Finite Group Databasebeta

← #15639419

Subgroups — #15639419

Order 2816.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082909C211yesmaximal, characteristic, complemented
2#13082263C211yesmaximal, characteristic, complemented
3#13080900C211yesmaximal, characteristic, complemented
4#13080886C211yesmaximal, characteristic, complemented
5#13080789C211yesmaximal, characteristic, complemented
6#13080729C211yesmaximal, characteristic, complemented
7#13080684C211yesmaximal, characteristic, complemented
8#13080669C211yesmaximal, characteristic, complemented
9#13080520C211yesmaximal, characteristic, complemented
10#13080493C211yesmaximal, characteristic, complemented
11D4×Dic44C211yesmaximal, characteristic, complemented
12#13080359C211yesmaximal, characteristic, complemented
13#13080274C211yesmaximal, characteristic, complemented
14#13080264C211yesmaximal, characteristic, complemented
15#13080191C211yesmaximal, characteristic, complemented
16#13080191C211yesmaximal, characteristic, complemented
17#13080191C211yesmaximal, characteristic, complemented
18#13080176C211yesmaximal, characteristic, complemented
19#13079727C211yesmaximal, characteristic, complemented
20#13079701C211yesmaximal, characteristic, complemented
21#13079511C211yesmaximal, characteristic, complemented
22#13079500C211yesmaximal, characteristic, complemented
23#13079448C211yesmaximal, characteristic, complemented
24#13079409C211yesmaximal, characteristic, complemented
25#13078917C211yesmaximal, characteristic, complemented
26#13078847C211yesmaximal, characteristic, complemented
27#13077934C211yesmaximal, characteristic, complemented
28#13077913C211yesmaximal, characteristic, complemented
29#13077853C211yesmaximal, characteristic, complemented
30C2×#10622352C211yesmaximal, characteristic, complemented
31C11×#2976C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C23×Dic22C2211yescharacteristic
34C11×#525C2211yescharacteristic
35#10623364C2211yescharacteristic
36#10623356C2211yescharacteristic
37#10623356C2211yescharacteristic
38#10623322C2211yescharacteristic
39#10623322C2211yescharacteristic
40C2×#66977C2211yescharacteristic
41C2×#66962C2211yescharacteristic
42C2×#66962C2211yescharacteristic
43C2×#66962C2211yescharacteristic, complemented
44C2×#66962C2211yescharacteristic, complemented
45C22×Dic44C2211yescharacteristic
46C22×Dic44C2211yescharacteristic
47C22×Dic44C2211yescharacteristic, complemented
48C2×#66957C2211yescharacteristic, complemented
49#10623193—21no—
50#10623191—21no—
51#10623179—21no—
52#10623179—21no—
53#10623177—21no—
54#10623167—21no—
55#10623163—21no—
56#10623163—21no—
57#10623152—21no—
58#10623132—21no—
59#10623129—21no—
60#10623129—21no—
61#10623124—21no—
62#10623124—21no—
63#10623117—21no—
64#10623117—21no—
65#10623096C2211yescharacteristic
66#10623083C2211yescharacteristic
67#10623083C2211yescharacteristic
68#10623083C2211yescharacteristic
69#10623083C2211yescharacteristic
70#10623083C2211yescharacteristic
71#10623083C2211yescharacteristic
72#10623082C2211yescharacteristic
73#10623074C2211yescharacteristic
74#10623073C2211yescharacteristic
75#10623072C2211yescharacteristic
76D4×Dic22C2211yescharacteristic
77D4×Dic22C2211yescharacteristic
78D4×Dic22C2211yescharacteristic
79D4×Dic22C2211yescharacteristic
80D4×Dic22C2211yescharacteristic
81#10623065C2211yescharacteristic
82#10623057C2211yescharacteristic
83#10623049C2211yescharacteristic
84#10623047C2211yescharacteristic
85C11×#436C2211yescharacteristic
86C11×#436C2211yescharacteristic
87C11×#435C2211yescharacteristic
88C11×#435C2211yescharacteristic
89C11×#435C2211yescharacteristic
90C11×#435C2211yescharacteristic
91C8×D4×C11C2211yescharacteristic
92C8×D4×C11C2211yescharacteristic
93C11×#433C2211yescharacteristic
94C11×#433C2211yescharacteristic
95C11×#408C2211yescharacteristic
96C11×#408C2211yescharacteristic
97C11×#407C2211yescharacteristic
98C2×C11×C22⋊C8C2211yescharacteristic
99#10622750C2211yescharacteristic
100#10622750C2211yescharacteristic
101#10622750C2211yescharacteristic, complemented
102#10622750C2211yescharacteristic, complemented
103#10622750C2211yescharacteristic, complemented
104#10622747C2211yescharacteristic
105#10622747C2211yescharacteristic
106#10622747C2211yescharacteristic, complemented
107#10622746C2211yescharacteristic, complemented
108#10622733C2211yescharacteristic
109#10622733C2211yescharacteristic
110#10622733C2211yescharacteristic, complemented
111#10622729C2211yescharacteristic
112#10622729C2211yescharacteristic, complemented
113#10622729C2211yescharacteristic, complemented
114#10622729C2211yescharacteristic, complemented
115#10622728C2211yescharacteristic
116#10622727C2211yescharacteristic
117#10622727C2211yescharacteristic
118#10622727C2211yescharacteristic, complemented
119#10622726C2211yescharacteristic, complemented
120C2×#66880C2211yescharacteristic
121C2×#66880C2211yescharacteristic
122C2×#66880C2211yescharacteristic, complemented
123#10622464C2211yescharacteristic, complemented
124#10622463C2211yescharacteristic, complemented
125#10622462C2211yescharacteristic, complemented
126#10622462C2211yescharacteristic, complemented
127#10622462C2211yescharacteristic, complemented
128#10622462C2211yescharacteristic, complemented
129#10622462C2211yescharacteristic, complemented
130#10622458C2211yescharacteristic, complemented
131#10622458C2211yescharacteristic, complemented
132#10622458C2211yescharacteristic, complemented
133#10622458C2211yescharacteristic, complemented
134#10622458C2211yescharacteristic, complemented
135#10622457C2211yescharacteristic, complemented
136#10622454C2211yescharacteristic, complemented
137#10622442C2211yescharacteristic, complemented
138#10622442C2211yescharacteristic, complemented
139#10622352C2211yescharacteristic
140#10622352C2211yescharacteristic
141#10622352C2211yescharacteristic
142#10622352C2211yescharacteristic
143#10622352C2211yescharacteristic
144#10622352C2211yescharacteristic
145#10622352C2211yescharacteristic
146#10622352C2211yescharacteristic
147#10622352C2211yescharacteristic
148#10622352C2211yescharacteristic
149#10622352C2211yescharacteristic
150#10622352C2211yescharacteristic
151#10622352C2211yescharacteristic
152#10622352C2211yescharacteristic, complemented
153#10622352C2211yescharacteristic, complemented
154#10622352C2211yescharacteristic, complemented
155#10622352C2211yescharacteristic, complemented
156#10622352C2211yescharacteristic, complemented
157#10622351C2211yescharacteristic
158#10622351C2211yescharacteristic
159#10622351C2211yescharacteristic
160#10622351C2211yescharacteristic
161#10622351C2211yescharacteristic
162#10622351C2211yescharacteristic, complemented
163#10622350C2211yescharacteristic
164#10622350C2211yescharacteristic
165#10622348C2211yescharacteristic
166#10622347C2211yescharacteristic
167#10622347C2211yescharacteristic
168#10622347C2211yescharacteristic, complemented
169#10622346C2211yescharacteristic
170#10622346C2211yescharacteristic
171#10622346C2211yescharacteristic
172#10622346C2211yescharacteristic
173#10622346C2211yescharacteristic, complemented
174#10622346C2211yescharacteristic, complemented
175#10622346C2211yescharacteristic, complemented
176#10622346C2211yescharacteristic, complemented
177#10622346C2211yescharacteristic, complemented
178#10622336C2211yescharacteristic
179#10622336C2211yescharacteristic
180#10622336C2211yescharacteristic
181#10622336C2211yescharacteristic
182#10622336C2211yescharacteristic, complemented
183#10622336C2211yescharacteristic, complemented
184#10622335C2211yescharacteristic
185#10622335C2211yescharacteristic, complemented
186#10622334C2211yescharacteristic, complemented
187#10622329C2211yescharacteristic, complemented
188#10622329C2211yescharacteristic, complemented
189#10622329C2211yescharacteristic, complemented
190#10622328C2211yescharacteristic, complemented
191#10622328C2211yescharacteristic, complemented
192#10622327C2211yescharacteristic, complemented
193#10622323C2211yescharacteristic, complemented
194#10622316C2211yescharacteristic, complemented
195#10622312C2211yescharacteristic, complemented
196C4×Dic44C2211yescharacteristic, complemented
197C4×Dic44C2211yescharacteristic, complemented
198C4×Dic44C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200#10622309C2211yescharacteristic, complemented
201C4×#4314C2211yescharacteristic, complemented
202#10622294C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C23×Dic11—21no—
206#67043—42no—
207#67043—42no—
208C2×Q8×D11—21no—
209C2×#4341—21no—
210C2×#4341—21no—
211C2×#4341—21no—
212C2×#4339C2311yescharacteristic
213C2×#4339C2311yescharacteristic
214C2×#4339C2311yescharacteristic
215C2×#4339C2311yescharacteristic
216C2×#4339C2311yescharacteristic
217C22×Dic22—21no—
218C22×Dic22—21no—
219C22×Dic22—21no—
220C22×Dic22—42no—
221C22×Dic22—42no—
222C22×Dic22C2311yescharacteristic
223C22×Dic22C2311yescharacteristic
224C22×Dic22C2311yescharacteristic
225C22×Dic22C2311yescharacteristic
226C22×Dic22C2311yescharacteristic
227C22×Dic22C2311yescharacteristic
228C22×Dic22C2311yescharacteristic
229C22×Dic22C2311yescharacteristic
230C22×Dic22C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C2×C11×M16C2311yescharacteristic
233C2×C11×M16C2311yescharacteristic
234C2×C11×M16C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C22×C8×C11C2311yescharacteristic
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—
254#67006—21no—
255C2×C22⋊Dic11—21no—
256#66999—21no—
257#66997—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#66989—21no—
271#66989—21no—
272#66989—21no—
273#66988—21no—
274#66988—21no—
275#66988—21no—
276#66988—21no—
277#66988—21no—
278D4×Dic11—21no—
279D4×Dic11—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—
290#66982—21no—
291C4×C22⋊D11—21no—
292C4×C22⋊D11—21no—
293C4×C22⋊D11—21no—
294C4×C22⋊D11—21no—
295#66979C2311yescharacteristic
296#66979C2311yescharacteristic
297#66979C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300#66977—21no—
301#66977—21no—
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
316#66977C2311yescharacteristic
317C2×Dic11⋊C4—21no—
318#66962—42no—
319#66962—42no—
320#66962—42no—
321#66962—42no—
322C2×Dic44—42no—
323C2×Dic44—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
337C2×Dic44C2311yescharacteristic
338C2×Dic44C2311yescharacteristic
339C2×Dic44C2311yescharacteristic
340#66957—42no—
341C2×D88C2311yescharacteristic
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#66949—21no—
360#66949—21no—
361C4⋊C4×D11—21no—
362#66943—21no—
363#66942—21no—
364#66942—21no—
365#66942—21no—
366#66941—21no—
367#66941—21no—
368#66941—21no—
369#66941—21no—
370#66941—21no—
371#66940—21no—
372#66940—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#66938—21no—
382#66938—21no—
383#66936—21no—
384#66936—21no—
385#66936—21no—
386#66936—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)⋊C4—21no—
393(C22⋊D11)⋊C4—21no—
394#66932—21no—
395#66932—21no—
396#66932—21no—
397#66932—21no—
398#66932—21no—
399#66931—21no—
400#66931—21no—
401#66931—21no—
402#66931—21no—
403#66931—21no—
404#66931—21no—
405#66931—21no—
406#66931—21no—
407#66931—21no—
408#66931—21no—
409#66931—21no—
410#66931—21no—
411#66930—21no—
412#66930—21no—
413#66930—21no—
414#66928C2311yescharacteristic
415#66928C2311yescharacteristic
416#66928C2311yescharacteristic
417C4×D44C2311yescharacteristic
418#66923C2311yescharacteristic
419#66922C2311yescharacteristic
420#66922C2311yescharacteristic
421#66922C2311yescharacteristic
422#66922C2311yescharacteristic
423C4×Dic22C2311yescharacteristic
424C4×Dic22C2311yescharacteristic
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#66882C2311yescharacteristic
457#66882C2311yescharacteristic
458#66882C2311yescharacteristic
459#66882C2311yescharacteristic
460#66881C2311yescharacteristic
461#66881C2311yescharacteristic
462#66881C2311yescharacteristic
463#66881C2311yescharacteristic
464#66880C2311yescharacteristic
465#66880C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
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#61612—111nomaximal, Sylow
491C24×C11C2×D411yescharacteristic
492C11×#41—41no—
493C11×#41—41no—
494C2×Q8×C11C2×D411yescharacteristic
495C2×D4×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
502C22×C4×C11—41no—
503C22×C4×C11—41no—
504C22×C4×C11C2×D411yescharacteristic
505C22×C4×C11C2×D411yescharacteristic
506C22×C4×C11C2×D411yescharacteristic
507C22×C4×C11C2411yescharacteristic
508C22×C4×C11C2411yescharacteristic
509C22×C4×C11C2411yescharacteristic
510C22×C4×C11C2411yescharacteristic
511C22×C4×C11C2411yescharacteristic
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—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C22×Dic11—21no—
523C22×Dic11—21no—
524C22×Dic11—21no—
525C22×Dic11—21no—
526C22×Dic11—21no—
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11—21no—
534C22×Dic11—44no—
535Q8×D11—44no—
536#4341—44no—
537#4341—44no—
538#4341—44no—
539#4339—22no—
540#4339—22no—
541#4339—41no—
542#4339—41no—
543#4339—41no—
544#4339—41no—
545#4339—41no—
546#4339—41no—
547#4339—41no—
548#4339—41no—
549C2×D44C2411yescharacteristic
550C2×D44C2411yescharacteristic
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×Dic22—22no—
558C2×Dic22—22no—
559C2×Dic22—22no—
560C2×Dic22—22no—
561C2×Dic22—22no—
562C2×Dic22—22no—
563C2×Dic22—22no—
564C2×Dic22—22no—
565C2×Dic22—21no—
566C2×Dic22—21no—
567C2×Dic22—21no—
568C2×Dic22—21no—
569C2×Dic22—21no—
570C2×Dic22—21no—
571C2×Dic22—21no—
572C2×Dic22—21no—
573C2×Dic22—21no—
574C2×Dic22—21no—
575C2×Dic22—21no—
576C2×Dic22—41no—
577C2×Dic22—41no—
578C2×Dic22—41no—
579C2×Dic22—41no—
580C2×Dic22—41no—
581C2×Dic22—41no—
582C2×Dic22—41no—
583C2×Dic22—41no—
584C2×Dic22—41no—
585C2×Dic22—41no—
586C2×Dic22—41no—
587C2×Dic22—41no—
588C2×Dic22—44no—
589C2×Dic22—44no—
590C2×Dic22—44no—
591C2×Dic22C2411yescharacteristic
592C2×Dic22C2411yescharacteristic
593C2×Dic22C2411yescharacteristic
594C2×Dic22C2411yescharacteristic
595C2×Dic22C2411yescharacteristic
596C2×Dic22C2411yescharacteristic
597C2×Dic22C2411yescharacteristic
598C2×Dic22C2411yescharacteristic
599C11×M16—41no—
600C11×M16—41no—
601C11×M16—41no—
602C11×M16—41no—
603C2×C8×C11—41no—
604C2×C8×C11—41no—
605C2×C8×C11—41no—
606C2×C8×C11—41no—
607C2×C8×C11C2411yescharacteristic
608C2×C8×C11C2411yescharacteristic
609C2×C8×C11C2411yescharacteristic
610C2×C8×C11C2411yescharacteristic
611C2×C8×C11C2411yescharacteristic
612C2×C8×C11C2411yescharacteristic
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C11×C4⋊C4C2×D411yescharacteristic
616C11×C4⋊C4C2×D411yescharacteristic
617C11×C4⋊C4C2×D411yescharacteristic
618C11×C4⋊C4C2×D411yescharacteristic
619C11×C4⋊C4C2×D411yescharacteristic
620C11×C4⋊C4C2×D411yescharacteristic
621C11×C22⋊C4C2×D411yescharacteristic
622C11×C22⋊C4C2×D411yescharacteristic
623C11×C22⋊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
631C42×C11C2411yescharacteristic
632C42×C11C2411yescharacteristic
633C22⋊Dic11—21no—
634C22⋊Dic11—21no—
635C22⋊Dic11—21no—
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—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—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—
663C4⋊Dic11—21no—
664C4⋊Dic11—21no—
665C4⋊Dic11—21no—
666C4⋊Dic11—21no—
667C4⋊Dic11—21no—
668C4⋊Dic11—21no—
669C4⋊Dic11—21no—
670C4⋊Dic11—21no—
671C4⋊Dic11—21no—
672C4⋊Dic11C2411yescharacteristic
673C4⋊Dic11C2411yescharacteristic
674C4⋊Dic11C2411yescharacteristic
675C4⋊Dic11C2411yescharacteristic
676C4⋊Dic11C2411yescharacteristic
677C4⋊Dic11C2411yescharacteristic
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
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—
702C4×Dic11—21no—
703C4×Dic11—21no—
704C4×Dic11—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—22no—
716Dic44—22no—
717Dic44—22no—
718Dic44—41no—
719Dic44—41no—
720Dic44—41no—
721Dic44—41no—
722Dic44—41no—
723Dic44—41no—
724Dic44—41no—
725Dic44—41no—
726Dic44—41no—
727D88—41no—
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#3486—111no—
738#3328—111no—
739#3327—111no—
740#3320—111no—
741#3316—111no—
742#3313—111no—
743#3312—111no—
744#3301—111no—
745#3299—111no—
746D4×Q16—111no—
747#3285—111no—
748#3277—111no—
749#3276—111no—
750#3270—111no—
751#3270—111no—
752#3270—111no—
753#3269—111no—
754#3225—111no—
755#3223—111no—
756#3202—111no—
757#3201—111no—
758#3196—111no—
759#3191—111no—
760#3127—111no—
761#3121—111no—
762#3013—111no—
763#3011—111no—
764#3004—111no—
765C2×#451—111no—
766#2976D1111yescharacteristic, complemented
767C23×C11—22no—
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—
777Q8×C11—41no—
778D4×C11—22no—
779D4×C11—22no—
780D4×C11—41no—
781D4×C11—41no—
782D4×C11—41no—
783D4×C11—41no—
784D4×C11—41no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
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—41no—
796C2×C4×C11—41no—
797C2×C4×C11—41no—
798C2×C4×C11C22×D411yescharacteristic
799C2×C4×C11C22×D411yescharacteristic
800C2×C4×C11C22×D411yescharacteristic
801C2×C4×C11C22×D411yescharacteristic
802C2×C4×C11C22×D411yescharacteristic
803C2×C4×C11C22×D411yescharacteristic
804C2×C4×C11C22×D411yescharacteristic
805C2×C4×C11C22×D411yescharacteristic
806C2×C4×C11C22×D411yescharacteristic
807C2×C4×C11C2511yescharacteristic
808C22⋊D11—42no—
809C22⋊D11—42no—
810C22⋊D11—42no—
811C22⋊D11—42no—
812C22⋊D11—42no—
813C22⋊D11—42no—
814C22⋊D11—81no—
815C22⋊D11—81no—
816C22⋊D11—81no—
817C22⋊D11—81no—
818C2×Dic11—24no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
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—42no—
834C2×Dic11—42no—
835C2×Dic11—42no—
836C2×Dic11—42no—
837C2×Dic11—42no—
838C2×Dic11—42no—
839C2×Dic11—42no—
840C2×Dic11—81no—
841C2×Dic11—81no—
842C2×Dic11—81no—
843C2×Dic11—81no—
844D44—21no—
845D44—21no—
846D44—21no—
847D44—21no—
848C4×D11—42no—
849C4×D11—42no—
850C4×D11—42no—
851C4×D11—81no—
852C4×D11—81no—
853C4×D11—81no—
854Dic22—24no—
855Dic22—21no—
856Dic22—21no—
857Dic22—21no—
858Dic22—21no—
859Dic22—21no—
860Dic22—21no—
861Dic22—21no—
862Dic22—21no—
863Dic22—21no—
864Dic22—21no—
865Dic22—21no—
866Dic22—21no—
867Dic22—21no—
868Dic22—21no—
869Dic22—42no—
870Dic22—42no—
871Dic22—42no—
872Dic22—42no—
873Dic22—42no—
874Dic22—42no—
875Dic22—42no—
876Dic22—81no—
877Dic22—81no—
878Dic22—81no—
879Dic22H(5,𝔽2)12yes—
880Dic22H(5,𝔽2)12yes—
881C8×C11—21no—
882C8×C11—21no—
883C8×C11—21no—
884C8×C11—21no—
885C8×C11—21no—
886C8×C11—21no—
887C8×C11—21no—
888C8×C11—21no—
889C2×2−1+4—111no—
890C23×Q8—111no—
891C2×#137—111no—
892C2×#137—111no—
893C2×#137—111no—
894C2×#137—111no—
895C2×#135—111no—
896C22×Q16—111no—
897C22×Q16—111no—
898C22×Q16—111no—
899#563—221no—
900#562—221no—
901#556—111no—
902#554—111no—
903#554—221no—
904#553—111no—
905#553—221no—
906#552—111no—
907D4×Q8—111no—
908D4×Q8—111no—
909D4×Q8—111no—
910D4×Q8—111no—
911D4×Q8—111no—
912D4×Q8—221no—
913D4×Q8—221no—
914#548—111no—
915#548—111no—
916#548—111no—
917#548—111no—
918#548—111no—
919#548—111no—
920#548—221no—
921#548—221no—
922#547—111no—
923#542—111no—
924#542—221no—
925#541—111no—
926#539—221no—
927#538—221no—
928#538—221no—
929#537—111no—
930#536—111no—
931#536—111no—
932#536—111no—
933#536—221no—
934#536—221no—
935#525—111no—
936#525—111no—
937#525—221no—
938#525—221no—
939#525C2×D1111yescharacteristic
940C2×C22⋊Q8—111no—
941#519—111no—
942#497—111no—
943#497—111no—
944#495—111no—
945#494—111no—
946#491—111no—
947#489—111no—
948#488—111no—
949#487—111no—
950#485—111no—
951#485—111no—
952#485—111no—
953#485—111no—
954#485—111no—
955#485—111no—
956#484—111no—
957#484—111no—
958#483—111no—
959#482—111no—
960#482—111no—
961#481—111no—
962#479—111no—
963#479—111no—
964#477—111no—
965#475—111no—
966#470—111no—
967#470—111no—
968#470—111no—
969#470—111no—
970#470—111no—
971#468—111no—
972#468—111no—
973#468—111no—
974#467—111no—
975#467—111no—
976#467—111no—
977#467—111no—
978#466—111no—
979#465—111no—
980#465—111no—
981#465—111no—
982#464—111no—
983#464—111no—
984#464—111no—
985#464—111no—
986#464—111no—
987#463—111no—
988#462—111no—
989#462—111no—
990#462—111no—
991#462—111no—
992#462—111no—
993#461—111no—
994#452—111no—
995#452—111no—
996#452—111no—
997#452—111no—
998#452—111no—
999#452—111no—
1000#452—111no—
1001#452—111no—
1002#452—111no—
1003#451—111no—
1004#451—111no—
1005#451—111no—
1006#451—111no—
1007#451—111no—
1008#451—111no—
1009#451—111no—
1010#451—111no—
1011#451—111no—
1012#451—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#449—111no—
1022#449—111no—
1023#449—111no—
1024#448—111no—
1025#448—111no—
1026#448—111no—
1027#448—111no—
1028#448—111no—
1029#448—111no—
1030#441—111no—
1031#441—111no—
1032#441—111no—
1033#440—111no—
1034C4×Q16—111no—
1035C4×Q16—111no—
1036C4×Q16—111no—
1037C4×SD16—111no—
1038#436C2×D1111yescharacteristic
1039#436C2×D1111yescharacteristic
1040#435C2×D1111yescharacteristic
1041#435C2×D1111yescharacteristic
1042#435C2×D1111yescharacteristic
1043#435C2×D1111yescharacteristic
1044C8×D4C2×D1111yescharacteristic
1045C8×D4C2×D1111yescharacteristic
1046#433C2×D1111yescharacteristic
1047#433C2×D1111yescharacteristic
1048#419—111no—
1049#419—111no—
1050#419—111no—
1051#417—111no—
1052#416—111no—
1053C2×#103—111no—
1054C2×#103—111no—
1055C2×#103—111no—
1056#408C2×D1111yescharacteristic
1057#408C2×D1111yescharacteristic
1058#407C2×D1111yescharacteristic
1059C2×C22⋊C8C2×D1111yescharacteristic
1060C22×C11—21no—
1061C22×C11—21no—
1062C22×C11—21no—
1063C22×C11—21no—
1064C22×C11—21no—
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—44no—
1075C22×C11#57812yes—
1076C22×C11C23×D411yescharacteristic
1077C2×D11—41no—
1078C2×D11—41no—
1079C2×D11—41no—
1080C2×D11—41no—
1081C2×D11—41no—
1082C2×D11—41no—
1083C4×C11—21no—
1084C4×C11—21no—
1085C4×C11—21no—
1086C4×C11—21no—
1087C4×C11—21no—
1088C4×C11—21no—
1089C4×C11—21no—
1090C4×C11—21no—
1091C4×C11—21no—
1092C4×C11C2×H(5,𝔽2)11yescharacteristic
1093C4×C11C2×H(5,𝔽2)11yescharacteristic
1094Dic11—22no—
1095Dic11—22no—
1096Dic11—41no—
1097Dic11—41no—
1098Dic11—41no—
1099Dic11—41no—
1100Dic11—41no—
1101Dic11—41no—
1102Dic11—41no—
1103Dic11—41no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11—41no—
11082−1+4—442no—
11092−1+4—442no—
1110C2×#41—111no—
1111C2×#41—111no—
1112C2×#41—111no—
1113C2×#41—111no—
1114C2×#41—111no—
1115C2×#41—221no—
1116C2×#41—221no—
1117C2×#41—221no—
1118C2×#41C22×D1111yescharacteristic
1119C22×Q8—111no—
1120C22×Q8—111no—
1121C22×Q8—111no—
1122C22×Q8—111no—
1123C22×Q8—111no—
1124C22×Q8—111no—
1125C22×Q8—111no—
1126C22×Q8—111no—
1127C22×Q8—111no—
1128C22×Q8—111no—
1129C22×Q8—221no—
1130C22×Q8—221no—
1131C22×Q8—221no—
1132C22×Q8—221no—
1133C22×Q8—442no—
1134C22×Q8—442no—
1135C23×C4—221no—
1136C23×C4C22×D1111yescharacteristic
1137#137—442no—
1138#137—442no—
1139#137—442no—
1140#137—442no—
1141#135—442no—
1142C2×Q16—111no—
1143C2×Q16—111no—
1144C2×Q16—111no—
1145C2×Q16—111no—
1146C2×Q16—111no—
1147C2×Q16—111no—
1148C2×Q16—111no—
1149C2×Q16—111no—
1150C2×Q16—111no—
1151C2×Q16—111no—
1152C2×Q16—111no—
1153C2×Q16—111no—
1154C2×Q16—111no—
1155C2×Q16—111no—
1156C2×Q16—111no—
1157C2×Q16—442no—
1158C2×Q16—442no—
1159C2×Q16—442no—
1160C2×SD16—111no—
1161C2×SD16—111no—
1162C2×SD16—111no—
1163C2×SD16—111no—
1164C2×SD16—111no—
1165C2×SD16—111no—
1166C2×SD16—111no—
1167C2×SD16—111no—
1168C2×D8—111no—
1169C2×M16C22×D1111yescharacteristic
1170C2×M16C22×D1111yescharacteristic
1171C2×M16C22×D1111yescharacteristic
1172C2×M16C22×D1111yescharacteristic
1173C22×C8C22×D1111yescharacteristic
1174C22×C8C22×D1111yescharacteristic
1175C22×C8C22×D1111yescharacteristic
1176C22×C8C22×D1111yescharacteristic
1177C4⋊Q8—111no—
1178C4⋊Q8—111no—
1179C4⋊Q8—111no—
1180C4⋊Q8—111no—
1181C4⋊Q8—221no—
1182C4⋊Q8—221no—
1183C4⋊Q8—221no—
1184C4⋊Q8—221no—
1185C4⋊Q8—221no—
1186C4⋊Q8—221no—
1187C4⋊Q8—221no—
1188#126—221no—
1189#126—221no—
1190#126—221no—
1191#126—221no—
1192#126—221no—
1193#126—221no—
1194#126—221no—
1195#125—111no—
1196#125—221no—
1197#125—221no—
1198#125—221no—
1199#125—221no—
1200#124—111no—
1201#124—111no—
1202#124—111no—
1203#124—221no—
1204#124—221no—
1205#124—221no—
1206#124—221no—
1207#124—221no—
1208#124—221no—
1209#124—221no—
1210#124—221no—
1211#124—221no—
1212#124—221no—
1213#123—221no—
1214#123—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#123D4411yescharacteristic
1227#123D4411yescharacteristic
1228C22⋊Q8—111no—
1229C22⋊Q8—111no—
1230C22⋊Q8—111no—
1231C22⋊Q8—111no—
1232C22⋊Q8—111no—
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—221no—
1244C22⋊Q8—221no—
1245C22⋊Q8—221no—
1246C22⋊Q8—221no—
1247C22⋊Q8—221no—
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⋊Q8D4411yescharacteristic
1268C22⋊Q8D4411yescharacteristic
1269#121—111no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—221no—
1275#121—221no—
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#121D4411yescharacteristic
1286#121D4411yescharacteristic
1287#120—221no—
1288#120—221no—
1289#120D4411yescharacteristic
1290#120D4411yescharacteristic
1291C4×Q8—111no—
1292C4×Q8—111no—
1293C4×Q8—111no—
1294C4×Q8—111no—
1295C4×Q8—111no—
1296C4×Q8—111no—
1297C4×Q8—111no—
1298C4×Q8—221no—
1299C4×Q8—221no—
1300C4×Q8—221no—
1301C4×D4—111no—
1302C4×D4—221no—
1303C4×D4—221no—
1304C4×D4—221no—
1305C4×D4—221no—
1306C4×D4—221no—
1307C4×D4—221no—
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×D4C22×D1111yescharacteristic
1320C4×D4C22×D1111yescharacteristic
1321C4×D4C22×D1111yescharacteristic
1322C4×D4C22×D1111yescharacteristic
1323#117—111no—
1324#117—111no—
1325#117—111no—
1326#117—221no—
1327#117—221no—
1328#117—221no—
1329#117C22×D1111yescharacteristic
1330C2×C4⋊C4—111no—
1331C2×C4⋊C4—111no—
1332C2×C4⋊C4—221no—
1333C2×C4⋊C4—221no—
1334C2×C22⋊C4—221no—
1335#107—111no—
1336#107—111no—
1337#107—111no—
1338#107—111no—
1339#106—111no—
1340#106—111no—
1341#106—111no—
1342#106—111no—
1343C4⋊C8C22×D1111yescharacteristic
1344C4⋊C8C22×D1111yescharacteristic
1345C4⋊C8C22×D1111yescharacteristic
1346C4⋊C8C22×D1111yescharacteristic
1347#103—111no—
1348#103—111no—
1349#103—111no—
1350#103—111no—
1351#103—111no—
1352#103—111no—
1353#103—111no—
1354#103—111no—
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#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379C22⋊C8C22×D1111yescharacteristic
1380C22⋊C8C22×D1111yescharacteristic
1381C22⋊C8C22×D1111yescharacteristic
1382C22⋊C8C22×D1111yescharacteristic
1383C22⋊C8C22×D1111yescharacteristic
1384C22⋊C8C22×D1111yescharacteristic
1385C22⋊C8C22×D1111yescharacteristic
1386C22⋊C8C22×D1111yescharacteristic
1387C22⋊C8C22×D1111yescharacteristic
1388C22⋊C8C22×D1111yescharacteristic
1389C22⋊C8C22×D1111yescharacteristic
1390C22⋊C8C22×D1111yescharacteristic
1391#97C22×D1111yescharacteristic
1392#97C22×D1111yescharacteristic
1393C4×C8C22×D1111yescharacteristic
1394C4×C8C22×D1111yescharacteristic
1395C2×C11—22no—
1396C2×C11—41no—
1397C2×C11—41no—
1398C2×C11—41no—
1399C2×C11—41no—
1400C2×C11#348411yescharacteristic
1401C2×C11C2×#57811yescharacteristic
1402C2×C11#358611yescharacteristic
1403D11—81no—
1404D11—81no—
1405C24C2×D4411yescharacteristic
1406#41—41no—
1407#41—41no—
1408#41—222no—
1409#41—222no—
1410#41—441no—
1411#41—441no—
1412#41—441no—
1413#41—441no—
1414#41—441no—
1415#41—441no—
1416#41—441no—
1417#41—441no—
1418#41—444no—
1419#41—444no—
1420#41—444no—
1421C2×Q8—111no—
1422C2×Q8—111no—
1423C2×Q8—111no—
1424C2×Q8—111no—
1425C2×Q8—111no—
1426C2×Q8—111no—
1427C2×Q8—111no—
1428C2×Q8—111no—
1429C2×Q8—222no—
1430C2×Q8—222no—
1431C2×Q8—222no—
1432C2×Q8—222no—
1433C2×Q8—222no—
1434C2×Q8—222no—
1435C2×Q8—222no—
1436C2×Q8—222no—
1437C2×Q8—221no—
1438C2×Q8—221no—
1439C2×Q8—221no—
1440C2×Q8—221no—
1441C2×Q8—221no—
1442C2×Q8—221no—
1443C2×Q8—221no—
1444C2×Q8—221no—
1445C2×Q8—221no—
1446C2×Q8—221no—
1447C2×Q8—221no—
1448C2×Q8—441no—
1449C2×Q8—441no—
1450C2×Q8—441no—
1451C2×Q8—441no—
1452C2×Q8—441no—
1453C2×Q8—441no—
1454C2×Q8—441no—
1455C2×Q8—441no—
1456C2×Q8—441no—
1457C2×Q8—441no—
1458C2×Q8—441no—
1459C2×Q8—441no—
1460C2×Q8—444no—
1461C2×Q8—444no—
1462C2×Q8—444no—
1463C2×Q8—444no—
1464C2×Q8C2×D4411yescharacteristic
1465C2×D4—111no—
1466C2×D4—111no—
1467C2×D4—221no—
1468C2×D4—221no—
1469C2×D4—221no—
1470C2×D4—221no—
1471C2×D4—221no—
1472C2×D4—221no—
1473C2×D4—221no—
1474C2×D4—221no—
1475C2×D4—221no—
1476C2×D4—221no—
1477C2×D4C2×D4411yescharacteristic
1478C2×D4C2×D4411yescharacteristic
1479C2×D4C2×D4411yescharacteristic
1480C2×D4C2×D4411yescharacteristic
1481C2×D4C2×D4411yescharacteristic
1482C2×D4C2×D4411yescharacteristic
1483C2×D4C2×D4411yescharacteristic
1484C22×C4—41no—
1485C22×C4—41no—
1486C22×C4—221no—
1487C22×C4—221no—
1488C22×C4—221no—
1489C22×C4—221no—
1490C22×C4—221no—
1491C22×C4—221no—
1492C22×C4—221no—
1493C22×C4—221no—
1494C22×C4—221no—
1495C22×C4—221no—
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—444no—
1505C22×C4C2×D4411yescharacteristic
1506C22×C4C2×D4411yescharacteristic
1507C22×C4C2×D4411yescharacteristic
1508C22×C4C23×D1111yescharacteristic
1509C22×C4C23×D1111yescharacteristic
1510C22×C4C23×D1111yescharacteristic
1511C22×C4C23×D1111yescharacteristic
1512C22×C4C23×D1111yescharacteristic
1513Q16—222no—
1514Q16—222no—
1515Q16—222no—
1516Q16—222no—
1517Q16—222no—
1518Q16—222no—
1519Q16—441no—
1520Q16—441no—
1521Q16—441no—
1522Q16—441no—
1523Q16—441no—
1524Q16—441no—
1525Q16—441no—
1526Q16—441no—
1527Q16—441no—
1528SD16—222no—
1529SD16—222no—
1530SD16—441no—
1531SD16—441no—
1532SD16—441no—
1533SD16—441no—
1534SD16—441no—
1535SD16—441no—
1536D8—441no—
1537M16—41no—
1538M16—41no—
1539M16—41no—
1540M16—41no—
1541C2×C8—41no—
1542C2×C8—41no—
1543C2×C8—41no—
1544C2×C8—41no—
1545C2×C8C23×D1111yescharacteristic
1546C2×C8C23×D1111yescharacteristic
1547C2×C8C23×D1111yescharacteristic
1548C2×C8C23×D1111yescharacteristic
1549C2×C8C23×D1111yescharacteristic
1550C2×C8C23×D1111yescharacteristic
1551C2×C8C23×D1111yescharacteristic
1552C2×C8C23×D1111yescharacteristic
1553C4⋊C4—111no—
1554C4⋊C4—111no—
1555C4⋊C4—111no—
1556C4⋊C4—111no—
1557C4⋊C4—111no—
1558C4⋊C4—111no—
1559C4⋊C4—221no—
1560C4⋊C4—221no—
1561C4⋊C4—221no—
1562C4⋊C4—221no—
1563C4⋊C4—221no—
1564C4⋊C4—221no—
1565C4⋊C4—221no—
1566C4⋊C4—221no—
1567C4⋊C4—221no—
1568C4⋊C4—221no—
1569C4⋊C4—221no—
1570C4⋊C4—221no—
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⋊C4C2×D4411yescharacteristic
1593C4⋊C4C2×D4411yescharacteristic
1594C4⋊C4C2×D4411yescharacteristic
1595C4⋊C4C2×D4411yescharacteristic
1596C4⋊C4C2×D4411yescharacteristic
1597C4⋊C4C2×D4411yescharacteristic
1598C22⋊C4—221no—
1599C22⋊C4—221no—
1600C22⋊C4—221no—
1601C22⋊C4—221no—
1602C22⋊C4—221no—
1603C22⋊C4—221no—
1604C22⋊C4—221no—
1605C22⋊C4—221no—
1606C22⋊C4—221no—
1607C22⋊C4—221no—
1608C22⋊C4—221no—
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⋊C4C2×D4411yescharacteristic
1629C22⋊C4C2×D4411yescharacteristic
1630C22⋊C4C2×D4411yescharacteristic
1631C22⋊C4C2×D4411yescharacteristic
1632C22⋊C4C2×D4411yescharacteristic
1633C22⋊C4C2×D4411yescharacteristic
1634C22⋊C4C2×D4411yescharacteristic
1635C22⋊C4C2×D4411yescharacteristic
1636C22⋊C4C2×D4411yescharacteristic
1637C22⋊C4C2×D4411yescharacteristic
1638C42—221no—
1639C42—221no—
1640C42—221no—
1641C42—221no—
1642C42—221no—
1643C42—221no—
1644C42—221no—
1645C42—221no—
1646C42—221no—
1647C42—221no—
1648C42C23×D1111yescharacteristic
1649C42C23×D1111yescharacteristic
1650C11#6161211yescharacteristic, complemented, Sylow
1651C23—22no—
1652C23—41no—
1653C23—41no—
1654C23—221no—
1655C23—221no—
1656C23C22×D4411yescharacteristic
1657C23C22×D4411yescharacteristic
1658C23C22×D4411yescharacteristic
1659C23C22×D4411yescharacteristic
1660C23C22×D4411yescharacteristic
1661Q8—41no—
1662Q8—112no—
1663Q8—112no—
1664Q8—224no—
1665Q8—221no—
1666Q8—221no—
1667Q8—221no—
1668Q8—221no—
1669Q8—221no—
1670Q8—221no—
1671Q8—221no—
1672Q8—221no—
1673Q8—221no—
1674Q8—221no—
1675Q8—221no—
1676Q8—221no—
1677Q8—221no—
1678Q8—221no—
1679Q8—442no—
1680Q8—442no—
1681Q8—442no—
1682Q8—442no—
1683Q8—442no—
1684Q8—442no—
1685Q8—442no—
1686Q8—881no—
1687Q8—881no—
1688Q8—881no—
1689D4—22no—
1690D4—22no—
1691D4—41no—
1692D4—41no—
1693D4—41no—
1694D4—41no—
1695D4—41no—
1696D4—221no—
1697D4—221no—
1698D4—221no—
1699D4—221no—
1700D4—442no—
1701D4—442no—
1702D4—442no—
1703D4—442no—
1704D4—442no—
1705D4—442no—
1706D4—881no—
1707D4—881no—
1708D4—881no—
1709D4—881no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—224no—
1724C2×C4—221no—
1725C2×C4—221no—
1726C2×C4—221no—
1727C2×C4—221no—
1728C2×C4—221no—
1729C2×C4—221no—
1730C2×C4—221no—
1731C2×C4—221no—
1732C2×C4—221no—
1733C2×C4—221no—
1734C2×C4—221no—
1735C2×C4—221no—
1736C2×C4—221no—
1737C2×C4—221no—
1738C2×C4—442no—
1739C2×C4—442no—
1740C2×C4—442no—
1741C2×C4—442no—
1742C2×C4—442no—
1743C2×C4—442no—
1744C2×C4—442no—
1745C2×C4—442no—
1746C2×C4—442no—
1747C2×C4—442no—
1748C2×C4—881no—
1749C2×C4—881no—
1750C2×C4—881no—
1751C2×C4—881no—
1752C2×C4—881no—
1753C2×C4—881no—
1754C2×C4—881no—
1755C2×C4C22×D4411yescharacteristic
1756C2×C4C22×D4411yescharacteristic
1757C2×C4C22×D4411yescharacteristic
1758C2×C4C22×D4411yescharacteristic
1759C2×C4C22×D4411yescharacteristic
1760C2×C4C22×D4411yescharacteristic
1761C2×C4C22×D4411yescharacteristic
1762C2×C4C22×D4411yescharacteristic
1763C2×C4C22×D4411yescharacteristic
1764C2×C4C24×D1111yescharacteristic
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—21no—
1770C8—21no—
1771C8—21no—
1772C8—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—21no—
1787C22—44no—
1788C22—441no—
1789C22—441no—
1790C22—441no—
1791C22—441no—
1792C22—441no—
1793C22—441no—
1794C22#1062328412yes—
1795C22C23×D4411yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—21no—
1802C4—21no—
1803C4—21no—
1804C4—21no—
1805C4—222no—
1806C4—222no—
1807C4—441no—
1808C4—441no—
1809C4—441no—
1810C4—441no—
1811C4—441no—
1812C4—441no—
1813C4—441no—
1814C4—441no—
1815C4—441no—
1816C4—441no—
1817C4—441no—
1818C4—441no—
1819C4D11×H(5,𝔽2)11yescharacteristic
1820C4D11×H(5,𝔽2)11yescharacteristic
1821C2—22no—
1822C2—41no—
1823C2—41no—
1824C2—41no—
1825C2—41no—
1826C2—881no—
1827C2—881no—
1828C2#1308225211yescharacteristic
1829C2C2×#1062328411yescharacteristic
1830C2#1308340411yescharacteristic
subgroupG/H
centerC22C23×D44
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#2976C2
socleC22×C11C23×D4
hypercenter#2976D11
hypocenterC11#61612
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #525 ◁ #2976

Complements

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

NH ≅ G/Ntype
1. #13082909C2semidirect
2. #13082263C2semidirect
3. #13080900C2semidirect
4. #13080886C2semidirect
5. #13080789C2semidirect
6. #13080729C2semidirect
7. #13080684C2semidirect
8. #13080669C2semidirect
9. #13080520C2semidirect
10. #13080493C2semidirect
11. D4×Dic44C2semidirect
12. #13080359C2semidirect
13. #13080274C2semidirect
14. #13080264C2semidirect
15. #13080191C2semidirect
16. #13080191C2semidirect
17. #13080191C2semidirect
18. #13080176C2semidirect
19. #13079727C2semidirect
20. #13079701C2semidirect
21. #13079511C2semidirect
22. #13079500C2semidirect
23. #13079448C2semidirect
24. #13079409C2semidirect
25. #13078917C2semidirect
26. #13078847C2semidirect
27. #13077934C2semidirect
28. #13077913C2semidirect
29. #13077853C2semidirect
30. C2×#10622352C2semidirect
31. C11×#2976C2semidirect
43. C2×#66962C22semidirect
44. C2×#66962C22semidirect
47. C22×Dic44C22semidirect
48. C2×#66957C22semidirect
101. #10622750C22semidirect
102. #10622750C22semidirect
103. #10622750C22semidirect
106. #10622747C22semidirect
107. #10622746C22semidirect
110. #10622733C22semidirect
112. #10622729C22semidirect
113. #10622729C22semidirect
114. #10622729C22semidirect
118. #10622727C22semidirect
119. #10622726C22semidirect
122. C2×#66880C22semidirect
123. #10622464C22semidirect
124. #10622463C22semidirect
125. #10622462C22semidirect
126. #10622462C22semidirect
127. #10622462C22semidirect
128. #10622462C22semidirect
129. #10622462C22semidirect
130. #10622458C22semidirect
131. #10622458C22semidirect
132. #10622458C22semidirect
133. #10622458C22semidirect
134. #10622458C22semidirect
135. #10622457C22semidirect
136. #10622454C22semidirect
137. #10622442C22semidirect
138. #10622442C22semidirect
152. #10622352C22semidirect
153. #10622352C22semidirect
154. #10622352C22semidirect
155. #10622352C22semidirect
156. #10622352C22semidirect
162. #10622351C22semidirect
168. #10622347C22semidirect
173. #10622346C22semidirect
174. #10622346C22semidirect
175. #10622346C22semidirect
176. #10622346C22semidirect
177. #10622346C22semidirect
182. #10622336C22semidirect
183. #10622336C22semidirect
185. #10622335C22semidirect
186. #10622334C22semidirect
187. #10622329C22semidirect
188. #10622329C22semidirect
189. #10622329C22semidirect
190. #10622328C22semidirect
191. #10622328C22semidirect
192. #10622327C22semidirect
193. #10622323C22semidirect
194. #10622316C22semidirect
195. #10622312C22semidirect
196. C4×Dic44C22semidirect
197. C4×Dic44C22semidirect
198. C4×Dic44C22semidirect
199. #10622310C22semidirect
200. #10622309C22semidirect
201. C4×#4314C22semidirect
202. #10622294C22semidirect
766. #2976D11semidirect
1650. C11#61612semidirect

Maximal subgroups

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

subgroupindex
#130829092
#130822632
#130809002
#130808862
#130807892
#130807292
#130806842
#130806692
#130805202
#130804932
D4×Dic442
#130803592
#130802742
#130802642
#130801912
#130801762
#130797272
#130797012
#130795112
#130795002
#130794482
#130794092
#130789172
#130788472
#130779342
#130779132
#130778532
C2×#106223522
C11×#29762
#6161211