Finite Group Databasebeta

← #15636639

Subgroups — #15636639

Order 2816.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082618C211yesmaximal, characteristic, complemented
2#13082567C211yesmaximal, characteristic, complemented
3#13081661C211yesmaximal, characteristic, complemented
4#13081532C211yesmaximal, characteristic, complemented
5#13081315C211yesmaximal, characteristic, complemented
6#13081246C211yesmaximal, characteristic, complemented
7#13081198C211yesmaximal, characteristic, complemented
8#13081113C211yesmaximal, characteristic, complemented
9#13081109C211yesmaximal, characteristic, complemented
10#13080569C211yesmaximal, characteristic, complemented
11#13080564C211yesmaximal, characteristic, complemented
12#13080553C211yesmaximal, characteristic, complemented
13#13080470C211yesmaximal, characteristic, complemented
14#13080463C211yesmaximal, characteristic, complemented
15#13080422C211yesmaximal, characteristic, complemented
16#13080234C211yesmaximal, characteristic, complemented
17#13080162C211yesmaximal, characteristic, complemented
18#13080154C211yesmaximal, characteristic, complemented
19#13079305C211yesmaximal, characteristic, complemented
20#13079301C211yesmaximal, characteristic, complemented
21#13079192C211yesmaximal, characteristic, complemented
22#13078880C211yesmaximal, characteristic, complemented
23#13078874C211yesmaximal, characteristic, complemented
24#13078856C211yesmaximal, characteristic, complemented
25#13078763C211yesmaximal, characteristic, complemented
26#13078763C211yesmaximal, characteristic, complemented
27#13077589C211yesmaximal, characteristic, complemented
28#13077448C211yesmaximal, characteristic, complemented
29#13077445C211yesmaximal, characteristic, complemented
30C4×#66965C211yesmaximal, characteristic, complemented
31C11×#3122C211yesmaximal, characteristic, complemented
32C11×#540C2211yescharacteristic, complemented
33C11×#518C2211yescharacteristic
34#10623337C2211yescharacteristic
35D4×C22⋊D11C2211yescharacteristic
36C2×#66985C2211yescharacteristic
37C2×#66965C2211yescharacteristic
38C2×#66964C2211yescharacteristic
39#10623249C2211yescharacteristic, complemented
40#10623249C2211yescharacteristic, complemented
41#10623226C2211yescharacteristic, complemented
42#10623216C2211yescharacteristic, complemented
43#10623194—21no—
44#10623192—21no—
45#10623186—21no—
46#10623180—21no—
47#10623149C2211yescharacteristic, complemented
48#10623146—21no—
49#10623142C2211yescharacteristic
50#10623132—21no—
51#10623130—21no—
52#10623130C2211yescharacteristic
53#10623130C2211yescharacteristic, complemented
54#10623127—21no—
55#10623094C2211yescharacteristic
56#10623093C2211yescharacteristic, complemented
57#10623092C2211yescharacteristic
58#10623091—21no—
59#10623090C2211yescharacteristic
60#10623087—21no—
61#10623085C2211yescharacteristic
62#10623083—21no—
63#10623079C2211yescharacteristic
64#10623079C2211yescharacteristic, complemented
65#10623077C2211yescharacteristic, complemented
66#10623076C2211yescharacteristic
67#10623069—21no—
68D4×Dic22C2211yescharacteristic
69C4×#4341C2211yescharacteristic
70C4×#4341C2211yescharacteristic, complemented
71#10623065C2211yescharacteristic
72#10623064C2211yescharacteristic
73#10623063C2211yescharacteristic
74#10623059C2211yescharacteristic
75#10623054C2211yescharacteristic, complemented
76#10623026—21no—
77#10623025—21no—
78C2×#66938—21no—
79#10623021—21no—
80C11×#482C2211yescharacteristic, complemented
81C11×#482C2211yescharacteristic, complemented
82C11×#478C2211yescharacteristic
83C11×#478C2211yescharacteristic, complemented
84C11×#459C2211yescharacteristic
85C11×#459C2211yescharacteristic, complemented
86C11×#447C2211yescharacteristic
87C11×#447C2211yescharacteristic
88C11×#442C2211yescharacteristic
89C11×#442C2211yescharacteristic, complemented
90C4×C11×D8C2211yescharacteristic
91C4×C11×D8C2211yescharacteristic, complemented
92C11×#433C2211yescharacteristic, complemented
93C2×#66896C2211yescharacteristic
94#10622771C2211yescharacteristic
95#10622771C2211yescharacteristic
96#10622771C2211yescharacteristic, complemented
97#10622770C2211yescharacteristic
98#10622770C2211yescharacteristic, complemented
99#10622769C2211yescharacteristic
100#10622767C2211yescharacteristic, complemented
101#10622766C2211yescharacteristic, complemented
102#10622764C2211yescharacteristic
103#10622763C2211yescharacteristic
104#10622763C2211yescharacteristic
105#10622763C2211yescharacteristic
106D8×Dic11C2211yescharacteristic
107D8×Dic11C2211yescharacteristic
108#10622687C2211yescharacteristic, complemented
109#10622683C2211yescharacteristic, complemented
110#10622681C2211yescharacteristic, complemented
111#10622678C2211yescharacteristic, complemented
112#10622655C2211yescharacteristic, complemented
113#10622654C2211yescharacteristic, complemented
114#10622652C2211yescharacteristic
115#10622651C2211yescharacteristic
116#10622631C2211yescharacteristic
117#10622631C2211yescharacteristic, complemented
118#10622631C2211yescharacteristic, complemented
119C4×#4324C2211yescharacteristic
120C4×#4324C2211yescharacteristic, complemented
121C4×#4324C2211yescharacteristic, complemented
122#10622627C2211yescharacteristic
123#10622627C2211yescharacteristic, complemented
124#10622627C2211yescharacteristic, complemented
125C4×#4323C2211yescharacteristic
126C4×#4323C2211yescharacteristic, complemented
127C4×#4323C2211yescharacteristic, complemented
128#10622615C2211yescharacteristic, complemented
129#10622610C2211yescharacteristic, complemented
130#10622608C2211yescharacteristic, complemented
131#10622504C2211yescharacteristic, complemented
132#10622498C2211yescharacteristic, complemented
133#10622497C2211yescharacteristic, complemented
134#10622496C2211yescharacteristic, complemented
135#10622493C2211yescharacteristic, complemented
136#10622488C2211yescharacteristic, complemented
137#10622487C2211yescharacteristic, complemented
138#10622486C2211yescharacteristic, complemented
139#10622479C2211yescharacteristic, complemented
140#10622479C2211yescharacteristic, complemented
141#10622477C2211yescharacteristic, complemented
142#10622474C2211yescharacteristic, complemented
143#10622469C2211yescharacteristic, complemented
144#10622467C2211yescharacteristic, complemented
145#10622467C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622463C2211yescharacteristic, complemented
148#10622459C2211yescharacteristic, complemented
149#10622458C2211yescharacteristic, complemented
150#10622457C2211yescharacteristic, complemented
151#10622449C2211yescharacteristic, complemented
152#10622447C2211yescharacteristic, complemented
153#10622443C2211yescharacteristic, complemented
154#10622441C2211yescharacteristic, complemented
155#10622399C2211yescharacteristic, complemented
156#10622398C2211yescharacteristic, complemented
157#10622397C2211yescharacteristic, complemented
158#10622397C2211yescharacteristic, complemented
159#10622397C2211yescharacteristic, complemented
160#10622396C2211yescharacteristic, complemented
161#10622395C2211yescharacteristic
162#10622394C2211yescharacteristic
163#10622394C2211yescharacteristic, complemented
164#10622393C2211yescharacteristic, complemented
165#10622388C2211yescharacteristic, complemented
166#10622388C2211yescharacteristic, complemented
167#10622387C2211yescharacteristic
168#10622386C2211yescharacteristic
169#10622385C2211yescharacteristic
170#10622385C2211yescharacteristic, complemented
171#10622385C2211yescharacteristic, complemented
172D11×#102C2211yescharacteristic
173#10622381C2211yescharacteristic, complemented
174#10622380C2211yescharacteristic, complemented
175#10622379C2211yescharacteristic
176#10622375C2211yescharacteristic
177#10622375C2211yescharacteristic, complemented
178#10622373C2211yescharacteristic
179#10622373C2211yescharacteristic, complemented
180#10622373C2211yescharacteristic, complemented
181#10622372C2211yescharacteristic
182#10622372C2211yescharacteristic, complemented
183#10622372C2211yescharacteristic, complemented
184#10622371C2211yescharacteristic
185#10622371C2211yescharacteristic, complemented
186#10622370C2211yescharacteristic
187#10622349C2211yescharacteristic
188#10622347C2211yescharacteristic
189#10622346C2211yescharacteristic, complemented
190#10622342C2211yescharacteristic
191#10622341C2211yescharacteristic, complemented
192(C22⋊D11)⋊C8C2211yescharacteristic
193(C22⋊D11)⋊C8C2211yescharacteristic, complemented
194#10622335C2211yescharacteristic, complemented
195#10622323C2211yescharacteristic, complemented
196#10622323C2211yescharacteristic, complemented
197#10622321C2211yescharacteristic, complemented
198#10622318C2211yescharacteristic, complemented
199C4×Dic44C2211yescharacteristic, complemented
200C4×D88C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C4×C8×D11C2211yescharacteristic, complemented
203C22×D4×C11C2311yescharacteristic
204C22×C22⋊D11—21no—
205C2×#4341—21no—
206C2×#4341—21no—
207C2×#4341C2311yescharacteristic
208C2×#4341C2311yescharacteristic
209C2×#4341C2311yescharacteristic
210C2×D4×D11C2311yescharacteristic
211C2×#4339—21no—
212C2×#4339—21no—
213C2×#4339C2311yescharacteristic
214C22×Dic22—21no—
215C2×C11×D8C2311yescharacteristic
216C2×C11×D8C2311yescharacteristic
217C2×C11×D8C2311yescharacteristic
218C2×C11×D8C2311yescharacteristic
219C11×#127C2311yescharacteristic
220C11×#125C2311yescharacteristic
221C11×#123—21no—
222C11×#123—21no—
223C11×#121—21no—
224C11×#121—21no—
225C11×#121C2311yescharacteristic
226C11×#121C2311yescharacteristic
227C4×D4×C11—21no—
228C4×D4×C11—21no—
229C4×D4×C11C2311yescharacteristic
230C4×D4×C11C2311yescharacteristic
231C4×D4×C11C2311yescharacteristic
232C4×D4×C11C2311yescharacteristic
233C4×D4×C11C2311yescharacteristic
234C4×D4×C11C2311yescharacteristic
235C11×#117C2311yescharacteristic
236C11×#117C2311yescharacteristic
237C2×C11×C22⋊C4—21no—
238C2×C11×C22⋊C4—21no—
239#67006—21no—
240#67006—21no—
241C2×C22⋊Dic11—21no—
242#66993—21no—
243#66993—21no—
244#66993—21no—
245#66993C2311yescharacteristic
246#66993C2311yescharacteristic
247#66993C2311yescharacteristic
248#66992—21no—
249#66992—21no—
250#66992—21no—
251#66992—21no—
252#66992—21no—
253#66992—21no—
254#66992—21no—
255#66992—21no—
256#66992—21no—
257#66991—21no—
258#66991C2311yescharacteristic
259#66991C2311yescharacteristic
260#66991C2311yescharacteristic
261#66991C2311yescharacteristic
262#66990—21no—
263#66989C2311yescharacteristic
264#66988—21no—
265#66988—21no—
266D4×Dic11—21no—
267D4×Dic11—21no—
268D4×Dic11C2311yescharacteristic
269D4×Dic11C2311yescharacteristic
270D4×Dic11C2311yescharacteristic
271D4×Dic11C2311yescharacteristic
272C2×#4324C2311yescharacteristic
273C2×#4324C2311yescharacteristic
274C2×#4324C2311yescharacteristic
275C2×#4324C2311yescharacteristic
276#66985—24no—
277C2×#4323C2311yescharacteristic
278C2×#4323C2311yescharacteristic
279C2×#4323C2311yescharacteristic
280C2×#4323C2311yescharacteristic
281#66983—21no—
282#66983—21no—
283#66983—21no—
284#66983C2311yescharacteristic
285#66982—21no—
286#66982—21no—
287#66982—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11—21no—
290C4×C22⋊D11—21no—
291C4×C22⋊D11—21no—
292C4×C22⋊D11—21no—
293C4×C22⋊D11—21no—
294C4×C22⋊D11—21no—
295C4×C22⋊D11C2311yescharacteristic
296C4×C22⋊D11C2311yescharacteristic
297C2×(C2×D11)⋊C4—21no—
298C2×(C2×D11)⋊C4—21no—
299#66979—21no—
300C2×C4⋊Dic11C2311yescharacteristic
301#66977—21no—
302#66977—21no—
303#66977C2311yescharacteristic
304C2×Dic11⋊C4—21no—
305C2×C4×Dic11—21no—
306C2×C4×Dic11—21no—
307C2×#4318C2311yescharacteristic
308C22×C11⋊C8C2311yescharacteristic
309#66965—24no—
310#66964—24no—
311C2×Dic44C2311yescharacteristic
312C2×D88C2311yescharacteristic
313C2×#4314C2311yescharacteristic
314C2×#4314C2311yescharacteristic
315C2×#4313C2311yescharacteristic
316C2×C8×D11C2311yescharacteristic
317C2×C8×D11C2311yescharacteristic
318C2×C8×D11C2311yescharacteristic
319#66951—21no—
320#66951—21no—
321#66951D411yescharacteristic
322#66950C2311yescharacteristic
323#66949—21no—
324#66949D411yescharacteristic
325#66948—21no—
326#66948C2311yescharacteristic
327#66948C2311yescharacteristic
328#66948C2311yescharacteristic
329#66947—21no—
330#66947D411yescharacteristic
331#66946—21no—
332#66946C2311yescharacteristic
333#66945—21no—
334#66945C2311yescharacteristic
335#66945C2311yescharacteristic
336#66945C2311yescharacteristic
337C4⋊C4×D11—21no—
338C4⋊C4×D11C2311yescharacteristic
339#66943C2311yescharacteristic
340#66942—21no—
341#66942—21no—
342#66942D411yescharacteristic
343#66941—21no—
344#66941C2311yescharacteristic
345#66941C2311yescharacteristic
346#66941C2311yescharacteristic
347#66940—21no—
348#66940C2311yescharacteristic
349#66940C2311yescharacteristic
350#66940C2311yescharacteristic
351#66939—21no—
352#66939—21no—
353#66938—21no—
354#66938—21no—
355#66938—21no—
356#66938—21no—
357#66938—21no—
358#66938—21no—
359#66938—21no—
360#66938—21no—
361#66938—21no—
362#66938D411yescharacteristic
363#66937—21no—
364#66937—21no—
365#66937—21no—
366#66937—21no—
367#66937—21no—
368#66937—21no—
369#66937D411yescharacteristic
370#66936—21no—
371#66936—21no—
372#66936—21no—
373#66936—21no—
374#66936D411yescharacteristic
375#66935—21no—
376(C22⋊D11)⋊C4—21no—
377(C22⋊D11)⋊C4—21no—
378(C22⋊D11)⋊C4—21no—
379(C22⋊D11)⋊C4—21no—
380(C22⋊D11)⋊C4—21no—
381(C22⋊D11)⋊C4—21no—
382(C22⋊D11)⋊C4—21no—
383(C22⋊D11)⋊C4—21no—
384C22⋊C4×D11—21no—
385#66932—21no—
386#66932—21no—
387#66932—21no—
388#66932D411yescharacteristic
389#66931—21no—
390#66931—21no—
391#66931—21no—
392#66930—21no—
393#66930—21no—
394#66930—21no—
395#66929—21no—
396#66928—21no—
397#66928C2311yescharacteristic
398C4×D44C2311yescharacteristic
399C4×D44C2311yescharacteristic
400C4×D44C2311yescharacteristic
401C4×D44C2311yescharacteristic
402#66925—21no—
403#66925C2311yescharacteristic
404C42×D11C2311yescharacteristic
405#66922C2311yescharacteristic
406C4×Dic22—21no—
407C4×Dic22C2311yescharacteristic
408C4×Dic22C2311yescharacteristic
409C4×Dic22C2311yescharacteristic
410C4×Dic22C2311yescharacteristic
411C11×#107C2311yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#106C2311yescharacteristic
414C11×#106C2311yescharacteristic
415C11×C4⋊C8C2311yescharacteristic
416C11×C4⋊C8C2311yescharacteristic
417C11×#102C2311yescharacteristic
418C11×#102C2311yescharacteristic
419C11×#102C2311yescharacteristic
420C11×#102C2311yescharacteristic
421C11×#102C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C11×#102C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×C22⋊C8C2311yescharacteristic
426C11×C22⋊C8C2311yescharacteristic
427C11×#97C2311yescharacteristic
428C4×C8×C11C2311yescharacteristic
429#66896C2311yescharacteristic
430#66896C2311yescharacteristic
431#66896C2311yescharacteristic
432#66896C2311yescharacteristic
433#66896C2311yescharacteristic
434#66896C2311yescharacteristic
435#66896C2311yescharacteristic
436#66896C2311yescharacteristic
437#66885C2311yescharacteristic
438#66885C2311yescharacteristic
439#66885C2311yescharacteristic
440#66885C2311yescharacteristic
441(C2×D11)⋊C8C2311yescharacteristic
442(C2×D11)⋊C8C2311yescharacteristic
443(C2×D11)⋊C8C2311yescharacteristic
444(C2×D11)⋊C8C2311yescharacteristic
445#66882C2311yescharacteristic
446#66882C2311yescharacteristic
447#66882C2311yescharacteristic
448#66882C2311yescharacteristic
449#66880C2311yescharacteristic
450#66880C2311yescharacteristic
451#66880C2311yescharacteristic
452#66880C2311yescharacteristic
453#66879C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455Dic11⋊C8C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458C8×Dic11C2311yescharacteristic
459C8×Dic11C2311yescharacteristic
460C8×Dic11C2311yescharacteristic
461#66874C2311yescharacteristic
462#66874C2311yescharacteristic
463#66874C2311yescharacteristic
464#66874C2311yescharacteristic
465#66873C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66872C2311yescharacteristic
470#66872C2311yescharacteristic
471#66872C2311yescharacteristic
472#66872C2311yescharacteristic
473#66871C2311yescharacteristic
474#66871C2311yescharacteristic
475#66871C2311yescharacteristic
476#66871C2311yescharacteristic
477#66867C2311yescharacteristic
478#66867C2311yescharacteristic
479C4×C11⋊C8C2311yescharacteristic
480C4×C11⋊C8C2311yescharacteristic
481#61494—111nomaximal, Sylow
482C24×C11—21no—
483C23×D11—21no—
484C2×D4×C11—22no—
485C2×D4×C11—21no—
486C2×D4×C11—21no—
487C2×D4×C11—21no—
488C2×D4×C11—21no—
489C2×D4×C11—21no—
490C2×D4×C11—41no—
491C2×D4×C11C2411yescharacteristic
492C2×D4×C11C2411yescharacteristic
493C2×D4×C11C2411yescharacteristic
494C2×D4×C11C2411yescharacteristic
495C22×C4×C11—21no—
496C22×C4×C11—21no—
497C22×C4×C11—21no—
498C22×C4×C11—21no—
499C22×C4×C11—21no—
500C22×C4×C11—21no—
501C22×C4×C11C2411yescharacteristic
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—82no—
519C2×C22⋊D11C2×D411yescharacteristic
520C2×C22⋊D11C2×D411yescharacteristic
521C22×Dic11—21no—
522C22×Dic11—21no—
523C22×Dic11—21no—
524C22×Dic11—21no—
525C22×Dic11—21no—
526C22×Dic11—21no—
527C22×Dic11—21no—
528C22×Dic11—21no—
529#4341—22no—
530#4341—22no—
531#4341—22no—
532#4341—41no—
533#4341—41no—
534#4341—41no—
535#4341—82no—
536#4341—82no—
537D4×D11—22no—
538D4×D11—41no—
539#4339—22no—
540#4339—41no—
541#4339—82no—
542#4339—82no—
543C2×D44—21no—
544C2×D44—21no—
545C2×D44—21no—
546C2×D44C2×D411yescharacteristic
547C2×D44C2411yescharacteristic
548C2×D44C2411yescharacteristic
549C2×C4×D11—21no—
550C2×C4×D11—21no—
551C2×C4×D11—21no—
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11C2×D411yescharacteristic
556C2×C4×D11C2×D411yescharacteristic
557C2×C4×D11C2411yescharacteristic
558C2×C4×D11C2411yescharacteristic
559C2×Dic22—21no—
560C2×Dic22—21no—
561C2×Dic22—21no—
562C2×Dic22—21no—
563C2×Dic22—82no—
564C2×Dic22C2×D411yescharacteristic
565C2×Dic22C2411yescharacteristic
566C2×Dic22C2411yescharacteristic
567C11×D8—22no—
568C11×D8—22no—
569C11×D8—41no—
570C11×D8—41no—
571C2×C8×C11C2411yescharacteristic
572C2×C8×C11C2411yescharacteristic
573C2×C8×C11C2411yescharacteristic
574C2×C8×C11C2411yescharacteristic
575C11×C4⋊C4—21no—
576C11×C4⋊C4—21no—
577C11×C4⋊C4C2×D411yescharacteristic
578C11×C4⋊C4C2×D411yescharacteristic
579C11×C4⋊C4C2411yescharacteristic
580C11×C4⋊C4C2411yescharacteristic
581C11×C4⋊C4C2411yescharacteristic
582C11×C4⋊C4C2411yescharacteristic
583C11×C22⋊C4—21no—
584C11×C22⋊C4—21no—
585C11×C22⋊C4—21no—
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
588C11×C22⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
591C11×C22⋊C4—21no—
592C11×C22⋊C4C2×D411yescharacteristic
593C11×C22⋊C4C2×D411yescharacteristic
594C42×C11—21no—
595C42×C11C2411yescharacteristic
596C42×C11C2411yescharacteristic
597C22⋊Dic11—21no—
598C22⋊Dic11—21no—
599C22⋊Dic11—21no—
600C22⋊Dic11—21no—
601C22⋊Dic11—21no—
602C22⋊Dic11—21no—
603C22⋊Dic11—21no—
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11C2×D411yescharacteristic
609C22⋊Dic11C2×D411yescharacteristic
610#4324—22no—
611#4324—22no—
612#4324—41no—
613#4324#4114yescomplemented
614#4323—22no—
615#4323—22no—
616#4323—22no—
617#4323—41no—
618(C2×D11)⋊C4—21no—
619(C2×D11)⋊C4—21no—
620(C2×D11)⋊C4—21no—
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4C2×D411yescharacteristic
633(C2×D11)⋊C4C2×D411yescharacteristic
634(C2×D11)⋊C4C2×D411yescharacteristic
635(C2×D11)⋊C4C2×D411yescharacteristic
636(C2×D11)⋊C4C2×D411yescharacteristic
637(C2×D11)⋊C4C2×D411yescharacteristic
638C4⋊Dic11—21no—
639C4⋊Dic11—21no—
640C4⋊Dic11—21no—
641C4⋊Dic11—21no—
642C4⋊Dic11C2×D411yescharacteristic
643C4⋊Dic11C2×D411yescharacteristic
644C4⋊Dic11C2411yescharacteristic
645C4⋊Dic11C2411yescharacteristic
646C4⋊Dic11C2411yescharacteristic
647C4⋊Dic11C2411yescharacteristic
648Dic11⋊C4—21no—
649Dic11⋊C4—21no—
650Dic11⋊C4—21no—
651Dic11⋊C4—21no—
652Dic11⋊C4—21no—
653Dic11⋊C4—21no—
654Dic11⋊C4—21no—
655Dic11⋊C4—21no—
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4—21no—
660Dic11⋊C4C2×D411yescharacteristic
661Dic11⋊C4C2×D411yescharacteristic
662Dic11⋊C4C2×D411yescharacteristic
663Dic11⋊C4C2×D411yescharacteristic
664Dic11⋊C4C2×D411yescharacteristic
665Dic11⋊C4C2×D411yescharacteristic
666C4×Dic11—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×Dic11C2×D411yescharacteristic
676C4×Dic11C2×D411yescharacteristic
677C4×Dic11C2411yescharacteristic
678C4×Dic11C2411yescharacteristic
679#4318—22no—
680C2×C11⋊C8—41no—
681C2×C11⋊C8C2411yescharacteristic
682C2×C11⋊C8C2411yescharacteristic
683C2×C11⋊C8C2411yescharacteristic
684C2×C11⋊C8C2411yescharacteristic
685Dic44—22no—
686D88—41no—
687#4314—22no—
688#4314—41no—
689#4313—22no—
690C8×D11—22no—
691C8×D11—41no—
692C8×D11—41no—
693#3517—111no—
694#3514—111no—
695#3399—111no—
696#3386—111no—
697#3365—111no—
698#3358—111no—
699#3353—111no—
700#3347—111no—
701#3347—111no—
702#3305—111no—
703#3305—111no—
704#3304—111no—
705#3297—111no—
706#3297—111no—
707#3294—111no—
708#3274—111no—
709#3268—111no—
710#3268—111no—
711#3179—111no—
712#3179—111no—
713#3169—111no—
714#3124—111no—
715#3124—111no—
716#3122—111no—
717#3122D1111yescharacteristic, complemented
718#3115—111no—
719#3115—111no—
720#2966—111no—
721#2946—111no—
722#2946—111no—
723C4×#135—111no—
724C23×C11—21no—
725C23×C11—21no—
726C23×C11—21no—
727C23×C11—21no—
728C23×C11—42no—
729C23×C11—81no—
730C23×C11—81no—
731C23×C11C22×D411yescharacteristic
732C22×D11—21no—
733C22×D11—21no—
734C22×D11—42no—
735C22×D11—81no—
736C22×D11—81no—
737C22×D11C22×D411yescharacteristic
738C22×D11C22×D411yescharacteristic
739D4×C11—21no—
740D4×C11—21no—
741D4×C11—21no—
742D4×C11—21no—
743D4×C11—21no—
744D4×C11—21no—
745D4×C11—21no—
746D4×C11—42no—
747D4×C11—81no—
748D4×C11—81no—
749D4×C11—81no—
750D4×C11—81no—
751D4×C11C2×#4112yes—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—81no—
759C2×C4×C11—81no—
760C2×C4×C11—81no—
761C2×C4×C11—81no—
762C2×C4×C11—81no—
763C2×C4×C11—81no—
764C2×C4×C11C22×D411yescharacteristic
765C2×C4×C11C22×D411yescharacteristic
766C2×C4×C11C22×D411yescharacteristic
767C2×C4×C11C22×D411yescharacteristic
768C2×C4×C11C22×D411yescharacteristic
769C2×C4×C11C2511yescharacteristic
770C22⋊D11—22no—
771C22⋊D11—41no—
772C22⋊D11—42no—
773C22⋊D11—42no—
774C22⋊D11—42no—
775C22⋊D11—42no—
776C22⋊D11—42no—
777C22⋊D11—42no—
778C22⋊D11—42no—
779C22⋊D11—81no—
780C22⋊D11—81no—
781C22⋊D11—81no—
782C22⋊D11—81no—
783C22⋊D11—81no—
784C22⋊D11—81no—
785C22⋊D11—81no—
786C22⋊D11—81no—
787C22⋊D11—81no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—42no—
795C2×Dic11—42no—
796C2×Dic11—42no—
797C2×Dic11—42no—
798C2×Dic11—42no—
799C2×Dic11—81no—
800C2×Dic11—81no—
801C2×Dic11—81no—
802C2×Dic11C22×D411yescharacteristic
803C2×Dic11C22×D411yescharacteristic
804C2×Dic11C22×D411yescharacteristic
805C2×Dic11C22×D411yescharacteristic
806C2×Dic11C22×D411yescharacteristic
807C2×Dic11C22×D411yescharacteristic
808D44—21no—
809D44—21no—
810D44—21no—
811D44—21no—
812D44—41no—
813D44—81no—
814D44—81no—
815D44—81no—
816C4×D11—21no—
817C4×D11—21no—
818C4×D11—21no—
819C4×D11—21no—
820C4×D11—22no—
821C4×D11—41no—
822C4×D11—42no—
823C4×D11—81no—
824C4×D11—81no—
825C4×D11—81no—
826C4×D11—81no—
827C4×D11—81no—
828Dic22—21no—
829Dic22—22no—
830Dic22—21no—
831Dic22—21no—
832Dic22—42no—
833Dic22—42no—
834Dic22—81no—
835Dic22—81no—
836Dic22C2×#4112yes—
837C8×C11—21no—
838C8×C11—21no—
839C8×C11—21no—
840C8×C11—21no—
841C11⋊C8—21no—
842C11⋊C8—21no—
843C11⋊C8—21no—
844C11⋊C8C2×#4112yes—
845C2×AGL(1,ℤ/8)—111no—
846C2×AGL(1,ℤ/8)—111no—
847C2×#135—111no—
848#559—111no—
849#557—111no—
850#556—111no—
851#555—111no—
852#555—111no—
853#553—111no—
854#553—111no—
855#553—221no—
856#553—221no—
857#551—221no—
858#551—221no—
859#550—111no—
860#550—111no—
861#550—111no—
862#550—111no—
863#550—221no—
864D4×Q8—111no—
865#548—221no—
866#547—111no—
867#547—221no—
868#546—111no—
869#546—111no—
870#546—221no—
871D42—111no—
872#542—111no—
873#542—111no—
874#540—111no—
875#540—221no—
876#540—221no—
877#540C2×D1111yescharacteristic, complemented
878#538—221no—
879#538—221no—
880#532—111no—
881#532—111no—
882#532—221no—
883#529—111no—
884#529—221no—
885#529—221no—
886C2×#124—221no—
887#520—111no—
888#520—111no—
889#518—111no—
890#518C2×D1111yescharacteristic
891C4×#41—111no—
892C4×#41—111no—
893#501—111no—
894#501—111no—
895#500—111no—
896#496—111no—
897#496—111no—
898#493—111no—
899#488—111no—
900#488—111no—
901#486—111no—
902#486—111no—
903#486—111no—
904#486—111no—
905#484—111no—
906#484—111no—
907#482—111no—
908#482—111no—
909#482—111no—
910#482—111no—
911#482—111no—
912#482—111no—
913#482C2×D1111yescharacteristic, complemented
914#482C2×D1111yescharacteristic, complemented
915#480—111no—
916#480—111no—
917#478—111no—
918#478—111no—
919#478C2×D1111yescharacteristic
920#478C2×D1111yescharacteristic, complemented
921#477—111no—
922#477—111no—
923#475—111no—
924#475—111no—
925#474—111no—
926#474—111no—
927#474—111no—
928#474—111no—
929#469—111no—
930#469—111no—
931#468—111no—
932#468—111no—
933#466—111no—
934#466—111no—
935#466—111no—
936#466—111no—
937#466—111no—
938#466—111no—
939#465—111no—
940#465—111no—
941#464—111no—
942#464—111no—
943#463—111no—
944#463—111no—
945#460—111no—
946#460—111no—
947#459—111no—
948#459—111no—
949#459—111no—
950#459—111no—
951#459C2×D1111yescharacteristic
952#459C2×D1111yescharacteristic, complemented
953#452—111no—
954#452—111no—
955#449—111no—
956#449—111no—
957#449—111no—
958#449—111no—
959#449—111no—
960#449—111no—
961#447—111no—
962#447—111no—
963#447C2×D1111yescharacteristic
964#447C2×D1111yescharacteristic
965#446—111no—
966C8×Q8—111no—
967#442—111no—
968#442—111no—
969#442—111no—
970#442—111no—
971#442C2×D1111yescharacteristic
972#442C2×D1111yescharacteristic, complemented
973#440—111no—
974#440—111no—
975#440—111no—
976#440—111no—
977#440—111no—
978#440—111no—
979C4×Q16—111no—
980C4×Q16—111no—
981C4×SD16—111no—
982C4×SD16—111no—
983C4×SD16—111no—
984C4×SD16—111no—
985C4×SD16—111no—
986C4×SD16—111no—
987C4×D8—111no—
988C4×D8—111no—
989C4×D8—111no—
990C4×D8—111no—
991C4×D8—111no—
992C4×D8—111no—
993C4×D8C2×D1111yescharacteristic
994C4×D8C2×D1111yescharacteristic, complemented
995#436—111no—
996#435—111no—
997#435—111no—
998C8×D4—111no—
999C8×D4—111no—
1000C8×D4—111no—
1001#433—111no—
1002#433C2×D1111yescharacteristic, complemented
1003#432—111no—
1004#428—111no—
1005#428—111no—
1006#427—111no—
1007#416—111no—
1008#416—111no—
1009#416—111no—
1010#416—111no—
1011C2×#102—111no—
1012C2×#102—111no—
1013#405—111no—
1014#405—111no—
1015C2×C4×C8—111no—
1016C22×C11—21no—
1017C22×C11—21no—
1018C22×C11—22no—
1019C22×C11—21no—
1020C22×C11—41no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—41no—
1029C22×C11—41no—
1030C22×C11—41no—
1031C22×C11—162no—
1032C22×C11C23×D411yescharacteristic
1033C2×D11—21no—
1034C2×D11—21no—
1035C2×D11—21no—
1036C2×D11—21no—
1037C2×D11—21no—
1038C2×D11—21no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—162no—
1046C4×C11—21no—
1047C4×C11—21no—
1048C4×C11—21no—
1049C4×C11—21no—
1050C4×C11—21no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11C22×#4111yescharacteristic
1056C4×C11#58511yescharacteristic
1057Dic11—21no—
1058Dic11—21no—
1059Dic11—22no—
1060Dic11—21no—
1061Dic11—21no—
1062Dic11—21no—
1063Dic11—41no—
1064Dic11—41no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11#57612yes—
1069C2×#41—111no—
1070C2×#41—111no—
1071C2×#41—111no—
1072C2×#41—111no—
1073C2×#41—221no—
1074C2×#41—221no—
1075C2×#41—221no—
1076C2×#41—221no—
1077C22×Q8—221no—
1078C22×D4—111no—
1079C22×D4—221no—
1080C22×D4C22×D1111yescharacteristic
1081AGL(1,ℤ/8)—224no—
1082AGL(1,ℤ/8)—224no—
1083#135—224no—
1084C2×Q16—111no—
1085C2×SD16—111no—
1086C2×SD16—111no—
1087C2×SD16—111no—
1088C2×SD16—111no—
1089C2×SD16—111no—
1090C2×SD16—111no—
1091C2×D8—111no—
1092C2×D8—111no—
1093C2×D8—111no—
1094C2×D8—111no—
1095C2×D8—111no—
1096C2×D8C22×D1111yescharacteristic
1097C2×D8C22×D1111yescharacteristic
1098C2×D8C22×D1111yescharacteristic
1099C2×D8C22×D1111yescharacteristic
1100C2×M16—111no—
1101C2×M16—111no—
1102C22×C8—111no—
1103C22×C8—111no—
1104C22×C8—111no—
1105C22×C8—111no—
1106C4⋊Q8—111no—
1107C4⋊Q8—111no—
1108C4⋊Q8—111no—
1109C4⋊Q8—111no—
1110C4⋊Q8—221no—
1111#127—111no—
1112#127—111no—
1113#127—111no—
1114#127—221no—
1115#127—221no—
1116#127—221no—
1117#127C22×D1111yescharacteristic
1118#126—111no—
1119#126—111no—
1120#126—221no—
1121#126—221no—
1122#126—221no—
1123#126—221no—
1124#126—221no—
1125#126—221no—
1126#125—111no—
1127#125—111no—
1128#125—221no—
1129#125—221no—
1130#125C22×D1111yescharacteristic
1131#124—111no—
1132#124—111no—
1133#124—111no—
1134#124—221no—
1135#124—221no—
1136#124—221no—
1137#124—221no—
1138#124—221no—
1139#124—221no—
1140#124—221no—
1141#124—221no—
1142#124—221no—
1143#124—221no—
1144#123—21no—
1145#123—21no—
1146#123—111no—
1147#123—111no—
1148#123—221no—
1149#123—221no—
1150#123—221no—
1151#123—221no—
1152#123—221no—
1153#123—221no—
1154#123—221no—
1155#123—221no—
1156#123—221no—
1157#123—221no—
1158#123—221no—
1159#123—221no—
1160C22⋊Q8—111no—
1161C22⋊Q8—111no—
1162C22⋊Q8—111no—
1163C22⋊Q8—221no—
1164C22⋊Q8—221no—
1165C22⋊Q8—221no—
1166C22⋊Q8—221no—
1167C22⋊Q8—221no—
1168C22⋊Q8—221no—
1169#121—21no—
1170#121—21no—
1171#121—111no—
1172#121—111no—
1173#121—111no—
1174#121—111no—
1175#121—111no—
1176#121—111no—
1177#121—111no—
1178#121—111no—
1179#121—111no—
1180#121—221no—
1181#121—221no—
1182#121—221no—
1183#121—221no—
1184#121—221no—
1185#121—221no—
1186#121—221no—
1187#121—221no—
1188#121—221no—
1189#121—221no—
1190#121—221no—
1191#121—221no—
1192#121—221no—
1193#121—221no—
1194#121—221no—
1195#121—221no—
1196#121—221no—
1197#121—221no—
1198#121—221no—
1199#121—221no—
1200#121C22×D1111yescharacteristic
1201#121C22×D1111yescharacteristic
1202#120—221no—
1203#120—221no—
1204#120—221no—
1205#120—221no—
1206C4×Q8—111no—
1207C4×Q8—111no—
1208C4×Q8—111no—
1209C4×Q8—111no—
1210C4×Q8—111no—
1211C4×Q8—111no—
1212C4×Q8—111no—
1213C4×Q8—221no—
1214C4×Q8—221no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—111no—
1218C4×D4—111no—
1219C4×D4—111no—
1220C4×D4—111no—
1221C4×D4—111no—
1222C4×D4—111no—
1223C4×D4—111no—
1224C4×D4—111no—
1225C4×D4—111no—
1226C4×D4—111no—
1227C4×D4—111no—
1228C4×D4—221no—
1229C4×D4—221no—
1230C4×D4—221no—
1231C4×D4—221no—
1232C4×D4—221no—
1233C4×D4—221no—
1234C4×D4—221no—
1235C4×D4—221no—
1236C4×D4—221no—
1237C4×D4—221no—
1238C4×D4—221no—
1239C4×D4—221no—
1240C4×D4—221no—
1241C4×D4—221no—
1242C4×D4—221no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4C22×D1111yescharacteristic
1247C4×D4C22×D1111yescharacteristic
1248C4×D4C22×D1111yescharacteristic
1249C4×D4C22×D1111yescharacteristic
1250C4×D4C22×D1111yescharacteristic
1251C4×D4C22×D1111yescharacteristic
1252#117—111no—
1253#117—111no—
1254#117—111no—
1255#117—111no—
1256#117—221no—
1257#117—221no—
1258#117—221no—
1259#117—221no—
1260#117—221no—
1261#117—221no—
1262#117C22×D1111yescharacteristic
1263#117C22×D1111yescharacteristic
1264C2×C4⋊C4—111no—
1265C2×C4⋊C4—111no—
1266C2×C4⋊C4—221no—
1267C2×C4⋊C4—221no—
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—21no—
1270C2×C22⋊C4—221no—
1271C2×C22⋊C4—221no—
1272C2×C22⋊C4—221no—
1273C2×C22⋊C4—221no—
1274C2×C42—111no—
1275C2×C42—221no—
1276C2×C42—221no—
1277#107—111no—
1278#107—111no—
1279#107—111no—
1280#107—111no—
1281#107—111no—
1282#107—111no—
1283#107—111no—
1284#107—111no—
1285#107C22×D1111yescharacteristic
1286#107C22×D1111yescharacteristic
1287#106—111no—
1288#106—111no—
1289#106—111no—
1290#106—111no—
1291#106C22×D1111yescharacteristic
1292#106C22×D1111yescharacteristic
1293C4⋊C8—111no—
1294C4⋊C8—111no—
1295C4⋊C8—111no—
1296C4⋊C8—111no—
1297C4⋊C8C22×D1111yescharacteristic
1298C4⋊C8C22×D1111yescharacteristic
1299#103—111no—
1300#103—111no—
1301#103—111no—
1302#103—111no—
1303#103—111no—
1304#103—111no—
1305#103—111no—
1306#103—111no—
1307#102—111no—
1308#102—111no—
1309#102—111no—
1310#102—111no—
1311#102—111no—
1312#102—111no—
1313#102—111no—
1314#102—111no—
1315#102—111no—
1316#102—111no—
1317#102—111no—
1318#102—111no—
1319#102—111no—
1320#102—111no—
1321#102—111no—
1322#102—111no—
1323#102C22×D1111yescharacteristic
1324#102C22×D1111yescharacteristic
1325#102C22×D1111yescharacteristic
1326#102C22×D1111yescharacteristic
1327#102C22×D1111yescharacteristic
1328#102C22×D1111yescharacteristic
1329#102C22×D1111yescharacteristic
1330#102C22×D1111yescharacteristic
1331C22⋊C8—111no—
1332C22⋊C8—111no—
1333C22⋊C8—111no—
1334C22⋊C8—111no—
1335C22⋊C8C22×D1111yescharacteristic
1336C22⋊C8C22×D1111yescharacteristic
1337#97—111no—
1338#97—111no—
1339#97—111no—
1340#97C22×D1111yescharacteristic
1341C4×C8—111no—
1342C4×C8—111no—
1343C4×C8—111no—
1344C4×C8—111no—
1345C4×C8—111no—
1346C4×C8C22×D1111yescharacteristic
1347C2×C11—42no—
1348C2×C11—41no—
1349C2×C11—81no—
1350C2×C11—81no—
1351C2×C11—81no—
1352C2×C11D4×#4111yescharacteristic
1353C2×C11C2×#57611yescharacteristic
1354C2×C11#358411yescharacteristic
1355D11—41no—
1356D11—41no—
1357D11—81no—
1358D11—81no—
1359C24—21no—
1360C24—221no—
1361#41—222no—
1362#41—222no—
1363#41—222no—
1364#41—222no—
1365#41—441no—
1366#41—441no—
1367#41—441no—
1368#41—441no—
1369#41—882no—
1370#41—882no—
1371#41—882no—
1372#41—882no—
1373C2×Q8—111no—
1374C2×Q8—111no—
1375C2×Q8—111no—
1376C2×Q8—221no—
1377C2×Q8—221no—
1378C2×Q8—221no—
1379C2×Q8—221no—
1380C2×Q8—882no—
1381C2×D4—22no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—41no—
1388C2×D4—111no—
1389C2×D4—111no—
1390C2×D4—111no—
1391C2×D4—111no—
1392C2×D4—111no—
1393C2×D4—221no—
1394C2×D4—221no—
1395C2×D4—221no—
1396C2×D4—221no—
1397C2×D4—221no—
1398C2×D4—221no—
1399C2×D4—221no—
1400C2×D4—221no—
1401C2×D4—221no—
1402C2×D4—221no—
1403C2×D4—222no—
1404C2×D4—221no—
1405C2×D4—221no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—221no—
1410C2×D4—221no—
1411C2×D4—221no—
1412C2×D4—221no—
1413C2×D4—441no—
1414C2×D4—882no—
1415C2×D4C23×D1111yescharacteristic
1416C2×D4C23×D1111yescharacteristic
1417C2×D4C23×D1111yescharacteristic
1418C2×D4C23×D1111yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—111no—
1426C22×C4—111no—
1427C22×C4—111no—
1428C22×C4—111no—
1429C22×C4—221no—
1430C22×C4—221no—
1431C22×C4—221no—
1432C22×C4—221no—
1433C22×C4—221no—
1434C22×C4—221no—
1435C22×C4—221no—
1436C22×C4—221no—
1437C22×C4—221no—
1438C22×C4—221no—
1439C22×C4—221no—
1440C22×C4—221no—
1441C22×C4—221no—
1442C22×C4—221no—
1443C22×C4C23×D1111yescharacteristic
1444Q16—222no—
1445SD16—114no—
1446SD16—222no—
1447SD16—222no—
1448SD16—222no—
1449SD16—441no—
1450SD16—441no—
1451D8—22no—
1452D8—22no—
1453D8—41no—
1454D8—41no—
1455D8—222no—
1456D8—222no—
1457D8—222no—
1458D8—441no—
1459D8—441no—
1460M16—222no—
1461M16—222no—
1462C2×C8—111no—
1463C2×C8—111no—
1464C2×C8—111no—
1465C2×C8—111no—
1466C2×C8—222no—
1467C2×C8—441no—
1468C2×C8—441no—
1469C2×C8—441no—
1470C2×C8C23×D1111yescharacteristic
1471C2×C8C23×D1111yescharacteristic
1472C2×C8C23×D1111yescharacteristic
1473C2×C8C23×D1111yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—111no—
1477C4⋊C4—111no—
1478C4⋊C4—111no—
1479C4⋊C4—111no—
1480C4⋊C4—111no—
1481C4⋊C4—111no—
1482C4⋊C4—111no—
1483C4⋊C4—111no—
1484C4⋊C4—111no—
1485C4⋊C4—111no—
1486C4⋊C4—111no—
1487C4⋊C4—111no—
1488C4⋊C4—221no—
1489C4⋊C4—221no—
1490C4⋊C4—221no—
1491C4⋊C4—221no—
1492C4⋊C4—221no—
1493C4⋊C4—221no—
1494C4⋊C4—221no—
1495C4⋊C4—221no—
1496C4⋊C4—221no—
1497C4⋊C4—221no—
1498C4⋊C4—221no—
1499C4⋊C4—221no—
1500C4⋊C4—221no—
1501C4⋊C4—221no—
1502C4⋊C4—221no—
1503C4⋊C4—221no—
1504C4⋊C4D4×D1111yescharacteristic
1505C4⋊C4D4×D1111yescharacteristic
1506C4⋊C4C23×D1111yescharacteristic
1507C4⋊C4C23×D1111yescharacteristic
1508C4⋊C4C23×D1111yescharacteristic
1509C4⋊C4C23×D1111yescharacteristic
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—111no—
1520C22⋊C4—111no—
1521C22⋊C4—111no—
1522C22⋊C4—111no—
1523C22⋊C4—111no—
1524C22⋊C4—111no—
1525C22⋊C4—111no—
1526C22⋊C4—111no—
1527C22⋊C4—221no—
1528C22⋊C4—221no—
1529C22⋊C4—221no—
1530C22⋊C4—221no—
1531C22⋊C4—221no—
1532C22⋊C4—221no—
1533C22⋊C4—221no—
1534C22⋊C4—221no—
1535C22⋊C4—221no—
1536C22⋊C4—221no—
1537C22⋊C4—221no—
1538C22⋊C4—221no—
1539C22⋊C4—221no—
1540C22⋊C4—221no—
1541C22⋊C4—221no—
1542C22⋊C4—221no—
1543C22⋊C4—221no—
1544C22⋊C4—221no—
1545C22⋊C4—221no—
1546C22⋊C4—221no—
1547C22⋊C4—221no—
1548C22⋊C4—221no—
1549C22⋊C4—221no—
1550C22⋊C4—221no—
1551C22⋊C4—221no—
1552C22⋊C4D4×D1111yescharacteristic
1553C22⋊C4D4×D1111yescharacteristic
1554C42—21no—
1555C42—111no—
1556C42—111no—
1557C42—111no—
1558C42—111no—
1559C42—221no—
1560C42—221no—
1561C42—221no—
1562C42—221no—
1563C42—221no—
1564C42—221no—
1565C42—221no—
1566C42—221no—
1567C42—221no—
1568C42C23×D1111yescharacteristic
1569C42C23×D1111yescharacteristic
1570C11#6149411yescharacteristic, complemented, Sylow
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—81no—
1577C23—81no—
1578C23—111no—
1579C23—111no—
1580C23—221no—
1581C23—221no—
1582C23—442no—
1583C23—881no—
1584C23—881no—
1585C23C2×D4×D1111yescharacteristic
1586Q8—112no—
1587Q8—222no—
1588Q8—221no—
1589Q8—221no—
1590Q8—221no—
1591Q8—442no—
1592Q8—442no—
1593Q8—881no—
1594Q8—881no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—42no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—222no—
1608D4—221no—
1609D4—221no—
1610D4—221no—
1611D4—221no—
1612D4—441no—
1613D4—442no—
1614D4—442no—
1615D4—441no—
1616D4—442no—
1617D4—442no—
1618D4—442no—
1619D4—442no—
1620D4—442no—
1621D4—881no—
1622D4—881no—
1623D4—881no—
1624D4—881no—
1625D4—881no—
1626D4—881no—
1627D4—881no—
1628D4—881no—
1629D4—881no—
1630D4—881no—
1631D4—881no—
1632D4—881no—
1633D4#41×D1112yes—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—111no—
1647C2×C4—111no—
1648C2×C4—111no—
1649C2×C4—111no—
1650C2×C4—111no—
1651C2×C4—111no—
1652C2×C4—222no—
1653C2×C4—221no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—441no—
1664C2×C4—442no—
1665C2×C4—442no—
1666C2×C4—442no—
1667C2×C4—442no—
1668C2×C4—442no—
1669C2×C4—442no—
1670C2×C4—881no—
1671C2×C4—881no—
1672C2×C4—881no—
1673C2×C4—881no—
1674C2×C4—881no—
1675C2×C4—881no—
1676C2×C4—881no—
1677C2×C4—881no—
1678C2×C4C2×D4×D1111yescharacteristic
1679C2×C4C2×D4×D1111yescharacteristic
1680C2×C4C2×D4×D1111yescharacteristic
1681C2×C4C2×D4×D1111yescharacteristic
1682C2×C4C2×D4×D1111yescharacteristic
1683C2×C4C24×D1111yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—112no—
1689C8—221no—
1690C8—221no—
1691C8—221no—
1692C22—21no—
1693C22—21no—
1694C22—22no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—162no—
1708C22—221no—
1709C22—221no—
1710C22—221no—
1711C22—221no—
1712C22—221no—
1713C22—221no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—441no—
1718C22—441no—
1719C22—441no—
1720C22—1762no—
1721C22C22×D4×D1111yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—112no—
1732C4—221no—
1733C4—221no—
1734C4—221no—
1735C4—222no—
1736C4—221no—
1737C4—221no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4C2×#41×D1111yescharacteristic
1744C4#1062345311yescharacteristic
1745C2—41no—
1746C2—42no—
1747C2—81no—
1748C2—81no—
1749C2—81no—
1750C2—441no—
1751C2—441no—
1752C2—881no—
1753C2—881no—
1754C2#1308209911yescharacteristic
1755C2D11×#57611yescharacteristic
1756C2#1308338411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3122C2
socleC22×C11C23×D4
hypercenter#3122D11
hypocenterC11#61494
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3122

Complements

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

NH ≅ G/Ntype
1. #13082618C2semidirect
2. #13082567C2semidirect
3. #13081661C2semidirect
4. #13081532C2semidirect
5. #13081315C2semidirect
6. #13081246C2semidirect
7. #13081198C2semidirect
8. #13081113C2semidirect
9. #13081109C2semidirect
10. #13080569C2semidirect
11. #13080564C2semidirect
12. #13080553C2semidirect
13. #13080470C2semidirect
14. #13080463C2semidirect
15. #13080422C2semidirect
16. #13080234C2semidirect
17. #13080162C2semidirect
18. #13080154C2semidirect
19. #13079305C2semidirect
20. #13079301C2semidirect
21. #13079192C2semidirect
22. #13078880C2semidirect
23. #13078874C2semidirect
24. #13078856C2semidirect
25. #13078763C2semidirect
26. #13078763C2semidirect
27. #13077589C2semidirect
28. #13077448C2semidirect
29. #13077445C2semidirect
30. C4×#66965C2semidirect
31. C11×#3122C2semidirect
32. C11×#540C22semidirect
39. #10623249C22semidirect
40. #10623249C22semidirect
41. #10623226C22semidirect
42. #10623216C22semidirect
47. #10623149C22semidirect
53. #10623130C22semidirect
56. #10623093C22semidirect
64. #10623079C22semidirect
65. #10623077C22semidirect
70. C4×#4341C22semidirect
75. #10623054C22semidirect
80. C11×#482C22semidirect
81. C11×#482C22semidirect
83. C11×#478C22semidirect
85. C11×#459C22semidirect
89. C11×#442C22semidirect
91. C4×C11×D8C22semidirect
92. C11×#433C22semidirect
96. #10622771C22semidirect
98. #10622770C22semidirect
100. #10622767C22semidirect
101. #10622766C22semidirect
108. #10622687C22semidirect
109. #10622683C22semidirect
110. #10622681C22semidirect
111. #10622678C22semidirect
112. #10622655C22semidirect
113. #10622654C22semidirect
117. #10622631C22semidirect
118. #10622631C22semidirect
120. C4×#4324C22semidirect
121. C4×#4324C22semidirect
123. #10622627C22semidirect
124. #10622627C22semidirect
126. C4×#4323C22semidirect
127. C4×#4323C22semidirect
128. #10622615C22semidirect
129. #10622610C22semidirect
130. #10622608C22semidirect
131. #10622504C22semidirect
132. #10622498C22semidirect
133. #10622497C22semidirect
134. #10622496C22semidirect
135. #10622493C22semidirect
136. #10622488C22semidirect
137. #10622487C22semidirect
138. #10622486C22semidirect
139. #10622479C22semidirect
140. #10622479C22semidirect
141. #10622477C22semidirect
142. #10622474C22semidirect
143. #10622469C22semidirect
144. #10622467C22semidirect
145. #10622467C22semidirect
146. #10622465C22semidirect
147. #10622463C22semidirect
148. #10622459C22semidirect
149. #10622458C22semidirect
150. #10622457C22semidirect
151. #10622449C22semidirect
152. #10622447C22semidirect
153. #10622443C22semidirect
154. #10622441C22semidirect
155. #10622399C22semidirect
156. #10622398C22semidirect
157. #10622397C22semidirect
158. #10622397C22semidirect
159. #10622397C22semidirect
160. #10622396C22semidirect
163. #10622394C22semidirect
164. #10622393C22semidirect
165. #10622388C22semidirect
166. #10622388C22semidirect
170. #10622385C22semidirect
171. #10622385C22semidirect
173. #10622381C22semidirect
174. #10622380C22semidirect
177. #10622375C22semidirect
179. #10622373C22semidirect
180. #10622373C22semidirect
182. #10622372C22semidirect
183. #10622372C22semidirect
185. #10622371C22semidirect
189. #10622346C22semidirect
191. #10622341C22semidirect
193. (C22⋊D11)⋊C8C22semidirect
194. #10622335C22semidirect
195. #10622323C22semidirect
196. #10622323C22semidirect
197. #10622321C22semidirect
198. #10622318C22semidirect
199. C4×Dic44C22semidirect
200. C4×D88C22semidirect
201. #10622303C22semidirect
202. C4×C8×D11C22semidirect
613. #4324#41semidirect
717. #3122D11semidirect
877. #540C2×D11semidirect
913. #482C2×D11semidirect
914. #482C2×D11semidirect
920. #478C2×D11semidirect
952. #459C2×D11semidirect
972. #442C2×D11semidirect
994. C4×D8C2×D11semidirect
1002. #433C2×D11semidirect
1570. C11#61494semidirect

Maximal subgroups

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

subgroupindex
#130826182
#130825672
#130816612
#130815322
#130813152
#130812462
#130811982
#130811132
#130811092
#130805692
#130805642
#130805532
#130804702
#130804632
#130804222
#130802342
#130801622
#130801542
#130793052
#130793012
#130791922
#130788802
#130788742
#130788562
#130787632
#130775892
#130774482
#130774452
C4×#669652
C11×#31222
#6149411