Finite Group Databasebeta

← C2×#13080069 #15626729

Subgroups — C2×#13080069 #15626729

Order 2816.

1754 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623228C211yesmaximal, characteristic
2C2×#10623114C211yesmaximal, characteristic
3#13080069C2116yesmaximal, direct product factor
4C2×#10622470C211yesmaximal, characteristic, complemented
5C2×#10622490C211yesmaximal, characteristic, complemented
6C2×#10622676C211yesmaximal, characteristic, complemented
7C2×#10622481C211yesmaximal, characteristic
8C2×#10622429C211yesmaximal, characteristic
9C2×#10622500C211yesmaximal, characteristic
10C2×#10622426C211yesmaximal, characteristic
11C2×#10622462C211yesmaximal, characteristic, complemented
12C2×#10622644C211yesmaximal, characteristic, complemented
13C2×#10622406C211yesmaximal, characteristic, complemented
14C2×#10622406C211yesmaximal, characteristic, complemented
15C2×#10622452C211yesmaximal, characteristic
16C2×C11×#479C211yesmaximal, characteristic, complemented
17C2×C11×#125C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C2×#66999C2211yescharacteristic
20C2×#66997C2211yescharacteristic
21C22×#4326C2211yescharacteristic
22C22×#4326C2211yescharacteristic
23C22×Dic44C2211yescharacteristic
24C22×Dic44C2211yescharacteristic
25C22×#4313C2211yescharacteristic
26C22×C8×D11C2211yescharacteristic
27#10623228—24no—
28#10623228C2218yes—
29#10623114—24no—
30#10623114C2218yes—
31C2×#66951—21no—
32C2×#66951—21no—
33C2×#66951—21no—
34C2×#66950C2211yescharacteristic
35C2×#66950C2211yescharacteristic
36C2×#66950C2211yescharacteristic
37C2×#66943—21no—
38C2×#66943—21no—
39C2×#66943C2211yescharacteristic
40C2×#66942—21no—
41C2×#66940C2211yescharacteristic
42C2×#66940C2211yescharacteristic
43C2×#66929—21no—
44C2×#66925C2211yescharacteristic
45C2×#66923—21no—
46C2×#66922C2211yescharacteristic
47C2×C4×Dic22C2211yescharacteristic
48C11×#479C2218yescomplemented
49C2×C11×#107C2211yescharacteristic
50C2×C11×#106C2211yescharacteristic
51C2×C11×C4⋊C8C2211yescharacteristic
52C2×C11×#103C2211yescharacteristic
53C2×C11×#103C2211yescharacteristic
54C2×#66880C2211yescharacteristic
55C2×#66880C2211yescharacteristic
56C2×Dic11⋊C8C2211yescharacteristic
57C2×Dic11⋊C8C2211yescharacteristic
58#10622676C2218yescomplemented
59#10622644C2218yescomplemented
60C2×#66874C2211yescharacteristic
61C2×#66874C2211yescharacteristic
62C2×#66874C2211yescharacteristic
63C2×#66874C2211yescharacteristic
64C2×#66872C2211yescharacteristic
65C2×#66871C2211yescharacteristic
66C2×C4⋊(C11⋊C8)C2211yescharacteristic
67#10622500C2218yes—
68#10622490C2218yescomplemented
69#10622481C2218yes—
70#10622470C2218yescomplemented
71#10622462C2218yescomplemented
72#10622452C2218yes—
73#10622429C2218yes—
74#10622426C2218yes—
75#10622406C2218yescomplemented
76#10622406C2218yescomplemented
77C22×Q8×C11C2311yescharacteristic
78C22×C4×D11C2311yescharacteristic
79C22×Dic22C2311yescharacteristic
80C22×Dic22C2311yescharacteristic
81C22×Dic22C2311yescharacteristic
82C22×C8×C11C2311yescharacteristic
83C22×C8×C11C2311yescharacteristic
84C11×#125—22no—
85C11×#125C2314yes—
86C4×Q8×C11—22no—
87C4×Q8×C11C2314yes—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4C2311yescharacteristic
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C42×C11—21no—
95C2×C42×C11C2311yescharacteristic
96#66999—22no—
97#66999C2314yes—
98#66997—22no—
99#66997C2314yes—
100C2×#4326—42no—
101C2×#4326—42no—
102C2×#4326C2314yes—
103C2×#4326C2314yes—
104C2×(C2×D11)⋊C4—21no—
105C2×(C2×D11)⋊C4—21no—
106C2×(C2×D11)⋊C4—21no—
107C2×(C2×D11)⋊C4—21no—
108C2×(C2×D11)⋊C4D411yescharacteristic
109C2×(C2×D11)⋊C4D411yescharacteristic
110C2×C4⋊Dic11—21no—
111C2×C4⋊Dic11—21no—
112C2×C4⋊Dic11—21no—
113C2×C4⋊Dic11—21no—
114C2×C4⋊Dic11—21no—
115C2×C4⋊Dic11—21no—
116C2×C4⋊Dic11C2311yescharacteristic
117C2×Dic11⋊C4—21no—
118C2×Dic11⋊C4—21no—
119C2×Dic11⋊C4—21no—
120C2×Dic11⋊C4—21no—
121C2×Dic11⋊C4—21no—
122C2×Dic11⋊C4—21no—
123C2×Dic11⋊C4—21no—
124C2×Dic11⋊C4D411yescharacteristic
125C2×Dic11⋊C4D411yescharacteristic
126C2×C4×Dic11—21no—
127C2×C4×Dic11—21no—
128C2×C4×Dic11—21no—
129C2×C4×Dic11C2311yescharacteristic
130C22×C11⋊C8C2311yescharacteristic
131C22×C11⋊C8C2311yescharacteristic
132C2×Dic44—42no—
133C2×Dic44—42no—
134C2×Dic44C2314yes—
135C2×Dic44C2314yes—
136C2×#4313—42no—
137C2×#4313C2314yes—
138C2×C8×D11—42no—
139C2×C8×D11C2314yes—
140#66951—28no—
141#66951—28no—
142#66951—28no—
143#66950—22no—
144#66950—22no—
145#66950—22no—
146#66950C2314yes—
147#66950C2314yes—
148#66950C2314yes—
149#66943—28no—
150#66943—28no—
151#66943—22no—
152#66943C2314yes—
153#66942—28no—
154#66940—22no—
155#66940—22no—
156#66940C2314yes—
157#66940C2314yes—
158#66929—28no—
159#66925D414yes—
160#66925C2314yes—
161#66923—28no—
162#66922—22no—
163#66922C2314yes—
164C4×Dic22—22no—
165C4×Dic22C2314yes—
166C11×#107C2314yes—
167C11×#106C2314yes—
168C11×C4⋊C8C2314yes—
169C11×#103C2314yes—
170C11×#103C2314yes—
171#66880C2314yes—
172#66880C2314yes—
173Dic11⋊C8C2314yes—
174Dic11⋊C8C2314yes—
175#66874C2314yes—
176#66874C2314yes—
177#66874C2314yes—
178#66874C2314yes—
179#66872C2314yes—
180#66871C2314yes—
181C4⋊(C11⋊C8)C2314yes—
182C2×#3261—111nomaximal, Sylow
183C23×D11C2×D411yescharacteristic
184C2×Q8×C11—21no—
185C2×Q8×C11—22no—
186C2×Q8×C11—22no—
187C2×Q8×C11C2412yes—
188C22×C4×C11—21no—
189C22×C4×C11—21no—
190C22×C4×C11—21no—
191C22×C4×C11—21no—
192C22×C4×C11C2×D411yescharacteristic
193C22×C4×C11C2×D411yescharacteristic
194C22×C4×C11C2411yescharacteristic
195C22×Dic11—21no—
196C22×Dic11—21no—
197C22×Dic11—21no—
198C22×Dic11—21no—
199C22×Dic11C2×D411yescharacteristic
200C22×Dic11C2×D411yescharacteristic
201C22×Dic11C2×D411yescharacteristic
202C2×C4×D11—22no—
203C2×C4×D11—22no—
204C2×C4×D11C2×D412yes—
205C2×C4×D11C2412yes—
206C2×Dic22—21no—
207C2×Dic22—21no—
208C2×Dic22—21no—
209C2×Dic22—22no—
210C2×Dic22—22no—
211C2×Dic22—22no—
212C2×Dic22—22no—
213C2×Dic22—22no—
214C2×Dic22—22no—
215C2×Dic22C2412yes—
216C2×Dic22C2412yes—
217C2×Dic22C2412yes—
218C2×C8×C11—22no—
219C2×C8×C11—22no—
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—24no—
227C11×C4⋊C4—24no—
228C11×C4⋊C4C2412yes—
229C11×C4⋊C4C2412yes—
230C11×C4⋊C4C2412yes—
231C42×C11—24no—
232C42×C11C2×D412yes—
233C42×C11C2412yes—
234#4326—44no—
235#4326—44no—
236(C2×D11)⋊C4—24no—
237(C2×D11)⋊C4—24no—
238(C2×D11)⋊C4—24no—
239(C2×D11)⋊C4—24no—
240(C2×D11)⋊C4C2×D414yes—
241(C2×D11)⋊C4C2×D414yes—
242C4⋊Dic11—24no—
243C4⋊Dic11—24no—
244C4⋊Dic11—24no—
245C4⋊Dic11—24no—
246C4⋊Dic11—21no—
247C4⋊Dic11—24no—
248C4⋊Dic11—24no—
249C4⋊Dic11C2412yes—
250Dic11⋊C4—24no—
251Dic11⋊C4—24no—
252Dic11⋊C4—24no—
253Dic11⋊C4—24no—
254Dic11⋊C4—24no—
255Dic11⋊C4—24no—
256Dic11⋊C4—24no—
257Dic11⋊C4C2×D414yes—
258Dic11⋊C4C2×D414yes—
259C4×Dic11—24no—
260C4×Dic11—24no—
261C4×Dic11—24no—
262C4×Dic11C2×D412yes—
263C4×Dic11C2412yes—
264C2×C11⋊C8—22no—
265C2×C11⋊C8—22no—
266C2×C11⋊C8C2412yes—
267C2×C11⋊C8C2412yes—
268Dic44—44no—
269Dic44—44no—
270#4313—44no—
271C8×D11—44no—
272C2×#541—111no—
273C2×#541—111no—
274#3261—1116no—
275C2×#479—111no—
276C2×#479—111no—
277C2×#479—111no—
278C2×#479D1111yescharacteristic, complemented
279C2×#470—111no—
280C2×#470—111no—
281C2×#467—111no—
282C2×#467—111no—
283C2×#462—111no—
284C2×#462—111no—
285C2×#462—111no—
286C2×#462—111no—
287C2×#424—111no—
288C23×C11C22×D411yescharacteristic
289C22×D11—22no—
290C22×D11—22no—
291C22×D11—22no—
292C22×D11C22×D412yes—
293Q8×C11—22no—
294Q8×C11—22no—
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×C11H(5,𝔽2)12yes—
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—22no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11—42no—
322C2×Dic11—42no—
323C2×Dic11C22×D412yes—
324C2×Dic11C22×D412yes—
325C2×Dic11C22×D412yes—
326C4×D11—24no—
327C4×D11—22no—
328C4×D11—22no—
329Dic22—22no—
330Dic22—22no—
331Dic22—22no—
332Dic22—22no—
333Dic22—22no—
334Dic22—22no—
335Dic22—42no—
336Dic22—42no—
337Dic22—42no—
338C8×C11—22no—
339C8×C11—22no—
340C11⋊C8—22no—
341C11⋊C8—22no—
342C22×Q16—111no—
343C22×Q16—111no—
344C22×Q16—111no—
345C22×Q16—111no—
346C22×M16—111no—
347C23×C8—111no—
348#541—118no—
349#541—118no—
350#541—224no—
351#541—224no—
352C2×C4⋊Q8—111no—
353C2×C4⋊Q8—111no—
354C2×#126—221no—
355C2×#126—221no—
356C2×#126—221no—
357C2×#126—221no—
358C2×#125—111no—
359C2×#125—221no—
360C2×#125—221no—
361C2×#125—221no—
362C2×#125—221no—
363C2×#125C2×D1111yescharacteristic
364C2×C22⋊Q8—111no—
365C2×C22⋊Q8—111no—
366C2×C22⋊Q8—111no—
367C2×C22⋊Q8—111no—
368C2×C4×Q8—111no—
369C2×C4×Q8—111no—
370C2×C4×Q8—111no—
371C2×C4×Q8C2×D1111yescharacteristic
372C2×#117—111no—
373#479—118no—
374#479—118no—
375#479—118no—
376#479C2×D1118yescomplemented
377#470—118no—
378#470—118no—
379#467—118no—
380#467—118no—
381#462—118no—
382#462—118no—
383#462—118no—
384#462—118no—
385C2×#107—111no—
386C2×#107C2×D1111yescharacteristic
387C2×#106—111no—
388C2×#106C2×D1111yescharacteristic
389#424—118no—
390C2×C4⋊C8—111no—
391C2×C4⋊C8—111no—
392C2×C4⋊C8—111no—
393C2×C4⋊C8C2×D1111yescharacteristic
394C2×#103—111no—
395C2×#103—111no—
396C2×#103—111no—
397C2×#103—111no—
398C2×#103—111no—
399C2×#103—111no—
400C2×#103C2×D1111yescharacteristic
401C2×#103C2×D1111yescharacteristic
402C22×C11#53712yes—
403C22×C11#57812yes—
404C22×C11#57812yes—
405C22×C11C23×D411yescharacteristic
406C2×D11—22no—
407C2×D11—22no—
408C2×D11—22no—
409C2×D11—44no—
410C4×C11—22no—
411C4×C11—22no—
412C4×C11—42no—
413C4×C11—42no—
414C4×C11—42no—
415C4×C11—42no—
416C4×C11#53712yes—
417C4×C11C2×H(5,𝔽2)11yescharacteristic
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×Q8—111no—
429C22×Q8C22×D1111yescharacteristic
430C23×C4—111no—
431C2×Q16—114no—
432C2×Q16—114no—
433C2×Q16—114no—
434C2×Q16—114no—
435C2×Q16—442no—
436C2×Q16—442no—
437C2×Q16—442no—
438C2×Q16—442no—
439C2×M16—114no—
440C2×M16—442no—
441C22×C8—111no—
442C22×C8—111no—
443C22×C8—114no—
444C22×C8—442no—
445C22×C8C22×D1111yescharacteristic
446C22×C8C22×D1111yescharacteristic
447C4⋊Q8—114no—
448C4⋊Q8—114no—
449C4⋊Q8—222no—
450C4⋊Q8—222no—
451#126—228no—
452#126—228no—
453#126—228no—
454#126—228no—
455#125—22no—
456#125—114no—
457#125—228no—
458#125—222no—
459#125—228no—
460#125—228no—
461#125—228no—
462#125C22×D1114yes—
463C22⋊Q8—114no—
464C22⋊Q8—114no—
465C22⋊Q8—114no—
466C22⋊Q8—114no—
467C22⋊Q8—222no—
468C22⋊Q8—222no—
469C22⋊Q8—222no—
470C22⋊Q8—222no—
471C4×Q8—22no—
472C4×Q8—114no—
473C4×Q8—114no—
474C4×Q8—114no—
475C4×Q8—222no—
476C4×Q8—222no—
477C4×Q8—222no—
478C4×Q8C22×D1114yes—
479#117—114no—
480#117—114no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—21no—
483C2×C4⋊C4—21no—
484C2×C4⋊C4—111no—
485C2×C4⋊C4—111no—
486C2×C4⋊C4—111no—
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⋊C4—221no—
498C2×C4⋊C4—221no—
499C2×C4⋊C4—221no—
500C2×C4⋊C4C22×D1111yescharacteristic
501C2×C4⋊C4C22×D1111yescharacteristic
502C2×C4⋊C4C22×D1111yescharacteristic
503C2×C22⋊C4—111no—
504C2×C22⋊C4—111no—
505C2×C22⋊C4—221no—
506C2×C22⋊C4—221no—
507C2×C22⋊C4—221no—
508C2×C22⋊C4—221no—
509C2×C42—21no—
510C2×C42—111no—
511C2×C42—221no—
512C2×C42—221no—
513C2×C42—221no—
514C2×C42C22×D1111yescharacteristic
515#107—114no—
516#107C22×D1114yes—
517#106—114no—
518#106C22×D1114yes—
519C4⋊C8—114no—
520C4⋊C8—114no—
521C4⋊C8—114no—
522C4⋊C8C22×D1114yes—
523#103—114no—
524#103—114no—
525#103—114no—
526#103—114no—
527#103—114no—
528#103—114no—
529#103C22×D1114yes—
530#103C22×D1114yes—
531C2×C11#326114yescomplemented
532C2×C11C2×#53711yescharacteristic
533C2×C11C2×#57811yescharacteristic
534C2×C11C2×#57811yescharacteristic
535D11—42no—
536C24—111no—
537C2×Q8—21no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—112no—
541C2×Q8—112no—
542C2×Q8—112no—
543C2×Q8—221no—
544C2×Q8—221no—
545C2×Q8—221no—
546C2×Q8—222no—
547C2×Q8—222no—
548C2×Q8—222no—
549C2×Q8—222no—
550C2×Q8—222no—
551C2×Q8—222no—
552C2×Q8C23×D1112yes—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—111no—
558C22×C4—111no—
559C22×C4—111no—
560C22×C4—112no—
561C22×C4—112no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—221no—
565C22×C4—221no—
566C22×C4—221no—
567C22×C4—221no—
568C22×C4D4×D1111yescharacteristic
569C22×C4D4×D1111yescharacteristic
570C22×C4C23×D1111yescharacteristic
571Q16—444no—
572Q16—444no—
573Q16—444no—
574Q16—444no—
575M16—444no—
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—112no—
579C2×C8—112no—
580C2×C8—222no—
581C2×C8—222no—
582C2×C8—444no—
583C2×C8C23×D1112yes—
584C2×C8C23×D1112yes—
585C4⋊C4—24no—
586C4⋊C4—24no—
587C4⋊C4—24no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—114no—
592C4⋊C4—114no—
593C4⋊C4—112no—
594C4⋊C4—224no—
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—224no—
606C4⋊C4—224no—
607C4⋊C4—224no—
608C4⋊C4C23×D1112yes—
609C4⋊C4C23×D1112yes—
610C4⋊C4C23×D1112yes—
611C22⋊C4—114no—
612C22⋊C4—114no—
613C22⋊C4—224no—
614C22⋊C4—224no—
615C22⋊C4—224no—
616C22⋊C4—224no—
617C42—24no—
618C42—112no—
619C42—112no—
620C42—224no—
621C42—224no—
622C42—224no—
623C42D4×D1112yes—
624C42C23×D1112yes—
625C11C2×#326111yescharacteristic, complemented, Sylow
626C23—112no—
627C23—222no—
628C23—222no—
629C23—222no—
630C23C2×D4×D1111yescharacteristic
631Q8—22no—
632Q8—22no—
633Q8—42no—
634Q8—222no—
635Q8—222no—
636Q8—222no—
637Q8—222no—
638Q8—222no—
639Q8—222no—
640Q8—442no—
641Q8—442no—
642Q8—442no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—112no—
654C2×C4—112no—
655C2×C4—112no—
656C2×C4—222no—
657C2×C4—222no—
658C2×C4—222no—
659C2×C4—224no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—222no—
664C2×C4—222no—
665C2×C4—222no—
666C2×C4—442no—
667C2×C4—442no—
668C2×C4—442no—
669C2×C4—442no—
670C2×C4C2×D4×D1112yes—
671C2×C4C2×D4×D1112yes—
672C2×C4C2×D4×D1111yescharacteristic
673C2×C4#6704012yes—
674C2×C4#6704212yes—
675C2×C4C24×D1111yescharacteristic
676C8—22no—
677C8—22no—
678C8—222no—
679C8—222no—
680C22—222no—
681C22—222no—
682C22—222no—
683C22—444no—
684C22#1062316012yes—
685C22#1062330212yes—
686C22#1062331012yes—
687C22C22×D4×D1111yescharacteristic
688C4—22no—
689C4—22no—
690C4—42no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—222no—
695C4—222no—
696C4—222no—
697C4—442no—
698C4—442no—
699C4—442no—
700C4—442no—
701C4#1062316012yes—
702C4C2×#6704011yescharacteristic
703C4C2×#6704211yescharacteristic
704C2—442no—
705C2#1308006914yesdirect product factor
706C2C2×#1062316011yescharacteristic
707C2C2×#1062330211yescharacteristic
708C2C2×#1062331011yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#479C2
socleC23×C11C22×D4
prime radicalC23×D11C2×D4
hypercenterC2×#479D11
hypocenterC11C2×#3261
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #13080069C2direct (N × H)
4. C2×#10622470C2semidirect
5. C2×#10622490C2semidirect
6. C2×#10622676C2semidirect
11. C2×#10622462C2semidirect
12. C2×#10622644C2semidirect
13. C2×#10622406C2semidirect
14. C2×#10622406C2semidirect
16. C2×C11×#479C2semidirect
48. C11×#479C22semidirect
58. #10622676C22semidirect
59. #10622644C22semidirect
68. #10622490C22semidirect
70. #10622470C22semidirect
71. #10622462C22semidirect
75. #10622406C22semidirect
76. #10622406C22semidirect
278. C2×#479D11semidirect
376. #479C2×D11semidirect
531. C2×C11#3261semidirect
625. C11C2×#3261semidirect
705. C2#13080069direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232282
C2×#106231142
#130800692
C2×#106224702
C2×#106224902
C2×#106226762
C2×#106224812
C2×#106224292
C2×#106225002
C2×#106224262
C2×#106224622
C2×#106226442
C2×#106224062
C2×#106224522
C2×C11×#4792
C2×#326111