Finite Group Databasebeta

← #15624692

Subgroups — #15624692

Order 2816.

2140 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082292C211yesmaximal, characteristic, complemented
2#13081946C211yesmaximal, characteristic, complemented
3#13079529C211yesmaximal, characteristic, complemented
4#13079523C211yesmaximal, characteristic, complemented
5#13079520C211yesmaximal, characteristic, complemented
6#13079514C211yesmaximal, characteristic, complemented
7#13079502C211yesmaximal, characteristic, complemented
8#13079499C211yesmaximal, characteristic, complemented
9#13079494C211yesmaximal, characteristic, complemented
10#13079493C211yesmaximal, characteristic, complemented
11#13079458C211yesmaximal, characteristic, complemented
12#13079457C211yesmaximal, characteristic, complemented
13#13079450C211yesmaximal, characteristic, complemented
14#13079411C211yesmaximal, characteristic, complemented
15#13079404C211yesmaximal, characteristic, complemented
16#13079397C211yesmaximal, characteristic, complemented
17#13079395C211yesmaximal, characteristic, complemented
18#13078584C211yesmaximal, characteristic, complemented
19#13078573C211yesmaximal, characteristic, complemented
20#13078563C211yesmaximal, characteristic, complemented
21#13078534C211yesmaximal, characteristic, complemented
22#13078304C211yesmaximal, characteristic, complemented
23#13078291C211yesmaximal, characteristic, complemented
24#13078269C211yesmaximal, characteristic, complemented
25#13078253C211yesmaximal, characteristic, complemented
26#13077906C211yesmaximal, characteristic, complemented
27#13077897C211yesmaximal, characteristic, complemented
28#13077859C211yesmaximal, characteristic, complemented
29D11×#452C211yesmaximal, characteristic, complemented
30#13077066C211yesmaximal, characteristic, complemented
31C11×#3196C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#67040C2211yescharacteristic
34C22×#4339C2211yescharacteristic
35C11×#525C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic, complemented
37#10623359C2211yescharacteristic
38#10623347C2211yescharacteristic, complemented
39#10623322C2211yescharacteristic
40#10623322C2211yescharacteristic, complemented
41C2×#66971C2211yescharacteristic, complemented
42C2×Q16×D11C2211yescharacteristic, complemented
43C2×#66967C2211yescharacteristic, complemented
44C2×SD16×D11C2211yescharacteristic, complemented
45C2×#66960C2211yescharacteristic
46C2×#66960C2211yescharacteristic
47#10623184—21no—
48#10623179—21no—
49#10623164—21no—
50#10623163—21no—
51#10623162—21no—
52#10623161—21no—
53#10623160C2211yescharacteristic
54#10623160C2211yescharacteristic
55#10623160C2211yescharacteristic
56#10623160C2211yescharacteristic, complemented
57#10623159C2211yescharacteristic
58#10623159C2211yescharacteristic
59#10623159C2211yescharacteristic
60#10623159C2211yescharacteristic, complemented
61#10623158C2211yescharacteristic
62#10623158C2211yescharacteristic, complemented
63D11×C22⋊Q8C2211yescharacteristic
64D11×C22⋊Q8C2211yescharacteristic, complemented
65#10623139C2211yescharacteristic
66#10623139C2211yescharacteristic
67#10623138C2211yescharacteristic
68#10623138C2211yescharacteristic
69#10623123—21no—
70#10623120—21no—
71#10623079—21no—
72#10623079—21no—
73#10623078—21no—
74#10623078—21no—
75#10623055C2211yescharacteristic
76D11×#117C2211yescharacteristic
77#10623041C2211yescharacteristic, complemented
78#10623038—21no—
79#10623038—21no—
80#10623035C2211yescharacteristic
81#10623021—21no—
82#10623021—21no—
83C11×#485C2211yescharacteristic, complemented
84C11×#485C2211yescharacteristic, complemented
85C11×#484C2211yescharacteristic, complemented
86C11×#481C2211yescharacteristic, complemented
87C11×#470C2211yescharacteristic, complemented
88C11×#470C2211yescharacteristic, complemented
89C11×#468C2211yescharacteristic, complemented
90C11×#468C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic
92C11×#452C2211yescharacteristic
93C11×#451C2211yescharacteristic, complemented
94C11×#448C2211yescharacteristic, complemented
95C11×#407C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic
97#10622851C2211yescharacteristic
98#10622841C2211yescharacteristic, complemented
99#10622840C2211yescharacteristic, complemented
100C2×C22⋊(C11⋊C8)C2211yescharacteristic, complemented
101#10622802C2211yescharacteristic, complemented
102#10622801C2211yescharacteristic, complemented
103#10622800C2211yescharacteristic, complemented
104#10622800C2211yescharacteristic, complemented
105#10622800C2211yescharacteristic, complemented
106#10622799C2211yescharacteristic, complemented
107#10622787C2211yescharacteristic, complemented
108#10622786C2211yescharacteristic, complemented
109#10622786C2211yescharacteristic, complemented
110#10622785C2211yescharacteristic, complemented
111#10622784C2211yescharacteristic, complemented
112#10622783C2211yescharacteristic, complemented
113#10622750C2211yescharacteristic, complemented
114#10622748C2211yescharacteristic, complemented
115#10622747C2211yescharacteristic, complemented
116#10622747C2211yescharacteristic, complemented
117#10622742C2211yescharacteristic, complemented
118#10622742C2211yescharacteristic, complemented
119#10622664C2211yescharacteristic, complemented
120#10622664C2211yescharacteristic, complemented
121#10622664C2211yescharacteristic, complemented
122#10622661C2211yescharacteristic, complemented
123#10622661C2211yescharacteristic, complemented
124#10622661C2211yescharacteristic, complemented
125#10622660C2211yescharacteristic
126#10622660C2211yescharacteristic
127#10622660C2211yescharacteristic, complemented
128#10622658C2211yescharacteristic, complemented
129#10622658C2211yescharacteristic, complemented
130#10622658C2211yescharacteristic, complemented
131#10622654C2211yescharacteristic, complemented
132#10622651C2211yescharacteristic, complemented
133#10622650C2211yescharacteristic, complemented
134#10622648C2211yescharacteristic, complemented
135#10622616C2211yescharacteristic, complemented
136#10622609C2211yescharacteristic, complemented
137#10622584C2211yescharacteristic, complemented
138#10622580C2211yescharacteristic, complemented
139#10622501C2211yescharacteristic, complemented
140#10622499C2211yescharacteristic, complemented
141#10622497C2211yescharacteristic, complemented
142#10622497C2211yescharacteristic, complemented
143#10622496C2211yescharacteristic, complemented
144#10622495C2211yescharacteristic, complemented
145#10622494C2211yescharacteristic, complemented
146#10622493C2211yescharacteristic, complemented
147#10622481C2211yescharacteristic, complemented
148#10622479C2211yescharacteristic, complemented
149#10622477C2211yescharacteristic, complemented
150#10622476C2211yescharacteristic, complemented
151#10622476C2211yescharacteristic, complemented
152#10622475C2211yescharacteristic, complemented
153#10622474C2211yescharacteristic, complemented
154#10622473C2211yescharacteristic, complemented
155#10622429C2211yescharacteristic, complemented
156#10622427C2211yescharacteristic, complemented
157#10622426C2211yescharacteristic, complemented
158#10622426C2211yescharacteristic, complemented
159#10622425C2211yescharacteristic, complemented
160#10622425C2211yescharacteristic, complemented
161#10622424C2211yescharacteristic, complemented
162#10622424C2211yescharacteristic, complemented
163#10622423C2211yescharacteristic, complemented
164#10622423C2211yescharacteristic, complemented
165#10622422C2211yescharacteristic, complemented
166#10622422C2211yescharacteristic, complemented
167#10622421C2211yescharacteristic, complemented
168#10622420C2211yescharacteristic, complemented
169#10622419C2211yescharacteristic, complemented
170#10622418C2211yescharacteristic, complemented
171#10622418C2211yescharacteristic, complemented
172#10622418C2211yescharacteristic, complemented
173#10622417C2211yescharacteristic, complemented
174#10622417C2211yescharacteristic, complemented
175#10622415C2211yescharacteristic, complemented
176#10622415C2211yescharacteristic, complemented
177#10622415C2211yescharacteristic, complemented
178D11×#103C2211yescharacteristic, complemented
179#10622396C2211yescharacteristic, complemented
180#10622395C2211yescharacteristic, complemented
181#10622394C2211yescharacteristic, complemented
182#10622392C2211yescharacteristic, complemented
183#10622391C2211yescharacteristic, complemented
184#10622387C2211yescharacteristic, complemented
185#10622383C2211yescharacteristic, complemented
186D11×#102C2211yescharacteristic, complemented
187#10622350C2211yescharacteristic, complemented
188#10622350C2211yescharacteristic, complemented
189#10622347C2211yescharacteristic
190#10622347C2211yescharacteristic, complemented
191#10622346C2211yescharacteristic
192#10622346C2211yescharacteristic, complemented
193#10622340C2211yescharacteristic
194#10622340C2211yescharacteristic
195#10622340C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic
198#10622339C2211yescharacteristic, complemented
199D11×C22⋊C8C2211yescharacteristic
200D11×C22⋊C8C2211yescharacteristic, complemented
201#10622336C2211yescharacteristic, complemented
202#10622336C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C22×C22⋊D11D411yescharacteristic
207C22×C22⋊D11D411yescharacteristic
208#41×D11—42no—
209#41×D11—42no—
210#67040—42no—
211#67040—42no—
212C2×#4343—21no—
213C2×#4343C2311yescharacteristic
214C2×#4343C2311yescharacteristic
215C2×#4343C2311yescharacteristic
216C2×Q8×D11—21no—
217C2×Q8×D11C2311yescharacteristic
218C2×Q8×D11C2311yescharacteristic
219C2×Q8×D11C2311yescharacteristic
220C2×#4341—21no—
221C2×#4341C2311yescharacteristic
222C2×D4×D11—21no—
223C2×D4×D11C2311yescharacteristic
224C2×#4339—21no—
225C2×#4339—21no—
226C2×#4339—21no—
227C2×#4339—42no—
228C2×#4339—42no—
229C2×#4339D411yescharacteristic
230C2×#4339D411yescharacteristic
231C2×#4339D411yescharacteristic
232C2×#4339D411yescharacteristic
233C2×#4339C2311yescharacteristic
234C2×#4339C2311yescharacteristic
235C2×#4339C2311yescharacteristic
236C2×#4339C2311yescharacteristic
237C2×#4339C2311yescharacteristic
238C2×#4339C2311yescharacteristic
239C22×D44D411yescharacteristic
240C22×C4×D11—21no—
241C22×C4×D11C2311yescharacteristic
242C22×C4×D11C2311yescharacteristic
243C22×Dic22D411yescharacteristic
244C2×C11×Q16C2311yescharacteristic
245C2×C11×Q16C2311yescharacteristic
246C2×C11×SD16C2311yescharacteristic
247C2×C11×SD16C2311yescharacteristic
248C2×C11×M16C2311yescharacteristic
249C2×C11×M16C2311yescharacteristic
250C11×#123—21no—
251C11×C22⋊Q8—21no—
252C11×C22⋊Q8—21no—
253C11×C22⋊Q8C2311yescharacteristic
254C11×C22⋊Q8C2311yescharacteristic
255C11×C22⋊Q8C2311yescharacteristic
256C11×C22⋊Q8C2311yescharacteristic
257C11×C22⋊Q8C2311yescharacteristic
258C11×C22⋊Q8C2311yescharacteristic
259C11×#121C2311yescharacteristic
260C11×#121C2311yescharacteristic
261C11×#120—21no—
262C4×D4×C11—21no—
263C4×D4×C11—21no—
264C11×#117C2311yescharacteristic
265C2×C11×C4⋊C4—21no—
266C2×C11×C4⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4—21no—
268#67006—21no—
269#67006—21no—
270#67000—21no—
271#66999C2311yescharacteristic
272#66999C2311yescharacteristic
273#66999C2311yescharacteristic
274#66999C2311yescharacteristic
275#66999C2311yescharacteristic
276#66999C2311yescharacteristic
277#66997—21no—
278C2×#4326C2311yescharacteristic
279C2×#4326C2311yescharacteristic
280C2×#4326C2311yescharacteristic
281C2×#4325C2311yescharacteristic
282C2×#4325C2311yescharacteristic
283C2×#4325C2311yescharacteristic
284#66993—21no—
285#66993—21no—
286#66992—21no—
287#66992—21no—
288#66991—21no—
289#66991—21no—
290#66991C2311yescharacteristic
291#66991C2311yescharacteristic
292#66990—21no—
293#66990—21no—
294#66990—21no—
295#66988—21no—
296C2×#4324C2311yescharacteristic
297C2×#4323C2311yescharacteristic
298#66983—21no—
299#66983—21no—
300#66983C2311yescharacteristic
301#66983C2311yescharacteristic
302#66983C2311yescharacteristic
303#66983C2311yescharacteristic
304#66982—21no—
305#66982—21no—
306#66982—21no—
307#66982—21no—
308C4×C22⋊D11—21no—
309C4×C22⋊D11—21no—
310C4×C22⋊D11—21no—
311C4×C22⋊D11—21no—
312C4×C22⋊D11—21no—
313C4×C22⋊D11—21no—
314C4×C22⋊D11—21no—
315C4×C22⋊D11—21no—
316#66979C2311yescharacteristic
317#66979C2311yescharacteristic
318#66977C2311yescharacteristic
319#66977C2311yescharacteristic
320#66977C2311yescharacteristic
321#66977C2311yescharacteristic
322C22×C11⋊C8C2311yescharacteristic
323C22×C11⋊C8C2311yescharacteristic
324#66971—42no—
325Q16×D11—42no—
326#66967—42no—
327SD16×D11—42no—
328#66960—42no—
329#66960—42no—
330C2×Dic44C2311yescharacteristic
331C2×D88C2311yescharacteristic
332C2×#4314C2311yescharacteristic
333C2×#4314C2311yescharacteristic
334C2×#4313C2311yescharacteristic
335C2×#4313C2311yescharacteristic
336C2×#4313C2311yescharacteristic
337C2×#4313C2311yescharacteristic
338C2×C8×D11C2311yescharacteristic
339C2×C8×D11C2311yescharacteristic
340C2×C8×D11C2311yescharacteristic
341C2×C8×D11C2311yescharacteristic
342#66950—21no—
343#66950C2311yescharacteristic
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66949—21no—
348#66949—21no—
349#66949—21no—
350#66949—21no—
351#66949—21no—
352#66949—21no—
353#66948—21no—
354#66948—21no—
355#66948—21no—
356#66948—21no—
357#66948—21no—
358#66948C2311yescharacteristic
359#66948C2311yescharacteristic
360#66948C2311yescharacteristic
361#66948C2311yescharacteristic
362#66947—21no—
363#66947—21no—
364#66947—21no—
365#66947—21no—
366#66947—21no—
367#66947—21no—
368#66946—21no—
369#66946—21no—
370#66946—21no—
371#66945C2311yescharacteristic
372#66945C2311yescharacteristic
373#66945C2311yescharacteristic
374#66945C2311yescharacteristic
375C4⋊C4×D11—21no—
376C4⋊C4×D11—21no—
377C4⋊C4×D11C2311yescharacteristic
378C4⋊C4×D11C2311yescharacteristic
379C4⋊C4×D11C2311yescharacteristic
380C4⋊C4×D11C2311yescharacteristic
381#66941—21no—
382#66941—21no—
383#66941—21no—
384#66941—21no—
385#66940—21no—
386#66939—21no—
387#66938—21no—
388#66938—21no—
389#66938—21no—
390#66938—21no—
391#66938—21no—
392#66938—21no—
393#66937—21no—
394#66937—21no—
395#66937—21no—
396#66937—21no—
397#66937—21no—
398#66937—21no—
399#66937—21no—
400#66937—21no—
401#66937—21no—
402#66937—21no—
403#66936—21no—
404#66936—21no—
405#66936—21no—
406#66936—21no—
407#66935—21no—
408#66935—21no—
409#66935—21no—
410#66935—21no—
411#66935—21no—
412(C22⋊D11)⋊C4—21no—
413(C22⋊D11)⋊C4—21no—
414C22⋊C4×D11—21no—
415C22⋊C4×D11—21no—
416C22⋊C4×D11—21no—
417#66931—21no—
418#66931—21no—
419#66931—21no—
420#66931—21no—
421#66930—21no—
422C4×D44—21no—
423C4×D44—21no—
424#66925—21no—
425C42×D11—21no—
426C11×#107C2311yescharacteristic
427C11×#107C2311yescharacteristic
428C11×#106C2311yescharacteristic
429C11×#106C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×C22⋊C8C2311yescharacteristic
441C11×C22⋊C8C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450C22⋊(C11⋊C8)C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466#66882C2311yescharacteristic
467#66882C2311yescharacteristic
468#66881C2311yescharacteristic
469#66881C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66872C2311yescharacteristic
483#66872C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488#66871C2311yescharacteristic
489#66871C2311yescharacteristic
490#60761—111nomaximal, Sylow
491C24×C11C2×D411yescharacteristic
492C23×D11—21no—
493C23×D11C2×D411yescharacteristic
494C23×D11C2×D411yescharacteristic
495C11×#41—41no—
496C11×#41—41no—
497C2×Q8×C11—21no—
498C2×Q8×C11—41no—
499C2×Q8×C11—41no—
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11C2411yescharacteristic
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11—41no—
511C22×C4×C11—41no—
512C22×C4×C11C2×D411yescharacteristic
513C22×C4×C11C2×D411yescharacteristic
514C22×C4×C11C2×D411yescharacteristic
515C22×C4×C11C2411yescharacteristic
516C22×C4×C11C2411yescharacteristic
517C22×C4×C11C2411yescharacteristic
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—42no—
529C2×C22⋊D11—42no—
530C2×C22⋊D11C2×D411yescharacteristic
531C2×C22⋊D11C2×D411yescharacteristic
532C2×C22⋊D11C2×D411yescharacteristic
533C2×C22⋊D11C2×D411yescharacteristic
534C2×C22⋊D11C2×D411yescharacteristic
535C2×C22⋊D11C2×D411yescharacteristic
536C2×C22⋊D11C2×D411yescharacteristic
537C2×C22⋊D11C2×D411yescharacteristic
538C22×Dic11—21no—
539C22×Dic11C2×D411yescharacteristic
540C22×Dic11C2×D411yescharacteristic
541#4343—22no—
542#4343—22no—
543#4343—41no—
544#4343—41no—
545#4343—41no—
546#4343—41no—
547#4343—44no—
548Q8×D11—22no—
549Q8×D11—22no—
550Q8×D11—22no—
551Q8×D11—22no—
552Q8×D11—41no—
553Q8×D11—41no—
554Q8×D11—44no—
555#4341—41no—
556#4341—41no—
557#4341—44no—
558D4×D11—22no—
559D4×D11—22no—
560D4×D11—44no—
561#4339—22no—
562#4339—22no—
563#4339—22no—
564#4339—22no—
565#4339—41no—
566#4339—41no—
567#4339—41no—
568#4339—41no—
569#4339—41no—
570#4339—41no—
571#4339—41no—
572#4339—41no—
573#4339—42no—
574#4339—42no—
575#4339—42no—
576#4339—42no—
577#4339—44no—
578#4339—44no—
579#4339—44no—
580C2×D44—21no—
581C2×D44—21no—
582C2×D44—21no—
583C2×D44—21no—
584C2×D44—21no—
585C2×D44—21no—
586C2×D44—21no—
587C2×D44—42no—
588C2×D44C2×D411yescharacteristic
589C2×D44C2×D411yescharacteristic
590C2×D44C2×D411yescharacteristic
591C2×D44C2×D411yescharacteristic
592C2×D44C2411yescharacteristic
593C2×D44C2411yescharacteristic
594C2×C4×D11—22no—
595C2×C4×D11—22no—
596C2×C4×D11—21no—
597C2×C4×D11—21no—
598C2×C4×D11—21no—
599C2×C4×D11—21no—
600C2×C4×D11—21no—
601C2×C4×D11—21no—
602C2×C4×D11—21no—
603C2×C4×D11—21no—
604C2×C4×D11—21no—
605C2×C4×D11—21no—
606C2×C4×D11—21no—
607C2×C4×D11—21no—
608C2×C4×D11—41no—
609C2×C4×D11—41no—
610C2×C4×D11—44no—
611C2×C4×D11C2×D411yescharacteristic
612C2×C4×D11C2×D411yescharacteristic
613C2×C4×D11C2×D411yescharacteristic
614C2×C4×D11C2×D411yescharacteristic
615C2×C4×D11C2411yescharacteristic
616C2×C4×D11C2411yescharacteristic
617C2×C4×D11C2411yescharacteristic
618C2×C4×D11C2411yescharacteristic
619C2×Dic22—21no—
620C2×Dic22—21no—
621C2×Dic22—21no—
622C2×Dic22—42no—
623C2×Dic22C2×D411yescharacteristic
624C2×Dic22C2×D411yescharacteristic
625C2×Dic22C2×D411yescharacteristic
626C2×Dic22C2×D411yescharacteristic
627C2×Dic22C2411yescharacteristic
628C2×Dic22C2411yescharacteristic
629C11×Q16—41no—
630C11×Q16—41no—
631C11×SD16—41no—
632C11×SD16—41no—
633C11×M16—41no—
634C11×M16—41no—
635C2×C8×C11C2411yescharacteristic
636C2×C8×C11C2411yescharacteristic
637C2×C8×C11C2411yescharacteristic
638C2×C8×C11C2411yescharacteristic
639C11×C4⋊C4—21no—
640C11×C4⋊C4—21no—
641C11×C4⋊C4—21no—
642C11×C4⋊C4—21no—
643C11×C4⋊C4—21no—
644C11×C4⋊C4—21no—
645C11×C4⋊C4—21no—
646C11×C4⋊C4C2411yescharacteristic
647C11×C4⋊C4C2411yescharacteristic
648C11×C4⋊C4C2411yescharacteristic
649C11×C4⋊C4C2411yescharacteristic
650C11×C22⋊C4—21no—
651C11×C22⋊C4—21no—
652C11×C22⋊C4—21no—
653C11×C22⋊C4—21no—
654C11×C22⋊C4—21no—
655C11×C22⋊C4—21no—
656C11×C22⋊C4—21no—
657C11×C22⋊C4—21no—
658C11×C22⋊C4—21no—
659C42×C11—21no—
660C22⋊Dic11—21no—
661C22⋊Dic11—21no—
662C22⋊Dic11—21no—
663C22⋊Dic11—21no—
664C22⋊Dic11—21no—
665C22⋊Dic11—21no—
666C22⋊Dic11—21no—
667C22⋊Dic11—21no—
668#4326—41no—
669#4326—41no—
670#4326—41no—
671#4325—41no—
672#4325—41no—
673#4325—41no—
674#4324—41no—
675#4323—41no—
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)⋊C4—21no—
688(C2×D11)⋊C4—21no—
689(C2×D11)⋊C4—21no—
690(C2×D11)⋊C4—21no—
691(C2×D11)⋊C4—21no—
692(C2×D11)⋊C4—21no—
693(C2×D11)⋊C4—21no—
694(C2×D11)⋊C4—21no—
695(C2×D11)⋊C4—21no—
696(C2×D11)⋊C4—21no—
697(C2×D11)⋊C4—21no—
698C4⋊Dic11—21no—
699C4⋊Dic11—21no—
700C4⋊Dic11—21no—
701C4⋊Dic11—21no—
702C4⋊Dic11C2411yescharacteristic
703C4⋊Dic11C2411yescharacteristic
704C4⋊Dic11C2411yescharacteristic
705C4⋊Dic11C2411yescharacteristic
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⋊C4—21no—
717Dic11⋊C4—21no—
718Dic11⋊C4—21no—
719Dic11⋊C4—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11—21no—
723C4×Dic11—21no—
724C4×Dic11—21no—
725C4×Dic11—21no—
726C2×C11⋊C8—41no—
727C2×C11⋊C8—41no—
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731C2×C11⋊C8C2411yescharacteristic
732Dic44—41no—
733D88—41no—
734#4314—41no—
735#4314—41no—
736#4313—22no—
737#4313—22no—
738#4313—41no—
739#4313—41no—
740C8×D11—22no—
741C8×D11—22no—
742C8×D11—41no—
743C8×D11—41no—
744#3489—111no—
745#3449—111no—
746#3204—111no—
747#3204—111no—
748#3203—111no—
749#3203—111no—
750#3201—111no—
751#3201—111no—
752#3201—111no—
753#3201—111no—
754#3197—111no—
755#3197—111no—
756#3196—111no—
757#3196D1111yescharacteristic, complemented
758#3191—111no—
759#3191—111no—
760#3190—111no—
761#3190—111no—
762#3097—111no—
763#3096—111no—
764#3095—111no—
765#3091—111no—
766#3063—111no—
767#3062—111no—
768#3059—111no—
769#3057—111no—
770#3011—111no—
771#3010—111no—
772#3005—111no—
773C2×#452—111no—
774#2880—111no—
775C23×C11—21no—
776C23×C11—41no—
777C23×C11—41no—
778C23×C11—41no—
779C23×C11C22×D411yescharacteristic
780C23×C11C22×D411yescharacteristic
781C23×C11C22×D411yescharacteristic
782C22×D11—22no—
783C22×D11—21no—
784C22×D11—21no—
785C22×D11—41no—
786C22×D11—41no—
787C22×D11—41no—
788C22×D11—41no—
789C22×D11—41no—
790C22×D11—42no—
791C22×D11—81no—
792C22×D11—81no—
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795C22×D11C22×D411yescharacteristic
796C22×D11C22×D411yescharacteristic
797Q8×C11—21no—
798Q8×C11—21no—
799Q8×C11—21no—
800Q8×C11—21no—
801Q8×C11—21no—
802Q8×C11—21no—
803Q8×C11—42no—
804D4×C11—21no—
805D4×C11—21no—
806D4×C11—42no—
807D4×C11—81no—
808D4×C11—81no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
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—41no—
823C2×C4×C11—41no—
824C2×C4×C11—41no—
825C2×C4×C11—42no—
826C2×C4×C11—42no—
827C2×C4×C11—81no—
828C2×C4×C11C22×D411yescharacteristic
829C2×C4×C11C22×D411yescharacteristic
830C2×C4×C11C22×D411yescharacteristic
831C2×C4×C11C2511yescharacteristic
832C22⋊D11—22no—
833C22⋊D11—22no—
834C22⋊D11—22no—
835C22⋊D11—22no—
836C22⋊D11—41no—
837C22⋊D11—41no—
838C22⋊D11—41no—
839C22⋊D11—41no—
840C22⋊D11—42no—
841C22⋊D11—42no—
842C22⋊D11—42no—
843C22⋊D11—42no—
844C22⋊D11—42no—
845C22⋊D11—81no—
846C22⋊D11—81no—
847C22⋊D11—81no—
848C22⋊D11—81no—
849C22⋊D11—81no—
850C2×Dic11—22no—
851C2×Dic11—21no—
852C2×Dic11—21no—
853C2×Dic11—21no—
854C2×Dic11—21no—
855C2×Dic11—21no—
856C2×Dic11—21no—
857C2×Dic11—41no—
858C2×Dic11—42no—
859C2×Dic11C22×D411yescharacteristic
860C2×Dic11C22×D411yescharacteristic
861C2×Dic11C22×D411yescharacteristic
862C2×Dic11C22×D411yescharacteristic
863D44—22no—
864D44—22no—
865D44—21no—
866D44—21no—
867D44—21no—
868D44—21no—
869D44—41no—
870D44—41no—
871D44—42no—
872D44—42no—
873D44—42no—
874D44—81no—
875D44—81no—
876D44—81no—
877D44—81no—
878C4×D11—22no—
879C4×D11—21no—
880C4×D11—21no—
881C4×D11—21no—
882C4×D11—21no—
883C4×D11—21no—
884C4×D11—21no—
885C4×D11—22no—
886C4×D11—41no—
887C4×D11—41no—
888C4×D11—42no—
889C4×D11—42no—
890C4×D11—42no—
891C4×D11—42no—
892C4×D11—42no—
893C4×D11—42no—
894C4×D11—42no—
895C4×D11—42no—
896C4×D11—81no—
897C4×D11—81no—
898C4×D11—81no—
899C4×D11—81no—
900C4×D11H(5,𝔽2)12yes—
901C4×D11H(5,𝔽2)12yes—
902Dic22—22no—
903Dic22—22no—
904Dic22—21no—
905Dic22—21no—
906Dic22—21no—
907Dic22—21no—
908Dic22—41no—
909Dic22—41no—
910Dic22—42no—
911Dic22—42no—
912Dic22—42no—
913C8×C11—21no—
914C8×C11—21no—
915C8×C11—21no—
916C8×C11—21no—
917C11⋊C8—21no—
918C11⋊C8—21no—
919C11⋊C8—21no—
920C11⋊C8—21no—
921C2×2−1+4—111no—
922C22×#41—111no—
923C22×#41—111no—
924C2×#137—111no—
925C2×AGL(1,ℤ/8)—111no—
926C22×Q16—111no—
927C22×SD16—111no—
928C2×#131—111no—
929C2×#131—111no—
930D4×Q8—221no—
931#548—221no—
932#547—221no—
933#547—221no—
934#547—221no—
935#546—221no—
936#546—221no—
937#546—221no—
938#537—111no—
939#537—111no—
940#537—111no—
941#537—111no—
942#537—111no—
943#537—111no—
944#537—111no—
945#536—111no—
946#536—111no—
947#536—111no—
948#536—111no—
949#536—111no—
950#536—221no—
951#535—111no—
952#535—111no—
953#535—221no—
954#534—221no—
955#534—221no—
956#532—221no—
957#532—221no—
958#525—111no—
959#525—111no—
960#525—111no—
961#525—111no—
962#525—111no—
963#525—111no—
964#525—221no—
965#525—221no—
966#525C2×D1111yescharacteristic
967C2×C22⋊Q8—111no—
968C2×C22⋊Q8—111no—
969C2×C22⋊Q8C2×D1111yescharacteristic, complemented
970#520—111no—
971C2×#117—111no—
972#485—111no—
973#485—111no—
974#485—111no—
975#485—111no—
976#485—111no—
977#485—111no—
978#485—111no—
979#485—111no—
980#485C2×D1111yescharacteristic, complemented
981#485C2×D1111yescharacteristic, complemented
982#484—111no—
983#484—111no—
984#484—111no—
985#484—111no—
986#484C2×D1111yescharacteristic, complemented
987#483—111no—
988#483—111no—
989#483—111no—
990#483—111no—
991#483—111no—
992#482—111no—
993#482—111no—
994#482—111no—
995#482—111no—
996#482—111no—
997#482—111no—
998#481—111no—
999#481—111no—
1000#481C2×D1111yescharacteristic, complemented
1001#480—111no—
1002#480—111no—
1003#480—111no—
1004#470—111no—
1005#470—111no—
1006#470—111no—
1007#470—111no—
1008#470C2×D1111yescharacteristic, complemented
1009#470C2×D1111yescharacteristic, complemented
1010#469—111no—
1011#469—111no—
1012#468—111no—
1013#468—111no—
1014#468—111no—
1015#468—111no—
1016#468—111no—
1017#468—111no—
1018#468C2×D1111yescharacteristic, complemented
1019#468C2×D1111yescharacteristic, complemented
1020#467—111no—
1021#467—111no—
1022#467—111no—
1023#467—111no—
1024#467—111no—
1025#467—111no—
1026#466—111no—
1027#466—111no—
1028#465—111no—
1029#465—111no—
1030#465—111no—
1031#465—111no—
1032#465—111no—
1033#465—111no—
1034#465—111no—
1035#465—111no—
1036#452—111no—
1037#452—111no—
1038#452—111no—
1039#452—111no—
1040#452—111no—
1041#452—111no—
1042#452—111no—
1043#452—111no—
1044#452—111no—
1045#452—111no—
1046#452—111no—
1047#452—111no—
1048#452—111no—
1049#452—111no—
1050#452C2×D1111yescharacteristic
1051#452C2×D1111yescharacteristic
1052#451—111no—
1053#451—111no—
1054#451—111no—
1055#451C2×D1111yescharacteristic, complemented
1056#449—111no—
1057#449—111no—
1058#449—111no—
1059#449—111no—
1060#449—111no—
1061#449—111no—
1062#449—111no—
1063#449—111no—
1064#448—111no—
1065#448—111no—
1066#448—111no—
1067#448C2×D1111yescharacteristic, complemented
1068#428—111no—
1069#428—111no—
1070#427—111no—
1071#427—111no—
1072#419—111no—
1073#419—111no—
1074#419—111no—
1075#418—111no—
1076#416—111no—
1077#416—111no—
1078C2×#103—111no—
1079C2×#102—111no—
1080#408—111no—
1081#408—111no—
1082#408—111no—
1083#408—111no—
1084#408—111no—
1085#408—111no—
1086#407—111no—
1087#407—111no—
1088#407C2×D1111yescharacteristic, complemented
1089C2×C22⋊C8—111no—
1090C2×C22⋊C8—111no—
1091C2×C22⋊C8—111no—
1092C22×C11—21no—
1093C22×C11—21no—
1094C22×C11—21no—
1095C22×C11—21no—
1096C22×C11—21no—
1097C22×C11—21no—
1098C22×C11—21no—
1099C22×C11—21no—
1100C22×C11—21no—
1101C22×C11—41no—
1102C22×C11—41no—
1103C22×C11—41no—
1104C22×C11—82no—
1105C22×C11C23×D411yescharacteristic
1106C2×D11—21no—
1107C2×D11—21no—
1108C2×D11—21no—
1109C2×D11—21no—
1110C2×D11—21no—
1111C2×D11—21no—
1112C2×D11—21no—
1113C2×D11—21no—
1114C2×D11—21no—
1115C2×D11—21no—
1116C2×D11—21no—
1117C2×D11—41no—
1118C2×D11—41no—
1119C2×D11—41no—
1120C2×D11—41no—
1121C2×D11—41no—
1122C2×D11—41no—
1123C2×D11—82no—
1124C2×D11—84no—
1125C2×D11—82no—
1126C2×D11#53412yes—
1127C4×C11—21no—
1128C4×C11—21no—
1129C4×C11—21no—
1130C4×C11—41no—
1131C4×C11—41no—
1132C4×C11—41no—
1133C4×C11—41no—
1134C4×C11—41no—
1135C4×C11—41no—
1136C4×C11—41no—
1137C4×C11C2×H(5,𝔽2)11yescharacteristic
1138C4×C11C2×H(5,𝔽2)11yescharacteristic
1139Dic11—21no—
1140Dic11—21no—
1141Dic11—21no—
1142Dic11—41no—
1143Dic11—41no—
1144Dic11—41no—
1145Dic11—41no—
1146Dic11—41no—
1147Dic11—41no—
1148Dic11#53412yes—
11492−1+4—442no—
11502−1+4—442no—
1151C2×#41—111no—
1152C2×#41—111no—
1153C2×#41—111no—
1154C2×#41—111no—
1155C2×#41—111no—
1156C2×#41—111no—
1157C2×#41—111no—
1158C2×#41—111no—
1159C2×#41—111no—
1160C2×#41—111no—
1161C2×#41—111no—
1162C2×#41—111no—
1163C2×#41—111no—
1164C2×#41—111no—
1165C2×#41—221no—
1166C2×#41—221no—
1167C2×#41—221no—
1168C2×#41—221no—
1169C2×#41—221no—
1170C2×#41—442no—
1171C2×#41—442no—
1172C2×#41—442no—
1173C2×#41—442no—
1174C2×#41C22×D1111yescharacteristic
1175C22×Q8—111no—
1176C22×Q8—111no—
1177C22×Q8—111no—
1178C22×Q8—111no—
1179C22×Q8—221no—
1180C22×Q8C22×D1111yescharacteristic
1181C22×D4—111no—
1182C22×D4—111no—
1183C22×D4—111no—
1184C22×D4—111no—
1185C22×D4—221no—
1186C23×C4—111no—
1187C23×C4—111no—
1188C23×C4—221no—
1189C23×C4C22×D1111yescharacteristic
1190#137—442no—
1191AGL(1,ℤ/8)—442no—
1192C2×Q16—111no—
1193C2×Q16—111no—
1194C2×Q16—111no—
1195C2×Q16—111no—
1196C2×Q16—442no—
1197C2×Q16C22×D1111yescharacteristic
1198C2×Q16C22×D1111yescharacteristic
1199C2×SD16—111no—
1200C2×SD16—111no—
1201C2×SD16—111no—
1202C2×SD16—111no—
1203C2×SD16—111no—
1204C2×SD16—111no—
1205C2×SD16—442no—
1206C2×SD16C22×D1111yescharacteristic
1207C2×SD16C22×D1111yescharacteristic
1208C2×D8—111no—
1209C2×D8—111no—
1210#131—442no—
1211#131—442no—
1212C2×M16—111no—
1213C2×M16—111no—
1214C2×M16—111no—
1215C2×M16—111no—
1216C2×M16C22×D1111yescharacteristic
1217C2×M16C22×D1111yescharacteristic
1218C22×C8—111no—
1219C22×C8—111no—
1220C22×C8—111no—
1221C22×C8—111no—
1222C22×C8—111no—
1223C22×C8—111no—
1224C4⋊Q8—221no—
1225C4⋊Q8—221no—
1226C4⋊Q8—221no—
1227C4⋊Q8—221no—
1228C4⋊Q8—221no—
1229#127—221no—
1230#127—221no—
1231#124—221no—
1232#124—221no—
1233#124—221no—
1234#124—221no—
1235#124—221no—
1236#124—221no—
1237#124—221no—
1238#123—21no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243#123—221no—
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—
1254#123—221no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
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—111no—
1268C22⋊Q8—111no—
1269C22⋊Q8—111no—
1270C22⋊Q8—111no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8—221no—
1277C22⋊Q8—221no—
1278C22⋊Q8—221no—
1279C22⋊Q8—221no—
1280C22⋊Q8—221no—
1281C22⋊Q8—221no—
1282C22⋊Q8C22×D1111yescharacteristic
1283C22⋊Q8C22×D1111yescharacteristic
1284C22⋊Q8C22×D1111yescharacteristic
1285C22⋊Q8C22×D1111yescharacteristic
1286C22⋊Q8C22×D1111yescharacteristic
1287C22⋊Q8C22×D1111yescharacteristic
1288#121—111no—
1289#121—111no—
1290#121—111no—
1291#121—111no—
1292#121—111no—
1293#121—111no—
1294#121—111no—
1295#121—111no—
1296#121—111no—
1297#121—111no—
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#121—221no—
1314#121—221no—
1315#121—221no—
1316#121—221no—
1317#121—221no—
1318#121—221no—
1319#121C22×D1111yescharacteristic
1320#121C22×D1111yescharacteristic
1321#120—21no—
1322#120—221no—
1323#120—221no—
1324#120—221no—
1325#120—221no—
1326#120—221no—
1327#120—221no—
1328#120—221no—
1329#120—221no—
1330#120—221no—
1331#120—221no—
1332C4×Q8—221no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4—221no—
1338C4×D4—221no—
1339C4×D4—221no—
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—
1350#117—111no—
1351#117—111no—
1352#117—111no—
1353#117—111no—
1354#117—111no—
1355#117—111no—
1356#117—221no—
1357#117—221no—
1358#117C22×D1111yescharacteristic
1359C2×C4⋊C4—21no—
1360C2×C4⋊C4—111no—
1361C2×C4⋊C4—111no—
1362C2×C4⋊C4—111no—
1363C2×C4⋊C4—111no—
1364C2×C4⋊C4—221no—
1365C2×C4⋊C4—221no—
1366C2×C4⋊C4C22×D1111yescharacteristic
1367C2×C22⋊C4—21no—
1368C2×C22⋊C4—221no—
1369C2×C22⋊C4—221no—
1370C2×C22⋊C4—221no—
1371C2×C42—221no—
1372#107—111no—
1373#107—111no—
1374#107—111no—
1375#107—111no—
1376#107—111no—
1377#107—111no—
1378#107C22×D1111yescharacteristic
1379#107C22×D1111yescharacteristic
1380#106—111no—
1381#106—111no—
1382#106—111no—
1383#106—111no—
1384#106—111no—
1385#106—111no—
1386#106C22×D1111yescharacteristic
1387#106C22×D1111yescharacteristic
1388#103—111no—
1389#103—111no—
1390#103—111no—
1391#103—111no—
1392#103—111no—
1393#103—111no—
1394#103—111no—
1395#103—111no—
1396#103—111no—
1397#103—111no—
1398#103—111no—
1399#103—111no—
1400#103—111no—
1401#103—111no—
1402#103C22×D1111yescharacteristic
1403#103C22×D1111yescharacteristic
1404#103C22×D1111yescharacteristic
1405#103C22×D1111yescharacteristic
1406#103C22×D1111yescharacteristic
1407#103C22×D1111yescharacteristic
1408#102—111no—
1409#102—111no—
1410#102—111no—
1411#102—111no—
1412#102—111no—
1413#102—111no—
1414#102—111no—
1415#102—111no—
1416#102—111no—
1417#102—111no—
1418#102C22×D1111yescharacteristic
1419#102C22×D1111yescharacteristic
1420C22⋊C8—111no—
1421C22⋊C8—111no—
1422C22⋊C8—111no—
1423C22⋊C8—111no—
1424C22⋊C8—111no—
1425C22⋊C8—111no—
1426C22⋊C8—111no—
1427C22⋊C8—111no—
1428C22⋊C8—111no—
1429C22⋊C8—111no—
1430C22⋊C8—111no—
1431C22⋊C8—111no—
1432C22⋊C8C22×D1111yescharacteristic
1433C22⋊C8C22×D1111yescharacteristic
1434C22⋊C8C22×D1111yescharacteristic
1435C22⋊C8C22×D1111yescharacteristic
1436C2×C11—41no—
1437C2×C11—41no—
1438C2×C11—41no—
1439C2×C11—81no—
1440C2×C11C2×#53411yescharacteristic
1441C2×C11#358411yescharacteristic
1442C2×C11#358611yescharacteristic
1443D11—22no—
1444D11—41no—
1445D11—41no—
1446D11—41no—
1447D11—81no—
1448D11—81no—
1449C24—111no—
1450C24—111no—
1451C24—221no—
1452C24D4×D1111yescharacteristic
1453#41—41no—
1454#41—41no—
1455#41—222no—
1456#41—222no—
1457#41—222no—
1458#41—222no—
1459#41—222no—
1460#41—222no—
1461#41—441no—
1462#41—441no—
1463#41—441no—
1464#41—441no—
1465#41—441no—
1466#41—441no—
1467#41—441no—
1468#41—441no—
1469#41—442no—
1470#41—442no—
1471#41—442no—
1472#41—442no—
1473#41—444no—
1474#41—444no—
1475#41—444no—
1476#41—441no—
1477#41—441no—
1478#41—444no—
1479#41—441no—
1480#41—441no—
1481#41—441no—
1482#41—441no—
1483#41—444no—
1484C2×Q8—21no—
1485C2×Q8—41no—
1486C2×Q8—41no—
1487C2×Q8—111no—
1488C2×Q8—111no—
1489C2×Q8—111no—
1490C2×Q8—111no—
1491C2×Q8—111no—
1492C2×Q8—111no—
1493C2×Q8—221no—
1494C2×Q8—221no—
1495C2×Q8—221no—
1496C2×Q8—222no—
1497C2×Q8—222no—
1498C2×Q8—222no—
1499C2×Q8—222no—
1500C2×Q8—442no—
1501C2×Q8—441no—
1502C2×Q8—441no—
1503C2×Q8—444no—
1504C2×Q8C23×D1111yescharacteristic
1505C2×Q8C23×D1111yescharacteristic
1506C2×Q8C23×D1111yescharacteristic
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—111no—
1511C2×D4—111no—
1512C2×D4—111no—
1513C2×D4—111no—
1514C2×D4—111no—
1515C2×D4—111no—
1516C2×D4—111no—
1517C2×D4—111no—
1518C2×D4—111no—
1519C2×D4—111no—
1520C2×D4—111no—
1521C2×D4—111no—
1522C2×D4—111no—
1523C2×D4—111no—
1524C2×D4—221no—
1525C2×D4—221no—
1526C2×D4—221no—
1527C2×D4—221no—
1528C2×D4—221no—
1529C2×D4—221no—
1530C2×D4—221no—
1531C2×D4—222no—
1532C2×D4—222no—
1533C2×D4—221no—
1534C2×D4—221no—
1535C2×D4—221no—
1536C2×D4—221no—
1537C2×D4—221no—
1538C2×D4—221no—
1539C2×D4—221no—
1540C2×D4—221no—
1541C2×D4—221no—
1542C2×D4—221no—
1543C2×D4—442no—
1544C2×D4—442no—
1545C2×D4—444no—
1546C2×D4—442no—
1547C2×D4C23×D1111yescharacteristic
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—41no—
1552C22×C4—41no—
1553C22×C4—111no—
1554C22×C4—111no—
1555C22×C4—111no—
1556C22×C4—111no—
1557C22×C4—111no—
1558C22×C4—111no—
1559C22×C4—111no—
1560C22×C4—111no—
1561C22×C4—111no—
1562C22×C4—111no—
1563C22×C4—222no—
1564C22×C4—222no—
1565C22×C4—221no—
1566C22×C4—221no—
1567C22×C4—221no—
1568C22×C4—221no—
1569C22×C4—221no—
1570C22×C4—221no—
1571C22×C4—221no—
1572C22×C4—221no—
1573C22×C4—221no—
1574C22×C4—221no—
1575C22×C4—221no—
1576C22×C4—221no—
1577C22×C4—221no—
1578C22×C4—441no—
1579C22×C4—441no—
1580C22×C4—444no—
1581C22×C4D4×D1111yescharacteristic
1582C22×C4D4×D1111yescharacteristic
1583C22×C4D4×D1111yescharacteristic
1584C22×C4C23×D1111yescharacteristic
1585C22×C4C23×D1111yescharacteristic
1586C22×C4C23×D1111yescharacteristic
1587Q16—41no—
1588Q16—41no—
1589Q16—441no—
1590Q16—441no—
1591Q16—441no—
1592Q16—441no—
1593SD16—41no—
1594SD16—41no—
1595SD16—441no—
1596SD16—441no—
1597SD16—441no—
1598SD16—441no—
1599SD16—441no—
1600SD16—441no—
1601D8—441no—
1602D8—441no—
1603M16—41no—
1604M16—41no—
1605M16—222no—
1606M16—222no—
1607M16—441no—
1608M16—441no—
1609C2×C8—111no—
1610C2×C8—111no—
1611C2×C8—111no—
1612C2×C8—111no—
1613C2×C8—222no—
1614C2×C8—222no—
1615C2×C8—441no—
1616C2×C8—441no—
1617C2×C8—441no—
1618C2×C8—441no—
1619C2×C8C23×D1111yescharacteristic
1620C2×C8C23×D1111yescharacteristic
1621C2×C8C23×D1111yescharacteristic
1622C2×C8C23×D1111yescharacteristic
1623C4⋊C4—21no—
1624C4⋊C4—21no—
1625C4⋊C4—21no—
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—111no—
1631C4⋊C4—111no—
1632C4⋊C4—111no—
1633C4⋊C4—111no—
1634C4⋊C4—221no—
1635C4⋊C4—221no—
1636C4⋊C4—221no—
1637C4⋊C4—221no—
1638C4⋊C4—221no—
1639C4⋊C4—221no—
1640C4⋊C4—221no—
1641C4⋊C4—221no—
1642C4⋊C4—221no—
1643C4⋊C4—221no—
1644C4⋊C4—221no—
1645C4⋊C4—221no—
1646C4⋊C4—221no—
1647C4⋊C4—221no—
1648C4⋊C4—221no—
1649C4⋊C4—221no—
1650C4⋊C4—221no—
1651C4⋊C4—221no—
1652C4⋊C4C23×D1111yescharacteristic
1653C4⋊C4C23×D1111yescharacteristic
1654C4⋊C4C23×D1111yescharacteristic
1655C4⋊C4C23×D1111yescharacteristic
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
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⋊C4—221no—
1678C22⋊C4—221no—
1679C22⋊C4—221no—
1680C22⋊C4—221no—
1681C22⋊C4—221no—
1682C22⋊C4—221no—
1683C22⋊C4—221no—
1684C22⋊C4—221no—
1685C22⋊C4—221no—
1686C22⋊C4—221no—
1687C22⋊C4—221no—
1688C22⋊C4—221no—
1689C22⋊C4—221no—
1690C22⋊C4—221no—
1691C22⋊C4—221no—
1692C22⋊C4—221no—
1693C22⋊C4—221no—
1694C22⋊C4—221no—
1695C42—21no—
1696C42—221no—
1697C42—221no—
1698C42—221no—
1699C42—221no—
1700C42—221no—
1701C42—221no—
1702C11#6076111yescharacteristic, complemented, Sylow
1703C23—21no—
1704C23—41no—
1705C23—41no—
1706C23—41no—
1707C23—111no—
1708C23—111no—
1709C23—111no—
1710C23—111no—
1711C23—222no—
1712C23—221no—
1713C23—221no—
1714C23—441no—
1715C23—441no—
1716C23—441no—
1717C23—441no—
1718C23—441no—
1719C23—442no—
1720C23—881no—
1721C23—881no—
1722C23C2×D4×D1111yescharacteristic
1723C23C2×D4×D1111yescharacteristic
1724C23C2×D4×D1111yescharacteristic
1725Q8—21no—
1726Q8—21no—
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—42no—
1732Q8—222no—
1733Q8—222no—
1734Q8—221no—
1735Q8—221no—
1736Q8—221no—
1737Q8—221no—
1738Q8—441no—
1739Q8—441no—
1740Q8—442no—
1741Q8—442no—
1742Q8—442no—
1743D4—21no—
1744D4—21no—
1745D4—42no—
1746D4—81no—
1747D4—81no—
1748D4—222no—
1749D4—222no—
1750D4—222no—
1751D4—222no—
1752D4—222no—
1753D4—222no—
1754D4—221no—
1755D4—221no—
1756D4—221no—
1757D4—221no—
1758D4—441no—
1759D4—441no—
1760D4—442no—
1761D4—442no—
1762D4—442no—
1763D4—442no—
1764D4—441no—
1765D4—441no—
1766D4—441no—
1767D4—441no—
1768D4—442no—
1769D4—442no—
1770D4—442no—
1771D4—442no—
1772D4—881no—
1773D4—881no—
1774D4—881no—
1775D4—881no—
1776D4—881no—
1777D4—881no—
1778D4—881no—
1779D4—881no—
1780D4—881no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—41no—
1795C2×C4—41no—
1796C2×C4—41no—
1797C2×C4—42no—
1798C2×C4—42no—
1799C2×C4—81no—
1800C2×C4—111no—
1801C2×C4—112no—
1802C2×C4—112no—
1803C2×C4—111no—
1804C2×C4—111no—
1805C2×C4—111no—
1806C2×C4—222no—
1807C2×C4—222no—
1808C2×C4—222no—
1809C2×C4—221no—
1810C2×C4—221no—
1811C2×C4—221no—
1812C2×C4—221no—
1813C2×C4—221no—
1814C2×C4—221no—
1815C2×C4—221no—
1816C2×C4—221no—
1817C2×C4—221no—
1818C2×C4—221no—
1819C2×C4—221no—
1820C2×C4—221no—
1821C2×C4—441no—
1822C2×C4—441no—
1823C2×C4—442no—
1824C2×C4—442no—
1825C2×C4—442no—
1826C2×C4—442no—
1827C2×C4—442no—
1828C2×C4—442no—
1829C2×C4—442no—
1830C2×C4—442no—
1831C2×C4—441no—
1832C2×C4—442no—
1833C2×C4—881no—
1834C2×C4—881no—
1835C2×C4—881no—
1836C2×C4—881no—
1837C2×C4C2×D4×D1111yescharacteristic
1838C2×C4C2×D4×D1111yescharacteristic
1839C2×C4C2×D4×D1111yescharacteristic
1840C2×C4C24×D1111yescharacteristic
1841C8—21no—
1842C8—21no—
1843C8—21no—
1844C8—21no—
1845C8—221no—
1846C8—221no—
1847C8—221no—
1848C8—221no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—82no—
1862C22—112no—
1863C22—221no—
1864C22—221no—
1865C22—221no—
1866C22—221no—
1867C22—221no—
1868C22—221no—
1869C22—221no—
1870C22—221no—
1871C22—221no—
1872C22—221no—
1873C22—221no—
1874C22—441no—
1875C22—441no—
1876C22—441no—
1877C22—441no—
1878C22—441no—
1879C22—441no—
1880C22—882no—
1881C22—882no—
1882C22—884no—
1883C22C22×D4×D1111yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—112no—
1895C4—221no—
1896C4—221no—
1897C4—221no—
1898C4—441no—
1899C4—441no—
1900C4—441no—
1901C4—441no—
1902C4—441no—
1903C4—441no—
1904C4D11×H(5,𝔽2)11yescharacteristic
1905C4D11×H(5,𝔽2)11yescharacteristic
1906C2—41no—
1907C2—41no—
1908C2—41no—
1909C2—81no—
1910C2—222no—
1911C2—441no—
1912C2—441no—
1913C2—441no—
1914C2—881no—
1915C2—881no—
1916C2D11×#53411yescharacteristic
1917C2#1308338911yescharacteristic
1918C2#1308339911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3196C2
socleC22×C11C23×D4
hypercenter#3196D11
hypocenterC11#60761
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3196

Complements

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

NH ≅ G/Ntype
1. #13082292C2semidirect
2. #13081946C2semidirect
3. #13079529C2semidirect
4. #13079523C2semidirect
5. #13079520C2semidirect
6. #13079514C2semidirect
7. #13079502C2semidirect
8. #13079499C2semidirect
9. #13079494C2semidirect
10. #13079493C2semidirect
11. #13079458C2semidirect
12. #13079457C2semidirect
13. #13079450C2semidirect
14. #13079411C2semidirect
15. #13079404C2semidirect
16. #13079397C2semidirect
17. #13079395C2semidirect
18. #13078584C2semidirect
19. #13078573C2semidirect
20. #13078563C2semidirect
21. #13078534C2semidirect
22. #13078304C2semidirect
23. #13078291C2semidirect
24. #13078269C2semidirect
25. #13078253C2semidirect
26. #13077906C2semidirect
27. #13077897C2semidirect
28. #13077859C2semidirect
29. D11×#452C2semidirect
30. #13077066C2semidirect
31. C11×#3196C2semidirect
36. C2×C11×C22⋊Q8C22semidirect
38. #10623347C22semidirect
40. #10623322C22semidirect
41. C2×#66971C22semidirect
42. C2×Q16×D11C22semidirect
43. C2×#66967C22semidirect
44. C2×SD16×D11C22semidirect
56. #10623160C22semidirect
60. #10623159C22semidirect
62. #10623158C22semidirect
64. D11×C22⋊Q8C22semidirect
77. #10623041C22semidirect
83. C11×#485C22semidirect
84. C11×#485C22semidirect
85. C11×#484C22semidirect
86. C11×#481C22semidirect
87. C11×#470C22semidirect
88. C11×#470C22semidirect
89. C11×#468C22semidirect
90. C11×#468C22semidirect
93. C11×#451C22semidirect
94. C11×#448C22semidirect
95. C11×#407C22semidirect
98. #10622841C22semidirect
99. #10622840C22semidirect
100. C2×C22⋊(C11⋊C8)C22semidirect
101. #10622802C22semidirect
102. #10622801C22semidirect
103. #10622800C22semidirect
104. #10622800C22semidirect
105. #10622800C22semidirect
106. #10622799C22semidirect
107. #10622787C22semidirect
108. #10622786C22semidirect
109. #10622786C22semidirect
110. #10622785C22semidirect
111. #10622784C22semidirect
112. #10622783C22semidirect
113. #10622750C22semidirect
114. #10622748C22semidirect
115. #10622747C22semidirect
116. #10622747C22semidirect
117. #10622742C22semidirect
118. #10622742C22semidirect
119. #10622664C22semidirect
120. #10622664C22semidirect
121. #10622664C22semidirect
122. #10622661C22semidirect
123. #10622661C22semidirect
124. #10622661C22semidirect
127. #10622660C22semidirect
128. #10622658C22semidirect
129. #10622658C22semidirect
130. #10622658C22semidirect
131. #10622654C22semidirect
132. #10622651C22semidirect
133. #10622650C22semidirect
134. #10622648C22semidirect
135. #10622616C22semidirect
136. #10622609C22semidirect
137. #10622584C22semidirect
138. #10622580C22semidirect
139. #10622501C22semidirect
140. #10622499C22semidirect
141. #10622497C22semidirect
142. #10622497C22semidirect
143. #10622496C22semidirect
144. #10622495C22semidirect
145. #10622494C22semidirect
146. #10622493C22semidirect
147. #10622481C22semidirect
148. #10622479C22semidirect
149. #10622477C22semidirect
150. #10622476C22semidirect
151. #10622476C22semidirect
152. #10622475C22semidirect
153. #10622474C22semidirect
154. #10622473C22semidirect
155. #10622429C22semidirect
156. #10622427C22semidirect
157. #10622426C22semidirect
158. #10622426C22semidirect
159. #10622425C22semidirect
160. #10622425C22semidirect
161. #10622424C22semidirect
162. #10622424C22semidirect
163. #10622423C22semidirect
164. #10622423C22semidirect
165. #10622422C22semidirect
166. #10622422C22semidirect
167. #10622421C22semidirect
168. #10622420C22semidirect
169. #10622419C22semidirect
170. #10622418C22semidirect
171. #10622418C22semidirect
172. #10622418C22semidirect
173. #10622417C22semidirect
174. #10622417C22semidirect
175. #10622415C22semidirect
176. #10622415C22semidirect
177. #10622415C22semidirect
178. D11×#103C22semidirect
179. #10622396C22semidirect
180. #10622395C22semidirect
181. #10622394C22semidirect
182. #10622392C22semidirect
183. #10622391C22semidirect
184. #10622387C22semidirect
185. #10622383C22semidirect
186. D11×#102C22semidirect
187. #10622350C22semidirect
188. #10622350C22semidirect
190. #10622347C22semidirect
192. #10622346C22semidirect
195. #10622340C22semidirect
196. #10622340C22semidirect
198. #10622339C22semidirect
200. D11×C22⋊C8C22semidirect
201. #10622336C22semidirect
202. #10622336C22semidirect
757. #3196D11semidirect
969. C2×C22⋊Q8C2×D11semidirect
980. #485C2×D11semidirect
981. #485C2×D11semidirect
986. #484C2×D11semidirect
1000. #481C2×D11semidirect
1008. #470C2×D11semidirect
1009. #470C2×D11semidirect
1018. #468C2×D11semidirect
1019. #468C2×D11semidirect
1055. #451C2×D11semidirect
1067. #448C2×D11semidirect
1088. #407C2×D11semidirect
1702. C11#60761semidirect

Maximal subgroups

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

subgroupindex
#130822922
#130819462
#130795292
#130795232
#130795202
#130795142
#130795022
#130794992
#130794942
#130794932
#130794582
#130794572
#130794502
#130794112
#130794042
#130793972
#130793952
#130785842
#130785732
#130785632
#130785342
#130783042
#130782912
#130782692
#130782532
#130779062
#130778972
#130778592
D11×#4522
#130770662
C11×#31962
#6076111