Finite Group Databasebeta

← #15647265

Subgroups — #15647265

Order 2816.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083204C211yesmaximal, characteristic, complemented
2#13082620C211yesmaximal, characteristic, complemented
3#13081660C211yesmaximal, characteristic, complemented
4#13081638C211yesmaximal, characteristic, complemented
5#13081460C211yesmaximal, characteristic, complemented
6#13081386C211yesmaximal, characteristic, complemented
7#13080624C211yesmaximal, characteristic, complemented
8#13080609C211yesmaximal, characteristic, complemented
9#13080594C211yesmaximal, characteristic, complemented
10#13080579C211yesmaximal, characteristic, complemented
11#13080520C211yesmaximal, characteristic, complemented
12#13080468C211yesmaximal, characteristic, complemented
13#13080376C211yesmaximal, characteristic, complemented
14#13080348C211yesmaximal, characteristic, complemented
15#13080206C211yesmaximal, characteristic, complemented
16#13080206C211yesmaximal, characteristic, complemented
17#13080161C211yesmaximal, characteristic, complemented
18#13080161C211yesmaximal, characteristic, complemented
19#13080063C211yesmaximal, characteristic, complemented
20#13080055C211yesmaximal, characteristic, complemented
21#13079943C211yesmaximal, characteristic, complemented
22#13079679C211yesmaximal, characteristic, complemented
23#13079668C211yesmaximal, characteristic, complemented
24#13079613C211yesmaximal, characteristic, complemented
25#13078832C211yesmaximal, characteristic, complemented
26#13078817C211yesmaximal, characteristic, complemented
27#13078727C211yesmaximal, characteristic, complemented
28#13078168C211yesmaximal, characteristic, complemented
29#13078157C211yesmaximal, characteristic, complemented
30#13078073C211yesmaximal, characteristic, complemented
31C11×#2992C211yesmaximal, characteristic, complemented
32C11×#529C2211yescharacteristic
33C2×#66962C2211yescharacteristic, complemented
34C2×#66961C2211yescharacteristic
35C2×#66957C2211yescharacteristic
36C2×#66957C2211yescharacteristic
37C2×#66957C2211yescharacteristic
38C2×#66957C2211yescharacteristic, complemented
39#10623240—21no—
40#10623240—21no—
41#10623240—21no—
42#10623236—21no—
43#10623223—21no—
44#10623222—21no—
45#10623209—21no—
46#10623199—21no—
47#10623194—21no—
48#10623194—21no—
49#10623194—21no—
50#10623188—21no—
51#10623178—21no—
52#10623162—21no—
53#10623151—21no—
54#10623130—21no—
55#10623116C2211yescharacteristic
56#10623115C2211yescharacteristic
57#10623108C2211yescharacteristic, complemented
58#10623098C2211yescharacteristic, complemented
59#10623096C2211yescharacteristic
60#10623096C2211yescharacteristic, complemented
61#10623086C2211yescharacteristic
62#10623084C2211yescharacteristic
63#10623084C2211yescharacteristic
64#10623084C2211yescharacteristic
65#10623084C2211yescharacteristic, complemented
66#10623083C2211yescharacteristic
67#10623083C2211yescharacteristic
68#10623082C2211yescharacteristic
69#10623081C2211yescharacteristic
70#10623081C2211yescharacteristic
71#10623066C2211yescharacteristic
72#10623066C2211yescharacteristic
73#10623066C2211yescharacteristic, complemented
74#10623057C2211yescharacteristic
75#10623056C2211yescharacteristic
76#10623054C2211yescharacteristic
77#10623054C2211yescharacteristic, complemented
78#10623049C2211yescharacteristic
79#10623010C2211yescharacteristic
80#10623008C2211yescharacteristic
81#10623008C2211yescharacteristic, complemented
82C4×#4339C2211yescharacteristic, complemented
83C11×#446C2211yescharacteristic, complemented
84C11×#446C2211yescharacteristic, complemented
85C11×#435C2211yescharacteristic
86C11×#435C2211yescharacteristic
87C11×#435C2211yescharacteristic
88C11×#435C2211yescharacteristic, complemented
89C8×D4×C11C2211yescharacteristic
90C8×D4×C11C2211yescharacteristic, complemented
91C11×#433C2211yescharacteristic
92C11×#433C2211yescharacteristic, complemented
93C11×#432C2211yescharacteristic, complemented
94C11×#424C2211yescharacteristic
95C11×#424C2211yescharacteristic, complemented
96C2×C11×C4⋊C8C2211yescharacteristic, complemented
97#10622748C2211yescharacteristic
98#10622748C2211yescharacteristic, complemented
99#10622747C2211yescharacteristic
100#10622747C2211yescharacteristic
101#10622746C2211yescharacteristic
102#10622746C2211yescharacteristic
103#10622728C2211yescharacteristic
104#10622728C2211yescharacteristic
105#10622728C2211yescharacteristic
106#10622728C2211yescharacteristic, complemented
107#10622727C2211yescharacteristic
108#10622727C2211yescharacteristic
109#10622727C2211yescharacteristic, complemented
110#10622727C2211yescharacteristic, complemented
111#10622726C2211yescharacteristic
112#10622726C2211yescharacteristic, complemented
113C2×#66885C2211yescharacteristic
114C2×#66880C2211yescharacteristic, complemented
115#10622463C2211yescharacteristic, complemented
116#10622462C2211yescharacteristic, complemented
117#10622462C2211yescharacteristic, complemented
118#10622461C2211yescharacteristic
119#10622461C2211yescharacteristic
120#10622461C2211yescharacteristic, complemented
121#10622461C2211yescharacteristic, complemented
122#10622461C2211yescharacteristic, complemented
123#10622460C2211yescharacteristic
124#10622460C2211yescharacteristic, complemented
125#10622460C2211yescharacteristic, complemented
126#10622460C2211yescharacteristic, complemented
127#10622460C2211yescharacteristic, complemented
128#10622458C2211yescharacteristic
129#10622458C2211yescharacteristic
130#10622458C2211yescharacteristic
131#10622458C2211yescharacteristic
132#10622458C2211yescharacteristic, complemented
133#10622457C2211yescharacteristic
134#10622457C2211yescharacteristic
135#10622457C2211yescharacteristic
136#10622457C2211yescharacteristic
137#10622457C2211yescharacteristic
138#10622457C2211yescharacteristic
139#10622457C2211yescharacteristic, complemented
140#10622456C2211yescharacteristic
141#10622456C2211yescharacteristic
142#10622456C2211yescharacteristic
143#10622456C2211yescharacteristic
144#10622456C2211yescharacteristic
145#10622456C2211yescharacteristic
146#10622456C2211yescharacteristic, complemented
147#10622455C2211yescharacteristic
148#10622454C2211yescharacteristic, complemented
149#10622454C2211yescharacteristic, complemented
150#10622454C2211yescharacteristic, complemented
151#10622454C2211yescharacteristic, complemented
152#10622442C2211yescharacteristic, complemented
153#10622442C2211yescharacteristic, complemented
154#10622442C2211yescharacteristic, complemented
155#10622351C2211yescharacteristic, complemented
156#10622351C2211yescharacteristic, complemented
157#10622350C2211yescharacteristic
158#10622349C2211yescharacteristic, complemented
159#10622348C2211yescharacteristic
160#10622347C2211yescharacteristic
161#10622347C2211yescharacteristic
162#10622347C2211yescharacteristic
163#10622347C2211yescharacteristic
164#10622347C2211yescharacteristic
165#10622347C2211yescharacteristic
166#10622347C2211yescharacteristic
167#10622347C2211yescharacteristic
168#10622347C2211yescharacteristic, complemented
169#10622347C2211yescharacteristic, complemented
170#10622347C2211yescharacteristic, complemented
171#10622346C2211yescharacteristic
172#10622346C2211yescharacteristic
173#10622346C2211yescharacteristic, complemented
174#10622345C2211yescharacteristic
175#10622345C2211yescharacteristic
176#10622336C2211yescharacteristic, complemented
177#10622335C2211yescharacteristic
178#10622334C2211yescharacteristic
179#10622329C2211yescharacteristic, complemented
180#10622329C2211yescharacteristic, complemented
181#10622327C2211yescharacteristic
182#10622327C2211yescharacteristic, complemented
183#10622326C2211yescharacteristic
184#10622325C2211yescharacteristic
185#10622325C2211yescharacteristic
186#10622325C2211yescharacteristic
187#10622325C2211yescharacteristic, complemented
188#10622324C2211yescharacteristic
189#10622324C2211yescharacteristic, complemented
190#10622323C2211yescharacteristic
191#10622323C2211yescharacteristic
192#10622323C2211yescharacteristic, complemented
193#10622323C2211yescharacteristic, complemented
194#10622316C2211yescharacteristic, complemented
195C4×Dic44C2211yescharacteristic, complemented
196#10622310C2211yescharacteristic
197#10622310C2211yescharacteristic
198#10622308C2211yescharacteristic
199#10622306C2211yescharacteristic, complemented
200C4×D88C2211yescharacteristic
201C4×#4314C2211yescharacteristic, complemented
202C4×#4314C2211yescharacteristic, complemented
203C2×#4343—21no—
204C2×#4341—21no—
205C2×#4339—21no—
206C2×#4339C2311yescharacteristic
207C2×#4339C2311yescharacteristic
208C2×#4339C2311yescharacteristic
209C2×#4339C2311yescharacteristic
210C2×#4339C2311yescharacteristic
211C2×#4339C2311yescharacteristic
212C2×#4339C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C2×C11×M16C2311yescharacteristic
216C2×C11×M16C2311yescharacteristic
217C22×C8×C11C2311yescharacteristic
218C22×C8×C11C2311yescharacteristic
219C22×C8×C11C2311yescharacteristic
220C22×C8×C11C2311yescharacteristic
221C11×#126D411yescharacteristic
222C11×#126D411yescharacteristic
223C11×#125D411yescharacteristic
224C11×#124D411yescharacteristic
225C11×#123D411yescharacteristic
226C11×#123D411yescharacteristic
227C11×C22⋊Q8D411yescharacteristic
228C11×#121D411yescharacteristic
229C4×Q8×C11C2311yescharacteristic
230C4×D4×C11C2311yescharacteristic
231C4×D4×C11C2311yescharacteristic
232C4×D4×C11C2311yescharacteristic
233C11×#117C2311yescharacteristic
234C11×#117C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236#67000—21no—
237#66999—21no—
238#66997—21no—
239#66993—21no—
240#66993—21no—
241#66993—21no—
242#66993—21no—
243#66992—21no—
244#66992—21no—
245#66992—21no—
246#66992—21no—
247#66991—21no—
248#66990—21no—
249#66990—21no—
250#66983—21no—
251#66983—21no—
252#66983—21no—
253#66983C2311yescharacteristic
254#66983C2311yescharacteristic
255#66983C2311yescharacteristic
256#66983C2311yescharacteristic
257#66983C2311yescharacteristic
258#66983C2311yescharacteristic
259#66983C2311yescharacteristic
260#66983C2311yescharacteristic
261#66983C2311yescharacteristic
262#66982—21no—
263C4×C22⋊D11—21no—
264C4×C22⋊D11—21no—
265C4×C22⋊D11—21no—
266#66979C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269#66977C2311yescharacteristic
270#66977C2311yescharacteristic
271#66977C2311yescharacteristic
272#66962—42no—
273#66961—42no—
274C2×Dic44C2311yescharacteristic
275C2×Dic44C2311yescharacteristic
276C2×Dic44C2311yescharacteristic
277#66957—42no—
278#66957—42no—
279#66957—42no—
280#66957—42no—
281C2×D88C2311yescharacteristic
282C2×D88C2311yescharacteristic
283C2×D88C2311yescharacteristic
284C2×D88C2311yescharacteristic
285C2×D88C2311yescharacteristic
286C2×D88C2311yescharacteristic
287C2×D88C2311yescharacteristic
288C2×D88C2311yescharacteristic
289C2×D88C2311yescharacteristic
290C2×#4314C2311yescharacteristic
291C2×#4314C2311yescharacteristic
292C2×#4314C2311yescharacteristic
293C2×#4314C2311yescharacteristic
294C2×#4314C2311yescharacteristic
295C2×#4314C2311yescharacteristic
296C2×#4314C2311yescharacteristic
297C2×#4314C2311yescharacteristic
298C2×#4314C2311yescharacteristic
299C2×#4314C2311yescharacteristic
300C2×#4314C2311yescharacteristic
301C2×#4314C2311yescharacteristic
302#66951—21no—
303#66951—21no—
304#66951—21no—
305#66951—21no—
306#66950—21no—
307#66950—21no—
308#66950—21no—
309#66949—21no—
310#66949—21no—
311#66948—21no—
312#66948—21no—
313#66948—21no—
314#66948—21no—
315#66948—21no—
316#66947—21no—
317#66947—21no—
318#66947—21no—
319#66947—21no—
320#66947—21no—
321#66947—21no—
322#66947—21no—
323#66947—21no—
324#66947—21no—
325#66947—21no—
326#66946—21no—
327#66946—21no—
328#66946—21no—
329#66946—21no—
330#66946—21no—
331#66945—21no—
332#66945—21no—
333#66945—21no—
334C4⋊C4×D11—21no—
335C4⋊C4×D11—21no—
336C4⋊C4×D11—21no—
337#66942—21no—
338#66942—21no—
339#66942—21no—
340#66942—21no—
341#66940—21no—
342#66939—21no—
343#66939—21no—
344#66939—21no—
345#66939—21no—
346#66938—21no—
347#66938—21no—
348#66937—21no—
349#66937—21no—
350#66937—21no—
351#66937—21no—
352#66937—21no—
353#66937—21no—
354#66937—21no—
355#66937—21no—
356#66937—21no—
357#66937—21no—
358#66937—21no—
359#66937—21no—
360#66937—21no—
361#66937—21no—
362#66937—21no—
363#66937—21no—
364#66936—21no—
365#66936—21no—
366#66936—21no—
367#66936—21no—
368#66935—21no—
369#66935—21no—
370(C22⋊D11)⋊C4—21no—
371(C22⋊D11)⋊C4—21no—
372(C22⋊D11)⋊C4—21no—
373(C22⋊D11)⋊C4—21no—
374(C22⋊D11)⋊C4—21no—
375(C22⋊D11)⋊C4—21no—
376(C22⋊D11)⋊C4—21no—
377(C22⋊D11)⋊C4—21no—
378C22⋊C4×D11—21no—
379C22⋊C4×D11—21no—
380#66932—21no—
381#66932—21no—
382#66929—21no—
383#66928—21no—
384#66928C2311yescharacteristic
385#66928C2311yescharacteristic
386#66928C2311yescharacteristic
387#66928C2311yescharacteristic
388#66928C2311yescharacteristic
389#66927C2311yescharacteristic
390#66927C2311yescharacteristic
391#66927C2311yescharacteristic
392#66927C2311yescharacteristic
393#66927C2311yescharacteristic
394C4×D44—21no—
395C4×D44—21no—
396C4×D44—21no—
397C4×D44C2311yescharacteristic
398C4×D44C2311yescharacteristic
399C4×D44C2311yescharacteristic
400C4×D44C2311yescharacteristic
401C4×D44C2311yescharacteristic
402C4×D44C2311yescharacteristic
403C4×D44C2311yescharacteristic
404C4×D44C2311yescharacteristic
405C4×D44C2311yescharacteristic
406#66925—21no—
407#66925—21no—
408C42×D11—21no—
409#66923C2311yescharacteristic
410#66923C2311yescharacteristic
411#66923C2311yescharacteristic
412#66922C2311yescharacteristic
413#66922C2311yescharacteristic
414#66922C2311yescharacteristic
415C4×Dic22C2311yescharacteristic
416C4×Dic22C2311yescharacteristic
417C4×Dic22C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×C4⋊C8C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×C4⋊C8C2311yescharacteristic
427C11×C4⋊C8C2311yescharacteristic
428C11×C4⋊C8C2311yescharacteristic
429C11×C4⋊C8C2311yescharacteristic
430C11×C4⋊C8C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×C22⋊C8C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C11×C22⋊C8C2311yescharacteristic
436C11×C22⋊C8C2311yescharacteristic
437C11×C22⋊C8C2311yescharacteristic
438C11×#97C2311yescharacteristic
439C11×#97C2311yescharacteristic
440C11×#97C2311yescharacteristic
441C11×#97C2311yescharacteristic
442C4×C8×C11C2311yescharacteristic
443C4×C8×C11C2311yescharacteristic
444#66885C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460#66885C2311yescharacteristic
461#66885C2311yescharacteristic
462#66882C2311yescharacteristic
463#66882C2311yescharacteristic
464#66882C2311yescharacteristic
465#66882C2311yescharacteristic
466#66881C2311yescharacteristic
467#66881C2311yescharacteristic
468#66881C2311yescharacteristic
469#66881C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66880C2311yescharacteristic
477#66880C2311yescharacteristic
478#66880C2311yescharacteristic
479#66880C2311yescharacteristic
480#66880C2311yescharacteristic
481#66880C2311yescharacteristic
482#66880C2311yescharacteristic
483#66880C2311yescharacteristic
484#62014—111nomaximal, Sylow
485C23×D11—21no—
486C2×Q8×C11C2×D411yescharacteristic
487C2×D4×C11C2×D411yescharacteristic
488C2×D4×C11C2×D411yescharacteristic
489C2×D4×C11C2×D411yescharacteristic
490C22×C4×C11C2×D411yescharacteristic
491C22×C4×C11C2×D411yescharacteristic
492C22×C4×C11C2411yescharacteristic
493C22×C4×C11C2411yescharacteristic
494C22×C4×C11C2411yescharacteristic
495C2×C22⋊D11—21no—
496C2×C22⋊D11—21no—
497C2×C22⋊D11—21no—
498C2×C22⋊D11—21no—
499C2×C22⋊D11—21no—
500C2×C22⋊D11—21no—
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C22×Dic11—21no—
512C22×Dic11—21no—
513C22×Dic11—21no—
514#4343—82no—
515#4341—82no—
516#4339—22no—
517#4339—22no—
518#4339—22no—
519#4339—41no—
520#4339—41no—
521#4339—41no—
522#4339—41no—
523#4339—41no—
524#4339—41no—
525#4339—41no—
526#4339—41no—
527#4339—41no—
528#4339—41no—
529#4339—41no—
530#4339—82no—
531C2×D44—21no—
532C2×D44—21no—
533C2×D44—21no—
534C2×D44—21no—
535C2×D44—21no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44—21no—
539C2×D44—21no—
540C2×D44—21no—
541C2×D44—21no—
542C2×D44—41no—
543C2×D44—41no—
544C2×D44C2411yescharacteristic
545C2×D44C2411yescharacteristic
546C2×D44C2411yescharacteristic
547C2×D44C2411yescharacteristic
548C2×D44C2411yescharacteristic
549C2×D44C2411yescharacteristic
550C2×C4×D11—21no—
551C2×C4×D11—21no—
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×Dic22—21no—
567C2×Dic22—21no—
568C2×Dic22—41no—
569C2×Dic22—41no—
570C2×Dic22C2411yescharacteristic
571C2×Dic22C2411yescharacteristic
572C2×Dic22C2411yescharacteristic
573C2×Dic22C2411yescharacteristic
574C11×M16—41no—
575C11×M16—41no—
576C2×C8×C11—41no—
577C2×C8×C11—41no—
578C2×C8×C11—41no—
579C2×C8×C11—41no—
580C2×C8×C11C2411yescharacteristic
581C2×C8×C11C2411yescharacteristic
582C2×C8×C11C2411yescharacteristic
583C2×C8×C11C2411yescharacteristic
584C2×C8×C11C2411yescharacteristic
585C2×C8×C11C2411yescharacteristic
586C2×C8×C11C2411yescharacteristic
587C2×C8×C11C2411yescharacteristic
588C11×C4⋊C4C2×D411yescharacteristic
589C11×C4⋊C4C2×D411yescharacteristic
590C11×C4⋊C4C2×D411yescharacteristic
591C11×C4⋊C4C2×D411yescharacteristic
592C11×C4⋊C4C2×D411yescharacteristic
593C11×C4⋊C4C2×D411yescharacteristic
594C11×C4⋊C4C2×D411yescharacteristic
595C11×C4⋊C4C2×D411yescharacteristic
596C11×C4⋊C4C2×D411yescharacteristic
597C11×C4⋊C4C2×D411yescharacteristic
598C11×C22⋊C4C2×D411yescharacteristic
599C11×C22⋊C4C2×D411yescharacteristic
600C11×C22⋊C4C2×D411yescharacteristic
601C11×C22⋊C4C2×D411yescharacteristic
602C11×C22⋊C4C2×D411yescharacteristic
603C11×C22⋊C4C2×D411yescharacteristic
604C11×C22⋊C4C2×D411yescharacteristic
605C11×C22⋊C4C2×D411yescharacteristic
606C11×C22⋊C4C2×D411yescharacteristic
607C11×C22⋊C4C2×D411yescharacteristic
608C42×C11C2×D411yescharacteristic
609C42×C11C2×D411yescharacteristic
610C42×C11C2411yescharacteristic
611C42×C11C2411yescharacteristic
612C42×C11C2411yescharacteristic
613C42×C11C2411yescharacteristic
614C22⋊Dic11—21no—
615C22⋊Dic11—21no—
616C22⋊Dic11—21no—
617C22⋊Dic11—21no—
618(C2×D11)⋊C4—21no—
619(C2×D11)⋊C4—21no—
620(C2×D11)⋊C4—21no—
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646C4⋊Dic11—21no—
647C4⋊Dic11—21no—
648C4⋊Dic11—21no—
649C4⋊Dic11—21no—
650C4⋊Dic11—21no—
651C4⋊Dic11—21no—
652C4⋊Dic11—21no—
653C4⋊Dic11C2411yescharacteristic
654C4⋊Dic11C2411yescharacteristic
655C4⋊Dic11C2411yescharacteristic
656C4⋊Dic11C2411yescharacteristic
657C4⋊Dic11C2411yescharacteristic
658C4⋊Dic11C2411yescharacteristic
659Dic11⋊C4—21no—
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4—21no—
663Dic11⋊C4—21no—
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675C4×Dic11—21no—
676C4×Dic11—21no—
677C4×Dic11—21no—
678C4×Dic11—21no—
679C4×Dic11—21no—
680C4×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683Dic44—22no—
684Dic44—22no—
685Dic44—22no—
686D88—41no—
687D88—41no—
688D88—41no—
689D88—41no—
690D88—41no—
691D88—41no—
692D88—41no—
693D88—41no—
694D88—41no—
695#4314—22no—
696#4314—22no—
697#4314—22no—
698#4314—41no—
699#4314—41no—
700#4314—41no—
701#4314—41no—
702#4314—41no—
703#4314—41no—
704#4314—41no—
705#4314—41no—
706#4314—41no—
707#3562—111no—
708#3517—111no—
709#3399—111no—
710#3397—111no—
711#3377—111no—
712#3371—111no—
713#3309—111no—
714#3308—111no—
715#3307—111no—
716#3306—111no—
717#3301—111no—
718#3297—111no—
719#3287—111no—
720#3284—111no—
721#3271—111no—
722#3271—111no—
723#3268—111no—
724#3268—111no—
725#3260—111no—
726#3259—111no—
727#3247—111no—
728#3221—111no—
729#3220—111no—
730#3214—111no—
731#3120—111no—
732#3119—111no—
733#3111—111no—
734#3046—111no—
735#3045—111no—
736#3035—111no—
737#2992D1111yescharacteristic, complemented
738C23×C11C22×D411yescharacteristic
739C23×C11C22×D411yescharacteristic
740C23×C11C22×D411yescharacteristic
741C22×D11—21no—
742C22×D11—21no—
743C22×D11—21no—
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—81no—
748C22×D11—81no—
749C22×D11—81no—
750Q8×C11—41no—
751D4×C11—41no—
752D4×C11—41no—
753D4×C11—41no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—41no—
761C2×C4×C11—41no—
762C2×C4×C11C22×D411yescharacteristic
763C2×C4×C11C22×D411yescharacteristic
764C2×C4×C11C22×D411yescharacteristic
765C2×C4×C11C22×D411yescharacteristic
766C2×C4×C11C22×D411yescharacteristic
767C2×C4×C11C22×D411yescharacteristic
768C2×C4×C11C22×D411yescharacteristic
769C2×C4×C11C22×D411yescharacteristic
770C2×C4×C11C22×D411yescharacteristic
771C2×C4×C11C22×D411yescharacteristic
772C2×C4×C11C22×D411yescharacteristic
773C2×C4×C11C2511yescharacteristic
774C22⋊D11—42no—
775C22⋊D11—42no—
776C22⋊D11—42no—
777C22⋊D11—81no—
778C22⋊D11—81no—
779C22⋊D11—81no—
780C22⋊D11—81no—
781C22⋊D11—81no—
782C22⋊D11—81no—
783C22⋊D11—81no—
784C22⋊D11—81no—
785C22⋊D11—81no—
786C22⋊D11—81no—
787C22⋊D11—81no—
788C22⋊D11—81no—
789C22⋊D11—81no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—81no—
801C2×Dic11—81no—
802C2×Dic11—81no—
803D44—21no—
804D44—21no—
805D44—21no—
806D44—21no—
807D44—21no—
808D44—21no—
809D44—21no—
810D44—21no—
811D44—21no—
812D44—21no—
813D44—21no—
814D44—21no—
815D44—42no—
816D44—81no—
817D44—81no—
818D44—81no—
819D44—81no—
820D44—81no—
821D44—81no—
822D44—81no—
823D44—81no—
824D44—81no—
825D44—81no—
826C4×D11—42no—
827C4×D11—42no—
828C4×D11—42no—
829C4×D11—42no—
830C4×D11—81no—
831C4×D11—81no—
832C4×D11—81no—
833C4×D11—81no—
834C4×D11—81no—
835C4×D11—81no—
836C4×D11—81no—
837C4×D11—81no—
838C4×D11—81no—
839C4×D11—81no—
840C4×D11—81no—
841C4×D11—81no—
842Dic22—21no—
843Dic22—21no—
844Dic22—21no—
845Dic22—21no—
846Dic22—21no—
847Dic22—21no—
848Dic22—21no—
849Dic22—42no—
850Dic22—81no—
851Dic22H(5,𝔽2)12yes—
852C8×C11—21no—
853C8×C11—21no—
854C8×C11—21no—
855C8×C11—21no—
856C8×C11—21no—
857C8×C11—21no—
858C8×C11—21no—
859C8×C11—21no—
860C2×#137—111no—
861C2×AGL(1,ℤ/8)—111no—
862C2×#135—111no—
863C2×#135—111no—
864C2×#135—111no—
865C2×#135—111no—
866#562—221no—
867#560—221no—
868#559—111no—
869#557—111no—
870#556—111no—
871#553—111no—
872#553—111no—
873#553—221no—
874#553—221no—
875#553—221no—
876#551—221no—
877#550—111no—
878#550—111no—
879#550—111no—
880#550—111no—
881#550—111no—
882#550—221no—
883#548—111no—
884#548—111no—
885#547—111no—
886#547—111no—
887#547—221no—
888#546—111no—
889#546—111no—
890#541—111no—
891#540—111no—
892#540—111no—
893#540—111no—
894#540—221no—
895#540—221no—
896#540—221no—
897#539—221no—
898#538—221no—
899#538—221no—
900#536—111no—
901#535—111no—
902#532—111no—
903#532—111no—
904#532—221no—
905#529—111no—
906#529—221no—
907#529C2×D1111yescharacteristic
908#520—111no—
909#520—111no—
910C4×#41—111no—
911#496—111no—
912#496—111no—
913#496—111no—
914#496—111no—
915#493—111no—
916#492—111no—
917#491—111no—
918#490—111no—
919#489—111no—
920#489—111no—
921#488—111no—
922#488—111no—
923#485—111no—
924#484—111no—
925#483—111no—
926#482—111no—
927#481—111no—
928#480—111no—
929#479—111no—
930#479—111no—
931#479—111no—
932#478—111no—
933#478—111no—
934#478—111no—
935#478—111no—
936#478—111no—
937#477—111no—
938#476—111no—
939#469—111no—
940#469—111no—
941#468—111no—
942#468—111no—
943#466—111no—
944#466—111no—
945#466—111no—
946#466—111no—
947#465—111no—
948#465—111no—
949#465—111no—
950#465—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#463—111no—
957#463—111no—
958#463—111no—
959#463—111no—
960#463—111no—
961#463—111no—
962#463—111no—
963#462—111no—
964#462—111no—
965#461—111no—
966#461—111no—
967#461—111no—
968#461—111no—
969#460—111no—
970#460—111no—
971#460—111no—
972#460—111no—
973#460—111no—
974#459—111no—
975#459—111no—
976#459—111no—
977#459—111no—
978#459—111no—
979#459—111no—
980#459—111no—
981#452—111no—
982#452—111no—
983#452—111no—
984#449—111no—
985#449—111no—
986#449—111no—
987#449—111no—
988#449—111no—
989#449—111no—
990#449—111no—
991#449—111no—
992#449—111no—
993#449—111no—
994#449—111no—
995#448—111no—
996#448—111no—
997#447—111no—
998#447—111no—
999#446C2×D1111yescharacteristic, complemented
1000#446C2×D1111yescharacteristic, complemented
1001#442—111no—
1002#442—111no—
1003#441—111no—
1004#441—111no—
1005#440—111no—
1006#440—111no—
1007#440—111no—
1008#440—111no—
1009C4×Q16—111no—
1010C4×SD16—111no—
1011C4×SD16—111no—
1012C4×D8—111no—
1013#435C2×D1111yescharacteristic
1014#435C2×D1111yescharacteristic
1015#435C2×D1111yescharacteristic
1016#435C2×D1111yescharacteristic, complemented
1017C8×D4C2×D1111yescharacteristic
1018C8×D4C2×D1111yescharacteristic, complemented
1019#433C2×D1111yescharacteristic
1020#433C2×D1111yescharacteristic, complemented
1021#432C2×D1111yescharacteristic, complemented
1022#424C2×D1111yescharacteristic
1023#424C2×D1111yescharacteristic, complemented
1024C2×C4⋊C8C2×D1111yescharacteristic, complemented
1025#417—111no—
1026#417—111no—
1027#416—111no—
1028#416—111no—
1029C2×#103—111no—
1030C2×#102—111no—
1031C22×C11—21no—
1032C22×C11—21no—
1033C22×C11—21no—
1034C22×C11—21no—
1035C22×C11—21no—
1036C22×C11—21no—
1037C22×C11—21no—
1038C22×C11—21no—
1039C22×C11—21no—
1040C22×C11C23×D411yescharacteristic
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—162no—
1060C4×C11—21no—
1061C4×C11—21no—
1062C4×C11—21no—
1063C4×C11—21no—
1064C4×C11—21no—
1065C4×C11—21no—
1066C4×C11—21no—
1067C4×C11—21no—
1068C4×C11—21no—
1069C4×C11—21no—
1070C4×C11—21no—
1071C4×C11C2×H(5,𝔽2)11yescharacteristic
1072C4×C11#58511yescharacteristic
1073Dic11—22no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11—41no—
1077Dic11—41no—
1078Dic11—41no—
1079Dic11—41no—
1080Dic11—41no—
1081Dic11—41no—
1082Dic11—41no—
1083C2×#41—111no—
1084C2×#41—111no—
1085C2×#41—111no—
1086C2×#41—111no—
1087C2×#41—111no—
1088C2×#41—111no—
1089C2×#41—111no—
1090C2×#41—221no—
1091C2×#41—221no—
1092C2×#41—221no—
1093C22×Q8—111no—
1094C22×D4—111no—
1095#137—442no—
1096AGL(1,ℤ/8)—442no—
1097#135—442no—
1098#135—442no—
1099#135—442no—
1100#135—442no—
1101C2×Q16—111no—
1102C2×Q16—111no—
1103C2×Q16—111no—
1104C2×SD16—111no—
1105C2×SD16—111no—
1106C2×SD16—111no—
1107C2×SD16—111no—
1108C2×SD16—111no—
1109C2×SD16—111no—
1110C2×SD16—111no—
1111C2×SD16—111no—
1112C2×SD16—111no—
1113C2×SD16—111no—
1114C2×SD16—111no—
1115C2×SD16—111no—
1116C2×D8—111no—
1117C2×D8—111no—
1118C2×D8—111no—
1119C2×D8—111no—
1120C2×D8—111no—
1121C2×D8—111no—
1122C2×D8—111no—
1123C2×D8—111no—
1124C2×D8—111no—
1125C2×M16C22×D1111yescharacteristic
1126C2×M16C22×D1111yescharacteristic
1127C22×C8C22×D1111yescharacteristic
1128C22×C8C22×D1111yescharacteristic
1129C22×C8C22×D1111yescharacteristic
1130C22×C8C22×D1111yescharacteristic
1131C4⋊Q8—111no—
1132C4⋊Q8—111no—
1133C4⋊Q8—111no—
1134C4⋊Q8—221no—
1135#127—111no—
1136#127—111no—
1137#127—111no—
1138#127—111no—
1139#127—111no—
1140#127—221no—
1141#127—221no—
1142#127—221no—
1143#127—221no—
1144#126—221no—
1145#126—221no—
1146#126—221no—
1147#126—221no—
1148#126—221no—
1149#126—221no—
1150#126—221no—
1151#126D4411yescharacteristic
1152#126D4411yescharacteristic
1153#125—111no—
1154#125—111no—
1155#125—111no—
1156#125—221no—
1157#125—221no—
1158#125—221no—
1159#125—221no—
1160#125D4411yescharacteristic
1161#124—111no—
1162#124—111no—
1163#124—111no—
1164#124—111no—
1165#124—111no—
1166#124—221no—
1167#124—221no—
1168#124—221no—
1169#124—221no—
1170#124D4411yescharacteristic
1171#123—221no—
1172#123—221no—
1173#123—221no—
1174#123—221no—
1175#123—221no—
1176#123—221no—
1177#123—221no—
1178#123—221no—
1179#123—221no—
1180#123—221no—
1181#123—221no—
1182#123—221no—
1183#123—221no—
1184#123—221no—
1185#123—221no—
1186#123—221no—
1187#123—221no—
1188#123—221no—
1189#123—221no—
1190#123D4411yescharacteristic
1191#123D4411yescharacteristic
1192C22⋊Q8—111no—
1193C22⋊Q8—111no—
1194C22⋊Q8—111no—
1195C22⋊Q8—221no—
1196C22⋊Q8—221no—
1197C22⋊Q8—221no—
1198C22⋊Q8—221no—
1199C22⋊Q8—221no—
1200C22⋊Q8—221no—
1201C22⋊Q8D4411yescharacteristic
1202#121—111no—
1203#121—111no—
1204#121—111no—
1205#121—111no—
1206#121—111no—
1207#121—111no—
1208#121—111no—
1209#121—111no—
1210#121—111no—
1211#121—221no—
1212#121—221no—
1213#121—221no—
1214#121—221no—
1215#121—221no—
1216#121—221no—
1217#121—221no—
1218#121—221no—
1219#121—221no—
1220#121—221no—
1221#121—221no—
1222#121—221no—
1223#121—221no—
1224#121—221no—
1225#121—221no—
1226#121—221no—
1227#121—221no—
1228#121—221no—
1229#121—221no—
1230#121—221no—
1231#121—221no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121—221no—
1239#121—221no—
1240#121D4411yescharacteristic
1241#120—221no—
1242#120—221no—
1243#120—221no—
1244#120—221no—
1245C4×Q8—111no—
1246C4×Q8—111no—
1247C4×Q8—111no—
1248C4×Q8—111no—
1249C4×Q8—111no—
1250C4×Q8—111no—
1251C4×Q8—111no—
1252C4×Q8—221no—
1253C4×Q8C22×D1111yescharacteristic
1254C4×D4—111no—
1255C4×D4—111no—
1256C4×D4—111no—
1257C4×D4—111no—
1258C4×D4—111no—
1259C4×D4—111no—
1260C4×D4—111no—
1261C4×D4—111no—
1262C4×D4—111no—
1263C4×D4—221no—
1264C4×D4—221no—
1265C4×D4—221no—
1266C4×D4—221no—
1267C4×D4—221no—
1268C4×D4—221no—
1269C4×D4—221no—
1270C4×D4—221no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4C22×D1111yescharacteristic
1283C4×D4C22×D1111yescharacteristic
1284C4×D4C22×D1111yescharacteristic
1285#117—111no—
1286#117—221no—
1287#117—221no—
1288#117—221no—
1289#117—221no—
1290#117—221no—
1291#117C22×D1111yescharacteristic
1292#117C22×D1111yescharacteristic
1293C2×C4⋊C4—111no—
1294C2×C4⋊C4—111no—
1295C2×C4⋊C4—221no—
1296C2×C4⋊C4—221no—
1297C2×C4⋊C4—221no—
1298C2×C22⋊C4—221no—
1299C2×C22⋊C4—221no—
1300C2×C42—221no—
1301C2×C42C22×D1111yescharacteristic
1302#107—111no—
1303#107—111no—
1304#107—111no—
1305#107—111no—
1306#106—111no—
1307#106—111no—
1308#106—111no—
1309#106—111no—
1310C4⋊C8C22×D1111yescharacteristic
1311C4⋊C8C22×D1111yescharacteristic
1312C4⋊C8C22×D1111yescharacteristic
1313C4⋊C8C22×D1111yescharacteristic
1314C4⋊C8C22×D1111yescharacteristic
1315C4⋊C8C22×D1111yescharacteristic
1316C4⋊C8C22×D1111yescharacteristic
1317C4⋊C8C22×D1111yescharacteristic
1318C4⋊C8C22×D1111yescharacteristic
1319C4⋊C8C22×D1111yescharacteristic
1320#103—111no—
1321#103—111no—
1322#103—111no—
1323#103—111no—
1324#103—111no—
1325#103—111no—
1326#103—111no—
1327#103—111no—
1328#103—111no—
1329#103—111no—
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#103—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102—111no—
1340#102—111no—
1341#102—111no—
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102—111no—
1351#102—111no—
1352C22⋊C8C22×D1111yescharacteristic
1353C22⋊C8C22×D1111yescharacteristic
1354C22⋊C8C22×D1111yescharacteristic
1355C22⋊C8C22×D1111yescharacteristic
1356C22⋊C8C22×D1111yescharacteristic
1357C22⋊C8C22×D1111yescharacteristic
1358#97C22×D1111yescharacteristic
1359#97C22×D1111yescharacteristic
1360#97C22×D1111yescharacteristic
1361#97C22×D1111yescharacteristic
1362C4×C8C22×D1111yescharacteristic
1363C4×C8C22×D1111yescharacteristic
1364C2×C11—41no—
1365C2×C11—41no—
1366C2×C11—41no—
1367C2×C11#348811yescharacteristic
1368C2×C11#358411yescharacteristic
1369C2×C11#358511yescharacteristic
1370D11—81no—
1371D11—81no—
1372D11—81no—
1373D11—81no—
1374D11—81no—
1375D11—81no—
1376C24—221no—
1377#41—222no—
1378#41—222no—
1379#41—222no—
1380#41—441no—
1381#41—441no—
1382#41—441no—
1383#41—441no—
1384#41—441no—
1385#41—441no—
1386#41—441no—
1387#41—441no—
1388#41—441no—
1389#41—441no—
1390#41—441no—
1391#41—882no—
1392#41—882no—
1393#41—882no—
1394C2×Q8—111no—
1395C2×Q8—111no—
1396C2×Q8—111no—
1397C2×Q8—111no—
1398C2×Q8—221no—
1399C2×Q8—221no—
1400C2×Q8—441no—
1401C2×Q8—441no—
1402C2×Q8C2×D4411yescharacteristic
1403C2×D4—111no—
1404C2×D4—111no—
1405C2×D4—111no—
1406C2×D4—111no—
1407C2×D4—111no—
1408C2×D4—111no—
1409C2×D4—221no—
1410C2×D4—221no—
1411C2×D4—221no—
1412C2×D4—221no—
1413C2×D4—221no—
1414C2×D4—221no—
1415C2×D4—221no—
1416C2×D4—221no—
1417C2×D4—221no—
1418C2×D4—221no—
1419C2×D4—221no—
1420C2×D4—221no—
1421C2×D4—221no—
1422C2×D4—221no—
1423C2×D4—221no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—441no—
1437C2×D4—441no—
1438C2×D4C2×D4411yescharacteristic
1439C2×D4C2×D4411yescharacteristic
1440C2×D4C2×D4411yescharacteristic
1441C22×C4—221no—
1442C22×C4—221no—
1443C22×C4—221no—
1444C22×C4—221no—
1445C22×C4—221no—
1446C22×C4—221no—
1447C22×C4—221no—
1448C22×C4—221no—
1449C22×C4—221no—
1450C22×C4—221no—
1451C22×C4—221no—
1452C22×C4—221no—
1453C22×C4—221no—
1454C22×C4—221no—
1455C22×C4—221no—
1456C22×C4—221no—
1457C22×C4—221no—
1458C22×C4—221no—
1459C22×C4—221no—
1460C22×C4C2×D4411yescharacteristic
1461C22×C4C2×D4411yescharacteristic
1462C22×C4C23×D1111yescharacteristic
1463C22×C4C23×D1111yescharacteristic
1464C22×C4C23×D1111yescharacteristic
1465Q16—222no—
1466Q16—222no—
1467Q16—222no—
1468SD16—222no—
1469SD16—222no—
1470SD16—222no—
1471SD16—441no—
1472SD16—441no—
1473SD16—441no—
1474SD16—441no—
1475SD16—441no—
1476SD16—441no—
1477SD16—441no—
1478SD16—441no—
1479SD16—441no—
1480D8—441no—
1481D8—441no—
1482D8—441no—
1483D8—441no—
1484D8—441no—
1485D8—441no—
1486D8—441no—
1487D8—441no—
1488D8—441no—
1489M16—41no—
1490M16—41no—
1491C2×C8—41no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8—41no—
1495C2×C8C23×D1111yescharacteristic
1496C2×C8C23×D1111yescharacteristic
1497C2×C8C23×D1111yescharacteristic
1498C2×C8C23×D1111yescharacteristic
1499C2×C8C23×D1111yescharacteristic
1500C2×C8C23×D1111yescharacteristic
1501C2×C8C23×D1111yescharacteristic
1502C2×C8C23×D1111yescharacteristic
1503C4⋊C4—111no—
1504C4⋊C4—111no—
1505C4⋊C4—111no—
1506C4⋊C4—111no—
1507C4⋊C4—111no—
1508C4⋊C4—111no—
1509C4⋊C4—221no—
1510C4⋊C4—221no—
1511C4⋊C4—221no—
1512C4⋊C4—221no—
1513C4⋊C4—221no—
1514C4⋊C4—221no—
1515C4⋊C4—221no—
1516C4⋊C4—221no—
1517C4⋊C4—221no—
1518C4⋊C4—221no—
1519C4⋊C4—221no—
1520C4⋊C4—221no—
1521C4⋊C4—221no—
1522C4⋊C4—221no—
1523C4⋊C4—221no—
1524C4⋊C4—221no—
1525C4⋊C4—221no—
1526C4⋊C4—221no—
1527C4⋊C4—221no—
1528C4⋊C4—221no—
1529C4⋊C4—221no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4C2×D4411yescharacteristic
1533C4⋊C4C2×D4411yescharacteristic
1534C4⋊C4C2×D4411yescharacteristic
1535C4⋊C4C2×D4411yescharacteristic
1536C4⋊C4C2×D4411yescharacteristic
1537C4⋊C4C2×D4411yescharacteristic
1538C4⋊C4C2×D4411yescharacteristic
1539C4⋊C4C2×D4411yescharacteristic
1540C4⋊C4C2×D4411yescharacteristic
1541C4⋊C4C2×D4411yescharacteristic
1542C22⋊C4—221no—
1543C22⋊C4—221no—
1544C22⋊C4—221no—
1545C22⋊C4—221no—
1546C22⋊C4—221no—
1547C22⋊C4—221no—
1548C22⋊C4—221no—
1549C22⋊C4—221no—
1550C22⋊C4—221no—
1551C22⋊C4—221no—
1552C22⋊C4—221no—
1553C22⋊C4—221no—
1554C22⋊C4—221no—
1555C22⋊C4—221no—
1556C22⋊C4—221no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4C2×D4411yescharacteristic
1575C22⋊C4C2×D4411yescharacteristic
1576C22⋊C4C2×D4411yescharacteristic
1577C22⋊C4C2×D4411yescharacteristic
1578C22⋊C4C2×D4411yescharacteristic
1579C22⋊C4C2×D4411yescharacteristic
1580C22⋊C4C2×D4411yescharacteristic
1581C22⋊C4C2×D4411yescharacteristic
1582C22⋊C4C2×D4411yescharacteristic
1583C22⋊C4C2×D4411yescharacteristic
1584C42—221no—
1585C42—221no—
1586C42—221no—
1587C42—221no—
1588C42—221no—
1589C42—221no—
1590C42—221no—
1591C42—221no—
1592C42C2×D4411yescharacteristic
1593C42C2×D4411yescharacteristic
1594C42C23×D1111yescharacteristic
1595C42C23×D1111yescharacteristic
1596C42C23×D1111yescharacteristic
1597C42C23×D1111yescharacteristic
1598C11#6201411yescharacteristic, complemented, Sylow
1599C23—221no—
1600C23—221no—
1601C23—221no—
1602C23—221no—
1603C23—221no—
1604C23—221no—
1605C23—881no—
1606C23—881no—
1607C23—881no—
1608C23C22×D4411yescharacteristic
1609C23C22×D4411yescharacteristic
1610C23C22×D4411yescharacteristic
1611Q8—41no—
1612Q8—112no—
1613Q8—221no—
1614Q8—221no—
1615Q8—221no—
1616Q8—221no—
1617Q8—221no—
1618Q8—221no—
1619Q8—221no—
1620Q8—442no—
1621Q8—881no—
1622D4—41no—
1623D4—41no—
1624D4—41no—
1625D4—221no—
1626D4—221no—
1627D4—221no—
1628D4—221no—
1629D4—221no—
1630D4—221no—
1631D4—221no—
1632D4—221no—
1633D4—221no—
1634D4—221no—
1635D4—221no—
1636D4—221no—
1637D4—442no—
1638D4—442no—
1639D4—442no—
1640D4—442no—
1641D4—881no—
1642D4—881no—
1643D4—881no—
1644D4—881no—
1645D4—881no—
1646D4—881no—
1647D4—881no—
1648D4—881no—
1649D4—881no—
1650D4—881no—
1651D4—881no—
1652D4—881no—
1653D4—881no—
1654D4—881no—
1655D4—881no—
1656D4—881no—
1657D4—881no—
1658D4—881no—
1659D4—881no—
1660D4—881no—
1661D4—881no—
1662D4—881no—
1663D4—881no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—442no—
1683C2×C4—442no—
1684C2×C4—442no—
1685C2×C4—442no—
1686C2×C4—881no—
1687C2×C4—881no—
1688C2×C4—881no—
1689C2×C4—881no—
1690C2×C4—881no—
1691C2×C4—881no—
1692C2×C4—881no—
1693C2×C4—881no—
1694C2×C4—881no—
1695C2×C4—881no—
1696C2×C4—881no—
1697C2×C4—881no—
1698C2×C4—881no—
1699C2×C4—881no—
1700C2×C4—881no—
1701C2×C4C22×D4411yescharacteristic
1702C2×C4C22×D4411yescharacteristic
1703C2×C4C22×D4411yescharacteristic
1704C2×C4C22×D4411yescharacteristic
1705C2×C4C22×D4411yescharacteristic
1706C2×C4C22×D4411yescharacteristic
1707C2×C4C22×D4411yescharacteristic
1708C2×C4C22×D4411yescharacteristic
1709C2×C4C22×D4411yescharacteristic
1710C2×C4C22×D4411yescharacteristic
1711C2×C4C22×D4411yescharacteristic
1712C2×C4C24×D1111yescharacteristic
1713C8—21no—
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—441no—
1731C22—441no—
1732C22—441no—
1733C22—441no—
1734C22—441no—
1735C22—441no—
1736C22—441no—
1737C22—441no—
1738C22—441no—
1739C22—441no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—1762no—
1749C22C23×D4411yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—222no—
1762C4—441no—
1763C4—441no—
1764C4—441no—
1765C4—441no—
1766C4—441no—
1767C4—441no—
1768C4—441no—
1769C4—441no—
1770C4—441no—
1771C4D11×H(5,𝔽2)11yescharacteristic
1772C4#1062345711yescharacteristic
1773C2—41no—
1774C2—41no—
1775C2—41no—
1776C2—881no—
1777C2—881no—
1778C2—881no—
1779C2—881no—
1780C2—881no—
1781C2—881no—
1782C2#1308228611yescharacteristic
1783C2#1308339011yescharacteristic
1784C2#1308339711yescharacteristic
subgroupG/H
centerC22C23×D44
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#2992C2
socleC22×C11C23×D4
hypercenter#2992D11
hypocenterC11#62014
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #529 ◁ #2992

Complements

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

NH ≅ G/Ntype
1. #13083204C2semidirect
2. #13082620C2semidirect
3. #13081660C2semidirect
4. #13081638C2semidirect
5. #13081460C2semidirect
6. #13081386C2semidirect
7. #13080624C2semidirect
8. #13080609C2semidirect
9. #13080594C2semidirect
10. #13080579C2semidirect
11. #13080520C2semidirect
12. #13080468C2semidirect
13. #13080376C2semidirect
14. #13080348C2semidirect
15. #13080206C2semidirect
16. #13080206C2semidirect
17. #13080161C2semidirect
18. #13080161C2semidirect
19. #13080063C2semidirect
20. #13080055C2semidirect
21. #13079943C2semidirect
22. #13079679C2semidirect
23. #13079668C2semidirect
24. #13079613C2semidirect
25. #13078832C2semidirect
26. #13078817C2semidirect
27. #13078727C2semidirect
28. #13078168C2semidirect
29. #13078157C2semidirect
30. #13078073C2semidirect
31. C11×#2992C2semidirect
33. C2×#66962C22semidirect
38. C2×#66957C22semidirect
57. #10623108C22semidirect
58. #10623098C22semidirect
60. #10623096C22semidirect
65. #10623084C22semidirect
73. #10623066C22semidirect
77. #10623054C22semidirect
81. #10623008C22semidirect
82. C4×#4339C22semidirect
83. C11×#446C22semidirect
84. C11×#446C22semidirect
88. C11×#435C22semidirect
90. C8×D4×C11C22semidirect
92. C11×#433C22semidirect
93. C11×#432C22semidirect
95. C11×#424C22semidirect
96. C2×C11×C4⋊C8C22semidirect
98. #10622748C22semidirect
106. #10622728C22semidirect
109. #10622727C22semidirect
110. #10622727C22semidirect
112. #10622726C22semidirect
114. C2×#66880C22semidirect
115. #10622463C22semidirect
116. #10622462C22semidirect
117. #10622462C22semidirect
120. #10622461C22semidirect
121. #10622461C22semidirect
122. #10622461C22semidirect
124. #10622460C22semidirect
125. #10622460C22semidirect
126. #10622460C22semidirect
127. #10622460C22semidirect
132. #10622458C22semidirect
139. #10622457C22semidirect
146. #10622456C22semidirect
148. #10622454C22semidirect
149. #10622454C22semidirect
150. #10622454C22semidirect
151. #10622454C22semidirect
152. #10622442C22semidirect
153. #10622442C22semidirect
154. #10622442C22semidirect
155. #10622351C22semidirect
156. #10622351C22semidirect
158. #10622349C22semidirect
168. #10622347C22semidirect
169. #10622347C22semidirect
170. #10622347C22semidirect
173. #10622346C22semidirect
176. #10622336C22semidirect
179. #10622329C22semidirect
180. #10622329C22semidirect
182. #10622327C22semidirect
187. #10622325C22semidirect
189. #10622324C22semidirect
192. #10622323C22semidirect
193. #10622323C22semidirect
194. #10622316C22semidirect
195. C4×Dic44C22semidirect
199. #10622306C22semidirect
201. C4×#4314C22semidirect
202. C4×#4314C22semidirect
737. #2992D11semidirect
999. #446C2×D11semidirect
1000. #446C2×D11semidirect
1016. #435C2×D11semidirect
1018. C8×D4C2×D11semidirect
1020. #433C2×D11semidirect
1021. #432C2×D11semidirect
1023. #424C2×D11semidirect
1024. C2×C4⋊C8C2×D11semidirect
1598. C11#62014semidirect

Maximal subgroups

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

subgroupindex
#130832042
#130826202
#130816602
#130816382
#130814602
#130813862
#130806242
#130806092
#130805942
#130805792
#130805202
#130804682
#130803762
#130803482
#130802062
#130801612
#130800632
#130800552
#130799432
#130796792
#130796682
#130796132
#130788322
#130788172
#130787272
#130781682
#130781572
#130780732
C11×#29922
#6201411