Finite Group Databasebeta

← C4×#10622499 #14760404

Subgroups — C4×#10622499 #14760404

Order 2816.

1086 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×#10622499C211yesmaximal, characteristic
2C2×C4×#4314C211yesmaximal, characteristic, complemented
3C2×C4×#4313C211yesmaximal, characteristic, complemented
4C4×#66950C211yesmaximal, characteristic, complemented
5C4×#66948C211yesmaximal, characteristic
6#13069495C211yesmaximal, characteristic, complemented
7#13069355C211yesmaximal, characteristic, complemented
8#13069314C211yesmaximal, characteristic, complemented
9#13069307C211yesmaximal, characteristic, complemented
10#13069053C211yesmaximal, characteristic
11#13069048C211yesmaximal, characteristic, complemented
12#13068650C211yesmaximal, characteristic, complemented
13C4×#66874C211yesmaximal, characteristic, complemented
14C4×#66873C211yesmaximal, characteristic, complemented
15C4×C11×#107C211yesmaximal, characteristic, complemented
16C22×#4314C2211yescharacteristic
17C22×#4313C2211yescharacteristic
18C22×#4313C2211yescharacteristic
19C2×#66950C2211yescharacteristic
20C2×#66948C2211yescharacteristic
21C2×C4×D44—21no—
22C2×C4×D44C2211yescharacteristic
23C2×C42×D11C2211yescharacteristic
24C2×C4×Dic22C2211yescharacteristic
25C2×C11×#107C2211yescharacteristic
26C2×C11×#107C2211yescharacteristic
27C2×C4×C8×C11C2211yescharacteristic
28C4×C11×C4⋊C4C2211yescharacteristic
29C4×C11×C4⋊C4C2211yescharacteristic
30C2×#66885C2211yescharacteristic
31C2×#66881C2211yescharacteristic
32C2×#66880C2211yescharacteristic
33C2×#66879C2211yescharacteristic
34C2×#66879C2211yescharacteristic
35#10622601C2211yescharacteristic
36#10622600C2211yescharacteristic
37#10622600C2211yescharacteristic
38#10622598C2211yescharacteristic
39#10622598C2211yescharacteristic
40#10622587C2211yescharacteristic
41C2×#66874C2211yescharacteristic
42C2×#66874C2211yescharacteristic
43C2×#66873C2211yescharacteristic
44C2×#66873C2211yescharacteristic
45C4×(C2×D11)⋊C4—21no—
46C4×(C2×D11)⋊C4—21no—
47C4×C4⋊Dic11—21no—
48C2×C4×C11⋊C8C2211yescharacteristic
49#10622499C418yesdirect product factor
50C4×#4314—24no—
51C4×#4313—24no—
52#10622283—21no—
53#10622281—21no—
54#10622278—21no—
55#10622266—21no—
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×D44—21no—
63C22×D44C2311yescharacteristic
64C22×C4×D11—21no—
65C22×C4×D11D411yescharacteristic
66C22×C4×D11D411yescharacteristic
67C22×C4×D11C2311yescharacteristic
68C22×Dic22C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C2×C11×C4⋊C4C2311yescharacteristic
72C2×C11×C4⋊C4C2311yescharacteristic
73C2×C11×C4⋊C4C2311yescharacteristic
74C2×C11×C4⋊C4C2311yescharacteristic
75C2×C42×C11—21no—
76C2×C42×C11—21no—
77C2×C42×C11C2311yescharacteristic
78C2×(C2×D11)⋊C4—21no—
79C2×(C2×D11)⋊C4—21no—
80C2×(C2×D11)⋊C4—21no—
81C2×(C2×D11)⋊C4—21no—
82C2×(C2×D11)⋊C4—21no—
83C2×(C2×D11)⋊C4—21no—
84C2×(C2×D11)⋊C4—21no—
85C2×C4⋊Dic11—21no—
86C2×C4⋊Dic11—21no—
87C2×C4⋊Dic11—21no—
88C2×C4⋊Dic11C2311yescharacteristic
89C2×C4⋊Dic11C2311yescharacteristic
90C2×Dic11⋊C4—21no—
91C2×C4×Dic11—21no—
92C2×C4×Dic11D411yescharacteristic
93C2×C4×Dic11D411yescharacteristic
94C2×C4×Dic11C2311yescharacteristic
95C22×C11⋊C8C2311yescharacteristic
96C22×C11⋊C8C2311yescharacteristic
97C2×#4314—22no—
98C2×#4314—22no—
99C2×#4314C2×C414yescomplemented
100C2×#4313—22no—
101C2×#4313—22no—
102C2×#4313—22no—
103C2×#4313—22no—
104C2×#4313—22no—
105C2×#4313C2×C414yescomplemented
106#66950—22no—
107#66950C2×C414yescomplemented
108#66948—22no—
109#66948C2×C414yes—
110C4×D44—22no—
111C4×D44—22no—
112C4×D44—44no—
113C42×D11—22no—
114C42×D11—22no—
115C4×Dic22—22no—
116C4×Dic22—22no—
117C11×#107—22no—
118C11×#107C2×C414yescomplemented
119C4×C8×C11D414yescomplemented
120C11×#95—21no—
121C11×#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128#66885—22no—
129#66881—22no—
130#66880—22no—
131#66879—22no—
132#66879—22no—
133#66874—22no—
134#66874C2×C414yescomplemented
135#66873—22no—
136#66873C2×C414yescomplemented
137C4×C11⋊C8—22no—
138C4×#468—111nomaximal, Sylow
139C23×D11—21no—
140C23×D11C2×D411yescharacteristic
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11C2×D411yescharacteristic
146C22×C4×C11C2×D411yescharacteristic
147C22×C4×C11C2411yescharacteristic
148C22×Dic11—21no—
149C22×Dic11—21no—
150C22×Dic11—21no—
151C22×Dic11C2×D411yescharacteristic
152C22×Dic11C2×D411yescharacteristic
153C22×Dic11C2×D411yescharacteristic
154C2×D44—24no—
155C2×D44—21no—
156C2×D44—21no—
157C2×D44—21no—
158C2×D44—21no—
159C2×D44—21no—
160C2×D44—42no—
161C2×D44—42no—
162C2×D44C22×C412yes—
163C2×C4×D11—22no—
164C2×C4×D11—22no—
165C2×C4×D11—22no—
166C2×C4×D11—22no—
167C2×C4×D11—21no—
168C2×C4×D11—21no—
169C2×C4×D11—21no—
170C2×C4×D11—21no—
171C2×C4×D11—41no—
172C2×C4×D11—41no—
173C2×C4×D11—42no—
174C2×C4×D11—42no—
175C2×C4×D11—42no—
176C2×C4×D11C22×C412yes—
177C2×C4×D11#4112yes—
178C2×Dic22—21no—
179C2×Dic22—21no—
180C2×Dic22—21no—
181C2×Dic22—21no—
182C2×Dic22—21no—
183C2×Dic22C22×C412yes—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11C22×C412yes—
187C2×C8×C11C2×D412yes—
188C2×C8×C11C2×D412yes—
189C2×C8×C11#4112yes—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4C22×C412yes—
197C11×C4⋊C4C22×C412yes—
198C42×C11—42no—
199C42×C11—42no—
200C42×C11C2×D412yes—
201C42×C11#4112yes—
202(C2×D11)⋊C4—24no—
203(C2×D11)⋊C4—24no—
204(C2×D11)⋊C4—42no—
205(C2×D11)⋊C4—42no—
206(C2×D11)⋊C4—42no—
207(C2×D11)⋊C4—42no—
208(C2×D11)⋊C4—42no—
209C4⋊Dic11—24no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—42no—
215C4⋊Dic11—42no—
216Dic11⋊C4—42no—
217C4×Dic11—22no—
218C4×Dic11—22no—
219C4×Dic11—21no—
220C4×Dic11—21no—
221C4×Dic11—42no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8C22×C412yes—
227C2×C11⋊C8#4112yes—
228#4314—28no—
229#4313—28no—
230#4313—28no—
231C2×#468—111no—
232C2×C4×SD16—111no—
233C2×C4×M16—111no—
234C4×C22⋊Q8—111no—
235C4×#121—111no—
236#1973—111no—
237#1943—111no—
238#1936—111no—
239#1935—111no—
240#1895—111no—
241#1894—111no—
242#1809—111no—
243C4×#107D1111yescharacteristic, complemented
244C4×#103—111no—
245C4×#102—111no—
246C23×C11C22×D411yescharacteristic
247C22×D11—21no—
248C22×D11—21no—
249C22×D11—21no—
250C22×D11—21no—
251C22×D11—21no—
252C22×D11—21no—
253C22×D11—22no—
254C22×D11—41no—
255C22×D11—41no—
256C22×D11—41no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11C4×D412yes—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
265C2×C4×C11—41no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11#12112yes—
276C2×C4×C11#12112yes—
277C2×C4×C11AGL(1,ℤ/8)12yes—
278C2×C4×C11#13712yes—
279C2×C4×C11C23×C411yescharacteristic
280C2×C4×C11C22×D411yescharacteristic
281C2×C4×C11C2×#4111yescharacteristic
282C2×C4×C11C2×#4111yescharacteristic
283C2×C4×C11C2×#4111yescharacteristic
284C2×C4×C11C2×#4111yescharacteristic
285C2×Dic11—21no—
286C2×Dic11—21no—
287C2×Dic11—22no—
288C2×Dic11—21no—
289C2×Dic11—21no—
290C2×Dic11—21no—
291C2×Dic11—21no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—41no—
295C2×Dic11—41no—
296C2×Dic11—41no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11C4×D412yes—
303D44—22no—
304D44—22no—
305D44—48no—
306D44—41no—
307D44—41no—
308C4×D11—22no—
309C4×D11—22no—
310C4×D11—22no—
311C4×D11—22no—
312C4×D11—44no—
313C4×D11—44no—
314C4×D11—84no—
315Dic22—22no—
316Dic22—22no—
317Dic22—41no—
318Dic22—41no—
319C8×C11—22no—
320C8×C11C4×D414yescomplemented
321C11⋊C8—22no—
322C11⋊C8—22no—
323C22×SD16—111no—
324C22×M16—111no—
325C22×M16—111no—
326C2×C22⋊Q8—111no—
327C2×#121—111no—
328C2×C4×Q8—111no—
329C2×C4×D4—111no—
330C2×C4×D4—221no—
331C22×C42—111no—
332#468—118no—
333C4×SD16—224no—
334C2×#107C2×D1111yescharacteristic
335C2×#107C2×D1111yescharacteristic
336C2×#106—111no—
337C2×#103—111no—
338C2×#103—111no—
339C2×#103—111no—
340C2×#102—111no—
341C2×#102—111no—
342C2×#102—111no—
343C4×M16—224no—
344C2×#97—111no—
345C2×#97—111no—
346C2×C4×C8—111no—
347C2×C4×C8C2×D1111yescharacteristic
348#391—111no—
349#390—111no—
350#389—111no—
351#389—111no—
352#388—221no—
353#387—221no—
354#386—221no—
355#385—221no—
356#380—111no—
357#380—111no—
358C4×C4⋊C4—221no—
359C4×C4⋊C4C2×D1111yescharacteristic
360C4×C4⋊C4C2×D1111yescharacteristic
361C4×C22⋊C4—221no—
362C4×C22⋊C4—221no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367#340C2×D1111yescharacteristic
368#340C2×D1111yescharacteristic
369C22×C11C2×C4×D411yescharacteristic
370C22×C11C2×#12111yescharacteristic
371C22×C11#53211yescharacteristic
372C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
373C22×C11C2×#13711yescharacteristic
374C22×C11#57511yescharacteristic
375C22×C11#57511yescharacteristic
376C2×D11—22no—
377C2×D11—22no—
378C2×D11—22no—
379C2×D11—41no—
380C2×D11—41no—
381C2×D11—41no—
382C2×D11—41no—
383C2×D11—42no—
384C2×D11—42no—
385C2×D11—42no—
386C2×D11—81no—
387C2×D11—81no—
388C2×D11—81no—
389C2×D11—81no—
390C4×C11—22no—
391C4×C11—42no—
392C4×C11—42no—
393C4×C11—81no—
394C4×C11—81no—
395C4×C11#46814yescomplemented
396C4×C11C2×C4×D411yescharacteristic
397C4×C11C4×#4111yescharacteristic
398C4×C11#52511yescharacteristic
399C4×C11#52911yescharacteristic
400Dic11—22no—
401Dic11—41no—
402Dic11—41no—
403Dic11—42no—
404Dic11—81no—
405Dic11—81no—
406C22×Q8—111no—
407C22×D4—111no—
408C22×D4—221no—
409C23×C4—111no—
410C23×C4—111no—
411C23×C4—111no—
412C23×C4—221no—
413C2×SD16—114no—
414C2×SD16—222no—
415C2×SD16—222no—
416C2×M16—114no—
417C2×M16—222no—
418C2×M16—222no—
419C2×M16—222no—
420C2×M16—222no—
421C2×M16—222no—
422C22×C8—111no—
423C22×C8—111no—
424C22×C8C22×D1111yescharacteristic
425C22×C8C22×D1111yescharacteristic
426C22⋊Q8—114no—
427C22⋊Q8—222no—
428#121—114no—
429#121—222no—
430C4×Q8—222no—
431C4×Q8—222no—
432C4×D4—222no—
433C4×D4—222no—
434C4×D4—444no—
435C2×C4⋊C4—111no—
436C2×C4⋊C4—111no—
437C2×C4⋊C4—221no—
438C2×C4⋊C4—221no—
439C2×C4⋊C4—221no—
440C2×C4⋊C4—221no—
441C2×C4⋊C4C22×D1111yescharacteristic
442C2×C4⋊C4C22×D1111yescharacteristic
443C2×C4⋊C4C22×D1111yescharacteristic
444C2×C4⋊C4C22×D1111yescharacteristic
445C2×C22⋊C4—221no—
446C2×C22⋊C4—221no—
447C2×C22⋊C4—221no—
448C2×C22⋊C4—221no—
449C2×C22⋊C4—221no—
450C2×C22⋊C4—221no—
451C2×C22⋊C4—221no—
452C2×C42—21no—
453C2×C42—21no—
454C2×C42—111no—
455C2×C42—111no—
456C2×C42—111no—
457C2×C42—222no—
458C2×C42—222no—
459C2×C42—221no—
460C2×C42C22×D1111yescharacteristic
461#107—22no—
462#107C4×D1114yescomplemented
463#106—222no—
464#103—114no—
465#103—222no—
466#103—222no—
467#102—114no—
468#102—222no—
469#102—222no—
470#97—222no—
471#97—222no—
472C4×C8—222no—
473C4×C8D4414yescomplemented
474#95—21no—
475#95—21no—
476#95—221no—
477#95—221no—
478#95—221no—
479#95—221no—
480#95—221no—
481#95—221no—
482C2×C11C4×#12111yescharacteristic
483C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
484C2×C11C4×#13711yescharacteristic
485C2×C11C2×#46811yescharacteristic
486C2×C11#305411yescharacteristic
487C2×C11#317111yescharacteristic
488C2×C11#317211yescharacteristic
489D11—42no—
490D11—82no—
491C24—111no—
492C24—221no—
493C2×Q8—112no—
494C2×Q8—221no—
495C2×Q8—221no—
496C2×Q8—221no—
497C2×Q8—221no—
498C2×Q8—221no—
499C2×D4—112no—
500C2×D4—224no—
501C2×D4—221no—
502C2×D4—221no—
503C2×D4—221no—
504C2×D4—221no—
505C2×D4—221no—
506C2×D4—442no—
507C2×D4—442no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—111no—
513C22×C4—112no—
514C22×C4—112no—
515C22×C4—111no—
516C22×C4—111no—
517C22×C4—221no—
518C22×C4—221no—
519C22×C4—221no—
520C22×C4—221no—
521C22×C4—221no—
522C22×C4—222no—
523C22×C4—222no—
524C22×C4—222no—
525C22×C4—222no—
526C22×C4—221no—
527C22×C4—221no—
528C22×C4—441no—
529C22×C4—441no—
530C22×C4—442no—
531C22×C4—442no—
532C22×C4—442no—
533C22×C4D4×D1111yescharacteristic
534C22×C4D4×D1111yescharacteristic
535C22×C4C23×D1111yescharacteristic
536SD16—228no—
537M16—228no—
538M16—228no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—112no—
542C2×C8—112no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8C2×C4×D1112yes—
548C2×C8C2×D4412yes—
549C2×C8C2×D4412yes—
550C2×C8#433912yes—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—224no—
558C4⋊C4—221no—
559C4⋊C4—221no—
560C4⋊C4—221no—
561C4⋊C4—221no—
562C4⋊C4—442no—
563C4⋊C4—442no—
564C4⋊C4—442no—
565C4⋊C4C2×C4×D1112yes—
566C4⋊C4C2×C4×D1112yes—
567C22⋊C4—224no—
568C22⋊C4—224no—
569C22⋊C4—442no—
570C22⋊C4—442no—
571C22⋊C4—442no—
572C22⋊C4—442no—
573C22⋊C4—442no—
574C42—42no—
575C42—42no—
576C42—222no—
577C42—222no—
578C42—221no—
579C42—221no—
580C42—442no—
581C42C2×D4412yes—
582C42#434312yes—
583C11C4×#46811yescharacteristic, complemented, Sylow
584C23—112no—
585C23—221no—
586C23—221no—
587C23—221no—
588C23—221no—
589C23—221no—
590C23—221no—
591C23—222no—
592C23—441no—
593C23—441no—
594C23—441no—
595C23—441no—
596C23—441no—
597C23—441no—
598C23C2×D4×D1111yescharacteristic
599Q8—222no—
600Q8—222no—
601Q8—441no—
602Q8—441no—
603D4—222no—
604D4—222no—
605D4—448no—
606D4—441no—
607D4—441no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—112no—
623C2×C4—221no—
624C2×C4—221no—
625C2×C4—222no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—221no—
630C2×C4—221no—
631C2×C4—221no—
632C2×C4—221no—
633C2×C4—221no—
634C2×C4—221no—
635C2×C4—222no—
636C2×C4—444no—
637C2×C4—441no—
638C2×C4—441no—
639C2×C4—444no—
640C2×C4—441no—
641C2×C4—441no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—884no—
647C2×C4#6694812yes—
648C2×C4#6694812yes—
649C2×C4#6696412yes—
650C2×C4#6697112yes—
651C2×C4C22×C4×D1111yescharacteristic
652C2×C4C22×D4411yescharacteristic
653C2×C4C2×#433911yescharacteristic
654C2×C4C2×#434311yescharacteristic
655C2×C4#41×D1111yescharacteristic
656C2×C4#41×D1111yescharacteristic
657C8—22no—
658C8—222no—
659C8—222no—
660C8C4×D4414yescomplemented
661C22—222no—
662C22—222no—
663C22—222no—
664C22—441no—
665C22—441no—
666C22—441no—
667C22—441no—
668C22—442no—
669C22—442no—
670C22—442no—
671C22—881no—
672C22—881no—
673C22—881no—
674C22—881no—
675C22C2×#6694811yescharacteristic
676C22C4×D4×D1111yescharacteristic
677C22#1062307911yescharacteristic
678C22C2×#6696411yescharacteristic
679C22C2×#6697111yescharacteristic
680C22#1062329911yescharacteristic
681C22#1062329911yescharacteristic
682C4—22no—
683C4—42no—
684C4—42no—
685C4—81no—
686C4—81no—
687C4—222no—
688C4—442no—
689C4—441no—
690C4—441no—
691C4—881no—
692C4—881no—
693C4#1062249914yesdirect product factor
694C4C2×C4×D4411yescharacteristic
695C4#1062305511yescharacteristic
696C4C4×#434311yescharacteristic
697C4#1062311111yescharacteristic
698C2—442no—
699C2—882no—
700C2C4×#6694811yescharacteristic
701C2C4×#6696411yescharacteristic
702C2C4×#6697111yescharacteristic
703C2C2×#1062249911yescharacteristic
704C2#1307822611yescharacteristic
705C2#1307920911yescharacteristic
706C2#1307922011yescharacteristic
subgroupG/H
centerC22×C4D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC4×C11×#107C2
socleC23×C11C22×D4
prime radicalC2×#66948C22
cosocleC22×C4×C11C24
hypercenterC4×#107D11
hypocenterC11C4×#468
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#107

Complements

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

NH ≅ G/Ntype
2. C2×C4×#4314C2semidirect
3. C2×C4×#4313C2semidirect
4. C4×#66950C2semidirect
6. #13069495C2semidirect
7. #13069355C2semidirect
8. #13069314C2semidirect
9. #13069307C2semidirect
11. #13069048C2semidirect
12. #13068650C2semidirect
13. C4×#66874C2semidirect
14. C4×#66873C2semidirect
15. C4×C11×#107C2semidirect
49. #10622499C4direct (N × H)
99. C2×#4314C2×C4semidirect
105. C2×#4313C2×C4semidirect
107. #66950C2×C4semidirect
118. C11×#107C2×C4semidirect
119. C4×C8×C11D4semidirect
134. #66874C2×C4semidirect
136. #66873C2×C4semidirect
243. C4×#107D11semidirect
320. C8×C11C4×D4semidirect
395. C4×C11#468semidirect
462. #107C4×D11semidirect
473. C4×C8D44semidirect
583. C11C4×#468semidirect
660. C8C4×D44semidirect
693. C4#10622499direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106224992
C2×C4×#43142
C2×C4×#43132
C4×#669502
C4×#669482
#130694952
#130693552
#130693142
#130693072
#130690532
#130690482
#130686502
C4×#668742
C4×#668732
C4×C11×#1072
C4×#46811