Finite Group Databasebeta

← #15635289

Subgroups — #15635289

Order 2816.

1926 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082233C211yesmaximal, characteristic, complemented
2#13082220C211yesmaximal, characteristic, complemented
3#13081613C211yesmaximal, characteristic, complemented
4#13081492C211yesmaximal, characteristic, complemented
5#13081313C211yesmaximal, characteristic, complemented
6#13081266C211yesmaximal, characteristic, complemented
7#13081000C211yesmaximal, characteristic, complemented
8#13080991C211yesmaximal, characteristic, complemented
9#13080969C211yesmaximal, characteristic, complemented
10#13080523C211yesmaximal, characteristic, complemented
11#13080514C211yesmaximal, characteristic, complemented
12#13080488C211yesmaximal, characteristic, complemented
13#13080456C211yesmaximal, characteristic, complemented
14#13080447C211yesmaximal, characteristic, complemented
15#13080425C211yesmaximal, characteristic, complemented
16#13080325C211yesmaximal, characteristic, complemented
17#13080323C211yesmaximal, characteristic, complemented
18SD16×C22⋊D11C211yesmaximal, characteristic, complemented
19#13079186C211yesmaximal, characteristic, complemented
20#13079182C211yesmaximal, characteristic, complemented
21#13079172C211yesmaximal, characteristic, complemented
22#13078696C211yesmaximal, characteristic, complemented
23#13078694C211yesmaximal, characteristic, complemented
24#13078683C211yesmaximal, characteristic, complemented
25#13078674C211yesmaximal, characteristic, complemented
26#13078667C211yesmaximal, characteristic, complemented
27#13078663C211yesmaximal, characteristic, complemented
28C8×#4339C211yesmaximal, characteristic, complemented
29C4×#66969C211yesmaximal, characteristic, complemented
30C4×SD16×D11C211yesmaximal, characteristic, complemented
31C2×C4×C11×SD16C211yesmaximal, characteristic, complemented
32C22×C11×SD16C2211yescharacteristic
33C2×C4×Q8×C11C2211yescharacteristic, complemented
34C2×C4×D4×C11C2211yescharacteristic
35#10623348C2211yescharacteristic, complemented
36Q8×C22⋊D11C2211yescharacteristic
37#10623337C2211yescharacteristic
38D4×C22⋊D11C2211yescharacteristic
39#10623322—21no—
40C2×C4×C22⋊D11—21no—
41C2×#66969C2211yescharacteristic
42C2×SD16×D11C2211yescharacteristic
43#10623112—21no—
44#10623112C2211yescharacteristic, complemented
45#10623111—21no—
46#10623111C2211yescharacteristic, complemented
47#10623109—21no—
48#10623109C2211yescharacteristic, complemented
49#10623107C2211yescharacteristic, complemented
50C4×#4343C2211yescharacteristic, complemented
51C4×Q8×D11C2211yescharacteristic, complemented
52#10623100C2211yescharacteristic, complemented
53#10623099—21no—
54#10623099C2211yescharacteristic, complemented
55#10623090C2211yescharacteristic
56#10623089C2211yescharacteristic
57#10623088C2211yescharacteristic
58#10623087—21no—
59#10623085C2211yescharacteristic
60#10623079C2211yescharacteristic
61#10623078—21no—
62C4×D4×D11C2211yescharacteristic
63#10623071—21no—
64#10623070C2211yescharacteristic
65#10623069—21no—
66C4×#4341C2211yescharacteristic
67#10623045C2211yescharacteristic
68#10623044—21no—
69#10623044C2211yescharacteristic, complemented
70#10623042C2211yescharacteristic
71#10623038—21no—
72#10623038C2211yescharacteristic
73#10623026—21no—
74#10623021—21no—
75#10623010—21no—
76#10623010C2211yescharacteristic
77#10623010C2211yescharacteristic, complemented
78C4×#4339—21no—
79C4×#4339C2211yescharacteristic
80C4×C11×SD16C2211yescharacteristic
81C4×C11×SD16C2211yescharacteristic
82C4×C11×SD16C2211yescharacteristic
83C4×C11×SD16C2211yescharacteristic
84C4×C11×SD16C2211yescharacteristic, complemented
85C4×C11×SD16C2211yescharacteristic, complemented
86C4×C11×SD16C2211yescharacteristic, complemented
87C4×C11×SD16C2211yescharacteristic, complemented
88C2×C11×#106C2211yescharacteristic, complemented
89C2×C11×#103C2211yescharacteristic, complemented
90C2×C11×#102C2211yescharacteristic
91C2×C4×C8×C11C2211yescharacteristic, complemented
92#10622841C2211yescharacteristic, complemented
93#10622840C2211yescharacteristic
94#10622831C2211yescharacteristic
95#10622830C2211yescharacteristic
96#10622788C2211yescharacteristic
97#10622786C2211yescharacteristic
98#10622785C2211yescharacteristic, complemented
99#10622784C2211yescharacteristic
100#10622784C2211yescharacteristic, complemented
101#10622783C2211yescharacteristic
102#10622782C2211yescharacteristic
103#10622781C2211yescharacteristic, complemented
104#10622779C2211yescharacteristic, complemented
105#10622778C2211yescharacteristic
106#10622776C2211yescharacteristic
107#10622775C2211yescharacteristic
108SD16×Dic11C2211yescharacteristic
109SD16×Dic11C2211yescharacteristic
110#10622729C2211yescharacteristic, complemented
111#10622728C2211yescharacteristic
112#10622727C2211yescharacteristic
113#10622727C2211yescharacteristic, complemented
114C8×C22⋊D11C2211yescharacteristic
115C8×C22⋊D11C2211yescharacteristic
116C8×C22⋊D11C2211yescharacteristic, complemented
117C8×C22⋊D11C2211yescharacteristic, complemented
118C4×#4326C2211yescharacteristic, complemented
119C4×#4326C2211yescharacteristic, complemented
120#10622641C2211yescharacteristic, complemented
121#10622641C2211yescharacteristic, complemented
122C4×#4325C2211yescharacteristic, complemented
123C4×#4325C2211yescharacteristic, complemented
124#10622635C2211yescharacteristic, complemented
125#10622635C2211yescharacteristic, complemented
126C4×#4324C2211yescharacteristic
127C4×#4324C2211yescharacteristic, complemented
128#10622629C2211yescharacteristic
129#10622629C2211yescharacteristic, complemented
130C4×#4323C2211yescharacteristic
131C4×#4323C2211yescharacteristic, complemented
132#10622622C2211yescharacteristic
133#10622622C2211yescharacteristic, complemented
134#10622584C2211yescharacteristic, complemented
135#10622583C2211yescharacteristic, complemented
136#10622581C2211yescharacteristic, complemented
137#10622580C2211yescharacteristic
138#10622538C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622483C2211yescharacteristic, complemented
141#10622480C2211yescharacteristic, complemented
142#10622479C2211yescharacteristic, complemented
143#10622477C2211yescharacteristic, complemented
144#10622477C2211yescharacteristic, complemented
145#10622476C2211yescharacteristic, complemented
146#10622475C2211yescharacteristic, complemented
147#10622473C2211yescharacteristic, complemented
148D11×#106C2211yescharacteristic, complemented
149#10622471C2211yescharacteristic, complemented
150#10622470C2211yescharacteristic, complemented
151#10622468C2211yescharacteristic, complemented
152#10622467C2211yescharacteristic, complemented
153#10622465C2211yescharacteristic, complemented
154#10622465C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622427C2211yescharacteristic, complemented
157#10622426C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic, complemented
159#10622422C2211yescharacteristic, complemented
160#10622421C2211yescharacteristic, complemented
161#10622420C2211yescharacteristic, complemented
162#10622417C2211yescharacteristic, complemented
163D11×#103C2211yescharacteristic, complemented
164#10622413C2211yescharacteristic, complemented
165#10622409C2211yescharacteristic, complemented
166#10622407C2211yescharacteristic, complemented
167#10622406C2211yescharacteristic, complemented
168#10622405C2211yescharacteristic, complemented
169#10622403C2211yescharacteristic, complemented
170#10622401C2211yescharacteristic, complemented
171#10622399C2211yescharacteristic
172#10622397C2211yescharacteristic, complemented
173#10622396C2211yescharacteristic
174#10622391C2211yescharacteristic, complemented
175#10622388C2211yescharacteristic
176#10622387C2211yescharacteristic
177#10622386C2211yescharacteristic
178#10622385C2211yescharacteristic
179D11×#102C2211yescharacteristic
180#10622381C2211yescharacteristic, complemented
181#10622380C2211yescharacteristic, complemented
182#10622379C2211yescharacteristic
183#10622373C2211yescharacteristic
184#10622372C2211yescharacteristic
185#10622371C2211yescharacteristic
186#10622369C2211yescharacteristic
187C4×Dic44C2211yescharacteristic, complemented
188#10622310C2211yescharacteristic, complemented
189#10622310C2211yescharacteristic, complemented
190#10622309C2211yescharacteristic, complemented
191C4×D88C2211yescharacteristic, complemented
192C4×#4314C2211yescharacteristic, complemented
193C4×#4314C2211yescharacteristic, complemented
194C8×D44C2211yescharacteristic, complemented
195C8×D44C2211yescharacteristic, complemented
196#10622298C2211yescharacteristic, complemented
197#10622298C2211yescharacteristic, complemented
198C4×C8×D11C2211yescharacteristic, complemented
199C4×C8×D11C2211yescharacteristic, complemented
200#10622296C2211yescharacteristic, complemented
201C8×Dic22C2211yescharacteristic, complemented
202C8×Dic22C2211yescharacteristic, complemented
203C22×Q8×C11C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C23×C4×C11—21no—
206C22×C22⋊D11—21no—
207C2×#4343C2311yescharacteristic
208C2×Q8×D11C2311yescharacteristic
209C2×#4341C2311yescharacteristic
210C2×D4×D11C2311yescharacteristic
211C2×#4339—21no—
212C2×#4339—21no—
213C2×#4339D411yescharacteristic
214C22×C4×D11—21no—
215C2×C11×SD16—24no—
216C2×C11×SD16C2311yescharacteristic
217C2×C11×SD16C2311yescharacteristic
218C2×C11×SD16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C22×C8×C11C2311yescharacteristic
221C22×C8×C11C2311yescharacteristic
222C4×Q8×C11—21no—
223C4×Q8×C11—21no—
224C4×Q8×C11C2311yescharacteristic
225C4×Q8×C11C2311yescharacteristic
226C4×Q8×C11C2311yescharacteristic
227C4×Q8×C11C2311yescharacteristic
228C4×D4×C11—21no—
229C4×D4×C11—21no—
230C4×D4×C11C2311yescharacteristic
231C4×D4×C11C2311yescharacteristic
232C4×D4×C11C2311yescharacteristic
233C4×D4×C11C2311yescharacteristic
234C2×C11×C4⋊C4—21no—
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4—21no—
238C2×C42×C11—21no—
239C2×C42×C11C2311yescharacteristic
240#67006—21no—
241#67006—21no—
242C2×C22⋊Dic11—21no—
243#67000—21no—
244#67000C2311yescharacteristic
245#66999—21no—
246#66999—21no—
247#66999C2311yescharacteristic
248#66999C2311yescharacteristic
249Q8×Dic11C2311yescharacteristic
250Q8×Dic11C2311yescharacteristic
251#66997—21no—
252#66997C2311yescharacteristic
253C2×#4326C2311yescharacteristic
254C2×#4326C2311yescharacteristic
255C2×#4325C2311yescharacteristic
256C2×#4325C2311yescharacteristic
257#66993C2311yescharacteristic
258#66992—21no—
259#66992—21no—
260#66991C2311yescharacteristic
261#66991C2311yescharacteristic
262#66990—21no—
263#66989C2311yescharacteristic
264#66988—21no—
265D4×Dic11C2311yescharacteristic
266D4×Dic11C2311yescharacteristic
267C2×#4324C2311yescharacteristic
268C2×#4324C2311yescharacteristic
269C2×#4323C2311yescharacteristic
270C2×#4323C2311yescharacteristic
271#66983—21no—
272#66983—21no—
273#66983—21no—
274#66983C2311yescharacteristic
275#66983C2311yescharacteristic
276#66982—21no—
277#66982—21no—
278#66982—21no—
279#66982—21no—
280#66982—21no—
281#66982—21no—
282C4×C22⋊D11—21no—
283C4×C22⋊D11—21no—
284C4×C22⋊D11—21no—
285C4×C22⋊D11—21no—
286C4×C22⋊D11—21no—
287C4×C22⋊D11—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⋊D11D411yescharacteristic
295C4×C22⋊D11D411yescharacteristic
296C4×C22⋊D11C2311yescharacteristic
297C4×C22⋊D11C2311yescharacteristic
298C2×(C2×D11)⋊C4—21no—
299#66979—21no—
300#66979—21no—
301#66979D411yescharacteristic
302#66977—21no—
303#66977—21no—
304#66977—21no—
305#66977C2311yescharacteristic
306#66977C2311yescharacteristic
307C2×Dic11⋊C4—21no—
308C2×C4×Dic11—21no—
309#66969—24no—
310SD16×D11—24no—
311C2×Dic44C2311yescharacteristic
312C2×D88C2311yescharacteristic
313C2×#4314C2311yescharacteristic
314C2×#4314C2311yescharacteristic
315C2×C8×D11C2311yescharacteristic
316C2×C8×D11C2311yescharacteristic
317C2×C8×D11C2311yescharacteristic
318C2×C8×D11C2311yescharacteristic
319#66951—21no—
320#66951—21no—
321#66951—21no—
322#66951—21no—
323#66950—21no—
324#66950C2311yescharacteristic
325#66950C2311yescharacteristic
326#66949—21no—
327#66949—21no—
328#66949—21no—
329#66949—21no—
330#66948—21no—
331#66948C2311yescharacteristic
332#66948C2311yescharacteristic
333#66947—21no—
334#66947—21no—
335#66947—21no—
336#66947—21no—
337#66946—21no—
338#66946C2311yescharacteristic
339#66946C2311yescharacteristic
340#66945—21no—
341#66945C2311yescharacteristic
342#66945C2311yescharacteristic
343C4⋊C4×D11—21no—
344C4⋊C4×D11C2311yescharacteristic
345C4⋊C4×D11C2311yescharacteristic
346#66943—21no—
347#66943C2311yescharacteristic
348#66943C2311yescharacteristic
349#66942—21no—
350#66942—21no—
351#66942—21no—
352#66942—21no—
353#66941—21no—
354#66941C2311yescharacteristic
355#66941C2311yescharacteristic
356#66940—21no—
357#66940C2311yescharacteristic
358#66940C2311yescharacteristic
359#66939—21no—
360#66938—21no—
361#66938—21no—
362#66937—21no—
363#66937—21no—
364#66936—21no—
365#66936—21no—
366#66935—21no—
367(C22⋊D11)⋊C4—21no—
368(C22⋊D11)⋊C4—21no—
369C22⋊C4×D11—21no—
370#66932—21no—
371#66932—21no—
372#66931—21no—
373#66931—21no—
374#66930—21no—
375#66929—21no—
376#66929—21no—
377#66929—21no—
378#66929—21no—
379#66928—21no—
380#66928C2311yescharacteristic
381#66928C2311yescharacteristic
382C4×D44—21no—
383C4×D44—21no—
384C4×D44—21no—
385C4×D44D411yescharacteristic
386C4×D44C2311yescharacteristic
387C4×D44C2311yescharacteristic
388C4×D44C2311yescharacteristic
389#66925—21no—
390#66925—21no—
391#66925—21no—
392#66925—21no—
393#66925—21no—
394#66925—21no—
395#66925D411yescharacteristic
396#66925D411yescharacteristic
397C42×D11—21no—
398C42×D11—21no—
399C42×D11C2311yescharacteristic
400C42×D11C2311yescharacteristic
401#66923—21no—
402#66923C2311yescharacteristic
403#66923C2311yescharacteristic
404C4×Dic22—21no—
405C4×Dic22—21no—
406C4×Dic22—21no—
407C4×Dic22D411yescharacteristic
408C4×Dic22C2311yescharacteristic
409C4×Dic22C2311yescharacteristic
410C4×Dic22C2311yescharacteristic
411C11×#106C2311yescharacteristic
412C11×#106C2311yescharacteristic
413C11×#106C2311yescharacteristic
414C11×#106C2311yescharacteristic
415C11×#103C2311yescharacteristic
416C11×#103C2311yescharacteristic
417C11×#103C2311yescharacteristic
418C11×#103C2311yescharacteristic
419C11×#102C2311yescharacteristic
420C11×#102C2311yescharacteristic
421C11×#102C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C4×C8×C11C2311yescharacteristic
424C4×C8×C11C2311yescharacteristic
425C4×C8×C11C2311yescharacteristic
426C4×C8×C11C2311yescharacteristic
427#66899C2311yescharacteristic
428#66899C2311yescharacteristic
429#66899C2311yescharacteristic
430#66899C2311yescharacteristic
431#66896C2311yescharacteristic
432#66896C2311yescharacteristic
433#66896C2311yescharacteristic
434#66896C2311yescharacteristic
435C22⋊(C11⋊C8)C2311yescharacteristic
436C22⋊(C11⋊C8)C2311yescharacteristic
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#66881C2311yescharacteristic
448#66881C2311yescharacteristic
449#66880C2311yescharacteristic
450#66880C2311yescharacteristic
451#66880C2311yescharacteristic
452#66880C2311yescharacteristic
453Dic11⋊C8C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455Dic11⋊C8C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457C8×Dic11C2311yescharacteristic
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
477C4⋊(C11⋊C8)C2311yescharacteristic
478C4⋊(C11⋊C8)C2311yescharacteristic
479C4×C11⋊C8C2311yescharacteristic
480C4×C11⋊C8C2311yescharacteristic
481#61432—111nomaximal, Sylow
482C24×C11—21no—
483C23×D11—21no—
484C2×Q8×C11—21no—
485C2×Q8×C11—22no—
486C2×Q8×C11—41no—
487C2×Q8×C11C2411yescharacteristic
488C2×Q8×C11C2411yescharacteristic
489C2×D4×C11—22no—
490C2×D4×C11—21no—
491C2×D4×C11—41no—
492C2×D4×C11C2411yescharacteristic
493C2×D4×C11C2411yescharacteristic
494C22×C4×C11—21no—
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×C11—82no—
502C22×C4×C11C2×D411yescharacteristic
503C22×C4×C11C2×D411yescharacteristic
504C22×C4×C11C2411yescharacteristic
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—44no—
514C2×C22⋊D11C2×D411yescharacteristic
515C2×C22⋊D11C2×D411yescharacteristic
516C22×Dic11—21no—
517C22×Dic11—21no—
518C22×Dic11—21no—
519#4343—22no—
520#4343—41no—
521Q8×D11—22no—
522Q8×D11—41no—
523#4341—22no—
524#4341—41no—
525D4×D11—22no—
526D4×D11—41no—
527#4339—24no—
528#4339—44no—
529#4339—82no—
530C2×D44—21no—
531C2×D44—21no—
532C2×D44—21no—
533C2×D44C2×D411yescharacteristic
534C2×D44C2411yescharacteristic
535C2×D44C2411yescharacteristic
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—82no—
545C2×C4×D11C2×D411yescharacteristic
546C2×C4×D11C2×D411yescharacteristic
547C2×C4×D11C2×D411yescharacteristic
548C2×C4×D11C2×D411yescharacteristic
549C2×C4×D11C2411yescharacteristic
550C2×C4×D11C2411yescharacteristic
551C2×Dic22—21no—
552C2×Dic22—21no—
553C2×Dic22—21no—
554C2×Dic22C2×D411yescharacteristic
555C2×Dic22C2411yescharacteristic
556C2×Dic22C2411yescharacteristic
557C11×SD16—22no—
558C11×SD16—22no—
559C11×SD16—22no—
560C11×SD16#4114yescomplemented
561C2×C8×C11—22no—
562C2×C8×C11—41no—
563C2×C8×C11C2411yescharacteristic
564C2×C8×C11C2411yescharacteristic
565C2×C8×C11C2411yescharacteristic
566C2×C8×C11C2411yescharacteristic
567C11×C4⋊C4—21no—
568C11×C4⋊C4—21no—
569C11×C4⋊C4—21no—
570C11×C4⋊C4—21no—
571C11×C4⋊C4—21no—
572C11×C4⋊C4—21no—
573C11×C4⋊C4C2411yescharacteristic
574C11×C4⋊C4C2411yescharacteristic
575C11×C4⋊C4C2411yescharacteristic
576C11×C4⋊C4C2411yescharacteristic
577C11×C22⋊C4—21no—
578C11×C22⋊C4—21no—
579C11×C22⋊C4—21no—
580C11×C22⋊C4—21no—
581C42×C11—21no—
582C42×C11—21no—
583C42×C11—21no—
584C42×C11—21no—
585C42×C11C2×D411yescharacteristic
586C42×C11C2×D411yescharacteristic
587C42×C11C2411yescharacteristic
588C42×C11C2411yescharacteristic
589C22⋊Dic11—21no—
590C22⋊Dic11—21no—
591C22⋊Dic11—21no—
592C22⋊Dic11—21no—
593C22⋊Dic11—21no—
594C22⋊Dic11—21no—
595C22⋊Dic11—21no—
596C22⋊Dic11—21no—
597C22⋊Dic11C2×D411yescharacteristic
598C22⋊Dic11C2×D411yescharacteristic
599#4326—22no—
600#4326—41no—
601#4325—22no—
602#4325—41no—
603#4324—22no—
604#4324—41no—
605#4323—22no—
606#4323—41no—
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⋊Dic11C2×D411yescharacteristic
638C4⋊Dic11C2×D411yescharacteristic
639C4⋊Dic11C2411yescharacteristic
640C4⋊Dic11C2411yescharacteristic
641C4⋊Dic11C2411yescharacteristic
642C4⋊Dic11C2411yescharacteristic
643Dic11⋊C4—21no—
644Dic11⋊C4—21no—
645Dic11⋊C4—21no—
646Dic11⋊C4—21no—
647Dic11⋊C4—21no—
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⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4—21no—
663Dic11⋊C4C2×D411yescharacteristic
664Dic11⋊C4C2×D411yescharacteristic
665Dic11⋊C4C2×D411yescharacteristic
666Dic11⋊C4C2×D411yescharacteristic
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×Dic11C2×D411yescharacteristic
678C4×Dic11C2×D411yescharacteristic
679C4×Dic11C2411yescharacteristic
680C4×Dic11C2411yescharacteristic
681C2×C11⋊C8C2411yescharacteristic
682C2×C11⋊C8C2411yescharacteristic
683C2×C11⋊C8C2411yescharacteristic
684C2×C11⋊C8C2411yescharacteristic
685Dic44—41no—
686D88—41no—
687#4314—22no—
688#4314—22no—
689C8×D11—22no—
690C8×D11—22no—
691C8×D11—41no—
692C8×D11—41no—
693#3482—111no—
694#3481—111no—
695#3394—111no—
696#3381—111no—
697#3365—111no—
698#3360—111no—
699#3337—111no—
700#3337—111no—
701#3335—111no—
702#3301—111no—
703#3301—111no—
704#3299—111no—
705#3296—111no—
706#3296—111no—
707#3294—111no—
708#3282—111no—
709#3282—111no—
710D4×SD16—111no—
711#3168—111no—
712#3168—111no—
713#3167—111no—
714#3108—111no—
715#3108—111no—
716#3107—111no—
717#3106—111no—
718#3105—111no—
719#3105—111no—
720C8×#41—111no—
721C4×#135—111no—
722C2×C4×SD16—111no—
723C2×C4×SD16D1111yescharacteristic, complemented
724C23×C11—21no—
725C23×C11—21no—
726C23×C11—42no—
727C23×C11—42no—
728C23×C11—81no—
729C23×C11C22×D411yescharacteristic
730C22×D11—21no—
731C22×D11—21no—
732C22×D11—42no—
733C22×D11—42no—
734C22×D11—81no—
735C22×D11C22×D411yescharacteristic
736C22×D11C22×D411yescharacteristic
737Q8×C11—21no—
738Q8×C11—21no—
739Q8×C11—21no—
740Q8×C11—42no—
741Q8×C11C2×#4112yes—
742D4×C11—21no—
743D4×C11—21no—
744D4×C11—21no—
745D4×C11—42no—
746D4×C11C2×#4112yes—
747C2×C4×C11—22no—
748C2×C4×C11—21no—
749C2×C4×C11—22no—
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×C11—42no—
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—42no—
772C22⋊D11—42no—
773C22⋊D11—42no—
774C22⋊D11—42no—
775C22⋊D11—42no—
776C22⋊D11—42no—
777C22⋊D11—81no—
778C22⋊D11—81no—
779C22⋊D11#13514yescomplemented
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—42no—
787C2×Dic11—42no—
788C2×Dic11—81no—
789C2×Dic11C22×D411yescharacteristic
790C2×Dic11C22×D411yescharacteristic
791C2×Dic11C22×D411yescharacteristic
792C2×Dic11C22×D411yescharacteristic
793C2×Dic11C22×D411yescharacteristic
794C2×Dic11C22×D411yescharacteristic
795D44—22no—
796D44—21no—
797D44—21no—
798D44—21no—
799D44—21no—
800D44—42no—
801D44—42no—
802D44—81no—
803C4×D11—22no—
804C4×D11—22no—
805C4×D11—22no—
806C4×D11—21no—
807C4×D11—21no—
808C4×D11—21no—
809C4×D11—21no—
810C4×D11—22no—
811C4×D11—42no—
812C4×D11—42no—
813C4×D11—42no—
814C4×D11—42no—
815C4×D11—42no—
816C4×D11—42no—
817C4×D11—81no—
818C4×D11—81no—
819Dic22—22no—
820Dic22—21no—
821Dic22—21no—
822Dic22—21no—
823Dic22—21no—
824Dic22—42no—
825Dic22—42no—
826Dic22—81no—
827C8×C11—21no—
828C8×C11—21no—
829C8×C11—21no—
830C8×C11C2×#4112yes—
831C11⋊C8—21no—
832C11⋊C8—21no—
833C11⋊C8—21no—
834C11⋊C8—21no—
835C2×#135—111no—
836C22×SD16—111no—
837C22×SD16C2×D1111yescharacteristic
838#559—111no—
839#557—111no—
840#556—111no—
841#556—221no—
842#554—111no—
843#554—111no—
844#553—111no—
845#553—111no—
846#553—221no—
847#552—111no—
848#552—111no—
849#552—221no—
850#552—221no—
851#551—221no—
852#551—221no—
853D4×Q8—111no—
854#548—111no—
855#548—111no—
856#547—111no—
857#547—221no—
858#546—111no—
859#546—111no—
860#546—221no—
861D42—111no—
862#533—111no—
863#533—221no—
864#532—111no—
865#529—111no—
866#529—111no—
867#529—111no—
868#529—111no—
869#529—221no—
870#529—221no—
871#529—221no—
872#525—221no—
873#525—221no—
874C4×#41—111no—
875C4×#41—111no—
876C4×#41—111no—
877C4×#41—221no—
878C2×C4×Q8—111no—
879C2×C4×Q8C2×D1111yescharacteristic, complemented
880C2×C4×D4—111no—
881C2×C4×D4—221no—
882C2×C4×D4C2×D1111yescharacteristic
883#499—111no—
884#499—111no—
885#498—111no—
886#495—111no—
887#495—111no—
888#492—111no—
889#488—111no—
890#488—111no—
891#488—111no—
892#488—111no—
893#487—111no—
894#486—111no—
895#485—111no—
896#485—111no—
897#484—111no—
898#484—111no—
899#483—111no—
900#483—111no—
901#482—111no—
902#482—111no—
903#481—111no—
904#481—111no—
905#480—111no—
906#480—111no—
907#479—111no—
908#479—111no—
909#479—111no—
910#479—111no—
911#478—111no—
912#478—111no—
913#478—111no—
914#478—111no—
915#477—111no—
916#476—111no—
917#475—111no—
918#474—111no—
919#467—111no—
920#467—111no—
921#466—111no—
922#466—111no—
923#465—111no—
924#465—111no—
925#465—111no—
926#465—111no—
927#465—111no—
928#465—111no—
929#465—111no—
930#465—111no—
931#464—111no—
932#464—111no—
933#464—111no—
934#464—111no—
935#463—111no—
936#463—111no—
937#463—111no—
938#463—111no—
939#462—111no—
940#461—111no—
941#460—111no—
942#459—111no—
943#452—111no—
944#452—111no—
945#451—111no—
946#451—111no—
947#450—111no—
948#450—111no—
949#449—111no—
950#449—111no—
951#448—111no—
952#448—111no—
953#447—111no—
954#447—111no—
955C8×Q8—111no—
956C8×Q8—111no—
957C4×Q16—111no—
958C4×Q16—111no—
959C4×Q16—111no—
960C4×Q16—111no—
961C4×SD16—111no—
962C4×SD16—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×SD16C2×D1111yescharacteristic
974C4×SD16C2×D1111yescharacteristic
975C4×SD16C2×D1111yescharacteristic
976C4×SD16C2×D1111yescharacteristic
977C4×SD16C2×D1111yescharacteristic, complemented
978C4×SD16C2×D1111yescharacteristic, complemented
979C4×SD16C2×D1111yescharacteristic, complemented
980C4×SD16C2×D1111yescharacteristic, complemented
981C4×D8—111no—
982C4×D8—111no—
983C4×D8—111no—
984C4×D8—111no—
985C8×D4—111no—
986C8×D4—111no—
987C8×D4—111no—
988C8×D4—111no—
989C8×D4—111no—
990C8×D4—111no—
991#431—111no—
992#431—111no—
993#431—111no—
994#427—111no—
995C2×#106—111no—
996C2×#106C2×D1111yescharacteristic, complemented
997#416—111no—
998#416—111no—
999C2×#103—111no—
1000C2×#103C2×D1111yescharacteristic, complemented
1001C2×#102—111no—
1002C2×#102C2×D1111yescharacteristic
1003C2×C4×C8—111no—
1004C2×C4×C8—111no—
1005C2×C4×C8C2×D1111yescharacteristic, complemented
1006C22×C11—21no—
1007C22×C11—21no—
1008C22×C11—22no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
1013C22×C11—41no—
1014C22×C11—84no—
1015C22×C11C2×#13512yes—
1016C22×C11C23×D411yescharacteristic
1017C2×D11—21no—
1018C2×D11—21no—
1019C2×D11—21no—
1020C2×D11—21no—
1021C2×D11—21no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—84no—
1029C2×D11C2×#13512yes—
1030C4×C11—21no—
1031C4×C11—22no—
1032C4×C11—21no—
1033C4×C11—21no—
1034C4×C11—21no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11#57712yes—
1041C4×C11C22×#4111yescharacteristic
1042C4×C11#58511yescharacteristic
1043Dic11—21no—
1044Dic11—21no—
1045Dic11—21no—
1046Dic11—21no—
1047Dic11—21no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11C2×#13512yes—
1055C2×#41—111no—
1056C2×#41—111no—
1057C2×#41—111no—
1058C2×#41—221no—
1059C2×#41—221no—
1060C22×Q8—111no—
1061C22×Q8C22×D1111yescharacteristic
1062C22×D4—111no—
1063C22×D4—221no—
1064C22×D4C22×D1111yescharacteristic
1065C23×C4—21no—
1066C23×C4—221no—
1067#135—224no—
1068C2×Q16—111no—
1069C2×Q16—111no—
1070C2×Q16—111no—
1071C2×SD16—24no—
1072C2×SD16—111no—
1073C2×SD16—111no—
1074C2×SD16—111no—
1075C2×SD16—111no—
1076C2×SD16—111no—
1077C2×SD16—111no—
1078C2×SD16—224no—
1079C2×SD16C22×D1111yescharacteristic
1080C2×SD16C22×D1111yescharacteristic
1081C2×SD16C22×D1111yescharacteristic
1082C2×SD16C22×D1111yescharacteristic
1083C2×D8—111no—
1084C2×D8—111no—
1085C2×D8—111no—
1086C22×C8—111no—
1087C22×C8—111no—
1088C22×C8—111no—
1089C22×C8—111no—
1090C22×C8C22×D1111yescharacteristic
1091C22×C8C22×D1111yescharacteristic
1092C4⋊Q8—111no—
1093C4⋊Q8—111no—
1094C4⋊Q8—111no—
1095C4⋊Q8—221no—
1096C4⋊Q8—221no—
1097#127—111no—
1098#126—221no—
1099#126—221no—
1100#126—221no—
1101#126—221no—
1102#126—221no—
1103#126—221no—
1104#126—221no—
1105#126—221no—
1106#126—221no—
1107#126—221no—
1108#125—111no—
1109#125—111no—
1110#125—111no—
1111#125—111no—
1112#125—221no—
1113#125—221no—
1114#125—221no—
1115#125—221no—
1116#125—221no—
1117#125—221no—
1118#124—111no—
1119#124—111no—
1120#124—111no—
1121#124—111no—
1122#124—221no—
1123#124—221no—
1124#124—221no—
1125#124—221no—
1126#123—221no—
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—
1140C22⋊Q8—111no—
1141C22⋊Q8—111no—
1142C22⋊Q8—111no—
1143C22⋊Q8—111no—
1144C22⋊Q8—111no—
1145C22⋊Q8—111no—
1146C22⋊Q8—221no—
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—
1158#121—111no—
1159#121—111no—
1160#121—111no—
1161#121—111no—
1162#121—111no—
1163#121—111no—
1164#121—221no—
1165#121—221no—
1166#121—221no—
1167#121—221no—
1168#121—221no—
1169#121—221no—
1170#121—221no—
1171#121—221no—
1172#120—221no—
1173#120—221no—
1174#120—221no—
1175#120—221no—
1176C4×Q8—21no—
1177C4×Q8—21no—
1178C4×Q8—111no—
1179C4×Q8—111no—
1180C4×Q8—111no—
1181C4×Q8—111no—
1182C4×Q8—111no—
1183C4×Q8—111no—
1184C4×Q8—111no—
1185C4×Q8—111no—
1186C4×Q8—221no—
1187C4×Q8—221no—
1188C4×Q8—221no—
1189C4×Q8—221no—
1190C4×Q8C22×D1111yescharacteristic
1191C4×Q8C22×D1111yescharacteristic
1192C4×Q8C22×D1111yescharacteristic
1193C4×Q8C22×D1111yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—111no—
1197C4×D4—111no—
1198C4×D4—111no—
1199C4×D4—111no—
1200C4×D4—111no—
1201C4×D4—111no—
1202C4×D4—111no—
1203C4×D4—111no—
1204C4×D4—111no—
1205C4×D4—111no—
1206C4×D4—111no—
1207C4×D4—111no—
1208C4×D4—221no—
1209C4×D4—221no—
1210C4×D4—221no—
1211C4×D4—221no—
1212C4×D4—221no—
1213C4×D4—221no—
1214C4×D4—221no—
1215C4×D4—221no—
1216C4×D4—221no—
1217C4×D4—221no—
1218C4×D4—221no—
1219C4×D4—221no—
1220C4×D4—221no—
1221C4×D4—221no—
1222C4×D4—221no—
1223C4×D4—221no—
1224C4×D4—221no—
1225C4×D4—221no—
1226C4×D4C22×D1111yescharacteristic
1227C4×D4C22×D1111yescharacteristic
1228C4×D4C22×D1111yescharacteristic
1229C4×D4C22×D1111yescharacteristic
1230#117—111no—
1231#117—111no—
1232#117—111no—
1233#117—111no—
1234#117—111no—
1235#117—221no—
1236#117—221no—
1237#117—221no—
1238#117—221no—
1239#117—221no—
1240#117—221no—
1241#117—221no—
1242#117—221no—
1243#117—221no—
1244#117—221no—
1245C2×C4⋊C4—21no—
1246C2×C4⋊C4—111no—
1247C2×C4⋊C4—111no—
1248C2×C4⋊C4—221no—
1249C2×C4⋊C4—221no—
1250C2×C4⋊C4C22×D1111yescharacteristic
1251C2×C4⋊C4C22×D1111yescharacteristic
1252C2×C22⋊C4—21no—
1253C2×C22⋊C4—221no—
1254C2×C22⋊C4—221no—
1255C2×C22⋊C4—221no—
1256C2×C42—21no—
1257C2×C42—111no—
1258C2×C42—111no—
1259C2×C42—221no—
1260C2×C42—221no—
1261C2×C42—221no—
1262C2×C42C22×D1111yescharacteristic
1263#107—111no—
1264#107—111no—
1265#107—111no—
1266#107—111no—
1267#107—111no—
1268#107—111no—
1269#106—111no—
1270#106—111no—
1271#106—111no—
1272#106—111no—
1273#106—111no—
1274#106—111no—
1275#106C22×D1111yescharacteristic
1276#106C22×D1111yescharacteristic
1277#106C22×D1111yescharacteristic
1278#106C22×D1111yescharacteristic
1279C4⋊C8—111no—
1280C4⋊C8—111no—
1281C4⋊C8—111no—
1282C4⋊C8—111no—
1283C4⋊C8—111no—
1284C4⋊C8—111no—
1285#103—111no—
1286#103—111no—
1287#103—111no—
1288#103—111no—
1289#103—111no—
1290#103—111no—
1291#103—111no—
1292#103—111no—
1293#103—111no—
1294#103—111no—
1295#103—111no—
1296#103—111no—
1297#103C22×D1111yescharacteristic
1298#103C22×D1111yescharacteristic
1299#103C22×D1111yescharacteristic
1300#103C22×D1111yescharacteristic
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—
1310#102—111no—
1311#102—111no—
1312#102—111no—
1313#102C22×D1111yescharacteristic
1314#102C22×D1111yescharacteristic
1315#102C22×D1111yescharacteristic
1316#102C22×D1111yescharacteristic
1317C22⋊C8—111no—
1318C22⋊C8—111no—
1319C22⋊C8—111no—
1320C22⋊C8—111no—
1321C22⋊C8—111no—
1322C22⋊C8—111no—
1323C4×C8—111no—
1324C4×C8—111no—
1325C4×C8—111no—
1326C4×C8—111no—
1327C4×C8—111no—
1328C4×C8—111no—
1329C4×C8C22×D1111yescharacteristic
1330C4×C8C22×D1111yescharacteristic
1331C4×C8C22×D1111yescharacteristic
1332C4×C8C22×D1111yescharacteristic
1333C2×C11—22no—
1334C2×C11—42no—
1335C2×C11—81no—
1336C2×C11D4×#4111yescharacteristic
1337C2×C11C22×#13511yescharacteristic
1338C2×C11C2×#57711yescharacteristic
1339D11—22no—
1340D11—41no—
1341D11—81no—
1342D11—81no—
1343C24—21no—
1344C24—221no—
1345#41—224no—
1346#41—222no—
1347#41—222no—
1348#41—444no—
1349#41—441no—
1350#41—441no—
1351#41—882no—
1352C2×Q8—21no—
1353C2×Q8—22no—
1354C2×Q8—41no—
1355C2×Q8—111no—
1356C2×Q8—111no—
1357C2×Q8—111no—
1358C2×Q8—221no—
1359C2×Q8—221no—
1360C2×Q8—221no—
1361C2×Q8—222no—
1362C2×Q8—441no—
1363C2×Q8C23×D1111yescharacteristic
1364C2×Q8C23×D1111yescharacteristic
1365C2×D4—22no—
1366C2×D4—21no—
1367C2×D4—41no—
1368C2×D4—111no—
1369C2×D4—111no—
1370C2×D4—111no—
1371C2×D4—111no—
1372C2×D4—111no—
1373C2×D4—221no—
1374C2×D4—221no—
1375C2×D4—221no—
1376C2×D4—221no—
1377C2×D4—221no—
1378C2×D4—221no—
1379C2×D4—222no—
1380C2×D4—221no—
1381C2×D4—221no—
1382C2×D4—221no—
1383C2×D4—221no—
1384C2×D4—221no—
1385C2×D4—441no—
1386C2×D4—444no—
1387C2×D4C23×D1111yescharacteristic
1388C2×D4C23×D1111yescharacteristic
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—82no—
1397C22×C4—111no—
1398C22×C4—111no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—221no—
1404C22×C4—221no—
1405C22×C4—221no—
1406C22×C4—221no—
1407C22×C4—221no—
1408C22×C4—221no—
1409C22×C4—221no—
1410C22×C4—221no—
1411C22×C4—221no—
1412C22×C4—221no—
1413C22×C4—221no—
1414C22×C4—882no—
1415C22×C4D4×D1111yescharacteristic
1416C22×C4D4×D1111yescharacteristic
1417C22×C4C23×D1111yescharacteristic
1418Q16—222no—
1419Q16—441no—
1420Q16—441no—
1421SD16—22no—
1422SD16—22no—
1423SD16—22no—
1424SD16—222no—
1425SD16—222no—
1426SD16—222no—
1427SD16—222no—
1428SD16—441no—
1429SD16—441no—
1430SD16#433914yescomplemented
1431D8—222no—
1432D8—441no—
1433D8—441no—
1434C2×C8—22no—
1435C2×C8—41no—
1436C2×C8—111no—
1437C2×C8—111no—
1438C2×C8—111no—
1439C2×C8—111no—
1440C2×C8—222no—
1441C2×C8—222no—
1442C2×C8—441no—
1443C2×C8—441no—
1444C2×C8C23×D1111yescharacteristic
1445C2×C8C23×D1111yescharacteristic
1446C2×C8C23×D1111yescharacteristic
1447C2×C8C23×D1111yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—111no—
1455C4⋊C4—111no—
1456C4⋊C4—111no—
1457C4⋊C4—111no—
1458C4⋊C4—111no—
1459C4⋊C4—111no—
1460C4⋊C4—111no—
1461C4⋊C4—111no—
1462C4⋊C4—111no—
1463C4⋊C4—111no—
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⋊C4—221no—
1480C4⋊C4—221no—
1481C4⋊C4—221no—
1482C4⋊C4—221no—
1483C4⋊C4—221no—
1484C4⋊C4—221no—
1485C4⋊C4—221no—
1486C4⋊C4—221no—
1487C4⋊C4—221no—
1488C4⋊C4—221no—
1489C4⋊C4—221no—
1490C4⋊C4C23×D1111yescharacteristic
1491C4⋊C4C23×D1111yescharacteristic
1492C4⋊C4C23×D1111yescharacteristic
1493C4⋊C4C23×D1111yescharacteristic
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—111no—
1499C22⋊C4—111no—
1500C22⋊C4—111no—
1501C22⋊C4—111no—
1502C22⋊C4—111no—
1503C22⋊C4—111no—
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⋊C4—221no—
1525C22⋊C4—221no—
1526C22⋊C4—221no—
1527C22⋊C4—221no—
1528C22⋊C4—221no—
1529C22⋊C4—221no—
1530C22⋊C4—221no—
1531C22⋊C4—221no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—111no—
1537C42—111no—
1538C42—111no—
1539C42—111no—
1540C42—111no—
1541C42—111no—
1542C42—221no—
1543C42—221no—
1544C42—221no—
1545C42—221no—
1546C42—221no—
1547C42—221no—
1548C42—221no—
1549C42—221no—
1550C42D4×D1111yescharacteristic
1551C42D4×D1111yescharacteristic
1552C42C23×D1111yescharacteristic
1553C42C23×D1111yescharacteristic
1554C11#6143211yescharacteristic, complemented, Sylow
1555C23—21no—
1556C23—21no—
1557C23—42no—
1558C23—42no—
1559C23—81no—
1560C23—111no—
1561C23—111no—
1562C23—221no—
1563C23—221no—
1564C23—442no—
1565C23—442no—
1566C23—881no—
1567C23C2×D4×D1111yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—42no—
1572Q8—222no—
1573Q8—221no—
1574Q8—221no—
1575Q8—221no—
1576Q8—221no—
1577Q8—442no—
1578Q8—442no—
1579Q8—881no—
1580Q8C2×#433912yes—
1581D4—21no—
1582D4—21no—
1583D4—21no—
1584D4—42no—
1585D4—114no—
1586D4—222no—
1587D4—222no—
1588D4—221no—
1589D4—221no—
1590D4—221no—
1591D4—221no—
1592D4—442no—
1593D4—442no—
1594D4—442no—
1595D4—442no—
1596D4—442no—
1597D4—442no—
1598D4—442no—
1599D4—442no—
1600D4—881no—
1601D4—881no—
1602D4—881no—
1603D4C2×#433912yes—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—42no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—81no—
1621C2×C4—111no—
1622C2×C4—111no—
1623C2×C4—111no—
1624C2×C4—111no—
1625C2×C4—111no—
1626C2×C4—111no—
1627C2×C4—222no—
1628C2×C4—222no—
1629C2×C4—222no—
1630C2×C4—222no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—442no—
1642C2×C4—442no—
1643C2×C4—442no—
1644C2×C4—442no—
1645C2×C4—442no—
1646C2×C4—442no—
1647C2×C4—442no—
1648C2×C4—442no—
1649C2×C4—881no—
1650C2×C4—881no—
1651C2×C4—881no—
1652C2×C4C2×D4×D1111yescharacteristic
1653C2×C4C2×D4×D1111yescharacteristic
1654C2×C4C2×D4×D1111yescharacteristic
1655C2×C4C2×D4×D1111yescharacteristic
1656C2×C4C2×D4×D1111yescharacteristic
1657C2×C4C24×D1111yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—221no—
1662C8—221no—
1663C8—221no—
1664C8—221no—
1665C8C2×#433912yes—
1666C22—21no—
1667C22—21no—
1668C22—22no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—84no—
1675C22—112no—
1676C22—221no—
1677C22—221no—
1678C22—221no—
1679C22—221no—
1680C22—221no—
1681C22—441no—
1682C22—441no—
1683C22—441no—
1684C22—441no—
1685C22—441no—
1686C22—441no—
1687C22—884no—
1688C22D11×#13512yes—
1689C22C22×D4×D1111yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—22no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—112no—
1701C4—221no—
1702C4—221no—
1703C4—221no—
1704C4—221no—
1705C4—221no—
1706C4—441no—
1707C4—441no—
1708C4—441no—
1709C4—441no—
1710C4—441no—
1711C4—441no—
1712C4#1062329312yes—
1713C4C22×#433911yescharacteristic
1714C4#1062345311yescharacteristic
1715C2—22no—
1716C2—42no—
1717C2—81no—
1718C2—222no—
1719C2—441no—
1720C2—881no—
1721C2—881no—
1722C2D4×#433911yescharacteristic
1723C2C2×D11×#13511yescharacteristic
1724C2C2×#1062329311yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C4×C11×SD16C2
socleC22×C11C23×D4
hypercenterC2×C4×SD16D11
hypocenterC11#61432
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
1. #13082233C2semidirect
2. #13082220C2semidirect
3. #13081613C2semidirect
4. #13081492C2semidirect
5. #13081313C2semidirect
6. #13081266C2semidirect
7. #13081000C2semidirect
8. #13080991C2semidirect
9. #13080969C2semidirect
10. #13080523C2semidirect
11. #13080514C2semidirect
12. #13080488C2semidirect
13. #13080456C2semidirect
14. #13080447C2semidirect
15. #13080425C2semidirect
16. #13080325C2semidirect
17. #13080323C2semidirect
18. SD16×C22⋊D11C2semidirect
19. #13079186C2semidirect
20. #13079182C2semidirect
21. #13079172C2semidirect
22. #13078696C2semidirect
23. #13078694C2semidirect
24. #13078683C2semidirect
25. #13078674C2semidirect
26. #13078667C2semidirect
27. #13078663C2semidirect
28. C8×#4339C2semidirect
29. C4×#66969C2semidirect
30. C4×SD16×D11C2semidirect
31. C2×C4×C11×SD16C2semidirect
33. C2×C4×Q8×C11C22semidirect
35. #10623348C22semidirect
44. #10623112C22semidirect
46. #10623111C22semidirect
48. #10623109C22semidirect
49. #10623107C22semidirect
50. C4×#4343C22semidirect
51. C4×Q8×D11C22semidirect
52. #10623100C22semidirect
54. #10623099C22semidirect
69. #10623044C22semidirect
77. #10623010C22semidirect
84. C4×C11×SD16C22semidirect
85. C4×C11×SD16C22semidirect
86. C4×C11×SD16C22semidirect
87. C4×C11×SD16C22semidirect
88. C2×C11×#106C22semidirect
89. C2×C11×#103C22semidirect
91. C2×C4×C8×C11C22semidirect
92. #10622841C22semidirect
98. #10622785C22semidirect
100. #10622784C22semidirect
103. #10622781C22semidirect
104. #10622779C22semidirect
110. #10622729C22semidirect
113. #10622727C22semidirect
116. C8×C22⋊D11C22semidirect
117. C8×C22⋊D11C22semidirect
118. C4×#4326C22semidirect
119. C4×#4326C22semidirect
120. #10622641C22semidirect
121. #10622641C22semidirect
122. C4×#4325C22semidirect
123. C4×#4325C22semidirect
124. #10622635C22semidirect
125. #10622635C22semidirect
127. C4×#4324C22semidirect
129. #10622629C22semidirect
131. C4×#4323C22semidirect
133. #10622622C22semidirect
134. #10622584C22semidirect
135. #10622583C22semidirect
136. #10622581C22semidirect
138. #10622538C22semidirect
139. #10622484C22semidirect
140. #10622483C22semidirect
141. #10622480C22semidirect
142. #10622479C22semidirect
143. #10622477C22semidirect
144. #10622477C22semidirect
145. #10622476C22semidirect
146. #10622475C22semidirect
147. #10622473C22semidirect
148. D11×#106C22semidirect
149. #10622471C22semidirect
150. #10622470C22semidirect
151. #10622468C22semidirect
152. #10622467C22semidirect
153. #10622465C22semidirect
154. #10622465C22semidirect
155. #10622432C22semidirect
156. #10622427C22semidirect
157. #10622426C22semidirect
158. #10622424C22semidirect
159. #10622422C22semidirect
160. #10622421C22semidirect
161. #10622420C22semidirect
162. #10622417C22semidirect
163. D11×#103C22semidirect
164. #10622413C22semidirect
165. #10622409C22semidirect
166. #10622407C22semidirect
167. #10622406C22semidirect
168. #10622405C22semidirect
169. #10622403C22semidirect
170. #10622401C22semidirect
172. #10622397C22semidirect
174. #10622391C22semidirect
180. #10622381C22semidirect
181. #10622380C22semidirect
187. C4×Dic44C22semidirect
188. #10622310C22semidirect
189. #10622310C22semidirect
190. #10622309C22semidirect
191. C4×D88C22semidirect
192. C4×#4314C22semidirect
193. C4×#4314C22semidirect
194. C8×D44C22semidirect
195. C8×D44C22semidirect
196. #10622298C22semidirect
197. #10622298C22semidirect
198. C4×C8×D11C22semidirect
199. C4×C8×D11C22semidirect
200. #10622296C22semidirect
201. C8×Dic22C22semidirect
202. C8×Dic22C22semidirect
560. C11×SD16#41semidirect
723. C2×C4×SD16D11semidirect
779. C22⋊D11#135semidirect
879. C2×C4×Q8C2×D11semidirect
977. C4×SD16C2×D11semidirect
978. C4×SD16C2×D11semidirect
979. C4×SD16C2×D11semidirect
980. C4×SD16C2×D11semidirect
996. C2×#106C2×D11semidirect
1000. C2×#103C2×D11semidirect
1005. C2×C4×C8C2×D11semidirect
1430. SD16#4339semidirect
1554. C11#61432semidirect

Maximal subgroups

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

subgroupindex
#130822332
#130822202
#130816132
#130814922
#130813132
#130812662
#130810002
#130809912
#130809692
#130805232
#130805142
#130804882
#130804562
#130804472
#130804252
#130803252
#130803232
SD16×C22⋊D112
#130791862
#130791822
#130791722
#130786962
#130786942
#130786832
#130786742
#130786672
#130786632
C8×#43392
C4×#669692
C4×SD16×D112
C2×C4×C11×SD162
#6143211