Finite Group Databasebeta

← #15647086

Subgroups — #15647086

Order 2816.

1838 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#13083046C211yesmaximal, characteristic, complemented
2#13082559C211yesmaximal, characteristic, complemented
3#13081682C211yesmaximal, characteristic, complemented
4#13081671C211yesmaximal, characteristic, complemented
5#13081397C211yesmaximal, characteristic, complemented
6#13080786C211yesmaximal, characteristic, complemented
7#13080664C211yesmaximal, characteristic, complemented
8#13080606C211yesmaximal, characteristic, complemented
9#13080589C211yesmaximal, characteristic, complemented
10#13080502C211yesmaximal, characteristic, complemented
11#13080478C211yesmaximal, characteristic, complemented
12#13080329C211yesmaximal, characteristic, complemented
13SD16×D44C211yesmaximal, characteristic, complemented
14#13080143C211yesmaximal, characteristic, complemented
15#13080132C211yesmaximal, characteristic, complemented
16#13080128C211yesmaximal, characteristic, complemented
17#13080117C211yesmaximal, characteristic, complemented
18#13080061C211yesmaximal, characteristic, complemented
19#13080049C211yesmaximal, characteristic, complemented
20#13079967C211yesmaximal, characteristic, complemented
21#13079726C211yesmaximal, characteristic, complemented
22#13079680C211yesmaximal, characteristic, complemented
23#13079644C211yesmaximal, characteristic, complemented
24#13078867C211yesmaximal, characteristic, complemented
25#13078826C211yesmaximal, characteristic, complemented
26#13078752C211yesmaximal, characteristic, complemented
27#13078167C211yesmaximal, characteristic, complemented
28#13078126C211yesmaximal, characteristic, complemented
29D11×#461C211yesmaximal, characteristic, complemented
30#13077754C211yesmaximal, characteristic, complemented
31C11×#3376C211yesmaximal, characteristic, complemented
32C11×#556C2211yescharacteristic, complemented
33C11×#554C2211yescharacteristic
34C2×#66968C2211yescharacteristic
35C2×SD16×D11C2211yescharacteristic
36C2×SD16×D11C2211yescharacteristic
37C2×SD16×D11C2211yescharacteristic
38C2×#66965C2211yescharacteristic
39C2×#66964C2211yescharacteristic
40#10623264C2211yescharacteristic
41#10623258C2211yescharacteristic, complemented
42#10623257C2211yescharacteristic
43D11×C4⋊Q8C2211yescharacteristic, complemented
44#10623243—21no—
45#10623243—21no—
46#10623238—21no—
47#10623238—21no—
48#10623229C2211yescharacteristic
49#10623226C2211yescharacteristic
50#10623225C2211yescharacteristic
51#10623222C2211yescharacteristic
52#10623208C2211yescharacteristic
53#10623208C2211yescharacteristic, complemented
54#10623206C2211yescharacteristic, complemented
55#10623206C2211yescharacteristic, complemented
56#10623176—21no—
57#10623175—21no—
58#10623174—21no—
59#10623168—21no—
60#10623168—21no—
61#10623166—21no—
62#10623161—21no—
63#10623158—21no—
64#10623116C2211yescharacteristic
65#10623114C2211yescharacteristic, complemented
66#10623114C2211yescharacteristic, complemented
67#10623111C2211yescharacteristic
68Q8×D44C2211yescharacteristic
69Q8×D44C2211yescharacteristic, complemented
70#10623101C2211yescharacteristic, complemented
71#10623088C2211yescharacteristic, complemented
72#10623086C2211yescharacteristic, complemented
73#10623085C2211yescharacteristic
74#10623085C2211yescharacteristic
75D4×D44C2211yescharacteristic
76#10623077C2211yescharacteristic
77#10623076C2211yescharacteristic
78C4×D4×D11C2211yescharacteristic
79#10623061—21no—
80#10623050—21no—
81#10623045—21no—
82C2×#66947—21no—
83C11×#491C2211yescharacteristic, complemented
84C11×#489C2211yescharacteristic, complemented
85C11×#488C2211yescharacteristic, complemented
86C11×#479C2211yescharacteristic, complemented
87C11×#478C2211yescharacteristic, complemented
88C11×#475C2211yescharacteristic, complemented
89C11×#463C2211yescharacteristic
90C11×#463C2211yescharacteristic
91C11×#461C2211yescharacteristic
92C11×#446C2211yescharacteristic, complemented
93C11×#442C2211yescharacteristic
94C11×#440C2211yescharacteristic
95C4×C11×SD16C2211yescharacteristic
96#10622786C2211yescharacteristic
97#10622782C2211yescharacteristic
98#10622775C2211yescharacteristic
99#10622775C2211yescharacteristic
100#10622769C2211yescharacteristic
101#10622766C2211yescharacteristic
102#10622706C2211yescharacteristic, complemented
103#10622704C2211yescharacteristic, complemented
104#10622699C2211yescharacteristic, complemented
105#10622696C2211yescharacteristic, complemented
106#10622682C2211yescharacteristic, complemented
107#10622682C2211yescharacteristic, complemented
108#10622676C2211yescharacteristic, complemented
109#10622676C2211yescharacteristic, complemented
110#10622672C2211yescharacteristic, complemented
111#10622671C2211yescharacteristic
112#10622670C2211yescharacteristic, complemented
113#10622667C2211yescharacteristic, complemented
114#10622643C2211yescharacteristic, complemented
115#10622641C2211yescharacteristic, complemented
116#10622640C2211yescharacteristic
117C4×#4325C2211yescharacteristic, complemented
118#10622637C2211yescharacteristic, complemented
119#10622632C2211yescharacteristic
120#10622632C2211yescharacteristic
121#10622632C2211yescharacteristic
122#10622631C2211yescharacteristic
123#10622631C2211yescharacteristic
124C4×#4324C2211yescharacteristic
125#10622629C2211yescharacteristic, complemented
126#10622627C2211yescharacteristic, complemented
127#10622504C2211yescharacteristic, complemented
128#10622501C2211yescharacteristic, complemented
129#10622500C2211yescharacteristic, complemented
130#10622499C2211yescharacteristic, complemented
131#10622484C2211yescharacteristic, complemented
132#10622481C2211yescharacteristic, complemented
133#10622477C2211yescharacteristic
134#10622477C2211yescharacteristic
135#10622477C2211yescharacteristic, complemented
136#10622475C2211yescharacteristic, complemented
137#10622475C2211yescharacteristic, complemented
138#10622470C2211yescharacteristic, complemented
139#10622462C2211yescharacteristic, complemented
140#10622461C2211yescharacteristic
141#10622458C2211yescharacteristic, complemented
142#10622458C2211yescharacteristic, complemented
143#10622454C2211yescharacteristic, complemented
144#10622454C2211yescharacteristic, complemented
145#10622452C2211yescharacteristic, complemented
146#10622452C2211yescharacteristic, complemented
147#10622449C2211yescharacteristic
148#10622449C2211yescharacteristic, complemented
149#10622447C2211yescharacteristic, complemented
150D11×C4⋊C8C2211yescharacteristic, complemented
151#10622431C2211yescharacteristic, complemented
152#10622431C2211yescharacteristic, complemented
153#10622431C2211yescharacteristic, complemented
154#10622431C2211yescharacteristic, complemented
155#10622427C2211yescharacteristic, complemented
156#10622426C2211yescharacteristic, complemented
157#10622425C2211yescharacteristic
158#10622425C2211yescharacteristic, complemented
159#10622422C2211yescharacteristic, complemented
160#10622421C2211yescharacteristic, complemented
161#10622421C2211yescharacteristic, complemented
162#10622421C2211yescharacteristic, complemented
163#10622420C2211yescharacteristic, complemented
164#10622419C2211yescharacteristic
165#10622419C2211yescharacteristic
166#10622419C2211yescharacteristic
167#10622419C2211yescharacteristic, complemented
168#10622419C2211yescharacteristic, complemented
169#10622415C2211yescharacteristic, complemented
170D11×#103C2211yescharacteristic, complemented
171D11×#103C2211yescharacteristic, complemented
172D11×#103C2211yescharacteristic, complemented
173#10622406C2211yescharacteristic, complemented
174#10622406C2211yescharacteristic, complemented
175#10622400C2211yescharacteristic, complemented
176#10622400C2211yescharacteristic, complemented
177#10622396C2211yescharacteristic
178#10622396C2211yescharacteristic, complemented
179#10622394C2211yescharacteristic
180#10622394C2211yescharacteristic, complemented
181#10622394C2211yescharacteristic, complemented
182#10622391C2211yescharacteristic, complemented
183#10622389C2211yescharacteristic
184#10622389C2211yescharacteristic
185#10622388C2211yescharacteristic
186#10622387C2211yescharacteristic, complemented
187#10622385C2211yescharacteristic, complemented
188#10622384C2211yescharacteristic, complemented
189#10622380C2211yescharacteristic, complemented
190#10622379C2211yescharacteristic
191#10622328C2211yescharacteristic, complemented
192#10622328C2211yescharacteristic, complemented
193#10622323C2211yescharacteristic, complemented
194#10622323C2211yescharacteristic, complemented
195#10622322C2211yescharacteristic, complemented
196#10622319C2211yescharacteristic, complemented
197#10622319C2211yescharacteristic, complemented
198#10622318C2211yescharacteristic, complemented
199C4×Dic44C2211yescharacteristic, complemented
200#10622306C2211yescharacteristic
201#10622303C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic
203C2×#4343—21no—
204C2×Q8×D11C2311yescharacteristic
205C2×Q8×D11C2311yescharacteristic
206C2×Q8×D11C2311yescharacteristic
207C2×Q8×D11C2311yescharacteristic
208C2×#4341C2311yescharacteristic
209C2×#4341C2311yescharacteristic
210C2×#4341C2311yescharacteristic
211C2×D4×D11C2311yescharacteristic
212C2×D4×D11C2311yescharacteristic
213C22×D44—21no—
214C22×C4×D11—21no—
215C2×C11×SD16C2311yescharacteristic
216C2×C11×SD16C2311yescharacteristic
217C2×C11×D8C2311yescharacteristic
218C11×C4⋊Q8C2311yescharacteristic
219C11×C4⋊Q8C2311yescharacteristic
220C11×#126—21no—
221C11×#126—21no—
222C11×#125C2311yescharacteristic
223C11×#125C2311yescharacteristic
224C11×#124C2311yescharacteristic
225C11×#124C2311yescharacteristic
226C11×C22⋊Q8—21no—
227C11×C22⋊Q8—21no—
228C11×C22⋊Q8—21no—
229C11×C22⋊Q8—21no—
230C4×Q8×C11C2311yescharacteristic
231C4×Q8×C11C2311yescharacteristic
232C4×Q8×C11C2311yescharacteristic
233C4×D4×C11C2311yescharacteristic
234C4×D4×C11C2311yescharacteristic
235C4×D4×C11C2311yescharacteristic
236C4×D4×C11C2311yescharacteristic
237C11×#117—21no—
238C2×C11×C4⋊C4—21no—
239#67000—21no—
240#67000—21no—
241#67000D411yescharacteristic
242#66999—21no—
243#66999—21no—
244#66999D411yescharacteristic
245#66999C2311yescharacteristic
246#66999C2311yescharacteristic
247Q8×Dic11—21no—
248#66997C2311yescharacteristic
249#66997C2311yescharacteristic
250C2×#4326C2311yescharacteristic
251C2×#4326C2311yescharacteristic
252C2×#4325C2311yescharacteristic
253C2×#4325C2311yescharacteristic
254C2×#4325C2311yescharacteristic
255C2×#4325C2311yescharacteristic
256#66991C2311yescharacteristic
257#66989C2311yescharacteristic
258D4×Dic11C2311yescharacteristic
259C2×#4324C2311yescharacteristic
260C2×#4324C2311yescharacteristic
261C2×#4324C2311yescharacteristic
262C2×#4324C2311yescharacteristic
263C2×#4323C2311yescharacteristic
264C2×#4323C2311yescharacteristic
265#66983—21no—
266#66983—21no—
267#66983—21no—
268#66983—21no—
269C4×C22⋊D11—21no—
270C4×C22⋊D11—21no—
271C4×C22⋊D11—21no—
272C4×C22⋊D11—21no—
273C2×(C2×D11)⋊C4—21no—
274C2×(C2×D11)⋊C4—21no—
275C2×(C2×D11)⋊C4—21no—
276#66979—21no—
277C2×C4⋊Dic11—21no—
278C2×Dic11⋊C4—21no—
279#66968—42no—
280SD16×D11—42no—
281SD16×D11—42no—
282SD16×D11—42no—
283#66965—42no—
284#66964—42no—
285C2×Dic44C2311yescharacteristic
286C2×Dic44C2311yescharacteristic
287C2×Dic44C2311yescharacteristic
288C2×#4314C2311yescharacteristic
289C2×#4314C2311yescharacteristic
290C2×#4314C2311yescharacteristic
291C2×#4314C2311yescharacteristic
292C2×#4314C2311yescharacteristic
293C2×#4314C2311yescharacteristic
294C2×#4313C2311yescharacteristic
295C2×#4313C2311yescharacteristic
296C2×C8×D11C2311yescharacteristic
297C2×C8×D11C2311yescharacteristic
298C2×C8×D11C2311yescharacteristic
299C2×C8×D11C2311yescharacteristic
300#66951—21no—
301#66951—21no—
302#66951—21no—
303#66951—21no—
304#66951—21no—
305#66951—21no—
306#66951D411yescharacteristic
307#66951D411yescharacteristic
308#66950—21no—
309#66950—21no—
310#66950—21no—
311#66950—21no—
312#66950C2311yescharacteristic
313#66950C2311yescharacteristic
314#66950C2311yescharacteristic
315#66950C2311yescharacteristic
316#66950C2311yescharacteristic
317#66949—21no—
318#66949—21no—
319#66948—21no—
320#66948—21no—
321#66948—21no—
322#66948D411yescharacteristic
323#66948C2311yescharacteristic
324#66948C2311yescharacteristic
325#66948C2311yescharacteristic
326#66948C2311yescharacteristic
327#66947—21no—
328#66947—21no—
329#66947—21no—
330#66947—21no—
331#66947—21no—
332#66947—21no—
333#66947—21no—
334#66947—21no—
335#66947—21no—
336#66947—21no—
337#66947D411yescharacteristic
338#66947D411yescharacteristic
339#66946—21no—
340#66946—21no—
341#66946—21no—
342#66946—21no—
343#66946C2311yescharacteristic
344#66946C2311yescharacteristic
345#66945—21no—
346#66945—21no—
347#66945C2311yescharacteristic
348C4⋊C4×D11—21no—
349C4⋊C4×D11—21no—
350C4⋊C4×D11C2311yescharacteristic
351C4⋊C4×D11C2311yescharacteristic
352#66943—21no—
353#66943—21no—
354#66943—21no—
355#66943—21no—
356#66943D411yescharacteristic
357#66943C2311yescharacteristic
358#66942—21no—
359#66942—21no—
360#66941—21no—
361#66941—21no—
362#66941—21no—
363#66940C2311yescharacteristic
364#66939—21no—
365#66939—21no—
366#66939—21no—
367#66939—21no—
368#66938—21no—
369#66938—21no—
370#66937—21no—
371#66937—21no—
372#66936—21no—
373#66936—21no—
374#66936—21no—
375#66936—21no—
376#66936—21no—
377#66935—21no—
378#66935—21no—
379#66935—21no—
380#66935—21no—
381(C22⋊D11)⋊C4—21no—
382(C22⋊D11)⋊C4—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385(C22⋊D11)⋊C4—21no—
386C22⋊C4×D11—21no—
387C22⋊C4×D11—21no—
388#66932—21no—
389#66931—21no—
390#66931—21no—
391#66931—21no—
392#66931—21no—
393#66931—21no—
394#66931—21no—
395#66930—21no—
396#66929—21no—
397#66929—21no—
398#66928C2311yescharacteristic
399#66928C2311yescharacteristic
400#66927C2311yescharacteristic
401C4×D44—21no—
402C4×D44—21no—
403C4×D44C2311yescharacteristic
404C4×D44C2311yescharacteristic
405C4×D44C2311yescharacteristic
406C4×D44C2311yescharacteristic
407C4×D44C2311yescharacteristic
408#66925C2311yescharacteristic
409#66925C2311yescharacteristic
410C42×D11C2311yescharacteristic
411#66923—21no—
412#66923—21no—
413#66922—21no—
414#66922—21no—
415#66922C2311yescharacteristic
416#66922C2311yescharacteristic
417#66922C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×#106C2311yescharacteristic
424C11×#106C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×C4⋊C8C2311yescharacteristic
427C11×C4⋊C8C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×#97C2311yescharacteristic
439C11×#97C2311yescharacteristic
440C4×C8×C11C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447(C2×D11)⋊C8C2311yescharacteristic
448(C2×D11)⋊C8C2311yescharacteristic
449(C2×D11)⋊C8C2311yescharacteristic
450(C2×D11)⋊C8C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453#66882C2311yescharacteristic
454#66880C2311yescharacteristic
455#66880C2311yescharacteristic
456#66880C2311yescharacteristic
457#66880C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462#66874C2311yescharacteristic
463#66874C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
468#66874C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66872C2311yescharacteristic
475#66872C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478C4⋊(C11⋊C8)C2311yescharacteristic
479C4⋊(C11⋊C8)C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481#66867C2311yescharacteristic
482#66867C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62008—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C2×Q8×C11—21no—
488C2×Q8×C11C2×D411yescharacteristic
489C2×Q8×C11C2411yescharacteristic
490C2×Q8×C11C2411yescharacteristic
491C2×D4×C11C2411yescharacteristic
492C2×D4×C11C2411yescharacteristic
493C22×C4×C11—21no—
494C22×C4×C11—21no—
495C22×C4×C11—21no—
496C22×C4×C11—21no—
497C2×C22⋊D11—21no—
498C2×C22⋊D11—21no—
499C2×C22⋊D11—21no—
500C2×C22⋊D11—21no—
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C22×Dic11—21no—
504C22×Dic11—21no—
505C22×Dic11—21no—
506C22×Dic11—21no—
507#4343—82no—
508Q8×D11—41no—
509Q8×D11—41no—
510Q8×D11—41no—
511Q8×D11—41no—
512Q8×D11—41no—
513Q8×D11—41no—
514Q8×D11—41no—
515Q8×D11—41no—
516#4341—22no—
517#4341—41no—
518#4341—41no—
519#4341—41no—
520#4341—41no—
521#4341—41no—
522D4×D11—22no—
523D4×D11—22no—
524D4×D11—41no—
525D4×D11—41no—
526C2×D44—21no—
527C2×D44—21no—
528C2×D44—21no—
529C2×D44—21no—
530C2×D44—21no—
531C2×D44—21no—
532C2×D44—82no—
533C2×D44C2×D411yescharacteristic
534C2×D44C2×D411yescharacteristic
535C2×D44C2×D411yescharacteristic
536C2×D44C2411yescharacteristic
537C2×D44C2411yescharacteristic
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×D11—21no—
548C2×C4×D11—82no—
549C2×C4×D11C2×D411yescharacteristic
550C2×C4×D11C2×D411yescharacteristic
551C2×C4×D11C2411yescharacteristic
552C2×C4×D11C2411yescharacteristic
553C2×C4×D11C2411yescharacteristic
554C2×Dic22—21no—
555C2×Dic22—21no—
556C2×Dic22—21no—
557C2×Dic22—21no—
558C2×Dic22C2411yescharacteristic
559C2×Dic22C2411yescharacteristic
560C2×Dic22C2411yescharacteristic
561C2×Dic22C2411yescharacteristic
562C11×SD16—22no—
563C11×SD16—22no—
564C11×D8—22no—
565C2×C8×C11C2411yescharacteristic
566C2×C8×C11C2411yescharacteristic
567C2×C8×C11C2411yescharacteristic
568C2×C8×C11C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
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⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
591C11×C22⋊C4—21no—
592C11×C22⋊C4—21no—
593C42×C11—21no—
594C42×C11—21no—
595C42×C11C2411yescharacteristic
596C42×C11C2411yescharacteristic
597C42×C11C2411yescharacteristic
598C22⋊Dic11—21no—
599C22⋊Dic11—21no—
600C22⋊Dic11—21no—
601C22⋊Dic11—21no—
602#4326—41no—
603#4326—41no—
604#4325—41no—
605#4325—41no—
606#4325—41no—
607#4325—41no—
608#4324—22no—
609#4324—22no—
610#4324—22no—
611#4324—41no—
612#4323—41no—
613#4323—41no—
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)⋊C4—21no—
634(C2×D11)⋊C4C2×D411yescharacteristic
635(C2×D11)⋊C4C2×D411yescharacteristic
636(C2×D11)⋊C4C2×D411yescharacteristic
637(C2×D11)⋊C4C2×D411yescharacteristic
638(C2×D11)⋊C4C2×D411yescharacteristic
639(C2×D11)⋊C4C2×D411yescharacteristic
640(C2×D11)⋊C4C2×D411yescharacteristic
641(C2×D11)⋊C4C2×D411yescharacteristic
642(C2×D11)⋊C4C2×D411yescharacteristic
643(C2×D11)⋊C4C2×D411yescharacteristic
644C4⋊Dic11—21no—
645C4⋊Dic11—21no—
646C4⋊Dic11—21no—
647C4⋊Dic11—21no—
648C4⋊Dic11—21no—
649C4⋊Dic11—21no—
650C4⋊Dic11—21no—
651C4⋊Dic11—21no—
652C4⋊Dic11—21no—
653C4⋊Dic11—21no—
654C4⋊Dic11—21no—
655C4⋊Dic11—21no—
656C4⋊Dic11C2×D411yescharacteristic
657C4⋊Dic11C2×D411yescharacteristic
658C4⋊Dic11C2×D411yescharacteristic
659C4⋊Dic11C2411yescharacteristic
660C4⋊Dic11C2411yescharacteristic
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⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4C2×D411yescharacteristic
676Dic11⋊C4C2×D411yescharacteristic
677Dic11⋊C4C2×D411yescharacteristic
678Dic11⋊C4C2×D411yescharacteristic
679C4×Dic11—21no—
680C4×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11C2×D411yescharacteristic
686C4×Dic11C2×D411yescharacteristic
687C4×Dic11C2411yescharacteristic
688C2×C11⋊C8C2411yescharacteristic
689C2×C11⋊C8C2411yescharacteristic
690C2×C11⋊C8C2411yescharacteristic
691C2×C11⋊C8C2411yescharacteristic
692Dic44—41no—
693Dic44—41no—
694Dic44—41no—
695#4314—41no—
696#4314—41no—
697#4314—41no—
698#4314—41no—
699#4314—41no—
700#4314—41no—
701#4313—41no—
702#4313—41no—
703C8×D11—41no—
704C8×D11—41no—
705C8×D11—41no—
706C8×D11—41no—
707#3552—111no—
708#3513—111no—
709#3401—111no—
710#3400—111no—
711#3376D1111yescharacteristic, complemented
712#3372—111no—
713#3320—111no—
714#3312—111no—
715#3308—111no—
716#3307—111no—
717#3300—111no—
718#3298—111no—
719#3282—111no—
720D4×SD16—111no—
721#3267—111no—
722#3266—111no—
723#3266—111no—
724#3265—111no—
725#3260—111no—
726#3258—111no—
727#3250—111no—
728#3225—111no—
729#3221—111no—
730#3218—111no—
731#3123—111no—
732#3120—111no—
733#3114—111no—
734#3046—111no—
735#3042—111no—
736C2×#461—111no—
737#2992—111no—
738C23×C11—21no—
739C23×C11—21no—
740C22×D11—21no—
741C22×D11—21no—
742C22×D11—42no—
743C22×D11—42no—
744C22×D11—42no—
745C22×D11—81no—
746C22×D11—81no—
747C22×D11—81no—
748C22×D11C22×D411yescharacteristic
749C22×D11C22×D411yescharacteristic
750C22×D11C22×D411yescharacteristic
751Q8×C11—21no—
752Q8×C11—21no—
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—41no—
756Q8×C11—81no—
757D4×C11—21no—
758D4×C11—21no—
759D4×C11—21no—
760D4×C11H(5,𝔽2)12yes—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—42no—
768C2×C4×C11—81no—
769C2×C4×C11—81no—
770C2×C4×C11—81no—
771C2×C4×C11C22×D411yescharacteristic
772C2×C4×C11C22×D411yescharacteristic
773C2×C4×C11C22×D411yescharacteristic
774C2×C4×C11C22×D411yescharacteristic
775C2×C4×C11C22×D411yescharacteristic
776C2×C4×C11C22×D411yescharacteristic
777C2×C4×C11C2511yescharacteristic
778C22⋊D11—42no—
779C22⋊D11—42no—
780C22⋊D11—42no—
781C22⋊D11—42no—
782C22⋊D11—81no—
783C22⋊D11—81no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—42no—
791C2×Dic11—81no—
792C2×Dic11—81no—
793C2×Dic11—81no—
794C2×Dic11C22×D411yescharacteristic
795C2×Dic11C22×D411yescharacteristic
796C2×Dic11C22×D411yescharacteristic
797C2×Dic11C22×D411yescharacteristic
798C2×Dic11C22×D411yescharacteristic
799D44—22no—
800D44—22no—
801D44—21no—
802D44—21no—
803D44—21no—
804D44—21no—
805D44—41no—
806D44—42no—
807D44—81no—
808D44—81no—
809D44—81no—
810D44—81no—
811D44—81no—
812C4×D11—22no—
813C4×D11—21no—
814C4×D11—21no—
815C4×D11—21no—
816C4×D11—21no—
817C4×D11—21no—
818C4×D11—21no—
819C4×D11—41no—
820C4×D11—42no—
821C4×D11—81no—
822C4×D11—81no—
823C4×D11—81no—
824C4×D11—81no—
825C4×D11—81no—
826C4×D11—81no—
827C4×D11—81no—
828C4×D11—81no—
829C4×D11—81no—
830Dic22—21no—
831Dic22—21no—
832Dic22—21no—
833Dic22—21no—
834Dic22—21no—
835Dic22—21no—
836Dic22—21no—
837Dic22—21no—
838Dic22—81no—
839Dic22—81no—
840Dic22—81no—
841Dic22—81no—
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×#137—111no—
851C2×AGL(1,ℤ/8)—111no—
852C2×#135—111no—
853C22×SD16—111no—
854C22×SD16—111no—
855C22×SD16—111no—
856#563—221no—
857#563—221no—
858#559—111no—
859#557—111no—
860#556C2×D1111yescharacteristic, complemented
861#554—221no—
862#554C2×D1111yescharacteristic
863#553—111no—
864#553—221no—
865#553—221no—
866#552—111no—
867#551—221no—
868#551—221no—
869D4×Q8—111no—
870D4×Q8—111no—
871D4×Q8—111no—
872#548—111no—
873#548—111no—
874#547—111no—
875#547—111no—
876#546—111no—
877#546—111no—
878#546—221no—
879D42—111no—
880#544—221no—
881#542—111no—
882#542—221no—
883#541—111no—
884#541—111no—
885#540—111no—
886#539—221no—
887#539—221no—
888#539—221no—
889#538—221no—
890#536—111no—
891#536—111no—
892C2×C4⋊Q8—111no—
893#529—111no—
894#529—111no—
895#529—111no—
896#525—221no—
897C2×#123—221no—
898#520—111no—
899#518—111no—
900C2×C4×D4—111no—
901#497—111no—
902#497—111no—
903#497—111no—
904#496—111no—
905#495—111no—
906#492—111no—
907#491—111no—
908#491—111no—
909#491C2×D1111yescharacteristic, complemented
910#489C2×D1111yescharacteristic, complemented
911#488C2×D1111yescharacteristic, complemented
912#487—111no—
913#485—111no—
914#485—111no—
915#484—111no—
916#483—111no—
917#483—111no—
918#480—111no—
919#479—111no—
920#479—111no—
921#479—111no—
922#479C2×D1111yescharacteristic, complemented
923#478—111no—
924#478—111no—
925#478—111no—
926#478C2×D1111yescharacteristic, complemented
927#477—111no—
928#475C2×D1111yescharacteristic, complemented
929#470—111no—
930#468—111no—
931#468—111no—
932#468—111no—
933#467—111no—
934#467—111no—
935#466—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#463—111no—
947#463—111no—
948#463—111no—
949#463—111no—
950#463—111no—
951#463C2×D1111yescharacteristic
952#463C2×D1111yescharacteristic
953#462—111no—
954#462—111no—
955#462—111no—
956#461—111no—
957#461—111no—
958#461—111no—
959#461—111no—
960#461—111no—
961#461—111no—
962#461—111no—
963#461—111no—
964#461—111no—
965#461—111no—
966#461—111no—
967#461—111no—
968#461C2×D1111yescharacteristic
969#460—111no—
970#460—111no—
971#452—111no—
972#452—111no—
973#452—111no—
974#451—111no—
975#451—111no—
976#451—111no—
977#450—111no—
978#450—111no—
979#450—111no—
980#449—111no—
981#449—111no—
982#449—111no—
983#448—111no—
984#448—111no—
985#448—111no—
986#448—111no—
987#448—111no—
988#447—111no—
989#446—111no—
990#446C2×D1111yescharacteristic, complemented
991#442—111no—
992#442C2×D1111yescharacteristic
993#441—111no—
994#440—111no—
995#440—111no—
996#440—111no—
997#440—111no—
998#440C2×D1111yescharacteristic
999C4×Q16—111no—
1000C4×SD16—111no—
1001C4×SD16—111no—
1002C4×SD16C2×D1111yescharacteristic
1003#435—111no—
1004#435—111no—
1005#435—111no—
1006#435—111no—
1007C8×D4—111no—
1008C8×D4—111no—
1009#433—111no—
1010#433—111no—
1011#432—111no—
1012#424—111no—
1013#424—111no—
1014C2×C4⋊C8—111no—
1015#419—111no—
1016#417—111no—
1017#416—111no—
1018C2×#103—111no—
1019C2×#103—111no—
1020C2×#103—111no—
1021C22×C11—22no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11C23×D411yescharacteristic
1028C2×D11—21no—
1029C2×D11—21no—
1030C2×D11—21no—
1031C2×D11—21no—
1032C2×D11—21no—
1033C2×D11—21no—
1034C2×D11—21no—
1035C2×D11—21no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—84no—
1043C2×D11—162no—
1044C2×D11#57712yes—
1045C4×C11—21no—
1046C4×C11—21no—
1047C4×C11—21no—
1048C4×C11—21no—
1049C4×C11—21no—
1050C4×C11—21no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11—41no—
1057C4×C11C2×H(5,𝔽2)11yescharacteristic
1058C4×C11#58511yescharacteristic
1059Dic11—21no—
1060Dic11—21no—
1061Dic11—21no—
1062Dic11—21no—
1063Dic11—21no—
1064Dic11—41no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11—41no—
1070C2×#41—111no—
1071C2×#41—111no—
1072C2×#41—111no—
1073C2×#41—221no—
1074C22×Q8—111no—
1075C22×Q8—111no—
1076C22×Q8—111no—
1077C22×Q8—111no—
1078C22×D4—111no—
1079C22×D4—111no—
1080C22×D4—221no—
1081C23×C4—221no—
1082#137—442no—
1083AGL(1,ℤ/8)—442no—
1084#135—442no—
1085C2×Q16—111no—
1086C2×Q16—111no—
1087C2×Q16—111no—
1088C2×Q16—111no—
1089C2×Q16—111no—
1090C2×SD16—111no—
1091C2×SD16—111no—
1092C2×SD16—111no—
1093C2×SD16—111no—
1094C2×SD16—111no—
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—111no—
1104C2×SD16—442no—
1105C2×SD16—442no—
1106C2×SD16—442no—
1107C2×SD16C22×D1111yescharacteristic
1108C2×SD16C22×D1111yescharacteristic
1109C2×D8—111no—
1110C2×D8—111no—
1111C2×D8C22×D1111yescharacteristic
1112C2×M16—111no—
1113C2×M16—111no—
1114C22×C8—111no—
1115C22×C8—111no—
1116C22×C8—111no—
1117C22×C8—111no—
1118C4⋊Q8—111no—
1119C4⋊Q8—111no—
1120C4⋊Q8—111no—
1121C4⋊Q8—111no—
1122C4⋊Q8—111no—
1123C4⋊Q8—221no—
1124C4⋊Q8—221no—
1125C4⋊Q8—221no—
1126C4⋊Q8—221no—
1127C4⋊Q8—221no—
1128C4⋊Q8C22×D1111yescharacteristic
1129C4⋊Q8C22×D1111yescharacteristic
1130#127—111no—
1131#126—21no—
1132#126—21no—
1133#126—111no—
1134#126—111no—
1135#126—221no—
1136#126—221no—
1137#126—221no—
1138#126—221no—
1139#126—221no—
1140#126—221no—
1141#126—221no—
1142#126—221no—
1143#126—221no—
1144#125—111no—
1145#125—111no—
1146#125—221no—
1147#125—221no—
1148#125—221no—
1149#125—221no—
1150#125—221no—
1151#125—221no—
1152#125—221no—
1153#125—221no—
1154#125C22×D1111yescharacteristic
1155#125C22×D1111yescharacteristic
1156#124—111no—
1157#124—111no—
1158#124—111no—
1159#124—111no—
1160#124—221no—
1161#124—221no—
1162#124—221no—
1163#124—221no—
1164#124C22×D1111yescharacteristic
1165#124C22×D1111yescharacteristic
1166#123—111no—
1167#123—111no—
1168#123—221no—
1169#123—221no—
1170#123—221no—
1171#123—221no—
1172#123—221no—
1173#123—221no—
1174#123—221no—
1175#123—221no—
1176#123—221no—
1177#123—221no—
1178#123—221no—
1179#123—221no—
1180#123—221no—
1181#123—221no—
1182#123—221no—
1183#123—221no—
1184#123—221no—
1185#123—221no—
1186#123—221no—
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—111no—
1192C22⋊Q8—111no—
1193C22⋊Q8—111no—
1194C22⋊Q8—111no—
1195C22⋊Q8—111no—
1196C22⋊Q8—111no—
1197C22⋊Q8—111no—
1198C22⋊Q8—111no—
1199C22⋊Q8—221no—
1200C22⋊Q8—221no—
1201C22⋊Q8—221no—
1202C22⋊Q8—221no—
1203C22⋊Q8—221no—
1204C22⋊Q8—221no—
1205C22⋊Q8—221no—
1206C22⋊Q8—221no—
1207C22⋊Q8—221no—
1208C22⋊Q8—221no—
1209C22⋊Q8—221no—
1210C22⋊Q8—221no—
1211C22⋊Q8—221no—
1212C22⋊Q8—221no—
1213#121—111no—
1214#121—111no—
1215#121—111no—
1216#121—111no—
1217#121—111no—
1218#121—111no—
1219#121—221no—
1220#121—221no—
1221#121—221no—
1222#121—221no—
1223#121—221no—
1224#121—221no—
1225#121—221no—
1226#121—221no—
1227#121—221no—
1228#120—221no—
1229#120—221no—
1230#120—221no—
1231#120—221no—
1232C4×Q8—111no—
1233C4×Q8—111no—
1234C4×Q8—111no—
1235C4×Q8—111no—
1236C4×Q8—111no—
1237C4×Q8—221no—
1238C4×Q8C22×D1111yescharacteristic
1239C4×Q8C22×D1111yescharacteristic
1240C4×Q8C22×D1111yescharacteristic
1241C4×D4—111no—
1242C4×D4—111no—
1243C4×D4—111no—
1244C4×D4—111no—
1245C4×D4—111no—
1246C4×D4—111no—
1247C4×D4—111no—
1248C4×D4—111no—
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×D4—221no—
1258C4×D4—221no—
1259C4×D4—221no—
1260C4×D4—221no—
1261C4×D4—221no—
1262C4×D4—221no—
1263C4×D4—221no—
1264C4×D4C22×D1111yescharacteristic
1265C4×D4C22×D1111yescharacteristic
1266C4×D4C22×D1111yescharacteristic
1267C4×D4C22×D1111yescharacteristic
1268#117—21no—
1269#117—111no—
1270#117—111no—
1271#117—111no—
1272#117—221no—
1273#117—221no—
1274#117—221no—
1275#117—221no—
1276C2×C4⋊C4—21no—
1277C2×C4⋊C4—111no—
1278C2×C4⋊C4—111no—
1279C2×C4⋊C4—221no—
1280C2×C4⋊C4—221no—
1281C2×C4⋊C4—221no—
1282C2×C4⋊C4—221no—
1283C2×C22⋊C4—221no—
1284C2×C22⋊C4—221no—
1285C2×C22⋊C4—221no—
1286C2×C22⋊C4—221no—
1287C2×C22⋊C4—221no—
1288C2×C42—111no—
1289#107—111no—
1290#107—111no—
1291#107—111no—
1292#107C22×D1111yescharacteristic
1293#106—111no—
1294#106—111no—
1295#106C22×D1111yescharacteristic
1296#106C22×D1111yescharacteristic
1297C4⋊C8—111no—
1298C4⋊C8—111no—
1299C4⋊C8—111no—
1300C4⋊C8—111no—
1301C4⋊C8—111no—
1302C4⋊C8—111no—
1303C4⋊C8—111no—
1304C4⋊C8C22×D1111yescharacteristic
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#103—111no—
1322#103—111no—
1323#103C22×D1111yescharacteristic
1324#103C22×D1111yescharacteristic
1325#103C22×D1111yescharacteristic
1326#103C22×D1111yescharacteristic
1327#103C22×D1111yescharacteristic
1328#103C22×D1111yescharacteristic
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⋊C8—111no—
1344C22⋊C8—111no—
1345#97—111no—
1346#97—111no—
1347#97C22×D1111yescharacteristic
1348#97C22×D1111yescharacteristic
1349C4×C8—111no—
1350C4×C8C22×D1111yescharacteristic
1351C2×C11—42no—
1352C2×C11—81no—
1353C2×C11#348811yescharacteristic
1354C2×C11C2×#57711yescharacteristic
1355C2×C11#358611yescharacteristic
1356D11—22no—
1357D11—41no—
1358D11—41no—
1359D11—81no—
1360D11—81no—
1361C24—221no—
1362C24—221no—
1363#41—222no—
1364#41—441no—
1365#41—441no—
1366#41—441no—
1367#41—441no—
1368#41—441no—
1369#41—882no—
1370C2×Q8—21no—
1371C2×Q8—111no—
1372C2×Q8—111no—
1373C2×Q8—111no—
1374C2×Q8—111no—
1375C2×Q8—221no—
1376C2×Q8—221no—
1377C2×Q8—221no—
1378C2×Q8—221no—
1379C2×Q8—441no—
1380C2×Q8—441no—
1381C2×Q8—441no—
1382C2×Q8—441no—
1383C2×Q8—441no—
1384C2×Q8—441no—
1385C2×Q8—441no—
1386C2×Q8—441no—
1387C2×Q8D4×D1111yescharacteristic
1388C2×Q8C23×D1111yescharacteristic
1389C2×Q8C23×D1111yescharacteristic
1390C2×D4—111no—
1391C2×D4—111no—
1392C2×D4—111no—
1393C2×D4—111no—
1394C2×D4—111no—
1395C2×D4—221no—
1396C2×D4—221no—
1397C2×D4—221no—
1398C2×D4—221no—
1399C2×D4—221no—
1400C2×D4—221no—
1401C2×D4—222no—
1402C2×D4—222no—
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—882no—
1412C2×D4C23×D1111yescharacteristic
1413C2×D4C23×D1111yescharacteristic
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
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×C4—221no—
1436C22×C4—221no—
1437C22×C4—882no—
1438Q16—441no—
1439Q16—441no—
1440Q16—441no—
1441Q16—441no—
1442Q16—441no—
1443SD16—22no—
1444SD16—22no—
1445SD16—222no—
1446SD16—222no—
1447SD16—222no—
1448SD16—441no—
1449SD16—441no—
1450SD16—441no—
1451SD16—441no—
1452SD16—441no—
1453SD16—441no—
1454SD16—441no—
1455SD16—441no—
1456SD16—441no—
1457SD16—441no—
1458SD16—441no—
1459D8—22no—
1460D8—441no—
1461D8—441no—
1462M16—441no—
1463M16—441no—
1464C2×C8—111no—
1465C2×C8—111no—
1466C2×C8—111no—
1467C2×C8—111no—
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—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—111no—
1486C4⋊C4—111no—
1487C4⋊C4—111no—
1488C4⋊C4—111no—
1489C4⋊C4—111no—
1490C4⋊C4—111no—
1491C4⋊C4—111no—
1492C4⋊C4—111no—
1493C4⋊C4—111no—
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⋊C4—221no—
1518C4⋊C4—221no—
1519C4⋊C4—221no—
1520C4⋊C4D4×D1111yescharacteristic
1521C4⋊C4D4×D1111yescharacteristic
1522C4⋊C4D4×D1111yescharacteristic
1523C4⋊C4C23×D1111yescharacteristic
1524C4⋊C4C23×D1111yescharacteristic
1525C4⋊C4C23×D1111yescharacteristic
1526C4⋊C4C23×D1111yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—111no—
1536C22⋊C4—111no—
1537C22⋊C4—111no—
1538C22⋊C4—111no—
1539C22⋊C4—111no—
1540C22⋊C4—111no—
1541C22⋊C4—111no—
1542C22⋊C4—111no—
1543C22⋊C4—111no—
1544C22⋊C4—111no—
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—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C42—21no—
1570C42—21no—
1571C42—111no—
1572C42—111no—
1573C42—111no—
1574C42—221no—
1575C42—221no—
1576C42—221no—
1577C42—221no—
1578C42—221no—
1579C42—221no—
1580C42C23×D1111yescharacteristic
1581C42C23×D1111yescharacteristic
1582C42C23×D1111yescharacteristic
1583C11#6200811yescharacteristic, complemented, Sylow
1584C23—21no—
1585C23—21no—
1586C23—111no—
1587C23—111no—
1588C23—111no—
1589C23—221no—
1590C23—221no—
1591C23—442no—
1592C23—442no—
1593C23—442no—
1594C23—881no—
1595C23—881no—
1596C23—881no—
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—41no—
1602Q8—81no—
1603Q8—221no—
1604Q8—221no—
1605Q8—221no—
1606Q8—221no—
1607Q8—221no—
1608Q8—221no—
1609Q8—221no—
1610Q8—221no—
1611Q8—881no—
1612Q8—881no—
1613Q8—881no—
1614Q8—881no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—222no—
1619D4—222no—
1620D4—221no—
1621D4—221no—
1622D4—221no—
1623D4—221no—
1624D4—441no—
1625D4—442no—
1626D4—442no—
1627D4—442no—
1628D4—442no—
1629D4—442no—
1630D4—881no—
1631D4—881no—
1632D4—881no—
1633D4—881no—
1634D4—881no—
1635D4—881no—
1636D4—881no—
1637D4#6704212yes—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—42no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—111no—
1649C2×C4—111no—
1650C2×C4—111no—
1651C2×C4—111no—
1652C2×C4—111no—
1653C2×C4—222no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—221no—
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—441no—
1667C2×C4—442no—
1668C2×C4—442no—
1669C2×C4—881no—
1670C2×C4—881no—
1671C2×C4—881no—
1672C2×C4—881no—
1673C2×C4—881no—
1674C2×C4—881no—
1675C2×C4—881no—
1676C2×C4—881no—
1677C2×C4—881no—
1678C2×C4—881no—
1679C2×C4—881no—
1680C2×C4—881no—
1681C2×C4C2×D4×D1111yescharacteristic
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—22no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—112no—
1703C22—221no—
1704C22—221no—
1705C22—221no—
1706C22—221no—
1707C22—221no—
1708C22—221no—
1709C22—221no—
1710C22—221no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—884no—
1718C22—1762no—
1719C22C22×D4×D1111yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—221no—
1733C4—221no—
1734C4—221no—
1735C4—221no—
1736C4—221no—
1737C4—441no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4C2×#6704211yescharacteristic
1744C4#1062345711yescharacteristic
1745C2—42no—
1746C2—81no—
1747C2—222no—
1748C2—441no—
1749C2—441no—
1750C2—881no—
1751C2—881no—
1752C2#1308228211yescharacteristic
1753C2D11×#57711yescharacteristic
1754C2#1308340011yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3376C2
socleC22×C11C23×D4
hypercenter#3376D11
hypocenterC11#62008
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #13083046C2semidirect
2. #13082559C2semidirect
3. #13081682C2semidirect
4. #13081671C2semidirect
5. #13081397C2semidirect
6. #13080786C2semidirect
7. #13080664C2semidirect
8. #13080606C2semidirect
9. #13080589C2semidirect
10. #13080502C2semidirect
11. #13080478C2semidirect
12. #13080329C2semidirect
13. SD16×D44C2semidirect
14. #13080143C2semidirect
15. #13080132C2semidirect
16. #13080128C2semidirect
17. #13080117C2semidirect
18. #13080061C2semidirect
19. #13080049C2semidirect
20. #13079967C2semidirect
21. #13079726C2semidirect
22. #13079680C2semidirect
23. #13079644C2semidirect
24. #13078867C2semidirect
25. #13078826C2semidirect
26. #13078752C2semidirect
27. #13078167C2semidirect
28. #13078126C2semidirect
29. D11×#461C2semidirect
30. #13077754C2semidirect
31. C11×#3376C2semidirect
32. C11×#556C22semidirect
41. #10623258C22semidirect
43. D11×C4⋊Q8C22semidirect
53. #10623208C22semidirect
54. #10623206C22semidirect
55. #10623206C22semidirect
65. #10623114C22semidirect
66. #10623114C22semidirect
69. Q8×D44C22semidirect
70. #10623101C22semidirect
71. #10623088C22semidirect
72. #10623086C22semidirect
83. C11×#491C22semidirect
84. C11×#489C22semidirect
85. C11×#488C22semidirect
86. C11×#479C22semidirect
87. C11×#478C22semidirect
88. C11×#475C22semidirect
92. C11×#446C22semidirect
102. #10622706C22semidirect
103. #10622704C22semidirect
104. #10622699C22semidirect
105. #10622696C22semidirect
106. #10622682C22semidirect
107. #10622682C22semidirect
108. #10622676C22semidirect
109. #10622676C22semidirect
110. #10622672C22semidirect
112. #10622670C22semidirect
113. #10622667C22semidirect
114. #10622643C22semidirect
115. #10622641C22semidirect
117. C4×#4325C22semidirect
118. #10622637C22semidirect
125. #10622629C22semidirect
126. #10622627C22semidirect
127. #10622504C22semidirect
128. #10622501C22semidirect
129. #10622500C22semidirect
130. #10622499C22semidirect
131. #10622484C22semidirect
132. #10622481C22semidirect
135. #10622477C22semidirect
136. #10622475C22semidirect
137. #10622475C22semidirect
138. #10622470C22semidirect
139. #10622462C22semidirect
141. #10622458C22semidirect
142. #10622458C22semidirect
143. #10622454C22semidirect
144. #10622454C22semidirect
145. #10622452C22semidirect
146. #10622452C22semidirect
148. #10622449C22semidirect
149. #10622447C22semidirect
150. D11×C4⋊C8C22semidirect
151. #10622431C22semidirect
152. #10622431C22semidirect
153. #10622431C22semidirect
154. #10622431C22semidirect
155. #10622427C22semidirect
156. #10622426C22semidirect
158. #10622425C22semidirect
159. #10622422C22semidirect
160. #10622421C22semidirect
161. #10622421C22semidirect
162. #10622421C22semidirect
163. #10622420C22semidirect
167. #10622419C22semidirect
168. #10622419C22semidirect
169. #10622415C22semidirect
170. D11×#103C22semidirect
171. D11×#103C22semidirect
172. D11×#103C22semidirect
173. #10622406C22semidirect
174. #10622406C22semidirect
175. #10622400C22semidirect
176. #10622400C22semidirect
178. #10622396C22semidirect
180. #10622394C22semidirect
181. #10622394C22semidirect
182. #10622391C22semidirect
186. #10622387C22semidirect
187. #10622385C22semidirect
188. #10622384C22semidirect
189. #10622380C22semidirect
191. #10622328C22semidirect
192. #10622328C22semidirect
193. #10622323C22semidirect
194. #10622323C22semidirect
195. #10622322C22semidirect
196. #10622319C22semidirect
197. #10622319C22semidirect
198. #10622318C22semidirect
199. C4×Dic44C22semidirect
201. #10622303C22semidirect
711. #3376D11semidirect
860. #556C2×D11semidirect
909. #491C2×D11semidirect
910. #489C2×D11semidirect
911. #488C2×D11semidirect
922. #479C2×D11semidirect
926. #478C2×D11semidirect
928. #475C2×D11semidirect
990. #446C2×D11semidirect
1583. C11#62008semidirect

Maximal subgroups

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

subgroupindex
#130830462
#130825592
#130816822
#130816712
#130813972
#130807862
#130806642
#130806062
#130805892
#130805022
#130804782
#130803292
SD16×D442
#130801432
#130801322
#130801282
#130801172
#130800612
#130800492
#130799672
#130797262
#130796802
#130796442
#130788672
#130788262
#130787522
#130781672
#130781262
D11×#4612
#130777542
C11×#33762
#6200811