Finite Group Databasebeta

← #15639526

Subgroups — #15639526

Order 2816.

2108 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082926C211yesmaximal, characteristic, complemented
2#13082273C211yesmaximal, characteristic, complemented
3#13080939C211yesmaximal, characteristic, complemented
4#13080803C211yesmaximal, characteristic, complemented
5#13080736C211yesmaximal, characteristic, complemented
6#13080619C211yesmaximal, characteristic, complemented
7#13080610C211yesmaximal, characteristic, complemented
8#13080564C211yesmaximal, characteristic, complemented
9#13080517C211yesmaximal, characteristic, complemented
10#13080375C211yesmaximal, characteristic, complemented
11#13080316C211yesmaximal, characteristic, complemented
12#13080244C211yesmaximal, characteristic, complemented
13#13080238C211yesmaximal, characteristic, complemented
14#13080207C211yesmaximal, characteristic, complemented
15#13080163C211yesmaximal, characteristic, complemented
16#13080159C211yesmaximal, characteristic, complemented
17#13080112C211yesmaximal, characteristic, complemented
18#13079717C211yesmaximal, characteristic, complemented
19#13079669C211yesmaximal, characteristic, complemented
20#13079480C211yesmaximal, characteristic, complemented
21#13079469C211yesmaximal, characteristic, complemented
22#13079459C211yesmaximal, characteristic, complemented
23#13079386C211yesmaximal, characteristic, complemented
24#13078909C211yesmaximal, characteristic, complemented
25#13078851C211yesmaximal, characteristic, complemented
26#13077932C211yesmaximal, characteristic, complemented
27#13077903C211yesmaximal, characteristic, complemented
28#13077869C211yesmaximal, characteristic, complemented
29#13077837C211yesmaximal, characteristic, complemented
30#13077660C211yesmaximal, characteristic, complemented
31C11×#3327C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic, complemented
33C2×#67040C2211yescharacteristic, complemented
34C11×#552C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic
36#10623365C2211yescharacteristic, complemented
37C2×#67002C2211yescharacteristic
38#10623348C2211yescharacteristic, complemented
39C22×#4325C2211yescharacteristic, complemented
40C2×#66972C2211yescharacteristic, complemented
41C2×#66972C2211yescharacteristic, complemented
42C2×#66971C2211yescharacteristic, complemented
43C2×#66969C2211yescharacteristic, complemented
44C2×#66961C2211yescharacteristic
45C2×#66961C2211yescharacteristic, complemented
46#10623242—21no—
47#10623235—21no—
48#10623231—21no—
49#10623229—21no—
50#10623229C2211yescharacteristic
51#10623226C2211yescharacteristic, complemented
52#10623208—21no—
53#10623208C2211yescharacteristic, complemented
54#10623205—21no—
55#10623205C2211yescharacteristic, complemented
56#10623185—21no—
57#10623184—21no—
58#10623164—21no—
59#10623164C2211yescharacteristic, complemented
60#10623161C2211yescharacteristic, complemented
61#10623161C2211yescharacteristic, complemented
62#10623160C2211yescharacteristic
63#10623158—21no—
64#10623158C2211yescharacteristic
65#10623158C2211yescharacteristic, complemented
66#10623138—21no—
67#10623138C2211yescharacteristic, complemented
68#10623130—21no—
69#10623130C2211yescharacteristic, complemented
70#10623113C2211yescharacteristic
71#10623108C2211yescharacteristic, complemented
72#10623108C2211yescharacteristic, complemented
73#10623103C2211yescharacteristic, complemented
74#10623084—21no—
75#10623084C2211yescharacteristic
76D4×D44C2211yescharacteristic, complemented
77#10623078—21no—
78#10623078C2211yescharacteristic
79#10623063C2211yescharacteristic, complemented
80#10623058—21no—
81#10623056—21no—
82#10623056C2211yescharacteristic
83#10623038C2211yescharacteristic, complemented
84C2×#66948C2211yescharacteristic
85C11×#488C2211yescharacteristic, complemented
86C11×#484C2211yescharacteristic, complemented
87C11×#482C2211yescharacteristic, complemented
88C11×#479C2211yescharacteristic, complemented
89C11×#470C2211yescharacteristic, complemented
90C11×#468C2211yescharacteristic, complemented
91C11×#464C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic, complemented
93C11×#451C2211yescharacteristic, complemented
94C4×C11×Q16C2211yescharacteristic, complemented
95C11×#436C2211yescharacteristic, complemented
96C11×#419C2211yescharacteristic, complemented
97C11×#417C2211yescharacteristic, complemented
98#10622851C2211yescharacteristic
99#10622840C2211yescharacteristic, complemented
100#10622804C2211yescharacteristic, complemented
101#10622800C2211yescharacteristic, complemented
102#10622800C2211yescharacteristic, complemented
103#10622799C2211yescharacteristic, complemented
104#10622798C2211yescharacteristic, complemented
105#10622789C2211yescharacteristic, complemented
106#10622785C2211yescharacteristic, complemented
107#10622782C2211yescharacteristic, complemented
108#10622748C2211yescharacteristic, complemented
109#10622748C2211yescharacteristic, complemented
110#10622742C2211yescharacteristic, complemented
111#10622741C2211yescharacteristic, complemented
112#10622740C2211yescharacteristic, complemented
113#10622739C2211yescharacteristic, complemented
114#10622680C2211yescharacteristic, complemented
115#10622676C2211yescharacteristic, complemented
116#10622671C2211yescharacteristic, complemented
117#10622670C2211yescharacteristic, complemented
118#10622662C2211yescharacteristic, complemented
119#10622662C2211yescharacteristic, complemented
120#10622661C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622660C2211yescharacteristic, complemented
123#10622659C2211yescharacteristic, complemented
124#10622651C2211yescharacteristic, complemented
125#10622649C2211yescharacteristic, complemented
126#10622643C2211yescharacteristic, complemented
127#10622640C2211yescharacteristic, complemented
128#10622640C2211yescharacteristic, complemented
129#10622639C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622615C2211yescharacteristic, complemented
133#10622581C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622502C2211yescharacteristic, complemented
136#10622498C2211yescharacteristic
137#10622498C2211yescharacteristic, complemented
138#10622496C2211yescharacteristic, complemented
139#10622496C2211yescharacteristic, complemented
140#10622496C2211yescharacteristic, complemented
141#10622495C2211yescharacteristic, complemented
142#10622488C2211yescharacteristic, complemented
143#10622479C2211yescharacteristic, complemented
144#10622479C2211yescharacteristic, complemented
145#10622478C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622461C2211yescharacteristic, complemented
148#10622456C2211yescharacteristic, complemented
149#10622453C2211yescharacteristic, complemented
150#10622449C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622432C2211yescharacteristic, complemented
153#10622430C2211yescharacteristic, complemented
154#10622428C2211yescharacteristic, complemented
155#10622428C2211yescharacteristic, complemented
156#10622424C2211yescharacteristic
157#10622424C2211yescharacteristic
158#10622424C2211yescharacteristic, complemented
159#10622424C2211yescharacteristic, complemented
160#10622424C2211yescharacteristic, complemented
161#10622424C2211yescharacteristic, complemented
162#10622424C2211yescharacteristic, complemented
163#10622424C2211yescharacteristic, complemented
164#10622424C2211yescharacteristic, complemented
165#10622420C2211yescharacteristic, complemented
166#10622420C2211yescharacteristic, complemented
167#10622419C2211yescharacteristic
168#10622419C2211yescharacteristic, complemented
169#10622419C2211yescharacteristic, complemented
170#10622419C2211yescharacteristic, complemented
171#10622419C2211yescharacteristic, complemented
172#10622417C2211yescharacteristic, complemented
173#10622416C2211yescharacteristic, complemented
174D11×#103C2211yescharacteristic, complemented
175#10622411C2211yescharacteristic, complemented
176#10622408C2211yescharacteristic, complemented
177#10622404C2211yescharacteristic, complemented
178#10622401C2211yescharacteristic, complemented
179#10622399C2211yescharacteristic, complemented
180#10622399C2211yescharacteristic, complemented
181#10622395C2211yescharacteristic, complemented
182#10622394C2211yescharacteristic
183#10622394C2211yescharacteristic, complemented
184#10622390C2211yescharacteristic, complemented
185#10622388C2211yescharacteristic, complemented
186#10622386C2211yescharacteristic
187#10622386C2211yescharacteristic, complemented
188#10622386C2211yescharacteristic, complemented
189#10622385C2211yescharacteristic, complemented
190#10622373C2211yescharacteristic, complemented
191#10622347C2211yescharacteristic
192#10622347C2211yescharacteristic, complemented
193#10622345C2211yescharacteristic, complemented
194#10622345C2211yescharacteristic, complemented
195#10622341C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197(C22⋊D11)⋊C8C2211yescharacteristic, complemented
198D11×C22⋊C8C2211yescharacteristic, complemented
199#10622308C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#41×D11—42no—
206#41×D11—42no—
207#67040—42no—
208#67040—42no—
209C2×#4343—21no—
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×#4343C2311yescharacteristic
215C2×Q8×D11—21no—
216C2×Q8×D11C2311yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×#4341—21no—
219C2×#4341C2311yescharacteristic
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11C2311yescharacteristic
223C2×#4339—21no—
224C2×#4339—21no—
225C2×#4339—21no—
226C2×#4339—21no—
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C2×#4339C2311yescharacteristic
230C22×D44—21no—
231C22×D44C2311yescharacteristic
232C22×D44C2311yescharacteristic
233C22×C4×D11—21no—
234C22×C4×D11C2311yescharacteristic
235C2×C11×Q16C2311yescharacteristic
236C2×C11×Q16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×M16C2311yescharacteristic
239C2×C11×M16C2311yescharacteristic
240C11×#126—21no—
241C11×#125—21no—
242C11×#125C2311yescharacteristic
243C11×#124—21no—
244C11×#124C2311yescharacteristic
245C11×#123—21no—
246C11×C22⋊Q8—21no—
247C11×C22⋊Q8C2311yescharacteristic
248C11×C22⋊Q8C2311yescharacteristic
249C11×C22⋊Q8C2311yescharacteristic
250C11×#121—21no—
251C11×#121C2311yescharacteristic
252C4×Q8×C11C2311yescharacteristic
253C4×Q8×C11C2311yescharacteristic
254C4×D4×C11—21no—
255C4×D4×C11C2311yescharacteristic
256C11×#117—21no—
257C11×#117C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259#67002—42no—
260#67000—21no—
261#67000C2311yescharacteristic
262#67000C2311yescharacteristic
263#66999—21no—
264#66999C2311yescharacteristic
265#66999C2311yescharacteristic
266Q8×Dic11C2311yescharacteristic
267C2×#4326C2311yescharacteristic
268C2×#4325—42no—
269C2×#4325C2311yescharacteristic
270C2×#4325C2311yescharacteristic
271C2×#4325C2311yescharacteristic
272C2×#4325C2311yescharacteristic
273C2×#4325C2311yescharacteristic
274C2×#4325C2311yescharacteristic
275C2×#4325C2311yescharacteristic
276C2×#4325C2311yescharacteristic
277#66993—21no—
278#66993—21no—
279#66993—21no—
280#66993—21no—
281#66993C2311yescharacteristic
282#66992—21no—
283#66992D411yescharacteristic
284#66991—21no—
285#66991C2311yescharacteristic
286#66990—21no—
287#66990D411yescharacteristic
288C2×#4323C2311yescharacteristic
289C2×#4323C2311yescharacteristic
290C2×#4323C2311yescharacteristic
291#66983—21no—
292#66983—21no—
293#66983C2311yescharacteristic
294#66983C2311yescharacteristic
295#66983C2311yescharacteristic
296#66983C2311yescharacteristic
297#66982—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11—21no—
300C4×C22⋊D11C2311yescharacteristic
301C4×C22⋊D11C2311yescharacteristic
302C2×(C2×D11)⋊C4—21no—
303C2×#4318C2311yescharacteristic
304C22×C11⋊C8C2311yescharacteristic
305#66972—42no—
306#66972—42no—
307#66971—42no—
308#66969—42no—
309#66961—42no—
310#66961—42no—
311C2×D88C2311yescharacteristic
312C2×D88C2311yescharacteristic
313C2×D88C2311yescharacteristic
314C2×D88C2311yescharacteristic
315C2×D88C2311yescharacteristic
316C2×D88C2311yescharacteristic
317C2×#4314C2311yescharacteristic
318C2×#4314C2311yescharacteristic
319C2×#4314C2311yescharacteristic
320C2×#4313C2311yescharacteristic
321C2×C8×D11C2311yescharacteristic
322C2×C8×D11C2311yescharacteristic
323C2×C8×D11C2311yescharacteristic
324#66951—21no—
325#66949—21no—
326#66949—21no—
327#66949—21no—
328#66949—21no—
329#66949D411yescharacteristic
330#66948—21no—
331#66948—21no—
332#66948—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#66948C2311yescharacteristic
344#66948C2311yescharacteristic
345#66948C2311yescharacteristic
346#66948C2311yescharacteristic
347#66948C2311yescharacteristic
348#66948C2311yescharacteristic
349#66948C2311yescharacteristic
350#66948C2311yescharacteristic
351#66948C2311yescharacteristic
352#66947—21no—
353#66947—21no—
354#66947—21no—
355#66947—21no—
356#66947—21no—
357#66947—21no—
358#66947—21no—
359#66947—21no—
360#66947—21no—
361#66947D411yescharacteristic
362#66946—21no—
363#66946—21no—
364#66946—21no—
365#66946—21no—
366#66946—21no—
367#66946C2311yescharacteristic
368#66946C2311yescharacteristic
369#66945—21no—
370#66945C2311yescharacteristic
371#66945C2311yescharacteristic
372C4⋊C4×D11C2311yescharacteristic
373#66941C2311yescharacteristic
374#66940—21no—
375#66940C2311yescharacteristic
376#66938—21no—
377#66938—21no—
378#66938—21no—
379#66938—21no—
380#66937—21no—
381#66937—21no—
382#66937—21no—
383#66937—21no—
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66937—21no—
388#66937—21no—
389#66937—21no—
390#66937D411yescharacteristic
391#66936D411yescharacteristic
392#66935—21no—
393#66935—21no—
394#66935—21no—
395#66935—21no—
396#66935—21no—
397#66935—21no—
398#66935—21no—
399#66935—21no—
400#66935—21no—
401#66935—21no—
402#66935—21no—
403#66935D411yescharacteristic
404(C22⋊D11)⋊C4—21no—
405(C22⋊D11)⋊C4—21no—
406(C22⋊D11)⋊C4—21no—
407(C22⋊D11)⋊C4—21no—
408C22⋊C4×D11—21no—
409C22⋊C4×D11—21no—
410#66931—21no—
411#66931D411yescharacteristic
412#66929—21no—
413#66928—21no—
414#66928—21no—
415#66928—21no—
416#66927—21no—
417#66927—21no—
418#66927—21no—
419#66927C2311yescharacteristic
420#66927C2311yescharacteristic
421C4×D44—21no—
422C4×D44—21no—
423C4×D44C2311yescharacteristic
424C4×D44C2311yescharacteristic
425#66925—21no—
426#66925—21no—
427#66925C2311yescharacteristic
428C4×Dic22—21no—
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#107C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#103C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C4×C8×C11C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
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#66881C2311yescharacteristic
467#66880C2311yescharacteristic
468#66879C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61616—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11C2×D411yescharacteristic
495C11×#41—22no—
496C11×#41—41no—
497C2×Q8×C11—21no—
498C2×Q8×C11—22no—
499C2×Q8×C11—41no—
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11C2×D411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11C2411yescharacteristic
511C22×C4×C11C2411yescharacteristic
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11C2×D411yescharacteristic
524C2×C22⋊D11C2×D411yescharacteristic
525C2×C22⋊D11C2×D411yescharacteristic
526C2×C22⋊D11C2×D411yescharacteristic
527C22×Dic11—21no—
528C22×Dic11C2×D411yescharacteristic
529#4343—22no—
530#4343—22no—
531#4343—41no—
532#4343—41no—
533#4343—41no—
534#4343—41no—
535#4343—41no—
536#4343—41no—
537#4343—41no—
538#4343—41no—
539#4343—44no—
540Q8×D11—22no—
541Q8×D11—22no—
542Q8×D11—22no—
543Q8×D11—41no—
544Q8×D11—44no—
545#4341—22no—
546#4341—41no—
547#4341—44no—
548D4×D11—41no—
549D4×D11—41no—
550D4×D11—44no—
551D4×D11—82no—
552#4339—22no—
553#4339—22no—
554#4339—41no—
555#4339—41no—
556#4339—41no—
557#4339—41no—
558#4339—44no—
559#4339—44no—
560#4339—44no—
561#4339—82no—
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—21no—
571C2×D44—21no—
572C2×D44—21no—
573C2×D44—21no—
574C2×D44—21no—
575C2×D44—21no—
576C2×D44—21no—
577C2×D44—21no—
578C2×D44—21no—
579C2×D44—21no—
580C2×D44—21no—
581C2×D44—21no—
582C2×D44—41no—
583C2×D44—41no—
584C2×D44—41no—
585C2×D44—41no—
586C2×D44—82no—
587C2×D44C2×D411yescharacteristic
588C2×D44C2×D411yescharacteristic
589C2×D44C2411yescharacteristic
590C2×D44C2411yescharacteristic
591C2×D44C2411yescharacteristic
592C2×D44C2411yescharacteristic
593C2×D44C2411yescharacteristic
594C2×C4×D11—21no—
595C2×C4×D11—21no—
596C2×C4×D11—21no—
597C2×C4×D11—21no—
598C2×C4×D11—21no—
599C2×C4×D11—21no—
600C2×C4×D11—21no—
601C2×C4×D11—21no—
602C2×C4×D11—21no—
603C2×C4×D11—21no—
604C2×C4×D11—21no—
605C2×C4×D11—21no—
606C2×C4×D11—21no—
607C2×C4×D11—41no—
608C2×C4×D11—41no—
609C2×C4×D11—44no—
610C2×C4×D11C2×D411yescharacteristic
611C2×C4×D11C2×D411yescharacteristic
612C2×C4×D11C2411yescharacteristic
613C2×C4×D11C2411yescharacteristic
614C2×C4×D11C2411yescharacteristic
615C2×Dic22—21no—
616C2×Dic22—21no—
617C2×Dic22—21no—
618C2×Dic22C2×D411yescharacteristic
619C2×Dic22C2411yescharacteristic
620C11×Q16—22no—
621C11×Q16—41no—
622C11×SD16—41no—
623C11×M16—41no—
624C11×M16—41no—
625C2×C8×C11C2411yescharacteristic
626C2×C8×C11C2411yescharacteristic
627C2×C8×C11C2411yescharacteristic
628C2×C8×C11C2411yescharacteristic
629C11×C4⋊C4—21no—
630C11×C4⋊C4—21no—
631C11×C4⋊C4—21no—
632C11×C4⋊C4—21no—
633C11×C4⋊C4—21no—
634C11×C4⋊C4—21no—
635C11×C4⋊C4—21no—
636C11×C4⋊C4—21no—
637C11×C4⋊C4C2×D411yescharacteristic
638C11×C4⋊C4C2411yescharacteristic
639C11×C4⋊C4C2411yescharacteristic
640C11×C4⋊C4C2411yescharacteristic
641C11×C4⋊C4C2411yescharacteristic
642C11×C22⋊C4—21no—
643C11×C22⋊C4—21no—
644C11×C22⋊C4—21no—
645C11×C22⋊C4—21no—
646C11×C22⋊C4—21no—
647C11×C22⋊C4—21no—
648C11×C22⋊C4—21no—
649C11×C22⋊C4C2×D411yescharacteristic
650C11×C22⋊C4C2×D411yescharacteristic
651C42×C11—21no—
652C42×C11—21no—
653C42×C11—21no—
654C42×C11C2411yescharacteristic
655C22⋊Dic11—21no—
656C22⋊Dic11C2×D411yescharacteristic
657C22⋊Dic11C2×D411yescharacteristic
658#4326—22no—
659#4325—22no—
660#4325—22no—
661#4325—22no—
662#4325—41no—
663#4325—41no—
664#4325—41no—
665#4325—41no—
666#4325—41no—
667#4323—41no—
668#4323—41no—
669#4323—41no—
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)⋊C4—21no—
690(C2×D11)⋊C4—21no—
691(C2×D11)⋊C4—21no—
692(C2×D11)⋊C4—21no—
693(C2×D11)⋊C4—21no—
694(C2×D11)⋊C4C2×D411yescharacteristic
695(C2×D11)⋊C4C2×D411yescharacteristic
696(C2×D11)⋊C4C2×D411yescharacteristic
697(C2×D11)⋊C4C2×D411yescharacteristic
698(C2×D11)⋊C4C2×D411yescharacteristic
699(C2×D11)⋊C4C2×D411yescharacteristic
700C4⋊Dic11—21no—
701C4⋊Dic11C2×D411yescharacteristic
702C4⋊Dic11C2411yescharacteristic
703C4⋊Dic11C2411yescharacteristic
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4C2×D411yescharacteristic
711Dic11⋊C4C2×D411yescharacteristic
712Dic11⋊C4C2×D411yescharacteristic
713Dic11⋊C4C2×D411yescharacteristic
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11C2411yescharacteristic
720#4318—41no—
721C2×C11⋊C8—41no—
722C2×C11⋊C8C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724C2×C11⋊C8C2411yescharacteristic
725C2×C11⋊C8C2411yescharacteristic
726D88—41no—
727D88—41no—
728D88—41no—
729D88—41no—
730D88—41no—
731D88—41no—
732#4314—22no—
733#4314—22no—
734#4314—22no—
735#4313—41no—
736C8×D11—41no—
737C8×D11—41no—
738C8×D11—41no—
739#3542—111no—
740#3487—111no—
741#3332—111no—
742#3327D1111yescharacteristic, complemented
743#3321—111no—
744#3317—111no—
745#3309—111no—
746#3308—111no—
747#3305—111no—
748#3301—111no—
749#3287—111no—
750#3282—111no—
751#3275—111no—
752#3274—111no—
753#3271—111no—
754#3268—111no—
755#3268—111no—
756#3265—111no—
757#3224—111no—
758#3220—111no—
759#3199—111no—
760#3198—111no—
761#3197—111no—
762#3188—111no—
763#3126—111no—
764#3121—111no—
765#3013—111no—
766#3010—111no—
767#3006—111no—
768#3002—111no—
769#2976—111no—
770C23×C11—21no—
771C23×C11C22×D411yescharacteristic
772C23×C11C22×D411yescharacteristic
773C22×D11—21no—
774C22×D11—21no—
775C22×D11—21no—
776C22×D11—21no—
777C22×D11—21no—
778C22×D11—41no—
779C22×D11—41no—
780C22×D11—41no—
781C22×D11—42no—
782C22×D11—42no—
783C22×D11—81no—
784C22×D11—81no—
785C22×D11—81no—
786C22×D11—81no—
787C22×D11—81no—
788C22×D11—81no—
789C22×D11—81no—
790C22×D11C22×D411yescharacteristic
791C22×D11C22×D411yescharacteristic
792C22×D11C22×D411yescharacteristic
793Q8×C11—21no—
794Q8×C11—21no—
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—42no—
799Q8×C11H(5,𝔽2)12yes—
800D4×C11—21no—
801D4×C11—21no—
802D4×C11—41no—
803D4×C11—42no—
804D4×C11—81no—
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—21no—
815C2×C4×C11—21no—
816C2×C4×C11—42no—
817C2×C4×C11—42no—
818C2×C4×C11—42no—
819C2×C4×C11C22×D411yescharacteristic
820C2×C4×C11C22×D411yescharacteristic
821C2×C4×C11C22×D411yescharacteristic
822C2×C4×C11C22×D411yescharacteristic
823C2×C4×C11C2511yescharacteristic
824C22⋊D11—41no—
825C22⋊D11—41no—
826C22⋊D11—41no—
827C22⋊D11—41no—
828C22⋊D11—42no—
829C22⋊D11—42no—
830C22⋊D11—42no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—81no—
834C22⋊D11—81no—
835C22⋊D11—81no—
836C22⋊D11—81no—
837C22⋊D11—81no—
838C22⋊D11—81no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—41no—
843C2×Dic11—42no—
844C2×Dic11C22×D411yescharacteristic
845C2×Dic11C22×D411yescharacteristic
846C2×Dic11C22×D411yescharacteristic
847C2×Dic11C22×D411yescharacteristic
848C2×Dic11C22×D411yescharacteristic
849D44—21no—
850D44—21no—
851D44—21no—
852D44—21no—
853D44—21no—
854D44—21no—
855D44—21no—
856D44—21no—
857D44—21no—
858D44—21no—
859D44—41no—
860D44—41no—
861D44—42no—
862D44—42no—
863D44—42no—
864D44—81no—
865D44—81no—
866D44—81no—
867D44—81no—
868D44—81no—
869D44—81no—
870D44—81no—
871D44—81no—
872D44—81no—
873D44—81no—
874D44—81no—
875D44—81no—
876D44—81no—
877D44—81no—
878D44—81no—
879D44—81no—
880D44—81no—
881C4×D11—24no—
882C4×D11—21no—
883C4×D11—21no—
884C4×D11—21no—
885C4×D11—21no—
886C4×D11—21no—
887C4×D11—21no—
888C4×D11—41no—
889C4×D11—41no—
890C4×D11—42no—
891C4×D11—42no—
892C4×D11—42no—
893C4×D11—42no—
894C4×D11—42no—
895C4×D11—42no—
896C4×D11—81no—
897C4×D11—81no—
898C4×D11—81no—
899C4×D11—81no—
900C4×D11—81no—
901C4×D11—81no—
902Dic22—24no—
903Dic22—21no—
904Dic22—41no—
905Dic22—42no—
906Dic22—81no—
907Dic22H(5,𝔽2)12yes—
908C8×C11—21no—
909C8×C11—21no—
910C8×C11—21no—
911C8×C11—21no—
912C11⋊C8—21no—
913C11⋊C8—21no—
914C11⋊C8—21no—
915C11⋊C8—21no—
916C2×2−1+4—111no—
917C22×#41—111no—
918C2×#137—111no—
919C2×AGL(1,ℤ/8)—111no—
920C2×AGL(1,ℤ/8)—111no—
921C2×AGL(1,ℤ/8)—111no—
922C2×#135—111no—
923C2×#135—111no—
924C2×#135—111no—
925C22×SD16—111no—
926#562—221no—
927#560—221no—
928#555—111no—
929#553—111no—
930#552C2×D1111yescharacteristic, complemented
931#551—221no—
932#550—111no—
933#550—111no—
934#550—111no—
935#550—111no—
936#550—111no—
937#550—221no—
938#550—221no—
939#548—111no—
940#548—111no—
941#548—111no—
942#548—221no—
943#548—221no—
944#548C2×D1111yescharacteristic
945#547—111no—
946#546—111no—
947#546—111no—
948#546—221no—
949D42—111no—
950#542—111no—
951#540—111no—
952#540—221no—
953#538—221no—
954#537—111no—
955#535—111no—
956#535—111no—
957#535—111no—
958#535—221no—
959#535—221no—
960#535—221no—
961#534—221no—
962#525—111no—
963#525—111no—
964#525—111no—
965#525—221no—
966#525—221no—
967C2×#121—111no—
968#519—111no—
969#496—111no—
970#496—111no—
971#495—111no—
972#493—111no—
973#490—111no—
974#489—111no—
975#488C2×D1111yescharacteristic, complemented
976#486—111no—
977#485—111no—
978#485—111no—
979#484C2×D1111yescharacteristic, complemented
980#482—111no—
981#482—111no—
982#482—111no—
983#482—111no—
984#482—111no—
985#482C2×D1111yescharacteristic, complemented
986#481—111no—
987#481—111no—
988#480—111no—
989#479—111no—
990#479C2×D1111yescharacteristic, complemented
991#477—111no—
992#475—111no—
993#470C2×D1111yescharacteristic, complemented
994#469—111no—
995#469—111no—
996#469—111no—
997#469—111no—
998#468—111no—
999#468—111no—
1000#468C2×D1111yescharacteristic, complemented
1001#466—111no—
1002#466—111no—
1003#466—111no—
1004#466—111no—
1005#466—111no—
1006#465—111no—
1007#465—111no—
1008#465—111no—
1009#464—111no—
1010#464—111no—
1011#464C2×D1111yescharacteristic, complemented
1012#463—111no—
1013#463—111no—
1014#463—111no—
1015#460—111no—
1016#460—111no—
1017#460—111no—
1018#459—111no—
1019#459—111no—
1020#459—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452C2×D1111yescharacteristic, complemented
1026#451—111no—
1027#451C2×D1111yescharacteristic, complemented
1028#450—111no—
1029#450—111no—
1030#449—111no—
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#449—111no—
1035#449—111no—
1036#449—111no—
1037#449—111no—
1038#449—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449—111no—
1044#449—111no—
1045#448—111no—
1046#448—111no—
1047#448—111no—
1048#448—111no—
1049#448—111no—
1050#448—111no—
1051#447—111no—
1052#447—111no—
1053#447—111no—
1054#447—111no—
1055#447—111no—
1056#447—111no—
1057#441—111no—
1058#440—111no—
1059#440—111no—
1060#440—111no—
1061C4×Q16C2×D1111yescharacteristic, complemented
1062C4×SD16—111no—
1063C4×SD16—111no—
1064C4×SD16—111no—
1065#436—111no—
1066#436C2×D1111yescharacteristic, complemented
1067#435—111no—
1068#435—111no—
1069#435—111no—
1070#435—111no—
1071C8×D4—111no—
1072C8×D4—111no—
1073#433—111no—
1074#433—111no—
1075#419C2×D1111yescharacteristic, complemented
1076#417—111no—
1077#417—111no—
1078#417C2×D1111yescharacteristic, complemented
1079#416—111no—
1080#416—111no—
1081#416—111no—
1082C2×#103—111no—
1083#408—111no—
1084#408—111no—
1085#407—111no—
1086C2×C22⋊C8—111no—
1087C22×C11—21no—
1088C22×C11—21no—
1089C22×C11—21no—
1090C22×C11—21no—
1091C22×C11—21no—
1092C22×C11—21no—
1093C22×C11—41no—
1094C22×C11—41no—
1095C22×C11—41no—
1096C22×C11C23×D411yescharacteristic
1097C2×D11—21no—
1098C2×D11—21no—
1099C2×D11—21no—
1100C2×D11—21no—
1101C2×D11—21no—
1102C2×D11—21no—
1103C2×D11—21no—
1104C2×D11—21no—
1105C2×D11—21no—
1106C2×D11—41no—
1107C2×D11—41no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—41no—
1113C2×D11—41no—
1114C2×D11—41no—
1115C2×D11—41no—
1116C2×D11—41no—
1117C2×D11—41no—
1118C2×D11—41no—
1119C2×D11—41no—
1120C2×D11—41no—
1121C2×D11—82no—
1122C2×D11—84no—
1123C2×D11—162no—
1124C2×D11—162no—
1125C4×C11—21no—
1126C4×C11—21no—
1127C4×C11—21no—
1128C4×C11—21no—
1129C4×C11—22no—
1130C4×C11—41no—
1131C4×C11—41no—
1132C4×C11—41no—
1133C4×C11—41no—
1134C4×C11—41no—
1135C4×C11—41no—
1136C4×C11C2×H(5,𝔽2)11yescharacteristic
1137C4×C11C2×H(5,𝔽2)11yescharacteristic
1138Dic11—21no—
1139Dic11—21no—
1140Dic11—21no—
1141Dic11—22no—
1142Dic11—21no—
1143Dic11—21no—
1144Dic11—41no—
1145Dic11—41no—
11462−1+4—442no—
11472−1+4—442no—
1148C2×#41—111no—
1149C2×#41—111no—
1150C2×#41—111no—
1151C2×#41—111no—
1152C2×#41—111no—
1153C2×#41—111no—
1154C2×#41—111no—
1155C2×#41—111no—
1156C2×#41—111no—
1157C2×#41—221no—
1158C2×#41—221no—
1159C2×#41—221no—
1160C2×#41—221no—
1161C2×#41—221no—
1162C2×#41—221no—
1163C2×#41—442no—
1164C2×#41—442no—
1165C2×#41C22×D1111yescharacteristic
1166C22×Q8—111no—
1167C22×Q8—111no—
1168C22×Q8—221no—
1169C22×Q8C22×D1111yescharacteristic
1170C22×D4—111no—
1171C22×D4—111no—
1172C22×D4—111no—
1173C22×D4—221no—
1174C22×D4—221no—
1175C22×D4—221no—
1176C23×C4—111no—
1177C23×C4—221no—
1178#137—442no—
1179AGL(1,ℤ/8)—442no—
1180AGL(1,ℤ/8)—442no—
1181AGL(1,ℤ/8)—442no—
1182#135—442no—
1183#135—442no—
1184#135—442no—
1185C2×Q16—111no—
1186C2×Q16C22×D1111yescharacteristic
1187C2×Q16C22×D1111yescharacteristic
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—111no—
1198C2×SD16—111no—
1199C2×SD16—442no—
1200C2×SD16C22×D1111yescharacteristic
1201C2×D8—111no—
1202C2×D8—111no—
1203C2×D8—111no—
1204C2×D8—111no—
1205C2×D8—111no—
1206C2×D8—111no—
1207C2×D8—111no—
1208C2×D8—111no—
1209C2×D8—111no—
1210C2×M16—111no—
1211C2×M16—111no—
1212C2×M16C22×D1111yescharacteristic
1213C2×M16C22×D1111yescharacteristic
1214C22×C8—111no—
1215C22×C8—111no—
1216C22×C8—111no—
1217C22×C8—111no—
1218C4⋊Q8—111no—
1219#127—111no—
1220#127—111no—
1221#127—111no—
1222#127—221no—
1223#127—221no—
1224#127—221no—
1225#127—221no—
1226#127—221no—
1227#127—221no—
1228#127—221no—
1229#126—21no—
1230#126—221no—
1231#126—221no—
1232#125—21no—
1233#125C22×D1111yescharacteristic
1234#124—21no—
1235#124—111no—
1236#124—111no—
1237#124—221no—
1238#124—221no—
1239#124—221no—
1240#124—221no—
1241#124—221no—
1242#124—221no—
1243#124—221no—
1244#124—221no—
1245#124C22×D1111yescharacteristic
1246#123—21no—
1247#123—111no—
1248#123—111no—
1249#123—221no—
1250#123—221no—
1251#123—221no—
1252#123—221no—
1253#123—221no—
1254#123—221no—
1255#123—221no—
1256#123—221no—
1257#123—221no—
1258#123—221no—
1259C22⋊Q8—21no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8C22×D1111yescharacteristic
1271C22⋊Q8C22×D1111yescharacteristic
1272C22⋊Q8C22×D1111yescharacteristic
1273#121—21no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—111no—
1278#121—111no—
1279#121—111no—
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—221no—
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#121—221no—
1316#121—221no—
1317#121C22×D1111yescharacteristic
1318#120—111no—
1319#120—111no—
1320#120—221no—
1321#120—221no—
1322#120—221no—
1323#120—221no—
1324#120—221no—
1325#120—221no—
1326#120—221no—
1327#120—221no—
1328#120—221no—
1329#120—221no—
1330#120—221no—
1331#120—221no—
1332C4×Q8—111no—
1333C4×Q8—111no—
1334C4×Q8—111no—
1335C4×Q8—221no—
1336C4×Q8—221no—
1337C4×Q8C22×D1111yescharacteristic
1338C4×Q8C22×D1111yescharacteristic
1339C4×D4—21no—
1340C4×D4—111no—
1341C4×D4—111no—
1342C4×D4—111no—
1343C4×D4—111no—
1344C4×D4—111no—
1345C4×D4—111no—
1346C4×D4—221no—
1347C4×D4—221no—
1348C4×D4—221no—
1349C4×D4—221no—
1350C4×D4—221no—
1351C4×D4—221no—
1352C4×D4—221no—
1353C4×D4—221no—
1354C4×D4—221no—
1355C4×D4—221no—
1356C4×D4—221no—
1357C4×D4—221no—
1358C4×D4—221no—
1359C4×D4C22×D1111yescharacteristic
1360#117—21no—
1361#117—111no—
1362#117—111no—
1363#117—111no—
1364#117—221no—
1365#117—221no—
1366#117—221no—
1367#117C22×D1111yescharacteristic
1368C2×C4⋊C4—111no—
1369C2×C4⋊C4C22×D1111yescharacteristic
1370C2×C22⋊C4—221no—
1371C2×C22⋊C4—221no—
1372C2×C22⋊C4—221no—
1373#107—111no—
1374#107—111no—
1375#107C22×D1111yescharacteristic
1376#107C22×D1111yescharacteristic
1377#106—111no—
1378#106—111no—
1379#106—111no—
1380#106C22×D1111yescharacteristic
1381C4⋊C8—111no—
1382C4⋊C8—111no—
1383C4⋊C8—111no—
1384C4⋊C8C22×D1111yescharacteristic
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103—111no—
1390#103—111no—
1391#103—111no—
1392#103C22×D1111yescharacteristic
1393#103C22×D1111yescharacteristic
1394#103C22×D1111yescharacteristic
1395#103C22×D1111yescharacteristic
1396#103C22×D1111yescharacteristic
1397#103C22×D1111yescharacteristic
1398#103C22×D1111yescharacteristic
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#102—111no—
1410#102—111no—
1411#102—111no—
1412#102—111no—
1413#102—111no—
1414#102C22×D1111yescharacteristic
1415#102C22×D1111yescharacteristic
1416#102C22×D1111yescharacteristic
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8—111no—
1422C22⋊C8—111no—
1423C22⋊C8—111no—
1424C22⋊C8—111no—
1425C22⋊C8—111no—
1426C22⋊C8—111no—
1427C22⋊C8C22×D1111yescharacteristic
1428C22⋊C8C22×D1111yescharacteristic
1429#97—111no—
1430#97—111no—
1431C4×C8—111no—
1432C4×C8C22×D1111yescharacteristic
1433C2×C11—41no—
1434C2×C11—41no—
1435C2×C11—81no—
1436C2×C11#348411yescharacteristic
1437C2×C11#358411yescharacteristic
1438C2×C11#358511yescharacteristic
1439D11—41no—
1440D11—41no—
1441D11—41no—
1442D11—81no—
1443D11—81no—
1444D11—81no—
1445D11—81no—
1446D11—81no—
1447C24—111no—
1448C24—221no—
1449C24—221no—
1450C24—221no—
1451#41—22no—
1452#41—41no—
1453#41—222no—
1454#41—222no—
1455#41—222no—
1456#41—222no—
1457#41—222no—
1458#41—441no—
1459#41—441no—
1460#41—441no—
1461#41—441no—
1462#41—444no—
1463#41—444no—
1464#41—444no—
1465#41—441no—
1466#41—441no—
1467#41—441no—
1468#41—441no—
1469#41—441no—
1470#41—444no—
1471#41—441no—
1472#41—441no—
1473#41—441no—
1474#41—441no—
1475#41—444no—
1476#41—882no—
1477C2×Q8—21no—
1478C2×Q8—22no—
1479C2×Q8—41no—
1480C2×Q8—111no—
1481C2×Q8—111no—
1482C2×Q8—221no—
1483C2×Q8—221no—
1484C2×Q8—221no—
1485C2×Q8—222no—
1486C2×Q8—222no—
1487C2×Q8—222no—
1488C2×Q8—441no—
1489C2×Q8—444no—
1490C2×Q8C23×D1111yescharacteristic
1491C2×Q8C23×D1111yescharacteristic
1492C2×Q8C23×D1111yescharacteristic
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—111no—
1496C2×D4—111no—
1497C2×D4—111no—
1498C2×D4—111no—
1499C2×D4—111no—
1500C2×D4—111no—
1501C2×D4—111no—
1502C2×D4—111no—
1503C2×D4—111no—
1504C2×D4—111no—
1505C2×D4—111no—
1506C2×D4—221no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
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—221no—
1522C2×D4—221no—
1523C2×D4—221no—
1524C2×D4—221no—
1525C2×D4—221no—
1526C2×D4—221no—
1527C2×D4—221no—
1528C2×D4—221no—
1529C2×D4—221no—
1530C2×D4—221no—
1531C2×D4—221no—
1532C2×D4—221no—
1533C2×D4—221no—
1534C2×D4—221no—
1535C2×D4—221no—
1536C2×D4—221no—
1537C2×D4—441no—
1538C2×D4—441no—
1539C2×D4—441no—
1540C2×D4—441no—
1541C2×D4—441no—
1542C2×D4—441no—
1543C2×D4—444no—
1544C2×D4—882no—
1545C2×D4—882no—
1546C2×D4D4×D1111yescharacteristic
1547C2×D4C23×D1111yescharacteristic
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—111no—
1552C22×C4—111no—
1553C22×C4—111no—
1554C22×C4—111no—
1555C22×C4—111no—
1556C22×C4—111no—
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—441no—
1572C22×C4—441no—
1573C22×C4—444no—
1574C22×C4C23×D1111yescharacteristic
1575C22×C4C23×D1111yescharacteristic
1576Q16—22no—
1577Q16—41no—
1578Q16—222no—
1579SD16—41no—
1580SD16—222no—
1581SD16—222no—
1582SD16—222no—
1583SD16—222no—
1584SD16—222no—
1585SD16—222no—
1586SD16—441no—
1587SD16—441no—
1588SD16—441no—
1589SD16—441no—
1590SD16—441no—
1591D8—441no—
1592D8—441no—
1593D8—441no—
1594D8—441no—
1595D8—441no—
1596D8—441no—
1597D8—441no—
1598D8—441no—
1599D8—441no—
1600M16—41no—
1601M16—41no—
1602M16—441no—
1603M16—441no—
1604C2×C8—111no—
1605C2×C8—111no—
1606C2×C8—111no—
1607C2×C8—111no—
1608C2×C8—441no—
1609C2×C8—441no—
1610C2×C8—441no—
1611C2×C8—441no—
1612C2×C8C23×D1111yescharacteristic
1613C2×C8C23×D1111yescharacteristic
1614C2×C8C23×D1111yescharacteristic
1615C2×C8C23×D1111yescharacteristic
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—21no—
1624C4⋊C4—111no—
1625C4⋊C4—111no—
1626C4⋊C4—111no—
1627C4⋊C4—111no—
1628C4⋊C4—111no—
1629C4⋊C4—111no—
1630C4⋊C4—111no—
1631C4⋊C4—221no—
1632C4⋊C4—221no—
1633C4⋊C4—221no—
1634C4⋊C4—221no—
1635C4⋊C4—221no—
1636C4⋊C4—221no—
1637C4⋊C4—221no—
1638C4⋊C4D4×D1111yescharacteristic
1639C4⋊C4C23×D1111yescharacteristic
1640C4⋊C4C23×D1111yescharacteristic
1641C4⋊C4C23×D1111yescharacteristic
1642C4⋊C4C23×D1111yescharacteristic
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—111no—
1651C22⋊C4—111no—
1652C22⋊C4—111no—
1653C22⋊C4—111no—
1654C22⋊C4—111no—
1655C22⋊C4—111no—
1656C22⋊C4—111no—
1657C22⋊C4—111no—
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⋊C4—221no—
1678C22⋊C4—221no—
1679C22⋊C4—221no—
1680C22⋊C4—221no—
1681C22⋊C4—221no—
1682C22⋊C4—221no—
1683C22⋊C4D4×D1111yescharacteristic
1684C22⋊C4D4×D1111yescharacteristic
1685C42—21no—
1686C42—21no—
1687C42—21no—
1688C42—111no—
1689C42—221no—
1690C42—221no—
1691C42—221no—
1692C42—221no—
1693C42—221no—
1694C42C23×D1111yescharacteristic
1695C11#6161611yescharacteristic, complemented, Sylow
1696C23—21no—
1697C23—111no—
1698C23—111no—
1699C23—111no—
1700C23—221no—
1701C23—221no—
1702C23—221no—
1703C23—221no—
1704C23—221no—
1705C23—441no—
1706C23—441no—
1707C23—441no—
1708C23—442no—
1709C23—442no—
1710C23—881no—
1711C23—881no—
1712C23—881no—
1713C23—881no—
1714C23—881no—
1715C23—881no—
1716C23—881no—
1717C23C2×D4×D1111yescharacteristic
1718C23C2×D4×D1111yescharacteristic
1719Q8—21no—
1720Q8—21no—
1721Q8—21no—
1722Q8—21no—
1723Q8—21no—
1724Q8—42no—
1725Q8—112no—
1726Q8—224no—
1727Q8—221no—
1728Q8—441no—
1729Q8—442no—
1730Q8—881no—
1731Q8#6704212yes—
1732D4—21no—
1733D4—21no—
1734D4—41no—
1735D4—42no—
1736D4—81no—
1737D4—221no—
1738D4—221no—
1739D4—221no—
1740D4—221no—
1741D4—221no—
1742D4—221no—
1743D4—221no—
1744D4—221no—
1745D4—221no—
1746D4—221no—
1747D4—441no—
1748D4—441no—
1749D4—442no—
1750D4—442no—
1751D4—442no—
1752D4—441no—
1753D4—441no—
1754D4—441no—
1755D4—441no—
1756D4—442no—
1757D4—442no—
1758D4—442no—
1759D4—442no—
1760D4—442no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4—881no—
1765D4—881no—
1766D4—881no—
1767D4—881no—
1768D4—881no—
1769D4—881no—
1770D4—881no—
1771D4—881no—
1772D4—881no—
1773D4—881no—
1774D4—881no—
1775D4—881no—
1776D4—881no—
1777D4—881no—
1778D4—881no—
1779D4—881no—
1780D4—881no—
1781D4—881no—
1782D4—881no—
1783D4—881no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—42no—
1796C2×C4—42no—
1797C2×C4—42no—
1798C2×C4—111no—
1799C2×C4—111no—
1800C2×C4—111no—
1801C2×C4—111no—
1802C2×C4—111no—
1803C2×C4—224no—
1804C2×C4—221no—
1805C2×C4—221no—
1806C2×C4—221no—
1807C2×C4—221no—
1808C2×C4—221no—
1809C2×C4—221no—
1810C2×C4—221no—
1811C2×C4—221no—
1812C2×C4—221no—
1813C2×C4—441no—
1814C2×C4—441no—
1815C2×C4—442no—
1816C2×C4—442no—
1817C2×C4—442no—
1818C2×C4—442no—
1819C2×C4—442no—
1820C2×C4—442no—
1821C2×C4—441no—
1822C2×C4—442no—
1823C2×C4—881no—
1824C2×C4—881no—
1825C2×C4—881no—
1826C2×C4—881no—
1827C2×C4—881no—
1828C2×C4—881no—
1829C2×C4C2×D4×D1111yescharacteristic
1830C2×C4C2×D4×D1111yescharacteristic
1831C2×C4C2×D4×D1111yescharacteristic
1832C2×C4C2×D4×D1111yescharacteristic
1833C2×C4C24×D1111yescharacteristic
1834C8—21no—
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—221no—
1839C8—221no—
1840C8—221no—
1841C8—221no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—221no—
1852C22—221no—
1853C22—221no—
1854C22—221no—
1855C22—221no—
1856C22—221no—
1857C22—221no—
1858C22—221no—
1859C22—221no—
1860C22—441no—
1861C22—441no—
1862C22—441no—
1863C22—441no—
1864C22—441no—
1865C22—441no—
1866C22—441no—
1867C22—441no—
1868C22—441no—
1869C22—441no—
1870C22—441no—
1871C22—441no—
1872C22—441no—
1873C22—441no—
1874C22—441no—
1875C22—882no—
1876C22—884no—
1877C22—1762no—
1878C22—1762no—
1879C22C22×D4×D1111yescharacteristic
1880C4—21no—
1881C4—21no—
1882C4—21no—
1883C4—22no—
1884C4—21no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—221no—
1892C4—221no—
1893C4—221no—
1894C4—221no—
1895C4—222no—
1896C4—221no—
1897C4—441no—
1898C4—441no—
1899C4C2×#6704211yescharacteristic
1900C4D11×H(5,𝔽2)11yescharacteristic
1901C2—41no—
1902C2—41no—
1903C2—81no—
1904C2—441no—
1905C2—441no—
1906C2—441no—
1907C2—881no—
1908C2—881no—
1909C2—881no—
1910C2—881no—
1911C2—881no—
1912C2#1308224611yescharacteristic
1913C2#1308338611yescharacteristic
1914C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3327C2
socleC22×C11C23×D4
hypercenter#3327D11
hypocenterC11#61616
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3327

Complements

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

NH ≅ G/Ntype
1. #13082926C2semidirect
2. #13082273C2semidirect
3. #13080939C2semidirect
4. #13080803C2semidirect
5. #13080736C2semidirect
6. #13080619C2semidirect
7. #13080610C2semidirect
8. #13080564C2semidirect
9. #13080517C2semidirect
10. #13080375C2semidirect
11. #13080316C2semidirect
12. #13080244C2semidirect
13. #13080238C2semidirect
14. #13080207C2semidirect
15. #13080163C2semidirect
16. #13080159C2semidirect
17. #13080112C2semidirect
18. #13079717C2semidirect
19. #13079669C2semidirect
20. #13079480C2semidirect
21. #13079469C2semidirect
22. #13079459C2semidirect
23. #13079386C2semidirect
24. #13078909C2semidirect
25. #13078851C2semidirect
26. #13077932C2semidirect
27. #13077903C2semidirect
28. #13077869C2semidirect
29. #13077837C2semidirect
30. #13077660C2semidirect
31. C11×#3327C2semidirect
32. C2×#41×D11C22semidirect
33. C2×#67040C22semidirect
34. C11×#552C22semidirect
36. #10623365C22semidirect
38. #10623348C22semidirect
39. C22×#4325C22semidirect
40. C2×#66972C22semidirect
41. C2×#66972C22semidirect
42. C2×#66971C22semidirect
43. C2×#66969C22semidirect
45. C2×#66961C22semidirect
51. #10623226C22semidirect
53. #10623208C22semidirect
55. #10623205C22semidirect
59. #10623164C22semidirect
60. #10623161C22semidirect
61. #10623161C22semidirect
65. #10623158C22semidirect
67. #10623138C22semidirect
69. #10623130C22semidirect
71. #10623108C22semidirect
72. #10623108C22semidirect
73. #10623103C22semidirect
76. D4×D44C22semidirect
79. #10623063C22semidirect
83. #10623038C22semidirect
85. C11×#488C22semidirect
86. C11×#484C22semidirect
87. C11×#482C22semidirect
88. C11×#479C22semidirect
89. C11×#470C22semidirect
90. C11×#468C22semidirect
91. C11×#464C22semidirect
92. C11×#452C22semidirect
93. C11×#451C22semidirect
94. C4×C11×Q16C22semidirect
95. C11×#436C22semidirect
96. C11×#419C22semidirect
97. C11×#417C22semidirect
99. #10622840C22semidirect
100. #10622804C22semidirect
101. #10622800C22semidirect
102. #10622800C22semidirect
103. #10622799C22semidirect
104. #10622798C22semidirect
105. #10622789C22semidirect
106. #10622785C22semidirect
107. #10622782C22semidirect
108. #10622748C22semidirect
109. #10622748C22semidirect
110. #10622742C22semidirect
111. #10622741C22semidirect
112. #10622740C22semidirect
113. #10622739C22semidirect
114. #10622680C22semidirect
115. #10622676C22semidirect
116. #10622671C22semidirect
117. #10622670C22semidirect
118. #10622662C22semidirect
119. #10622662C22semidirect
120. #10622661C22semidirect
121. #10622660C22semidirect
122. #10622660C22semidirect
123. #10622659C22semidirect
124. #10622651C22semidirect
125. #10622649C22semidirect
126. #10622643C22semidirect
127. #10622640C22semidirect
128. #10622640C22semidirect
129. #10622639C22semidirect
130. #10622624C22semidirect
131. #10622616C22semidirect
132. #10622615C22semidirect
133. #10622581C22semidirect
134. #10622579C22semidirect
135. #10622502C22semidirect
137. #10622498C22semidirect
138. #10622496C22semidirect
139. #10622496C22semidirect
140. #10622496C22semidirect
141. #10622495C22semidirect
142. #10622488C22semidirect
143. #10622479C22semidirect
144. #10622479C22semidirect
145. #10622478C22semidirect
146. #10622465C22semidirect
147. #10622461C22semidirect
148. #10622456C22semidirect
149. #10622453C22semidirect
150. #10622449C22semidirect
151. #10622432C22semidirect
152. #10622432C22semidirect
153. #10622430C22semidirect
154. #10622428C22semidirect
155. #10622428C22semidirect
158. #10622424C22semidirect
159. #10622424C22semidirect
160. #10622424C22semidirect
161. #10622424C22semidirect
162. #10622424C22semidirect
163. #10622424C22semidirect
164. #10622424C22semidirect
165. #10622420C22semidirect
166. #10622420C22semidirect
168. #10622419C22semidirect
169. #10622419C22semidirect
170. #10622419C22semidirect
171. #10622419C22semidirect
172. #10622417C22semidirect
173. #10622416C22semidirect
174. D11×#103C22semidirect
175. #10622411C22semidirect
176. #10622408C22semidirect
177. #10622404C22semidirect
178. #10622401C22semidirect
179. #10622399C22semidirect
180. #10622399C22semidirect
181. #10622395C22semidirect
183. #10622394C22semidirect
184. #10622390C22semidirect
185. #10622388C22semidirect
187. #10622386C22semidirect
188. #10622386C22semidirect
189. #10622385C22semidirect
190. #10622373C22semidirect
192. #10622347C22semidirect
193. #10622345C22semidirect
194. #10622345C22semidirect
195. #10622341C22semidirect
196. #10622340C22semidirect
197. (C22⋊D11)⋊C8C22semidirect
198. D11×C22⋊C8C22semidirect
199. #10622308C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. C8×D44C22semidirect
742. #3327D11semidirect
930. #552C2×D11semidirect
975. #488C2×D11semidirect
979. #484C2×D11semidirect
985. #482C2×D11semidirect
990. #479C2×D11semidirect
993. #470C2×D11semidirect
1000. #468C2×D11semidirect
1011. #464C2×D11semidirect
1025. #452C2×D11semidirect
1027. #451C2×D11semidirect
1061. C4×Q16C2×D11semidirect
1066. #436C2×D11semidirect
1075. #419C2×D11semidirect
1078. #417C2×D11semidirect
1695. C11#61616semidirect

Maximal subgroups

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

subgroupindex
#130829262
#130822732
#130809392
#130808032
#130807362
#130806192
#130806102
#130805642
#130805172
#130803752
#130803162
#130802442
#130802382
#130802072
#130801632
#130801592
#130801122
#130797172
#130796692
#130794802
#130794692
#130794592
#130793862
#130789092
#130788512
#130779322
#130779032
#130778692
#130778372
#130776602
C11×#33272
#6161611