Finite Group Databasebeta

← #15640572

Subgroups — #15640572

Order 2816.

2064 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083042C211yesmaximal, characteristic, complemented
2#13082402C211yesmaximal, characteristic, complemented
3#13080887C211yesmaximal, characteristic, complemented
4#13080883C211yesmaximal, characteristic, complemented
5#13080867C211yesmaximal, characteristic, complemented
6#13080863C211yesmaximal, characteristic, complemented
7#13080467C211yesmaximal, characteristic, complemented
8#13080448C211yesmaximal, characteristic, complemented
9#13080447C211yesmaximal, characteristic, complemented
10#13080359C211yesmaximal, characteristic, complemented
11#13080354C211yesmaximal, characteristic, complemented
12#13080330C211yesmaximal, characteristic, complemented
13#13080329C211yesmaximal, characteristic, complemented
14#13080245C211yesmaximal, characteristic, complemented
15#13080243C211yesmaximal, characteristic, complemented
16#13080227C211yesmaximal, characteristic, complemented
17#13080226C211yesmaximal, characteristic, complemented
18#13079582C211yesmaximal, characteristic, complemented
19#13079579C211yesmaximal, characteristic, complemented
20#13079503C211yesmaximal, characteristic, complemented
21#13079491C211yesmaximal, characteristic, complemented
22#13079490C211yesmaximal, characteristic, complemented
23#13079476C211yesmaximal, characteristic, complemented
24#13078639C211yesmaximal, characteristic, complemented
25#13078630C211yesmaximal, characteristic, complemented
26#13077925C211yesmaximal, characteristic, complemented
27#13077915C211yesmaximal, characteristic, complemented
28#13077914C211yesmaximal, characteristic, complemented
29#13077899C211yesmaximal, characteristic, complemented
30#13077679C211yesmaximal, characteristic, complemented
31C11×#3297C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C2×#67037C2211yescharacteristic, complemented
34C11×#553C2211yescharacteristic, complemented
35C11×#546C2211yescharacteristic, complemented
36#10623360C2211yescharacteristic, complemented
37C2×#67004C2211yescharacteristic, complemented
38#10623337C2211yescharacteristic
39C2×#66985C2211yescharacteristic
40C2×SD16×D11C2211yescharacteristic, complemented
41C2×#66965C2211yescharacteristic
42C2×#66964C2211yescharacteristic
43C2×#66964C2211yescharacteristic, complemented
44C22×Dic44C2211yescharacteristic, complemented
45C2×#66957C2211yescharacteristic
46#10623243—21no—
47#10623235—21no—
48#10623225C2211yescharacteristic, complemented
49#10623222C2211yescharacteristic, complemented
50#10623208C2211yescharacteristic
51D11×#124C2211yescharacteristic, complemented
52#10623194—21no—
53#10623189—21no—
54#10623185—21no—
55#10623179—21no—
56#10623164C2211yescharacteristic
57#10623159C2211yescharacteristic, complemented
58#10623151—21no—
59#10623150—21no—
60#10623143C2211yescharacteristic, complemented
61#10623141—21no—
62#10623139C2211yescharacteristic
63#10623138C2211yescharacteristic
64#10623138C2211yescharacteristic, complemented
65#10623129C2211yescharacteristic, complemented
66#10623129C2211yescharacteristic, complemented
67#10623127—21no—
68#10623123—21no—
69#10623122—21no—
70#10623094—21no—
71#10623091—21no—
72#10623088C2211yescharacteristic, complemented
73#10623085C2211yescharacteristic
74#10623085C2211yescharacteristic, complemented
75#10623083C2211yescharacteristic, complemented
76#10623083C2211yescharacteristic, complemented
77#10623079C2211yescharacteristic
78C4×#4341C2211yescharacteristic, complemented
79#10623061C2211yescharacteristic, complemented
80#10623057C2211yescharacteristic, complemented
81#10623044C2211yescharacteristic, complemented
82#10623041C2211yescharacteristic
83C2×#66938—21no—
84#10623021—21no—
85C11×#488C2211yescharacteristic, complemented
86C11×#484C2211yescharacteristic, complemented
87C11×#482C2211yescharacteristic, complemented
88C11×#478C2211yescharacteristic, complemented
89C11×#466C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#463C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic, complemented
93C11×#447C2211yescharacteristic
94C4×C11×D8C2211yescharacteristic, complemented
95C8×D4×C11C2211yescharacteristic, complemented
96C11×#416C2211yescharacteristic, complemented
97C2×C11×#102C2211yescharacteristic, complemented
98#10622851C2211yescharacteristic, complemented
99#10622831C2211yescharacteristic, complemented
100#10622786C2211yescharacteristic, complemented
101#10622783C2211yescharacteristic, complemented
102#10622781C2211yescharacteristic, complemented
103#10622771C2211yescharacteristic
104#10622769C2211yescharacteristic
105#10622769C2211yescharacteristic, complemented
106#10622768C2211yescharacteristic, complemented
107#10622766C2211yescharacteristic, complemented
108#10622729C2211yescharacteristic, complemented
109#10622728C2211yescharacteristic, complemented
110#10622723C2211yescharacteristic, complemented
111#10622723C2211yescharacteristic, complemented
112C8×C22⋊D11C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic, complemented
115#10622676C2211yescharacteristic, complemented
116#10622672C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622660C2211yescharacteristic, complemented
120#10622655C2211yescharacteristic, complemented
121#10622653C2211yescharacteristic, complemented
122#10622653C2211yescharacteristic, complemented
123#10622652C2211yescharacteristic, complemented
124#10622652C2211yescharacteristic, complemented
125#10622650C2211yescharacteristic
126C4×#4324C2211yescharacteristic, complemented
127C4×#4324C2211yescharacteristic, complemented
128#10622629C2211yescharacteristic, complemented
129#10622629C2211yescharacteristic, complemented
130#10622625C2211yescharacteristic, complemented
131#10622617C2211yescharacteristic, complemented
132#10622616C2211yescharacteristic, complemented
133#10622584C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622501C2211yescharacteristic, complemented
136#10622500C2211yescharacteristic, complemented
137#10622499C2211yescharacteristic, complemented
138#10622499C2211yescharacteristic, complemented
139#10622498C2211yescharacteristic, complemented
140#10622498C2211yescharacteristic, complemented
141#10622490C2211yescharacteristic, complemented
142#10622486C2211yescharacteristic, complemented
143#10622480C2211yescharacteristic, complemented
144#10622477C2211yescharacteristic, complemented
145#10622475C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622447C2211yescharacteristic, complemented
150#10622446C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622429C2211yescharacteristic, complemented
153#10622422C2211yescharacteristic, complemented
154#10622421C2211yescharacteristic, complemented
155#10622421C2211yescharacteristic, complemented
156#10622421C2211yescharacteristic, complemented
157#10622421C2211yescharacteristic, complemented
158#10622420C2211yescharacteristic, complemented
159#10622419C2211yescharacteristic, complemented
160#10622415C2211yescharacteristic, complemented
161#10622413C2211yescharacteristic, complemented
162#10622411C2211yescharacteristic, complemented
163#10622400C2211yescharacteristic, complemented
164#10622397C2211yescharacteristic, complemented
165#10622397C2211yescharacteristic, complemented
166#10622396C2211yescharacteristic, complemented
167#10622396C2211yescharacteristic, complemented
168#10622396C2211yescharacteristic, complemented
169#10622396C2211yescharacteristic, complemented
170#10622396C2211yescharacteristic, complemented
171#10622396C2211yescharacteristic, complemented
172#10622394C2211yescharacteristic
173#10622394C2211yescharacteristic
174#10622393C2211yescharacteristic, complemented
175#10622391C2211yescharacteristic, complemented
176#10622389C2211yescharacteristic, complemented
177#10622389C2211yescharacteristic, complemented
178#10622389C2211yescharacteristic, complemented
179#10622386C2211yescharacteristic
180#10622386C2211yescharacteristic
181#10622386C2211yescharacteristic, complemented
182#10622385C2211yescharacteristic, complemented
183#10622384C2211yescharacteristic, complemented
184D11×#102C2211yescharacteristic, complemented
185#10622381C2211yescharacteristic, complemented
186#10622380C2211yescharacteristic, complemented
187#10622380C2211yescharacteristic, complemented
188#10622379C2211yescharacteristic, complemented
189#10622371C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622351C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622346C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622342C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic, complemented
198#10622340C2211yescharacteristic, complemented
199C4×Dic44C2211yescharacteristic, complemented
200#10622309C2211yescharacteristic, complemented
201#10622301C2211yescharacteristic, complemented
202#10622298C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C22×C22⋊D11—21no—
207#67043—42no—
208#67043—42no—
209C2×Q8×D11C2311yescharacteristic
210C2×Q8×D11C2311yescharacteristic
211#67037—42no—
212#67037—42no—
213C2×#4341—21no—
214C2×#4341—21no—
215C2×#4341—21no—
216C2×#4341C2311yescharacteristic
217C2×#4341C2311yescharacteristic
218C2×#4341C2311yescharacteristic
219C2×#4341C2311yescharacteristic
220C2×D4×D11—21no—
221C2×D4×D11C2311yescharacteristic
222C2×D4×D11C2311yescharacteristic
223C2×D4×D11C2311yescharacteristic
224C2×#4339—21no—
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C22×Dic22—21no—
230C22×Dic22C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C2×C11×SD16C2311yescharacteristic
233C2×C11×D8C2311yescharacteristic
234C2×C11×D8C2311yescharacteristic
235C22×C8×C11C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C11×#126—21no—
238C11×#125C2311yescharacteristic
239C11×#124C2311yescharacteristic
240C11×#123—21no—
241C11×#123—21no—
242C11×C22⋊Q8C2311yescharacteristic
243C11×#121—21no—
244C11×#121—21no—
245C11×#121C2311yescharacteristic
246C11×#121C2311yescharacteristic
247C11×#121C2311yescharacteristic
248C11×#120—21no—
249C4×D4×C11—21no—
250C4×D4×C11C2311yescharacteristic
251C4×D4×C11C2311yescharacteristic
252C4×D4×C11C2311yescharacteristic
253C11×#117C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4—21no—
256#67006—21no—
257C2×C22⋊Dic11—21no—
258#67004—42no—
259#67000C2311yescharacteristic
260#66999C2311yescharacteristic
261C2×#4326C2311yescharacteristic
262C2×#4326C2311yescharacteristic
263C2×#4325C2311yescharacteristic
264#66993—21no—
265#66993—21no—
266#66993D411yescharacteristic
267#66992—21no—
268#66992—21no—
269#66992—21no—
270#66992—21no—
271#66992—21no—
272#66992—21no—
273#66992—21no—
274#66991—21no—
275#66991—21no—
276#66991D411yescharacteristic
277#66991C2311yescharacteristic
278#66991C2311yescharacteristic
279#66990—21no—
280#66990—21no—
281#66990—21no—
282#66990—21no—
283#66989C2311yescharacteristic
284#66989C2311yescharacteristic
285#66988—21no—
286D4×Dic11—21no—
287D4×Dic11—21no—
288D4×Dic11C2311yescharacteristic
289C2×#4324C2311yescharacteristic
290C2×#4324C2311yescharacteristic
291C2×#4324C2311yescharacteristic
292C2×#4324C2311yescharacteristic
293C2×#4324C2311yescharacteristic
294C2×#4324C2311yescharacteristic
295#66985—42no—
296C2×#4323C2311yescharacteristic
297C2×#4323C2311yescharacteristic
298C2×#4323C2311yescharacteristic
299#66983—21no—
300#66983—21no—
301#66983—21no—
302#66983—21no—
303#66983C2311yescharacteristic
304#66983C2311yescharacteristic
305#66982—21no—
306#66982—21no—
307C4×C22⋊D11—21no—
308C4×C22⋊D11—21no—
309C4×C22⋊D11C2311yescharacteristic
310C4×C22⋊D11C2311yescharacteristic
311C2×(C2×D11)⋊C4—21no—
312C2×(C2×D11)⋊C4—21no—
313C2×(C2×D11)⋊C4—21no—
314#66979—21no—
315#66979—21no—
316#66977C2311yescharacteristic
317#66977C2311yescharacteristic
318C2×C4×Dic11—21no—
319C2×#4318C2311yescharacteristic
320C2×#4318C2311yescharacteristic
321SD16×D11—42no—
322#66965—42no—
323#66964—42no—
324#66964—42no—
325C2×Dic44—42no—
326C2×Dic44C2311yescharacteristic
327C2×Dic44C2311yescharacteristic
328C2×Dic44C2311yescharacteristic
329C2×Dic44C2311yescharacteristic
330#66957—42no—
331C2×D88C2311yescharacteristic
332C2×#4314C2311yescharacteristic
333C2×#4314C2311yescharacteristic
334C2×#4314C2311yescharacteristic
335C2×#4314C2311yescharacteristic
336C2×#4313C2311yescharacteristic
337C2×#4313C2311yescharacteristic
338C2×C8×D11C2311yescharacteristic
339C2×C8×D11C2311yescharacteristic
340#66951—21no—
341#66951—21no—
342#66951—21no—
343#66950—21no—
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66950C2311yescharacteristic
348#66950C2311yescharacteristic
349#66950C2311yescharacteristic
350#66949—21no—
351#66949—21no—
352#66949—21no—
353#66948—21no—
354#66948D411yescharacteristic
355#66948C2311yescharacteristic
356#66948C2311yescharacteristic
357#66948C2311yescharacteristic
358#66947—21no—
359#66947—21no—
360#66947—21no—
361#66946—21no—
362#66946—21no—
363#66946C2311yescharacteristic
364#66945—21no—
365#66945—21no—
366#66945C2311yescharacteristic
367#66945C2311yescharacteristic
368C4⋊C4×D11C2311yescharacteristic
369#66943—21no—
370#66943C2311yescharacteristic
371#66942—21no—
372#66941—21no—
373#66941D411yescharacteristic
374#66940C2311yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66939—21no—
378#66939—21no—
379#66939—21no—
380#66938—21no—
381#66938—21no—
382#66938—21no—
383#66938—21no—
384#66938—21no—
385#66938—21no—
386#66938—21no—
387#66938—21no—
388#66938—21no—
389#66938—21no—
390#66938—21no—
391#66938D411yescharacteristic
392#66938D411yescharacteristic
393#66937—21no—
394#66937—21no—
395#66937—21no—
396#66937—21no—
397#66937D411yescharacteristic
398#66937D411yescharacteristic
399#66936—21no—
400#66936—21no—
401#66936—21no—
402#66936—21no—
403#66935—21no—
404#66935—21no—
405#66935—21no—
406#66935—21no—
407(C22⋊D11)⋊C4—21no—
408(C22⋊D11)⋊C4—21no—
409(C22⋊D11)⋊C4—21no—
410(C22⋊D11)⋊C4—21no—
411C22⋊C4×D11—21no—
412C22⋊C4×D11—21no—
413C22⋊C4×D11—21no—
414#66932—21no—
415#66931—21no—
416#66931—21no—
417#66931—21no—
418#66931—21no—
419#66930—21no—
420#66929—21no—
421#66928—21no—
422#66928C2311yescharacteristic
423#66928C2311yescharacteristic
424C4×D44—21no—
425C4×D44C2311yescharacteristic
426C42×D11C2311yescharacteristic
427#66922—21no—
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#107C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×#102C2311yescharacteristic
439C11×#102C2311yescharacteristic
440C11×#102C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C4×C8×C11C2311yescharacteristic
447#66899C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463#66882C2311yescharacteristic
464#66880C2311yescharacteristic
465#66880C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470C8×Dic11C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66872C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61666—111nomaximal, Sylow
491C24×C11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C11×#41—22no—
496C11×#41—41no—
497C2×Q8×C11C2411yescharacteristic
498C2×D4×C11—22no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—41no—
505C2×D4×C11C2×D411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11C2411yescharacteristic
514C22×C4×C11C2411yescharacteristic
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—44no—
529C2×C22⋊D11—44no—
530C2×C22⋊D11C2×D411yescharacteristic
531C2×C22⋊D11C2×D411yescharacteristic
532C2×C22⋊D11C2×D411yescharacteristic
533C2×C22⋊D11C2×D411yescharacteristic
534C2×C22⋊D11C2×D411yescharacteristic
535C2×C22⋊D11C2×D411yescharacteristic
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11—21no—
539C22×Dic11—21no—
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543Q8×D11—22no—
544Q8×D11—41no—
545Q8×D11—41no—
546Q8×D11—41no—
547#4341—22no—
548#4341—22no—
549#4341—22no—
550#4341—22no—
551#4341—41no—
552#4341—41no—
553#4341—41no—
554#4341—41no—
555#4341—44no—
556#4341—44no—
557#4341—44no—
558D4×D11—22no—
559D4×D11—41no—
560D4×D11—41no—
561D4×D11—41no—
562D4×D11—41no—
563D4×D11—41no—
564D4×D11—44no—
565#4339—22no—
566#4339—41no—
567#4339—41no—
568#4339—41no—
569#4339—41no—
570#4339—41no—
571#4339—41no—
572#4339—41no—
573#4339—44no—
574C2×D44—21no—
575C2×D44—21no—
576C2×D44—21no—
577C2×D44C2×D411yescharacteristic
578C2×D44C2×D411yescharacteristic
579C2×D44C2×D411yescharacteristic
580C2×D44C2411yescharacteristic
581C2×D44C2411yescharacteristic
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11C2×D411yescharacteristic
589C2×C4×D11C2×D411yescharacteristic
590C2×C4×D11C2411yescharacteristic
591C2×C4×D11C2411yescharacteristic
592C2×C4×D11C2411yescharacteristic
593C2×Dic22—22no—
594C2×Dic22—21no—
595C2×Dic22—21no—
596C2×Dic22—21no—
597C2×Dic22—21no—
598C2×Dic22—41no—
599C2×Dic22—41no—
600C2×Dic22—41no—
601C2×Dic22—44no—
602C2×Dic22C2×D411yescharacteristic
603C2×Dic22C2×D411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C2×Dic22C2411yescharacteristic
606C2×Dic22C2411yescharacteristic
607C2×Dic22C2411yescharacteristic
608C11×SD16—41no—
609C11×D8—22no—
610C11×D8—41no—
611C2×C8×C11—41no—
612C2×C8×C11—41no—
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C2×C8×C11C2411yescharacteristic
616C2×C8×C11C2411yescharacteristic
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4C2×D411yescharacteristic
622C11×C4⋊C4C2411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
625C11×C4⋊C4C2411yescharacteristic
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4C2×D411yescharacteristic
636C11×C22⋊C4C2×D411yescharacteristic
637C42×C11—21no—
638C42×C11C2411yescharacteristic
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11C2×D411yescharacteristic
649C22⋊Dic11C2×D411yescharacteristic
650#4326—41no—
651#4326—41no—
652#4325—41no—
653#4324—22no—
654#4324—22no—
655#4324—22no—
656#4324—41no—
657#4324—41no—
658#4324—41no—
659#4323—22no—
660#4323—41no—
661#4323—41no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4C2×D411yescharacteristic
684(C2×D11)⋊C4C2×D411yescharacteristic
685(C2×D11)⋊C4C2×D411yescharacteristic
686(C2×D11)⋊C4C2×D411yescharacteristic
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11C2×D411yescharacteristic
695C4⋊Dic11C2411yescharacteristic
696C4⋊Dic11C2411yescharacteristic
697Dic11⋊C4—21no—
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4C2×D411yescharacteristic
707Dic11⋊C4C2×D411yescharacteristic
708C4×Dic11—21no—
709C4×Dic11—21no—
710C4×Dic11—21no—
711C4×Dic11—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11C2×D411yescharacteristic
715C4×Dic11C2×D411yescharacteristic
716C4×Dic11C2411yescharacteristic
717#4318—41no—
718#4318—41no—
719C2×C11⋊C8C2411yescharacteristic
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723Dic44—22no—
724Dic44—22no—
725Dic44—41no—
726Dic44—41no—
727D88—41no—
728#4314—22no—
729#4314—41no—
730#4314—41no—
731#4314—41no—
732#4313—41no—
733#4313—41no—
734C8×D11—41no—
735C8×D11—41no—
736#3551—111no—
737#3500—111no—
738#3327—111no—
739#3327—111no—
740#3326—111no—
741#3326—111no—
742#3297—111no—
743#3297D1111yescharacteristic, complemented
744#3296—111no—
745#3296—111no—
746#3285—111no—
747#3285—111no—
748#3282—111no—
749#3282—111no—
750#3275—111no—
751#3275—111no—
752#3273—111no—
753#3273—111no—
754#3211—111no—
755#3211—111no—
756#3201—111no—
757#3201—111no—
758#3200—111no—
759#3199—111no—
760#3102—111no—
761#3102—111no—
762#3012—111no—
763#3012—111no—
764#3011—111no—
765#3010—111no—
766#2979—111no—
767C23×C11—21no—
768C23×C11—21no—
769C23×C11—21no—
770C23×C11—42no—
771C23×C11—81no—
772C23×C11—81no—
773C23×C11C22×D411yescharacteristic
774C23×C11C22×D411yescharacteristic
775C22×D11—21no—
776C22×D11—21no—
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×D11C22×D411yescharacteristic
787C22×D11C22×D411yescharacteristic
788C22×D11C22×D411yescharacteristic
789Q8×C11—21no—
790Q8×C11—21no—
791D4×C11—21no—
792D4×C11—21no—
793D4×C11—21no—
794D4×C11—21no—
795D4×C11—21no—
796D4×C11—41no—
797D4×C11—42no—
798D4×C11—42no—
799D4×C11—81no—
800D4×C11—81no—
801D4×C11—81no—
802D4×C11H(5,𝔽2)12yes—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—42no—
813C2×C4×C11—81no—
814C2×C4×C11—81no—
815C2×C4×C11—81no—
816C2×C4×C11C22×D411yescharacteristic
817C2×C4×C11C22×D411yescharacteristic
818C2×C4×C11C22×D411yescharacteristic
819C2×C4×C11C22×D411yescharacteristic
820C2×C4×C11C2511yescharacteristic
821C22⋊D11—24no—
822C22⋊D11—41no—
823C22⋊D11—41no—
824C22⋊D11—41no—
825C22⋊D11—41no—
826C22⋊D11—41no—
827C22⋊D11—41no—
828C22⋊D11—42no—
829C22⋊D11—42no—
830C22⋊D11—42no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—81no—
834C22⋊D11—81no—
835C22⋊D11—81no—
836C22⋊D11—81no—
837C22⋊D11—81no—
838C22⋊D11—81no—
839C22⋊D11—81no—
840C2×Dic11—24no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—42no—
848C2×Dic11—42no—
849C2×Dic11—42no—
850C2×Dic11—81no—
851C2×Dic11—81no—
852C2×Dic11—81no—
853C2×Dic11C22×D411yescharacteristic
854C2×Dic11C22×D411yescharacteristic
855C2×Dic11C22×D411yescharacteristic
856C2×Dic11C22×D411yescharacteristic
857C2×Dic11C22×D411yescharacteristic
858D44—21no—
859D44—21no—
860D44—21no—
861D44—21no—
862D44—41no—
863D44—41no—
864D44—41no—
865D44—81no—
866D44—81no—
867D44—81no—
868C4×D11—21no—
869C4×D11—21no—
870C4×D11—21no—
871C4×D11—21no—
872C4×D11—21no—
873C4×D11—21no—
874C4×D11—41no—
875C4×D11—41no—
876C4×D11—42no—
877C4×D11—42no—
878C4×D11—42no—
879C4×D11—81no—
880C4×D11—81no—
881C4×D11—81no—
882Dic22—21no—
883Dic22—21no—
884Dic22—21no—
885Dic22—21no—
886Dic22—21no—
887Dic22—21no—
888Dic22—21no—
889Dic22—41no—
890Dic22—41no—
891Dic22—42no—
892Dic22—42no—
893Dic22—42no—
894Dic22—81no—
895Dic22H(5,𝔽2)12yes—
896C8×C11—21no—
897C8×C11—21no—
898C8×C11—21no—
899C8×C11—21no—
900C11⋊C8—21no—
901C11⋊C8—21no—
902C11⋊C8—21no—
903C11⋊C8—21no—
904C2×2−1+4—111no—
905C2×H(5,𝔽2)—111no—
906C2×#137—111no—
907C2×AGL(1,ℤ/8)—111no—
908C2×AGL(1,ℤ/8)—111no—
909C2×AGL(1,ℤ/8)—111no—
910C2×#135—111no—
911C2×#135—111no—
912C22×Q16—111no—
913C22×SD16—111no—
914#563—221no—
915#560—221no—
916#555—221no—
917#553—111no—
918#553C2×D1111yescharacteristic, complemented
919#552—111no—
920#552—111no—
921#551—221no—
922#548—111no—
923#548—111no—
924#548—111no—
925#548—111no—
926#548—111no—
927#548—111no—
928#546—111no—
929#546—111no—
930#546—111no—
931#546—111no—
932#546—111no—
933#546—221no—
934#546—221no—
935#546—221no—
936#546—221no—
937#546C2×D1111yescharacteristic, complemented
938#540—221no—
939#540—221no—
940#538—221no—
941#538—221no—
942#537—111no—
943#537—111no—
944#536—111no—
945#536—111no—
946#536—221no—
947#535—111no—
948#535—111no—
949#535—221no—
950#532—111no—
951#532—221no—
952#529—111no—
953#529—111no—
954C2×#124—111no—
955C2×#124—221no—
956C4×#41—111no—
957#495—111no—
958#495—111no—
959#495—111no—
960#495—111no—
961#488—111no—
962#488—111no—
963#488—111no—
964#488C2×D1111yescharacteristic, complemented
965#485—111no—
966#485—111no—
967#484—111no—
968#484C2×D1111yescharacteristic, complemented
969#483—111no—
970#483—111no—
971#482—111no—
972#482—111no—
973#482—111no—
974#482—111no—
975#482—111no—
976#482C2×D1111yescharacteristic, complemented
977#479—111no—
978#479—111no—
979#478—111no—
980#478C2×D1111yescharacteristic, complemented
981#470—111no—
982#470—111no—
983#469—111no—
984#469—111no—
985#468—111no—
986#468—111no—
987#468—111no—
988#468—111no—
989#467—111no—
990#467—111no—
991#466—111no—
992#466C2×D1111yescharacteristic, complemented
993#465—111no—
994#465—111no—
995#465—111no—
996#465C2×D1111yescharacteristic, complemented
997#464—111no—
998#464—111no—
999#464—111no—
1000#464—111no—
1001#464—111no—
1002#464—111no—
1003#463—111no—
1004#463—111no—
1005#463—111no—
1006#463—111no—
1007#463—111no—
1008#463C2×D1111yescharacteristic, complemented
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#452—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#450—111no—
1024#450—111no—
1025#450—111no—
1026#450—111no—
1027#449—111no—
1028#449—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#449C2×D1111yescharacteristic, complemented
1033#448—111no—
1034#448—111no—
1035#448—111no—
1036#448—111no—
1037#448—111no—
1038#448—111no—
1039#447—111no—
1040#447—111no—
1041#447—111no—
1042#447—111no—
1043#447—111no—
1044#447C2×D1111yescharacteristic
1045C4×Q16—111no—
1046C4×Q16—111no—
1047C4×SD16—111no—
1048C4×SD16—111no—
1049C4×SD16—111no—
1050C4×SD16—111no—
1051C4×D8—111no—
1052C4×D8C2×D1111yescharacteristic, complemented
1053#436—111no—
1054#436—111no—
1055#436—111no—
1056#436—111no—
1057C8×D4—111no—
1058C8×D4—111no—
1059C8×D4—111no—
1060C8×D4C2×D1111yescharacteristic, complemented
1061#431—111no—
1062#431—111no—
1063#419—111no—
1064#419—111no—
1065#417—111no—
1066#417—111no—
1067#416—111no—
1068#416C2×D1111yescharacteristic, complemented
1069C2×#102—111no—
1070C2×#102C2×D1111yescharacteristic, complemented
1071#408—111no—
1072#408—111no—
1073#408—111no—
1074#408—111no—
1075C22×C11—21no—
1076C22×C11—21no—
1077C22×C11—21no—
1078C22×C11—21no—
1079C22×C11—21no—
1080C22×C11—21no—
1081C22×C11—22no—
1082C22×C11—41no—
1083C22×C11—41no—
1084C22×C11—41no—
1085C22×C11—41no—
1086C22×C11—41no—
1087C22×C11—41no—
1088C22×C11—41no—
1089C22×C11—41no—
1090C22×C11—162no—
1091C22×C11C23×D411yescharacteristic
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—21no—
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—21no—
1099C2×D11—21no—
1100C2×D11—21no—
1101C2×D11—41no—
1102C2×D11—41no—
1103C2×D11—41no—
1104C2×D11—41no—
1105C2×D11—41no—
1106C2×D11—41no—
1107C2×D11—162no—
1108C2×D11—162no—
1109C2×D11—162no—
1110C4×C11—21no—
1111C4×C11—21no—
1112C4×C11—21no—
1113C4×C11—21no—
1114C4×C11—41no—
1115C4×C11—41no—
1116C4×C11—41no—
1117C4×C11—41no—
1118C4×C11—41no—
1119C4×C11C2×H(5,𝔽2)11yescharacteristic
1120C4×C11C2×H(5,𝔽2)11yescharacteristic
1121Dic11—21no—
1122Dic11—21no—
1123Dic11—22no—
1124Dic11—21no—
1125Dic11—21no—
1126Dic11—21no—
1127Dic11—41no—
1128Dic11—41no—
1129Dic11—41no—
1130Dic11—41no—
1131Dic11—41no—
11322−1+4—442no—
11332−1+4—442no—
1134H(5,𝔽2)—442no—
1135H(5,𝔽2)—442no—
1136C2×#41—111no—
1137C2×#41—111no—
1138C2×#41—111no—
1139C2×#41—111no—
1140C2×#41—111no—
1141C2×#41—111no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—221no—
1145C2×#41—221no—
1146C2×#41—221no—
1147C2×#41—221no—
1148C2×#41C22×D1111yescharacteristic
1149C22×Q8—111no—
1150C22×Q8—111no—
1151C22×Q8—111no—
1152C22×Q8—111no—
1153C22×Q8—221no—
1154C22×D4—111no—
1155C22×D4—111no—
1156C22×D4—111no—
1157C22×D4—221no—
1158C22×D4—221no—
1159C22×D4—221no—
1160C22×D4C22×D1111yescharacteristic
1161#137—442no—
1162AGL(1,ℤ/8)—442no—
1163AGL(1,ℤ/8)—442no—
1164AGL(1,ℤ/8)—442no—
1165#135—442no—
1166#135—442no—
1167C2×Q16—111no—
1168C2×Q16—111no—
1169C2×Q16—111no—
1170C2×Q16—111no—
1171C2×Q16—111no—
1172C2×Q16—111no—
1173C2×Q16—442no—
1174C2×SD16—111no—
1175C2×SD16—111no—
1176C2×SD16—111no—
1177C2×SD16—111no—
1178C2×SD16—111no—
1179C2×SD16—111no—
1180C2×SD16—111no—
1181C2×SD16—111no—
1182C2×SD16—111no—
1183C2×SD16—111no—
1184C2×SD16—111no—
1185C2×SD16—442no—
1186C2×SD16C22×D1111yescharacteristic
1187C2×D8—111no—
1188C2×D8—111no—
1189C2×D8—111no—
1190C2×D8—111no—
1191C2×D8C22×D1111yescharacteristic
1192C2×D8C22×D1111yescharacteristic
1193C2×M16—111no—
1194C2×M16—111no—
1195C2×M16—111no—
1196C2×M16—111no—
1197C22×C8—111no—
1198C22×C8—111no—
1199C22×C8C22×D1111yescharacteristic
1200C22×C8C22×D1111yescharacteristic
1201C4⋊Q8—111no—
1202C4⋊Q8—221no—
1203C4⋊Q8—221no—
1204#127—111no—
1205#127—221no—
1206#127—221no—
1207#126—21no—
1208#126—221no—
1209#126—221no—
1210#126—221no—
1211#126—221no—
1212#126—221no—
1213#125—111no—
1214#125—221no—
1215#125—221no—
1216#125C22×D1111yescharacteristic
1217#124—111no—
1218#124—111no—
1219#124—111no—
1220#124—111no—
1221#124—111no—
1222#124—111no—
1223#124—111no—
1224#124—221no—
1225#124—221no—
1226#124—221no—
1227#124—221no—
1228#124—221no—
1229#124—221no—
1230#124—221no—
1231#124—221no—
1232#124—221no—
1233#124—221no—
1234#124—221no—
1235#124—221no—
1236#124C22×D1111yescharacteristic
1237#123—21no—
1238#123—21no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250#123—221no—
1251#123—221no—
1252#123—221no—
1253C22⋊Q8—111no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8C22×D1111yescharacteristic
1271#121—21no—
1272#121—21no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—111no—
1278#121—111no—
1279#121—111no—
1280#121—111no—
1281#121—111no—
1282#121—111no—
1283#121—111no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#121—221no—
1299#121—221no—
1300#121—221no—
1301#121—221no—
1302#121C22×D1111yescharacteristic
1303#121C22×D1111yescharacteristic
1304#121C22×D1111yescharacteristic
1305#120—21no—
1306#120—221no—
1307#120—221no—
1308#120—221no—
1309#120—221no—
1310#120—221no—
1311#120—221no—
1312#120—221no—
1313#120—221no—
1314#120—221no—
1315C4×Q8—111no—
1316C4×Q8—111no—
1317C4×Q8—111no—
1318C4×Q8—111no—
1319C4×D4—21no—
1320C4×D4—111no—
1321C4×D4—111no—
1322C4×D4—111no—
1323C4×D4—111no—
1324C4×D4—111no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332C4×D4—221no—
1333C4×D4—221no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4C22×D1111yescharacteristic
1337C4×D4C22×D1111yescharacteristic
1338C4×D4C22×D1111yescharacteristic
1339#117—111no—
1340#117—111no—
1341#117—221no—
1342#117—221no—
1343#117—221no—
1344#117—221no—
1345#117—221no—
1346#117C22×D1111yescharacteristic
1347C2×C4⋊C4—111no—
1348C2×C4⋊C4C22×D1111yescharacteristic
1349C2×C22⋊C4—21no—
1350C2×C22⋊C4—221no—
1351C2×C22⋊C4—221no—
1352C2×C22⋊C4—221no—
1353C2×C22⋊C4—221no—
1354C2×C22⋊C4—221no—
1355C2×C22⋊C4—221no—
1356C2×C22⋊C4—221no—
1357C2×C42—111no—
1358C2×C42—221no—
1359#107—111no—
1360#107—111no—
1361#107C22×D1111yescharacteristic
1362#107C22×D1111yescharacteristic
1363#106—111no—
1364#106—111no—
1365#106—111no—
1366#106C22×D1111yescharacteristic
1367C4⋊C8—111no—
1368C4⋊C8—111no—
1369C4⋊C8—111no—
1370C4⋊C8C22×D1111yescharacteristic
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103C22×D1111yescharacteristic
1385#103C22×D1111yescharacteristic
1386#103C22×D1111yescharacteristic
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102—111no—
1391#102—111no—
1392#102—111no—
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396#102C22×D1111yescharacteristic
1397#102C22×D1111yescharacteristic
1398#102C22×D1111yescharacteristic
1399#102C22×D1111yescharacteristic
1400#102C22×D1111yescharacteristic
1401#102C22×D1111yescharacteristic
1402#102C22×D1111yescharacteristic
1403C22⋊C8—111no—
1404C22⋊C8—111no—
1405C22⋊C8—111no—
1406C22⋊C8—111no—
1407C22⋊C8—111no—
1408C22⋊C8—111no—
1409C22⋊C8—111no—
1410C22⋊C8—111no—
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8C22×D1111yescharacteristic
1414C22⋊C8C22×D1111yescharacteristic
1415C4×C8—111no—
1416C4×C8—111no—
1417C4×C8—111no—
1418C4×C8C22×D1111yescharacteristic
1419C2×C11—42no—
1420C2×C11—41no—
1421C2×C11—41no—
1422C2×C11—81no—
1423C2×C11—81no—
1424C2×C11#348411yescharacteristic
1425C2×C11#358411yescharacteristic
1426C2×C11#358411yescharacteristic
1427D11—41no—
1428D11—41no—
1429D11—41no—
1430D11—81no—
1431D11—81no—
1432C24—21no—
1433C24—221no—
1434C24—221no—
1435C24—221no—
1436#41—22no—
1437#41—41no—
1438#41—222no—
1439#41—222no—
1440#41—222no—
1441#41—222no—
1442#41—222no—
1443#41—441no—
1444#41—441no—
1445#41—441no—
1446#41—441no—
1447#41—441no—
1448#41—441no—
1449#41—441no—
1450#41—444no—
1451#41—441no—
1452#41—441no—
1453#41—444no—
1454#41—444no—
1455#41—441no—
1456#41—441no—
1457#41—444no—
1458C2×Q8—111no—
1459C2×Q8—111no—
1460C2×Q8—111no—
1461C2×Q8—111no—
1462C2×Q8—111no—
1463C2×Q8—111no—
1464C2×Q8—221no—
1465C2×Q8—221no—
1466C2×Q8—222no—
1467C2×Q8—221no—
1468C2×Q8—221no—
1469C2×Q8—222no—
1470C2×Q8—441no—
1471C2×Q8—441no—
1472C2×Q8—441no—
1473C2×Q8—444no—
1474C2×Q8—441no—
1475C2×Q8—441no—
1476C2×Q8—441no—
1477C2×Q8C23×D1111yescharacteristic
1478C2×D4—22no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—41no—
1485C2×D4—111no—
1486C2×D4—111no—
1487C2×D4—111no—
1488C2×D4—111no—
1489C2×D4—111no—
1490C2×D4—111no—
1491C2×D4—111no—
1492C2×D4—111no—
1493C2×D4—111no—
1494C2×D4—111no—
1495C2×D4—111no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—221no—
1503C2×D4—222no—
1504C2×D4—221no—
1505C2×D4—221no—
1506C2×D4—221no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—441no—
1514C2×D4—441no—
1515C2×D4—441no—
1516C2×D4—441no—
1517C2×D4—441no—
1518C2×D4—444no—
1519C2×D4—444no—
1520C2×D4—444no—
1521C2×D4D4×D1111yescharacteristic
1522C2×D4C23×D1111yescharacteristic
1523C2×D4C23×D1111yescharacteristic
1524C2×D4C23×D1111yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—111no—
1530C22×C4—111no—
1531C22×C4—111no—
1532C22×C4—111no—
1533C22×C4—111no—
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×C4C23×D1111yescharacteristic
1548C22×C4C23×D1111yescharacteristic
1549Q16—222no—
1550Q16—222no—
1551Q16—441no—
1552Q16—441no—
1553Q16—441no—
1554Q16—441no—
1555SD16—41no—
1556SD16—222no—
1557SD16—222no—
1558SD16—222no—
1559SD16—222no—
1560SD16—441no—
1561SD16—441no—
1562SD16—441no—
1563SD16—441no—
1564SD16—441no—
1565SD16—441no—
1566SD16—441no—
1567D8—22no—
1568D8—41no—
1569D8—222no—
1570D8—441no—
1571D8—441no—
1572D8—441no—
1573M16—441no—
1574M16—441no—
1575M16—441no—
1576M16—441no—
1577C2×C8—41no—
1578C2×C8—41no—
1579C2×C8—111no—
1580C2×C8—111no—
1581C2×C8—111no—
1582C2×C8—111no—
1583C2×C8—441no—
1584C2×C8—441no—
1585C2×C8C23×D1111yescharacteristic
1586C2×C8C23×D1111yescharacteristic
1587C2×C8C23×D1111yescharacteristic
1588C2×C8C23×D1111yescharacteristic
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—111no—
1594C4⋊C4—111no—
1595C4⋊C4—111no—
1596C4⋊C4—111no—
1597C4⋊C4—111no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4—221no—
1614C4⋊C4D4×D1111yescharacteristic
1615C4⋊C4C23×D1111yescharacteristic
1616C4⋊C4C23×D1111yescharacteristic
1617C4⋊C4C23×D1111yescharacteristic
1618C4⋊C4C23×D1111yescharacteristic
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—111no—
1629C22⋊C4—111no—
1630C22⋊C4—111no—
1631C22⋊C4—111no—
1632C22⋊C4—111no—
1633C22⋊C4—111no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4D4×D1111yescharacteristic
1665C22⋊C4D4×D1111yescharacteristic
1666C42—21no—
1667C42—111no—
1668C42—111no—
1669C42—111no—
1670C42—221no—
1671C42—221no—
1672C42—221no—
1673C42—221no—
1674C42—221no—
1675C42—221no—
1676C42C23×D1111yescharacteristic
1677C11#6166611yescharacteristic, complemented, Sylow
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—42no—
1682C23—81no—
1683C23—81no—
1684C23—111no—
1685C23—111no—
1686C23—111no—
1687C23—221no—
1688C23—221no—
1689C23—442no—
1690C23—442no—
1691C23—881no—
1692C23—881no—
1693C23—881no—
1694C23—881no—
1695C23—881no—
1696C23—881no—
1697C23—881no—
1698C23C2×D4×D1111yescharacteristic
1699C23C2×D4×D1111yescharacteristic
1700Q8—21no—
1701Q8—21no—
1702Q8—112no—
1703Q8—221no—
1704Q8—221no—
1705Q8—221no—
1706Q8—221no—
1707Q8—221no—
1708Q8—221no—
1709Q8—221no—
1710Q8—441no—
1711Q8—441no—
1712Q8—442no—
1713Q8—442no—
1714Q8—442no—
1715Q8—881no—
1716D4—21no—
1717D4—21no—
1718D4—21no—
1719D4—21no—
1720D4—21no—
1721D4—41no—
1722D4—42no—
1723D4—42no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—224no—
1728D4—221no—
1729D4—221no—
1730D4—221no—
1731D4—221no—
1732D4—441no—
1733D4—441no—
1734D4—441no—
1735D4—441no—
1736D4—441no—
1737D4—441no—
1738D4—441no—
1739D4—441no—
1740D4—441no—
1741D4—442no—
1742D4—442no—
1743D4—442no—
1744D4—442no—
1745D4—442no—
1746D4—881no—
1747D4—881no—
1748D4—881no—
1749D4—881no—
1750D4—881no—
1751D4—881no—
1752D4—881no—
1753D4—881no—
1754D4—881no—
1755D4—881no—
1756D4#6704212yes—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—42no—
1767C2×C4—81no—
1768C2×C4—81no—
1769C2×C4—81no—
1770C2×C4—111no—
1771C2×C4—111no—
1772C2×C4—111no—
1773C2×C4—111no—
1774C2×C4—111no—
1775C2×C4—224no—
1776C2×C4—221no—
1777C2×C4—221no—
1778C2×C4—221no—
1779C2×C4—221no—
1780C2×C4—221no—
1781C2×C4—221no—
1782C2×C4—221no—
1783C2×C4—221no—
1784C2×C4—221no—
1785C2×C4—221no—
1786C2×C4—221no—
1787C2×C4—221no—
1788C2×C4—441no—
1789C2×C4—441no—
1790C2×C4—442no—
1791C2×C4—442no—
1792C2×C4—442no—
1793C2×C4—442no—
1794C2×C4—442no—
1795C2×C4—442no—
1796C2×C4—881no—
1797C2×C4—881no—
1798C2×C4—881no—
1799C2×C4—881no—
1800C2×C4—881no—
1801C2×C4—881no—
1802C2×C4C2×D4×D1111yescharacteristic
1803C2×C4C2×D4×D1111yescharacteristic
1804C2×C4C2×D4×D1111yescharacteristic
1805C2×C4C2×D4×D1111yescharacteristic
1806C2×C4C24×D1111yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—221no—
1812C8—221no—
1813C8—221no—
1814C8—221no—
1815C22—21no—
1816C22—21no—
1817C22—22no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—162no—
1831C22—221no—
1832C22—221no—
1833C22—221no—
1834C22—221no—
1835C22—221no—
1836C22—221no—
1837C22—221no—
1838C22—221no—
1839C22—221no—
1840C22—441no—
1841C22—441no—
1842C22—441no—
1843C22—441no—
1844C22—441no—
1845C22—441no—
1846C22—1762no—
1847C22—1762no—
1848C22—1762no—
1849C22C22×D4×D1111yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—21no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—221no—
1860C4—221no—
1861C4—221no—
1862C4—222no—
1863C4—221no—
1864C4—221no—
1865C4—441no—
1866C4—441no—
1867C4—441no—
1868C4—441no—
1869C4—441no—
1870C4C2×#6704211yescharacteristic
1871C4D11×H(5,𝔽2)11yescharacteristic
1872C2—41no—
1873C2—41no—
1874C2—42no—
1875C2—81no—
1876C2—81no—
1877C2—441no—
1878C2—441no—
1879C2—441no—
1880C2—881no—
1881C2—881no—
1882C2#1308224611yescharacteristic
1883C2#1308338411yescharacteristic
1884C2#1308338511yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3297C2
socleC22×C11C23×D4
hypercenter#3297D11
hypocenterC11#61666
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #13083042C2semidirect
2. #13082402C2semidirect
3. #13080887C2semidirect
4. #13080883C2semidirect
5. #13080867C2semidirect
6. #13080863C2semidirect
7. #13080467C2semidirect
8. #13080448C2semidirect
9. #13080447C2semidirect
10. #13080359C2semidirect
11. #13080354C2semidirect
12. #13080330C2semidirect
13. #13080329C2semidirect
14. #13080245C2semidirect
15. #13080243C2semidirect
16. #13080227C2semidirect
17. #13080226C2semidirect
18. #13079582C2semidirect
19. #13079579C2semidirect
20. #13079503C2semidirect
21. #13079491C2semidirect
22. #13079490C2semidirect
23. #13079476C2semidirect
24. #13078639C2semidirect
25. #13078630C2semidirect
26. #13077925C2semidirect
27. #13077915C2semidirect
28. #13077914C2semidirect
29. #13077899C2semidirect
30. #13077679C2semidirect
31. C11×#3297C2semidirect
33. C2×#67037C22semidirect
34. C11×#553C22semidirect
35. C11×#546C22semidirect
36. #10623360C22semidirect
37. C2×#67004C22semidirect
40. C2×SD16×D11C22semidirect
43. C2×#66964C22semidirect
44. C22×Dic44C22semidirect
48. #10623225C22semidirect
49. #10623222C22semidirect
51. D11×#124C22semidirect
57. #10623159C22semidirect
60. #10623143C22semidirect
64. #10623138C22semidirect
65. #10623129C22semidirect
66. #10623129C22semidirect
72. #10623088C22semidirect
74. #10623085C22semidirect
75. #10623083C22semidirect
76. #10623083C22semidirect
78. C4×#4341C22semidirect
79. #10623061C22semidirect
80. #10623057C22semidirect
81. #10623044C22semidirect
85. C11×#488C22semidirect
86. C11×#484C22semidirect
87. C11×#482C22semidirect
88. C11×#478C22semidirect
89. C11×#466C22semidirect
90. C11×#465C22semidirect
91. C11×#463C22semidirect
92. C11×#449C22semidirect
94. C4×C11×D8C22semidirect
95. C8×D4×C11C22semidirect
96. C11×#416C22semidirect
97. C2×C11×#102C22semidirect
98. #10622851C22semidirect
99. #10622831C22semidirect
100. #10622786C22semidirect
101. #10622783C22semidirect
102. #10622781C22semidirect
105. #10622769C22semidirect
106. #10622768C22semidirect
107. #10622766C22semidirect
108. #10622729C22semidirect
109. #10622728C22semidirect
110. #10622723C22semidirect
111. #10622723C22semidirect
112. C8×C22⋊D11C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622681C22semidirect
115. #10622676C22semidirect
116. #10622672C22semidirect
117. #10622667C22semidirect
118. #10622665C22semidirect
119. #10622660C22semidirect
120. #10622655C22semidirect
121. #10622653C22semidirect
122. #10622653C22semidirect
123. #10622652C22semidirect
124. #10622652C22semidirect
126. C4×#4324C22semidirect
127. C4×#4324C22semidirect
128. #10622629C22semidirect
129. #10622629C22semidirect
130. #10622625C22semidirect
131. #10622617C22semidirect
132. #10622616C22semidirect
133. #10622584C22semidirect
134. #10622579C22semidirect
135. #10622501C22semidirect
136. #10622500C22semidirect
137. #10622499C22semidirect
138. #10622499C22semidirect
139. #10622498C22semidirect
140. #10622498C22semidirect
141. #10622490C22semidirect
142. #10622486C22semidirect
143. #10622480C22semidirect
144. #10622477C22semidirect
145. #10622475C22semidirect
146. #10622465C22semidirect
147. #10622458C22semidirect
148. #10622458C22semidirect
149. #10622447C22semidirect
150. #10622446C22semidirect
151. #10622432C22semidirect
152. #10622429C22semidirect
153. #10622422C22semidirect
154. #10622421C22semidirect
155. #10622421C22semidirect
156. #10622421C22semidirect
157. #10622421C22semidirect
158. #10622420C22semidirect
159. #10622419C22semidirect
160. #10622415C22semidirect
161. #10622413C22semidirect
162. #10622411C22semidirect
163. #10622400C22semidirect
164. #10622397C22semidirect
165. #10622397C22semidirect
166. #10622396C22semidirect
167. #10622396C22semidirect
168. #10622396C22semidirect
169. #10622396C22semidirect
170. #10622396C22semidirect
171. #10622396C22semidirect
174. #10622393C22semidirect
175. #10622391C22semidirect
176. #10622389C22semidirect
177. #10622389C22semidirect
178. #10622389C22semidirect
181. #10622386C22semidirect
182. #10622385C22semidirect
183. #10622384C22semidirect
184. D11×#102C22semidirect
185. #10622381C22semidirect
186. #10622380C22semidirect
187. #10622380C22semidirect
188. #10622379C22semidirect
189. #10622371C22semidirect
190. #10622369C22semidirect
191. #10622351C22semidirect
192. #10622351C22semidirect
193. #10622346C22semidirect
194. #10622346C22semidirect
195. #10622342C22semidirect
196. #10622342C22semidirect
197. #10622340C22semidirect
198. #10622340C22semidirect
199. C4×Dic44C22semidirect
200. #10622309C22semidirect
201. #10622301C22semidirect
202. #10622298C22semidirect
743. #3297D11semidirect
918. #553C2×D11semidirect
937. #546C2×D11semidirect
964. #488C2×D11semidirect
968. #484C2×D11semidirect
976. #482C2×D11semidirect
980. #478C2×D11semidirect
992. #466C2×D11semidirect
996. #465C2×D11semidirect
1008. #463C2×D11semidirect
1032. #449C2×D11semidirect
1052. C4×D8C2×D11semidirect
1060. C8×D4C2×D11semidirect
1068. #416C2×D11semidirect
1070. C2×#102C2×D11semidirect
1677. C11#61666semidirect

Maximal subgroups

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

subgroupindex
#130830422
#130824022
#130808872
#130808832
#130808672
#130808632
#130804672
#130804482
#130804472
#130803592
#130803542
#130803302
#130803292
#130802452
#130802432
#130802272
#130802262
#130795822
#130795792
#130795032
#130794912
#130794902
#130794762
#130786392
#130786302
#130779252
#130779152
#130779142
#130778992
#130776792
C11×#32972
#6166611