Finite Group Databasebeta

← #15639799

Subgroups — #15639799

Order 2816.

2050 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082892C211yesmaximal, characteristic, complemented
2#13082287C211yesmaximal, characteristic, complemented
3#13080908C211yesmaximal, characteristic, complemented
4#13080893C211yesmaximal, characteristic, complemented
5#13080801C211yesmaximal, characteristic, complemented
6#13080773C211yesmaximal, characteristic, complemented
7#13080685C211yesmaximal, characteristic, complemented
8#13080541C211yesmaximal, characteristic, complemented
9#13080529C211yesmaximal, characteristic, complemented
10#13080352C211yesmaximal, characteristic, complemented
11#13080320C211yesmaximal, characteristic, complemented
12#13080251C211yesmaximal, characteristic, complemented
13#13080223C211yesmaximal, characteristic, complemented
14#13080193C211yesmaximal, characteristic, complemented
15#13080173C211yesmaximal, characteristic, complemented
16#13080144C211yesmaximal, characteristic, complemented
17#13080131C211yesmaximal, characteristic, complemented
18#13079730C211yesmaximal, characteristic, complemented
19#13079726C211yesmaximal, characteristic, complemented
20#13079491C211yesmaximal, characteristic, complemented
21#13079466C211yesmaximal, characteristic, complemented
22#13079447C211yesmaximal, characteristic, complemented
23#13079401C211yesmaximal, characteristic, complemented
24#13078898C211yesmaximal, characteristic, complemented
25#13078882C211yesmaximal, characteristic, complemented
26#13077908C211yesmaximal, characteristic, complemented
27#13077905C211yesmaximal, characteristic, complemented
28#13077860C211yesmaximal, characteristic, complemented
29#13077835C211yesmaximal, characteristic, complemented
30#13077663C211yesmaximal, characteristic, complemented
31C11×#3311C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C22×#4341C2211yescharacteristic, complemented
34C11×#556C2211yescharacteristic
35C11×#546C2211yescharacteristic
36#10623355C2211yescharacteristic
37C2×#67002C2211yescharacteristic, complemented
38#10623337C2211yescharacteristic, complemented
39C2×#66985C2211yescharacteristic
40C2×Q16×D11C2211yescharacteristic, complemented
41C2×#66969C2211yescharacteristic
42C2×#66969C2211yescharacteristic
43C2×#66968C2211yescharacteristic, complemented
44C2×#66962C2211yescharacteristic
45C22×#4314C2211yescharacteristic, complemented
46#10623265C2211yescharacteristic, complemented
47#10623264C2211yescharacteristic, complemented
48#10623242—21no—
49#10623241—21no—
50#10623236—21no—
51#10623235—21no—
52#10623214—21no—
53#10623209—21no—
54#10623208C2211yescharacteristic, complemented
55#10623206C2211yescharacteristic, complemented
56#10623186—21no—
57#10623179—21no—
58#10623164C2211yescharacteristic
59#10623163C2211yescharacteristic, complemented
60#10623161C2211yescharacteristic, complemented
61#10623159C2211yescharacteristic, complemented
62#10623158C2211yescharacteristic
63D11×C22⋊Q8C2211yescharacteristic, complemented
64#10623142—21no—
65#10623139C2211yescharacteristic
66#10623129C2211yescharacteristic
67#10623128—21no—
68#10623122—21no—
69#10623117—21no—
70#10623116—21no—
71#10623113—21no—
72#10623113C2211yescharacteristic, complemented
73#10623107C2211yescharacteristic, complemented
74#10623086C2211yescharacteristic, complemented
75#10623081C2211yescharacteristic
76#10623078C2211yescharacteristic
77#10623077C2211yescharacteristic, complemented
78D4×Dic22C2211yescharacteristic
79#10623064C2211yescharacteristic, complemented
80#10623063C2211yescharacteristic
81#10623056C2211yescharacteristic, complemented
82#10623055C2211yescharacteristic
83#10623021—21no—
84C2×#66931—21no—
85C11×#489C2211yescharacteristic, complemented
86C11×#485C2211yescharacteristic, complemented
87C11×#482C2211yescharacteristic, complemented
88C11×#476C2211yescharacteristic, complemented
89C11×#470C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#464C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic, complemented
93C11×#450C2211yescharacteristic, complemented
94C11×#440C2211yescharacteristic, complemented
95C11×#435C2211yescharacteristic
96C11×#418C2211yescharacteristic, complemented
97C11×#416C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622830C2211yescharacteristic
100#10622803C2211yescharacteristic, complemented
101#10622800C2211yescharacteristic, complemented
102#10622799C2211yescharacteristic, complemented
103#10622786C2211yescharacteristic, complemented
104#10622786C2211yescharacteristic, complemented
105#10622783C2211yescharacteristic, complemented
106#10622781C2211yescharacteristic, complemented
107#10622778C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic
109#10622740C2211yescharacteristic, complemented
110#10622739C2211yescharacteristic, complemented
111#10622729C2211yescharacteristic, complemented
112#10622723C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622707C2211yescharacteristic, complemented
115#10622706C2211yescharacteristic, complemented
116#10622672C2211yescharacteristic, complemented
117#10622670C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622665C2211yescharacteristic, complemented
120#10622663C2211yescharacteristic, complemented
121#10622663C2211yescharacteristic, complemented
122#10622662C2211yescharacteristic
123#10622660C2211yescharacteristic
124#10622655C2211yescharacteristic, complemented
125#10622649C2211yescharacteristic, complemented
126#10622644C2211yescharacteristic, complemented
127C4×#4326C2211yescharacteristic, complemented
128#10622629C2211yescharacteristic, complemented
129C4×#4323C2211yescharacteristic, complemented
130#10622625C2211yescharacteristic
131#10622617C2211yescharacteristic, complemented
132#10622617C2211yescharacteristic, complemented
133#10622609C2211yescharacteristic, complemented
134#10622609C2211yescharacteristic, complemented
135#10622500C2211yescharacteristic, complemented
136#10622499C2211yescharacteristic, complemented
137#10622495C2211yescharacteristic, complemented
138#10622488C2211yescharacteristic, complemented
139#10622480C2211yescharacteristic, complemented
140#10622480C2211yescharacteristic, complemented
141#10622477C2211yescharacteristic, complemented
142#10622477C2211yescharacteristic, complemented
143#10622476C2211yescharacteristic, complemented
144#10622475C2211yescharacteristic, complemented
145#10622466C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622454C2211yescharacteristic, complemented
149#10622453C2211yescharacteristic, complemented
150#10622447C2211yescharacteristic, complemented
151#10622431C2211yescharacteristic, complemented
152#10622427C2211yescharacteristic, complemented
153#10622426C2211yescharacteristic, complemented
154#10622423C2211yescharacteristic, complemented
155#10622422C2211yescharacteristic, complemented
156#10622421C2211yescharacteristic, complemented
157#10622421C2211yescharacteristic, complemented
158#10622420C2211yescharacteristic, complemented
159#10622419C2211yescharacteristic, complemented
160#10622419C2211yescharacteristic, complemented
161#10622419C2211yescharacteristic, complemented
162#10622419C2211yescharacteristic, complemented
163#10622415C2211yescharacteristic, complemented
164#10622411C2211yescharacteristic, complemented
165#10622406C2211yescharacteristic, complemented
166#10622405C2211yescharacteristic, complemented
167#10622400C2211yescharacteristic, complemented
168#10622398C2211yescharacteristic, complemented
169#10622397C2211yescharacteristic, complemented
170#10622396C2211yescharacteristic, complemented
171#10622396C2211yescharacteristic, complemented
172#10622396C2211yescharacteristic, complemented
173#10622396C2211yescharacteristic, complemented
174#10622395C2211yescharacteristic, complemented
175#10622394C2211yescharacteristic
176#10622394C2211yescharacteristic
177#10622394C2211yescharacteristic
178#10622394C2211yescharacteristic
179#10622394C2211yescharacteristic
180#10622394C2211yescharacteristic
181#10622394C2211yescharacteristic, complemented
182#10622394C2211yescharacteristic, complemented
183#10622388C2211yescharacteristic, complemented
184#10622385C2211yescharacteristic, complemented
185#10622385C2211yescharacteristic, complemented
186#10622385C2211yescharacteristic, complemented
187#10622380C2211yescharacteristic, complemented
188#10622378C2211yescharacteristic, complemented
189#10622372C2211yescharacteristic, complemented
190#10622371C2211yescharacteristic, complemented
191#10622352C2211yescharacteristic, complemented
192#10622351C2211yescharacteristic
193#10622346C2211yescharacteristic
194#10622344C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622341C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic, complemented
198D11×C22⋊C8C2211yescharacteristic, complemented
199#10622328C2211yescharacteristic, complemented
200#10622323C2211yescharacteristic, complemented
201#10622322C2211yescharacteristic, complemented
202#10622319C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C23×Dic11—21no—
207#67043—42no—
208#67043—42no—
209C2×#4343C2311yescharacteristic
210C2×Q8×D11C2311yescharacteristic
211C2×Q8×D11C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×#4341—21no—
214C2×#4341—21no—
215C2×#4341—21no—
216C2×#4341—21no—
217C2×#4341—42no—
218C2×#4341—42no—
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×#4341C2311yescharacteristic
222C2×#4341C2311yescharacteristic
223C2×#4341C2311yescharacteristic
224C2×#4339—21no—
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C22×D44C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×Dic22—21no—
230C22×Dic22C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×SD16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C11×C4⋊Q8C2311yescharacteristic
238C11×#126—21no—
239C11×#126—21no—
240C11×#124—21no—
241C11×#124C2311yescharacteristic
242C11×#123—21no—
243C11×C22⋊Q8C2311yescharacteristic
244C11×C22⋊Q8C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×#121—21no—
247C11×#121C2311yescharacteristic
248C11×#120—21no—
249C4×Q8×C11—21no—
250C4×Q8×C11C2311yescharacteristic
251C4×D4×C11C2311yescharacteristic
252C4×D4×C11C2311yescharacteristic
253C11×#117C2311yescharacteristic
254C11×#117C2311yescharacteristic
255C2×C11×C22⋊C4—21no—
256#67006—21no—
257C2×C22⋊Dic11—21no—
258#67002—42no—
259#67000—21no—
260#67000—21no—
261#67000—21no—
262#67000C2311yescharacteristic
263#66999—21no—
264#66999C2311yescharacteristic
265#66999C2311yescharacteristic
266#66997C2311yescharacteristic
267C2×#4326C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4326C2311yescharacteristic
270C2×#4326C2311yescharacteristic
271C2×#4325C2311yescharacteristic
272C2×#4325C2311yescharacteristic
273#66992—21no—
274#66992—21no—
275#66992—21no—
276#66992—21no—
277#66992D411yescharacteristic
278#66991—21no—
279#66991C2311yescharacteristic
280#66990—21no—
281#66990D411yescharacteristic
282#66989C2311yescharacteristic
283#66988—21no—
284#66988—21no—
285D4×Dic11—21no—
286D4×Dic11—21no—
287D4×Dic11C2311yescharacteristic
288C2×#4324C2311yescharacteristic
289C2×#4324C2311yescharacteristic
290#66985—42no—
291C2×#4323C2311yescharacteristic
292C2×#4323C2311yescharacteristic
293C2×#4323C2311yescharacteristic
294C2×#4323C2311yescharacteristic
295#66983—21no—
296#66983C2311yescharacteristic
297#66982—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11C2311yescharacteristic
300C4×C22⋊D11C2311yescharacteristic
301C2×C4⋊Dic11—21no—
302#66977C2311yescharacteristic
303#66977C2311yescharacteristic
304#66977C2311yescharacteristic
305C2×Dic11⋊C4—21no—
306C2×Dic11⋊C4—21no—
307C2×#4318C2311yescharacteristic
308C2×#4318C2311yescharacteristic
309Q16×D11—42no—
310#66969—42no—
311#66969—42no—
312#66968—42no—
313#66962—42no—
314C2×Dic44C2311yescharacteristic
315C2×Dic44C2311yescharacteristic
316C2×Dic44C2311yescharacteristic
317C2×#4314—42no—
318C2×#4314C2311yescharacteristic
319C2×#4314C2311yescharacteristic
320C2×#4314C2311yescharacteristic
321C2×#4314C2311yescharacteristic
322C2×#4314C2311yescharacteristic
323C2×#4314C2311yescharacteristic
324C2×#4313C2311yescharacteristic
325C2×C8×D11C2311yescharacteristic
326C2×C8×D11C2311yescharacteristic
327C2×C8×D11C2311yescharacteristic
328#66951—21no—
329#66950—21no—
330#66950C2311yescharacteristic
331#66950C2311yescharacteristic
332#66950C2311yescharacteristic
333#66950C2311yescharacteristic
334#66949—21no—
335#66949—21no—
336#66949—21no—
337#66949—21no—
338#66949D411yescharacteristic
339#66948—21no—
340#66948—21no—
341#66948—21no—
342#66948C2311yescharacteristic
343#66948C2311yescharacteristic
344#66948C2311yescharacteristic
345#66948C2311yescharacteristic
346#66948C2311yescharacteristic
347#66947—21no—
348#66947—21no—
349#66947—21no—
350#66947—21no—
351#66947—21no—
352#66947—21no—
353#66947D411yescharacteristic
354#66946—21no—
355#66946—21no—
356#66946C2311yescharacteristic
357#66945—21no—
358#66945C2311yescharacteristic
359#66945C2311yescharacteristic
360C4⋊C4×D11—21no—
361C4⋊C4×D11C2311yescharacteristic
362#66941—21no—
363#66941—21no—
364#66941—21no—
365#66941C2311yescharacteristic
366#66940C2311yescharacteristic
367#66940C2311yescharacteristic
368#66939—21no—
369#66939—21no—
370#66939—21no—
371#66938—21no—
372#66938—21no—
373#66938—21no—
374#66938—21no—
375#66938—21no—
376#66938—21no—
377#66937—21no—
378#66937—21no—
379#66937—21no—
380#66937—21no—
381#66937—21no—
382#66937D411yescharacteristic
383#66936—21no—
384#66936—21no—
385#66936—21no—
386#66936D411yescharacteristic
387#66935—21no—
388#66935—21no—
389#66935—21no—
390#66935—21no—
391#66935—21no—
392#66935D411yescharacteristic
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396(C22⋊D11)⋊C4—21no—
397C22⋊C4×D11—21no—
398C22⋊C4×D11—21no—
399C22⋊C4×D11—21no—
400#66932—21no—
401#66931—21no—
402#66931—21no—
403#66931—21no—
404#66931—21no—
405#66931—21no—
406#66931—21no—
407#66931—21no—
408#66931—21no—
409#66931—21no—
410#66931D411yescharacteristic
411#66930—21no—
412#66929—21no—
413#66929—21no—
414#66928—21no—
415#66928—21no—
416#66928—21no—
417#66928—21no—
418#66928C2311yescharacteristic
419#66927—21no—
420C4×D44—21no—
421C4×D44—21no—
422C4×D44—21no—
423C4×D44C2311yescharacteristic
424C4×D44C2311yescharacteristic
425#66925—21no—
426#66925C2311yescharacteristic
427#66922C2311yescharacteristic
428C4×Dic22—21no—
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#106C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#102C2311yescharacteristic
439C11×#102C2311yescharacteristic
440C11×#102C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×#97C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463#66882C2311yescharacteristic
464#66880C2311yescharacteristic
465#66880C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66879C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61627—111nomaximal, Sylow
491C24×C11—21no—
492C23×D11—21no—
493C23×D11C2×D411yescharacteristic
494C11×#41—22no—
495C11×#41—41no—
496C2×Q8×C11—21no—
497C2×Q8×C11C2411yescharacteristic
498C2×Q8×C11C2411yescharacteristic
499C2×D4×C11—22no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—41no—
504C2×D4×C11C2×D411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11C2411yescharacteristic
510C22×C4×C11C2411yescharacteristic
511C2×C22⋊D11—21no—
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—44no—
520C2×C22⋊D11C2×D411yescharacteristic
521C2×C22⋊D11C2×D411yescharacteristic
522C2×C22⋊D11C2×D411yescharacteristic
523C2×C22⋊D11C2×D411yescharacteristic
524C22×Dic11—21no—
525C22×Dic11—21no—
526C22×Dic11—21no—
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—44no—
533C22×Dic11C2×D411yescharacteristic
534#4343—41no—
535#4343—41no—
536Q8×D11—22no—
537Q8×D11—41no—
538Q8×D11—41no—
539Q8×D11—41no—
540Q8×D11—41no—
541Q8×D11—41no—
542#4341—22no—
543#4341—22no—
544#4341—22no—
545#4341—22no—
546#4341—22no—
547#4341—41no—
548#4341—41no—
549#4341—41no—
550#4341—41no—
551#4341—41no—
552#4341—44no—
553#4341—44no—
554#4341—44no—
555#4341—44no—
556#4339—41no—
557#4339—41no—
558#4339—41no—
559#4339—41no—
560#4339—44no—
561C2×D44—21no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—41no—
569C2×D44—41no—
570C2×D44C2×D411yescharacteristic
571C2×D44C2×D411yescharacteristic
572C2×D44C2411yescharacteristic
573C2×D44C2411yescharacteristic
574C2×C4×D11—21no—
575C2×C4×D11—21no—
576C2×C4×D11—21no—
577C2×C4×D11—21no—
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—41no—
583C2×C4×D11—41no—
584C2×C4×D11C2×D411yescharacteristic
585C2×C4×D11C2×D411yescharacteristic
586C2×C4×D11C2411yescharacteristic
587C2×C4×D11C2411yescharacteristic
588C2×C4×D11C2411yescharacteristic
589C2×Dic22—22no—
590C2×Dic22—22no—
591C2×Dic22—21no—
592C2×Dic22—21no—
593C2×Dic22—21no—
594C2×Dic22—21no—
595C2×Dic22—21no—
596C2×Dic22—21no—
597C2×Dic22—41no—
598C2×Dic22—41no—
599C2×Dic22—44no—
600C2×Dic22C2×D411yescharacteristic
601C2×Dic22C2411yescharacteristic
602C2×Dic22C2411yescharacteristic
603C2×Dic22C2411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C11×Q16—41no—
606C11×SD16—22no—
607C11×SD16—41no—
608C11×M16—41no—
609C2×C8×C11—41no—
610C2×C8×C11C2411yescharacteristic
611C2×C8×C11C2411yescharacteristic
612C2×C8×C11C2411yescharacteristic
613C2×C8×C11C2411yescharacteristic
614C11×C4⋊C4—21no—
615C11×C4⋊C4—21no—
616C11×C4⋊C4—21no—
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4C2×D411yescharacteristic
620C11×C4⋊C4C2411yescharacteristic
621C11×C4⋊C4C2411yescharacteristic
622C11×C4⋊C4C2411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C22⋊C4—21no—
625C11×C22⋊C4—21no—
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4C2×D411yescharacteristic
634C11×C22⋊C4C2×D411yescharacteristic
635C42×C11—21no—
636C42×C11—21no—
637C42×C11—21no—
638C42×C11C2411yescharacteristic
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11C2×D411yescharacteristic
647C22⋊Dic11C2×D411yescharacteristic
648#4326—22no—
649#4326—41no—
650#4326—41no—
651#4326—41no—
652#4325—41no—
653#4325—41no—
654#4324—22no—
655#4324—41no—
656#4323—22no—
657#4323—22no—
658#4323—41no—
659#4323—41no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
681(C2×D11)⋊C4C2×D411yescharacteristic
682(C2×D11)⋊C4C2×D411yescharacteristic
683(C2×D11)⋊C4C2×D411yescharacteristic
684(C2×D11)⋊C4C2×D411yescharacteristic
685(C2×D11)⋊C4C2×D411yescharacteristic
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11C2×D411yescharacteristic
693C4⋊Dic11C2411yescharacteristic
694C4⋊Dic11C2411yescharacteristic
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4—21no—
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4C2×D411yescharacteristic
708Dic11⋊C4C2×D411yescharacteristic
709Dic11⋊C4C2×D411yescharacteristic
710Dic11⋊C4C2×D411yescharacteristic
711C4×Dic11—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11C2411yescharacteristic
717#4318—41no—
718#4318—41no—
719C2×C11⋊C8C2411yescharacteristic
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723Dic44—22no—
724Dic44—41no—
725Dic44—41no—
726#4314—22no—
727#4314—22no—
728#4314—41no—
729#4314—41no—
730#4314—41no—
731#4314—41no—
732#4313—41no—
733C8×D11—41no—
734C8×D11—41no—
735C8×D11—41no—
736#3540—111no—
737#3489—111no—
738#3329—111no—
739#3328—111no—
740#3321—111no—
741#3319—111no—
742#3313—111no—
743#3311D1111yescharacteristic, complemented
744#3303—111no—
745#3302—111no—
746#3285—111no—
747#3282—111no—
748#3275—111no—
749#3273—111no—
750#3270—111no—
751#3269—111no—
752#3267—111no—
753#3266—111no—
754#3225—111no—
755#3225—111no—
756#3201—111no—
757#3198—111no—
758#3196—111no—
759#3190—111no—
760#3125—111no—
761#3124—111no—
762#3011—111no—
763#3010—111no—
764#3005—111no—
765#3002—111no—
766#2976—111no—
767C23×C11—21no—
768C23×C11—21no—
769C23×C11—42no—
770C23×C11—42no—
771C23×C11—81no—
772C23×C11C22×D411yescharacteristic
773C23×C11C22×D411yescharacteristic
774C22×D11—21no—
775C22×D11—21no—
776C22×D11—41no—
777C22×D11—41no—
778C22×D11—41no—
779C22×D11—81no—
780C22×D11—81no—
781C22×D11—81no—
782C22×D11C22×D411yescharacteristic
783C22×D11C22×D411yescharacteristic
784C22×D11C22×D411yescharacteristic
785Q8×C11—21no—
786Q8×C11—21no—
787Q8×C11—21no—
788Q8×C11—21no—
789Q8×C11—81no—
790D4×C11—21no—
791D4×C11—21no—
792D4×C11—21no—
793D4×C11—41no—
794D4×C11—42no—
795D4×C11—42no—
796D4×C11—81no—
797D4×C11H(5,𝔽2)12yes—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—42no—
809C2×C4×C11—81no—
810C2×C4×C11C22×D411yescharacteristic
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C22×D411yescharacteristic
813C2×C4×C11C22×D411yescharacteristic
814C2×C4×C11C2511yescharacteristic
815C22⋊D11—24no—
816C22⋊D11—41no—
817C22⋊D11—41no—
818C22⋊D11—41no—
819C22⋊D11—41no—
820C22⋊D11—42no—
821C22⋊D11—42no—
822C22⋊D11—42no—
823C22⋊D11—42no—
824C22⋊D11—81no—
825C22⋊D11—81no—
826C22⋊D11—81no—
827C2×Dic11—24no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—41no—
835C2×Dic11—42no—
836C2×Dic11—42no—
837C2×Dic11—42no—
838C2×Dic11—42no—
839C2×Dic11—42no—
840C2×Dic11—42no—
841C2×Dic11—81no—
842C2×Dic11C22×D411yescharacteristic
843C2×Dic11C22×D411yescharacteristic
844C2×Dic11C22×D411yescharacteristic
845C2×Dic11C22×D411yescharacteristic
846C2×Dic11C22×D411yescharacteristic
847D44—21no—
848D44—21no—
849D44—21no—
850D44—21no—
851D44—41no—
852D44—41no—
853D44—81no—
854D44—81no—
855D44—81no—
856D44—81no—
857D44—81no—
858D44—81no—
859D44—81no—
860C4×D11—21no—
861C4×D11—21no—
862C4×D11—21no—
863C4×D11—21no—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—41no—
867C4×D11—41no—
868C4×D11—42no—
869C4×D11—42no—
870C4×D11—81no—
871C4×D11—81no—
872C4×D11—81no—
873C4×D11—81no—
874C4×D11—81no—
875C4×D11—81no—
876Dic22—21no—
877Dic22—21no—
878Dic22—21no—
879Dic22—21no—
880Dic22—21no—
881Dic22—21no—
882Dic22—21no—
883Dic22—41no—
884Dic22—42no—
885Dic22—42no—
886Dic22—42no—
887Dic22—42no—
888Dic22—81no—
889Dic22—81no—
890Dic22H(5,𝔽2)12yes—
891C8×C11—21no—
892C8×C11—21no—
893C8×C11—21no—
894C8×C11—21no—
895C11⋊C8—21no—
896C11⋊C8—21no—
897C11⋊C8—21no—
898C11⋊C8—21no—
899C2×2−1+4—111no—
900C22×#41—111no—
901C2×#137—111no—
902C2×#137—111no—
903C2×AGL(1,ℤ/8)—111no—
904C2×AGL(1,ℤ/8)—111no—
905C2×#135—111no—
906C2×#135—111no—
907C22×Q16—111no—
908C22×SD16—111no—
909H(3,𝔽4)—221no—
910#560—221no—
911#559—221no—
912#556—111no—
913#556C2×D1111yescharacteristic
914#555—111no—
915#555—111no—
916#551—221no—
917D4×Q8—111no—
918D4×Q8—111no—
919#548—111no—
920#548—111no—
921#548—111no—
922#548—111no—
923#547—111no—
924#547—111no—
925#547—221no—
926#547—221no—
927#546—111no—
928#546—111no—
929#546—111no—
930#546—221no—
931#546—221no—
932#546C2×D1111yescharacteristic
933#542—111no—
934#542—111no—
935#542—221no—
936#542—221no—
937#538—221no—
938#538—221no—
939#537—111no—
940#537—221no—
941#536—111no—
942#536—111no—
943#536—221no—
944#535—111no—
945#525—111no—
946#525—111no—
947#525—111no—
948#525—221no—
949C2×C22⋊Q8—111no—
950C2×C22⋊Q8—221no—
951#520—111no—
952#497—111no—
953#497—111no—
954#495—111no—
955#495—111no—
956#489—111no—
957#489C2×D1111yescharacteristic, complemented
958#487—111no—
959#487—111no—
960#485—111no—
961#485—111no—
962#485—111no—
963#485—111no—
964#485—111no—
965#485C2×D1111yescharacteristic, complemented
966#484—111no—
967#483—111no—
968#482—111no—
969#482C2×D1111yescharacteristic, complemented
970#481—111no—
971#480—111no—
972#477—111no—
973#476C2×D1111yescharacteristic, complemented
974#475—111no—
975#474—111no—
976#470—111no—
977#470—111no—
978#470C2×D1111yescharacteristic, complemented
979#469—111no—
980#468—111no—
981#468—111no—
982#468—111no—
983#468—111no—
984#467—111no—
985#467—111no—
986#467—111no—
987#466—111no—
988#465—111no—
989#465—111no—
990#465—111no—
991#465C2×D1111yescharacteristic, complemented
992#464—111no—
993#464—111no—
994#464—111no—
995#464C2×D1111yescharacteristic, complemented
996#463—111no—
997#463—111no—
998#463—111no—
999#463—111no—
1000#462—111no—
1001#462—111no—
1002#461—111no—
1003#461—111no—
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#452C2×D1111yescharacteristic, complemented
1016#451—111no—
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#450—111no—
1023#450C2×D1111yescharacteristic, complemented
1024#449—111no—
1025#449—111no—
1026#449—111no—
1027#449—111no—
1028#449—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#448—111no—
1033#448—111no—
1034#448—111no—
1035#448—111no—
1036#448—111no—
1037#448—111no—
1038#447—111no—
1039#447—111no—
1040#442—111no—
1041#441—111no—
1042#440—111no—
1043#440C2×D1111yescharacteristic, complemented
1044C4×Q16—111no—
1045C4×SD16—111no—
1046C4×SD16—111no—
1047C4×D8—111no—
1048#436—111no—
1049#436—111no—
1050#435—111no—
1051#435—111no—
1052#435—111no—
1053#435C2×D1111yescharacteristic
1054C8×D4—111no—
1055C8×D4—111no—
1056#433—111no—
1057#433—111no—
1058#419—111no—
1059#419—111no—
1060#419—111no—
1061#418C2×D1111yescharacteristic, complemented
1062#416—111no—
1063#416—111no—
1064#416—111no—
1065#416C2×D1111yescharacteristic, complemented
1066#408—111no—
1067#408—111no—
1068#407—111no—
1069C2×C22⋊C8—111no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—21no—
1075C22×C11—21no—
1076C22×C11—22no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11—84no—
1083C22×C11C23×D411yescharacteristic
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—21no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—41no—
1099C2×D11—82no—
1100C2×D11—162no—
1101C4×C11—21no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—41no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11C2×H(5,𝔽2)11yescharacteristic
1112C4×C11C2×H(5,𝔽2)11yescharacteristic
1113Dic11—21no—
1114Dic11—21no—
1115Dic11—22no—
1116Dic11—21no—
1117Dic11—21no—
1118Dic11—21no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11—41no—
11242−1+4—442no—
11252−1+4—442no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—111no—
1133C2×#41—111no—
1134C2×#41—221no—
1135C2×#41—221no—
1136C2×#41—221no—
1137C2×#41—221no—
1138C2×#41—221no—
1139C2×#41—442no—
1140C2×#41—442no—
1141C2×#41C22×D1111yescharacteristic
1142C22×Q8—111no—
1143C22×Q8—111no—
1144C22×Q8—111no—
1145C22×Q8—111no—
1146C22×Q8—111no—
1147C22×Q8—221no—
1148C22×D4—111no—
1149C22×D4—221no—
1150C22×D4C22×D1111yescharacteristic
1151C23×C4—111no—
1152C23×C4—221no—
1153#137—442no—
1154#137—442no—
1155AGL(1,ℤ/8)—442no—
1156AGL(1,ℤ/8)—442no—
1157#135—442no—
1158#135—442no—
1159C2×Q16—111no—
1160C2×Q16—111no—
1161C2×Q16—111no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×Q16—111no—
1165C2×Q16—111no—
1166C2×Q16—442no—
1167C2×Q16C22×D1111yescharacteristic
1168C2×SD16—111no—
1169C2×SD16—111no—
1170C2×SD16—111no—
1171C2×SD16—111no—
1172C2×SD16—111no—
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×SD16—111no—
1176C2×SD16—111no—
1177C2×SD16—111no—
1178C2×SD16—442no—
1179C2×SD16C22×D1111yescharacteristic
1180C2×SD16C22×D1111yescharacteristic
1181C2×D8—111no—
1182C2×D8—111no—
1183C2×D8—111no—
1184C2×D8—111no—
1185C2×M16—111no—
1186C2×M16—111no—
1187C2×M16—111no—
1188C2×M16C22×D1111yescharacteristic
1189C22×C8—111no—
1190C22×C8—111no—
1191C22×C8—111no—
1192C22×C8C22×D1111yescharacteristic
1193C4⋊Q8—111no—
1194C4⋊Q8—111no—
1195C4⋊Q8—111no—
1196C4⋊Q8—221no—
1197C4⋊Q8—221no—
1198C4⋊Q8—221no—
1199C4⋊Q8C22×D1111yescharacteristic
1200#127—221no—
1201#126—21no—
1202#126—21no—
1203#126—221no—
1204#126—221no—
1205#126—221no—
1206#126—221no—
1207#124—21no—
1208#124—111no—
1209#124—111no—
1210#124—111no—
1211#124—221no—
1212#124—221no—
1213#124—221no—
1214#124—221no—
1215#124—221no—
1216#124—221no—
1217#124—221no—
1218#124—221no—
1219#124—221no—
1220#124—221no—
1221#124—221no—
1222#124—221no—
1223#124—221no—
1224#124C22×D1111yescharacteristic
1225#123—21no—
1226#123—111no—
1227#123—111no—
1228#123—221no—
1229#123—221no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243C22⋊Q8—111no—
1244C22⋊Q8—111no—
1245C22⋊Q8—111no—
1246C22⋊Q8—111no—
1247C22⋊Q8—111no—
1248C22⋊Q8—111no—
1249C22⋊Q8—111no—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—111no—
1253C22⋊Q8—111no—
1254C22⋊Q8—221no—
1255C22⋊Q8—221no—
1256C22⋊Q8—221no—
1257C22⋊Q8—221no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8C22×D1111yescharacteristic
1270C22⋊Q8C22×D1111yescharacteristic
1271C22⋊Q8C22×D1111yescharacteristic
1272#121—21no—
1273#121—111no—
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—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121C22×D1111yescharacteristic
1297#120—21no—
1298#120—111no—
1299#120—111no—
1300#120—221no—
1301#120—221no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306#120—221no—
1307C4×Q8—21no—
1308C4×Q8—111no—
1309C4×Q8—111no—
1310C4×Q8—111no—
1311C4×Q8—221no—
1312C4×Q8C22×D1111yescharacteristic
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—221no—
1320C4×D4—221no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4C22×D1111yescharacteristic
1332C4×D4C22×D1111yescharacteristic
1333#117—111no—
1334#117—111no—
1335#117—111no—
1336#117—221no—
1337#117—221no—
1338#117—221no—
1339#117C22×D1111yescharacteristic
1340#117C22×D1111yescharacteristic
1341C2×C4⋊C4—111no—
1342C2×C4⋊C4—221no—
1343C2×C4⋊C4—221no—
1344C2×C4⋊C4—221no—
1345C2×C4⋊C4—221no—
1346C2×C22⋊C4—21no—
1347C2×C22⋊C4—221no—
1348C2×C22⋊C4—221no—
1349C2×C22⋊C4—221no—
1350C2×C22⋊C4—221no—
1351#107—111no—
1352#107—111no—
1353#107—111no—
1354#107C22×D1111yescharacteristic
1355#106—111no—
1356#106—111no—
1357#106C22×D1111yescharacteristic
1358#106C22×D1111yescharacteristic
1359C4⋊C8—111no—
1360C4⋊C8—111no—
1361C4⋊C8—111no—
1362C4⋊C8C22×D1111yescharacteristic
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103C22×D1111yescharacteristic
1380#103C22×D1111yescharacteristic
1381#103C22×D1111yescharacteristic
1382#103C22×D1111yescharacteristic
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102C22×D1111yescharacteristic
1390#102C22×D1111yescharacteristic
1391#102C22×D1111yescharacteristic
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394#102C22×D1111yescharacteristic
1395C22⋊C8—111no—
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8—111no—
1404C22⋊C8—111no—
1405C22⋊C8C22×D1111yescharacteristic
1406C22⋊C8C22×D1111yescharacteristic
1407#97—111no—
1408#97C22×D1111yescharacteristic
1409C4×C8—111no—
1410C4×C8—111no—
1411C2×C11—41no—
1412C2×C11—41no—
1413C2×C11—42no—
1414C2×C11—81no—
1415C2×C11#348411yescharacteristic
1416C2×C11#358411yescharacteristic
1417C2×C11#358611yescharacteristic
1418D11—41no—
1419D11—41no—
1420D11—41no—
1421D11—81no—
1422D11—81no—
1423C24—21no—
1424C24—111no—
1425C24—221no—
1426#41—22no—
1427#41—41no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—441no—
1434#41—441no—
1435#41—441no—
1436#41—441no—
1437#41—444no—
1438#41—441no—
1439#41—441no—
1440#41—441no—
1441#41—441no—
1442#41—441no—
1443#41—444no—
1444#41—444no—
1445#41—441no—
1446#41—441no—
1447#41—444no—
1448#41—444no—
1449C2×Q8—21no—
1450C2×Q8—111no—
1451C2×Q8—111no—
1452C2×Q8—111no—
1453C2×Q8—111no—
1454C2×Q8—111no—
1455C2×Q8—221no—
1456C2×Q8—221no—
1457C2×Q8—221no—
1458C2×Q8—221no—
1459C2×Q8—222no—
1460C2×Q8—222no—
1461C2×Q8—221no—
1462C2×Q8—221no—
1463C2×Q8—222no—
1464C2×Q8—441no—
1465C2×Q8—441no—
1466C2×Q8—444no—
1467C2×Q8—441no—
1468C2×Q8—441no—
1469C2×Q8—441no—
1470C2×Q8—441no—
1471C2×Q8—441no—
1472C2×Q8C23×D1111yescharacteristic
1473C2×Q8C23×D1111yescharacteristic
1474C2×D4—22no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—41no—
1479C2×D4—111no—
1480C2×D4—111no—
1481C2×D4—111no—
1482C2×D4—111no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—111no—
1486C2×D4—111no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
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—441no—
1503C2×D4—441no—
1504C2×D4—444no—
1505C2×D4D4×D1111yescharacteristic
1506C2×D4C23×D1111yescharacteristic
1507C2×D4C23×D1111yescharacteristic
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—111no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—221no—
1517C22×C4—221no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—441no—
1533C22×C4—441no—
1534C22×C4—444no—
1535C22×C4C23×D1111yescharacteristic
1536C22×C4C23×D1111yescharacteristic
1537Q16—41no—
1538Q16—222no—
1539Q16—222no—
1540Q16—441no—
1541Q16—441no—
1542Q16—441no—
1543Q16—441no—
1544Q16—441no—
1545SD16—22no—
1546SD16—41no—
1547SD16—222no—
1548SD16—222no—
1549SD16—222no—
1550SD16—441no—
1551SD16—441no—
1552SD16—441no—
1553SD16—441no—
1554SD16—441no—
1555SD16—441no—
1556SD16—441no—
1557D8—222no—
1558D8—222no—
1559D8—441no—
1560D8—441no—
1561M16—41no—
1562M16—441no—
1563M16—441no—
1564M16—441no—
1565C2×C8—41no—
1566C2×C8—111no—
1567C2×C8—111no—
1568C2×C8—111no—
1569C2×C8—111no—
1570C2×C8—441no—
1571C2×C8—441no—
1572C2×C8—441no—
1573C2×C8C23×D1111yescharacteristic
1574C2×C8C23×D1111yescharacteristic
1575C2×C8C23×D1111yescharacteristic
1576C2×C8C23×D1111yescharacteristic
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
1584C4⋊C4—111no—
1585C4⋊C4—111no—
1586C4⋊C4—111no—
1587C4⋊C4—111no—
1588C4⋊C4—111no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4D4×D1111yescharacteristic
1608C4⋊C4C23×D1111yescharacteristic
1609C4⋊C4C23×D1111yescharacteristic
1610C4⋊C4C23×D1111yescharacteristic
1611C4⋊C4C23×D1111yescharacteristic
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—111no—
1622C22⋊C4—111no—
1623C22⋊C4—111no—
1624C22⋊C4—111no—
1625C22⋊C4—111no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—111no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4D4×D1111yescharacteristic
1657C22⋊C4D4×D1111yescharacteristic
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—111no—
1662C42—221no—
1663C42—221no—
1664C42—221no—
1665C42—221no—
1666C42—221no—
1667C42C23×D1111yescharacteristic
1668C11#6162711yescharacteristic, complemented, Sylow
1669C23—21no—
1670C23—21no—
1671C23—42no—
1672C23—42no—
1673C23—81no—
1674C23—111no—
1675C23—111no—
1676C23—111no—
1677C23—221no—
1678C23—221no—
1679C23—441no—
1680C23—441no—
1681C23—441no—
1682C23—881no—
1683C23—881no—
1684C23—881no—
1685C23C2×D4×D1111yescharacteristic
1686C23C2×D4×D1111yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—81no—
1692Q8—112no—
1693Q8—221no—
1694Q8—221no—
1695Q8—221no—
1696Q8—221no—
1697Q8—221no—
1698Q8—221no—
1699Q8—221no—
1700Q8—441no—
1701Q8—442no—
1702Q8—442no—
1703Q8—442no—
1704Q8—442no—
1705Q8—881no—
1706Q8—881no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—41no—
1711D4—42no—
1712D4—42no—
1713D4—81no—
1714D4—224no—
1715D4—221no—
1716D4—221no—
1717D4—221no—
1718D4—221no—
1719D4—441no—
1720D4—441no—
1721D4—441no—
1722D4—441no—
1723D4—441no—
1724D4—441no—
1725D4—442no—
1726D4—442no—
1727D4—442no—
1728D4—442no—
1729D4—881no—
1730D4—881no—
1731D4—881no—
1732D4—881no—
1733D4—881no—
1734D4—881no—
1735D4—881no—
1736D4—881no—
1737D4—881no—
1738D4—881no—
1739D4#6704212yes—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—42no—
1751C2×C4—81no—
1752C2×C4—111no—
1753C2×C4—111no—
1754C2×C4—111no—
1755C2×C4—111no—
1756C2×C4—111no—
1757C2×C4—224no—
1758C2×C4—221no—
1759C2×C4—221no—
1760C2×C4—221no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—441no—
1771C2×C4—441no—
1772C2×C4—442no—
1773C2×C4—442no—
1774C2×C4—441no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—442no—
1780C2×C4—442no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4—881no—
1787C2×C4—881no—
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C2×D4×D1111yescharacteristic
1792C2×C4C24×D1111yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C8—221no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—22no—
1806C22—21no—
1807C22—21no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—84no—
1814C22—221no—
1815C22—221no—
1816C22—221no—
1817C22—221no—
1818C22—221no—
1819C22—221no—
1820C22—221no—
1821C22—221no—
1822C22—221no—
1823C22—441no—
1824C22—441no—
1825C22—441no—
1826C22—441no—
1827C22—441no—
1828C22—441no—
1829C22—882no—
1830C22—1762no—
1831C22C22×D4×D1111yescharacteristic
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—221no—
1843C4—221no—
1844C4—221no—
1845C4—221no—
1846C4—222no—
1847C4—221no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4C2×#6704211yescharacteristic
1854C4D11×H(5,𝔽2)11yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—42no—
1858C2—81no—
1859C2—441no—
1860C2—441no—
1861C2—441no—
1862C2—881no—
1863C2—881no—
1864C2#1308224611yescharacteristic
1865C2#1308338811yescharacteristic
1866C2#1308340011yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3311C2
socleC22×C11C23×D4
hypercenter#3311D11
hypocenterC11#61627
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #13082892C2semidirect
2. #13082287C2semidirect
3. #13080908C2semidirect
4. #13080893C2semidirect
5. #13080801C2semidirect
6. #13080773C2semidirect
7. #13080685C2semidirect
8. #13080541C2semidirect
9. #13080529C2semidirect
10. #13080352C2semidirect
11. #13080320C2semidirect
12. #13080251C2semidirect
13. #13080223C2semidirect
14. #13080193C2semidirect
15. #13080173C2semidirect
16. #13080144C2semidirect
17. #13080131C2semidirect
18. #13079730C2semidirect
19. #13079726C2semidirect
20. #13079491C2semidirect
21. #13079466C2semidirect
22. #13079447C2semidirect
23. #13079401C2semidirect
24. #13078898C2semidirect
25. #13078882C2semidirect
26. #13077908C2semidirect
27. #13077905C2semidirect
28. #13077860C2semidirect
29. #13077835C2semidirect
30. #13077663C2semidirect
31. C11×#3311C2semidirect
33. C22×#4341C22semidirect
37. C2×#67002C22semidirect
38. #10623337C22semidirect
40. C2×Q16×D11C22semidirect
43. C2×#66968C22semidirect
45. C22×#4314C22semidirect
46. #10623265C22semidirect
47. #10623264C22semidirect
54. #10623208C22semidirect
55. #10623206C22semidirect
59. #10623163C22semidirect
60. #10623161C22semidirect
61. #10623159C22semidirect
63. D11×C22⋊Q8C22semidirect
72. #10623113C22semidirect
73. #10623107C22semidirect
74. #10623086C22semidirect
77. #10623077C22semidirect
79. #10623064C22semidirect
81. #10623056C22semidirect
85. C11×#489C22semidirect
86. C11×#485C22semidirect
87. C11×#482C22semidirect
88. C11×#476C22semidirect
89. C11×#470C22semidirect
90. C11×#465C22semidirect
91. C11×#464C22semidirect
92. C11×#452C22semidirect
93. C11×#450C22semidirect
94. C11×#440C22semidirect
96. C11×#418C22semidirect
97. C11×#416C22semidirect
98. #10622852C22semidirect
100. #10622803C22semidirect
101. #10622800C22semidirect
102. #10622799C22semidirect
103. #10622786C22semidirect
104. #10622786C22semidirect
105. #10622783C22semidirect
106. #10622781C22semidirect
107. #10622778C22semidirect
109. #10622740C22semidirect
110. #10622739C22semidirect
111. #10622729C22semidirect
112. #10622723C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622707C22semidirect
115. #10622706C22semidirect
116. #10622672C22semidirect
117. #10622670C22semidirect
118. #10622665C22semidirect
119. #10622665C22semidirect
120. #10622663C22semidirect
121. #10622663C22semidirect
124. #10622655C22semidirect
125. #10622649C22semidirect
126. #10622644C22semidirect
127. C4×#4326C22semidirect
128. #10622629C22semidirect
129. C4×#4323C22semidirect
131. #10622617C22semidirect
132. #10622617C22semidirect
133. #10622609C22semidirect
134. #10622609C22semidirect
135. #10622500C22semidirect
136. #10622499C22semidirect
137. #10622495C22semidirect
138. #10622488C22semidirect
139. #10622480C22semidirect
140. #10622480C22semidirect
141. #10622477C22semidirect
142. #10622477C22semidirect
143. #10622476C22semidirect
144. #10622475C22semidirect
145. #10622466C22semidirect
146. #10622465C22semidirect
147. #10622458C22semidirect
148. #10622454C22semidirect
149. #10622453C22semidirect
150. #10622447C22semidirect
151. #10622431C22semidirect
152. #10622427C22semidirect
153. #10622426C22semidirect
154. #10622423C22semidirect
155. #10622422C22semidirect
156. #10622421C22semidirect
157. #10622421C22semidirect
158. #10622420C22semidirect
159. #10622419C22semidirect
160. #10622419C22semidirect
161. #10622419C22semidirect
162. #10622419C22semidirect
163. #10622415C22semidirect
164. #10622411C22semidirect
165. #10622406C22semidirect
166. #10622405C22semidirect
167. #10622400C22semidirect
168. #10622398C22semidirect
169. #10622397C22semidirect
170. #10622396C22semidirect
171. #10622396C22semidirect
172. #10622396C22semidirect
173. #10622396C22semidirect
174. #10622395C22semidirect
181. #10622394C22semidirect
182. #10622394C22semidirect
183. #10622388C22semidirect
184. #10622385C22semidirect
185. #10622385C22semidirect
186. #10622385C22semidirect
187. #10622380C22semidirect
188. #10622378C22semidirect
189. #10622372C22semidirect
190. #10622371C22semidirect
191. #10622352C22semidirect
194. #10622344C22semidirect
195. #10622342C22semidirect
196. #10622341C22semidirect
197. #10622340C22semidirect
198. D11×C22⋊C8C22semidirect
199. #10622328C22semidirect
200. #10622323C22semidirect
201. #10622322C22semidirect
202. #10622319C22semidirect
743. #3311D11semidirect
957. #489C2×D11semidirect
965. #485C2×D11semidirect
969. #482C2×D11semidirect
973. #476C2×D11semidirect
978. #470C2×D11semidirect
991. #465C2×D11semidirect
995. #464C2×D11semidirect
1015. #452C2×D11semidirect
1023. #450C2×D11semidirect
1043. #440C2×D11semidirect
1061. #418C2×D11semidirect
1065. #416C2×D11semidirect
1668. C11#61627semidirect

Maximal subgroups

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

subgroupindex
#130828922
#130822872
#130809082
#130808932
#130808012
#130807732
#130806852
#130805412
#130805292
#130803522
#130803202
#130802512
#130802232
#130801932
#130801732
#130801442
#130801312
#130797302
#130797262
#130794912
#130794662
#130794472
#130794012
#130788982
#130788822
#130779082
#130779052
#130778602
#130778352
#130776632
C11×#33112
#6162711