Finite Group Databasebeta

← #15639521

Subgroups — #15639521

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#13082912C211yesmaximal, characteristic, complemented
2#13082273C211yesmaximal, characteristic, complemented
3#13080952C211yesmaximal, characteristic, complemented
4#13080868C211yesmaximal, characteristic, complemented
5#13080736C211yesmaximal, characteristic, complemented
6#13080723C211yesmaximal, characteristic, complemented
7#13080680C211yesmaximal, characteristic, complemented
8#13080619C211yesmaximal, characteristic, complemented
9#13080551C211yesmaximal, characteristic, complemented
10#13080360C211yesmaximal, characteristic, complemented
11#13080348C211yesmaximal, characteristic, complemented
12#13080283C211yesmaximal, characteristic, complemented
13#13080273C211yesmaximal, characteristic, complemented
14#13080205C211yesmaximal, characteristic, complemented
15#13080198C211yesmaximal, characteristic, complemented
16#13080181C211yesmaximal, characteristic, complemented
17#13080172C211yesmaximal, characteristic, complemented
18#13079717C211yesmaximal, characteristic, complemented
19#13079691C211yesmaximal, characteristic, complemented
20#13079482C211yesmaximal, characteristic, complemented
21#13079475C211yesmaximal, characteristic, complemented
22#13079460C211yesmaximal, characteristic, complemented
23#13079398C211yesmaximal, characteristic, complemented
24#13078918C211yesmaximal, characteristic, complemented
25#13078851C211yesmaximal, characteristic, complemented
26#13077936C211yesmaximal, characteristic, complemented
27#13077906C211yesmaximal, characteristic, complemented
28#13077873C211yesmaximal, characteristic, complemented
29#13077836C211yesmaximal, characteristic, complemented
30#13077658C211yesmaximal, characteristic, complemented
31C11×#3300C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#67040C2211yescharacteristic
34C11×#552C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic
36#10623365C2211yescharacteristic
37C2×#67003C2211yescharacteristic
38#10623348C2211yescharacteristic
39C2×#66995C2211yescharacteristic, complemented
40C2×#66971C2211yescharacteristic
41C2×#66971C2211yescharacteristic, complemented
42C2×Q16×D11C2211yescharacteristic, complemented
43C2×#66968C2211yescharacteristic
44C2×#66957C2211yescharacteristic
45C2×#66957C2211yescharacteristic, complemented
46#10623243—21no—
47#10623235—21no—
48#10623228C2211yescharacteristic
49#10623226C2211yescharacteristic, complemented
50#10623223—21no—
51#10623221—21no—
52#10623208—21no—
53#10623208C2211yescharacteristic
54#10623205—21no—
55#10623205C2211yescharacteristic
56#10623198—21no—
57#10623188—21no—
58#10623164—21no—
59#10623164C2211yescharacteristic
60#10623164C2211yescharacteristic, complemented
61#10623164C2211yescharacteristic, complemented
62#10623159C2211yescharacteristic
63#10623158—21no—
64#10623158C2211yescharacteristic
65D11×C22⋊Q8C2211yescharacteristic
66#10623138—21no—
67#10623138C2211yescharacteristic
68#10623130—21no—
69#10623130C2211yescharacteristic
70#10623113C2211yescharacteristic
71#10623108C2211yescharacteristic
72Q8×D44C2211yescharacteristic, complemented
73#10623103C2211yescharacteristic
74#10623084—21no—
75#10623084C2211yescharacteristic
76#10623082C2211yescharacteristic, complemented
77#10623078—21no—
78#10623078C2211yescharacteristic
79#10623065—21no—
80#10623064C2211yescharacteristic, complemented
81#10623061—21no—
82#10623055C2211yescharacteristic
83#10623042C2211yescharacteristic, complemented
84#10623041C2211yescharacteristic
85C11×#488C2211yescharacteristic, complemented
86C11×#485C2211yescharacteristic, complemented
87C11×#480C2211yescharacteristic, complemented
88C11×#479C2211yescharacteristic, complemented
89C11×#467C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#464C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic
93C11×#451C2211yescharacteristic, complemented
94C4×C11×Q16C2211yescharacteristic, complemented
95C8×D4×C11C2211yescharacteristic, complemented
96C11×#416C2211yescharacteristic
97C2×C11×#103C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic
99#10622841C2211yescharacteristic, complemented
100#10622804C2211yescharacteristic, complemented
101#10622800C2211yescharacteristic
102#10622799C2211yescharacteristic
103#10622799C2211yescharacteristic, complemented
104#10622798C2211yescharacteristic, complemented
105#10622789C2211yescharacteristic, complemented
106#10622783C2211yescharacteristic, complemented
107#10622782C2211yescharacteristic
108#10622727C2211yescharacteristic, complemented
109#10622727C2211yescharacteristic, complemented
110#10622724C2211yescharacteristic, complemented
111#10622723C2211yescharacteristic
112C8×C22⋊D11C2211yescharacteristic, complemented
113C2×(C2×D11)⋊C8C2211yescharacteristic
114#10622680C2211yescharacteristic, complemented
115#10622676C2211yescharacteristic, complemented
116#10622673C2211yescharacteristic, complemented
117#10622670C2211yescharacteristic, complemented
118#10622664C2211yescharacteristic, complemented
119#10622662C2211yescharacteristic, complemented
120#10622661C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic
122#10622660C2211yescharacteristic, complemented
123#10622660C2211yescharacteristic, complemented
124#10622655C2211yescharacteristic, complemented
125#10622650C2211yescharacteristic, complemented
126#10622644C2211yescharacteristic, complemented
127#10622643C2211yescharacteristic, complemented
128#10622640C2211yescharacteristic, complemented
129#10622639C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622615C2211yescharacteristic
133#10622581C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622501C2211yescharacteristic
136#10622499C2211yescharacteristic, complemented
137#10622499C2211yescharacteristic, complemented
138#10622498C2211yescharacteristic
139#10622496C2211yescharacteristic, complemented
140#10622495C2211yescharacteristic, complemented
141#10622488C2211yescharacteristic, complemented
142#10622486C2211yescharacteristic, complemented
143#10622480C2211yescharacteristic
144#10622479C2211yescharacteristic, complemented
145#10622478C2211yescharacteristic, complemented
146#10622466C2211yescharacteristic, complemented
147#10622462C2211yescharacteristic, complemented
148#10622456C2211yescharacteristic, complemented
149#10622453C2211yescharacteristic
150#10622449C2211yescharacteristic, complemented
151#10622429C2211yescharacteristic, complemented
152#10622428C2211yescharacteristic
153#10622425C2211yescharacteristic, complemented
154#10622424C2211yescharacteristic
155#10622424C2211yescharacteristic
156#10622424C2211yescharacteristic, complemented
157#10622423C2211yescharacteristic
158#10622423C2211yescharacteristic
159#10622423C2211yescharacteristic
160#10622423C2211yescharacteristic, complemented
161#10622421C2211yescharacteristic
162#10622421C2211yescharacteristic
163#10622421C2211yescharacteristic, complemented
164#10622419C2211yescharacteristic
165#10622419C2211yescharacteristic, complemented
166#10622419C2211yescharacteristic, complemented
167#10622419C2211yescharacteristic, complemented
168#10622418C2211yescharacteristic, complemented
169#10622417C2211yescharacteristic, complemented
170#10622416C2211yescharacteristic
171#10622415C2211yescharacteristic, complemented
172#10622411C2211yescharacteristic, complemented
173#10622411C2211yescharacteristic, complemented
174#10622411C2211yescharacteristic, complemented
175#10622408C2211yescharacteristic, complemented
176#10622404C2211yescharacteristic, complemented
177#10622403C2211yescharacteristic, complemented
178#10622402C2211yescharacteristic, complemented
179#10622396C2211yescharacteristic
180#10622395C2211yescharacteristic, complemented
181#10622394C2211yescharacteristic
182#10622392C2211yescharacteristic, complemented
183#10622391C2211yescharacteristic, complemented
184#10622389C2211yescharacteristic
185#10622389C2211yescharacteristic
186#10622386C2211yescharacteristic
187#10622384C2211yescharacteristic
188#10622375C2211yescharacteristic, complemented
189#10622375C2211yescharacteristic, complemented
190#10622373C2211yescharacteristic, complemented
191#10622347C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic
194#10622346C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic, complemented
196#10622342C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic
198#10622339C2211yescharacteristic
199#10622306C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic
202#10622301C2211yescharacteristic, 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
229C2×#4339C2311yescharacteristic
230C22×C4×D11—21no—
231C22×C4×D11C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×Q16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C22×C8×C11C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C11×#126—21no—
238C11×#125—21no—
239C11×#125C2311yescharacteristic
240C11×#124—21no—
241C11×#124C2311yescharacteristic
242C11×#123—21no—
243C11×C22⋊Q8—21no—
244C11×C22⋊Q8C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C11×#121—21no—
248C11×#121C2311yescharacteristic
249C4×Q8×C11C2311yescharacteristic
250C4×Q8×C11C2311yescharacteristic
251C4×D4×C11—21no—
252C4×D4×C11C2311yescharacteristic
253C11×#117—21no—
254C11×#117C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256#67003—42no—
257#67000—21no—
258#67000C2311yescharacteristic
259#67000C2311yescharacteristic
260#66999—21no—
261#66999C2311yescharacteristic
262#66999C2311yescharacteristic
263Q8×Dic11C2311yescharacteristic
264C2×#4326C2311yescharacteristic
265C2×#4326C2311yescharacteristic
266C2×#4326C2311yescharacteristic
267C2×#4326C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269#66995—42no—
270C2×#4325C2311yescharacteristic
271C2×#4325C2311yescharacteristic
272C2×#4325C2311yescharacteristic
273C2×#4325C2311yescharacteristic
274#66993—21no—
275#66993—21no—
276#66993—21no—
277#66993—21no—
278#66993C2311yescharacteristic
279#66992—21no—
280#66992D411yescharacteristic
281#66991—21no—
282#66991—21no—
283#66991C2311yescharacteristic
284#66990—21no—
285#66990D411yescharacteristic
286C2×#4324C2311yescharacteristic
287C2×#4324C2311yescharacteristic
288C2×#4323C2311yescharacteristic
289#66983—21no—
290#66983—21no—
291#66983—21no—
292#66983—21no—
293#66983C2311yescharacteristic
294#66983C2311yescharacteristic
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11—21no—
298C4×C22⋊D11C2311yescharacteristic
299C4×C22⋊D11C2311yescharacteristic
300#66977—21no—
301#66977C2311yescharacteristic
302#66977C2311yescharacteristic
303C2×#4318C2311yescharacteristic
304C22×C11⋊C8C2311yescharacteristic
305#66971—42no—
306#66971—42no—
307Q16×D11—42no—
308#66968—42no—
309C2×Dic44C2311yescharacteristic
310C2×Dic44C2311yescharacteristic
311#66957—42no—
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#66951—21no—
326#66951—21no—
327#66950—21no—
328#66950—21no—
329#66950—21no—
330#66950C2311yescharacteristic
331#66950C2311yescharacteristic
332#66950C2311yescharacteristic
333#66950C2311yescharacteristic
334#66949—21no—
335#66949—21no—
336#66949—21no—
337#66949—21no—
338#66949—21no—
339#66949—21no—
340#66949D411yescharacteristic
341#66948—21no—
342#66948—21no—
343#66948—21no—
344#66948—21no—
345#66948C2311yescharacteristic
346#66948C2311yescharacteristic
347#66948C2311yescharacteristic
348#66948C2311yescharacteristic
349#66948C2311yescharacteristic
350#66947—21no—
351#66947—21no—
352#66947—21no—
353#66947—21no—
354#66947D411yescharacteristic
355#66946—21no—
356#66946—21no—
357#66946—21no—
358#66946—21no—
359#66946—21no—
360#66946—21no—
361#66945—21no—
362#66945C2311yescharacteristic
363#66945C2311yescharacteristic
364C4⋊C4×D11—21no—
365C4⋊C4×D11—21no—
366C4⋊C4×D11C2311yescharacteristic
367#66943—21no—
368#66943—21no—
369#66942—21no—
370#66941—21no—
371#66941C2311yescharacteristic
372#66940—21no—
373#66940C2311yescharacteristic
374#66940C2311yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66938—21no—
378#66938—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938—21no—
383#66938—21no—
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66937—21no—
388#66937—21no—
389#66937—21no—
390#66937—21no—
391#66937—21no—
392#66937—21no—
393#66937D411yescharacteristic
394#66936—21no—
395#66936—21no—
396#66936—21no—
397#66936D411yescharacteristic
398#66935—21no—
399#66935—21no—
400#66935—21no—
401#66935—21no—
402#66935—21no—
403#66935D411yescharacteristic
404(C22⋊D11)⋊C4—21no—
405(C22⋊D11)⋊C4—21no—
406(C22⋊D11)⋊C4—21no—
407C22⋊C4×D11—21no—
408#66932—21no—
409#66931—21no—
410#66931—21no—
411#66931D411yescharacteristic
412#66929—21no—
413#66929—21no—
414#66928—21no—
415#66927—21no—
416#66927C2311yescharacteristic
417C4×D44—21no—
418C4×D44—21no—
419C4×D44—21no—
420C4×D44—21no—
421C4×D44C2311yescharacteristic
422C4×D44C2311yescharacteristic
423#66925—21no—
424#66925C2311yescharacteristic
425#66922—21no—
426#66922C2311yescharacteristic
427C4×Dic22—21no—
428C4×Dic22—21no—
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#107C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#103C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C4×C8×C11C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456(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#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61615—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11C2×D411yescharacteristic
493C11×#41—22no—
494C11×#41—41no—
495C2×Q8×C11—21no—
496C2×Q8×C11—22no—
497C2×Q8×C11—41no—
498C2×Q8×C11C2411yescharacteristic
499C2×Q8×C11C2411yescharacteristic
500C2×Q8×C11C2411yescharacteristic
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11C2×D411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C22×C4×C11—21no—
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11C2411yescharacteristic
509C22×C4×C11C2411yescharacteristic
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11C2×D411yescharacteristic
522C2×C22⋊D11C2×D411yescharacteristic
523C2×C22⋊D11C2×D411yescharacteristic
524C2×C22⋊D11C2×D411yescharacteristic
525C22×Dic11—21no—
526C22×Dic11C2×D411yescharacteristic
527#4343—22no—
528#4343—22no—
529#4343—41no—
530#4343—41no—
531#4343—41no—
532#4343—41no—
533#4343—44no—
534Q8×D11—22no—
535Q8×D11—22no—
536Q8×D11—22no—
537Q8×D11—41no—
538Q8×D11—41no—
539Q8×D11—41no—
540Q8×D11—41no—
541Q8×D11—41no—
542Q8×D11—44no—
543#4341—22no—
544#4341—41no—
545#4341—44no—
546D4×D11—41no—
547D4×D11—41no—
548D4×D11—44no—
549#4339—22no—
550#4339—22no—
551#4339—41no—
552#4339—41no—
553#4339—41no—
554#4339—41no—
555#4339—41no—
556#4339—41no—
557#4339—41no—
558#4339—41no—
559#4339—44no—
560#4339—44no—
561#4339—44no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44C2×D411yescharacteristic
573C2×D44C2×D411yescharacteristic
574C2×D44C2411yescharacteristic
575C2×D44C2411yescharacteristic
576C2×D44C2411yescharacteristic
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—21no—
589C2×C4×D11—21no—
590C2×C4×D11—41no—
591C2×C4×D11—41no—
592C2×C4×D11—44no—
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2411yescharacteristic
596C2×C4×D11C2411yescharacteristic
597C2×C4×D11C2411yescharacteristic
598C2×Dic22—21no—
599C2×Dic22—21no—
600C2×Dic22—21no—
601C2×Dic22—21no—
602C2×Dic22—21no—
603C2×Dic22C2×D411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C2×Dic22C2411yescharacteristic
606C2×Dic22C2411yescharacteristic
607C11×Q16—22no—
608C11×Q16—41no—
609C11×SD16—41no—
610C2×C8×C11—41no—
611C2×C8×C11—41no—
612C2×C8×C11C2411yescharacteristic
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C2×C8×C11C2411yescharacteristic
616C11×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
625C11×C4⋊C4C2411yescharacteristic
626C11×C4⋊C4C2411yescharacteristic
627C11×C4⋊C4C2411yescharacteristic
628C11×C4⋊C4C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
637C11×C22⋊C4C2×D411yescharacteristic
638C42×C11—21no—
639C42×C11—21no—
640C42×C11—21no—
641C42×C11C2411yescharacteristic
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11C2×D411yescharacteristic
646C22⋊Dic11C2×D411yescharacteristic
647#4326—22no—
648#4326—22no—
649#4326—22no—
650#4326—41no—
651#4326—41no—
652#4325—22no—
653#4325—41no—
654#4325—41no—
655#4325—41no—
656#4324—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)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4C2×D411yescharacteristic
680(C2×D11)⋊C4C2×D411yescharacteristic
681(C2×D11)⋊C4C2×D411yescharacteristic
682(C2×D11)⋊C4C2×D411yescharacteristic
683(C2×D11)⋊C4C2×D411yescharacteristic
684(C2×D11)⋊C4C2×D411yescharacteristic
685C4⋊Dic11—21no—
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11C2×D411yescharacteristic
693C4⋊Dic11C2411yescharacteristic
694C4⋊Dic11C2411yescharacteristic
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4—21no—
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4C2×D411yescharacteristic
706Dic11⋊C4C2×D411yescharacteristic
707Dic11⋊C4C2×D411yescharacteristic
708Dic11⋊C4C2×D411yescharacteristic
709C4×Dic11—21no—
710C4×Dic11—21no—
711C4×Dic11—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11C2411yescharacteristic
717#4318—41no—
718C2×C11⋊C8—41no—
719C2×C11⋊C8C2411yescharacteristic
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723Dic44—22no—
724Dic44—22no—
725D88—41no—
726D88—41no—
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#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#3300D1111yescharacteristic, complemented
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#3190—111no—
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×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—81no—
778C22×D11—81no—
779C22×D11C22×D411yescharacteristic
780C22×D11C22×D411yescharacteristic
781C22×D11C22×D411yescharacteristic
782Q8×C11—21no—
783Q8×C11—21no—
784Q8×C11—21no—
785Q8×C11—21no—
786Q8×C11—21no—
787Q8×C11—42no—
788Q8×C11H(5,𝔽2)12yes—
789D4×C11—21no—
790D4×C11—21no—
791D4×C11—41no—
792D4×C11—42no—
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—42no—
806C2×C4×C11—42no—
807C2×C4×C11—81no—
808C2×C4×C11C22×D411yescharacteristic
809C2×C4×C11C22×D411yescharacteristic
810C2×C4×C11C22×D411yescharacteristic
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C2511yescharacteristic
813C22⋊D11—41no—
814C22⋊D11—41no—
815C22⋊D11—41no—
816C22⋊D11—41no—
817C22⋊D11—42no—
818C22⋊D11—42no—
819C22⋊D11—42no—
820C22⋊D11—42no—
821C22⋊D11—81no—
822C22⋊D11—81no—
823C22⋊D11—81no—
824C22⋊D11—81no—
825C22⋊D11—81no—
826C22⋊D11—81no—
827C22⋊D11—81no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—41no—
834C2×Dic11—42no—
835C2×Dic11C22×D411yescharacteristic
836C2×Dic11C22×D411yescharacteristic
837C2×Dic11C22×D411yescharacteristic
838C2×Dic11C22×D411yescharacteristic
839C2×Dic11C22×D411yescharacteristic
840D44—21no—
841D44—21no—
842D44—21no—
843D44—21no—
844D44—21no—
845D44—21no—
846D44—41no—
847D44—41no—
848D44—42no—
849D44—42no—
850D44—42no—
851D44—42no—
852D44—81no—
853D44—81no—
854D44—81no—
855D44—81no—
856D44—81no—
857D44—81no—
858C4×D11—24no—
859C4×D11—21no—
860C4×D11—21no—
861C4×D11—21no—
862C4×D11—21no—
863C4×D11—21no—
864C4×D11—21no—
865C4×D11—41no—
866C4×D11—41no—
867C4×D11—42no—
868C4×D11—42no—
869C4×D11—42no—
870C4×D11—42no—
871C4×D11—42no—
872C4×D11—42no—
873C4×D11—81no—
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—21no—
885Dic22—41no—
886Dic22—42no—
887Dic22—81no—
888Dic22—81no—
889Dic22—81no—
890Dic22H(5,𝔽2)12yes—
891C8×C11—21no—
892C8×C11—21no—
893C8×C11—21no—
894C8×C11—21no—
895C11⋊C8—21no—
896C11⋊C8—21no—
897C11⋊C8—21no—
898C11⋊C8—21no—
899C2×2−1+4—111no—
900C22×#41—111no—
901C2×#137—111no—
902C2×#137—111no—
903C2×#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#552C2×D1111yescharacteristic, complemented
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—221no—
930#548—221no—
931#548C2×D1111yescharacteristic
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—111no—
948#525—221no—
949#525—221no—
950C2×C22⋊Q8—111no—
951#519—111no—
952#497—111no—
953#496—111no—
954#495—111no—
955#492—111no—
956#490—111no—
957#489—111no—
958#488C2×D1111yescharacteristic, complemented
959#486—111no—
960#485—111no—
961#485—111no—
962#485—111no—
963#485C2×D1111yescharacteristic, complemented
964#483—111no—
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#479C2×D1111yescharacteristic, complemented
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#467—111no—
985#467C2×D1111yescharacteristic, complemented
986#466—111no—
987#465—111no—
988#465—111no—
989#465—111no—
990#465—111no—
991#465C2×D1111yescharacteristic, complemented
992#464—111no—
993#464—111no—
994#464—111no—
995#464—111no—
996#464C2×D1111yescharacteristic, complemented
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#452—111no—
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#448—111no—
1039#447—111no—
1040#441—111no—
1041#441—111no—
1042#441—111no—
1043#440—111no—
1044C4×Q16—111no—
1045C4×Q16—111no—
1046C4×Q16C2×D1111yescharacteristic, complemented
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×D4C2×D1111yescharacteristic, complemented
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#416C2×D1111yescharacteristic
1065C2×#103C2×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—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—41no—
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—
1100C4×C11—21no—
1101C4×C11—21no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—22no—
1105C4×C11—41no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11C2×H(5,𝔽2)11yescharacteristic
1112C4×C11C2×H(5,𝔽2)11yescharacteristic
1113Dic11—21no—
1114Dic11—21no—
1115Dic11—21no—
1116Dic11—22no—
1117Dic11—21no—
1118Dic11—21no—
1119Dic11—41no—
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—111no—
1151C23×C4—221no—
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×SD16—111no—
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—21no—
1204#126—221no—
1205#126—221no—
1206#126—221no—
1207#126—221no—
1208#126—221no—
1209#126—221no—
1210#125—21no—
1211#125—221no—
1212#125—221no—
1213#125—221no—
1214#125C22×D1111yescharacteristic
1215#124—21no—
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#124C22×D1111yescharacteristic
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—111no—
1241C22⋊Q8—111no—
1242C22⋊Q8—111no—
1243C22⋊Q8—111no—
1244C22⋊Q8—111no—
1245C22⋊Q8—111no—
1246C22⋊Q8—111no—
1247C22⋊Q8—111no—
1248C22⋊Q8—111no—
1249C22⋊Q8—111no—
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⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8C22×D1111yescharacteristic
1264C22⋊Q8C22×D1111yescharacteristic
1265C22⋊Q8C22×D1111yescharacteristic
1266#121—21no—
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—111no—
1276#121—111no—
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#121—221no—
1297#121C22×D1111yescharacteristic
1298#120—111no—
1299#120—111no—
1300#120—221no—
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—221no—
1312C4×Q8—221no—
1313C4×Q8—221no—
1314C4×Q8C22×D1111yescharacteristic
1315C4×Q8C22×D1111yescharacteristic
1316C4×D4—21no—
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×D4—221no—
1333C4×D4—221no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4C22×D1111yescharacteristic
1338#117—21no—
1339#117—111no—
1340#117—111no—
1341#117—111no—
1342#117—221no—
1343#117—221no—
1344#117C22×D1111yescharacteristic
1345C2×C4⋊C4—111no—
1346C2×C4⋊C4—221no—
1347C2×C4⋊C4—221no—
1348C2×C4⋊C4C22×D1111yescharacteristic
1349C2×C22⋊C4—221no—
1350#107—111no—
1351#107—111no—
1352#107C22×D1111yescharacteristic
1353#107C22×D1111yescharacteristic
1354#106—111no—
1355#106—111no—
1356#106—111no—
1357#106C22×D1111yescharacteristic
1358C4⋊C8—111no—
1359C4⋊C8—111no—
1360C4⋊C8—111no—
1361C4⋊C8C22×D1111yescharacteristic
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#103C22×D1111yescharacteristic
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#102C22×D1111yescharacteristic
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⋊C8—111no—
1403C22⋊C8—111no—
1404C22⋊C8C22×D1111yescharacteristic
1405C22⋊C8C22×D1111yescharacteristic
1406#97—111no—
1407#97—111no—
1408C4×C8—111no—
1409C4×C8C22×D1111yescharacteristic
1410C2×C11—41no—
1411C2×C11—41no—
1412C2×C11—81no—
1413C2×C11#348411yescharacteristic
1414C2×C11#358411yescharacteristic
1415C2×C11#358611yescharacteristic
1416D11—41no—
1417D11—41no—
1418D11—41no—
1419D11—81no—
1420D11—81no—
1421D11—81no—
1422C24—111no—
1423C24—221no—
1424#41—22no—
1425#41—41no—
1426#41—222no—
1427#41—222no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—441no—
1432#41—441no—
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—441no—
1445#41—441no—
1446#41—441no—
1447#41—444no—
1448#41—444no—
1449C2×Q8—21no—
1450C2×Q8—22no—
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—221no—
1461C2×Q8—222no—
1462C2×Q8—222no—
1463C2×Q8—222no—
1464C2×Q8—441no—
1465C2×Q8—441no—
1466C2×Q8—441no—
1467C2×Q8—441no—
1468C2×Q8—441no—
1469C2×Q8—444no—
1470C2×Q8C23×D1111yescharacteristic
1471C2×Q8C23×D1111yescharacteristic
1472C2×Q8C23×D1111yescharacteristic
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—111no—
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—221no—
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—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—441no—
1506C2×D4—441no—
1507C2×D4—444no—
1508C2×D4D4×D1111yescharacteristic
1509C2×D4C23×D1111yescharacteristic
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—111no—
1517C22×C4—111no—
1518C22×C4—111no—
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—221no—
1533C22×C4—441no—
1534C22×C4—441no—
1535C22×C4—444no—
1536C22×C4C23×D1111yescharacteristic
1537C22×C4C23×D1111yescharacteristic
1538Q16—22no—
1539Q16—41no—
1540Q16—222no—
1541Q16—222no—
1542Q16—222no—
1543Q16—222no—
1544Q16—222no—
1545Q16—441no—
1546Q16—441no—
1547SD16—41no—
1548SD16—222no—
1549SD16—222no—
1550SD16—441no—
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—21no—
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⋊C4D4×D1111yescharacteristic
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—111no—
1623C22⋊C4—111no—
1624C22⋊C4—111no—
1625C22⋊C4—111no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—111no—
1629C22⋊C4—111no—
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⋊C4D4×D1111yescharacteristic
1654C22⋊C4D4×D1111yescharacteristic
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42—111no—
1659C42—221no—
1660C42—221no—
1661C42—221no—
1662C42—221no—
1663C42—221no—
1664C42—221no—
1665C42—221no—
1666C42C23×D1111yescharacteristic
1667C11#6161511yescharacteristic, complemented, Sylow
1668C23—21no—
1669C23—111no—
1670C23—111no—
1671C23—111no—
1672C23—221no—
1673C23—221no—
1674C23—221no—
1675C23—441no—
1676C23—441no—
1677C23—441no—
1678C23—442no—
1679C23—881no—
1680C23—881no—
1681C23C2×D4×D1111yescharacteristic
1682C23C2×D4×D1111yescharacteristic
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—42no—
1689Q8—112no—
1690Q8—224no—
1691Q8—221no—
1692Q8—221no—
1693Q8—221no—
1694Q8—221no—
1695Q8—221no—
1696Q8—441no—
1697Q8—442no—
1698Q8—881no—
1699Q8—881no—
1700Q8—881no—
1701Q8#6704212yes—
1702D4—21no—
1703D4—21no—
1704D4—41no—
1705D4—42no—
1706D4—81no—
1707D4—221no—
1708D4—221no—
1709D4—221no—
1710D4—221no—
1711D4—221no—
1712D4—221no—
1713D4—441no—
1714D4—441no—
1715D4—442no—
1716D4—442no—
1717D4—442no—
1718D4—442no—
1719D4—441no—
1720D4—441no—
1721D4—441no—
1722D4—441no—
1723D4—442no—
1724D4—442no—
1725D4—442no—
1726D4—442no—
1727D4—881no—
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—42no—
1752C2×C4—42no—
1753C2×C4—81no—
1754C2×C4—111no—
1755C2×C4—111no—
1756C2×C4—111no—
1757C2×C4—111no—
1758C2×C4—111no—
1759C2×C4—224no—
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—221no—
1771C2×C4—441no—
1772C2×C4—441no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—441no—
1780C2×C4—442no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4—881no—
1787C2×C4C2×D4×D1111yescharacteristic
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—41no—
1807C22—41no—
1808C22—41no—
1809C22—221no—
1810C22—221no—
1811C22—221no—
1812C22—221no—
1813C22—221no—
1814C22—221no—
1815C22—221no—
1816C22—221no—
1817C22—221no—
1818C22—441no—
1819C22—441no—
1820C22—441no—
1821C22—441no—
1822C22—441no—
1823C22—441no—
1824C22—441no—
1825C22—441no—
1826C22—441no—
1827C22—882no—
1828C22—884no—
1829C22C22×D4×D1111yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—22no—
1834C4—21no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—221no—
1842C4—221no—
1843C4—221no—
1844C4—221no—
1845C4—222no—
1846C4—221no—
1847C4—441no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4C2×#6704211yescharacteristic
1852C4D11×H(5,𝔽2)11yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—81no—
1856C2—441no—
1857C2—441no—
1858C2—441no—
1859C2—881no—
1860C2—881no—
1861C2—881no—
1862C2#1308224611yescharacteristic
1863C2#1308338511yescharacteristic
1864C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3300C2
socleC22×C11C23×D4
hypercenter#3300D11
hypocenterC11#61615
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3300

Complements

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

NH ≅ G/Ntype
1. #13082912C2semidirect
2. #13082273C2semidirect
3. #13080952C2semidirect
4. #13080868C2semidirect
5. #13080736C2semidirect
6. #13080723C2semidirect
7. #13080680C2semidirect
8. #13080619C2semidirect
9. #13080551C2semidirect
10. #13080360C2semidirect
11. #13080348C2semidirect
12. #13080283C2semidirect
13. #13080273C2semidirect
14. #13080205C2semidirect
15. #13080198C2semidirect
16. #13080181C2semidirect
17. #13080172C2semidirect
18. #13079717C2semidirect
19. #13079691C2semidirect
20. #13079482C2semidirect
21. #13079475C2semidirect
22. #13079460C2semidirect
23. #13079398C2semidirect
24. #13078918C2semidirect
25. #13078851C2semidirect
26. #13077936C2semidirect
27. #13077906C2semidirect
28. #13077873C2semidirect
29. #13077836C2semidirect
30. #13077658C2semidirect
31. C11×#3300C2semidirect
34. C11×#552C22semidirect
39. C2×#66995C22semidirect
41. C2×#66971C22semidirect
42. C2×Q16×D11C22semidirect
45. C2×#66957C22semidirect
49. #10623226C22semidirect
60. #10623164C22semidirect
61. #10623164C22semidirect
72. Q8×D44C22semidirect
76. #10623082C22semidirect
80. #10623064C22semidirect
83. #10623042C22semidirect
85. C11×#488C22semidirect
86. C11×#485C22semidirect
87. C11×#480C22semidirect
88. C11×#479C22semidirect
89. C11×#467C22semidirect
90. C11×#465C22semidirect
91. C11×#464C22semidirect
93. C11×#451C22semidirect
94. C4×C11×Q16C22semidirect
95. C8×D4×C11C22semidirect
97. C2×C11×#103C22semidirect
99. #10622841C22semidirect
100. #10622804C22semidirect
103. #10622799C22semidirect
104. #10622798C22semidirect
105. #10622789C22semidirect
106. #10622783C22semidirect
108. #10622727C22semidirect
109. #10622727C22semidirect
110. #10622724C22semidirect
112. C8×C22⋊D11C22semidirect
114. #10622680C22semidirect
115. #10622676C22semidirect
116. #10622673C22semidirect
117. #10622670C22semidirect
118. #10622664C22semidirect
119. #10622662C22semidirect
120. #10622661C22semidirect
122. #10622660C22semidirect
123. #10622660C22semidirect
124. #10622655C22semidirect
125. #10622650C22semidirect
126. #10622644C22semidirect
127. #10622643C22semidirect
128. #10622640C22semidirect
129. #10622639C22semidirect
130. #10622624C22semidirect
131. #10622616C22semidirect
133. #10622581C22semidirect
134. #10622579C22semidirect
136. #10622499C22semidirect
137. #10622499C22semidirect
139. #10622496C22semidirect
140. #10622495C22semidirect
141. #10622488C22semidirect
142. #10622486C22semidirect
144. #10622479C22semidirect
145. #10622478C22semidirect
146. #10622466C22semidirect
147. #10622462C22semidirect
148. #10622456C22semidirect
150. #10622449C22semidirect
151. #10622429C22semidirect
153. #10622425C22semidirect
156. #10622424C22semidirect
160. #10622423C22semidirect
163. #10622421C22semidirect
165. #10622419C22semidirect
166. #10622419C22semidirect
167. #10622419C22semidirect
168. #10622418C22semidirect
169. #10622417C22semidirect
171. #10622415C22semidirect
172. #10622411C22semidirect
173. #10622411C22semidirect
174. #10622411C22semidirect
175. #10622408C22semidirect
176. #10622404C22semidirect
177. #10622403C22semidirect
178. #10622402C22semidirect
180. #10622395C22semidirect
182. #10622392C22semidirect
183. #10622391C22semidirect
188. #10622375C22semidirect
189. #10622375C22semidirect
190. #10622373C22semidirect
191. #10622347C22semidirect
192. #10622347C22semidirect
194. #10622346C22semidirect
195. #10622343C22semidirect
196. #10622342C22semidirect
199. #10622306C22semidirect
200. C4×#4314C22semidirect
202. #10622301C22semidirect
745. #3300D11semidirect
916. #552C2×D11semidirect
958. #488C2×D11semidirect
963. #485C2×D11semidirect
971. #480C2×D11semidirect
973. #479C2×D11semidirect
985. #467C2×D11semidirect
991. #465C2×D11semidirect
996. #464C2×D11semidirect
1023. #451C2×D11semidirect
1046. C4×Q16C2×D11semidirect
1055. C8×D4C2×D11semidirect
1065. C2×#103C2×D11semidirect
1667. C11#61615semidirect

Maximal subgroups

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

subgroupindex
#130829122
#130822732
#130809522
#130808682
#130807362
#130807232
#130806802
#130806192
#130805512
#130803602
#130803482
#130802832
#130802732
#130802052
#130801982
#130801812
#130801722
#130797172
#130796912
#130794822
#130794752
#130794602
#130793982
#130789182
#130788512
#130779362
#130779062
#130778732
#130778362
#130776582
C11×#33002
#6161511