Finite Group Databasebeta

← #15640327

Subgroups — #15640327

Order 2816.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082915C211yesmaximal, characteristic, complemented
2#13082286C211yesmaximal, characteristic, complemented
3#13080956C211yesmaximal, characteristic, complemented
4#13080881C211yesmaximal, characteristic, complemented
5#13080849C211yesmaximal, characteristic, complemented
6#13080814C211yesmaximal, characteristic, complemented
7#13080702C211yesmaximal, characteristic, complemented
8#13080687C211yesmaximal, characteristic, complemented
9#13080634C211yesmaximal, characteristic, complemented
10#13080619C211yesmaximal, characteristic, complemented
11#13080277C211yesmaximal, characteristic, complemented
12#13080272C211yesmaximal, characteristic, complemented
13#13080249C211yesmaximal, characteristic, complemented
14#13080219C211yesmaximal, characteristic, complemented
15#13080203C211yesmaximal, characteristic, complemented
16#13080166C211yesmaximal, characteristic, complemented
17#13080132C211yesmaximal, characteristic, complemented
18#13080113C211yesmaximal, characteristic, complemented
19#13079712C211yesmaximal, characteristic, complemented
20#13079682C211yesmaximal, characteristic, complemented
21#13079520C211yesmaximal, characteristic, complemented
22#13079505C211yesmaximal, characteristic, complemented
23#13079435C211yesmaximal, characteristic, complemented
24#13079421C211yesmaximal, characteristic, complemented
25#13078878C211yesmaximal, characteristic, complemented
26#13077924C211yesmaximal, characteristic, complemented
27#13077890C211yesmaximal, characteristic, complemented
28#13077873C211yesmaximal, characteristic, complemented
29#13077859C211yesmaximal, characteristic, complemented
30#13077677C211yesmaximal, characteristic, complemented
31C11×#3120C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C11×#541C2211yescharacteristic, complemented
35C11×#520C2211yescharacteristic
36C2×#66972C2211yescharacteristic, complemented
37C2×#66971C2211yescharacteristic, complemented
38C2×#66971C2211yescharacteristic, complemented
39C2×#66971C2211yescharacteristic, complemented
40C2×#66968C2211yescharacteristic, complemented
41C2×#66967C2211yescharacteristic, complemented
42C2×#66967C2211yescharacteristic, complemented
43C2×SD16×D11C2211yescharacteristic, complemented
44#10623258C2211yescharacteristic, complemented
45#10623257C2211yescharacteristic, complemented
46#10623241—21no—
47#10623238—21no—
48#10623235—21no—
49#10623235—21no—
50#10623231—21no—
51#10623230—21no—
52#10623226—21no—
53#10623226C2211yescharacteristic, complemented
54#10623225C2211yescharacteristic, complemented
55#10623221—21no—
56#10623160C2211yescharacteristic, complemented
57#10623159C2211yescharacteristic, complemented
58#10623158C2211yescharacteristic, complemented
59D11×C22⋊Q8C2211yescharacteristic, complemented
60#10623115C2211yescharacteristic, complemented
61#10623110C2211yescharacteristic, complemented
62#10623108C2211yescharacteristic
63#10623108C2211yescharacteristic
64#10623107C2211yescharacteristic
65#10623107C2211yescharacteristic
66#10623107C2211yescharacteristic, complemented
67#10623107C2211yescharacteristic, complemented
68#10623085—21no—
69#10623085—21no—
70#10623085C2211yescharacteristic
71#10623085C2211yescharacteristic
72D4×D44—21no—
73D4×D44—21no—
74D4×D44C2211yescharacteristic
75D4×D44C2211yescharacteristic
76#10623065C2211yescharacteristic, complemented
77#10623056—21no—
78#10623056C2211yescharacteristic
79#10623055—21no—
80#10623055C2211yescharacteristic
81#10623041—21no—
82#10623041C2211yescharacteristic
83C2×#66948—21no—
84C2×#66948C2211yescharacteristic
85C11×#484C2211yescharacteristic, complemented
86C11×#483C2211yescharacteristic, complemented
87C11×#479C2211yescharacteristic, complemented
88C11×#478C2211yescharacteristic, complemented
89C11×#462C2211yescharacteristic, complemented
90C11×#461C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic
92C11×#452C2211yescharacteristic
93C11×#441C2211yescharacteristic, complemented
94C11×#440C2211yescharacteristic, complemented
95C4×C11×Q16C2211yescharacteristic, complemented
96C4×C11×SD16C2211yescharacteristic, complemented
97C11×#433C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic
99#10622851C2211yescharacteristic
100#10622800C2211yescharacteristic, complemented
101#10622800C2211yescharacteristic, complemented
102#10622800C2211yescharacteristic, complemented
103#10622799C2211yescharacteristic, complemented
104#10622786C2211yescharacteristic, complemented
105#10622782C2211yescharacteristic, complemented
106#10622782C2211yescharacteristic, complemented
107#10622782C2211yescharacteristic, complemented
108#10622699C2211yescharacteristic, complemented
109#10622698C2211yescharacteristic, complemented
110#10622681C2211yescharacteristic, complemented
111#10622680C2211yescharacteristic, complemented
112#10622660C2211yescharacteristic, complemented
113#10622660C2211yescharacteristic, complemented
114#10622659C2211yescharacteristic, complemented
115#10622659C2211yescharacteristic, complemented
116C4×#4326C2211yescharacteristic, complemented
117#10622641C2211yescharacteristic, complemented
118#10622641C2211yescharacteristic, complemented
119#10622641C2211yescharacteristic, complemented
120#10622640C2211yescharacteristic, complemented
121#10622640C2211yescharacteristic, complemented
122#10622639C2211yescharacteristic, complemented
123#10622634C2211yescharacteristic, complemented
124#10622631C2211yescharacteristic, complemented
125#10622629C2211yescharacteristic, complemented
126C4×#4323C2211yescharacteristic, complemented
127#10622620C2211yescharacteristic, complemented
128#10622613C2211yescharacteristic, complemented
129#10622583C2211yescharacteristic, complemented
130#10622580C2211yescharacteristic, complemented
131#10622499C2211yescharacteristic, complemented
132#10622499C2211yescharacteristic, complemented
133#10622499C2211yescharacteristic, complemented
134#10622497C2211yescharacteristic, complemented
135#10622496C2211yescharacteristic, complemented
136#10622495C2211yescharacteristic, complemented
137#10622495C2211yescharacteristic, complemented
138#10622495C2211yescharacteristic, complemented
139#10622481C2211yescharacteristic, complemented
140#10622480C2211yescharacteristic, complemented
141#10622479C2211yescharacteristic, complemented
142#10622479C2211yescharacteristic, complemented
143#10622479C2211yescharacteristic, complemented
144#10622478C2211yescharacteristic, complemented
145#10622478C2211yescharacteristic, complemented
146#10622477C2211yescharacteristic, complemented
147#10622461C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic, complemented
150#10622456C2211yescharacteristic, complemented
151#10622451C2211yescharacteristic, complemented
152#10622451C2211yescharacteristic, complemented
153#10622449C2211yescharacteristic, complemented
154#10622449C2211yescharacteristic, complemented
155#10622426C2211yescharacteristic, complemented
156#10622426C2211yescharacteristic, complemented
157#10622425C2211yescharacteristic, complemented
158#10622425C2211yescharacteristic, complemented
159#10622425C2211yescharacteristic, complemented
160#10622425C2211yescharacteristic, complemented
161#10622425C2211yescharacteristic, complemented
162#10622425C2211yescharacteristic, complemented
163#10622424C2211yescharacteristic, complemented
164#10622424C2211yescharacteristic, complemented
165#10622424C2211yescharacteristic, complemented
166#10622424C2211yescharacteristic, complemented
167#10622424C2211yescharacteristic, complemented
168#10622423C2211yescharacteristic, complemented
169#10622423C2211yescharacteristic, complemented
170#10622421C2211yescharacteristic, complemented
171#10622421C2211yescharacteristic, complemented
172#10622419C2211yescharacteristic, complemented
173#10622419C2211yescharacteristic, complemented
174#10622419C2211yescharacteristic, complemented
175#10622417C2211yescharacteristic, complemented
176#10622416C2211yescharacteristic, complemented
177#10622416C2211yescharacteristic, complemented
178#10622415C2211yescharacteristic, complemented
179#10622394C2211yescharacteristic, complemented
180#10622389C2211yescharacteristic, complemented
181#10622389C2211yescharacteristic, complemented
182#10622386C2211yescharacteristic, complemented
183#10622384C2211yescharacteristic, complemented
184#10622383C2211yescharacteristic, complemented
185#10622383C2211yescharacteristic, complemented
186D11×#102C2211yescharacteristic, complemented
187#10622347C2211yescharacteristic, complemented
188#10622346C2211yescharacteristic, complemented
189#10622345C2211yescharacteristic, complemented
190#10622344C2211yescharacteristic, complemented
191#10622340C2211yescharacteristic, complemented
192#10622340C2211yescharacteristic, complemented
193#10622339C2211yescharacteristic, complemented
194#10622339C2211yescharacteristic, complemented
195#10622327C2211yescharacteristic, complemented
196#10622325C2211yescharacteristic, complemented
197#10622319C2211yescharacteristic, complemented
198#10622319C2211yescharacteristic, complemented
199#10622309C2211yescharacteristic, complemented
200#10622307C2211yescharacteristic, complemented
201#10622301C2211yescharacteristic, complemented
202#10622301C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204#67042—42no—
205#67042—42no—
206#41×D11—42no—
207#41×D11—42no—
208C2×#4343C2311yescharacteristic
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×Q8×D11C2311yescharacteristic
215C2×Q8×D11C2311yescharacteristic
216C2×#4341—21no—
217C2×#4341C2311yescharacteristic
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11C2311yescharacteristic
222C2×D4×D11C2311yescharacteristic
223C2×D4×D11C2311yescharacteristic
224C2×#4339—21no—
225C2×#4339—21no—
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C22×D44—21no—
229C22×D44—21no—
230C22×D44—21no—
231C22×D44—21no—
232C22×D44C2311yescharacteristic
233C22×C4×D11—21no—
234C22×C4×D11C2311yescharacteristic
235C2×C11×Q16C2311yescharacteristic
236C2×C11×Q16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×SD16C2311yescharacteristic
239C11×C4⋊Q8C2311yescharacteristic
240C11×#126—21no—
241C11×#126—21no—
242C11×#125—21no—
243C11×#125—21no—
244C11×#125C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C4×Q8×C11C2311yescharacteristic
248C4×Q8×C11C2311yescharacteristic
249C4×Q8×C11C2311yescharacteristic
250C4×Q8×C11C2311yescharacteristic
251C4×D4×C11—21no—
252C4×D4×C11—21no—
253C4×D4×C11C2311yescharacteristic
254C4×D4×C11C2311yescharacteristic
255C11×#117—21no—
256C11×#117C2311yescharacteristic
257C2×C11×C4⋊C4—21no—
258C2×C11×C4⋊C4C2311yescharacteristic
259#66999C2311yescharacteristic
260#66999C2311yescharacteristic
261#66999C2311yescharacteristic
262#66999C2311yescharacteristic
263C2×#4326C2311yescharacteristic
264C2×#4326C2311yescharacteristic
265C2×#4326C2311yescharacteristic
266C2×#4325C2311yescharacteristic
267C2×#4325C2311yescharacteristic
268C2×#4325C2311yescharacteristic
269C2×#4325C2311yescharacteristic
270C2×#4325C2311yescharacteristic
271C2×#4325C2311yescharacteristic
272C2×#4325C2311yescharacteristic
273C2×#4324C2311yescharacteristic
274C2×#4323C2311yescharacteristic
275#66983—21no—
276#66983—21no—
277#66983—21no—
278#66983—21no—
279#66983—21no—
280#66983—21no—
281#66983C2311yescharacteristic
282C2×(C2×D11)⋊C4—21no—
283C2×(C2×D11)⋊C4—21no—
284C2×(C2×D11)⋊C4—21no—
285#66977C2311yescharacteristic
286#66972—42no—
287#66971—42no—
288#66971—42no—
289#66971—42no—
290#66968—42no—
291#66967—42no—
292#66967—42no—
293SD16×D11—42no—
294C2×Dic44C2311yescharacteristic
295C2×D88C2311yescharacteristic
296C2×D88C2311yescharacteristic
297C2×D88C2311yescharacteristic
298C2×#4314C2311yescharacteristic
299C2×#4314C2311yescharacteristic
300C2×#4314C2311yescharacteristic
301C2×#4314C2311yescharacteristic
302C2×#4313C2311yescharacteristic
303C2×#4313C2311yescharacteristic
304C2×#4313C2311yescharacteristic
305C2×#4313C2311yescharacteristic
306C2×#4313C2311yescharacteristic
307C2×#4313C2311yescharacteristic
308C2×C8×D11C2311yescharacteristic
309C2×C8×D11C2311yescharacteristic
310#66951—21no—
311#66951—21no—
312#66951—21no—
313#66951—21no—
314#66951—21no—
315#66950—21no—
316#66950—21no—
317#66950—21no—
318#66950—21no—
319#66950—21no—
320#66950D411yescharacteristic
321#66950D411yescharacteristic
322#66950C2311yescharacteristic
323#66950C2311yescharacteristic
324#66950C2311yescharacteristic
325#66950C2311yescharacteristic
326#66949—21no—
327#66949—21no—
328#66949—21no—
329#66949—21no—
330#66949—21no—
331#66949—21no—
332#66949—21no—
333#66948—21no—
334#66948—21no—
335#66948—21no—
336#66948—21no—
337#66948—21no—
338#66948—21no—
339#66948—21no—
340#66948—21no—
341#66948—21no—
342#66948—21no—
343#66948—21no—
344#66948—21no—
345#66948—21no—
346#66948—21no—
347#66948—21no—
348#66948—21no—
349#66948D411yescharacteristic
350#66948D411yescharacteristic
351#66948C2311yescharacteristic
352#66948C2311yescharacteristic
353#66948C2311yescharacteristic
354#66948C2311yescharacteristic
355#66948C2311yescharacteristic
356#66948C2311yescharacteristic
357#66948C2311yescharacteristic
358#66948C2311yescharacteristic
359#66947—21no—
360#66947—21no—
361#66947—21no—
362#66947—21no—
363#66947—21no—
364#66947—21no—
365#66946—21no—
366#66946—21no—
367#66946—21no—
368#66945—21no—
369#66945C2311yescharacteristic
370#66945C2311yescharacteristic
371C4⋊C4×D11—21no—
372C4⋊C4×D11—21no—
373C4⋊C4×D11C2311yescharacteristic
374C4⋊C4×D11C2311yescharacteristic
375#66943—21no—
376#66941—21no—
377#66941—21no—
378#66939—21no—
379#66939—21no—
380#66939D411yescharacteristic
381#66939D411yescharacteristic
382#66938—21no—
383#66938—21no—
384#66937—21no—
385#66937—21no—
386#66936—21no—
387#66936—21no—
388#66935—21no—
389#66935—21no—
390#66935—21no—
391#66935—21no—
392#66935—21no—
393#66935—21no—
394#66935—21no—
395#66935—21no—
396#66935—21no—
397#66935D411yescharacteristic
398#66935D411yescharacteristic
399(C22⋊D11)⋊C4—21no—
400C22⋊C4×D11—21no—
401#66931—21no—
402#66928—21no—
403#66928—21no—
404#66928—21no—
405#66928—21no—
406#66928—21no—
407#66928C2311yescharacteristic
408#66928C2311yescharacteristic
409#66928C2311yescharacteristic
410#66927—21no—
411#66927—21no—
412#66927C2311yescharacteristic
413#66927C2311yescharacteristic
414C4×D44—21no—
415C4×D44—21no—
416C4×D44—21no—
417C4×D44—21no—
418C4×D44—21no—
419C4×D44—21no—
420C4×D44—21no—
421C4×D44C2311yescharacteristic
422C4×D44C2311yescharacteristic
423C4×D44C2311yescharacteristic
424C4×D44C2311yescharacteristic
425C4×D44C2311yescharacteristic
426#66923—21no—
427#66922C2311yescharacteristic
428C4×Dic22—21no—
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#107C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×#106C2311yescharacteristic
434C11×C4⋊C8C2311yescharacteristic
435C11×C4⋊C8C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#103C2311yescharacteristic
441C11×#103C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×#97C2311yescharacteristic
447C4×C8×C11C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466(C2×D11)⋊C8C2311yescharacteristic
467(C2×D11)⋊C8C2311yescharacteristic
468#66880C2311yescharacteristic
469#66880C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485#66871C2311yescharacteristic
486C4⋊(C11⋊C8)C2311yescharacteristic
487C4⋊(C11⋊C8)C2311yescharacteristic
488#66867C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61654—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C23×D11C2×D411yescharacteristic
496C11×#41—22no—
497C11×#41—22no—
498C2×Q8×C11C2411yescharacteristic
499C2×Q8×C11C2411yescharacteristic
500C2×Q8×C11C2411yescharacteristic
501C2×D4×C11—21no—
502C2×D4×C11C2411yescharacteristic
503C22×C4×C11—21no—
504C22×C4×C11—21no—
505C22×C4×C11—21no—
506C22×C4×C11—21no—
507C22×C4×C11C2411yescharacteristic
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11C2×D411yescharacteristic
515C2×C22⋊D11C2×D411yescharacteristic
516C22×Dic11—21no—
517C22×Dic11C2×D411yescharacteristic
518#4343—22no—
519#4343—22no—
520#4343—22no—
521#4343—41no—
522#4343—41no—
523#4343—41no—
524#4343—41no—
525#4343—41no—
526#4343—41no—
527#4343—41no—
528Q8×D11—22no—
529Q8×D11—41no—
530Q8×D11—41no—
531Q8×D11—41no—
532Q8×D11—41no—
533Q8×D11—41no—
534#4341—22no—
535#4341—41no—
536#4341—44no—
537D4×D11—22no—
538D4×D11—22no—
539D4×D11—22no—
540D4×D11—41no—
541D4×D11—41no—
542D4×D11—41no—
543D4×D11—44no—
544D4×D11—44no—
545D4×D11—44no—
546#4339—41no—
547#4339—41no—
548#4339—41no—
549#4339—41no—
550#4339—44no—
551#4339—44no—
552C2×D44—21no—
553C2×D44—21no—
554C2×D44—21no—
555C2×D44—21no—
556C2×D44—21no—
557C2×D44—21no—
558C2×D44—21no—
559C2×D44—21no—
560C2×D44—21no—
561C2×D44—21no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—41no—
571C2×D44—41no—
572C2×D44—44no—
573C2×D44—82no—
574C2×D44—82no—
575C2×D44—82no—
576C2×D44C2×D411yescharacteristic
577C2×D44C2×D411yescharacteristic
578C2×D44C2×D411yescharacteristic
579C2×D44C2×D411yescharacteristic
580C2×D44C2×D411yescharacteristic
581C2×D44C2411yescharacteristic
582C2×D44C2411yescharacteristic
583C2×D44C2411yescharacteristic
584C2×D44C2411yescharacteristic
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11—21no—
595C2×C4×D11—21no—
596C2×C4×D11—21no—
597C2×C4×D11—41no—
598C2×C4×D11—41no—
599C2×C4×D11—44no—
600C2×C4×D11C2×D411yescharacteristic
601C2×C4×D11C2×D411yescharacteristic
602C2×C4×D11C2411yescharacteristic
603C2×C4×D11C2411yescharacteristic
604C2×C4×D11C2411yescharacteristic
605C2×C4×D11C2411yescharacteristic
606C2×Dic22—21no—
607C2×Dic22—21no—
608C2×Dic22—21no—
609C2×Dic22—21no—
610C2×Dic22C2×D411yescharacteristic
611C2×Dic22C2411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×Q16—22no—
614C11×Q16—22no—
615C11×SD16—22no—
616C11×SD16—22no—
617C2×C8×C11C2411yescharacteristic
618C2×C8×C11C2411yescharacteristic
619C2×C8×C11C2411yescharacteristic
620C2×C8×C11C2411yescharacteristic
621C11×C4⋊C4—21no—
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4—21no—
627C11×C4⋊C4—21no—
628C11×C4⋊C4—21no—
629C11×C4⋊C4—21no—
630C11×C4⋊C4—21no—
631C11×C4⋊C4—21no—
632C11×C4⋊C4C2×D411yescharacteristic
633C11×C4⋊C4C2×D411yescharacteristic
634C11×C4⋊C4C2411yescharacteristic
635C11×C4⋊C4C2411yescharacteristic
636C11×C4⋊C4C2411yescharacteristic
637C11×C4⋊C4C2411yescharacteristic
638C11×C22⋊C4—21no—
639C11×C22⋊C4—21no—
640C11×C22⋊C4—21no—
641C11×C22⋊C4—21no—
642C11×C22⋊C4C2×D411yescharacteristic
643C11×C22⋊C4C2×D411yescharacteristic
644C42×C11—21no—
645C42×C11—21no—
646C42×C11—21no—
647C42×C11—21no—
648C42×C11C2411yescharacteristic
649C42×C11C2411yescharacteristic
650C22⋊Dic11—21no—
651#4326—22no—
652#4326—41no—
653#4326—41no—
654#4325—22no—
655#4325—41no—
656#4325—41no—
657#4325—41no—
658#4325—41no—
659#4325—41no—
660#4325—41no—
661#4324—22no—
662#4323—22no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4—21no—
688(C2×D11)⋊C4—21no—
689(C2×D11)⋊C4C2×D411yescharacteristic
690(C2×D11)⋊C4C2×D411yescharacteristic
691(C2×D11)⋊C4C2×D411yescharacteristic
692(C2×D11)⋊C4C2×D411yescharacteristic
693(C2×D11)⋊C4C2×D411yescharacteristic
694(C2×D11)⋊C4C2×D411yescharacteristic
695(C2×D11)⋊C4C2×D411yescharacteristic
696(C2×D11)⋊C4C2×D411yescharacteristic
697C4⋊Dic11—21no—
698C4⋊Dic11—21no—
699C4⋊Dic11—21no—
700C4⋊Dic11—21no—
701C4⋊Dic11—21no—
702C4⋊Dic11C2×D411yescharacteristic
703C4⋊Dic11C2×D411yescharacteristic
704C4⋊Dic11C2×D411yescharacteristic
705C4⋊Dic11C2×D411yescharacteristic
706C4⋊Dic11C2411yescharacteristic
707C4⋊Dic11C2411yescharacteristic
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715Dic11⋊C4—21no—
716C4×Dic11—21no—
717C4×Dic11—21no—
718C4×Dic11—21no—
719C2×C11⋊C8C2411yescharacteristic
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723Dic44—41no—
724D88—41no—
725D88—41no—
726D88—41no—
727#4314—41no—
728#4314—41no—
729#4314—41no—
730#4314—41no—
731#4313—41no—
732#4313—41no—
733#4313—41no—
734#4313—41no—
735#4313—41no—
736#4313—41no—
737C8×D11—41no—
738C8×D11—41no—
739#3541—111no—
740#3488—111no—
741#3333—111no—
742#3327—111no—
743#3324—111no—
744#3322—111no—
745#3314—111no—
746#3313—111no—
747#3310—111no—
748#3309—111no—
749#3278—111no—
750#3277—111no—
751#3275—111no—
752#3272—111no—
753#3271—111no—
754#3269—111no—
755#3266—111no—
756#3265—111no—
757#3224—111no—
758#3222—111no—
759#3203—111no—
760#3201—111no—
761#3194—111no—
762#3193—111no—
763#3124—111no—
764#3120D1111yescharacteristic, complemented
765#3012—111no—
766#3009—111no—
767#3007—111no—
768#3005—111no—
769#2978—111no—
770C23×C11—21no—
771C23×C11C22×D411yescharacteristic
772C22×D11—21no—
773C22×D11—21no—
774C22×D11—21no—
775C22×D11—21no—
776C22×D11—41no—
777C22×D11—41no—
778C22×D11—41no—
779C22×D11—42no—
780C22×D11—42no—
781C22×D11—42no—
782C22×D11—42no—
783C22×D11—42no—
784C22×D11—81no—
785C22×D11—81no—
786C22×D11—81no—
787C22×D11—81no—
788C22×D11—81no—
789C22×D11—81no—
790C22×D11—81no—
791C22×D11C22×D411yescharacteristic
792C22×D11C22×D411yescharacteristic
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—21no—
799Q8×C11—21no—
800Q8×C11H(5,𝔽2)12yes—
801D4×C11—24no—
802D4×C11—21no—
803D4×C11H(5,𝔽2)12yes—
804C2×C4×C11—24no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—81no—
815C2×C4×C11—81no—
816C2×C4×C11—81no—
817C2×C4×C11C22×D411yescharacteristic
818C2×C4×C11C22×D411yescharacteristic
819C2×C4×C11C22×D411yescharacteristic
820C2×C4×C11C22×D411yescharacteristic
821C2×C4×C11C22×D411yescharacteristic
822C2×C4×C11C2511yescharacteristic
823C22⋊D11—41no—
824C22⋊D11—41no—
825C22⋊D11—42no—
826C22⋊D11—42no—
827C22⋊D11—42no—
828C22⋊D11—42no—
829C22⋊D11—42no—
830C22⋊D11—81no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—41no—
836C2×Dic11—42no—
837C2×Dic11C22×D411yescharacteristic
838C2×Dic11C22×D411yescharacteristic
839C2×Dic11C22×D411yescharacteristic
840C2×Dic11C22×D411yescharacteristic
841D44—21no—
842D44—21no—
843D44—21no—
844D44—21no—
845D44—21no—
846D44—21no—
847D44—21no—
848D44—21no—
849D44—41no—
850D44—41no—
851D44—41no—
852D44—41no—
853D44—41no—
854D44—42no—
855D44—42no—
856D44—42no—
857D44—42no—
858D44—42no—
859D44—42no—
860D44—42no—
861D44—81no—
862D44—81no—
863D44—81no—
864D44—81no—
865D44—81no—
866D44—81no—
867D44—81no—
868D44—81no—
869D44—81no—
870D44—81no—
871D44—81no—
872C4×D11—21no—
873C4×D11—21no—
874C4×D11—21no—
875C4×D11—21no—
876C4×D11—21no—
877C4×D11—21no—
878C4×D11—21no—
879C4×D11—21no—
880C4×D11—41no—
881C4×D11—41no—
882C4×D11—42no—
883C4×D11—42no—
884C4×D11—42no—
885C4×D11—42no—
886C4×D11—42no—
887C4×D11—81no—
888C4×D11—81no—
889C4×D11—81no—
890C4×D11—81no—
891C4×D11—81no—
892C4×D11—81no—
893C4×D11—81no—
894Dic22—21no—
895Dic22—21no—
896Dic22—21no—
897Dic22—21no—
898Dic22—41no—
899Dic22—42no—
900Dic22—81no—
901Dic22—81no—
902Dic22—81no—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C8×C11—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C11⋊C8—21no—
911C2×H(5,𝔽2)—111no—
912C22×#41—111no—
913C2×#137—111no—
914C2×#137—111no—
915C2×#137—111no—
916C2×#137—111no—
917C2×AGL(1,ℤ/8)—111no—
918C2×AGL(1,ℤ/8)—111no—
919C2×#135—111no—
920C22×SD16—111no—
921#563—221no—
922#562—221no—
923#556—111no—
924#554—111no—
925#554—221no—
926#553—111no—
927#553—221no—
928#552—111no—
929#550—111no—
930#550—111no—
931D4×Q8—111no—
932#548—111no—
933#548—111no—
934#548—111no—
935#548—111no—
936#547—111no—
937#546—111no—
938#546—111no—
939#546—221no—
940#546—221no—
941D42—111no—
942D42—111no—
943D42—221no—
944D42—221no—
945#542—111no—
946#542—221no—
947#541C2×D1111yescharacteristic, complemented
948#539—221no—
949#538—221no—
950#538—221no—
951#537—111no—
952#537—111no—
953#537—221no—
954#536—111no—
955#535—111no—
956#535—221no—
957#525—111no—
958#525—111no—
959#525—221no—
960C2×C22⋊Q8—111no—
961C2×#121—111no—
962C2×#121—221no—
963#520C2×D1111yescharacteristic
964#497—111no—
965#496—111no—
966#495—111no—
967#492—111no—
968#490—111no—
969#489—111no—
970#488—111no—
971#486—111no—
972#485—111no—
973#484—111no—
974#484—111no—
975#484C2×D1111yescharacteristic, complemented
976#483C2×D1111yescharacteristic, complemented
977#482—111no—
978#482—111no—
979#482—111no—
980#480—111no—
981#480—111no—
982#480—111no—
983#480—111no—
984#479C2×D1111yescharacteristic, complemented
985#478C2×D1111yescharacteristic, complemented
986#477—111no—
987#474—111no—
988#470—111no—
989#469—111no—
990#469—111no—
991#468—111no—
992#468—111no—
993#468—111no—
994#468—111no—
995#468—111no—
996#468—111no—
997#468—111no—
998#468—111no—
999#468—111no—
1000#467—111no—
1001#467—111no—
1002#466—111no—
1003#465—111no—
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#464—111no—
1008#463—111no—
1009#463—111no—
1010#462C2×D1111yescharacteristic, complemented
1011#461C2×D1111yescharacteristic, complemented
1012#460—111no—
1013#460—111no—
1014#460—111no—
1015#459—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#452—111no—
1020#452—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452—111no—
1026#452C2×D1111yescharacteristic
1027#452C2×D1111yescharacteristic
1028#451—111no—
1029#451—111no—
1030#451—111no—
1031#450—111no—
1032#450—111no—
1033#450—111no—
1034#450—111no—
1035#450—111no—
1036#450—111no—
1037#450—111no—
1038#450—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449—111no—
1044#449—111no—
1045#449—111no—
1046#449—111no—
1047#448—111no—
1048#448—111no—
1049#448—111no—
1050#447—111no—
1051#447—111no—
1052#441C2×D1111yescharacteristic, complemented
1053#440—111no—
1054#440—111no—
1055#440C2×D1111yescharacteristic, complemented
1056C4×Q16—111no—
1057C4×Q16C2×D1111yescharacteristic, complemented
1058C4×SD16C2×D1111yescharacteristic, complemented
1059C4×D8—111no—
1060#436—111no—
1061#436—111no—
1062#436—111no—
1063#436—111no—
1064#435—111no—
1065#435—111no—
1066#435—111no—
1067#435—111no—
1068#433—111no—
1069#433C2×D1111yescharacteristic, complemented
1070#419—111no—
1071#418—111no—
1072#418—111no—
1073#417—111no—
1074#417—111no—
1075#417—111no—
1076#416—111no—
1077C2×#102—111no—
1078#408—111no—
1079#408—111no—
1080#407—111no—
1081#407—111no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—22no—
1086C22×C11—41no—
1087C22×C11—41no—
1088C22×C11C23×D411yescharacteristic
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—21no—
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—21no—
1099C2×D11—21no—
1100C2×D11—21no—
1101C2×D11—41no—
1102C2×D11—41no—
1103C2×D11—41no—
1104C2×D11—41no—
1105C2×D11—41no—
1106C2×D11—41no—
1107C2×D11—41no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—41no—
1113C2×D11—82no—
1114C2×D11—84no—
1115C2×D11—162no—
1116C2×D11—162no—
1117C2×D11—162no—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—21no—
1122C4×C11—21no—
1123C4×C11—22no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11—41no—
1127C4×C11—41no—
1128C4×C11—41no—
1129C4×C11—41no—
1130C4×C11C2×H(5,𝔽2)11yescharacteristic
1131C4×C11C2×H(5,𝔽2)11yescharacteristic
1132Dic11—21no—
1133Dic11—21no—
1134Dic11—21no—
1135Dic11—21no—
1136Dic11—41no—
1137Dic11—41no—
1138Dic11—41no—
1139Dic11—41no—
1140H(5,𝔽2)—442no—
1141H(5,𝔽2)—442no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—111no—
1148C2×#41—111no—
1149C2×#41—111no—
1150C2×#41—221no—
1151C2×#41—221no—
1152C2×#41—221no—
1153C2×#41—442no—
1154C2×#41—442no—
1155C2×#41C22×D1111yescharacteristic
1156C22×Q8—111no—
1157C22×Q8—111no—
1158C22×Q8—111no—
1159C22×D4—111no—
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—221no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C22×D4—221no—
1168C22×D4—221no—
1169C22×D4—221no—
1170C23×C4—111no—
1171C23×C4—221no—
1172#137—442no—
1173#137—442no—
1174#137—442no—
1175#137—442no—
1176AGL(1,ℤ/8)—442no—
1177AGL(1,ℤ/8)—442no—
1178#135—442no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16—111no—
1183C2×Q16C22×D1111yescharacteristic
1184C2×Q16C22×D1111yescharacteristic
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—111no—
1194C2×SD16—111no—
1195C2×SD16—111no—
1196C2×SD16—111no—
1197C2×SD16—442no—
1198C2×SD16C22×D1111yescharacteristic
1199C2×SD16C22×D1111yescharacteristic
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8—111no—
1203C2×D8—111no—
1204C2×M16—111no—
1205C2×M16—111no—
1206C2×M16—111no—
1207C2×M16—111no—
1208C2×M16—111no—
1209C2×M16—111no—
1210C22×C8—111no—
1211C22×C8—111no—
1212C4⋊Q8—111no—
1213C4⋊Q8—221no—
1214C4⋊Q8—221no—
1215C4⋊Q8C22×D1111yescharacteristic
1216#127—111no—
1217#127—111no—
1218#127—221no—
1219#127—221no—
1220#126—21no—
1221#126—21no—
1222#126—221no—
1223#126—221no—
1224#126—221no—
1225#126—221no—
1226#126—221no—
1227#125—21no—
1228#125—21no—
1229#125—221no—
1230#125—221no—
1231#125C22×D1111yescharacteristic
1232#124—111no—
1233#124—111no—
1234#124—111no—
1235#124—221no—
1236#124—221no—
1237#124—221no—
1238#124—221no—
1239#124—221no—
1240#124—221no—
1241#124—221no—
1242#123—111no—
1243#123—111no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250#123—221no—
1251#123—221no—
1252#123—221no—
1253#123—221no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—111no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8—221no—
1277C22⋊Q8—221no—
1278C22⋊Q8C22×D1111yescharacteristic
1279C22⋊Q8C22×D1111yescharacteristic
1280#121—111no—
1281#121—111no—
1282#121—111no—
1283#121—111no—
1284#121—111no—
1285#121—111no—
1286#121—111no—
1287#121—111no—
1288#121—111no—
1289#121—111no—
1290#121—111no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#121—221no—
1299#121—221no—
1300#121—221no—
1301#121—221no—
1302#121—221no—
1303#121—221no—
1304#121—221no—
1305#121—221no—
1306#121—221no—
1307#121—221no—
1308#121—221no—
1309#121—221no—
1310#121—221no—
1311#121—221no—
1312#121—221no—
1313#121—221no—
1314#121—221no—
1315#120—111no—
1316#120—111no—
1317#120—221no—
1318#120—221no—
1319#120—221no—
1320#120—221no—
1321#120—221no—
1322#120—221no—
1323#120—221no—
1324#120—221no—
1325#120—221no—
1326C4×Q8—111no—
1327C4×Q8—221no—
1328C4×Q8C22×D1111yescharacteristic
1329C4×Q8C22×D1111yescharacteristic
1330C4×Q8C22×D1111yescharacteristic
1331C4×Q8C22×D1111yescharacteristic
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—111no—
1335C4×D4—111no—
1336C4×D4—111no—
1337C4×D4—111no—
1338C4×D4—111no—
1339C4×D4—221no—
1340C4×D4—221no—
1341C4×D4—221no—
1342C4×D4—221no—
1343C4×D4—221no—
1344C4×D4—221no—
1345C4×D4—221no—
1346C4×D4—221no—
1347C4×D4—221no—
1348C4×D4—221no—
1349C4×D4—221no—
1350C4×D4C22×D1111yescharacteristic
1351C4×D4C22×D1111yescharacteristic
1352#117—21no—
1353#117—111no—
1354#117—111no—
1355#117—221no—
1356#117C22×D1111yescharacteristic
1357C2×C4⋊C4—21no—
1358C2×C4⋊C4—111no—
1359C2×C4⋊C4—111no—
1360C2×C4⋊C4—221no—
1361C2×C4⋊C4—221no—
1362C2×C4⋊C4C22×D1111yescharacteristic
1363C2×C22⋊C4—221no—
1364C2×C22⋊C4—221no—
1365C2×C22⋊C4—221no—
1366C2×C22⋊C4—221no—
1367#107—111no—
1368#107—111no—
1369#107—111no—
1370#107—111no—
1371#107C22×D1111yescharacteristic
1372#107C22×D1111yescharacteristic
1373#106C22×D1111yescharacteristic
1374#106C22×D1111yescharacteristic
1375C4⋊C8—111no—
1376C4⋊C8—111no—
1377C4⋊C8C22×D1111yescharacteristic
1378C4⋊C8C22×D1111yescharacteristic
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103—111no—
1386#103—111no—
1387#103C22×D1111yescharacteristic
1388#103C22×D1111yescharacteristic
1389#103C22×D1111yescharacteristic
1390#103C22×D1111yescharacteristic
1391#103C22×D1111yescharacteristic
1392#103C22×D1111yescharacteristic
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102—111no—
1405#102—111no—
1406#102—111no—
1407#102—111no—
1408#102—111no—
1409#102C22×D1111yescharacteristic
1410#102C22×D1111yescharacteristic
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8—111no—
1416C22⋊C8—111no—
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8C22×D1111yescharacteristic
1422C22⋊C8C22×D1111yescharacteristic
1423#97—111no—
1424#97C22×D1111yescharacteristic
1425C4×C8—111no—
1426C4×C8C22×D1111yescharacteristic
1427C2×C11—41no—
1428C2×C11—42no—
1429C2×C11#348411yescharacteristic
1430C2×C11#358511yescharacteristic
1431C2×C11#358611yescharacteristic
1432D11—41no—
1433D11—41no—
1434D11—41no—
1435D11—41no—
1436D11—81no—
1437D11—81no—
1438D11—81no—
1439D11—81no—
1440C24—111no—
1441C24—221no—
1442C24—221no—
1443C24—221no—
1444C24—221no—
1445#41—22no—
1446#41—22no—
1447#41—222no—
1448#41—222no—
1449#41—222no—
1450#41—222no—
1451#41—441no—
1452#41—441no—
1453#41—441no—
1454#41—441no—
1455#41—444no—
1456#41—444no—
1457#41—441no—
1458#41—441no—
1459#41—441no—
1460#41—441no—
1461#41—441no—
1462#41—441no—
1463#41—441no—
1464#41—441no—
1465#41—444no—
1466C2×Q8—111no—
1467C2×Q8—111no—
1468C2×Q8—111no—
1469C2×Q8—221no—
1470C2×Q8—221no—
1471C2×Q8—221no—
1472C2×Q8—221no—
1473C2×Q8—222no—
1474C2×Q8—441no—
1475C2×Q8—441no—
1476C2×Q8—441no—
1477C2×Q8—441no—
1478C2×Q8—441no—
1479C2×Q8C23×D1111yescharacteristic
1480C2×Q8C23×D1111yescharacteristic
1481C2×Q8C23×D1111yescharacteristic
1482C2×D4—21no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—111no—
1486C2×D4—111no—
1487C2×D4—111no—
1488C2×D4—111no—
1489C2×D4—111no—
1490C2×D4—111no—
1491C2×D4—111no—
1492C2×D4—111no—
1493C2×D4—111no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—221no—
1503C2×D4—221no—
1504C2×D4—221no—
1505C2×D4—221no—
1506C2×D4—221no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—222no—
1511C2×D4—222no—
1512C2×D4—222no—
1513C2×D4—221no—
1514C2×D4—221no—
1515C2×D4—221no—
1516C2×D4—221no—
1517C2×D4—221no—
1518C2×D4—221no—
1519C2×D4—221no—
1520C2×D4—221no—
1521C2×D4—441no—
1522C2×D4—441no—
1523C2×D4—444no—
1524C2×D4—441no—
1525C2×D4—441no—
1526C2×D4—441no—
1527C2×D4—444no—
1528C2×D4—444no—
1529C2×D4—444no—
1530C2×D4—882no—
1531C2×D4—882no—
1532C2×D4—882no—
1533C2×D4C23×D1111yescharacteristic
1534C22×C4—21no—
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—111no—
1539C22×C4—111no—
1540C22×C4—111no—
1541C22×C4—111no—
1542C22×C4—111no—
1543C22×C4—111no—
1544C22×C4—111no—
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—441no—
1559C22×C4—441no—
1560C22×C4—444no—
1561C22×C4C23×D1111yescharacteristic
1562Q16—22no—
1563Q16—22no—
1564Q16—222no—
1565Q16—441no—
1566Q16—441no—
1567Q16—441no—
1568SD16—22no—
1569SD16—22no—
1570SD16—222no—
1571SD16—222no—
1572SD16—441no—
1573SD16—441no—
1574SD16—441no—
1575SD16—441no—
1576SD16—441no—
1577SD16—441no—
1578SD16—441no—
1579SD16—441no—
1580SD16—441no—
1581SD16—441no—
1582D8—222no—
1583D8—441no—
1584D8—441no—
1585D8—441no—
1586M16—441no—
1587M16—441no—
1588M16—441no—
1589M16—441no—
1590M16—441no—
1591M16—441no—
1592C2×C8—111no—
1593C2×C8—111no—
1594C2×C8—111no—
1595C2×C8—111no—
1596C2×C8—441no—
1597C2×C8—441no—
1598C2×C8C23×D1111yescharacteristic
1599C2×C8C23×D1111yescharacteristic
1600C2×C8C23×D1111yescharacteristic
1601C2×C8C23×D1111yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—111no—
1614C4⋊C4—111no—
1615C4⋊C4—111no—
1616C4⋊C4—111no—
1617C4⋊C4—111no—
1618C4⋊C4—111no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4—221no—
1625C4⋊C4—221no—
1626C4⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4—221no—
1630C4⋊C4—221no—
1631C4⋊C4—221no—
1632C4⋊C4D4×D1111yescharacteristic
1633C4⋊C4D4×D1111yescharacteristic
1634C4⋊C4C23×D1111yescharacteristic
1635C4⋊C4C23×D1111yescharacteristic
1636C4⋊C4C23×D1111yescharacteristic
1637C4⋊C4C23×D1111yescharacteristic
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—111no—
1643C22⋊C4—111no—
1644C22⋊C4—111no—
1645C22⋊C4—111no—
1646C22⋊C4—111no—
1647C22⋊C4—111no—
1648C22⋊C4—111no—
1649C22⋊C4—111no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4—221no—
1676C22⋊C4—221no—
1677C22⋊C4D4×D1111yescharacteristic
1678C22⋊C4D4×D1111yescharacteristic
1679C42—21no—
1680C42—21no—
1681C42—21no—
1682C42—21no—
1683C42—221no—
1684C42—221no—
1685C42—221no—
1686C42C23×D1111yescharacteristic
1687C42C23×D1111yescharacteristic
1688C11#6165411yescharacteristic, complemented, Sylow
1689C23—21no—
1690C23—111no—
1691C23—111no—
1692C23—111no—
1693C23—111no—
1694C23—221no—
1695C23—221no—
1696C23—221no—
1697C23—221no—
1698C23—441no—
1699C23—441no—
1700C23—441no—
1701C23—442no—
1702C23—442no—
1703C23—442no—
1704C23—442no—
1705C23—442no—
1706C23—881no—
1707C23—881no—
1708C23—881no—
1709C23—881no—
1710C23—881no—
1711C23—881no—
1712C23—881no—
1713C23C2×D4×D1111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—221no—
1720Q8—221no—
1721Q8—221no—
1722Q8—221no—
1723Q8—441no—
1724Q8—442no—
1725Q8—881no—
1726Q8—881no—
1727Q8—881no—
1728Q8#6704212yes—
1729D4—24no—
1730D4—21no—
1731D4—221no—
1732D4—221no—
1733D4—221no—
1734D4—221no—
1735D4—221no—
1736D4—221no—
1737D4—221no—
1738D4—221no—
1739D4—441no—
1740D4—441no—
1741D4—441no—
1742D4—441no—
1743D4—441no—
1744D4—442no—
1745D4—442no—
1746D4—442no—
1747D4—442no—
1748D4—442no—
1749D4—442no—
1750D4—442no—
1751D4—441no—
1752D4—441no—
1753D4—442no—
1754D4—442no—
1755D4—442no—
1756D4—442no—
1757D4—442no—
1758D4—881no—
1759D4—881no—
1760D4—881no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4—881no—
1765D4—881no—
1766D4—881no—
1767D4—881no—
1768D4—881no—
1769D4—881no—
1770D4#6704212yes—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—81no—
1782C2×C4—81no—
1783C2×C4—81no—
1784C2×C4—111no—
1785C2×C4—111no—
1786C2×C4—111no—
1787C2×C4—111no—
1788C2×C4—221no—
1789C2×C4—221no—
1790C2×C4—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—221no—
1797C2×C4—221no—
1798C2×C4—221no—
1799C2×C4—221no—
1800C2×C4—441no—
1801C2×C4—441no—
1802C2×C4—442no—
1803C2×C4—442no—
1804C2×C4—442no—
1805C2×C4—442no—
1806C2×C4—442no—
1807C2×C4—441no—
1808C2×C4—442no—
1809C2×C4—881no—
1810C2×C4—881no—
1811C2×C4—881no—
1812C2×C4—881no—
1813C2×C4—881no—
1814C2×C4—881no—
1815C2×C4—881no—
1816C2×C4C2×D4×D1111yescharacteristic
1817C2×C4C2×D4×D1111yescharacteristic
1818C2×C4C2×D4×D1111yescharacteristic
1819C2×C4C2×D4×D1111yescharacteristic
1820C2×C4C2×D4×D1111yescharacteristic
1821C2×C4C24×D1111yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—221no—
1827C8—221no—
1828C8—221no—
1829C8—221no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—22no—
1834C22—41no—
1835C22—41no—
1836C22—221no—
1837C22—221no—
1838C22—221no—
1839C22—221no—
1840C22—221no—
1841C22—221no—
1842C22—221no—
1843C22—221no—
1844C22—221no—
1845C22—221no—
1846C22—221no—
1847C22—221no—
1848C22—441no—
1849C22—441no—
1850C22—441no—
1851C22—441no—
1852C22—441no—
1853C22—441no—
1854C22—441no—
1855C22—441no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—882no—
1861C22—884no—
1862C22—1762no—
1863C22—1762no—
1864C22—1762no—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—22no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—221no—
1879C4—221no—
1880C4—221no—
1881C4—221no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4C2×#6704211yescharacteristic
1887C4C2×#6704211yescharacteristic
1888C2—41no—
1889C2—42no—
1890C2—441no—
1891C2—441no—
1892C2—441no—
1893C2—441no—
1894C2—881no—
1895C2—881no—
1896C2—881no—
1897C2—881no—
1898C2#1308224911yescharacteristic
1899C2#1308339411yescharacteristic
1900C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3120C2
socleC22×C11C23×D4
hypercenter#3120D11
hypocenterC11#61654
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3120

Complements

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

NH ≅ G/Ntype
1. #13082915C2semidirect
2. #13082286C2semidirect
3. #13080956C2semidirect
4. #13080881C2semidirect
5. #13080849C2semidirect
6. #13080814C2semidirect
7. #13080702C2semidirect
8. #13080687C2semidirect
9. #13080634C2semidirect
10. #13080619C2semidirect
11. #13080277C2semidirect
12. #13080272C2semidirect
13. #13080249C2semidirect
14. #13080219C2semidirect
15. #13080203C2semidirect
16. #13080166C2semidirect
17. #13080132C2semidirect
18. #13080113C2semidirect
19. #13079712C2semidirect
20. #13079682C2semidirect
21. #13079520C2semidirect
22. #13079505C2semidirect
23. #13079435C2semidirect
24. #13079421C2semidirect
25. #13078878C2semidirect
26. #13077924C2semidirect
27. #13077890C2semidirect
28. #13077873C2semidirect
29. #13077859C2semidirect
30. #13077677C2semidirect
31. C11×#3120C2semidirect
34. C11×#541C22semidirect
36. C2×#66972C22semidirect
37. C2×#66971C22semidirect
38. C2×#66971C22semidirect
39. C2×#66971C22semidirect
40. C2×#66968C22semidirect
41. C2×#66967C22semidirect
42. C2×#66967C22semidirect
43. C2×SD16×D11C22semidirect
44. #10623258C22semidirect
45. #10623257C22semidirect
53. #10623226C22semidirect
54. #10623225C22semidirect
56. #10623160C22semidirect
57. #10623159C22semidirect
58. #10623158C22semidirect
59. D11×C22⋊Q8C22semidirect
60. #10623115C22semidirect
61. #10623110C22semidirect
66. #10623107C22semidirect
67. #10623107C22semidirect
76. #10623065C22semidirect
85. C11×#484C22semidirect
86. C11×#483C22semidirect
87. C11×#479C22semidirect
88. C11×#478C22semidirect
89. C11×#462C22semidirect
90. C11×#461C22semidirect
93. C11×#441C22semidirect
94. C11×#440C22semidirect
95. C4×C11×Q16C22semidirect
96. C4×C11×SD16C22semidirect
97. C11×#433C22semidirect
100. #10622800C22semidirect
101. #10622800C22semidirect
102. #10622800C22semidirect
103. #10622799C22semidirect
104. #10622786C22semidirect
105. #10622782C22semidirect
106. #10622782C22semidirect
107. #10622782C22semidirect
108. #10622699C22semidirect
109. #10622698C22semidirect
110. #10622681C22semidirect
111. #10622680C22semidirect
112. #10622660C22semidirect
113. #10622660C22semidirect
114. #10622659C22semidirect
115. #10622659C22semidirect
116. C4×#4326C22semidirect
117. #10622641C22semidirect
118. #10622641C22semidirect
119. #10622641C22semidirect
120. #10622640C22semidirect
121. #10622640C22semidirect
122. #10622639C22semidirect
123. #10622634C22semidirect
124. #10622631C22semidirect
125. #10622629C22semidirect
126. C4×#4323C22semidirect
127. #10622620C22semidirect
128. #10622613C22semidirect
129. #10622583C22semidirect
130. #10622580C22semidirect
131. #10622499C22semidirect
132. #10622499C22semidirect
133. #10622499C22semidirect
134. #10622497C22semidirect
135. #10622496C22semidirect
136. #10622495C22semidirect
137. #10622495C22semidirect
138. #10622495C22semidirect
139. #10622481C22semidirect
140. #10622480C22semidirect
141. #10622479C22semidirect
142. #10622479C22semidirect
143. #10622479C22semidirect
144. #10622478C22semidirect
145. #10622478C22semidirect
146. #10622477C22semidirect
147. #10622461C22semidirect
148. #10622458C22semidirect
149. #10622457C22semidirect
150. #10622456C22semidirect
151. #10622451C22semidirect
152. #10622451C22semidirect
153. #10622449C22semidirect
154. #10622449C22semidirect
155. #10622426C22semidirect
156. #10622426C22semidirect
157. #10622425C22semidirect
158. #10622425C22semidirect
159. #10622425C22semidirect
160. #10622425C22semidirect
161. #10622425C22semidirect
162. #10622425C22semidirect
163. #10622424C22semidirect
164. #10622424C22semidirect
165. #10622424C22semidirect
166. #10622424C22semidirect
167. #10622424C22semidirect
168. #10622423C22semidirect
169. #10622423C22semidirect
170. #10622421C22semidirect
171. #10622421C22semidirect
172. #10622419C22semidirect
173. #10622419C22semidirect
174. #10622419C22semidirect
175. #10622417C22semidirect
176. #10622416C22semidirect
177. #10622416C22semidirect
178. #10622415C22semidirect
179. #10622394C22semidirect
180. #10622389C22semidirect
181. #10622389C22semidirect
182. #10622386C22semidirect
183. #10622384C22semidirect
184. #10622383C22semidirect
185. #10622383C22semidirect
186. D11×#102C22semidirect
187. #10622347C22semidirect
188. #10622346C22semidirect
189. #10622345C22semidirect
190. #10622344C22semidirect
191. #10622340C22semidirect
192. #10622340C22semidirect
193. #10622339C22semidirect
194. #10622339C22semidirect
195. #10622327C22semidirect
196. #10622325C22semidirect
197. #10622319C22semidirect
198. #10622319C22semidirect
199. #10622309C22semidirect
200. #10622307C22semidirect
201. #10622301C22semidirect
202. #10622301C22semidirect
764. #3120D11semidirect
947. #541C2×D11semidirect
975. #484C2×D11semidirect
976. #483C2×D11semidirect
984. #479C2×D11semidirect
985. #478C2×D11semidirect
1010. #462C2×D11semidirect
1011. #461C2×D11semidirect
1052. #441C2×D11semidirect
1055. #440C2×D11semidirect
1057. C4×Q16C2×D11semidirect
1058. C4×SD16C2×D11semidirect
1069. #433C2×D11semidirect
1688. C11#61654semidirect

Maximal subgroups

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

subgroupindex
#130829152
#130822862
#130809562
#130808812
#130808492
#130808142
#130807022
#130806872
#130806342
#130806192
#130802772
#130802722
#130802492
#130802192
#130802032
#130801662
#130801322
#130801132
#130797122
#130796822
#130795202
#130795052
#130794352
#130794212
#130788782
#130779242
#130778902
#130778732
#130778592
#130776772
C11×#31202
#6165411