Finite Group Databasebeta

← #14813990

Subgroups — #14813990

Order 2816.

1016 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622628C211yesmaximal, characteristic
2C2×#10622627C211yesmaximal, characteristic, complemented
3#13072381C211yesmaximal, characteristic, complemented
4#13070150C211yesmaximal, characteristic, complemented
5#13070117C211yesmaximal, characteristic, complemented
6#13070020C211yesmaximal, characteristic, complemented
7#13069850C211yesmaximal, characteristic, complemented
8#13069312C211yesmaximal, characteristic, complemented
9#13069182C211yesmaximal, characteristic, complemented
10#13068964C211yesmaximal, characteristic, complemented
11#13068964C211yesmaximal, characteristic, complemented
12#13068964C211yesmaximal, characteristic, complemented
13#13068877C211yesmaximal, characteristic, complemented
14#13068876C211yesmaximal, characteristic, complemented
15D4×C11×C4⋊C4C211yesmaximal, characteristic, complemented
16C2×C4×D4×C11C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C22×C11×C4⋊C4—21no—
20C22×#4323C2211yescharacteristic
21C22×#4323C2211yescharacteristic
22C2×#66947—21no—
23C2×#66927C2211yescharacteristic
24C2×C4×D44C2211yescharacteristic
25C11×#389C2211yescharacteristic
26C11×#389C2211yescharacteristic
27C11×#385—21no—
28C11×#385—21no—
29C11×#384C2211yescharacteristic
30C11×#380—21no—
31C4×C11×C4⋊C4C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34#10622628—24no—
35#10622627—24no—
36#10622604—21no—
37C2×#66873C2211yescharacteristic
38C2×#66873C2211yescharacteristic
39C2×#66873C2211yescharacteristic
40C2×#66873C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66872C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45#10622552C2211yescharacteristic
46#10622552C2211yescharacteristic
47#10622552C2211yescharacteristic
48#10622541C2211yescharacteristic
49C2×C4⋊(C11⋊C8)C2211yescharacteristic
50C2×#66867C2211yescharacteristic
51#10622285—21no—
52#10622278—21no—
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622162C2211yescharacteristic
58#10622162C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×D4×C11C2311yescharacteristic
62C23×C4×C11—21no—
63C23×C4×C11—21no—
64C23×C4×C11—21no—
65C22×D44—21no—
66C22×D44—21no—
67C22×D44C2311yescharacteristic
68C22×D44C2311yescharacteristic
69C22×C4×D11—21no—
70C4×D4×C11—22no—
71C4×D4×C11—22no—
72C4×D4×C11—22no—
73C4×D4×C11—22no—
74C4×D4×C11—41no—
75C4×D4×C11—41no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4—21no—
79C2×C11×C4⋊C4—21no—
80C2×C11×C4⋊C4—44no—
81C2×C11×C4⋊C4D411yescharacteristic
82C2×C11×C4⋊C4D411yescharacteristic
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C4⋊C4C2311yescharacteristic
86C2×C11×C22⋊C4—21no—
87C2×C11×C22⋊C4—21no—
88C2×C11×C22⋊C4—21no—
89C2×C42×C11C2311yescharacteristic
90C2×C42×C11C2311yescharacteristic
91C2×C42×C11C2311yescharacteristic
92C2×#4323—22no—
93C2×#4323—22no—
94C2×#4323—22no—
95C2×#4323—22no—
96C2×#4323—22no—
97C2×#4323D414yes—
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×(C2×D11)⋊C4—21no—
104C2×(C2×D11)⋊C4—21no—
105C2×C4⋊Dic11C2311yescharacteristic
106C2×C4⋊Dic11C2311yescharacteristic
107C2×Dic11⋊C4—21no—
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112#66947—44no—
113#66927—22no—
114#66927—41no—
115C4×D44—22no—
116C4×D44—41no—
117C11×#95—21no—
118C11×#95—21no—
119C11×#95D411yescharacteristic
120C11×#95D411yescharacteristic
121#66896—22no—
122#66896—22no—
123C11⋊#95—21no—
124#66873—22no—
125#66873—22no—
126#66873—22no—
127#66873—22no—
128#66873—22no—
129#66873—41no—
130#66872—22no—
131#66872—41no—
132C4⋊(C11⋊C8)—22no—
133#66867—22no—
134#26174—111nomaximal, Sylow
135C24×C11—21no—
136C23×D11—21no—
137C23×D11—21no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11C2×D412yes—
142C2×D4×C11#4112yes—
143C2×D4×C11#4112yes—
144C22×C4×C11—24no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—42no—
149C22×C4×C11—42no—
150C22×C4×C11—42no—
151C22×C4×C11—42no—
152C22×C4×C11—42no—
153C22×C4×C11—42no—
154C22×C4×C11—81no—
155C22×C4×C11—81no—
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2411yescharacteristic
163C22×Dic11—21no—
164C22×Dic11—21no—
165C2×D44—21no—
166C2×D44—21no—
167C2×D44—21no—
168C2×D44—21no—
169C2×D44—21no—
170C2×D44—21no—
171C2×D44—21no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—42no—
177C2×D44—42no—
178C2×D44—42no—
179C2×D44—42no—
180C2×D44—81no—
181C2×D44—81no—
182C2×D44C2×D412yes—
183C2×C4×D11—42no—
184C2×C4×D11—42no—
185C2×C4×D11—81no—
186C11×C4⋊C4—22no—
187C11×C4⋊C4—22no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—42no—
194C11×C4⋊C4—42no—
195C11×C4⋊C4—42no—
196C11×C4⋊C4—81no—
197C11×C4⋊C4#4112yes—
198C11×C22⋊C4—24no—
199C11×C22⋊C4—42no—
200C11×C22⋊C4—42no—
201C42×C11—21no—
202C42×C11—21no—
203C42×C11—21no—
204C42×C11—21no—
205C42×C11—21no—
206C42×C11—21no—
207#4323—28no—
208#4323—44no—
209(C2×D11)⋊C4—42no—
210(C2×D11)⋊C4—42no—
211(C2×D11)⋊C4—42no—
212(C2×D11)⋊C4—42no—
213(C2×D11)⋊C4—81no—
214(C2×D11)⋊C4—81no—
215(C2×D11)⋊C4—81no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220Dic11⋊C4—42no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8C2×D412yes—
233C2×#459—111no—
234C2×#442—111no—
235#2445—111no—
236D4×C4⋊C4D1111yescharacteristic, complemented
237#2094—111no—
238#2088—111no—
239#2071—111no—
240#2041—111no—
241#1936—111no—
242#1917—111no—
243#1879—111no—
244#1879—111no—
245#1879—111no—
246#1864—111no—
247#1864—111no—
248C23×C11—22no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11C22×D411yescharacteristic
256C22×D11—22no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—41no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270D4×C11—22no—
271D4×C11—22no—
272D4×C11—22no—
273D4×C11#12314yescomplemented
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—22no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—48no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—84no—
301C2×C4×C11—84no—
302C2×C4×C11AGL(1,ℤ/8)12yes—
303C2×C4×C11AGL(1,ℤ/8)12yes—
304C2×C4×C11C22×D411yescharacteristic
305C2×C4×C11C2×#4111yescharacteristic
306C2×C4×C11C2×#4111yescharacteristic
307C2×C4×C11C2×#4111yescharacteristic
308C2×C4×C11H(5,𝔽2)11yescharacteristic
309C2×C4×C112−1+411yescharacteristic
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316D44—22no—
317D44—22no—
318D44—41no—
319D44—41no—
320D44—41no—
321D44—41no—
322D44—41no—
323D44—41no—
324D44—84no—
325D44—84no—
326C4×D11—84no—
327C11⋊C8—22no—
328C11⋊C8—41no—
329C11⋊C8—41no—
330C11⋊C8—41no—
331C22×D8—111no—
332C22×D8—111no—
333C2×#127—111no—
334C2×#123—221no—
335C2×C4×D4—111no—
336C2×C4×D4C2×D1111yescharacteristic
337C2×C4×D4C2×D1111yescharacteristic
338C2×C4×D4C2×D1111yescharacteristic
339C22×C4⋊C4—21no—
340#459—224no—
341#442—224no—
342C2×#106—111no—
343C2×#106—111no—
344C2×C4⋊C8—111no—
345C2×#102—111no—
346C2×#102—111no—
347C2×#102—111no—
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×#102—111no—
352C2×#102—111no—
353C2×#97—111no—
354#394—221no—
355#394—221no—
356#390—111no—
357#390—111no—
358#390—111no—
359#389—111no—
360#389C2×D1111yescharacteristic
361#389C2×D1111yescharacteristic
362#386—221no—
363#385—21no—
364#385—21no—
365#384C2×D1111yescharacteristic
366#380—21no—
367C4×C4⋊C4C2×D1111yescharacteristic
368#340—111no—
369#340—111no—
370#340—111no—
371#340—111no—
372#336—111no—
373#336—111no—
374#336—111no—
375#336—111no—
376C22×C11—24no—
377C22×C11—42no—
378C22×C11—42no—
379C22×C11—42no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11#52511yescharacteristic
384C22×C11D4211yescharacteristic
385C22×C11#54811yescharacteristic
386C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
387C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
388C22×C11#57611yescharacteristic
389C22×C11#57711yescharacteristic
390C2×D11—42no—
391C2×D11—42no—
392C2×D11—42no—
393C2×D11—81no—
394C2×D11—81no—
395C2×D11—81no—
396C2×D11—81no—
397C2×D11—81no—
398C2×D11—81no—
399C2×D11—81no—
400C2×D11—81no—
401C2×D11—81no—
402C2×D11—81no—
403C2×D11—81no—
404C4×C11—22no—
405C4×C11—22no—
406C4×C11—42no—
407C4×C11—41no—
408C4×C11—41no—
409C4×C11—41no—
410C4×C11—41no—
411C4×C11—81no—
412C4×C11—81no—
413C4×C11C2×#12311yescharacteristic
414C4×C11#53911yescharacteristic
415C4×C11#54711yescharacteristic
416C4×C11#55311yescharacteristic
417Dic11—81no—
418Dic11—81no—
419C22×D4—111no—
420C22×D4—111no—
421C22×D4—221no—
422C22×D4—221no—
423C22×D4C22×D1111yescharacteristic
424C23×C4—21no—
425C23×C4—21no—
426C23×C4—21no—
427C23×C4—221no—
428C2×D8—114no—
429C2×D8—222no—
430C2×D8—222no—
431C2×D8—222no—
432C2×D8—222no—
433C2×D8—222no—
434C22×C8—111no—
435C22×C8—111no—
436C22×C8—111no—
437C22×C8—111no—
438#127—222no—
439#127—441no—
440#123—444no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—22no—
445C4×D4—41no—
446C4×D4—41no—
447C4×D4—222no—
448C4×D4—441no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—44no—
454C2×C4⋊C4—111no—
455C2×C4⋊C4—111no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4C22⋊D1111yescharacteristic
458C2×C4⋊C4C22⋊D1111yescharacteristic
459C2×C4⋊C4C22×D1111yescharacteristic
460C2×C4⋊C4C22×D1111yescharacteristic
461C2×C4⋊C4C22×D1111yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C22⋊C4—221no—
469C2×C22⋊C4—221no—
470C2×C22⋊C4—221no—
471C2×C22⋊C4—221no—
472C2×C42C22×D1111yescharacteristic
473C2×C42C22×D1111yescharacteristic
474C2×C42C22×D1111yescharacteristic
475#106—222no—
476#106—441no—
477C4⋊C8—222no—
478#102—222no—
479#102—222no—
480#102—222no—
481#102—222no—
482#102—222no—
483#102—222no—
484#102—222no—
485#102—441no—
486#97—222no—
487#95—21no—
488#95—21no—
489#95—221no—
490#95C22⋊D1111yescharacteristic
491#95C22⋊D1111yescharacteristic
492C2×C11—44no—
493C2×C11#244311yescharacteristic
494C2×C11#310911yescharacteristic
495C2×C11#311911yescharacteristic
496C2×C11#326411yescharacteristic
497C2×C11#327211yescharacteristic
498C2×C11#336611yescharacteristic
499C2×C11#337311yescharacteristic
500D11—82no—
501D11—161no—
502C24—21no—
503C24—221no—
504C24—221no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—112no—
509C2×D4—221no—
510C2×D4—221no—
511C2×D4—221no—
512C2×D4—221no—
513C2×D4—221no—
514C2×D4—221no—
515C2×D4—221no—
516C2×D4—221no—
517C2×D4—221no—
518C2×D4—221no—
519C2×D4—221no—
520C2×D4—442no—
521C2×D4—442no—
522C2×D4—442no—
523C2×D4—442no—
524C2×D4—881no—
525C2×D4—881no—
526C2×D4#433912yes—
527C2×D4D4×D1112yes—
528C2×D4#434312yes—
529C22×C4—24no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—81no—
540C22×C4—81no—
541C22×C4—221no—
542C22×C4—221no—
543C22×C4—442no—
544C22×C4—442no—
545C22×C4—881no—
546C22×C4C2×C22⋊D1111yescharacteristic
547C22×C4C2×C22⋊D1111yescharacteristic
548C22×C4C2×C22⋊D1111yescharacteristic
549C22×C4C2×C22⋊D1111yescharacteristic
550C22×C4C2×C22⋊D1111yescharacteristic
551C22×C4C2×C22⋊D1111yescharacteristic
552C22×C4C23×D1111yescharacteristic
553D8—228no—
554D8—444no—
555C2×C8—112no—
556C2×C8—221no—
557C2×C8—221no—
558C2×C8—221no—
559C2×C8—221no—
560C2×C8—221no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8—221no—
564C2×C8—221no—
565C2×C8—221no—
566C2×C8—221no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—81no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4—221no—
581C4⋊C4—221no—
582C4⋊C4—442no—
583C4⋊C4#433912yes—
584C22⋊C4—24no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—442no—
588C22⋊C4—442no—
589C22⋊C4—442no—
590C22⋊C4—442no—
591C22⋊C4—881no—
592C22⋊C4—881no—
593C22⋊C4—881no—
594C42—21no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—21no—
600C11#2617411yescharacteristic, complemented, Sylow
601C23—22no—
602C23—22no—
603C23—22no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—222no—
609C23—441no—
610C23—441no—
611C23—441no—
612C23—441no—
613C23—441no—
614C23—441no—
615C23—441no—
616C23—441no—
617C23—441no—
618C23—441no—
619C23—441no—
620C23—441no—
621C23—441no—
622C23C22×C22⋊D1111yescharacteristic
623D4—22no—
624D4—22no—
625D4—22no—
626D4—222no—
627D4—222no—
628D4—441no—
629D4—441no—
630D4—441no—
631D4—441no—
632D4—441no—
633D4—441no—
634D4—884no—
635D4—884no—
636D4#6694714yescomplemented
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—48no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—84no—
664C2×C4—84no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4—441no—
668C2×C4—441no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4—884no—
672C2×C4#6698512yes—
673C2×C4#6700212yes—
674C2×C4C2×#433911yescharacteristic
675C2×C4C2×#433911yescharacteristic
676C2×C4C2×D4×D1111yescharacteristic
677C2×C4#6703711yescharacteristic
678C2×C4C2×#434311yescharacteristic
679C2×C4#6704011yescharacteristic
680C8—222no—
681C8—441no—
682C8—441no—
683C8—441no—
684C22—24no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—442no—
692C22—442no—
693C22—442no—
694C22—881no—
695C22—881no—
696C22—881no—
697C22—881no—
698C22—881no—
699C22—881no—
700C22—881no—
701C22—881no—
702C22—881no—
703C22—881no—
704C22—881no—
705C22#1062332211yescharacteristic
706C22C2×#6698511yescharacteristic
707C22D4×C22⋊D1111yescharacteristic
708C22#1062334811yescharacteristic
709C22C2×#6700211yescharacteristic
710C22#1062336611yescharacteristic
711C22#1062336811yescharacteristic
712C4—22no—
713C4—22no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—41no—
718C4—42no—
719C4—81no—
720C4—81no—
721C4—881no—
722C4—881no—
723C4C2×#6694711yescharacteristic
724C4#1062303811yescharacteristic
725C4#1062304511yescharacteristic
726C4#1062304611yescharacteristic
727C2—44no—
728C2—882no—
729C2—1761no—
730C2#1307235111yescharacteristic
731C2#1307870711yescharacteristic
732C2#1307881511yescharacteristic
733C2#1308009211yescharacteristic
734C2#1308021611yescharacteristic
735C2#1308132311yescharacteristic
736C2#1308140811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingD4×C11×C4⋊C4C2
socleC23×C11C22×D4
prime radicalC2×#10622628C2
hypercenterD4×C4⋊C4D11
hypocenterC11#26174
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#10622627C2semidirect
3. #13072381C2semidirect
4. #13070150C2semidirect
5. #13070117C2semidirect
6. #13070020C2semidirect
7. #13069850C2semidirect
8. #13069312C2semidirect
9. #13069182C2semidirect
10. #13068964C2semidirect
11. #13068964C2semidirect
12. #13068964C2semidirect
13. #13068877C2semidirect
14. #13068876C2semidirect
15. D4×C11×C4⋊C4C2semidirect
236. D4×C4⋊C4D11semidirect
273. D4×C11#123semidirect
600. C11#26174semidirect
636. D4#66947semidirect

Maximal subgroups

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

subgroupindex
C2×#106226282
C2×#106226272
#130723812
#130701502
#130701172
#130700202
#130698502
#130693122
#130691822
#130689642
#130688772
#130688762
D4×C11×C4⋊C42
#2617411