescharacteristic
64C2×#66880C2211yescharacteristic
65#10622463C2218yescomplemented
66#10622462C2218yescomplemented
67#10622460C2218yes—
68#10622458C2218yes—
69#10622458C2218yes—
70#10622442C2218yescomplemented
71#10622329C2218yescomplemented
72#10622327C2218yes—
73#10622323C2218yes—
74#10622316C2218yescomplemented
75C4×Dic44C2218yescomplemented
76#10622310C2218yes—
77C22×Q8×C11D411yescharacteristic
78C22×D44C2311yescharacteristic
79C22×C4×D11—21no—
80C22×Dic22—21no—
81C22×Dic22C2311yescharacteristic
82C22×Dic22C2311yescharacteristic
83C22×Dic22C2311yescharacteristic
84C22×C8×C11C2311yescharacteristic
85C22×C8×C11C2311yescharacteristic
86C22×C8×C11C2311yescharacteristic
87C22×C8×C11C2311yescharacteristic
88C4×Q8×C11D414yes—
89C4×Q8×C11C2314yes—
90C2×C11×C4⋊C4D411yescharacteristic
91C2×C11×C4⋊C4D411yescharacteristic
92C2×C11×C4⋊C4D411yescharacteristic
93C2×C42×C11C2311yescharacteristic
94C2×C42×C11C2311yescharacteristic
95C2×C42×C11C2311yescharacteristic
96#66999—28no—
97#66997—28no—
98C2×(C2×D11)⋊C4—21no—
99C2×(C2×D11)⋊C4—21no—
100C2×(C2×D11)⋊C4—21no—
101C2×(C2×D11)⋊C4—21no—
102C2×(C2×D11)⋊C4—21no—
103C2×C4⋊Dic11—21no—
104C2×C4⋊Dic11—21no—
105C2×C4⋊Dic11—21no—
106C2×C4⋊Dic11C2311yescharacteristic
107C2×C4⋊Dic11C2311yescharacteristic
108C2×C4⋊Dic11C2311yescharacteristic
109C2×C4⋊Dic11C2311yescharacteristic
110C2×Dic11⋊C4—21no—
111C2×Dic11⋊C4—21no—
112C2×Dic11⋊C4—21no—
113C2×Dic11⋊C4—21no—
114C2×Dic11⋊C4—21no—
115C2×Dic11⋊C4—21no—
116C2×Dic11⋊C4—21no—
117C2×Dic11⋊C4—21no—
118C2×Dic11⋊C4—21no—
119C2×C4×Dic11—21no—
120C2×C4×Dic11—21no—
121C2×C4×Dic11—21no—
122C2×C4×Dic11—21no—
123C2×C4×Dic11—21no—
124C2×Dic44—24no—
125C2×Dic44—24no—
126C2×Dic44C2314yes—
127C2×Dic44C2314yes—
128C2×#4314—24no—
129C2×#4314C2314yes—
130#66951—28no—
131#66951—28no—
132#66945—28no—
133#66942—28no—
134#66942—28no—
135#66940—28no—
136#66928—22no—
137#66928—22no—
138#66928C2314yes—
139#66928C2314yes—
140C4×D44—22no—
141C4×D44C2314yes—
142#66923—22no—
143#66923—22no—
144#66923C2314yes—
145#66923C2314yes—
146#66922—22no—
147#66922—22no—
148#66922C2314yes—
149#66922C2314yes—
150C4×Dic22—22no—
151C4×Dic22—22no—
152C4×Dic22—22no—
153C4×Dic22—22no—
154C4×Dic22—22no—
155C4×Dic22C2314yes—
156C4×Dic22C2314yes—
157C4×Dic22C2314yes—
158C4×Dic22C2314yes—
159C4×Dic22C2314yes—
160C11×C4⋊C8C2314yes—
161C11×C4⋊C8C2314yes—
162C11×C4⋊C8C2314yes—
163C11×#97C2314yes—
164C11×#97C2314yes—
165C4×C8×C11C2314yes—
166#66885C2314yes—
167#66885C2314yes—
168#66885C2314yes—
169#66882C2314yes—
170#66882C2314yes—
171#66881C2314yes—
172#66880C2314yes—
173#66880C2314yes—
174#66880C2314yes—
175#66880C2314yes—
176#66880C2314yes—
177#66880C2314yes—
178#66880C2314yes—
179C2×#3377—111nomaximal, Sylow
180C23×D11—21no—
181C2×Q8×C11—42no—
182C2×Q8×C11C2×D414yes—
183C22×C4×C11C2×D411yescharacteristic
184C22×C4×C11C2×D411yescharacteristic
185C22×C4×C11C2×D411yescharacteristic
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2×D411yescharacteristic
189C22×C4×C11C2411yescharacteristic
190C22×Dic11—21no—
191C22×Dic11—21no—
192C22×Dic11—21no—
193C22×Dic11—21no—
194C22×Dic11—21no—
195C22×Dic11—21no—
196C22×Dic11—21no—
197C2×D44—21no—
198C2×D44—22no—
199C2×D44—22no—
200C2×D44C2412yes—
201C2×C4×D11—24no—
202C2×C4×D11—44no—
203C2×Dic22—21no—
204C2×Dic22—21no—
205C2×Dic22—21no—
206C2×Dic22—24no—
207C2×Dic22—22no—
208C2×Dic22—22no—
209C2×Dic22—22no—
210C2×Dic22—22no—
211C2×Dic22—22no—
212C2×Dic22—44no—
213C2×Dic22#4114yes—
214C2×Dic22C2412yes—
215C2×Dic22C2412yes—
216C2×Dic22C2412yes—
217C2×C8×C11—22no—
218C2×C8×C11—22no—
219C2×C8×C11—22no—
220C2×C8×C11—22no—
221C2×C8×C11C2412yes—
222C2×C8×C11C2412yes—
223C2×C8×C11C2412yes—
224C2×C8×C11C2412yes—
225C11×C4⋊C4C2×D414yes—
226C11×C4⋊C4C2×D414yes—
227C11×C4⋊C4C2×D414yes—
228C42×C11C2×D412yes—
229C42×C11C2×D412yes—
230C42×C11C2×D412yes—
231C42×C11C2412yes—
232C42×C11C2412yes—
233C42×C11C2412yes—
234(C2×D11)⋊C4—24no—
235(C2×D11)⋊C4—24no—
236(C2×D11)⋊C4—24no—
237(C2×D11)⋊C4—24no—
238(C2×D11)⋊C4—24no—
239C4⋊Dic11—21no—
240C4⋊Dic11—21no—
241C4⋊Dic11—21no—
242C4⋊Dic11—21no—
243C4⋊Dic11—24no—
244C4⋊Dic11—24no—
245C4⋊Dic11—24no—
246C4⋊Dic11C2412yes—
247C4⋊Dic11C2412yes—
248C4⋊Dic11C2412yes—
249C4⋊Dic11C2412yes—
250Dic11⋊C4—24no—
251Dic11⋊C4—24no—
252Dic11⋊C4—24no—
253Dic11⋊C4—24no—
254Dic11⋊C4—24no—
255Dic11⋊C4—24no—
256Dic11⋊C4—24no—
257Dic11⋊C4—24no—
258Dic11⋊C4—24no—
259C4×Dic11—24no—
260C4×Dic11—24no—
261C4×Dic11—24no—
262C4×Dic11—24no—
263C4×Dic11—24no—
264Dic44—28no—
265Dic44—28no—
266#4314—28no—
267C2×#557—111no—
268C2×#556—111no—
269#3377—1116no—
270C2×#491—111no—
271C2×#489—111no—
272C2×#488—111no—
273C2×#479—111no—
274C2×#477—111no—
275C2×#478—111no—
276C2×#464—111no—
277C2×#464—111no—
278C2×#462—111no—
279C2×#446D1111yescharacteristic, complemented
280C2×#441—111no—
281C2×#440—111no—
282C2×C4×Q16—111no—
283C23×C11C22×D411yescharacteristic
284C22×D11—22no—
285C22×D11—42no—
286C22×D11—42no—
287C22×D11—42no—
288Q8×C11—44no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11C22×D412yes—
296C2×C4×C11C22×D412yes—
297C2×C4×C11C22×D412yes—
298C2×C4×C11C22×D412yes—
299C2×C4×C11C22×D412yes—
300C2×C4×C11C22×D412yes—
301C2×C4×C11C22×D411yescharacteristic
302C2×C4×C11C2×#4112yes—
303C2×C4×C112−1+412yes—
304C2×C4×C11C2511yescharacteristic
305C2×Dic11—24no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—42no—
318C2×Dic11—42no—
319D44—22no—
320D44—22no—
321D44—42no—
322C4×D11—48no—
323Dic22—24no—
324Dic22—22no—
325Dic22—22no—
326Dic22—22no—
327Dic22—22no—
328Dic22—22no—
329Dic22—48no—
330Dic22—42no—
331Dic22—42no—
332Dic22C2×#4114yes—
333C8×C11—22no—
334C8×C11—22no—
335C8×C11—22no—
336C8×C11—22no—
337C22×Q16—111no—
338C22×Q16—111no—
339C22×SD16—111no—
340#557—118no—
341#557—224no—
342#556—118no—
343#556—224no—
344C2×C4⋊Q8—111no—
345C2×C4⋊Q8—111no—
346C2×C4⋊Q8—221no—
347C2×#126—221no—
348C2×#126—221no—
349C2×#125—111no—
350C2×#125—111no—
351C2×#125—221no—
352C2×#125—221no—
353C2×#124—111no—
354C2×#124—111no—
355C2×C22⋊Q8—221no—
356C2×C4×Q8—111no—
357C2×C4×Q8—111no—
358C2×C4×Q8—111no—
359C2×C4×Q8—111no—
360C2×C4×Q8—111no—
361C2×C4×Q8—221no—
362C2×C4×Q8C2×D1111yescharacteristic
363C2×C4×D4—111no—
364C2×#117—221no—
365#491—118no—
366#489—118no—
367#488—118no—
368#479—118no—
369#478—118no—
370#477—118no—
371#464—118no—
372#464—118no—
373#462—118no—
374#446C2×D1118yescomplemented
375#441—118no—
376#440—118no—
377C4×Q16—118no—
378C2×#107—111no—
379C2×#107—111no—
380C2×#106—111no—
381C2×C4⋊C8C2×D1111yescharacteristic
382C2×C4⋊C8C2×D1111yescharacteristic
383C2×C4⋊C8C2×D1111yescharacteristic
384C2×#103—111no—
385C2×#103—111no—
386C2×#103—111no—
387C2×#103—111no—
388C2×#103—111no—
389C2×#103—111no—
390C2×#103—111no—
391C2×#102—111no—
392C2×#102—111no—
393C2×#102—111no—
394C2×#97C2×D1111yescharacteristic
395C2×#97C2×D1111yescharacteristic
396C2×C4×C8C2×D1111yescharacteristic
397C22×C11#54812yes—
398C22×C11#57512yes—
399C22×C11#57812yes—
400C22×C11C23×D411yescharacteristic
401C2×D11—42no—
402C2×D11—42no—
403C2×D11—42no—
404C2×D11—84no—
405C4×C11—22no—
406C4×C11—22no—
407C4×C11—22no—
408C4×C11—22no—
409C4×C11—22no—
410C4×C11—22no—
411C4×C11#54812yes—
412C4×C11C22×#4111yescharacteristic
413C4×C11C2×2−1+411yescharacteristic
414Dic11—24no—
415Dic11—42no—
416Dic11—42no—
417Dic11—42no—
418Dic11—42no—
419Dic11—42no—
420Dic11—42no—
421C22×Q8—111no—
422C22×Q8—111no—
423C22×Q8—111no—
424C22×Q8—221no—
425C22×Q8D4411yescharacteristic
426C22×D4—111no—
427C23×C4—221no—
428C2×Q16—114no—
429C2×Q16—114no—
430C2×Q16—224no—
431C2×Q16—224no—
432C2×SD16—114no—
433C2×SD16—224no—
434C22×C8C22×D1111yescharacteristic
435C22×C8C22×D1111yescharacteristic
436C22×C8C22×D1111yescharacteristic
437C22×C8C22×D1111yescharacteristic
438C4⋊Q8—114no—
439C4⋊Q8—114no—
440C4⋊Q8—228no—
441C4⋊Q8—222no—
442C4⋊Q8—222no—
443#126—228no—
444#126—228no—
445#125—114no—
446#125—114no—
447#125—228no—
448#125—228no—
449#125—222no—
450#125—222no—
451#124—114no—
452#124—114no—
453#124—222no—
454#124—222no—
455C22⋊Q8—228no—
456C4×Q8—114no—
457C4×Q8—114no—
458C4×Q8—114no—
459C4×Q8—114no—
460C4×Q8—114no—
461C4×Q8—228no—
462C4×Q8—222no—
463C4×Q8—222no—
464C4×Q8—222no—
465C4×Q8—222no—
466C4×Q8—222no—
467C4×Q8D4414yes—
468C4×Q8C22×D1114yes—
469C4×D4—114no—
470C4×D4—222no—
471#117—228no—
472C2×C4⋊C4—111no—
473C2×C4⋊C4—111no—
474C2×C4⋊C4—111no—
475C2×C4⋊C4—111no—
476C2×C4⋊C4—221no—
477C2×C4⋊C4—221no—
478C2×C4⋊C4—221no—
479C2×C4⋊C4—221no—
480C2×C4⋊C4—221no—
481C2×C4⋊C4—221no—
482C2×C4⋊C4—221no—
483C2×C4⋊C4—221no—
484C2×C4⋊C4—221no—
485C2×C4⋊C4—221no—
486C2×C4⋊C4—221no—
487C2×C4⋊C4—221no—
488C2×C4⋊C4D4411yescharacteristic
489C2×C4⋊C4D4411yescharacteristic
490C2×C4⋊C4D4411yescharacteristic
491C2×C22⋊C4—221no—
492C2×C22⋊C4—221no—
493C2×C22⋊C4—221no—
494C2×C22⋊C4—221no—
495C2×C22⋊C4—221no—
496C2×C42—221no—
497C2×C42—221no—
498C2×C42—221no—
499C2×C42—221no—
500C2×C42—221no—
501C2×C42C22×D1111yescharacteristic
502C2×C42C22×D1111yescharacteristic
503C2×C42C22×D1111yescharacteristic
504#107—114no—
505#107—114no—
506#106—114no—
507C4⋊C8C22×D1114yes—
508C4⋊C8C22×D1114yes—
509C4⋊C8C22×D1114yes—
510#103—114no—
511#103—114no—
512#103—114no—
513#103—114no—
514#103—114no—
515#103—114no—
516#103—114no—
517#102—114no—
518#102—114no—
519#102—114no—
520#97C22×D1114yes—
521#97C22×D1114yes—
522C4×C8C22×D1114yes—
523C2×C11#337714yescomplemented
524C2×C11C2×#54811yescharacteristic
525C2×C11C2×#57511yescharacteristic
526C2×C11C2×#57811yescharacteristic
527D11—82no—
528C24—221no—
529C2×Q8—42no—
530C2×Q8—114no—
531C2×Q8—112no—
532C2×Q8—112no—
533C2×Q8—112no—
534C2×Q8—221no—
535C2×Q8—221no—
536C2×Q8—221no—
537C2×Q8—224no—
538C2×Q8—222no—
539C2×Q8—222no—
540C2×Q8—222no—
541C2×Q8—222no—
542C2×Q8—222no—
543C2×Q8—444no—
544C2×Q8C2×D4414yes—
545C2×D4—112no—
546C2×D4—221no—
547C2×D4—222no—
548C2×D4—222no—
549C22×C4—221no—
550C22×C4—221no—
551C22×C4—221no—
552C22×C4—221no—
553C22×C4—221no—
554C22×C4—221no—
555C22×C4—221no—
556C22×C4—224no—
557C22×C4—444no—
558C22×C4C2×D4411yescharacteristic
559C22×C4C2×D4411yescharacteristic
560C22×C4C2×D4411yescharacteristic
561C22×C4C2×D4411yescharacteristic
562C22×C4C2×D4411yescharacteristic
563C22×C4C2×D4411yescharacteristic
564C22×C4C23×D1111yescharacteristic
565Q16—228no—
566Q16—228no—
567SD16—228no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8C23×D1112yes—
573C2×C8C23×D1112yes—
574C2×C8C23×D1112yes—
575C2×C8C23×D1112yes—
576C4⋊C4—112no—
577C4⋊C4—112no—
578C4⋊C4—112no—
579C4⋊C4—112no—
580C4⋊C4—221no—
581C4⋊C4—221no—
582C4⋊C4—221no—
583C4⋊C4—221no—
584C4⋊C4—224no—
585C4⋊C4—224no—
586C4⋊C4—224no—
587C4⋊C4—224no—
588C4⋊C4—224no—
589C4⋊C4—224no—
590C4⋊C4—224no—
591C4⋊C4—224no—
592C4⋊C4—224no—
593C4⋊C4—224no—
594C4⋊C4—224no—
595C4⋊C4—224no—
596C4⋊C4C2×D4414yes—
597C4⋊C4C2×D4414yes—
598C4⋊C4C2×D4414yes—
599C22⋊C4—224no—
600C22⋊C4—224no—
601C22⋊C4—224no—
602C22⋊C4—224no—
603C22⋊C4—224no—
604C42—224no—
605C42—224no—
606C42—224no—
607C42—224no—
608C42—224no—
609C42C2×D4412yes—
610C42C2×D4412yes—
611C42C2×D4412yes—
612C42C23×D1112yes—
613C42C23×D1112yes—
614C42C23×D1112yes—
615C11C2×#337711yescharacteristic, complemented, Sylow
616C23—222no—
617C23—442no—
618C23—442no—
619C23—442no—
620C23C22×D4411yescharacteristic
621Q8—44no—
622Q8—114no—
623Q8—224no—
624Q8—222no—
625Q8—222no—
626Q8—222no—
627Q8—222no—
628Q8—222no—
629Q8—448no—
630Q8—442no—
631Q8—442no—
632D4—222no—
633D4—222no—
634D4—442no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—224no—
642C2×C4—222no—
643C2×C4—222no—
644C2×C4—222no—
645C2×C4—222no—
646C2×C4—222no—
647C2×C4—222no—
648C2×C4—222no—
649C2×C4—448no—
650C2×C4—442no—
651C2×C4—442no—
652C2×C4—442no—
653C2×C4—442no—
654C2×C4—442no—
655C2×C4—442no—
656C2×C4C22×D4412yes—
657C2×C4C22×D4412yes—
658C2×C4C22×D4412yes—
659C2×C4C22×D4412yes—
660C2×C4C22×D4412yes—
661C2×C4C22×D4412yes—
662C2×C4C22×D4411yescharacteristic
663C2×C4#6704012yes—
664C2×C4#41×D1112yes—
665C2×C4C24×D1111yescharacteristic
666C8—22no—
667C8—22no—
668C8—22no—
669C8—22no—
670C22—442no—
671C22—442no—
672C22—442no—
673C22—884no—
674C22#1062310712yes—
675C22#1062327912yes—
676C22#1062328412yes—
677C22C23×D4411yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—224no—
685C4—442no—
686C4—442no—
687C4—442no—
688C4—442no—
689C4—442no—
690C4—442no—
691C4#1062310712yes—
692C4C2×#6704011yescharacteristic
693C4C2×#41×D1111yescharacteristic
694C2—882no—
695C2#1308146014yesdirect product factor
696C2C2×#1062310711yescharacteristic
697C2C2×#1062327911yescharacteristic
698C2C2×#1062328411yescharacteristic
subgroupG/H
centerC23C22×D44
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#446C2
socleC23×C11C22×D4
prime radicalC22×D44C23
hypercenterC2×#446D11
hypocenterC11C2×#3377
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#10623098C2semidirect
3. #13081460C2direct (N × H)
4. C2×#10622316C2semidirect
7. C2×#10622442C2semidirect
8. C2×#10622463C2semidirect
12. C2×#10622462C2semidirect
13. C2×#10622329C2semidirect
15. C2×C4×Dic44C2semidirect
16. C2×C11×#446C2semidirect
26. #10623098C22semidirect
45. C11×#446C22semidirect
65. #10622463C22semidirect
66. #10622462C22semidirect
70. #10622442C22semidirect
71. #10622329C22semidirect
74. #10622316C22semidirect
75. C4×Dic44C22semidirect
279. C2×#446D11semidirect
374. #446C2×D11semidirect
523. C2×C11#3377semidirect
615. C11C2×#3377semidirect
695. C2#13081460direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230982
C2×#106231152
#130814602
C2×#106223162
C2×#106223272
C2×#106223102
C2×#106224422
C2×#106224632
C2×#106224602
C2×#106224582
C2×#106224622
C2×#106223292
C2×#106223232
C2×C4×Dic442
C2×C11×#4462
C2×#337711