Finite Group Databasebeta

← C2×#13081148 #15632402

Subgroups — C2×#13081148 #15632402

Order 2816.

1834 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623073C211yesmaximal, characteristic
2C2×#10623072C211yesmaximal, characteristic
3#13081148C2116yesmaximal, direct product factor
4C2×#10622315C211yesmaximal, characteristic, complemented
5C2×#10622335C211yesmaximal, characteristic, complemented
6C2×#10622336C211yesmaximal, characteristic, complemented
7C2×#10622336C211yesmaximal, characteristic, complemented
8C2×#10622336C211yesmaximal, characteristic, complemented
9C2×#10622442C211yesmaximal, characteristic, complemented
10C2×#10622463C211yesmaximal, characteristic, complemented
11C2×#10622750C211yesmaximal, characteristic, complemented
12C2×#10622729C211yesmaximal, characteristic, complemented
13C2×#10622329C211yesmaximal, characteristic, complemented
14C2×#10622734C211yesmaximal, characteristic, complemented
15C2×#10622719C211yesmaximal, characteristic, complemented
16C2×C11×#435C211yesmaximal, characteristic
17C22×C11×M16C2211yescharacteristic
18C23×C8×C11C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C2×#66989—21no—
21C2×#66988—21no—
22C2×#66979C2211yescharacteristic
23C2×#66979C2211yescharacteristic
24C2×#66979C2211yescharacteristic
25C22×C4⋊Dic11C2211yescharacteristic
26C2×#66977C2211yescharacteristic
27C2×#66977C2211yescharacteristic
28C2×#66977C2211yescharacteristic
29C2×#66977C2211yescharacteristic
30C22×Dic44C2211yescharacteristic
31#10623073—24no—
32#10623073C2218yes—
33#10623072—24no—
34#10623072C2218yes—
35C2×#66942—21no—
36C2×#66940—21no—
37C2×#66932—21no—
38C2×#66932—21no—
39C2×#66932—21no—
40C2×#66930—21no—
41C2×#66923C2211yescharacteristic
42C2×#66922C2211yescharacteristic
43C2×C4×Dic22C2211yescharacteristic
44C2×C4×Dic22C2211yescharacteristic
45C11×#435C2218yes—
46C2×C11×C4⋊C8C2211yescharacteristic
47C2×C11×C22⋊C8C2211yescharacteristic
48C2×C11×C22⋊C8C2211yescharacteristic
49C2×C11×#97C2211yescharacteristic
50#10622750C2218yescomplemented
51#10622734C2218yescomplemented
52#10622729C2218yescomplemented
53#10622719C2218yescomplemented
54C2×#66882C2211yescharacteristic
55C2×#66882C2211yescharacteristic
56C2×#66882C2211yescharacteristic
57C2×#66882C2211yescharacteristic
58C2×#66882C2211yescharacteristic
59C2×#66881C2211yescharacteristic
60C2×#66881C2211yescharacteristic
61C2×#66881C2211yescharacteristic
62C2×#66881C2211yescharacteristic
63C2×#66880C2211yescharacteristic
64C2×#66880C2211yescharacteristic
65C2×#66880C2211yescharacteristic
66C2×#66880C2211yescharacteristic
67C2×#66880C2211yescharacteristic
68C2×#66880C2211yescharacteristic
69#10622463C2218yescomplemented
70#10622442C2218yescomplemented
71#10622336C2218yescomplemented
72#10622336C2218yescomplemented
73#10622336C2218yescomplemented
74#10622335C2218yescomplemented
75#10622329C2218yescomplemented
76#10622315C2218yescomplemented
77C22×D4×C11D411yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C23×Dic11—21no—
81C22×Dic22—21no—
82C22×Dic22C2311yescharacteristic
83C22×Dic22C2311yescharacteristic
84C2×C11×M16—24no—
85C2×C11×M16C2314yes—
86C22×C8×C11—24no—
87C22×C8×C11C2314yes—
88C22×C8×C11C2311yescharacteristic
89C22×C8×C11C2311yescharacteristic
90C22×C8×C11C2311yescharacteristic
91C22×C8×C11C2311yescharacteristic
92C4×D4×C11D414yes—
93C4×D4×C11C2314yes—
94C2×C11×C4⋊C4D411yescharacteristic
95C2×C11×C22⋊C4D411yescharacteristic
96C2×C11×C22⋊C4D411yescharacteristic
97C2×C42×C11C2311yescharacteristic
98C2×C22⋊Dic11—21no—
99C2×C22⋊Dic11—21no—
100C2×C22⋊Dic11—21no—
101C2×C22⋊Dic11—21no—
102C2×C22⋊Dic11—21no—
103C2×C22⋊Dic11—21no—
104C2×C22⋊Dic11—21no—
105#66989—28no—
106#66988—28no—
107#66979—22no—
108#66979—22no—
109#66979—22no—
110#66979C2314yes—
111#66979C2314yes—
112#66979C2314yes—
113C2×C4⋊Dic11—21no—
114C2×C4⋊Dic11—21no—
115C2×C4⋊Dic11—22no—
116C2×C4⋊Dic11C2314yes—
117C2×C4⋊Dic11C2311yescharacteristic
118C2×C4⋊Dic11C2311yescharacteristic
119C2×C4⋊Dic11C2311yescharacteristic
120C2×C4⋊Dic11C2311yescharacteristic
121C2×C4⋊Dic11C2311yescharacteristic
122C2×C4⋊Dic11C2311yescharacteristic
123#66977—22no—
124#66977—22no—
125#66977—22no—
126#66977—22no—
127#66977C2314yes—
128#66977C2314yes—
129#66977C2314yes—
130#66977C2314yes—
131C2×Dic11⋊C4—21no—
132C2×Dic11⋊C4—21no—
133C2×Dic11⋊C4—21no—
134C2×Dic11⋊C4—21no—
135C2×Dic11⋊C4—21no—
136C2×Dic11⋊C4—21no—
137C2×Dic11⋊C4—21no—
138C2×Dic11⋊C4—21no—
139C2×C4×Dic11—21no—
140C2×C4×Dic11—21no—
141C2×C4×Dic11—21no—
142C2×C4×Dic11—21no—
143C2×C4×Dic11—21no—
144C2×Dic44—24no—
145C2×Dic44C2314yes—
146#66942—28no—
147#66940—28no—
148#66932—28no—
149#66932—28no—
150#66932—28no—
151#66930—28no—
152#66923—22no—
153#66923C2314yes—
154#66922—22no—
155#66922C2314yes—
156C4×Dic22—22no—
157C4×Dic22—22no—
158C4×Dic22C2314yes—
159C4×Dic22C2314yes—
160C11×C4⋊C8C2314yes—
161C11×C22⋊C8C2314yes—
162C11×C22⋊C8C2314yes—
163C11×#97C2314yes—
164#66882C2314yes—
165#66882C2314yes—
166#66882C2314yes—
167#66882C2314yes—
168#66882C2314yes—
169#66881C2314yes—
170#66881C2314yes—
171#66881C2314yes—
172#66881C2314yes—
173#66880C2314yes—
174#66880C2314yes—
175#66880C2314yes—
176#66880C2314yes—
177#66880C2314yes—
178#66880C2314yes—
179C2×#3349—111nomaximal, Sylow
180C24×C11C2×D411yescharacteristic
181C24×C11C2×D411yescharacteristic
182C2×D4×C11—42no—
183C2×D4×C11C2×D414yes—
184C22×C4×C11—22no—
185C22×C4×C11—22no—
186C22×C4×C11—22no—
187C22×C4×C11—22no—
188C22×C4×C11C2×D411yescharacteristic
189C22×C4×C11C2×D411yescharacteristic
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2×D412yes—
193C22×C4×C11C2×D412yes—
194C22×C4×C11C2412yes—
195C22×C4×C11C2412yes—
196C22×C4×C11C2411yescharacteristic
197C22×Dic11—24no—
198C22×Dic11—21no—
199C22×Dic11—21no—
200C22×Dic11—21no—
201C22×Dic11—21no—
202C22×Dic11—21no—
203C22×Dic11—21no—
204C22×Dic11—21no—
205C22×Dic11—21no—
206C22×Dic11—44no—
207C2×Dic22—21no—
208C2×Dic22—21no—
209C2×Dic22—24no—
210C2×Dic22—22no—
211C2×Dic22—22no—
212C2×Dic22—22no—
213C2×Dic22—22no—
214C2×Dic22—44no—
215C2×Dic22C2412yes—
216C2×Dic22C2412yes—
217C11×M16—28no—
218C2×C8×C11—28no—
219C2×C8×C11—22no—
220C2×C8×C11—22no—
221C2×C8×C11—22no—
222C2×C8×C11#4114yes—
223C2×C8×C11C2412yes—
224C2×C8×C11C2412yes—
225C2×C8×C11C2412yes—
226C2×C8×C11C2412yes—
227C11×C4⋊C4C2×D414yes—
228C11×C22⋊C4C2×D414yes—
229C11×C22⋊C4C2×D414yes—
230C42×C11C2×D412yes—
231C42×C11C2412yes—
232C22⋊Dic11—24no—
233C22⋊Dic11—24no—
234C22⋊Dic11—24no—
235C22⋊Dic11—24no—
236C22⋊Dic11—24no—
237C22⋊Dic11—24no—
238C22⋊Dic11—24no—
239C4⋊Dic11—21no—
240C4⋊Dic11—21no—
241C4⋊Dic11—21no—
242C4⋊Dic11—21no—
243C4⋊Dic11—24no—
244C4⋊Dic11—21no—
245C4⋊Dic11—21no—
246C4⋊Dic11—24no—
247C4⋊Dic11C2412yes—
248C4⋊Dic11C2412yes—
249C4⋊Dic11C2412yes—
250C4⋊Dic11C2412yes—
251C4⋊Dic11C2412yes—
252C4⋊Dic11C2412yes—
253Dic11⋊C4—24no—
254Dic11⋊C4—24no—
255Dic11⋊C4—24no—
256Dic11⋊C4—24no—
257Dic11⋊C4—24no—
258Dic11⋊C4—24no—
259Dic11⋊C4—24no—
260Dic11⋊C4—24no—
261C4×Dic11—24no—
262C4×Dic11—24no—
263C4×Dic11—24no—
264C4×Dic11—24no—
265C4×Dic11—24no—
266Dic44—28no—
267C2×#556—111no—
268C2×#552—111no—
269#3349—1116no—
270C2×#501—111no—
271C2×#484—111no—
272C2×#485—111no—
273C2×#485—111no—
274C2×#485—111no—
275C2×#479—111no—
276C2×#477—111no—
277C2×#470—111no—
278C2×#467—111no—
279C2×#441—111no—
280C2×#435D1111yescharacteristic
281C2×#428—111no—
282C2×#427—111no—
283C23×C11—22no—
284C23×C11—22no—
285C23×C11—22no—
286C23×C11—22no—
287C23×C11—22no—
288C23×C11—22no—
289C23×C11C22×D412yes—
290C23×C11C22×D412yes—
291C23×C11C22×D411yescharacteristic
292D4×C11—44no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—22no—
297C2×C4×C11—24no—
298C2×C4×C11—24no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—22no—
303C2×C4×C11C22×D412yes—
304C2×C4×C11C22×D412yes—
305C2×C4×C11C22×D412yes—
306C2×C4×C11C22×D412yes—
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C2×#4112yes—
309C2×C4×C112−1+412yes—
310C2×C4×C11C2511yescharacteristic
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—22no—
317C2×Dic11—22no—
318C2×Dic11—22no—
319C2×Dic11—48no—
320C2×Dic11—42no—
321C2×Dic11—42no—
322C2×Dic11—42no—
323C2×Dic11—42no—
324C2×Dic11—42no—
325C2×Dic11—42no—
326C2×Dic11—42no—
327C2×Dic11—42no—
328Dic22—22no—
329Dic22—22no—
330Dic22—22no—
331Dic22—22no—
332Dic22—48no—
333Dic22—42no—
334Dic22—42no—
335C8×C11—22no—
336C8×C11—22no—
337C8×C11—22no—
338C8×C11C2×#4114yes—
339C22×Q16—111no—
340C22×M16C2×D1111yescharacteristic
341C23×C8C2×D1111yescharacteristic
342#556—118no—
343#556—224no—
344#552—118no—
345#552—224no—
346C2×C4⋊Q8—111no—
347C2×#126—221no—
348C2×#126—221no—
349C2×#126—221no—
350C2×#125—111no—
351C2×#125—221no—
352C2×#124—221no—
353C2×#123—221no—
354C2×C22⋊Q8—111no—
355C2×C22⋊Q8—111no—
356C2×C22⋊Q8—111no—
357C2×C22⋊Q8—111no—
358C2×C4×Q8—111no—
359C2×C4×Q8—111no—
360C2×C4×Q8—221no—
361C2×C4×D4C2×D1111yescharacteristic
362C2×#117—111no—
363C2×#117—111no—
364C2×#117—111no—
365C2×#117—221no—
366C22×C4⋊C4—111no—
367#501—118no—
368#485—118no—
369#485—118no—
370#485—118no—
371#484—118no—
372#479—118no—
373#477—118no—
374#470—118no—
375#467—118no—
376#441—118no—
377#435C2×D1118yes—
378#428—118no—
379#427—118no—
380C2×#107—111no—
381C2×#107—111no—
382C2×#107—111no—
383C2×#107—111no—
384C2×#107—111no—
385C2×#106—111no—
386C2×#106—111no—
387C2×#106—111no—
388C2×#106—111no—
389C2×C4⋊C8C2×D1111yescharacteristic
390C2×#103—111no—
391C2×#103—111no—
392C2×#103—111no—
393C2×#103—111no—
394C2×#103—111no—
395C2×#103—111no—
396C2×C22⋊C8C2×D1111yescharacteristic
397C2×C22⋊C8C2×D1111yescharacteristic
398C2×#97C2×D1111yescharacteristic
399C22×C11—22no—
400C22×C11—22no—
401C22×C11—22no—
402C22×C11—22no—
403C22×C11—22no—
404C22×C11—22no—
405C22×C11—44no—
406C22×C11—44no—
407C22×C11#54712yes—
408C22×C11#57512yes—
409C22×C11#57812yes—
410C22×C11C23×D411yescharacteristic
411C4×C11—22no—
412C4×C11—22no—
413C4×C11—22no—
414C4×C11—22no—
415C4×C11#54712yes—
416C4×C11C22×#4111yescharacteristic
417C4×C11C2×2−1+411yescharacteristic
418Dic11—42no—
419Dic11—42no—
420Dic11—42no—
421Dic11—42no—
422Dic11—42no—
423Dic11—42no—
424Dic11—42no—
425Dic11—42no—
426C22×Q8—111no—
427C22×Q8—111no—
428C22×Q8—221no—
429C22×D4D4411yescharacteristic
430C23×C4—221no—
431C23×C4C22×D1111yescharacteristic
432C23×C4C22×D1111yescharacteristic
433C2×Q16—114no—
434C2×Q16—224no—
435C2×M16—24no—
436C2×M16C22×D1114yes—
437C22×C8—24no—
438C22×C8C22×D1111yescharacteristic
439C22×C8C22×D1114yes—
440C22×C8C22×D1111yescharacteristic
441C22×C8C22×D1111yescharacteristic
442C22×C8C22×D1111yescharacteristic
443C4⋊Q8—114no—
444C4⋊Q8—222no—
445#126—228no—
446#126—228no—
447#126—228no—
448#125—114no—
449#125—228no—
450#125—222no—
451#124—228no—
452#123—228no—
453C22⋊Q8—114no—
454C22⋊Q8—114no—
455C22⋊Q8—114no—
456C22⋊Q8—114no—
457C22⋊Q8—222no—
458C22⋊Q8—222no—
459C22⋊Q8—222no—
460C22⋊Q8—222no—
461C4×Q8—114no—
462C4×Q8—114no—
463C4×Q8—228no—
464C4×Q8—222no—
465C4×Q8—222no—
466C4×D4D4414yes—
467C4×D4C22×D1114yes—
468#117—114no—
469#117—114no—
470#117—114no—
471#117—222no—
472#117—222no—
473#117—222no—
474#117—228no—
475C2×C4⋊C4—111no—
476C2×C4⋊C4—111no—
477C2×C4⋊C4—114no—
478C2×C4⋊C4—111no—
479C2×C4⋊C4—111no—
480C2×C4⋊C4—111no—
481C2×C4⋊C4—111no—
482C2×C4⋊C4—221no—
483C2×C4⋊C4—222no—
484C2×C4⋊C4—221no—
485C2×C4⋊C4—221no—
486C2×C4⋊C4—221no—
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⋊C4D4411yescharacteristic
494C2×C22⋊C4—221no—
495C2×C22⋊C4—221no—
496C2×C22⋊C4—221no—
497C2×C22⋊C4—221no—
498C2×C22⋊C4—221no—
499C2×C22⋊C4—221no—
500C2×C22⋊C4—221no—
501C2×C22⋊C4D4411yescharacteristic
502C2×C22⋊C4D4411yescharacteristic
503C2×C42—221no—
504C2×C42—221no—
505C2×C42—221no—
506C2×C42—221no—
507C2×C42—221no—
508C2×C42C22×D1111yescharacteristic
509#107—114no—
510#107—114no—
511#107—114no—
512#107—114no—
513#107—114no—
514#106—114no—
515#106—114no—
516#106—114no—
517#106—114no—
518C4⋊C8C22×D1114yes—
519#103—114no—
520#103—114no—
521#103—114no—
522#103—114no—
523#103—114no—
524#103—114no—
525C22⋊C8C22×D1114yes—
526C22⋊C8C22×D1114yes—
527#97C22×D1114yes—
528C2×C11—42no—
529C2×C11—42no—
530C2×C11#334914yescomplemented
531C2×C11C2×#54711yescharacteristic
532C2×C11C2×#57511yescharacteristic
533C2×C11C2×#57811yescharacteristic
534C24C2×D4411yescharacteristic
535C24C2×D4411yescharacteristic
536C2×Q8—112no—
537C2×Q8—112no—
538C2×Q8—221no—
539C2×Q8—221no—
540C2×Q8—224no—
541C2×Q8—222no—
542C2×Q8—222no—
543C2×Q8—222no—
544C2×Q8—222no—
545C2×Q8—444no—
546C2×D4—42no—
547C2×D4C2×D4414yes—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—224no—
553C22×C4—221no—
554C22×C4—221no—
555C22×C4—221no—
556C22×C4—221no—
557C22×C4—221no—
558C22×C4—221no—
559C22×C4—221no—
560C22×C4—221no—
561C22×C4—444no—
562C22×C4C2×D4412yes—
563C22×C4C2×D4412yes—
564C22×C4C2×D4411yescharacteristic
565C22×C4C2×D4411yescharacteristic
566C22×C4C2×D4411yescharacteristic
567C22×C4C2×D4411yescharacteristic
568C22×C4C23×D1112yes—
569C22×C4C23×D1112yes—
570C22×C4C23×D1111yescharacteristic
571Q16—228no—
572M16—28no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8—22no—
576C2×C8—28no—
577C2×C8#434114yes—
578C2×C8C23×D1112yes—
579C2×C8C23×D1112yes—
580C2×C8C23×D1112yes—
581C2×C8C23×D1112yes—
582C4⋊C4—112no—
583C4⋊C4—112no—
584C4⋊C4—112no—
585C4⋊C4—112no—
586C4⋊C4—112no—
587C4⋊C4—112no—
588C4⋊C4—221no—
589C4⋊C4—221no—
590C4⋊C4—224no—
591C4⋊C4—221no—
592C4⋊C4—221no—
593C4⋊C4—221no—
594C4⋊C4—221no—
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⋊C4C2×D4414yes—
605C22⋊C4—224no—
606C22⋊C4—224no—
607C22⋊C4—224no—
608C22⋊C4—224no—
609C22⋊C4—224no—
610C22⋊C4—224no—
611C22⋊C4—224no—
612C22⋊C4C2×D4414yes—
613C22⋊C4C2×D4414yes—
614C42—224no—
615C42—224no—
616C42—224no—
617C42—224no—
618C42—224no—
619C42C2×D4412yes—
620C42C23×D1112yes—
621C11C2×#334911yescharacteristic, complemented, Sylow
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23—22no—
628C23C22×D4412yes—
629C23C22×D4412yes—
630C23C22×D4411yescharacteristic
631Q8—222no—
632Q8—222no—
633Q8—222no—
634Q8—222no—
635Q8—448no—
636Q8—442no—
637Q8—442no—
638D4—44no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—222no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—222no—
657C2×C4—448no—
658C2×C4—442no—
659C2×C4—442no—
660C2×C4—442no—
661C2×C4—442no—
662C2×C4—442no—
663C2×C4—442no—
664C2×C4—442no—
665C2×C4—442no—
666C2×C4C22×D4412yes—
667C2×C4C22×D4412yes—
668C2×C4C22×D4412yes—
669C2×C4C22×D4412yes—
670C2×C4C22×D4411yescharacteristic
671C2×C4C2×#434112yes—
672C2×C4#6704312yes—
673C2×C4C24×D1111yescharacteristic
674C8—22no—
675C8—22no—
676C8—22no—
677C8C2×#434114yes—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—44no—
685C22—44no—
686C22#1062308612yes—
687C22#1062327912yes—
688C22#1062328412yes—
689C22C23×D4411yescharacteristic
690C4—22no—
691C4—22no—
692C4—22no—
693C4—22no—
694C4—442no—
695C4—442no—
696C4—442no—
697C4—442no—
698C4—442no—
699C4—442no—
700C4—442no—
701C4—442no—
702C4#1062308612yes—
703C4C22×#434111yescharacteristic
704C4C2×#6704311yescharacteristic
705C2—42no—
706C2—42no—
707C2#1308114814yesdirect product factor
708C2C2×#1062308611yescharacteristic
709C2C2×#1062327911yescharacteristic
710C2C2×#1062328411yescharacteristic
subgroupG/H
centerC23C22×D44
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#435C2
socleC23×C11C22×D4
prime radicalC22×D4×C11D4
hypercenterC2×#435D11
hypocenterC11C2×#3349
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
3. #13081148C2direct (N × H)
4. C2×#10622315C2semidirect
5. C2×#10622335C2semidirect
6. C2×#10622336C2semidirect
7. C2×#10622336C2semidirect
8. C2×#10622336C2semidirect
9. C2×#10622442C2semidirect
10. C2×#10622463C2semidirect
11. C2×#10622750C2semidirect
12. C2×#10622729C2semidirect
13. C2×#10622329C2semidirect
14. C2×#10622734C2semidirect
15. C2×#10622719C2semidirect
50. #10622750C22semidirect
51. #10622734C22semidirect
52. #10622729C22semidirect
53. #10622719C22semidirect
69. #10622463C22semidirect
70. #10622442C22semidirect
71. #10622336C22semidirect
72. #10622336C22semidirect
73. #10622336C22semidirect
74. #10622335C22semidirect
75. #10622329C22semidirect
76. #10622315C22semidirect
530. C2×C11#3349semidirect
621. C11C2×#3349semidirect
707. C2#13081148direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230732
C2×#106230722
#130811482
C2×#106223152
C2×#106223352
C2×#106223362
C2×#106224422
C2×#106224632
C2×#106227502
C2×#106227292
C2×#106223292
C2×#106227342
C2×#106227192
C2×C11×#4352
C2×#334911