Finite Group Databasebeta

← #15640568

Subgroups — #15640568

Order 2816.

2064 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083042C211yesmaximal, characteristic, complemented
2#13082407C211yesmaximal, characteristic, complemented
3#13080885C211yesmaximal, characteristic, complemented
4#13080881C211yesmaximal, characteristic, complemented
5#13080865C211yesmaximal, characteristic, complemented
6#13080469C211yesmaximal, characteristic, complemented
7#13080460C211yesmaximal, characteristic, complemented
8#13080450C211yesmaximal, characteristic, complemented
9#13080449C211yesmaximal, characteristic, complemented
10#13080353C211yesmaximal, characteristic, complemented
11#13080350C211yesmaximal, characteristic, complemented
12#13080326C211yesmaximal, characteristic, complemented
13#13080325C211yesmaximal, characteristic, complemented
14#13080254C211yesmaximal, characteristic, complemented
15#13080252C211yesmaximal, characteristic, complemented
16#13080224C211yesmaximal, characteristic, complemented
17#13080222C211yesmaximal, characteristic, complemented
18#13079582C211yesmaximal, characteristic, complemented
19#13079579C211yesmaximal, characteristic, complemented
20#13079505C211yesmaximal, characteristic, complemented
21#13079493C211yesmaximal, characteristic, complemented
22#13079490C211yesmaximal, characteristic, complemented
23#13079478C211yesmaximal, characteristic, complemented
24#13078641C211yesmaximal, characteristic, complemented
25#13078632C211yesmaximal, characteristic, complemented
26#13077922C211yesmaximal, characteristic, complemented
27#13077918C211yesmaximal, characteristic, complemented
28#13077912C211yesmaximal, characteristic, complemented
29#13077897C211yesmaximal, characteristic, complemented
30#13077681C211yesmaximal, characteristic, complemented
31C11×#3326C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic, complemented
33C2×#67040C2211yescharacteristic
34C11×#553C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic, complemented
36#10623362C2211yescharacteristic
37C2×#67003C2211yescharacteristic
38#10623348C2211yescharacteristic, complemented
39C22×#4326C2211yescharacteristic, complemented
40C2×#66969C2211yescharacteristic
41C2×#66967C2211yescharacteristic, complemented
42C2×SD16×D11C2211yescharacteristic, complemented
43C2×#66964C2211yescharacteristic
44C2×#66962C2211yescharacteristic, complemented
45C2×#66961C2211yescharacteristic
46#10623243—21no—
47#10623235—21no—
48#10623225C2211yescharacteristic, complemented
49#10623222C2211yescharacteristic, complemented
50#10623207—21no—
51#10623207C2211yescharacteristic
52D11×#124—21no—
53D11×#124C2211yescharacteristic, complemented
54#10623194—21no—
55#10623189—21no—
56#10623161—21no—
57#10623161C2211yescharacteristic
58#10623159—21no—
59#10623159C2211yescharacteristic, complemented
60#10623151—21no—
61#10623150—21no—
62#10623143—21no—
63#10623143C2211yescharacteristic, complemented
64#10623143C2211yescharacteristic, complemented
65#10623139C2211yescharacteristic
66#10623138—21no—
67#10623138C2211yescharacteristic
68#10623138C2211yescharacteristic, complemented
69#10623129C2211yescharacteristic, complemented
70#10623107C2211yescharacteristic
71C4×#4343C2211yescharacteristic, complemented
72#10623094—21no—
73#10623091—21no—
74#10623088C2211yescharacteristic, complemented
75#10623085C2211yescharacteristic, complemented
76#10623083C2211yescharacteristic, complemented
77#10623081—21no—
78#10623081C2211yescharacteristic, complemented
79#10623079—21no—
80#10623079C2211yescharacteristic
81#10623061C2211yescharacteristic, complemented
82#10623057C2211yescharacteristic, complemented
83#10623044C2211yescharacteristic, complemented
84#10623041C2211yescharacteristic
85C11×#488C2211yescharacteristic, complemented
86C11×#483C2211yescharacteristic, complemented
87C11×#482C2211yescharacteristic, complemented
88C11×#479C2211yescharacteristic, complemented
89C11×#469C2211yescharacteristic, complemented
90C11×#468C2211yescharacteristic, complemented
91C11×#463C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic
93C11×#448C2211yescharacteristic, complemented
94C4×C11×SD16C2211yescharacteristic, complemented
95C11×#436C2211yescharacteristic, complemented
96C11×#419C2211yescharacteristic, complemented
97C11×#417C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622840C2211yescharacteristic, complemented
100#10622786C2211yescharacteristic, complemented
101#10622785C2211yescharacteristic
102#10622783C2211yescharacteristic, complemented
103#10622781C2211yescharacteristic, complemented
104#10622779C2211yescharacteristic, complemented
105#10622769C2211yescharacteristic
106#10622769C2211yescharacteristic, complemented
107#10622768C2211yescharacteristic, complemented
108#10622750C2211yescharacteristic, complemented
109#10622748C2211yescharacteristic, complemented
110#10622742C2211yescharacteristic, complemented
111#10622742C2211yescharacteristic, complemented
112#10622741C2211yescharacteristic, complemented
113#10622741C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic, complemented
115#10622679C2211yescharacteristic, complemented
116#10622672C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622664C2211yescharacteristic, complemented
119#10622660C2211yescharacteristic, complemented
120#10622654C2211yescharacteristic, complemented
121#10622653C2211yescharacteristic, complemented
122#10622651C2211yescharacteristic, complemented
123#10622651C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic, complemented
125#10622649C2211yescharacteristic
126C4×#4326C2211yescharacteristic, complemented
127#10622641C2211yescharacteristic, complemented
128#10622629C2211yescharacteristic, complemented
129C4×#4323C2211yescharacteristic, complemented
130D4×C11⋊C8C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622615C2211yescharacteristic, complemented
133#10622583C2211yescharacteristic, complemented
134C2×#66873C2211yescharacteristic, complemented
135#10622501C2211yescharacteristic, complemented
136#10622499C2211yescharacteristic, complemented
137#10622497C2211yescharacteristic, complemented
138#10622485C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622481C2211yescharacteristic, complemented
141#10622480C2211yescharacteristic, complemented
142#10622479C2211yescharacteristic, complemented
143#10622479C2211yescharacteristic, complemented
144#10622477C2211yescharacteristic, complemented
145#10622477C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622451C2211yescharacteristic, complemented
150#10622446C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622426C2211yescharacteristic, complemented
153#10622425C2211yescharacteristic, complemented
154#10622424C2211yescharacteristic
155#10622424C2211yescharacteristic
156#10622423C2211yescharacteristic, complemented
157#10622423C2211yescharacteristic, complemented
158#10622423C2211yescharacteristic, complemented
159#10622423C2211yescharacteristic, complemented
160#10622423C2211yescharacteristic, complemented
161#10622421C2211yescharacteristic, complemented
162#10622421C2211yescharacteristic, complemented
163#10622421C2211yescharacteristic, complemented
164#10622421C2211yescharacteristic, complemented
165#10622419C2211yescharacteristic, complemented
166#10622418C2211yescharacteristic, complemented
167#10622417C2211yescharacteristic, complemented
168#10622416C2211yescharacteristic, complemented
169#10622415C2211yescharacteristic, complemented
170#10622413C2211yescharacteristic, complemented
171#10622412C2211yescharacteristic, complemented
172#10622411C2211yescharacteristic, complemented
173#10622403C2211yescharacteristic, complemented
174#10622401C2211yescharacteristic, complemented
175#10622400C2211yescharacteristic, complemented
176#10622400C2211yescharacteristic, complemented
177#10622396C2211yescharacteristic, complemented
178#10622393C2211yescharacteristic, complemented
179#10622392C2211yescharacteristic, complemented
180#10622392C2211yescharacteristic, complemented
181#10622391C2211yescharacteristic, complemented
182#10622389C2211yescharacteristic, complemented
183#10622389C2211yescharacteristic, complemented
184#10622389C2211yescharacteristic, complemented
185#10622386C2211yescharacteristic
186#10622386C2211yescharacteristic
187#10622386C2211yescharacteristic, complemented
188D11×#102C2211yescharacteristic, complemented
189#10622381C2211yescharacteristic, complemented
190#10622380C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622344C2211yescharacteristic, complemented
195#10622340C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197(C22⋊D11)⋊C8C2211yescharacteristic, complemented
198(C22⋊D11)⋊C8C2211yescharacteristic, complemented
199#10622309C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201C8×D44C2211yescharacteristic, complemented
202#10622298C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#67042—42no—
206#67042—42no—
207#67040—42no—
208#67040—42no—
209C2×#4343—21no—
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×Q8×D11—21no—
214C2×Q8×D11C2311yescharacteristic
215C2×Q8×D11C2311yescharacteristic
216C2×#4341C2311yescharacteristic
217C2×D4×D11—21no—
218C2×D4×D11—21no—
219C2×D4×D11C2311yescharacteristic
220C2×D4×D11C2311yescharacteristic
221C2×D4×D11C2311yescharacteristic
222C2×#4339—21no—
223C2×#4339—21no—
224C2×#4339—21no—
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C22×D44—21no—
230C22×D44C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C2×C11×SD16C2311yescharacteristic
233C2×C11×SD16C2311yescharacteristic
234C2×C11×D8C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C2×C11×M16C2311yescharacteristic
237C11×#126—21no—
238C11×#125C2311yescharacteristic
239C11×#124—21no—
240C11×#124C2311yescharacteristic
241C11×#123—21no—
242C11×C22⋊Q8—21no—
243C11×C22⋊Q8C2311yescharacteristic
244C11×#121—21no—
245C11×#121—21no—
246C11×#121C2311yescharacteristic
247C11×#121C2311yescharacteristic
248C11×#121C2311yescharacteristic
249C4×Q8×C11C2311yescharacteristic
250C4×D4×C11—21no—
251C4×D4×C11—21no—
252C4×D4×C11C2311yescharacteristic
253C4×D4×C11C2311yescharacteristic
254C11×#117C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256#67003—42no—
257#67000—21no—
258#67000C2311yescharacteristic
259#66999—21no—
260#66999C2311yescharacteristic
261Q8×Dic11C2311yescharacteristic
262C2×#4326—42no—
263C2×#4326C2311yescharacteristic
264C2×#4326C2311yescharacteristic
265C2×#4326C2311yescharacteristic
266C2×#4326C2311yescharacteristic
267C2×#4325C2311yescharacteristic
268C2×#4325C2311yescharacteristic
269#66993—21no—
270#66993—21no—
271#66993D411yescharacteristic
272#66992—21no—
273#66992—21no—
274#66992—21no—
275#66991—21no—
276#66991—21no—
277#66991—21no—
278#66991—21no—
279#66991D411yescharacteristic
280#66991C2311yescharacteristic
281#66991C2311yescharacteristic
282#66990—21no—
283#66990—21no—
284#66990—21no—
285#66990—21no—
286#66990—21no—
287#66989—21no—
288#66989C2311yescharacteristic
289#66989C2311yescharacteristic
290D4×Dic11—21no—
291C2×#4324C2311yescharacteristic
292C2×#4324C2311yescharacteristic
293C2×#4324C2311yescharacteristic
294C2×#4323C2311yescharacteristic
295C2×#4323C2311yescharacteristic
296C2×#4323C2311yescharacteristic
297#66983—21no—
298#66983—21no—
299#66983—21no—
300#66983—21no—
301#66983C2311yescharacteristic
302#66983C2311yescharacteristic
303#66982—21no—
304C4×C22⋊D11—21no—
305C4×C22⋊D11—21no—
306C4×C22⋊D11—21no—
307C4×C22⋊D11C2311yescharacteristic
308C4×C22⋊D11C2311yescharacteristic
309C2×(C2×D11)⋊C4—21no—
310#66979—21no—
311#66979—21no—
312#66977—21no—
313#66977C2311yescharacteristic
314#66977C2311yescharacteristic
315C22×C11⋊C8C2311yescharacteristic
316C22×C11⋊C8C2311yescharacteristic
317#66969—42no—
318#66967—42no—
319SD16×D11—42no—
320#66964—42no—
321#66962—42no—
322#66961—42no—
323C2×Dic44C2311yescharacteristic
324C2×Dic44C2311yescharacteristic
325C2×D88C2311yescharacteristic
326C2×D88C2311yescharacteristic
327C2×#4314C2311yescharacteristic
328C2×#4314C2311yescharacteristic
329C2×#4314C2311yescharacteristic
330C2×#4314C2311yescharacteristic
331C2×#4314C2311yescharacteristic
332C2×#4313C2311yescharacteristic
333C2×#4313C2311yescharacteristic
334C2×C8×D11C2311yescharacteristic
335C2×C8×D11C2311yescharacteristic
336#66951—21no—
337#66951—21no—
338#66951—21no—
339#66950—21no—
340#66950—21no—
341#66950C2311yescharacteristic
342#66950C2311yescharacteristic
343#66950C2311yescharacteristic
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66949—21no—
348#66948—21no—
349#66948—21no—
350#66948—21no—
351#66948D411yescharacteristic
352#66948C2311yescharacteristic
353#66948C2311yescharacteristic
354#66948C2311yescharacteristic
355#66947—21no—
356#66947—21no—
357#66947—21no—
358#66947—21no—
359#66947—21no—
360#66946—21no—
361#66946—21no—
362#66946C2311yescharacteristic
363#66946C2311yescharacteristic
364#66945—21no—
365#66945—21no—
366#66945—21no—
367#66945C2311yescharacteristic
368#66945C2311yescharacteristic
369C4⋊C4×D11C2311yescharacteristic
370#66943—21no—
371#66943C2311yescharacteristic
372#66942—21no—
373#66941—21no—
374#66941D411yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66939—21no—
378#66939—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938—21no—
383#66938—21no—
384#66938—21no—
385#66938—21no—
386#66938D411yescharacteristic
387#66938D411yescharacteristic
388#66937—21no—
389#66937—21no—
390#66937—21no—
391#66937—21no—
392#66937D411yescharacteristic
393#66937D411yescharacteristic
394#66936—21no—
395#66936—21no—
396#66936—21no—
397#66936—21no—
398#66936—21no—
399#66936—21no—
400#66935—21no—
401#66935—21no—
402#66935—21no—
403#66935—21no—
404#66935—21no—
405(C22⋊D11)⋊C4—21no—
406C22⋊C4×D11—21no—
407C22⋊C4×D11—21no—
408C22⋊C4×D11—21no—
409C22⋊C4×D11—21no—
410C22⋊C4×D11—21no—
411C22⋊C4×D11—21no—
412C22⋊C4×D11—21no—
413#66932—21no—
414#66931—21no—
415#66931—21no—
416#66929—21no—
417#66928—21no—
418#66928—21no—
419#66928C2311yescharacteristic
420#66928C2311yescharacteristic
421C4×D44—21no—
422C4×D44—21no—
423C4×D44—21no—
424C4×D44C2311yescharacteristic
425C4×D44C2311yescharacteristic
426C42×D11—21no—
427C42×D11C2311yescharacteristic
428#66922—21no—
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#106C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#102C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C4×C8×C11C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464#66881C2311yescharacteristic
465#66880C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470C8×Dic11C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66871C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61666—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C11×#41—22no—
496C11×#41—41no—
497C2×Q8×C11—21no—
498C2×Q8×C11—22no—
499C2×Q8×C11—41no—
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11C2×D411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11C2411yescharacteristic
514C22×C4×C11C2411yescharacteristic
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11C2×D411yescharacteristic
526C2×C22⋊D11C2×D411yescharacteristic
527C2×C22⋊D11C2×D411yescharacteristic
528C2×C22⋊D11C2×D411yescharacteristic
529C2×C22⋊D11C2×D411yescharacteristic
530C2×C22⋊D11C2×D411yescharacteristic
531C22×Dic11—21no—
532C22×Dic11—21no—
533#4343—22no—
534#4343—22no—
535#4343—22no—
536#4343—22no—
537#4343—41no—
538#4343—41no—
539#4343—44no—
540Q8×D11—22no—
541Q8×D11—41no—
542Q8×D11—41no—
543Q8×D11—41no—
544Q8×D11—44no—
545#4341—41no—
546#4341—41no—
547D4×D11—22no—
548D4×D11—41no—
549D4×D11—41no—
550D4×D11—41no—
551D4×D11—41no—
552D4×D11—41no—
553D4×D11—44no—
554D4×D11—44no—
555#4339—22no—
556#4339—41no—
557#4339—41no—
558#4339—41no—
559#4339—41no—
560#4339—41no—
561#4339—41no—
562#4339—41no—
563#4339—44no—
564#4339—44no—
565#4339—44no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44—22no—
573C2×D44—21no—
574C2×D44—41no—
575C2×D44—44no—
576C2×D44C2×D411yescharacteristic
577C2×D44C2×D411yescharacteristic
578C2×D44C2×D411yescharacteristic
579C2×D44C2411yescharacteristic
580C2×D44C2411yescharacteristic
581C2×D44C2411yescharacteristic
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2411yescharacteristic
596C2×C4×D11C2411yescharacteristic
597C2×C4×D11C2411yescharacteristic
598C2×Dic22—21no—
599C2×Dic22—21no—
600C2×Dic22—21no—
601C2×Dic22—41no—
602C2×Dic22—41no—
603C2×Dic22C2×D411yescharacteristic
604C2×Dic22C2×D411yescharacteristic
605C2×Dic22C2411yescharacteristic
606C2×Dic22C2411yescharacteristic
607C2×Dic22C2411yescharacteristic
608C11×SD16—22no—
609C11×SD16—41no—
610C11×D8—41no—
611C11×M16—41no—
612C11×M16—41no—
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C2×C8×C11C2411yescharacteristic
616C2×C8×C11C2411yescharacteristic
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4C2×D411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
625C11×C4⋊C4C2411yescharacteristic
626C11×C4⋊C4C2411yescharacteristic
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4C2×D411yescharacteristic
636C11×C22⋊C4C2×D411yescharacteristic
637C42×C11—21no—
638C42×C11—21no—
639C42×C11C2411yescharacteristic
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11C2×D411yescharacteristic
649C22⋊Dic11C2×D411yescharacteristic
650#4326—22no—
651#4326—22no—
652#4326—41no—
653#4326—41no—
654#4325—22no—
655#4325—41no—
656#4324—41no—
657#4324—41no—
658#4324—41no—
659#4323—22no—
660#4323—41no—
661#4323—41no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4C2×D411yescharacteristic
686(C2×D11)⋊C4C2×D411yescharacteristic
687(C2×D11)⋊C4C2×D411yescharacteristic
688(C2×D11)⋊C4C2×D411yescharacteristic
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11C2×D411yescharacteristic
698C4⋊Dic11C2411yescharacteristic
699C4⋊Dic11C2411yescharacteristic
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4C2×D411yescharacteristic
708Dic11⋊C4C2×D411yescharacteristic
709C4×Dic11—21no—
710C4×Dic11—21no—
711C4×Dic11—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11C2×D411yescharacteristic
715C4×Dic11C2×D411yescharacteristic
716C4×Dic11C2411yescharacteristic
717C2×C11⋊C8—41no—
718C2×C11⋊C8—41no—
719C2×C11⋊C8C2411yescharacteristic
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723Dic44—41no—
724Dic44—41no—
725D88—22no—
726D88—41no—
727#4314—22no—
728#4314—22no—
729#4314—41no—
730#4314—41no—
731#4314—41no—
732#4313—41no—
733#4313—41no—
734C8×D11—41no—
735C8×D11—41no—
736#3551—111no—
737#3500—111no—
738#3327—111no—
739#3327—111no—
740#3326—111no—
741#3326D1111yescharacteristic, complemented
742#3297—111no—
743#3297—111no—
744#3296—111no—
745#3296—111no—
746#3285—111no—
747#3285—111no—
748#3282—111no—
749#3282—111no—
750#3275—111no—
751#3275—111no—
752#3273—111no—
753#3273—111no—
754#3211—111no—
755#3211—111no—
756#3201—111no—
757#3201—111no—
758#3200—111no—
759#3199—111no—
760#3102—111no—
761#3102—111no—
762#3012—111no—
763#3012—111no—
764#3011—111no—
765#3010—111no—
766#2979—111no—
767C23×C11—21no—
768C23×C11—21no—
769C23×C11C22×D411yescharacteristic
770C23×C11C22×D411yescharacteristic
771C22×D11—21no—
772C22×D11—21no—
773C22×D11—21no—
774C22×D11—42no—
775C22×D11—42no—
776C22×D11—42no—
777C22×D11—81no—
778C22×D11—81no—
779C22×D11—81no—
780C22×D11—81no—
781C22×D11—81no—
782C22×D11—81no—
783C22×D11—81no—
784C22×D11—81no—
785C22×D11—81no—
786C22×D11C22×D411yescharacteristic
787C22×D11C22×D411yescharacteristic
788C22×D11C22×D411yescharacteristic
789Q8×C11—21no—
790Q8×C11—21no—
791Q8×C11—21no—
792Q8×C11—42no—
793Q8×C11H(5,𝔽2)12yes—
794D4×C11—21no—
795D4×C11—21no—
796D4×C11—21no—
797D4×C11—21no—
798D4×C11—41no—
799D4×C11—42no—
800D4×C11—81no—
801D4×C11—81no—
802D4×C11—81no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—42no—
814C2×C4×C11—42no—
815C2×C4×C11—81no—
816C2×C4×C11—81no—
817C2×C4×C11C22×D411yescharacteristic
818C2×C4×C11C22×D411yescharacteristic
819C2×C4×C11C22×D411yescharacteristic
820C2×C4×C11C22×D411yescharacteristic
821C2×C4×C11C2511yescharacteristic
822C22⋊D11—41no—
823C22⋊D11—41no—
824C22⋊D11—41no—
825C22⋊D11—41no—
826C22⋊D11—41no—
827C22⋊D11—41no—
828C22⋊D11—42no—
829C22⋊D11—42no—
830C22⋊D11—42no—
831C22⋊D11—81no—
832C22⋊D11—81no—
833C22⋊D11—81no—
834C22⋊D11—81no—
835C22⋊D11—81no—
836C22⋊D11—81no—
837C22⋊D11—81no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—81no—
844C2×Dic11—81no—
845C2×Dic11C22×D411yescharacteristic
846C2×Dic11C22×D411yescharacteristic
847C2×Dic11C22×D411yescharacteristic
848C2×Dic11C22×D411yescharacteristic
849C2×Dic11C22×D411yescharacteristic
850D44—24no—
851D44—21no—
852D44—21no—
853D44—21no—
854D44—21no—
855D44—21no—
856D44—41no—
857D44—41no—
858D44—41no—
859D44—42no—
860D44—42no—
861D44—42no—
862D44—81no—
863D44—81no—
864D44—81no—
865D44H(5,𝔽2)12yes—
866C4×D11—24no—
867C4×D11—21no—
868C4×D11—21no—
869C4×D11—21no—
870C4×D11—21no—
871C4×D11—21no—
872C4×D11—21no—
873C4×D11—41no—
874C4×D11—41no—
875C4×D11—42no—
876C4×D11—42no—
877C4×D11—42no—
878C4×D11—42no—
879C4×D11—42no—
880C4×D11—81no—
881C4×D11—81no—
882C4×D11—81no—
883C4×D11—81no—
884C4×D11—81no—
885Dic22—21no—
886Dic22—21no—
887Dic22—21no—
888Dic22—21no—
889Dic22—21no—
890Dic22—21no—
891Dic22—41no—
892Dic22—41no—
893Dic22—42no—
894Dic22—42no—
895Dic22—81no—
896C8×C11—21no—
897C8×C11—21no—
898C8×C11—21no—
899C8×C11—21no—
900C11⋊C8—21no—
901C11⋊C8—21no—
902C11⋊C8—21no—
903C11⋊C8—21no—
904C2×2−1+4—111no—
905C2×H(5,𝔽2)—111no—
906C2×#137—111no—
907C2×AGL(1,ℤ/8)—111no—
908C2×AGL(1,ℤ/8)—111no—
909C2×AGL(1,ℤ/8)—111no—
910C2×#135—111no—
911C2×#135—111no—
912C22×Q16—111no—
913C22×SD16—111no—
914#563—221no—
915#560—221no—
916#555—221no—
917#553—111no—
918#553C2×D1111yescharacteristic, complemented
919#552—111no—
920#552—111no—
921#551—221no—
922#548—111no—
923#548—111no—
924#548—111no—
925#548—111no—
926#548—111no—
927#548C2×D1111yescharacteristic, complemented
928#546—111no—
929#546—111no—
930#546—111no—
931#546—111no—
932#546—111no—
933#546—111no—
934#546—221no—
935#546—221no—
936#546—221no—
937#546—221no—
938#540—221no—
939#540—221no—
940#538—221no—
941#538—221no—
942#537—111no—
943#537—111no—
944#536—111no—
945#536—111no—
946#536—221no—
947#535—111no—
948#535—111no—
949#535—221no—
950#532—111no—
951#532—221no—
952#529—111no—
953#529—111no—
954C2×#124—111no—
955C2×#124—221no—
956C4×#41—111no—
957#495—111no—
958#495—111no—
959#495—111no—
960#495—111no—
961#488—111no—
962#488—111no—
963#488—111no—
964#488C2×D1111yescharacteristic, complemented
965#485—111no—
966#485—111no—
967#484—111no—
968#484—111no—
969#483—111no—
970#483C2×D1111yescharacteristic, complemented
971#482—111no—
972#482—111no—
973#482—111no—
974#482—111no—
975#482—111no—
976#482C2×D1111yescharacteristic, complemented
977#479—111no—
978#479C2×D1111yescharacteristic, complemented
979#478—111no—
980#478—111no—
981#470—111no—
982#470—111no—
983#469—111no—
984#469C2×D1111yescharacteristic, complemented
985#468—111no—
986#468—111no—
987#468—111no—
988#468C2×D1111yescharacteristic, complemented
989#467—111no—
990#467—111no—
991#466—111no—
992#466—111no—
993#465—111no—
994#465—111no—
995#465—111no—
996#465—111no—
997#464—111no—
998#464—111no—
999#464—111no—
1000#464—111no—
1001#464—111no—
1002#464—111no—
1003#463—111no—
1004#463—111no—
1005#463—111no—
1006#463—111no—
1007#463—111no—
1008#463C2×D1111yescharacteristic, complemented
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#452—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#450—111no—
1024#450—111no—
1025#450—111no—
1026#450—111no—
1027#449—111no—
1028#449—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#449C2×D1111yescharacteristic
1033#448—111no—
1034#448—111no—
1035#448—111no—
1036#448—111no—
1037#448—111no—
1038#448C2×D1111yescharacteristic, complemented
1039#447—111no—
1040#447—111no—
1041#447—111no—
1042#447—111no—
1043#447—111no—
1044#447—111no—
1045C4×Q16—111no—
1046C4×Q16—111no—
1047C4×SD16—111no—
1048C4×SD16—111no—
1049C4×SD16—111no—
1050C4×SD16C2×D1111yescharacteristic, complemented
1051C4×D8—111no—
1052C4×D8—111no—
1053#436—111no—
1054#436—111no—
1055#436—111no—
1056#436C2×D1111yescharacteristic, complemented
1057C8×D4—111no—
1058C8×D4—111no—
1059C8×D4—111no—
1060C8×D4—111no—
1061#431—111no—
1062#431—111no—
1063#419—111no—
1064#419C2×D1111yescharacteristic, complemented
1065#417—111no—
1066#417C2×D1111yescharacteristic, complemented
1067#416—111no—
1068#416—111no—
1069C2×#102—111no—
1070C2×#102—111no—
1071#408—111no—
1072#408—111no—
1073#408—111no—
1074#408—111no—
1075C22×C11—21no—
1076C22×C11—21no—
1077C22×C11—21no—
1078C22×C11—21no—
1079C22×C11—21no—
1080C22×C11—21no—
1081C22×C11—41no—
1082C22×C11—41no—
1083C22×C11—41no—
1084C22×C11—41no—
1085C22×C11—41no—
1086C22×C11—41no—
1087C22×C11C23×D411yescharacteristic
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—22no—
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—41no—
1099C2×D11—41no—
1100C2×D11—41no—
1101C2×D11—41no—
1102C2×D11—41no—
1103C2×D11—41no—
1104C2×D11—41no—
1105C2×D11—41no—
1106C2×D11—162no—
1107C2×D11—162no—
1108C2×D11—162no—
1109C2×D11—162no—
1110C4×C11—21no—
1111C4×C11—21no—
1112C4×C11—21no—
1113C4×C11—21no—
1114C4×C11—22no—
1115C4×C11—41no—
1116C4×C11—41no—
1117C4×C11—41no—
1118C4×C11—41no—
1119C4×C11—41no—
1120C4×C11C2×H(5,𝔽2)11yescharacteristic
1121C4×C11C2×H(5,𝔽2)11yescharacteristic
1122Dic11—21no—
1123Dic11—21no—
1124Dic11—21no—
1125Dic11—21no—
1126Dic11—21no—
1127Dic11—41no—
1128Dic11—41no—
1129Dic11—41no—
1130Dic11—41no—
1131Dic11—41no—
11322−1+4—442no—
11332−1+4—442no—
1134H(5,𝔽2)—442no—
1135H(5,𝔽2)—442no—
1136C2×#41—111no—
1137C2×#41—111no—
1138C2×#41—111no—
1139C2×#41—111no—
1140C2×#41—111no—
1141C2×#41—111no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—221no—
1145C2×#41—221no—
1146C2×#41—221no—
1147C2×#41—221no—
1148C2×#41C22×D1111yescharacteristic
1149C22×Q8—111no—
1150C22×Q8—111no—
1151C22×Q8—111no—
1152C22×Q8—221no—
1153C22×Q8C22×D1111yescharacteristic
1154C22×D4—111no—
1155C22×D4—111no—
1156C22×D4—111no—
1157C22×D4—111no—
1158C22×D4—221no—
1159C22×D4—221no—
1160C22×D4—221no—
1161#137—442no—
1162AGL(1,ℤ/8)—442no—
1163AGL(1,ℤ/8)—442no—
1164AGL(1,ℤ/8)—442no—
1165#135—442no—
1166#135—442no—
1167C2×Q16—111no—
1168C2×Q16—111no—
1169C2×Q16—111no—
1170C2×Q16—111no—
1171C2×Q16—111no—
1172C2×Q16—111no—
1173C2×Q16—442no—
1174C2×SD16—111no—
1175C2×SD16—111no—
1176C2×SD16—111no—
1177C2×SD16—111no—
1178C2×SD16—111no—
1179C2×SD16—111no—
1180C2×SD16—111no—
1181C2×SD16—111no—
1182C2×SD16—111no—
1183C2×SD16—111no—
1184C2×SD16—442no—
1185C2×SD16C22×D1111yescharacteristic
1186C2×SD16C22×D1111yescharacteristic
1187C2×D8—111no—
1188C2×D8—111no—
1189C2×D8—111no—
1190C2×D8—111no—
1191C2×D8—111no—
1192C2×D8C22×D1111yescharacteristic
1193C2×M16—111no—
1194C2×M16—111no—
1195C2×M16C22×D1111yescharacteristic
1196C2×M16C22×D1111yescharacteristic
1197C22×C8—111no—
1198C22×C8—111no—
1199C22×C8—111no—
1200C22×C8—111no—
1201C4⋊Q8—111no—
1202C4⋊Q8—221no—
1203C4⋊Q8—221no—
1204#127—111no—
1205#127—221no—
1206#127—221no—
1207#126—21no—
1208#126—221no—
1209#126—221no—
1210#126—221no—
1211#126—221no—
1212#126—221no—
1213#125—111no—
1214#125—221no—
1215#125—221no—
1216#125C22×D1111yescharacteristic
1217#124—21no—
1218#124—111no—
1219#124—111no—
1220#124—111no—
1221#124—111no—
1222#124—111no—
1223#124—111no—
1224#124—111no—
1225#124—221no—
1226#124—221no—
1227#124—221no—
1228#124—221no—
1229#124—221no—
1230#124—221no—
1231#124—221no—
1232#124—221no—
1233#124—221no—
1234#124—221no—
1235#124—221no—
1236#124C22×D1111yescharacteristic
1237#123—21no—
1238#123—221no—
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—
1253C22⋊Q8—21no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8C22×D1111yescharacteristic
1271#121—21no—
1272#121—21no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—111no—
1278#121—111no—
1279#121—111no—
1280#121—111no—
1281#121—111no—
1282#121—111no—
1283#121—111no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#121—221no—
1299#121—221no—
1300#121—221no—
1301#121—221no—
1302#121C22×D1111yescharacteristic
1303#121C22×D1111yescharacteristic
1304#121C22×D1111yescharacteristic
1305#120—221no—
1306#120—221no—
1307#120—221no—
1308#120—221no—
1309#120—221no—
1310#120—221no—
1311#120—221no—
1312#120—221no—
1313#120—221no—
1314#120—221no—
1315C4×Q8—111no—
1316C4×Q8—111no—
1317C4×Q8—111no—
1318C4×Q8C22×D1111yescharacteristic
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—111no—
1322C4×D4—111no—
1323C4×D4—111no—
1324C4×D4—111no—
1325C4×D4—111no—
1326C4×D4—111no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332C4×D4—221no—
1333C4×D4—221no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4C22×D1111yescharacteristic
1338C4×D4C22×D1111yescharacteristic
1339#117—111no—
1340#117—111no—
1341#117—221no—
1342#117—221no—
1343#117—221no—
1344#117—221no—
1345#117—221no—
1346#117C22×D1111yescharacteristic
1347C2×C4⋊C4—111no—
1348C2×C4⋊C4C22×D1111yescharacteristic
1349C2×C22⋊C4—221no—
1350C2×C22⋊C4—221no—
1351C2×C22⋊C4—221no—
1352C2×C22⋊C4—221no—
1353C2×C22⋊C4—221no—
1354C2×C22⋊C4—221no—
1355C2×C22⋊C4—221no—
1356C2×C22⋊C4—221no—
1357C2×C42—111no—
1358C2×C42—221no—
1359#107—111no—
1360#107—111no—
1361#107—111no—
1362#107C22×D1111yescharacteristic
1363#106—111no—
1364#106—111no—
1365#106C22×D1111yescharacteristic
1366#106C22×D1111yescharacteristic
1367C4⋊C8—111no—
1368C4⋊C8—111no—
1369C4⋊C8—111no—
1370C4⋊C8C22×D1111yescharacteristic
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103—111no—
1380#103—111no—
1381#103C22×D1111yescharacteristic
1382#103C22×D1111yescharacteristic
1383#103C22×D1111yescharacteristic
1384#103C22×D1111yescharacteristic
1385#103C22×D1111yescharacteristic
1386#103C22×D1111yescharacteristic
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102—111no—
1391#102—111no—
1392#102—111no—
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102C22×D1111yescharacteristic
1400#102C22×D1111yescharacteristic
1401#102C22×D1111yescharacteristic
1402#102C22×D1111yescharacteristic
1403C22⋊C8—111no—
1404C22⋊C8—111no—
1405C22⋊C8—111no—
1406C22⋊C8—111no—
1407C22⋊C8—111no—
1408C22⋊C8—111no—
1409C22⋊C8—111no—
1410C22⋊C8—111no—
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8C22×D1111yescharacteristic
1414C22⋊C8C22×D1111yescharacteristic
1415C4×C8—111no—
1416C4×C8—111no—
1417C4×C8—111no—
1418C4×C8C22×D1111yescharacteristic
1419C2×C11—41no—
1420C2×C11—41no—
1421C2×C11—81no—
1422C2×C11—81no—
1423C2×C11#348411yescharacteristic
1424C2×C11#358411yescharacteristic
1425C2×C11#358411yescharacteristic
1426D11—41no—
1427D11—41no—
1428D11—41no—
1429D11—42no—
1430D11—81no—
1431D11—81no—
1432C24—221no—
1433C24—221no—
1434C24—221no—
1435C24—221no—
1436#41—22no—
1437#41—41no—
1438#41—222no—
1439#41—222no—
1440#41—222no—
1441#41—222no—
1442#41—222no—
1443#41—441no—
1444#41—441no—
1445#41—441no—
1446#41—441no—
1447#41—441no—
1448#41—441no—
1449#41—441no—
1450#41—444no—
1451#41—444no—
1452#41—444no—
1453#41—441no—
1454#41—441no—
1455#41—441no—
1456#41—441no—
1457#41—444no—
1458C2×Q8—21no—
1459C2×Q8—22no—
1460C2×Q8—41no—
1461C2×Q8—111no—
1462C2×Q8—111no—
1463C2×Q8—111no—
1464C2×Q8—111no—
1465C2×Q8—111no—
1466C2×Q8—221no—
1467C2×Q8—221no—
1468C2×Q8—221no—
1469C2×Q8—222no—
1470C2×Q8—441no—
1471C2×Q8—441no—
1472C2×Q8—441no—
1473C2×Q8—441no—
1474C2×Q8—441no—
1475C2×Q8—444no—
1476C2×Q8C23×D1111yescharacteristic
1477C2×Q8C23×D1111yescharacteristic
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—111no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—111no—
1486C2×D4—111no—
1487C2×D4—111no—
1488C2×D4—111no—
1489C2×D4—111no—
1490C2×D4—111no—
1491C2×D4—111no—
1492C2×D4—111no—
1493C2×D4—111no—
1494C2×D4—222no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—221no—
1503C2×D4—221no—
1504C2×D4—222no—
1505C2×D4—221no—
1506C2×D4—221no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—441no—
1514C2×D4—444no—
1515C2×D4—441no—
1516C2×D4—441no—
1517C2×D4—441no—
1518C2×D4—441no—
1519C2×D4—441no—
1520C2×D4—444no—
1521C2×D4—444no—
1522C2×D4D4×D1111yescharacteristic
1523C2×D4C23×D1111yescharacteristic
1524C2×D4C23×D1111yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—111no—
1530C22×C4—111no—
1531C22×C4—111no—
1532C22×C4—111no—
1533C22×C4—111no—
1534C22×C4—221no—
1535C22×C4—221no—
1536C22×C4—221no—
1537C22×C4—221no—
1538C22×C4—221no—
1539C22×C4—221no—
1540C22×C4—221no—
1541C22×C4—221no—
1542C22×C4—221no—
1543C22×C4—221no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4C23×D1111yescharacteristic
1548C22×C4C23×D1111yescharacteristic
1549Q16—222no—
1550Q16—222no—
1551Q16—441no—
1552Q16—441no—
1553Q16—441no—
1554Q16—441no—
1555SD16—22no—
1556SD16—41no—
1557SD16—222no—
1558SD16—222no—
1559SD16—222no—
1560SD16—441no—
1561SD16—441no—
1562SD16—441no—
1563SD16—441no—
1564SD16—441no—
1565SD16—441no—
1566SD16—441no—
1567D8—41no—
1568D8—222no—
1569D8—222no—
1570D8—441no—
1571D8—441no—
1572D8—441no—
1573M16—41no—
1574M16—41no—
1575M16—441no—
1576M16—441no—
1577C2×C8—111no—
1578C2×C8—111no—
1579C2×C8—111no—
1580C2×C8—111no—
1581C2×C8—441no—
1582C2×C8—441no—
1583C2×C8—441no—
1584C2×C8—441no—
1585C2×C8C23×D1111yescharacteristic
1586C2×C8C23×D1111yescharacteristic
1587C2×C8C23×D1111yescharacteristic
1588C2×C8C23×D1111yescharacteristic
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—111no—
1595C4⋊C4—111no—
1596C4⋊C4—111no—
1597C4⋊C4—111no—
1598C4⋊C4—111no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4—221no—
1614C4⋊C4D4×D1111yescharacteristic
1615C4⋊C4C23×D1111yescharacteristic
1616C4⋊C4C23×D1111yescharacteristic
1617C4⋊C4C23×D1111yescharacteristic
1618C4⋊C4C23×D1111yescharacteristic
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—111no—
1628C22⋊C4—111no—
1629C22⋊C4—111no—
1630C22⋊C4—111no—
1631C22⋊C4—111no—
1632C22⋊C4—111no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4D4×D1111yescharacteristic
1665C22⋊C4D4×D1111yescharacteristic
1666C42—21no—
1667C42—21no—
1668C42—111no—
1669C42—111no—
1670C42—111no—
1671C42—221no—
1672C42—221no—
1673C42—221no—
1674C42—221no—
1675C42—221no—
1676C42C23×D1111yescharacteristic
1677C11#6166611yescharacteristic, complemented, Sylow
1678C23—21no—
1679C23—21no—
1680C23—111no—
1681C23—111no—
1682C23—111no—
1683C23—221no—
1684C23—221no—
1685C23—221no—
1686C23—442no—
1687C23—442no—
1688C23—442no—
1689C23—881no—
1690C23—881no—
1691C23—881no—
1692C23—881no—
1693C23—881no—
1694C23—881no—
1695C23—881no—
1696C23—881no—
1697C23—881no—
1698C23C2×D4×D1111yescharacteristic
1699C23C2×D4×D1111yescharacteristic
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—42no—
1704Q8—221no—
1705Q8—221no—
1706Q8—221no—
1707Q8—221no—
1708Q8—221no—
1709Q8—221no—
1710Q8—441no—
1711Q8—441no—
1712Q8—442no—
1713Q8—442no—
1714Q8—881no—
1715Q8#6704212yes—
1716D4—21no—
1717D4—21no—
1718D4—21no—
1719D4—21no—
1720D4—41no—
1721D4—42no—
1722D4—81no—
1723D4—81no—
1724D4—81no—
1725D4—112no—
1726D4—224no—
1727D4—221no—
1728D4—221no—
1729D4—221no—
1730D4—221no—
1731D4—221no—
1732D4—441no—
1733D4—441no—
1734D4—441no—
1735D4—442no—
1736D4—442no—
1737D4—442no—
1738D4—441no—
1739D4—441no—
1740D4—441no—
1741D4—441no—
1742D4—441no—
1743D4—441no—
1744D4—442no—
1745D4—442no—
1746D4—442no—
1747D4—881no—
1748D4—881no—
1749D4—881no—
1750D4—881no—
1751D4—881no—
1752D4—881no—
1753D4—881no—
1754D4—881no—
1755D4—881no—
1756D4—881no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—81no—
1770C2×C4—81no—
1771C2×C4—111no—
1772C2×C4—111no—
1773C2×C4—111no—
1774C2×C4—111no—
1775C2×C4—111no—
1776C2×C4—224no—
1777C2×C4—221no—
1778C2×C4—221no—
1779C2×C4—221no—
1780C2×C4—221no—
1781C2×C4—221no—
1782C2×C4—221no—
1783C2×C4—221no—
1784C2×C4—221no—
1785C2×C4—221no—
1786C2×C4—221no—
1787C2×C4—221no—
1788C2×C4—441no—
1789C2×C4—441no—
1790C2×C4—442no—
1791C2×C4—442no—
1792C2×C4—442no—
1793C2×C4—442no—
1794C2×C4—442no—
1795C2×C4—881no—
1796C2×C4—881no—
1797C2×C4—881no—
1798C2×C4—881no—
1799C2×C4—881no—
1800C2×C4—881no—
1801C2×C4—881no—
1802C2×C4C2×D4×D1111yescharacteristic
1803C2×C4C2×D4×D1111yescharacteristic
1804C2×C4C2×D4×D1111yescharacteristic
1805C2×C4C2×D4×D1111yescharacteristic
1806C2×C4C24×D1111yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—221no—
1812C8—221no—
1813C8—221no—
1814C8—221no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—222no—
1828C22—221no—
1829C22—221no—
1830C22—221no—
1831C22—221no—
1832C22—221no—
1833C22—221no—
1834C22—221no—
1835C22—221no—
1836C22—221no—
1837C22—441no—
1838C22—441no—
1839C22—441no—
1840C22—441no—
1841C22—441no—
1842C22—441no—
1843C22—441no—
1844C22—441no—
1845C22—1762no—
1846C22—1762no—
1847C22—1762no—
1848C22—1762no—
1849C22C22×D4×D1111yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—22no—
1853C4—21no—
1854C4—21no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—221no—
1861C4—221no—
1862C4—221no—
1863C4—221no—
1864C4—221no—
1865C4—441no—
1866C4—441no—
1867C4—441no—
1868C4—441no—
1869C4—441no—
1870C4C2×#6704211yescharacteristic
1871C4D11×H(5,𝔽2)11yescharacteristic
1872C2—41no—
1873C2—41no—
1874C2—81no—
1875C2—81no—
1876C2—441no—
1877C2—441no—
1878C2—441no—
1879C2—442no—
1880C2—881no—
1881C2—881no—
1882C2#1308224611yescharacteristic
1883C2#1308338811yescharacteristic
1884C2#1308338911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3326C2
socleC22×C11C23×D4
hypercenter#3326D11
hypocenterC11#61666
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. #13083042C2semidirect
2. #13082407C2semidirect
3. #13080885C2semidirect
4. #13080881C2semidirect
5. #13080865C2semidirect
6. #13080469C2semidirect
7. #13080460C2semidirect
8. #13080450C2semidirect
9. #13080449C2semidirect
10. #13080353C2semidirect
11. #13080350C2semidirect
12. #13080326C2semidirect
13. #13080325C2semidirect
14. #13080254C2semidirect
15. #13080252C2semidirect
16. #13080224C2semidirect
17. #13080222C2semidirect
18. #13079582C2semidirect
19. #13079579C2semidirect
20. #13079505C2semidirect
21. #13079493C2semidirect
22. #13079490C2semidirect
23. #13079478C2semidirect
24. #13078641C2semidirect
25. #13078632C2semidirect
26. #13077922C2semidirect
27. #13077918C2semidirect
28. #13077912C2semidirect
29. #13077897C2semidirect
30. #13077681C2semidirect
31. C11×#3326C2semidirect
32. C2×#67042C22semidirect
34. C11×#553C22semidirect
35. C11×#548C22semidirect
38. #10623348C22semidirect
39. C22×#4326C22semidirect
41. C2×#66967C22semidirect
42. C2×SD16×D11C22semidirect
44. C2×#66962C22semidirect
48. #10623225C22semidirect
49. #10623222C22semidirect
53. D11×#124C22semidirect
59. #10623159C22semidirect
63. #10623143C22semidirect
64. #10623143C22semidirect
68. #10623138C22semidirect
69. #10623129C22semidirect
71. C4×#4343C22semidirect
74. #10623088C22semidirect
75. #10623085C22semidirect
76. #10623083C22semidirect
78. #10623081C22semidirect
81. #10623061C22semidirect
82. #10623057C22semidirect
83. #10623044C22semidirect
85. C11×#488C22semidirect
86. C11×#483C22semidirect
87. C11×#482C22semidirect
88. C11×#479C22semidirect
89. C11×#469C22semidirect
90. C11×#468C22semidirect
91. C11×#463C22semidirect
93. C11×#448C22semidirect
94. C4×C11×SD16C22semidirect
95. C11×#436C22semidirect
96. C11×#419C22semidirect
97. C11×#417C22semidirect
98. #10622852C22semidirect
99. #10622840C22semidirect
100. #10622786C22semidirect
102. #10622783C22semidirect
103. #10622781C22semidirect
104. #10622779C22semidirect
106. #10622769C22semidirect
107. #10622768C22semidirect
108. #10622750C22semidirect
109. #10622748C22semidirect
110. #10622742C22semidirect
111. #10622742C22semidirect
112. #10622741C22semidirect
113. #10622741C22semidirect
114. #10622681C22semidirect
115. #10622679C22semidirect
116. #10622672C22semidirect
117. #10622667C22semidirect
118. #10622664C22semidirect
119. #10622660C22semidirect
120. #10622654C22semidirect
121. #10622653C22semidirect
122. #10622651C22semidirect
123. #10622651C22semidirect
124. #10622650C22semidirect
126. C4×#4326C22semidirect
127. #10622641C22semidirect
128. #10622629C22semidirect
129. C4×#4323C22semidirect
130. D4×C11⋊C8C22semidirect
131. #10622616C22semidirect
132. #10622615C22semidirect
133. #10622583C22semidirect
134. C2×#66873C22semidirect
135. #10622501C22semidirect
136. #10622499C22semidirect
137. #10622497C22semidirect
138. #10622485C22semidirect
139. #10622484C22semidirect
140. #10622481C22semidirect
141. #10622480C22semidirect
142. #10622479C22semidirect
143. #10622479C22semidirect
144. #10622477C22semidirect
145. #10622477C22semidirect
146. #10622465C22semidirect
147. #10622458C22semidirect
148. #10622457C22semidirect
149. #10622451C22semidirect
150. #10622446C22semidirect
151. #10622432C22semidirect
152. #10622426C22semidirect
153. #10622425C22semidirect
156. #10622423C22semidirect
157. #10622423C22semidirect
158. #10622423C22semidirect
159. #10622423C22semidirect
160. #10622423C22semidirect
161. #10622421C22semidirect
162. #10622421C22semidirect
163. #10622421C22semidirect
164. #10622421C22semidirect
165. #10622419C22semidirect
166. #10622418C22semidirect
167. #10622417C22semidirect
168. #10622416C22semidirect
169. #10622415C22semidirect
170. #10622413C22semidirect
171. #10622412C22semidirect
172. #10622411C22semidirect
173. #10622403C22semidirect
174. #10622401C22semidirect
175. #10622400C22semidirect
176. #10622400C22semidirect
177. #10622396C22semidirect
178. #10622393C22semidirect
179. #10622392C22semidirect
180. #10622392C22semidirect
181. #10622391C22semidirect
182. #10622389C22semidirect
183. #10622389C22semidirect
184. #10622389C22semidirect
187. #10622386C22semidirect
188. D11×#102C22semidirect
189. #10622381C22semidirect
190. #10622380C22semidirect
191. #10622351C22semidirect
192. #10622347C22semidirect
193. #10622346C22semidirect
194. #10622344C22semidirect
195. #10622340C22semidirect
196. #10622340C22semidirect
197. (C22⋊D11)⋊C8C22semidirect
198. (C22⋊D11)⋊C8C22semidirect
199. #10622309C22semidirect
200. C4×#4314C22semidirect
201. C8×D44C22semidirect
202. #10622298C22semidirect
741. #3326D11semidirect
918. #553C2×D11semidirect
927. #548C2×D11semidirect
964. #488C2×D11semidirect
970. #483C2×D11semidirect
976. #482C2×D11semidirect
978. #479C2×D11semidirect
984. #469C2×D11semidirect
988. #468C2×D11semidirect
1008. #463C2×D11semidirect
1038. #448C2×D11semidirect
1050. C4×SD16C2×D11semidirect
1056. #436C2×D11semidirect
1064. #419C2×D11semidirect
1066. #417C2×D11semidirect
1677. C11#61666semidirect

Maximal subgroups

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

subgroupindex
#130830422
#130824072
#130808852
#130808812
#130808652
#130804692
#130804602
#130804502
#130804492
#130803532
#130803502
#130803262
#130803252
#130802542
#130802522
#130802242
#130802222
#130795822
#130795792
#130795052
#130794932
#130794902
#130794782
#130786412
#130786322
#130779222
#130779182
#130779122
#130778972
#130776812
C11×#33262
#6166611