Finite Group Databasebeta

← C2×#13081187 #15632463

Subgroups — C2×#13081187 #15632463

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×#10623060C211yesmaximal, characteristic
2C2×#10623044C211yesmaximal, characteristic
3#13081187C2116yesmaximal, direct product factor
4C2×#10622471C211yesmaximal, characteristic, complemented
5C2×#10622497C211yesmaximal, characteristic, complemented
6C2×#10622583C211yesmaximal, characteristic, complemented
7C2×#10622480C211yesmaximal, characteristic, complemented
8C2×#10622609C211yesmaximal, characteristic, complemented
9C2×#10622470C211yesmaximal, characteristic, complemented
10C2×#10622490C211yesmaximal, characteristic, complemented
11C2×#10622481C211yesmaximal, characteristic, complemented
12C2×#10622750C211yesmaximal, characteristic, complemented
13C2×#10622486C211yesmaximal, characteristic, complemented
14C2×#10622741C211yesmaximal, characteristic
15C2×#10622494C211yesmaximal, characteristic, complemented
16C2×C11×#428C211yesmaximal, characteristic, complemented
17C22×C11×M16C2211yescharacteristic
18C2×C11×#117C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C2×#66982—21no—
21C2×C4×C22⋊D11C2211yescharacteristic
22C2×#66979—21no—
23C2×#66977C2211yescharacteristic
24C2×#66977C2211yescharacteristic
25C22×Dic44C2211yescharacteristic
26C22×#4313C2211yescharacteristic
27#10623060—24no—
28#10623060C2218yes—
29#10623044—24no—
30#10623044C2218yes—
31C2×#66951—21no—
32C2×#66950C2211yescharacteristic
33C2×#66950C2211yescharacteristic
34C2×#66945C2211yescharacteristic
35C2×C4⋊C4×D11C2211yescharacteristic
36C2×#66943C2211yescharacteristic
37C2×#66943C2211yescharacteristic
38C2×#66942—21no—
39C2×#66940C2211yescharacteristic
40C2×#66940C2211yescharacteristic
41C2×#66936—21no—
42C2×#66932—21no—
43C2×#66925—21no—
44C2×#66923—21no—
45C11×#428C2218yescomplemented
46C2×C11×#107C2211yescharacteristic
47C2×C11×#107C2211yescharacteristic
48C2×C11×#106C2211yescharacteristic
49C2×C11×#106C2211yescharacteristic
50C2×C22⋊(C11⋊C8)C2211yescharacteristic
51#10622750C2218yescomplemented
52#10622741C2218yes—
53C2×(C2×D11)⋊C8C2211yescharacteristic
54C2×#66881C2211yescharacteristic
55C2×#66880C2211yescharacteristic
56C2×#66880C2211yescharacteristic
57C2×Dic11⋊C8C2211yescharacteristic
58C2×C8×Dic11C2211yescharacteristic
59#10622609C2218yescomplemented
60#10622583C2218yescomplemented
61C2×#66874C2211yescharacteristic
62C2×#66874C2211yescharacteristic
63C2×#66874C2211yescharacteristic
64C2×#66874C2211yescharacteristic
65C2×#66872C2211yescharacteristic
66C2×#66871C2211yescharacteristic
67C2×#66871C2211yescharacteristic
68C2×#66871C2211yescharacteristic
69#10622497C2218yescomplemented
70#10622494C2218yescomplemented
71#10622490C2218yescomplemented
72#10622486C2218yescomplemented
73#10622481C2218yescomplemented
74#10622480C2218yescomplemented
75#10622471C2218yescomplemented
76#10622470C2218yescomplemented
77C23×C4×C11—21no—
78C23×C4×C11C2311yescharacteristic
79C22×C22⋊D11D411yescharacteristic
80C22×C4×D11—21no—
81C22×C4×D11C2311yescharacteristic
82C22×Dic22C2311yescharacteristic
83C22×Dic22C2311yescharacteristic
84C2×C11×M16—24no—
85C2×C11×M16C2314yes—
86C22×C8×C11C2311yescharacteristic
87C22×C8×C11C2311yescharacteristic
88C11×#117—22no—
89C11×#117C2314yes—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—22no—
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2314yes—
97C2×C11×C22⋊C4—21no—
98C2×C42×C11—21no—
99C2×C22⋊Dic11—21no—
100C2×C22⋊Dic11—21no—
101C2×C22⋊Dic11D411yescharacteristic
102#66982—28no—
103C4×C22⋊D11D414yes—
104C4×C22⋊D11C2314yes—
105C2×(C2×D11)⋊C4—21no—
106C2×(C2×D11)⋊C4—21no—
107C2×(C2×D11)⋊C4—21no—
108C2×(C2×D11)⋊C4D411yescharacteristic
109#66979—28no—
110C2×C4⋊Dic11—21no—
111C2×C4⋊Dic11—21no—
112C2×C4⋊Dic11—21no—
113C2×C4⋊Dic11—21no—
114C2×C4⋊Dic11C2311yescharacteristic
115C2×C4⋊Dic11C2311yescharacteristic
116#66977—22no—
117#66977—22no—
118#66977C2314yes—
119#66977C2314yes—
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×C4×Dic11—21no—
129C2×C4×Dic11—21no—
130C2×C4×Dic11—21no—
131C2×C4×Dic11C2311yescharacteristic
132C22×C11⋊C8C2311yescharacteristic
133C22×C11⋊C8C2311yescharacteristic
134C2×Dic44—24no—
135C2×Dic44C2314yes—
136C2×#4313—24no—
137C2×#4313C2314yes—
138#66951—28no—
139#66950—22no—
140#66950—22no—
141#66950C2314yes—
142#66950C2314yes—
143#66945—22no—
144#66945C2314yes—
145C4⋊C4×D11—22no—
146C4⋊C4×D11C2314yes—
147#66943—22no—
148#66943—22no—
149#66943C2314yes—
150#66943C2314yes—
151#66942—28no—
152#66940—22no—
153#66940—22no—
154#66940C2314yes—
155#66940C2314yes—
156#66936—28no—
157#66932—28no—
158#66925—28no—
159#66923—28no—
160C11×#107C2314yes—
161C11×#107C2314yes—
162C11×#106C2314yes—
163C11×#106C2314yes—
164C22⋊(C11⋊C8)C2314yes—
165(C2×D11)⋊C8C2314yes—
166#66881C2314yes—
167#66880C2314yes—
168#66880C2314yes—
169Dic11⋊C8C2314yes—
170C8×Dic11C2314yes—
171#66874C2314yes—
172#66874C2314yes—
173#66874C2314yes—
174#66874C2314yes—
175#66872C2314yes—
176#66871C2314yes—
177#66871C2314yes—
178#66871C2314yes—
179C2×#3352—111nomaximal, Sylow
180C24×C11C2×D411yescharacteristic
181C23×D11C2×D411yescharacteristic
182C22×C4×C11—22no—
183C22×C4×C11—22no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11—21no—
187C22×C4×C11—21no—
188C22×C4×C11—24no—
189C22×C4×C11—44no—
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2×D412yes—
192C22×C4×C11C2412yes—
193C22×C4×C11C2411yescharacteristic
194C2×C22⋊D11—42no—
195C2×C22⋊D11C2×D414yes—
196C22×Dic11—21no—
197C22×Dic11—21no—
198C22×Dic11—21no—
199C22×Dic11—21no—
200C22×Dic11C2×D411yescharacteristic
201C22×Dic11C2×D411yescharacteristic
202C22×Dic11C2×D411yescharacteristic
203C2×C4×D11—24no—
204C2×C4×D11—22no—
205C2×C4×D11—22no—
206C2×C4×D11—44no—
207C2×C4×D11C2×D412yes—
208C2×C4×D11C2412yes—
209C2×Dic22—21no—
210C2×Dic22—21no—
211C2×Dic22—22no—
212C2×Dic22—22no—
213C2×Dic22—22no—
214C2×Dic22—22no—
215C2×Dic22C2412yes—
216C2×Dic22C2412yes—
217C11×M16—28no—
218C2×C8×C11—22no—
219C2×C8×C11#4114yes—
220C2×C8×C11C2412yes—
221C2×C8×C11C2412yes—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—24no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4C2412yes—
228C11×C4⋊C4C2412yes—
229C11×C4⋊C4C2412yes—
230C11×C4⋊C4C2412yes—
231C11×C22⋊C4—24no—
232C42×C11—24no—
233C22⋊Dic11—24no—
234C22⋊Dic11—24no—
235C22⋊Dic11C2×D414yes—
236(C2×D11)⋊C4—24no—
237(C2×D11)⋊C4—24no—
238(C2×D11)⋊C4—24no—
239(C2×D11)⋊C4C2×D414yes—
240C4⋊Dic11—24no—
241C4⋊Dic11—24no—
242C4⋊Dic11—24no—
243C4⋊Dic11—24no—
244C4⋊Dic11—21no—
245C4⋊Dic11—21no—
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—
256C4×Dic11—24no—
257C4×Dic11—24no—
258C4×Dic11—24no—
259C4×Dic11C2×D412yes—
260C4×Dic11C2412yes—
261C2×C11⋊C8—22no—
262C2×C11⋊C8—22no—
263C2×C11⋊C8C2412yes—
264C2×C11⋊C8C2412yes—
265Dic44—28no—
266#4313—28no—
267C2×#552—111no—
268C2×#552—111no—
269#3352—1116no—
270C2×#499—111no—
271C2×#484—111no—
272C2×#484—111no—
273C2×#485—111no—
274C2×#485—111no—
275C2×#479—111no—
276C2×#479—111no—
277C2×#470—111no—
278C2×#470—111no—
279C2×C4×Q16—111no—
280C2×#436—111no—
281C2×#428—111no—
282C2×#428D1111yescharacteristic, complemented
283C23×C11—22no—
284C23×C11—22no—
285C23×C11—22no—
286C23×C11C22×D412yes—
287C23×C11C22×D411yescharacteristic
288C22×D11—22no—
289C22×D11—22no—
290C22×D11—22no—
291C22×D11C22×D412yes—
292C2×C4×C11—22no—
293C2×C4×C11—24no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—48no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11—42no—
305C2×C4×C11C22×D412yes—
306C2×C4×C11C22×D411yescharacteristic
307C2×C4×C11C2×#4112yes—
308C2×C4×C112−1+412yes—
309C2×C4×C11C2511yescharacteristic
310C22⋊D11—44no—
311C2×Dic11—22no—
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—42no—
322C2×Dic11C22×D412yes—
323C2×Dic11C22×D412yes—
324C2×Dic11C22×D412yes—
325C4×D11—24no—
326C4×D11—22no—
327C4×D11—22no—
328C4×D11—48no—
329Dic22—22no—
330Dic22—22no—
331Dic22—22no—
332Dic22—22no—
333Dic22—42no—
334Dic22—42no—
335C8×C11—22no—
336C8×C11C2×#4114yes—
337C11⋊C8—22no—
338C11⋊C8—22no—
339C22×Q16—111no—
340C22×M16—111no—
341C22×M16C2×D1111yescharacteristic
342#552—118no—
343#552—118no—
344#552—224no—
345#552—224no—
346C2×#126—221no—
347C2×#126—221no—
348C2×#125—111no—
349C2×#125—111no—
350C2×#125—221no—
351C2×#125—221no—
352C2×#123—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×D4—111no—
361C2×#117—111no—
362C2×#117—221no—
363C2×#117—221no—
364C2×#117C2×D1111yescharacteristic
365C22×C4⋊C4—111no—
366C22×C4⋊C4C2×D1111yescharacteristic
367#499—118no—
368#485—118no—
369#485—118no—
370#484—118no—
371#484—118no—
372#479—118no—
373#479—118no—
374#470—118no—
375#470—118no—
376C4×Q16—118no—
377#436—118no—
378#428—118no—
379#428C2×D1118yescomplemented
380C2×#107—111no—
381C2×#107—111no—
382C2×#107—111no—
383C2×#107C2×D1111yescharacteristic
384C2×#107C2×D1111yescharacteristic
385C2×#106—111no—
386C2×#106—111no—
387C2×#106C2×D1111yescharacteristic
388C2×#106C2×D1111yescharacteristic
389C2×C4⋊C8—111no—
390C2×#103—111no—
391C2×#103—111no—
392C2×#103—111no—
393C2×#103—111no—
394C2×#103—111no—
395C2×#103—111no—
396C2×C22⋊C8—111no—
397C2×C22⋊C8—111no—
398C2×C4×C8—111no—
399C22×C11—22no—
400C22×C11—22no—
401C22×C11—22no—
402C22×C11—44no—
403C22×C11#54712yes—
404C22×C11#57512yes—
405C22×C11#57812yes—
406C22×C11C23×D411yescharacteristic
407C2×D11—22no—
408C2×D11—22no—
409C2×D11—22no—
410C2×D11—44no—
411C4×C11—22no—
412C4×C11—42no—
413C4×C11—42no—
414C4×C11—42no—
415C4×C11—42no—
416C4×C11#54712yes—
417C4×C11C22×#4111yescharacteristic
418C4×C11C2×2−1+411yescharacteristic
419Dic11—22no—
420Dic11—22no—
421Dic11—22no—
422Dic11—42no—
423Dic11—42no—
424Dic11—42no—
425Dic11—42no—
426C22×Q8—111no—
427C22×Q8—111no—
428C22×D4—111no—
429C23×C4—21no—
430C23×C4—111no—
431C23×C4—221no—
432C23×C4C22×D1111yescharacteristic
433C2×Q16—114no—
434C2×Q16—224no—
435C2×M16—24no—
436C2×M16—114no—
437C2×M16—224no—
438C2×M16C22×D1114yes—
439C22×C8—111no—
440C22×C8—111no—
441C22×C8C22×D1111yescharacteristic
442C22×C8C22×D1111yescharacteristic
443#126—228no—
444#126—228no—
445#125—114no—
446#125—114no—
447#125—228no—
448#125—222no—
449#125—222no—
450#125—228no—
451#123—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—222no—
464C4×Q8—222no—
465C4×D4—114no—
466C4×D4—114no—
467#117—22no—
468#117—114no—
469#117—228no—
470#117—228no—
471#117—222no—
472#117C22×D1114yes—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—22no—
475C2×C4⋊C4—111no—
476C2×C4⋊C4—111no—
477C2×C4⋊C4—111no—
478C2×C4⋊C4—114no—
479C2×C4⋊C4—222no—
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⋊C4—221no—
489C2×C4⋊C4—221no—
490C2×C4⋊C4—221no—
491C2×C4⋊C4C22×D1111yescharacteristic
492C2×C4⋊C4C22×D1111yescharacteristic
493C2×C4⋊C4C22×D1111yescharacteristic
494C2×C4⋊C4C22×D1114yes—
495C2×C4⋊C4C22×D1111yescharacteristic
496C2×C22⋊C4—21no—
497C2×C22⋊C4—111no—
498C2×C22⋊C4—111no—
499C2×C22⋊C4—221no—
500C2×C22⋊C4—221no—
501C2×C22⋊C4—221no—
502C2×C22⋊C4—221no—
503C2×C22⋊C4—221no—
504C2×C42—21no—
505C2×C42—111no—
506C2×C42—221no—
507C2×C42—221no—
508C2×C42—221no—
509#107—114no—
510#107—114no—
511#107—114no—
512#107C22×D1114yes—
513#107C22×D1114yes—
514#106—114no—
515#106—114no—
516#106C22×D1114yes—
517#106C22×D1114yes—
518C4⋊C8—114no—
519#103—114no—
520#103—114no—
521#103—114no—
522#103—114no—
523#103—114no—
524#103—114no—
525C22⋊C8—114no—
526C22⋊C8—114no—
527C4×C8—114no—
528C2×C11—42no—
529C2×C11#335214yescomplemented
530C2×C11C2×#54711yescharacteristic
531C2×C11C2×#57511yescharacteristic
532C2×C11C2×#57811yescharacteristic
533D11—42no—
534C24—111no—
535C24D4×D1111yescharacteristic
536C2×Q8—112no—
537C2×Q8—112no—
538C2×Q8—221no—
539C2×Q8—221no—
540C2×Q8—222no—
541C2×Q8—222no—
542C2×Q8—222no—
543C2×Q8—222no—
544C2×D4—114no—
545C2×D4—442no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—24no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—44no—
554C22×C4—111no—
555C22×C4—111no—
556C22×C4—111no—
557C22×C4—112no—
558C22×C4—112no—
559C22×C4—224no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—221no—
563C22×C4—221no—
564C22×C4—221no—
565C22×C4—221no—
566C22×C4—444no—
567C22×C4D4×D1112yes—
568C22×C4D4×D1111yescharacteristic
569C22×C4C23×D1112yes—
570C22×C4C23×D1111yescharacteristic
571Q16—228no—
572M16—28no—
573M16—228no—
574C2×C8—22no—
575C2×C8—112no—
576C2×C8—112no—
577C2×C8—222no—
578C2×C8—222no—
579C2×C8#433914yes—
580C2×C8C23×D1112yes—
581C2×C8C23×D1112yes—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—24no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—114no—
588C4⋊C4—112no—
589C4⋊C4—112no—
590C4⋊C4—224no—
591C4⋊C4—224no—
592C4⋊C4—224no—
593C4⋊C4—224no—
594C4⋊C4—224no—
595C4⋊C4—224no—
596C4⋊C4—224no—
597C4⋊C4—224no—
598C4⋊C4—224no—
599C4⋊C4—221no—
600C4⋊C4—221no—
601C4⋊C4—224no—
602C4⋊C4—224no—
603C4⋊C4C23×D1112yes—
604C4⋊C4C23×D1112yes—
605C4⋊C4C23×D1112yes—
606C4⋊C4C23×D1112yes—
607C22⋊C4—24no—
608C22⋊C4—114no—
609C22⋊C4—114no—
610C22⋊C4—224no—
611C22⋊C4—224no—
612C22⋊C4—224no—
613C22⋊C4—224no—
614C22⋊C4—224no—
615C42—24no—
616C42—112no—
617C42—112no—
618C42—224no—
619C42—224no—
620C42—224no—
621C11C2×#335211yescharacteristic, complemented, Sylow
622C23—22no—
623C23—22no—
624C23—22no—
625C23—112no—
626C23—222no—
627C23—222no—
628C23—222no—
629C23C2×D4×D1112yes—
630C23C2×D4×D1111yescharacteristic
631Q8—222no—
632Q8—222no—
633Q8—222no—
634Q8—222no—
635Q8—442no—
636Q8—442no—
637D4—444no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—48no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—112no—
652C2×C4—112no—
653C2×C4—112no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—222no—
657C2×C4—224no—
658C2×C4—222no—
659C2×C4—222no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—222no—
664C2×C4—448no—
665C2×C4—442no—
666C2×C4—442no—
667C2×C4—442no—
668C2×C4—442no—
669C2×C4C2×#433912yes—
670C2×C4C2×D4×D1112yes—
671C2×C4C2×D4×D1111yescharacteristic
672C2×C4#6704012yes—
673C2×C4C24×D1111yescharacteristic
674C8—22no—
675C8—222no—
676C8—222no—
677C8C2×#433914yes—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—44no—
682C22—222no—
683C22—222no—
684C22—222no—
685C22—444no—
686C22#1062303812yes—
687C22#1062330412yes—
688C22#1062331012yes—
689C22C22×D4×D1111yescharacteristic
690C4—22no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—222no—
696C4—222no—
697C4—222no—
698C4—442no—
699C4—442no—
700C4—442no—
701C4—442no—
702C4#1062303812yes—
703C4C22×#433911yescharacteristic
704C4C2×#6704011yescharacteristic
705C2—42no—
706C2—442no—
707C2#1308118714yesdirect product factor
708C2C2×#1062303811yescharacteristic
709C2C2×#1062330411yescharacteristic
710C2C2×#1062331011yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#428C2
socleC23×C11C22×D4
prime radicalC22×C22⋊D11D4
hypercenterC2×#428D11
hypocenterC11C2×#3352
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
3. #13081187C2direct (N × H)
4. C2×#10622471C2semidirect
5. C2×#10622497C2semidirect
6. C2×#10622583C2semidirect
7. C2×#10622480C2semidirect
8. C2×#10622609C2semidirect
9. C2×#10622470C2semidirect
10. C2×#10622490C2semidirect
11. C2×#10622481C2semidirect
12. C2×#10622750C2semidirect
13. C2×#10622486C2semidirect
15. C2×#10622494C2semidirect
16. C2×C11×#428C2semidirect
45. C11×#428C22semidirect
51. #10622750C22semidirect
59. #10622609C22semidirect
60. #10622583C22semidirect
69. #10622497C22semidirect
70. #10622494C22semidirect
71. #10622490C22semidirect
72. #10622486C22semidirect
73. #10622481C22semidirect
74. #10622480C22semidirect
75. #10622471C22semidirect
76. #10622470C22semidirect
282. C2×#428D11semidirect
379. #428C2×D11semidirect
529. C2×C11#3352semidirect
621. C11C2×#3352semidirect
707. C2#13081187direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230602
C2×#106230442
#130811872
C2×#106224712
C2×#106224972
C2×#106225832
C2×#106224802
C2×#106226092
C2×#106224702
C2×#106224902
C2×#106224812
C2×#106227502
C2×#106224862
C2×#106227412
C2×#106224942
C2×C11×#4282
C2×#335211