Finite Group Databasebeta

← #15622453

Subgroups — #15622453

Order 2816.

2060 conjugacy classes of subgroups.

The subgroup lattice has 1748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082037C211yesmaximal, characteristic, complemented
2C4×#67040C211yesmaximal, characteristic, complemented
3#13078909C211yesmaximal, characteristic, complemented
4#13078901C211yesmaximal, characteristic, complemented
5#13078881C211yesmaximal, characteristic, complemented
6#13078877C211yesmaximal, characteristic, complemented
7#13078846C211yesmaximal, characteristic, complemented
8#13078842C211yesmaximal, characteristic, complemented
9#13078822C211yesmaximal, characteristic, complemented
10#13078810C211yesmaximal, characteristic, complemented
11#13078791C211yesmaximal, characteristic, complemented
12#13078768C211yesmaximal, characteristic, complemented
13#13078765C211yesmaximal, characteristic, complemented
14#13078738C211yesmaximal, characteristic, complemented
15#13078736C211yesmaximal, characteristic, complemented
16#13078731C211yesmaximal, characteristic, complemented
17#13078719C211yesmaximal, characteristic, complemented
18#13078595C211yesmaximal, characteristic, complemented
19#13078573C211yesmaximal, characteristic, complemented
20#13078470C211yesmaximal, characteristic, complemented
21#13078455C211yesmaximal, characteristic, complemented
22#13078158C211yesmaximal, characteristic, complemented
23#13078135C211yesmaximal, characteristic, complemented
24#13077932C211yesmaximal, characteristic, complemented
25#13077897C211yesmaximal, characteristic, complemented
26#13077432C211yesmaximal, characteristic, complemented
27#13077421C211yesmaximal, characteristic, complemented
28#13077415C211yesmaximal, characteristic, complemented
29D11×#440C211yesmaximal, characteristic, complemented
30#13077262C211yesmaximal, characteristic, complemented
31C11×#3117C211yesmaximal, characteristic, complemented
32C2×#67040C2211yescharacteristic
33C11×#529C2211yescharacteristic
34C2×C4×Q8×C11C2211yescharacteristic, complemented
35#10623343C2211yescharacteristic, complemented
36C2×#66972C2211yescharacteristic
37C2×#66971C2211yescharacteristic
38C2×#66967C2211yescharacteristic
39C2×SD16×D11C2211yescharacteristic
40#10623241—21no—
41#10623235—21no—
42#10623229C2211yescharacteristic
43#10623220C2211yescharacteristic
44#10623213C2211yescharacteristic
45#10623205C2211yescharacteristic
46#10623194—21no—
47#10623188—21no—
48#10623174C2211yescharacteristic
49#10623160C2211yescharacteristic
50#10623150C2211yescharacteristic
51#10623138C2211yescharacteristic
52#10623111C2211yescharacteristic
53#10623105—21no—
54#10623105C2211yescharacteristic
55#10623105C2211yescharacteristic, complemented
56C4×#4343—21no—
57C4×#4343C2211yescharacteristic
58C4×#4343C2211yescharacteristic
59C4×#4343C2211yescharacteristic, complemented
60#10623103—21no—
61#10623103C2211yescharacteristic
62#10623103C2211yescharacteristic, complemented
63C4×Q8×D11—21no—
64C4×Q8×D11C2211yescharacteristic
65C4×Q8×D11C2211yescharacteristic, complemented
66#10623079—21no—
67#10623079C2211yescharacteristic
68#10623078—21no—
69C4×D4×D11C2211yescharacteristic
70#10623059—21no—
71#10623055—21no—
72#10623035—21no—
73#10623035—21no—
74#10623035C2211yescharacteristic
75#10623035C2211yescharacteristic, complemented
76#10623008C2211yescharacteristic
77C4×#4339—21no—
78C4×#4339—21no—
79C4×#4339C2211yescharacteristic
80C4×#4339C2211yescharacteristic, complemented
81C11×#484C2211yescharacteristic, complemented
82C11×#481C2211yescharacteristic
83C11×#479C2211yescharacteristic, complemented
84C11×#479C2211yescharacteristic, complemented
85C11×#464C2211yescharacteristic
86C11×#464C2211yescharacteristic
87C11×#451C2211yescharacteristic, complemented
88C11×#448C2211yescharacteristic
89C11×#441C2211yescharacteristic, complemented
90C11×#441C2211yescharacteristic, complemented
91C11×#440C2211yescharacteristic
92C11×#440C2211yescharacteristic
93C11×#432C2211yescharacteristic, complemented
94#10622840C2211yescharacteristic
95#10622840C2211yescharacteristic, complemented
96#10622800C2211yescharacteristic, complemented
97#10622799C2211yescharacteristic, complemented
98#10622798C2211yescharacteristic
99#10622798C2211yescharacteristic
100#10622797C2211yescharacteristic, complemented
101Q16×Dic11C2211yescharacteristic, complemented
102#10622785C2211yescharacteristic
103#10622783C2211yescharacteristic
104#10622777C2211yescharacteristic
105#10622776C2211yescharacteristic
106#10622776C2211yescharacteristic
107SD16×Dic11C2211yescharacteristic
108#10622679C2211yescharacteristic, complemented
109#10622676C2211yescharacteristic, complemented
110#10622670C2211yescharacteristic
111#10622667C2211yescharacteristic
112#10622660C2211yescharacteristic, complemented
113#10622658C2211yescharacteristic, complemented
114#10622650C2211yescharacteristic
115#10622648C2211yescharacteristic
116#10622643C2211yescharacteristic, complemented
117#10622640C2211yescharacteristic
118#10622640C2211yescharacteristic
119#10622639C2211yescharacteristic
120#10622639C2211yescharacteristic
121#10622639C2211yescharacteristic, complemented
122#10622639C2211yescharacteristic, complemented
123#10622639C2211yescharacteristic, complemented
124#10622634C2211yescharacteristic, complemented
125#10622634C2211yescharacteristic, complemented
126#10622631C2211yescharacteristic
127#10622627C2211yescharacteristic
128#10622580C2211yescharacteristic
129#10622580C2211yescharacteristic, complemented
130#10622539C2211yescharacteristic, complemented
131#10622503C2211yescharacteristic, complemented
132#10622502C2211yescharacteristic
133#10622498C2211yescharacteristic, complemented
134#10622495C2211yescharacteristic, complemented
135#10622494C2211yescharacteristic
136D11×#107C2211yescharacteristic
137#10622488C2211yescharacteristic, complemented
138#10622485C2211yescharacteristic
139#10622484C2211yescharacteristic, complemented
140#10622482C2211yescharacteristic, complemented
141#10622479C2211yescharacteristic
142#10622476C2211yescharacteristic
143#10622474C2211yescharacteristic
144#10622473C2211yescharacteristic
145#10622470C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622464C2211yescharacteristic, complemented
148#10622461C2211yescharacteristic
149#10622459C2211yescharacteristic, complemented
150#10622456C2211yescharacteristic
151#10622453C2211yescharacteristic, complemented
152#10622453C2211yescharacteristic, complemented
153#10622452C2211yescharacteristic
154#10622452C2211yescharacteristic
155#10622432C2211yescharacteristic
156#10622430C2211yescharacteristic
157#10622430C2211yescharacteristic, complemented
158#10622430C2211yescharacteristic, complemented
159#10622428C2211yescharacteristic, complemented
160#10622424C2211yescharacteristic
161#10622424C2211yescharacteristic, complemented
162#10622422C2211yescharacteristic, complemented
163#10622419C2211yescharacteristic
164#10622419C2211yescharacteristic, complemented
165#10622417C2211yescharacteristic
166#10622417C2211yescharacteristic
167#10622416C2211yescharacteristic
168#10622416C2211yescharacteristic
169#10622415C2211yescharacteristic
170D11×#103C2211yescharacteristic
171#10622412C2211yescharacteristic, complemented
172#10622411C2211yescharacteristic
173#10622409C2211yescharacteristic, complemented
174#10622407C2211yescharacteristic, complemented
175#10622404C2211yescharacteristic, complemented
176#10622403C2211yescharacteristic, complemented
177#10622401C2211yescharacteristic
178#10622401C2211yescharacteristic, complemented
179#10622399C2211yescharacteristic
180#10622392C2211yescharacteristic
181#10622387C2211yescharacteristic
182#10622383C2211yescharacteristic
183D11×#102C2211yescharacteristic
184#10622375C2211yescharacteristic
185#10622370C2211yescharacteristic
186#10622369C2211yescharacteristic
187#10622350C2211yescharacteristic
188#10622350C2211yescharacteristic, complemented
189#10622347C2211yescharacteristic
190#10622347C2211yescharacteristic, complemented
191#10622340C2211yescharacteristic
192#10622340C2211yescharacteristic
193#10622333C2211yescharacteristic, complemented
194#10622333C2211yescharacteristic, complemented
195#10622324C2211yescharacteristic
196#10622324C2211yescharacteristic, complemented
197#10622323C2211yescharacteristic
198#10622323C2211yescharacteristic, complemented
199#10622320C2211yescharacteristic
200#10622318C2211yescharacteristic, complemented
201#10622318C2211yescharacteristic, complemented
202D11×#97C2211yescharacteristic
203C22×Q8×C11C2311yescharacteristic
204#67040—24no—
205#67040—24no—
206C2×#4343—21no—
207C2×#4343C2311yescharacteristic
208C2×#4343C2311yescharacteristic
209C2×#4343C2311yescharacteristic
210C2×Q8×D11—21no—
211C2×Q8×D11C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×D4×D11C2311yescharacteristic
214C2×#4339—21no—
215C2×#4339—21no—
216C2×#4339—21no—
217C2×#4339—21no—
218C2×#4339C2311yescharacteristic
219C2×#4339C2311yescharacteristic
220C22×C4×D11—21no—
221C2×C11×Q16C2311yescharacteristic
222C2×C11×Q16C2311yescharacteristic
223C2×C11×SD16C2311yescharacteristic
224C2×C11×SD16C2311yescharacteristic
225C11×#126—21no—
226C11×#125C2311yescharacteristic
227C11×#124C2311yescharacteristic
228C11×#123—21no—
229C11×C22⋊Q8C2311yescharacteristic
230C11×#121C2311yescharacteristic
231C4×Q8×C11—21no—
232C4×Q8×C11—21no—
233C4×Q8×C11C2311yescharacteristic
234C4×Q8×C11C2311yescharacteristic
235C4×Q8×C11C2311yescharacteristic
236C4×Q8×C11C2311yescharacteristic
237C4×Q8×C11C2311yescharacteristic
238C4×D4×C11—21no—
239C4×D4×C11C2311yescharacteristic
240C11×#117—21no—
241C2×C11×C4⋊C4—21no—
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C42×C11—21no—
244C2×C42×C11C2311yescharacteristic
245#67000C2311yescharacteristic
246#66999C2311yescharacteristic
247Q8×Dic11—21no—
248Q8×Dic11—21no—
249Q8×Dic11C2311yescharacteristic
250Q8×Dic11C2311yescharacteristic
251Q8×Dic11C2311yescharacteristic
252Q8×Dic11C2311yescharacteristic
253Q8×Dic11C2311yescharacteristic
254C2×#4326C2311yescharacteristic
255C2×#4325C2311yescharacteristic
256C2×#4325C2311yescharacteristic
257C2×#4325C2311yescharacteristic
258C2×#4325C2311yescharacteristic
259C2×#4325C2311yescharacteristic
260#66993—21no—
261#66993C2311yescharacteristic
262#66992—21no—
263#66991—21no—
264#66991C2311yescharacteristic
265#66990—21no—
266D4×Dic11C2311yescharacteristic
267C2×#4324C2311yescharacteristic
268C2×#4323C2311yescharacteristic
269#66983—21no—
270#66983C2311yescharacteristic
271#66983C2311yescharacteristic
272C4×C22⋊D11—21no—
273C4×C22⋊D11—21no—
274C4×C22⋊D11—21no—
275C4×C22⋊D11—21no—
276C4×C22⋊D11—21no—
277C4×C22⋊D11—21no—
278C4×C22⋊D11—21no—
279C4×C22⋊D11—21no—
280C4×C22⋊D11D411yescharacteristic
281C4×C22⋊D11D411yescharacteristic
282C4×C22⋊D11D411yescharacteristic
283C4×C22⋊D11D411yescharacteristic
284#66979—21no—
285#66979—21no—
286#66979C2311yescharacteristic
287#66979C2311yescharacteristic
288#66972—24no—
289#66971—24no—
290#66967—24no—
291SD16×D11—24no—
292C2×D88C2311yescharacteristic
293C2×D88C2311yescharacteristic
294C2×#4314C2311yescharacteristic
295C2×#4314C2311yescharacteristic
296C2×#4313C2311yescharacteristic
297C2×#4313C2311yescharacteristic
298C2×C8×D11C2311yescharacteristic
299C2×C8×D11C2311yescharacteristic
300#66951—21no—
301#66951—21no—
302#66950—21no—
303#66950—21no—
304#66949—21no—
305#66949—21no—
306#66948—21no—
307#66948—21no—
308#66948—21no—
309#66948C2311yescharacteristic
310#66948C2311yescharacteristic
311#66947—21no—
312#66947—21no—
313#66947—21no—
314#66946—21no—
315#66946—21no—
316#66946—21no—
317#66946—21no—
318#66946—21no—
319#66946—21no—
320#66946C2311yescharacteristic
321#66946C2311yescharacteristic
322#66946C2311yescharacteristic
323#66946C2311yescharacteristic
324#66945—21no—
325#66945—21no—
326#66945—21no—
327#66945—21no—
328#66945—21no—
329#66945—21no—
330#66945C2311yescharacteristic
331#66945C2311yescharacteristic
332#66945C2311yescharacteristic
333C4⋊C4×D11—21no—
334C4⋊C4×D11—21no—
335C4⋊C4×D11—21no—
336C4⋊C4×D11—21no—
337C4⋊C4×D11—21no—
338C4⋊C4×D11C2311yescharacteristic
339C4⋊C4×D11C2311yescharacteristic
340C4⋊C4×D11C2311yescharacteristic
341#66943C2311yescharacteristic
342#66942—21no—
343#66941—21no—
344#66941C2311yescharacteristic
345#66940—21no—
346#66940—21no—
347#66940—21no—
348#66940—21no—
349#66940—21no—
350#66940C2311yescharacteristic
351#66940C2311yescharacteristic
352#66939—21no—
353#66939—21no—
354#66938—21no—
355#66938—21no—
356#66938—21no—
357#66938—21no—
358#66937—21no—
359#66937—21no—
360#66937—21no—
361#66937—21no—
362#66937—21no—
363#66936—21no—
364#66936—21no—
365#66935—21no—
366#66935—21no—
367#66935—21no—
368(C22⋊D11)⋊C4—21no—
369C22⋊C4×D11—21no—
370#66932—21no—
371#66931—21no—
372#66928—21no—
373#66927C2311yescharacteristic
374C4×D44—21no—
375C4×D44—21no—
376C4×D44—21no—
377C4×D44—21no—
378C4×D44—21no—
379C4×D44—21no—
380C4×D44—21no—
381C4×D44D411yescharacteristic
382C4×D44D411yescharacteristic
383C4×D44C2311yescharacteristic
384C4×D44C2311yescharacteristic
385C4×D44C2311yescharacteristic
386C4×D44C2311yescharacteristic
387#66925—21no—
388#66925—21no—
389#66925—21no—
390#66925—21no—
391#66925—21no—
392#66925—21no—
393#66925C2311yescharacteristic
394#66925C2311yescharacteristic
395C42×D11—21no—
396C42×D11—21no—
397C42×D11—21no—
398C42×D11—21no—
399C42×D11—21no—
400C42×D11—21no—
401C42×D11C2311yescharacteristic
402C42×D11C2311yescharacteristic
403#66922C2311yescharacteristic
404C4×Dic22—21no—
405C4×Dic22—21no—
406C4×Dic22—21no—
407C4×Dic22—21no—
408C4×Dic22D411yescharacteristic
409C4×Dic22D411yescharacteristic
410C4×Dic22C2311yescharacteristic
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×#102C2311yescharacteristic
425C11×#102C2311yescharacteristic
426C11×C22⋊C8C2311yescharacteristic
427C11×C22⋊C8C2311yescharacteristic
428C11×#97C2311yescharacteristic
429C11×#97C2311yescharacteristic
430#66899C2311yescharacteristic
431#66899C2311yescharacteristic
432#66899C2311yescharacteristic
433#66899C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
436#66896C2311yescharacteristic
437#66896C2311yescharacteristic
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#66871C2311yescharacteristic
475#66871C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482#66867C2311yescharacteristic
483#66867C2311yescharacteristic
484#60576—111nomaximal, Sylow
485C23×D11—21no—
486C2×Q8×C11—22no—
487C2×Q8×C11—22no—
488C2×Q8×C11—21no—
489C2×Q8×C11C2411yescharacteristic
490C2×Q8×C11C2411yescharacteristic
491C2×Q8×C11C2411yescharacteristic
492C2×D4×C11—21no—
493C2×D4×C11C2411yescharacteristic
494C22×C4×C11—21no—
495C22×C4×C11—21no—
496C22×C4×C11—21no—
497C22×C4×C11C2×D411yescharacteristic
498C22×C4×C11C2×D411yescharacteristic
499C22×C4×C11C2411yescharacteristic
500C2×C22⋊D11—21no—
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11C2×D411yescharacteristic
508C2×C22⋊D11C2×D411yescharacteristic
509C22×Dic11—21no—
510#4343—28no—
511#4343—22no—
512#4343—22no—
513#4343—22no—
514#4343—22no—
515#4343—22no—
516#4343#4114yescomplemented
517Q8×D11—28no—
518Q8×D11—22no—
519Q8×D11—22no—
520Q8×D11—22no—
521Q8×D11#4114yescomplemented
522D4×D11—22no—
523D4×D11—22no—
524#4339—28no—
525#4339—28no—
526#4339—22no—
527#4339—22no—
528#4339—22no—
529#4339—22no—
530#4339—82no—
531#4339—82no—
532C2×D44—21no—
533C2×D44—21no—
534C2×D44—21no—
535C2×D44—21no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44—21no—
539C2×D44C2×D411yescharacteristic
540C2×D44C2411yescharacteristic
541C2×D44C2411yescharacteristic
542C2×D44C2411yescharacteristic
543C2×C4×D11—21no—
544C2×C4×D11—21no—
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×D11—21no—
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—82no—
561C2×C4×D11C2×D411yescharacteristic
562C2×C4×D11C2×D411yescharacteristic
563C2×C4×D11C2×D411yescharacteristic
564C2×C4×D11C2×D411yescharacteristic
565C2×C4×D11C2411yescharacteristic
566C2×C4×D11C2411yescharacteristic
567C2×Dic22—21no—
568C2×Dic22—21no—
569C2×Dic22—21no—
570C2×Dic22—21no—
571C2×Dic22C2×D411yescharacteristic
572C2×Dic22C2411yescharacteristic
573C11×Q16—22no—
574C11×Q16—22no—
575C11×SD16—22no—
576C11×SD16—22no—
577C2×C8×C11C2411yescharacteristic
578C2×C8×C11C2411yescharacteristic
579C2×C8×C11C2411yescharacteristic
580C2×C8×C11C2411yescharacteristic
581C11×C4⋊C4—21no—
582C11×C4⋊C4—21no—
583C11×C4⋊C4—21no—
584C11×C4⋊C4—21no—
585C11×C4⋊C4—21no—
586C11×C4⋊C4—21no—
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4—21no—
590C11×C4⋊C4C2411yescharacteristic
591C11×C4⋊C4C2411yescharacteristic
592C11×C4⋊C4C2411yescharacteristic
593C11×C4⋊C4C2411yescharacteristic
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C11×C22⋊C4—21no—
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C42×C11—21no—
600C42×C11—21no—
601C42×C11—21no—
602C42×C11—21no—
603C42×C11—21no—
604C42×C11C2×D411yescharacteristic
605C42×C11C2×D411yescharacteristic
606C42×C11C2411yescharacteristic
607C42×C11C2411yescharacteristic
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11C2×D411yescharacteristic
612C22⋊Dic11C2×D411yescharacteristic
613#4326—22no—
614#4325—22no—
615#4325—22no—
616#4325—22no—
617#4325—22no—
618#4325—22no—
619#4324—22no—
620#4323—22no—
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)⋊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)⋊C4C2×D411yescharacteristic
640(C2×D11)⋊C4C2×D411yescharacteristic
641(C2×D11)⋊C4C2×D411yescharacteristic
642(C2×D11)⋊C4C2×D411yescharacteristic
643C4⋊Dic11—21no—
644C4⋊Dic11—21no—
645C4⋊Dic11—21no—
646C4⋊Dic11—21no—
647C4⋊Dic11—21no—
648C4⋊Dic11—21no—
649C4⋊Dic11—21no—
650C4⋊Dic11C2×D411yescharacteristic
651C4⋊Dic11C2×D411yescharacteristic
652C4⋊Dic11C2411yescharacteristic
653C4⋊Dic11C2411yescharacteristic
654C4⋊Dic11C2411yescharacteristic
655C4⋊Dic11C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
667Dic11⋊C4C2×D411yescharacteristic
668Dic11⋊C4C2×D411yescharacteristic
669Dic11⋊C4C2×D411yescharacteristic
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×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11C2×D411yescharacteristic
684C4×Dic11C2×D411yescharacteristic
685C4×Dic11C2×D411yescharacteristic
686C4×Dic11C2×D411yescharacteristic
687C4×Dic11C2411yescharacteristic
688C4×Dic11C2411yescharacteristic
689C2×C11⋊C8C2411yescharacteristic
690C2×C11⋊C8C2411yescharacteristic
691C2×C11⋊C8C2411yescharacteristic
692C2×C11⋊C8C2411yescharacteristic
693D88—22no—
694D88—22no—
695#4314—22no—
696#4314—22no—
697#4313—22no—
698#4313—22no—
699C8×D11—22no—
700C8×D11—22no—
701#3460—111no—
702C4×2−1+4—111no—
703#3126—111no—
704#3126—111no—
705#3124—111no—
706#3124—111no—
707#3121—111no—
708#3121—111no—
709#3119—111no—
710#3119—111no—
711#3117—111no—
712#3117D1111yescharacteristic, complemented
713#3115—111no—
714#3115—111no—
715#3112—111no—
716#3112—111no—
717#3111—111no—
718#3111—111no—
719#3098—111no—
720#3096—111no—
721#3083—111no—
722#3082—111no—
723#3045—111no—
724#3043—111no—
725#3013—111no—
726#3010—111no—
727C4×#137—111no—
728C4×AGL(1,ℤ/8)—111no—
729#2943—111no—
730C2×#440—111no—
731#2923—111no—
732C23×C11—21no—
733C23×C11C22×D411yescharacteristic
734C22×D11—21no—
735C22×D11—21no—
736C22×D11—21no—
737C22×D11—42no—
738C22×D11—81no—
739C22×D11—81no—
740C22×D11C22×D411yescharacteristic
741C22×D11C22×D411yescharacteristic
742Q8×C11—24no—
743Q8×C11—21no—
744Q8×C11—21no—
745Q8×C11—21no—
746Q8×C11—21no—
747Q8×C11C2×#4112yes—
748Q8×C11C2×#4112yes—
749D4×C11—21no—
750D4×C11—21no—
751D4×C11—81no—
752C2×C4×C11—24no—
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×C11—21no—
762C2×C4×C11—41no—
763C2×C4×C11—41no—
764C2×C4×C11—42no—
765C2×C4×C11—81no—
766C2×C4×C11C22×D411yescharacteristic
767C2×C4×C11C22×D411yescharacteristic
768C2×C4×C11C22×D411yescharacteristic
769C2×C4×C11C22×D411yescharacteristic
770C2×C4×C11C22×D411yescharacteristic
771C2×C4×C11C2511yescharacteristic
772C22⋊D11—24no—
773C22⋊D11—22no—
774C22⋊D11—22no—
775C22⋊D11—42no—
776C22⋊D11—81no—
777C22⋊D11—81no—
778C22⋊D11—81no—
779C22⋊D11—81no—
780C22⋊D11—81no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—81no—
787C2×Dic11C22×D411yescharacteristic
788C2×Dic11C22×D411yescharacteristic
789C2×Dic11C22×D411yescharacteristic
790C2×Dic11C22×D411yescharacteristic
791C2×Dic11C22×D411yescharacteristic
792C2×Dic11C22×D411yescharacteristic
793D44—24no—
794D44—24no—
795D44—22no—
796D44—21no—
797D44—21no—
798D44—21no—
799D44—21no—
800D44—21no—
801D44—42no—
802D44—81no—
803D44—81no—
804D44—81no—
805D44—81no—
806D44C2×#4112yes—
807C4×D11—24no—
808C4×D11—24no—
809C4×D11—24no—
810C4×D11—24no—
811C4×D11—21no—
812C4×D11—21no—
813C4×D11—24no—
814C4×D11—41no—
815C4×D11—41no—
816C4×D11—41no—
817C4×D11—41no—
818C4×D11—42no—
819C4×D11—42no—
820C4×D11—42no—
821C4×D11—42no—
822C4×D11—81no—
823C4×D11—81no—
824C4×D11—81no—
825C4×D11—81no—
826C4×D11—81no—
827C4×D11—81no—
828C4×D11—81no—
829C4×D11—81no—
830C4×D11C2×#4112yes—
831C4×D11C2×#4112yes—
832Dic22—24no—
833Dic22—21no—
834Dic22—24no—
835Dic22—22no—
836Dic22—81no—
837Dic22—81no—
838Dic22C2×#4112yes—
839C8×C11—21no—
840C8×C11—21no—
841C8×C11—21no—
842C8×C11—21no—
843C11⋊C8—21no—
844C11⋊C8—21no—
845C11⋊C8—21no—
846C11⋊C8—21no—
847C2×2−1+4—111no—
848C2×#137—111no—
849C2×AGL(1,ℤ/8)—111no—
850C2×#135—111no—
851C22×SD16—111no—
852#544—111no—
853#542—111no—
854#542—111no—
855#542—221no—
856#540—111no—
857#540—111no—
858#540—221no—
859#538—221no—
860#538—221no—
861#537—111no—
862#535—111no—
863#535—111no—
864#532—111no—
865#532—111no—
866#532—221no—
867#529—111no—
868#529—221no—
869#529C2×D1111yescharacteristic
870#525—221no—
871#525—221no—
872#520—111no—
873#520—111no—
874#520—111no—
875#520—111no—
876#520—221no—
877#520—221no—
878#520—221no—
879#519—111no—
880#519—111no—
881#519—111no—
882#519—221no—
883C4×#41—111no—
884C4×#41—111no—
885C4×#41—111no—
886C4×#41—111no—
887C4×#41—111no—
888C4×#41—221no—
889C4×#41—221no—
890C4×#41—221no—
891C2×C4×Q8—111no—
892C2×C4×Q8—111no—
893C2×C4×Q8—221no—
894C2×C4×Q8C2×D1111yescharacteristic, complemented
895C2×C4×D4—111no—
896#485—111no—
897#485—111no—
898#484—111no—
899#484C2×D1111yescharacteristic, complemented
900#482—111no—
901#482—111no—
902#482—111no—
903#482—111no—
904#482—111no—
905#482—111no—
906#481—111no—
907#481C2×D1111yescharacteristic
908#480—111no—
909#480—111no—
910#480—111no—
911#480—111no—
912#479—111no—
913#479—111no—
914#479—111no—
915#479—111no—
916#479C2×D1111yescharacteristic, complemented
917#479C2×D1111yescharacteristic, complemented
918#478—111no—
919#478—111no—
920#477—111no—
921#477—111no—
922#477—111no—
923#477—111no—
924#475—111no—
925#475—111no—
926#474—111no—
927#474—111no—
928#464—111no—
929#464—111no—
930#464—111no—
931#464—111no—
932#464C2×D1111yescharacteristic
933#464C2×D1111yescharacteristic
934#463—111no—
935#463—111no—
936#460—111no—
937#460—111no—
938#460—111no—
939#460—111no—
940#460—111no—
941#460—111no—
942#459—111no—
943#459—111no—
944#452—111no—
945#452—111no—
946#451—111no—
947#451C2×D1111yescharacteristic, complemented
948#449—111no—
949#449—111no—
950#449—111no—
951#449—111no—
952#449—111no—
953#449—111no—
954#448—111no—
955#448—111no—
956#448—111no—
957#448—111no—
958#448—111no—
959#448C2×D1111yescharacteristic
960#442—111no—
961#442—111no—
962#442—111no—
963#442—111no—
964#441—111no—
965#441—111no—
966#441C2×D1111yescharacteristic, complemented
967#441C2×D1111yescharacteristic, complemented
968#440—111no—
969#440—111no—
970#440—111no—
971#440—111no—
972#440—111no—
973#440—111no—
974#440—111no—
975#440—111no—
976#440—111no—
977#440—111no—
978#440—111no—
979#440—111no—
980#440—111no—
981#440—111no—
982#440C2×D1111yescharacteristic
983#440C2×D1111yescharacteristic
984C4×Q16—111no—
985C4×Q16—111no—
986C4×SD16—111no—
987C4×SD16—111no—
988C4×SD16—111no—
989C4×SD16—111no—
990C4×D8—111no—
991C4×D8—111no—
992#433—111no—
993#433—111no—
994#433—111no—
995#433—111no—
996#432—111no—
997#432—111no—
998#432—111no—
999#432C2×D1111yescharacteristic, complemented
1000#428—111no—
1001#428—111no—
1002#427—111no—
1003C2×#107—111no—
1004#424—111no—
1005#424—111no—
1006#419—111no—
1007#418—111no—
1008#417—111no—
1009#417—111no—
1010#416—111no—
1011#416—111no—
1012C2×#103—111no—
1013C2×#102—111no—
1014#408—111no—
1015#408—111no—
1016C4×M16—111no—
1017C2×#97—111no—
1018C22×C11—21no—
1019C22×C11—21no—
1020C22×C11—21no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11C23×D411yescharacteristic
1025C2×D11—21no—
1026C2×D11—21no—
1027C2×D11—21no—
1028C2×D11—21no—
1029C2×D11—22no—
1030C2×D11—21no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—84no—
1040C2×D11#52512yes—
1041C4×C11—21no—
1042C4×C11—21no—
1043C4×C11—21no—
1044C4×C11—21no—
1045C4×C11—22no—
1046C4×C11—22no—
1047C4×C11—21no—
1048C4×C11—41no—
1049C4×C11—41no—
1050C4×C11—41no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11C22×#4111yescharacteristic
1054C4×C11C22×#4111yescharacteristic
1055Dic11—21no—
1056Dic11—21no—
1057Dic11—21no—
1058Dic11—21no—
1059Dic11—21no—
1060Dic11—22no—
1061Dic11—41no—
1062Dic11—41no—
1063Dic11—41no—
1064Dic11—41no—
1065Dic11#52512yes—
10662−1+4—224no—
10672−1+4—224no—
1068C2×#41—111no—
1069C2×#41—111no—
1070C2×#41—111no—
1071C2×#41—111no—
1072C2×#41—111no—
1073C2×#41—221no—
1074C2×#41—221no—
1075C2×#41—221no—
1076C2×#41—221no—
1077C2×#41—221no—
1078C22×Q8—111no—
1079C22×Q8—111no—
1080C22×Q8—221no—
1081C22×Q8C22×D1111yescharacteristic
1082C22×D4—111no—
1083C23×C4—221no—
1084#137—224no—
1085AGL(1,ℤ/8)—224no—
1086#135—224no—
1087C2×Q16—111no—
1088C2×Q16C22×D1111yescharacteristic
1089C2×Q16C22×D1111yescharacteristic
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—224no—
1099C2×SD16C22×D1111yescharacteristic
1100C2×SD16C22×D1111yescharacteristic
1101C2×D8—111no—
1102C2×D8—111no—
1103C2×D8—111no—
1104C2×M16—111no—
1105C2×M16—111no—
1106C22×C8—111no—
1107C22×C8—111no—
1108C4⋊Q8—111no—
1109C4⋊Q8—111no—
1110C4⋊Q8—221no—
1111#127—111no—
1112#127—111no—
1113#127—221no—
1114#126—21no—
1115#126—221no—
1116#126—221no—
1117#126—221no—
1118#125—111no—
1119#125—221no—
1120#125C22×D1111yescharacteristic
1121#124—111no—
1122#124—221no—
1123#124—221no—
1124#124—221no—
1125#124—221no—
1126#124—221no—
1127#124C22×D1111yescharacteristic
1128#123—21no—
1129#123—221no—
1130#123—221no—
1131#123—221no—
1132#123—221no—
1133#123—221no—
1134#123—221no—
1135#123—221no—
1136C22⋊Q8—111no—
1137C22⋊Q8—221no—
1138C22⋊Q8—221no—
1139C22⋊Q8—221no—
1140C22⋊Q8—221no—
1141C22⋊Q8—221no—
1142C22⋊Q8C22×D1111yescharacteristic
1143#121—111no—
1144#121—111no—
1145#121—111no—
1146#121—111no—
1147#121—111no—
1148#121—221no—
1149#121—221no—
1150#121—221no—
1151#121—221no—
1152#121—221no—
1153#121—221no—
1154#121—221no—
1155#121—221no—
1156#121—221no—
1157#121—221no—
1158#121—221no—
1159#121C22×D1111yescharacteristic
1160#120—221no—
1161#120—221no—
1162#120—221no—
1163#120—221no—
1164C4×Q8—21no—
1165C4×Q8—21no—
1166C4×Q8—111no—
1167C4×Q8—111no—
1168C4×Q8—111no—
1169C4×Q8—111no—
1170C4×Q8—111no—
1171C4×Q8—111no—
1172C4×Q8—111no—
1173C4×Q8—111no—
1174C4×Q8—111no—
1175C4×Q8—111no—
1176C4×Q8—111no—
1177C4×Q8—221no—
1178C4×Q8—221no—
1179C4×Q8—221no—
1180C4×Q8—221no—
1181C4×Q8—221no—
1182C4×Q8—221no—
1183C4×Q8—221no—
1184C4×Q8—221no—
1185C4×Q8—221no—
1186C4×Q8—221no—
1187C4×Q8—221no—
1188C4×Q8C22×D1111yescharacteristic
1189C4×Q8C22×D1111yescharacteristic
1190C4×Q8C22×D1111yescharacteristic
1191C4×Q8C22×D1111yescharacteristic
1192C4×Q8C22×D1111yescharacteristic
1193C4×D4—21no—
1194C4×D4—111no—
1195C4×D4—111no—
1196C4×D4—111no—
1197C4×D4—111no—
1198C4×D4—111no—
1199C4×D4—111no—
1200C4×D4—111no—
1201C4×D4—111no—
1202C4×D4—111no—
1203C4×D4—111no—
1204C4×D4—111no—
1205C4×D4—111no—
1206C4×D4—111no—
1207C4×D4—111no—
1208C4×D4—111no—
1209C4×D4—221no—
1210C4×D4—221no—
1211C4×D4—221no—
1212C4×D4—221no—
1213C4×D4—221no—
1214C4×D4—221no—
1215C4×D4—221no—
1216C4×D4—221no—
1217C4×D4—221no—
1218C4×D4—221no—
1219C4×D4—221no—
1220C4×D4—221no—
1221C4×D4—221no—
1222C4×D4—221no—
1223C4×D4—221no—
1224C4×D4—221no—
1225C4×D4—221no—
1226C4×D4—221no—
1227C4×D4—221no—
1228C4×D4—221no—
1229C4×D4—221no—
1230C4×D4—221no—
1231C4×D4C22×D1111yescharacteristic
1232#117—21no—
1233#117—111no—
1234#117—111no—
1235#117—111no—
1236#117—111no—
1237#117—111no—
1238#117—111no—
1239#117—111no—
1240#117—221no—
1241#117—221no—
1242#117—221no—
1243#117—221no—
1244#117—221no—
1245#117—221no—
1246#117—221no—
1247#117—221no—
1248#117—221no—
1249#117—221no—
1250#117—221no—
1251#117—221no—
1252#117—221no—
1253#117—221no—
1254C2×C4⋊C4—21no—
1255C2×C4⋊C4—111no—
1256C2×C4⋊C4—111no—
1257C2×C4⋊C4—111no—
1258C2×C4⋊C4—221no—
1259C2×C4⋊C4—221no—
1260C2×C4⋊C4—221no—
1261C2×C4⋊C4—221no—
1262C2×C4⋊C4—221no—
1263C2×C4⋊C4C22×D1111yescharacteristic
1264C2×C22⋊C4—221no—
1265C2×C42—21no—
1266C2×C42—111no—
1267C2×C42—111no—
1268C2×C42—221no—
1269C2×C42—221no—
1270C2×C42—221no—
1271C2×C42—221no—
1272C2×C42—221no—
1273C2×C42—221no—
1274C2×C42C22×D1111yescharacteristic
1275#107—111no—
1276#107—111no—
1277#107—111no—
1278#107—111no—
1279#107—111no—
1280#107—111no—
1281#107—111no—
1282#107—111no—
1283#107C22×D1111yescharacteristic
1284#107C22×D1111yescharacteristic
1285#106—111no—
1286#106—111no—
1287#106—111no—
1288#106—111no—
1289#106C22×D1111yescharacteristic
1290#106C22×D1111yescharacteristic
1291C4⋊C8—111no—
1292C4⋊C8—111no—
1293C4⋊C8—111no—
1294C4⋊C8—111no—
1295C4⋊C8—111no—
1296C4⋊C8—111no—
1297C4⋊C8C22×D1111yescharacteristic
1298C4⋊C8C22×D1111yescharacteristic
1299#103—111no—
1300#103—111no—
1301#103—111no—
1302#103—111no—
1303#103—111no—
1304#103—111no—
1305#103—111no—
1306#103—111no—
1307#103—111no—
1308#103—111no—
1309#103C22×D1111yescharacteristic
1310#103C22×D1111yescharacteristic
1311#103C22×D1111yescharacteristic
1312#103C22×D1111yescharacteristic
1313#103C22×D1111yescharacteristic
1314#103C22×D1111yescharacteristic
1315#102—111no—
1316#102—111no—
1317#102—111no—
1318#102—111no—
1319#102—111no—
1320#102—111no—
1321#102—111no—
1322#102—111no—
1323#102—111no—
1324#102—111no—
1325#102—111no—
1326#102—111no—
1327#102—111no—
1328#102—111no—
1329#102C22×D1111yescharacteristic
1330#102C22×D1111yescharacteristic
1331C22⋊C8—111no—
1332C22⋊C8—111no—
1333C22⋊C8—111no—
1334C22⋊C8—111no—
1335C22⋊C8—111no—
1336C22⋊C8—111no—
1337C22⋊C8C22×D1111yescharacteristic
1338C22⋊C8C22×D1111yescharacteristic
1339#97—111no—
1340#97—111no—
1341#97—111no—
1342#97—111no—
1343#97C22×D1111yescharacteristic
1344#97C22×D1111yescharacteristic
1345C4×C8—111no—
1346C4×C8—111no—
1347C2×C11—41no—
1348C2×C11—81no—
1349C2×C11C2×#52511yescharacteristic
1350C2×C11#358511yescharacteristic
1351C2×C11#358611yescharacteristic
1352D11—22no—
1353D11—41no—
1354D11—42no—
1355D11—81no—
1356D11—81no—
1357C24—221no—
1358#41—114no—
1359#41—222no—
1360#41—222no—
1361#41—222no—
1362#41—222no—
1363#41—228no—
1364#41—228no—
1365#41—222no—
1366#41—222no—
1367#41—222no—
1368#41—222no—
1369#41—228no—
1370#41—222no—
1371#41—882no—
1372#41—882no—
1373C2×Q8—22no—
1374C2×Q8—22no—
1375C2×Q8—21no—
1376C2×Q8—111no—
1377C2×Q8—114no—
1378C2×Q8—111no—
1379C2×Q8—221no—
1380C2×Q8—221no—
1381C2×Q8—221no—
1382C2×Q8—222no—
1383C2×Q8—222no—
1384C2×Q8—228no—
1385C2×Q8—222no—
1386C2×Q8—221no—
1387C2×Q8C23×D1111yescharacteristic
1388C2×Q8C23×D1111yescharacteristic
1389C2×Q8C23×D1111yescharacteristic
1390C2×D4—21no—
1391C2×D4—111no—
1392C2×D4—111no—
1393C2×D4—111no—
1394C2×D4—111no—
1395C2×D4—111no—
1396C2×D4—111no—
1397C2×D4—221no—
1398C2×D4—221no—
1399C2×D4—221no—
1400C2×D4—221no—
1401C2×D4—221no—
1402C2×D4—222no—
1403C2×D4—222no—
1404C2×D4—221no—
1405C2×D4—221no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—221no—
1410C2×D4—221no—
1411C2×D4—221no—
1412C2×D4—221no—
1413C2×D4C23×D1111yescharacteristic
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—111no—
1418C22×C4—111no—
1419C22×C4—111no—
1420C22×C4—111no—
1421C22×C4—111no—
1422C22×C4—111no—
1423C22×C4—221no—
1424C22×C4—221no—
1425C22×C4—221no—
1426C22×C4—221no—
1427C22×C4—221no—
1428C22×C4—221no—
1429C22×C4—221no—
1430C22×C4—221no—
1431C22×C4—221no—
1432C22×C4—221no—
1433C22×C4—221no—
1434C22×C4—221no—
1435C22×C4—221no—
1436C22×C4—221no—
1437C22×C4—221no—
1438C22×C4—221no—
1439C22×C4—221no—
1440C22×C4—221no—
1441C22×C4—882no—
1442C22×C4D4×D1111yescharacteristic
1443C22×C4D4×D1111yescharacteristic
1444C22×C4C23×D1111yescharacteristic
1445Q16—22no—
1446Q16—22no—
1447Q16—222no—
1448SD16—22no—
1449SD16—22no—
1450SD16—222no—
1451SD16—222no—
1452SD16—222no—
1453SD16—222no—
1454SD16—222no—
1455SD16—222no—
1456SD16—222no—
1457SD16—222no—
1458D8—222no—
1459D8—222no—
1460D8—222no—
1461M16—222no—
1462M16—222no—
1463C2×C8—111no—
1464C2×C8—111no—
1465C2×C8—111no—
1466C2×C8—111no—
1467C2×C8—222no—
1468C2×C8—222no—
1469C2×C8C23×D1111yescharacteristic
1470C2×C8C23×D1111yescharacteristic
1471C2×C8C23×D1111yescharacteristic
1472C2×C8C23×D1111yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—111no—
1483C4⋊C4—111no—
1484C4⋊C4—111no—
1485C4⋊C4—111no—
1486C4⋊C4—111no—
1487C4⋊C4—111no—
1488C4⋊C4—111no—
1489C4⋊C4—111no—
1490C4⋊C4—111no—
1491C4⋊C4—111no—
1492C4⋊C4—221no—
1493C4⋊C4—221no—
1494C4⋊C4—221no—
1495C4⋊C4—221no—
1496C4⋊C4—221no—
1497C4⋊C4—221no—
1498C4⋊C4—221no—
1499C4⋊C4—221no—
1500C4⋊C4—221no—
1501C4⋊C4—221no—
1502C4⋊C4—221no—
1503C4⋊C4—221no—
1504C4⋊C4—221no—
1505C4⋊C4—221no—
1506C4⋊C4—221no—
1507C4⋊C4—221no—
1508C4⋊C4—221no—
1509C4⋊C4C23×D1111yescharacteristic
1510C4⋊C4C23×D1111yescharacteristic
1511C4⋊C4C23×D1111yescharacteristic
1512C4⋊C4C23×D1111yescharacteristic
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—111no—
1519C22⋊C4—111no—
1520C22⋊C4—111no—
1521C22⋊C4—111no—
1522C22⋊C4—111no—
1523C22⋊C4—111no—
1524C22⋊C4—221no—
1525C22⋊C4—221no—
1526C22⋊C4—221no—
1527C22⋊C4—221no—
1528C22⋊C4—221no—
1529C22⋊C4—221no—
1530C22⋊C4—221no—
1531C22⋊C4—221no—
1532C22⋊C4—221no—
1533C22⋊C4—221no—
1534C22⋊C4—221no—
1535C22⋊C4—221no—
1536C22⋊C4—221no—
1537C22⋊C4—221no—
1538C22⋊C4—221no—
1539C22⋊C4—221no—
1540C22⋊C4—221no—
1541C22⋊C4—221no—
1542C22⋊C4—221no—
1543C22⋊C4—221no—
1544C22⋊C4—221no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—111no—
1551C42—111no—
1552C42—111no—
1553C42—111no—
1554C42—111no—
1555C42—111no—
1556C42—221no—
1557C42—221no—
1558C42—221no—
1559C42—221no—
1560C42—221no—
1561C42—221no—
1562C42—221no—
1563C42—221no—
1564C42—221no—
1565C42—221no—
1566C42—221no—
1567C42—221no—
1568C42—221no—
1569C42D4×D1111yescharacteristic
1570C42D4×D1111yescharacteristic
1571C42C23×D1111yescharacteristic
1572C42C23×D1111yescharacteristic
1573C11#6057611yescharacteristic, complemented, Sylow
1574C23—21no—
1575C23—111no—
1576C23—111no—
1577C23—221no—
1578C23—221no—
1579C23—221no—
1580C23—442no—
1581C23—881no—
1582C23—881no—
1583C23C2×D4×D1111yescharacteristic
1584Q8—24no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—112no—
1590Q8—224no—
1591Q8—222no—
1592Q8—224no—
1593Q8—221no—
1594Q8—881no—
1595Q8—881no—
1596Q8#41×D1112yes—
1597Q8#41×D1112yes—
1598D4—21no—
1599D4—21no—
1600D4—81no—
1601D4—112no—
1602D4—222no—
1603D4—224no—
1604D4—224no—
1605D4—222no—
1606D4—222no—
1607D4—224no—
1608D4—221no—
1609D4—221no—
1610D4—221no—
1611D4—221no—
1612D4—221no—
1613D4—442no—
1614D4—442no—
1615D4—881no—
1616D4—881no—
1617D4—881no—
1618D4—881no—
1619D4—881no—
1620D4—881no—
1621D4—881no—
1622D4—881no—
1623D4—881no—
1624C2×C4—24no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—42no—
1637C2×C4—81no—
1638C2×C4—111no—
1639C2×C4—112no—
1640C2×C4—112no—
1641C2×C4—111no—
1642C2×C4—111no—
1643C2×C4—111no—
1644C2×C4—111no—
1645C2×C4—111no—
1646C2×C4—224no—
1647C2×C4—224no—
1648C2×C4—224no—
1649C2×C4—224no—
1650C2×C4—224no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—441no—
1659C2×C4—441no—
1660C2×C4—441no—
1661C2×C4—441no—
1662C2×C4—442no—
1663C2×C4—442no—
1664C2×C4—442no—
1665C2×C4—442no—
1666C2×C4—881no—
1667C2×C4—881no—
1668C2×C4—881no—
1669C2×C4—881no—
1670C2×C4—881no—
1671C2×C4—881no—
1672C2×C4—881no—
1673C2×C4—881no—
1674C2×C4—881no—
1675C2×C4C2×D4×D1111yescharacteristic
1676C2×C4C2×D4×D1111yescharacteristic
1677C2×C4C2×D4×D1111yescharacteristic
1678C2×C4C2×D4×D1111yescharacteristic
1679C2×C4C2×D4×D1111yescharacteristic
1680C2×C4C24×D1111yescharacteristic
1681C8—21no—
1682C8—21no—
1683C8—21no—
1684C8—21no—
1685C8—221no—
1686C8—221no—
1687C8—221no—
1688C8—221no—
1689C22—21no—
1690C22—21no—
1691C22—21no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—112no—
1696C22—221no—
1697C22—221no—
1698C22—221no—
1699C22—221no—
1700C22—222no—
1701C22—221no—
1702C22—441no—
1703C22—441no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—884no—
1711C22C22×D4×D1111yescharacteristic
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—22no—
1717C4—22no—
1718C4—21no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—112no—
1725C4—221no—
1726C4—221no—
1727C4—221no—
1728C4—221no—
1729C4—221no—
1730C4—222no—
1731C4—441no—
1732C4—441no—
1733C4—441no—
1734C4—441no—
1735C4C2×#41×D1111yescharacteristic
1736C4C2×#41×D1111yescharacteristic
1737C2—41no—
1738C2—81no—
1739C2—222no—
1740C2—441no—
1741C2—442no—
1742C2—881no—
1743C2—881no—
1744C2D11×#52511yescharacteristic
1745C2#1308339311yescharacteristic
1746C2#1308339911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3117C2
socleC22×C11C23×D4
hypercenter#3117D11
hypocenterC11#60576
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3117

Complements

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

NH ≅ G/Ntype
1. #13082037C2semidirect
2. C4×#67040C2semidirect
3. #13078909C2semidirect
4. #13078901C2semidirect
5. #13078881C2semidirect
6. #13078877C2semidirect
7. #13078846C2semidirect
8. #13078842C2semidirect
9. #13078822C2semidirect
10. #13078810C2semidirect
11. #13078791C2semidirect
12. #13078768C2semidirect
13. #13078765C2semidirect
14. #13078738C2semidirect
15. #13078736C2semidirect
16. #13078731C2semidirect
17. #13078719C2semidirect
18. #13078595C2semidirect
19. #13078573C2semidirect
20. #13078470C2semidirect
21. #13078455C2semidirect
22. #13078158C2semidirect
23. #13078135C2semidirect
24. #13077932C2semidirect
25. #13077897C2semidirect
26. #13077432C2semidirect
27. #13077421C2semidirect
28. #13077415C2semidirect
29. D11×#440C2semidirect
30. #13077262C2semidirect
31. C11×#3117C2semidirect
34. C2×C4×Q8×C11C22semidirect
35. #10623343C22semidirect
55. #10623105C22semidirect
59. C4×#4343C22semidirect
62. #10623103C22semidirect
65. C4×Q8×D11C22semidirect
75. #10623035C22semidirect
80. C4×#4339C22semidirect
81. C11×#484C22semidirect
83. C11×#479C22semidirect
84. C11×#479C22semidirect
87. C11×#451C22semidirect
89. C11×#441C22semidirect
90. C11×#441C22semidirect
93. C11×#432C22semidirect
95. #10622840C22semidirect
96. #10622800C22semidirect
97. #10622799C22semidirect
100. #10622797C22semidirect
101. Q16×Dic11C22semidirect
108. #10622679C22semidirect
109. #10622676C22semidirect
112. #10622660C22semidirect
113. #10622658C22semidirect
116. #10622643C22semidirect
121. #10622639C22semidirect
122. #10622639C22semidirect
123. #10622639C22semidirect
124. #10622634C22semidirect
125. #10622634C22semidirect
129. #10622580C22semidirect
130. #10622539C22semidirect
131. #10622503C22semidirect
133. #10622498C22semidirect
134. #10622495C22semidirect
137. #10622488C22semidirect
139. #10622484C22semidirect
140. #10622482C22semidirect
145. #10622470C22semidirect
146. #10622465C22semidirect
147. #10622464C22semidirect
149. #10622459C22semidirect
151. #10622453C22semidirect
152. #10622453C22semidirect
157. #10622430C22semidirect
158. #10622430C22semidirect
159. #10622428C22semidirect
161. #10622424C22semidirect
162. #10622422C22semidirect
164. #10622419C22semidirect
171. #10622412C22semidirect
173. #10622409C22semidirect
174. #10622407C22semidirect
175. #10622404C22semidirect
176. #10622403C22semidirect
178. #10622401C22semidirect
188. #10622350C22semidirect
190. #10622347C22semidirect
193. #10622333C22semidirect
194. #10622333C22semidirect
196. #10622324C22semidirect
198. #10622323C22semidirect
200. #10622318C22semidirect
201. #10622318C22semidirect
516. #4343#41semidirect
521. Q8×D11#41semidirect
712. #3117D11semidirect
894. C2×C4×Q8C2×D11semidirect
899. #484C2×D11semidirect
916. #479C2×D11semidirect
917. #479C2×D11semidirect
947. #451C2×D11semidirect
966. #441C2×D11semidirect
967. #441C2×D11semidirect
999. #432C2×D11semidirect
1573. C11#60576semidirect

Maximal subgroups

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

subgroupindex
#130820372
C4×#670402
#130789092
#130789012
#130788812
#130788772
#130788462
#130788422
#130788222
#130788102
#130787912
#130787682
#130787652
#130787382
#130787362
#130787312
#130787192
#130785952
#130785732
#130784702
#130784552
#130781582
#130781352
#130779322
#130778972
#130774322
#130774212
#130774152
D11×#4402
#130772622
C11×#31172
#6057611