Finite Group Databasebeta

← C11×#22167 #14599360

Subgroups — C11×#22167 #14599360

Order 2816.

744 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3035C211yesmaximal, characteristic
2C11×#2932C211yesmaximal, characteristic, complemented
3C11×#2923C211yesmaximal, characteristic, complemented
4C11×#1980C211yesmaximal, characteristic, complemented
5C11×#1975C211yesmaximal, characteristic, complemented
6C11×#1974C211yesmaximal, characteristic, complemented
7C11×#1950C211yesmaximal, characteristic, complemented
8C11×#1938C211yesmaximal, characteristic, complemented
9C11×#1937C211yesmaximal, characteristic, complemented
10C11×#1876C211yesmaximal, characteristic, complemented
11C11×#1876C211yesmaximal, characteristic, complemented
12C11×#1866C211yesmaximal, characteristic, complemented
13C11×#1866C211yesmaximal, characteristic, complemented
14C11×#1806C211yesmaximal, characteristic, complemented
15C11×#1771C211yesmaximal, characteristic, complemented
16C2×C11×#135C2211yescharacteristic
17C2×C11×#135C2211yescharacteristic
18C2×C11×#131C2211yescharacteristic
19C2×C11×#131C2211yescharacteristic
20C11×#532C2211yescharacteristic
21C4×C11×#41C2211yescharacteristic
22C11×#464C411yescharacteristic, complemented
23C11×#464C411yescharacteristic, complemented
24C11×#463C411yescharacteristic, complemented
25C11×#463C411yescharacteristic, complemented
26C11×#462C411yescharacteristic, complemented
27C11×#461C411yescharacteristic, complemented
28C11×#460C411yescharacteristic, complemented
29C11×#459C411yescharacteristic, complemented
30C11×#435—21no—
31C11×#435—21no—
32C11×#435—21no—
33C11×#435—21no—
34C11×#433—21no—
35C11×#433—21no—
36C11×#432—21no—
37C11×#432—21no—
38C2×C11×#108C2211yescharacteristic
39C2×C11×#108C2211yescharacteristic
40C11×#424C2211yescharacteristic
41C11×#424C2211yescharacteristic
42C11×#423C2211yescharacteristic
43C2×C11×C4⋊C8C2211yescharacteristic
44C2×C11×#104C2211yescharacteristic
45C2×C11×#104C2211yescharacteristic
46C2×C11×#104C2211yescharacteristic
47C2×C11×#104C2211yescharacteristic
48C2×C11×#104C2211yescharacteristic
49C2×C11×#104C2211yescharacteristic
50C11×#416C2211yescharacteristic
51C11×#416C2211yescharacteristic
52C11×#408C2211yescharacteristic
53C11×#408C2211yescharacteristic
54C11×#408C2211yescharacteristic
55C11×#408C2211yescharacteristic
56C4×C11×M16C2211yescharacteristic
57C2×C11×#97C2211yescharacteristic
58C2×C11×#97C2211yescharacteristic
59C2×C4×C8×C11C2211yescharacteristic
60C4×C11×C4⋊C4C2211yescharacteristic
61C11×#341C2211yescharacteristic
62C11×#341C2211yescharacteristic
63C11×#339C2211yescharacteristic
64C11×#339C2211yescharacteristic
65C11×#336C2211yescharacteristic
66C11×#336C2211yescharacteristic
67C2×C11×#41C2311yescharacteristic
68C2×C11×#41C2311yescharacteristic
69C2×C11×#41C2311yescharacteristic
70C11×#135—41no—
71C11×#135—41no—
72C11×#135—41no—
73C11×#135—41no—
74C2×C11×Q16C2×C411yescharacteristic
75C2×C11×Q16C2×C411yescharacteristic
76C2×C11×SD16C2×C411yescharacteristic
77C2×C11×SD16C2×C411yescharacteristic
78C2×C11×SD16C2×C411yescharacteristic
79C2×C11×SD16C2×C411yescharacteristic
80C2×C11×D8C2×C411yescharacteristic
81C2×C11×D8C2×C411yescharacteristic
82C11×#131—41no—
83C11×#131—41no—
84C11×#131—41no—
85C11×#131—41no—
86C2×C11×M16—21no—
87C2×C11×M16—21no—
88C2×C11×M16C2311yescharacteristic
89C2×C11×M16C2311yescharacteristic
90C2×C11×M16C2311yescharacteristic
91C2×C11×M16C2311yescharacteristic
92C22×C8×C11—21no—
93C22×C8×C11—21no—
94C22×C8×C11C2311yescharacteristic
95C22×C8×C11C2311yescharacteristic
96C22×C8×C11C2311yescharacteristic
97C22×C8×C11C2311yescharacteristic
98C11×C4⋊Q8C2×C411yescharacteristic
99C11×#127C2×C411yescharacteristic
100C11×#124C2×C411yescharacteristic
101C11×#124C2×C411yescharacteristic
102C11×#121—21no—
103C11×#121—21no—
104C4×Q8×C11C2×C411yescharacteristic
105C4×Q8×C11C2×C411yescharacteristic
106C4×D4×C11—21no—
107C4×D4×C11—21no—
108C4×D4×C11—21no—
109C4×D4×C11—21no—
110C4×D4×C11C2×C411yescharacteristic
111C4×D4×C11C2×C411yescharacteristic
112C11×#117—21no—
113C11×#117C2311yescharacteristic
114C2×C11×C4⋊C4—21no—
115C2×C42×C11—21no—
116C2×C42×C11C2311yescharacteristic
117C2×C42×C11C2311yescharacteristic
118C2×C42×C11C2311yescharacteristic
119C11×#108—41no—
120C11×#108—41no—
121C11×C4⋊C8—21no—
122C11×C4⋊C8—21no—
123C11×C4⋊C8—21no—
124C11×C4⋊C8—21no—
125C11×C4⋊C8—21no—
126C11×C4⋊C8—21no—
127C11×C4⋊C8C2×C411yescharacteristic
128C11×C4⋊C8C2×C411yescharacteristic
129C11×C4⋊C8C2×C411yescharacteristic
130C11×C4⋊C8C2×C411yescharacteristic
131C11×#104—41no—
132C11×#104—41no—
133C11×#104—41no—
134C11×#104—41no—
135C11×#104—41no—
136C11×#104—41no—
137C11×#103C2×C411yescharacteristic
138C11×#103C2×C411yescharacteristic
139C11×#103C2×C411yescharacteristic
140C11×#103C2×C411yescharacteristic
141C11×#102C2×C411yescharacteristic
142C11×#102C2×C411yescharacteristic
143C11×#102C2×C411yescharacteristic
144C11×#102C2×C411yescharacteristic
145C11×C22⋊C8—21no—
146C11×C22⋊C8—21no—
147C11×C22⋊C8—21no—
148C11×C22⋊C8—21no—
149C11×C22⋊C8—21no—
150C11×C22⋊C8—21no—
151C11×C22⋊C8—21no—
152C11×C22⋊C8—21no—
153C11×#97—21no—
154C11×#97—41no—
155C11×#97D411yescharacteristic
156C11×#97D411yescharacteristic
157C11×#97D411yescharacteristic
158C11×#97D411yescharacteristic
159C4×C8×C11—21no—
160C4×C8×C11—41no—
161C11×#95—21no—
162#22167C1111yesmaximal, characteristic, direct product factor, Sylow
163C11×#41—21no—
164C11×#41—21no—
165C11×#41—21no—
166C11×#41—21no—
167C11×#41—21no—
168C11×#41—21no—
169C11×#41—21no—
170C11×#41—21no—
171C11×#41—21no—
172C11×#41—21no—
173C11×#41—21no—
174C11×#41—21no—
175C2×Q8×C11C22×C411yescharacteristic
176C2×Q8×C11C22×C411yescharacteristic
177C2×Q8×C11C22×C411yescharacteristic
178C2×D4×C11—21no—
179C2×D4×C11—21no—
180C2×D4×C11—21no—
181C2×D4×C11—21no—
182C2×D4×C11—21no—
183C2×D4×C11C22×C411yescharacteristic
184C2×D4×C11C22×C411yescharacteristic
185C2×D4×C11C22×C411yescharacteristic
186C22×C4×C11—21no—
187C22×C4×C11—21no—
188C22×C4×C11—21no—
189C22×C4×C11—21no—
190C22×C4×C11—21no—
191C22×C4×C11—21no—
192C22×C4×C11—21no—
193C22×C4×C11#4111yescharacteristic
194C22×C4×C11#4111yescharacteristic
195C22×C4×C11C2411yescharacteristic
196C11×Q16—41no—
197C11×Q16—41no—
198C11×SD16—41no—
199C11×SD16—41no—
200C11×SD16—41no—
201C11×SD16—41no—
202C11×D8—41no—
203C11×D8—41no—
204C11×M16—21no—
205C11×M16—21no—
206C11×M16—21no—
207C11×M16—21no—
208C11×M16—21no—
209C11×M16—21no—
210C11×M16—21no—
211C11×M16—21no—
212C11×M16—42no—
213C11×M16—42no—
214C2×C8×C11—21no—
215C2×C8×C11—21no—
216C2×C8×C11—21no—
217C2×C8×C11—21no—
218C2×C8×C11—21no—
219C2×C8×C11—21no—
220C2×C8×C11—21no—
221C2×C8×C11—21no—
222C2×C8×C11—21no—
223C2×C8×C11—21no—
224C2×C8×C11—21no—
225C2×C8×C11—21no—
226C2×C8×C11—42no—
227C2×C8×C11—42no—
228C2×C8×C11C22×C411yescharacteristic
229C2×C8×C11C22×C411yescharacteristic
230C2×C8×C11C22×C411yescharacteristic
231C2×C8×C11C22×C411yescharacteristic
232C2×C8×C11C2×D411yescharacteristic
233C2×C8×C11C2×D411yescharacteristic
234C2×C8×C11C2×D411yescharacteristic
235C2×C8×C11C2×D411yescharacteristic
236C11×C4⋊C4—21no—
237C11×C4⋊C4—21no—
238C11×C4⋊C4—21no—
239C11×C4⋊C4—21no—
240C11×C4⋊C4—42no—
241C11×C4⋊C4C22×C411yescharacteristic
242C11×C4⋊C4C22×C411yescharacteristic
243C11×C22⋊C4—21no—
244C11×C22⋊C4—21no—
245C11×C22⋊C4—21no—
246C11×C22⋊C4—21no—
247C11×C22⋊C4—21no—
248C11×C22⋊C4—21no—
249C11×C22⋊C4—21no—
250C42×C11—21no—
251C42×C11—21no—
252C42×C11—21no—
253C42×C11—21no—
254C42×C11—21no—
255C42×C11—21no—
256C42×C11—21no—
257C42×C11C22×C411yescharacteristic
258C42×C11C22×C411yescharacteristic
259C42×C11C2×D411yescharacteristic
260C42×C11C2×D411yescharacteristic
261#3035C2×C1111yescharacteristic
262#2932C2×C1111yescharacteristic, complemented
263#2923C2×C1111yescharacteristic, complemented
264#1980C2×C1111yescharacteristic, complemented
265#1975C2×C1111yescharacteristic, complemented
266#1974C2×C1111yescharacteristic, complemented
267#1950C2×C1111yescharacteristic, complemented
268#1938C2×C1111yescharacteristic, complemented
269#1937C2×C1111yescharacteristic, complemented
270#1876C2×C1111yescharacteristic, complemented
271#1876C2×C1111yescharacteristic, complemented
272#1866C2×C1111yescharacteristic, complemented
273#1866C2×C1111yescharacteristic, complemented
274#1806C2×C1111yescharacteristic, complemented
275#1771C2×C1111yescharacteristic, complemented
276C23×C11—21no—
277C23×C11—21no—
278C23×C11—21no—
279C23×C11C2×#4111yescharacteristic
280Q8×C11—21no—
281Q8×C11—21no—
282Q8×C11—21no—
283Q8×C11—21no—
284Q8×C11—21no—
285Q8×C11—21no—
286D4×C11—21no—
287D4×C11—21no—
288D4×C11—21no—
289D4×C11—21no—
290D4×C11—21no—
291D4×C11—21no—
292D4×C11—41no—
293D4×C11—41no—
294D4×C11—41no—
295D4×C11—41no—
296D4×C11—41no—
297D4×C11—41no—
298D4×C11—81no—
299D4×C11—81no—
300C2×C4×C11—22no—
301C2×C4×C11—21no—
302C2×C4×C11—21no—
303C2×C4×C11—21no—
304C2×C4×C11—21no—
305C2×C4×C11—21no—
306C2×C4×C11—41no—
307C2×C4×C11—41no—
308C2×C4×C11—41no—
309C2×C4×C11—41no—
310C2×C4×C11—41no—
311C2×C4×C11—41no—
312C2×C4×C11—41no—
313C2×C4×C11—41no—
314C2×C4×C11—41no—
315C2×C4×C11—41no—
316C2×C4×C11—41no—
317C2×C4×C11—41no—
318C2×C4×C11—41no—
319C2×C4×C11—81no—
320C2×C4×C11—81no—
321C2×C4×C11C4×D411yescharacteristic
322C2×C4×C11C4×D411yescharacteristic
323C2×C4×C11C4×D411yescharacteristic
324C2×C4×C11C4×D411yescharacteristic
325C2×C4×C11C23×C411yescharacteristic
326C2×C4×C11C22×D411yescharacteristic
327C2×C4×C11H(5,𝔽2)11yescharacteristic
328C2×C4×C11H(5,𝔽2)11yescharacteristic
329C2×C4×C11H(5,𝔽2)11yescharacteristic
330C2×C4×C112−1+411yescharacteristic
331C8×C11—21no—
332C8×C11—21no—
333C8×C11—21no—
334C8×C11—21no—
335C8×C11—21no—
336C8×C11—21no—
337C8×C11—21no—
338C8×C11—21no—
339C8×C11—41no—
340C8×C11—41no—
341C8×C11—41no—
342C8×C11—41no—
343C2×#135C22×C1111yescharacteristic
344C2×#135C22×C1111yescharacteristic
345C2×#131C22×C1111yescharacteristic
346C2×#131C22×C1111yescharacteristic
347#532C22×C1111yescharacteristic
348C4×#41C22×C1111yescharacteristic
349#464C4×C1111yescharacteristic, complemented
350#464C4×C1111yescharacteristic, complemented
351#463C4×C1111yescharacteristic, complemented
352#463C4×C1111yescharacteristic, complemented
353#462C4×C1111yescharacteristic, complemented
354#461C4×C1111yescharacteristic, complemented
355#460C4×C1111yescharacteristic, complemented
356#459C4×C1111yescharacteristic, complemented
357#435—21no—
358#435—21no—
359#435—21no—
360#435—21no—
361#433—21no—
362#433—21no—
363#432—21no—
364#432—21no—
365C2×#108C22×C1111yescharacteristic
366C2×#108C22×C1111yescharacteristic
367#424C22×C1111yescharacteristic
368#424C22×C1111yescharacteristic
369#423C22×C1111yescharacteristic
370C2×C4⋊C8C22×C1111yescharacteristic
371C2×#104C22×C1111yescharacteristic
372C2×#104C22×C1111yescharacteristic
373C2×#104C22×C1111yescharacteristic
374C2×#104C22×C1111yescharacteristic
375C2×#104C22×C1111yescharacteristic
376C2×#104C22×C1111yescharacteristic
377#416C22×C1111yescharacteristic
378#416C22×C1111yescharacteristic
379#408C22×C1111yescharacteristic
380#408C22×C1111yescharacteristic
381#408C22×C1111yescharacteristic
382#408C22×C1111yescharacteristic
383C4×M16C22×C1111yescharacteristic
384C2×#97C22×C1111yescharacteristic
385C2×#97C22×C1111yescharacteristic
386C2×C4×C8C22×C1111yescharacteristic
387C4×C4⋊C4C22×C1111yescharacteristic
388#341C22×C1111yescharacteristic
389#341C22×C1111yescharacteristic
390#339C22×C1111yescharacteristic
391#339C22×C1111yescharacteristic
392#336C22×C1111yescharacteristic
393#336C22×C1111yescharacteristic
394C22×C11—21no—
395C22×C11—21no—
396C22×C11—41no—
397C22×C11—41no—
398C22×C11—41no—
399C22×C11—41no—
400C22×C11—41no—
401C22×C11—41no—
402C22×C11—41no—
403C22×C11—41no—
404C22×C11—41no—
405C22×C11C2×C4×D411yescharacteristic
406C22×C11#54011yescharacteristic
407C22×C11#54211yescharacteristic
408C4×C11—21no—
409C4×C11—21no—
410C4×C11—21no—
411C4×C11—21no—
412C4×C11—42no—
413C4×C11—41no—
414C4×C11—41no—
415C4×C11—41no—
416C4×C11—41no—
417C4×C11—41no—
418C4×C11—81no—
419C4×C11#51811yescharacteristic
420C4×C11#52011yescharacteristic
421C4×C11#53511yescharacteristic
422C4×C11#53711yescharacteristic
423C2×#41C23×C1111yescharacteristic
424C2×#41C23×C1111yescharacteristic
425C2×#41C23×C1111yescharacteristic
426#135—41no—
427#135—41no—
428#135—41no—
429#135—41no—
430C2×Q16C2×C4×C1111yescharacteristic
431C2×Q16C2×C4×C1111yescharacteristic
432C2×SD16C2×C4×C1111yescharacteristic
433C2×SD16C2×C4×C1111yescharacteristic
434C2×SD16C2×C4×C1111yescharacteristic
435C2×SD16C2×C4×C1111yescharacteristic
436C2×D8C2×C4×C1111yescharacteristic
437C2×D8C2×C4×C1111yescharacteristic
438#131—41no—
439#131—41no—
440#131—41no—
441#131—41no—
442C2×M16—21no—
443C2×M16—21no—
444C2×M16C23×C1111yescharacteristic
445C2×M16C23×C1111yescharacteristic
446C2×M16C23×C1111yescharacteristic
447C2×M16C23×C1111yescharacteristic
448C22×C8—21no—
449C22×C8—21no—
450C22×C8C23×C1111yescharacteristic
451C22×C8C23×C1111yescharacteristic
452C22×C8C23×C1111yescharacteristic
453C22×C8C23×C1111yescharacteristic
454C4⋊Q8C2×C4×C1111yescharacteristic
455#127C2×C4×C1111yescharacteristic
456#124C2×C4×C1111yescharacteristic
457#124C2×C4×C1111yescharacteristic
458#121—21no—
459#121—21no—
460C4×Q8C2×C4×C1111yescharacteristic
461C4×Q8C2×C4×C1111yescharacteristic
462C4×D4—21no—
463C4×D4—21no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4C2×C4×C1111yescharacteristic
467C4×D4C2×C4×C1111yescharacteristic
468#117—21no—
469#117C23×C1111yescharacteristic
470C2×C4⋊C4—21no—
471C2×C42—21no—
472C2×C42C23×C1111yescharacteristic
473C2×C42C23×C1111yescharacteristic
474C2×C42C23×C1111yescharacteristic
475#108—41no—
476#108—41no—
477C4⋊C8—21no—
478C4⋊C8—21no—
479C4⋊C8—21no—
480C4⋊C8—21no—
481C4⋊C8—21no—
482C4⋊C8—21no—
483C4⋊C8C2×C4×C1111yescharacteristic
484C4⋊C8C2×C4×C1111yescharacteristic
485C4⋊C8C2×C4×C1111yescharacteristic
486C4⋊C8C2×C4×C1111yescharacteristic
487#104—41no—
488#104—41no—
489#104—41no—
490#104—41no—
491#104—41no—
492#104—41no—
493#103C2×C4×C1111yescharacteristic
494#103C2×C4×C1111yescharacteristic
495#103C2×C4×C1111yescharacteristic
496#103C2×C4×C1111yescharacteristic
497#102C2×C4×C1111yescharacteristic
498#102C2×C4×C1111yescharacteristic
499#102C2×C4×C1111yescharacteristic
500#102C2×C4×C1111yescharacteristic
501C22⋊C8—21no—
502C22⋊C8—21no—
503C22⋊C8—21no—
504C22⋊C8—21no—
505C22⋊C8—21no—
506C22⋊C8—21no—
507C22⋊C8—21no—
508C22⋊C8—21no—
509#97—21no—
510#97—41no—
511#97D4×C1111yescharacteristic
512#97D4×C1111yescharacteristic
513#97D4×C1111yescharacteristic
514#97D4×C1111yescharacteristic
515C4×C8—21no—
516C4×C8—41no—
517#95—21no—
518C2×C11—21no—
519C2×C11—21no—
520C2×C11—81no—
521C2×C11—81no—
522C2×C11—81no—
523C2×C11#232411yescharacteristic
524C2×C11#295611yescharacteristic
525C2×C11#295711yescharacteristic
526#41—21no—
527#41—21no—
528#41—21no—
529#41—21no—
530#41—21no—
531#41—21no—
532#41—21no—
533#41—21no—
534#41—21no—
535#41—21no—
536#41—21no—
537#41—21no—
538C2×Q8C22×C4×C1111yescharacteristic
539C2×Q8C22×C4×C1111yescharacteristic
540C2×Q8C22×C4×C1111yescharacteristic
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—21no—
545C2×D4—21no—
546C2×D4C22×C4×C1111yescharacteristic
547C2×D4C22×C4×C1111yescharacteristic
548C2×D4C22×C4×C1111yescharacteristic
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4C11×#4111yescharacteristic
557C22×C4C11×#4111yescharacteristic
558C22×C4C24×C1111yescharacteristic
559Q16—41no—
560Q16—41no—
561SD16—41no—
562SD16—41no—
563SD16—41no—
564SD16—41no—
565D8—41no—
566D8—41no—
567M16—21no—
568M16—21no—
569M16—21no—
570M16—21no—
571M16—21no—
572M16—21no—
573M16—21no—
574M16—21no—
575M16—42no—
576M16—42no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—21no—
583C2×C8—21no—
584C2×C8—21no—
585C2×C8—21no—
586C2×C8—21no—
587C2×C8—21no—
588C2×C8—21no—
589C2×C8—42no—
590C2×C8—42no—
591C2×C8C22×C4×C1111yescharacteristic
592C2×C8C22×C4×C1111yescharacteristic
593C2×C8C22×C4×C1111yescharacteristic
594C2×C8C22×C4×C1111yescharacteristic
595C2×C8C2×D4×C1111yescharacteristic
596C2×C8C2×D4×C1111yescharacteristic
597C2×C8C2×D4×C1111yescharacteristic
598C2×C8C2×D4×C1111yescharacteristic
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—42no—
604C4⋊C4C22×C4×C1111yescharacteristic
605C4⋊C4C22×C4×C1111yescharacteristic
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C42—21no—
614C42—21no—
615C42—21no—
616C42—21no—
617C42—21no—
618C42—21no—
619C42—21no—
620C42C22×C4×C1111yescharacteristic
621C42C22×C4×C1111yescharacteristic
622C42C2×D4×C1111yescharacteristic
623C42C2×D4×C1111yescharacteristic
624C11#2216711yescharacteristic, direct product factor, Sylow
625C23—21no—
626C23—21no—
627C23—21no—
628C23C2×C11×#4111yescharacteristic
629Q8—21no—
630Q8—21no—
631Q8—21no—
632Q8—21no—
633Q8—21no—
634Q8—21no—
635D4—21no—
636D4—21no—
637D4—21no—
638D4—21no—
639D4—21no—
640D4—21no—
641D4—41no—
642D4—41no—
643D4—41no—
644D4—41no—
645D4—41no—
646D4—41no—
647D4—81no—
648D4—81no—
649C2×C4—22no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
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—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—81no—
669C2×C4—81no—
670C2×C4C4×D4×C1111yescharacteristic
671C2×C4C4×D4×C1111yescharacteristic
672C2×C4C4×D4×C1111yescharacteristic
673C2×C4C4×D4×C1111yescharacteristic
674C2×C4C23×C4×C1111yescharacteristic
675C2×C4C22×D4×C1111yescharacteristic
676C2×C4C11×H(5,𝔽2)11yescharacteristic
677C2×C4C11×H(5,𝔽2)11yescharacteristic
678C2×C4C11×H(5,𝔽2)11yescharacteristic
679C2×C4C11×2−1+411yescharacteristic
680C8—21no—
681C8—21no—
682C8—21no—
683C8—21no—
684C8—21no—
685C8—21no—
686C8—21no—
687C8—21no—
688C8—41no—
689C8—41no—
690C8—41no—
691C8—41no—
692C22—21no—
693C22—21no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22C2×C4×D4×C1111yescharacteristic
704C22C11×#54011yescharacteristic
705C22C11×#54211yescharacteristic
706C4—21no—
707C4—21no—
708C4—21no—
709C4—21no—
710C4—42no—
711C4—41no—
712C4—41no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—81no—
717C4C11×#51811yescharacteristic
718C4C11×#52011yescharacteristic
719C4C11×#53511yescharacteristic
720C4C11×#53711yescharacteristic
721C2—21no—
722C2—21no—
723C2—81no—
724C2—81no—
725C2—81no—
726C2C11×#232411yescharacteristic
727C2C11×#295611yescharacteristic
728C2C11×#295711yescharacteristic
subgroupG/H
centerC2×C4×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
socleC22×C11C2×C4×D4
prime radicalC11×#3035C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C11 ◁ C2×C11×#97 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#2932C2semidirect
3. C11×#2923C2semidirect
4. C11×#1980C2semidirect
5. C11×#1975C2semidirect
6. C11×#1974C2semidirect
7. C11×#1950C2semidirect
8. C11×#1938C2semidirect
9. C11×#1937C2semidirect
10. C11×#1876C2semidirect
11. C11×#1876C2semidirect
12. C11×#1866C2semidirect
13. C11×#1866C2semidirect
14. C11×#1806C2semidirect
15. C11×#1771C2semidirect
22. C11×#464C4semidirect
23. C11×#464C4semidirect
24. C11×#463C4semidirect
25. C11×#463C4semidirect
26. C11×#462C4semidirect
27. C11×#461C4semidirect
28. C11×#460C4semidirect
29. C11×#459C4semidirect
162. #22167C11direct (N × H)
262. #2932C2×C11semidirect
263. #2923C2×C11semidirect
264. #1980C2×C11semidirect
265. #1975C2×C11semidirect
266. #1974C2×C11semidirect
267. #1950C2×C11semidirect
268. #1938C2×C11semidirect
269. #1937C2×C11semidirect
270. #1876C2×C11semidirect
271. #1876C2×C11semidirect
272. #1866C2×C11semidirect
273. #1866C2×C11semidirect
274. #1806C2×C11semidirect
275. #1771C2×C11semidirect
349. #464C4×C11semidirect
350. #464C4×C11semidirect
351. #463C4×C11semidirect
352. #463C4×C11semidirect
353. #462C4×C11semidirect
354. #461C4×C11semidirect
355. #460C4×C11semidirect
356. #459C4×C11semidirect
624. C11#22167direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#30352
C11×#29322
C11×#29232
C11×#19802
C11×#19752
C11×#19742
C11×#19502
C11×#19382
C11×#19372
C11×#18762
C11×#18662
C11×#18062
C11×#17712
#2216711