Finite Group Databasebeta

← #14681174

Subgroups — #14681174

Order 2816.

2854 conjugacy classes of subgroups.

The subgroup lattice has 1364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622558C211yesmaximal, characteristic, complemented
2C2×#10622557C211yesmaximal, characteristic, complemented
3C2×#10622860C211yesmaximal, characteristic
4C2×#10622860C211yesmaximal, characteristic
5#13066863C211yesmaximal, characteristic, complemented
6#13066863C211yesmaximal, characteristic, complemented
7#13066859C211yesmaximal, characteristic, complemented
8#13066859C211yesmaximal, characteristic, complemented
9#13066859C211yesmaximal, characteristic, complemented
10#13066859C211yesmaximal, characteristic, complemented
11#13066853C211yesmaximal, characteristic, complemented
12#13066853C211yesmaximal, characteristic, complemented
13#13066853C211yesmaximal, characteristic, complemented
14#13066853C211yesmaximal, characteristic, complemented
15C2×C11×#379C211yesmaximal, characteristic
16C26×C11C2211yescharacteristic
17C22×C11×C22⋊C4C2211yescharacteristic
18C22×C11×C22⋊C4C2211yescharacteristic
19C22×C11×C22⋊C4C2211yescharacteristic
20C22×C11×C22⋊C4C2211yescharacteristic
21C22×C11×C22⋊C4C2211yescharacteristic
22C22×C11×C22⋊C4C2211yescharacteristic
23C22×C22⋊Dic11C2211yescharacteristic
24C22×C22⋊Dic11C2211yescharacteristic
25C22×C22⋊Dic11C2211yescharacteristic
26C22×C22⋊Dic11C2211yescharacteristic
27C22×C22⋊Dic11C2211yescharacteristic
28C22×C22⋊Dic11C2211yescharacteristic
29C22×C22⋊Dic11C2211yescharacteristic
30C22×C22⋊Dic11C2211yescharacteristic
31C22×C22⋊Dic11C2211yescharacteristic
32C22×C22⋊Dic11C2211yescharacteristic
33C22×C22⋊Dic11C2211yescharacteristic
34C22×C22⋊Dic11C2211yescharacteristic
35C22×Dic11⋊C4C2211yescharacteristic, complemented
36C22×Dic11⋊C4C2211yescharacteristic, complemented
37C22×C4×Dic11C2211yescharacteristic, complemented
38C22×C4×Dic11C2211yescharacteristic, complemented
39C11×#379—24no—
40#10622860—24no—
41#10622860C418yescomplemented
42C2×C11⋊#95C2211yescharacteristic, complemented
43C2×C11⋊#95C2211yescharacteristic, complemented
44C2×C11⋊#95C2211yescharacteristic, complemented
45C2×C11⋊#95C2211yescharacteristic, complemented
46C2×C11⋊#95C2211yescharacteristic, complemented
47C2×C11⋊#95C2211yescharacteristic, complemented
48C2×C11⋊#95C2211yescharacteristic, complemented
49C2×C11⋊#95C2211yescharacteristic, complemented
50C2×C11⋊#95C2211yescharacteristic, complemented
51C2×C11⋊#95C2211yescharacteristic, complemented
52C2×C11⋊#95C2211yescharacteristic, complemented
53C2×C11⋊#95C2211yescharacteristic, complemented
54#10622558—24no—
55#10622557—24no—
56C25×C11—22no—
57C25×C11—22no—
58C25×C11—22no—
59C25×C11—22no—
60C25×C11—22no—
61C25×C11—22no—
62C25×C11—41no—
63C25×C11—41no—
64C25×C11—41no—
65C25×C11—41no—
66C25×C11—41no—
67C25×C11—41no—
68C25×C11—41no—
69C25×C11—41no—
70C25×C11C2×C414yes—
71C25×C11C2311yescharacteristic
72C25×C11C2311yescharacteristic
73C25×C11C2311yescharacteristic
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2311yescharacteristic
76C23×C4×C11C2311yescharacteristic
77C23×C4×C11C2311yescharacteristic
78C23×Dic11C2311yescharacteristic
79C23×Dic11C2311yescharacteristic
80C23×Dic11C2311yescharacteristic
81C23×Dic11C2311yescharacteristic
82C23×Dic11C2311yescharacteristic
83C23×Dic11C2311yescharacteristic
84C23×Dic11C2311yescharacteristic
85C23×Dic11C2311yescharacteristic
86C2×C11×C22⋊C4—22no—
87C2×C11×C22⋊C4—22no—
88C2×C11×C22⋊C4—22no—
89C2×C11×C22⋊C4—22no—
90C2×C11×C22⋊C4—22no—
91C2×C11×C22⋊C4—22no—
92C2×C11×C22⋊C4—22no—
93C2×C11×C22⋊C4—22no—
94C2×C11×C22⋊C4—22no—
95C2×C11×C22⋊C4—41no—
96C2×C11×C22⋊C4—41no—
97C2×C11×C22⋊C4—41no—
98C2×C11×C22⋊C4—41no—
99C2×C11×C22⋊C4—41no—
100C2×C11×C22⋊C4—41no—
101C2×C11×C22⋊C4—41no—
102C2×C11×C22⋊C4—41no—
103C2×C11×C22⋊C4D414yes—
104C2×C22⋊Dic11—22no—
105C2×C22⋊Dic11—22no—
106C2×C22⋊Dic11—22no—
107C2×C22⋊Dic11—22no—
108C2×C22⋊Dic11—22no—
109C2×C22⋊Dic11—22no—
110C2×C22⋊Dic11—22no—
111C2×C22⋊Dic11—22no—
112C2×C22⋊Dic11—22no—
113C2×C22⋊Dic11—22no—
114C2×C22⋊Dic11—22no—
115C2×C22⋊Dic11—22no—
116C2×C22⋊Dic11—22no—
117C2×C22⋊Dic11—41no—
118C2×C22⋊Dic11—41no—
119C2×C22⋊Dic11—41no—
120C2×C22⋊Dic11—41no—
121C2×C22⋊Dic11—41no—
122C2×C22⋊Dic11—41no—
123C2×C22⋊Dic11—41no—
124C2×C22⋊Dic11—41no—
125C2×C22⋊Dic11—41no—
126C2×C22⋊Dic11—41no—
127C2×C22⋊Dic11—41no—
128C2×C22⋊Dic11—41no—
129C2×C22⋊Dic11—41no—
130C2×C22⋊Dic11—41no—
131C2×C22⋊Dic11—41no—
132C2×C22⋊Dic11—41no—
133C2×C22⋊Dic11C2×C414yes—
134C2×C22⋊Dic11C2×C414yes—
135C2×C22⋊Dic11C2×C414yes—
136C2×C22⋊Dic11C2×C414yes—
137C2×C22⋊Dic11C2×C414yes—
138C2×C22⋊Dic11C2×C414yes—
139C2×C22⋊Dic11D414yes—
140C2×Dic11⋊C4—22no—
141C2×Dic11⋊C4—22no—
142C2×Dic11⋊C4—41no—
143C2×Dic11⋊C4—41no—
144C2×Dic11⋊C4—41no—
145C2×Dic11⋊C4—41no—
146C2×C4×Dic11—22no—
147C2×C4×Dic11—22no—
148C2×C4×Dic11—41no—
149C2×C4×Dic11—41no—
150C2×C4×Dic11—41no—
151C2×C4×Dic11—41no—
152C11⋊#95—22no—
153C11⋊#95—22no—
154C11⋊#95—22no—
155C11⋊#95—22no—
156C11⋊#95—41no—
157C11⋊#95—41no—
158C11⋊#95—41no—
159C11⋊#95—41no—
160C11⋊#95—41no—
161C11⋊#95—41no—
162C11⋊#95—41no—
163C11⋊#95—41no—
164#14366—111nomaximal, Sylow
165C24×C11—21no—
166C24×C11—21no—
167C24×C11—21no—
168C24×C11—21no—
169C24×C11—21no—
170C24×C11—21no—
171C24×C11—21no—
172C24×C11—21no—
173C24×C11—21no—
174C24×C11—21no—
175C24×C11—21no—
176C24×C11—21no—
177C24×C11—21no—
178C24×C11—21no—
179C24×C11—21no—
180C24×C11—21no—
181C24×C11—21no—
182C24×C11—21no—
183C24×C11—21no—
184C24×C11—21no—
185C24×C11—21no—
186C24×C11—21no—
187C24×C11—21no—
188C24×C11—21no—
189C24×C11—21no—
190C24×C11—21no—
191C24×C11—21no—
192C24×C11—21no—
193C24×C11—21no—
194C24×C11—21no—
195C24×C11—21no—
196C24×C11—21no—
197C24×C11—21no—
198C24×C11—21no—
199C24×C11—21no—
200C24×C11—21no—
201C24×C11—28no—
202C24×C11—28no—
203C24×C11—28no—
204C24×C11—44no—
205C24×C11—44no—
206C24×C11—44no—
207C24×C11—44no—
208C24×C11—44no—
209C24×C11—44no—
210C24×C11—44no—
211C24×C11—44no—
212C24×C11—44no—
213C24×C11—44no—
214C24×C11—44no—
215C24×C11—44no—
216C24×C11—44no—
217C24×C11—44no—
218C24×C11—44no—
219C24×C11—44no—
220C24×C11—44no—
221C24×C11—44no—
222C24×C11—44no—
223C24×C11—44no—
224C24×C11—44no—
225C24×C11—44no—
226C24×C11—44no—
227C24×C11—44no—
228C24×C11—44no—
229C24×C11—44no—
230C24×C11—44no—
231C24×C11—44no—
232C24×C11—44no—
233C24×C11—44no—
234C24×C11—44no—
235C24×C11—44no—
236C24×C11C22×C412yes—
237C24×C11C22×C412yes—
238C24×C11C22×C412yes—
239C24×C11C2×D412yes—
240C24×C11C2×D412yes—
241C24×C11#4112yes—
242C24×C11#4112yes—
243C24×C11#4112yes—
244C24×C11#4112yes—
245C24×C11C2411yescharacteristic
246C22×C4×C11—21no—
247C22×C4×C11—21no—
248C22×C4×C11—21no—
249C22×C4×C11—21no—
250C22×C4×C11—21no—
251C22×C4×C11—21no—
252C22×C4×C11—21no—
253C22×C4×C11—21no—
254C22×C4×C11—21no—
255C22×C4×C11—21no—
256C22×C4×C11—21no—
257C22×C4×C11—21no—
258C22×C4×C11—21no—
259C22×C4×C11—21no—
260C22×C4×C11—21no—
261C22×C4×C11—21no—
262C22×C4×C11—21no—
263C22×C4×C11—21no—
264C22×C4×C11—21no—
265C22×C4×C11—21no—
266C22×C4×C11—21no—
267C22×C4×C11—21no—
268C22×C4×C11—21no—
269C22×C4×C11—21no—
270C22×C4×C11—21no—
271C22×C4×C11—21no—
272C22×C4×C11C2×D412yes—
273C22×C4×C11C2×D412yes—
274C22×Dic11—21no—
275C22×Dic11—21no—
276C22×Dic11—21no—
277C22×Dic11—21no—
278C22×Dic11—21no—
279C22×Dic11—21no—
280C22×Dic11—21no—
281C22×Dic11—21no—
282C22×Dic11—21no—
283C22×Dic11—21no—
284C22×Dic11—21no—
285C22×Dic11—21no—
286C22×Dic11—21no—
287C22×Dic11—21no—
288C22×Dic11—21no—
289C22×Dic11—21no—
290C22×Dic11—21no—
291C22×Dic11—21no—
292C22×Dic11—21no—
293C22×Dic11—21no—
294C22×Dic11—21no—
295C22×Dic11—21no—
296C22×Dic11—21no—
297C22×Dic11—21no—
298C22×Dic11—21no—
299C22×Dic11—21no—
300C22×Dic11—21no—
301C22×Dic11—21no—
302C22×Dic11—21no—
303C22×Dic11—21no—
304C22×Dic11—21no—
305C22×Dic11—21no—
306C22×Dic11—21no—
307C22×Dic11—21no—
308C22×Dic11—21no—
309C22×Dic11—21no—
310C22×Dic11—21no—
311C22×Dic11—21no—
312C22×Dic11—21no—
313C22×Dic11—21no—
314C22×Dic11—21no—
315C22×Dic11—21no—
316C22×Dic11—21no—
317C22×Dic11—21no—
318C22×Dic11—21no—
319C22×Dic11—21no—
320C22×Dic11—21no—
321C22×Dic11—21no—
322C22×Dic11—21no—
323C22×Dic11—21no—
324C22×Dic11C22×C412yes—
325C22×Dic11C22×C412yes—
326C22×Dic11C22×C412yes—
327C22×Dic11C22×C412yes—
328C22×Dic11C2×D412yes—
329C22×Dic11C2×D412yes—
330C11×C22⋊C4—44no—
331C11×C22⋊C4—44no—
332C11×C22⋊C4—44no—
333C11×C22⋊C4—44no—
334C11×C22⋊C4—44no—
335C11×C22⋊C4—44no—
336C22⋊Dic11—28no—
337C22⋊Dic11—28no—
338C22⋊Dic11—44no—
339C22⋊Dic11—44no—
340C22⋊Dic11—44no—
341C22⋊Dic11—44no—
342C22⋊Dic11—44no—
343C22⋊Dic11—44no—
344C22⋊Dic11—44no—
345C22⋊Dic11—44no—
346C22⋊Dic11—44no—
347C22⋊Dic11—44no—
348Dic11⋊C4—44no—
349Dic11⋊C4—44no—
350C4×Dic11—44no—
351C4×Dic11—44no—
352C2×#388—111no—
353C2×#388—111no—
354C2×#379—111no—
355C2×#379—111no—
356C2×#379D1111yescharacteristic
357#1440—111no—
358#1440—111no—
359#1439—111no—
360#1439—111no—
361#1439—111no—
362#1439—111no—
363#1437—111no—
364#1437—111no—
365#1437—111no—
366#1437—111no—
367C23×C11—22no—
368C23×C11—22no—
369C23×C11—22no—
370C23×C11—22no—
371C23×C11—22no—
372C23×C11—22no—
373C23×C11—22no—
374C23×C11—22no—
375C23×C11—22no—
376C23×C11—22no—
377C23×C11—22no—
378C23×C11—22no—
379C23×C11—22no—
380C23×C11—22no—
381C23×C11—22no—
382C23×C11—22no—
383C23×C11—22no—
384C23×C11—22no—
385C23×C11—22no—
386C23×C11—22no—
387C23×C11—22no—
388C23×C11—22no—
389C23×C11—22no—
390C23×C11—22no—
391C23×C11—22no—
392C23×C11—22no—
393C23×C11—22no—
394C23×C11—22no—
395C23×C11—22no—
396C23×C11—22no—
397C23×C11—22no—
398C23×C11—22no—
399C23×C11—22no—
400C23×C11—22no—
401C23×C11—22no—
402C23×C11—22no—
403C23×C11—22no—
404C23×C11—22no—
405C23×C11—22no—
406C23×C11—22no—
407C23×C11—22no—
408C23×C11—22no—
409C23×C11—22no—
410C23×C11—22no—
411C23×C11—22no—
412C23×C11—22no—
413C23×C11—22no—
414C23×C11—22no—
415C23×C11—22no—
416C23×C11—22no—
417C23×C11—22no—
418C23×C11—22no—
419C23×C11—22no—
420C23×C11—22no—
421C23×C11—416no—
422C23×C11—416no—
423C23×C11—416no—
424C23×C11—416no—
425C23×C11—416no—
426C23×C11—416no—
427C23×C11—416no—
428C23×C11—416no—
429C23×C11—416no—
430C23×C11—416no—
431C23×C11—416no—
432C23×C11—416no—
433C23×C11—416no—
434C23×C11—416no—
435C23×C11—416no—
436C23×C11—41no—
437C23×C11—41no—
438C23×C11—41no—
439C23×C11—41no—
440C23×C11—41no—
441C23×C11—41no—
442C23×C11—41no—
443C23×C11—41no—
444C23×C11—41no—
445C23×C11—41no—
446C23×C11—41no—
447C23×C11—41no—
448C23×C11—41no—
449C23×C11—41no—
450C23×C11—41no—
451C23×C11—41no—
452C23×C11—41no—
453C23×C11—41no—
454C23×C11—41no—
455C23×C11—41no—
456C23×C11—41no—
457C23×C11—41no—
458C23×C11—41no—
459C23×C11—41no—
460C23×C11—41no—
461C23×C11—41no—
462C23×C11—41no—
463C23×C11—41no—
464C23×C11—41no—
465C23×C11—41no—
466C23×C11—41no—
467C23×C11—41no—
468C23×C11—41no—
469C23×C11—41no—
470C23×C11—41no—
471C23×C11—41no—
472C23×C11—41no—
473C23×C11—41no—
474C23×C11—41no—
475C23×C11—41no—
476C23×C11—41no—
477C23×C11—41no—
478C23×C11—41no—
479C23×C11—41no—
480C23×C11—41no—
481C23×C11—41no—
482C23×C11—41no—
483C23×C11—41no—
484C23×C11#11714yes—
485C23×C11C4×D414yes—
486C23×C11C4×D414yes—
487C23×C11C23×C411yescharacteristic
488C23×C11C22×D411yescharacteristic
489C23×C11C22×D411yescharacteristic
490C23×C11C2×#4111yescharacteristic
491C23×C11C2×#4111yescharacteristic
492C23×C11C2×#4111yescharacteristic
493C23×C11C2×#4111yescharacteristic
494C23×C11H(5,𝔽2)11yescharacteristic
495C23×C11H(5,𝔽2)11yescharacteristic
496C23×C11H(5,𝔽2)11yescharacteristic
497C23×C11H(5,𝔽2)11yescharacteristic
498C23×C11H(5,𝔽2)11yescharacteristic
499C23×C11H(5,𝔽2)11yescharacteristic
500C23×C11H(5,𝔽2)11yescharacteristic
501C23×C11H(5,𝔽2)11yescharacteristic
502C2×C4×C11—22no—
503C2×C4×C11—22no—
504C2×C4×C11—22no—
505C2×C4×C11—22no—
506C2×C4×C11—22no—
507C2×C4×C11—22no—
508C2×C4×C11—41no—
509C2×C4×C11—41no—
510C2×C4×C11—41no—
511C2×C4×C11—41no—
512C2×C4×C11—41no—
513C2×C4×C11—41no—
514C2×C4×C11—41no—
515C2×C4×C11—41no—
516C2×C4×C11—41no—
517C2×C4×C11—41no—
518C2×C4×C11—41no—
519C2×C4×C11—41no—
520C2×C4×C11—41no—
521C2×C4×C11—41no—
522C2×C4×C11—41no—
523C2×C4×C11—41no—
524C2×C4×C11—41no—
525C2×C4×C11—41no—
526C2×C4×C11—41no—
527C2×C4×C11—41no—
528C2×C4×C11—41no—
529C2×C4×C11—41no—
530C2×Dic11—22no—
531C2×Dic11—22no—
532C2×Dic11—22no—
533C2×Dic11—22no—
534C2×Dic11—22no—
535C2×Dic11—22no—
536C2×Dic11—22no—
537C2×Dic11—22no—
538C2×Dic11—22no—
539C2×Dic11—22no—
540C2×Dic11—22no—
541C2×Dic11—22no—
542C2×Dic11—22no—
543C2×Dic11—22no—
544C2×Dic11—22no—
545C2×Dic11—22no—
546C2×Dic11—22no—
547C2×Dic11—22no—
548C2×Dic11—41no—
549C2×Dic11—41no—
550C2×Dic11—41no—
551C2×Dic11—41no—
552C2×Dic11—41no—
553C2×Dic11—41no—
554C2×Dic11—41no—
555C2×Dic11—41no—
556C2×Dic11—41no—
557C2×Dic11—41no—
558C2×Dic11—41no—
559C2×Dic11—41no—
560C2×Dic11—41no—
561C2×Dic11—41no—
562C2×Dic11—41no—
563C2×Dic11—41no—
564C2×Dic11—41no—
565C2×Dic11—41no—
566C2×Dic11—41no—
567C2×Dic11—41no—
568C2×Dic11—41no—
569C2×Dic11—41no—
570C2×Dic11—41no—
571C2×Dic11—41no—
572C2×Dic11—41no—
573C2×Dic11—41no—
574C2×Dic11—41no—
575C2×Dic11—41no—
576C2×Dic11—41no—
577C2×Dic11—41no—
578C2×Dic11—41no—
579C2×Dic11—41no—
580C2×Dic11—41no—
581C2×Dic11—41no—
582C2×Dic11—41no—
583C2×Dic11—41no—
584C2×Dic11—41no—
585C2×Dic11—41no—
586C26C2×D1111yescharacteristic
587C22×C4⋊C4—111no—
588C22×C4⋊C4—111no—
589C22×C22⋊C4—111no—
590C22×C22⋊C4—111no—
591C22×C22⋊C4—111no—
592C22×C22⋊C4—111no—
593C22×C22⋊C4—111no—
594C22×C22⋊C4—111no—
595C22×C22⋊C4—111no—
596C22×C22⋊C4—111no—
597C22×C22⋊C4—111no—
598C22×C22⋊C4—111no—
599C22×C22⋊C4—111no—
600C22×C22⋊C4—111no—
601C22×C22⋊C4C2×D1111yescharacteristic
602C22×C22⋊C4C2×D1111yescharacteristic
603C22×C22⋊C4C2×D1111yescharacteristic
604C22×C22⋊C4C2×D1111yescharacteristic
605C22×C22⋊C4C2×D1111yescharacteristic
606C22×C22⋊C4C2×D1111yescharacteristic
607C22×C42—111no—
608C22×C42—111no—
609#388—224no—
610#388—224no—
611#379—24no—
612#379—118no—
613#379—224no—
614C2×#95—111no—
615C2×#95—111no—
616C2×#95—111no—
617C2×#95—111no—
618C2×#95—111no—
619C2×#95—111no—
620C2×#95—111no—
621C2×#95—111no—
622C2×#95—111no—
623C2×#95—111no—
624C2×#95—111no—
625C2×#95—111no—
626C22×C11—24no—
627C22×C11—24no—
628C22×C11—24no—
629C22×C11—24no—
630C22×C11—24no—
631C22×C11—24no—
632C22×C11—24no—
633C22×C11—24no—
634C22×C11—24no—
635C22×C11—464no—
636C22×C11—42no—
637C22×C11—42no—
638C22×C11—42no—
639C22×C11—42no—
640C22×C11—42no—
641C22×C11—42no—
642C22×C11—42no—
643C22×C11—42no—
644C22×C11—42no—
645C22×C11—42no—
646C22×C11—42no—
647C22×C11—42no—
648C22×C11—42no—
649C22×C11—42no—
650C22×C11—42no—
651C22×C11—42no—
652C22×C11—42no—
653C22×C11—42no—
654C22×C11—42no—
655C22×C11—42no—
656C22×C11—42no—
657C22×C11—42no—
658C22×C11—42no—
659C22×C11—42no—
660C22×C11—42no—
661C22×C11—42no—
662C22×C11—42no—
663C22×C11—42no—
664C22×C11—42no—
665C22×C11—42no—
666C22×C11—42no—
667C22×C11—42no—
668C22×C11—42no—
669C22×C11—42no—
670C22×C11—42no—
671C22×C11—42no—
672C22×C11C2×#11711yescharacteristic
673C22×C11C2×C4×D411yescharacteristic
674C22×C11C2×C4×D411yescharacteristic
675C22×C11#51811yescharacteristic
676C22×C11#51811yescharacteristic
677C22×C11#51811yescharacteristic
678C22×C11#51811yescharacteristic
679C22×C11#53411yescharacteristic
680C22×C11#53411yescharacteristic
681C22×C11#53511yescharacteristic
682C22×C11#53511yescharacteristic
683C22×C11#53811yescharacteristic
684C22×C11#53811yescharacteristic
685C22×C11#53811yescharacteristic
686C22×C11#53811yescharacteristic
687C22×C11#53811yescharacteristic
688C22×C11#53811yescharacteristic
689C22×C11#53811yescharacteristic
690C22×C11#53811yescharacteristic
691C22×C11D4211yescharacteristic
692C22×C11#54611yescharacteristic
693C22×C11#54611yescharacteristic
694C22×C11#54611yescharacteristic
695C22×C11#54611yescharacteristic
696C22×C11#54611yescharacteristic
697C22×C11#54611yescharacteristic
698C22×C11#55111yescharacteristic
699C22×C11#55111yescharacteristic
700C22×C11#55111yescharacteristic
701C22×C11#55111yescharacteristic
702C22×C11#55111yescharacteristic
703C22×C11#56011yescharacteristic
704C22×C11#56011yescharacteristic
705C22×C11#56011yescharacteristic
706C22×C11H(3,𝔽4)11yescharacteristic
707C4×C11—42no—
708C4×C11—42no—
709C4×C11—81no—
710C4×C11—81no—
711Dic11—42no—
712Dic11—42no—
713Dic11—42no—
714Dic11—42no—
715Dic11—42no—
716Dic11—42no—
717Dic11—81no—
718Dic11—81no—
719C25—22no—
720C25—22no—
721C25—22no—
722C25—22no—
723C25—22no—
724C25—22no—
725C25—41no—
726C25—41no—
727C25—41no—
728C25—41no—
729C25—41no—
730C25—41no—
731C25—41no—
732C25—41no—
733C25C4×D1114yes—
734C25C22×D1111yescharacteristic
735C25C22×D1111yescharacteristic
736C25C22×D1111yescharacteristic
737C23×C4—111no—
738C23×C4—111no—
739C23×C4—111no—
740C23×C4—111no—
741C23×C4—111no—
742C23×C4—111no—
743C23×C4—111no—
744C23×C4—111no—
745C23×C4C22×D1111yescharacteristic
746C23×C4C22×D1111yescharacteristic
747C23×C4C22×D1111yescharacteristic
748C23×C4C22×D1111yescharacteristic
749C2×C4⋊C4—222no—
750C2×C4⋊C4—222no—
751C2×C4⋊C4—441no—
752C2×C4⋊C4—441no—
753C2×C4⋊C4—441no—
754C2×C4⋊C4—441no—
755C2×C22⋊C4—22no—
756C2×C22⋊C4—22no—
757C2×C22⋊C4—22no—
758C2×C22⋊C4—22no—
759C2×C22⋊C4—22no—
760C2×C22⋊C4—22no—
761C2×C22⋊C4—22no—
762C2×C22⋊C4—22no—
763C2×C22⋊C4—22no—
764C2×C22⋊C4—41no—
765C2×C22⋊C4—41no—
766C2×C22⋊C4—41no—
767C2×C22⋊C4—41no—
768C2×C22⋊C4—41no—
769C2×C22⋊C4—41no—
770C2×C22⋊C4—41no—
771C2×C22⋊C4—41no—
772C2×C22⋊C4—114no—
773C2×C22⋊C4—114no—
774C2×C22⋊C4—114no—
775C2×C22⋊C4—114no—
776C2×C22⋊C4—114no—
777C2×C22⋊C4—114no—
778C2×C22⋊C4—114no—
779C2×C22⋊C4—222no—
780C2×C22⋊C4—222no—
781C2×C22⋊C4—222no—
782C2×C22⋊C4—222no—
783C2×C22⋊C4—222no—
784C2×C22⋊C4—222no—
785C2×C22⋊C4—222no—
786C2×C22⋊C4—222no—
787C2×C22⋊C4—222no—
788C2×C22⋊C4—222no—
789C2×C22⋊C4—222no—
790C2×C22⋊C4—222no—
791C2×C22⋊C4—222no—
792C2×C22⋊C4—441no—
793C2×C22⋊C4—441no—
794C2×C22⋊C4—441no—
795C2×C22⋊C4—441no—
796C2×C22⋊C4—441no—
797C2×C22⋊C4—441no—
798C2×C22⋊C4—441no—
799C2×C22⋊C4—441no—
800C2×C22⋊C4—441no—
801C2×C22⋊C4—441no—
802C2×C22⋊C4—441no—
803C2×C22⋊C4—441no—
804C2×C22⋊C4—441no—
805C2×C22⋊C4—441no—
806C2×C22⋊C4—441no—
807C2×C22⋊C4—441no—
808C2×C22⋊C4C22⋊D1114yes—
809C2×C42—222no—
810C2×C42—222no—
811C2×C42—441no—
812C2×C42—441no—
813C2×C42—441no—
814C2×C42—441no—
815#95—222no—
816#95—222no—
817#95—222no—
818#95—222no—
819#95—441no—
820#95—441no—
821#95—441no—
822#95—441no—
823#95—441no—
824#95—441no—
825#95—441no—
826#95—441no—
827C2×C11—44no—
828C2×C11—44no—
829C2×C11—44no—
830C2×C11#231211yescharacteristic
831C2×C11#232111yescharacteristic
832C2×C11#232111yescharacteristic
833C2×C11#234211yescharacteristic
834C2×C11#234211yescharacteristic
835C2×C11#235811yescharacteristic
836C2×C11#237511yescharacteristic
837C2×C11#266811yescharacteristic
838C2×C11#267011yescharacteristic
839C2×C11#268511yescharacteristic
840C2×C11#268511yescharacteristic
841C2×C11#269711yescharacteristic
842C2×C11#269711yescharacteristic
843C2×C11#273511yescharacteristic
844C2×C11#273611yescharacteristic
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—21no—
879C24—21no—
880C24—21no—
881C24—28no—
882C24—28no—
883C24—28no—
884C24—44no—
885C24—44no—
886C24—44no—
887C24—44no—
888C24—44no—
889C24—44no—
890C24—44no—
891C24—44no—
892C24—44no—
893C24—44no—
894C24—44no—
895C24—44no—
896C24—44no—
897C24—44no—
898C24—44no—
899C24—44no—
900C24—44no—
901C24—44no—
902C24—44no—
903C24—44no—
904C24—44no—
905C24—44no—
906C24—44no—
907C24—44no—
908C24—44no—
909C24—44no—
910C24—44no—
911C24—44no—
912C24—44no—
913C24—44no—
914C24—44no—
915C24—44no—
916C24C2×C4×D1112yes—
917C24C2×C4×D1112yes—
918C24C2×C4×D1112yes—
919C24#433912yes—
920C24D4×D1112yes—
921C24#434112yes—
922C24#434112yes—
923C24#434112yes—
924C24C2×C22⋊D1112yes—
925C24C23×D1111yescharacteristic
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—112no—
953C22×C4—112no—
954C22×C4—112no—
955C22×C4—112no—
956C22×C4—112no—
957C22×C4—112no—
958C22×C4—221no—
959C22×C4—221no—
960C22×C4—221no—
961C22×C4—221no—
962C22×C4—221no—
963C22×C4—221no—
964C22×C4—221no—
965C22×C4—221no—
966C22×C4—221no—
967C22×C4—221no—
968C22×C4—221no—
969C22×C4—221no—
970C22×C4—221no—
971C22×C4—221no—
972C22×C4—221no—
973C22×C4—221no—
974C22×C4—221no—
975C22×C4—221no—
976C22×C4—221no—
977C22×C4—221no—
978C22×C4—221no—
979C22×C4—221no—
980C22×C4—221no—
981C22×C4—221no—
982C22×C4—221no—
983C22×C4—221no—
984C22×C4—221no—
985C22×C4—221no—
986C22×C4—221no—
987C22×C4—221no—
988C22×C4—221no—
989C22×C4—221no—
990C22×C4—221no—
991C22×C4—221no—
992C22×C4—221no—
993C22×C4—221no—
994C22×C4—221no—
995C22×C4—221no—
996C22×C4—221no—
997C22×C4—221no—
998C22×C4—221no—
999C22×C4—221no—
1000C22×C4—221no—
1001C22×C4—221no—
1002C22×C4—221no—
1003C22×C4—221no—
1004C22×C4—221no—
1005C22×C4—221no—
1006C22×C4—221no—
1007C22×C4—221no—
1008C22×C4C2×C22⋊D1112yes—
1009C22×C4C2×C22⋊D1112yes—
1010C4⋊C4—444no—
1011C4⋊C4—444no—
1012C22⋊C4—44no—
1013C22⋊C4—44no—
1014C22⋊C4—44no—
1015C22⋊C4—44no—
1016C22⋊C4—44no—
1017C22⋊C4—44no—
1018C22⋊C4—228no—
1019C22⋊C4—228no—
1020C22⋊C4—444no—
1021C22⋊C4—444no—
1022C22⋊C4—444no—
1023C22⋊C4—444no—
1024C22⋊C4—444no—
1025C22⋊C4—444no—
1026C22⋊C4—444no—
1027C22⋊C4—444no—
1028C22⋊C4—444no—
1029C22⋊C4—444no—
1030C42—444no—
1031C42—444no—
1032C11#1436611yescharacteristic, complemented, Sylow
1033C23—22no—
1034C23—22no—
1035C23—22no—
1036C23—22no—
1037C23—22no—
1038C23—22no—
1039C23—22no—
1040C23—22no—
1041C23—22no—
1042C23—22no—
1043C23—22no—
1044C23—22no—
1045C23—22no—
1046C23—22no—
1047C23—22no—
1048C23—22no—
1049C23—22no—
1050C23—22no—
1051C23—22no—
1052C23—22no—
1053C23—22no—
1054C23—22no—
1055C23—22no—
1056C23—22no—
1057C23—22no—
1058C23—22no—
1059C23—22no—
1060C23—22no—
1061C23—22no—
1062C23—22no—
1063C23—22no—
1064C23—22no—
1065C23—22no—
1066C23—22no—
1067C23—22no—
1068C23—22no—
1069C23—22no—
1070C23—22no—
1071C23—22no—
1072C23—22no—
1073C23—22no—
1074C23—22no—
1075C23—22no—
1076C23—22no—
1077C23—22no—
1078C23—22no—
1079C23—22no—
1080C23—22no—
1081C23—22no—
1082C23—22no—
1083C23—22no—
1084C23—22no—
1085C23—22no—
1086C23—22no—
1087C23—416no—
1088C23—416no—
1089C23—416no—
1090C23—416no—
1091C23—416no—
1092C23—416no—
1093C23—416no—
1094C23—416no—
1095C23—416no—
1096C23—416no—
1097C23—416no—
1098C23—416no—
1099C23—416no—
1100C23—416no—
1101C23—416no—
1102C23—41no—
1103C23—41no—
1104C23—41no—
1105C23—41no—
1106C23—41no—
1107C23—41no—
1108C23—41no—
1109C23—41no—
1110C23—41no—
1111C23—41no—
1112C23—41no—
1113C23—41no—
1114C23—41no—
1115C23—41no—
1116C23—41no—
1117C23—41no—
1118C23—41no—
1119C23—41no—
1120C23—41no—
1121C23—41no—
1122C23—41no—
1123C23—41no—
1124C23—41no—
1125C23—41no—
1126C23—41no—
1127C23—41no—
1128C23—41no—
1129C23—41no—
1130C23—41no—
1131C23—41no—
1132C23—41no—
1133C23—41no—
1134C23—41no—
1135C23—41no—
1136C23—41no—
1137C23—41no—
1138C23—41no—
1139C23—41no—
1140C23—41no—
1141C23—41no—
1142C23—41no—
1143C23—41no—
1144C23—41no—
1145C23—41no—
1146C23—41no—
1147C23—41no—
1148C23—41no—
1149C23—41no—
1150C23#6693014yes—
1151C23(C22⋊D11)⋊C414yes—
1152C23C4×C22⋊D1114yes—
1153C23C22×C4×D1111yescharacteristic
1154C23C2×#433911yescharacteristic
1155C23C2×D4×D1111yescharacteristic
1156C23C2×#434111yescharacteristic
1157C23C2×#434111yescharacteristic
1158C23C2×#434111yescharacteristic
1159C23#6703711yescharacteristic
1160C23#6703711yescharacteristic
1161C23#6703711yescharacteristic
1162C23#6703711yescharacteristic
1163C23#6703711yescharacteristic
1164C23#6703711yescharacteristic
1165C23#6703711yescharacteristic
1166C23#6703711yescharacteristic
1167C23C22×C22⋊D1111yescharacteristic
1168C2×C4—22no—
1169C2×C4—22no—
1170C2×C4—22no—
1171C2×C4—22no—
1172C2×C4—22no—
1173C2×C4—22no—
1174C2×C4—41no—
1175C2×C4—41no—
1176C2×C4—41no—
1177C2×C4—41no—
1178C2×C4—41no—
1179C2×C4—41no—
1180C2×C4—41no—
1181C2×C4—41no—
1182C2×C4—41no—
1183C2×C4—41no—
1184C2×C4—41no—
1185C2×C4—41no—
1186C2×C4—41no—
1187C2×C4—41no—
1188C2×C4—41no—
1189C2×C4—41no—
1190C2×C4—41no—
1191C2×C4—41no—
1192C2×C4—41no—
1193C2×C4—41no—
1194C2×C4—41no—
1195C2×C4—41no—
1196C2×C4—222no—
1197C2×C4—222no—
1198C2×C4—222no—
1199C2×C4—222no—
1200C2×C4—222no—
1201C2×C4—222no—
1202C2×C4—222no—
1203C2×C4—222no—
1204C2×C4—222no—
1205C2×C4—222no—
1206C2×C4—222no—
1207C2×C4—222no—
1208C2×C4—222no—
1209C2×C4—222no—
1210C2×C4—222no—
1211C2×C4—222no—
1212C2×C4—222no—
1213C2×C4—222no—
1214C2×C4—441no—
1215C2×C4—441no—
1216C2×C4—441no—
1217C2×C4—441no—
1218C2×C4—441no—
1219C2×C4—441no—
1220C2×C4—441no—
1221C2×C4—441no—
1222C2×C4—441no—
1223C2×C4—441no—
1224C2×C4—441no—
1225C2×C4—441no—
1226C2×C4—441no—
1227C2×C4—441no—
1228C2×C4—441no—
1229C2×C4—441no—
1230C2×C4—441no—
1231C2×C4—441no—
1232C2×C4—441no—
1233C2×C4—441no—
1234C2×C4—441no—
1235C2×C4—441no—
1236C2×C4—441no—
1237C2×C4—441no—
1238C2×C4—441no—
1239C2×C4—441no—
1240C2×C4—441no—
1241C2×C4—441no—
1242C2×C4—441no—
1243C2×C4—441no—
1244C2×C4—441no—
1245C2×C4—441no—
1246C2×C4—441no—
1247C2×C4—441no—
1248C2×C4—441no—
1249C2×C4—441no—
1250C2×C4—441no—
1251C2×C4—441no—
1252C22—24no—
1253C22—24no—
1254C22—24no—
1255C22—24no—
1256C22—24no—
1257C22—24no—
1258C22—24no—
1259C22—24no—
1260C22—24no—
1261C22—464no—
1262C22—42no—
1263C22—42no—
1264C22—42no—
1265C22—42no—
1266C22—42no—
1267C22—42no—
1268C22—42no—
1269C22—42no—
1270C22—42no—
1271C22—42no—
1272C22—42no—
1273C22—42no—
1274C22—42no—
1275C22—42no—
1276C22—42no—
1277C22—42no—
1278C22—42no—
1279C22—42no—
1280C22—42no—
1281C22—42no—
1282C22—42no—
1283C22—42no—
1284C22—42no—
1285C22—42no—
1286C22—42no—
1287C22—42no—
1288C22—42no—
1289C22—42no—
1290C22—42no—
1291C22—42no—
1292C22—42no—
1293C22—42no—
1294C22—42no—
1295C22—42no—
1296C22—42no—
1297C22—42no—
1298C22C2×#6693011yescharacteristic
1299C22C2×(C22⋊D11)⋊C411yescharacteristic
1300C22#1062301711yescharacteristic
1301C22#1062301711yescharacteristic
1302C22#1062301711yescharacteristic
1303C22#1062301711yescharacteristic
1304C22#1062302111yescharacteristic
1305C22#1062302511yescharacteristic
1306C22#1062302511yescharacteristic
1307C22#1062302611yescharacteristic
1308C22#1062302611yescharacteristic
1309C22#1062302611yescharacteristic
1310C22#1062311811yescharacteristic
1311C22#1062311811yescharacteristic
1312C22#1062312011yescharacteristic
1313C22#1062312211yescharacteristic
1314C22#1062312211yescharacteristic
1315C22#1062312311yescharacteristic
1316C22#1062312411yescharacteristic
1317C22#1062312411yescharacteristic
1318C22#1062312411yescharacteristic
1319C22#1062312411yescharacteristic
1320C22#1062312411yescharacteristic
1321C22#1062312411yescharacteristic
1322C22#1062312511yescharacteristic
1323C22#1062312611yescharacteristic
1324C22#1062312611yescharacteristic
1325C22#1062312611yescharacteristic
1326C22C2×C4×C22⋊D1111yescharacteristic
1327C22D4×C22⋊D1111yescharacteristic
1328C22#1062333511yescharacteristic
1329C22#1062333611yescharacteristic
1330C22#1062333711yescharacteristic
1331C22#1062333711yescharacteristic
1332C22#1062333711yescharacteristic
1333C4—42no—
1334C4—42no—
1335C4—81no—
1336C4—81no—
1337C4—442no—
1338C4—442no—
1339C4—442no—
1340C4—442no—
1341C4—442no—
1342C4—442no—
1343C4—881no—
1344C4—881no—
1345C2—44no—
1346C2—44no—
1347C2—44no—
1348C2#1307121211yescharacteristic
1349C2#1307127111yescharacteristic
1350C2#1307127411yescharacteristic
1351C2#1307146111yescharacteristic
1352C2#1307146711yescharacteristic
1353C2#1307159511yescharacteristic
1354C2#1307175511yescharacteristic
1355C2#1307482011yescharacteristic
1356C2#1307483811yescharacteristic
1357C2#1307500311yescharacteristic
1358C2#1307501111yescharacteristic
1359C2#1307517711yescharacteristic
1360C2#1307517911yescharacteristic
1361C2#1307565311yescharacteristic
1362C2#1307566211yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC2×C11×#379C2
socle, cosocleC24×C11C24
prime radicalC26×C11C22
hypercenterC2×#379D11
hypocenterC11#14366
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#379

Complements

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

NH ≅ G/Ntype
1. C2×#10622558C2semidirect
2. C2×#10622557C2semidirect
5. #13066863C2semidirect
6. #13066863C2semidirect
7. #13066859C2semidirect
8. #13066859C2semidirect
9. #13066859C2semidirect
10. #13066859C2semidirect
11. #13066853C2semidirect
12. #13066853C2semidirect
13. #13066853C2semidirect
14. #13066853C2semidirect
35. C22×Dic11⋊C4C22semidirect
36. C22×Dic11⋊C4C22semidirect
37. C22×C4×Dic11C22semidirect
38. C22×C4×Dic11C22semidirect
41. #10622860C4semidirect
42. C2×C11⋊#95C22semidirect
43. C2×C11⋊#95C22semidirect
44. C2×C11⋊#95C22semidirect
45. C2×C11⋊#95C22semidirect
46. C2×C11⋊#95C22semidirect
47. C2×C11⋊#95C22semidirect
48. C2×C11⋊#95C22semidirect
49. C2×C11⋊#95C22semidirect
50. C2×C11⋊#95C22semidirect
51. C2×C11⋊#95C22semidirect
52. C2×C11⋊#95C22semidirect
53. C2×C11⋊#95C22semidirect
1032. C11#14366semidirect

Maximal subgroups

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

subgroupindex
C2×#106225582
C2×#106225572
C2×#106228602
#130668632
#130668592
#130668532
C2×C11×#3792
#1436611