Finite Group Databasebeta

← #15640368

Subgroups — #15640368

Order 2816.

2032 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082909C211yesmaximal, characteristic, complemented
2#13082288C211yesmaximal, characteristic, complemented
3#13080933C211yesmaximal, characteristic, complemented
4#13080900C211yesmaximal, characteristic, complemented
5#13080871C211yesmaximal, characteristic, complemented
6#13080834C211yesmaximal, characteristic, complemented
7#13080729C211yesmaximal, characteristic, complemented
8#13080669C211yesmaximal, characteristic, complemented
9#13080654C211yesmaximal, characteristic, complemented
10#13080594C211yesmaximal, characteristic, complemented
11#13080274C211yesmaximal, characteristic, complemented
12#13080264C211yesmaximal, characteristic, complemented
13#13080264C211yesmaximal, characteristic, complemented
14#13080252C211yesmaximal, characteristic, complemented
15#13080191C211yesmaximal, characteristic, complemented
16#13080191C211yesmaximal, characteristic, complemented
17#13080176C211yesmaximal, characteristic, complemented
18#13080146C211yesmaximal, characteristic, complemented
19#13079727C211yesmaximal, characteristic, complemented
20#13079701C211yesmaximal, characteristic, complemented
21#13079528C211yesmaximal, characteristic, complemented
22#13079500C211yesmaximal, characteristic, complemented
23#13079448C211yesmaximal, characteristic, complemented
24#13079440C211yesmaximal, characteristic, complemented
25#13078895C211yesmaximal, characteristic, complemented
26#13078832C211yesmaximal, characteristic, complemented
27#13077934C211yesmaximal, characteristic, complemented
28#13077913C211yesmaximal, characteristic, complemented
29#13077878C211yesmaximal, characteristic, complemented
30#13077861C211yesmaximal, characteristic, complemented
31C11×#2978C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C11×#525C2211yescharacteristic
35#10623364C2211yescharacteristic
36#10623364C2211yescharacteristic, complemented
37#10623356C2211yescharacteristic, complemented
38#10623322C2211yescharacteristic
39C2×#66977C2211yescharacteristic
40C2×#66977C2211yescharacteristic
41C2×#66962C2211yescharacteristic
42C2×#66962C2211yescharacteristic
43C2×#66962C2211yescharacteristic
44C2×#66962C2211yescharacteristic, complemented
45C2×#66962C2211yescharacteristic, complemented
46C2×#66961C2211yescharacteristic
47C22×Dic44C2211yescharacteristic, complemented
48C2×#66957C2211yescharacteristic, complemented
49#10623193—21no—
50#10623191—21no—
51#10623186—21no—
52#10623186—21no—
53#10623177—21no—
54#10623167—21no—
55#10623159—21no—
56D11×C22⋊Q8—21no—
57#10623152—21no—
58#10623139—21no—
59#10623137—21no—
60#10623132—21no—
61#10623124—21no—
62#10623124—21no—
63#10623122—21no—
64#10623122—21no—
65#10623096C2211yescharacteristic, complemented
66#10623083C2211yescharacteristic
67#10623083C2211yescharacteristic
68#10623083C2211yescharacteristic
69#10623083C2211yescharacteristic, complemented
70#10623082C2211yescharacteristic
71#10623082C2211yescharacteristic
72#10623082C2211yescharacteristic
73#10623081C2211yescharacteristic
74#10623081C2211yescharacteristic
75#10623074C2211yescharacteristic, complemented
76#10623073C2211yescharacteristic
77#10623072C2211yescharacteristic
78D4×Dic22C2211yescharacteristic
79D4×Dic22C2211yescharacteristic
80D4×Dic22C2211yescharacteristic, complemented
81#10623065C2211yescharacteristic, complemented
82#10623057C2211yescharacteristic
83#10623054C2211yescharacteristic
84#10623049C2211yescharacteristic, complemented
85C11×#436C2211yescharacteristic
86C11×#436C2211yescharacteristic
87C11×#436C2211yescharacteristic, complemented
88C11×#436C2211yescharacteristic, complemented
89C11×#435C2211yescharacteristic
90C11×#435C2211yescharacteristic
91C11×#435C2211yescharacteristic, complemented
92C11×#435C2211yescharacteristic, complemented
93C11×#433C2211yescharacteristic, complemented
94C11×#433C2211yescharacteristic, complemented
95C11×#408C2211yescharacteristic, complemented
96C11×#408C2211yescharacteristic, complemented
97C11×#407C2211yescharacteristic
98C11×#407C2211yescharacteristic
99#10622750C2211yescharacteristic
100#10622750C2211yescharacteristic
101#10622750C2211yescharacteristic
102#10622750C2211yescharacteristic
103#10622750C2211yescharacteristic, complemented
104#10622750C2211yescharacteristic, complemented
105#10622750C2211yescharacteristic, complemented
106#10622750C2211yescharacteristic, complemented
107#10622748C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622747C2211yescharacteristic, complemented
110#10622747C2211yescharacteristic, complemented
111#10622746C2211yescharacteristic
112#10622746C2211yescharacteristic
113#10622746C2211yescharacteristic, complemented
114#10622744C2211yescharacteristic
115#10622733C2211yescharacteristic
116#10622733C2211yescharacteristic, complemented
117#10622729C2211yescharacteristic, complemented
118#10622727C2211yescharacteristic, complemented
119#10622727C2211yescharacteristic, complemented
120#10622727C2211yescharacteristic, complemented
121#10622726C2211yescharacteristic, complemented
122C2×#66880C2211yescharacteristic, complemented
123#10622464C2211yescharacteristic, complemented
124#10622462C2211yescharacteristic, complemented
125#10622462C2211yescharacteristic, complemented
126#10622462C2211yescharacteristic, complemented
127#10622462C2211yescharacteristic, complemented
128#10622460C2211yescharacteristic, complemented
129#10622458C2211yescharacteristic, complemented
130#10622458C2211yescharacteristic, complemented
131#10622458C2211yescharacteristic, complemented
132#10622458C2211yescharacteristic, complemented
133#10622457C2211yescharacteristic, complemented
134#10622457C2211yescharacteristic, complemented
135#10622455C2211yescharacteristic, complemented
136#10622454C2211yescharacteristic, complemented
137#10622454C2211yescharacteristic, complemented
138#10622442C2211yescharacteristic, complemented
139#10622352C2211yescharacteristic
140#10622352C2211yescharacteristic
141#10622352C2211yescharacteristic, complemented
142#10622352C2211yescharacteristic, complemented
143#10622352C2211yescharacteristic, complemented
144#10622352C2211yescharacteristic, complemented
145#10622352C2211yescharacteristic, complemented
146#10622352C2211yescharacteristic, complemented
147#10622352C2211yescharacteristic, complemented
148#10622352C2211yescharacteristic, complemented
149#10622352C2211yescharacteristic, complemented
150#10622351C2211yescharacteristic, complemented
151#10622351C2211yescharacteristic, complemented
152#10622351C2211yescharacteristic, complemented
153#10622350C2211yescharacteristic, complemented
154#10622348C2211yescharacteristic, complemented
155#10622348C2211yescharacteristic, complemented
156#10622347C2211yescharacteristic
157#10622347C2211yescharacteristic
158#10622347C2211yescharacteristic
159#10622347C2211yescharacteristic
160#10622347C2211yescharacteristic, complemented
161#10622347C2211yescharacteristic, complemented
162#10622346C2211yescharacteristic
163#10622346C2211yescharacteristic
164#10622346C2211yescharacteristic
165#10622346C2211yescharacteristic
166#10622346C2211yescharacteristic
167#10622346C2211yescharacteristic
168#10622346C2211yescharacteristic
169#10622346C2211yescharacteristic
170#10622346C2211yescharacteristic
171#10622346C2211yescharacteristic
172#10622346C2211yescharacteristic, complemented
173#10622346C2211yescharacteristic, complemented
174#10622346C2211yescharacteristic, complemented
175#10622346C2211yescharacteristic, complemented
176#10622344C2211yescharacteristic
177#10622344C2211yescharacteristic
178#10622336C2211yescharacteristic
179#10622336C2211yescharacteristic
180#10622336C2211yescharacteristic, complemented
181#10622335C2211yescharacteristic, complemented
182#10622334C2211yescharacteristic, complemented
183#10622334C2211yescharacteristic, complemented
184#10622334C2211yescharacteristic, complemented
185#10622334C2211yescharacteristic, complemented
186#10622334C2211yescharacteristic, complemented
187#10622329C2211yescharacteristic, complemented
188#10622329C2211yescharacteristic, complemented
189#10622328C2211yescharacteristic, complemented
190#10622328C2211yescharacteristic, complemented
191#10622327C2211yescharacteristic, complemented
192#10622324C2211yescharacteristic, complemented
193#10622323C2211yescharacteristic, complemented
194#10622316C2211yescharacteristic, complemented
195#10622312C2211yescharacteristic, complemented
196C4×Dic44C2211yescharacteristic, complemented
197#10622310C2211yescharacteristic, complemented
198#10622309C2211yescharacteristic, complemented
199C4×#4314C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201C4×#4314C2211yescharacteristic, complemented
202#10622294C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206#67043—42no—
207#67043—42no—
208C2×Q8×D11—21no—
209C2×#4341—21no—
210C2×#4341—21no—
211C2×#4341—21no—
212C2×#4339—21no—
213C2×#4339—21no—
214C2×#4339—42no—
215C2×#4339—42no—
216C2×#4339C2311yescharacteristic
217C2×#4339C2311yescharacteristic
218C2×#4339C2311yescharacteristic
219C2×#4339C2311yescharacteristic
220C2×#4339C2311yescharacteristic
221C2×#4339C2311yescharacteristic
222C2×#4339C2311yescharacteristic
223C2×#4339C2311yescharacteristic
224C22×D44C2311yescharacteristic
225C22×C4×D11—21no—
226C22×Dic22C2311yescharacteristic
227C22×Dic22C2311yescharacteristic
228C22×Dic22C2311yescharacteristic
229C22×Dic22C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C2×C11×M16C2311yescharacteristic
233C2×C11×M16C2311yescharacteristic
234C2×C11×M16C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C2×C11×M16C2311yescharacteristic
237C2×C11×M16C2311yescharacteristic
238C22×C8×C11C2311yescharacteristic
239C22×C8×C11C2311yescharacteristic
240C11×#123D411yescharacteristic
241C11×#123D411yescharacteristic
242C11×C22⋊Q8D411yescharacteristic
243C11×C22⋊Q8D411yescharacteristic
244C11×#121D411yescharacteristic
245C11×#121D411yescharacteristic
246C11×#120D411yescharacteristic
247C11×#120D411yescharacteristic
248C4×D4×C11C2311yescharacteristic
249C4×D4×C11C2311yescharacteristic
250C4×D4×C11C2311yescharacteristic
251C4×D4×C11C2311yescharacteristic
252C11×#117C2311yescharacteristic
253#67006—21no—
254C2×C22⋊Dic11—21no—
255C2×C22⋊Dic11—21no—
256#66999—21no—
257#66999—21no—
258#66997—21no—
259#66992—21no—
260#66992—21no—
261#66992—21no—
262#66992—21no—
263#66992—21no—
264#66992—21no—
265#66992—21no—
266#66992—21no—
267#66992—21no—
268#66991—21no—
269#66991—21no—
270#66991—21no—
271#66991—21no—
272#66991—21no—
273#66990—21no—
274#66990—21no—
275#66989—21no—
276#66989—21no—
277#66988—21no—
278#66988—21no—
279#66988—21no—
280D4×Dic11—21no—
281D4×Dic11—21no—
282D4×Dic11—21no—
283D4×Dic11—21no—
284#66983C2311yescharacteristic
285#66983C2311yescharacteristic
286#66983C2311yescharacteristic
287#66983C2311yescharacteristic
288#66983C2311yescharacteristic
289#66982—21no—
290C4×C22⋊D11—21no—
291C4×C22⋊D11—21no—
292#66979C2311yescharacteristic
293#66979C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297#66977—21no—
298#66977—21no—
299#66977—21no—
300#66977—21no—
301#66977C2311yescharacteristic
302#66977C2311yescharacteristic
303#66977C2311yescharacteristic
304#66977C2311yescharacteristic
305#66977C2311yescharacteristic
306#66977C2311yescharacteristic
307#66977C2311yescharacteristic
308#66977C2311yescharacteristic
309#66977C2311yescharacteristic
310#66977C2311yescharacteristic
311#66977C2311yescharacteristic
312#66977C2311yescharacteristic
313#66977C2311yescharacteristic
314#66977C2311yescharacteristic
315#66977C2311yescharacteristic
316C2×Dic11⋊C4—21no—
317C2×Dic11⋊C4—21no—
318#66962—42no—
319#66962—42no—
320#66962—42no—
321#66962—42no—
322#66962—42no—
323#66961—42no—
324C2×Dic44—42no—
325C2×Dic44C2311yescharacteristic
326C2×Dic44C2311yescharacteristic
327C2×Dic44C2311yescharacteristic
328C2×Dic44C2311yescharacteristic
329C2×Dic44C2311yescharacteristic
330C2×Dic44C2311yescharacteristic
331C2×Dic44C2311yescharacteristic
332C2×Dic44C2311yescharacteristic
333C2×Dic44C2311yescharacteristic
334C2×Dic44C2311yescharacteristic
335C2×Dic44C2311yescharacteristic
336C2×Dic44C2311yescharacteristic
337#66957—42no—
338C2×D88C2311yescharacteristic
339C2×D88C2311yescharacteristic
340C2×#4314C2311yescharacteristic
341C2×#4314C2311yescharacteristic
342C2×#4314C2311yescharacteristic
343C2×#4314C2311yescharacteristic
344C2×#4314C2311yescharacteristic
345C2×#4314C2311yescharacteristic
346C2×#4314C2311yescharacteristic
347C2×#4314C2311yescharacteristic
348C2×#4314C2311yescharacteristic
349C2×#4314C2311yescharacteristic
350#66951—21no—
351#66951—21no—
352#66950—21no—
353#66950—21no—
354#66949—21no—
355#66949—21no—
356#66949—21no—
357#66949—21no—
358#66949—21no—
359#66947—21no—
360#66947—21no—
361#66945—21no—
362C4⋊C4×D11—21no—
363C4⋊C4×D11—21no—
364C4⋊C4×D11—21no—
365C4⋊C4×D11—21no—
366#66943—21no—
367#66942—21no—
368#66942—21no—
369#66942—21no—
370#66941—21no—
371#66941—21no—
372#66941—21no—
373#66940—21no—
374#66939—21no—
375#66939—21no—
376#66938—21no—
377#66938—21no—
378#66938—21no—
379#66938—21no—
380#66938—21no—
381#66937—21no—
382#66937—21no—
383#66936—21no—
384#66936—21no—
385#66936—21no—
386#66936—21no—
387#66936—21no—
388#66936—21no—
389#66936—21no—
390#66936—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4—21no—
398C22⋊C4×D11—21no—
399C22⋊C4×D11—21no—
400#66932—21no—
401#66932—21no—
402#66932—21no—
403#66932—21no—
404#66932—21no—
405#66931—21no—
406#66931—21no—
407#66931—21no—
408#66931—21no—
409#66931—21no—
410#66931—21no—
411#66931—21no—
412#66931—21no—
413#66930—21no—
414#66928C2311yescharacteristic
415#66928C2311yescharacteristic
416#66928C2311yescharacteristic
417C4×D44C2311yescharacteristic
418C4×D44C2311yescharacteristic
419C4×D44C2311yescharacteristic
420#66923C2311yescharacteristic
421#66922C2311yescharacteristic
422#66922C2311yescharacteristic
423#66922C2311yescharacteristic
424#66922C2311yescharacteristic
425C4×Dic22C2311yescharacteristic
426C4×Dic22C2311yescharacteristic
427C4×Dic22C2311yescharacteristic
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×C4⋊C8C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×C4⋊C8C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C11×C22⋊C8C2311yescharacteristic
436C11×C22⋊C8C2311yescharacteristic
437C11×C22⋊C8C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×C22⋊C8C2311yescharacteristic
441C11×C22⋊C8C2311yescharacteristic
442C11×C22⋊C8C2311yescharacteristic
443C11×C22⋊C8C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×#97C2311yescharacteristic
447C11×#97C2311yescharacteristic
448C4×C8×C11C2311yescharacteristic
449C4×C8×C11C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460#66882C2311yescharacteristic
461#66882C2311yescharacteristic
462#66881C2311yescharacteristic
463#66881C2311yescharacteristic
464#66881C2311yescharacteristic
465#66881C2311yescharacteristic
466#66881C2311yescharacteristic
467#66881C2311yescharacteristic
468#66880C2311yescharacteristic
469#66880C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66880C2311yescharacteristic
477#66880C2311yescharacteristic
478#66880C2311yescharacteristic
479#66880C2311yescharacteristic
480#66880C2311yescharacteristic
481#66880C2311yescharacteristic
482#66880C2311yescharacteristic
483#66880C2311yescharacteristic
484#66880C2311yescharacteristic
485#66880C2311yescharacteristic
486#66880C2311yescharacteristic
487#66880C2311yescharacteristic
488#66880C2311yescharacteristic
489#66880C2311yescharacteristic
490#61655—111nomaximal, Sylow
491C24×C11C2×D411yescharacteristic
492C23×D11—21no—
493C11×#41—41no—
494C11×#41—41no—
495C2×Q8×C11C2×D411yescharacteristic
496C2×D4×C11C2×D411yescharacteristic
497C2×D4×C11C2×D411yescharacteristic
498C2×D4×C11C2×D411yescharacteristic
499C2×D4×C11C2×D411yescharacteristic
500C2×D4×C11C2×D411yescharacteristic
501C2×D4×C11C2×D411yescharacteristic
502C2×D4×C11C2×D411yescharacteristic
503C22×C4×C11—41no—
504C22×C4×C11—41no—
505C22×C4×C11C2×D411yescharacteristic
506C22×C4×C11C2×D411yescharacteristic
507C22×C4×C11C2×D411yescharacteristic
508C22×C4×C11C2411yescharacteristic
509C22×C4×C11C2411yescharacteristic
510C22×C4×C11C2411yescharacteristic
511C22×C4×C11C2411yescharacteristic
512C22×C4×C11C2411yescharacteristic
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—44no—
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11—21no—
534C22×Dic11—21no—
535C22×Dic11—21no—
536Q8×D11—44no—
537#4341—44no—
538#4341—44no—
539#4341—44no—
540#4339—22no—
541#4339—22no—
542#4339—22no—
543#4339—22no—
544#4339—22no—
545#4339—22no—
546#4339—41no—
547#4339—41no—
548#4339—41no—
549#4339—41no—
550#4339—41no—
551#4339—41no—
552#4339—41no—
553#4339—41no—
554#4339—41no—
555#4339—41no—
556#4339—44no—
557#4339—44no—
558C2×D44—22no—
559C2×D44—21no—
560C2×D44—41no—
561C2×D44C2411yescharacteristic
562C2×D44C2411yescharacteristic
563C2×D44C2411yescharacteristic
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×C4×D11—21no—
567C2×C4×D11—21no—
568C2×C4×D11—21no—
569C2×C4×D11—21no—
570C2×C4×D11—21no—
571C2×C4×D11—21no—
572C2×C4×D11—21no—
573C2×C4×D11—21no—
574C2×C4×D11—21no—
575C2×C4×D11—44no—
576C2×Dic22—22no—
577C2×Dic22—22no—
578C2×Dic22—22no—
579C2×Dic22—21no—
580C2×Dic22—21no—
581C2×Dic22—21no—
582C2×Dic22—21no—
583C2×Dic22—21no—
584C2×Dic22—21no—
585C2×Dic22—21no—
586C2×Dic22—41no—
587C2×Dic22—41no—
588C2×Dic22—41no—
589C2×Dic22—41no—
590C2×Dic22—41no—
591C2×Dic22—41no—
592C2×Dic22—41no—
593C2×Dic22—41no—
594C2×Dic22—41no—
595C2×Dic22C2411yescharacteristic
596C2×Dic22C2411yescharacteristic
597C2×Dic22C2411yescharacteristic
598C2×Dic22C2411yescharacteristic
599C2×Dic22C2411yescharacteristic
600C2×Dic22C2411yescharacteristic
601C2×Dic22C2411yescharacteristic
602C11×M16—41no—
603C11×M16—41no—
604C11×M16—41no—
605C11×M16—41no—
606C11×M16—41no—
607C11×M16—41no—
608C2×C8×C11—41no—
609C2×C8×C11—41no—
610C2×C8×C11C2411yescharacteristic
611C2×C8×C11C2411yescharacteristic
612C2×C8×C11C2411yescharacteristic
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C2×C8×C11C2411yescharacteristic
616C2×C8×C11C2411yescharacteristic
617C2×C8×C11C2411yescharacteristic
618C11×C4⋊C4C2×D411yescharacteristic
619C11×C4⋊C4C2×D411yescharacteristic
620C11×C4⋊C4C2×D411yescharacteristic
621C11×C4⋊C4C2×D411yescharacteristic
622C11×C4⋊C4C2×D411yescharacteristic
623C11×C4⋊C4C2×D411yescharacteristic
624C11×C22⋊C4C2×D411yescharacteristic
625C11×C22⋊C4C2×D411yescharacteristic
626C11×C22⋊C4C2×D411yescharacteristic
627C11×C22⋊C4C2×D411yescharacteristic
628C11×C22⋊C4C2×D411yescharacteristic
629C11×C22⋊C4C2×D411yescharacteristic
630C11×C22⋊C4C2×D411yescharacteristic
631C11×C22⋊C4C2×D411yescharacteristic
632C11×C22⋊C4C2×D411yescharacteristic
633C11×C22⋊C4C2×D411yescharacteristic
634C42×C11C2411yescharacteristic
635C42×C11C2411yescharacteristic
636C22⋊Dic11—21no—
637C22⋊Dic11—21no—
638C22⋊Dic11—21no—
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667C4⋊Dic11—21no—
668C4⋊Dic11—21no—
669C4⋊Dic11—21no—
670C4⋊Dic11—21no—
671C4⋊Dic11—21no—
672C4⋊Dic11—21no—
673C4⋊Dic11—21no—
674C4⋊Dic11—21no—
675C4⋊Dic11—21no—
676C4⋊Dic11—21no—
677C4⋊Dic11C2411yescharacteristic
678C4⋊Dic11C2411yescharacteristic
679C4⋊Dic11C2411yescharacteristic
680C4⋊Dic11C2411yescharacteristic
681C4⋊Dic11C2411yescharacteristic
682C4⋊Dic11C2411yescharacteristic
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4—21no—
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4—21no—
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705C4×Dic11—21no—
706C4×Dic11—21no—
707C4×Dic11—21no—
708C4×Dic11—21no—
709C4×Dic11—21no—
710C4×Dic11—21no—
711C4×Dic11—21no—
712Dic44—22no—
713Dic44—22no—
714Dic44—22no—
715Dic44—41no—
716Dic44—41no—
717Dic44—41no—
718Dic44—41no—
719Dic44—41no—
720Dic44—41no—
721Dic44—41no—
722Dic44—41no—
723Dic44—41no—
724D88—22no—
725D88—41no—
726#4314—22no—
727#4314—22no—
728#4314—22no—
729#4314—22no—
730#4314—41no—
731#4314—41no—
732#4314—41no—
733#4314—41no—
734#4314—41no—
735#4314—41no—
736#3541—111no—
737#3489—111no—
738#3331—111no—
739#3328—111no—
740#3326—111no—
741#3323—111no—
742#3316—111no—
743#3312—111no—
744#3311—111no—
745#3307—111no—
746#3277—111no—
747#3276—111no—
748#3276—111no—
749#3275—111no—
750#3270—111no—
751#3270—111no—
752#3269—111no—
753#3267—111no—
754#3225—111no—
755#3223—111no—
756#3204—111no—
757#3201—111no—
758#3196—111no—
759#3195—111no—
760#3125—111no—
761#3120—111no—
762#3013—111no—
763#3011—111no—
764#3007—111no—
765#3005—111no—
766#2978D1111yescharacteristic, complemented
767C23×C11—41no—
768C23×C11—41no—
769C23×C11—41no—
770C23×C11C22×D411yescharacteristic
771C23×C11C22×D411yescharacteristic
772C23×C11C22×D411yescharacteristic
773C23×C11C22×D411yescharacteristic
774C23×C11C22×D411yescharacteristic
775C22×D11—21no—
776C22×D11—21no—
777C22×D11—21no—
778C22×D11—42no—
779C22×D11—42no—
780C22×D11—81no—
781Q8×C11—41no—
782D4×C11—41no—
783D4×C11—41no—
784D4×C11—41no—
785D4×C11—41no—
786D4×C11—41no—
787D4×C11—41no—
788D4×C11—41no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—41no—
800C2×C4×C11—41no—
801C2×C4×C11—41no—
802C2×C4×C11C22×D411yescharacteristic
803C2×C4×C11C22×D411yescharacteristic
804C2×C4×C11C22×D411yescharacteristic
805C2×C4×C11C22×D411yescharacteristic
806C2×C4×C11C22×D411yescharacteristic
807C2×C4×C11C22×D411yescharacteristic
808C2×C4×C11C22×D411yescharacteristic
809C2×C4×C11C22×D411yescharacteristic
810C2×C4×C11C22×D411yescharacteristic
811C2×C4×C11C2511yescharacteristic
812C22⋊D11—24no—
813C22⋊D11—42no—
814C22⋊D11—42no—
815C22⋊D11—42no—
816C22⋊D11—42no—
817C22⋊D11—42no—
818C22⋊D11—42no—
819C22⋊D11—81no—
820C22⋊D11—81no—
821C22⋊D11—81no—
822C22⋊D11—81no—
823C22⋊D11—81no—
824C22⋊D11—81no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—42no—
839C2×Dic11—42no—
840C2×Dic11—42no—
841C2×Dic11—42no—
842C2×Dic11—81no—
843C2×Dic11—81no—
844C2×Dic11—81no—
845C2×Dic11—81no—
846C2×Dic11—81no—
847D44—21no—
848D44—21no—
849D44—21no—
850D44—21no—
851D44—21no—
852D44—42no—
853D44H(5,𝔽2)12yes—
854C4×D11—24no—
855C4×D11—42no—
856C4×D11—42no—
857C4×D11—42no—
858C4×D11—42no—
859C4×D11—42no—
860C4×D11—81no—
861C4×D11—81no—
862C4×D11—81no—
863C4×D11—81no—
864C4×D11—81no—
865Dic22—21no—
866Dic22—21no—
867Dic22—21no—
868Dic22—21no—
869Dic22—21no—
870Dic22—21no—
871Dic22—21no—
872Dic22—21no—
873Dic22—21no—
874Dic22—21no—
875Dic22—21no—
876Dic22—21no—
877Dic22—21no—
878Dic22—42no—
879Dic22—42no—
880Dic22—42no—
881Dic22—42no—
882Dic22—81no—
883Dic22—81no—
884Dic22—81no—
885Dic22H(5,𝔽2)12yes—
886C8×C11—21no—
887C8×C11—21no—
888C8×C11—21no—
889C8×C11—21no—
890C8×C11—21no—
891C8×C11—21no—
892C8×C11—21no—
893C8×C11—21no—
894C2×2−1+4—111no—
895C22×#41—111no—
896C2×#137—111no—
897C2×#137—111no—
898C2×#137—111no—
899C2×#137—111no—
900C2×#137—111no—
901C2×AGL(1,ℤ/8)—111no—
902C2×#135—111no—
903C22×Q16—111no—
904#563—221no—
905#562—221no—
906#556—111no—
907#554—111no—
908#554—221no—
909#553—111no—
910#553—221no—
911#552—111no—
912D4×Q8—111no—
913D4×Q8—111no—
914D4×Q8—111no—
915#548—111no—
916#548—111no—
917#548—111no—
918#548—111no—
919#547—111no—
920#547—111no—
921#547—111no—
922#547—221no—
923#547—221no—
924#546—111no—
925#546—111no—
926#546—221no—
927#546—221no—
928#542—111no—
929#542—221no—
930#541—111no—
931#539—221no—
932#538—221no—
933#538—221no—
934#537—111no—
935#537—111no—
936#537—221no—
937#536—111no—
938#536—111no—
939#536—221no—
940#525—111no—
941#525—221no—
942#525C2×D1111yescharacteristic
943C2×C22⋊Q8—111no—
944C2×C22⋊Q8—111no—
945C2×C22⋊Q8—221no—
946#520—111no—
947#497—111no—
948#497—111no—
949#495—111no—
950#494—111no—
951#491—111no—
952#489—111no—
953#488—111no—
954#487—111no—
955#485—111no—
956#485—111no—
957#485—111no—
958#484—111no—
959#483—111no—
960#483—111no—
961#483—111no—
962#483—111no—
963#483—111no—
964#482—111no—
965#481—111no—
966#481—111no—
967#479—111no—
968#478—111no—
969#476—111no—
970#475—111no—
971#470—111no—
972#470—111no—
973#470—111no—
974#470—111no—
975#470—111no—
976#470—111no—
977#470—111no—
978#470—111no—
979#469—111no—
980#468—111no—
981#468—111no—
982#468—111no—
983#467—111no—
984#465—111no—
985#465—111no—
986#465—111no—
987#464—111no—
988#464—111no—
989#464—111no—
990#464—111no—
991#463—111no—
992#463—111no—
993#462—111no—
994#462—111no—
995#462—111no—
996#462—111no—
997#461—111no—
998#461—111no—
999#452—111no—
1000#452—111no—
1001#452—111no—
1002#452—111no—
1003#452—111no—
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452—111no—
1013#451—111no—
1014#451—111no—
1015#451—111no—
1016#451—111no—
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#451—111no—
1024#450—111no—
1025#450—111no—
1026#449—111no—
1027#449—111no—
1028#449—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#448—111no—
1033#448—111no—
1034#448—111no—
1035#442—111no—
1036#441—111no—
1037#441—111no—
1038#440—111no—
1039C4×Q16—111no—
1040C4×SD16—111no—
1041C4×SD16—111no—
1042C4×SD16—111no—
1043#436C2×D1111yescharacteristic
1044#436C2×D1111yescharacteristic
1045#436C2×D1111yescharacteristic, complemented
1046#436C2×D1111yescharacteristic, complemented
1047#435C2×D1111yescharacteristic
1048#435C2×D1111yescharacteristic
1049#435C2×D1111yescharacteristic, complemented
1050#435C2×D1111yescharacteristic, complemented
1051#433C2×D1111yescharacteristic, complemented
1052#433C2×D1111yescharacteristic, complemented
1053#419—111no—
1054#419—111no—
1055#418—111no—
1056#417—111no—
1057#417—111no—
1058#417—111no—
1059#416—111no—
1060C2×#103—111no—
1061#408C2×D1111yescharacteristic, complemented
1062#408C2×D1111yescharacteristic, complemented
1063#407C2×D1111yescharacteristic
1064#407C2×D1111yescharacteristic
1065C22×C11—21no—
1066C22×C11—21no—
1067C22×C11—21no—
1068C22×C11—21no—
1069C22×C11—21no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—21no—
1075C22×C11—21no—
1076C22×C11—21no—
1077C22×C11—21no—
1078C22×C11—21no—
1079C22×C11—21no—
1080C22×C11—82no—
1081C22×C11C23×D411yescharacteristic
1082C2×D11—22no—
1083C2×D11—41no—
1084C2×D11—41no—
1085C2×D11—41no—
1086C2×D11—41no—
1087C2×D11—41no—
1088C2×D11—41no—
1089C2×D11—41no—
1090C2×D11—41no—
1091C2×D11—84no—
1092C4×C11—21no—
1093C4×C11—21no—
1094C4×C11—21no—
1095C4×C11—21no—
1096C4×C11—21no—
1097C4×C11—21no—
1098C4×C11—21no—
1099C4×C11—21no—
1100C4×C11—21no—
1101C4×C11C2×H(5,𝔽2)11yescharacteristic
1102C4×C11C2×H(5,𝔽2)11yescharacteristic
1103Dic11—22no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11—41no—
1108Dic11—41no—
1109Dic11—41no—
1110Dic11—41no—
1111Dic11—41no—
1112Dic11—41no—
1113Dic11—41no—
1114Dic11—41no—
1115Dic11—41no—
11162−1+4—442no—
11172−1+4—442no—
1118C2×#41—111no—
1119C2×#41—111no—
1120C2×#41—111no—
1121C2×#41—111no—
1122C2×#41—111no—
1123C2×#41—111no—
1124C2×#41—111no—
1125C2×#41—111no—
1126C2×#41—221no—
1127C2×#41—221no—
1128C2×#41—221no—
1129C2×#41—221no—
1130C2×#41—221no—
1131C2×#41—442no—
1132C2×#41—442no—
1133C2×#41C22×D1111yescharacteristic
1134C22×Q8—111no—
1135C22×Q8—111no—
1136C22×Q8—111no—
1137C22×Q8—111no—
1138C22×Q8—111no—
1139C22×Q8—111no—
1140C22×Q8—221no—
1141C22×D4—111no—
1142C22×D4—221no—
1143C23×C4—221no—
1144C23×C4C22×D1111yescharacteristic
1145#137—442no—
1146#137—442no—
1147#137—442no—
1148#137—442no—
1149#137—442no—
1150AGL(1,ℤ/8)—442no—
1151#135—442no—
1152C2×Q16—111no—
1153C2×Q16—111no—
1154C2×Q16—111no—
1155C2×Q16—111no—
1156C2×Q16—111no—
1157C2×Q16—111no—
1158C2×Q16—111no—
1159C2×Q16—111no—
1160C2×Q16—111no—
1161C2×Q16—111no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×Q16—442no—
1165C2×SD16—111no—
1166C2×SD16—111no—
1167C2×SD16—111no—
1168C2×SD16—111no—
1169C2×SD16—111no—
1170C2×SD16—111no—
1171C2×SD16—111no—
1172C2×SD16—111no—
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×D8—111no—
1176C2×D8—111no—
1177C2×M16C22×D1111yescharacteristic
1178C2×M16C22×D1111yescharacteristic
1179C2×M16C22×D1111yescharacteristic
1180C2×M16C22×D1111yescharacteristic
1181C2×M16C22×D1111yescharacteristic
1182C2×M16C22×D1111yescharacteristic
1183C22×C8C22×D1111yescharacteristic
1184C22×C8C22×D1111yescharacteristic
1185C4⋊Q8—111no—
1186C4⋊Q8—111no—
1187C4⋊Q8—111no—
1188C4⋊Q8—111no—
1189C4⋊Q8—221no—
1190C4⋊Q8—221no—
1191C4⋊Q8—221no—
1192C4⋊Q8—221no—
1193#126—221no—
1194#126—221no—
1195#126—221no—
1196#126—221no—
1197#126—221no—
1198#126—221no—
1199#126—221no—
1200#125—111no—
1201#125—221no—
1202#125—221no—
1203#125—221no—
1204#125—221no—
1205#124—111no—
1206#124—111no—
1207#124—111no—
1208#124—221no—
1209#124—221no—
1210#124—221no—
1211#124—221no—
1212#124—221no—
1213#124—221no—
1214#124—221no—
1215#123—221no—
1216#123—221no—
1217#123—221no—
1218#123—221no—
1219#123—221no—
1220#123—221no—
1221#123—221no—
1222#123—221no—
1223#123—221no—
1224#123—221no—
1225#123—221no—
1226#123—221no—
1227#123—221no—
1228#123—221no—
1229#123—221no—
1230#123—221no—
1231#123D4411yescharacteristic
1232#123D4411yescharacteristic
1233C22⋊Q8—111no—
1234C22⋊Q8—111no—
1235C22⋊Q8—111no—
1236C22⋊Q8—111no—
1237C22⋊Q8—111no—
1238C22⋊Q8—111no—
1239C22⋊Q8—111no—
1240C22⋊Q8—111no—
1241C22⋊Q8—111no—
1242C22⋊Q8—111no—
1243C22⋊Q8—111no—
1244C22⋊Q8—111no—
1245C22⋊Q8—111no—
1246C22⋊Q8—111no—
1247C22⋊Q8—111no—
1248C22⋊Q8—221no—
1249C22⋊Q8—221no—
1250C22⋊Q8—221no—
1251C22⋊Q8—221no—
1252C22⋊Q8—221no—
1253C22⋊Q8—221no—
1254C22⋊Q8—221no—
1255C22⋊Q8—221no—
1256C22⋊Q8—221no—
1257C22⋊Q8—221no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8D4411yescharacteristic
1270C22⋊Q8D4411yescharacteristic
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—221no—
1277#121—221no—
1278#121—221no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121D4411yescharacteristic
1293#121D4411yescharacteristic
1294#120—221no—
1295#120—221no—
1296#120—221no—
1297#120D4411yescharacteristic
1298#120D4411yescharacteristic
1299C4×Q8—111no—
1300C4×Q8—111no—
1301C4×Q8—111no—
1302C4×Q8—111no—
1303C4×Q8—111no—
1304C4×Q8—221no—
1305C4×D4—111no—
1306C4×D4—111no—
1307C4×D4—111no—
1308C4×D4—221no—
1309C4×D4—221no—
1310C4×D4—221no—
1311C4×D4—221no—
1312C4×D4—221no—
1313C4×D4—221no—
1314C4×D4—221no—
1315C4×D4—221no—
1316C4×D4—221no—
1317C4×D4—221no—
1318C4×D4—221no—
1319C4×D4—221no—
1320C4×D4—221no—
1321C4×D4C22×D1111yescharacteristic
1322C4×D4C22×D1111yescharacteristic
1323C4×D4C22×D1111yescharacteristic
1324C4×D4C22×D1111yescharacteristic
1325#117—111no—
1326#117—111no—
1327#117—221no—
1328#117—221no—
1329#117C22×D1111yescharacteristic
1330C2×C4⋊C4—111no—
1331C2×C4⋊C4—111no—
1332C2×C4⋊C4—111no—
1333C2×C4⋊C4—221no—
1334C2×C4⋊C4—221no—
1335C2×C4⋊C4—221no—
1336C2×C4⋊C4—221no—
1337C2×C4⋊C4—221no—
1338C2×C4⋊C4—221no—
1339C2×C22⋊C4—221no—
1340C2×C22⋊C4—221no—
1341C2×C22⋊C4—221no—
1342C2×C22⋊C4—221no—
1343#107—111no—
1344#107—111no—
1345#106—111no—
1346#106—111no—
1347#106—111no—
1348#106—111no—
1349#106—111no—
1350#106—111no—
1351C4⋊C8C22×D1111yescharacteristic
1352C4⋊C8C22×D1111yescharacteristic
1353C4⋊C8C22×D1111yescharacteristic
1354C4⋊C8C22×D1111yescharacteristic
1355#103—111no—
1356#103—111no—
1357#103—111no—
1358#103—111no—
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387C22⋊C8C22×D1111yescharacteristic
1388C22⋊C8C22×D1111yescharacteristic
1389C22⋊C8C22×D1111yescharacteristic
1390C22⋊C8C22×D1111yescharacteristic
1391C22⋊C8C22×D1111yescharacteristic
1392C22⋊C8C22×D1111yescharacteristic
1393C22⋊C8C22×D1111yescharacteristic
1394C22⋊C8C22×D1111yescharacteristic
1395C22⋊C8C22×D1111yescharacteristic
1396C22⋊C8C22×D1111yescharacteristic
1397C22⋊C8C22×D1111yescharacteristic
1398C22⋊C8C22×D1111yescharacteristic
1399#97C22×D1111yescharacteristic
1400#97C22×D1111yescharacteristic
1401C4×C8C22×D1111yescharacteristic
1402C4×C8C22×D1111yescharacteristic
1403C2×C11—41no—
1404C2×C11—41no—
1405C2×C11—41no—
1406C2×C11—41no—
1407C2×C11—41no—
1408C2×C11#348411yescharacteristic
1409C2×C11#358611yescharacteristic
1410C2×C11#358611yescharacteristic
1411D11—42no—
1412D11—81no—
1413D11—81no—
1414C24—221no—
1415C24C2×D4411yescharacteristic
1416#41—41no—
1417#41—41no—
1418#41—222no—
1419#41—222no—
1420#41—222no—
1421#41—222no—
1422#41—222no—
1423#41—222no—
1424#41—441no—
1425#41—441no—
1426#41—441no—
1427#41—441no—
1428#41—441no—
1429#41—441no—
1430#41—441no—
1431#41—441no—
1432#41—441no—
1433#41—441no—
1434#41—444no—
1435#41—444no—
1436#41—444no—
1437#41—444no—
1438#41—444no—
1439C2×Q8—111no—
1440C2×Q8—111no—
1441C2×Q8—111no—
1442C2×Q8—111no—
1443C2×Q8—111no—
1444C2×Q8—111no—
1445C2×Q8—111no—
1446C2×Q8—222no—
1447C2×Q8—222no—
1448C2×Q8—222no—
1449C2×Q8—221no—
1450C2×Q8—221no—
1451C2×Q8—221no—
1452C2×Q8—221no—
1453C2×Q8—221no—
1454C2×Q8—221no—
1455C2×Q8—221no—
1456C2×Q8—441no—
1457C2×Q8—441no—
1458C2×Q8—441no—
1459C2×Q8—441no—
1460C2×Q8—441no—
1461C2×Q8—441no—
1462C2×Q8—441no—
1463C2×Q8—441no—
1464C2×Q8—441no—
1465C2×Q8—444no—
1466C2×Q8C2×D4411yescharacteristic
1467C2×D4—111no—
1468C2×D4—111no—
1469C2×D4—111no—
1470C2×D4—222no—
1471C2×D4—221no—
1472C2×D4—221no—
1473C2×D4—221no—
1474C2×D4—221no—
1475C2×D4—221no—
1476C2×D4—221no—
1477C2×D4—221no—
1478C2×D4—221no—
1479C2×D4—221no—
1480C2×D4—221no—
1481C2×D4—221no—
1482C2×D4—221no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—441no—
1486C2×D4—444no—
1487C2×D4C2×D4411yescharacteristic
1488C2×D4C2×D4411yescharacteristic
1489C2×D4C2×D4411yescharacteristic
1490C2×D4C2×D4411yescharacteristic
1491C2×D4C2×D4411yescharacteristic
1492C2×D4C2×D4411yescharacteristic
1493C2×D4C2×D4411yescharacteristic
1494C22×C4—41no—
1495C22×C4—41no—
1496C22×C4—221no—
1497C22×C4—221no—
1498C22×C4—221no—
1499C22×C4—221no—
1500C22×C4—221no—
1501C22×C4—221no—
1502C22×C4—221no—
1503C22×C4—221no—
1504C22×C4—221no—
1505C22×C4—221no—
1506C22×C4—221no—
1507C22×C4—221no—
1508C22×C4—221no—
1509C22×C4—221no—
1510C22×C4—221no—
1511C22×C4—221no—
1512C22×C4—221no—
1513C22×C4—221no—
1514C22×C4—221no—
1515C22×C4—221no—
1516C22×C4—444no—
1517C22×C4C2×D4411yescharacteristic
1518C22×C4C2×D4411yescharacteristic
1519C22×C4C2×D4411yescharacteristic
1520C22×C4C23×D1111yescharacteristic
1521C22×C4C23×D1111yescharacteristic
1522C22×C4C23×D1111yescharacteristic
1523C22×C4C23×D1111yescharacteristic
1524C22×C4C23×D1111yescharacteristic
1525Q16—222no—
1526Q16—222no—
1527Q16—222no—
1528Q16—441no—
1529Q16—441no—
1530Q16—441no—
1531Q16—441no—
1532Q16—441no—
1533Q16—441no—
1534Q16—441no—
1535Q16—441no—
1536Q16—441no—
1537SD16—222no—
1538SD16—222no—
1539SD16—222no—
1540SD16—222no—
1541SD16—441no—
1542SD16—441no—
1543SD16—441no—
1544SD16—441no—
1545SD16—441no—
1546SD16—441no—
1547D8—222no—
1548D8—441no—
1549M16—41no—
1550M16—41no—
1551M16—41no—
1552M16—41no—
1553M16—41no—
1554M16—41no—
1555C2×C8—41no—
1556C2×C8—41no—
1557C2×C8C23×D1111yescharacteristic
1558C2×C8C23×D1111yescharacteristic
1559C2×C8C23×D1111yescharacteristic
1560C2×C8C23×D1111yescharacteristic
1561C2×C8C23×D1111yescharacteristic
1562C2×C8C23×D1111yescharacteristic
1563C2×C8C23×D1111yescharacteristic
1564C2×C8C23×D1111yescharacteristic
1565C4⋊C4—111no—
1566C4⋊C4—111no—
1567C4⋊C4—111no—
1568C4⋊C4—111no—
1569C4⋊C4—111no—
1570C4⋊C4—111no—
1571C4⋊C4—221no—
1572C4⋊C4—221no—
1573C4⋊C4—221no—
1574C4⋊C4—221no—
1575C4⋊C4—221no—
1576C4⋊C4—221no—
1577C4⋊C4—221no—
1578C4⋊C4—221no—
1579C4⋊C4—221no—
1580C4⋊C4—221no—
1581C4⋊C4—221no—
1582C4⋊C4—221no—
1583C4⋊C4—221no—
1584C4⋊C4—221no—
1585C4⋊C4—221no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4C2×D4411yescharacteristic
1604C4⋊C4C2×D4411yescharacteristic
1605C4⋊C4C2×D4411yescharacteristic
1606C4⋊C4C2×D4411yescharacteristic
1607C4⋊C4C2×D4411yescharacteristic
1608C4⋊C4C2×D4411yescharacteristic
1609C22⋊C4—221no—
1610C22⋊C4—221no—
1611C22⋊C4—221no—
1612C22⋊C4—221no—
1613C22⋊C4—221no—
1614C22⋊C4—221no—
1615C22⋊C4—221no—
1616C22⋊C4—221no—
1617C22⋊C4—221no—
1618C22⋊C4—221no—
1619C22⋊C4—221no—
1620C22⋊C4—221no—
1621C22⋊C4—221no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4C2×D4411yescharacteristic
1641C22⋊C4C2×D4411yescharacteristic
1642C22⋊C4C2×D4411yescharacteristic
1643C22⋊C4C2×D4411yescharacteristic
1644C22⋊C4C2×D4411yescharacteristic
1645C22⋊C4C2×D4411yescharacteristic
1646C22⋊C4C2×D4411yescharacteristic
1647C22⋊C4C2×D4411yescharacteristic
1648C22⋊C4C2×D4411yescharacteristic
1649C22⋊C4C2×D4411yescharacteristic
1650C42—221no—
1651C42—221no—
1652C42—221no—
1653C42—221no—
1654C42—221no—
1655C42—221no—
1656C42—221no—
1657C42C23×D1111yescharacteristic
1658C42C23×D1111yescharacteristic
1659C11#6165511yescharacteristic, complemented, Sylow
1660C23—41no—
1661C23—41no—
1662C23—41no—
1663C23—221no—
1664C23—221no—
1665C23—221no—
1666C23—442no—
1667C23—442no—
1668C23—881no—
1669C23C22×D4411yescharacteristic
1670C23C22×D4411yescharacteristic
1671C23C22×D4411yescharacteristic
1672C23C22×D4411yescharacteristic
1673C23C22×D4411yescharacteristic
1674Q8—41no—
1675Q8—112no—
1676Q8—221no—
1677Q8—221no—
1678Q8—221no—
1679Q8—221no—
1680Q8—221no—
1681Q8—221no—
1682Q8—221no—
1683Q8—221no—
1684Q8—221no—
1685Q8—221no—
1686Q8—221no—
1687Q8—221no—
1688Q8—221no—
1689Q8—442no—
1690Q8—442no—
1691Q8—442no—
1692Q8—442no—
1693Q8—881no—
1694Q8—881no—
1695Q8—881no—
1696D4—41no—
1697D4—41no—
1698D4—41no—
1699D4—41no—
1700D4—41no—
1701D4—41no—
1702D4—41no—
1703D4—112no—
1704D4—224no—
1705D4—221no—
1706D4—221no—
1707D4—221no—
1708D4—221no—
1709D4—221no—
1710D4—442no—
1711D4—442no—
1712D4—442no—
1713D4—442no—
1714D4—442no—
1715D4—442no—
1716D4—442no—
1717D4—881no—
1718D4—881no—
1719D4—881no—
1720D4—881no—
1721D4—881no—
1722D4—881no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—224no—
1737C2×C4—221no—
1738C2×C4—221no—
1739C2×C4—221no—
1740C2×C4—221no—
1741C2×C4—221no—
1742C2×C4—221no—
1743C2×C4—221no—
1744C2×C4—221no—
1745C2×C4—221no—
1746C2×C4—221no—
1747C2×C4—221no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—442no—
1751C2×C4—442no—
1752C2×C4—442no—
1753C2×C4—442no—
1754C2×C4—442no—
1755C2×C4—442no—
1756C2×C4—442no—
1757C2×C4—442no—
1758C2×C4—442no—
1759C2×C4—881no—
1760C2×C4—881no—
1761C2×C4—881no—
1762C2×C4—881no—
1763C2×C4—881no—
1764C2×C4—881no—
1765C2×C4—881no—
1766C2×C4—881no—
1767C2×C4—881no—
1768C2×C4—881no—
1769C2×C4C22×D4411yescharacteristic
1770C2×C4C22×D4411yescharacteristic
1771C2×C4C22×D4411yescharacteristic
1772C2×C4C22×D4411yescharacteristic
1773C2×C4C22×D4411yescharacteristic
1774C2×C4C22×D4411yescharacteristic
1775C2×C4C22×D4411yescharacteristic
1776C2×C4C22×D4411yescharacteristic
1777C2×C4C22×D4411yescharacteristic
1778C2×C4C24×D1111yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—21no—
1784C8—21no—
1785C8—21no—
1786C8—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—21no—
1794C22—21no—
1795C22—21no—
1796C22—21no—
1797C22—21no—
1798C22—21no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—82no—
1803C22—222no—
1804C22—441no—
1805C22—441no—
1806C22—441no—
1807C22—441no—
1808C22—441no—
1809C22—441no—
1810C22—441no—
1811C22—441no—
1812C22—884no—
1813C22C23×D4411yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—21no—
1819C4—21no—
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—222no—
1824C4—441no—
1825C4—441no—
1826C4—441no—
1827C4—441no—
1828C4—441no—
1829C4—441no—
1830C4—441no—
1831C4—441no—
1832C4—441no—
1833C4—441no—
1834C4—441no—
1835C4—441no—
1836C4D11×H(5,𝔽2)11yescharacteristic
1837C4D11×H(5,𝔽2)11yescharacteristic
1838C2—41no—
1839C2—41no—
1840C2—41no—
1841C2—41no—
1842C2—41no—
1843C2—442no—
1844C2—881no—
1845C2—881no—
1846C2#1308225211yescharacteristic
1847C2#1308340411yescharacteristic
1848C2#1308340411yescharacteristic
subgroupG/H
centerC22C23×D44
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#2978C2
socleC22×C11C23×D4
hypercenter#2978D11
hypocenterC11#61655
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #525 ◁ #2978

Complements

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

NH ≅ G/Ntype
1. #13082909C2semidirect
2. #13082288C2semidirect
3. #13080933C2semidirect
4. #13080900C2semidirect
5. #13080871C2semidirect
6. #13080834C2semidirect
7. #13080729C2semidirect
8. #13080669C2semidirect
9. #13080654C2semidirect
10. #13080594C2semidirect
11. #13080274C2semidirect
12. #13080264C2semidirect
13. #13080264C2semidirect
14. #13080252C2semidirect
15. #13080191C2semidirect
16. #13080191C2semidirect
17. #13080176C2semidirect
18. #13080146C2semidirect
19. #13079727C2semidirect
20. #13079701C2semidirect
21. #13079528C2semidirect
22. #13079500C2semidirect
23. #13079448C2semidirect
24. #13079440C2semidirect
25. #13078895C2semidirect
26. #13078832C2semidirect
27. #13077934C2semidirect
28. #13077913C2semidirect
29. #13077878C2semidirect
30. #13077861C2semidirect
31. C11×#2978C2semidirect
36. #10623364C22semidirect
37. #10623356C22semidirect
44. C2×#66962C22semidirect
45. C2×#66962C22semidirect
47. C22×Dic44C22semidirect
48. C2×#66957C22semidirect
65. #10623096C22semidirect
69. #10623083C22semidirect
75. #10623074C22semidirect
80. D4×Dic22C22semidirect
81. #10623065C22semidirect
84. #10623049C22semidirect
87. C11×#436C22semidirect
88. C11×#436C22semidirect
91. C11×#435C22semidirect
92. C11×#435C22semidirect
93. C11×#433C22semidirect
94. C11×#433C22semidirect
95. C11×#408C22semidirect
96. C11×#408C22semidirect
103. #10622750C22semidirect
104. #10622750C22semidirect
105. #10622750C22semidirect
106. #10622750C22semidirect
107. #10622748C22semidirect
108. #10622747C22semidirect
109. #10622747C22semidirect
110. #10622747C22semidirect
113. #10622746C22semidirect
116. #10622733C22semidirect
117. #10622729C22semidirect
118. #10622727C22semidirect
119. #10622727C22semidirect
120. #10622727C22semidirect
121. #10622726C22semidirect
122. C2×#66880C22semidirect
123. #10622464C22semidirect
124. #10622462C22semidirect
125. #10622462C22semidirect
126. #10622462C22semidirect
127. #10622462C22semidirect
128. #10622460C22semidirect
129. #10622458C22semidirect
130. #10622458C22semidirect
131. #10622458C22semidirect
132. #10622458C22semidirect
133. #10622457C22semidirect
134. #10622457C22semidirect
135. #10622455C22semidirect
136. #10622454C22semidirect
137. #10622454C22semidirect
138. #10622442C22semidirect
141. #10622352C22semidirect
142. #10622352C22semidirect
143. #10622352C22semidirect
144. #10622352C22semidirect
145. #10622352C22semidirect
146. #10622352C22semidirect
147. #10622352C22semidirect
148. #10622352C22semidirect
149. #10622352C22semidirect
150. #10622351C22semidirect
151. #10622351C22semidirect
152. #10622351C22semidirect
153. #10622350C22semidirect
154. #10622348C22semidirect
155. #10622348C22semidirect
160. #10622347C22semidirect
161. #10622347C22semidirect
172. #10622346C22semidirect
173. #10622346C22semidirect
174. #10622346C22semidirect
175. #10622346C22semidirect
180. #10622336C22semidirect
181. #10622335C22semidirect
182. #10622334C22semidirect
183. #10622334C22semidirect
184. #10622334C22semidirect
185. #10622334C22semidirect
186. #10622334C22semidirect
187. #10622329C22semidirect
188. #10622329C22semidirect
189. #10622328C22semidirect
190. #10622328C22semidirect
191. #10622327C22semidirect
192. #10622324C22semidirect
193. #10622323C22semidirect
194. #10622316C22semidirect
195. #10622312C22semidirect
196. C4×Dic44C22semidirect
197. #10622310C22semidirect
198. #10622309C22semidirect
199. C4×#4314C22semidirect
200. C4×#4314C22semidirect
201. C4×#4314C22semidirect
202. #10622294C22semidirect
766. #2978D11semidirect
1045. #436C2×D11semidirect
1046. #436C2×D11semidirect
1049. #435C2×D11semidirect
1050. #435C2×D11semidirect
1051. #433C2×D11semidirect
1052. #433C2×D11semidirect
1061. #408C2×D11semidirect
1062. #408C2×D11semidirect
1659. C11#61655semidirect

Maximal subgroups

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

subgroupindex
#130829092
#130822882
#130809332
#130809002
#130808712
#130808342
#130807292
#130806692
#130806542
#130805942
#130802742
#130802642
#130802522
#130801912
#130801762
#130801462
#130797272
#130797012
#130795282
#130795002
#130794482
#130794402
#130788952
#130788322
#130779342
#130779132
#130778782
#130778612
C11×#29782
#6165511