Finite Group Databasebeta

← #15639742

Subgroups — #15639742

Order 2816.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082867C211yesmaximal, characteristic, complemented
2#13082295C211yesmaximal, characteristic, complemented
3#13080839C211yesmaximal, characteristic, complemented
4#13080812C211yesmaximal, characteristic, complemented
5#13080791C211yesmaximal, characteristic, complemented
6#13080714C211yesmaximal, characteristic, complemented
7#13080672C211yesmaximal, characteristic, complemented
8#13080598C211yesmaximal, characteristic, complemented
9#13080511C211yesmaximal, characteristic, complemented
10#13080503C211yesmaximal, characteristic, complemented
11#13080346C211yesmaximal, characteristic, complemented
12#13080331C211yesmaximal, characteristic, complemented
13#13080285C211yesmaximal, characteristic, complemented
14#13080256C211yesmaximal, characteristic, complemented
15#13080171C211yesmaximal, characteristic, complemented
16#13080155C211yesmaximal, characteristic, complemented
17#13080134C211yesmaximal, characteristic, complemented
18#13079696C211yesmaximal, characteristic, complemented
19#13079672C211yesmaximal, characteristic, complemented
20#13079527C211yesmaximal, characteristic, complemented
21#13079515C211yesmaximal, characteristic, complemented
22#13079444C211yesmaximal, characteristic, complemented
23#13079392C211yesmaximal, characteristic, complemented
24#13078828C211yesmaximal, characteristic, complemented
25#13078814C211yesmaximal, characteristic, complemented
26#13077930C211yesmaximal, characteristic, complemented
27#13077926C211yesmaximal, characteristic, complemented
28#13077854C211yesmaximal, characteristic, complemented
29#13077830C211yesmaximal, characteristic, complemented
30#13077665C211yesmaximal, characteristic, complemented
31C11×#3271C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#67040C2211yescharacteristic
34C2×C11×#137C2211yescharacteristic, complemented
35C2×C11×#135C2211yescharacteristic
36C11×#550C2211yescharacteristic, complemented
37C11×#548C2211yescharacteristic
38#10623364C2211yescharacteristic, complemented
39#10623362C2211yescharacteristic
40#10623359C2211yescharacteristic
41#10623355C2211yescharacteristic
42#10623355C2211yescharacteristic, complemented
43C2×#67003C2211yescharacteristic
44C2×#67003C2211yescharacteristic, complemented
45Q8×C22⋊D11C2211yescharacteristic
46C2×#66969C2211yescharacteristic, complemented
47C2×#66968C2211yescharacteristic
48C2×#66968C2211yescharacteristic, complemented
49C2×#66964C2211yescharacteristic
50#10623251—21no—
51#10623250—21no—
52#10623250C2211yescharacteristic, complemented
53#10623249C2211yescharacteristic
54#10623207—21no—
55#10623207C2211yescharacteristic
56#10623206—21no—
57#10623206C2211yescharacteristic
58#10623162—21no—
59#10623162C2211yescharacteristic
60D11×C22⋊Q8—21no—
61D11×C22⋊Q8C2211yescharacteristic
62#10623151—21no—
63#10623149C2211yescharacteristic
64#10623146—21no—
65#10623145C2211yescharacteristic, complemented
66#10623143—21no—
67#10623143C2211yescharacteristic
68#10623139—21no—
69#10623139C2211yescharacteristic
70#10623139C2211yescharacteristic, complemented
71#10623137C2211yescharacteristic
72#10623133—21no—
73#10623132—21no—
74#10623114C2211yescharacteristic, complemented
75#10623112C2211yescharacteristic
76Q8×D44C2211yescharacteristic
77#10623105C2211yescharacteristic
78#10623095—21no—
79#10623082—21no—
80#10623082C2211yescharacteristic
81#10623078—21no—
82#10623078C2211yescharacteristic
83#10623072C2211yescharacteristic, complemented
84#10623071—21no—
85C11×#496C2211yescharacteristic, complemented
86C11×#469C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#460C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#449C2211yescharacteristic
92C11×#449C2211yescharacteristic, complemented
93C11×#448C2211yescharacteristic, complemented
94C11×#441C2211yescharacteristic, complemented
95C11×#435C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic
97#10622852C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622846C2211yescharacteristic
100#10622841C2211yescharacteristic, complemented
101C2×#66899C2211yescharacteristic, complemented
102#10622802C2211yescharacteristic
103#10622800C2211yescharacteristic
104#10622800C2211yescharacteristic, complemented
105#10622799C2211yescharacteristic
106#10622799C2211yescharacteristic, complemented
107#10622799C2211yescharacteristic, complemented
108#10622795C2211yescharacteristic, complemented
109#10622794C2211yescharacteristic, complemented
110#10622787C2211yescharacteristic
111#10622787C2211yescharacteristic, complemented
112#10622786C2211yescharacteristic
113#10622786C2211yescharacteristic
114#10622785C2211yescharacteristic
115#10622785C2211yescharacteristic
116#10622785C2211yescharacteristic, complemented
117#10622783C2211yescharacteristic
118#10622783C2211yescharacteristic, complemented
119#10622783C2211yescharacteristic, complemented
120#10622783C2211yescharacteristic, complemented
121#10622782C2211yescharacteristic
122#10622780C2211yescharacteristic, complemented
123#10622777C2211yescharacteristic, complemented
124#10622775C2211yescharacteristic, complemented
125#10622775C2211yescharacteristic, complemented
126SD16×Dic11C2211yescharacteristic, complemented
127#10622771C2211yescharacteristic
128#10622771C2211yescharacteristic
129#10622771C2211yescharacteristic, complemented
130#10622770C2211yescharacteristic, complemented
131#10622769C2211yescharacteristic
132#10622766C2211yescharacteristic, complemented
133#10622766C2211yescharacteristic, complemented
134#10622750C2211yescharacteristic, complemented
135#10622746C2211yescharacteristic, complemented
136#10622742C2211yescharacteristic, complemented
137#10622741C2211yescharacteristic
138#10622729C2211yescharacteristic, complemented
139#10622726C2211yescharacteristic
140#10622724C2211yescharacteristic, complemented
141C2×(C2×D11)⋊C8C2211yescharacteristic
142#10622689C2211yescharacteristic, complemented
143#10622685C2211yescharacteristic, complemented
144#10622669C2211yescharacteristic, complemented
145#10622667C2211yescharacteristic, complemented
146#10622664C2211yescharacteristic, complemented
147#10622658C2211yescharacteristic, complemented
148#10622654C2211yescharacteristic, complemented
149#10622654C2211yescharacteristic, complemented
150#10622654C2211yescharacteristic, complemented
151#10622650C2211yescharacteristic
152#10622650C2211yescharacteristic, complemented
153#10622646C2211yescharacteristic, complemented
154#10622644C2211yescharacteristic, complemented
155C4×#4326C2211yescharacteristic, complemented
156C4×#4325C2211yescharacteristic, complemented
157#10622635C2211yescharacteristic, complemented
158D4×C11⋊C8C2211yescharacteristic, complemented
159#10622484C2211yescharacteristic, complemented
160#10622480C2211yescharacteristic
161#10622475C2211yescharacteristic, complemented
162#10622475C2211yescharacteristic, complemented
163#10622462C2211yescharacteristic, complemented
164#10622460C2211yescharacteristic, complemented
165#10622453C2211yescharacteristic, complemented
166#10622451C2211yescharacteristic
167#10622431C2211yescharacteristic, complemented
168#10622429C2211yescharacteristic
169#10622427C2211yescharacteristic
170#10622426C2211yescharacteristic, complemented
171#10622423C2211yescharacteristic
172#10622422C2211yescharacteristic, complemented
173#10622421C2211yescharacteristic, complemented
174#10622416C2211yescharacteristic, complemented
175#10622415C2211yescharacteristic
176D11×#103C2211yescharacteristic, complemented
177#10622410C2211yescharacteristic, complemented
178#10622409C2211yescharacteristic, complemented
179#10622398C2211yescharacteristic, complemented
180#10622396C2211yescharacteristic
181#10622396C2211yescharacteristic
182#10622396C2211yescharacteristic, complemented
183#10622393C2211yescharacteristic
184#10622393C2211yescharacteristic, complemented
185#10622390C2211yescharacteristic, complemented
186#10622390C2211yescharacteristic, complemented
187#10622387C2211yescharacteristic, complemented
188#10622383C2211yescharacteristic
189#10622381C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622346C2211yescharacteristic
192#10622346C2211yescharacteristic, complemented
193#10622343C2211yescharacteristic
194#10622340C2211yescharacteristic, complemented
195#10622339C2211yescharacteristic
196(C22⋊D11)⋊C8C2211yescharacteristic, complemented
197#10622336C2211yescharacteristic, complemented
198#10622335C2211yescharacteristic, complemented
199#10622323C2211yescharacteristic, complemented
200#10622322C2211yescharacteristic, complemented
201#10622319C2211yescharacteristic
202#10622316C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C22×Q8×C11C2311yescharacteristic
207#41×D11—42no—
208#41×D11—42no—
209#67040—42no—
210#67040—42no—
211C2×#4343—21no—
212C2×#4343C2311yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×Q8×D11—21no—
215C2×Q8×D11C2311yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×#4341—21no—
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×#4341C2311yescharacteristic
222C2×D4×D11—21no—
223C2×D4×D11C2311yescharacteristic
224C2×#4339—21no—
225C2×#4339—21no—
226C2×#4339—21no—
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C2×#4339C2311yescharacteristic
230C22×C4×D11—21no—
231C22×C4×D11C2311yescharacteristic
232C11×#137—42no—
233C11×#135—42no—
234C2×C11×Q16C2311yescharacteristic
235C2×C11×Q16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×SD16C2311yescharacteristic
239C2×C11×SD16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×D8C2311yescharacteristic
242C2×C11×D8C2311yescharacteristic
243C2×C11×M16C2311yescharacteristic
244C22×C8×C11C2311yescharacteristic
245C11×#127—21no—
246C11×#127C2311yescharacteristic
247C11×#124—21no—
248C11×#124C2311yescharacteristic
249C11×C22⋊Q8—21no—
250C11×C22⋊Q8C2311yescharacteristic
251C11×#121—21no—
252C11×#121—21no—
253C11×#121—21no—
254C11×#121C2311yescharacteristic
255C11×#121C2311yescharacteristic
256C11×#121C2311yescharacteristic
257C4×Q8×C11C2311yescharacteristic
258C4×Q8×C11C2311yescharacteristic
259C4×D4×C11—21no—
260C4×D4×C11—21no—
261C4×D4×C11C2311yescharacteristic
262#67003—42no—
263#67003—42no—
264#66999—21no—
265#66999C2311yescharacteristic
266#66999C2311yescharacteristic
267#66999C2311yescharacteristic
268#66999C2311yescharacteristic
269Q8×Dic11C2311yescharacteristic
270#66997—21no—
271#66997C2311yescharacteristic
272#66997C2311yescharacteristic
273C2×#4326C2311yescharacteristic
274C2×#4326C2311yescharacteristic
275C2×#4326C2311yescharacteristic
276C2×#4326C2311yescharacteristic
277C2×#4325C2311yescharacteristic
278#66993—21no—
279#66992—21no—
280#66992—21no—
281#66992—21no—
282#66992—21no—
283#66992—21no—
284#66992—21no—
285#66992—21no—
286#66992—21no—
287#66992—21no—
288#66992—21no—
289#66992—21no—
290#66992D411yescharacteristic
291#66991—21no—
292#66991—21no—
293#66991—21no—
294#66991—21no—
295#66991—21no—
296#66991—21no—
297#66991C2311yescharacteristic
298#66991C2311yescharacteristic
299#66991C2311yescharacteristic
300#66991C2311yescharacteristic
301#66991C2311yescharacteristic
302#66990—21no—
303#66990—21no—
304#66990—21no—
305#66990D411yescharacteristic
306#66989—21no—
307#66989C2311yescharacteristic
308#66988—21no—
309#66988—21no—
310#66988—21no—
311#66988—21no—
312#66988—21no—
313#66988—21no—
314#66988—21no—
315D4×Dic11—21no—
316D4×Dic11—21no—
317D4×Dic11—21no—
318D4×Dic11C2311yescharacteristic
319D4×Dic11C2311yescharacteristic
320C2×#4324C2311yescharacteristic
321C2×#4324C2311yescharacteristic
322C2×#4324C2311yescharacteristic
323C2×#4324C2311yescharacteristic
324C2×#4324C2311yescharacteristic
325C2×#4323C2311yescharacteristic
326C2×#4323C2311yescharacteristic
327#66983—21no—
328#66982—21no—
329#66982—21no—
330C4×C22⋊D11—21no—
331C4×C22⋊D11—21no—
332C4×C22⋊D11—21no—
333C4×C22⋊D11—21no—
334C4×C22⋊D11C2311yescharacteristic
335C4×C22⋊D11C2311yescharacteristic
336#66979C2311yescharacteristic
337C2×C4⋊Dic11C2311yescharacteristic
338#66977—21no—
339#66977—21no—
340#66977—21no—
341#66977C2311yescharacteristic
342#66977C2311yescharacteristic
343#66977C2311yescharacteristic
344#66977C2311yescharacteristic
345C2×Dic11⋊C4—21no—
346C2×Dic11⋊C4—21no—
347C22×C11⋊C8C2311yescharacteristic
348C22×C11⋊C8C2311yescharacteristic
349#66969—42no—
350#66968—42no—
351#66968—42no—
352#66964—42no—
353C2×Dic44C2311yescharacteristic
354C2×Dic44C2311yescharacteristic
355C2×#4314C2311yescharacteristic
356C2×#4313C2311yescharacteristic
357C2×#4313C2311yescharacteristic
358C2×#4313C2311yescharacteristic
359C2×C8×D11C2311yescharacteristic
360#66951—21no—
361#66950—21no—
362#66950—21no—
363#66950C2311yescharacteristic
364#66950C2311yescharacteristic
365#66950C2311yescharacteristic
366#66949—21no—
367#66949D411yescharacteristic
368#66947—21no—
369#66947—21no—
370#66947D411yescharacteristic
371#66946—21no—
372#66946C2311yescharacteristic
373#66945C2311yescharacteristic
374C4⋊C4×D11—21no—
375C4⋊C4×D11—21no—
376C4⋊C4×D11—21no—
377C4⋊C4×D11—21no—
378C4⋊C4×D11C2311yescharacteristic
379C4⋊C4×D11C2311yescharacteristic
380#66943C2311yescharacteristic
381#66942—21no—
382#66942—21no—
383#66942—21no—
384#66939—21no—
385#66937—21no—
386#66937—21no—
387#66937—21no—
388#66937—21no—
389#66937D411yescharacteristic
390#66936—21no—
391#66936—21no—
392#66936—21no—
393#66936—21no—
394#66936—21no—
395#66936—21no—
396#66936—21no—
397#66936—21no—
398#66936D411yescharacteristic
399#66935—21no—
400#66935D411yescharacteristic
401(C22⋊D11)⋊C4—21no—
402(C22⋊D11)⋊C4—21no—
403C22⋊C4×D11—21no—
404C22⋊C4×D11—21no—
405C22⋊C4×D11—21no—
406#66932—21no—
407#66932—21no—
408#66932—21no—
409#66931—21no—
410#66931—21no—
411#66931—21no—
412#66931—21no—
413#66931—21no—
414#66931D411yescharacteristic
415#66930—21no—
416#66929—21no—
417#66929—21no—
418C4×D44—21no—
419C4×D44—21no—
420C4×D44C2311yescharacteristic
421C4×D44C2311yescharacteristic
422#66925—21no—
423#66925—21no—
424#66925C2311yescharacteristic
425#66923—21no—
426#66923C2311yescharacteristic
427#66922—21no—
428#66922C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#106C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×#97C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466#66882C2311yescharacteristic
467#66882C2311yescharacteristic
468#66881C2311yescharacteristic
469#66880C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66879C2311yescharacteristic
477Dic11⋊C8C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479C8×Dic11C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66874C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61626—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11C2×D411yescharacteristic
493C11×#41—22no—
494C11×#41—41no—
495C11×#41—41no—
496C11×#41—41no—
497C11×#41—41no—
498C11×#41—41no—
499C2×Q8×C11—21no—
500C2×Q8×C11—22no—
501C2×Q8×C11—41no—
502C2×Q8×C11C2411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×Q8×C11C2411yescharacteristic
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—21no—
512C2×D4×C11—21no—
513C2×D4×C11C2×D411yescharacteristic
514C2×D4×C11C2411yescharacteristic
515C2×D4×C11C2411yescharacteristic
516C2×D4×C11C2411yescharacteristic
517C22×C4×C11—21no—
518C22×C4×C11—21no—
519C22×C4×C11—21no—
520C22×C4×C11—21no—
521C22×C4×C11C2411yescharacteristic
522C22×C4×C11C2411yescharacteristic
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11C2×D411yescharacteristic
535C2×C22⋊D11C2×D411yescharacteristic
536C2×C22⋊D11C2×D411yescharacteristic
537C2×C22⋊D11C2×D411yescharacteristic
538C22×Dic11—21no—
539C22×Dic11—21no—
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11—21no—
544C22×Dic11C2×D411yescharacteristic
545#4343—22no—
546#4343—22no—
547#4343—22no—
548#4343—41no—
549#4343—44no—
550Q8×D11—22no—
551Q8×D11—22no—
552Q8×D11—41no—
553Q8×D11—41no—
554Q8×D11—41no—
555Q8×D11—41no—
556Q8×D11—44no—
557#4341—41no—
558#4341—41no—
559#4341—41no—
560#4341—41no—
561#4341—41no—
562#4341—41no—
563#4341—44no—
564D4×D11—22no—
565D4×D11—41no—
566D4×D11—44no—
567#4339—22no—
568#4339—22no—
569#4339—41no—
570#4339—41no—
571#4339—41no—
572#4339—41no—
573#4339—44no—
574#4339—44no—
575#4339—44no—
576C2×D44—21no—
577C2×D44—21no—
578C2×D44C2×D411yescharacteristic
579C2×D44C2×D411yescharacteristic
580C2×D44C2411yescharacteristic
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—41no—
593C2×C4×D11—41no—
594C2×C4×D11—44no—
595C2×C4×D11C2×D411yescharacteristic
596C2×C4×D11C2×D411yescharacteristic
597C2×C4×D11C2411yescharacteristic
598C2×C4×D11C2411yescharacteristic
599C2×C4×D11C2411yescharacteristic
600C2×Dic22—21no—
601C2×Dic22—21no—
602C2×Dic22—21no—
603C2×Dic22C2×D411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C2×Dic22C2411yescharacteristic
606C2×Dic22C2411yescharacteristic
607C11×Q16—22no—
608C11×Q16—41no—
609C11×SD16—22no—
610C11×SD16—22no—
611C11×SD16—41no—
612C11×SD16—41no—
613C11×SD16—41no—
614C11×D8—41no—
615C11×D8—41no—
616C11×M16—41no—
617C2×C8×C11—41no—
618C2×C8×C11C2411yescharacteristic
619C2×C8×C11C2411yescharacteristic
620C2×C8×C11C2411yescharacteristic
621C2×C8×C11C2411yescharacteristic
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4C2×D411yescharacteristic
626C11×C4⋊C4C2411yescharacteristic
627C11×C4⋊C4C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
635C11×C22⋊C4C2×D411yescharacteristic
636C42×C11—21no—
637C42×C11—21no—
638C42×C11C2411yescharacteristic
639C22⋊Dic11—21no—
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⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11—21no—
653C22⋊Dic11C2×D411yescharacteristic
654C22⋊Dic11C2×D411yescharacteristic
655#4326—22no—
656#4326—41no—
657#4326—41no—
658#4326—41no—
659#4325—22no—
660#4324—41no—
661#4324—41no—
662#4324—41no—
663#4324—41no—
664#4324—41no—
665#4323—22no—
666#4323—22no—
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)⋊C4C2×D411yescharacteristic
678(C2×D11)⋊C4C2×D411yescharacteristic
679(C2×D11)⋊C4C2×D411yescharacteristic
680(C2×D11)⋊C4C2×D411yescharacteristic
681(C2×D11)⋊C4C2×D411yescharacteristic
682(C2×D11)⋊C4C2×D411yescharacteristic
683C4⋊Dic11—21no—
684C4⋊Dic11—21no—
685C4⋊Dic11—21no—
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11C2×D411yescharacteristic
692C4⋊Dic11C2411yescharacteristic
693C4⋊Dic11C2411yescharacteristic
694C4⋊Dic11C2411yescharacteristic
695C4⋊Dic11C2411yescharacteristic
696Dic11⋊C4—21no—
697Dic11⋊C4—21no—
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4C2×D411yescharacteristic
715Dic11⋊C4C2×D411yescharacteristic
716Dic11⋊C4C2×D411yescharacteristic
717Dic11⋊C4C2×D411yescharacteristic
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11C2411yescharacteristic
723C2×C11⋊C8—41no—
724C2×C11⋊C8—41no—
725C2×C11⋊C8C2411yescharacteristic
726C2×C11⋊C8C2411yescharacteristic
727C2×C11⋊C8C2411yescharacteristic
728C2×C11⋊C8C2411yescharacteristic
729Dic44—41no—
730Dic44—41no—
731#4314—22no—
732#4313—41no—
733#4313—41no—
734#4313—41no—
735C8×D11—41no—
736#3539—111no—
737#3489—111no—
738#3323—111no—
739#3322—111no—
740#3320—111no—
741#3315—111no—
742#3312—111no—
743#3307—111no—
744#3301—111no—
745#3300—111no—
746#3284—111no—
747#3283—111no—
748#3278—111no—
749#3276—111no—
750#3271D1111yescharacteristic, complemented
751#3269—111no—
752#3268—111no—
753#3267—111no—
754#3223—111no—
755#3221—111no—
756#3204—111no—
757#3203—111no—
758#3196—111no—
759#3190—111no—
760#3120—111no—
761#3119—111no—
762#3013—111no—
763#3013—111no—
764#3005—111no—
765#3002—111no—
766#2976—111no—
767C23×C11—21no—
768C23×C11—21no—
769C23×C11—21no—
770C23×C11C22×D411yescharacteristic
771C23×C11C22×D411yescharacteristic
772C22×D11—21no—
773C22×D11—41no—
774C22×D11—41no—
775C22×D11—41no—
776C22×D11—42no—
777C22×D11—42no—
778C22×D11—81no—
779C22×D11C22×D411yescharacteristic
780C22×D11C22×D411yescharacteristic
781C22×D11C22×D411yescharacteristic
782Q8×C11—21no—
783Q8×C11—21no—
784Q8×C11—21no—
785Q8×C11—21no—
786Q8×C11—21no—
787Q8×C11—42no—
788Q8×C11H(5,𝔽2)12yes—
789D4×C11—21no—
790D4×C11—21no—
791D4×C11—21no—
792D4×C11—21no—
793D4×C11—21no—
794D4×C11—21no—
795D4×C11—41no—
796D4×C11—42no—
797D4×C11—81no—
798D4×C11—81no—
799D4×C11—81no—
800D4×C11—81no—
801D4×C11—81no—
802D4×C11—81no—
803D4×C11—81no—
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—42no—
827C22⋊D11—42no—
828C22⋊D11—42no—
829C22⋊D11—42no—
830C22⋊D11—81no—
831C22⋊D11—81no—
832C22⋊D11—81no—
833C22⋊D11—81no—
834C22⋊D11—81no—
835C22⋊D11—81no—
836C22⋊D11—81no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—41no—
845C2×Dic11—42no—
846C2×Dic11—81no—
847C2×Dic11—81no—
848C2×Dic11—81no—
849C2×Dic11—81no—
850C2×Dic11—81no—
851C2×Dic11C22×D411yescharacteristic
852C2×Dic11C22×D411yescharacteristic
853C2×Dic11C22×D411yescharacteristic
854C2×Dic11C22×D411yescharacteristic
855C2×Dic11C22×D411yescharacteristic
856D44—24no—
857D44—21no—
858D44—41no—
859D44—41no—
860D44—42no—
861D44H(5,𝔽2)12yes—
862C4×D11—24no—
863C4×D11—21no—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—21no—
867C4×D11—21no—
868C4×D11—21no—
869C4×D11—41no—
870C4×D11—41no—
871C4×D11—42no—
872C4×D11—42no—
873C4×D11—42no—
874C4×D11—42no—
875C4×D11—42no—
876C4×D11—42no—
877C4×D11—81no—
878C4×D11—81no—
879C4×D11—81no—
880C4×D11—81no—
881Dic22—21no—
882Dic22—21no—
883Dic22—21no—
884Dic22—21no—
885Dic22—21no—
886Dic22—21no—
887Dic22—41no—
888Dic22—42no—
889Dic22—42no—
890Dic22—42no—
891C8×C11—21no—
892C8×C11—21no—
893C8×C11—21no—
894C8×C11—21no—
895C11⋊C8—21no—
896C11⋊C8—21no—
897C11⋊C8—21no—
898C11⋊C8—21no—
899C2×2−1+4—111no—
900C22×#41—111no—
901C2×#137—111no—
902C2×#137—111no—
903C2×#137C2×D1111yescharacteristic, complemented
904C2×AGL(1,ℤ/8)—111no—
905C2×#135—111no—
906C2×#135—111no—
907C2×#135—111no—
908C2×#135C2×D1111yescharacteristic
909#560—221no—
910#560—221no—
911#553—111no—
912#553—111no—
913#553—221no—
914#553—221no—
915#552—111no—
916#552—111no—
917#550—111no—
918#550C2×D1111yescharacteristic, complemented
919D4×Q8—111no—
920D4×Q8—111no—
921#548—111no—
922#548C2×D1111yescharacteristic
923#547—111no—
924#547—111no—
925#547—111no—
926#547—111no—
927#547—221no—
928#547—221no—
929#546—111no—
930#546—111no—
931#546—221no—
932#546—221no—
933#541—111no—
934#540—111no—
935#540—221no—
936#540—221no—
937#539—221no—
938#539—221no—
939#537—111no—
940#537—111no—
941#537—111no—
942#537—221no—
943#536—111no—
944#536—221no—
945#525—111no—
946#525—111no—
947#525—111no—
948#525—221no—
949C2×C22⋊Q8—111no—
950C2×C22⋊Q8—221no—
951#520—111no—
952#497—111no—
953#496C2×D1111yescharacteristic, complemented
954#494—111no—
955#492—111no—
956#491—111no—
957#491—111no—
958#488—111no—
959#488—111no—
960#485—111no—
961#485—111no—
962#485—111no—
963#485—111no—
964#484—111no—
965#484—111no—
966#483—111no—
967#483—111no—
968#481—111no—
969#481—111no—
970#480—111no—
971#480—111no—
972#479—111no—
973#479—111no—
974#478—111no—
975#478—111no—
976#470—111no—
977#470—111no—
978#470—111no—
979#469C2×D1111yescharacteristic, complemented
980#468—111no—
981#468—111no—
982#468—111no—
983#468—111no—
984#467—111no—
985#467—111no—
986#467—111no—
987#466—111no—
988#465—111no—
989#465—111no—
990#465—111no—
991#465C2×D1111yescharacteristic, complemented
992#464—111no—
993#464C2×D1111yescharacteristic, complemented
994#463—111no—
995#463—111no—
996#462—111no—
997#462—111no—
998#462—111no—
999#461—111no—
1000#461—111no—
1001#461—111no—
1002#460C2×D1111yescharacteristic, complemented
1003#459—111no—
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#452—111no—
1016#452—111no—
1017#452C2×D1111yescharacteristic, complemented
1018#451—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#450—111no—
1024#449—111no—
1025#449—111no—
1026#449—111no—
1027#449—111no—
1028#449—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#449C2×D1111yescharacteristic
1033#449C2×D1111yescharacteristic, complemented
1034#448—111no—
1035#448—111no—
1036#448—111no—
1037#448—111no—
1038#448C2×D1111yescharacteristic, complemented
1039#447—111no—
1040#442—111no—
1041#441C2×D1111yescharacteristic, complemented
1042#440—111no—
1043#440—111no—
1044C4×Q16—111no—
1045C4×SD16—111no—
1046C4×SD16—111no—
1047C4×D8—111no—
1048#436—111no—
1049#436—111no—
1050#435—111no—
1051#435—111no—
1052#435—111no—
1053#435C2×D1111yescharacteristic, complemented
1054C8×D4—111no—
1055C8×D4—111no—
1056#433—111no—
1057#433—111no—
1058#419—111no—
1059#418—111no—
1060#417—111no—
1061#417—111no—
1062#416—111no—
1063#416—111no—
1064C2×#103—111no—
1065C2×#103—111no—
1066#408—111no—
1067#408—111no—
1068#407—111no—
1069C2×C22⋊C8—111no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—21no—
1075C22×C11—21no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11—41no—
1083C22×C11—41no—
1084C22×C11—41no—
1085C22×C11C23×D411yescharacteristic
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—22no—
1093C2×D11—21no—
1094C2×D11—21no—
1095C2×D11—21no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—82no—
1099C2×D11—84no—
1100C4×C11—21no—
1101C4×C11—21no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—22no—
1105C4×C11—41no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11C2×H(5,𝔽2)11yescharacteristic
1110C4×C11C2×H(5,𝔽2)11yescharacteristic
1111Dic11—21no—
1112Dic11—21no—
1113Dic11—21no—
1114Dic11—21no—
1115Dic11—21no—
1116Dic11—41no—
1117Dic11—41no—
1118Dic11—41no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
11232−1+4—442no—
11242−1+4—442no—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—111no—
1133C2×#41—221no—
1134C2×#41—221no—
1135C2×#41—221no—
1136C2×#41—221no—
1137C2×#41—221no—
1138C2×#41—442no—
1139C2×#41—442no—
1140C2×#41C22×D1111yescharacteristic
1141C2×#41C22×D1111yescharacteristic
1142C2×#41C22×D1111yescharacteristic
1143C22×Q8—111no—
1144C22×Q8—111no—
1145C22×Q8—111no—
1146C22×Q8—221no—
1147C22×Q8C22×D1111yescharacteristic
1148C22×D4—111no—
1149C22×D4—221no—
1150C23×C4—111no—
1151C23×C4—221no—
1152#137—42no—
1153#137—442no—
1154#137—442no—
1155AGL(1,ℤ/8)—442no—
1156#135—42no—
1157#135—442no—
1158#135—442no—
1159#135—442no—
1160C2×Q16—111no—
1161C2×Q16—111no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×Q16—111no—
1165C2×Q16—111no—
1166C2×Q16C22×D1111yescharacteristic
1167C2×Q16C22×D1111yescharacteristic
1168C2×SD16—111no—
1169C2×SD16—111no—
1170C2×SD16—111no—
1171C2×SD16—111no—
1172C2×SD16—111no—
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×SD16C22×D1111yescharacteristic
1176C2×SD16C22×D1111yescharacteristic
1177C2×SD16C22×D1111yescharacteristic
1178C2×SD16C22×D1111yescharacteristic
1179C2×SD16C22×D1111yescharacteristic
1180C2×D8—111no—
1181C2×D8—111no—
1182C2×D8C22×D1111yescharacteristic
1183C2×D8C22×D1111yescharacteristic
1184C2×M16—111no—
1185C2×M16—111no—
1186C2×M16—111no—
1187C2×M16C22×D1111yescharacteristic
1188C22×C8—111no—
1189C22×C8—111no—
1190C22×C8—111no—
1191C22×C8C22×D1111yescharacteristic
1192C4⋊Q8—111no—
1193C4⋊Q8—111no—
1194C4⋊Q8—111no—
1195C4⋊Q8—221no—
1196C4⋊Q8—221no—
1197#127—21no—
1198#127—221no—
1199#127C22×D1111yescharacteristic
1200#126—221no—
1201#126—221no—
1202#126—221no—
1203#126—221no—
1204#126—221no—
1205#126—221no—
1206#125—111no—
1207#125—111no—
1208#125—221no—
1209#125—221no—
1210#125—221no—
1211#125—221no—
1212#124—21no—
1213#124—111no—
1214#124—221no—
1215#124C22×D1111yescharacteristic
1216#123—111no—
1217#123—111no—
1218#123—221no—
1219#123—221no—
1220#123—221no—
1221#123—221no—
1222#123—221no—
1223#123—221no—
1224#123—221no—
1225#123—221no—
1226#123—221no—
1227#123—221no—
1228#123—221no—
1229#123—221no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238C22⋊Q8—21no—
1239C22⋊Q8—111no—
1240C22⋊Q8—111no—
1241C22⋊Q8—111no—
1242C22⋊Q8—111no—
1243C22⋊Q8—111no—
1244C22⋊Q8—111no—
1245C22⋊Q8—111no—
1246C22⋊Q8—111no—
1247C22⋊Q8—111no—
1248C22⋊Q8—111no—
1249C22⋊Q8—111no—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—221no—
1253C22⋊Q8—221no—
1254C22⋊Q8—221no—
1255C22⋊Q8—221no—
1256C22⋊Q8—221no—
1257C22⋊Q8—221no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8C22×D1111yescharacteristic
1265#121—21no—
1266#121—21no—
1267#121—21no—
1268#121—111no—
1269#121—111no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—221no—
1276#121—221no—
1277#121—221no—
1278#121—221no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121C22×D1111yescharacteristic
1298#121C22×D1111yescharacteristic
1299#121C22×D1111yescharacteristic
1300#120—111no—
1301#120—111no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306C4×Q8—111no—
1307C4×Q8—111no—
1308C4×Q8C22×D1111yescharacteristic
1309C4×Q8C22×D1111yescharacteristic
1310C4×D4—21no—
1311C4×D4—21no—
1312C4×D4—111no—
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—221no—
1320C4×D4—221no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4C22×D1111yescharacteristic
1332#117—111no—
1333#117—111no—
1334#117—111no—
1335#117—221no—
1336#117—221no—
1337#117—221no—
1338C2×C4⋊C4—111no—
1339C2×C4⋊C4—111no—
1340C2×C4⋊C4—111no—
1341C2×C4⋊C4—221no—
1342C2×C4⋊C4—221no—
1343C2×C4⋊C4—221no—
1344C2×C4⋊C4—221no—
1345C2×C4⋊C4—221no—
1346C2×C4⋊C4—221no—
1347C2×C22⋊C4—221no—
1348C2×C22⋊C4—221no—
1349C2×C22⋊C4—221no—
1350#107—111no—
1351#107—111no—
1352#107—111no—
1353#107—111no—
1354#106—111no—
1355#106—111no—
1356#106—111no—
1357#106C22×D1111yescharacteristic
1358C4⋊C8—111no—
1359C4⋊C8—111no—
1360C4⋊C8—111no—
1361C4⋊C8C22×D1111yescharacteristic
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103C22×D1111yescharacteristic
1380#103C22×D1111yescharacteristic
1381#103C22×D1111yescharacteristic
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102—111no—
1391#102C22×D1111yescharacteristic
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394C22⋊C8—111no—
1395C22⋊C8—111no—
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8—111no—
1404C22⋊C8C22×D1111yescharacteristic
1405C22⋊C8C22×D1111yescharacteristic
1406#97—111no—
1407#97C22×D1111yescharacteristic
1408C4×C8—111no—
1409C4×C8—111no—
1410C2×C11—41no—
1411C2×C11—41no—
1412C2×C11—81no—
1413C2×C11—81no—
1414C2×C11—81no—
1415C2×C11#348411yescharacteristic
1416C2×C11#358411yescharacteristic
1417C2×C11#358611yescharacteristic
1418D11—41no—
1419D11—41no—
1420D11—41no—
1421D11—42no—
1422C24—111no—
1423C24—221no—
1424#41—22no—
1425#41—41no—
1426#41—41no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—222no—
1434#41—222no—
1435#41—441no—
1436#41—441no—
1437#41—441no—
1438#41—441no—
1439#41—444no—
1440#41—444no—
1441#41—444no—
1442#41—441no—
1443#41—441no—
1444#41—444no—
1445#41—441no—
1446#41—441no—
1447#41—441no—
1448#41—441no—
1449#41—441no—
1450#41—444no—
1451C2×Q8—21no—
1452C2×Q8—22no—
1453C2×Q8—41no—
1454C2×Q8—111no—
1455C2×Q8—111no—
1456C2×Q8—111no—
1457C2×Q8—111no—
1458C2×Q8—221no—
1459C2×Q8—221no—
1460C2×Q8—221no—
1461C2×Q8—222no—
1462C2×Q8—222no—
1463C2×Q8—441no—
1464C2×Q8—441no—
1465C2×Q8—441no—
1466C2×Q8—441no—
1467C2×Q8—444no—
1468C2×Q8C23×D1111yescharacteristic
1469C2×Q8C23×D1111yescharacteristic
1470C2×Q8C23×D1111yescharacteristic
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—111no—
1480C2×D4—111no—
1481C2×D4—111no—
1482C2×D4—111no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—111no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—222no—
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—441no—
1501C2×D4—444no—
1502C2×D4D4×D1111yescharacteristic
1503C2×D4C23×D1111yescharacteristic
1504C2×D4C23×D1111yescharacteristic
1505C2×D4C23×D1111yescharacteristic
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—111no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—221no—
1517C22×C4—221no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—221no—
1533C22×C4—441no—
1534C22×C4—441no—
1535C22×C4—444no—
1536C22×C4C23×D1111yescharacteristic
1537C22×C4C23×D1111yescharacteristic
1538Q16—22no—
1539Q16—41no—
1540Q16—222no—
1541Q16—441no—
1542Q16—441no—
1543Q16—441no—
1544Q16—441no—
1545Q16—441no—
1546SD16—22no—
1547SD16—22no—
1548SD16—41no—
1549SD16—41no—
1550SD16—41no—
1551SD16—222no—
1552SD16—222no—
1553SD16—441no—
1554SD16—441no—
1555SD16—441no—
1556SD16—441no—
1557SD16—441no—
1558D8—41no—
1559D8—41no—
1560D8—222no—
1561D8—222no—
1562M16—41no—
1563M16—441no—
1564M16—441no—
1565M16—441no—
1566C2×C8—41no—
1567C2×C8—111no—
1568C2×C8—111no—
1569C2×C8—111no—
1570C2×C8—111no—
1571C2×C8—441no—
1572C2×C8—441no—
1573C2×C8—441no—
1574C2×C8C23×D1111yescharacteristic
1575C2×C8C23×D1111yescharacteristic
1576C2×C8C23×D1111yescharacteristic
1577C2×C8C23×D1111yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—111no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
1584C4⋊C4—111no—
1585C4⋊C4—111no—
1586C4⋊C4—111no—
1587C4⋊C4—111no—
1588C4⋊C4—111no—
1589C4⋊C4—111no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4—221no—
1614C4⋊C4—221no—
1615C4⋊C4—221no—
1616C4⋊C4D4×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—111no—
1626C22⋊C4—111no—
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⋊C4D4×D1111yescharacteristic
1658C22⋊C4D4×D1111yescharacteristic
1659C42—21no—
1660C42—21no—
1661C42—111no—
1662C42—221no—
1663C42—221no—
1664C42—221no—
1665C42—221no—
1666C42C23×D1111yescharacteristic
1667C11#6162611yescharacteristic, complemented, Sylow
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—111no—
1672C23—111no—
1673C23—111no—
1674C23—221no—
1675C23—441no—
1676C23—441no—
1677C23—441no—
1678C23—442no—
1679C23—442no—
1680C23—881no—
1681C23C2×D4×D1111yescharacteristic
1682C23C2×D4×D1111yescharacteristic
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—42no—
1689Q8—221no—
1690Q8—221no—
1691Q8—221no—
1692Q8—221no—
1693Q8—221no—
1694Q8—221no—
1695Q8—441no—
1696Q8—442no—
1697Q8—442no—
1698Q8—442no—
1699Q8#6703712yes—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—41no—
1707D4—42no—
1708D4—81no—
1709D4—81no—
1710D4—81no—
1711D4—81no—
1712D4—81no—
1713D4—81no—
1714D4—81no—
1715D4—112no—
1716D4—224no—
1717D4—221no—
1718D4—441no—
1719D4—441no—
1720D4—442no—
1721D4—441no—
1722D4—441no—
1723D4—441no—
1724D4—441no—
1725D4—442no—
1726D4—442no—
1727D4—442no—
1728D4—442no—
1729D4—881no—
1730D4—881no—
1731D4—881no—
1732D4—881no—
1733D4—881no—
1734D4—881no—
1735D4—881no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—42no—
1746C2×C4—42no—
1747C2×C4—81no—
1748C2×C4—81no—
1749C2×C4—111no—
1750C2×C4—111no—
1751C2×C4—111no—
1752C2×C4—111no—
1753C2×C4—111no—
1754C2×C4—224no—
1755C2×C4—221no—
1756C2×C4—221no—
1757C2×C4—221no—
1758C2×C4—221no—
1759C2×C4—221no—
1760C2×C4—221no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—441no—
1769C2×C4—441no—
1770C2×C4—442no—
1771C2×C4—442no—
1772C2×C4—442no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—441no—
1777C2×C4—442no—
1778C2×C4—881no—
1779C2×C4—881no—
1780C2×C4—881no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4—881no—
1787C2×C4C2×D4×D1111yescharacteristic
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C24×D1111yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—221no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—221no—
1816C22—221no—
1817C22—221no—
1818C22—222no—
1819C22—221no—
1820C22—221no—
1821C22—221no—
1822C22—221no—
1823C22—221no—
1824C22—221no—
1825C22—441no—
1826C22—441no—
1827C22—882no—
1828C22—884no—
1829C22C22×D4×D1111yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—22no—
1834C4—21no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—221no—
1840C4—221no—
1841C4—221no—
1842C4—221no—
1843C4—221no—
1844C4—441no—
1845C4—441no—
1846C4—441no—
1847C4—441no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4C2×#6703711yescharacteristic
1852C4D11×H(5,𝔽2)11yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—81no—
1856C2—81no—
1857C2—81no—
1858C2—441no—
1859C2—441no—
1860C2—441no—
1861C2—442no—
1862C2#1308224411yescharacteristic
1863C2#1308338911yescharacteristic
1864C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3271C2
socleC22×C11C23×D4
hypercenter#3271D11
hypocenterC11#61626
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3271

Complements

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

NH ≅ G/Ntype
1. #13082867C2semidirect
2. #13082295C2semidirect
3. #13080839C2semidirect
4. #13080812C2semidirect
5. #13080791C2semidirect
6. #13080714C2semidirect
7. #13080672C2semidirect
8. #13080598C2semidirect
9. #13080511C2semidirect
10. #13080503C2semidirect
11. #13080346C2semidirect
12. #13080331C2semidirect
13. #13080285C2semidirect
14. #13080256C2semidirect
15. #13080171C2semidirect
16. #13080155C2semidirect
17. #13080134C2semidirect
18. #13079696C2semidirect
19. #13079672C2semidirect
20. #13079527C2semidirect
21. #13079515C2semidirect
22. #13079444C2semidirect
23. #13079392C2semidirect
24. #13078828C2semidirect
25. #13078814C2semidirect
26. #13077930C2semidirect
27. #13077926C2semidirect
28. #13077854C2semidirect
29. #13077830C2semidirect
30. #13077665C2semidirect
31. C11×#3271C2semidirect
34. C2×C11×#137C22semidirect
36. C11×#550C22semidirect
38. #10623364C22semidirect
42. #10623355C22semidirect
44. C2×#67003C22semidirect
46. C2×#66969C22semidirect
48. C2×#66968C22semidirect
52. #10623250C22semidirect
65. #10623145C22semidirect
70. #10623139C22semidirect
74. #10623114C22semidirect
83. #10623072C22semidirect
85. C11×#496C22semidirect
86. C11×#469C22semidirect
87. C11×#465C22semidirect
88. C11×#464C22semidirect
89. C11×#460C22semidirect
90. C11×#452C22semidirect
92. C11×#449C22semidirect
93. C11×#448C22semidirect
94. C11×#441C22semidirect
95. C11×#435C22semidirect
97. #10622852C22semidirect
98. #10622852C22semidirect
100. #10622841C22semidirect
101. C2×#66899C22semidirect
104. #10622800C22semidirect
106. #10622799C22semidirect
107. #10622799C22semidirect
108. #10622795C22semidirect
109. #10622794C22semidirect
111. #10622787C22semidirect
116. #10622785C22semidirect
118. #10622783C22semidirect
119. #10622783C22semidirect
120. #10622783C22semidirect
122. #10622780C22semidirect
123. #10622777C22semidirect
124. #10622775C22semidirect
125. #10622775C22semidirect
126. SD16×Dic11C22semidirect
129. #10622771C22semidirect
130. #10622770C22semidirect
132. #10622766C22semidirect
133. #10622766C22semidirect
134. #10622750C22semidirect
135. #10622746C22semidirect
136. #10622742C22semidirect
138. #10622729C22semidirect
140. #10622724C22semidirect
142. #10622689C22semidirect
143. #10622685C22semidirect
144. #10622669C22semidirect
145. #10622667C22semidirect
146. #10622664C22semidirect
147. #10622658C22semidirect
148. #10622654C22semidirect
149. #10622654C22semidirect
150. #10622654C22semidirect
152. #10622650C22semidirect
153. #10622646C22semidirect
154. #10622644C22semidirect
155. C4×#4326C22semidirect
156. C4×#4325C22semidirect
157. #10622635C22semidirect
158. D4×C11⋊C8C22semidirect
159. #10622484C22semidirect
161. #10622475C22semidirect
162. #10622475C22semidirect
163. #10622462C22semidirect
164. #10622460C22semidirect
165. #10622453C22semidirect
167. #10622431C22semidirect
170. #10622426C22semidirect
172. #10622422C22semidirect
173. #10622421C22semidirect
174. #10622416C22semidirect
176. D11×#103C22semidirect
177. #10622410C22semidirect
178. #10622409C22semidirect
179. #10622398C22semidirect
182. #10622396C22semidirect
184. #10622393C22semidirect
185. #10622390C22semidirect
186. #10622390C22semidirect
187. #10622387C22semidirect
189. #10622381C22semidirect
190. #10622369C22semidirect
192. #10622346C22semidirect
194. #10622340C22semidirect
196. (C22⋊D11)⋊C8C22semidirect
197. #10622336C22semidirect
198. #10622335C22semidirect
199. #10622323C22semidirect
200. #10622322C22semidirect
202. #10622316C22semidirect
750. #3271D11semidirect
903. C2×#137C2×D11semidirect
918. #550C2×D11semidirect
953. #496C2×D11semidirect
979. #469C2×D11semidirect
991. #465C2×D11semidirect
993. #464C2×D11semidirect
1002. #460C2×D11semidirect
1017. #452C2×D11semidirect
1033. #449C2×D11semidirect
1038. #448C2×D11semidirect
1041. #441C2×D11semidirect
1053. #435C2×D11semidirect
1667. C11#61626semidirect

Maximal subgroups

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

subgroupindex
#130828672
#130822952
#130808392
#130808122
#130807912
#130807142
#130806722
#130805982
#130805112
#130805032
#130803462
#130803312
#130802852
#130802562
#130801712
#130801552
#130801342
#130796962
#130796722
#130795272
#130795152
#130794442
#130793922
#130788282
#130788142
#130779302
#130779262
#130778542
#130778302
#130776652
C11×#32712
#6162611