Finite Group Databasebeta

← #15646035

Subgroups — #15646035

Order 2816.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082571C211yesmaximal, characteristic, complemented
2#13082229C211yesmaximal, characteristic, complemented
3#13081609C211yesmaximal, characteristic, complemented
4#13081601C211yesmaximal, characteristic, complemented
5#13081309C211yesmaximal, characteristic, complemented
6#13081298C211yesmaximal, characteristic, complemented
7#13080507C211yesmaximal, characteristic, complemented
8#13080502C211yesmaximal, characteristic, complemented
9#13080474C211yesmaximal, characteristic, complemented
10#13080455C211yesmaximal, characteristic, complemented
11#13080450C211yesmaximal, characteristic, complemented
12#13080422C211yesmaximal, characteristic, complemented
13#13080361C211yesmaximal, characteristic, complemented
14#13080356C211yesmaximal, characteristic, complemented
15#13080350C211yesmaximal, characteristic, complemented
16#13080327C211yesmaximal, characteristic, complemented
17#13080322C211yesmaximal, characteristic, complemented
18#13080310C211yesmaximal, characteristic, complemented
19#13079965C211yesmaximal, characteristic, complemented
20#13079963C211yesmaximal, characteristic, complemented
21#13079950C211yesmaximal, characteristic, complemented
22#13079579C211yesmaximal, characteristic, complemented
23#13079571C211yesmaximal, characteristic, complemented
24#13078698C211yesmaximal, characteristic, complemented
25#13078695C211yesmaximal, characteristic, complemented
26#13078631C211yesmaximal, characteristic, complemented
27#13078068C211yesmaximal, characteristic, complemented
28C2×#10622667C211yesmaximal, characteristic, complemented
29D11×#464C211yesmaximal, characteristic, complemented
30#13077724C211yesmaximal, characteristic, complemented
31C11×#3211C211yesmaximal, characteristic, complemented
32C11×#529C2211yescharacteristic, complemented
33C2×C11×#124C2211yescharacteristic
34#10623348C2211yescharacteristic
35Q8×C22⋊D11C2211yescharacteristic
36C22×#4326C2211yescharacteristic, complemented
37#10623337C2211yescharacteristic
38D4×C22⋊D11C2211yescharacteristic
39C22×#4324C2211yescharacteristic
40C2×Q16×D11C2211yescharacteristic, complemented
41C2×#66969C2211yescharacteristic, complemented
42C2×SD16×D11C2211yescharacteristic
43C2×#66965C2211yescharacteristic, complemented
44#10623239—21no—
45#10623233—21no—
46#10623225C2211yescharacteristic, complemented
47#10623216C2211yescharacteristic, complemented
48#10623212C2211yescharacteristic
49#10623211C2211yescharacteristic
50#10623211C2211yescharacteristic
51#10623210—21no—
52#10623209—21no—
53#10623208C2211yescharacteristic
54#10623208C2211yescharacteristic, complemented
55#10623207C2211yescharacteristic
56D11×#124C2211yescharacteristic
57#10623202C2211yescharacteristic
58#10623202C2211yescharacteristic, complemented
59#10623201—21no—
60#10623200—21no—
61#10623199C2211yescharacteristic
62#10623186—21no—
63#10623181—21no—
64#10623173C2211yescharacteristic, complemented
65#10623163C2211yescharacteristic
66#10623142C2211yescharacteristic
67#10623129C2211yescharacteristic, complemented
68#10623109C2211yescharacteristic, complemented
69C4×Q8×D11C2211yescharacteristic, complemented
70#10623088C2211yescharacteristic, complemented
71#10623069—21no—
72C4×#4341—21no—
73C4×#4341C2211yescharacteristic, complemented
74#10623059—21no—
75#10623048—21no—
76#10623026—21no—
77#10623025—21no—
78#10623021—21no—
79#10623017—21no—
80#10623010C2211yescharacteristic
81C4×#4339C2211yescharacteristic
82C2×C4×Dic22C2211yescharacteristic, complemented
83C11×#495C2211yescharacteristic
84C11×#495C2211yescharacteristic, complemented
85C11×#488C2211yescharacteristic
86C11×#488C2211yescharacteristic, complemented
87C11×#464C2211yescharacteristic
88C11×#464C2211yescharacteristic, complemented
89C11×#463C2211yescharacteristic
90C11×#463C2211yescharacteristic, complemented
91C11×#451C2211yescharacteristic, complemented
92C11×#450C2211yescharacteristic
93C11×#448C2211yescharacteristic, complemented
94C11×#447C2211yescharacteristic
95C11×#431C2211yescharacteristic, complemented
96C2×#66899C2211yescharacteristic, complemented
97C2×#66896C2211yescharacteristic
98#10622801C2211yescharacteristic, complemented
99#10622800C2211yescharacteristic, complemented
100#10622799C2211yescharacteristic, complemented
101#10622798C2211yescharacteristic, complemented
102Q16×Dic11C2211yescharacteristic, complemented
103#10622795C2211yescharacteristic, complemented
104#10622794C2211yescharacteristic, complemented
105#10622788C2211yescharacteristic
106#10622786C2211yescharacteristic, complemented
107#10622786C2211yescharacteristic, complemented
108#10622784C2211yescharacteristic
109#10622784C2211yescharacteristic, complemented
110#10622783C2211yescharacteristic
111#10622783C2211yescharacteristic, complemented
112#10622781C2211yescharacteristic, complemented
113#10622779C2211yescharacteristic
114#10622779C2211yescharacteristic, complemented
115#10622775C2211yescharacteristic
116#10622775C2211yescharacteristic, complemented
117SD16×Dic11C2211yescharacteristic, complemented
118SD16×Dic11C2211yescharacteristic, complemented
119#10622771C2211yescharacteristic
120#10622770C2211yescharacteristic
121#10622769C2211yescharacteristic
122#10622768C2211yescharacteristic
123#10622766C2211yescharacteristic, complemented
124#10622763C2211yescharacteristic
125D8×Dic11C2211yescharacteristic
126#10622679C2211yescharacteristic, complemented
127#10622676C2211yescharacteristic, complemented
128#10622670C2211yescharacteristic, complemented
129#10622667C2211yescharacteristic
130#10622667C2211yescharacteristic
131#10622667C2211yescharacteristic
132#10622667C2211yescharacteristic
133#10622667C2211yescharacteristic, complemented
134#10622667C2211yescharacteristic, complemented
135#10622667C2211yescharacteristic, complemented
136#10622667C2211yescharacteristic, complemented
137#10622667C2211yescharacteristic, complemented
138#10622664C2211yescharacteristic, complemented
139#10622661C2211yescharacteristic
140#10622654C2211yescharacteristic, complemented
141#10622651C2211yescharacteristic
142#10622641C2211yescharacteristic, complemented
143#10622635C2211yescharacteristic, complemented
144#10622629C2211yescharacteristic, complemented
145#10622622C2211yescharacteristic, complemented
146C2×C4⋊(C11⋊C8)C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622446C2211yescharacteristic, complemented
150#10622446C2211yescharacteristic, complemented
151D11×C4⋊C8C2211yescharacteristic, complemented
152D11×C4⋊C8C2211yescharacteristic, complemented
153#10622442C2211yescharacteristic, complemented
154#10622442C2211yescharacteristic, complemented
155#10622427C2211yescharacteristic, complemented
156#10622426C2211yescharacteristic, complemented
157#10622426C2211yescharacteristic, complemented
158#10622423C2211yescharacteristic, complemented
159#10622421C2211yescharacteristic, complemented
160#10622418C2211yescharacteristic, complemented
161#10622417C2211yescharacteristic, complemented
162D11×#103C2211yescharacteristic, complemented
163#10622413C2211yescharacteristic, complemented
164#10622411C2211yescharacteristic, complemented
165#10622409C2211yescharacteristic, complemented
166#10622406C2211yescharacteristic, complemented
167#10622405C2211yescharacteristic, complemented
168#10622404C2211yescharacteristic, complemented
169#10622403C2211yescharacteristic, complemented
170#10622403C2211yescharacteristic, complemented
171#10622396C2211yescharacteristic, complemented
172#10622392C2211yescharacteristic
173#10622391C2211yescharacteristic
174#10622391C2211yescharacteristic
175#10622389C2211yescharacteristic
176#10622387C2211yescharacteristic
177#10622385C2211yescharacteristic, complemented
178D11×#102C2211yescharacteristic
179#10622381C2211yescharacteristic
180#10622380C2211yescharacteristic
181#10622376C2211yescharacteristic, complemented
182#10622375C2211yescharacteristic
183#10622373C2211yescharacteristic
184#10622372C2211yescharacteristic
185#10622371C2211yescharacteristic
186#10622371C2211yescharacteristic, complemented
187#10622352C2211yescharacteristic, complemented
188#10622351C2211yescharacteristic
189#10622349C2211yescharacteristic
190(C22⋊D11)⋊C8C2211yescharacteristic
191(C22⋊D11)⋊C8C2211yescharacteristic
192(C22⋊D11)⋊C8C2211yescharacteristic, complemented
193(C22⋊D11)⋊C8C2211yescharacteristic, complemented
194#10622334C2211yescharacteristic, complemented
195C4×Dic44C2211yescharacteristic, complemented
196C4×Dic44C2211yescharacteristic, complemented
197C4×#4314C2211yescharacteristic, complemented
198C4×#4314C2211yescharacteristic, complemented
199C8×D44C2211yescharacteristic, complemented
200C8×D44C2211yescharacteristic, complemented
201C8×Dic22C2211yescharacteristic, complemented
202C8×Dic22C2211yescharacteristic, complemented
203C22×Q8×C11C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C2×#4343C2311yescharacteristic
207C2×Q8×D11C2311yescharacteristic
208C2×Q8×D11C2311yescharacteristic
209C2×#4341—21no—
210C2×#4341C2311yescharacteristic
211C2×#4341C2311yescharacteristic
212C2×D4×D11C2311yescharacteristic
213C2×#4339D411yescharacteristic
214C22×Dic22C2311yescharacteristic
215C2×C11×Q16C2311yescharacteristic
216C2×C11×Q16C2311yescharacteristic
217C2×C11×SD16C2311yescharacteristic
218C2×C11×SD16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×SD16C2311yescharacteristic
221C2×C11×D8C2311yescharacteristic
222C2×C11×D8C2311yescharacteristic
223C11×#126—21no—
224C11×#125C2311yescharacteristic
225C11×#124—21no—
226C11×#124—21no—
227C11×#124C2311yescharacteristic
228C11×#124C2311yescharacteristic
229C11×#124C2311yescharacteristic
230C11×#124C2311yescharacteristic
231C11×#124C2311yescharacteristic
232C11×#123—21no—
233C11×C22⋊Q8C2311yescharacteristic
234C11×#121C2311yescharacteristic
235C4×Q8×C11C2311yescharacteristic
236C4×D4×C11—21no—
237C4×D4×C11C2311yescharacteristic
238C11×#117—21no—
239C2×C11×C22⋊C4—21no—
240C2×C11×C22⋊C4—21no—
241C2×C42×C11C2311yescharacteristic
242#67006—21no—
243#67006—21no—
244C2×C22⋊Dic11—21no—
245#67000—21no—
246#67000C2311yescharacteristic
247#66999—21no—
248#66999—21no—
249#66999C2311yescharacteristic
250#66999C2311yescharacteristic
251#66999C2311yescharacteristic
252Q8×Dic11C2311yescharacteristic
253Q8×Dic11C2311yescharacteristic
254Q8×Dic11C2311yescharacteristic
255#66997—21no—
256#66997C2311yescharacteristic
257#66997C2311yescharacteristic
258C2×#4326—42no—
259C2×#4326C2311yescharacteristic
260C2×#4326C2311yescharacteristic
261C2×#4326C2311yescharacteristic
262C2×#4326C2311yescharacteristic
263C2×#4326C2311yescharacteristic
264C2×#4325C2311yescharacteristic
265#66993C2311yescharacteristic
266#66992—21no—
267#66992—21no—
268#66992—21no—
269#66991C2311yescharacteristic
270#66991C2311yescharacteristic
271#66991C2311yescharacteristic
272#66990—21no—
273#66989C2311yescharacteristic
274#66989C2311yescharacteristic
275#66988—21no—
276#66988—21no—
277D4×Dic11—21no—
278D4×Dic11C2311yescharacteristic
279D4×Dic11C2311yescharacteristic
280D4×Dic11C2311yescharacteristic
281C2×#4324—42no—
282C2×#4324C2311yescharacteristic
283C2×#4324C2311yescharacteristic
284C2×#4324C2311yescharacteristic
285C2×#4324C2311yescharacteristic
286C2×#4324C2311yescharacteristic
287C2×#4323C2311yescharacteristic
288#66983—21no—
289#66983C2311yescharacteristic
290#66982—21no—
291C4×C22⋊D11—21no—
292C4×C22⋊D11—21no—
293C4×C22⋊D11—21no—
294C4×C22⋊D11—21no—
295C4×C22⋊D11—21no—
296C4×C22⋊D11D411yescharacteristic
297C4×C22⋊D11D411yescharacteristic
298C4×C22⋊D11C2311yescharacteristic
299C4×C22⋊D11C2311yescharacteristic
300#66979—21no—
301#66979D411yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303#66977—21no—
304#66977C2311yescharacteristic
305C2×Dic11⋊C4—21no—
306C2×C4×Dic11—21no—
307C2×C4×Dic11—21no—
308C22×C11⋊C8C2311yescharacteristic
309C22×C11⋊C8C2311yescharacteristic
310Q16×D11—42no—
311#66969—42no—
312SD16×D11—42no—
313#66965—42no—
314C2×Dic44C2311yescharacteristic
315C2×Dic44C2311yescharacteristic
316C2×#4314C2311yescharacteristic
317C2×#4314C2311yescharacteristic
318C2×C8×D11C2311yescharacteristic
319C2×C8×D11C2311yescharacteristic
320C2×C8×D11C2311yescharacteristic
321C2×C8×D11C2311yescharacteristic
322#66951—21no—
323#66951—21no—
324#66950C2311yescharacteristic
325#66950C2311yescharacteristic
326#66949—21no—
327#66949—21no—
328#66947—21no—
329#66945—21no—
330#66945C2311yescharacteristic
331C4⋊C4×D11—21no—
332C4⋊C4×D11C2311yescharacteristic
333#66943—21no—
334#66943—21no—
335#66943C2311yescharacteristic
336#66942—21no—
337#66942—21no—
338#66942—21no—
339#66941—21no—
340#66941—21no—
341#66941C2311yescharacteristic
342#66940—21no—
343#66940—21no—
344#66940C2311yescharacteristic
345#66940C2311yescharacteristic
346#66939—21no—
347#66939—21no—
348#66938—21no—
349#66938—21no—
350#66938—21no—
351#66938—21no—
352#66938—21no—
353#66938—21no—
354#66937—21no—
355#66937—21no—
356#66937—21no—
357#66937—21no—
358#66937—21no—
359#66936—21no—
360#66936—21no—
361#66936—21no—
362#66936—21no—
363#66936—21no—
364#66936—21no—
365#66935—21no—
366(C22⋊D11)⋊C4—21no—
367(C22⋊D11)⋊C4—21no—
368(C22⋊D11)⋊C4—21no—
369(C22⋊D11)⋊C4—21no—
370(C22⋊D11)⋊C4—21no—
371(C22⋊D11)⋊C4—21no—
372(C22⋊D11)⋊C4—21no—
373(C22⋊D11)⋊C4—21no—
374(C22⋊D11)⋊C4—21no—
375C22⋊C4×D11—21no—
376C22⋊C4×D11—21no—
377C22⋊C4×D11—21no—
378#66932—21no—
379#66932—21no—
380#66932—21no—
381#66932—21no—
382#66932—21no—
383#66932—21no—
384#66932—21no—
385#66931—21no—
386#66931—21no—
387#66931—21no—
388#66931—21no—
389#66931—21no—
390#66931—21no—
391#66931—21no—
392#66930—21no—
393#66930—21no—
394#66930—21no—
395#66930—21no—
396#66930—21no—
397#66930—21no—
398#66929—21no—
399#66928C2311yescharacteristic
400C4×D44D411yescharacteristic
401C4×D44C2311yescharacteristic
402C4×D44C2311yescharacteristic
403#66925—21no—
404#66925—21no—
405#66925D411yescharacteristic
406#66925D411yescharacteristic
407C42×D11—21no—
408C42×D11C2311yescharacteristic
409C42×D11C2311yescharacteristic
410#66923C2311yescharacteristic
411C4×Dic22—21no—
412C4×Dic22—21no—
413C4×Dic22—21no—
414C4×Dic22—21no—
415C4×Dic22D411yescharacteristic
416C4×Dic22C2311yescharacteristic
417C4×Dic22C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×C22⋊C8C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C4×C8×C11C2311yescharacteristic
435C4×C8×C11C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450(C2×D11)⋊C8C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454#66882C2311yescharacteristic
455#66882C2311yescharacteristic
456#66881C2311yescharacteristic
457#66881C2311yescharacteristic
458#66880C2311yescharacteristic
459#66880C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464Dic11⋊C8C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469C8×Dic11C2311yescharacteristic
470C8×Dic11C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66872C2311yescharacteristic
477#66872C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4⋊(C11⋊C8)C2311yescharacteristic
484#61956—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—21no—
487C2×Q8×C11—21no—
488C2×Q8×C11—41no—
489C2×Q8×C11—41no—
490C2×Q8×C11C2411yescharacteristic
491C2×Q8×C11C2411yescharacteristic
492C2×Q8×C11C2411yescharacteristic
493C2×D4×C11—21no—
494C2×D4×C11—21no—
495C2×D4×C11—41no—
496C2×D4×C11—41no—
497C2×D4×C11C2411yescharacteristic
498C2×D4×C11C2411yescharacteristic
499C2×D4×C11C2411yescharacteristic
500C22×C4×C11—21no—
501C22×C4×C11—21no—
502C22×C4×C11C2×D411yescharacteristic
503C22×C4×C11C2×D411yescharacteristic
504C22×C4×C11C2411yescharacteristic
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—44no—
515C2×C22⋊D11C2×D411yescharacteristic
516C2×C22⋊D11C2×D411yescharacteristic
517C22×Dic11—21no—
518C22×Dic11—21no—
519C22×Dic11—21no—
520C22×Dic11—21no—
521C22×Dic11—21no—
522C22×Dic11—21no—
523C22×Dic11—21no—
524#4343—41no—
525#4343—41no—
526Q8×D11—22no—
527Q8×D11—41no—
528Q8×D11—41no—
529Q8×D11—41no—
530#4341—22no—
531#4341—41no—
532#4341—41no—
533#4341—41no—
534#4341—44no—
535D4×D11—41no—
536D4×D11—41no—
537#4339—24no—
538C2×D44—21no—
539C2×D44C2×D411yescharacteristic
540C2×D44C2411yescharacteristic
541C2×C4×D11—21no—
542C2×C4×D11—21no—
543C2×C4×D11—21no—
544C2×C4×D11—21no—
545C2×C4×D11—21no—
546C2×C4×D11C2×D411yescharacteristic
547C2×C4×D11C2×D411yescharacteristic
548C2×C4×D11C2×D411yescharacteristic
549C2×C4×D11C2×D411yescharacteristic
550C2×C4×D11C2411yescharacteristic
551C2×C4×D11C2411yescharacteristic
552C2×Dic22—22no—
553C2×Dic22—21no—
554C2×Dic22—21no—
555C2×Dic22—21no—
556C2×Dic22—21no—
557C2×Dic22—41no—
558C2×Dic22C2×D411yescharacteristic
559C2×Dic22C2411yescharacteristic
560C2×Dic22C2411yescharacteristic
561C2×Dic22C2411yescharacteristic
562C11×Q16—41no—
563C11×Q16—41no—
564C11×SD16—41no—
565C11×SD16—41no—
566C11×SD16—41no—
567C11×SD16—41no—
568C11×D8—41no—
569C11×D8—41no—
570C2×C8×C11C2411yescharacteristic
571C2×C8×C11C2411yescharacteristic
572C2×C8×C11C2411yescharacteristic
573C2×C8×C11C2411yescharacteristic
574C11×C4⋊C4—21no—
575C11×C4⋊C4—21no—
576C11×C4⋊C4—21no—
577C11×C4⋊C4—21no—
578C11×C4⋊C4C2411yescharacteristic
579C11×C4⋊C4C2411yescharacteristic
580C11×C22⋊C4—21no—
581C11×C22⋊C4—21no—
582C11×C22⋊C4—21no—
583C11×C22⋊C4—21no—
584C11×C22⋊C4—21no—
585C11×C22⋊C4—21no—
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
588C11×C22⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
591C11×C22⋊C4—21no—
592C11×C22⋊C4—21no—
593C42×C11—21no—
594C42×C11C2×D411yescharacteristic
595C42×C11C2×D411yescharacteristic
596C42×C11C2411yescharacteristic
597C42×C11C2411yescharacteristic
598C22⋊Dic11—21no—
599C22⋊Dic11—21no—
600C22⋊Dic11—21no—
601C22⋊Dic11—21no—
602C22⋊Dic11—21no—
603C22⋊Dic11—21no—
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11C2×D411yescharacteristic
610C22⋊Dic11C2×D411yescharacteristic
611#4326—22no—
612#4326—22no—
613#4326—41no—
614#4326—41no—
615#4326—41no—
616#4325—41no—
617#4324—22no—
618#4324—22no—
619#4324—41no—
620#4324—41no—
621#4324—41no—
622#4323—41no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4C2×D411yescharacteristic
636(C2×D11)⋊C4C2×D411yescharacteristic
637(C2×D11)⋊C4C2×D411yescharacteristic
638(C2×D11)⋊C4C2×D411yescharacteristic
639C4⋊Dic11—21no—
640C4⋊Dic11—21no—
641C4⋊Dic11—21no—
642C4⋊Dic11—21no—
643C4⋊Dic11—21no—
644C4⋊Dic11—21no—
645C4⋊Dic11—21no—
646C4⋊Dic11C2×D411yescharacteristic
647C4⋊Dic11C2×D411yescharacteristic
648C4⋊Dic11C2411yescharacteristic
649C4⋊Dic11C2411yescharacteristic
650C4⋊Dic11C2411yescharacteristic
651C4⋊Dic11C2411yescharacteristic
652Dic11⋊C4—21no—
653Dic11⋊C4—21no—
654Dic11⋊C4—21no—
655Dic11⋊C4—21no—
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4—21no—
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4—21no—
663Dic11⋊C4—21no—
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4C2×D411yescharacteristic
673Dic11⋊C4C2×D411yescharacteristic
674Dic11⋊C4C2×D411yescharacteristic
675Dic11⋊C4C2×D411yescharacteristic
676C4×Dic11—21no—
677C4×Dic11—21no—
678C4×Dic11—21no—
679C4×Dic11—21no—
680C4×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11C2×D411yescharacteristic
688C4×Dic11C2×D411yescharacteristic
689C4×Dic11C2×D411yescharacteristic
690C4×Dic11C2×D411yescharacteristic
691C4×Dic11C2411yescharacteristic
692C4×Dic11C2411yescharacteristic
693C2×C11⋊C8—41no—
694C2×C11⋊C8—41no—
695C2×C11⋊C8C2411yescharacteristic
696C2×C11⋊C8C2411yescharacteristic
697C2×C11⋊C8C2411yescharacteristic
698C2×C11⋊C8C2411yescharacteristic
699Dic44—22no—
700Dic44—41no—
701#4314—22no—
702#4314—41no—
703C8×D11—41no—
704C8×D11—41no—
705C8×D11—41no—
706C8×D11—41no—
707#3514—111no—
708#3482—111no—
709#3394—111no—
710#3393—111no—
711#3365—111no—
712#3364—111no—
713#3300—111no—
714#3300—111no—
715#3298—111no—
716#3296—111no—
717#3296—111no—
718#3294—111no—
719D4×Q16—111no—
720#3285—111no—
721#3285—111no—
722#3282—111no—
723#3282—111no—
724D4×SD16—111no—
725#3250—111no—
726#3250—111no—
727#3248—111no—
728#3211—111no—
729#3211D1111yescharacteristic, complemented
730#3210—111no—
731#3108—111no—
732#3108—111no—
733#3102—111no—
734#3035—111no—
735C2×#464—111no—
736C2×#464—111no—
737#2988—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—21no—
741C23×C11—42no—
742C23×C11—81no—
743C23×C11—81no—
744C23×C11C22×D411yescharacteristic
745C22×D11—21no—
746C22×D11—42no—
747C22×D11—81no—
748C22×D11—81no—
749C22×D11C22×D411yescharacteristic
750C22×D11C22×D411yescharacteristic
751Q8×C11—21no—
752Q8×C11—21no—
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—21no—
756Q8×C11—21no—
757Q8×C11—81no—
758D4×C11—21no—
759D4×C11—21no—
760D4×C11—21no—
761D4×C11—21no—
762D4×C11—21no—
763D4×C11—21no—
764D4×C11—42no—
765D4×C11—81no—
766C2×C4×C11—22no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—41no—
775C2×C4×C11—42no—
776C2×C4×C11—81no—
777C2×C4×C11C22×D411yescharacteristic
778C2×C4×C11C22×D411yescharacteristic
779C2×C4×C11C22×D411yescharacteristic
780C2×C4×C11C22×D411yescharacteristic
781C2×C4×C11C22×D411yescharacteristic
782C2×C4×C11C2511yescharacteristic
783C22⋊D11—22no—
784C22⋊D11—42no—
785C22⋊D11—42no—
786C22⋊D11—42no—
787C22⋊D11—42no—
788C22⋊D11—42no—
789C22⋊D11—81no—
790C22⋊D11—81no—
791C22⋊D11—81no—
792C22⋊D11—81no—
793C22⋊D11#13514yescomplemented
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—42no—
802C2×Dic11—42no—
803C2×Dic11—42no—
804C2×Dic11—42no—
805C2×Dic11—42no—
806C2×Dic11—81no—
807C2×Dic11—81no—
808C2×Dic11C22×D411yescharacteristic
809C2×Dic11C22×D411yescharacteristic
810C2×Dic11C22×D411yescharacteristic
811C2×Dic11C22×D411yescharacteristic
812C2×Dic11C22×D411yescharacteristic
813C2×Dic11C22×D411yescharacteristic
814D44—22no—
815D44—21no—
816D44—21no—
817D44—81no—
818C4×D11—22no—
819C4×D11—21no—
820C4×D11—21no—
821C4×D11—21no—
822C4×D11—21no—
823C4×D11—22no—
824C4×D11—41no—
825C4×D11—41no—
826C4×D11—42no—
827C4×D11—42no—
828C4×D11—81no—
829C4×D11—81no—
830C4×D11—81no—
831Dic22—21no—
832Dic22—22no—
833Dic22—21no—
834Dic22—21no—
835Dic22—21no—
836Dic22—21no—
837Dic22—42no—
838Dic22—42no—
839Dic22—42no—
840Dic22—81no—
841Dic22H(5,𝔽2)12yes—
842C8×C11—21no—
843C8×C11—21no—
844C8×C11—21no—
845C8×C11—21no—
846C11⋊C8—21no—
847C11⋊C8—21no—
848C11⋊C8—21no—
849C11⋊C8—21no—
850C2×#135—111no—
851C2×#135—111no—
852C22×Q16—111no—
853C22×Q16—111no—
854C22×SD16—111no—
855C22×SD16—111no—
856#559—111no—
857#557—111no—
858#556—111no—
859#556—111no—
860#556—221no—
861#555—221no—
862#552—111no—
863#552—111no—
864#552—221no—
865#552—221no—
866#551—221no—
867#551—221no—
868D4×Q8—111no—
869D4×Q8—111no—
870#548—111no—
871#548—111no—
872#548—111no—
873#548—111no—
874#547—111no—
875#547—221no—
876#546—111no—
877#546—111no—
878#546—221no—
879D42—111no—
880#542—221no—
881#538—221no—
882#538—221no—
883#533—111no—
884#533—221no—
885#532—111no—
886#529—111no—
887#529—111no—
888#529—111no—
889#529—111no—
890#529—221no—
891#529—221no—
892#529C2×D1111yescharacteristic, complemented
893C2×#124—111no—
894C2×#124C2×D1111yescharacteristic
895#518—221no—
896C4×#41—111no—
897C4×#41—111no—
898C4×#41—221no—
899C2×C4×Q8—111no—
900C2×C4×Q8—111no—
901#495—111no—
902#495—111no—
903#495C2×D1111yescharacteristic
904#495C2×D1111yescharacteristic, complemented
905#494—111no—
906#492—111no—
907#488—111no—
908#488—111no—
909#488C2×D1111yescharacteristic
910#488C2×D1111yescharacteristic, complemented
911#487—111no—
912#486—111no—
913#485—111no—
914#483—111no—
915#483—111no—
916#482—111no—
917#480—111no—
918#480—111no—
919#479—111no—
920#479—111no—
921#479—111no—
922#479—111no—
923#479—111no—
924#478—111no—
925#478—111no—
926#478—111no—
927#475—111no—
928#474—111no—
929#467—111no—
930#467—111no—
931#467—111no—
932#467—111no—
933#466—111no—
934#466—111no—
935#465—111no—
936#465—111no—
937#465—111no—
938#465—111no—
939#465—111no—
940#465—111no—
941#464—111no—
942#464—111no—
943#464—111no—
944#464—111no—
945#464—111no—
946#464—111no—
947#464—111no—
948#464—111no—
949#464—111no—
950#464—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#464—111no—
957#464—111no—
958#464C2×D1111yescharacteristic
959#464C2×D1111yescharacteristic, complemented
960#463—111no—
961#463—111no—
962#463—111no—
963#463C2×D1111yescharacteristic
964#463C2×D1111yescharacteristic, complemented
965#462—111no—
966#462—111no—
967#461—111no—
968#461—111no—
969#460—111no—
970#459—111no—
971#452—111no—
972#452—111no—
973#452—111no—
974#452—111no—
975#452—111no—
976#451—111no—
977#451—111no—
978#451—111no—
979#451C2×D1111yescharacteristic, complemented
980#450—111no—
981#450C2×D1111yescharacteristic
982#449—111no—
983#448—111no—
984#448—111no—
985#448—111no—
986#448C2×D1111yescharacteristic, complemented
987#447—111no—
988#447C2×D1111yescharacteristic
989C8×Q8—111no—
990C8×Q8—111no—
991C4×Q16—111no—
992C4×Q16—111no—
993C4×Q16—111no—
994C4×Q16—111no—
995C4×Q16—111no—
996C4×SD16—111no—
997C4×SD16—111no—
998C4×SD16—111no—
999C4×SD16—111no—
1000C4×SD16—111no—
1001C4×SD16—111no—
1002C4×D8—111no—
1003C8×D4—111no—
1004C8×D4—111no—
1005C8×D4—111no—
1006C8×D4—111no—
1007C8×D4—111no—
1008C8×D4—111no—
1009#431—111no—
1010#431—111no—
1011#431C2×D1111yescharacteristic, complemented
1012C2×C4⋊C8—111no—
1013C2×C4⋊C8—111no—
1014C2×C4⋊C8—111no—
1015#416—111no—
1016#416—111no—
1017C2×#103—111no—
1018C2×#103—111no—
1019C2×#102—111no—
1020C2×#102—111no—
1021C22×C11—21no—
1022C22×C11—21no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—41no—
1029C22×C11—41no—
1030C22×C11—41no—
1031C22×C11—41no—
1032C22×C11—162no—
1033C22×C11C2×#13512yes—
1034C22×C11C23×D411yescharacteristic
1035C2×D11—21no—
1036C2×D11—21no—
1037C2×D11—21no—
1038C2×D11—21no—
1039C2×D11—21no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—162no—
1044C2×D11C2×#13512yes—
1045C4×C11—21no—
1046C4×C11—21no—
1047C4×C11—21no—
1048C4×C11—21no—
1049C4×C11—21no—
1050C4×C11—41no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11C2×H(5,𝔽2)11yescharacteristic
1056C4×C11#58511yescharacteristic
1057Dic11—21no—
1058Dic11—21no—
1059Dic11—22no—
1060Dic11—21no—
1061Dic11—21no—
1062Dic11—21no—
1063Dic11—41no—
1064Dic11—41no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11C2×#13512yes—
1070C2×#41—111no—
1071C2×#41—111no—
1072C2×#41—111no—
1073C2×#41—111no—
1074C2×#41—221no—
1075C22×Q8—111no—
1076C22×Q8—111no—
1077C22×Q8—111no—
1078C22×Q8C22×D1111yescharacteristic
1079C22×D4—111no—
1080C22×D4—221no—
1081C22×D4C22×D1111yescharacteristic
1082#135—442no—
1083#135—442no—
1084C2×Q16—111no—
1085C2×Q16—111no—
1086C2×Q16—111no—
1087C2×Q16—111no—
1088C2×Q16—111no—
1089C2×Q16—111no—
1090C2×Q16—111no—
1091C2×Q16—442no—
1092C2×Q16—442no—
1093C2×Q16C22×D1111yescharacteristic
1094C2×Q16C22×D1111yescharacteristic
1095C2×SD16—111no—
1096C2×SD16—111no—
1097C2×SD16—111no—
1098C2×SD16—111no—
1099C2×SD16—111no—
1100C2×SD16—111no—
1101C2×SD16—111no—
1102C2×SD16—111no—
1103C2×SD16—442no—
1104C2×SD16—442no—
1105C2×SD16C22×D1111yescharacteristic
1106C2×SD16C22×D1111yescharacteristic
1107C2×SD16C22×D1111yescharacteristic
1108C2×SD16C22×D1111yescharacteristic
1109C2×D8—111no—
1110C2×D8C22×D1111yescharacteristic
1111C2×D8C22×D1111yescharacteristic
1112C22×C8—111no—
1113C22×C8—111no—
1114C22×C8—111no—
1115C22×C8—111no—
1116C22×C8—111no—
1117C22×C8—111no—
1118C4⋊Q8—111no—
1119C4⋊Q8—111no—
1120C4⋊Q8—111no—
1121C4⋊Q8—221no—
1122C4⋊Q8—221no—
1123C4⋊Q8—221no—
1124#127—111no—
1125#126—21no—
1126#126—221no—
1127#126—221no—
1128#126—221no—
1129#126—221no—
1130#126—221no—
1131#126—221no—
1132#126—221no—
1133#126—221no—
1134#126—221no—
1135#126—221no—
1136#125—111no—
1137#125—111no—
1138#125—221no—
1139#125—221no—
1140#125—221no—
1141#125—221no—
1142#125—221no—
1143#125C22×D1111yescharacteristic
1144#124—21no—
1145#124—21no—
1146#124—111no—
1147#124—111no—
1148#124—111no—
1149#124—111no—
1150#124—221no—
1151#124—221no—
1152#124—221no—
1153#124—221no—
1154#124—221no—
1155#124—221no—
1156#124—221no—
1157#124C22×D1111yescharacteristic
1158#124C22×D1111yescharacteristic
1159#124C22×D1111yescharacteristic
1160#124C22×D1111yescharacteristic
1161#124C22×D1111yescharacteristic
1162#123—21no—
1163#123—221no—
1164#123—221no—
1165#123—221no—
1166#123—221no—
1167#123—221no—
1168#123—221no—
1169#123—221no—
1170#123—221no—
1171#123—221no—
1172#123—221no—
1173#123—221no—
1174#123—221no—
1175C22⋊Q8—111no—
1176C22⋊Q8—111no—
1177C22⋊Q8—111no—
1178C22⋊Q8—111no—
1179C22⋊Q8—111no—
1180C22⋊Q8—111no—
1181C22⋊Q8—221no—
1182C22⋊Q8—221no—
1183C22⋊Q8—221no—
1184C22⋊Q8—221no—
1185C22⋊Q8—221no—
1186C22⋊Q8—221no—
1187C22⋊Q8—221no—
1188C22⋊Q8—221no—
1189C22⋊Q8—221no—
1190C22⋊Q8—221no—
1191C22⋊Q8—221no—
1192C22⋊Q8—221no—
1193C22⋊Q8C22×D1111yescharacteristic
1194#121—111no—
1195#121—111no—
1196#121—111no—
1197#121—111no—
1198#121—221no—
1199#121—221no—
1200#121—221no—
1201#121—221no—
1202#121—221no—
1203#121—221no—
1204#121—221no—
1205#121—221no—
1206#121—221no—
1207#121C22×D1111yescharacteristic
1208#120—221no—
1209#120—221no—
1210#120—221no—
1211#120—221no—
1212C4×Q8—111no—
1213C4×Q8—111no—
1214C4×Q8—111no—
1215C4×Q8—111no—
1216C4×Q8—111no—
1217C4×Q8—111no—
1218C4×Q8—111no—
1219C4×Q8—111no—
1220C4×Q8—111no—
1221C4×Q8—111no—
1222C4×Q8—111no—
1223C4×Q8—111no—
1224C4×Q8—221no—
1225C4×Q8—221no—
1226C4×Q8—221no—
1227C4×Q8—221no—
1228C4×Q8—221no—
1229C4×Q8—221no—
1230C4×Q8C22×D1111yescharacteristic
1231C4×D4—21no—
1232C4×D4—111no—
1233C4×D4—111no—
1234C4×D4—111no—
1235C4×D4—111no—
1236C4×D4—111no—
1237C4×D4—111no—
1238C4×D4—111no—
1239C4×D4—111no—
1240C4×D4—111no—
1241C4×D4—111no—
1242C4×D4—221no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4—221no—
1250C4×D4—221no—
1251C4×D4—221no—
1252C4×D4—221no—
1253C4×D4—221no—
1254C4×D4—221no—
1255C4×D4—221no—
1256C4×D4—221no—
1257C4×D4C22×D1111yescharacteristic
1258#117—21no—
1259#117—111no—
1260#117—111no—
1261#117—111no—
1262#117—111no—
1263#117—221no—
1264#117—221no—
1265#117—221no—
1266#117—221no—
1267#117—221no—
1268#117—221no—
1269#117—221no—
1270#117—221no—
1271#117—221no—
1272#117—221no—
1273C2×C4⋊C4—111no—
1274C2×C4⋊C4—111no—
1275C2×C4⋊C4—221no—
1276C2×C4⋊C4—221no—
1277C2×C22⋊C4—21no—
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—221no—
1280C2×C22⋊C4—221no—
1281C2×C22⋊C4—221no—
1282C2×C22⋊C4—221no—
1283C2×C42—111no—
1284C2×C42—111no—
1285C2×C42—221no—
1286C2×C42—221no—
1287C2×C42—221no—
1288C2×C42C22×D1111yescharacteristic
1289#107—111no—
1290#107—111no—
1291#107—111no—
1292#107—111no—
1293#106—111no—
1294#106—111no—
1295#106—111no—
1296#106—111no—
1297C4⋊C8—111no—
1298C4⋊C8—111no—
1299C4⋊C8—111no—
1300C4⋊C8—111no—
1301C4⋊C8—111no—
1302C4⋊C8—111no—
1303C4⋊C8—111no—
1304C4⋊C8—111no—
1305C4⋊C8C22×D1111yescharacteristic
1306C4⋊C8C22×D1111yescharacteristic
1307#103—111no—
1308#103—111no—
1309#103—111no—
1310#103—111no—
1311#103—111no—
1312#103—111no—
1313#103—111no—
1314#103—111no—
1315#103—111no—
1316#103—111no—
1317#103—111no—
1318#103—111no—
1319#103—111no—
1320#103—111no—
1321#103C22×D1111yescharacteristic
1322#103C22×D1111yescharacteristic
1323#103C22×D1111yescharacteristic
1324#103C22×D1111yescharacteristic
1325#102—111no—
1326#102—111no—
1327#102—111no—
1328#102—111no—
1329#102—111no—
1330#102—111no—
1331#102—111no—
1332#102—111no—
1333#102—111no—
1334#102—111no—
1335#102C22×D1111yescharacteristic
1336#102C22×D1111yescharacteristic
1337#102C22×D1111yescharacteristic
1338#102C22×D1111yescharacteristic
1339C22⋊C8—111no—
1340C22⋊C8—111no—
1341C22⋊C8—111no—
1342C22⋊C8—111no—
1343C22⋊C8C22×D1111yescharacteristic
1344C22⋊C8C22×D1111yescharacteristic
1345C4×C8—111no—
1346C4×C8—111no—
1347C4×C8—111no—
1348C4×C8—111no—
1349C4×C8C22×D1111yescharacteristic
1350C4×C8C22×D1111yescharacteristic
1351C2×C11—22no—
1352C2×C11—81no—
1353C2×C11—81no—
1354C2×C11—81no—
1355C2×C11#348811yescharacteristic
1356C2×C11C22×#13511yescharacteristic
1357C2×C11#358611yescharacteristic
1358D11—22no—
1359D11—41no—
1360D11—81no—
1361C24—21no—
1362C24—221no—
1363#41—224no—
1364#41—222no—
1365#41—441no—
1366#41—441no—
1367#41—441no—
1368#41—441no—
1369#41—441no—
1370#41—444no—
1371C2×Q8—21no—
1372C2×Q8—41no—
1373C2×Q8—41no—
1374C2×Q8—111no—
1375C2×Q8—111no—
1376C2×Q8—111no—
1377C2×Q8—111no—
1378C2×Q8—221no—
1379C2×Q8—221no—
1380C2×Q8—221no—
1381C2×Q8—222no—
1382C2×Q8—221no—
1383C2×Q8—222no—
1384C2×Q8—441no—
1385C2×Q8—441no—
1386C2×Q8—441no—
1387C2×Q8—441no—
1388C2×Q8C23×D1111yescharacteristic
1389C2×Q8C23×D1111yescharacteristic
1390C2×Q8C23×D1111yescharacteristic
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—111no—
1396C2×D4—111no—
1397C2×D4—111no—
1398C2×D4—111no—
1399C2×D4—221no—
1400C2×D4—221no—
1401C2×D4—221no—
1402C2×D4—221no—
1403C2×D4—221no—
1404C2×D4—221no—
1405C2×D4—221no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—441no—
1410C2×D4—441no—
1411C2×D4—444no—
1412C2×D4C23×D1111yescharacteristic
1413C2×D4C23×D1111yescharacteristic
1414C2×D4C23×D1111yescharacteristic
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—111no—
1418C22×C4—111no—
1419C22×C4—111no—
1420C22×C4—111no—
1421C22×C4—111no—
1422C22×C4—111no—
1423C22×C4—221no—
1424C22×C4—221no—
1425C22×C4—221no—
1426C22×C4—221no—
1427C22×C4—221no—
1428C22×C4—221no—
1429C22×C4—221no—
1430C22×C4—221no—
1431C22×C4—221no—
1432C22×C4—221no—
1433C22×C4—221no—
1434C22×C4—221no—
1435C22×C4D4×D1111yescharacteristic
1436C22×C4D4×D1111yescharacteristic
1437C22×C4C23×D1111yescharacteristic
1438Q16—41no—
1439Q16—41no—
1440Q16—222no—
1441Q16—222no—
1442Q16—222no—
1443Q16—441no—
1444Q16—441no—
1445Q16—441no—
1446Q16—441no—
1447SD16—41no—
1448SD16—41no—
1449SD16—41no—
1450SD16—41no—
1451SD16—222no—
1452SD16—222no—
1453SD16—222no—
1454SD16—441no—
1455SD16—441no—
1456SD16—441no—
1457SD16—441no—
1458SD16—441no—
1459D8—41no—
1460D8—41no—
1461D8—441no—
1462C2×C8—111no—
1463C2×C8—111no—
1464C2×C8—111no—
1465C2×C8—111no—
1466C2×C8—441no—
1467C2×C8—441no—
1468C2×C8—441no—
1469C2×C8—441no—
1470C2×C8—441no—
1471C2×C8—441no—
1472C2×C8C23×D1111yescharacteristic
1473C2×C8C23×D1111yescharacteristic
1474C2×C8C23×D1111yescharacteristic
1475C2×C8C23×D1111yescharacteristic
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—111no—
1481C4⋊C4—111no—
1482C4⋊C4—111no—
1483C4⋊C4—111no—
1484C4⋊C4—111no—
1485C4⋊C4—111no—
1486C4⋊C4—111no—
1487C4⋊C4—111no—
1488C4⋊C4—111no—
1489C4⋊C4—111no—
1490C4⋊C4—221no—
1491C4⋊C4—221no—
1492C4⋊C4—221no—
1493C4⋊C4—221no—
1494C4⋊C4—221no—
1495C4⋊C4—221no—
1496C4⋊C4—221no—
1497C4⋊C4—221no—
1498C4⋊C4—221no—
1499C4⋊C4—221no—
1500C4⋊C4—221no—
1501C4⋊C4—221no—
1502C4⋊C4—221no—
1503C4⋊C4—221no—
1504C4⋊C4—221no—
1505C4⋊C4—221no—
1506C4⋊C4—221no—
1507C4⋊C4—221no—
1508C4⋊C4—221no—
1509C4⋊C4—221no—
1510C4⋊C4—221no—
1511C4⋊C4—221no—
1512C4⋊C4—221no—
1513C4⋊C4—221no—
1514C4⋊C4—221no—
1515C4⋊C4—221no—
1516C4⋊C4—221no—
1517C4⋊C4C23×D1111yescharacteristic
1518C4⋊C4C23×D1111yescharacteristic
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
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—221no—
1554C22⋊C4—221no—
1555C22⋊C4—221no—
1556C22⋊C4—221no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C42—21no—
1562C42—111no—
1563C42—111no—
1564C42—111no—
1565C42—111no—
1566C42—111no—
1567C42—111no—
1568C42—221no—
1569C42—221no—
1570C42—221no—
1571C42—221no—
1572C42—221no—
1573C42—221no—
1574C42—221no—
1575C42—221no—
1576C42—221no—
1577C42—221no—
1578C42—221no—
1579C42D4×D1111yescharacteristic
1580C42D4×D1111yescharacteristic
1581C42C23×D1111yescharacteristic
1582C42C23×D1111yescharacteristic
1583C11#6195611yescharacteristic, complemented, Sylow
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—42no—
1588C23—81no—
1589C23—81no—
1590C23—111no—
1591C23—111no—
1592C23—221no—
1593C23—442no—
1594C23—881no—
1595C23—881no—
1596C23C2×D4×D1111yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—81no—
1604Q8—112no—
1605Q8—222no—
1606Q8—221no—
1607Q8—221no—
1608Q8—221no—
1609Q8—221no—
1610Q8—221no—
1611Q8—442no—
1612Q8—442no—
1613Q8—442no—
1614Q8—881no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—42no—
1622D4—81no—
1623D4—114no—
1624D4—222no—
1625D4—222no—
1626D4—221no—
1627D4—221no—
1628D4—442no—
1629D4—442no—
1630D4—442no—
1631D4—442no—
1632D4—442no—
1633D4—881no—
1634D4—881no—
1635D4—881no—
1636D4—881no—
1637D4—881no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—41no—
1647C2×C4—42no—
1648C2×C4—81no—
1649C2×C4—111no—
1650C2×C4—111no—
1651C2×C4—111no—
1652C2×C4—111no—
1653C2×C4—111no—
1654C2×C4—111no—
1655C2×C4—222no—
1656C2×C4—222no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—221no—
1664C2×C4—221no—
1665C2×C4—221no—
1666C2×C4—221no—
1667C2×C4—221no—
1668C2×C4—441no—
1669C2×C4—441no—
1670C2×C4—442no—
1671C2×C4—442no—
1672C2×C4—442no—
1673C2×C4—442no—
1674C2×C4—442no—
1675C2×C4—442no—
1676C2×C4—442no—
1677C2×C4—881no—
1678C2×C4—881no—
1679C2×C4—881no—
1680C2×C4—881no—
1681C2×C4—881no—
1682C2×C4C2×D4×D1111yescharacteristic
1683C2×C4C2×D4×D1111yescharacteristic
1684C2×C4C2×D4×D1111yescharacteristic
1685C2×C4C2×D4×D1111yescharacteristic
1686C2×C4C2×D4×D1111yescharacteristic
1687C2×C4C24×D1111yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—221no—
1693C8—221no—
1694C8—221no—
1695C8—221no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—112no—
1708C22—162no—
1709C22—221no—
1710C22—221no—
1711C22—221no—
1712C22—221no—
1713C22—221no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—1762no—
1718C22D11×#13512yes—
1719C22C22×D4×D1111yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—112no—
1731C4—221no—
1732C4—221no—
1733C4—221no—
1734C4—221no—
1735C4—222no—
1736C4—221no—
1737C4—441no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4D11×H(5,𝔽2)11yescharacteristic
1744C4#1062345511yescharacteristic
1745C2—22no—
1746C2—81no—
1747C2—81no—
1748C2—81no—
1749C2—222no—
1750C2—441no—
1751C2—881no—
1752C2#1308228311yescharacteristic
1753C2C2×D11×#13511yescharacteristic
1754C2#1308340011yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3211C2
socleC22×C11C23×D4
hypercenter#3211D11
hypocenterC11#61956
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3211

Complements

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

NH ≅ G/Ntype
1. #13082571C2semidirect
2. #13082229C2semidirect
3. #13081609C2semidirect
4. #13081601C2semidirect
5. #13081309C2semidirect
6. #13081298C2semidirect
7. #13080507C2semidirect
8. #13080502C2semidirect
9. #13080474C2semidirect
10. #13080455C2semidirect
11. #13080450C2semidirect
12. #13080422C2semidirect
13. #13080361C2semidirect
14. #13080356C2semidirect
15. #13080350C2semidirect
16. #13080327C2semidirect
17. #13080322C2semidirect
18. #13080310C2semidirect
19. #13079965C2semidirect
20. #13079963C2semidirect
21. #13079950C2semidirect
22. #13079579C2semidirect
23. #13079571C2semidirect
24. #13078698C2semidirect
25. #13078695C2semidirect
26. #13078631C2semidirect
27. #13078068C2semidirect
28. C2×#10622667C2semidirect
29. D11×#464C2semidirect
30. #13077724C2semidirect
31. C11×#3211C2semidirect
32. C11×#529C22semidirect
36. C22×#4326C22semidirect
40. C2×Q16×D11C22semidirect
41. C2×#66969C22semidirect
43. C2×#66965C22semidirect
46. #10623225C22semidirect
47. #10623216C22semidirect
54. #10623208C22semidirect
58. #10623202C22semidirect
64. #10623173C22semidirect
67. #10623129C22semidirect
68. #10623109C22semidirect
69. C4×Q8×D11C22semidirect
70. #10623088C22semidirect
73. C4×#4341C22semidirect
82. C2×C4×Dic22C22semidirect
84. C11×#495C22semidirect
86. C11×#488C22semidirect
88. C11×#464C22semidirect
90. C11×#463C22semidirect
91. C11×#451C22semidirect
93. C11×#448C22semidirect
95. C11×#431C22semidirect
96. C2×#66899C22semidirect
98. #10622801C22semidirect
99. #10622800C22semidirect
100. #10622799C22semidirect
101. #10622798C22semidirect
102. Q16×Dic11C22semidirect
103. #10622795C22semidirect
104. #10622794C22semidirect
106. #10622786C22semidirect
107. #10622786C22semidirect
109. #10622784C22semidirect
111. #10622783C22semidirect
112. #10622781C22semidirect
114. #10622779C22semidirect
116. #10622775C22semidirect
117. SD16×Dic11C22semidirect
118. SD16×Dic11C22semidirect
123. #10622766C22semidirect
126. #10622679C22semidirect
127. #10622676C22semidirect
128. #10622670C22semidirect
133. #10622667C22semidirect
134. #10622667C22semidirect
135. #10622667C22semidirect
136. #10622667C22semidirect
137. #10622667C22semidirect
138. #10622664C22semidirect
140. #10622654C22semidirect
142. #10622641C22semidirect
143. #10622635C22semidirect
144. #10622629C22semidirect
145. #10622622C22semidirect
146. C2×C4⋊(C11⋊C8)C22semidirect
147. #10622458C22semidirect
148. #10622458C22semidirect
149. #10622446C22semidirect
150. #10622446C22semidirect
151. D11×C4⋊C8C22semidirect
152. D11×C4⋊C8C22semidirect
153. #10622442C22semidirect
154. #10622442C22semidirect
155. #10622427C22semidirect
156. #10622426C22semidirect
157. #10622426C22semidirect
158. #10622423C22semidirect
159. #10622421C22semidirect
160. #10622418C22semidirect
161. #10622417C22semidirect
162. D11×#103C22semidirect
163. #10622413C22semidirect
164. #10622411C22semidirect
165. #10622409C22semidirect
166. #10622406C22semidirect
167. #10622405C22semidirect
168. #10622404C22semidirect
169. #10622403C22semidirect
170. #10622403C22semidirect
171. #10622396C22semidirect
177. #10622385C22semidirect
181. #10622376C22semidirect
186. #10622371C22semidirect
187. #10622352C22semidirect
192. (C22⋊D11)⋊C8C22semidirect
193. (C22⋊D11)⋊C8C22semidirect
194. #10622334C22semidirect
195. C4×Dic44C22semidirect
196. C4×Dic44C22semidirect
197. C4×#4314C22semidirect
198. C4×#4314C22semidirect
199. C8×D44C22semidirect
200. C8×D44C22semidirect
201. C8×Dic22C22semidirect
202. C8×Dic22C22semidirect
729. #3211D11semidirect
793. C22⋊D11#135semidirect
892. #529C2×D11semidirect
904. #495C2×D11semidirect
910. #488C2×D11semidirect
959. #464C2×D11semidirect
964. #463C2×D11semidirect
979. #451C2×D11semidirect
986. #448C2×D11semidirect
1011. #431C2×D11semidirect
1583. C11#61956semidirect

Maximal subgroups

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

subgroupindex
#130825712
#130822292
#130816092
#130816012
#130813092
#130812982
#130805072
#130805022
#130804742
#130804552
#130804502
#130804222
#130803612
#130803562
#130803502
#130803272
#130803222
#130803102
#130799652
#130799632
#130799502
#130795792
#130795712
#130786982
#130786952
#130786312
#130780682
C2×#106226672
D11×#4642
#130777242
C11×#32112
#6195611