Finite Group Databasebeta

← #15639793

Subgroups — #15639793

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#13082295C211yesmaximal, characteristic, complemented
3#13080907C211yesmaximal, characteristic, complemented
4#13080895C211yesmaximal, characteristic, complemented
5#13080798C211yesmaximal, characteristic, complemented
6#13080771C211yesmaximal, characteristic, complemented
7#13080650C211yesmaximal, characteristic, complemented
8#13080542C211yesmaximal, characteristic, complemented
9#13080527C211yesmaximal, characteristic, complemented
10#13080355C211yesmaximal, characteristic, complemented
11#13080324C211yesmaximal, characteristic, complemented
12#13080242C211yesmaximal, characteristic, complemented
13#13080224C211yesmaximal, characteristic, complemented
14#13080188C211yesmaximal, characteristic, complemented
15#13080168C211yesmaximal, characteristic, complemented
16#13080146C211yesmaximal, characteristic, complemented
17#13080119C211yesmaximal, characteristic, complemented
18#13079730C211yesmaximal, characteristic, complemented
19#13079726C211yesmaximal, characteristic, complemented
20#13079493C211yesmaximal, characteristic, complemented
21#13079466C211yesmaximal, characteristic, complemented
22#13079450C211yesmaximal, characteristic, complemented
23#13079398C211yesmaximal, characteristic, complemented
24#13078891C211yesmaximal, characteristic, complemented
25#13078885C211yesmaximal, characteristic, complemented
26#13077906C211yesmaximal, characteristic, complemented
27#13077903C211yesmaximal, characteristic, complemented
28#13077859C211yesmaximal, characteristic, complemented
29#13077836C211yesmaximal, characteristic, complemented
30#13077665C211yesmaximal, characteristic, complemented
31C11×#3313C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic, complemented
33C2×#67040C2211yescharacteristic
34C11×#556C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic
36#10623362C2211yescharacteristic, complemented
37C2×#67003C2211yescharacteristic
38Q8×C22⋊D11C2211yescharacteristic
39C22×#4325C2211yescharacteristic, complemented
40C2×#66971C2211yescharacteristic
41C2×#66971C2211yescharacteristic, complemented
42C2×Q16×D11C2211yescharacteristic, complemented
43C2×#66967C2211yescharacteristic
44C2×#66961C2211yescharacteristic, complemented
45C2×#66957C2211yescharacteristic
46#10623265C2211yescharacteristic
47#10623264C2211yescharacteristic, complemented
48#10623242—21no—
49#10623241—21no—
50#10623236—21no—
51#10623235—21no—
52#10623214—21no—
53#10623209—21no—
54#10623207—21no—
55#10623207C2211yescharacteristic, complemented
56#10623206—21no—
57#10623206C2211yescharacteristic, complemented
58#10623164C2211yescharacteristic, complemented
59#10623162—21no—
60#10623162C2211yescharacteristic, complemented
61#10623161C2211yescharacteristic
62#10623159C2211yescharacteristic, complemented
63#10623158C2211yescharacteristic
64D11×C22⋊Q8—21no—
65D11×C22⋊Q8C2211yescharacteristic, complemented
66#10623143—21no—
67#10623143C2211yescharacteristic
68#10623139—21no—
69#10623139C2211yescharacteristic
70#10623116—21no—
71#10623113—21no—
72#10623113C2211yescharacteristic, complemented
73#10623107C2211yescharacteristic
74Q8×D44C2211yescharacteristic, complemented
75#10623105C2211yescharacteristic, complemented
76#10623082—21no—
77#10623082C2211yescharacteristic
78#10623081C2211yescharacteristic, complemented
79#10623078—21no—
80#10623078C2211yescharacteristic
81#10623064C2211yescharacteristic
82#10623063C2211yescharacteristic, complemented
83#10623056C2211yescharacteristic, complemented
84#10623055C2211yescharacteristic
85C11×#489C2211yescharacteristic, complemented
86C11×#485C2211yescharacteristic, complemented
87C11×#482C2211yescharacteristic, complemented
88C11×#477C2211yescharacteristic, complemented
89C11×#468C2211yescharacteristic, complemented
90C11×#467C2211yescharacteristic, complemented
91C11×#464C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic, complemented
93C11×#451C2211yescharacteristic, complemented
94C11×#441C2211yescharacteristic, complemented
95C11×#435C2211yescharacteristic, complemented
96C11×#419C2211yescharacteristic, complemented
97C11×#416C2211yescharacteristic, complemented
98#10622851C2211yescharacteristic
99#10622841C2211yescharacteristic, complemented
100#10622803C2211yescharacteristic, complemented
101#10622800C2211yescharacteristic
102#10622800C2211yescharacteristic, complemented
103#10622799C2211yescharacteristic, complemented
104#10622798C2211yescharacteristic, complemented
105#10622786C2211yescharacteristic, complemented
106#10622783C2211yescharacteristic, complemented
107#10622781C2211yescharacteristic, complemented
108#10622750C2211yescharacteristic, complemented
109#10622742C2211yescharacteristic, complemented
110#10622741C2211yescharacteristic
111#10622727C2211yescharacteristic, complemented
112#10622724C2211yescharacteristic, complemented
113C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
114#10622706C2211yescharacteristic, complemented
115#10622700C2211yescharacteristic, complemented
116#10622672C2211yescharacteristic, complemented
117#10622670C2211yescharacteristic, complemented
118#10622664C2211yescharacteristic, complemented
119#10622664C2211yescharacteristic, complemented
120#10622661C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622660C2211yescharacteristic, complemented
123#10622660C2211yescharacteristic, complemented
124#10622654C2211yescharacteristic, complemented
125#10622649C2211yescharacteristic, complemented
126#10622644C2211yescharacteristic, complemented
127#10622641C2211yescharacteristic, complemented
128C4×#4325C2211yescharacteristic, complemented
129C4×#4325C2211yescharacteristic, complemented
130D4×C11⋊C8C2211yescharacteristic, complemented
131#10622615C2211yescharacteristic, complemented
132#10622615C2211yescharacteristic, complemented
133#10622609C2211yescharacteristic, complemented
134#10622609C2211yescharacteristic, complemented
135#10622502C2211yescharacteristic, complemented
136#10622501C2211yescharacteristic, complemented
137#10622501C2211yescharacteristic, complemented
138#10622499C2211yescharacteristic
139#10622499C2211yescharacteristic, complemented
140#10622497C2211yescharacteristic, complemented
141#10622495C2211yescharacteristic, complemented
142#10622485C2211yescharacteristic, complemented
143#10622483C2211yescharacteristic, complemented
144#10622481C2211yescharacteristic, complemented
145#10622477C2211yescharacteristic, complemented
146#10622476C2211yescharacteristic, complemented
147#10622457C2211yescharacteristic, complemented
148#10622454C2211yescharacteristic, complemented
149#10622453C2211yescharacteristic, complemented
150#10622451C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622431C2211yescharacteristic, complemented
153#10622430C2211yescharacteristic, complemented
154#10622429C2211yescharacteristic, complemented
155#10622428C2211yescharacteristic, complemented
156#10622425C2211yescharacteristic
157#10622424C2211yescharacteristic
158#10622424C2211yescharacteristic
159#10622424C2211yescharacteristic, complemented
160#10622424C2211yescharacteristic, complemented
161#10622423C2211yescharacteristic
162#10622423C2211yescharacteristic, complemented
163#10622421C2211yescharacteristic, complemented
164#10622421C2211yescharacteristic, complemented
165#10622421C2211yescharacteristic, complemented
166#10622419C2211yescharacteristic
167#10622419C2211yescharacteristic, complemented
168#10622419C2211yescharacteristic, complemented
169#10622419C2211yescharacteristic, complemented
170#10622419C2211yescharacteristic, complemented
171#10622418C2211yescharacteristic, complemented
172#10622417C2211yescharacteristic, complemented
173#10622415C2211yescharacteristic, complemented
174#10622415C2211yescharacteristic, complemented
175#10622406C2211yescharacteristic, complemented
176#10622405C2211yescharacteristic, complemented
177#10622404C2211yescharacteristic, complemented
178#10622403C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic, complemented
180#10622396C2211yescharacteristic, complemented
181#10622395C2211yescharacteristic, complemented
182#10622394C2211yescharacteristic
183#10622394C2211yescharacteristic
184#10622392C2211yescharacteristic, complemented
185#10622389C2211yescharacteristic, complemented
186#10622388C2211yescharacteristic, complemented
187#10622386C2211yescharacteristic
188#10622383C2211yescharacteristic, complemented
189#10622380C2211yescharacteristic, complemented
190#10622378C2211yescharacteristic, complemented
191#10622347C2211yescharacteristic
192#10622346C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622344C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic
196#10622340C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic, complemented
198(C22⋊D11)⋊C8C2211yescharacteristic, complemented
199#10622328C2211yescharacteristic, complemented
200#10622324C2211yescharacteristic, complemented
201#10622322C2211yescharacteristic, complemented
202#10622319C2211yescharacteristic, 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×Q8×D11—21no—
214C2×Q8×D11C2311yescharacteristic
215C2×Q8×D11C2311yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×#4341—21no—
219C2×#4341C2311yescharacteristic
220C2×D4×D11—21no—
221C2×D4×D11C2311yescharacteristic
222C2×#4339—21no—
223C2×#4339—21no—
224C2×#4339—21no—
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C22×D44C2311yescharacteristic
230C22×C4×D11—21no—
231C22×C4×D11C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×Q16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C11×C4⋊Q8C2311yescharacteristic
238C11×#126—21no—
239C11×#126—21no—
240C11×#124—21no—
241C11×#124—21no—
242C11×#124C2311yescharacteristic
243C11×C22⋊Q8—21no—
244C11×C22⋊Q8C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C11×#121—21no—
248C11×#121C2311yescharacteristic
249C4×Q8×C11—21no—
250C4×Q8×C11C2311yescharacteristic
251C4×Q8×C11C2311yescharacteristic
252C4×D4×C11—21no—
253C4×D4×C11C2311yescharacteristic
254C11×#117C2311yescharacteristic
255C11×#117C2311yescharacteristic
256#67003—42no—
257#67000—21no—
258#67000—21no—
259#67000—21no—
260#67000C2311yescharacteristic
261#66999—21no—
262#66999—21no—
263#66999C2311yescharacteristic
264#66999C2311yescharacteristic
265Q8×Dic11C2311yescharacteristic
266#66997—21no—
267#66997C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4326C2311yescharacteristic
270C2×#4326C2311yescharacteristic
271C2×#4326C2311yescharacteristic
272C2×#4325—42no—
273C2×#4325C2311yescharacteristic
274C2×#4325C2311yescharacteristic
275C2×#4325C2311yescharacteristic
276C2×#4325C2311yescharacteristic
277C2×#4325C2311yescharacteristic
278#66992—21no—
279#66992D411yescharacteristic
280#66991—21no—
281#66991—21no—
282#66991—21no—
283#66991—21no—
284#66991C2311yescharacteristic
285#66990—21no—
286#66990—21no—
287#66990D411yescharacteristic
288#66989—21no—
289#66989C2311yescharacteristic
290C2×#4324C2311yescharacteristic
291C2×#4323C2311yescharacteristic
292C2×#4323C2311yescharacteristic
293#66983C2311yescharacteristic
294C4×C22⋊D11—21no—
295C4×C22⋊D11—21no—
296C4×C22⋊D11C2311yescharacteristic
297C4×C22⋊D11C2311yescharacteristic
298#66977—21no—
299#66977—21no—
300#66977C2311yescharacteristic
301#66977C2311yescharacteristic
302#66977C2311yescharacteristic
303C22×C11⋊C8C2311yescharacteristic
304C22×C11⋊C8C2311yescharacteristic
305#66971—42no—
306#66971—42no—
307Q16×D11—42no—
308#66967—42no—
309#66961—42no—
310C2×Dic44C2311yescharacteristic
311C2×Dic44C2311yescharacteristic
312#66957—42no—
313C2×D88C2311yescharacteristic
314C2×D88C2311yescharacteristic
315C2×#4314C2311yescharacteristic
316C2×#4314C2311yescharacteristic
317C2×#4314C2311yescharacteristic
318C2×#4314C2311yescharacteristic
319C2×#4314C2311yescharacteristic
320C2×#4313C2311yescharacteristic
321C2×#4313C2311yescharacteristic
322C2×#4313C2311yescharacteristic
323C2×C8×D11C2311yescharacteristic
324#66951—21no—
325#66950—21no—
326#66950—21no—
327#66950—21no—
328#66950C2311yescharacteristic
329#66950C2311yescharacteristic
330#66950C2311yescharacteristic
331#66950C2311yescharacteristic
332#66949—21no—
333#66949—21no—
334#66949—21no—
335#66949D411yescharacteristic
336#66948—21no—
337#66948—21no—
338#66948—21no—
339#66948C2311yescharacteristic
340#66948C2311yescharacteristic
341#66948C2311yescharacteristic
342#66948C2311yescharacteristic
343#66948C2311yescharacteristic
344#66947—21no—
345#66947—21no—
346#66947—21no—
347#66947—21no—
348#66947—21no—
349#66947—21no—
350#66947—21no—
351#66947D411yescharacteristic
352#66946—21no—
353#66946—21no—
354#66946—21no—
355#66946C2311yescharacteristic
356#66946C2311yescharacteristic
357#66945—21no—
358#66945C2311yescharacteristic
359#66945C2311yescharacteristic
360C4⋊C4×D11—21no—
361C4⋊C4×D11—21no—
362C4⋊C4×D11—21no—
363C4⋊C4×D11—21no—
364C4⋊C4×D11C2311yescharacteristic
365#66941—21no—
366#66941C2311yescharacteristic
367#66940C2311yescharacteristic
368#66939—21no—
369#66938—21no—
370#66938—21no—
371#66938—21no—
372#66938—21no—
373#66937—21no—
374#66937—21no—
375#66937—21no—
376#66937—21no—
377#66937—21no—
378#66937—21no—
379#66937D411yescharacteristic
380#66936—21no—
381#66936—21no—
382#66936—21no—
383#66936—21no—
384#66936—21no—
385#66936—21no—
386#66936—21no—
387#66936—21no—
388#66936D411yescharacteristic
389#66935—21no—
390#66935—21no—
391#66935—21no—
392#66935—21no—
393#66935—21no—
394#66935—21no—
395#66935D411yescharacteristic
396(C22⋊D11)⋊C4—21no—
397C22⋊C4×D11—21no—
398C22⋊C4×D11—21no—
399C22⋊C4×D11—21no—
400C22⋊C4×D11—21no—
401C22⋊C4×D11—21no—
402#66932—21no—
403#66931—21no—
404#66931—21no—
405#66931—21no—
406#66931—21no—
407#66931D411yescharacteristic
408#66929—21no—
409#66929—21no—
410#66928—21no—
411#66928—21no—
412#66928—21no—
413#66928—21no—
414#66928C2311yescharacteristic
415#66927—21no—
416C4×D44—21no—
417C4×D44—21no—
418C4×D44—21no—
419C4×D44—21no—
420C4×D44—21no—
421C4×D44C2311yescharacteristic
422C4×D44C2311yescharacteristic
423C4×D44C2311yescharacteristic
424#66925—21no—
425#66925—21no—
426#66925C2311yescharacteristic
427#66922—21no—
428#66922C2311yescharacteristic
429C4×Dic22—21no—
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
446C11×#97C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
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(C2×D11)⋊C8C2311yescharacteristic
464#66881C2311yescharacteristic
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#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61627—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11C2×D411yescharacteristic
494C11×#41—22no—
495C11×#41—41no—
496C2×Q8×C11—21no—
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×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⋊D11C2×D411yescharacteristic
519C2×C22⋊D11C2×D411yescharacteristic
520C2×C22⋊D11C2×D411yescharacteristic
521C2×C22⋊D11C2×D411yescharacteristic
522C22×Dic11—21no—
523C22×Dic11C2×D411yescharacteristic
524#4343—22no—
525#4343—22no—
526#4343—22no—
527#4343—41no—
528#4343—41no—
529#4343—41no—
530#4343—44no—
531Q8×D11—22no—
532Q8×D11—22no—
533Q8×D11—41no—
534Q8×D11—41no—
535Q8×D11—41no—
536Q8×D11—41no—
537Q8×D11—41no—
538Q8×D11—41no—
539Q8×D11—44no—
540#4341—41no—
541#4341—41no—
542#4341—44no—
543D4×D11—22no—
544D4×D11—41no—
545D4×D11—44no—
546#4339—22no—
547#4339—22no—
548#4339—41no—
549#4339—41no—
550#4339—41no—
551#4339—41no—
552#4339—41no—
553#4339—41no—
554#4339—44no—
555#4339—44no—
556#4339—44no—
557C2×D44—21no—
558C2×D44—21no—
559C2×D44—21no—
560C2×D44—21no—
561C2×D44—21no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—41no—
567C2×D44—41no—
568C2×D44C2×D411yescharacteristic
569C2×D44C2×D411yescharacteristic
570C2×D44C2411yescharacteristic
571C2×D44C2411yescharacteristic
572C2×D44C2411yescharacteristic
573C2×C4×D11—21no—
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—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—41no—
589C2×C4×D11—41no—
590C2×C4×D11—44no—
591C2×C4×D11C2×D411yescharacteristic
592C2×C4×D11C2×D411yescharacteristic
593C2×C4×D11C2411yescharacteristic
594C2×C4×D11C2411yescharacteristic
595C2×C4×D11C2411yescharacteristic
596C2×Dic22—21no—
597C2×Dic22—21no—
598C2×Dic22—21no—
599C2×Dic22—21no—
600C2×Dic22—21no—
601C2×Dic22C2×D411yescharacteristic
602C2×Dic22C2411yescharacteristic
603C2×Dic22C2411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C11×Q16—22no—
606C11×Q16—41no—
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⋊C4—21no—
620C11×C4⋊C4C2×D411yescharacteristic
621C11×C4⋊C4C2411yescharacteristic
622C11×C4⋊C4C2411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
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×C11—21no—
639C42×C11C2411yescharacteristic
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—22no—
653#4325—22no—
654#4325—22no—
655#4325—41no—
656#4325—41no—
657#4324—41no—
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)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4C2×D411yescharacteristic
683(C2×D11)⋊C4C2×D411yescharacteristic
684(C2×D11)⋊C4C2×D411yescharacteristic
685(C2×D11)⋊C4C2×D411yescharacteristic
686(C2×D11)⋊C4C2×D411yescharacteristic
687(C2×D11)⋊C4C2×D411yescharacteristic
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11C2×D411yescharacteristic
696C4⋊Dic11C2411yescharacteristic
697C4⋊Dic11C2411yescharacteristic
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⋊C4—21no—
708Dic11⋊C4C2×D411yescharacteristic
709Dic11⋊C4C2×D411yescharacteristic
710Dic11⋊C4C2×D411yescharacteristic
711Dic11⋊C4C2×D411yescharacteristic
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11C2411yescharacteristic
717C2×C11⋊C8—41no—
718C2×C11⋊C8—41no—
719C2×C11⋊C8C2411yescharacteristic
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723Dic44—41no—
724Dic44—41no—
725D88—22no—
726D88—22no—
727#4314—22no—
728#4314—41no—
729#4314—41no—
730#4314—41no—
731#4314—41no—
732#4313—41no—
733#4313—41no—
734#4313—41no—
735C8×D11—41no—
736#3540—111no—
737#3489—111no—
738#3329—111no—
739#3328—111no—
740#3321—111no—
741#3319—111no—
742#3313D1111yescharacteristic, complemented
743#3311—111no—
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×C11C22×D411yescharacteristic
769C23×C11C22×D411yescharacteristic
770C22×D11—21no—
771C22×D11—21no—
772C22×D11—21no—
773C22×D11—41no—
774C22×D11—41no—
775C22×D11—41no—
776C22×D11—42no—
777C22×D11—42no—
778C22×D11—81no—
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—21no—
790Q8×C11—42no—
791Q8×C11—81no—
792Q8×C11H(5,𝔽2)12yes—
793D4×C11—21no—
794D4×C11—21no—
795D4×C11—41no—
796D4×C11—42no—
797D4×C11—81no—
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—21no—
809C2×C4×C11—42no—
810C2×C4×C11—42no—
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C22×D411yescharacteristic
813C2×C4×C11C22×D411yescharacteristic
814C2×C4×C11C22×D411yescharacteristic
815C2×C4×C11C2511yescharacteristic
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—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—41no—
833C2×Dic11—42no—
834C2×Dic11C22×D411yescharacteristic
835C2×Dic11C22×D411yescharacteristic
836C2×Dic11C22×D411yescharacteristic
837C2×Dic11C22×D411yescharacteristic
838C2×Dic11C22×D411yescharacteristic
839D44—24no—
840D44—21no—
841D44—21no—
842D44—21no—
843D44—21no—
844D44—21no—
845D44—41no—
846D44—41no—
847D44—42no—
848D44—81no—
849D44—81no—
850D44—81no—
851D44—81no—
852D44—81no—
853D44—81no—
854D44—81no—
855D44H(5,𝔽2)12yes—
856C4×D11—24no—
857C4×D11—21no—
858C4×D11—21no—
859C4×D11—21no—
860C4×D11—21no—
861C4×D11—21no—
862C4×D11—21no—
863C4×D11—41no—
864C4×D11—41no—
865C4×D11—42no—
866C4×D11—42no—
867C4×D11—42no—
868C4×D11—42no—
869C4×D11—42no—
870C4×D11—42no—
871C4×D11—81no—
872C4×D11—81no—
873C4×D11—81no—
874C4×D11—81no—
875C4×D11—81no—
876C4×D11—81no—
877C4×D11—81no—
878C4×D11—81no—
879Dic22—21no—
880Dic22—21no—
881Dic22—21no—
882Dic22—21no—
883Dic22—21no—
884Dic22—21no—
885Dic22—41no—
886Dic22—42no—
887Dic22—42no—
888Dic22—42no—
889Dic22—81no—
890Dic22—81no—
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, complemented
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#548C2×D1111yescharacteristic
923#547—111no—
924#547—111no—
925#547—221no—
926#547—221no—
927#546—111no—
928#546—111no—
929#546—111no—
930#546—111no—
931#546—221no—
932#546—221no—
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#477C2×D1111yescharacteristic, complemented
973#476—111no—
974#475—111no—
975#474—111no—
976#470—111no—
977#470—111no—
978#470—111no—
979#469—111no—
980#468—111no—
981#468—111no—
982#468—111no—
983#468C2×D1111yescharacteristic, complemented
984#467—111no—
985#467—111no—
986#467C2×D1111yescharacteristic, complemented
987#466—111no—
988#465—111no—
989#465—111no—
990#465—111no—
991#465—111no—
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#451C2×D1111yescharacteristic, complemented
1022#450—111no—
1023#450—111no—
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#441C2×D1111yescharacteristic, complemented
1042#440—111no—
1043#440—111no—
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, complemented
1054C8×D4—111no—
1055C8×D4—111no—
1056#433—111no—
1057#433—111no—
1058#419—111no—
1059#419—111no—
1060#419C2×D1111yescharacteristic, complemented
1061#418—111no—
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—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11C23×D411yescharacteristic
1080C2×D11—21no—
1081C2×D11—21no—
1082C2×D11—21no—
1083C2×D11—21no—
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—22no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—41no—
1091C2×D11—41no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—82no—
1099C2×D11—84no—
1100C2×D11—162no—
1101C4×C11—21no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—22no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11—41no—
1112C4×C11C2×H(5,𝔽2)11yescharacteristic
1113C4×C11C2×H(5,𝔽2)11yescharacteristic
1114Dic11—21no—
1115Dic11—21no—
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—221no—
1147C22×Q8C22×D1111yescharacteristic
1148C22×D4—111no—
1149C22×D4—111no—
1150C22×D4—221no—
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—442no—
1166C2×Q16C22×D1111yescharacteristic
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—111no—
1179C2×SD16—442no—
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—21no—
1209#124—111no—
1210#124—111no—
1211#124—111no—
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—111no—
1226#123—111no—
1227#123—221no—
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—21no—
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—111no—
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—111no—
1298#120—111no—
1299#120—221no—
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—221no—
1311C4×Q8C22×D1111yescharacteristic
1312C4×Q8C22×D1111yescharacteristic
1313C4×D4—21no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—111no—
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×D4—221no—
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—221no—
1347C2×C22⋊C4—221no—
1348C2×C22⋊C4—221no—
1349C2×C22⋊C4—221no—
1350C2×C22⋊C4—221no—
1351#107—111no—
1352#107—111no—
1353#107C22×D1111yescharacteristic
1354#107C22×D1111yescharacteristic
1355#106—111no—
1356#106—111no—
1357#106—111no—
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#103C22×D1111yescharacteristic
1377#103C22×D1111yescharacteristic
1378#103C22×D1111yescharacteristic
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#102—111no—
1390#102—111no—
1391#102—111no—
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—81no—
1414C2×C11#348411yescharacteristic
1415C2×C11#358411yescharacteristic
1416C2×C11#358611yescharacteristic
1417D11—41no—
1418D11—41no—
1419D11—41no—
1420D11—42no—
1421D11—81no—
1422D11—81no—
1423C24—111no—
1424C24—221no—
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—441no—
1438#41—441no—
1439#41—444no—
1440#41—444no—
1441#41—444no—
1442#41—441no—
1443#41—441no—
1444#41—444no—
1445#41—441no—
1446#41—441no—
1447#41—441no—
1448#41—444no—
1449C2×Q8—21no—
1450C2×Q8—21no—
1451C2×Q8—22no—
1452C2×Q8—41no—
1453C2×Q8—111no—
1454C2×Q8—111no—
1455C2×Q8—111no—
1456C2×Q8—111no—
1457C2×Q8—221no—
1458C2×Q8—221no—
1459C2×Q8—221no—
1460C2×Q8—221no—
1461C2×Q8—221no—
1462C2×Q8—222no—
1463C2×Q8—222no—
1464C2×Q8—441no—
1465C2×Q8—441no—
1466C2×Q8—441no—
1467C2×Q8—441no—
1468C2×Q8—444no—
1469C2×Q8—441no—
1470C2×Q8—441no—
1471C2×Q8C23×D1111yescharacteristic
1472C2×Q8C23×D1111yescharacteristic
1473C2×Q8C23×D1111yescharacteristic
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—111no—
1477C2×D4—111no—
1478C2×D4—111no—
1479C2×D4—111no—
1480C2×D4—111no—
1481C2×D4—111no—
1482C2×D4—111no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—222no—
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—441no—
1505C2×D4—444no—
1506C2×D4D4×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—22no—
1538Q16—41no—
1539Q16—222no—
1540Q16—441no—
1541Q16—441no—
1542Q16—441no—
1543Q16—441no—
1544Q16—441no—
1545SD16—41no—
1546SD16—222no—
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—21no—
1583C4⋊C4—111no—
1584C4⋊C4—111no—
1585C4⋊C4—111no—
1586C4⋊C4—111no—
1587C4⋊C4—111no—
1588C4⋊C4—111no—
1589C4⋊C4—111no—
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—111no—
1621C22⋊C4—111no—
1622C22⋊C4—111no—
1623C22⋊C4—111no—
1624C22⋊C4—111no—
1625C22⋊C4—111no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—221no—
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—21no—
1662C42—111no—
1663C42—221no—
1664C42—221no—
1665C42—221no—
1666C42—221no—
1667C42C23×D1111yescharacteristic
1668C11#6162711yescharacteristic, complemented, Sylow
1669C23—21no—
1670C23—111no—
1671C23—111no—
1672C23—111no—
1673C23—221no—
1674C23—221no—
1675C23—221no—
1676C23—441no—
1677C23—441no—
1678C23—441no—
1679C23—442no—
1680C23—442no—
1681C23—881no—
1682C23—881no—
1683C23—881no—
1684C23—881no—
1685C23C2×D4×D1111yescharacteristic
1686C23C2×D4×D1111yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—42no—
1693Q8—81no—
1694Q8—221no—
1695Q8—221no—
1696Q8—221no—
1697Q8—221no—
1698Q8—221no—
1699Q8—221no—
1700Q8—441no—
1701Q8—442no—
1702Q8—442no—
1703Q8—442no—
1704Q8—881no—
1705Q8—881no—
1706Q8#6704212yes—
1707D4—21no—
1708D4—21no—
1709D4—41no—
1710D4—42no—
1711D4—81no—
1712D4—112no—
1713D4—224no—
1714D4—221no—
1715D4—221no—
1716D4—221no—
1717D4—221no—
1718D4—221no—
1719D4—441no—
1720D4—441no—
1721D4—442no—
1722D4—441no—
1723D4—441no—
1724D4—441no—
1725D4—441no—
1726D4—442no—
1727D4—442no—
1728D4—442no—
1729D4—442no—
1730D4—881no—
1731D4—881no—
1732D4—881no—
1733D4—881no—
1734D4—881no—
1735D4—881no—
1736D4—881no—
1737D4—881no—
1738D4—881no—
1739D4—881no—
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—21no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—111no—
1754C2×C4—111no—
1755C2×C4—111no—
1756C2×C4—111no—
1757C2×C4—111no—
1758C2×C4—224no—
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—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—441no—
1779C2×C4—442no—
1780C2×C4—881no—
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—21no—
1806C22—21no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—221no—
1811C22—221no—
1812C22—221no—
1813C22—222no—
1814C22—221no—
1815C22—221no—
1816C22—221no—
1817C22—221no—
1818C22—221no—
1819C22—221no—
1820C22—441no—
1821C22—441no—
1822C22—441no—
1823C22—441no—
1824C22—441no—
1825C22—441no—
1826C22—441no—
1827C22—441no—
1828C22—882no—
1829C22—884no—
1830C22—1762no—
1831C22C22×D4×D1111yescharacteristic
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—22no—
1836C4—21no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—221no—
1844C4—221no—
1845C4—221no—
1846C4—221no—
1847C4—221no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4C2×#6704211yescharacteristic
1854C4D11×H(5,𝔽2)11yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—81no—
1858C2—441no—
1859C2—441no—
1860C2—441no—
1861C2—442no—
1862C2—881no—
1863C2—881no—
1864C2#1308224611yescharacteristic
1865C2#1308338911yescharacteristic
1866C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3313C2
socleC22×C11C23×D4
hypercenter#3313D11
hypocenterC11#61627
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3313

Complements

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

NH ≅ G/Ntype
1. #13082892C2semidirect
2. #13082295C2semidirect
3. #13080907C2semidirect
4. #13080895C2semidirect
5. #13080798C2semidirect
6. #13080771C2semidirect
7. #13080650C2semidirect
8. #13080542C2semidirect
9. #13080527C2semidirect
10. #13080355C2semidirect
11. #13080324C2semidirect
12. #13080242C2semidirect
13. #13080224C2semidirect
14. #13080188C2semidirect
15. #13080168C2semidirect
16. #13080146C2semidirect
17. #13080119C2semidirect
18. #13079730C2semidirect
19. #13079726C2semidirect
20. #13079493C2semidirect
21. #13079466C2semidirect
22. #13079450C2semidirect
23. #13079398C2semidirect
24. #13078891C2semidirect
25. #13078885C2semidirect
26. #13077906C2semidirect
27. #13077903C2semidirect
28. #13077859C2semidirect
29. #13077836C2semidirect
30. #13077665C2semidirect
31. C11×#3313C2semidirect
32. C2×#41×D11C22semidirect
34. C11×#556C22semidirect
36. #10623362C22semidirect
39. C22×#4325C22semidirect
41. C2×#66971C22semidirect
42. C2×Q16×D11C22semidirect
44. C2×#66961C22semidirect
47. #10623264C22semidirect
55. #10623207C22semidirect
57. #10623206C22semidirect
58. #10623164C22semidirect
60. #10623162C22semidirect
62. #10623159C22semidirect
65. D11×C22⋊Q8C22semidirect
72. #10623113C22semidirect
74. Q8×D44C22semidirect
75. #10623105C22semidirect
78. #10623081C22semidirect
82. #10623063C22semidirect
83. #10623056C22semidirect
85. C11×#489C22semidirect
86. C11×#485C22semidirect
87. C11×#482C22semidirect
88. C11×#477C22semidirect
89. C11×#468C22semidirect
90. C11×#467C22semidirect
91. C11×#464C22semidirect
92. C11×#452C22semidirect
93. C11×#451C22semidirect
94. C11×#441C22semidirect
95. C11×#435C22semidirect
96. C11×#419C22semidirect
97. C11×#416C22semidirect
99. #10622841C22semidirect
100. #10622803C22semidirect
102. #10622800C22semidirect
103. #10622799C22semidirect
104. #10622798C22semidirect
105. #10622786C22semidirect
106. #10622783C22semidirect
107. #10622781C22semidirect
108. #10622750C22semidirect
109. #10622742C22semidirect
111. #10622727C22semidirect
112. #10622724C22semidirect
113. C2×(C2×D11)⋊C8C22semidirect
114. #10622706C22semidirect
115. #10622700C22semidirect
116. #10622672C22semidirect
117. #10622670C22semidirect
118. #10622664C22semidirect
119. #10622664C22semidirect
120. #10622661C22semidirect
121. #10622660C22semidirect
122. #10622660C22semidirect
123. #10622660C22semidirect
124. #10622654C22semidirect
125. #10622649C22semidirect
126. #10622644C22semidirect
127. #10622641C22semidirect
128. C4×#4325C22semidirect
129. C4×#4325C22semidirect
130. D4×C11⋊C8C22semidirect
131. #10622615C22semidirect
132. #10622615C22semidirect
133. #10622609C22semidirect
134. #10622609C22semidirect
135. #10622502C22semidirect
136. #10622501C22semidirect
137. #10622501C22semidirect
139. #10622499C22semidirect
140. #10622497C22semidirect
141. #10622495C22semidirect
142. #10622485C22semidirect
143. #10622483C22semidirect
144. #10622481C22semidirect
145. #10622477C22semidirect
146. #10622476C22semidirect
147. #10622457C22semidirect
148. #10622454C22semidirect
149. #10622453C22semidirect
150. #10622451C22semidirect
151. #10622432C22semidirect
152. #10622431C22semidirect
153. #10622430C22semidirect
154. #10622429C22semidirect
155. #10622428C22semidirect
159. #10622424C22semidirect
160. #10622424C22semidirect
162. #10622423C22semidirect
163. #10622421C22semidirect
164. #10622421C22semidirect
165. #10622421C22semidirect
167. #10622419C22semidirect
168. #10622419C22semidirect
169. #10622419C22semidirect
170. #10622419C22semidirect
171. #10622418C22semidirect
172. #10622417C22semidirect
173. #10622415C22semidirect
174. #10622415C22semidirect
175. #10622406C22semidirect
176. #10622405C22semidirect
177. #10622404C22semidirect
178. #10622403C22semidirect
179. #10622400C22semidirect
180. #10622396C22semidirect
181. #10622395C22semidirect
184. #10622392C22semidirect
185. #10622389C22semidirect
186. #10622388C22semidirect
188. #10622383C22semidirect
189. #10622380C22semidirect
190. #10622378C22semidirect
192. #10622346C22semidirect
193. #10622346C22semidirect
194. #10622344C22semidirect
196. #10622340C22semidirect
197. #10622339C22semidirect
198. (C22⋊D11)⋊C8C22semidirect
199. #10622328C22semidirect
200. #10622324C22semidirect
201. #10622322C22semidirect
202. #10622319C22semidirect
742. #3313D11semidirect
913. #556C2×D11semidirect
957. #489C2×D11semidirect
965. #485C2×D11semidirect
969. #482C2×D11semidirect
972. #477C2×D11semidirect
983. #468C2×D11semidirect
986. #467C2×D11semidirect
995. #464C2×D11semidirect
1015. #452C2×D11semidirect
1021. #451C2×D11semidirect
1041. #441C2×D11semidirect
1053. #435C2×D11semidirect
1060. #419C2×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
#130822952
#130809072
#130808952
#130807982
#130807712
#130806502
#130805422
#130805272
#130803552
#130803242
#130802422
#130802242
#130801882
#130801682
#130801462
#130801192
#130797302
#130797262
#130794932
#130794662
#130794502
#130793982
#130788912
#130788852
#130779062
#130779032
#130778592
#130778362
#130776652
C11×#33132
#6162711