Finite Group Databasebeta

← #15640332

Subgroups — #15640332

Order 2816.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082914C211yesmaximal, characteristic, complemented
2#13082284C211yesmaximal, characteristic, complemented
3#13080947C211yesmaximal, characteristic, complemented
4#13080889C211yesmaximal, characteristic, complemented
5#13080842C211yesmaximal, characteristic, complemented
6#13080819C211yesmaximal, characteristic, complemented
7#13080692C211yesmaximal, characteristic, complemented
8#13080686C211yesmaximal, characteristic, complemented
9#13080644C211yesmaximal, characteristic, complemented
10#13080622C211yesmaximal, characteristic, complemented
11#13080267C211yesmaximal, characteristic, complemented
12#13080250C211yesmaximal, characteristic, complemented
13#13080215C211yesmaximal, characteristic, complemented
14#13080195C211yesmaximal, characteristic, complemented
15#13080166C211yesmaximal, characteristic, complemented
16#13080127C211yesmaximal, characteristic, complemented
17#13080104C211yesmaximal, characteristic, complemented
18#13079715C211yesmaximal, characteristic, complemented
19#13079681C211yesmaximal, characteristic, complemented
20#13079514C211yesmaximal, characteristic, complemented
21#13079494C211yesmaximal, characteristic, complemented
22#13079431C211yesmaximal, characteristic, complemented
23#13079420C211yesmaximal, characteristic, complemented
24#13078884C211yesmaximal, characteristic, complemented
25#13078829C211yesmaximal, characteristic, complemented
26#13077924C211yesmaximal, characteristic, complemented
27#13077892C211yesmaximal, characteristic, complemented
28#13077872C211yesmaximal, characteristic, complemented
29#13077859C211yesmaximal, characteristic, complemented
30#13077673C211yesmaximal, characteristic, complemented
31C11×#3278C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C2×C11×#137C2211yescharacteristic, complemented
35C2×C11×#137C2211yescharacteristic, complemented
36C11×#550C2211yescharacteristic
37D4×Q8×C11C2211yescharacteristic, complemented
38#10623365C2211yescharacteristic
39#10623362C2211yescharacteristic
40#10623348C2211yescharacteristic, complemented
41#10623348C2211yescharacteristic, complemented
42#10623347C2211yescharacteristic, complemented
43C2×#66999C2211yescharacteristic, complemented
44C2×#66995C2211yescharacteristic, complemented
45C22×#4325C2211yescharacteristic, complemented
46C2×#66972C2211yescharacteristic, complemented
47C2×#66971C2211yescharacteristic, complemented
48C2×#66967C2211yescharacteristic, complemented
49C2×#66967C2211yescharacteristic, complemented
50#10623266—21no—
51#10623264—21no—
52#10623262C2211yescharacteristic, complemented
53#10623257C2211yescharacteristic, complemented
54#10623248—21no—
55#10623248C2211yescharacteristic
56#10623246—21no—
57#10623246C2211yescharacteristic
58#10623178—21no—
59#10623175—21no—
60#10623172C2211yescharacteristic, complemented
61#10623169—21no—
62#10623167—21no—
63#10623166C2211yescharacteristic, complemented
64#10623160C2211yescharacteristic, complemented
65#10623158C2211yescharacteristic, complemented
66#10623143—21no—
67#10623143C2211yescharacteristic
68#10623140—21no—
69#10623140C2211yescharacteristic
70#10623139—21no—
71#10623139C2211yescharacteristic
72D11×#121—21no—
73D11×#121C2211yescharacteristic
74#10623113C2211yescharacteristic, complemented
75#10623112C2211yescharacteristic, complemented
76#10623107C2211yescharacteristic
77#10623105C2211yescharacteristic
78#10623096C2211yescharacteristic, complemented
79#10623091—21no—
80#10623081—21no—
81#10623081C2211yescharacteristic
82#10623078—21no—
83#10623078C2211yescharacteristic
84#10623071—21no—
85C11×#492C2211yescharacteristic, complemented
86C11×#468C2211yescharacteristic, complemented
87C11×#468C2211yescharacteristic, complemented
88C11×#462C2211yescharacteristic, complemented
89C11×#460C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic, complemented
92C11×#448C2211yescharacteristic, complemented
93C11×#448C2211yescharacteristic, complemented
94C4×C11×Q16C2211yescharacteristic, complemented
95C11×#436C2211yescharacteristic, complemented
96#10622851C2211yescharacteristic, complemented
97#10622851C2211yescharacteristic, complemented
98#10622846C2211yescharacteristic, complemented
99#10622845C2211yescharacteristic, complemented
100#10622841C2211yescharacteristic, complemented
101#10622840C2211yescharacteristic, complemented
102#10622800C2211yescharacteristic
103#10622800C2211yescharacteristic
104#10622800C2211yescharacteristic
105#10622800C2211yescharacteristic, complemented
106#10622800C2211yescharacteristic, complemented
107#10622799C2211yescharacteristic, complemented
108#10622799C2211yescharacteristic, complemented
109#10622798C2211yescharacteristic, complemented
110#10622797C2211yescharacteristic, complemented
111Q16×Dic11C2211yescharacteristic, complemented
112#10622789C2211yescharacteristic, complemented
113#10622787C2211yescharacteristic, complemented
114#10622787C2211yescharacteristic, complemented
115#10622787C2211yescharacteristic, complemented
116#10622786C2211yescharacteristic, complemented
117#10622786C2211yescharacteristic, complemented
118#10622786C2211yescharacteristic, complemented
119#10622785C2211yescharacteristic, complemented
120#10622785C2211yescharacteristic, complemented
121#10622784C2211yescharacteristic, complemented
122#10622782C2211yescharacteristic, complemented
123#10622782C2211yescharacteristic, complemented
124#10622782C2211yescharacteristic, complemented
125#10622782C2211yescharacteristic, complemented
126#10622782C2211yescharacteristic, complemented
127#10622782C2211yescharacteristic, complemented
128#10622782C2211yescharacteristic, complemented
129#10622781C2211yescharacteristic, complemented
130#10622779C2211yescharacteristic, complemented
131#10622779C2211yescharacteristic, complemented
132#10622776C2211yescharacteristic, complemented
133#10622776C2211yescharacteristic, complemented
134#10622748C2211yescharacteristic, complemented
135#10622747C2211yescharacteristic, complemented
136#10622746C2211yescharacteristic, complemented
137#10622744C2211yescharacteristic, complemented
138#10622742C2211yescharacteristic, complemented
139#10622741C2211yescharacteristic, complemented
140#10622740C2211yescharacteristic, complemented
141#10622739C2211yescharacteristic, complemented
142#10622699C2211yescharacteristic, complemented
143#10622696C2211yescharacteristic, complemented
144#10622685C2211yescharacteristic, complemented
145#10622684C2211yescharacteristic, complemented
146#10622664C2211yescharacteristic, complemented
147#10622662C2211yescharacteristic, complemented
148#10622660C2211yescharacteristic, complemented
149#10622659C2211yescharacteristic, complemented
150#10622652C2211yescharacteristic, complemented
151#10622651C2211yescharacteristic, complemented
152#10622648C2211yescharacteristic, complemented
153#10622646C2211yescharacteristic, complemented
154#10622641C2211yescharacteristic, complemented
155#10622639C2211yescharacteristic, complemented
156#10622639C2211yescharacteristic, complemented
157#10622635C2211yescharacteristic, complemented
158#10622624C2211yescharacteristic, complemented
159#10622503C2211yescharacteristic, complemented
160#10622498C2211yescharacteristic, complemented
161#10622497C2211yescharacteristic, complemented
162#10622495C2211yescharacteristic, complemented
163#10622460C2211yescharacteristic, complemented
164#10622457C2211yescharacteristic, complemented
165#10622453C2211yescharacteristic, complemented
166#10622449C2211yescharacteristic, complemented
167#10622432C2211yescharacteristic, complemented
168#10622430C2211yescharacteristic, complemented
169#10622429C2211yescharacteristic, complemented
170#10622426C2211yescharacteristic, complemented
171#10622425C2211yescharacteristic, complemented
172#10622425C2211yescharacteristic, complemented
173#10622424C2211yescharacteristic
174#10622424C2211yescharacteristic, complemented
175#10622423C2211yescharacteristic, complemented
176#10622422C2211yescharacteristic, complemented
177#10622422C2211yescharacteristic, complemented
178#10622418C2211yescharacteristic, complemented
179#10622416C2211yescharacteristic, complemented
180#10622415C2211yescharacteristic, complemented
181#10622407C2211yescharacteristic, complemented
182#10622401C2211yescharacteristic, complemented
183#10622394C2211yescharacteristic, complemented
184#10622392C2211yescharacteristic, complemented
185#10622387C2211yescharacteristic, complemented
186#10622386C2211yescharacteristic, complemented
187#10622383C2211yescharacteristic, complemented
188D11×#102C2211yescharacteristic, complemented
189#10622378C2211yescharacteristic, complemented
190#10622373C2211yescharacteristic, complemented
191#10622349C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic, complemented
193#10622345C2211yescharacteristic, complemented
194#10622343C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic, complemented
198#10622336C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×D88C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202#10622301C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206C22×Q8×C11C2311yescharacteristic
207#67042—42no—
208#67042—42no—
209#41×D11—42no—
210#41×D11—42no—
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×#4343C2311yescharacteristic
215C2×Q8×D11C2311yescharacteristic
216C2×#4341—21no—
217C2×#4341C2311yescharacteristic
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11C2311yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×D4×D11C2311yescharacteristic
227C2×#4339—21no—
228C2×#4339—21no—
229C2×#4339C2311yescharacteristic
230C2×#4339C2311yescharacteristic
231C22×D44—21no—
232C22×D44C2311yescharacteristic
233C22×C4×D11—21no—
234C22×C4×D11C2311yescharacteristic
235C11×#137—42no—
236C11×#137—42no—
237C2×C11×Q16C2311yescharacteristic
238C2×C11×Q16C2311yescharacteristic
239C2×C11×Q16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×SD16C2311yescharacteristic
242C2×C11×SD16C2311yescharacteristic
243C2×C11×SD16C2311yescharacteristic
244C2×C11×SD16C2311yescharacteristic
245C2×C11×SD16C2311yescharacteristic
246C2×C11×M16C2311yescharacteristic
247C2×C11×M16C2311yescharacteristic
248C11×C4⋊Q8—21no—
249C11×C4⋊Q8C2311yescharacteristic
250C11×#127—21no—
251C11×#127C2311yescharacteristic
252C11×C22⋊Q8—21no—
253C11×C22⋊Q8—21no—
254C11×C22⋊Q8C2311yescharacteristic
255C11×C22⋊Q8C2311yescharacteristic
256C11×#121—21no—
257C11×#121—21no—
258C11×#121C2311yescharacteristic
259C11×#121C2311yescharacteristic
260C4×Q8×C11C2311yescharacteristic
261C4×Q8×C11C2311yescharacteristic
262C4×D4×C11—21no—
263C4×D4×C11—21no—
264C4×D4×C11C2311yescharacteristic
265#67000—21no—
266#67000—21no—
267#67000—21no—
268#67000C2311yescharacteristic
269#66999—21no—
270#66999—21no—
271#66999—21no—
272#66999—21no—
273#66999C2311yescharacteristic
274#66999C2311yescharacteristic
275#66999C2311yescharacteristic
276#66999C2311yescharacteristic
277#66999C2311yescharacteristic
278#66999C2311yescharacteristic
279#66999C2311yescharacteristic
280Q8×Dic11C2311yescharacteristic
281Q8×Dic11C2311yescharacteristic
282Q8×Dic11C2311yescharacteristic
283#66997—21no—
284C2×#4326C2311yescharacteristic
285C2×#4326C2311yescharacteristic
286C2×#4326C2311yescharacteristic
287#66995—42no—
288C2×#4325—42no—
289C2×#4325C2311yescharacteristic
290C2×#4325C2311yescharacteristic
291C2×#4325C2311yescharacteristic
292C2×#4325C2311yescharacteristic
293C2×#4325C2311yescharacteristic
294C2×#4325C2311yescharacteristic
295C2×#4325C2311yescharacteristic
296#66993—21no—
297#66993C2311yescharacteristic
298#66992—21no—
299#66992—21no—
300#66992—21no—
301#66992—21no—
302#66992—21no—
303#66992D411yescharacteristic
304#66991—21no—
305#66991—21no—
306#66991—21no—
307#66991—21no—
308#66991—21no—
309#66991C2311yescharacteristic
310#66991C2311yescharacteristic
311#66990—21no—
312#66990—21no—
313#66990—21no—
314#66990—21no—
315#66990—21no—
316#66990—21no—
317#66990—21no—
318#66990D411yescharacteristic
319#66989—21no—
320#66989C2311yescharacteristic
321C2×#4323C2311yescharacteristic
322C2×#4323C2311yescharacteristic
323#66983—21no—
324#66983—21no—
325#66983—21no—
326#66983C2311yescharacteristic
327#66983C2311yescharacteristic
328#66983C2311yescharacteristic
329#66982—21no—
330#66982—21no—
331C4×C22⋊D11—21no—
332C4×C22⋊D11—21no—
333C4×C22⋊D11—21no—
334C4×C22⋊D11—21no—
335C4×C22⋊D11C2311yescharacteristic
336C4×C22⋊D11C2311yescharacteristic
337C2×(C2×D11)⋊C4—21no—
338#66979C2311yescharacteristic
339C2×C4⋊Dic11C2311yescharacteristic
340#66977—21no—
341#66977C2311yescharacteristic
342C2×Dic11⋊C4—21no—
343C2×#4318C2311yescharacteristic
344C22×C11⋊C8C2311yescharacteristic
345#66972—42no—
346#66971—42no—
347#66967—42no—
348#66967—42no—
349C2×D88C2311yescharacteristic
350C2×D88C2311yescharacteristic
351C2×#4314C2311yescharacteristic
352C2×#4313C2311yescharacteristic
353C2×#4313C2311yescharacteristic
354C2×#4313C2311yescharacteristic
355C2×C8×D11C2311yescharacteristic
356#66951—21no—
357#66951—21no—
358#66951—21no—
359#66951—21no—
360#66950—21no—
361#66950—21no—
362#66950C2311yescharacteristic
363#66949—21no—
364#66949—21no—
365#66949D411yescharacteristic
366#66948—21no—
367#66948—21no—
368#66948—21no—
369#66948C2311yescharacteristic
370#66948C2311yescharacteristic
371#66947—21no—
372#66947—21no—
373#66947—21no—
374#66947—21no—
375#66947—21no—
376#66947—21no—
377#66947D411yescharacteristic
378#66946—21no—
379#66946—21no—
380#66946C2311yescharacteristic
381#66945C2311yescharacteristic
382C4⋊C4×D11—21no—
383C4⋊C4×D11—21no—
384C4⋊C4×D11C2311yescharacteristic
385C4⋊C4×D11C2311yescharacteristic
386#66942—21no—
387#66942—21no—
388#66942—21no—
389#66942—21no—
390#66941C2311yescharacteristic
391#66940—21no—
392#66938—21no—
393#66937—21no—
394#66937—21no—
395#66937—21no—
396#66937—21no—
397#66937—21no—
398#66937—21no—
399#66937D411yescharacteristic
400#66936—21no—
401#66936—21no—
402#66936D411yescharacteristic
403#66935—21no—
404#66935—21no—
405#66935D411yescharacteristic
406(C22⋊D11)⋊C4—21no—
407(C22⋊D11)⋊C4—21no—
408(C22⋊D11)⋊C4—21no—
409C22⋊C4×D11—21no—
410C22⋊C4×D11—21no—
411C22⋊C4×D11—21no—
412#66932—21no—
413#66931—21no—
414#66931—21no—
415#66931D411yescharacteristic
416#66929—21no—
417#66929—21no—
418#66928—21no—
419#66928—21no—
420#66928C2311yescharacteristic
421C4×D44—21no—
422C4×D44—21no—
423C4×D44C2311yescharacteristic
424C4×D44C2311yescharacteristic
425C4×D44C2311yescharacteristic
426#66925—21no—
427#66925—21no—
428#66925C2311yescharacteristic
429#66923C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C4×C8×C11C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66896C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460#66885C2311yescharacteristic
461#66885C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466(C2×D11)⋊C8C2311yescharacteristic
467(C2×D11)⋊C8C2311yescharacteristic
468(C2×D11)⋊C8C2311yescharacteristic
469(C2×D11)⋊C8C2311yescharacteristic
470#66882C2311yescharacteristic
471#66882C2311yescharacteristic
472#66881C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66879C2311yescharacteristic
477Dic11⋊C8C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479C8×Dic11C2311yescharacteristic
480#66874C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66871C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61654—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C23×D11C2×D411yescharacteristic
496C11×#41—22no—
497C11×#41—22no—
498C11×#41—41no—
499C11×#41—41no—
500C2×Q8×C11—21no—
501C2×Q8×C11—21no—
502C2×Q8×C11—41no—
503C2×Q8×C11—41no—
504C2×Q8×C11—41no—
505C2×Q8×C11—41no—
506C2×Q8×C11C2411yescharacteristic
507C2×Q8×C11C2411yescharacteristic
508C2×Q8×C11C2411yescharacteristic
509C2×Q8×C11C2411yescharacteristic
510C2×D4×C11—21no—
511C2×D4×C11—21no—
512C2×D4×C11—21no—
513C2×D4×C11—21no—
514C2×D4×C11—21no—
515C2×D4×C11—21no—
516C2×D4×C11C2×D411yescharacteristic
517C2×D4×C11C2411yescharacteristic
518C2×D4×C11C2411yescharacteristic
519C22×C4×C11—21no—
520C22×C4×C11—21no—
521C22×C4×C11—21no—
522C22×C4×C11—21no—
523C22×C4×C11C2411yescharacteristic
524C22×C4×C11C2411yescharacteristic
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11—21no—
535C2×C22⋊D11—21no—
536C2×C22⋊D11—21no—
537C2×C22⋊D11C2×D411yescharacteristic
538C2×C22⋊D11C2×D411yescharacteristic
539C2×C22⋊D11C2×D411yescharacteristic
540C2×C22⋊D11C2×D411yescharacteristic
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11C2×D411yescharacteristic
544#4343—22no—
545#4343—22no—
546#4343—22no—
547#4343—41no—
548#4343—41no—
549#4343—41no—
550#4343—41no—
551#4343—41no—
552Q8×D11—22no—
553Q8×D11—41no—
554#4341—41no—
555#4341—41no—
556#4341—44no—
557D4×D11—22no—
558D4×D11—22no—
559D4×D11—41no—
560D4×D11—41no—
561D4×D11—41no—
562D4×D11—41no—
563D4×D11—44no—
564D4×D11—44no—
565D4×D11—44no—
566D4×D11—82no—
567D4×D11—82no—
568D4×D11—82no—
569#4339—22no—
570#4339—41no—
571#4339—41no—
572#4339—41no—
573#4339—44no—
574#4339—44no—
575C2×D44—21no—
576C2×D44—21no—
577C2×D44—21no—
578C2×D44—21no—
579C2×D44—21no—
580C2×D44—21no—
581C2×D44—22no—
582C2×D44—21no—
583C2×D44—41no—
584C2×D44—44no—
585C2×D44C2×D411yescharacteristic
586C2×D44C2×D411yescharacteristic
587C2×D44C2411yescharacteristic
588C2×D44C2411yescharacteristic
589C2×D44C2411yescharacteristic
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11—21no—
595C2×C4×D11—21no—
596C2×C4×D11—21no—
597C2×C4×D11—21no—
598C2×C4×D11—21no—
599C2×C4×D11—21no—
600C2×C4×D11—21no—
601C2×C4×D11—41no—
602C2×C4×D11—41no—
603C2×C4×D11—44no—
604C2×C4×D11C2×D411yescharacteristic
605C2×C4×D11C2×D411yescharacteristic
606C2×C4×D11C2411yescharacteristic
607C2×C4×D11C2411yescharacteristic
608C2×C4×D11C2411yescharacteristic
609C2×Dic22—21no—
610C2×Dic22—21no—
611C2×Dic22C2×D411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×Q16—22no—
614C11×Q16—22no—
615C11×Q16—22no—
616C11×SD16—41no—
617C11×SD16—41no—
618C11×SD16—41no—
619C11×SD16—41no—
620C11×SD16—41no—
621C11×SD16—41no—
622C11×M16—41no—
623C11×M16—41no—
624C2×C8×C11C2411yescharacteristic
625C2×C8×C11C2411yescharacteristic
626C2×C8×C11C2411yescharacteristic
627C2×C8×C11C2411yescharacteristic
628C11×C4⋊C4—21no—
629C11×C4⋊C4—21no—
630C11×C4⋊C4—21no—
631C11×C4⋊C4—21no—
632C11×C4⋊C4—21no—
633C11×C4⋊C4—21no—
634C11×C4⋊C4C2×D411yescharacteristic
635C11×C4⋊C4C2411yescharacteristic
636C11×C4⋊C4C2411yescharacteristic
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C11×C22⋊C4—21no—
640C11×C22⋊C4—21no—
641C11×C22⋊C4C2×D411yescharacteristic
642C11×C22⋊C4C2×D411yescharacteristic
643C42×C11—21no—
644C42×C11—21no—
645C42×C11C2411yescharacteristic
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11C2×D411yescharacteristic
653C22⋊Dic11C2×D411yescharacteristic
654#4326—41no—
655#4326—41no—
656#4326—41no—
657#4325—22no—
658#4325—22no—
659#4325—22no—
660#4325—22no—
661#4325—41no—
662#4325—41no—
663#4325—41no—
664#4323—41no—
665#4323—41no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4C2×D411yescharacteristic
688(C2×D11)⋊C4C2×D411yescharacteristic
689(C2×D11)⋊C4C2×D411yescharacteristic
690(C2×D11)⋊C4C2×D411yescharacteristic
691(C2×D11)⋊C4C2×D411yescharacteristic
692(C2×D11)⋊C4C2×D411yescharacteristic
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11—21no—
698C4⋊Dic11C2×D411yescharacteristic
699C4⋊Dic11C2411yescharacteristic
700C4⋊Dic11C2411yescharacteristic
701C4⋊Dic11C2411yescharacteristic
702C4⋊Dic11C2411yescharacteristic
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715Dic11⋊C4—21no—
716Dic11⋊C4C2×D411yescharacteristic
717Dic11⋊C4C2×D411yescharacteristic
718Dic11⋊C4C2×D411yescharacteristic
719Dic11⋊C4C2×D411yescharacteristic
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11—21no—
723C4×Dic11—21no—
724C4×Dic11—21no—
725C4×Dic11C2411yescharacteristic
726#4318—41no—
727C2×C11⋊C8—41no—
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731C2×C11⋊C8C2411yescharacteristic
732D88—22no—
733D88—41no—
734#4314—41no—
735#4313—41no—
736#4313—41no—
737#4313—41no—
738C8×D11—41no—
739#3541—111no—
740#3488—111no—
741#3333—111no—
742#3327—111no—
743#3324—111no—
744#3322—111no—
745#3314—111no—
746#3313—111no—
747#3310—111no—
748#3309—111no—
749#3278D1111yescharacteristic, complemented
750#3277—111no—
751#3275—111no—
752#3272—111no—
753#3271—111no—
754#3269—111no—
755#3266—111no—
756#3265—111no—
757#3224—111no—
758#3222—111no—
759#3203—111no—
760#3201—111no—
761#3194—111no—
762#3193—111no—
763#3124—111no—
764#3120—111no—
765#3012—111no—
766#3009—111no—
767#3007—111no—
768#3005—111no—
769#2978—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11C22×D411yescharacteristic
773C23×C11C22×D411yescharacteristic
774C22×D11—21no—
775C22×D11—21no—
776C22×D11—21no—
777C22×D11—41no—
778C22×D11—41no—
779C22×D11—41no—
780C22×D11—42no—
781C22×D11—42no—
782C22×D11—42no—
783C22×D11—42no—
784C22×D11—42no—
785C22×D11—81no—
786C22×D11—81no—
787C22×D11—81no—
788C22×D11—81no—
789C22×D11—81no—
790C22×D11—81no—
791C22×D11—81no—
792C22×D11C22×D411yescharacteristic
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—21no—
799Q8×C11—21no—
800Q8×C11—21no—
801Q8×C11—21no—
802Q8×C11—81no—
803Q8×C11—81no—
804Q8×C11H(5,𝔽2)12yes—
805D4×C11—21no—
806D4×C11—21no—
807D4×C11—21no—
808D4×C11—21no—
809D4×C11—41no—
810D4×C11—42no—
811D4×C11—42no—
812D4×C11—81no—
813D4×C11—81no—
814D4×C11—81no—
815D4×C11—81no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—21no—
824C2×C4×C11—21no—
825C2×C4×C11—21no—
826C2×C4×C11—42no—
827C2×C4×C11—42no—
828C2×C4×C11—81no—
829C2×C4×C11—81no—
830C2×C4×C11C22×D411yescharacteristic
831C2×C4×C11C22×D411yescharacteristic
832C2×C4×C11C22×D411yescharacteristic
833C2×C4×C11C22×D411yescharacteristic
834C2×C4×C11C2511yescharacteristic
835C22⋊D11—41no—
836C22⋊D11—41no—
837C22⋊D11—41no—
838C22⋊D11—41no—
839C22⋊D11—42no—
840C22⋊D11—42no—
841C22⋊D11—42no—
842C22⋊D11—42no—
843C22⋊D11—42no—
844C22⋊D11—42no—
845C22⋊D11—42no—
846C22⋊D11—81no—
847C22⋊D11—81no—
848C22⋊D11—81no—
849C22⋊D11—81no—
850C22⋊D11—81no—
851C2×Dic11—21no—
852C2×Dic11—21no—
853C2×Dic11—21no—
854C2×Dic11—21no—
855C2×Dic11—21no—
856C2×Dic11—41no—
857C2×Dic11—42no—
858C2×Dic11—81no—
859C2×Dic11C22×D411yescharacteristic
860C2×Dic11C22×D411yescharacteristic
861C2×Dic11C22×D411yescharacteristic
862C2×Dic11C22×D411yescharacteristic
863C2×Dic11C22×D411yescharacteristic
864D44—24no—
865D44—21no—
866D44—21no—
867D44—21no—
868D44—21no—
869D44—21no—
870D44—41no—
871D44—41no—
872D44—42no—
873D44—42no—
874D44—42no—
875D44—81no—
876D44—81no—
877D44—81no—
878D44H(5,𝔽2)12yes—
879C4×D11—24no—
880C4×D11—21no—
881C4×D11—21no—
882C4×D11—21no—
883C4×D11—21no—
884C4×D11—21no—
885C4×D11—21no—
886C4×D11—41no—
887C4×D11—41no—
888C4×D11—42no—
889C4×D11—42no—
890C4×D11—42no—
891C4×D11—81no—
892C4×D11—81no—
893C4×D11—81no—
894C4×D11—81no—
895C4×D11—81no—
896C4×D11—81no—
897C4×D11—81no—
898Dic22—21no—
899Dic22—21no—
900Dic22—41no—
901Dic22—42no—
902Dic22—81no—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C8×C11—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C11⋊C8—21no—
911C2×H(5,𝔽2)—111no—
912C22×#41—111no—
913C2×#137—111no—
914C2×#137—111no—
915C2×#137C2×D1111yescharacteristic, complemented
916C2×#137C2×D1111yescharacteristic, complemented
917C2×AGL(1,ℤ/8)—111no—
918C2×AGL(1,ℤ/8)—111no—
919C2×#135—111no—
920C22×SD16—111no—
921#563—221no—
922#562—221no—
923#556—111no—
924#554—111no—
925#554—221no—
926#553—111no—
927#553—221no—
928#552—111no—
929#550—111no—
930#550C2×D1111yescharacteristic
931D4×Q8C2×D1111yescharacteristic, complemented
932#548—111no—
933#548—111no—
934#548—111no—
935#548—111no—
936#547—111no—
937#546—111no—
938#546—111no—
939#546—221no—
940#546—221no—
941D42—111no—
942D42—111no—
943D42—221no—
944D42—221no—
945#542—111no—
946#542—221no—
947#541—111no—
948#539—221no—
949#538—221no—
950#538—221no—
951#537—111no—
952#537—111no—
953#537—221no—
954#536—111no—
955#535—111no—
956#535—221no—
957#525—111no—
958#525—111no—
959#525—221no—
960C2×C22⋊Q8—111no—
961C2×#121—111no—
962C2×#121—221no—
963#520—111no—
964#497—111no—
965#496—111no—
966#495—111no—
967#492C2×D1111yescharacteristic, complemented
968#490—111no—
969#489—111no—
970#488—111no—
971#486—111no—
972#485—111no—
973#484—111no—
974#484—111no—
975#484—111no—
976#483—111no—
977#482—111no—
978#482—111no—
979#482—111no—
980#480—111no—
981#480—111no—
982#480—111no—
983#480—111no—
984#479—111no—
985#478—111no—
986#477—111no—
987#474—111no—
988#470—111no—
989#469—111no—
990#469—111no—
991#468—111no—
992#468—111no—
993#468—111no—
994#468—111no—
995#468—111no—
996#468—111no—
997#468—111no—
998#468C2×D1111yescharacteristic, complemented
999#468C2×D1111yescharacteristic, complemented
1000#467—111no—
1001#467—111no—
1002#466—111no—
1003#465—111no—
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#464—111no—
1008#463—111no—
1009#463—111no—
1010#462C2×D1111yescharacteristic, complemented
1011#461—111no—
1012#460—111no—
1013#460—111no—
1014#460C2×D1111yescharacteristic, complemented
1015#459—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#452—111no—
1020#452—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452—111no—
1026#452C2×D1111yescharacteristic, complemented
1027#452C2×D1111yescharacteristic, complemented
1028#451—111no—
1029#451—111no—
1030#451—111no—
1031#450—111no—
1032#450—111no—
1033#450—111no—
1034#450—111no—
1035#450—111no—
1036#450—111no—
1037#450—111no—
1038#450—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449—111no—
1044#449—111no—
1045#449—111no—
1046#449—111no—
1047#448—111no—
1048#448C2×D1111yescharacteristic, complemented
1049#448C2×D1111yescharacteristic, complemented
1050#447—111no—
1051#447—111no—
1052#441—111no—
1053#440—111no—
1054#440—111no—
1055#440—111no—
1056C4×Q16—111no—
1057C4×Q16C2×D1111yescharacteristic, complemented
1058C4×SD16—111no—
1059C4×D8—111no—
1060#436—111no—
1061#436—111no—
1062#436—111no—
1063#436C2×D1111yescharacteristic, complemented
1064#435—111no—
1065#435—111no—
1066#435—111no—
1067#435—111no—
1068#433—111no—
1069#433—111no—
1070#419—111no—
1071#418—111no—
1072#418—111no—
1073#417—111no—
1074#417—111no—
1075#417—111no—
1076#416—111no—
1077C2×#102—111no—
1078#408—111no—
1079#408—111no—
1080#407—111no—
1081#407—111no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—21no—
1086C22×C11—21no—
1087C22×C11—21no—
1088C22×C11—41no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11—41no—
1092C22×C11—41no—
1093C22×C11—41no—
1094C22×C11C23×D411yescharacteristic
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—21no—
1099C2×D11—21no—
1100C2×D11—21no—
1101C2×D11—22no—
1102C2×D11—21no—
1103C2×D11—21no—
1104C2×D11—21no—
1105C2×D11—41no—
1106C2×D11—41no—
1107C2×D11—41no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—41no—
1113C2×D11—82no—
1114C2×D11—84no—
1115C2×D11—162no—
1116C2×D11—162no—
1117C2×D11—162no—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—21no—
1122C4×C11—22no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11—41no—
1127C4×C11—41no—
1128C4×C11C2×H(5,𝔽2)11yescharacteristic
1129C4×C11C2×H(5,𝔽2)11yescharacteristic
1130Dic11—21no—
1131Dic11—21no—
1132Dic11—21no—
1133Dic11—21no—
1134Dic11—21no—
1135Dic11—41no—
1136Dic11—41no—
1137Dic11—41no—
1138Dic11—41no—
1139Dic11—41no—
1140H(5,𝔽2)—442no—
1141H(5,𝔽2)—442no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—111no—
1148C2×#41—111no—
1149C2×#41—221no—
1150C2×#41—221no—
1151C2×#41—221no—
1152C2×#41—442no—
1153C2×#41—442no—
1154C2×#41C22×D1111yescharacteristic
1155C2×#41C22×D1111yescharacteristic
1156C22×Q8—111no—
1157C22×Q8C22×D1111yescharacteristic
1158C22×Q8C22×D1111yescharacteristic
1159C22×D4—111no—
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—221no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C22×D4—221no—
1168C22×D4—221no—
1169C22×D4—221no—
1170C23×C4—111no—
1171C23×C4—221no—
1172#137—42no—
1173#137—42no—
1174#137—442no—
1175#137—442no—
1176AGL(1,ℤ/8)—442no—
1177AGL(1,ℤ/8)—442no—
1178#135—442no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16C22×D1111yescharacteristic
1183C2×Q16C22×D1111yescharacteristic
1184C2×Q16C22×D1111yescharacteristic
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—442no—
1194C2×SD16C22×D1111yescharacteristic
1195C2×SD16C22×D1111yescharacteristic
1196C2×SD16C22×D1111yescharacteristic
1197C2×SD16C22×D1111yescharacteristic
1198C2×SD16C22×D1111yescharacteristic
1199C2×SD16C22×D1111yescharacteristic
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8—111no—
1203C2×D8—111no—
1204C2×M16—111no—
1205C2×M16—111no—
1206C2×M16—111no—
1207C2×M16—111no—
1208C2×M16C22×D1111yescharacteristic
1209C2×M16C22×D1111yescharacteristic
1210C22×C8—111no—
1211C22×C8—111no—
1212C4⋊Q8—21no—
1213C4⋊Q8—111no—
1214C4⋊Q8—221no—
1215C4⋊Q8C22×D1111yescharacteristic
1216#127—21no—
1217#127—111no—
1218#127—221no—
1219#127C22×D1111yescharacteristic
1220#126—221no—
1221#126—221no—
1222#126—221no—
1223#126—221no—
1224#126—221no—
1225#126—221no—
1226#126—221no—
1227#125—111no—
1228#125—221no—
1229#125—221no—
1230#125—221no—
1231#125—221no—
1232#124—111no—
1233#124—111no—
1234#124—111no—
1235#124—221no—
1236#124—221no—
1237#124—221no—
1238#124—221no—
1239#124—221no—
1240#124—221no—
1241#124—221no—
1242#123—111no—
1243#123—111no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250#123—221no—
1251#123—221no—
1252#123—221no—
1253#123—221no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—111no—
1265C22⋊Q8—111no—
1266C22⋊Q8—111no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8—221no—
1277C22⋊Q8—221no—
1278C22⋊Q8C22×D1111yescharacteristic
1279C22⋊Q8C22×D1111yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—111no—
1283#121—111no—
1284#121—111no—
1285#121—111no—
1286#121—111no—
1287#121—111no—
1288#121—111no—
1289#121—111no—
1290#121—111no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#121—221no—
1299#121—221no—
1300#121—221no—
1301#121—221no—
1302#121—221no—
1303#121—221no—
1304#121—221no—
1305#121—221no—
1306#121—221no—
1307#121—221no—
1308#121—221no—
1309#121—221no—
1310#121—221no—
1311#121—221no—
1312#121—221no—
1313#121C22×D1111yescharacteristic
1314#121C22×D1111yescharacteristic
1315#120—111no—
1316#120—111no—
1317#120—221no—
1318#120—221no—
1319#120—221no—
1320#120—221no—
1321#120—221no—
1322#120—221no—
1323#120—221no—
1324#120—221no—
1325#120—221no—
1326C4×Q8—111no—
1327C4×Q8—111no—
1328C4×Q8—111no—
1329C4×Q8—221no—
1330C4×Q8C22×D1111yescharacteristic
1331C4×Q8C22×D1111yescharacteristic
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—111no—
1335C4×D4—111no—
1336C4×D4—111no—
1337C4×D4—111no—
1338C4×D4—111no—
1339C4×D4—111no—
1340C4×D4—221no—
1341C4×D4—221no—
1342C4×D4—221no—
1343C4×D4—221no—
1344C4×D4—221no—
1345C4×D4—221no—
1346C4×D4—221no—
1347C4×D4—221no—
1348C4×D4—221no—
1349C4×D4—221no—
1350C4×D4—221no—
1351C4×D4C22×D1111yescharacteristic
1352#117—111no—
1353#117—111no—
1354#117—111no—
1355#117—221no—
1356#117—221no—
1357C2×C4⋊C4—111no—
1358C2×C4⋊C4—111no—
1359C2×C4⋊C4—111no—
1360C2×C4⋊C4—221no—
1361C2×C4⋊C4—221no—
1362C2×C4⋊C4—221no—
1363C2×C22⋊C4—221no—
1364C2×C22⋊C4—221no—
1365C2×C22⋊C4—221no—
1366C2×C22⋊C4—221no—
1367#107—111no—
1368#107—111no—
1369#107—111no—
1370#107—111no—
1371#107—111no—
1372#107C22×D1111yescharacteristic
1373#106—111no—
1374#106—111no—
1375C4⋊C8—111no—
1376C4⋊C8—111no—
1377C4⋊C8—111no—
1378C4⋊C8C22×D1111yescharacteristic
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103C22×D1111yescharacteristic
1390#103C22×D1111yescharacteristic
1391#103C22×D1111yescharacteristic
1392#103C22×D1111yescharacteristic
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102—111no—
1405#102—111no—
1406#102—111no—
1407#102—111no—
1408#102—111no—
1409#102C22×D1111yescharacteristic
1410#102C22×D1111yescharacteristic
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8—111no—
1416C22⋊C8—111no—
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8C22×D1111yescharacteristic
1422C22⋊C8C22×D1111yescharacteristic
1423#97—111no—
1424#97—111no—
1425C4×C8—111no—
1426C4×C8C22×D1111yescharacteristic
1427C2×C11—41no—
1428C2×C11—41no—
1429C2×C11—81no—
1430C2×C11—81no—
1431C2×C11#348411yescharacteristic
1432C2×C11#358511yescharacteristic
1433C2×C11#358611yescharacteristic
1434D11—41no—
1435D11—41no—
1436D11—41no—
1437D11—42no—
1438D11—81no—
1439D11—81no—
1440C24—111no—
1441C24—221no—
1442C24—221no—
1443C24—221no—
1444C24—221no—
1445#41—22no—
1446#41—22no—
1447#41—41no—
1448#41—41no—
1449#41—222no—
1450#41—222no—
1451#41—222no—
1452#41—222no—
1453#41—441no—
1454#41—441no—
1455#41—441no—
1456#41—444no—
1457#41—444no—
1458#41—441no—
1459#41—441no—
1460#41—444no—
1461#41—441no—
1462#41—441no—
1463#41—441no—
1464#41—441no—
1465#41—441no—
1466C2×Q8—21no—
1467C2×Q8—21no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—41no—
1472C2×Q8—111no—
1473C2×Q8—111no—
1474C2×Q8—221no—
1475C2×Q8—221no—
1476C2×Q8—222no—
1477C2×Q8—441no—
1478C2×Q8C23×D1111yescharacteristic
1479C2×Q8C23×D1111yescharacteristic
1480C2×Q8C23×D1111yescharacteristic
1481C2×Q8C23×D1111yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—111no—
1489C2×D4—111no—
1490C2×D4—111no—
1491C2×D4—111no—
1492C2×D4—111no—
1493C2×D4—111no—
1494C2×D4—111no—
1495C2×D4—111no—
1496C2×D4—111no—
1497C2×D4—222no—
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—221no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—222no—
1510C2×D4—222no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—221no—
1514C2×D4—221no—
1515C2×D4—221no—
1516C2×D4—221no—
1517C2×D4—221no—
1518C2×D4—221no—
1519C2×D4—441no—
1520C2×D4—444no—
1521C2×D4—441no—
1522C2×D4—441no—
1523C2×D4—441no—
1524C2×D4—441no—
1525C2×D4—444no—
1526C2×D4—444no—
1527C2×D4—444no—
1528C2×D4—882no—
1529C2×D4—882no—
1530C2×D4—882no—
1531C2×D4D4×D1111yescharacteristic
1532C2×D4C23×D1111yescharacteristic
1533C2×D4C23×D1111yescharacteristic
1534C22×C4—21no—
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—111no—
1539C22×C4—111no—
1540C22×C4—111no—
1541C22×C4—111no—
1542C22×C4—111no—
1543C22×C4—111no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—221no—
1553C22×C4—221no—
1554C22×C4—221no—
1555C22×C4—221no—
1556C22×C4—221no—
1557C22×C4—441no—
1558C22×C4—441no—
1559C22×C4—444no—
1560C22×C4C23×D1111yescharacteristic
1561C22×C4C23×D1111yescharacteristic
1562Q16—22no—
1563Q16—22no—
1564Q16—22no—
1565Q16—441no—
1566Q16—441no—
1567Q16—441no—
1568SD16—41no—
1569SD16—41no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573SD16—41no—
1574SD16—222no—
1575SD16—222no—
1576SD16—222no—
1577SD16—222no—
1578SD16—441no—
1579SD16—441no—
1580SD16—441no—
1581SD16—441no—
1582D8—222no—
1583D8—441no—
1584D8—441no—
1585D8—441no—
1586M16—41no—
1587M16—41no—
1588M16—441no—
1589M16—441no—
1590M16—441no—
1591M16—441no—
1592C2×C8—111no—
1593C2×C8—111no—
1594C2×C8—111no—
1595C2×C8—111no—
1596C2×C8—441no—
1597C2×C8—441no—
1598C2×C8C23×D1111yescharacteristic
1599C2×C8C23×D1111yescharacteristic
1600C2×C8C23×D1111yescharacteristic
1601C2×C8C23×D1111yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—111no—
1609C4⋊C4—111no—
1610C4⋊C4—111no—
1611C4⋊C4—111no—
1612C4⋊C4—111no—
1613C4⋊C4—111no—
1614C4⋊C4—111no—
1615C4⋊C4—111no—
1616C4⋊C4—111no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4—221no—
1625C4⋊C4—221no—
1626C4⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4—221no—
1630C4⋊C4—221no—
1631C4⋊C4—221no—
1632C4⋊C4—221no—
1633C4⋊C4—221no—
1634C4⋊C4—221no—
1635C4⋊C4D4×D1111yescharacteristic
1636C4⋊C4C23×D1111yescharacteristic
1637C4⋊C4C23×D1111yescharacteristic
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—111no—
1643C22⋊C4—111no—
1644C22⋊C4—111no—
1645C22⋊C4—111no—
1646C22⋊C4—111no—
1647C22⋊C4—111no—
1648C22⋊C4—111no—
1649C22⋊C4—111no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4—221no—
1676C22⋊C4—221no—
1677C22⋊C4D4×D1111yescharacteristic
1678C22⋊C4D4×D1111yescharacteristic
1679C42—21no—
1680C42—21no—
1681C42—111no—
1682C42—221no—
1683C42—221no—
1684C42—221no—
1685C42—221no—
1686C42—221no—
1687C42C23×D1111yescharacteristic
1688C11#6165411yescharacteristic, complemented, Sylow
1689C23—21no—
1690C23—21no—
1691C23—111no—
1692C23—111no—
1693C23—111no—
1694C23—221no—
1695C23—221no—
1696C23—221no—
1697C23—441no—
1698C23—441no—
1699C23—441no—
1700C23—442no—
1701C23—442no—
1702C23—442no—
1703C23—442no—
1704C23—442no—
1705C23—881no—
1706C23—881no—
1707C23—881no—
1708C23—881no—
1709C23—881no—
1710C23—881no—
1711C23—881no—
1712C23C2×D4×D1111yescharacteristic
1713C23C2×D4×D1111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—81no—
1722Q8—81no—
1723Q8—221no—
1724Q8—221no—
1725Q8—441no—
1726Q8—442no—
1727Q8—881no—
1728Q8#6703712yes—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—41no—
1734D4—42no—
1735D4—42no—
1736D4—81no—
1737D4—81no—
1738D4—81no—
1739D4—81no—
1740D4—112no—
1741D4—224no—
1742D4—221no—
1743D4—221no—
1744D4—221no—
1745D4—221no—
1746D4—221no—
1747D4—441no—
1748D4—441no—
1749D4—442no—
1750D4—442no—
1751D4—442no—
1752D4—441no—
1753D4—441no—
1754D4—441no—
1755D4—441no—
1756D4—442no—
1757D4—442no—
1758D4—442no—
1759D4—442no—
1760D4—442no—
1761D4—442no—
1762D4—442no—
1763D4—881no—
1764D4—881no—
1765D4—881no—
1766D4—881no—
1767D4—881no—
1768D4—881no—
1769D4—881no—
1770D4—881no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—81no—
1784C2×C4—81no—
1785C2×C4—111no—
1786C2×C4—111no—
1787C2×C4—111no—
1788C2×C4—111no—
1789C2×C4—111no—
1790C2×C4—224no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—221no—
1797C2×C4—221no—
1798C2×C4—221no—
1799C2×C4—221no—
1800C2×C4—221no—
1801C2×C4—221no—
1802C2×C4—441no—
1803C2×C4—441no—
1804C2×C4—442no—
1805C2×C4—442no—
1806C2×C4—442no—
1807C2×C4—441no—
1808C2×C4—442no—
1809C2×C4—881no—
1810C2×C4—881no—
1811C2×C4—881no—
1812C2×C4—881no—
1813C2×C4—881no—
1814C2×C4—881no—
1815C2×C4—881no—
1816C2×C4—881no—
1817C2×C4C2×D4×D1111yescharacteristic
1818C2×C4C2×D4×D1111yescharacteristic
1819C2×C4C2×D4×D1111yescharacteristic
1820C2×C4C2×D4×D1111yescharacteristic
1821C2×C4C24×D1111yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—221no—
1827C8—221no—
1828C8—221no—
1829C8—221no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—221no—
1843C22—221no—
1844C22—221no—
1845C22—221no—
1846C22—221no—
1847C22—221no—
1848C22—221no—
1849C22—222no—
1850C22—221no—
1851C22—221no—
1852C22—441no—
1853C22—441no—
1854C22—441no—
1855C22—441no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—882no—
1861C22—884no—
1862C22—1762no—
1863C22—1762no—
1864C22—1762no—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—22no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—221no—
1877C4—221no—
1878C4—221no—
1879C4—221no—
1880C4—221no—
1881C4—441no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4C2×#6703711yescharacteristic
1887C4D11×H(5,𝔽2)11yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—81no—
1891C2—81no—
1892C2—441no—
1893C2—441no—
1894C2—441no—
1895C2—442no—
1896C2—881no—
1897C2—881no—
1898C2#1308224411yescharacteristic
1899C2#1308339411yescharacteristic
1900C2#1308339911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3278C2
socleC22×C11C23×D4
hypercenter#3278D11
hypocenterC11#61654
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3278

Complements

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

NH ≅ G/Ntype
1. #13082914C2semidirect
2. #13082284C2semidirect
3. #13080947C2semidirect
4. #13080889C2semidirect
5. #13080842C2semidirect
6. #13080819C2semidirect
7. #13080692C2semidirect
8. #13080686C2semidirect
9. #13080644C2semidirect
10. #13080622C2semidirect
11. #13080267C2semidirect
12. #13080250C2semidirect
13. #13080215C2semidirect
14. #13080195C2semidirect
15. #13080166C2semidirect
16. #13080127C2semidirect
17. #13080104C2semidirect
18. #13079715C2semidirect
19. #13079681C2semidirect
20. #13079514C2semidirect
21. #13079494C2semidirect
22. #13079431C2semidirect
23. #13079420C2semidirect
24. #13078884C2semidirect
25. #13078829C2semidirect
26. #13077924C2semidirect
27. #13077892C2semidirect
28. #13077872C2semidirect
29. #13077859C2semidirect
30. #13077673C2semidirect
31. C11×#3278C2semidirect
34. C2×C11×#137C22semidirect
35. C2×C11×#137C22semidirect
37. D4×Q8×C11C22semidirect
40. #10623348C22semidirect
41. #10623348C22semidirect
42. #10623347C22semidirect
43. C2×#66999C22semidirect
44. C2×#66995C22semidirect
45. C22×#4325C22semidirect
46. C2×#66972C22semidirect
47. C2×#66971C22semidirect
48. C2×#66967C22semidirect
49. C2×#66967C22semidirect
52. #10623262C22semidirect
53. #10623257C22semidirect
60. #10623172C22semidirect
63. #10623166C22semidirect
64. #10623160C22semidirect
65. #10623158C22semidirect
74. #10623113C22semidirect
75. #10623112C22semidirect
78. #10623096C22semidirect
85. C11×#492C22semidirect
86. C11×#468C22semidirect
87. C11×#468C22semidirect
88. C11×#462C22semidirect
89. C11×#460C22semidirect
90. C11×#452C22semidirect
91. C11×#452C22semidirect
92. C11×#448C22semidirect
93. C11×#448C22semidirect
94. C4×C11×Q16C22semidirect
95. C11×#436C22semidirect
96. #10622851C22semidirect
97. #10622851C22semidirect
98. #10622846C22semidirect
99. #10622845C22semidirect
100. #10622841C22semidirect
101. #10622840C22semidirect
105. #10622800C22semidirect
106. #10622800C22semidirect
107. #10622799C22semidirect
108. #10622799C22semidirect
109. #10622798C22semidirect
110. #10622797C22semidirect
111. Q16×Dic11C22semidirect
112. #10622789C22semidirect
113. #10622787C22semidirect
114. #10622787C22semidirect
115. #10622787C22semidirect
116. #10622786C22semidirect
117. #10622786C22semidirect
118. #10622786C22semidirect
119. #10622785C22semidirect
120. #10622785C22semidirect
121. #10622784C22semidirect
122. #10622782C22semidirect
123. #10622782C22semidirect
124. #10622782C22semidirect
125. #10622782C22semidirect
126. #10622782C22semidirect
127. #10622782C22semidirect
128. #10622782C22semidirect
129. #10622781C22semidirect
130. #10622779C22semidirect
131. #10622779C22semidirect
132. #10622776C22semidirect
133. #10622776C22semidirect
134. #10622748C22semidirect
135. #10622747C22semidirect
136. #10622746C22semidirect
137. #10622744C22semidirect
138. #10622742C22semidirect
139. #10622741C22semidirect
140. #10622740C22semidirect
141. #10622739C22semidirect
142. #10622699C22semidirect
143. #10622696C22semidirect
144. #10622685C22semidirect
145. #10622684C22semidirect
146. #10622664C22semidirect
147. #10622662C22semidirect
148. #10622660C22semidirect
149. #10622659C22semidirect
150. #10622652C22semidirect
151. #10622651C22semidirect
152. #10622648C22semidirect
153. #10622646C22semidirect
154. #10622641C22semidirect
155. #10622639C22semidirect
156. #10622639C22semidirect
157. #10622635C22semidirect
158. #10622624C22semidirect
159. #10622503C22semidirect
160. #10622498C22semidirect
161. #10622497C22semidirect
162. #10622495C22semidirect
163. #10622460C22semidirect
164. #10622457C22semidirect
165. #10622453C22semidirect
166. #10622449C22semidirect
167. #10622432C22semidirect
168. #10622430C22semidirect
169. #10622429C22semidirect
170. #10622426C22semidirect
171. #10622425C22semidirect
172. #10622425C22semidirect
174. #10622424C22semidirect
175. #10622423C22semidirect
176. #10622422C22semidirect
177. #10622422C22semidirect
178. #10622418C22semidirect
179. #10622416C22semidirect
180. #10622415C22semidirect
181. #10622407C22semidirect
182. #10622401C22semidirect
183. #10622394C22semidirect
184. #10622392C22semidirect
185. #10622387C22semidirect
186. #10622386C22semidirect
187. #10622383C22semidirect
188. D11×#102C22semidirect
189. #10622378C22semidirect
190. #10622373C22semidirect
191. #10622349C22semidirect
192. #10622347C22semidirect
193. #10622345C22semidirect
194. #10622343C22semidirect
195. #10622342C22semidirect
196. #10622340C22semidirect
197. #10622339C22semidirect
198. #10622336C22semidirect
199. #10622310C22semidirect
200. C4×D88C22semidirect
201. #10622303C22semidirect
202. #10622301C22semidirect
749. #3278D11semidirect
915. C2×#137C2×D11semidirect
916. C2×#137C2×D11semidirect
931. D4×Q8C2×D11semidirect
967. #492C2×D11semidirect
998. #468C2×D11semidirect
999. #468C2×D11semidirect
1010. #462C2×D11semidirect
1014. #460C2×D11semidirect
1026. #452C2×D11semidirect
1027. #452C2×D11semidirect
1048. #448C2×D11semidirect
1049. #448C2×D11semidirect
1057. C4×Q16C2×D11semidirect
1063. #436C2×D11semidirect
1688. C11#61654semidirect

Maximal subgroups

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

subgroupindex
#130829142
#130822842
#130809472
#130808892
#130808422
#130808192
#130806922
#130806862
#130806442
#130806222
#130802672
#130802502
#130802152
#130801952
#130801662
#130801272
#130801042
#130797152
#130796812
#130795142
#130794942
#130794312
#130794202
#130788842
#130788292
#130779242
#130778922
#130778722
#130778592
#130776732
C11×#32782
#6165411