Finite Group Databasebeta

← #15639520

Subgroups — #15639520

Order 2816.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082913C211yesmaximal, characteristic, complemented
2#13082270C211yesmaximal, characteristic, complemented
3#13080952C211yesmaximal, characteristic, complemented
4#13080872C211yesmaximal, characteristic, complemented
5#13080748C211yesmaximal, characteristic, complemented
6#13080730C211yesmaximal, characteristic, complemented
7#13080688C211yesmaximal, characteristic, complemented
8#13080625C211yesmaximal, characteristic, complemented
9#13080550C211yesmaximal, characteristic, complemented
10#13080498C211yesmaximal, characteristic, complemented
11#13080360C211yesmaximal, characteristic, complemented
12#13080343C211yesmaximal, characteristic, complemented
13#13080280C211yesmaximal, characteristic, complemented
14#13080273C211yesmaximal, characteristic, complemented
15#13080204C211yesmaximal, characteristic, complemented
16#13080198C211yesmaximal, characteristic, complemented
17#13080189C211yesmaximal, characteristic, complemented
18#13080168C211yesmaximal, characteristic, complemented
19#13079716C211yesmaximal, characteristic, complemented
20#13079686C211yesmaximal, characteristic, complemented
21#13079487C211yesmaximal, characteristic, complemented
22#13079474C211yesmaximal, characteristic, complemented
23#13079453C211yesmaximal, characteristic, complemented
24#13078912C211yesmaximal, characteristic, complemented
25#13078848C211yesmaximal, characteristic, complemented
26#13077935C211yesmaximal, characteristic, complemented
27#13077908C211yesmaximal, characteristic, complemented
28#13077874C211yesmaximal, characteristic, complemented
29#13077838C211yesmaximal, characteristic, complemented
30#13077661C211yesmaximal, characteristic, complemented
31C11×#3190C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C11×#525C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36#10623361C2211yescharacteristic
37#10623348C2211yescharacteristic, complemented
38Q8×C22⋊D11C2211yescharacteristic, complemented
39C2×#66995C2211yescharacteristic
40C2×#66995C2211yescharacteristic
41#10623322C2211yescharacteristic
42#10623322C2211yescharacteristic
43C2×#66971C2211yescharacteristic, complemented
44C2×Q16×D11C2211yescharacteristic, complemented
45C2×#66969C2211yescharacteristic, complemented
46C2×#66968C2211yescharacteristic, complemented
47C2×#66957C2211yescharacteristic
48C2×#66957C2211yescharacteristic
49#10623187—21no—
50#10623187—21no—
51#10623178—21no—
52#10623177—21no—
53#10623174C2211yescharacteristic
54#10623172C2211yescharacteristic, complemented
55#10623171—21no—
56#10623170C2211yescharacteristic, complemented
57#10623169—21no—
58#10623164C2211yescharacteristic
59#10623164C2211yescharacteristic
60#10623164C2211yescharacteristic
61#10623164C2211yescharacteristic
62#10623164C2211yescharacteristic, complemented
63#10623162C2211yescharacteristic, complemented
64#10623160C2211yescharacteristic
65#10623159C2211yescharacteristic
66#10623156C2211yescharacteristic
67#10623130C2211yescharacteristic
68#10623130C2211yescharacteristic
69#10623130C2211yescharacteristic
70#10623130C2211yescharacteristic
71#10623123—21no—
72#10623123—21no—
73#10623084—21no—
74#10623084—21no—
75#10623083—21no—
76#10623083—21no—
77#10623056C2211yescharacteristic
78#10623047C2211yescharacteristic
79#10623045—21no—
80#10623045C2211yescharacteristic, complemented
81#10623042—21no—
82#10623042C2211yescharacteristic, complemented
83#10623025—21no—
84#10623025—21no—
85C11×#485C2211yescharacteristic
86C11×#485C2211yescharacteristic
87C11×#483C2211yescharacteristic, complemented
88C11×#480C2211yescharacteristic, complemented
89C11×#467C2211yescharacteristic, complemented
90C11×#467C2211yescharacteristic, complemented
91C11×#465C2211yescharacteristic, complemented
92C11×#465C2211yescharacteristic, complemented
93C11×#452C2211yescharacteristic
94C11×#452C2211yescharacteristic
95C11×#451C2211yescharacteristic, complemented
96C11×#448C2211yescharacteristic, complemented
97C2×C11×C22⋊C8C2211yescharacteristic
98#10622852C2211yescharacteristic
99#10622851C2211yescharacteristic
100#10622820C2211yescharacteristic
101#10622804C2211yescharacteristic, complemented
102#10622803C2211yescharacteristic, complemented
103#10622799C2211yescharacteristic, complemented
104#10622799C2211yescharacteristic, complemented
105#10622798C2211yescharacteristic, complemented
106#10622798C2211yescharacteristic, complemented
107#10622789C2211yescharacteristic, complemented
108#10622788C2211yescharacteristic, complemented
109#10622786C2211yescharacteristic, complemented
110#10622786C2211yescharacteristic, complemented
111#10622776C2211yescharacteristic, complemented
112#10622776C2211yescharacteristic, complemented
113#10622726C2211yescharacteristic
114#10622726C2211yescharacteristic
115#10622724C2211yescharacteristic, complemented
116#10622724C2211yescharacteristic, complemented
117C8×C22⋊D11C2211yescharacteristic, complemented
118C8×C22⋊D11C2211yescharacteristic, complemented
119#10622665C2211yescharacteristic, complemented
120#10622663C2211yescharacteristic
121#10622663C2211yescharacteristic
122#10622662C2211yescharacteristic, complemented
123#10622660C2211yescharacteristic
124#10622660C2211yescharacteristic
125#10622660C2211yescharacteristic
126#10622660C2211yescharacteristic
127#10622660C2211yescharacteristic, complemented
128#10622659C2211yescharacteristic
129#10622659C2211yescharacteristic
130#10622658C2211yescharacteristic, complemented
131#10622655C2211yescharacteristic, complemented
132#10622652C2211yescharacteristic, complemented
133#10622650C2211yescharacteristic, complemented
134#10622648C2211yescharacteristic, complemented
135#10622616C2211yescharacteristic
136#10622609C2211yescharacteristic
137#10622579C2211yescharacteristic
138#10622579C2211yescharacteristic
139#10622502C2211yescharacteristic, complemented
140#10622499C2211yescharacteristic, complemented
141#10622498C2211yescharacteristic, complemented
142#10622496C2211yescharacteristic, complemented
143#10622495C2211yescharacteristic, complemented
144#10622490C2211yescharacteristic, complemented
145#10622488C2211yescharacteristic, complemented
146#10622486C2211yescharacteristic, complemented
147#10622479C2211yescharacteristic, complemented
148#10622478C2211yescharacteristic, complemented
149#10622477C2211yescharacteristic, complemented
150#10622476C2211yescharacteristic, complemented
151#10622470C2211yescharacteristic, complemented
152#10622467C2211yescharacteristic, complemented
153#10622466C2211yescharacteristic, complemented
154#10622465C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622425C2211yescharacteristic, complemented
157#10622425C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic, complemented
159#10622424C2211yescharacteristic, complemented
160#10622421C2211yescharacteristic, complemented
161#10622420C2211yescharacteristic, complemented
162#10622420C2211yescharacteristic, complemented
163#10622419C2211yescharacteristic, complemented
164#10622419C2211yescharacteristic, complemented
165#10622419C2211yescharacteristic, complemented
166#10622415C2211yescharacteristic, complemented
167D11×#103C2211yescharacteristic, complemented
168#10622413C2211yescharacteristic, complemented
169#10622411C2211yescharacteristic, complemented
170#10622411C2211yescharacteristic, complemented
171#10622411C2211yescharacteristic, complemented
172#10622408C2211yescharacteristic, complemented
173#10622406C2211yescharacteristic, complemented
174#10622406C2211yescharacteristic, complemented
175#10622403C2211yescharacteristic, complemented
176#10622403C2211yescharacteristic, complemented
177#10622402C2211yescharacteristic, complemented
178#10622402C2211yescharacteristic, complemented
179#10622399C2211yescharacteristic, complemented
180#10622396C2211yescharacteristic, complemented
181#10622394C2211yescharacteristic, complemented
182#10622385C2211yescharacteristic, complemented
183#10622384C2211yescharacteristic, complemented
184#10622377C2211yescharacteristic, complemented
185#10622375C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic, complemented
187#10622352C2211yescharacteristic
188#10622351C2211yescharacteristic
189#10622347C2211yescharacteristic
190#10622347C2211yescharacteristic
191#10622346C2211yescharacteristic
192#10622346C2211yescharacteristic
193#10622345C2211yescharacteristic
194#10622344C2211yescharacteristic
195#10622342C2211yescharacteristic, complemented
196#10622342C2211yescharacteristic, complemented
197#10622341C2211yescharacteristic, complemented
198#10622341C2211yescharacteristic, complemented
199#10622340C2211yescharacteristic
200#10622340C2211yescharacteristic
201#10622333C2211yescharacteristic
202#10622333C2211yescharacteristic
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C22×C22⋊D11—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×#4341C2311yescharacteristic
216C2×#4341C2311yescharacteristic
217C2×#4339—21no—
218C2×#4339—21no—
219C2×#4339—21no—
220C2×#4339—42no—
221C2×#4339—42no—
222C2×#4339C2311yescharacteristic
223C2×#4339C2311yescharacteristic
224C2×#4339C2311yescharacteristic
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C22×D44C2311yescharacteristic
229C22×C4×D11—21no—
230C22×Dic22—21no—
231C22×Dic22C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×Q16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C22×C8×C11C2311yescharacteristic
238C11×#123—21no—
239C11×C22⋊Q8—21no—
240C11×C22⋊Q8—21no—
241C11×C22⋊Q8C2311yescharacteristic
242C11×C22⋊Q8C2311yescharacteristic
243C11×C22⋊Q8C2311yescharacteristic
244C11×C22⋊Q8C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C11×#121C2311yescharacteristic
248C11×#121C2311yescharacteristic
249C11×#120—21no—
250C4×D4×C11—21no—
251C4×D4×C11—21no—
252C11×#117C2311yescharacteristic
253C2×C11×C4⋊C4—21no—
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4—21no—
256#67006—21no—
257#67006D411yescharacteristic
258#67006D411yescharacteristic
259#67000—21no—
260#67000C2311yescharacteristic
261#67000C2311yescharacteristic
262#67000C2311yescharacteristic
263#66999—21no—
264#66999—21no—
265#66999C2311yescharacteristic
266#66999C2311yescharacteristic
267Q8×Dic11C2311yescharacteristic
268Q8×Dic11C2311yescharacteristic
269#66997—21no—
270#66997C2311yescharacteristic
271C2×#4326C2311yescharacteristic
272C2×#4326C2311yescharacteristic
273C2×#4326C2311yescharacteristic
274C2×#4326C2311yescharacteristic
275C2×#4326C2311yescharacteristic
276#66995—42no—
277#66995—42no—
278C2×#4325C2311yescharacteristic
279C2×#4325C2311yescharacteristic
280C2×#4325C2311yescharacteristic
281C2×#4325C2311yescharacteristic
282C2×#4325C2311yescharacteristic
283#66993—21no—
284#66993—21no—
285#66993—21no—
286#66993—21no—
287#66993C2311yescharacteristic
288#66993C2311yescharacteristic
289#66992—21no—
290#66992—21no—
291#66992—21no—
292#66992—21no—
293#66990—21no—
294#66990—21no—
295C2×#4324C2311yescharacteristic
296C2×#4323C2311yescharacteristic
297#66983—21no—
298#66983—21no—
299#66983—21no—
300#66983—21no—
301#66983D411yescharacteristic
302#66983D411yescharacteristic
303#66983C2311yescharacteristic
304#66983C2311yescharacteristic
305#66982—21no—
306#66982D411yescharacteristic
307#66982D411yescharacteristic
308C4×C22⋊D11—21no—
309C4×C22⋊D11—21no—
310C4×C22⋊D11—21no—
311C4×C22⋊D11—21no—
312C4×C22⋊D11—21no—
313C4×C22⋊D11—21no—
314C4×C22⋊D11C2311yescharacteristic
315C4×C22⋊D11C2311yescharacteristic
316C4×C22⋊D11C2311yescharacteristic
317C4×C22⋊D11C2311yescharacteristic
318#66979C2311yescharacteristic
319#66979C2311yescharacteristic
320#66977—21no—
321#66977—21no—
322#66977D411yescharacteristic
323#66977D411yescharacteristic
324#66977C2311yescharacteristic
325#66977C2311yescharacteristic
326C2×#4318C2311yescharacteristic
327C2×#4318C2311yescharacteristic
328#66971—42no—
329Q16×D11—42no—
330#66969—42no—
331#66968—42no—
332C2×Dic44C2311yescharacteristic
333C2×Dic44C2311yescharacteristic
334#66957—42no—
335#66957—42no—
336C2×D88C2311yescharacteristic
337C2×D88C2311yescharacteristic
338C2×#4314C2311yescharacteristic
339C2×#4314C2311yescharacteristic
340C2×#4314C2311yescharacteristic
341C2×#4314C2311yescharacteristic
342C2×#4313C2311yescharacteristic
343C2×#4313C2311yescharacteristic
344C2×C8×D11C2311yescharacteristic
345C2×C8×D11C2311yescharacteristic
346#66951—21no—
347#66951—21no—
348#66951—21no—
349#66950—21no—
350#66950C2311yescharacteristic
351#66949—21no—
352#66949—21no—
353#66949—21no—
354#66949—21no—
355#66949—21no—
356#66949—21no—
357#66949—21no—
358#66948—21no—
359#66948C2311yescharacteristic
360#66948C2311yescharacteristic
361#66948C2311yescharacteristic
362#66948C2311yescharacteristic
363#66948C2311yescharacteristic
364#66947—21no—
365#66947—21no—
366#66947—21no—
367#66946—21no—
368#66946—21no—
369#66946—21no—
370#66946—21no—
371#66946—21no—
372#66946C2311yescharacteristic
373#66945—21no—
374#66945C2311yescharacteristic
375C4⋊C4×D11—21no—
376C4⋊C4×D11C2311yescharacteristic
377#66943—21no—
378#66943C2311yescharacteristic
379#66942—21no—
380#66942—21no—
381#66942—21no—
382#66941—21no—
383#66941C2311yescharacteristic
384#66940—21no—
385#66940C2311yescharacteristic
386#66940C2311yescharacteristic
387#66940C2311yescharacteristic
388#66940C2311yescharacteristic
389#66940C2311yescharacteristic
390#66938—21no—
391#66938—21no—
392#66938—21no—
393#66938—21no—
394#66938—21no—
395#66938—21no—
396#66938—21no—
397#66938—21no—
398#66937—21no—
399#66937—21no—
400#66937—21no—
401#66937—21no—
402#66937—21no—
403#66937—21no—
404#66937—21no—
405#66937—21no—
406#66937—21no—
407#66937—21no—
408#66937—21no—
409#66937—21no—
410#66936—21no—
411#66936—21no—
412#66936—21no—
413#66936—21no—
414#66935—21no—
415#66935—21no—
416(C22⋊D11)⋊C4—21no—
417(C22⋊D11)⋊C4—21no—
418(C22⋊D11)⋊C4—21no—
419(C22⋊D11)⋊C4—21no—
420#66932—21no—
421#66932—21no—
422#66932—21no—
423#66932—21no—
424#66930—21no—
425#66930—21no—
426#66928—21no—
427#66927—21no—
428C4×Dic22—21no—
429C4×Dic22—21no—
430C11×#107C2311yescharacteristic
431C11×#107C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×#106C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#102C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×C22⋊C8C2311yescharacteristic
443C11×C22⋊C8C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450C22⋊(C11⋊C8)C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465#66880C2311yescharacteristic
466#66879C2311yescharacteristic
467#66879C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471Dic11⋊C8C2311yescharacteristic
472C8×Dic11C2311yescharacteristic
473C8×Dic11C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66873C2311yescharacteristic
485#66873C2311yescharacteristic
486#66872C2311yescharacteristic
487#66872C2311yescharacteristic
488#66871C2311yescharacteristic
489#66871C2311yescharacteristic
490#61615—111nomaximal, Sylow
491C24×C11C2×D411yescharacteristic
492C23×D11—21no—
493C11×#41—41no—
494C11×#41—41no—
495C2×Q8×C11—21no—
496C2×Q8×C11—41no—
497C2×Q8×C11—41no—
498C2×Q8×C11C2411yescharacteristic
499C2×Q8×C11C2411yescharacteristic
500C2×Q8×C11C2411yescharacteristic
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11C2411yescharacteristic
505C22×C4×C11—21no—
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11—41no—
509C22×C4×C11—41no—
510C22×C4×C11C2×D411yescharacteristic
511C22×C4×C11C2×D411yescharacteristic
512C22×C4×C11C2×D411yescharacteristic
513C22×C4×C11C2411yescharacteristic
514C22×C4×C11C2411yescharacteristic
515C22×C4×C11C2411yescharacteristic
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—44no—
530C2×C22⋊D11C2×D411yescharacteristic
531C2×C22⋊D11C2×D411yescharacteristic
532C2×C22⋊D11C2×D411yescharacteristic
533C2×C22⋊D11C2×D411yescharacteristic
534C2×C22⋊D11C2×D411yescharacteristic
535C2×C22⋊D11C2×D411yescharacteristic
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11—21no—
539#4343—41no—
540#4343—41no—
541Q8×D11—22no—
542Q8×D11—22no—
543Q8×D11—41no—
544Q8×D11—41no—
545Q8×D11—41no—
546Q8×D11—41no—
547#4341—22no—
548#4341—22no—
549#4341—41no—
550#4341—41no—
551#4341—44no—
552#4341—44no—
553#4339—22no—
554#4339—22no—
555#4339—22no—
556#4339—22no—
557#4339—41no—
558#4339—41no—
559#4339—41no—
560#4339—41no—
561#4339—41no—
562#4339—41no—
563#4339—41no—
564#4339—41no—
565#4339—44no—
566#4339—44no—
567#4339—44no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44—21no—
573C2×D44—21no—
574C2×D44—21no—
575C2×D44—41no—
576C2×D44—41no—
577C2×D44C2×D411yescharacteristic
578C2×D44C2411yescharacteristic
579C2×D44C2411yescharacteristic
580C2×D44C2411yescharacteristic
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—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—44no—
593C2×C4×D11C2411yescharacteristic
594C2×C4×D11C2411yescharacteristic
595C2×Dic22—22no—
596C2×Dic22—22no—
597C2×Dic22—21no—
598C2×Dic22—21no—
599C2×Dic22—21no—
600C2×Dic22—21no—
601C2×Dic22—21no—
602C2×Dic22—44no—
603C2×Dic22C2×D411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C2×Dic22C2411yescharacteristic
606C2×Dic22C2411yescharacteristic
607C11×Q16—41no—
608C11×Q16—41no—
609C11×SD16—41no—
610C11×SD16—41no—
611C2×C8×C11—41no—
612C2×C8×C11—41no—
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C2×C8×C11C2411yescharacteristic
616C2×C8×C11C2411yescharacteristic
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4C2411yescharacteristic
625C11×C4⋊C4C2411yescharacteristic
626C11×C4⋊C4C2411yescharacteristic
627C11×C4⋊C4C2411yescharacteristic
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C42×C11—21no—
638C22⋊Dic11—21no—
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11C2×D411yescharacteristic
642C22⋊Dic11C2×D411yescharacteristic
643C22⋊Dic11C2×D411yescharacteristic
644C22⋊Dic11C2×D411yescharacteristic
645C22⋊Dic11C2×D411yescharacteristic
646C22⋊Dic11C2×D411yescharacteristic
647#4326—22no—
648#4326—22no—
649#4326—22no—
650#4326—22no—
651#4326—41no—
652#4325—41no—
653#4325—41no—
654#4325—41no—
655#4325—41no—
656#4325—41no—
657#4324—41no—
658#4323—41no—
659(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
678(C2×D11)⋊C4C2×D411yescharacteristic
679(C2×D11)⋊C4C2×D411yescharacteristic
680(C2×D11)⋊C4C2×D411yescharacteristic
681C4⋊Dic11—21no—
682C4⋊Dic11—21no—
683C4⋊Dic11—21no—
684C4⋊Dic11—21no—
685C4⋊Dic11C2×D411yescharacteristic
686C4⋊Dic11C2×D411yescharacteristic
687C4⋊Dic11C2411yescharacteristic
688C4⋊Dic11C2411yescharacteristic
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4—21no—
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⋊C4C2×D411yescharacteristic
704Dic11⋊C4C2×D411yescharacteristic
705Dic11⋊C4C2×D411yescharacteristic
706Dic11⋊C4C2×D411yescharacteristic
707C4×Dic11—21no—
708C4×Dic11—21no—
709C4×Dic11—21no—
710C4×Dic11—21no—
711C4×Dic11—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11C2411yescharacteristic
717C4×Dic11C2411yescharacteristic
718#4318—41no—
719#4318—41no—
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724Dic44—22no—
725Dic44—22no—
726D88—41no—
727D88—41no—
728#4314—22no—
729#4314—22no—
730#4314—41no—
731#4314—41no—
732#4313—41no—
733#4313—41no—
734C8×D11—41no—
735C8×D11—41no—
736#3541—111no—
737#3487—111no—
738#3333—111no—
739#3326—111no—
740#3317—111no—
741#3316—111no—
742#3313—111no—
743#3309—111no—
744#3304—111no—
745#3300—111no—
746#3285—111no—
747#3284—111no—
748#3278—111no—
749#3277—111no—
750#3271—111no—
751#3271—111no—
752#3270—111no—
753#3269—111no—
754#3224—111no—
755#3222—111no—
756#3200—111no—
757#3198—111no—
758#3197—111no—
759#3190D1111yescharacteristic, complemented
760#3127—111no—
761#3121—111no—
762#3013—111no—
763#3011—111no—
764#3007—111no—
765#3002—111no—
766#2976—111no—
767C23×C11—21no—
768C23×C11—41no—
769C23×C11—41no—
770C23×C11—41no—
771C23×C11C22×D411yescharacteristic
772C23×C11C22×D411yescharacteristic
773C23×C11C22×D411yescharacteristic
774C22×D11—21no—
775C22×D11—21no—
776C22×D11—21no—
777C22×D11—42no—
778C22×D11—81no—
779C22×D11—81no—
780C22×D11C22×D411yescharacteristic
781C22×D11C22×D411yescharacteristic
782Q8×C11—21no—
783Q8×C11—21no—
784Q8×C11—21no—
785Q8×C11—21no—
786Q8×C11—21no—
787Q8×C11—21no—
788Q8×C11—81no—
789D4×C11—21no—
790D4×C11—21no—
791D4×C11—42no—
792D4×C11—81no—
793D4×C11—81no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
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—41no—
808C2×C4×C11—41no—
809C2×C4×C11—41no—
810C2×C4×C11—42no—
811C2×C4×C11—81no—
812C2×C4×C11—81no—
813C2×C4×C11C22×D411yescharacteristic
814C2×C4×C11C22×D411yescharacteristic
815C2×C4×C11C22×D411yescharacteristic
816C2×C4×C11C2511yescharacteristic
817C22⋊D11—41no—
818C22⋊D11—41no—
819C22⋊D11—41no—
820C22⋊D11—41no—
821C22⋊D11—41no—
822C22⋊D11—41no—
823C22⋊D11—42no—
824C22⋊D11—42no—
825C22⋊D11—42no—
826C22⋊D11—42no—
827C22⋊D11—42no—
828C22⋊D11—42no—
829C22⋊D11—42no—
830C22⋊D11—81no—
831C22⋊D11—81no—
832C22⋊D11—81no—
833C22⋊D11—81no—
834C22⋊D11—81no—
835C22⋊D11—81no—
836C2×Dic11—24no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—42no—
843C2×Dic11—42no—
844C2×Dic11C22×D411yescharacteristic
845C2×Dic11C22×D411yescharacteristic
846C2×Dic11C22×D411yescharacteristic
847C2×Dic11C22×D411yescharacteristic
848C2×Dic11C22×D411yescharacteristic
849C2×Dic11C22×D411yescharacteristic
850D44—21no—
851D44—21no—
852D44—21no—
853D44—21no—
854D44—21no—
855D44—21no—
856D44—41no—
857D44—42no—
858D44—81no—
859D44—81no—
860D44—81no—
861D44—81no—
862D44—81no—
863D44—81no—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—21no—
867C4×D11—21no—
868C4×D11—42no—
869C4×D11—42no—
870C4×D11—42no—
871C4×D11—42no—
872C4×D11—42no—
873C4×D11—42no—
874C4×D11—81no—
875C4×D11—81no—
876C4×D11—81no—
877C4×D11—81no—
878C4×D11—81no—
879Dic22—24no—
880Dic22—21no—
881Dic22—21no—
882Dic22—21no—
883Dic22—21no—
884Dic22—41no—
885Dic22—42no—
886Dic22—42no—
887Dic22—81no—
888Dic22—81no—
889Dic22H(5,𝔽2)12yes—
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×#137—111no—
904C2×#137—111no—
905C2×#135—111no—
906C2×#135—111no—
907C2×#135—111no—
908C22×Q16—111no—
909#563—221no—
910#562—221no—
911#556—111no—
912#554—111no—
913#554—221no—
914#553—111no—
915#553—221no—
916#552—111no—
917#550—111no—
918#550—111no—
919#550—111no—
920#550—111no—
921#550—221no—
922#550—221no—
923D4×Q8—111no—
924#548—111no—
925#548—111no—
926#548—111no—
927#548—111no—
928#548—111no—
929#548—111no—
930#548—221no—
931#548—221no—
932#547—111no—
933#542—111no—
934#542—221no—
935#541—111no—
936#539—221no—
937#538—221no—
938#538—221no—
939#537—111no—
940#536—111no—
941#535—111no—
942#535—111no—
943#535—221no—
944#535—221no—
945#525—111no—
946#525—111no—
947#525—221no—
948#525—221no—
949#525C2×D1111yescharacteristic
950C2×C22⋊Q8C2×D1111yescharacteristic
951#519—111no—
952#497—111no—
953#496—111no—
954#495—111no—
955#492—111no—
956#490—111no—
957#489—111no—
958#488—111no—
959#486—111no—
960#485—111no—
961#485—111no—
962#485C2×D1111yescharacteristic
963#485C2×D1111yescharacteristic
964#483C2×D1111yescharacteristic, complemented
965#482—111no—
966#482—111no—
967#482—111no—
968#482—111no—
969#481—111no—
970#480—111no—
971#480C2×D1111yescharacteristic, complemented
972#479—111no—
973#479—111no—
974#477—111no—
975#475—111no—
976#470—111no—
977#469—111no—
978#469—111no—
979#468—111no—
980#468—111no—
981#468—111no—
982#468—111no—
983#468—111no—
984#467C2×D1111yescharacteristic, complemented
985#467C2×D1111yescharacteristic, complemented
986#466—111no—
987#465—111no—
988#465—111no—
989#465—111no—
990#465C2×D1111yescharacteristic, complemented
991#465C2×D1111yescharacteristic, complemented
992#464—111no—
993#464—111no—
994#464—111no—
995#464—111no—
996#464—111no—
997#463—111no—
998#462—111no—
999#462—111no—
1000#460—111no—
1001#460—111no—
1002#460—111no—
1003#459—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
1016#452C2×D1111yescharacteristic
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#451C2×D1111yescharacteristic, complemented
1024#450—111no—
1025#450—111no—
1026#450—111no—
1027#449—111no—
1028#449—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#448—111no—
1035#448—111no—
1036#448—111no—
1037#448—111no—
1038#448C2×D1111yescharacteristic, complemented
1039#447—111no—
1040#441—111no—
1041#441—111no—
1042#441—111no—
1043#440—111no—
1044C4×Q16—111no—
1045C4×Q16—111no—
1046C4×Q16—111no—
1047C4×SD16—111no—
1048#436—111no—
1049#436—111no—
1050#435—111no—
1051#435—111no—
1052#435—111no—
1053#435—111no—
1054C8×D4—111no—
1055C8×D4—111no—
1056#433—111no—
1057#433—111no—
1058#419—111no—
1059#417—111no—
1060#417—111no—
1061#417—111no—
1062#416—111no—
1063#416—111no—
1064#416—111no—
1065C2×#103—111no—
1066#408—111no—
1067#408—111no—
1068#407—111no—
1069C2×C22⋊C8C2×D1111yescharacteristic
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—21no—
1075C22×C11—21no—
1076C22×C11—21no—
1077C22×C11—21no—
1078C22×C11—21no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11—82no—
1083C22×C11C23×D411yescharacteristic
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—21no—
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—41no—
1099C2×D11—84no—
1100C4×C11—21no—
1101C4×C11—21no—
1102C4×C11—21no—
1103C4×C11—41no—
1104C4×C11—41no—
1105C4×C11—41no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11C2×H(5,𝔽2)11yescharacteristic
1111C4×C11C2×H(5,𝔽2)11yescharacteristic
1112Dic11—21no—
1113Dic11—21no—
1114Dic11—21no—
1115Dic11—21no—
1116Dic11—22no—
1117Dic11—22no—
1118Dic11—21no—
1119Dic11—21no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
11232−1+4—442no—
11242−1+4—442no—
1125C2×#41—111no—
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—221no—
1150C23×C4—221no—
1151C23×C4C22×D1111yescharacteristic
1152#137—442no—
1153#137—442no—
1154#137—442no—
1155#137—442no—
1156#135—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×Q16C22×D1111yescharacteristic
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×SD16C22×D1111yescharacteristic
1180C2×SD16C22×D1111yescharacteristic
1181C2×D8—111no—
1182C2×D8—111no—
1183C2×D8—111no—
1184C2×M16—111no—
1185C2×M16—111no—
1186C2×M16—111no—
1187C2×M16—111no—
1188C22×C8—111no—
1189C22×C8—111no—
1190C22×C8C22×D1111yescharacteristic
1191C22×C8C22×D1111yescharacteristic
1192C4⋊Q8—111no—
1193C4⋊Q8—111no—
1194C4⋊Q8—221no—
1195C4⋊Q8—221no—
1196#127—111no—
1197#127—111no—
1198#127—221no—
1199#127—221no—
1200#127—221no—
1201#127—221no—
1202#127—221no—
1203#126—221no—
1204#126—221no—
1205#126—221no—
1206#126—221no—
1207#126—221no—
1208#126—221no—
1209#126—221no—
1210#125—111no—
1211#125—221no—
1212#125—221no—
1213#125—221no—
1214#125—221no—
1215#124—111no—
1216#124—111no—
1217#124—111no—
1218#124—221no—
1219#124—221no—
1220#124—221no—
1221#124—221no—
1222#124—221no—
1223#124—221no—
1224#124—221no—
1225#124—221no—
1226#124—221no—
1227#124—221no—
1228#123—21no—
1229#123—111no—
1230#123—111no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239C22⋊Q8—21no—
1240C22⋊Q8—21no—
1241C22⋊Q8—111no—
1242C22⋊Q8—111no—
1243C22⋊Q8—111no—
1244C22⋊Q8—111no—
1245C22⋊Q8—111no—
1246C22⋊Q8—111no—
1247C22⋊Q8—111no—
1248C22⋊Q8—221no—
1249C22⋊Q8—221no—
1250C22⋊Q8—221no—
1251C22⋊Q8—221no—
1252C22⋊Q8—221no—
1253C22⋊Q8—221no—
1254C22⋊Q8—221no—
1255C22⋊Q8—221no—
1256C22⋊Q8—221no—
1257C22⋊Q8—221no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8C22×D1111yescharacteristic
1261C22⋊Q8C22×D1111yescharacteristic
1262C22⋊Q8C22×D1111yescharacteristic
1263C22⋊Q8C22×D1111yescharacteristic
1264C22⋊Q8C22×D1111yescharacteristic
1265C22⋊Q8C22×D1111yescharacteristic
1266#121—111no—
1267#121—111no—
1268#121—111no—
1269#121—111no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—221no—
1276#121—221no—
1277#121—221no—
1278#121—221no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
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#121C22×D1111yescharacteristic
1298#120—21no—
1299#120—111no—
1300#120—111no—
1301#120—221no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306C4×Q8—111no—
1307C4×Q8—111no—
1308C4×Q8—111no—
1309C4×Q8—111no—
1310C4×Q8—111no—
1311C4×Q8—111no—
1312C4×Q8—111no—
1313C4×Q8—221no—
1314C4×Q8—221no—
1315C4×Q8—221no—
1316C4×D4—21no—
1317C4×D4—21no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—111no—
1321C4×D4—111no—
1322C4×D4—111no—
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×D4—221no—
1333C4×D4—221no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4—221no—
1338#117—111no—
1339#117—111no—
1340#117—111no—
1341#117—221no—
1342#117—221no—
1343#117—221no—
1344#117C22×D1111yescharacteristic
1345C2×C4⋊C4—21no—
1346C2×C4⋊C4—111no—
1347C2×C4⋊C4—221no—
1348C2×C4⋊C4C22×D1111yescharacteristic
1349C2×C22⋊C4—21no—
1350#107—111no—
1351#107—111no—
1352#107C22×D1111yescharacteristic
1353#107C22×D1111yescharacteristic
1354#106—111no—
1355#106—111no—
1356#106C22×D1111yescharacteristic
1357#106C22×D1111yescharacteristic
1358C4⋊C8—111no—
1359C4⋊C8—111no—
1360C4⋊C8—111no—
1361C4⋊C8—111no—
1362#103—111no—
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#103C22×D1111yescharacteristic
1375#103C22×D1111yescharacteristic
1376#103C22×D1111yescharacteristic
1377#103C22×D1111yescharacteristic
1378#103C22×D1111yescharacteristic
1379#103C22×D1111yescharacteristic
1380#102—111no—
1381#102—111no—
1382#102—111no—
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
1394C22⋊C8—111no—
1395C22⋊C8—111no—
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8C22×D1111yescharacteristic
1403C22⋊C8C22×D1111yescharacteristic
1404C22⋊C8C22×D1111yescharacteristic
1405C22⋊C8C22×D1111yescharacteristic
1406#97—111no—
1407#97—111no—
1408C4×C8—111no—
1409C4×C8—111no—
1410C2×C11—41no—
1411C2×C11—41no—
1412C2×C11—41no—
1413C2×C11—81no—
1414C2×C11#348411yescharacteristic
1415C2×C11#358411yescharacteristic
1416C2×C11#358611yescharacteristic
1417D11—41no—
1418D11—41no—
1419D11—81no—
1420D11—81no—
1421D11—81no—
1422C24—221no—
1423C24D4×D1111yescharacteristic
1424#41—41no—
1425#41—41no—
1426#41—222no—
1427#41—222no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—222no—
1432#41—441no—
1433#41—441no—
1434#41—441no—
1435#41—441no—
1436#41—441no—
1437#41—441no—
1438#41—441no—
1439#41—441no—
1440#41—444no—
1441#41—444no—
1442#41—444no—
1443#41—441no—
1444#41—441no—
1445#41—444no—
1446#41—444no—
1447#41—441no—
1448#41—441no—
1449C2×Q8—21no—
1450C2×Q8—41no—
1451C2×Q8—41no—
1452C2×Q8—111no—
1453C2×Q8—111no—
1454C2×Q8—111no—
1455C2×Q8—111no—
1456C2×Q8—221no—
1457C2×Q8—221no—
1458C2×Q8—221no—
1459C2×Q8—221no—
1460C2×Q8—222no—
1461C2×Q8—222no—
1462C2×Q8—221no—
1463C2×Q8—222no—
1464C2×Q8—222no—
1465C2×Q8—444no—
1466C2×Q8—441no—
1467C2×Q8—441no—
1468C2×Q8—441no—
1469C2×Q8—441no—
1470C2×Q8C23×D1111yescharacteristic
1471C2×Q8C23×D1111yescharacteristic
1472C2×Q8C23×D1111yescharacteristic
1473C2×D4—21no—
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—111no—
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—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—221no—
1503C2×D4—221no—
1504C2×D4—221no—
1505C2×D4—221no—
1506C2×D4—441no—
1507C2×D4—441no—
1508C2×D4—444no—
1509C2×D4C23×D1111yescharacteristic
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—41no—
1514C22×C4—41no—
1515C22×C4—111no—
1516C22×C4—111no—
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—444no—
1532C22×C4D4×D1111yescharacteristic
1533C22×C4D4×D1111yescharacteristic
1534C22×C4D4×D1111yescharacteristic
1535C22×C4C23×D1111yescharacteristic
1536C22×C4C23×D1111yescharacteristic
1537C22×C4C23×D1111yescharacteristic
1538Q16—41no—
1539Q16—41no—
1540Q16—222no—
1541Q16—222no—
1542Q16—222no—
1543Q16—222no—
1544Q16—222no—
1545Q16—222no—
1546Q16—441no—
1547SD16—41no—
1548SD16—41no—
1549SD16—222no—
1550SD16—222no—
1551SD16—441no—
1552SD16—441no—
1553SD16—441no—
1554SD16—441no—
1555SD16—441no—
1556SD16—441no—
1557SD16—441no—
1558SD16—441no—
1559D8—441no—
1560D8—441no—
1561D8—441no—
1562M16—441no—
1563M16—441no—
1564M16—441no—
1565M16—441no—
1566C2×C8—41no—
1567C2×C8—41no—
1568C2×C8—111no—
1569C2×C8—111no—
1570C2×C8—111no—
1571C2×C8—111no—
1572C2×C8—441no—
1573C2×C8—441no—
1574C2×C8C23×D1111yescharacteristic
1575C2×C8C23×D1111yescharacteristic
1576C2×C8C23×D1111yescharacteristic
1577C2×C8C23×D1111yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—111no—
1586C4⋊C4—111no—
1587C4⋊C4—111no—
1588C4⋊C4—111no—
1589C4⋊C4—111no—
1590C4⋊C4—111no—
1591C4⋊C4—111no—
1592C4⋊C4—111no—
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⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4C23×D1111yescharacteristic
1612C4⋊C4C23×D1111yescharacteristic
1613C4⋊C4C23×D1111yescharacteristic
1614C4⋊C4C23×D1111yescharacteristic
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—111no—
1625C22⋊C4—111no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—111no—
1629C22⋊C4—111no—
1630C22⋊C4—111no—
1631C22⋊C4—111no—
1632C22⋊C4—111no—
1633C22⋊C4—111no—
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—
1655C42—21no—
1656C42—111no—
1657C42—111no—
1658C42—221no—
1659C42—221no—
1660C42—221no—
1661C42—221no—
1662C42—221no—
1663C42—221no—
1664C42—221no—
1665C42—221no—
1666C42—221no—
1667C11#6161511yescharacteristic, complemented, Sylow
1668C23—21no—
1669C23—41no—
1670C23—41no—
1671C23—41no—
1672C23—111no—
1673C23—111no—
1674C23—221no—
1675C23—221no—
1676C23—221no—
1677C23—442no—
1678C23—881no—
1679C23—881no—
1680C23C2×D4×D1111yescharacteristic
1681C23C2×D4×D1111yescharacteristic
1682C23C2×D4×D1111yescharacteristic
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—81no—
1690Q8—112no—
1691Q8—112no—
1692Q8—224no—
1693Q8—221no—
1694Q8—221no—
1695Q8—221no—
1696Q8—221no—
1697Q8—441no—
1698Q8—442no—
1699Q8—442no—
1700Q8—881no—
1701Q8—881no—
1702D4—21no—
1703D4—21no—
1704D4—42no—
1705D4—81no—
1706D4—81no—
1707D4—221no—
1708D4—221no—
1709D4—221no—
1710D4—221no—
1711D4—221no—
1712D4—221no—
1713D4—441no—
1714D4—442no—
1715D4—441no—
1716D4—441no—
1717D4—441no—
1718D4—441no—
1719D4—441no—
1720D4—441no—
1721D4—442no—
1722D4—442no—
1723D4—442no—
1724D4—442no—
1725D4—442no—
1726D4—442no—
1727D4—442no—
1728D4—881no—
1729D4—881no—
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—21no—
1752C2×C4—21no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—42no—
1757C2×C4—81no—
1758C2×C4—81no—
1759C2×C4—111no—
1760C2×C4—111no—
1761C2×C4—111no—
1762C2×C4—111no—
1763C2×C4—111no—
1764C2×C4—111no—
1765C2×C4—224no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—221no—
1771C2×C4—221no—
1772C2×C4—221no—
1773C2×C4—221no—
1774C2×C4—221no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—442no—
1780C2×C4—442no—
1781C2×C4—442no—
1782C2×C4—442no—
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×C4C24×D1111yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—221no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—82no—
1813C22—221no—
1814C22—221no—
1815C22—221no—
1816C22—221no—
1817C22—221no—
1818C22—221no—
1819C22—441no—
1820C22—441no—
1821C22—441no—
1822C22—441no—
1823C22—441no—
1824C22—441no—
1825C22—441no—
1826C22—441no—
1827C22—441no—
1828C22—884no—
1829C22C22×D4×D1111yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—221no—
1841C4—221no—
1842C4—221no—
1843C4—221no—
1844C4—222no—
1845C4—222no—
1846C4—221no—
1847C4—221no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4D11×H(5,𝔽2)11yescharacteristic
1852C4D11×H(5,𝔽2)11yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—81no—
1857C2—441no—
1858C2—441no—
1859C2—881no—
1860C2—881no—
1861C2—881no—
1862C2#1308224811yescharacteristic
1863C2#1308338511yescharacteristic
1864C2#1308339911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3190C2
socleC22×C11C23×D4
hypercenter#3190D11
hypocenterC11#61615
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3190

Complements

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

NH ≅ G/Ntype
1. #13082913C2semidirect
2. #13082270C2semidirect
3. #13080952C2semidirect
4. #13080872C2semidirect
5. #13080748C2semidirect
6. #13080730C2semidirect
7. #13080688C2semidirect
8. #13080625C2semidirect
9. #13080550C2semidirect
10. #13080498C2semidirect
11. #13080360C2semidirect
12. #13080343C2semidirect
13. #13080280C2semidirect
14. #13080273C2semidirect
15. #13080204C2semidirect
16. #13080198C2semidirect
17. #13080189C2semidirect
18. #13080168C2semidirect
19. #13079716C2semidirect
20. #13079686C2semidirect
21. #13079487C2semidirect
22. #13079474C2semidirect
23. #13079453C2semidirect
24. #13078912C2semidirect
25. #13078848C2semidirect
26. #13077935C2semidirect
27. #13077908C2semidirect
28. #13077874C2semidirect
29. #13077838C2semidirect
30. #13077661C2semidirect
31. C11×#3190C2semidirect
37. #10623348C22semidirect
38. Q8×C22⋊D11C22semidirect
43. C2×#66971C22semidirect
44. C2×Q16×D11C22semidirect
45. C2×#66969C22semidirect
46. C2×#66968C22semidirect
54. #10623172C22semidirect
56. #10623170C22semidirect
62. #10623164C22semidirect
63. #10623162C22semidirect
80. #10623045C22semidirect
82. #10623042C22semidirect
87. C11×#483C22semidirect
88. C11×#480C22semidirect
89. C11×#467C22semidirect
90. C11×#467C22semidirect
91. C11×#465C22semidirect
92. C11×#465C22semidirect
95. C11×#451C22semidirect
96. C11×#448C22semidirect
101. #10622804C22semidirect
102. #10622803C22semidirect
103. #10622799C22semidirect
104. #10622799C22semidirect
105. #10622798C22semidirect
106. #10622798C22semidirect
107. #10622789C22semidirect
108. #10622788C22semidirect
109. #10622786C22semidirect
110. #10622786C22semidirect
111. #10622776C22semidirect
112. #10622776C22semidirect
115. #10622724C22semidirect
116. #10622724C22semidirect
117. C8×C22⋊D11C22semidirect
118. C8×C22⋊D11C22semidirect
119. #10622665C22semidirect
122. #10622662C22semidirect
127. #10622660C22semidirect
130. #10622658C22semidirect
131. #10622655C22semidirect
132. #10622652C22semidirect
133. #10622650C22semidirect
134. #10622648C22semidirect
139. #10622502C22semidirect
140. #10622499C22semidirect
141. #10622498C22semidirect
142. #10622496C22semidirect
143. #10622495C22semidirect
144. #10622490C22semidirect
145. #10622488C22semidirect
146. #10622486C22semidirect
147. #10622479C22semidirect
148. #10622478C22semidirect
149. #10622477C22semidirect
150. #10622476C22semidirect
151. #10622470C22semidirect
152. #10622467C22semidirect
153. #10622466C22semidirect
154. #10622465C22semidirect
155. #10622432C22semidirect
156. #10622425C22semidirect
157. #10622425C22semidirect
158. #10622424C22semidirect
159. #10622424C22semidirect
160. #10622421C22semidirect
161. #10622420C22semidirect
162. #10622420C22semidirect
163. #10622419C22semidirect
164. #10622419C22semidirect
165. #10622419C22semidirect
166. #10622415C22semidirect
167. D11×#103C22semidirect
168. #10622413C22semidirect
169. #10622411C22semidirect
170. #10622411C22semidirect
171. #10622411C22semidirect
172. #10622408C22semidirect
173. #10622406C22semidirect
174. #10622406C22semidirect
175. #10622403C22semidirect
176. #10622403C22semidirect
177. #10622402C22semidirect
178. #10622402C22semidirect
179. #10622399C22semidirect
180. #10622396C22semidirect
181. #10622394C22semidirect
182. #10622385C22semidirect
183. #10622384C22semidirect
184. #10622377C22semidirect
185. #10622375C22semidirect
186. #10622373C22semidirect
195. #10622342C22semidirect
196. #10622342C22semidirect
197. #10622341C22semidirect
198. #10622341C22semidirect
759. #3190D11semidirect
964. #483C2×D11semidirect
971. #480C2×D11semidirect
984. #467C2×D11semidirect
985. #467C2×D11semidirect
990. #465C2×D11semidirect
991. #465C2×D11semidirect
1023. #451C2×D11semidirect
1038. #448C2×D11semidirect
1667. C11#61615semidirect

Maximal subgroups

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

subgroupindex
#130829132
#130822702
#130809522
#130808722
#130807482
#130807302
#130806882
#130806252
#130805502
#130804982
#130803602
#130803432
#130802802
#130802732
#130802042
#130801982
#130801892
#130801682
#130797162
#130796862
#130794872
#130794742
#130794532
#130789122
#130788482
#130779352
#130779082
#130778742
#130778382
#130776612
C11×#31902
#6161511