Finite Group Databasebeta

← #15622668

Subgroups — #15622668

Order 2816.

2024 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082360C211yesmaximal, characteristic, complemented
2#13081818C211yesmaximal, characteristic, complemented
3#13078910C211yesmaximal, characteristic, complemented
4#13078864C211yesmaximal, characteristic, complemented
5#13078863C211yesmaximal, characteristic, complemented
6#13078846C211yesmaximal, characteristic, complemented
7#13078845C211yesmaximal, characteristic, complemented
8#13078803C211yesmaximal, characteristic, complemented
9#13078802C211yesmaximal, characteristic, complemented
10#13078777C211yesmaximal, characteristic, complemented
11#13078776C211yesmaximal, characteristic, complemented
12#13078732C211yesmaximal, characteristic, complemented
13#13078731C211yesmaximal, characteristic, complemented
14#13078686C211yesmaximal, characteristic, complemented
15#13078685C211yesmaximal, characteristic, complemented
16#13078641C211yesmaximal, characteristic, complemented
17#13078640C211yesmaximal, characteristic, complemented
18#13078548C211yesmaximal, characteristic, complemented
19D11×#485C211yesmaximal, characteristic, complemented
20#13078481C211yesmaximal, characteristic, complemented
21#13078470C211yesmaximal, characteristic, complemented
22#13078163C211yesmaximal, characteristic, complemented
23#13078163C211yesmaximal, characteristic, complemented
24#13077875C211yesmaximal, characteristic, complemented
25#13077839C211yesmaximal, characteristic
26#13077496C211yesmaximal, characteristic, complemented
27#13077491C211yesmaximal, characteristic, complemented
28#13077458C211yesmaximal, characteristic, complemented
29#13077454C211yesmaximal, characteristic, complemented
30#13077272C211yesmaximal, characteristic, complemented
31C11×#3127C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C11×#541C2211yescharacteristic
34C11×#519C2211yescharacteristic
35#10623343C2211yescharacteristic
36C2×#66972C2211yescharacteristic
37C2×#66972C2211yescharacteristic
38C2×#66971C2211yescharacteristic
39C2×#66971C2211yescharacteristic
40#10623259C2211yescharacteristic, complemented
41#10623255C2211yescharacteristic, complemented
42#10623239—21no—
43#10623236—21no—
44#10623236—21no—
45#10623233—21no—
46#10623225—21no—
47#10623224—21no—
48#10623224—21no—
49#10623222C2211yescharacteristic, complemented
50#10623221—21no—
51#10623220C2211yescharacteristic, complemented
52#10623174C2211yescharacteristic
53#10623158C2211yescharacteristic
54D11×C22⋊Q8C2211yescharacteristic
55#10623156C2211yescharacteristic
56#10623111C2211yescharacteristic, complemented
57#10623109C2211yescharacteristic, complemented
58#10623105—21no—
59#10623105—21no—
60#10623105C2211yescharacteristic
61#10623105C2211yescharacteristic
62#10623105C2211yescharacteristic
63#10623105C2211yescharacteristic
64#10623105C2211yescharacteristic, complemented
65C4×#4343—21no—
66C4×#4343—21no—
67C4×#4343C2211yescharacteristic
68C4×#4343C2211yescharacteristic
69C4×#4343C2211yescharacteristic
70C4×#4343C2211yescharacteristic
71#10623103C2211yescharacteristic, complemented
72#10623065C2211yescharacteristic
73#10623052—21no—
74#10623052—21no—
75#10623052C2211yescharacteristic
76#10623052C2211yescharacteristic
77D11×#117—21no—
78D11×#117—21no—
79D11×#117C2211yescharacteristic
80D11×#117C2211yescharacteristic
81C11×#485C2211yescharacteristic
82C11×#485C2211yescharacteristic
83C11×#479C2211yescharacteristic, complemented
84C11×#479C2211yescharacteristic, complemented
85C11×#462C2211yescharacteristic, complemented
86C11×#462C2211yescharacteristic, complemented
87C11×#451C2211yescharacteristic
88C11×#451C2211yescharacteristic
89C11×#441C2211yescharacteristic, complemented
90C11×#441C2211yescharacteristic, complemented
91C4×C11×Q16C2211yescharacteristic, complemented
92C4×C11×Q16C2211yescharacteristic, complemented
93C11×#433C2211yescharacteristic
94#10622841C2211yescharacteristic
95#10622840C2211yescharacteristic
96#10622800C2211yescharacteristic
97#10622800C2211yescharacteristic
98#10622800C2211yescharacteristic
99#10622800C2211yescharacteristic
100#10622798C2211yescharacteristic, complemented
101#10622798C2211yescharacteristic, complemented
102#10622797C2211yescharacteristic, complemented
103#10622797C2211yescharacteristic, complemented
104Q16×Dic11C2211yescharacteristic, complemented
105Q16×Dic11C2211yescharacteristic, complemented
106#10622795C2211yescharacteristic, complemented
107#10622795C2211yescharacteristic, complemented
108#10622696C2211yescharacteristic, complemented
109#10622696C2211yescharacteristic, complemented
110#10622679C2211yescharacteristic, complemented
111#10622679C2211yescharacteristic, complemented
112#10622659C2211yescharacteristic
113#10622659C2211yescharacteristic
114#10622658C2211yescharacteristic
115#10622658C2211yescharacteristic
116#10622643C2211yescharacteristic, complemented
117C4×#4326C2211yescharacteristic, complemented
118#10622641C2211yescharacteristic, complemented
119#10622641C2211yescharacteristic, complemented
120#10622639C2211yescharacteristic, complemented
121#10622639C2211yescharacteristic, complemented
122#10622639C2211yescharacteristic, complemented
123C4×#4325C2211yescharacteristic, complemented
124C4×#4325C2211yescharacteristic, complemented
125C4×#4325C2211yescharacteristic, complemented
126#10622634C2211yescharacteristic, complemented
127#10622633C2211yescharacteristic, complemented
128#10622616C2211yescharacteristic
129#10622613C2211yescharacteristic
130#10622609C2211yescharacteristic
131#10622504C2211yescharacteristic, complemented
132#10622503C2211yescharacteristic, complemented
133#10622502C2211yescharacteristic, complemented
134#10622501C2211yescharacteristic, complemented
135#10622498C2211yescharacteristic, complemented
136#10622494C2211yescharacteristic, complemented
137D11×#107C2211yescharacteristic, complemented
138#10622485C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622483C2211yescharacteristic, complemented
141#10622482C2211yescharacteristic, complemented
142#10622480C2211yescharacteristic, complemented
143#10622479C2211yescharacteristic, complemented
144#10622474C2211yescharacteristic, complemented
145D11×#106C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622459C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic, complemented
150#10622455C2211yescharacteristic, complemented
151#10622452C2211yescharacteristic, complemented
152#10622452C2211yescharacteristic, complemented
153#10622448C2211yescharacteristic, complemented
154#10622446C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622432C2211yescharacteristic, complemented
157#10622431C2211yescharacteristic, complemented
158#10622431C2211yescharacteristic, complemented
159#10622430C2211yescharacteristic, complemented
160#10622430C2211yescharacteristic, complemented
161#10622430C2211yescharacteristic, complemented
162#10622428C2211yescharacteristic, complemented
163#10622428C2211yescharacteristic, complemented
164#10622427C2211yescharacteristic, complemented
165#10622427C2211yescharacteristic, complemented
166#10622424C2211yescharacteristic
167#10622424C2211yescharacteristic
168#10622423C2211yescharacteristic
169#10622423C2211yescharacteristic
170#10622417C2211yescharacteristic
171#10622417C2211yescharacteristic
172#10622416C2211yescharacteristic
173#10622416C2211yescharacteristic
174#10622416C2211yescharacteristic, complemented
175#10622416C2211yescharacteristic, complemented
176D11×#103C2211yescharacteristic, complemented
177D11×#103C2211yescharacteristic, complemented
178#10622412C2211yescharacteristic, complemented
179#10622409C2211yescharacteristic, complemented
180#10622407C2211yescharacteristic, complemented
181#10622404C2211yescharacteristic, complemented
182#10622403C2211yescharacteristic, complemented
183#10622402C2211yescharacteristic, complemented
184#10622401C2211yescharacteristic, complemented
185#10622401C2211yescharacteristic, complemented
186#10622401C2211yescharacteristic, complemented
187#10622350C2211yescharacteristic
188#10622345C2211yescharacteristic
189#10622344C2211yescharacteristic
190#10622339C2211yescharacteristic
191D11×C22⋊C8C2211yescharacteristic
192#10622336C2211yescharacteristic
193#10622333C2211yescharacteristic
194#10622333C2211yescharacteristic
195#10622324C2211yescharacteristic, complemented
196#10622323C2211yescharacteristic, complemented
197#10622321C2211yescharacteristic, complemented
198#10622318C2211yescharacteristic, complemented
199C4×D88C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622302C2211yescharacteristic, complemented
202#10622298C2211yescharacteristic, complemented
203C22×Q8×C11C2311yescharacteristic
204C2×#4343—24no—
205C2×#4343—24no—
206C2×#4343—21no—
207C2×#4343—21no—
208C2×#4343C2311yescharacteristic
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C22×D44—21no—
215C22×D44C2311yescharacteristic
216C22×C4×D11—21no—
217C22×C4×D11C2311yescharacteristic
218C2×C11×Q16C2311yescharacteristic
219C2×C11×Q16C2311yescharacteristic
220C2×C11×Q16C2311yescharacteristic
221C2×C11×Q16C2311yescharacteristic
222C11×C4⋊Q8C2311yescharacteristic
223C11×#126—21no—
224C11×#126—21no—
225C11×#125—21no—
226C11×#125—21no—
227C11×#125C2311yescharacteristic
228C11×C22⋊Q8C2311yescharacteristic
229C11×C22⋊Q8C2311yescharacteristic
230C4×Q8×C11—21no—
231C4×Q8×C11—21no—
232C4×Q8×C11C2311yescharacteristic
233C4×Q8×C11C2311yescharacteristic
234C4×Q8×C11C2311yescharacteristic
235C4×Q8×C11C2311yescharacteristic
236C4×Q8×C11C2311yescharacteristic
237C4×Q8×C11C2311yescharacteristic
238C11×#117—21no—
239C11×#117—21no—
240C11×#117C2311yescharacteristic
241C11×#117C2311yescharacteristic
242#67000C2311yescharacteristic
243#66999C2311yescharacteristic
244#66999C2311yescharacteristic
245Q8×Dic11—21no—
246Q8×Dic11—21no—
247Q8×Dic11C2311yescharacteristic
248Q8×Dic11C2311yescharacteristic
249Q8×Dic11C2311yescharacteristic
250Q8×Dic11C2311yescharacteristic
251Q8×Dic11C2311yescharacteristic
252Q8×Dic11C2311yescharacteristic
253#66997C2311yescharacteristic
254C2×#4326C2311yescharacteristic
255C2×#4326C2311yescharacteristic
256C2×#4325C2311yescharacteristic
257C2×#4325C2311yescharacteristic
258C2×#4325C2311yescharacteristic
259C2×#4325C2311yescharacteristic
260C2×#4325C2311yescharacteristic
261C2×#4325C2311yescharacteristic
262#66983C2311yescharacteristic
263#66979—21no—
264#66979—21no—
265#66979C2311yescharacteristic
266#66979C2311yescharacteristic
267#66977C2311yescharacteristic
268#66972—24no—
269#66972—24no—
270#66971—24no—
271#66971—24no—
272C2×D88C2311yescharacteristic
273C2×D88C2311yescharacteristic
274C2×#4314C2311yescharacteristic
275C2×#4314C2311yescharacteristic
276C2×#4313C2311yescharacteristic
277C2×#4313C2311yescharacteristic
278C2×C8×D11C2311yescharacteristic
279C2×C8×D11C2311yescharacteristic
280#66951—21no—
281#66951—21no—
282#66951—21no—
283#66951—21no—
284#66950—21no—
285#66950—21no—
286#66950—21no—
287#66950C2311yescharacteristic
288#66949—21no—
289#66949—21no—
290#66949—21no—
291#66949—21no—
292#66949—21no—
293#66949—21no—
294#66948C2311yescharacteristic
295#66947—21no—
296#66947—21no—
297#66947—21no—
298#66947—21no—
299#66947—21no—
300#66946—21no—
301#66946—21no—
302#66946—21no—
303#66946—21no—
304#66946—21no—
305#66946—21no—
306#66946—21no—
307#66946—21no—
308#66946—21no—
309#66946—21no—
310#66946—21no—
311#66946—21no—
312#66946—21no—
313#66946C2311yescharacteristic
314#66946C2311yescharacteristic
315#66946C2311yescharacteristic
316#66946C2311yescharacteristic
317#66946C2311yescharacteristic
318#66945—21no—
319#66945—21no—
320#66945—21no—
321#66945—21no—
322#66945—21no—
323#66945—21no—
324#66945—21no—
325#66945D411yescharacteristic
326#66945D411yescharacteristic
327#66945C2311yescharacteristic
328#66945C2311yescharacteristic
329#66945C2311yescharacteristic
330C4⋊C4×D11—21no—
331C4⋊C4×D11—21no—
332C4⋊C4×D11—21no—
333C4⋊C4×D11—21no—
334C4⋊C4×D11—21no—
335C4⋊C4×D11—21no—
336C4⋊C4×D11D411yescharacteristic
337C4⋊C4×D11D411yescharacteristic
338C4⋊C4×D11C2311yescharacteristic
339C4⋊C4×D11C2311yescharacteristic
340C4⋊C4×D11C2311yescharacteristic
341#66943—21no—
342#66943—21no—
343#66943C2311yescharacteristic
344#66942—21no—
345#66942—21no—
346#66942—21no—
347#66941—21no—
348#66941C2311yescharacteristic
349#66940—21no—
350#66940—21no—
351#66940C2311yescharacteristic
352#66938—21no—
353#66938—21no—
354#66936—21no—
355#66936—21no—
356#66935—21no—
357(C22⋊D11)⋊C4—21no—
358C22⋊C4×D11—21no—
359C22⋊C4×D11—21no—
360C22⋊C4×D11—21no—
361C22⋊C4×D11—21no—
362C22⋊C4×D11—21no—
363C22⋊C4×D11—21no—
364C22⋊C4×D11D411yescharacteristic
365C22⋊C4×D11D411yescharacteristic
366#66932—21no—
367#66932—21no—
368#66931—21no—
369#66930—21no—
370#66930D411yescharacteristic
371#66930D411yescharacteristic
372#66928C2311yescharacteristic
373C4×D44—21no—
374C4×D44—21no—
375C4×D44—21no—
376C4×D44—21no—
377C4×D44—21no—
378C4×D44—21no—
379C4×D44—21no—
380C4×D44—21no—
381C4×D44—21no—
382C4×D44—21no—
383C4×D44—21no—
384C4×D44—21no—
385C4×D44C2311yescharacteristic
386C4×D44C2311yescharacteristic
387C4×D44C2311yescharacteristic
388C4×D44C2311yescharacteristic
389C4×D44C2311yescharacteristic
390#66925—21no—
391#66925—21no—
392#66925—21no—
393#66925—21no—
394#66925—21no—
395#66925—21no—
396#66925—21no—
397#66925—21no—
398#66925—21no—
399#66925C2311yescharacteristic
400#66925C2311yescharacteristic
401C42×D11—21no—
402C42×D11—21no—
403C42×D11—21no—
404C42×D11—21no—
405C42×D11—21no—
406C42×D11C2311yescharacteristic
407C42×D11C2311yescharacteristic
408#66922C2311yescharacteristic
409C4×Dic22—21no—
410C4×Dic22—21no—
411C4×Dic22C2311yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#107C2311yescharacteristic
414C11×#106C2311yescharacteristic
415C11×#106C2311yescharacteristic
416C11×C4⋊C8C2311yescharacteristic
417C11×C4⋊C8C2311yescharacteristic
418C11×#103C2311yescharacteristic
419C11×#103C2311yescharacteristic
420C11×#103C2311yescharacteristic
421C11×#103C2311yescharacteristic
422C11×#103C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×C22⋊C8C2311yescharacteristic
427C11×C22⋊C8C2311yescharacteristic
428C11×#97C2311yescharacteristic
429C4×C8×C11C2311yescharacteristic
430#66899C2311yescharacteristic
431#66899C2311yescharacteristic
432#66899C2311yescharacteristic
433#66899C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438C22⋊(C11⋊C8)C2311yescharacteristic
439C22⋊(C11⋊C8)C2311yescharacteristic
440#66885C2311yescharacteristic
441#66885C2311yescharacteristic
442#66885C2311yescharacteristic
443#66885C2311yescharacteristic
444#66885C2311yescharacteristic
445#66885C2311yescharacteristic
446(C2×D11)⋊C8C2311yescharacteristic
447(C2×D11)⋊C8C2311yescharacteristic
448(C2×D11)⋊C8C2311yescharacteristic
449(C2×D11)⋊C8C2311yescharacteristic
450#66882C2311yescharacteristic
451#66882C2311yescharacteristic
452#66881C2311yescharacteristic
453#66881C2311yescharacteristic
454#66880C2311yescharacteristic
455#66880C2311yescharacteristic
456#66879C2311yescharacteristic
457#66879C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462C8×Dic11C2311yescharacteristic
463C8×Dic11C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66872C2311yescharacteristic
473#66872C2311yescharacteristic
474#66872C2311yescharacteristic
475#66872C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482#66867C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#60586—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11C2×D411yescharacteristic
487C2×Q8×C11—22no—
488C2×Q8×C11—22no—
489C2×Q8×C11—21no—
490C2×Q8×C11C2411yescharacteristic
491C2×Q8×C11C2411yescharacteristic
492C2×Q8×C11C2411yescharacteristic
493C2×Q8×C11C2411yescharacteristic
494C22×C4×C11—21no—
495C22×C4×C11C2411yescharacteristic
496C2×C22⋊D11—21no—
497C22×Dic11C2×D411yescharacteristic
498#4343—28no—
499#4343—28no—
500#4343—22no—
501#4343—22no—
502#4343—22no—
503#4343—22no—
504#4343—22no—
505#4343—22no—
506#4343—22no—
507#4343—22no—
508#4343#4114yes—
509#4343#4114yes—
510Q8×D11—22no—
511Q8×D11—22no—
512C2×D44—28no—
513C2×D44—22no—
514C2×D44—22no—
515C2×D44—21no—
516C2×D44—21no—
517C2×D44—21no—
518C2×D44—21no—
519C2×D44—21no—
520C2×D44—21no—
521C2×D44—21no—
522C2×D44C2411yescharacteristic
523C2×D44C2411yescharacteristic
524C2×D44C2411yescharacteristic
525C2×C4×D11—28no—
526C2×C4×D11—21no—
527C2×C4×D11—21no—
528C2×C4×D11—21no—
529C2×C4×D11—21no—
530C2×C4×D11—22no—
531C2×C4×D11—22no—
532C2×C4×D11—21no—
533C2×C4×D11—21no—
534C2×C4×D11—21no—
535C2×C4×D11—21no—
536C2×C4×D11—21no—
537C2×C4×D11—21no—
538C2×C4×D11—21no—
539C2×C4×D11—21no—
540C2×C4×D11—21no—
541C2×C4×D11—21no—
542C2×C4×D11—21no—
543C2×C4×D11—21no—
544C2×C4×D11—21no—
545C2×C4×D11—21no—
546C2×C4×D11—21no—
547C2×C4×D11C2×D411yescharacteristic
548C2×C4×D11C2×D411yescharacteristic
549C2×C4×D11C2×D411yescharacteristic
550C2×C4×D11C2×D411yescharacteristic
551C2×C4×D11C2×D411yescharacteristic
552C2×C4×D11C2×D411yescharacteristic
553C2×C4×D11C2411yescharacteristic
554C2×C4×D11C2411yescharacteristic
555C2×Dic22—21no—
556C2×Dic22—21no—
557C2×Dic22—21no—
558C2×Dic22C2411yescharacteristic
559C11×Q16—22no—
560C11×Q16—22no—
561C11×Q16—22no—
562C11×Q16—22no—
563C2×C8×C11C2411yescharacteristic
564C2×C8×C11C2411yescharacteristic
565C2×C8×C11C2411yescharacteristic
566C2×C8×C11C2411yescharacteristic
567C11×C4⋊C4—21no—
568C11×C4⋊C4—21no—
569C11×C4⋊C4—21no—
570C11×C4⋊C4—21no—
571C11×C4⋊C4—21no—
572C11×C4⋊C4—21no—
573C11×C4⋊C4—21no—
574C11×C4⋊C4—21no—
575C11×C4⋊C4—21no—
576C11×C4⋊C4—21no—
577C11×C4⋊C4—21no—
578C11×C4⋊C4—21no—
579C11×C4⋊C4C2×D411yescharacteristic
580C11×C4⋊C4C2×D411yescharacteristic
581C11×C4⋊C4C2411yescharacteristic
582C11×C4⋊C4C2411yescharacteristic
583C11×C4⋊C4C2411yescharacteristic
584C11×C4⋊C4C2411yescharacteristic
585C11×C22⋊C4—21no—
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
588C11×C22⋊C4C2×D411yescharacteristic
589C11×C22⋊C4C2×D411yescharacteristic
590C42×C11—21no—
591C42×C11—21no—
592C42×C11—21no—
593C42×C11—21no—
594C42×C11—21no—
595C42×C11—21no—
596C42×C11—21no—
597C42×C11C2411yescharacteristic
598C42×C11C2411yescharacteristic
599C22⋊Dic11—21no—
600C22⋊Dic11—21no—
601C22⋊Dic11C2×D411yescharacteristic
602C22⋊Dic11C2×D411yescharacteristic
603#4326—22no—
604#4326—22no—
605#4325—22no—
606#4325—22no—
607#4325—22no—
608#4325—22no—
609#4325—22no—
610#4325—22no—
611(C2×D11)⋊C4—21no—
612(C2×D11)⋊C4—21no—
613(C2×D11)⋊C4—21no—
614(C2×D11)⋊C4—21no—
615(C2×D11)⋊C4—21no—
616(C2×D11)⋊C4—21no—
617(C2×D11)⋊C4—21no—
618(C2×D11)⋊C4—21no—
619(C2×D11)⋊C4—21no—
620(C2×D11)⋊C4—21no—
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
634(C2×D11)⋊C4C2×D411yescharacteristic
635(C2×D11)⋊C4C2×D411yescharacteristic
636(C2×D11)⋊C4C2×D411yescharacteristic
637C4⋊Dic11—21no—
638C4⋊Dic11—21no—
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⋊C4C2×D411yescharacteristic
665Dic11⋊C4C2×D411yescharacteristic
666Dic11⋊C4C2×D411yescharacteristic
667Dic11⋊C4C2×D411yescharacteristic
668C4×Dic11—21no—
669C4×Dic11—21no—
670C4×Dic11—21no—
671C4×Dic11—21no—
672C4×Dic11—21no—
673C4×Dic11—21no—
674C4×Dic11—21no—
675C4×Dic11—21no—
676C4×Dic11—21no—
677C4×Dic11—21no—
678C4×Dic11—21no—
679C4×Dic11—21no—
680C4×Dic11C2×D411yescharacteristic
681C4×Dic11C2×D411yescharacteristic
682C4×Dic11C2×D411yescharacteristic
683C4×Dic11C2×D411yescharacteristic
684C4×Dic11C2411yescharacteristic
685C4×Dic11C2411yescharacteristic
686C2×C11⋊C8C2411yescharacteristic
687C2×C11⋊C8C2411yescharacteristic
688C2×C11⋊C8C2411yescharacteristic
689C2×C11⋊C8C2411yescharacteristic
690D88—22no—
691D88—22no—
692#4314—22no—
693#4314—22no—
694#4313—22no—
695#4313—22no—
696C8×D11—22no—
697C8×D11—22no—
698#3495—111no—
699#3428—111no—
700#3127—111no—
701#3127D1111yescharacteristic, complemented
702#3123—111no—
703#3123—111no—
704#3121—111no—
705#3121—111no—
706#3118—111no—
707#3118—111no—
708#3116—111no—
709#3116—111no—
710#3111—111no—
711#3111—111no—
712#3107—111no—
713#3107—111no—
714#3102—111no—
715#3102—111no—
716#3093—111no—
717C2×#485—111no—
718#3084—111no—
719#3083—111no—
720#3046—111no—
721#3046—111no—
722#3007—111no—
723#3002—111no—
724#2952—111no—
725#2951—111no—
726#2947—111no—
727#2947—111no—
728#2924—111no—
729C23×C11C22×D411yescharacteristic
730C22×D11—21no—
731C22×D11—21no—
732C22×D11—24no—
733C22×D11—22no—
734C22×D11—21no—
735C22×D11—41no—
736C22×D11—41no—
737C22×D11—81no—
738C22×D11—81no—
739C22×D11C22×D411yescharacteristic
740C22×D11C22×D411yescharacteristic
741Q8×C11—24no—
742Q8×C11—21no—
743Q8×C11—21no—
744Q8×C11—21no—
745Q8×C11—21no—
746Q8×C11—21no—
747Q8×C11—21no—
748Q8×C11C2×#4112yes—
749Q8×C11C2×#4112yes—
750C2×C4×C11—24no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11C22×D411yescharacteristic
762C2×C4×C11C22×D411yescharacteristic
763C2×C4×C11C22×D411yescharacteristic
764C2×C4×C11C22×D411yescharacteristic
765C2×C4×C11C22×D411yescharacteristic
766C2×C4×C11C2511yescharacteristic
767C22⋊D11—81no—
768C2×Dic11—22no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11C22×D411yescharacteristic
775C2×Dic11C22×D411yescharacteristic
776C2×Dic11C22×D411yescharacteristic
777C2×Dic11C22×D411yescharacteristic
778C2×Dic11C22×D411yescharacteristic
779C2×Dic11C22×D411yescharacteristic
780D44—24no—
781D44—24no—
782D44—24no—
783D44—24no—
784D44—24no—
785D44—21no—
786D44—21no—
787D44—21no—
788D44—21no—
789D44—42no—
790D44—42no—
791D44C2×#4112yes—
792D44C2×#4112yes—
793C4×D11—24no—
794C4×D11—24no—
795C4×D11—22no—
796C4×D11—21no—
797C4×D11—21no—
798C4×D11—24no—
799C4×D11—24no—
800C4×D11—22no—
801C4×D11—41no—
802C4×D11—41no—
803C4×D11—41no—
804C4×D11—41no—
805C4×D11—42no—
806C4×D11—42no—
807C4×D11—81no—
808C4×D11—81no—
809C4×D11—81no—
810C4×D11—81no—
811C4×D11—81no—
812C4×D11—81no—
813C4×D11—81no—
814C4×D11—81no—
815C4×D11—81no—
816C4×D11—81no—
817C4×D11—81no—
818C4×D11—81no—
819C4×D11—81no—
820C4×D11C2×#4112yes—
821C4×D11C2×#4112yes—
822Dic22—21no—
823Dic22—21no—
824Dic22—42no—
825Dic22—81no—
826Dic22—81no—
827C8×C11—21no—
828C8×C11—21no—
829C8×C11—21no—
830C8×C11—21no—
831C11⋊C8—21no—
832C11⋊C8—21no—
833C11⋊C8—21no—
834C11⋊C8—21no—
835C22×#41—111no—
836C2×#137—111no—
837C2×#137—111no—
838C2×#135—111no—
839C2×#135—111no—
840#556—221no—
841#554—221no—
842#552—221no—
843#552—221no—
844#552—221no—
845#552—221no—
846#551—221no—
847#551—221no—
848#544—111no—
849#542—111no—
850#542—111no—
851#541—111no—
852#541C2×D1111yescharacteristic
853#536—111no—
854#533—111no—
855#533—111no—
856#529—111no—
857#529—111no—
858#525—111no—
859C2×C22⋊Q8—111no—
860#520—111no—
861#520—111no—
862#520—111no—
863#520—111no—
864#520—111no—
865#520—221no—
866#520—221no—
867#519—111no—
868#519—111no—
869#519C2×D1111yescharacteristic
870#518—111no—
871#518—111no—
872#518—221no—
873#518—221no—
874C4×#41—111no—
875C4×#41—111no—
876C4×#41—111no—
877C4×#41—111no—
878C4×#41—221no—
879C4×#41—221no—
880C2×#117—111no—
881C2×#117—111no—
882C2×#117—221no—
883C2×#117—221no—
884#485—111no—
885#485—111no—
886#485—111no—
887#485—111no—
888#485—111no—
889#485—111no—
890#485—111no—
891#485—111no—
892#485—111no—
893#485—111no—
894#485C2×D1111yescharacteristic
895#485C2×D1111yescharacteristic
896#482—111no—
897#482—111no—
898#482—111no—
899#482—111no—
900#479—111no—
901#479—111no—
902#479C2×D1111yescharacteristic, complemented
903#479C2×D1111yescharacteristic, complemented
904#478—111no—
905#478—111no—
906#478—111no—
907#478—111no—
908#477—111no—
909#477—111no—
910#476—111no—
911#476—111no—
912#475—111no—
913#475—111no—
914#474—111no—
915#474—111no—
916#464—111no—
917#464—111no—
918#464—111no—
919#464—111no—
920#463—111no—
921#463—111no—
922#463—111no—
923#463—111no—
924#462—111no—
925#462—111no—
926#462C2×D1111yescharacteristic, complemented
927#462C2×D1111yescharacteristic, complemented
928#461—111no—
929#461—111no—
930#461—111no—
931#461—111no—
932#452—111no—
933#452—111no—
934#452—111no—
935#452—111no—
936#452—111no—
937#452—111no—
938#451—111no—
939#451C2×D1111yescharacteristic
940#451C2×D1111yescharacteristic
941#450—111no—
942#450—111no—
943#450—111no—
944#449—111no—
945#449—111no—
946#448—111no—
947#447—111no—
948#442—111no—
949#442—111no—
950#441—111no—
951#441—111no—
952#441—111no—
953#441—111no—
954#441C2×D1111yescharacteristic, complemented
955#441C2×D1111yescharacteristic, complemented
956#440—111no—
957#440—111no—
958#440—111no—
959#440—111no—
960#440—111no—
961#440—111no—
962#440—111no—
963#440—111no—
964C4×Q16—111no—
965C4×Q16—111no—
966C4×Q16—111no—
967C4×Q16—111no—
968C4×Q16C2×D1111yescharacteristic, complemented
969C4×Q16C2×D1111yescharacteristic, complemented
970C4×SD16—111no—
971C4×SD16—111no—
972C4×SD16—111no—
973C4×SD16—111no—
974C4×SD16—111no—
975C4×SD16—111no—
976C4×SD16—111no—
977C4×SD16—111no—
978C4×D8—111no—
979C4×D8—111no—
980#433—111no—
981#433—111no—
982#433—111no—
983#433C2×D1111yescharacteristic
984#432—111no—
985#432—111no—
986#431—111no—
987#431—111no—
988#428—111no—
989#428—111no—
990C2×#107—111no—
991C2×#106—111no—
992#424—111no—
993#424—111no—
994#417—111no—
995#417—111no—
996#417—111no—
997#417—111no—
998#416—111no—
999#416—111no—
1000C2×#103—111no—
1001C2×#103—111no—
1002#407—111no—
1003C2×C22⋊C8—111no—
1004#405—111no—
1005#405—111no—
1006C22×C11—21no—
1007C22×C11—21no—
1008C22×C11—21no—
1009C22×C11C23×D411yescharacteristic
1010C2×D11—21no—
1011C2×D11—21no—
1012C2×D11—21no—
1013C2×D11—21no—
1014C2×D11—22no—
1015C2×D11—22no—
1016C2×D11—21no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—82no—
1025C2×D11—84no—
1026C2×D11#52512yes—
1027C4×C11—21no—
1028C4×C11—21no—
1029C4×C11—21no—
1030C4×C11—21no—
1031C4×C11—22no—
1032C4×C11—22no—
1033C4×C11—21no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11C22×#4111yescharacteristic
1041C4×C11C22×#4111yescharacteristic
1042Dic11—21no—
1043Dic11—21no—
1044Dic11—21no—
1045Dic11—21no—
1046Dic11—21no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11#52512yes—
1053C2×#41—111no—
1054C2×#41—111no—
1055C2×#41—111no—
1056C2×#41—111no—
1057C2×#41—111no—
1058C2×#41—221no—
1059C2×#41—221no—
1060C2×#41—224no—
1061C2×#41—224no—
1062C22×Q8—111no—
1063C22×Q8C22×D1111yescharacteristic
1064C22×D4—111no—
1065C22×D4—221no—
1066C23×C4—111no—
1067C23×C4—221no—
1068#137—224no—
1069#137—224no—
1070#135—224no—
1071#135—224no—
1072C2×Q16—111no—
1073C2×Q16—111no—
1074C2×Q16C22×D1111yescharacteristic
1075C2×Q16C22×D1111yescharacteristic
1076C2×Q16C22×D1111yescharacteristic
1077C2×Q16C22×D1111yescharacteristic
1078C2×SD16—111no—
1079C2×SD16—111no—
1080C2×SD16—111no—
1081C2×SD16—111no—
1082C2×SD16—111no—
1083C2×SD16—111no—
1084C2×SD16—111no—
1085C2×SD16—111no—
1086C2×D8—111no—
1087C2×D8—111no—
1088C2×M16—111no—
1089C2×M16—111no—
1090C22×C8—111no—
1091C22×C8—111no—
1092C4⋊Q8—111no—
1093C4⋊Q8—111no—
1094C4⋊Q8—111no—
1095C4⋊Q8—221no—
1096C4⋊Q8C22×D1111yescharacteristic
1097#126—21no—
1098#126—21no—
1099#126—221no—
1100#126—221no—
1101#126—221no—
1102#126—221no—
1103#126—221no—
1104#126—221no—
1105#125—21no—
1106#125—21no—
1107#125—111no—
1108#125—221no—
1109#125—221no—
1110#125—221no—
1111#125—221no—
1112#125—221no—
1113#125C22×D1111yescharacteristic
1114#124—111no—
1115#124—111no—
1116#124—221no—
1117#124—221no—
1118#123—221no—
1119#123—221no—
1120#123—221no—
1121#123—221no—
1122#123—221no—
1123#123—221no—
1124#123—221no—
1125C22⋊Q8—111no—
1126C22⋊Q8—111no—
1127C22⋊Q8—111no—
1128C22⋊Q8—111no—
1129C22⋊Q8—221no—
1130C22⋊Q8—221no—
1131C22⋊Q8—221no—
1132C22⋊Q8—221no—
1133C22⋊Q8—221no—
1134C22⋊Q8—221no—
1135C22⋊Q8—221no—
1136C22⋊Q8—221no—
1137C22⋊Q8—221no—
1138C22⋊Q8—221no—
1139C22⋊Q8C22×D1111yescharacteristic
1140C22⋊Q8C22×D1111yescharacteristic
1141#121—111no—
1142#121—111no—
1143#120—221no—
1144C4×Q8—21no—
1145C4×Q8—21no—
1146C4×Q8—111no—
1147C4×Q8—111no—
1148C4×Q8—111no—
1149C4×Q8—111no—
1150C4×Q8—111no—
1151C4×Q8—111no—
1152C4×Q8—111no—
1153C4×Q8—111no—
1154C4×Q8—221no—
1155C4×Q8—221no—
1156C4×Q8—221no—
1157C4×Q8—221no—
1158C4×Q8—221no—
1159C4×Q8—221no—
1160C4×Q8C22×D1111yescharacteristic
1161C4×Q8C22×D1111yescharacteristic
1162C4×Q8C22×D1111yescharacteristic
1163C4×Q8C22×D1111yescharacteristic
1164C4×Q8C22×D1111yescharacteristic
1165C4×Q8C22×D1111yescharacteristic
1166C4×D4—111no—
1167C4×D4—111no—
1168C4×D4—111no—
1169C4×D4—111no—
1170C4×D4—111no—
1171C4×D4—111no—
1172C4×D4—111no—
1173C4×D4—111no—
1174C4×D4—111no—
1175C4×D4—111no—
1176C4×D4—221no—
1177C4×D4—221no—
1178C4×D4—221no—
1179C4×D4—221no—
1180C4×D4—221no—
1181C4×D4—221no—
1182C4×D4—221no—
1183C4×D4—221no—
1184C4×D4—221no—
1185C4×D4—221no—
1186C4×D4—221no—
1187C4×D4—221no—
1188C4×D4—221no—
1189C4×D4—221no—
1190C4×D4—221no—
1191C4×D4—221no—
1192C4×D4—221no—
1193C4×D4—221no—
1194C4×D4—221no—
1195C4×D4—221no—
1196C4×D4—221no—
1197C4×D4—221no—
1198C4×D4—221no—
1199C4×D4—221no—
1200C4×D4—221no—
1201C4×D4—221no—
1202#117—21no—
1203#117—21no—
1204#117—111no—
1205#117—111no—
1206#117—111no—
1207#117—111no—
1208#117—111no—
1209#117—111no—
1210#117—111no—
1211#117—111no—
1212#117—111no—
1213#117—111no—
1214#117—111no—
1215#117—221no—
1216#117—221no—
1217#117—221no—
1218#117—221no—
1219#117—221no—
1220#117—221no—
1221#117—221no—
1222#117—221no—
1223#117—221no—
1224#117—221no—
1225#117—221no—
1226#117—221no—
1227#117—221no—
1228#117—221no—
1229#117—221no—
1230#117—221no—
1231#117—221no—
1232#117—221no—
1233#117—221no—
1234#117C22×D1111yescharacteristic
1235#117C22×D1111yescharacteristic
1236C2×C4⋊C4—111no—
1237C2×C4⋊C4—111no—
1238C2×C4⋊C4—111no—
1239C2×C4⋊C4—111no—
1240C2×C4⋊C4—111no—
1241C2×C4⋊C4—221no—
1242C2×C4⋊C4—221no—
1243C2×C4⋊C4—221no—
1244C2×C4⋊C4—221no—
1245C2×C4⋊C4—221no—
1246C2×C4⋊C4—221no—
1247C2×C22⋊C4—111no—
1248C2×C22⋊C4—111no—
1249C2×C22⋊C4—221no—
1250C2×C22⋊C4—221no—
1251C2×C22⋊C4—221no—
1252C2×C22⋊C4—221no—
1253C2×C22⋊C4—221no—
1254C2×C22⋊C4—221no—
1255C2×C42—111no—
1256C2×C42—111no—
1257C2×C42—221no—
1258C2×C42—221no—
1259C2×C42—221no—
1260C2×C42—221no—
1261C2×C42—221no—
1262#107—111no—
1263#107—111no—
1264#107—111no—
1265#107—111no—
1266#107—111no—
1267#107—111no—
1268#107C22×D1111yescharacteristic
1269#107C22×D1111yescharacteristic
1270#106—111no—
1271#106—111no—
1272#106—111no—
1273#106—111no—
1274#106—111no—
1275#106—111no—
1276#106C22×D1111yescharacteristic
1277#106C22×D1111yescharacteristic
1278C4⋊C8—111no—
1279C4⋊C8—111no—
1280C4⋊C8—111no—
1281C4⋊C8—111no—
1282C4⋊C8—111no—
1283C4⋊C8—111no—
1284C4⋊C8C22×D1111yescharacteristic
1285C4⋊C8C22×D1111yescharacteristic
1286#103—111no—
1287#103—111no—
1288#103—111no—
1289#103—111no—
1290#103—111no—
1291#103—111no—
1292#103—111no—
1293#103—111no—
1294#103—111no—
1295#103—111no—
1296#103—111no—
1297#103—111no—
1298#103C22×D1111yescharacteristic
1299#103C22×D1111yescharacteristic
1300#103C22×D1111yescharacteristic
1301#103C22×D1111yescharacteristic
1302#103C22×D1111yescharacteristic
1303#103C22×D1111yescharacteristic
1304#103C22×D1111yescharacteristic
1305#103C22×D1111yescharacteristic
1306#102—111no—
1307#102—111no—
1308#102—111no—
1309#102—111no—
1310#102—111no—
1311#102—111no—
1312#102—111no—
1313#102—111no—
1314#102—111no—
1315#102—111no—
1316#102—111no—
1317#102—111no—
1318C22⋊C8—111no—
1319C22⋊C8—111no—
1320C22⋊C8—111no—
1321C22⋊C8—111no—
1322C22⋊C8—111no—
1323C22⋊C8—111no—
1324C22⋊C8C22×D1111yescharacteristic
1325C22⋊C8C22×D1111yescharacteristic
1326#97—111no—
1327#97—111no—
1328#97—111no—
1329#97C22×D1111yescharacteristic
1330C4×C8—111no—
1331C4×C8—111no—
1332C4×C8—111no—
1333C4×C8C22×D1111yescharacteristic
1334C2×C11—41no—
1335C2×C11C2×#52511yescharacteristic
1336C2×C11#358411yescharacteristic
1337C2×C11#358611yescharacteristic
1338D11—22no—
1339D11—41no—
1340D11—42no—
1341D11—42no—
1342D11—81no—
1343C24—111no—
1344C24—221no—
1345#41—114no—
1346#41—114no—
1347#41—222no—
1348#41—222no—
1349#41—222no—
1350#41—222no—
1351#41—222no—
1352#41—222no—
1353#41—228no—
1354#41—228no—
1355#41—222no—
1356#41—222no—
1357C2×Q8—22no—
1358C2×Q8—22no—
1359C2×Q8—21no—
1360C2×Q8—111no—
1361C2×Q8—221no—
1362C2×Q8—221no—
1363C2×Q8—222no—
1364C2×Q8—222no—
1365C2×Q8—221no—
1366C2×Q8C23×D1111yescharacteristic
1367C2×Q8C23×D1111yescharacteristic
1368C2×Q8C23×D1111yescharacteristic
1369C2×Q8C23×D1111yescharacteristic
1370C2×D4—111no—
1371C2×D4—111no—
1372C2×D4—111no—
1373C2×D4—222no—
1374C2×D4—222no—
1375C2×D4—221no—
1376C2×D4—221no—
1377C2×D4—221no—
1378C2×D4—221no—
1379C2×D4—228no—
1380C2×D4—221no—
1381C2×D4—221no—
1382C2×D4—221no—
1383C2×D4—221no—
1384C22×C4—21no—
1385C22×C4—111no—
1386C22×C4—111no—
1387C22×C4—111no—
1388C22×C4—111no—
1389C22×C4—111no—
1390C22×C4—111no—
1391C22×C4—111no—
1392C22×C4—111no—
1393C22×C4—111no—
1394C22×C4—221no—
1395C22×C4—221no—
1396C22×C4—221no—
1397C22×C4—221no—
1398C22×C4—222no—
1399C22×C4—222no—
1400C22×C4—221no—
1401C22×C4—221no—
1402C22×C4—221no—
1403C22×C4—221no—
1404C22×C4—221no—
1405C22×C4—221no—
1406C22×C4—228no—
1407C22×C4—221no—
1408C22×C4—221no—
1409C22×C4—221no—
1410C22×C4—221no—
1411C22×C4—221no—
1412C22×C4—221no—
1413C22×C4—221no—
1414C22×C4—221no—
1415C22×C4—221no—
1416C22×C4C23×D1111yescharacteristic
1417Q16—22no—
1418Q16—22no—
1419Q16—22no—
1420Q16—22no—
1421Q16—222no—
1422Q16—222no—
1423SD16—222no—
1424SD16—222no—
1425SD16—222no—
1426SD16—222no—
1427SD16—222no—
1428SD16—222no—
1429SD16—222no—
1430SD16—222no—
1431D8—222no—
1432D8—222no—
1433M16—222no—
1434M16—222no—
1435C2×C8—111no—
1436C2×C8—111no—
1437C2×C8—111no—
1438C2×C8—111no—
1439C2×C8—222no—
1440C2×C8—222no—
1441C2×C8C23×D1111yescharacteristic
1442C2×C8C23×D1111yescharacteristic
1443C2×C8C23×D1111yescharacteristic
1444C2×C8C23×D1111yescharacteristic
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—111no—
1458C4⋊C4—111no—
1459C4⋊C4—111no—
1460C4⋊C4—111no—
1461C4⋊C4—111no—
1462C4⋊C4—111no—
1463C4⋊C4—111no—
1464C4⋊C4—111no—
1465C4⋊C4—111no—
1466C4⋊C4—111no—
1467C4⋊C4—221no—
1468C4⋊C4—221no—
1469C4⋊C4—221no—
1470C4⋊C4—221no—
1471C4⋊C4—221no—
1472C4⋊C4—221no—
1473C4⋊C4—221no—
1474C4⋊C4—221no—
1475C4⋊C4—221no—
1476C4⋊C4—221no—
1477C4⋊C4—221no—
1478C4⋊C4—221no—
1479C4⋊C4—221no—
1480C4⋊C4—221no—
1481C4⋊C4—221no—
1482C4⋊C4—221no—
1483C4⋊C4—221no—
1484C4⋊C4—221no—
1485C4⋊C4—221no—
1486C4⋊C4—221no—
1487C4⋊C4—221no—
1488C4⋊C4D4×D1111yescharacteristic
1489C4⋊C4D4×D1111yescharacteristic
1490C4⋊C4C23×D1111yescharacteristic
1491C4⋊C4C23×D1111yescharacteristic
1492C4⋊C4C23×D1111yescharacteristic
1493C4⋊C4C23×D1111yescharacteristic
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—111no—
1498C22⋊C4—111no—
1499C22⋊C4—111no—
1500C22⋊C4—111no—
1501C22⋊C4—111no—
1502C22⋊C4—111no—
1503C22⋊C4—221no—
1504C22⋊C4—221no—
1505C22⋊C4—221no—
1506C22⋊C4—221no—
1507C22⋊C4—221no—
1508C22⋊C4—221no—
1509C22⋊C4—221no—
1510C22⋊C4—221no—
1511C22⋊C4—221no—
1512C22⋊C4—221no—
1513C22⋊C4—221no—
1514C22⋊C4—221no—
1515C22⋊C4—221no—
1516C22⋊C4—221no—
1517C22⋊C4—221no—
1518C22⋊C4—221no—
1519C22⋊C4—221no—
1520C22⋊C4—221no—
1521C22⋊C4—221no—
1522C22⋊C4—221no—
1523C22⋊C4—221no—
1524C22⋊C4—221no—
1525C22⋊C4—221no—
1526C22⋊C4—221no—
1527C22⋊C4D4×D1111yescharacteristic
1528C22⋊C4D4×D1111yescharacteristic
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—111no—
1537C42—111no—
1538C42—111no—
1539C42—111no—
1540C42—111no—
1541C42—111no—
1542C42—221no—
1543C42—221no—
1544C42—221no—
1545C42—221no—
1546C42—221no—
1547C42—221no—
1548C42—221no—
1549C42—221no—
1550C42—221no—
1551C42—221no—
1552C42—221no—
1553C42—221no—
1554C42C23×D1111yescharacteristic
1555C42C23×D1111yescharacteristic
1556C11#6058611yescharacteristic, complemented, Sylow
1557C23—111no—
1558C23—111no—
1559C23—222no—
1560C23—224no—
1561C23—221no—
1562C23—221no—
1563C23—221no—
1564C23—441no—
1565C23—441no—
1566C23—881no—
1567C23—881no—
1568C23C2×D4×D1111yescharacteristic
1569Q8—24no—
1570Q8—21no—
1571Q8—21no—
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—221no—
1577Q8—221no—
1578Q8—442no—
1579Q8—881no—
1580Q8—881no—
1581Q8#41×D1112yes—
1582Q8#41×D1112yes—
1583D4—112no—
1584D4—112no—
1585D4—224no—
1586D4—224no—
1587D4—224no—
1588D4—224no—
1589D4—224no—
1590D4—221no—
1591D4—221no—
1592D4—221no—
1593D4—221no—
1594D4—442no—
1595D4—442no—
1596D4—881no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—111no—
1609C2×C4—112no—
1610C2×C4—112no—
1611C2×C4—111no—
1612C2×C4—111no—
1613C2×C4—111no—
1614C2×C4—111no—
1615C2×C4—111no—
1616C2×C4—222no—
1617C2×C4—224no—
1618C2×C4—224no—
1619C2×C4—222no—
1620C2×C4—224no—
1621C2×C4—224no—
1622C2×C4—222no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—441no—
1631C2×C4—441no—
1632C2×C4—441no—
1633C2×C4—441no—
1634C2×C4—442no—
1635C2×C4—442no—
1636C2×C4—881no—
1637C2×C4—881no—
1638C2×C4—881no—
1639C2×C4—881no—
1640C2×C4—881no—
1641C2×C4—881no—
1642C2×C4—881no—
1643C2×C4—881no—
1644C2×C4—881no—
1645C2×C4—881no—
1646C2×C4—881no—
1647C2×C4—881no—
1648C2×C4—881no—
1649C2×C4C2×D4×D1111yescharacteristic
1650C2×C4C2×D4×D1111yescharacteristic
1651C2×C4C2×D4×D1111yescharacteristic
1652C2×C4C2×D4×D1111yescharacteristic
1653C2×C4C2×D4×D1111yescharacteristic
1654C2×C4C24×D1111yescharacteristic
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—21no—
1659C8—221no—
1660C8—221no—
1661C8—221no—
1662C8—221no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—112no—
1667C22—221no—
1668C22—221no—
1669C22—221no—
1670C22—221no—
1671C22—222no—
1672C22—222no—
1673C22—221no—
1674C22—441no—
1675C22—441no—
1676C22—441no—
1677C22—441no—
1678C22—441no—
1679C22—441no—
1680C22—441no—
1681C22—882no—
1682C22—884no—
1683C22C22×D4×D1111yescharacteristic
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—22no—
1689C4—22no—
1690C4—21no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—112no—
1698C4—221no—
1699C4—221no—
1700C4—221no—
1701C4—221no—
1702C4—221no—
1703C4—441no—
1704C4—441no—
1705C4—441no—
1706C4—441no—
1707C4—441no—
1708C4C2×#41×D1111yescharacteristic
1709C4C2×#41×D1111yescharacteristic
1710C2—41no—
1711C2—222no—
1712C2—441no—
1713C2—442no—
1714C2—442no—
1715C2—881no—
1716C2D11×#52511yescharacteristic
1717C2#1308338611yescharacteristic
1718C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3127C2
socleC22×C11C23×D4
prime radical#13077839C2
hypercenter#3127D11
hypocenterC11#60586
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3127

Complements

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

NH ≅ G/Ntype
1. #13082360C2semidirect
2. #13081818C2semidirect
3. #13078910C2semidirect
4. #13078864C2semidirect
5. #13078863C2semidirect
6. #13078846C2semidirect
7. #13078845C2semidirect
8. #13078803C2semidirect
9. #13078802C2semidirect
10. #13078777C2semidirect
11. #13078776C2semidirect
12. #13078732C2semidirect
13. #13078731C2semidirect
14. #13078686C2semidirect
15. #13078685C2semidirect
16. #13078641C2semidirect
17. #13078640C2semidirect
18. #13078548C2semidirect
19. D11×#485C2semidirect
20. #13078481C2semidirect
21. #13078470C2semidirect
22. #13078163C2semidirect
23. #13078163C2semidirect
24. #13077875C2semidirect
26. #13077496C2semidirect
27. #13077491C2semidirect
28. #13077458C2semidirect
29. #13077454C2semidirect
30. #13077272C2semidirect
31. C11×#3127C2semidirect
40. #10623259C22semidirect
41. #10623255C22semidirect
49. #10623222C22semidirect
51. #10623220C22semidirect
56. #10623111C22semidirect
57. #10623109C22semidirect
64. #10623105C22semidirect
71. #10623103C22semidirect
83. C11×#479C22semidirect
84. C11×#479C22semidirect
85. C11×#462C22semidirect
86. C11×#462C22semidirect
89. C11×#441C22semidirect
90. C11×#441C22semidirect
91. C4×C11×Q16C22semidirect
92. C4×C11×Q16C22semidirect
100. #10622798C22semidirect
101. #10622798C22semidirect
102. #10622797C22semidirect
103. #10622797C22semidirect
104. Q16×Dic11C22semidirect
105. Q16×Dic11C22semidirect
106. #10622795C22semidirect
107. #10622795C22semidirect
108. #10622696C22semidirect
109. #10622696C22semidirect
110. #10622679C22semidirect
111. #10622679C22semidirect
116. #10622643C22semidirect
117. C4×#4326C22semidirect
118. #10622641C22semidirect
119. #10622641C22semidirect
120. #10622639C22semidirect
121. #10622639C22semidirect
122. #10622639C22semidirect
123. C4×#4325C22semidirect
124. C4×#4325C22semidirect
125. C4×#4325C22semidirect
126. #10622634C22semidirect
127. #10622633C22semidirect
131. #10622504C22semidirect
132. #10622503C22semidirect
133. #10622502C22semidirect
134. #10622501C22semidirect
135. #10622498C22semidirect
136. #10622494C22semidirect
137. D11×#107C22semidirect
138. #10622485C22semidirect
139. #10622484C22semidirect
140. #10622483C22semidirect
141. #10622482C22semidirect
142. #10622480C22semidirect
143. #10622479C22semidirect
144. #10622474C22semidirect
145. D11×#106C22semidirect
146. #10622465C22semidirect
147. #10622459C22semidirect
148. #10622457C22semidirect
149. #10622457C22semidirect
150. #10622455C22semidirect
151. #10622452C22semidirect
152. #10622452C22semidirect
153. #10622448C22semidirect
154. #10622446C22semidirect
155. #10622432C22semidirect
156. #10622432C22semidirect
157. #10622431C22semidirect
158. #10622431C22semidirect
159. #10622430C22semidirect
160. #10622430C22semidirect
161. #10622430C22semidirect
162. #10622428C22semidirect
163. #10622428C22semidirect
164. #10622427C22semidirect
165. #10622427C22semidirect
174. #10622416C22semidirect
175. #10622416C22semidirect
176. D11×#103C22semidirect
177. D11×#103C22semidirect
178. #10622412C22semidirect
179. #10622409C22semidirect
180. #10622407C22semidirect
181. #10622404C22semidirect
182. #10622403C22semidirect
183. #10622402C22semidirect
184. #10622401C22semidirect
185. #10622401C22semidirect
186. #10622401C22semidirect
195. #10622324C22semidirect
196. #10622323C22semidirect
197. #10622321C22semidirect
198. #10622318C22semidirect
199. C4×D88C22semidirect
200. C4×#4314C22semidirect
201. #10622302C22semidirect
202. #10622298C22semidirect
701. #3127D11semidirect
902. #479C2×D11semidirect
903. #479C2×D11semidirect
926. #462C2×D11semidirect
927. #462C2×D11semidirect
954. #441C2×D11semidirect
955. #441C2×D11semidirect
968. C4×Q16C2×D11semidirect
969. C4×Q16C2×D11semidirect
1556. C11#60586semidirect

Maximal subgroups

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

subgroupindex
#130823602
#130818182
#130789102
#130788642
#130788632
#130788462
#130788452
#130788032
#130788022
#130787772
#130787762
#130787322
#130787312
#130786862
#130786852
#130786412
#130786402
#130785482
D11×#4852
#130784812
#130784702
#130781632
#130778752
#130778392
#130774962
#130774912
#130774582
#130774542
#130772722
C11×#31272
#6058611