Finite Group Databasebeta

← #15639259

Subgroups — #15639259

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#13082102C211yesmaximal, characteristic, complemented
3#13080883C211yesmaximal, characteristic, complemented
4#13080831C211yesmaximal, characteristic, complemented
5#13080794C211yesmaximal, characteristic, complemented
6#13080764C211yesmaximal, characteristic, complemented
7#13080749C211yesmaximal, characteristic, complemented
8#13080719C211yesmaximal, characteristic, complemented
9#13080517C211yesmaximal, characteristic, complemented
10#13080465C211yesmaximal, characteristic, complemented
11#13080356C211yesmaximal, characteristic, complemented
12#13080322C211yesmaximal, characteristic, complemented
13#13080246C211yesmaximal, characteristic, complemented
14#13080225C211yesmaximal, characteristic, complemented
15#13080192C211yesmaximal, characteristic, complemented
16#13080162C211yesmaximal, characteristic, complemented
17#13080147C211yesmaximal, characteristic, complemented
18#13080106C211yesmaximal, characteristic, complemented
19#13079653C211yesmaximal, characteristic, complemented
20#13079455C211yesmaximal, characteristic, complemented
21#13079444C211yesmaximal, characteristic, complemented
22#13079408C211yesmaximal, characteristic, complemented
23#13079379C211yesmaximal, characteristic, complemented
24#13078719C211yesmaximal, characteristic, complemented
25#13078636C211yesmaximal, characteristic, complemented
26#13077865C211yesmaximal, characteristic, complemented
27#13077859C211yesmaximal, characteristic, complemented
28#13077831C211yesmaximal, characteristic, complemented
29D11×#452C211yesmaximal, characteristic, complemented
30#13077650C211yesmaximal, characteristic, complemented
31C11×#3212C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic, complemented
34C11×#532C2211yescharacteristic, complemented
35C11×#529C2211yescharacteristic, complemented
36#10623359C2211yescharacteristic
37#10623359C2211yescharacteristic, complemented
38C2×#66971C2211yescharacteristic, complemented
39C2×Q16×D11C2211yescharacteristic, complemented
40C2×#66969C2211yescharacteristic, complemented
41C2×#66967C2211yescharacteristic, complemented
42C2×#66967C2211yescharacteristic, complemented
43C2×SD16×D11C2211yescharacteristic, complemented
44C2×#66965C2211yescharacteristic, complemented
45C2×#66964C2211yescharacteristic, complemented
46#10623258C2211yescharacteristic, complemented
47#10623257C2211yescharacteristic
48#10623249C2211yescharacteristic
49#10623248C2211yescharacteristic, complemented
50#10623240—21no—
51#10623236—21no—
52#10623226C2211yescharacteristic, complemented
53#10623225C2211yescharacteristic, complemented
54#10623208C2211yescharacteristic
55#10623208C2211yescharacteristic, complemented
56#10623208C2211yescharacteristic, complemented
57#10623207C2211yescharacteristic
58#10623207C2211yescharacteristic, complemented
59#10623207C2211yescharacteristic, complemented
60#10623196—21no—
61#10623184—21no—
62#10623158C2211yescharacteristic, complemented
63D11×C22⋊Q8C2211yescharacteristic, complemented
64#10623142—21no—
65#10623141—21no—
66#10623141—21no—
67#10623140—21no—
68#10623137C2211yescharacteristic, complemented
69D11×#121C2211yescharacteristic, complemented
70#10623112C2211yescharacteristic, complemented
71#10623107C2211yescharacteristic
72#10623091—21no—
73#10623089C2211yescharacteristic
74#10623085C2211yescharacteristic, complemented
75#10623079—21no—
76#10623078—21no—
77#10623078—21no—
78#10623076—21no—
79C4×D4×D11—21no—
80#10623061—21no—
81#10623058—21no—
82#10623010C2211yescharacteristic, complemented
83C4×#4339C2211yescharacteristic, complemented
84C2×C4×D44C2211yescharacteristic
85C11×#495C2211yescharacteristic, complemented
86C11×#495C2211yescharacteristic, complemented
87C11×#488C2211yescharacteristic, complemented
88C11×#488C2211yescharacteristic, complemented
89C11×#462C2211yescharacteristic, complemented
90C11×#461C2211yescharacteristic, complemented
91C11×#460C2211yescharacteristic, complemented
92C11×#459C2211yescharacteristic, complemented
93C11×#452C2211yescharacteristic, complemented
94C11×#452C2211yescharacteristic, complemented
95C11×#449C2211yescharacteristic, complemented
96C11×#449C2211yescharacteristic, complemented
97C11×#431C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622852C2211yescharacteristic, complemented
100#10622851C2211yescharacteristic, complemented
101#10622851C2211yescharacteristic, complemented
102#10622802C2211yescharacteristic, complemented
103#10622801C2211yescharacteristic, complemented
104#10622800C2211yescharacteristic, complemented
105#10622800C2211yescharacteristic, complemented
106#10622800C2211yescharacteristic, complemented
107#10622799C2211yescharacteristic, complemented
108#10622787C2211yescharacteristic, complemented
109#10622787C2211yescharacteristic, complemented
110#10622786C2211yescharacteristic, complemented
111#10622786C2211yescharacteristic, complemented
112#10622786C2211yescharacteristic, complemented
113#10622785C2211yescharacteristic, complemented
114#10622784C2211yescharacteristic, complemented
115#10622784C2211yescharacteristic, complemented
116#10622783C2211yescharacteristic, complemented
117#10622783C2211yescharacteristic, complemented
118#10622783C2211yescharacteristic, complemented
119#10622782C2211yescharacteristic, complemented
120#10622772C2211yescharacteristic, complemented
121#10622771C2211yescharacteristic, complemented
122#10622770C2211yescharacteristic, complemented
123#10622769C2211yescharacteristic, complemented
124#10622769C2211yescharacteristic, complemented
125#10622769C2211yescharacteristic, complemented
126#10622699C2211yescharacteristic, complemented
127#10622695C2211yescharacteristic, complemented
128#10622687C2211yescharacteristic, complemented
129#10622684C2211yescharacteristic, complemented
130#10622679C2211yescharacteristic, complemented
131#10622676C2211yescharacteristic, complemented
132#10622670C2211yescharacteristic, complemented
133#10622670C2211yescharacteristic, complemented
134#10622670C2211yescharacteristic, complemented
135#10622667C2211yescharacteristic, complemented
136#10622667C2211yescharacteristic, complemented
137#10622667C2211yescharacteristic, complemented
138#10622660C2211yescharacteristic, complemented
139#10622658C2211yescharacteristic, complemented
140#10622650C2211yescharacteristic
141#10622648C2211yescharacteristic, complemented
142#10622643C2211yescharacteristic, complemented
143#10622639C2211yescharacteristic, complemented
144#10622631C2211yescharacteristic, complemented
145#10622627C2211yescharacteristic, complemented
146#10622539C2211yescharacteristic, complemented
147#10622460C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic, complemented
150#10622449C2211yescharacteristic, complemented
151#10622449C2211yescharacteristic, complemented
152#10622449C2211yescharacteristic, complemented
153#10622449C2211yescharacteristic, complemented
154#10622442C2211yescharacteristic, complemented
155#10622429C2211yescharacteristic, complemented
156#10622429C2211yescharacteristic, complemented
157#10622428C2211yescharacteristic, complemented
158#10622428C2211yescharacteristic, complemented
159#10622424C2211yescharacteristic, complemented
160#10622423C2211yescharacteristic, complemented
161#10622422C2211yescharacteristic, complemented
162#10622422C2211yescharacteristic, complemented
163#10622421C2211yescharacteristic, complemented
164#10622420C2211yescharacteristic, complemented
165#10622420C2211yescharacteristic, complemented
166#10622419C2211yescharacteristic, complemented
167#10622417C2211yescharacteristic, complemented
168#10622416C2211yescharacteristic, complemented
169#10622415C2211yescharacteristic, complemented
170D11×#103C2211yescharacteristic, complemented
171#10622397C2211yescharacteristic, complemented
172#10622397C2211yescharacteristic, complemented
173#10622396C2211yescharacteristic, complemented
174#10622394C2211yescharacteristic, complemented
175#10622393C2211yescharacteristic, complemented
176#10622393C2211yescharacteristic, complemented
177#10622390C2211yescharacteristic, complemented
178#10622390C2211yescharacteristic, complemented
179#10622389C2211yescharacteristic, complemented
180#10622388C2211yescharacteristic, complemented
181#10622388C2211yescharacteristic, complemented
182#10622386C2211yescharacteristic, complemented
183#10622385C2211yescharacteristic, complemented
184#10622384C2211yescharacteristic, complemented
185#10622383C2211yescharacteristic, complemented
186D11×#102C2211yescharacteristic, complemented
187#10622350C2211yescharacteristic, complemented
188#10622347C2211yescharacteristic
189#10622346C2211yescharacteristic, complemented
190#10622339C2211yescharacteristic, complemented
191#10622339C2211yescharacteristic, complemented
192D11×C22⋊C8C2211yescharacteristic, complemented
193D11×C22⋊C8C2211yescharacteristic, complemented
194#10622336C2211yescharacteristic, complemented
195C4×Dic44C2211yescharacteristic, complemented
196C4×D88C2211yescharacteristic, complemented
197C4×#4314C2211yescharacteristic, complemented
198C4×#4314C2211yescharacteristic, complemented
199#10622301C2211yescharacteristic, complemented
200#10622301C2211yescharacteristic, complemented
201C8×D44C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205#41×D11—42no—
206#41×D11—42no—
207#41×D11—42no—
208#41×D11—42no—
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×Q8×D11C2311yescharacteristic
215C2×#4341—21no—
216C2×#4341—21no—
217C2×#4341C2311yescharacteristic
218C2×#4341C2311yescharacteristic
219C2×#4341C2311yescharacteristic
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11C2311yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×D4×D11C2311yescharacteristic
227C2×#4339—21no—
228C2×#4339—21no—
229C2×#4339C2311yescharacteristic
230C22×D44D411yescharacteristic
231C22×C4×D11—21no—
232C22×C4×D11—21no—
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C2×C11×Q16C2311yescharacteristic
236C2×C11×Q16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×SD16C2311yescharacteristic
239C2×C11×SD16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×D8C2311yescharacteristic
242C2×C11×D8C2311yescharacteristic
243C11×C4⋊Q8C2311yescharacteristic
244C11×#127C2311yescharacteristic
245C11×#126—21no—
246C11×#125C2311yescharacteristic
247C11×#124C2311yescharacteristic
248C11×#124C2311yescharacteristic
249C11×#124C2311yescharacteristic
250C11×#123—21no—
251C11×C22⋊Q8C2311yescharacteristic
252C11×#121—21no—
253C11×#121—21no—
254C11×#121C2311yescharacteristic
255C4×Q8×C11C2311yescharacteristic
256C4×D4×C11—21no—
257C4×D4×C11—21no—
258C4×D4×C11—21no—
259C4×D4×C11C2311yescharacteristic
260C11×#117—21no—
261C2×C42×C11C2311yescharacteristic
262#66999C2311yescharacteristic
263#66999C2311yescharacteristic
264#66999C2311yescharacteristic
265#66999C2311yescharacteristic
266#66999C2311yescharacteristic
267#66999C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4326C2311yescharacteristic
270C2×#4326C2311yescharacteristic
271C2×#4325C2311yescharacteristic
272C2×#4325C2311yescharacteristic
273C2×#4325C2311yescharacteristic
274#66993—21no—
275#66992—21no—
276#66992—21no—
277#66992—21no—
278#66991—21no—
279#66991C2311yescharacteristic
280#66991C2311yescharacteristic
281#66991C2311yescharacteristic
282#66991C2311yescharacteristic
283#66991C2311yescharacteristic
284#66991C2311yescharacteristic
285#66990—21no—
286#66990—21no—
287#66990—21no—
288#66990—21no—
289#66990—21no—
290#66988—21no—
291#66988—21no—
292D4×Dic11—21no—
293D4×Dic11—21no—
294C2×#4324C2311yescharacteristic
295C2×#4324C2311yescharacteristic
296C2×#4324C2311yescharacteristic
297C2×#4323C2311yescharacteristic
298C2×#4323C2311yescharacteristic
299C2×#4323C2311yescharacteristic
300#66983—21no—
301#66983C2311yescharacteristic
302#66982—21no—
303#66982—21no—
304C4×C22⋊D11—21no—
305C4×C22⋊D11—21no—
306C4×C22⋊D11—21no—
307C4×C22⋊D11—21no—
308C4×C22⋊D11—21no—
309C4×C22⋊D11—21no—
310C4×C22⋊D11—21no—
311C4×C22⋊D11—21no—
312C2×(C2×D11)⋊C4—21no—
313C2×(C2×D11)⋊C4D411yescharacteristic
314C2×(C2×D11)⋊C4D411yescharacteristic
315#66979C2311yescharacteristic
316C2×C4⋊Dic11D411yescharacteristic
317#66977C2311yescharacteristic
318#66971—42no—
319Q16×D11—42no—
320#66969—42no—
321#66967—42no—
322#66967—42no—
323SD16×D11—42no—
324#66965—42no—
325#66964—42no—
326C2×Dic44C2311yescharacteristic
327C2×D88C2311yescharacteristic
328C2×#4314C2311yescharacteristic
329C2×#4314C2311yescharacteristic
330C2×#4313C2311yescharacteristic
331C2×#4313C2311yescharacteristic
332C2×#4313C2311yescharacteristic
333C2×#4313C2311yescharacteristic
334C2×C8×D11C2311yescharacteristic
335C2×C8×D11C2311yescharacteristic
336C2×C8×D11C2311yescharacteristic
337C2×C8×D11C2311yescharacteristic
338#66951—21no—
339#66951—21no—
340#66950—21no—
341#66950C2311yescharacteristic
342#66950C2311yescharacteristic
343#66949—21no—
344#66949—21no—
345#66949—21no—
346#66948—21no—
347#66948—21no—
348#66948—21no—
349#66948C2311yescharacteristic
350#66948C2311yescharacteristic
351#66947—21no—
352#66947—21no—
353#66947—21no—
354#66947—21no—
355#66947—21no—
356#66947—21no—
357#66946—21no—
358#66946—21no—
359#66946—21no—
360#66945—21no—
361#66945C2311yescharacteristic
362#66945C2311yescharacteristic
363C4⋊C4×D11—21no—
364C4⋊C4×D11—21no—
365C4⋊C4×D11C2311yescharacteristic
366C4⋊C4×D11C2311yescharacteristic
367#66943—21no—
368#66942—21no—
369#66941—21no—
370#66939—21no—
371#66938—21no—
372#66938—21no—
373#66938—21no—
374#66937—21no—
375#66937—21no—
376#66937—21no—
377#66937—21no—
378#66937—21no—
379#66937—21no—
380#66937—21no—
381#66937—21no—
382#66936—21no—
383#66936—21no—
384#66936—21no—
385#66936—21no—
386#66935—21no—
387#66935—21no—
388#66935—21no—
389#66935—21no—
390#66935—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396C22⋊C4×D11—21no—
397C22⋊C4×D11—21no—
398C22⋊C4×D11—21no—
399C22⋊C4×D11—21no—
400C22⋊C4×D11—21no—
401#66932—21no—
402#66931—21no—
403#66931—21no—
404#66931—21no—
405#66931—21no—
406#66929—21no—
407#66929—21no—
408#66928—21no—
409#66928C2311yescharacteristic
410C4×D44—21no—
411C4×D44D411yescharacteristic
412C4×D44D411yescharacteristic
413C4×D44D411yescharacteristic
414C4×D44D411yescharacteristic
415C4×D44C2311yescharacteristic
416C4×D44C2311yescharacteristic
417C4×D44C2311yescharacteristic
418C4×D44C2311yescharacteristic
419C4×D44C2311yescharacteristic
420C4×D44C2311yescharacteristic
421C4×D44C2311yescharacteristic
422#66925—21no—
423#66925—21no—
424#66925—21no—
425C42×D11—21no—
426#66923C2311yescharacteristic
427C4×Dic22C2311yescharacteristic
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×C4⋊C8C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×#102C2311yescharacteristic
439C11×#102C2311yescharacteristic
440C11×C22⋊C8C2311yescharacteristic
441C11×C22⋊C8C2311yescharacteristic
442C4×C8×C11C2311yescharacteristic
443C4×C8×C11C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453#66896C2311yescharacteristic
454#66896C2311yescharacteristic
455#66896C2311yescharacteristic
456C22⋊(C11⋊C8)C2311yescharacteristic
457C22⋊(C11⋊C8)C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460#66885C2311yescharacteristic
461#66885C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466(C2×D11)⋊C8C2311yescharacteristic
467(C2×D11)⋊C8C2311yescharacteristic
468(C2×D11)⋊C8C2311yescharacteristic
469(C2×D11)⋊C8C2311yescharacteristic
470#66882C2311yescharacteristic
471#66882C2311yescharacteristic
472#66881C2311yescharacteristic
473#66881C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66880C2311yescharacteristic
477#66880C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66872C2311yescharacteristic
483#66872C2311yescharacteristic
484#66871C2311yescharacteristic
485#66871C2311yescharacteristic
486C4⋊(C11⋊C8)C2311yescharacteristic
487C4⋊(C11⋊C8)C2311yescharacteristic
488#66867C2311yescharacteristic
489#66867C2311yescharacteristic
490#61606—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11C2×D411yescharacteristic
495C23×D11C2×D411yescharacteristic
496C11×#41—41no—
497C11×#41—41no—
498C11×#41—41no—
499C11×#41—41no—
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11C2411yescharacteristic
509C2×D4×C11C2411yescharacteristic
510C2×D4×C11C2411yescharacteristic
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11—21no—
514C22×C4×C11C2×D411yescharacteristic
515C22×C4×C11C2×D411yescharacteristic
516C22×C4×C11C2411yescharacteristic
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11—21no—
534C22×Dic11C2×D411yescharacteristic
535C22×Dic11C2×D411yescharacteristic
536#4343—22no—
537#4343—22no—
538#4343—41no—
539#4343—41no—
540#4343—41no—
541#4343—41no—
542Q8×D11—22no—
543Q8×D11—22no—
544Q8×D11—41no—
545Q8×D11—41no—
546Q8×D11—41no—
547Q8×D11—41no—
548#4341—22no—
549#4341—22no—
550#4341—41no—
551#4341—41no—
552#4341—41no—
553#4341—41no—
554#4341—44no—
555#4341—44no—
556D4×D11—22no—
557D4×D11—22no—
558D4×D11—41no—
559D4×D11—41no—
560D4×D11—41no—
561D4×D11—41no—
562D4×D11—44no—
563D4×D11—44no—
564D4×D11—44no—
565D4×D11—44no—
566#4339—22no—
567#4339—22no—
568#4339—44no—
569#4339—44no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44—21no—
573C2×D44—21no—
574C2×D44—21no—
575C2×D44—42no—
576C2×D44C2×D411yescharacteristic
577C2×D44C2×D411yescharacteristic
578C2×D44C2×D411yescharacteristic
579C2×D44C2×D411yescharacteristic
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—21no—
594C2×C4×D11—41no—
595C2×C4×D11—41no—
596C2×C4×D11—41no—
597C2×C4×D11—41no—
598C2×C4×D11—44no—
599C2×C4×D11—44no—
600C2×C4×D11C2×D411yescharacteristic
601C2×C4×D11C2×D411yescharacteristic
602C2×C4×D11C2×D411yescharacteristic
603C2×C4×D11C2×D411yescharacteristic
604C2×C4×D11C2411yescharacteristic
605C2×C4×D11C2411yescharacteristic
606C2×C4×D11C2411yescharacteristic
607C2×C4×D11C2411yescharacteristic
608C2×Dic22—21no—
609C2×Dic22—21no—
610C2×Dic22—21no—
611C2×Dic22C2411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×Q16—41no—
614C11×Q16—41no—
615C11×SD16—41no—
616C11×SD16—41no—
617C11×SD16—41no—
618C11×SD16—41no—
619C11×D8—41no—
620C11×D8—41no—
621C2×C8×C11C2411yescharacteristic
622C2×C8×C11C2411yescharacteristic
623C2×C8×C11C2411yescharacteristic
624C2×C8×C11C2411yescharacteristic
625C11×C4⋊C4—21no—
626C11×C4⋊C4—21no—
627C11×C4⋊C4—21no—
628C11×C4⋊C4—21no—
629C11×C4⋊C4—21no—
630C11×C4⋊C4—21no—
631C11×C4⋊C4C2411yescharacteristic
632C11×C4⋊C4C2411yescharacteristic
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C11×C22⋊C4—21no—
640C11×C22⋊C4—21no—
641C11×C22⋊C4—21no—
642C42×C11—21no—
643C42×C11C2×D411yescharacteristic
644C42×C11C2×D411yescharacteristic
645C42×C11C2411yescharacteristic
646C42×C11C2411yescharacteristic
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11—21no—
653C22⋊Dic11—21no—
654C22⋊Dic11—21no—
655#4326—22no—
656#4326—41no—
657#4326—41no—
658#4325—22no—
659#4325—41no—
660#4325—41no—
661#4324—22no—
662#4324—41no—
663#4324—41no—
664#4323—22no—
665#4323—41no—
666#4323—41no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4C2×D411yescharacteristic
686(C2×D11)⋊C4C2×D411yescharacteristic
687(C2×D11)⋊C4C2×D411yescharacteristic
688(C2×D11)⋊C4C2×D411yescharacteristic
689(C2×D11)⋊C4C2×D411yescharacteristic
690(C2×D11)⋊C4C2×D411yescharacteristic
691(C2×D11)⋊C4C2×D411yescharacteristic
692(C2×D11)⋊C4C2×D411yescharacteristic
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11C2×D411yescharacteristic
696C4⋊Dic11C2×D411yescharacteristic
697C4⋊Dic11C2×D411yescharacteristic
698C4⋊Dic11C2×D411yescharacteristic
699C4⋊Dic11C2411yescharacteristic
700C4⋊Dic11C2411yescharacteristic
701C4⋊Dic11C2411yescharacteristic
702C4⋊Dic11C2411yescharacteristic
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715Dic11⋊C4—21no—
716Dic11⋊C4—21no—
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11—21no—
723C2×C11⋊C8C2411yescharacteristic
724C2×C11⋊C8C2411yescharacteristic
725C2×C11⋊C8C2411yescharacteristic
726C2×C11⋊C8C2411yescharacteristic
727Dic44—22no—
728D88—22no—
729#4314—22no—
730#4314—22no—
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#3212D1111yescharacteristic, complemented
759#3197—111no—
760#3196—111no—
761#3191—111no—
762#3188—111no—
763#3111—111no—
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×C11—21no—
773C23×C11C22×D411yescharacteristic
774C22×D11—21no—
775C22×D11—22no—
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×C11—21no—
799Q8×C11—21no—
800Q8×C11—21no—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—21no—
804D4×C11—21no—
805D4×C11—21no—
806D4×C11—21no—
807D4×C11—42no—
808D4×C11—42no—
809D4×C11—42no—
810D4×C11—42no—
811D4×C11—81no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—41no—
820C2×C4×C11—41no—
821C2×C4×C11—42no—
822C2×C4×C11—42no—
823C2×C4×C11—81no—
824C2×C4×C11C22×D411yescharacteristic
825C2×C4×C11C22×D411yescharacteristic
826C2×C4×C11C22×D411yescharacteristic
827C2×C4×C11C22×D411yescharacteristic
828C2×C4×C11C22×D411yescharacteristic
829C2×C4×C11C2511yescharacteristic
830C22⋊D11—24no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—42no—
834C22⋊D11—42no—
835C22⋊D11—42no—
836C22⋊D11—42no—
837C22⋊D11—42no—
838C22⋊D11—42no—
839C22⋊D11—81no—
840C22⋊D11—81no—
841C22⋊D11—81no—
842C22⋊D11—81no—
843C22⋊D11—81no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—21no—
848C2×Dic11—21no—
849C2×Dic11—21no—
850C2×Dic11—41no—
851C2×Dic11—41no—
852C2×Dic11—42no—
853C2×Dic11—42no—
854C2×Dic11—81no—
855C2×Dic11C22×D411yescharacteristic
856C2×Dic11C22×D411yescharacteristic
857C2×Dic11C22×D411yescharacteristic
858C2×Dic11C22×D411yescharacteristic
859D44—22no—
860D44—22no—
861D44—21no—
862D44—21no—
863D44—21no—
864D44—41no—
865D44—41no—
866D44—42no—
867D44—42no—
868D44—42no—
869D44—81no—
870D44—81no—
871D44H(5,𝔽2)12yes—
872C4×D11—24no—
873C4×D11—21no—
874C4×D11—21no—
875C4×D11—21no—
876C4×D11—21no—
877C4×D11—21no—
878C4×D11—21no—
879C4×D11—21no—
880C4×D11—21no—
881C4×D11—41no—
882C4×D11—41no—
883C4×D11—41no—
884C4×D11—41no—
885C4×D11—42no—
886C4×D11—42no—
887C4×D11—42no—
888C4×D11—42no—
889C4×D11—42no—
890C4×D11—42no—
891C4×D11—81no—
892C4×D11—81no—
893C4×D11—81no—
894C4×D11—81no—
895C4×D11—81no—
896Dic22—21no—
897Dic22—21no—
898Dic22—21no—
899Dic22—42no—
900Dic22—42no—
901Dic22—81no—
902Dic22H(5,𝔽2)12yes—
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—221no—
949#532C2×D1111yescharacteristic, complemented
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×#41—111no—
962C2×C4×D4—111no—
963C2×C4×D4—221no—
964#497—111no—
965#496—111no—
966#495C2×D1111yescharacteristic, complemented
967#495C2×D1111yescharacteristic, complemented
968#491—111no—
969#490—111no—
970#488C2×D1111yescharacteristic, complemented
971#488C2×D1111yescharacteristic, complemented
972#485—111no—
973#485—111no—
974#485—111no—
975#485—111no—
976#484—111no—
977#484—111no—
978#482—111no—
979#482—111no—
980#482—111no—
981#482—111no—
982#481—111no—
983#481—111no—
984#479—111no—
985#479—111no—
986#478—111no—
987#478—111no—
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#464—111no—
1008#463—111no—
1009#463—111no—
1010#463—111no—
1011#463—111no—
1012#462C2×D1111yescharacteristic, complemented
1013#461C2×D1111yescharacteristic, complemented
1014#460C2×D1111yescharacteristic, complemented
1015#459C2×D1111yescharacteristic, complemented
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#452C2×D1111yescharacteristic, complemented
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#449C2×D1111yescharacteristic, complemented
1043#449C2×D1111yescharacteristic, complemented
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#442—111no—
1053#441—111no—
1054#440—111no—
1055#440—111no—
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#432—111no—
1069#431C2×D1111yescharacteristic, complemented
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—21no—
1085C22×C11—41no—
1086C22×C11—41no—
1087C22×C11—41no—
1088C22×C11—41no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11—41no—
1092C22×C11—41no—
1093C22×C11—41no—
1094C22×C11C23×D411yescharacteristic
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—21no—
1099C2×D11—21no—
1100C2×D11—22no—
1101C2×D11—21no—
1102C2×D11—21no—
1103C2×D11—21no—
1104C2×D11—21no—
1105C2×D11—21no—
1106C2×D11—21no—
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—21no—
1122C4×C11—21no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11—41no—
1127C4×C11—41no—
1128C4×C11C2×H(5,𝔽2)11yescharacteristic
1129C4×C11C2×H(5,𝔽2)11yescharacteristic
1130Dic11—22no—
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—221no—
1148C2×#41—221no—
1149C2×#41—221no—
1150C2×#41—221no—
1151C2×#41—442no—
1152C2×#41—442no—
1153C2×#41—442no—
1154C2×#41—442no—
1155C2×#41C22×D1111yescharacteristic
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—442no—
1183C2×Q16C22×D1111yescharacteristic
1184C2×Q16C22×D1111yescharacteristic
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—442no—
1194C2×SD16C22×D1111yescharacteristic
1195C2×SD16C22×D1111yescharacteristic
1196C2×SD16C22×D1111yescharacteristic
1197C2×SD16C22×D1111yescharacteristic
1198C2×D8—111no—
1199C2×D8—111no—
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8C22×D1111yescharacteristic
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—221no—
1213C4⋊Q8C22×D1111yescharacteristic
1214#127—221no—
1215#127C22×D1111yescharacteristic
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—221no—
1228#124—221no—
1229#124—221no—
1230#124—221no—
1231#124C22×D1111yescharacteristic
1232#124C22×D1111yescharacteristic
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—21no—
1269#121—21no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—111no—
1278#121—111no—
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×Q8—111no—
1308C4×Q8—111no—
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—111no—
1323C4×D4—111no—
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×D4—221no—
1342C4×D4—221no—
1343C4×D4C22×D1111yescharacteristic
1344#117—21no—
1345#117—111no—
1346#117—111no—
1347#117—111no—
1348#117—221no—
1349#117—221no—
1350#117—221no—
1351#117—221no—
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—221no—
1366C2×C42C22×D1111yescharacteristic
1367#107—111no—
1368#107—111no—
1369#107—111no—
1370#107—111no—
1371#106—111no—
1372#106—111no—
1373#106—111no—
1374#106—111no—
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#97—111no—
1424#97—111no—
1425C4×C8C22×D1111yescharacteristic
1426C4×C8C22×D1111yescharacteristic
1427C2×C11—41no—
1428C2×C11—81no—
1429C2×C11—81no—
1430C2×C11—81no—
1431C2×C11#348411yescharacteristic
1432C2×C11C2×#57511yescharacteristic
1433C2×C11#358411yescharacteristic
1434D11—22no—
1435D11—41no—
1436D11—41no—
1437D11—41no—
1438D11—42no—
1439D11—81no—
1440C24—111no—
1441C24—111no—
1442C24—221no—
1443C24—221no—
1444C24—221no—
1445#41—41no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—222no—
1450#41—222no—
1451#41—222no—
1452#41—222no—
1453#41—222no—
1454#41—222no—
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—221no—
1470C2×Q8—221no—
1471C2×Q8—221no—
1472C2×Q8—222no—
1473C2×Q8—222no—
1474C2×Q8—441no—
1475C2×Q8—441no—
1476C2×Q8—441no—
1477C2×Q8—441no—
1478C2×Q8C23×D1111yescharacteristic
1479C2×Q8C23×D1111yescharacteristic
1480C2×Q8C23×D1111yescharacteristic
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—111no—
1487C2×D4—111no—
1488C2×D4—111no—
1489C2×D4—111no—
1490C2×D4—111no—
1491C2×D4—111no—
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—222no—
1501C2×D4—222no—
1502C2×D4—221no—
1503C2×D4—221no—
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—442no—
1514C2×D4—441no—
1515C2×D4—441no—
1516C2×D4—441no—
1517C2×D4—441no—
1518C2×D4—444no—
1519C2×D4—444no—
1520C2×D4—444no—
1521C2×D4—444no—
1522C2×D4C23×D1111yescharacteristic
1523C2×D4C23×D1111yescharacteristic
1524C2×D4C23×D1111yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—111no—
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—221no—
1539C22×C4—221no—
1540C22×C4—221no—
1541C22×C4—221no—
1542C22×C4—221no—
1543C22×C4—221no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×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—41no—
1563Q16—41no—
1564Q16—222no—
1565Q16—222no—
1566Q16—441no—
1567Q16—441no—
1568SD16—41no—
1569SD16—41no—
1570SD16—41no—
1571SD16—41no—
1572SD16—222no—
1573SD16—222no—
1574SD16—222no—
1575SD16—222no—
1576SD16—441no—
1577SD16—441no—
1578SD16—441no—
1579SD16—441no—
1580D8—41no—
1581D8—41no—
1582D8—222no—
1583D8—222no—
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—111no—
1615C4⋊C4—111no—
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⋊C4—221no—
1631C4⋊C4—221no—
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—21no—
1643C22⋊C4—111no—
1644C22⋊C4—111no—
1645C22⋊C4—111no—
1646C22⋊C4—111no—
1647C22⋊C4—111no—
1648C22⋊C4—111no—
1649C22⋊C4—111no—
1650C22⋊C4—111no—
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—221no—
1679C42—221no—
1680C42—221no—
1681C42—221no—
1682C42—221no—
1683C42—221no—
1684C42D4×D1111yescharacteristic
1685C42D4×D1111yescharacteristic
1686C42C23×D1111yescharacteristic
1687C42C23×D1111yescharacteristic
1688C11#6160611yescharacteristic, complemented, Sylow
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—111no—
1693C23—111no—
1694C23—111no—
1695C23—111no—
1696C23—222no—
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—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—112no—
1721Q8—221no—
1722Q8—221no—
1723Q8—221no—
1724Q8—442no—
1725Q8—442no—
1726Q8—881no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—42no—
1737D4—81no—
1738D4—112no—
1739D4—222no—
1740D4—222no—
1741D4—224no—
1742D4—221no—
1743D4—221no—
1744D4—221no—
1745D4—441no—
1746D4—441no—
1747D4—442no—
1748D4—442no—
1749D4—442no—
1750D4—442no—
1751D4—442no—
1752D4—442no—
1753D4—442no—
1754D4—442no—
1755D4—442no—
1756D4—442no—
1757D4—442no—
1758D4—881no—
1759D4—881no—
1760D4—881no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4—881no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—42no—
1775C2×C4—42no—
1776C2×C4—81no—
1777C2×C4—111no—
1778C2×C4—111no—
1779C2×C4—111no—
1780C2×C4—111no—
1781C2×C4—224no—
1782C2×C4—221no—
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—441no—
1807C2×C4—441no—
1808C2×C4—442no—
1809C2×C4—442no—
1810C2×C4—881no—
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—21no—
1832C22—21no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—112no—
1843C22—221no—
1844C22—221no—
1845C22—221no—
1846C22—222no—
1847C22—221no—
1848C22—221no—
1849C22—221no—
1850C22—221no—
1851C22—221no—
1852C22—221no—
1853C22—221no—
1854C22—221no—
1855C22—441no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—882no—
1861C22—882no—
1862C22—884no—
1863C22—884no—
1864C22—1762no—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—221no—
1877C4—221no—
1878C4—221no—
1879C4—221no—
1880C4—222no—
1881C4—441no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4D11×H(5,𝔽2)11yescharacteristic
1887C4D11×H(5,𝔽2)11yescharacteristic
1888C2—41no—
1889C2—81no—
1890C2—81no—
1891C2—81no—
1892C2—222no—
1893C2—441no—
1894C2—441no—
1895C2—441no—
1896C2—442no—
1897C2—881no—
1898C2#1308225011yescharacteristic
1899C2D11×#57511yescharacteristic
1900C2#1308338511yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3212C2
socleC22×C11C23×D4
hypercenter#3212D11
hypocenterC11#61606
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3212

Complements

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

NH ≅ G/Ntype
1. #13082451C2semidirect
2. #13082102C2semidirect
3. #13080883C2semidirect
4. #13080831C2semidirect
5. #13080794C2semidirect
6. #13080764C2semidirect
7. #13080749C2semidirect
8. #13080719C2semidirect
9. #13080517C2semidirect
10. #13080465C2semidirect
11. #13080356C2semidirect
12. #13080322C2semidirect
13. #13080246C2semidirect
14. #13080225C2semidirect
15. #13080192C2semidirect
16. #13080162C2semidirect
17. #13080147C2semidirect
18. #13080106C2semidirect
19. #13079653C2semidirect
20. #13079455C2semidirect
21. #13079444C2semidirect
22. #13079408C2semidirect
23. #13079379C2semidirect
24. #13078719C2semidirect
25. #13078636C2semidirect
26. #13077865C2semidirect
27. #13077859C2semidirect
28. #13077831C2semidirect
29. D11×#452C2semidirect
30. #13077650C2semidirect
31. C11×#3212C2semidirect
33. C2×#41×D11C22semidirect
34. C11×#532C22semidirect
35. C11×#529C22semidirect
37. #10623359C22semidirect
38. C2×#66971C22semidirect
39. C2×Q16×D11C22semidirect
40. C2×#66969C22semidirect
41. C2×#66967C22semidirect
42. C2×#66967C22semidirect
43. C2×SD16×D11C22semidirect
44. C2×#66965C22semidirect
45. C2×#66964C22semidirect
46. #10623258C22semidirect
49. #10623248C22semidirect
52. #10623226C22semidirect
53. #10623225C22semidirect
55. #10623208C22semidirect
56. #10623208C22semidirect
58. #10623207C22semidirect
59. #10623207C22semidirect
62. #10623158C22semidirect
63. D11×C22⋊Q8C22semidirect
68. #10623137C22semidirect
69. D11×#121C22semidirect
70. #10623112C22semidirect
74. #10623085C22semidirect
82. #10623010C22semidirect
83. C4×#4339C22semidirect
85. C11×#495C22semidirect
86. C11×#495C22semidirect
87. C11×#488C22semidirect
88. C11×#488C22semidirect
89. C11×#462C22semidirect
90. C11×#461C22semidirect
91. C11×#460C22semidirect
92. C11×#459C22semidirect
93. C11×#452C22semidirect
94. C11×#452C22semidirect
95. C11×#449C22semidirect
96. C11×#449C22semidirect
97. C11×#431C22semidirect
98. #10622852C22semidirect
99. #10622852C22semidirect
100. #10622851C22semidirect
101. #10622851C22semidirect
102. #10622802C22semidirect
103. #10622801C22semidirect
104. #10622800C22semidirect
105. #10622800C22semidirect
106. #10622800C22semidirect
107. #10622799C22semidirect
108. #10622787C22semidirect
109. #10622787C22semidirect
110. #10622786C22semidirect
111. #10622786C22semidirect
112. #10622786C22semidirect
113. #10622785C22semidirect
114. #10622784C22semidirect
115. #10622784C22semidirect
116. #10622783C22semidirect
117. #10622783C22semidirect
118. #10622783C22semidirect
119. #10622782C22semidirect
120. #10622772C22semidirect
121. #10622771C22semidirect
122. #10622770C22semidirect
123. #10622769C22semidirect
124. #10622769C22semidirect
125. #10622769C22semidirect
126. #10622699C22semidirect
127. #10622695C22semidirect
128. #10622687C22semidirect
129. #10622684C22semidirect
130. #10622679C22semidirect
131. #10622676C22semidirect
132. #10622670C22semidirect
133. #10622670C22semidirect
134. #10622670C22semidirect
135. #10622667C22semidirect
136. #10622667C22semidirect
137. #10622667C22semidirect
138. #10622660C22semidirect
139. #10622658C22semidirect
141. #10622648C22semidirect
142. #10622643C22semidirect
143. #10622639C22semidirect
144. #10622631C22semidirect
145. #10622627C22semidirect
146. #10622539C22semidirect
147. #10622460C22semidirect
148. #10622458C22semidirect
149. #10622457C22semidirect
150. #10622449C22semidirect
151. #10622449C22semidirect
152. #10622449C22semidirect
153. #10622449C22semidirect
154. #10622442C22semidirect
155. #10622429C22semidirect
156. #10622429C22semidirect
157. #10622428C22semidirect
158. #10622428C22semidirect
159. #10622424C22semidirect
160. #10622423C22semidirect
161. #10622422C22semidirect
162. #10622422C22semidirect
163. #10622421C22semidirect
164. #10622420C22semidirect
165. #10622420C22semidirect
166. #10622419C22semidirect
167. #10622417C22semidirect
168. #10622416C22semidirect
169. #10622415C22semidirect
170. D11×#103C22semidirect
171. #10622397C22semidirect
172. #10622397C22semidirect
173. #10622396C22semidirect
174. #10622394C22semidirect
175. #10622393C22semidirect
176. #10622393C22semidirect
177. #10622390C22semidirect
178. #10622390C22semidirect
179. #10622389C22semidirect
180. #10622388C22semidirect
181. #10622388C22semidirect
182. #10622386C22semidirect
183. #10622385C22semidirect
184. #10622384C22semidirect
185. #10622383C22semidirect
186. D11×#102C22semidirect
187. #10622350C22semidirect
189. #10622346C22semidirect
190. #10622339C22semidirect
191. #10622339C22semidirect
192. D11×C22⋊C8C22semidirect
193. D11×C22⋊C8C22semidirect
194. #10622336C22semidirect
195. C4×Dic44C22semidirect
196. C4×D88C22semidirect
197. C4×#4314C22semidirect
198. C4×#4314C22semidirect
199. #10622301C22semidirect
200. #10622301C22semidirect
201. C8×D44C22semidirect
202. C8×D44C22semidirect
758. #3212D11semidirect
949. #532C2×D11semidirect
951. #529C2×D11semidirect
966. #495C2×D11semidirect
967. #495C2×D11semidirect
970. #488C2×D11semidirect
971. #488C2×D11semidirect
1012. #462C2×D11semidirect
1013. #461C2×D11semidirect
1014. #460C2×D11semidirect
1015. #459C2×D11semidirect
1028. #452C2×D11semidirect
1029. #452C2×D11semidirect
1042. #449C2×D11semidirect
1043. #449C2×D11semidirect
1069. #431C2×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
#130821022
#130808832
#130808312
#130807942
#130807642
#130807492
#130807192
#130805172
#130804652
#130803562
#130803222
#130802462
#130802252
#130801922
#130801622
#130801472
#130801062
#130796532
#130794552
#130794442
#130794082
#130793792
#130787192
#130786362
#130778652
#130778592
#130778312
D11×#4522
#130776502
C11×#32122
#6160611