Finite Group Databasebeta

← #15639255

Subgroups — #15639255

Order 2816.

2138 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082451C211yesmaximal, characteristic, complemented
2#41×D44C211yesmaximal, characteristic, complemented
3#13080881C211yesmaximal, characteristic, complemented
4#13080829C211yesmaximal, characteristic, complemented
5#13080792C211yesmaximal, characteristic, complemented
6#13080762C211yesmaximal, characteristic, complemented
7#13080747C211yesmaximal, characteristic, complemented
8#13080717C211yesmaximal, characteristic, complemented
9#13080515C211yesmaximal, characteristic, complemented
10#13080463C211yesmaximal, characteristic, complemented
11#13080352C211yesmaximal, characteristic, complemented
12#13080329C211yesmaximal, characteristic, complemented
13#13080242C211yesmaximal, characteristic, complemented
14#13080222C211yesmaximal, characteristic, complemented
15#13080188C211yesmaximal, characteristic, complemented
16#13080158C211yesmaximal, characteristic, complemented
17#13080143C211yesmaximal, characteristic, complemented
18#13080113C211yesmaximal, characteristic, complemented
19#13079655C211yesmaximal, characteristic, complemented
20#13079588C211yesmaximal, characteristic, complemented
21#13079456C211yesmaximal, characteristic, complemented
22#13079450C211yesmaximal, characteristic, complemented
23#13079411C211yesmaximal, characteristic, complemented
24#13079385C211yesmaximal, characteristic, complemented
25#13078634C211yesmaximal, characteristic, complemented
26#13077865C211yesmaximal, characteristic, complemented
27#13077859C211yesmaximal, characteristic, complemented
28#13077831C211yesmaximal, characteristic, complemented
29D11×#452C211yesmaximal, characteristic, complemented
30#13077653C211yesmaximal, characteristic, complemented
31C11×#3111C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic, complemented
34C11×#529C2211yescharacteristic, complemented
35C4×C11×#41C2211yescharacteristic, complemented
36C2×#66971C2211yescharacteristic, complemented
37C2×Q16×D11C2211yescharacteristic, complemented
38C2×#66969C2211yescharacteristic, complemented
39C2×#66967C2211yescharacteristic, complemented
40C2×#66967C2211yescharacteristic, complemented
41C2×SD16×D11C2211yescharacteristic, complemented
42C2×#66965C2211yescharacteristic, complemented
43C2×#66964C2211yescharacteristic, complemented
44#10623240—21no—
45#10623236—21no—
46#10623226C2211yescharacteristic, complemented
47#10623225C2211yescharacteristic, complemented
48#10623208C2211yescharacteristic, complemented
49#10623207C2211yescharacteristic, complemented
50#10623196—21no—
51#10623184—21no—
52#10623158C2211yescharacteristic, complemented
53D11×C22⋊Q8C2211yescharacteristic, complemented
54#10623137C2211yescharacteristic, complemented
55D11×#121C2211yescharacteristic, complemented
56#10623112C2211yescharacteristic, complemented
57#10623108C2211yescharacteristic
58#10623107C2211yescharacteristic
59#10623107C2211yescharacteristic
60#10623107C2211yescharacteristic, complemented
61Q8×D44C2211yescharacteristic, complemented
62#10623091—21no—
63#10623089C2211yescharacteristic
64#10623086—21no—
65#10623086C2211yescharacteristic
66#10623085—21no—
67#10623085—21no—
68#10623085C2211yescharacteristic
69#10623085C2211yescharacteristic, complemented
70#10623085C2211yescharacteristic, complemented
71D4×D44—21no—
72D4×D44C2211yescharacteristic, complemented
73#10623076—21no—
74#10623061—21no—
75#10623058—21no—
76#10623055—21no—
77#10623055—21no—
78#10623055C2211yescharacteristic
79#10623055C2211yescharacteristic, complemented
80#10623010C2211yescharacteristic, complemented
81#10623008—21no—
82#10623008C2211yescharacteristic, complemented
83C2×C4×D44—21no—
84C2×C4×D44C2211yescharacteristic
85C11×#485C2211yescharacteristic, complemented
86C11×#482C2211yescharacteristic, complemented
87C11×#479C2211yescharacteristic, complemented
88C11×#478C2211yescharacteristic, complemented
89C11×#464C2211yescharacteristic, complemented
90C11×#463C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic
93C11×#442C2211yescharacteristic, complemented
94C11×#441C2211yescharacteristic, complemented
95C11×#440C2211yescharacteristic, complemented
96C11×#440C2211yescharacteristic, complemented
97C11×#432C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic
100#10622800C2211yescharacteristic, complemented
101#10622800C2211yescharacteristic, complemented
102#10622786C2211yescharacteristic, complemented
103#10622786C2211yescharacteristic, complemented
104#10622783C2211yescharacteristic, complemented
105#10622783C2211yescharacteristic, complemented
106#10622769C2211yescharacteristic, complemented
107#10622769C2211yescharacteristic, complemented
108#10622681C2211yescharacteristic, complemented
109#10622681C2211yescharacteristic, complemented
110#10622672C2211yescharacteristic, complemented
111#10622672C2211yescharacteristic, complemented
112#10622660C2211yescharacteristic, complemented
113#10622660C2211yescharacteristic, complemented
114#10622650C2211yescharacteristic, complemented
115#10622650C2211yescharacteristic, complemented
116#10622644C2211yescharacteristic, complemented
117C4×#4326C2211yescharacteristic, complemented
118#10622641C2211yescharacteristic, complemented
119#10622640C2211yescharacteristic, complemented
120C4×#4325C2211yescharacteristic, complemented
121#10622635C2211yescharacteristic, complemented
122#10622632C2211yescharacteristic, complemented
123C4×#4324C2211yescharacteristic, complemented
124#10622629C2211yescharacteristic, complemented
125#10622628C2211yescharacteristic, complemented
126C4×#4323C2211yescharacteristic, complemented
127#10622622C2211yescharacteristic, complemented
128#10622616C2211yescharacteristic, complemented
129#10622609C2211yescharacteristic, complemented
130#10622538C2211yescharacteristic, complemented
131#10622501C2211yescharacteristic, complemented
132#10622501C2211yescharacteristic, complemented
133#10622499C2211yescharacteristic, complemented
134#10622499C2211yescharacteristic, complemented
135#10622497C2211yescharacteristic, complemented
136#10622497C2211yescharacteristic, complemented
137#10622496C2211yescharacteristic, complemented
138#10622496C2211yescharacteristic, complemented
139#10622481C2211yescharacteristic, complemented
140#10622481C2211yescharacteristic, complemented
141#10622479C2211yescharacteristic, complemented
142#10622479C2211yescharacteristic, complemented
143#10622477C2211yescharacteristic, complemented
144#10622477C2211yescharacteristic, complemented
145#10622476C2211yescharacteristic, complemented
146#10622476C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic, complemented
150#10622457C2211yescharacteristic, complemented
151#10622451C2211yescharacteristic, complemented
152#10622451C2211yescharacteristic, complemented
153#10622447C2211yescharacteristic, complemented
154#10622447C2211yescharacteristic, complemented
155#10622429C2211yescharacteristic, complemented
156#10622426C2211yescharacteristic, complemented
157#10622425C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic, complemented
159#10622424C2211yescharacteristic, complemented
160#10622423C2211yescharacteristic, complemented
161#10622423C2211yescharacteristic, complemented
162#10622421C2211yescharacteristic, complemented
163#10622421C2211yescharacteristic, complemented
164#10622420C2211yescharacteristic, complemented
165#10622419C2211yescharacteristic, complemented
166#10622419C2211yescharacteristic, complemented
167#10622417C2211yescharacteristic, complemented
168#10622416C2211yescharacteristic, complemented
169#10622415C2211yescharacteristic, complemented
170D11×#103C2211yescharacteristic, complemented
171#10622396C2211yescharacteristic, complemented
172#10622396C2211yescharacteristic, complemented
173#10622395C2211yescharacteristic, complemented
174#10622394C2211yescharacteristic, complemented
175#10622394C2211yescharacteristic, complemented
176#10622393C2211yescharacteristic, complemented
177#10622391C2211yescharacteristic, complemented
178#10622389C2211yescharacteristic, complemented
179#10622389C2211yescharacteristic, complemented
180#10622388C2211yescharacteristic, complemented
181#10622386C2211yescharacteristic, complemented
182#10622386C2211yescharacteristic, complemented
183#10622385C2211yescharacteristic, complemented
184#10622384C2211yescharacteristic, complemented
185#10622383C2211yescharacteristic, complemented
186D11×#102C2211yescharacteristic, complemented
187#10622347C2211yescharacteristic, complemented
188#10622347C2211yescharacteristic, complemented
189#10622346C2211yescharacteristic, complemented
190#10622346C2211yescharacteristic, complemented
191#10622339C2211yescharacteristic, complemented
192#10622339C2211yescharacteristic, complemented
193D11×C22⋊C8C2211yescharacteristic, complemented
194D11×C22⋊C8C2211yescharacteristic, complemented
195#10622328C2211yescharacteristic, complemented
196#10622326C2211yescharacteristic, complemented
197#10622325C2211yescharacteristic, complemented
198#10622319C2211yescharacteristic, complemented
199#10622319C2211yescharacteristic, complemented
200#10622319C2211yescharacteristic, complemented
201#10622319C2211yescharacteristic, complemented
202#10622316C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204#41×D11—42no—
205#41×D11—42no—
206#41×D11—42no—
207#41×D11—42no—
208C2×#4343C2311yescharacteristic
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×Q8×D11C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×#4341—21no—
215C2×#4341—21no—
216C2×#4341C2311yescharacteristic
217C2×#4341C2311yescharacteristic
218C2×#4341C2311yescharacteristic
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11C2311yescharacteristic
223C2×D4×D11C2311yescharacteristic
224C2×D4×D11C2311yescharacteristic
225C2×#4339—21no—
226C2×#4339—21no—
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C22×D44—21no—
230C22×D44D411yescharacteristic
231C22×C4×D11—21no—
232C22×C4×D11—21no—
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C2×C11×Q16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×D8C2311yescharacteristic
239C11×#126—21no—
240C11×#125C2311yescharacteristic
241C11×#124C2311yescharacteristic
242C11×#123—21no—
243C11×C22⋊Q8C2311yescharacteristic
244C11×#121C2311yescharacteristic
245C4×Q8×C11C2311yescharacteristic
246C4×Q8×C11C2311yescharacteristic
247C4×Q8×C11C2311yescharacteristic
248C4×D4×C11—21no—
249C4×D4×C11—21no—
250C4×D4×C11—21no—
251C4×D4×C11C2311yescharacteristic
252C4×D4×C11C2311yescharacteristic
253C4×D4×C11C2311yescharacteristic
254C11×#117—21no—
255C11×#117—21no—
256C11×#117C2311yescharacteristic
257C2×C42×C11—21no—
258C2×C42×C11C2311yescharacteristic
259#66999C2311yescharacteristic
260#66999C2311yescharacteristic
261C2×#4326C2311yescharacteristic
262C2×#4326C2311yescharacteristic
263C2×#4326C2311yescharacteristic
264C2×#4325C2311yescharacteristic
265C2×#4325C2311yescharacteristic
266C2×#4325C2311yescharacteristic
267#66992—21no—
268#66991C2311yescharacteristic
269#66991C2311yescharacteristic
270#66990—21no—
271D4×Dic11—21no—
272C2×#4324C2311yescharacteristic
273C2×#4324C2311yescharacteristic
274C2×#4324C2311yescharacteristic
275C2×#4323C2311yescharacteristic
276C2×#4323C2311yescharacteristic
277C2×#4323C2311yescharacteristic
278#66983—21no—
279#66983—21no—
280#66983—21no—
281#66983—21no—
282#66983—21no—
283#66983—21no—
284#66983—21no—
285#66983C2311yescharacteristic
286#66982—21no—
287#66982—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11—21no—
290C2×(C2×D11)⋊C4—21no—
291C2×(C2×D11)⋊C4—21no—
292C2×(C2×D11)⋊C4—21no—
293C2×(C2×D11)⋊C4D411yescharacteristic
294C2×(C2×D11)⋊C4D411yescharacteristic
295C2×C4⋊Dic11—21no—
296C2×C4⋊Dic11D411yescharacteristic
297#66977C2311yescharacteristic
298#66971—42no—
299Q16×D11—42no—
300#66969—42no—
301#66967—42no—
302#66967—42no—
303SD16×D11—42no—
304#66965—42no—
305#66964—42no—
306C2×Dic44C2311yescharacteristic
307C2×Dic44C2311yescharacteristic
308C2×D88C2311yescharacteristic
309C2×D88C2311yescharacteristic
310C2×#4314C2311yescharacteristic
311C2×#4314C2311yescharacteristic
312C2×#4314C2311yescharacteristic
313C2×#4314C2311yescharacteristic
314C2×#4313C2311yescharacteristic
315C2×#4313C2311yescharacteristic
316C2×#4313C2311yescharacteristic
317C2×#4313C2311yescharacteristic
318C2×C8×D11C2311yescharacteristic
319C2×C8×D11C2311yescharacteristic
320C2×C8×D11C2311yescharacteristic
321C2×C8×D11C2311yescharacteristic
322#66951—21no—
323#66951—21no—
324#66950—21no—
325#66950—21no—
326#66950—21no—
327#66950—21no—
328#66950—21no—
329#66950C2311yescharacteristic
330#66950C2311yescharacteristic
331#66950C2311yescharacteristic
332#66950C2311yescharacteristic
333#66950C2311yescharacteristic
334#66950C2311yescharacteristic
335#66949—21no—
336#66948—21no—
337#66948—21no—
338#66948—21no—
339#66948—21no—
340#66948—21no—
341#66948—21no—
342#66948C2311yescharacteristic
343#66948C2311yescharacteristic
344#66948C2311yescharacteristic
345#66948C2311yescharacteristic
346#66948C2311yescharacteristic
347#66948C2311yescharacteristic
348#66947—21no—
349#66947—21no—
350#66947—21no—
351#66947—21no—
352#66946—21no—
353#66946—21no—
354#66945—21no—
355#66945C2311yescharacteristic
356#66945C2311yescharacteristic
357C4⋊C4×D11—21no—
358C4⋊C4×D11C2311yescharacteristic
359C4⋊C4×D11C2311yescharacteristic
360#66943—21no—
361#66942—21no—
362#66939—21no—
363#66939—21no—
364#66939—21no—
365#66939—21no—
366#66939—21no—
367#66939—21no—
368#66939—21no—
369#66938—21no—
370#66937—21no—
371#66937—21no—
372#66937—21no—
373#66937—21no—
374#66936—21no—
375#66936—21no—
376#66935—21no—
377#66935—21no—
378#66935—21no—
379#66935—21no—
380#66935—21no—
381#66935—21no—
382#66935—21no—
383#66935—21no—
384#66935—21no—
385(C22⋊D11)⋊C4—21no—
386(C22⋊D11)⋊C4—21no—
387(C22⋊D11)⋊C4—21no—
388C22⋊C4×D11—21no—
389C22⋊C4×D11—21no—
390C22⋊C4×D11—21no—
391#66932—21no—
392#66931—21no—
393#66931—21no—
394#66929—21no—
395#66929—21no—
396#66928—21no—
397#66928—21no—
398#66928—21no—
399#66928C2311yescharacteristic
400#66928C2311yescharacteristic
401#66928C2311yescharacteristic
402#66927—21no—
403#66927C2311yescharacteristic
404C4×D44—21no—
405C4×D44—21no—
406C4×D44—21no—
407C4×D44—21no—
408C4×D44—21no—
409C4×D44—21no—
410C4×D44—21no—
411C4×D44—21no—
412C4×D44—21no—
413C4×D44—21no—
414C4×D44—21no—
415C4×D44D411yescharacteristic
416C4×D44D411yescharacteristic
417C4×D44D411yescharacteristic
418C4×D44D411yescharacteristic
419C4×D44C2311yescharacteristic
420C4×D44C2311yescharacteristic
421C4×D44C2311yescharacteristic
422C4×D44C2311yescharacteristic
423C4×D44C2311yescharacteristic
424#66925—21no—
425#66925—21no—
426#66923C2311yescharacteristic
427#66922—21no—
428#66922C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#107C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×#106C2311yescharacteristic
434C11×C4⋊C8C2311yescharacteristic
435C11×C4⋊C8C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#102C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×#97C2311yescharacteristic
447C11×#97C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
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#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66880C2311yescharacteristic
469#66880C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66872C2311yescharacteristic
483#66872C2311yescharacteristic
484#66871C2311yescharacteristic
485#66871C2311yescharacteristic
486C4⋊(C11⋊C8)C2311yescharacteristic
487C4⋊(C11⋊C8)C2311yescharacteristic
488C4×C11⋊C8C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61606—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11C2×D411yescharacteristic
495C23×D11C2×D411yescharacteristic
496C11×#41—22no—
497C11×#41—22no—
498C2×Q8×C11C2411yescharacteristic
499C2×Q8×C11C2411yescharacteristic
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11C2411yescharacteristic
503C2×D4×C11C2411yescharacteristic
504C22×C4×C11—21no—
505C22×C4×C11—21no—
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11C2×D411yescharacteristic
509C22×C4×C11C2×D411yescharacteristic
510C22×C4×C11C2411yescharacteristic
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C22×Dic11—21no—
523C22×Dic11—21no—
524C22×Dic11—21no—
525C22×Dic11C2×D411yescharacteristic
526C22×Dic11C2×D411yescharacteristic
527#4343—22no—
528#4343—22no—
529#4343—41no—
530#4343—41no—
531#4343—41no—
532#4343—41no—
533Q8×D11—22no—
534Q8×D11—22no—
535Q8×D11—41no—
536Q8×D11—41no—
537Q8×D11—41no—
538Q8×D11—41no—
539#4341—22no—
540#4341—22no—
541#4341—41no—
542#4341—41no—
543#4341—41no—
544#4341—41no—
545#4341—44no—
546#4341—44no—
547D4×D11—22no—
548D4×D11—22no—
549D4×D11—41no—
550D4×D11—41no—
551D4×D11—44no—
552D4×D11—44no—
553D4×D11—41no—
554D4×D11—41no—
555D4×D11—44no—
556#4339—41no—
557#4339—41no—
558#4339—41no—
559#4339—41no—
560#4339—44no—
561#4339—44no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44—21no—
573C2×D44—42no—
574C2×D44—44no—
575C2×D44C2×D411yescharacteristic
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×D11—41no—
594C2×C4×D11—41no—
595C2×C4×D11—41no—
596C2×C4×D11—41no—
597C2×C4×D11—44no—
598C2×C4×D11—44no—
599C2×C4×D11C2×D411yescharacteristic
600C2×C4×D11C2×D411yescharacteristic
601C2×C4×D11C2×D411yescharacteristic
602C2×C4×D11C2×D411yescharacteristic
603C2×C4×D11C2411yescharacteristic
604C2×C4×D11C2411yescharacteristic
605C2×C4×D11C2411yescharacteristic
606C2×C4×D11C2411yescharacteristic
607C2×Dic22—21no—
608C2×Dic22—21no—
609C2×Dic22—21no—
610C2×Dic22C2411yescharacteristic
611C2×Dic22C2411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×Q16—22no—
614C11×SD16—22no—
615C11×SD16—22no—
616C11×D8—22no—
617C2×C8×C11C2411yescharacteristic
618C2×C8×C11C2411yescharacteristic
619C2×C8×C11C2411yescharacteristic
620C2×C8×C11C2411yescharacteristic
621C11×C4⋊C4—21no—
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4—21no—
627C11×C4⋊C4C2411yescharacteristic
628C11×C4⋊C4C2411yescharacteristic
629C11×C4⋊C4C2411yescharacteristic
630C11×C4⋊C4C2411yescharacteristic
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C42×C11—21no—
640C42×C11—21no—
641C42×C11—21no—
642C42×C11—21no—
643C42×C11C2×D411yescharacteristic
644C42×C11C2×D411yescharacteristic
645C42×C11C2411yescharacteristic
646C42×C11C2411yescharacteristic
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650#4326—22no—
651#4326—41no—
652#4326—41no—
653#4325—22no—
654#4325—41no—
655#4325—41no—
656#4324—22no—
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)⋊C4—21no—
686(C2×D11)⋊C4C2×D411yescharacteristic
687(C2×D11)⋊C4C2×D411yescharacteristic
688(C2×D11)⋊C4C2×D411yescharacteristic
689(C2×D11)⋊C4C2×D411yescharacteristic
690(C2×D11)⋊C4C2×D411yescharacteristic
691(C2×D11)⋊C4C2×D411yescharacteristic
692(C2×D11)⋊C4C2×D411yescharacteristic
693(C2×D11)⋊C4C2×D411yescharacteristic
694C4⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11—21no—
698C4⋊Dic11—21no—
699C4⋊Dic11—21no—
700C4⋊Dic11—21no—
701C4⋊Dic11—21no—
702C4⋊Dic11C2×D411yescharacteristic
703C4⋊Dic11C2×D411yescharacteristic
704C4⋊Dic11C2×D411yescharacteristic
705C4⋊Dic11C2×D411yescharacteristic
706C4⋊Dic11C2411yescharacteristic
707C4⋊Dic11C2411yescharacteristic
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715Dic11⋊C4—21no—
716C4×Dic11—21no—
717C4×Dic11—21no—
718C4×Dic11—21no—
719C2×C11⋊C8C2411yescharacteristic
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723Dic44—41no—
724Dic44—41no—
725D88—41no—
726D88—41no—
727#4314—41no—
728#4314—41no—
729#4314—41no—
730#4314—41no—
731#4313—41no—
732#4313—41no—
733#4313—41no—
734#4313—41no—
735C8×D11—41no—
736C8×D11—41no—
737C8×D11—41no—
738C8×D11—41no—
739#3505—111no—
740D4×#41—111no—
741#3327—111no—
742#3323—111no—
743#3320—111no—
744#3318—111no—
745#3317—111no—
746#3315—111no—
747#3301—111no—
748#3297—111no—
749#3285—111no—
750#3282—111no—
751#3275—111no—
752#3273—111no—
753#3270—111no—
754#3268—111no—
755#3267—111no—
756#3265—111no—
757#3219—111no—
758#3212—111no—
759#3197—111no—
760#3196—111no—
761#3191—111no—
762#3188—111no—
763#3111D1111yescharacteristic, complemented
764#3102—111no—
765#3006—111no—
766#3005—111no—
767#3002—111no—
768C2×#452—111no—
769#2974—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11C22×D411yescharacteristic
773C22×D11—22no—
774C22×D11—21no—
775C22×D11—21no—
776C22×D11—21no—
777C22×D11—41no—
778C22×D11—41no—
779C22×D11—41no—
780C22×D11—41no—
781C22×D11—41no—
782C22×D11—42no—
783C22×D11—42no—
784C22×D11—42no—
785C22×D11—42no—
786C22×D11—42no—
787C22×D11—81no—
788C22×D11—81no—
789C22×D11—81no—
790C22×D11—81no—
791C22×D11C22×D411yescharacteristic
792C22×D11C22×D411yescharacteristic
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11H(5,𝔽2)12yes—
799D4×C11—24no—
800D4×C11—21no—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—42no—
804D4×C11H(5,𝔽2)12yes—
805C2×C4×C11—24no—
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—21no—
814C2×C4×C11—41no—
815C2×C4×C11—41no—
816C2×C4×C11—42no—
817C2×C4×C11—81no—
818C2×C4×C11—81no—
819C2×C4×C11C22×D411yescharacteristic
820C2×C4×C11C22×D411yescharacteristic
821C2×C4×C11C22×D411yescharacteristic
822C2×C4×C11C22×D411yescharacteristic
823C2×C4×C11C22×D411yescharacteristic
824C2×C4×C11C2511yescharacteristic
825C22⋊D11—42no—
826C22⋊D11—42no—
827C22⋊D11—42no—
828C22⋊D11—42no—
829C22⋊D11—42no—
830C22⋊D11—42no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—81no—
834C22⋊D11—81no—
835C22⋊D11—81no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—41no—
842C2×Dic11—41no—
843C2×Dic11—42no—
844C2×Dic11—42no—
845C2×Dic11—81no—
846C2×Dic11C22×D411yescharacteristic
847C2×Dic11C22×D411yescharacteristic
848C2×Dic11C22×D411yescharacteristic
849C2×Dic11C22×D411yescharacteristic
850D44—22no—
851D44—22no—
852D44—21no—
853D44—21no—
854D44—21no—
855D44—21no—
856D44—21no—
857D44—21no—
858D44—41no—
859D44—41no—
860D44—42no—
861D44—42no—
862D44—42no—
863D44—42no—
864D44—42no—
865D44—42no—
866D44—81no—
867D44—81no—
868D44—81no—
869D44—81no—
870D44—81no—
871C4×D11—21no—
872C4×D11—21no—
873C4×D11—21no—
874C4×D11—21no—
875C4×D11—21no—
876C4×D11—21no—
877C4×D11—21no—
878C4×D11—21no—
879C4×D11—41no—
880C4×D11—41no—
881C4×D11—41no—
882C4×D11—41no—
883C4×D11—42no—
884C4×D11—42no—
885C4×D11—42no—
886C4×D11—42no—
887C4×D11—42no—
888C4×D11—42no—
889C4×D11—42no—
890C4×D11—81no—
891C4×D11—81no—
892C4×D11—81no—
893C4×D11—81no—
894Dic22—21no—
895Dic22—21no—
896Dic22—21no—
897Dic22—21no—
898Dic22—21no—
899Dic22—21no—
900Dic22—42no—
901Dic22—42no—
902Dic22—81no—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C8×C11—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C11⋊C8—21no—
911C22×#41—111no—
912C22×#41—111no—
913C2×#137—111no—
914C2×AGL(1,ℤ/8)—111no—
915C2×AGL(1,ℤ/8)—111no—
916C2×AGL(1,ℤ/8)—111no—
917C2×#135—111no—
918C2×#135—111no—
919C22×Q16—111no—
920C22×SD16—111no—
921#553—111no—
922#553—111no—
923#553—221no—
924#553—221no—
925#552—111no—
926#552—111no—
927#551—221no—
928#551—221no—
929#550—111no—
930D4×Q8—111no—
931#548—111no—
932#548—111no—
933#548—111no—
934#548—111no—
935#547—111no—
936#547—221no—
937#546—111no—
938#546—111no—
939#546—111no—
940#546—111no—
941#546—221no—
942#546—221no—
943D42—111no—
944D42—221no—
945#539—221no—
946#538—221no—
947#534—221no—
948#532—111no—
949#532—221no—
950#529—111no—
951#529C2×D1111yescharacteristic, complemented
952#525—111no—
953#525—111no—
954#525—111no—
955#525—111no—
956#525—221no—
957#525—221no—
958C2×C22⋊Q8—111no—
959C2×#121—111no—
960#518—221no—
961C4×#41C2×D1111yescharacteristic, complemented
962C2×C4×D4—111no—
963C2×C4×D4—221no—
964#497—111no—
965#496—111no—
966#495—111no—
967#495—111no—
968#491—111no—
969#490—111no—
970#488—111no—
971#488—111no—
972#485—111no—
973#485—111no—
974#485—111no—
975#485C2×D1111yescharacteristic, complemented
976#484—111no—
977#484—111no—
978#482—111no—
979#482—111no—
980#482—111no—
981#482C2×D1111yescharacteristic, complemented
982#481—111no—
983#481—111no—
984#479—111no—
985#479C2×D1111yescharacteristic, complemented
986#478—111no—
987#478C2×D1111yescharacteristic, complemented
988#470—111no—
989#470—111no—
990#470—111no—
991#469—111no—
992#468—111no—
993#468—111no—
994#468—111no—
995#468—111no—
996#467—111no—
997#466—111no—
998#466—111no—
999#466—111no—
1000#465—111no—
1001#465—111no—
1002#465—111no—
1003#465—111no—
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#464C2×D1111yescharacteristic, complemented
1008#463—111no—
1009#463—111no—
1010#463—111no—
1011#463C2×D1111yescharacteristic, complemented
1012#462—111no—
1013#461—111no—
1014#460—111no—
1015#459—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#452—111no—
1020#452—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452—111no—
1026#452—111no—
1027#452—111no—
1028#452—111no—
1029#452C2×D1111yescharacteristic, complemented
1030#451—111no—
1031#451—111no—
1032#450—111no—
1033#450—111no—
1034#449—111no—
1035#449—111no—
1036#449—111no—
1037#449—111no—
1038#449—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449C2×D1111yescharacteristic
1044#448—111no—
1045#448—111no—
1046#448—111no—
1047#448—111no—
1048#447—111no—
1049#447—111no—
1050#447—111no—
1051#447—111no—
1052#442C2×D1111yescharacteristic, complemented
1053#441C2×D1111yescharacteristic, complemented
1054#440C2×D1111yescharacteristic, complemented
1055#440C2×D1111yescharacteristic, complemented
1056C4×Q16—111no—
1057C4×SD16—111no—
1058C4×SD16—111no—
1059C4×D8—111no—
1060#436—111no—
1061#436—111no—
1062#435—111no—
1063#435—111no—
1064#435—111no—
1065#435—111no—
1066C8×D4—111no—
1067C8×D4—111no—
1068#432C2×D1111yescharacteristic, complemented
1069#431—111no—
1070#419—111no—
1071#418—111no—
1072#417—111no—
1073#417—111no—
1074#416—111no—
1075#416—111no—
1076C2×#103—111no—
1077C2×#102—111no—
1078#407—111no—
1079#407—111no—
1080C2×C22⋊C8—111no—
1081C2×C22⋊C8—111no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—22no—
1085C22×C11—21no—
1086C22×C11—41no—
1087C22×C11—41no—
1088C22×C11—41no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11C23×D411yescharacteristic
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—21no—
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—21no—
1099C2×D11—21no—
1100C2×D11—21no—
1101C2×D11—21no—
1102C2×D11—21no—
1103C2×D11—41no—
1104C2×D11—41no—
1105C2×D11—41no—
1106C2×D11—41no—
1107C2×D11—41no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—82no—
1113C2×D11—84no—
1114C2×D11—82no—
1115C2×D11—84no—
1116C2×D11—162no—
1117C2×D11#57512yes—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—22no—
1122C4×C11—21no—
1123C4×C11—21no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11—41no—
1127C4×C11—41no—
1128C4×C11—41no—
1129C4×C11C2×H(5,𝔽2)11yescharacteristic
1130C4×C11C2×H(5,𝔽2)11yescharacteristic
1131Dic11—21no—
1132Dic11—21no—
1133Dic11—21no—
1134Dic11—21no—
1135Dic11—41no—
1136Dic11—41no—
1137Dic11—41no—
1138Dic11—41no—
1139Dic11—41no—
1140C2×#41—111no—
1141C2×#41—111no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—111no—
1148C2×#41—221no—
1149C2×#41—221no—
1150C2×#41—221no—
1151C2×#41—221no—
1152C2×#41—442no—
1153C2×#41—442no—
1154C2×#41—442no—
1155C2×#41—442no—
1156C2×#41C22×D1111yescharacteristic
1157C22×Q8—111no—
1158C22×Q8—111no—
1159C22×Q8—111no—
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—111no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C22×D4—221no—
1168C23×C4—111no—
1169C23×C4—111no—
1170C23×C4—221no—
1171C23×C4—221no—
1172#137—442no—
1173AGL(1,ℤ/8)—442no—
1174AGL(1,ℤ/8)—442no—
1175AGL(1,ℤ/8)—442no—
1176#135—442no—
1177#135—442no—
1178C2×Q16—111no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16—111no—
1183C2×Q16—442no—
1184C2×Q16C22×D1111yescharacteristic
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—111no—
1194C2×SD16—111no—
1195C2×SD16—442no—
1196C2×SD16C22×D1111yescharacteristic
1197C2×SD16C22×D1111yescharacteristic
1198C2×D8—111no—
1199C2×D8—111no—
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8—111no—
1203C2×D8C22×D1111yescharacteristic
1204C2×M16—111no—
1205C2×M16—111no—
1206C2×M16—111no—
1207C2×M16—111no—
1208C22×C8—111no—
1209C22×C8—111no—
1210C22×C8—111no—
1211C22×C8—111no—
1212C4⋊Q8—111no—
1213C4⋊Q8—221no—
1214#127—111no—
1215#127—221no—
1216#126—21no—
1217#126—221no—
1218#126—221no—
1219#126—221no—
1220#126—221no—
1221#126—221no—
1222#125—111no—
1223#125—221no—
1224#125—221no—
1225#125C22×D1111yescharacteristic
1226#124—111no—
1227#124—111no—
1228#124—111no—
1229#124—221no—
1230#124—221no—
1231#124—221no—
1232#124—221no—
1233#124C22×D1111yescharacteristic
1234#123—21no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
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—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—111no—
1253C22⋊Q8—111no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8C22×D1111yescharacteristic
1268#121—111no—
1269#121—111no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—221no—
1278#121—221no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121C22×D1111yescharacteristic
1296#120—221no—
1297#120—221no—
1298#120—221no—
1299#120—221no—
1300#120—221no—
1301#120—221no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306C4×Q8—111no—
1307C4×Q8C22×D1111yescharacteristic
1308C4×Q8C22×D1111yescharacteristic
1309C4×Q8C22×D1111yescharacteristic
1310C4×D4—21no—
1311C4×D4—21no—
1312C4×D4—21no—
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—111no—
1321C4×D4—111no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332C4×D4—221no—
1333C4×D4—221no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4—221no—
1338C4×D4—221no—
1339C4×D4—221no—
1340C4×D4—221no—
1341C4×D4C22×D1111yescharacteristic
1342C4×D4C22×D1111yescharacteristic
1343C4×D4C22×D1111yescharacteristic
1344#117—21no—
1345#117—21no—
1346#117—111no—
1347#117—111no—
1348#117—221no—
1349#117—221no—
1350#117—221no—
1351#117C22×D1111yescharacteristic
1352C2×C4⋊C4—111no—
1353C2×C4⋊C4—111no—
1354C2×C4⋊C4—111no—
1355C2×C4⋊C4—221no—
1356C2×C4⋊C4—221no—
1357C2×C22⋊C4—111no—
1358C2×C22⋊C4—111no—
1359C2×C22⋊C4—221no—
1360C2×C22⋊C4—221no—
1361C2×C22⋊C4—221no—
1362C2×C22⋊C4—221no—
1363C2×C22⋊C4—221no—
1364C2×C22⋊C4—221no—
1365C2×C42—21no—
1366C2×C42C22×D1111yescharacteristic
1367#107—111no—
1368#107—111no—
1369#107C22×D1111yescharacteristic
1370#107C22×D1111yescharacteristic
1371#106—111no—
1372#106—111no—
1373#106C22×D1111yescharacteristic
1374#106C22×D1111yescharacteristic
1375C4⋊C8—111no—
1376C4⋊C8—111no—
1377C4⋊C8C22×D1111yescharacteristic
1378C4⋊C8C22×D1111yescharacteristic
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103—111no—
1390#103—111no—
1391#103C22×D1111yescharacteristic
1392#103C22×D1111yescharacteristic
1393#103C22×D1111yescharacteristic
1394#103C22×D1111yescharacteristic
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102—111no—
1405#102—111no—
1406#102—111no—
1407#102C22×D1111yescharacteristic
1408#102C22×D1111yescharacteristic
1409#102C22×D1111yescharacteristic
1410#102C22×D1111yescharacteristic
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8—111no—
1416C22⋊C8—111no—
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8C22×D1111yescharacteristic
1422C22⋊C8C22×D1111yescharacteristic
1423#97C22×D1111yescharacteristic
1424#97C22×D1111yescharacteristic
1425C4×C8—111no—
1426C4×C8—111no—
1427C2×C11—41no—
1428C2×C11—42no—
1429C2×C11—81no—
1430C2×C11#348411yescharacteristic
1431C2×C11C2×#57511yescharacteristic
1432C2×C11#358411yescharacteristic
1433D11—22no—
1434D11—41no—
1435D11—41no—
1436D11—41no—
1437D11—81no—
1438D11—81no—
1439D11—81no—
1440C24—111no—
1441C24—111no—
1442C24—221no—
1443C24—221no—
1444C24—221no—
1445#41—22no—
1446#41—22no—
1447#41—222no—
1448#41—222no—
1449#41—222no—
1450#41—222no—
1451#41—441no—
1452#41—441no—
1453#41—441no—
1454#41—441no—
1455#41—444no—
1456#41—444no—
1457#41—441no—
1458#41—441no—
1459#41—441no—
1460#41—441no—
1461#41—441no—
1462#41—441no—
1463#41—441no—
1464#41—441no—
1465#41—444no—
1466#41—444no—
1467C2×Q8—111no—
1468C2×Q8—111no—
1469C2×Q8—111no—
1470C2×Q8—221no—
1471C2×Q8—221no—
1472C2×Q8—221no—
1473C2×Q8—222no—
1474C2×Q8—222no—
1475C2×Q8—441no—
1476C2×Q8—441no—
1477C2×Q8—441no—
1478C2×Q8—441no—
1479C2×Q8C23×D1111yescharacteristic
1480C2×Q8C23×D1111yescharacteristic
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—111no—
1486C2×D4—111no—
1487C2×D4—111no—
1488C2×D4—111no—
1489C2×D4—111no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—222no—
1503C2×D4—222no—
1504C2×D4—221no—
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—221no—
1514C2×D4—442no—
1515C2×D4—444no—
1516C2×D4—441no—
1517C2×D4—441no—
1518C2×D4—441no—
1519C2×D4—441no—
1520C2×D4—444no—
1521C2×D4—444no—
1522C2×D4—444no—
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—111no—
1535C22×C4—111no—
1536C22×C4—111no—
1537C22×C4—111no—
1538C22×C4—111no—
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×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—221no—
1553C22×C4—441no—
1554C22×C4—441no—
1555C22×C4—441no—
1556C22×C4—441no—
1557C22×C4—444no—
1558C22×C4—444no—
1559C22×C4D4×D1111yescharacteristic
1560C22×C4D4×D1111yescharacteristic
1561C22×C4C23×D1111yescharacteristic
1562Q16—22no—
1563Q16—222no—
1564Q16—441no—
1565Q16—441no—
1566Q16—441no—
1567Q16—441no—
1568SD16—22no—
1569SD16—22no—
1570SD16—222no—
1571SD16—222no—
1572SD16—441no—
1573SD16—441no—
1574SD16—441no—
1575SD16—441no—
1576SD16—441no—
1577SD16—441no—
1578SD16—441no—
1579SD16—441no—
1580D8—22no—
1581D8—222no—
1582D8—441no—
1583D8—441no—
1584D8—441no—
1585D8—441no—
1586M16—441no—
1587M16—441no—
1588M16—441no—
1589M16—441no—
1590C2×C8—111no—
1591C2×C8—111no—
1592C2×C8—111no—
1593C2×C8—111no—
1594C2×C8—441no—
1595C2×C8—441no—
1596C2×C8—441no—
1597C2×C8—441no—
1598C2×C8C23×D1111yescharacteristic
1599C2×C8C23×D1111yescharacteristic
1600C2×C8C23×D1111yescharacteristic
1601C2×C8C23×D1111yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—111no—
1609C4⋊C4—111no—
1610C4⋊C4—111no—
1611C4⋊C4—111no—
1612C4⋊C4—111no—
1613C4⋊C4—111no—
1614C4⋊C4—221no—
1615C4⋊C4—221no—
1616C4⋊C4—221no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4—221no—
1625C4⋊C4—221no—
1626C4⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4—221no—
1630C4⋊C4C23×D1111yescharacteristic
1631C4⋊C4C23×D1111yescharacteristic
1632C4⋊C4C23×D1111yescharacteristic
1633C4⋊C4C23×D1111yescharacteristic
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—111no—
1643C22⋊C4—111no—
1644C22⋊C4—111no—
1645C22⋊C4—111no—
1646C22⋊C4—111no—
1647C22⋊C4—111no—
1648C22⋊C4—111no—
1649C22⋊C4—111no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4—221no—
1676C22⋊C4—221no—
1677C42—21no—
1678C42—21no—
1679C42—21no—
1680C42—21no—
1681C42—221no—
1682C42—221no—
1683C42—221no—
1684C42D4×D1111yescharacteristic
1685C42D4×D1111yescharacteristic
1686C42C23×D1111yescharacteristic
1687C42C23×D1111yescharacteristic
1688C11#6160611yescharacteristic, complemented, Sylow
1689C23—21no—
1690C23—21no—
1691C23—111no—
1692C23—111no—
1693C23—111no—
1694C23—111no—
1695C23—222no—
1696C23—221no—
1697C23—221no—
1698C23—221no—
1699C23—441no—
1700C23—441no—
1701C23—441no—
1702C23—441no—
1703C23—441no—
1704C23—442no—
1705C23—442no—
1706C23—442no—
1707C23—442no—
1708C23—442no—
1709C23—881no—
1710C23—881no—
1711C23—881no—
1712C23—881no—
1713C23C2×D4×D1111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—221no—
1718Q8—221no—
1719Q8—221no—
1720Q8—221no—
1721Q8—221no—
1722Q8—221no—
1723Q8—442no—
1724Q8—442no—
1725Q8—881no—
1726Q8#6704212yes—
1727D4—24no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—42no—
1732D4—222no—
1733D4—222no—
1734D4—221no—
1735D4—221no—
1736D4—221no—
1737D4—221no—
1738D4—221no—
1739D4—221no—
1740D4—441no—
1741D4—441no—
1742D4—442no—
1743D4—442no—
1744D4—442no—
1745D4—442no—
1746D4—442no—
1747D4—442no—
1748D4—442no—
1749D4—442no—
1750D4—442no—
1751D4—442no—
1752D4—442no—
1753D4—442no—
1754D4—442no—
1755D4—442no—
1756D4—881no—
1757D4—881no—
1758D4—881no—
1759D4—881no—
1760D4—881no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4#6704212yes—
1765C2×C4—24no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—42no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—111no—
1780C2×C4—111no—
1781C2×C4—111no—
1782C2×C4—111no—
1783C2×C4—221no—
1784C2×C4—221no—
1785C2×C4—221no—
1786C2×C4—221no—
1787C2×C4—221no—
1788C2×C4—221no—
1789C2×C4—221no—
1790C2×C4—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—441no—
1797C2×C4—441no—
1798C2×C4—441no—
1799C2×C4—441no—
1800C2×C4—442no—
1801C2×C4—442no—
1802C2×C4—442no—
1803C2×C4—442no—
1804C2×C4—442no—
1805C2×C4—442no—
1806C2×C4—442no—
1807C2×C4—441no—
1808C2×C4—441no—
1809C2×C4—442no—
1810C2×C4—442no—
1811C2×C4—881no—
1812C2×C4—881no—
1813C2×C4—881no—
1814C2×C4—881no—
1815C2×C4—881no—
1816C2×C4C2×D4×D1111yescharacteristic
1817C2×C4C2×D4×D1111yescharacteristic
1818C2×C4C2×D4×D1111yescharacteristic
1819C2×C4C2×D4×D1111yescharacteristic
1820C2×C4C2×D4×D1111yescharacteristic
1821C2×C4C24×D1111yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—221no—
1827C8—221no—
1828C8—221no—
1829C8—221no—
1830C22—21no—
1831C22—22no—
1832C22—21no—
1833C22—21no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—112no—
1840C22—221no—
1841C22—221no—
1842C22—221no—
1843C22—221no—
1844C22—221no—
1845C22—221no—
1846C22—221no—
1847C22—221no—
1848C22—221no—
1849C22—221no—
1850C22—221no—
1851C22—441no—
1852C22—441no—
1853C22—441no—
1854C22—441no—
1855C22—441no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—882no—
1861C22—884no—
1862C22—882no—
1863C22—884no—
1864C22—1762no—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—221no—
1878C4—221no—
1879C4—221no—
1880C4—221no—
1881C4—441no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4C2×#6704211yescharacteristic
1887C4C2×#6704211yescharacteristic
1888C2—41no—
1889C2—42no—
1890C2—81no—
1891C2—222no—
1892C2—441no—
1893C2—441no—
1894C2—441no—
1895C2—881no—
1896C2—881no—
1897C2—881no—
1898C2#1308224911yescharacteristic
1899C2D11×#57511yescharacteristic
1900C2#1308338911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3111C2
socleC22×C11C23×D4
hypercenter#3111D11
hypocenterC11#61606
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #13082451C2semidirect
2. #41×D44C2semidirect
3. #13080881C2semidirect
4. #13080829C2semidirect
5. #13080792C2semidirect
6. #13080762C2semidirect
7. #13080747C2semidirect
8. #13080717C2semidirect
9. #13080515C2semidirect
10. #13080463C2semidirect
11. #13080352C2semidirect
12. #13080329C2semidirect
13. #13080242C2semidirect
14. #13080222C2semidirect
15. #13080188C2semidirect
16. #13080158C2semidirect
17. #13080143C2semidirect
18. #13080113C2semidirect
19. #13079655C2semidirect
20. #13079588C2semidirect
21. #13079456C2semidirect
22. #13079450C2semidirect
23. #13079411C2semidirect
24. #13079385C2semidirect
25. #13078634C2semidirect
26. #13077865C2semidirect
27. #13077859C2semidirect
28. #13077831C2semidirect
29. D11×#452C2semidirect
30. #13077653C2semidirect
31. C11×#3111C2semidirect
33. C2×#41×D11C22semidirect
34. C11×#529C22semidirect
35. C4×C11×#41C22semidirect
36. C2×#66971C22semidirect
37. C2×Q16×D11C22semidirect
38. C2×#66969C22semidirect
39. C2×#66967C22semidirect
40. C2×#66967C22semidirect
41. C2×SD16×D11C22semidirect
42. C2×#66965C22semidirect
43. C2×#66964C22semidirect
46. #10623226C22semidirect
47. #10623225C22semidirect
48. #10623208C22semidirect
49. #10623207C22semidirect
52. #10623158C22semidirect
53. D11×C22⋊Q8C22semidirect
54. #10623137C22semidirect
55. D11×#121C22semidirect
56. #10623112C22semidirect
60. #10623107C22semidirect
61. Q8×D44C22semidirect
69. #10623085C22semidirect
70. #10623085C22semidirect
72. D4×D44C22semidirect
79. #10623055C22semidirect
80. #10623010C22semidirect
82. #10623008C22semidirect
85. C11×#485C22semidirect
86. C11×#482C22semidirect
87. C11×#479C22semidirect
88. C11×#478C22semidirect
89. C11×#464C22semidirect
90. C11×#463C22semidirect
91. C11×#452C22semidirect
93. C11×#442C22semidirect
94. C11×#441C22semidirect
95. C11×#440C22semidirect
96. C11×#440C22semidirect
97. C11×#432C22semidirect
98. #10622852C22semidirect
100. #10622800C22semidirect
101. #10622800C22semidirect
102. #10622786C22semidirect
103. #10622786C22semidirect
104. #10622783C22semidirect
105. #10622783C22semidirect
106. #10622769C22semidirect
107. #10622769C22semidirect
108. #10622681C22semidirect
109. #10622681C22semidirect
110. #10622672C22semidirect
111. #10622672C22semidirect
112. #10622660C22semidirect
113. #10622660C22semidirect
114. #10622650C22semidirect
115. #10622650C22semidirect
116. #10622644C22semidirect
117. C4×#4326C22semidirect
118. #10622641C22semidirect
119. #10622640C22semidirect
120. C4×#4325C22semidirect
121. #10622635C22semidirect
122. #10622632C22semidirect
123. C4×#4324C22semidirect
124. #10622629C22semidirect
125. #10622628C22semidirect
126. C4×#4323C22semidirect
127. #10622622C22semidirect
128. #10622616C22semidirect
129. #10622609C22semidirect
130. #10622538C22semidirect
131. #10622501C22semidirect
132. #10622501C22semidirect
133. #10622499C22semidirect
134. #10622499C22semidirect
135. #10622497C22semidirect
136. #10622497C22semidirect
137. #10622496C22semidirect
138. #10622496C22semidirect
139. #10622481C22semidirect
140. #10622481C22semidirect
141. #10622479C22semidirect
142. #10622479C22semidirect
143. #10622477C22semidirect
144. #10622477C22semidirect
145. #10622476C22semidirect
146. #10622476C22semidirect
147. #10622458C22semidirect
148. #10622458C22semidirect
149. #10622457C22semidirect
150. #10622457C22semidirect
151. #10622451C22semidirect
152. #10622451C22semidirect
153. #10622447C22semidirect
154. #10622447C22semidirect
155. #10622429C22semidirect
156. #10622426C22semidirect
157. #10622425C22semidirect
158. #10622424C22semidirect
159. #10622424C22semidirect
160. #10622423C22semidirect
161. #10622423C22semidirect
162. #10622421C22semidirect
163. #10622421C22semidirect
164. #10622420C22semidirect
165. #10622419C22semidirect
166. #10622419C22semidirect
167. #10622417C22semidirect
168. #10622416C22semidirect
169. #10622415C22semidirect
170. D11×#103C22semidirect
171. #10622396C22semidirect
172. #10622396C22semidirect
173. #10622395C22semidirect
174. #10622394C22semidirect
175. #10622394C22semidirect
176. #10622393C22semidirect
177. #10622391C22semidirect
178. #10622389C22semidirect
179. #10622389C22semidirect
180. #10622388C22semidirect
181. #10622386C22semidirect
182. #10622386C22semidirect
183. #10622385C22semidirect
184. #10622384C22semidirect
185. #10622383C22semidirect
186. D11×#102C22semidirect
187. #10622347C22semidirect
188. #10622347C22semidirect
189. #10622346C22semidirect
190. #10622346C22semidirect
191. #10622339C22semidirect
192. #10622339C22semidirect
193. D11×C22⋊C8C22semidirect
194. D11×C22⋊C8C22semidirect
195. #10622328C22semidirect
196. #10622326C22semidirect
197. #10622325C22semidirect
198. #10622319C22semidirect
199. #10622319C22semidirect
200. #10622319C22semidirect
201. #10622319C22semidirect
202. #10622316C22semidirect
763. #3111D11semidirect
951. #529C2×D11semidirect
961. C4×#41C2×D11semidirect
975. #485C2×D11semidirect
981. #482C2×D11semidirect
985. #479C2×D11semidirect
987. #478C2×D11semidirect
1007. #464C2×D11semidirect
1011. #463C2×D11semidirect
1029. #452C2×D11semidirect
1052. #442C2×D11semidirect
1053. #441C2×D11semidirect
1054. #440C2×D11semidirect
1055. #440C2×D11semidirect
1068. #432C2×D11semidirect
1688. C11#61606semidirect

Maximal subgroups

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

subgroupindex
#130824512
#41×D442
#130808812
#130808292
#130807922
#130807622
#130807472
#130807172
#130805152
#130804632
#130803522
#130803292
#130802422
#130802222
#130801882
#130801582
#130801432
#130801132
#130796552
#130795882
#130794562
#130794502
#130794112
#130793852
#130786342
#130778652
#130778592
#130778312
D11×#4522
#130776532
C11×#31112
#6160611