Finite Group Databasebeta

← #15625302

Subgroups — #15625302

Order 2816.

2030 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082003C211yesmaximal, characteristic, complemented
2D11×#536C211yesmaximal, characteristic, complemented
3#13079728C211yesmaximal, characteristic, complemented
4#13079727C211yesmaximal, characteristic, complemented
5#13079726C211yesmaximal, characteristic, complemented
6#13079725C211yesmaximal, characteristic, complemented
7#13079720C211yesmaximal, characteristic, complemented
8#13079719C211yesmaximal, characteristic, complemented
9#13079718C211yesmaximal, characteristic, complemented
10#13079698C211yesmaximal, characteristic, complemented
11#13079697C211yesmaximal, characteristic, complemented
12#13079696C211yesmaximal, characteristic, complemented
13#13079695C211yesmaximal, characteristic, complemented
14#13079676C211yesmaximal, characteristic, complemented
15#13079675C211yesmaximal, characteristic, complemented
16#13079674C211yesmaximal, characteristic, complemented
17#13079673C211yesmaximal, characteristic, complemented
18#13079077C211yesmaximal, characteristic, complemented
19#13079072C211yesmaximal, characteristic, complemented
20#13079001C211yesmaximal, characteristic, complemented
21#13078993C211yesmaximal, characteristic, complemented
22#13078107C211yesmaximal, characteristic, complemented
23#13078105C211yesmaximal, characteristic, complemented
24#13078100C211yesmaximal, characteristic, complemented
25#13078098C211yesmaximal, characteristic, complemented
26#13077859C211yesmaximal, characteristic, complemented
27#13077854C211yesmaximal, characteristic, complemented
28#13077851C211yesmaximal, characteristic, complemented
29#13077847C211yesmaximal, characteristic, complemented
30#13077250C211yesmaximal, characteristic, complemented
31C11×#3225C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×Q8×D11C2211yescharacteristic
34C11×#542C2211yescharacteristic, complemented
35C11×#536C2211yescharacteristic
36#10623356C2211yescharacteristic
37#10623347C2211yescharacteristic
38C2×#66971C2211yescharacteristic
39C2×#66971C2211yescharacteristic
40C2×#66971C2211yescharacteristic
41C2×#66968C2211yescharacteristic
42C2×#66968C2211yescharacteristic
43C2×#66968C2211yescharacteristic
44C2×#66967C2211yescharacteristic
45C2×#66964C2211yescharacteristic
46#10623264C2211yescharacteristic, complemented
47#10623259C2211yescharacteristic
48#10623255C2211yescharacteristic
49#10623255C2211yescharacteristic
50D11×C4⋊Q8C2211yescharacteristic
51D11×C4⋊Q8C2211yescharacteristic
52#10623238—21no—
53#10623237—21no—
54#10623213C2211yescharacteristic, complemented
55#10623211—21no—
56#10623209—21no—
57#10623206C2211yescharacteristic
58#10623206C2211yescharacteristic
59D11×#124C2211yescharacteristic
60D11×#124C2211yescharacteristic
61#10623199C2211yescharacteristic
62#10623188—21no—
63D11×#123—21no—
64D11×#123—21no—
65#10623180—21no—
66#10623179—21no—
67#10623179—21no—
68#10623169—21no—
69#10623159—21no—
70#10623159—21no—
71#10623158C2211yescharacteristic
72D11×C22⋊Q8—21no—
73D11×C22⋊Q8—21no—
74#10623156C2211yescharacteristic, complemented
75#10623155—21no—
76#10623150C2211yescharacteristic, complemented
77#10623137C2211yescharacteristic
78#10623114C2211yescharacteristic, complemented
79C4×#4343C2211yescharacteristic
80#10623093C2211yescharacteristic, complemented
81C4×#4341C2211yescharacteristic
82#10623065C2211yescharacteristic, complemented
83#10623057C2211yescharacteristic
84D11×#117C2211yescharacteristic
85C11×#497C2211yescharacteristic, complemented
86C11×#495C2211yescharacteristic, complemented
87C11×#489C2211yescharacteristic, complemented
88C11×#487C2211yescharacteristic, complemented
89C11×#464C2211yescharacteristic, complemented
90C11×#463C2211yescharacteristic, complemented
91C11×#462C2211yescharacteristic, complemented
92C11×#461C2211yescharacteristic, complemented
93C11×#452C2211yescharacteristic
94C11×#451C2211yescharacteristic, complemented
95C11×#449C2211yescharacteristic
96C11×#448C2211yescharacteristic, complemented
97C11×#433C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic
99#10622851C2211yescharacteristic
100#10622841C2211yescharacteristic, complemented
101#10622840C2211yescharacteristic, complemented
102#10622803C2211yescharacteristic, complemented
103#10622800C2211yescharacteristic
104#10622799C2211yescharacteristic, complemented
105#10622799C2211yescharacteristic, complemented
106#10622798C2211yescharacteristic, complemented
107#10622795C2211yescharacteristic, complemented
108#10622795C2211yescharacteristic, complemented
109#10622794C2211yescharacteristic, complemented
110#10622794C2211yescharacteristic, complemented
111#10622789C2211yescharacteristic, complemented
112#10622788C2211yescharacteristic, complemented
113#10622788C2211yescharacteristic, complemented
114#10622786C2211yescharacteristic
115#10622785C2211yescharacteristic
116#10622783C2211yescharacteristic, complemented
117#10622783C2211yescharacteristic, complemented
118#10622780C2211yescharacteristic, complemented
119#10622779C2211yescharacteristic, complemented
120#10622778C2211yescharacteristic, complemented
121#10622775C2211yescharacteristic, complemented
122#10622775C2211yescharacteristic, complemented
123#10622771C2211yescharacteristic
124#10622767C2211yescharacteristic, complemented
125#10622766C2211yescharacteristic, complemented
126#10622706C2211yescharacteristic, complemented
127#10622703C2211yescharacteristic, complemented
128#10622702C2211yescharacteristic, complemented
129#10622699C2211yescharacteristic, complemented
130#10622696C2211yescharacteristic, complemented
131#10622694C2211yescharacteristic, complemented
132#10622673C2211yescharacteristic, complemented
133#10622672C2211yescharacteristic, complemented
134#10622672C2211yescharacteristic, complemented
135#10622670C2211yescharacteristic, complemented
136#10622668C2211yescharacteristic, complemented
137#10622667C2211yescharacteristic, complemented
138#10622663C2211yescharacteristic, complemented
139#10622660C2211yescharacteristic
140#10622653C2211yescharacteristic, complemented
141#10622650C2211yescharacteristic
142#10622644C2211yescharacteristic, complemented
143#10622641C2211yescharacteristic, complemented
144#10622632C2211yescharacteristic, complemented
145#10622629C2211yescharacteristic, complemented
146#10622613C2211yescharacteristic, complemented
147#10622462C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic, complemented
150#10622454C2211yescharacteristic, complemented
151#10622453C2211yescharacteristic, complemented
152#10622453C2211yescharacteristic, complemented
153#10622450C2211yescharacteristic
154#10622450C2211yescharacteristic
155#10622432C2211yescharacteristic, complemented
156#10622431C2211yescharacteristic, complemented
157#10622431C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic
159#10622423C2211yescharacteristic
160#10622421C2211yescharacteristic, complemented
161#10622421C2211yescharacteristic, complemented
162#10622419C2211yescharacteristic, complemented
163#10622419C2211yescharacteristic, complemented
164#10622415C2211yescharacteristic
165#10622415C2211yescharacteristic
166#10622415C2211yescharacteristic
167#10622415C2211yescharacteristic
168#10622415C2211yescharacteristic
169#10622415C2211yescharacteristic
170#10622413C2211yescharacteristic, complemented
171#10622413C2211yescharacteristic, complemented
172#10622411C2211yescharacteristic, complemented
173#10622410C2211yescharacteristic, complemented
174#10622410C2211yescharacteristic, complemented
175#10622410C2211yescharacteristic, complemented
176#10622410C2211yescharacteristic, complemented
177#10622406C2211yescharacteristic, complemented
178#10622406C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic, complemented
180#10622396C2211yescharacteristic
181#10622394C2211yescharacteristic
182#10622383C2211yescharacteristic
183#10622383C2211yescharacteristic
184#10622381C2211yescharacteristic, complemented
185#10622381C2211yescharacteristic, complemented
186#10622380C2211yescharacteristic, complemented
187#10622352C2211yescharacteristic, complemented
188#10622351C2211yescharacteristic, complemented
189#10622347C2211yescharacteristic
190#10622346C2211yescharacteristic
191#10622339C2211yescharacteristic
192#10622339C2211yescharacteristic
193#10622333C2211yescharacteristic, complemented
194#10622333C2211yescharacteristic, complemented
195#10622328C2211yescharacteristic, complemented
196#10622327C2211yescharacteristic, complemented
197#10622322C2211yescharacteristic, complemented
198#10622320C2211yescharacteristic
199#10622309C2211yescharacteristic, complemented
200#10622303C2211yescharacteristic, complemented
201C4×#4313C2211yescharacteristic
202#10622294C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#41×D11—42no—
206#41×D11—42no—
207C2×#4343C2311yescharacteristic
208C2×#4343C2311yescharacteristic
209C2×Q8×D11—21no—
210C2×Q8×D11—21no—
211C2×Q8×D11—42no—
212C2×Q8×D11—42no—
213C2×Q8×D11C2311yescharacteristic
214C2×Q8×D11C2311yescharacteristic
215C2×Q8×D11C2311yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×#4341—21no—
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×D4×D11—21no—
222C2×D4×D11C2311yescharacteristic
223C2×#4339—21no—
224C2×#4339C2311yescharacteristic
225C22×C4×D11—21no—
226C22×C4×D11—21no—
227C22×C4×D11C2311yescharacteristic
228C22×Dic22—21no—
229C22×Dic22C2311yescharacteristic
230C2×C11×Q16C2311yescharacteristic
231C2×C11×Q16C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×SD16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×D8C2311yescharacteristic
238C11×C4⋊Q8C2311yescharacteristic
239C11×C4⋊Q8C2311yescharacteristic
240C11×C4⋊Q8C2311yescharacteristic
241C11×#126—21no—
242C11×#124—21no—
243C11×#124C2311yescharacteristic
244C11×#124C2311yescharacteristic
245C11×#124C2311yescharacteristic
246C11×#123—21no—
247C11×#123—21no—
248C11×#123—21no—
249C11×C22⋊Q8—21no—
250C11×C22⋊Q8—21no—
251C11×C22⋊Q8—21no—
252C11×C22⋊Q8C2311yescharacteristic
253C11×#121C2311yescharacteristic
254C4×Q8×C11C2311yescharacteristic
255C4×D4×C11C2311yescharacteristic
256C11×#117C2311yescharacteristic
257#67000—21no—
258#67000C2311yescharacteristic
259#67000C2311yescharacteristic
260#66999—21no—
261#66999—21no—
262#66999—21no—
263#66999—21no—
264#66999C2311yescharacteristic
265Q8×Dic11—21no—
266Q8×Dic11C2311yescharacteristic
267#66997C2311yescharacteristic
268#66997C2311yescharacteristic
269#66997C2311yescharacteristic
270#66997C2311yescharacteristic
271#66997C2311yescharacteristic
272C2×#4326C2311yescharacteristic
273C2×#4326C2311yescharacteristic
274C2×#4326C2311yescharacteristic
275C2×#4326C2311yescharacteristic
276C2×#4326C2311yescharacteristic
277C2×#4326C2311yescharacteristic
278C2×#4325C2311yescharacteristic
279C2×#4325C2311yescharacteristic
280C2×#4325C2311yescharacteristic
281C2×#4325C2311yescharacteristic
282#66993C2311yescharacteristic
283#66992—21no—
284#66991—21no—
285#66991C2311yescharacteristic
286#66990—21no—
287#66989C2311yescharacteristic
288#66989C2311yescharacteristic
289#66988—21no—
290#66988—21no—
291D4×Dic11—21no—
292D4×Dic11C2311yescharacteristic
293C2×#4324C2311yescharacteristic
294C2×#4324C2311yescharacteristic
295C2×#4324C2311yescharacteristic
296C2×#4324C2311yescharacteristic
297C2×#4323C2311yescharacteristic
298C2×#4323C2311yescharacteristic
299#66983—21no—
300#66983C2311yescharacteristic
301#66982—21no—
302#66982—21no—
303#66982—21no—
304C4×C22⋊D11—21no—
305#66979C2311yescharacteristic
306#66977—21no—
307#66977—21no—
308#66977C2311yescharacteristic
309C2×C4×Dic11—21no—
310#66971—42no—
311#66971—42no—
312#66971—42no—
313#66968—42no—
314#66968—42no—
315#66968—42no—
316#66967—42no—
317#66964—42no—
318C2×Dic44C2311yescharacteristic
319C2×Dic44C2311yescharacteristic
320C2×Dic44C2311yescharacteristic
321C2×D88C2311yescharacteristic
322C2×#4314C2311yescharacteristic
323C2×#4314C2311yescharacteristic
324C2×#4314C2311yescharacteristic
325C2×#4314C2311yescharacteristic
326C2×#4313C2311yescharacteristic
327C2×#4313C2311yescharacteristic
328C2×#4313C2311yescharacteristic
329C2×#4313C2311yescharacteristic
330#66951—21no—
331#66951—21no—
332#66951—21no—
333#66950—21no—
334#66950—21no—
335#66950—21no—
336#66950C2311yescharacteristic
337#66949—21no—
338#66949—21no—
339#66949—21no—
340#66949—21no—
341#66949—21no—
342#66948C2311yescharacteristic
343#66947—21no—
344#66947—21no—
345#66947—21no—
346#66947—21no—
347#66947—21no—
348#66947—21no—
349#66946—21no—
350#66946—21no—
351#66946C2311yescharacteristic
352#66945—21no—
353#66945D411yescharacteristic
354#66945D411yescharacteristic
355#66945C2311yescharacteristic
356#66945C2311yescharacteristic
357C4⋊C4×D11—21no—
358C4⋊C4×D11—21no—
359C4⋊C4×D11—21no—
360C4⋊C4×D11—21no—
361C4⋊C4×D11D411yescharacteristic
362C4⋊C4×D11D411yescharacteristic
363#66943—21no—
364#66943C2311yescharacteristic
365#66943C2311yescharacteristic
366#66942—21no—
367#66942—21no—
368#66941—21no—
369#66941—21no—
370#66941—21no—
371#66941—21no—
372#66940—21no—
373#66940C2311yescharacteristic
374#66939—21no—
375#66939—21no—
376#66939—21no—
377#66939—21no—
378#66938—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938—21no—
383#66938—21no—
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66936—21no—
388#66936—21no—
389#66936—21no—
390#66936—21no—
391#66936—21no—
392#66936—21no—
393#66936—21no—
394#66936—21no—
395#66935—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4—21no—
398(C22⋊D11)⋊C4—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401C22⋊C4×D11—21no—
402C22⋊C4×D11—21no—
403C22⋊C4×D11—21no—
404C22⋊C4×D11—21no—
405C22⋊C4×D11D411yescharacteristic
406C22⋊C4×D11D411yescharacteristic
407#66932—21no—
408#66932—21no—
409#66932—21no—
410#66931—21no—
411#66931—21no—
412#66931—21no—
413#66931—21no—
414#66931—21no—
415#66930—21no—
416#66930D411yescharacteristic
417#66930D411yescharacteristic
418#66929—21no—
419#66928C2311yescharacteristic
420#66928C2311yescharacteristic
421#66928C2311yescharacteristic
422C4×D44—21no—
423C4×D44C2311yescharacteristic
424#66925C2311yescharacteristic
425#66925C2311yescharacteristic
426C42×D11—21no—
427C42×D11C2311yescharacteristic
428C42×D11C2311yescharacteristic
429#66923—21no—
430#66922C2311yescharacteristic
431#66922C2311yescharacteristic
432#66922C2311yescharacteristic
433C4×Dic22C2311yescharacteristic
434C11×C4⋊C8C2311yescharacteristic
435C11×C4⋊C8C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#103C2311yescharacteristic
441C11×#103C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×#97C2311yescharacteristic
447C4×C8×C11C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66899C2311yescharacteristic
451#66899C2311yescharacteristic
452#66899C2311yescharacteristic
453#66899C2311yescharacteristic
454#66896C2311yescharacteristic
455#66896C2311yescharacteristic
456C22⋊(C11⋊C8)C2311yescharacteristic
457C22⋊(C11⋊C8)C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464#66880C2311yescharacteristic
465#66880C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66880C2311yescharacteristic
469#66880C2311yescharacteristic
470#66879C2311yescharacteristic
471#66879C2311yescharacteristic
472Dic11⋊C8C2311yescharacteristic
473Dic11⋊C8C2311yescharacteristic
474Dic11⋊C8C2311yescharacteristic
475Dic11⋊C8C2311yescharacteristic
476C8×Dic11C2311yescharacteristic
477C8×Dic11C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66874C2311yescharacteristic
483#66874C2311yescharacteristic
484#66873C2311yescharacteristic
485#66873C2311yescharacteristic
486C4⋊(C11⋊C8)C2311yescharacteristic
487C4⋊(C11⋊C8)C2311yescharacteristic
488#66867C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#60807—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11C2×D411yescharacteristic
493C11×#41—41no—
494C11×#41—41no—
495C2×Q8×C11—21no—
496C2×Q8×C11—21no—
497C2×Q8×C11—41no—
498C2×Q8×C11—41no—
499C2×Q8×C11C2411yescharacteristic
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11C2411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11C2411yescharacteristic
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C22×Dic11—21no—
520C22×Dic11—21no—
521C22×Dic11—21no—
522C22×Dic11—21no—
523C22×Dic11C2×D411yescharacteristic
524#4343—22no—
525#4343—22no—
526#4343—41no—
527#4343—41no—
528Q8×D11—22no—
529Q8×D11—22no—
530Q8×D11—22no—
531Q8×D11—22no—
532Q8×D11—22no—
533Q8×D11—22no—
534Q8×D11—41no—
535Q8×D11—41no—
536Q8×D11—41no—
537Q8×D11—41no—
538Q8×D11—44no—
539Q8×D11—44no—
540#4341—22no—
541#4341—22no—
542#4341—41no—
543#4341—41no—
544#4341—44no—
545D4×D11—22no—
546D4×D11—22no—
547D4×D11—44no—
548#4339—41no—
549#4339—41no—
550#4339—44no—
551C2×D44—21no—
552C2×D44—21no—
553C2×D44—21no—
554C2×D44C2411yescharacteristic
555C2×D44C2411yescharacteristic
556C2×C4×D11—22no—
557C2×C4×D11—22no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×C4×D11—21no—
567C2×C4×D11—21no—
568C2×C4×D11—44no—
569C2×C4×D11—44no—
570C2×C4×D11C2×D411yescharacteristic
571C2×C4×D11C2×D411yescharacteristic
572C2×C4×D11C2×D411yescharacteristic
573C2×C4×D11C2×D411yescharacteristic
574C2×C4×D11C2×D411yescharacteristic
575C2×C4×D11C2×D411yescharacteristic
576C2×C4×D11C2411yescharacteristic
577C2×C4×D11C2411yescharacteristic
578C2×Dic22—21no—
579C2×Dic22—21no—
580C2×Dic22—21no—
581C2×Dic22—21no—
582C2×Dic22—21no—
583C2×Dic22—21no—
584C2×Dic22—21no—
585C2×Dic22—41no—
586C2×Dic22—41no—
587C2×Dic22—44no—
588C2×Dic22C2411yescharacteristic
589C2×Dic22C2411yescharacteristic
590C2×Dic22C2411yescharacteristic
591C2×Dic22C2411yescharacteristic
592C11×Q16—41no—
593C11×Q16—41no—
594C11×Q16—41no—
595C11×SD16—41no—
596C11×SD16—41no—
597C11×SD16—41no—
598C11×SD16—41no—
599C11×D8—41no—
600C2×C8×C11C2411yescharacteristic
601C2×C8×C11C2411yescharacteristic
602C2×C8×C11C2411yescharacteristic
603C2×C8×C11C2411yescharacteristic
604C11×C4⋊C4—21no—
605C11×C4⋊C4—21no—
606C11×C4⋊C4—21no—
607C11×C4⋊C4—21no—
608C11×C4⋊C4—21no—
609C11×C4⋊C4—21no—
610C11×C4⋊C4—21no—
611C11×C4⋊C4C2×D411yescharacteristic
612C11×C4⋊C4C2×D411yescharacteristic
613C11×C4⋊C4C2411yescharacteristic
614C11×C4⋊C4C2411yescharacteristic
615C11×C22⋊C4—21no—
616C11×C22⋊C4—21no—
617C11×C22⋊C4—21no—
618C11×C22⋊C4—21no—
619C11×C22⋊C4—21no—
620C11×C22⋊C4—21no—
621C11×C22⋊C4—21no—
622C11×C22⋊C4—21no—
623C11×C22⋊C4—21no—
624C11×C22⋊C4C2×D411yescharacteristic
625C11×C22⋊C4C2×D411yescharacteristic
626C42×C11—21no—
627C42×C11C2411yescharacteristic
628C42×C11C2411yescharacteristic
629C22⋊Dic11—21no—
630C22⋊Dic11—21no—
631C22⋊Dic11—21no—
632C22⋊Dic11—21no—
633C22⋊Dic11—21no—
634C22⋊Dic11—21no—
635C22⋊Dic11—21no—
636C22⋊Dic11C2×D411yescharacteristic
637C22⋊Dic11C2×D411yescharacteristic
638#4326—41no—
639#4326—41no—
640#4326—41no—
641#4326—41no—
642#4326—41no—
643#4326—41no—
644#4325—41no—
645#4325—41no—
646#4325—41no—
647#4325—41no—
648#4324—41no—
649#4324—41no—
650#4324—41no—
651#4324—41no—
652#4323—41no—
653#4323—41no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
673(C2×D11)⋊C4C2×D411yescharacteristic
674(C2×D11)⋊C4C2×D411yescharacteristic
675(C2×D11)⋊C4C2×D411yescharacteristic
676C4⋊Dic11—21no—
677C4⋊Dic11—21no—
678C4⋊Dic11—21no—
679C4⋊Dic11—21no—
680C4⋊Dic11—21no—
681C4⋊Dic11—21no—
682C4⋊Dic11—21no—
683C4⋊Dic11—21no—
684C4⋊Dic11—21no—
685C4⋊Dic11C2×D411yescharacteristic
686C4⋊Dic11C2×D411yescharacteristic
687C4⋊Dic11C2411yescharacteristic
688C4⋊Dic11C2411yescharacteristic
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4—21no—
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4—21no—
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4C2×D411yescharacteristic
706Dic11⋊C4C2×D411yescharacteristic
707Dic11⋊C4C2×D411yescharacteristic
708Dic11⋊C4C2×D411yescharacteristic
709C4×Dic11—21no—
710C4×Dic11—21no—
711C4×Dic11—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11C2×D411yescharacteristic
715C4×Dic11C2×D411yescharacteristic
716C4×Dic11C2×D411yescharacteristic
717C4×Dic11C2×D411yescharacteristic
718C4×Dic11C2411yescharacteristic
719C4×Dic11C2411yescharacteristic
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724Dic44—41no—
725Dic44—41no—
726Dic44—41no—
727D88—41no—
728#4314—41no—
729#4314—41no—
730#4314—41no—
731#4314—41no—
732#4313—22no—
733#4313—22no—
734#4313—22no—
735#4313—22no—
736#3455—111no—
737C2×#536—111no—
738#3225—111no—
739#3225—111no—
740#3225—111no—
741#3225—111no—
742#3225—111no—
743#3225—111no—
744#3225—111no—
745#3225D1111yescharacteristic, complemented
746#3223—111no—
747#3223—111no—
748#3223—111no—
749#3223—111no—
750#3221—111no—
751#3221—111no—
752#3221—111no—
753#3221—111no—
754#3153—111no—
755#3152—111no—
756#3140—111no—
757#3139—111no—
758#3040—111no—
759#3040—111no—
760#3039—111no—
761#3039—111no—
762#3005—111no—
763#3005—111no—
764#3004—111no—
765#3004—111no—
766#2921—111no—
767C23×C11—21no—
768C23×C11—21no—
769C23×C11C22×D411yescharacteristic
770C22×D11—22no—
771C22×D11—21no—
772C22×D11—21no—
773C22×D11—41no—
774C22×D11—41no—
775C22×D11—42no—
776C22×D11—42no—
777C22×D11—42no—
778C22×D11C22×D411yescharacteristic
779C22×D11C22×D411yescharacteristic
780Q8×C11—21no—
781Q8×C11—21no—
782Q8×C11—21no—
783Q8×C11—21no—
784Q8×C11—21no—
785Q8×C11—21no—
786Q8×C11—21no—
787Q8×C11—21no—
788Q8×C11—42no—
789Q8×C11—81no—
790D4×C11—21no—
791D4×C11—21no—
792D4×C11—21no—
793D4×C11—21no—
794D4×C11—42no—
795D4×C11—81no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—42no—
805C2×C4×C11—42no—
806C2×C4×C11—81no—
807C2×C4×C11C22×D411yescharacteristic
808C2×C4×C11C22×D411yescharacteristic
809C2×C4×C11C22×D411yescharacteristic
810C2×C4×C11C22×D411yescharacteristic
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C2511yescharacteristic
813C22⋊D11—42no—
814C22⋊D11—42no—
815C22⋊D11—42no—
816C22⋊D11—42no—
817C22⋊D11—81no—
818C22⋊D11—81no—
819C22⋊D11—81no—
820C22⋊D11—81no—
821C2×Dic11—22no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—42no—
829C2×Dic11—42no—
830C2×Dic11—42no—
831C2×Dic11—81no—
832C2×Dic11C22×D411yescharacteristic
833C2×Dic11C22×D411yescharacteristic
834C2×Dic11C22×D411yescharacteristic
835C2×Dic11C22×D411yescharacteristic
836C2×Dic11C22×D411yescharacteristic
837C2×Dic11C22×D411yescharacteristic
838D44—21no—
839D44—21no—
840D44—21no—
841D44—21no—
842D44—42no—
843D44—42no—
844D44—81no—
845C4×D11—22no—
846C4×D11—21no—
847C4×D11—21no—
848C4×D11—22no—
849C4×D11—41no—
850C4×D11—41no—
851C4×D11—41no—
852C4×D11—41no—
853C4×D11—42no—
854C4×D11—42no—
855C4×D11—42no—
856C4×D11—42no—
857C4×D11—42no—
858C4×D11—42no—
859C4×D11—42no—
860C4×D11—42no—
861C4×D11—81no—
862C4×D11—81no—
863C4×D11H(5,𝔽2)12yes—
864C4×D11H(5,𝔽2)12yes—
865Dic22—21no—
866Dic22—21no—
867Dic22—21no—
868Dic22—21no—
869Dic22—21no—
870Dic22—21no—
871Dic22—21no—
872Dic22—21no—
873Dic22—42no—
874Dic22—42no—
875Dic22—42no—
876Dic22—42no—
877Dic22—42no—
878Dic22—42no—
879Dic22—81no—
880C8×C11—21no—
881C8×C11—21no—
882C8×C11—21no—
883C8×C11—21no—
884C11⋊C8—21no—
885C11⋊C8—21no—
886C11⋊C8—21no—
887C11⋊C8—21no—
888C22×#41—111no—
889C23×Q8—111no—
890C2×#137—111no—
891C2×#137—111no—
892C2×#137—111no—
893C2×#137—111no—
894C2×#137—111no—
895C2×#137—111no—
896C2×AGL(1,ℤ/8)—111no—
897C2×AGL(1,ℤ/8)—111no—
898#542—111no—
899#542—111no—
900#542—111no—
901#542C2×D1111yescharacteristic, complemented
902#541—111no—
903#541—111no—
904#540—111no—
905#540—111no—
906#539—221no—
907#539—221no—
908#538—221no—
909#538—221no—
910#536—111no—
911#536—111no—
912#536—111no—
913#536—111no—
914#536—111no—
915#536—111no—
916#536—111no—
917#536—221no—
918#536—221no—
919#536—221no—
920#536—221no—
921#536C2×D1111yescharacteristic
922#533—111no—
923#532—111no—
924C2×C4⋊Q8—111no—
925C2×C4⋊Q8—111no—
926#529—221no—
927#529—221no—
928#529—221no—
929#529—221no—
930C2×#124—111no—
931C2×#124—111no—
932#525—111no—
933#525—111no—
934C2×#123—221no—
935C2×#123—221no—
936C2×C22⋊Q8—221no—
937C2×C22⋊Q8—221no—
938C4×#41—111no—
939C4×#41—111no—
940C2×#117—111no—
941#497—111no—
942#497—111no—
943#497—111no—
944#497—111no—
945#497—111no—
946#497C2×D1111yescharacteristic, complemented
947#496—111no—
948#496—111no—
949#495—111no—
950#495—111no—
951#495—111no—
952#495C2×D1111yescharacteristic, complemented
953#494—111no—
954#494—111no—
955#492—111no—
956#492—111no—
957#491—111no—
958#491—111no—
959#491—111no—
960#491—111no—
961#489—111no—
962#489—111no—
963#489—111no—
964#489C2×D1111yescharacteristic, complemented
965#488—111no—
966#488—111no—
967#488—111no—
968#488—111no—
969#487—111no—
970#487—111no—
971#487—111no—
972#487C2×D1111yescharacteristic, complemented
973#464—111no—
974#464—111no—
975#464—111no—
976#464—111no—
977#464—111no—
978#464—111no—
979#464—111no—
980#464C2×D1111yescharacteristic, complemented
981#463—111no—
982#463—111no—
983#463—111no—
984#463—111no—
985#463—111no—
986#463—111no—
987#463—111no—
988#463C2×D1111yescharacteristic, complemented
989#462—111no—
990#462—111no—
991#462—111no—
992#462—111no—
993#462—111no—
994#462—111no—
995#462—111no—
996#462C2×D1111yescharacteristic, complemented
997#461—111no—
998#461—111no—
999#461—111no—
1000#461—111no—
1001#461—111no—
1002#461—111no—
1003#461—111no—
1004#461C2×D1111yescharacteristic, complemented
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452C2×D1111yescharacteristic
1013#451—111no—
1014#451—111no—
1015#451—111no—
1016#451—111no—
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451C2×D1111yescharacteristic, complemented
1021#449—111no—
1022#449—111no—
1023#449—111no—
1024#449—111no—
1025#449—111no—
1026#449—111no—
1027#449—111no—
1028#449C2×D1111yescharacteristic
1029#448—111no—
1030#448—111no—
1031#448—111no—
1032#448—111no—
1033#448—111no—
1034#448—111no—
1035#448—111no—
1036#448C2×D1111yescharacteristic, complemented
1037#433—111no—
1038#433—111no—
1039#433—111no—
1040#433—111no—
1041#433—111no—
1042#433—111no—
1043#433—111no—
1044#433C2×D1111yescharacteristic, complemented
1045#423—111no—
1046#423—111no—
1047#419—111no—
1048#419—111no—
1049#419—111no—
1050#419—111no—
1051#419—111no—
1052#419—111no—
1053#418—111no—
1054#418—111no—
1055#407—111no—
1056#407—111no—
1057C4×M16—111no—
1058C4×M16—111no—
1059C22×C11—21no—
1060C22×C11—21no—
1061C22×C11—21no—
1062C22×C11—41no—
1063C22×C11—41no—
1064C22×C11—41no—
1065C22×C11—41no—
1066C22×C11—41no—
1067C22×C11—41no—
1068C22×C11C23×D411yescharacteristic
1069C2×D11—21no—
1070C2×D11—21no—
1071C2×D11—21no—
1072C2×D11—21no—
1073C2×D11—21no—
1074C2×D11—44no—
1075C2×D11—41no—
1076C2×D11—41no—
1077C2×D11—41no—
1078C2×D11—41no—
1079C2×D11—41no—
1080C2×D11—41no—
1081C2×D11—84no—
1082C2×D11#53512yes—
1083C4×C11—21no—
1084C4×C11—21no—
1085C4×C11—21no—
1086C4×C11—21no—
1087C4×C11—21no—
1088C4×C11—41no—
1089C4×C11—41no—
1090C4×C11—41no—
1091C4×C11—41no—
1092C4×C11—41no—
1093C4×C11—41no—
1094C4×C11C2×H(5,𝔽2)11yescharacteristic
1095C4×C11C2×H(5,𝔽2)11yescharacteristic
1096Dic11—21no—
1097Dic11—21no—
1098Dic11—21no—
1099Dic11—21no—
1100Dic11—21no—
1101Dic11—41no—
1102Dic11—41no—
1103Dic11—41no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11#53512yes—
1108C2×#41—111no—
1109C2×#41—111no—
1110C2×#41—111no—
1111C2×#41—111no—
1112C2×#41—111no—
1113C2×#41—221no—
1114C2×#41—221no—
1115C2×#41—442no—
1116C2×#41—442no—
1117C2×#41C22×D1111yescharacteristic
1118C22×Q8—111no—
1119C22×Q8—111no—
1120C22×Q8—111no—
1121C22×Q8—111no—
1122C22×Q8—111no—
1123C22×Q8—111no—
1124C22×Q8—221no—
1125C22×Q8—221no—
1126C22×Q8—221no—
1127C22×Q8—442no—
1128C22×Q8—442no—
1129C22×Q8C22×D1111yescharacteristic
1130C22×D4—111no—
1131C22×D4—221no—
1132C23×C4—111no—
1133C23×C4—221no—
1134C23×C4—221no—
1135#137—442no—
1136#137—442no—
1137#137—442no—
1138#137—442no—
1139#137—442no—
1140#137—442no—
1141AGL(1,ℤ/8)—442no—
1142AGL(1,ℤ/8)—442no—
1143C2×Q16—111no—
1144C2×Q16—111no—
1145C2×Q16—111no—
1146C2×Q16—111no—
1147C2×Q16—111no—
1148C2×Q16—111no—
1149C2×Q16—111no—
1150C2×Q16—111no—
1151C2×Q16—111no—
1152C2×Q16C22×D1111yescharacteristic
1153C2×Q16C22×D1111yescharacteristic
1154C2×Q16C22×D1111yescharacteristic
1155C2×SD16—111no—
1156C2×SD16—111no—
1157C2×SD16—111no—
1158C2×SD16—111no—
1159C2×SD16—111no—
1160C2×SD16—111no—
1161C2×SD16—111no—
1162C2×SD16—111no—
1163C2×SD16—111no—
1164C2×SD16—111no—
1165C2×SD16—111no—
1166C2×SD16—111no—
1167C2×SD16C22×D1111yescharacteristic
1168C2×SD16C22×D1111yescharacteristic
1169C2×SD16C22×D1111yescharacteristic
1170C2×SD16C22×D1111yescharacteristic
1171C2×D8—111no—
1172C2×D8—111no—
1173C2×D8—111no—
1174C2×D8C22×D1111yescharacteristic
1175C2×M16—111no—
1176C2×M16—111no—
1177C2×M16—111no—
1178C2×M16—111no—
1179C4⋊Q8—111no—
1180C4⋊Q8—111no—
1181C4⋊Q8—111no—
1182C4⋊Q8—111no—
1183C4⋊Q8—111no—
1184C4⋊Q8—111no—
1185C4⋊Q8—111no—
1186C4⋊Q8—111no—
1187C4⋊Q8—221no—
1188C4⋊Q8—221no—
1189C4⋊Q8—221no—
1190C4⋊Q8—221no—
1191C4⋊Q8C22×D1111yescharacteristic
1192C4⋊Q8C22×D1111yescharacteristic
1193C4⋊Q8C22×D1111yescharacteristic
1194#127—111no—
1195#126—21no—
1196#126—221no—
1197#126—221no—
1198#126—221no—
1199#126—221no—
1200#126—221no—
1201#126—221no—
1202#126—221no—
1203#125—111no—
1204#125—111no—
1205#125—221no—
1206#125—221no—
1207#125—221no—
1208#125—221no—
1209#124—21no—
1210#124—111no—
1211#124—111no—
1212#124—111no—
1213#124—111no—
1214#124—111no—
1215#124—111no—
1216#124—111no—
1217#124—221no—
1218#124—221no—
1219#124—221no—
1220#124—221no—
1221#124—221no—
1222#124—221no—
1223#124—221no—
1224#124C22×D1111yescharacteristic
1225#124C22×D1111yescharacteristic
1226#124C22×D1111yescharacteristic
1227#123—21no—
1228#123—21no—
1229#123—21no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
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—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8—221no—
1277C22⋊Q8—221no—
1278C22⋊Q8C22×D1111yescharacteristic
1279#121—111no—
1280#121—111no—
1281#121—111no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121C22×D1111yescharacteristic
1289#120—221no—
1290#120—221no—
1291C4×Q8—111no—
1292C4×Q8—111no—
1293C4×Q8—111no—
1294C4×Q8—221no—
1295C4×Q8—221no—
1296C4×Q8C22×D1111yescharacteristic
1297C4×D4—111no—
1298C4×D4—111no—
1299C4×D4—111no—
1300C4×D4—221no—
1301C4×D4—221no—
1302C4×D4—221no—
1303C4×D4—221no—
1304C4×D4—221no—
1305C4×D4—221no—
1306C4×D4—221no—
1307C4×D4—221no—
1308C4×D4—221no—
1309C4×D4—221no—
1310C4×D4C22×D1111yescharacteristic
1311#117—111no—
1312#117—111no—
1313#117—111no—
1314#117—111no—
1315#117—111no—
1316#117—111no—
1317#117—111no—
1318#117—111no—
1319#117—111no—
1320#117—221no—
1321#117—221no—
1322#117C22×D1111yescharacteristic
1323C2×C4⋊C4—111no—
1324C2×C4⋊C4—111no—
1325C2×C4⋊C4—221no—
1326C2×C4⋊C4—221no—
1327C2×C4⋊C4—221no—
1328C2×C4⋊C4—221no—
1329C2×C22⋊C4—111no—
1330C2×C22⋊C4—111no—
1331C2×C22⋊C4—221no—
1332C2×C22⋊C4—221no—
1333C2×C22⋊C4—221no—
1334C2×C22⋊C4—221no—
1335C2×C42—111no—
1336C2×C42—111no—
1337C2×C42—221no—
1338C2×C42—221no—
1339C4⋊C8—111no—
1340C4⋊C8—111no—
1341C4⋊C8—111no—
1342C4⋊C8—111no—
1343C4⋊C8—111no—
1344C4⋊C8—111no—
1345C4⋊C8C22×D1111yescharacteristic
1346C4⋊C8C22×D1111yescharacteristic
1347#103—111no—
1348#103—111no—
1349#103—111no—
1350#103—111no—
1351#103—111no—
1352#103—111no—
1353#103—111no—
1354#103—111no—
1355#103—111no—
1356#103—111no—
1357#103—111no—
1358#103—111no—
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103C22×D1111yescharacteristic
1366#103C22×D1111yescharacteristic
1367#103C22×D1111yescharacteristic
1368#103C22×D1111yescharacteristic
1369#103C22×D1111yescharacteristic
1370#103C22×D1111yescharacteristic
1371#102—111no—
1372#102—111no—
1373#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102C22×D1111yescharacteristic
1378#102C22×D1111yescharacteristic
1379C22⋊C8—111no—
1380C22⋊C8—111no—
1381C22⋊C8—111no—
1382C22⋊C8—111no—
1383C22⋊C8—111no—
1384C22⋊C8—111no—
1385C22⋊C8C22×D1111yescharacteristic
1386C22⋊C8C22×D1111yescharacteristic
1387#97—111no—
1388#97—111no—
1389#97—111no—
1390#97C22×D1111yescharacteristic
1391C4×C8—111no—
1392C4×C8—111no—
1393C4×C8—111no—
1394C4×C8C22×D1111yescharacteristic
1395C2×C11—41no—
1396C2×C11—81no—
1397C2×C11—81no—
1398C2×C11C2×#53511yescharacteristic
1399C2×C11#358611yescharacteristic
1400C2×C11#358611yescharacteristic
1401D11—22no—
1402D11—41no—
1403D11—81no—
1404D11—81no—
1405C24—111no—
1406C24—221no—
1407#41—41no—
1408#41—41no—
1409#41—222no—
1410#41—222no—
1411#41—222no—
1412#41—222no—
1413#41—441no—
1414#41—441no—
1415#41—444no—
1416#41—441no—
1417#41—441no—
1418#41—444no—
1419#41—441no—
1420#41—441no—
1421C2×Q8—21no—
1422C2×Q8—21no—
1423C2×Q8—41no—
1424C2×Q8—41no—
1425C2×Q8—111no—
1426C2×Q8—111no—
1427C2×Q8—111no—
1428C2×Q8—111no—
1429C2×Q8—221no—
1430C2×Q8—221no—
1431C2×Q8—221no—
1432C2×Q8—221no—
1433C2×Q8—221no—
1434C2×Q8—222no—
1435C2×Q8—222no—
1436C2×Q8—222no—
1437C2×Q8—222no—
1438C2×Q8—222no—
1439C2×Q8—222no—
1440C2×Q8—221no—
1441C2×Q8—221no—
1442C2×Q8—441no—
1443C2×Q8—441no—
1444C2×Q8—444no—
1445C2×Q8—441no—
1446C2×Q8—441no—
1447C2×Q8—441no—
1448C2×Q8—441no—
1449C2×Q8—444no—
1450C2×Q8—444no—
1451C2×Q8C23×D1111yescharacteristic
1452C2×Q8C23×D1111yescharacteristic
1453C2×Q8C23×D1111yescharacteristic
1454C2×Q8C23×D1111yescharacteristic
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—111no—
1458C2×D4—111no—
1459C2×D4—221no—
1460C2×D4—221no—
1461C2×D4—221no—
1462C2×D4—222no—
1463C2×D4—222no—
1464C2×D4—221no—
1465C2×D4—221no—
1466C2×D4—221no—
1467C2×D4—221no—
1468C2×D4—221no—
1469C2×D4—221no—
1470C2×D4—221no—
1471C2×D4—221no—
1472C2×D4—444no—
1473C2×D4C23×D1111yescharacteristic
1474C2×D4C23×D1111yescharacteristic
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—21no—
1478C22×C4—111no—
1479C22×C4—111no—
1480C22×C4—111no—
1481C22×C4—111no—
1482C22×C4—111no—
1483C22×C4—111no—
1484C22×C4—111no—
1485C22×C4—111no—
1486C22×C4—111no—
1487C22×C4—222no—
1488C22×C4—222no—
1489C22×C4—221no—
1490C22×C4—221no—
1491C22×C4—221no—
1492C22×C4—221no—
1493C22×C4—221no—
1494C22×C4—221no—
1495C22×C4—221no—
1496C22×C4—221no—
1497C22×C4—221no—
1498C22×C4—221no—
1499C22×C4—221no—
1500C22×C4—221no—
1501C22×C4—221no—
1502C22×C4—221no—
1503C22×C4—444no—
1504C22×C4—444no—
1505C22×C4C23×D1111yescharacteristic
1506Q16—41no—
1507Q16—41no—
1508Q16—41no—
1509Q16—441no—
1510Q16—441no—
1511Q16—441no—
1512Q16—441no—
1513Q16—441no—
1514Q16—441no—
1515Q16—441no—
1516Q16—441no—
1517Q16—441no—
1518SD16—41no—
1519SD16—41no—
1520SD16—41no—
1521SD16—41no—
1522SD16—441no—
1523SD16—441no—
1524SD16—441no—
1525SD16—441no—
1526SD16—441no—
1527SD16—441no—
1528SD16—441no—
1529SD16—441no—
1530SD16—441no—
1531SD16—441no—
1532SD16—441no—
1533SD16—441no—
1534D8—41no—
1535D8—441no—
1536D8—441no—
1537D8—441no—
1538M16—222no—
1539M16—222no—
1540M16—222no—
1541M16—222no—
1542C2×C8—111no—
1543C2×C8—111no—
1544C2×C8—111no—
1545C2×C8—111no—
1546C2×C8C23×D1111yescharacteristic
1547C2×C8C23×D1111yescharacteristic
1548C2×C8C23×D1111yescharacteristic
1549C2×C8C23×D1111yescharacteristic
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—111no—
1558C4⋊C4—111no—
1559C4⋊C4—111no—
1560C4⋊C4—111no—
1561C4⋊C4—111no—
1562C4⋊C4—111no—
1563C4⋊C4—111no—
1564C4⋊C4—111no—
1565C4⋊C4—221no—
1566C4⋊C4—221no—
1567C4⋊C4—221no—
1568C4⋊C4—221no—
1569C4⋊C4—221no—
1570C4⋊C4—221no—
1571C4⋊C4—221no—
1572C4⋊C4—221no—
1573C4⋊C4—221no—
1574C4⋊C4—221no—
1575C4⋊C4—221no—
1576C4⋊C4—221no—
1577C4⋊C4—221no—
1578C4⋊C4—221no—
1579C4⋊C4—221no—
1580C4⋊C4—221no—
1581C4⋊C4—221no—
1582C4⋊C4—221no—
1583C4⋊C4—221no—
1584C4⋊C4—221no—
1585C4⋊C4—221no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4D4×D1111yescharacteristic
1591C4⋊C4D4×D1111yescharacteristic
1592C4⋊C4C23×D1111yescharacteristic
1593C4⋊C4C23×D1111yescharacteristic
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—111no—
1604C22⋊C4—111no—
1605C22⋊C4—111no—
1606C22⋊C4—111no—
1607C22⋊C4—111no—
1608C22⋊C4—111no—
1609C22⋊C4—221no—
1610C22⋊C4—221no—
1611C22⋊C4—221no—
1612C22⋊C4—221no—
1613C22⋊C4—221no—
1614C22⋊C4—221no—
1615C22⋊C4—221no—
1616C22⋊C4—221no—
1617C22⋊C4—221no—
1618C22⋊C4—221no—
1619C22⋊C4—221no—
1620C22⋊C4—221no—
1621C22⋊C4—221no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4D4×D1111yescharacteristic
1635C22⋊C4D4×D1111yescharacteristic
1636C42—21no—
1637C42—111no—
1638C42—111no—
1639C42—111no—
1640C42—111no—
1641C42—111no—
1642C42—111no—
1643C42—221no—
1644C42—221no—
1645C42—221no—
1646C42—221no—
1647C42—221no—
1648C42C23×D1111yescharacteristic
1649C42C23×D1111yescharacteristic
1650C11#6080711yescharacteristic, complemented, Sylow
1651C23—21no—
1652C23—21no—
1653C23—111no—
1654C23—111no—
1655C23—222no—
1656C23—221no—
1657C23—221no—
1658C23—441no—
1659C23—441no—
1660C23—442no—
1661C23—442no—
1662C23—442no—
1663C23C2×D4×D1111yescharacteristic
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—21no—
1671Q8—21no—
1672Q8—42no—
1673Q8—81no—
1674Q8—221no—
1675Q8—221no—
1676Q8—221no—
1677Q8—221no—
1678Q8—221no—
1679Q8—221no—
1680Q8—221no—
1681Q8—221no—
1682Q8—442no—
1683Q8—442no—
1684Q8—442no—
1685Q8—442no—
1686Q8—442no—
1687Q8—442no—
1688Q8—881no—
1689D4—21no—
1690D4—21no—
1691D4—21no—
1692D4—21no—
1693D4—42no—
1694D4—81no—
1695D4—221no—
1696D4—221no—
1697D4—221no—
1698D4—221no—
1699D4—442no—
1700D4—442no—
1701D4—442no—
1702D4—442no—
1703D4—442no—
1704D4—442no—
1705D4—881no—
1706D4—881no—
1707D4—881no—
1708D4—881no—
1709D4—881no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—42no—
1719C2×C4—42no—
1720C2×C4—81no—
1721C2×C4—111no—
1722C2×C4—112no—
1723C2×C4—112no—
1724C2×C4—111no—
1725C2×C4—111no—
1726C2×C4—111no—
1727C2×C4—111no—
1728C2×C4—111no—
1729C2×C4—222no—
1730C2×C4—222no—
1731C2×C4—222no—
1732C2×C4—221no—
1733C2×C4—221no—
1734C2×C4—221no—
1735C2×C4—221no—
1736C2×C4—221no—
1737C2×C4—221no—
1738C2×C4—221no—
1739C2×C4—221no—
1740C2×C4—441no—
1741C2×C4—441no—
1742C2×C4—441no—
1743C2×C4—441no—
1744C2×C4—442no—
1745C2×C4—442no—
1746C2×C4—442no—
1747C2×C4—442no—
1748C2×C4—442no—
1749C2×C4—442no—
1750C2×C4—442no—
1751C2×C4—442no—
1752C2×C4—442no—
1753C2×C4—442no—
1754C2×C4—442no—
1755C2×C4—881no—
1756C2×C4—881no—
1757C2×C4—881no—
1758C2×C4C2×D4×D1111yescharacteristic
1759C2×C4C2×D4×D1111yescharacteristic
1760C2×C4C2×D4×D1111yescharacteristic
1761C2×C4C2×D4×D1111yescharacteristic
1762C2×C4C2×D4×D1111yescharacteristic
1763C2×C4C24×D1111yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—221no—
1769C8—221no—
1770C8—221no—
1771C8—221no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—112no—
1782C22—221no—
1783C22—221no—
1784C22—221no—
1785C22—221no—
1786C22—221no—
1787C22—444no—
1788C22—441no—
1789C22—441no—
1790C22—441no—
1791C22—441no—
1792C22—441no—
1793C22—441no—
1794C22—884no—
1795C22C22×D4×D1111yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—112no—
1808C4—221no—
1809C4—221no—
1810C4—221no—
1811C4—221no—
1812C4—221no—
1813C4—441no—
1814C4—441no—
1815C4—441no—
1816C4—441no—
1817C4—441no—
1818C4—441no—
1819C4D11×H(5,𝔽2)11yescharacteristic
1820C4D11×H(5,𝔽2)11yescharacteristic
1821C2—41no—
1822C2—81no—
1823C2—81no—
1824C2—222no—
1825C2—441no—
1826C2—881no—
1827C2—881no—
1828C2D11×#53511yescharacteristic
1829C2#1308339811yescharacteristic
1830C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3225C2
socleC22×C11C23×D4
hypercenter#3225D11
hypocenterC11#60807
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #13082003C2semidirect
2. D11×#536C2semidirect
3. #13079728C2semidirect
4. #13079727C2semidirect
5. #13079726C2semidirect
6. #13079725C2semidirect
7. #13079720C2semidirect
8. #13079719C2semidirect
9. #13079718C2semidirect
10. #13079698C2semidirect
11. #13079697C2semidirect
12. #13079696C2semidirect
13. #13079695C2semidirect
14. #13079676C2semidirect
15. #13079675C2semidirect
16. #13079674C2semidirect
17. #13079673C2semidirect
18. #13079077C2semidirect
19. #13079072C2semidirect
20. #13079001C2semidirect
21. #13078993C2semidirect
22. #13078107C2semidirect
23. #13078105C2semidirect
24. #13078100C2semidirect
25. #13078098C2semidirect
26. #13077859C2semidirect
27. #13077854C2semidirect
28. #13077851C2semidirect
29. #13077847C2semidirect
30. #13077250C2semidirect
31. C11×#3225C2semidirect
34. C11×#542C22semidirect
46. #10623264C22semidirect
54. #10623213C22semidirect
74. #10623156C22semidirect
76. #10623150C22semidirect
78. #10623114C22semidirect
80. #10623093C22semidirect
82. #10623065C22semidirect
85. C11×#497C22semidirect
86. C11×#495C22semidirect
87. C11×#489C22semidirect
88. C11×#487C22semidirect
89. C11×#464C22semidirect
90. C11×#463C22semidirect
91. C11×#462C22semidirect
92. C11×#461C22semidirect
94. C11×#451C22semidirect
96. C11×#448C22semidirect
97. C11×#433C22semidirect
100. #10622841C22semidirect
101. #10622840C22semidirect
102. #10622803C22semidirect
104. #10622799C22semidirect
105. #10622799C22semidirect
106. #10622798C22semidirect
107. #10622795C22semidirect
108. #10622795C22semidirect
109. #10622794C22semidirect
110. #10622794C22semidirect
111. #10622789C22semidirect
112. #10622788C22semidirect
113. #10622788C22semidirect
116. #10622783C22semidirect
117. #10622783C22semidirect
118. #10622780C22semidirect
119. #10622779C22semidirect
120. #10622778C22semidirect
121. #10622775C22semidirect
122. #10622775C22semidirect
124. #10622767C22semidirect
125. #10622766C22semidirect
126. #10622706C22semidirect
127. #10622703C22semidirect
128. #10622702C22semidirect
129. #10622699C22semidirect
130. #10622696C22semidirect
131. #10622694C22semidirect
132. #10622673C22semidirect
133. #10622672C22semidirect
134. #10622672C22semidirect
135. #10622670C22semidirect
136. #10622668C22semidirect
137. #10622667C22semidirect
138. #10622663C22semidirect
140. #10622653C22semidirect
142. #10622644C22semidirect
143. #10622641C22semidirect
144. #10622632C22semidirect
145. #10622629C22semidirect
146. #10622613C22semidirect
147. #10622462C22semidirect
148. #10622458C22semidirect
149. #10622457C22semidirect
150. #10622454C22semidirect
151. #10622453C22semidirect
152. #10622453C22semidirect
155. #10622432C22semidirect
156. #10622431C22semidirect
157. #10622431C22semidirect
160. #10622421C22semidirect
161. #10622421C22semidirect
162. #10622419C22semidirect
163. #10622419C22semidirect
170. #10622413C22semidirect
171. #10622413C22semidirect
172. #10622411C22semidirect
173. #10622410C22semidirect
174. #10622410C22semidirect
175. #10622410C22semidirect
176. #10622410C22semidirect
177. #10622406C22semidirect
178. #10622406C22semidirect
179. #10622400C22semidirect
184. #10622381C22semidirect
185. #10622381C22semidirect
186. #10622380C22semidirect
187. #10622352C22semidirect
188. #10622351C22semidirect
193. #10622333C22semidirect
194. #10622333C22semidirect
195. #10622328C22semidirect
196. #10622327C22semidirect
197. #10622322C22semidirect
199. #10622309C22semidirect
200. #10622303C22semidirect
202. #10622294C22semidirect
745. #3225D11semidirect
901. #542C2×D11semidirect
946. #497C2×D11semidirect
952. #495C2×D11semidirect
964. #489C2×D11semidirect
972. #487C2×D11semidirect
980. #464C2×D11semidirect
988. #463C2×D11semidirect
996. #462C2×D11semidirect
1004. #461C2×D11semidirect
1020. #451C2×D11semidirect
1036. #448C2×D11semidirect
1044. #433C2×D11semidirect
1650. C11#60807semidirect

Maximal subgroups

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

subgroupindex
#130820032
D11×#5362
#130797282
#130797272
#130797262
#130797252
#130797202
#130797192
#130797182
#130796982
#130796972
#130796962
#130796952
#130796762
#130796752
#130796742
#130796732
#130790772
#130790722
#130790012
#130789932
#130781072
#130781052
#130781002
#130780982
#130778592
#130778542
#130778512
#130778472
#130772502
C11×#32252
#6080711