Finite Group Databasebeta

← #15647018

Subgroups — #15647018

Order 2816.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082574C211yesmaximal, characteristic, complemented
2#13082210C211yesmaximal, characteristic, complemented
3#13081628C211yesmaximal, characteristic, complemented
4#13081615C211yesmaximal, characteristic, complemented
5#13081315C211yesmaximal, characteristic, complemented
6#13081298C211yesmaximal, characteristic, complemented
7#13080897C211yesmaximal, characteristic, complemented
8#13080870C211yesmaximal, characteristic, complemented
9#13080863C211yesmaximal, characteristic, complemented
10#13080843C211yesmaximal, characteristic, complemented
11#13080820C211yesmaximal, characteristic, complemented
12#13080279C211yesmaximal, characteristic, complemented
13#13080274C211yesmaximal, characteristic, complemented
14#13080266C211yesmaximal, characteristic, complemented
15#13080254C211yesmaximal, characteristic, complemented
16#13080243C211yesmaximal, characteristic, complemented
17#13080234C211yesmaximal, characteristic, complemented
18#13080016C211yesmaximal, characteristic, complemented
19#13080013C211yesmaximal, characteristic, complemented
20#13079971C211yesmaximal, characteristic, complemented
21#13079582C211yesmaximal, characteristic, complemented
22#13079578C211yesmaximal, characteristic, complemented
23#13079547C211yesmaximal, characteristic, complemented
24#13078693C211yesmaximal, characteristic, complemented
25#13078637C211yesmaximal, characteristic, complemented
26#13078630C211yesmaximal, characteristic, complemented
27#13078109C211yesmaximal, characteristic, complemented
28#13078105C211yesmaximal, characteristic, complemented
29#13078087C211yesmaximal, characteristic, complemented
30#13077744C211yesmaximal, characteristic, complemented
31C11×#3322C211yesmaximal, characteristic, complemented
32C11×#553C2211yescharacteristic, complemented
33C11×#546C2211yescharacteristic
34#10623363C2211yescharacteristic
35#10623362C2211yescharacteristic
36C2×#67004C2211yescharacteristic, complemented
37D4×C22⋊D11C2211yescharacteristic
38C2×#66989C2211yescharacteristic
39C2×#66985C2211yescharacteristic
40C2×#66968C2211yescharacteristic, complemented
41C2×#66964C2211yescharacteristic
42C2×#66962C2211yescharacteristic, complemented
43C2×#66962C2211yescharacteristic, complemented
44#10623237—21no—
45#10623233—21no—
46#10623222C2211yescharacteristic, complemented
47#10623216C2211yescharacteristic, complemented
48D11×#124C2211yescharacteristic
49#10623202C2211yescharacteristic
50#10623195—21no—
51#10623193—21no—
52#10623190—21no—
53#10623180—21no—
54#10623163C2211yescharacteristic
55#10623155C2211yescharacteristic
56#10623147—21no—
57#10623144—21no—
58#10623143C2211yescharacteristic
59#10623132—21no—
60#10623131C2211yescharacteristic
61#10623131C2211yescharacteristic, complemented
62#10623130C2211yescharacteristic
63#10623129C2211yescharacteristic, complemented
64#10623127—21no—
65#10623127C2211yescharacteristic, complemented
66#10623124—21no—
67#10623122—21no—
68#10623090C2211yescharacteristic
69#10623090C2211yescharacteristic, complemented
70#10623088C2211yescharacteristic
71#10623083C2211yescharacteristic
72#10623083C2211yescharacteristic, complemented
73#10623071—21no—
74C4×#4341—21no—
75C4×#4341C2211yescharacteristic
76C4×#4341C2211yescharacteristic, complemented
77#10623064C2211yescharacteristic
78#10623053C2211yescharacteristic, complemented
79#10623045C2211yescharacteristic, complemented
80C2×#66940C2211yescharacteristic, complemented
81#10623026—21no—
82#10623017—21no—
83C11×#488C2211yescharacteristic
84C11×#485C2211yescharacteristic, complemented
85C11×#480C2211yescharacteristic
86C11×#478C2211yescharacteristic, complemented
87C11×#469C2211yescharacteristic
88C11×#468C2211yescharacteristic, complemented
89C11×#463C2211yescharacteristic
90C11×#449C2211yescharacteristic, complemented
91C11×#447C2211yescharacteristic
92C4×C11×D8C2211yescharacteristic, complemented
93C11×#436C2211yescharacteristic, complemented
94C11×#418C2211yescharacteristic
95C11×#417C2211yescharacteristic, complemented
96#10622851C2211yescharacteristic, complemented
97#10622831C2211yescharacteristic
98#10622788C2211yescharacteristic, complemented
99#10622779C2211yescharacteristic, complemented
100#10622778C2211yescharacteristic, complemented
101#10622771C2211yescharacteristic
102#10622768C2211yescharacteristic
103#10622768C2211yescharacteristic, complemented
104#10622766C2211yescharacteristic
105#10622766C2211yescharacteristic, complemented
106#10622764C2211yescharacteristic
107#10622763C2211yescharacteristic
108#10622747C2211yescharacteristic
109#10622747C2211yescharacteristic, complemented
110#10622741C2211yescharacteristic
111#10622741C2211yescharacteristic, complemented
112#10622731C2211yescharacteristic, complemented
113#10622731C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic, complemented
115#10622676C2211yescharacteristic, complemented
116#10622672C2211yescharacteristic
117#10622667C2211yescharacteristic
118#10622665C2211yescharacteristic, complemented
119#10622660C2211yescharacteristic, complemented
120#10622655C2211yescharacteristic, complemented
121#10622653C2211yescharacteristic
122#10622653C2211yescharacteristic, complemented
123#10622652C2211yescharacteristic
124#10622652C2211yescharacteristic
125#10622650C2211yescharacteristic, complemented
126C4×#4324C2211yescharacteristic, complemented
127C4×#4324C2211yescharacteristic, complemented
128#10622629C2211yescharacteristic, complemented
129#10622629C2211yescharacteristic, complemented
130#10622625C2211yescharacteristic, complemented
131#10622617C2211yescharacteristic, complemented
132#10622616C2211yescharacteristic
133#10622584C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622504C2211yescharacteristic, complemented
136#10622501C2211yescharacteristic, complemented
137#10622499C2211yescharacteristic, complemented
138#10622490C2211yescharacteristic, complemented
139#10622490C2211yescharacteristic, complemented
140#10622486C2211yescharacteristic, complemented
141#10622486C2211yescharacteristic, complemented
142#10622485C2211yescharacteristic, complemented
143#10622484C2211yescharacteristic, complemented
144#10622481C2211yescharacteristic, complemented
145#10622467C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622450C2211yescharacteristic, complemented
150#10622443C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622421C2211yescharacteristic, complemented
153#10622419C2211yescharacteristic, complemented
154#10622415C2211yescharacteristic, complemented
155#10622411C2211yescharacteristic, complemented
156#10622411C2211yescharacteristic, complemented
157#10622409C2211yescharacteristic, complemented
158#10622406C2211yescharacteristic, complemented
159#10622406C2211yescharacteristic, complemented
160#10622405C2211yescharacteristic, complemented
161#10622403C2211yescharacteristic, complemented
162#10622401C2211yescharacteristic, complemented
163#10622400C2211yescharacteristic
164#10622400C2211yescharacteristic
165#10622400C2211yescharacteristic, complemented
166#10622400C2211yescharacteristic, complemented
167#10622400C2211yescharacteristic, complemented
168#10622397C2211yescharacteristic
169#10622396C2211yescharacteristic, complemented
170#10622395C2211yescharacteristic
171#10622393C2211yescharacteristic
172#10622389C2211yescharacteristic
173#10622386C2211yescharacteristic
174#10622383C2211yescharacteristic
175#10622381C2211yescharacteristic
176#10622381C2211yescharacteristic, complemented
177#10622380C2211yescharacteristic
178#10622380C2211yescharacteristic
179#10622380C2211yescharacteristic
180#10622380C2211yescharacteristic, complemented
181#10622380C2211yescharacteristic, complemented
182#10622380C2211yescharacteristic, complemented
183#10622379C2211yescharacteristic, complemented
184#10622375C2211yescharacteristic
185#10622375C2211yescharacteristic
186#10622375C2211yescharacteristic, complemented
187#10622373C2211yescharacteristic
188#10622372C2211yescharacteristic
189#10622371C2211yescharacteristic
190#10622371C2211yescharacteristic
191#10622352C2211yescharacteristic, complemented
192#10622352C2211yescharacteristic, complemented
193#10622347C2211yescharacteristic
194#10622347C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic
196#10622342C2211yescharacteristic, complemented
197#10622331C2211yescharacteristic, complemented
198#10622331C2211yescharacteristic, complemented
199C4×Dic44C2211yescharacteristic, complemented
200#10622309C2211yescharacteristic, complemented
201#10622298C2211yescharacteristic, complemented
202C8×Dic22C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C2×Q8×D11C2311yescharacteristic
207C2×#4341—21no—
208C2×#4341D411yescharacteristic
209C2×#4341C2311yescharacteristic
210C2×D4×D11C2311yescharacteristic
211C2×#4339C2311yescharacteristic
212C2×#4339C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C2×C11×SD16C2311yescharacteristic
216C2×C11×D8C2311yescharacteristic
217C2×C11×D8C2311yescharacteristic
218C2×C11×M16C2311yescharacteristic
219C2×C11×M16C2311yescharacteristic
220C11×#126—21no—
221C11×#125C2311yescharacteristic
222C11×#124C2311yescharacteristic
223C11×#123—21no—
224C11×#123—21no—
225C11×C22⋊Q8C2311yescharacteristic
226C11×#121—21no—
227C11×#121—21no—
228C11×#121C2311yescharacteristic
229C11×#121C2311yescharacteristic
230C11×#121C2311yescharacteristic
231C11×#120—21no—
232C4×D4×C11—21no—
233C4×D4×C11C2311yescharacteristic
234C4×D4×C11C2311yescharacteristic
235C4×D4×C11C2311yescharacteristic
236C11×#117C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4—21no—
239#67006—21no—
240C2×C22⋊Dic11—21no—
241C2×C22⋊Dic11—21no—
242#67004—42no—
243#67000C2311yescharacteristic
244Q8×Dic11C2311yescharacteristic
245#66997C2311yescharacteristic
246C2×#4326C2311yescharacteristic
247C2×#4326C2311yescharacteristic
248C2×#4325C2311yescharacteristic
249#66993—21no—
250#66993C2311yescharacteristic
251#66993C2311yescharacteristic
252#66992—21no—
253#66992—21no—
254#66992—21no—
255#66992—21no—
256#66992—21no—
257#66992—21no—
258#66992—21no—
259#66992—21no—
260#66991—21no—
261#66991—21no—
262#66991C2311yescharacteristic
263#66990—21no—
264#66990—21no—
265#66989—21no—
266#66989—21no—
267#66989—21no—
268#66989C2311yescharacteristic
269#66989C2311yescharacteristic
270#66989C2311yescharacteristic
271#66989C2311yescharacteristic
272#66989C2311yescharacteristic
273#66988—21no—
274#66988—21no—
275D4×Dic11—21no—
276D4×Dic11—21no—
277D4×Dic11—21no—
278D4×Dic11D411yescharacteristic
279D4×Dic11C2311yescharacteristic
280D4×Dic11C2311yescharacteristic
281C2×#4324C2311yescharacteristic
282C2×#4324C2311yescharacteristic
283C2×#4324C2311yescharacteristic
284C2×#4324C2311yescharacteristic
285C2×#4324C2311yescharacteristic
286C2×#4324C2311yescharacteristic
287#66985—42no—
288C2×#4323C2311yescharacteristic
289C2×#4323C2311yescharacteristic
290C2×#4323C2311yescharacteristic
291#66983—21no—
292#66983C2311yescharacteristic
293#66983C2311yescharacteristic
294#66982—21no—
295#66982—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11—21no—
300C4×C22⋊D11—21no—
301C4×C22⋊D11—21no—
302C4×C22⋊D11—21no—
303C4×C22⋊D11—21no—
304C4×C22⋊D11C2311yescharacteristic
305C4×C22⋊D11C2311yescharacteristic
306#66979—21no—
307#66977—21no—
308#66977C2311yescharacteristic
309#66977C2311yescharacteristic
310C2×Dic11⋊C4—21no—
311C2×C4×Dic11—21no—
312C2×C4×Dic11—21no—
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×#4318C2311yescharacteristic
316C2×#4318C2311yescharacteristic
317#66968—42no—
318#66964—42no—
319#66962—42no—
320#66962—42no—
321C2×Dic44C2311yescharacteristic
322C2×Dic44C2311yescharacteristic
323C2×Dic44C2311yescharacteristic
324C2×Dic44C2311yescharacteristic
325C2×D88C2311yescharacteristic
326C2×#4314C2311yescharacteristic
327C2×#4314C2311yescharacteristic
328C2×#4314C2311yescharacteristic
329C2×#4314C2311yescharacteristic
330C2×#4313C2311yescharacteristic
331C2×#4313C2311yescharacteristic
332#66951—21no—
333#66951—21no—
334#66951—21no—
335#66950C2311yescharacteristic
336#66950C2311yescharacteristic
337#66949—21no—
338#66949—21no—
339#66949—21no—
340#66948C2311yescharacteristic
341#66947—21no—
342#66947—21no—
343#66946—21no—
344#66946C2311yescharacteristic
345#66946C2311yescharacteristic
346#66946C2311yescharacteristic
347#66945—21no—
348#66945—21no—
349#66945D411yescharacteristic
350#66945C2311yescharacteristic
351#66943C2311yescharacteristic
352#66943C2311yescharacteristic
353#66942—21no—
354#66942—21no—
355#66941—21no—
356#66941—21no—
357#66941C2311yescharacteristic
358#66940—21no—
359#66940—21no—
360#66940—21no—
361#66940D411yescharacteristic
362#66940C2311yescharacteristic
363#66940C2311yescharacteristic
364#66940C2311yescharacteristic
365#66940C2311yescharacteristic
366#66940C2311yescharacteristic
367#66940C2311yescharacteristic
368#66939—21no—
369#66938—21no—
370#66938—21no—
371#66938—21no—
372#66938—21no—
373#66938—21no—
374#66938—21no—
375#66938—21no—
376#66938—21no—
377#66938—21no—
378#66937—21no—
379#66936—21no—
380#66936—21no—
381#66936—21no—
382#66936—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385(C22⋊D11)⋊C4—21no—
386(C22⋊D11)⋊C4—21no—
387(C22⋊D11)⋊C4—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4D411yescharacteristic
393(C22⋊D11)⋊C4D411yescharacteristic
394C22⋊C4×D11—21no—
395C22⋊C4×D11—21no—
396C22⋊C4×D11—21no—
397#66932—21no—
398#66932—21no—
399#66932—21no—
400#66932—21no—
401#66932—21no—
402#66932—21no—
403#66931—21no—
404#66931—21no—
405#66931—21no—
406#66930—21no—
407#66930—21no—
408#66930—21no—
409#66930—21no—
410#66930D411yescharacteristic
411#66930D411yescharacteristic
412#66929—21no—
413#66928C2311yescharacteristic
414#66928C2311yescharacteristic
415#66925—21no—
416C42×D11—21no—
417C42×D11C2311yescharacteristic
418C4×Dic22—21no—
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×#107C2311yescharacteristic
424C11×#106C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×C22⋊C8C2311yescharacteristic
437C11×C22⋊C8C2311yescharacteristic
438C4×C8×C11C2311yescharacteristic
439#66899C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443C22⋊(C11⋊C8)C2311yescharacteristic
444C22⋊(C11⋊C8)C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447(C2×D11)⋊C8C2311yescharacteristic
448(C2×D11)⋊C8C2311yescharacteristic
449#66882C2311yescharacteristic
450#66880C2311yescharacteristic
451#66880C2311yescharacteristic
452#66880C2311yescharacteristic
453#66880C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455Dic11⋊C8C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462C8×Dic11C2311yescharacteristic
463C8×Dic11C2311yescharacteristic
464C8×Dic11C2311yescharacteristic
465C8×Dic11C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
468#66874C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66872C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66871C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62006—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—21no—
487C11×#41—41no—
488C11×#41—41no—
489C2×Q8×C11C2411yescharacteristic
490C2×D4×C11—21no—
491C2×D4×C11—21no—
492C2×D4×C11—21no—
493C2×D4×C11—21no—
494C2×D4×C11—21no—
495C2×D4×C11—41no—
496C2×D4×C11—41no—
497C2×D4×C11C2×D411yescharacteristic
498C2×D4×C11C2411yescharacteristic
499C2×D4×C11C2411yescharacteristic
500C2×D4×C11C2411yescharacteristic
501C22×C4×C11—21no—
502C22×C4×C11—21no—
503C22×C4×C11—21no—
504C22×C4×C11—21no—
505C22×C4×C11C2411yescharacteristic
506C22×C4×C11C2411yescharacteristic
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—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—44no—
519C2×C22⋊D11C2×D411yescharacteristic
520C2×C22⋊D11C2×D411yescharacteristic
521C22×Dic11—21no—
522C22×Dic11—21no—
523C22×Dic11—21no—
524C22×Dic11—21no—
525C22×Dic11—21no—
526C22×Dic11C2×D411yescharacteristic
527C22×Dic11C2×D411yescharacteristic
528C22×Dic11C2×D411yescharacteristic
529C22×Dic11C2×D411yescharacteristic
530Q8×D11—41no—
531Q8×D11—41no—
532#4341—22no—
533#4341—41no—
534#4341—42no—
535#4341—44no—
536D4×D11—41no—
537D4×D11—41no—
538#4339—22no—
539#4339—41no—
540#4339—41no—
541#4339—41no—
542C2×D44—21no—
543C2×D44C2411yescharacteristic
544C2×D44C2411yescharacteristic
545C2×C4×D11—21no—
546C2×C4×D11—21no—
547C2×C4×D11—21no—
548C2×C4×D11—21no—
549C2×C4×D11—21no—
550C2×C4×D11—21no—
551C2×C4×D11C2×D411yescharacteristic
552C2×C4×D11C2×D411yescharacteristic
553C2×C4×D11C2411yescharacteristic
554C2×Dic22—22no—
555C2×Dic22—21no—
556C2×Dic22—21no—
557C2×Dic22—21no—
558C2×Dic22—21no—
559C2×Dic22—41no—
560C2×Dic22—41no—
561C2×Dic22—41no—
562C2×Dic22C2×D411yescharacteristic
563C2×Dic22C2411yescharacteristic
564C2×Dic22C2411yescharacteristic
565C2×Dic22C2411yescharacteristic
566C2×Dic22C2411yescharacteristic
567C11×SD16—41no—
568C11×D8—41no—
569C11×D8—41no—
570C11×M16—41no—
571C11×M16—41no—
572C2×C8×C11C2411yescharacteristic
573C2×C8×C11C2411yescharacteristic
574C2×C8×C11C2411yescharacteristic
575C2×C8×C11C2411yescharacteristic
576C11×C4⋊C4—21no—
577C11×C4⋊C4—21no—
578C11×C4⋊C4—21no—
579C11×C4⋊C4—21no—
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—
593C11×C22⋊C4—21no—
594C11×C22⋊C4C2×D411yescharacteristic
595C11×C22⋊C4C2×D411yescharacteristic
596C42×C11—21no—
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⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11C2×D411yescharacteristic
614C22⋊Dic11C2×D411yescharacteristic
615#4326—22no—
616#4326—41no—
617#4325—41no—
618#4324—22no—
619#4324—22no—
620#4324—41no—
621#4324—41no—
622#4324—41no—
623#4324—41no—
624#4323—41no—
625#4323—41no—
626#4323—41no—
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)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
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⋊Dic11C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
668Dic11⋊C4C2×D411yescharacteristic
669Dic11⋊C4C2×D411yescharacteristic
670Dic11⋊C4C2×D411yescharacteristic
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×Dic11—21no—
681C4×Dic11C2×D411yescharacteristic
682C4×Dic11C2×D411yescharacteristic
683C4×Dic11C2×D411yescharacteristic
684C4×Dic11C2×D411yescharacteristic
685C4×Dic11C2×D411yescharacteristic
686C4×Dic11C2×D411yescharacteristic
687C4×Dic11C2411yescharacteristic
688C4×Dic11C2411yescharacteristic
689C4×Dic11C2411yescharacteristic
690#4318—41no—
691#4318—41no—
692C2×C11⋊C8C2411yescharacteristic
693C2×C11⋊C8C2411yescharacteristic
694C2×C11⋊C8C2411yescharacteristic
695C2×C11⋊C8C2411yescharacteristic
696Dic44—22no—
697Dic44—22no—
698Dic44—41no—
699Dic44—41no—
700D88—41no—
701#4314—22no—
702#4314—41no—
703#4314—41no—
704#4314—41no—
705#4313—41no—
706#4313—41no—
707#3514—111no—
708#3480—111no—
709#3396—111no—
710#3394—111no—
711#3365—111no—
712#3364—111no—
713#3328—111no—
714#3326—111no—
715#3326—111no—
716#3324—111no—
717#3322—111no—
718#3322D1111yescharacteristic, complemented
719#3278—111no—
720#3277—111no—
721#3277—111no—
722#3275—111no—
723#3275—111no—
724#3274—111no—
725#3256—111no—
726#3256—111no—
727#3251—111no—
728#3211—111no—
729#3211—111no—
730#3207—111no—
731#3108—111no—
732#3102—111no—
733#3102—111no—
734#3040—111no—
735#3040—111no—
736#3037—111no—
737#2991—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—21no—
741C23×C11—42no—
742C23×C11—81no—
743C23×C11—81no—
744C23×C11C22×D411yescharacteristic
745C23×C11C22×D411yescharacteristic
746C22×D11—21no—
747C22×D11—21no—
748C22×D11—42no—
749C22×D11—81no—
750C22×D11—81no—
751C22×D11C22×D411yescharacteristic
752Q8×C11—21no—
753Q8×C11—21no—
754D4×C11—21no—
755D4×C11—21no—
756D4×C11—21no—
757D4×C11—21no—
758D4×C11—21no—
759D4×C11—21no—
760D4×C11—41no—
761D4×C11—42no—
762D4×C11—81no—
763D4×C11—81no—
764D4×C11—81no—
765D4×C11—81no—
766C2×C4×C11—21no—
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—21no—
775C2×C4×C11—81no—
776C2×C4×C11—81no—
777C2×C4×C11—81no—
778C2×C4×C11—81no—
779C2×C4×C11C22×D411yescharacteristic
780C2×C4×C11C22×D411yescharacteristic
781C2×C4×C11C22×D411yescharacteristic
782C2×C4×C11C22×D411yescharacteristic
783C2×C4×C11C2511yescharacteristic
784C22⋊D11—22no—
785C22⋊D11—41no—
786C22⋊D11—42no—
787C22⋊D11—42no—
788C22⋊D11—42no—
789C22⋊D11—42no—
790C22⋊D11—42no—
791C22⋊D11—42no—
792C22⋊D11—42no—
793C22⋊D11—81no—
794C22⋊D11—81no—
795C22⋊D11—81no—
796C22⋊D11—81no—
797C2×Dic11—21no—
798C2×Dic11—22no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—41no—
805C2×Dic11—41no—
806C2×Dic11—41no—
807C2×Dic11—42no—
808C2×Dic11—42no—
809C2×Dic11—42no—
810C2×Dic11—42no—
811C2×Dic11—81no—
812C2×Dic11C22×D411yescharacteristic
813C2×Dic11C22×D411yescharacteristic
814C2×Dic11C22×D411yescharacteristic
815C2×Dic11C22×D411yescharacteristic
816C2×Dic11C22×D411yescharacteristic
817C2×Dic11C22×D411yescharacteristic
818C2×Dic11C22×D411yescharacteristic
819D44—21no—
820D44—21no—
821D44—21no—
822D44—21no—
823D44—81no—
824C4×D11—21no—
825C4×D11—21no—
826C4×D11—41no—
827C4×D11—41no—
828C4×D11—42no—
829C4×D11—42no—
830C4×D11—81no—
831C4×D11—81no—
832C4×D11—81no—
833C4×D11—81no—
834Dic22—21no—
835Dic22—22no—
836Dic22—21no—
837Dic22—21no—
838Dic22—21no—
839Dic22—21no—
840Dic22—21no—
841Dic22—21no—
842Dic22—42no—
843Dic22—42no—
844Dic22—81no—
845Dic22—81no—
846Dic22H(5,𝔽2)12yes—
847C8×C11—21no—
848C8×C11—21no—
849C8×C11—21no—
850C8×C11—21no—
851C11⋊C8—21no—
852C11⋊C8—21no—
853C11⋊C8—21no—
854C11⋊C8—21no—
855C2×#137—111no—
856C2×#137—111no—
857C2×#137—111no—
858C2×#137—111no—
859C2×AGL(1,ℤ/8)—111no—
860C2×AGL(1,ℤ/8)—111no—
861#559—111no—
862#559—111no—
863#559—221no—
864#557—111no—
865#556—111no—
866#556—111no—
867#556—221no—
868#555—221no—
869#553—111no—
870#553—221no—
871#553—221no—
872#553C2×D1111yescharacteristic, complemented
873#551—221no—
874#551—221no—
875#550—111no—
876D4×Q8—111no—
877#548—111no—
878#548—111no—
879#548—111no—
880#548—111no—
881#546—111no—
882#546—221no—
883#546C2×D1111yescharacteristic
884D42—111no—
885#542—221no—
886#538—221no—
887#538—221no—
888#532—111no—
889#532—111no—
890#532—221no—
891#529—111no—
892#529—111no—
893#529—111no—
894#529—111no—
895#529—111no—
896#529—221no—
897#529—221no—
898C2×#124—111no—
899C2×#124—111no—
900#518—221no—
901C4×#41—111no—
902C4×#41—111no—
903C4×#41—111no—
904C4×#41—221no—
905C2×C4×Q8—111no—
906#495—111no—
907#495—111no—
908#495—111no—
909#495—111no—
910#493—111no—
911#492—111no—
912#488—111no—
913#488—111no—
914#488—111no—
915#488C2×D1111yescharacteristic
916#487—111no—
917#486—111no—
918#485—111no—
919#485C2×D1111yescharacteristic, complemented
920#483—111no—
921#482—111no—
922#482—111no—
923#480C2×D1111yescharacteristic
924#479—111no—
925#479—111no—
926#479—111no—
927#479—111no—
928#478—111no—
929#478—111no—
930#478—111no—
931#478C2×D1111yescharacteristic, complemented
932#475—111no—
933#474—111no—
934#470—111no—
935#470—111no—
936#469—111no—
937#469—111no—
938#469—111no—
939#469C2×D1111yescharacteristic
940#468—111no—
941#468—111no—
942#468—111no—
943#468—111no—
944#468—111no—
945#468C2×D1111yescharacteristic, complemented
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#463—111no—
959#463—111no—
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#463—111no—
966#463—111no—
967#463—111no—
968#463—111no—
969#463C2×D1111yescharacteristic
970#462—111no—
971#462—111no—
972#460—111no—
973#460—111no—
974#460—111no—
975#459—111no—
976#452—111no—
977#452—111no—
978#451—111no—
979#451—111no—
980#451—111no—
981#450—111no—
982#450—111no—
983#449—111no—
984#449—111no—
985#449—111no—
986#449—111no—
987#449—111no—
988#449C2×D1111yescharacteristic, complemented
989#448—111no—
990#448—111no—
991#448—111no—
992#447—111no—
993#447C2×D1111yescharacteristic
994C8×Q8—111no—
995C8×Q8—111no—
996C4×Q16—111no—
997C4×Q16—111no—
998C4×Q16—111no—
999C4×Q16—111no—
1000C4×SD16—111no—
1001C4×SD16—111no—
1002C4×SD16—111no—
1003C4×SD16—111no—
1004C4×SD16—111no—
1005C4×SD16—111no—
1006C4×D8—111no—
1007C4×D8C2×D1111yescharacteristic, complemented
1008#436—111no—
1009#436—111no—
1010#436—111no—
1011#436—111no—
1012#436—111no—
1013#436C2×D1111yescharacteristic, complemented
1014#431—111no—
1015#431—111no—
1016#431—111no—
1017#423—111no—
1018#423—111no—
1019#423—111no—
1020#419—111no—
1021#419—111no—
1022#418—111no—
1023#418C2×D1111yescharacteristic
1024#417—111no—
1025#417C2×D1111yescharacteristic, complemented
1026C22×C11—21no—
1027C22×C11—21no—
1028C22×C11—21no—
1029C22×C11—21no—
1030C22×C11—21no—
1031C22×C11—21no—
1032C22×C11—41no—
1033C22×C11—41no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—162no—
1042C22×C11C23×D411yescharacteristic
1043C2×D11—21no—
1044C2×D11—21no—
1045C2×D11—21no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—162no—
1053C4×C11—21no—
1054C4×C11—21no—
1055C4×C11—21no—
1056C4×C11—21no—
1057C4×C11—41no—
1058C4×C11—41no—
1059C4×C11—41no—
1060C4×C11—41no—
1061C4×C11—41no—
1062C4×C11C2×H(5,𝔽2)11yescharacteristic
1063C4×C11#58511yescharacteristic
1064Dic11—21no—
1065Dic11—21no—
1066Dic11—21no—
1067Dic11—22no—
1068Dic11—21no—
1069Dic11—21no—
1070Dic11—21no—
1071Dic11—41no—
1072Dic11—41no—
1073Dic11—41no—
1074Dic11—41no—
1075Dic11—41no—
1076Dic11#57512yes—
1077C2×#41—111no—
1078C2×#41—111no—
1079C2×#41—111no—
1080C2×#41—111no—
1081C2×#41—221no—
1082C2×#41C22×D1111yescharacteristic
1083C22×Q8—111no—
1084C22×Q8—111no—
1085C22×Q8—111no—
1086C22×D4—111no—
1087C22×D4—221no—
1088C22×D4C22×D1111yescharacteristic
1089#137—442no—
1090#137—442no—
1091#137—442no—
1092#137—442no—
1093AGL(1,ℤ/8)—442no—
1094AGL(1,ℤ/8)—442no—
1095C2×Q16—111no—
1096C2×Q16—111no—
1097C2×Q16—111no—
1098C2×Q16—111no—
1099C2×Q16—111no—
1100C2×Q16—111no—
1101C2×SD16—111no—
1102C2×SD16—111no—
1103C2×SD16—111no—
1104C2×SD16—111no—
1105C2×SD16—111no—
1106C2×SD16—111no—
1107C2×SD16—111no—
1108C2×SD16—111no—
1109C2×SD16—111no—
1110C2×SD16—111no—
1111C2×SD16—111no—
1112C2×SD16C22×D1111yescharacteristic
1113C2×D8—111no—
1114C2×D8—111no—
1115C2×D8—111no—
1116C2×D8—111no—
1117C2×D8C22×D1111yescharacteristic
1118C2×D8C22×D1111yescharacteristic
1119C2×M16—111no—
1120C2×M16—111no—
1121C2×M16—111no—
1122C2×M16—111no—
1123C2×M16C22×D1111yescharacteristic
1124C2×M16C22×D1111yescharacteristic
1125C4⋊Q8—111no—
1126C4⋊Q8—111no—
1127C4⋊Q8—221no—
1128C4⋊Q8—221no—
1129#127—111no—
1130#127—111no—
1131#127—221no—
1132#126—21no—
1133#126—221no—
1134#126—221no—
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#125—111no—
1144#125—111no—
1145#125—221no—
1146#125—221no—
1147#125C22×D1111yescharacteristic
1148#124—111no—
1149#124—111no—
1150#124—111no—
1151#124—111no—
1152#124—111no—
1153#124—111no—
1154#124—111no—
1155#124—111no—
1156#124—221no—
1157#124—221no—
1158#124—221no—
1159#124—221no—
1160#124—221no—
1161#124—221no—
1162#124—221no—
1163#124—221no—
1164#124—221no—
1165#124—221no—
1166#124—221no—
1167#124—221no—
1168#124C22×D1111yescharacteristic
1169#123—21no—
1170#123—21no—
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—
1182C22⋊Q8—111no—
1183C22⋊Q8—111no—
1184C22⋊Q8—111no—
1185C22⋊Q8—111no—
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—21no—
1195#121—21no—
1196#121—111no—
1197#121—111no—
1198#121—111no—
1199#121—111no—
1200#121—221no—
1201#121—221no—
1202#121—221no—
1203#121—221no—
1204#121—221no—
1205#121—221no—
1206#121—221no—
1207#121—221no—
1208#121—221no—
1209#121—221no—
1210#121—221no—
1211#121—221no—
1212#121C22×D1111yescharacteristic
1213#121C22×D1111yescharacteristic
1214#121C22×D1111yescharacteristic
1215#120—21no—
1216#120—221no—
1217#120—221no—
1218#120—221no—
1219C4×Q8—111no—
1220C4×Q8—111no—
1221C4×Q8—111no—
1222C4×Q8—111no—
1223C4×Q8—111no—
1224C4×Q8—111no—
1225C4×Q8—111no—
1226C4×Q8—111no—
1227C4×Q8—111no—
1228C4×Q8—111no—
1229C4×Q8—111no—
1230C4×Q8—221no—
1231C4×Q8—221no—
1232C4×Q8—221no—
1233C4×Q8—221no—
1234C4×D4—21no—
1235C4×D4—111no—
1236C4×D4—111no—
1237C4×D4—111no—
1238C4×D4—111no—
1239C4×D4—111no—
1240C4×D4—111no—
1241C4×D4—111no—
1242C4×D4—111no—
1243C4×D4—111no—
1244C4×D4—111no—
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×D4—221no—
1258C4×D4—221no—
1259C4×D4—221no—
1260C4×D4—221no—
1261C4×D4—221no—
1262C4×D4—221no—
1263C4×D4—221no—
1264C4×D4—221no—
1265C4×D4—221no—
1266C4×D4C22×D1111yescharacteristic
1267C4×D4C22×D1111yescharacteristic
1268C4×D4C22×D1111yescharacteristic
1269#117—111no—
1270#117—111no—
1271#117—111no—
1272#117—111no—
1273#117—221no—
1274#117—221no—
1275#117—221no—
1276#117—221no—
1277#117—221no—
1278#117—221no—
1279#117—221no—
1280#117—221no—
1281#117C22×D1111yescharacteristic
1282C2×C4⋊C4—221no—
1283C2×C4⋊C4C22×D1111yescharacteristic
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—221no—
1286C2×C22⋊C4—221no—
1287C2×C22⋊C4—221no—
1288C2×C22⋊C4—221no—
1289C2×C22⋊C4—221no—
1290C2×C42—111no—
1291C2×C42—111no—
1292C2×C42—111no—
1293C2×C42—221no—
1294C2×C42—221no—
1295C2×C42—221no—
1296#107—111no—
1297#107—111no—
1298#107C22×D1111yescharacteristic
1299#107C22×D1111yescharacteristic
1300#106—111no—
1301#106—111no—
1302#106—111no—
1303#106C22×D1111yescharacteristic
1304C4⋊C8—111no—
1305C4⋊C8—111no—
1306C4⋊C8—111no—
1307C4⋊C8—111no—
1308C4⋊C8—111no—
1309C4⋊C8—111no—
1310C4⋊C8—111no—
1311C4⋊C8—111no—
1312C4⋊C8—111no—
1313C4⋊C8C22×D1111yescharacteristic
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#103—111no—
1324#103—111no—
1325#103—111no—
1326#103—111no—
1327#103C22×D1111yescharacteristic
1328#103C22×D1111yescharacteristic
1329#103C22×D1111yescharacteristic
1330#102—111no—
1331#102—111no—
1332#102—111no—
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102C22×D1111yescharacteristic
1340#102C22×D1111yescharacteristic
1341#102C22×D1111yescharacteristic
1342#102C22×D1111yescharacteristic
1343#102C22×D1111yescharacteristic
1344#102C22×D1111yescharacteristic
1345#102C22×D1111yescharacteristic
1346C22⋊C8—111no—
1347C22⋊C8—111no—
1348C22⋊C8—111no—
1349C22⋊C8—111no—
1350C22⋊C8C22×D1111yescharacteristic
1351C22⋊C8C22×D1111yescharacteristic
1352C4×C8—111no—
1353C4×C8—111no—
1354C4×C8—111no—
1355C4×C8—111no—
1356C4×C8—111no—
1357C4×C8C22×D1111yescharacteristic
1358C2×C11—41no—
1359C2×C11—41no—
1360C2×C11—81no—
1361C2×C11—81no—
1362C2×C11—81no—
1363C2×C11#348811yescharacteristic
1364C2×C11C2×#57511yescharacteristic
1365C2×C11#358411yescharacteristic
1366D11—41no—
1367D11—81no—
1368D11—81no—
1369C24—21no—
1370C24—221no—
1371#41—41no—
1372#41—41no—
1373#41—222no—
1374#41—222no—
1375#41—441no—
1376#41—441no—
1377#41—441no—
1378#41—441no—
1379#41—442no—
1380#41—444no—
1381C2×Q8—111no—
1382C2×Q8—111no—
1383C2×Q8—111no—
1384C2×Q8—111no—
1385C2×Q8—111no—
1386C2×Q8—221no—
1387C2×Q8—221no—
1388C2×Q8—222no—
1389C2×Q8—221no—
1390C2×Q8—221no—
1391C2×Q8—441no—
1392C2×Q8—441no—
1393C2×Q8—441no—
1394C2×Q8—441no—
1395C2×Q8—441no—
1396C2×Q8C23×D1111yescharacteristic
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—111no—
1405C2×D4—111no—
1406C2×D4—111no—
1407C2×D4—111no—
1408C2×D4—221no—
1409C2×D4—221no—
1410C2×D4—221no—
1411C2×D4—221no—
1412C2×D4—221no—
1413C2×D4—221no—
1414C2×D4—221no—
1415C2×D4—221no—
1416C2×D4—221no—
1417C2×D4—221no—
1418C2×D4—221no—
1419C2×D4—221no—
1420C2×D4—441no—
1421C2×D4—441no—
1422C2×D4—444no—
1423C2×D4D4×D1111yescharacteristic
1424C2×D4C23×D1111yescharacteristic
1425C2×D4C23×D1111yescharacteristic
1426C2×D4C23×D1111yescharacteristic
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—111no—
1432C22×C4—111no—
1433C22×C4—111no—
1434C22×C4—111no—
1435C22×C4—111no—
1436C22×C4—111no—
1437C22×C4—111no—
1438C22×C4—221no—
1439C22×C4—221no—
1440C22×C4—221no—
1441C22×C4—221no—
1442C22×C4—221no—
1443C22×C4—221no—
1444C22×C4—221no—
1445C22×C4—221no—
1446C22×C4—221no—
1447C22×C4—221no—
1448C22×C4—221no—
1449C22×C4C23×D1111yescharacteristic
1450C22×C4C23×D1111yescharacteristic
1451Q16—222no—
1452Q16—222no—
1453Q16—222no—
1454Q16—441no—
1455Q16—441no—
1456Q16—441no—
1457SD16—41no—
1458SD16—222no—
1459SD16—222no—
1460SD16—222no—
1461SD16—441no—
1462SD16—441no—
1463SD16—441no—
1464SD16—441no—
1465SD16—441no—
1466SD16—441no—
1467SD16—441no—
1468SD16—441no—
1469D8—41no—
1470D8—41no—
1471D8—441no—
1472D8—441no—
1473D8—441no—
1474D8—441no—
1475M16—41no—
1476M16—41no—
1477M16—441no—
1478M16—441no—
1479M16—441no—
1480M16—441no—
1481C2×C8—111no—
1482C2×C8—111no—
1483C2×C8—111no—
1484C2×C8—111no—
1485C2×C8C23×D1111yescharacteristic
1486C2×C8C23×D1111yescharacteristic
1487C2×C8C23×D1111yescharacteristic
1488C2×C8C23×D1111yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—111no—
1494C4⋊C4—111no—
1495C4⋊C4—111no—
1496C4⋊C4—111no—
1497C4⋊C4—111no—
1498C4⋊C4—111no—
1499C4⋊C4—111no—
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⋊C4C23×D1111yescharacteristic
1522C4⋊C4C23×D1111yescharacteristic
1523C4⋊C4C23×D1111yescharacteristic
1524C4⋊C4C23×D1111yescharacteristic
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
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—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4D4×D1111yescharacteristic
1569C22⋊C4D4×D1111yescharacteristic
1570C42—21no—
1571C42—111no—
1572C42—111no—
1573C42—111no—
1574C42—111no—
1575C42—111no—
1576C42—111no—
1577C42—111no—
1578C42—111no—
1579C42—111no—
1580C42—221no—
1581C42—221no—
1582C42—221no—
1583C42—221no—
1584C42—221no—
1585C42—221no—
1586C42—221no—
1587C42—221no—
1588C42—221no—
1589C42—221no—
1590C42C23×D1111yescharacteristic
1591C11#6200611yescharacteristic, complemented, Sylow
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—42no—
1596C23—81no—
1597C23—81no—
1598C23—111no—
1599C23—221no—
1600C23—221no—
1601C23—442no—
1602C23—881no—
1603C23—881no—
1604C23C2×D4×D1111yescharacteristic
1605C23C2×D4×D1111yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—112no—
1609Q8—222no—
1610Q8—221no—
1611Q8—221no—
1612Q8—221no—
1613Q8—221no—
1614Q8—221no—
1615Q8—221no—
1616Q8—221no—
1617Q8—442no—
1618Q8—442no—
1619Q8—881no—
1620Q8—881no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—41no—
1628D4—42no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—222no—
1634D4—221no—
1635D4—221no—
1636D4—221no—
1637D4—221no—
1638D4—442no—
1639D4—442no—
1640D4—441no—
1641D4—442no—
1642D4—442no—
1643D4—442no—
1644D4—442no—
1645D4—442no—
1646D4—881no—
1647D4—881no—
1648D4—881no—
1649D4—881no—
1650D4—881no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—111no—
1665C2×C4—111no—
1666C2×C4—111no—
1667C2×C4—111no—
1668C2×C4—111no—
1669C2×C4—111no—
1670C2×C4—111no—
1671C2×C4—222no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—441no—
1681C2×C4—441no—
1682C2×C4—442no—
1683C2×C4—442no—
1684C2×C4—442no—
1685C2×C4—441no—
1686C2×C4—441no—
1687C2×C4—441no—
1688C2×C4—442no—
1689C2×C4—442no—
1690C2×C4—442no—
1691C2×C4—881no—
1692C2×C4—881no—
1693C2×C4—881no—
1694C2×C4—881no—
1695C2×C4—881no—
1696C2×C4C2×D4×D1111yescharacteristic
1697C2×C4C2×D4×D1111yescharacteristic
1698C2×C4C2×D4×D1111yescharacteristic
1699C2×C4C2×D4×D1111yescharacteristic
1700C2×C4C24×D1111yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—221no—
1706C8—221no—
1707C8—221no—
1708C8—221no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—162no—
1725C22—221no—
1726C22—221no—
1727C22—221no—
1728C22—441no—
1729C22—441no—
1730C22—441no—
1731C22—441no—
1732C22—441no—
1733C22—441no—
1734C22—1762no—
1735C22C22×D4×D1111yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—112no—
1746C4—221no—
1747C4—222no—
1748C4—221no—
1749C4—221no—
1750C4—221no—
1751C4—221no—
1752C4—221no—
1753C4—441no—
1754C4—441no—
1755C4—441no—
1756C4—441no—
1757C4—441no—
1758C4#1062345311yescharacteristic
1759C4D11×H(5,𝔽2)11yescharacteristic
1760C2—41no—
1761C2—41no—
1762C2—81no—
1763C2—81no—
1764C2—81no—
1765C2—441no—
1766C2—881no—
1767C2—881no—
1768C2#1308227911yescharacteristic
1769C2D11×#57511yescharacteristic
1770C2#1308338411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3322C2
socleC22×C11C23×D4
hypercenter#3322D11
hypocenterC11#62006
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #13082574C2semidirect
2. #13082210C2semidirect
3. #13081628C2semidirect
4. #13081615C2semidirect
5. #13081315C2semidirect
6. #13081298C2semidirect
7. #13080897C2semidirect
8. #13080870C2semidirect
9. #13080863C2semidirect
10. #13080843C2semidirect
11. #13080820C2semidirect
12. #13080279C2semidirect
13. #13080274C2semidirect
14. #13080266C2semidirect
15. #13080254C2semidirect
16. #13080243C2semidirect
17. #13080234C2semidirect
18. #13080016C2semidirect
19. #13080013C2semidirect
20. #13079971C2semidirect
21. #13079582C2semidirect
22. #13079578C2semidirect
23. #13079547C2semidirect
24. #13078693C2semidirect
25. #13078637C2semidirect
26. #13078630C2semidirect
27. #13078109C2semidirect
28. #13078105C2semidirect
29. #13078087C2semidirect
30. #13077744C2semidirect
31. C11×#3322C2semidirect
32. C11×#553C22semidirect
36. C2×#67004C22semidirect
40. C2×#66968C22semidirect
42. C2×#66962C22semidirect
43. C2×#66962C22semidirect
46. #10623222C22semidirect
47. #10623216C22semidirect
61. #10623131C22semidirect
63. #10623129C22semidirect
65. #10623127C22semidirect
69. #10623090C22semidirect
72. #10623083C22semidirect
76. C4×#4341C22semidirect
78. #10623053C22semidirect
79. #10623045C22semidirect
80. C2×#66940C22semidirect
84. C11×#485C22semidirect
86. C11×#478C22semidirect
88. C11×#468C22semidirect
90. C11×#449C22semidirect
92. C4×C11×D8C22semidirect
93. C11×#436C22semidirect
95. C11×#417C22semidirect
96. #10622851C22semidirect
98. #10622788C22semidirect
99. #10622779C22semidirect
100. #10622778C22semidirect
103. #10622768C22semidirect
105. #10622766C22semidirect
109. #10622747C22semidirect
111. #10622741C22semidirect
112. #10622731C22semidirect
113. #10622731C22semidirect
114. #10622681C22semidirect
115. #10622676C22semidirect
118. #10622665C22semidirect
119. #10622660C22semidirect
120. #10622655C22semidirect
122. #10622653C22semidirect
125. #10622650C22semidirect
126. C4×#4324C22semidirect
127. C4×#4324C22semidirect
128. #10622629C22semidirect
129. #10622629C22semidirect
130. #10622625C22semidirect
131. #10622617C22semidirect
133. #10622584C22semidirect
134. #10622579C22semidirect
135. #10622504C22semidirect
136. #10622501C22semidirect
137. #10622499C22semidirect
138. #10622490C22semidirect
139. #10622490C22semidirect
140. #10622486C22semidirect
141. #10622486C22semidirect
142. #10622485C22semidirect
143. #10622484C22semidirect
144. #10622481C22semidirect
145. #10622467C22semidirect
146. #10622465C22semidirect
147. #10622458C22semidirect
148. #10622458C22semidirect
149. #10622450C22semidirect
150. #10622443C22semidirect
151. #10622432C22semidirect
152. #10622421C22semidirect
153. #10622419C22semidirect
154. #10622415C22semidirect
155. #10622411C22semidirect
156. #10622411C22semidirect
157. #10622409C22semidirect
158. #10622406C22semidirect
159. #10622406C22semidirect
160. #10622405C22semidirect
161. #10622403C22semidirect
162. #10622401C22semidirect
165. #10622400C22semidirect
166. #10622400C22semidirect
167. #10622400C22semidirect
169. #10622396C22semidirect
176. #10622381C22semidirect
180. #10622380C22semidirect
181. #10622380C22semidirect
182. #10622380C22semidirect
183. #10622379C22semidirect
186. #10622375C22semidirect
191. #10622352C22semidirect
192. #10622352C22semidirect
194. #10622347C22semidirect
196. #10622342C22semidirect
197. #10622331C22semidirect
198. #10622331C22semidirect
199. C4×Dic44C22semidirect
200. #10622309C22semidirect
201. #10622298C22semidirect
202. C8×Dic22C22semidirect
718. #3322D11semidirect
872. #553C2×D11semidirect
919. #485C2×D11semidirect
931. #478C2×D11semidirect
945. #468C2×D11semidirect
988. #449C2×D11semidirect
1007. C4×D8C2×D11semidirect
1013. #436C2×D11semidirect
1025. #417C2×D11semidirect
1591. C11#62006semidirect

Maximal subgroups

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

subgroupindex
#130825742
#130822102
#130816282
#130816152
#130813152
#130812982
#130808972
#130808702
#130808632
#130808432
#130808202
#130802792
#130802742
#130802662
#130802542
#130802432
#130802342
#130800162
#130800132
#130799712
#130795822
#130795782
#130795472
#130786932
#130786372
#130786302
#130781092
#130781052
#130780872
#130777442
C11×#33222
#6200611