Finite Group Databasebeta

← #15636168

Subgroups — #15636168

Order 2816.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082610C211yesmaximal, characteristic, complemented
2#13082561C211yesmaximal, characteristic, complemented
3#13081611C211yesmaximal, characteristic, complemented
4#13081494C211yesmaximal, characteristic, complemented
5#13081438C211yesmaximal, characteristic, complemented
6#13081385C211yesmaximal, characteristic, complemented
7#13080998C211yesmaximal, characteristic, complemented
8#13080995C211yesmaximal, characteristic, complemented
9#13080966C211yesmaximal, characteristic, complemented
10#13080865C211yesmaximal, characteristic, complemented
11#13080838C211yesmaximal, characteristic, complemented
12#13080759C211yesmaximal, characteristic, complemented
13#13080703C211yesmaximal, characteristic, complemented
14#13080603C211yesmaximal, characteristic, complemented
15#13080316C211yesmaximal, characteristic, complemented
16#13080316C211yesmaximal, characteristic, complemented
17D4×#4325C211yesmaximal, characteristic, complemented
18#13079247C211yesmaximal, characteristic, complemented
19#13079234C211yesmaximal, characteristic, complemented
20#13079187C211yesmaximal, characteristic, complemented
21#13078846C211yesmaximal, characteristic, complemented
22#13078829C211yesmaximal, characteristic, complemented
23#13078822C211yesmaximal, characteristic, complemented
24#13078803C211yesmaximal, characteristic, complemented
25#13078788C211yesmaximal, characteristic, complemented
26#13078757C211yesmaximal, characteristic, complemented
27#13077586C211yesmaximal, characteristic, complemented
28#13077496C211yesmaximal, characteristic, complemented
29#13077471C211yesmaximal, characteristic, complemented
30C2×#10622401C211yesmaximal, characteristic, complemented
31C11×#3312C211yesmaximal, characteristic, complemented
32C11×#552C2211yescharacteristic
33D4×Q8×C11C2211yescharacteristic
34#10623348C2211yescharacteristic, complemented
35#10623348C2211yescharacteristic, complemented
36#10623343C2211yescharacteristic, complemented
37C2×Q8×Dic11C2211yescharacteristic, complemented
38C22×#4325C2211yescharacteristic
39C22×#4325C2211yescharacteristic
40C2×#66972C2211yescharacteristic
41#10623263—21no—
42#10623263C2211yescharacteristic, complemented
43#10623262—21no—
44#10623262C2211yescharacteristic, complemented
45#10623236—21no—
46#10623235—21no—
47#10623229C2211yescharacteristic
48#10623226—21no—
49#10623223—21no—
50#10623221C2211yescharacteristic
51#10623185—21no—
52D11×#123—21no—
53#10623174—21no—
54#10623174C2211yescharacteristic
55#10623174C2211yescharacteristic, complemented
56#10623170—21no—
57#10623170C2211yescharacteristic, complemented
58#10623166—21no—
59#10623166C2211yescharacteristic, complemented
60#10623161C2211yescharacteristic
61#10623161C2211yescharacteristic
62#10623155—21no—
63#10623155C2211yescharacteristic
64#10623155C2211yescharacteristic, complemented
65#10623116C2211yescharacteristic
66#10623105C2211yescharacteristic
67#10623105C2211yescharacteristic, complemented
68#10623100C2211yescharacteristic, complemented
69#10623096—21no—
70#10623096C2211yescharacteristic
71D4×D44C2211yescharacteristic
72#10623069—21no—
73#10623069C2211yescharacteristic
74#10623061C2211yescharacteristic
75#10623058—21no—
76#10623055—21no—
77#10623052C2211yescharacteristic
78#10623038C2211yescharacteristic
79C2×#66946C2211yescharacteristic
80C11×#491C2211yescharacteristic, complemented
81C11×#485C2211yescharacteristic, complemented
82C11×#483C2211yescharacteristic, complemented
83C11×#479C2211yescharacteristic, complemented
84C11×#470C2211yescharacteristic, complemented
85C11×#467C2211yescharacteristic, complemented
86C11×#462C2211yescharacteristic, complemented
87C11×#451C2211yescharacteristic, complemented
88C11×#451C2211yescharacteristic, complemented
89C11×#441C2211yescharacteristic, complemented
90C11×#435C2211yescharacteristic
91C11×#419C2211yescharacteristic, complemented
92C2×C11×#103C2211yescharacteristic, complemented
93#10622840C2211yescharacteristic
94#10622840C2211yescharacteristic
95#10622804C2211yescharacteristic, complemented
96#10622804C2211yescharacteristic, complemented
97#10622800C2211yescharacteristic
98#10622800C2211yescharacteristic
99#10622798C2211yescharacteristic, complemented
100#10622798C2211yescharacteristic, complemented
101#10622798C2211yescharacteristic, complemented
102#10622798C2211yescharacteristic, complemented
103#10622797C2211yescharacteristic, complemented
104#10622797C2211yescharacteristic, complemented
105Q16×Dic11C2211yescharacteristic, complemented
106#10622748C2211yescharacteristic
107#10622744C2211yescharacteristic
108#10622741C2211yescharacteristic, complemented
109#10622735C2211yescharacteristic, complemented
110#10622728C2211yescharacteristic
111C2×#66885C2211yescharacteristic
112#10622724C2211yescharacteristic, complemented
113C2×C8×Dic11C2211yescharacteristic, complemented
114#10622698C2211yescharacteristic
115#10622696C2211yescharacteristic
116#10622679C2211yescharacteristic, complemented
117#10622677C2211yescharacteristic, complemented
118#10622661C2211yescharacteristic
119#10622661C2211yescharacteristic
120#10622661C2211yescharacteristic, complemented
121#10622661C2211yescharacteristic, complemented
122#10622659C2211yescharacteristic
123#10622659C2211yescharacteristic
124#10622658C2211yescharacteristic, complemented
125#10622657C2211yescharacteristic, complemented
126#10622640C2211yescharacteristic
127C4×#4325C2211yescharacteristic
128C4×#4325C2211yescharacteristic, complemented
129#10622635C2211yescharacteristic, complemented
130D4×C11⋊C8C2211yescharacteristic
131#10622616C2211yescharacteristic, complemented
132#10622611C2211yescharacteristic, complemented
133#10622580C2211yescharacteristic, complemented
134C2×#66872C2211yescharacteristic, complemented
135#10622503C2211yescharacteristic
136#10622495C2211yescharacteristic, complemented
137#10622491C2211yescharacteristic, complemented
138#10622485C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic
140#10622484C2211yescharacteristic, complemented
141#10622483C2211yescharacteristic, complemented
142#10622482C2211yescharacteristic
143#10622482C2211yescharacteristic, complemented
144#10622476C2211yescharacteristic, complemented
145D11×#106C2211yescharacteristic, complemented
146#10622468C2211yescharacteristic, complemented
147#10622460C2211yescharacteristic
148#10622456C2211yescharacteristic
149#10622453C2211yescharacteristic, complemented
150#10622443C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic
152#10622432C2211yescharacteristic
153#10622432C2211yescharacteristic, complemented
154#10622432C2211yescharacteristic, complemented
155#10622430C2211yescharacteristic
156#10622430C2211yescharacteristic
157#10622430C2211yescharacteristic, complemented
158#10622430C2211yescharacteristic, complemented
159#10622430C2211yescharacteristic, complemented
160#10622430C2211yescharacteristic, complemented
161#10622425C2211yescharacteristic, complemented
162#10622425C2211yescharacteristic, complemented
163#10622424C2211yescharacteristic, complemented
164#10622424C2211yescharacteristic, complemented
165#10622422C2211yescharacteristic, complemented
166#10622420C2211yescharacteristic, complemented
167#10622420C2211yescharacteristic, complemented
168#10622418C2211yescharacteristic, complemented
169#10622416C2211yescharacteristic
170#10622416C2211yescharacteristic, complemented
171#10622413C2211yescharacteristic, complemented
172#10622413C2211yescharacteristic, complemented
173#10622412C2211yescharacteristic, complemented
174#10622412C2211yescharacteristic, complemented
175#10622408C2211yescharacteristic, complemented
176#10622408C2211yescharacteristic, complemented
177#10622407C2211yescharacteristic, complemented
178#10622404C2211yescharacteristic, complemented
179#10622401C2211yescharacteristic
180#10622401C2211yescharacteristic
181#10622401C2211yescharacteristic
182#10622401C2211yescharacteristic
183#10622401C2211yescharacteristic
184#10622401C2211yescharacteristic, complemented
185#10622401C2211yescharacteristic, complemented
186#10622401C2211yescharacteristic, complemented
187#10622401C2211yescharacteristic, complemented
188#10622401C2211yescharacteristic, complemented
189#10622401C2211yescharacteristic, complemented
190#10622401C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic
192#10622348C2211yescharacteristic
193#10622345C2211yescharacteristic
194#10622345C2211yescharacteristic
195(C22⋊D11)⋊C8C2211yescharacteristic, complemented
196(C22⋊D11)⋊C8C2211yescharacteristic, complemented
197#10622333C2211yescharacteristic, complemented
198#10622332C2211yescharacteristic, complemented
199#10622326C2211yescharacteristic
200#10622324C2211yescharacteristic
201#10622321C2211yescharacteristic, complemented
202#10622314C2211yescharacteristic, complemented
203C22×Q8×C11C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205C2×#4343C2311yescharacteristic
206C2×#4343C2311yescharacteristic
207C2×D4×D11—21no—
208C2×#4339—21no—
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×C4×D11—21no—
212C2×C11×Q16C2311yescharacteristic
213C2×C11×Q16C2311yescharacteristic
214C2×C11×Q16C2311yescharacteristic
215C2×C11×M16C2311yescharacteristic
216C22×C8×C11C2311yescharacteristic
217C11×C4⋊Q8—21no—
218C11×C4⋊Q8C2311yescharacteristic
219C11×#126—21no—
220C11×#125—21no—
221C11×#125C2311yescharacteristic
222C11×#123—21no—
223C11×C22⋊Q8—21no—
224C11×C22⋊Q8—21no—
225C11×C22⋊Q8C2311yescharacteristic
226C11×C22⋊Q8C2311yescharacteristic
227C11×C22⋊Q8C2311yescharacteristic
228C11×C22⋊Q8C2311yescharacteristic
229C4×Q8×C11C2311yescharacteristic
230C4×Q8×C11C2311yescharacteristic
231C4×D4×C11—21no—
232C4×D4×C11C2311yescharacteristic
233C11×#117—21no—
234C11×#117C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236#67000—21no—
237#67000—21no—
238#67000C2311yescharacteristic
239#67000C2311yescharacteristic
240#67000C2311yescharacteristic
241#67000C2311yescharacteristic
242#66999—21no—
243#66999—21no—
244#66999C2311yescharacteristic
245#66999C2311yescharacteristic
246Q8×Dic11—21no—
247Q8×Dic11—21no—
248Q8×Dic11—21no—
249Q8×Dic11—21no—
250Q8×Dic11C2311yescharacteristic
251Q8×Dic11C2311yescharacteristic
252Q8×Dic11C2311yescharacteristic
253Q8×Dic11C2311yescharacteristic
254Q8×Dic11C2311yescharacteristic
255Q8×Dic11C2311yescharacteristic
256Q8×Dic11C2311yescharacteristic
257Q8×Dic11C2311yescharacteristic
258C2×#4325—24no—
259C2×#4325—24no—
260C2×#4325C2311yescharacteristic
261C2×#4325C2311yescharacteristic
262C2×#4325C2311yescharacteristic
263C2×#4325C2311yescharacteristic
264C2×#4325C2311yescharacteristic
265C2×#4325C2311yescharacteristic
266C2×#4325C2311yescharacteristic
267C2×#4325C2311yescharacteristic
268C2×#4325C2311yescharacteristic
269C2×#4325C2311yescharacteristic
270#66992—21no—
271#66992D411yescharacteristic
272#66988D411yescharacteristic
273#66983—21no—
274#66983—21no—
275#66983C2311yescharacteristic
276#66983C2311yescharacteristic
277#66983C2311yescharacteristic
278#66983C2311yescharacteristic
279#66982—21no—
280C4×C22⋊D11—21no—
281C4×C22⋊D11—21no—
282C4×C22⋊D11C2311yescharacteristic
283C4×C22⋊D11C2311yescharacteristic
284C2×(C2×D11)⋊C4—21no—
285#66979—21no—
286#66979—21no—
287#66979C2311yescharacteristic
288#66979C2311yescharacteristic
289C2×C4⋊Dic11—21no—
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4×Dic11—21no—
292C2×C4×Dic11C2311yescharacteristic
293C22×C11⋊C8C2311yescharacteristic
294C22×C11⋊C8C2311yescharacteristic
295#66972—24no—
296C2×D88C2311yescharacteristic
297C2×D88C2311yescharacteristic
298C2×D88C2311yescharacteristic
299C2×#4313C2311yescharacteristic
300C2×C8×D11C2311yescharacteristic
301#66951—21no—
302#66951—21no—
303#66951—21no—
304#66951—21no—
305#66951—21no—
306#66951—21no—
307#66951—21no—
308#66951—21no—
309#66951—21no—
310#66951D411yescharacteristic
311#66950—21no—
312#66950—21no—
313#66950—21no—
314#66950—21no—
315#66950—21no—
316#66949—21no—
317#66949—21no—
318#66949—21no—
319#66948—21no—
320#66948—21no—
321#66948—21no—
322#66948—21no—
323#66948—21no—
324#66948C2311yescharacteristic
325#66948C2311yescharacteristic
326#66947—21no—
327#66947—21no—
328#66947—21no—
329#66947—21no—
330#66947—21no—
331#66947—21no—
332#66947—21no—
333#66946—21no—
334#66946—21no—
335#66946—21no—
336#66946—21no—
337#66946C2311yescharacteristic
338#66946C2311yescharacteristic
339#66946C2311yescharacteristic
340#66946C2311yescharacteristic
341#66946C2311yescharacteristic
342#66946C2311yescharacteristic
343#66946C2311yescharacteristic
344#66946C2311yescharacteristic
345#66945—21no—
346#66945—21no—
347#66945—21no—
348#66945—21no—
349C4⋊C4×D11—21no—
350C4⋊C4×D11—21no—
351C4⋊C4×D11—21no—
352C4⋊C4×D11C2311yescharacteristic
353C4⋊C4×D11C2311yescharacteristic
354#66943—21no—
355#66943C2311yescharacteristic
356#66943C2311yescharacteristic
357#66942—21no—
358#66942—21no—
359#66942—21no—
360#66942—21no—
361#66942D411yescharacteristic
362#66941—21no—
363#66941C2311yescharacteristic
364#66941C2311yescharacteristic
365#66939—21no—
366#66939—21no—
367#66939D411yescharacteristic
368#66938—21no—
369#66938—21no—
370#66938D411yescharacteristic
371#66937—21no—
372#66936—21no—
373#66936—21no—
374#66936—21no—
375#66936—21no—
376#66936—21no—
377#66935—21no—
378#66935—21no—
379#66935—21no—
380#66935—21no—
381(C22⋊D11)⋊C4—21no—
382(C22⋊D11)⋊C4—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385C22⋊C4×D11—21no—
386C22⋊C4×D11—21no—
387C22⋊C4×D11—21no—
388C22⋊C4×D11—21no—
389#66932—21no—
390#66932D411yescharacteristic
391#66931—21no—
392#66931D411yescharacteristic
393#66929—21no—
394#66928—21no—
395#66927C2311yescharacteristic
396C4×D44—21no—
397C4×D44—21no—
398C4×D44—21no—
399C4×D44—21no—
400C4×D44—21no—
401C4×D44—21no—
402C4×D44C2311yescharacteristic
403C4×D44C2311yescharacteristic
404#66925—21no—
405#66925—21no—
406#66925C2311yescharacteristic
407#66923—21no—
408#66923C2311yescharacteristic
409C4×Dic22—21no—
410C4×Dic22C2311yescharacteristic
411C11×#107C2311yescharacteristic
412C11×#106C2311yescharacteristic
413C11×#106C2311yescharacteristic
414C11×C4⋊C8C2311yescharacteristic
415C11×#103C2311yescharacteristic
416C11×#103C2311yescharacteristic
417C11×#103C2311yescharacteristic
418C11×#103C2311yescharacteristic
419C11×#103C2311yescharacteristic
420C11×#103C2311yescharacteristic
421C11×#103C2311yescharacteristic
422C11×#103C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×C22⋊C8C2311yescharacteristic
426C11×C22⋊C8C2311yescharacteristic
427C11×#97C2311yescharacteristic
428#66899C2311yescharacteristic
429#66899C2311yescharacteristic
430#66899C2311yescharacteristic
431#66899C2311yescharacteristic
432#66899C2311yescharacteristic
433#66899C2311yescharacteristic
434C22⋊(C11⋊C8)C2311yescharacteristic
435C22⋊(C11⋊C8)C2311yescharacteristic
436#66885C2311yescharacteristic
437#66885C2311yescharacteristic
438#66885C2311yescharacteristic
439#66885C2311yescharacteristic
440#66885C2311yescharacteristic
441#66885C2311yescharacteristic
442#66885C2311yescharacteristic
443#66885C2311yescharacteristic
444#66885C2311yescharacteristic
445#66885C2311yescharacteristic
446(C2×D11)⋊C8C2311yescharacteristic
447(C2×D11)⋊C8C2311yescharacteristic
448#66882C2311yescharacteristic
449#66881C2311yescharacteristic
450#66881C2311yescharacteristic
451#66879C2311yescharacteristic
452#66879C2311yescharacteristic
453#66879C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455Dic11⋊C8C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458C8×Dic11C2311yescharacteristic
459C8×Dic11C2311yescharacteristic
460C8×Dic11C2311yescharacteristic
461C8×Dic11C2311yescharacteristic
462C8×Dic11C2311yescharacteristic
463#66873C2311yescharacteristic
464#66873C2311yescharacteristic
465#66873C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66872C2311yescharacteristic
470#66872C2311yescharacteristic
471#66872C2311yescharacteristic
472#66872C2311yescharacteristic
473#66872C2311yescharacteristic
474#66872C2311yescharacteristic
475#66871C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479C4⋊(C11⋊C8)C2311yescharacteristic
480C4×C11⋊C8C2311yescharacteristic
481#61472—111nomaximal, Sylow
482C23×D11—21no—
483C23×D11—21no—
484C2×Q8×C11—21no—
485C2×Q8×C11—21no—
486C2×Q8×C11—22no—
487C2×Q8×C11—22no—
488C2×Q8×C11—41no—
489C2×Q8×C11—41no—
490C2×Q8×C11C2411yescharacteristic
491C2×Q8×C11C2411yescharacteristic
492C2×Q8×C11C2411yescharacteristic
493C2×Q8×C11C2411yescharacteristic
494C2×D4×C11C2×D411yescharacteristic
495C22×C4×C11—21no—
496C22×C4×C11—21no—
497C22×C4×C11—21no—
498C22×C4×C11C2411yescharacteristic
499C22×C4×C11C2411yescharacteristic
500C2×C22⋊D11—21no—
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11C2×D411yescharacteristic
505C2×C22⋊D11C2×D411yescharacteristic
506C22×Dic11—21no—
507C22×Dic11C2×D411yescharacteristic
508C22×Dic11C2×D411yescharacteristic
509#4343—22no—
510#4343—22no—
511#4343—41no—
512#4343—41no—
513D4×D11—82no—
514#4339—82no—
515C2×D44—21no—
516C2×D44—21no—
517C2×D44—21no—
518C2×D44—21no—
519C2×D44—22no—
520C2×D44—22no—
521C2×D44—21no—
522C2×D44—21no—
523C2×D44—21no—
524C2×D44—21no—
525C2×D44—41no—
526C2×D44—41no—
527C2×D44C2411yescharacteristic
528C2×D44C2411yescharacteristic
529C2×D44C2411yescharacteristic
530C2×D44C2411yescharacteristic
531C2×C4×D11—21no—
532C2×C4×D11—21no—
533C2×C4×D11—21no—
534C2×C4×D11—21no—
535C2×C4×D11—21no—
536C2×C4×D11—21no—
537C2×C4×D11—21no—
538C2×C4×D11—21no—
539C2×C4×D11—21no—
540C2×C4×D11—21no—
541C2×C4×D11—21no—
542C2×C4×D11—21no—
543C2×C4×D11—21no—
544C2×C4×D11—21no—
545C2×C4×D11—82no—
546C2×C4×D11C2411yescharacteristic
547C2×Dic22—21no—
548C2×Dic22—21no—
549C2×Dic22C2×D411yescharacteristic
550C11×Q16—22no—
551C11×Q16—41no—
552C11×Q16—41no—
553C11×M16—41no—
554C2×C8×C11—41no—
555C2×C8×C11C2411yescharacteristic
556C2×C8×C11C2411yescharacteristic
557C2×C8×C11C2411yescharacteristic
558C2×C8×C11C2411yescharacteristic
559C11×C4⋊C4—21no—
560C11×C4⋊C4—21no—
561C11×C4⋊C4—21no—
562C11×C4⋊C4—21no—
563C11×C4⋊C4—21no—
564C11×C4⋊C4—21no—
565C11×C4⋊C4—21no—
566C11×C4⋊C4—21no—
567C11×C4⋊C4—21no—
568C11×C4⋊C4—21no—
569C11×C4⋊C4—21no—
570C11×C4⋊C4C2×D411yescharacteristic
571C11×C4⋊C4C2411yescharacteristic
572C11×C4⋊C4C2411yescharacteristic
573C11×C4⋊C4C2411yescharacteristic
574C11×C4⋊C4C2411yescharacteristic
575C11×C22⋊C4—21no—
576C11×C22⋊C4—21no—
577C11×C22⋊C4—21no—
578C11×C22⋊C4—21no—
579C11×C22⋊C4—21no—
580C11×C22⋊C4C2×D411yescharacteristic
581C11×C22⋊C4C2×D411yescharacteristic
582C42×C11—21no—
583C42×C11—21no—
584C42×C11—21no—
585C42×C11C2411yescharacteristic
586C22⋊Dic11—21no—
587C22⋊Dic11C2×D411yescharacteristic
588C22⋊Dic11C2×D411yescharacteristic
589C22⋊Dic11C2×D411yescharacteristic
590C22⋊Dic11C2×D411yescharacteristic
591#4325—22no—
592#4325—22no—
593#4325—22no—
594#4325—22no—
595#4325—22no—
596#4325—22no—
597#4325—22no—
598#4325—41no—
599#4325—41no—
600#4325#4114yescomplemented
601(C2×D11)⋊C4—21no—
602(C2×D11)⋊C4—21no—
603(C2×D11)⋊C4—21no—
604(C2×D11)⋊C4—21no—
605(C2×D11)⋊C4—21no—
606(C2×D11)⋊C4—21no—
607(C2×D11)⋊C4—21no—
608(C2×D11)⋊C4—21no—
609(C2×D11)⋊C4—21no—
610(C2×D11)⋊C4—21no—
611(C2×D11)⋊C4—21no—
612(C2×D11)⋊C4—21no—
613(C2×D11)⋊C4—21no—
614(C2×D11)⋊C4—21no—
615(C2×D11)⋊C4—21no—
616(C2×D11)⋊C4—21no—
617(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
628(C2×D11)⋊C4C2×D411yescharacteristic
629(C2×D11)⋊C4C2×D411yescharacteristic
630(C2×D11)⋊C4C2×D411yescharacteristic
631C4⋊Dic11—21no—
632C4⋊Dic11—21no—
633C4⋊Dic11—21no—
634C4⋊Dic11—21no—
635C4⋊Dic11—21no—
636C4⋊Dic11—21no—
637C4⋊Dic11—21no—
638C4⋊Dic11—21no—
639C4⋊Dic11—21no—
640C4⋊Dic11—21no—
641C4⋊Dic11—21no—
642C4⋊Dic11C2×D411yescharacteristic
643C4⋊Dic11C2×D411yescharacteristic
644C4⋊Dic11C2×D411yescharacteristic
645C4⋊Dic11C2411yescharacteristic
646C4⋊Dic11C2411yescharacteristic
647C4⋊Dic11C2411yescharacteristic
648C4⋊Dic11C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
660Dic11⋊C4C2×D411yescharacteristic
661Dic11⋊C4C2×D411yescharacteristic
662Dic11⋊C4C2×D411yescharacteristic
663Dic11⋊C4C2×D411yescharacteristic
664Dic11⋊C4C2×D411yescharacteristic
665C4×Dic11—21no—
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×Dic11C2×D411yescharacteristic
675C4×Dic11C2×D411yescharacteristic
676C4×Dic11C2411yescharacteristic
677C4×Dic11C2411yescharacteristic
678C4×Dic11C2411yescharacteristic
679C2×C11⋊C8—22no—
680C2×C11⋊C8—22no—
681C2×C11⋊C8C2411yescharacteristic
682C2×C11⋊C8C2411yescharacteristic
683C2×C11⋊C8C2411yescharacteristic
684C2×C11⋊C8C2411yescharacteristic
685D88—22no—
686D88—41no—
687D88—41no—
688#4313—41no—
689C8×D11—22no—
690#3516—111no—
691#3513—111no—
692#3394—111no—
693#3381—111no—
694#3376—111no—
695#3371—111no—
696#3337—111no—
697#3337—111no—
698#3335—111no—
699#3326—111no—
700#3323—111no—
701#3318—111no—
702#3314—111no—
703#3312D1111yescharacteristic, complemented
704#3308—111no—
705#3282—111no—
706#3282—111no—
707D4×SD16—111no—
708#3174—111no—
709#3173—111no—
710#3168—111no—
711#3121—111no—
712#3120—111no—
713#3119—111no—
714#3118—111no—
715#3117—111no—
716#3114—111no—
717#2966—111no—
718#2952—111no—
719#2949—111no—
720C2×C4×SD16—111no—
721C23×C11C22×D411yescharacteristic
722C23×C11C22×D411yescharacteristic
723C22×D11—21no—
724C22×D11—21no—
725C22×D11—21no—
726C22×D11—21no—
727C22×D11—42no—
728C22×D11—42no—
729C22×D11—42no—
730C22×D11—81no—
731C22×D11—81no—
732C22×D11—81no—
733C22×D11C22×D411yescharacteristic
734Q8×C11—21no—
735Q8×C11—21no—
736Q8×C11—21no—
737Q8×C11—21no—
738Q8×C11—21no—
739Q8×C11—21no—
740Q8×C11—21no—
741Q8×C11—42no—
742Q8×C11—42no—
743Q8×C11C2×#4112yes—
744D4×C11—22no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—42no—
758C2×C4×C11—42no—
759C2×C4×C11—42no—
760C2×C4×C11C22×D411yescharacteristic
761C2×C4×C11C22×D411yescharacteristic
762C2×C4×C11C22×D411yescharacteristic
763C2×C4×C11C22×D411yescharacteristic
764C2×C4×C11C2511yescharacteristic
765C22⋊D11—22no—
766C22⋊D11—41no—
767C22⋊D11—42no—
768C22⋊D11—42no—
769C22⋊D11—81no—
770C22⋊D11—81no—
771C2×Dic11—22no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—41no—
777C2×Dic11—81no—
778C2×Dic11C22×D411yescharacteristic
779C2×Dic11C22×D411yescharacteristic
780C2×Dic11C22×D411yescharacteristic
781C2×Dic11C22×D411yescharacteristic
782C2×Dic11C22×D411yescharacteristic
783C2×Dic11C22×D411yescharacteristic
784C2×Dic11C22×D411yescharacteristic
785D44—21no—
786D44—21no—
787D44—21no—
788D44—21no—
789D44—21no—
790D44—21no—
791D44—21no—
792D44—42no—
793D44—42no—
794D44—42no—
795D44—42no—
796D44—81no—
797D44—81no—
798D44—81no—
799D44—81no—
800D44C2×#4112yes—
801C4×D11—21no—
802C4×D11—21no—
803C4×D11—42no—
804C4×D11—42no—
805C4×D11—81no—
806C4×D11—81no—
807C4×D11—81no—
808C4×D11—81no—
809C4×D11—81no—
810C4×D11—81no—
811C4×D11—81no—
812C4×D11—81no—
813C4×D11—81no—
814C4×D11—81no—
815C4×D11—81no—
816C4×D11—81no—
817Dic22—41no—
818Dic22—81no—
819Dic22—81no—
820C8×C11—21no—
821C8×C11—21no—
822C8×C11—21no—
823C8×C11—21no—
824C11⋊C8—21no—
825C11⋊C8—21no—
826C11⋊C8—21no—
827C11⋊C8C2×#4112yes—
828C2×#135—111no—
829C22×SD16—111no—
830C22×SD16—111no—
831#559—111no—
832#557—111no—
833#556—111no—
834#556—221no—
835#554—111no—
836#554—111no—
837#554—221no—
838#553—111no—
839#553—111no—
840#553—221no—
841#553—221no—
842#552—111no—
843#552—221no—
844#552C2×D1111yescharacteristic
845#551—221no—
846#551—221no—
847D4×Q8C2×D1111yescharacteristic
848#548—111no—
849#548—111no—
850#547—111no—
851#546—111no—
852#546—111no—
853#546—221no—
854D42—111no—
855#542—111no—
856#542—111no—
857#542—221no—
858#541—111no—
859#541—221no—
860#540—111no—
861#539—221no—
862#538—221no—
863#529—111no—
864#529—111no—
865#529—111no—
866#529—221no—
867#529—221no—
868#525—221no—
869C2×#123—221no—
870#520—111no—
871#520—111no—
872#519—111no—
873#518—111no—
874C2×C4×Q8—111no—
875C2×C4×D4—111no—
876#499—111no—
877#499—111no—
878#498—111no—
879#495—111no—
880#495—111no—
881#492—111no—
882#491C2×D1111yescharacteristic, complemented
883#490—111no—
884#489—111no—
885#489—111no—
886#488—111no—
887#488—111no—
888#485—111no—
889#485C2×D1111yescharacteristic, complemented
890#484—111no—
891#484—111no—
892#483—111no—
893#483C2×D1111yescharacteristic, complemented
894#482—111no—
895#482—111no—
896#481—111no—
897#481—111no—
898#480—111no—
899#480—111no—
900#479—111no—
901#479—111no—
902#479—111no—
903#479C2×D1111yescharacteristic, complemented
904#478—111no—
905#478—111no—
906#478—111no—
907#478—111no—
908#477—111no—
909#476—111no—
910#475—111no—
911#474—111no—
912#470C2×D1111yescharacteristic, complemented
913#469—111no—
914#468—111no—
915#468—111no—
916#467C2×D1111yescharacteristic, complemented
917#466—111no—
918#465—111no—
919#465—111no—
920#465—111no—
921#465—111no—
922#465—111no—
923#465—111no—
924#464—111no—
925#464—111no—
926#464—111no—
927#464—111no—
928#463—111no—
929#463—111no—
930#463—111no—
931#463—111no—
932#462C2×D1111yescharacteristic, complemented
933#461—111no—
934#460—111no—
935#459—111no—
936#452—111no—
937#452—111no—
938#451C2×D1111yescharacteristic, complemented
939#451C2×D1111yescharacteristic, complemented
940#450—111no—
941#450—111no—
942#449—111no—
943#449—111no—
944#448—111no—
945#448—111no—
946#447—111no—
947#447—111no—
948#446—111no—
949C8×Q8—111no—
950#442—111no—
951#442—111no—
952#442—111no—
953#441—111no—
954#441—111no—
955#441C2×D1111yescharacteristic, complemented
956#440—111no—
957#440—111no—
958#440—111no—
959#440—111no—
960#440—111no—
961#440—111no—
962C4×Q16—111no—
963C4×SD16—111no—
964C4×SD16—111no—
965C4×SD16—111no—
966C4×SD16—111no—
967C4×SD16—111no—
968C4×SD16—111no—
969C4×SD16—111no—
970C4×SD16—111no—
971C4×SD16—111no—
972C4×SD16—111no—
973C4×SD16—111no—
974C4×SD16—111no—
975C4×SD16—111no—
976C4×SD16—111no—
977C4×D8—111no—
978#436—111no—
979#435—111no—
980#435C2×D1111yescharacteristic
981C8×D4—111no—
982C8×D4—111no—
983C8×D4—111no—
984#433—111no—
985#433—111no—
986#432—111no—
987#427—111no—
988C2×#106—111no—
989C2×#106—111no—
990#419C2×D1111yescharacteristic, complemented
991#418—111no—
992#417—111no—
993#417—111no—
994C2×#103C2×D1111yescharacteristic, complemented
995C2×#102—111no—
996#405—111no—
997#405—111no—
998C2×C4×C8—111no—
999C22×C11—21no—
1000C22×C11—21no—
1001C22×C11—21no—
1002C22×C11—21no—
1003C22×C11—21no—
1004C22×C11#57712yes—
1005C22×C11C23×D411yescharacteristic
1006C2×D11—21no—
1007C2×D11—22no—
1008C2×D11—21no—
1009C2×D11—21no—
1010C2×D11—41no—
1011C2×D11—41no—
1012C2×D11—41no—
1013C2×D11—41no—
1014C2×D11—41no—
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—84no—
1022C2×D11—162no—
1023C4×C11—21no—
1024C4×C11—21no—
1025C4×C11—21no—
1026C4×C11—22no—
1027C4×C11—21no—
1028C4×C11—41no—
1029C4×C11—41no—
1030C4×C11—41no—
1031C4×C11—41no—
1032C4×C11—41no—
1033C4×C11—41no—
1034C4×C11—41no—
1035C4×C11C22×#4111yescharacteristic
1036C4×C11#58511yescharacteristic
1037Dic11—21no—
1038Dic11—21no—
1039Dic11—21no—
1040Dic11—21no—
1041Dic11—21no—
1042Dic11—21no—
1043Dic11—21no—
1044Dic11—41no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11—41no—
1048C2×#41—111no—
1049C2×#41—111no—
1050C2×#41—221no—
1051C22×Q8C22×D1111yescharacteristic
1052C22×Q8C22×D1111yescharacteristic
1053C22×D4—111no—
1054C22×D4—111no—
1055C22×D4—221no—
1056C23×C4—221no—
1057#135—224no—
1058C2×Q16C22×D1111yescharacteristic
1059C2×Q16C22×D1111yescharacteristic
1060C2×Q16C22×D1111yescharacteristic
1061C2×SD16—111no—
1062C2×SD16—111no—
1063C2×SD16—111no—
1064C2×SD16—111no—
1065C2×SD16—111no—
1066C2×SD16—111no—
1067C2×SD16—111no—
1068C2×SD16—111no—
1069C2×SD16—111no—
1070C2×SD16—111no—
1071C2×SD16—224no—
1072C2×SD16—224no—
1073C2×D8—111no—
1074C2×D8—111no—
1075C2×D8—111no—
1076C2×M16—111no—
1077C2×M16C22×D1111yescharacteristic
1078C22×C8—111no—
1079C22×C8—111no—
1080C22×C8—111no—
1081C22×C8C22×D1111yescharacteristic
1082C4⋊Q8—21no—
1083C4⋊Q8—111no—
1084C4⋊Q8—111no—
1085C4⋊Q8—221no—
1086C4⋊Q8C22×D1111yescharacteristic
1087#127—111no—
1088#126—21no—
1089#126—111no—
1090#126—111no—
1091#126—221no—
1092#126—221no—
1093#126—221no—
1094#126—221no—
1095#126—221no—
1096#126—221no—
1097#126—221no—
1098#126—221no—
1099#126—221no—
1100#126—221no—
1101#126—221no—
1102#125—21no—
1103#125—111no—
1104#125—111no—
1105#125—111no—
1106#125—111no—
1107#125—221no—
1108#125—221no—
1109#125—221no—
1110#125—221no—
1111#125—221no—
1112#125—221no—
1113#125C22×D1111yescharacteristic
1114#124—111no—
1115#124—111no—
1116#124—111no—
1117#124—111no—
1118#124—111no—
1119#124—221no—
1120#124—221no—
1121#124—221no—
1122#124—221no—
1123#124—221no—
1124#123—21no—
1125#123—111no—
1126#123—111no—
1127#123—221no—
1128#123—221no—
1129#123—221no—
1130#123—221no—
1131#123—221no—
1132#123—221no—
1133#123—221no—
1134#123—221no—
1135#123—221no—
1136#123—221no—
1137#123—221no—
1138#123—221no—
1139#123—221no—
1140#123—221no—
1141#123—221no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—111no—
1145C22⋊Q8—111no—
1146C22⋊Q8—111no—
1147C22⋊Q8—221no—
1148C22⋊Q8—221no—
1149C22⋊Q8—221no—
1150C22⋊Q8—221no—
1151C22⋊Q8—221no—
1152C22⋊Q8—221no—
1153C22⋊Q8—221no—
1154C22⋊Q8—221no—
1155C22⋊Q8—221no—
1156C22⋊Q8—221no—
1157C22⋊Q8—221no—
1158C22⋊Q8C22×D1111yescharacteristic
1159C22⋊Q8C22×D1111yescharacteristic
1160C22⋊Q8C22×D1111yescharacteristic
1161C22⋊Q8C22×D1111yescharacteristic
1162#121—111no—
1163#121—111no—
1164#121—111no—
1165#121—111no—
1166#121—111no—
1167#121—111no—
1168#121—111no—
1169#121—221no—
1170#121—221no—
1171#121—221no—
1172#121—221no—
1173#121—221no—
1174#121—221no—
1175#121—221no—
1176#121—221no—
1177#121—221no—
1178#120—221no—
1179#120—221no—
1180#120—221no—
1181#120—221no—
1182C4×Q8—111no—
1183C4×Q8—111no—
1184C4×Q8—111no—
1185C4×Q8—111no—
1186C4×Q8—111no—
1187C4×Q8—111no—
1188C4×Q8—111no—
1189C4×Q8—111no—
1190C4×Q8—111no—
1191C4×Q8—221no—
1192C4×Q8—221no—
1193C4×Q8—221no—
1194C4×Q8—221no—
1195C4×Q8—221no—
1196C4×Q8C22×D1111yescharacteristic
1197C4×Q8C22×D1111yescharacteristic
1198C4×D4—21no—
1199C4×D4—111no—
1200C4×D4—111no—
1201C4×D4—111no—
1202C4×D4—111no—
1203C4×D4—111no—
1204C4×D4—111no—
1205C4×D4—111no—
1206C4×D4—111no—
1207C4×D4—111no—
1208C4×D4—111no—
1209C4×D4—111no—
1210C4×D4—111no—
1211C4×D4—221no—
1212C4×D4—221no—
1213C4×D4—221no—
1214C4×D4—221no—
1215C4×D4—221no—
1216C4×D4—221no—
1217C4×D4—221no—
1218C4×D4—221no—
1219C4×D4—221no—
1220C4×D4—221no—
1221C4×D4—221no—
1222C4×D4—221no—
1223C4×D4—221no—
1224C4×D4—221no—
1225C4×D4—221no—
1226C4×D4—221no—
1227C4×D4C22×D1111yescharacteristic
1228#117—21no—
1229#117—111no—
1230#117—111no—
1231#117—111no—
1232#117—221no—
1233#117—221no—
1234#117—221no—
1235#117—221no—
1236#117—221no—
1237#117—221no—
1238#117—221no—
1239#117—221no—
1240#117C22×D1111yescharacteristic
1241C2×C4⋊C4—111no—
1242C2×C4⋊C4—111no—
1243C2×C4⋊C4—111no—
1244C2×C4⋊C4—221no—
1245C2×C4⋊C4—221no—
1246C2×C4⋊C4—221no—
1247C2×C4⋊C4—221no—
1248C2×C4⋊C4C22×D1111yescharacteristic
1249C2×C22⋊C4—221no—
1250C2×C22⋊C4—221no—
1251C2×C22⋊C4—221no—
1252C2×C22⋊C4—221no—
1253C2×C22⋊C4—221no—
1254C2×C42—111no—
1255C2×C42—221no—
1256#107—111no—
1257#107—111no—
1258#107—111no—
1259#107—111no—
1260#107—111no—
1261#107C22×D1111yescharacteristic
1262#106—111no—
1263#106—111no—
1264#106—111no—
1265#106—111no—
1266#106—111no—
1267#106—111no—
1268#106—111no—
1269#106—111no—
1270#106C22×D1111yescharacteristic
1271#106C22×D1111yescharacteristic
1272C4⋊C8—111no—
1273C4⋊C8—111no—
1274C4⋊C8—111no—
1275C4⋊C8—111no—
1276C4⋊C8—111no—
1277C4⋊C8C22×D1111yescharacteristic
1278#103—111no—
1279#103—111no—
1280#103—111no—
1281#103—111no—
1282#103—111no—
1283#103—111no—
1284#103C22×D1111yescharacteristic
1285#103C22×D1111yescharacteristic
1286#103C22×D1111yescharacteristic
1287#103C22×D1111yescharacteristic
1288#103C22×D1111yescharacteristic
1289#103C22×D1111yescharacteristic
1290#103C22×D1111yescharacteristic
1291#103C22×D1111yescharacteristic
1292#103C22×D1111yescharacteristic
1293#103C22×D1111yescharacteristic
1294#102—111no—
1295#102—111no—
1296#102—111no—
1297#102—111no—
1298#102—111no—
1299#102—111no—
1300#102—111no—
1301#102—111no—
1302#102—111no—
1303#102—111no—
1304#102—111no—
1305#102—111no—
1306#102—111no—
1307#102—111no—
1308#102—111no—
1309#102—111no—
1310C22⋊C8—111no—
1311C22⋊C8—111no—
1312C22⋊C8—111no—
1313C22⋊C8—111no—
1314C22⋊C8C22×D1111yescharacteristic
1315C22⋊C8C22×D1111yescharacteristic
1316#97—111no—
1317#97—111no—
1318#97—111no—
1319#97C22×D1111yescharacteristic
1320C4×C8—111no—
1321C4×C8—111no—
1322C4×C8—111no—
1323C4×C8—111no—
1324C4×C8—111no—
1325C4×C8—111no—
1326C2×C11—22no—
1327C2×C11—41no—
1328C2×C11D4×#4111yescharacteristic
1329C2×C11C2×#57711yescharacteristic
1330C2×C11#358411yescharacteristic
1331D11—41no—
1332D11—42no—
1333D11—81no—
1334D11—81no—
1335D11—81no—
1336C24—221no—
1337C24—221no—
1338#41—222no—
1339#41—222no—
1340#41—441no—
1341#41—441no—
1342#41—882no—
1343C2×Q8—21no—
1344C2×Q8—21no—
1345C2×Q8—22no—
1346C2×Q8—22no—
1347C2×Q8—41no—
1348C2×Q8—41no—
1349C2×Q8—111no—
1350C2×Q8—221no—
1351C2×Q8—221no—
1352C2×Q8C23×D1111yescharacteristic
1353C2×Q8C23×D1111yescharacteristic
1354C2×Q8C23×D1111yescharacteristic
1355C2×Q8C23×D1111yescharacteristic
1356C2×D4—111no—
1357C2×D4—111no—
1358C2×D4—111no—
1359C2×D4—111no—
1360C2×D4—111no—
1361C2×D4—111no—
1362C2×D4—222no—
1363C2×D4—222no—
1364C2×D4—221no—
1365C2×D4—221no—
1366C2×D4—221no—
1367C2×D4—221no—
1368C2×D4—221no—
1369C2×D4—221no—
1370C2×D4—221no—
1371C2×D4—221no—
1372C2×D4—221no—
1373C2×D4—221no—
1374C2×D4—221no—
1375C2×D4—221no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—882no—
1379C2×D4D4×D1111yescharacteristic
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—111no—
1384C22×C4—111no—
1385C22×C4—111no—
1386C22×C4—221no—
1387C22×C4—221no—
1388C22×C4—221no—
1389C22×C4—221no—
1390C22×C4—221no—
1391C22×C4—221no—
1392C22×C4—221no—
1393C22×C4—221no—
1394C22×C4—221no—
1395C22×C4—221no—
1396C22×C4—221no—
1397C22×C4—221no—
1398C22×C4—221no—
1399C22×C4—221no—
1400C22×C4—221no—
1401C22×C4—882no—
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404Q16—22no—
1405Q16—41no—
1406Q16—41no—
1407SD16—114no—
1408SD16—222no—
1409SD16—222no—
1410SD16—222no—
1411SD16—222no—
1412SD16—222no—
1413SD16—222no—
1414SD16—222no—
1415SD16—441no—
1416SD16—441no—
1417D8—222no—
1418D8—441no—
1419D8—441no—
1420M16—41no—
1421M16—441no—
1422C2×C8—41no—
1423C2×C8—111no—
1424C2×C8—111no—
1425C2×C8—111no—
1426C2×C8—111no—
1427C2×C8—222no—
1428C2×C8—222no—
1429C2×C8—222no—
1430C2×C8C23×D1111yescharacteristic
1431C2×C8C23×D1111yescharacteristic
1432C2×C8C23×D1111yescharacteristic
1433C2×C8C23×D1111yescharacteristic
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—111no—
1446C4⋊C4—111no—
1447C4⋊C4—111no—
1448C4⋊C4—111no—
1449C4⋊C4—111no—
1450C4⋊C4—111no—
1451C4⋊C4—111no—
1452C4⋊C4—111no—
1453C4⋊C4—111no—
1454C4⋊C4—111no—
1455C4⋊C4—111no—
1456C4⋊C4—111no—
1457C4⋊C4—111no—
1458C4⋊C4—221no—
1459C4⋊C4—221no—
1460C4⋊C4—221no—
1461C4⋊C4—221no—
1462C4⋊C4—221no—
1463C4⋊C4—221no—
1464C4⋊C4—221no—
1465C4⋊C4—221no—
1466C4⋊C4—221no—
1467C4⋊C4—221no—
1468C4⋊C4—221no—
1469C4⋊C4—221no—
1470C4⋊C4—221no—
1471C4⋊C4—221no—
1472C4⋊C4—221no—
1473C4⋊C4—221no—
1474C4⋊C4—221no—
1475C4⋊C4—221no—
1476C4⋊C4—221no—
1477C4⋊C4—221no—
1478C4⋊C4—221no—
1479C4⋊C4D4×D1111yescharacteristic
1480C4⋊C4C23×D1111yescharacteristic
1481C4⋊C4C23×D1111yescharacteristic
1482C4⋊C4C23×D1111yescharacteristic
1483C4⋊C4C23×D1111yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—111no—
1490C22⋊C4—111no—
1491C22⋊C4—111no—
1492C22⋊C4—111no—
1493C22⋊C4—111no—
1494C22⋊C4—111no—
1495C22⋊C4—111no—
1496C22⋊C4—111no—
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—221no—
1517C22⋊C4—221no—
1518C22⋊C4—221no—
1519C22⋊C4—221no—
1520C22⋊C4—221no—
1521C22⋊C4—221no—
1522C22⋊C4—221no—
1523C22⋊C4—221no—
1524C22⋊C4D4×D1111yescharacteristic
1525C22⋊C4D4×D1111yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—111no—
1530C42—111no—
1531C42—111no—
1532C42—111no—
1533C42—111no—
1534C42—221no—
1535C42—221no—
1536C42—221no—
1537C42—221no—
1538C42—221no—
1539C42—221no—
1540C42—221no—
1541C42—221no—
1542C42—221no—
1543C42C23×D1111yescharacteristic
1544C11#6147211yescharacteristic, complemented, Sylow
1545C23—111no—
1546C23—221no—
1547C23—221no—
1548C23—221no—
1549C23—221no—
1550C23—442no—
1551C23—442no—
1552C23—442no—
1553C23—881no—
1554C23—881no—
1555C23—881no—
1556C23C2×D4×D1111yescharacteristic
1557C23C2×D4×D1111yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—42no—
1566Q8—42no—
1567Q8—441no—
1568Q8—881no—
1569Q8—881no—
1570Q8#41×D1112yes—
1571D4—22no—
1572D4—112no—
1573D4—222no—
1574D4—221no—
1575D4—221no—
1576D4—221no—
1577D4—221no—
1578D4—221no—
1579D4—221no—
1580D4—221no—
1581D4—442no—
1582D4—442no—
1583D4—442no—
1584D4—442no—
1585D4—441no—
1586D4—442no—
1587D4—442no—
1588D4—881no—
1589D4—881no—
1590D4—881no—
1591D4—881no—
1592D4—881no—
1593D4—881no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—111no—
1610C2×C4—111no—
1611C2×C4—111no—
1612C2×C4—111no—
1613C2×C4—111no—
1614C2×C4—111no—
1615C2×C4—111no—
1616C2×C4—222no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—442no—
1624C2×C4—442no—
1625C2×C4—441no—
1626C2×C4—881no—
1627C2×C4—881no—
1628C2×C4—881no—
1629C2×C4—881no—
1630C2×C4—881no—
1631C2×C4—881no—
1632C2×C4—881no—
1633C2×C4—881no—
1634C2×C4—881no—
1635C2×C4—881no—
1636C2×C4—881no—
1637C2×C4—881no—
1638C2×C4—881no—
1639C2×C4C2×D4×D1111yescharacteristic
1640C2×C4C2×D4×D1111yescharacteristic
1641C2×C4C2×D4×D1111yescharacteristic
1642C2×C4C2×D4×D1111yescharacteristic
1643C2×C4C24×D1111yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—112no—
1649C8—221no—
1650C8—221no—
1651C8—221no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—221no—
1658C22—221no—
1659C22—222no—
1660C22—221no—
1661C22—441no—
1662C22—441no—
1663C22—441no—
1664C22—441no—
1665C22—441no—
1666C22—441no—
1667C22—441no—
1668C22—441no—
1669C22—441no—
1670C22—441no—
1671C22—441no—
1672C22—884no—
1673C22—1762no—
1674C22#1062330912yes—
1675C22C22×D4×D1111yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—22no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—221no—
1689C4—221no—
1690C4—221no—
1691C4—221no—
1692C4—221no—
1693C4—221no—
1694C4—221no—
1695C4—441no—
1696C4—441no—
1697C4—441no—
1698C4—441no—
1699C4C2×#41×D1111yescharacteristic
1700C4#1062345511yescharacteristic
1701C2—22no—
1702C2—41no—
1703C2—441no—
1704C2—442no—
1705C2—881no—
1706C2—881no—
1707C2—881no—
1708C2#1308210011yescharacteristic
1709C2C2×#1062330911yescharacteristic
1710C2#1308338611yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3312C2
socleC22×C11C23×D4
hypercenter#3312D11
hypocenterC11#61472
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3312

Complements

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

NH ≅ G/Ntype
1. #13082610C2semidirect
2. #13082561C2semidirect
3. #13081611C2semidirect
4. #13081494C2semidirect
5. #13081438C2semidirect
6. #13081385C2semidirect
7. #13080998C2semidirect
8. #13080995C2semidirect
9. #13080966C2semidirect
10. #13080865C2semidirect
11. #13080838C2semidirect
12. #13080759C2semidirect
13. #13080703C2semidirect
14. #13080603C2semidirect
15. #13080316C2semidirect
16. #13080316C2semidirect
17. D4×#4325C2semidirect
18. #13079247C2semidirect
19. #13079234C2semidirect
20. #13079187C2semidirect
21. #13078846C2semidirect
22. #13078829C2semidirect
23. #13078822C2semidirect
24. #13078803C2semidirect
25. #13078788C2semidirect
26. #13078757C2semidirect
27. #13077586C2semidirect
28. #13077496C2semidirect
29. #13077471C2semidirect
30. C2×#10622401C2semidirect
31. C11×#3312C2semidirect
34. #10623348C22semidirect
35. #10623348C22semidirect
36. #10623343C22semidirect
37. C2×Q8×Dic11C22semidirect
42. #10623263C22semidirect
44. #10623262C22semidirect
55. #10623174C22semidirect
57. #10623170C22semidirect
59. #10623166C22semidirect
64. #10623155C22semidirect
67. #10623105C22semidirect
68. #10623100C22semidirect
80. C11×#491C22semidirect
81. C11×#485C22semidirect
82. C11×#483C22semidirect
83. C11×#479C22semidirect
84. C11×#470C22semidirect
85. C11×#467C22semidirect
86. C11×#462C22semidirect
87. C11×#451C22semidirect
88. C11×#451C22semidirect
89. C11×#441C22semidirect
91. C11×#419C22semidirect
92. C2×C11×#103C22semidirect
95. #10622804C22semidirect
96. #10622804C22semidirect
99. #10622798C22semidirect
100. #10622798C22semidirect
101. #10622798C22semidirect
102. #10622798C22semidirect
103. #10622797C22semidirect
104. #10622797C22semidirect
105. Q16×Dic11C22semidirect
108. #10622741C22semidirect
109. #10622735C22semidirect
112. #10622724C22semidirect
113. C2×C8×Dic11C22semidirect
116. #10622679C22semidirect
117. #10622677C22semidirect
120. #10622661C22semidirect
121. #10622661C22semidirect
124. #10622658C22semidirect
125. #10622657C22semidirect
128. C4×#4325C22semidirect
129. #10622635C22semidirect
131. #10622616C22semidirect
132. #10622611C22semidirect
133. #10622580C22semidirect
134. C2×#66872C22semidirect
136. #10622495C22semidirect
137. #10622491C22semidirect
138. #10622485C22semidirect
140. #10622484C22semidirect
141. #10622483C22semidirect
143. #10622482C22semidirect
144. #10622476C22semidirect
145. D11×#106C22semidirect
146. #10622468C22semidirect
149. #10622453C22semidirect
150. #10622443C22semidirect
153. #10622432C22semidirect
154. #10622432C22semidirect
157. #10622430C22semidirect
158. #10622430C22semidirect
159. #10622430C22semidirect
160. #10622430C22semidirect
161. #10622425C22semidirect
162. #10622425C22semidirect
163. #10622424C22semidirect
164. #10622424C22semidirect
165. #10622422C22semidirect
166. #10622420C22semidirect
167. #10622420C22semidirect
168. #10622418C22semidirect
170. #10622416C22semidirect
171. #10622413C22semidirect
172. #10622413C22semidirect
173. #10622412C22semidirect
174. #10622412C22semidirect
175. #10622408C22semidirect
176. #10622408C22semidirect
177. #10622407C22semidirect
178. #10622404C22semidirect
184. #10622401C22semidirect
185. #10622401C22semidirect
186. #10622401C22semidirect
187. #10622401C22semidirect
188. #10622401C22semidirect
189. #10622401C22semidirect
190. #10622401C22semidirect
195. (C22⋊D11)⋊C8C22semidirect
196. (C22⋊D11)⋊C8C22semidirect
197. #10622333C22semidirect
198. #10622332C22semidirect
201. #10622321C22semidirect
202. #10622314C22semidirect
600. #4325#41semidirect
703. #3312D11semidirect
882. #491C2×D11semidirect
889. #485C2×D11semidirect
893. #483C2×D11semidirect
903. #479C2×D11semidirect
912. #470C2×D11semidirect
916. #467C2×D11semidirect
932. #462C2×D11semidirect
938. #451C2×D11semidirect
939. #451C2×D11semidirect
955. #441C2×D11semidirect
990. #419C2×D11semidirect
994. C2×#103C2×D11semidirect
1544. C11#61472semidirect

Maximal subgroups

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

subgroupindex
#130826102
#130825612
#130816112
#130814942
#130814382
#130813852
#130809982
#130809952
#130809662
#130808652
#130808382
#130807592
#130807032
#130806032
#130803162
D4×#43252
#130792472
#130792342
#130791872
#130788462
#130788292
#130788222
#130788032
#130787882
#130787572
#130775862
#130774962
#130774712
C2×#106224012
C11×#33122
#6147211