Finite Group Databasebeta

← #15647532

Subgroups — #15647532

Order 2816.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082991C211yesmaximal, characteristic, complemented
2#13082728C211yesmaximal, characteristic, complemented
3#13081682C211yesmaximal, characteristic, complemented
4#13081660C211yesmaximal, characteristic, complemented
5#13081345C211yesmaximal, characteristic, complemented
6#13080771C211yesmaximal, characteristic, complemented
7#13080754C211yesmaximal, characteristic, complemented
8#13080739C211yesmaximal, characteristic, complemented
9#13080591C211yesmaximal, characteristic, complemented
10#13080563C211yesmaximal, characteristic, complemented
11#13080450C211yesmaximal, characteristic, complemented
12#13080375C211yesmaximal, characteristic, complemented
13#13080318C211yesmaximal, characteristic, complemented
14#13080203C211yesmaximal, characteristic, complemented
15#13080166C211yesmaximal, characteristic, complemented
16#13080151C211yesmaximal, characteristic, complemented
17#13080113C211yesmaximal, characteristic, complemented
18#13080079C211yesmaximal, characteristic, complemented
19#13080033C211yesmaximal, characteristic, complemented
20#13079941C211yesmaximal, characteristic, complemented
21#13079711C211yesmaximal, characteristic, complemented
22#13079669C211yesmaximal, characteristic, complemented
23#13079656C211yesmaximal, characteristic, complemented
24#13078891C211yesmaximal, characteristic, complemented
25#13078851C211yesmaximal, characteristic, complemented
26#13078765C211yesmaximal, characteristic, complemented
27#13078158C211yesmaximal, characteristic, complemented
28#13078135C211yesmaximal, characteristic, complemented
29#13078074C211yesmaximal, characteristic, complemented
30#13077754C211yesmaximal, characteristic, complemented
31C11×#3377C211yesmaximal, characteristic, complemented
32C11×#557C2211yescharacteristic, complemented
33C11×#556C2211yescharacteristic
34C2×#66972C2211yescharacteristic, complemented
35C2×#66972C2211yescharacteristic, complemented
36C2×#66972C2211yescharacteristic, complemented
37C2×#66971C2211yescharacteristic, complemented
38C2×#66967C2211yescharacteristic
39C2×SD16×D11C2211yescharacteristic
40#10623265—21no—
41#10623265C2211yescharacteristic, complemented
42#10623264—21no—
43#10623264C2211yescharacteristic, complemented
44#10623257C2211yescharacteristic
45#10623256C2211yescharacteristic
46#10623242—21no—
47#10623242—21no—
48#10623235—21no—
49#10623235—21no—
50#10623229—21no—
51#10623229C2211yescharacteristic, complemented
52#10623226—21no—
53#10623226C2211yescharacteristic
54#10623225—21no—
55#10623225C2211yescharacteristic, complemented
56#10623222—21no—
57#10623222C2211yescharacteristic, complemented
58#10623207C2211yescharacteristic
59#10623207C2211yescharacteristic
60#10623205C2211yescharacteristic
61#10623205C2211yescharacteristic
62#10623161—21no—
63#10623160—21no—
64#10623116—21no—
65#10623116C2211yescharacteristic, complemented
66#10623113C2211yescharacteristic
67#10623113C2211yescharacteristic
68#10623111—21no—
69#10623111C2211yescharacteristic
70#10623108C2211yescharacteristic
71#10623108C2211yescharacteristic
72#10623108C2211yescharacteristic
73#10623108C2211yescharacteristic, complemented
74#10623107C2211yescharacteristic
75#10623107C2211yescharacteristic, complemented
76#10623105C2211yescharacteristic, complemented
77C4×#4343C2211yescharacteristic, complemented
78#10623103C2211yescharacteristic, complemented
79D4×D44C2211yescharacteristic
80#10623079C2211yescharacteristic
81#10623061—21no—
82#10623056—21no—
83C11×#491C2211yescharacteristic, complemented
84C11×#489C2211yescharacteristic
85C11×#488C2211yescharacteristic
86C11×#479C2211yescharacteristic, complemented
87C11×#478C2211yescharacteristic
88C11×#477C2211yescharacteristic, complemented
89C11×#464C2211yescharacteristic
90C11×#464C2211yescharacteristic
91C11×#462C2211yescharacteristic, complemented
92C11×#446C2211yescharacteristic, complemented
93C11×#441C2211yescharacteristic, complemented
94C11×#440C2211yescharacteristic
95C4×C11×Q16C2211yescharacteristic, complemented
96#10622800C2211yescharacteristic, complemented
97#10622799C2211yescharacteristic, complemented
98#10622798C2211yescharacteristic, complemented
99#10622798C2211yescharacteristic, complemented
100#10622785C2211yescharacteristic
101#10622776C2211yescharacteristic
102#10622701C2211yescharacteristic, complemented
103#10622700C2211yescharacteristic, complemented
104#10622699C2211yescharacteristic, complemented
105#10622696C2211yescharacteristic, complemented
106#10622680C2211yescharacteristic
107#10622680C2211yescharacteristic, complemented
108#10622679C2211yescharacteristic, complemented
109#10622679C2211yescharacteristic, complemented
110#10622672C2211yescharacteristic
111#10622671C2211yescharacteristic
112#10622670C2211yescharacteristic
113#10622667C2211yescharacteristic
114#10622643C2211yescharacteristic, complemented
115#10622641C2211yescharacteristic, complemented
116#10622640C2211yescharacteristic
117#10622640C2211yescharacteristic, complemented
118#10622640C2211yescharacteristic, complemented
119#10622640C2211yescharacteristic, complemented
120#10622639C2211yescharacteristic, complemented
121#10622639C2211yescharacteristic, complemented
122C4×#4325C2211yescharacteristic, complemented
123C4×#4325C2211yescharacteristic, complemented
124#10622637C2211yescharacteristic, complemented
125#10622629C2211yescharacteristic
126#10622627C2211yescharacteristic
127#10622503C2211yescharacteristic, complemented
128#10622499C2211yescharacteristic
129#10622498C2211yescharacteristic
130#10622498C2211yescharacteristic, complemented
131#10622496C2211yescharacteristic
132#10622496C2211yescharacteristic
133#10622496C2211yescharacteristic, complemented
134#10622488C2211yescharacteristic, complemented
135#10622483C2211yescharacteristic, complemented
136#10622478C2211yescharacteristic
137#10622477C2211yescharacteristic, complemented
138#10622476C2211yescharacteristic
139#10622461C2211yescharacteristic, complemented
140#10622457C2211yescharacteristic, complemented
141#10622457C2211yescharacteristic, complemented
142#10622456C2211yescharacteristic
143#10622456C2211yescharacteristic, complemented
144#10622456C2211yescharacteristic, complemented
145#10622452C2211yescharacteristic, complemented
146#10622452C2211yescharacteristic, complemented
147#10622449C2211yescharacteristic
148#10622449C2211yescharacteristic, complemented
149#10622447C2211yescharacteristic, complemented
150D11×C4⋊C8C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622432C2211yescharacteristic, complemented
153#10622432C2211yescharacteristic, complemented
154#10622432C2211yescharacteristic, complemented
155#10622428C2211yescharacteristic, complemented
156#10622426C2211yescharacteristic, complemented
157#10622425C2211yescharacteristic, complemented
158#10622425C2211yescharacteristic, complemented
159#10622424C2211yescharacteristic
160#10622424C2211yescharacteristic, complemented
161#10622424C2211yescharacteristic, complemented
162#10622424C2211yescharacteristic, complemented
163#10622424C2211yescharacteristic, complemented
164#10622424C2211yescharacteristic, complemented
165#10622424C2211yescharacteristic, complemented
166#10622423C2211yescharacteristic, complemented
167#10622423C2211yescharacteristic, complemented
168#10622423C2211yescharacteristic, complemented
169#10622420C2211yescharacteristic, complemented
170#10622419C2211yescharacteristic
171#10622418C2211yescharacteristic, complemented
172#10622417C2211yescharacteristic, complemented
173#10622417C2211yescharacteristic, complemented
174#10622417C2211yescharacteristic, complemented
175#10622416C2211yescharacteristic, complemented
176#10622411C2211yescharacteristic, complemented
177#10622411C2211yescharacteristic, complemented
178#10622404C2211yescharacteristic, complemented
179#10622399C2211yescharacteristic
180#10622399C2211yescharacteristic
181#10622392C2211yescharacteristic
182#10622391C2211yescharacteristic
183#10622389C2211yescharacteristic
184#10622388C2211yescharacteristic
185#10622386C2211yescharacteristic
186#10622386C2211yescharacteristic
187#10622386C2211yescharacteristic
188#10622383C2211yescharacteristic
189D11×#102C2211yescharacteristic
190#10622375C2211yescharacteristic
191#10622325C2211yescharacteristic
192#10622325C2211yescharacteristic, complemented
193#10622324C2211yescharacteristic, complemented
194#10622324C2211yescharacteristic, complemented
195#10622322C2211yescharacteristic, complemented
196#10622319C2211yescharacteristic
197#10622319C2211yescharacteristic, complemented
198#10622318C2211yescharacteristic, complemented
199#10622308C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic, complemented
203C2×#4343—21no—
204C2×#4343C2311yescharacteristic
205C2×#4343C2311yescharacteristic
206C2×#4343C2311yescharacteristic
207C2×#4343C2311yescharacteristic
208C2×#4343C2311yescharacteristic
209C2×#4343C2311yescharacteristic
210C2×Q8×D11C2311yescharacteristic
211C2×D4×D11C2311yescharacteristic
212C2×D4×D11C2311yescharacteristic
213C2×#4339—21no—
214C22×D44—21no—
215C2×C11×Q16C2311yescharacteristic
216C2×C11×Q16C2311yescharacteristic
217C2×C11×SD16C2311yescharacteristic
218C11×C4⋊Q8—21no—
219C11×C4⋊Q8C2311yescharacteristic
220C11×C4⋊Q8C2311yescharacteristic
221C11×#126—21no—
222C11×#126—21no—
223C11×#125—21no—
224C11×#125—21no—
225C11×#125C2311yescharacteristic
226C11×#125C2311yescharacteristic
227C11×#124C2311yescharacteristic
228C11×#124C2311yescharacteristic
229C11×C22⋊Q8—21no—
230C4×Q8×C11—21no—
231C4×Q8×C11C2311yescharacteristic
232C4×Q8×C11C2311yescharacteristic
233C4×Q8×C11C2311yescharacteristic
234C4×Q8×C11C2311yescharacteristic
235C4×Q8×C11C2311yescharacteristic
236C4×Q8×C11C2311yescharacteristic
237C4×D4×C11C2311yescharacteristic
238C11×#117—21no—
239#67000—21no—
240#67000—21no—
241#67000—21no—
242#67000—21no—
243#67000D411yescharacteristic
244#67000C2311yescharacteristic
245#67000C2311yescharacteristic
246#66999—21no—
247#66999D411yescharacteristic
248#66999C2311yescharacteristic
249#66999C2311yescharacteristic
250Q8×Dic11C2311yescharacteristic
251C2×#4326C2311yescharacteristic
252C2×#4326C2311yescharacteristic
253C2×#4325C2311yescharacteristic
254C2×#4325C2311yescharacteristic
255C2×#4325C2311yescharacteristic
256C2×#4325C2311yescharacteristic
257C2×#4325C2311yescharacteristic
258C2×#4325C2311yescharacteristic
259C2×#4325C2311yescharacteristic
260#66993C2311yescharacteristic
261#66991C2311yescharacteristic
262C2×#4324C2311yescharacteristic
263C2×#4323C2311yescharacteristic
264C2×#4323C2311yescharacteristic
265#66983—21no—
266C4×C22⋊D11—21no—
267#66972—42no—
268#66972—42no—
269#66972—42no—
270#66971—42no—
271#66967—42no—
272SD16×D11—42no—
273C2×D88C2311yescharacteristic
274C2×D88C2311yescharacteristic
275C2×D88C2311yescharacteristic
276C2×D88C2311yescharacteristic
277C2×D88C2311yescharacteristic
278C2×D88C2311yescharacteristic
279C2×#4314C2311yescharacteristic
280C2×#4314C2311yescharacteristic
281C2×#4314C2311yescharacteristic
282C2×#4313C2311yescharacteristic
283C2×#4313C2311yescharacteristic
284C2×C8×D11C2311yescharacteristic
285C2×C8×D11C2311yescharacteristic
286C2×C8×D11C2311yescharacteristic
287C2×C8×D11C2311yescharacteristic
288#66951—21no—
289#66951—21no—
290#66951—21no—
291#66951—21no—
292#66951D411yescharacteristic
293#66951D411yescharacteristic
294#66950—21no—
295#66950—21no—
296#66950C2311yescharacteristic
297#66950C2311yescharacteristic
298#66949—21no—
299#66949—21no—
300#66948—21no—
301#66948—21no—
302#66948—21no—
303#66948—21no—
304#66948—21no—
305#66948—21no—
306#66948—21no—
307#66948—21no—
308#66948—21no—
309#66948—21no—
310#66948—21no—
311#66948—21no—
312#66948—21no—
313#66948—21no—
314#66948—21no—
315#66948—21no—
316#66948—21no—
317#66948—21no—
318#66948D411yescharacteristic
319#66948C2311yescharacteristic
320#66948C2311yescharacteristic
321#66948C2311yescharacteristic
322#66948C2311yescharacteristic
323#66948C2311yescharacteristic
324#66948C2311yescharacteristic
325#66948C2311yescharacteristic
326#66947—21no—
327#66947—21no—
328#66947—21no—
329#66947—21no—
330#66947—21no—
331#66947—21no—
332#66947—21no—
333#66947—21no—
334#66947—21no—
335#66947—21no—
336#66947—21no—
337#66947—21no—
338#66947D411yescharacteristic
339#66947D411yescharacteristic
340#66946—21no—
341#66946—21no—
342#66946—21no—
343#66946—21no—
344#66946—21no—
345#66946—21no—
346#66946—21no—
347#66946C2311yescharacteristic
348#66946C2311yescharacteristic
349#66945—21no—
350#66945—21no—
351#66945—21no—
352#66945—21no—
353#66945—21no—
354#66945C2311yescharacteristic
355#66945C2311yescharacteristic
356C4⋊C4×D11—21no—
357C4⋊C4×D11—21no—
358C4⋊C4×D11C2311yescharacteristic
359#66943—21no—
360#66943D411yescharacteristic
361#66941C2311yescharacteristic
362#66940—21no—
363#66940C2311yescharacteristic
364#66938—21no—
365#66937—21no—
366#66937—21no—
367#66937—21no—
368#66937—21no—
369#66937—21no—
370#66937—21no—
371#66937—21no—
372#66936—21no—
373#66936—21no—
374#66935—21no—
375#66935—21no—
376#66935—21no—
377#66935—21no—
378#66935—21no—
379#66935—21no—
380#66935—21no—
381#66935—21no—
382C22⋊C4×D11—21no—
383C22⋊C4×D11—21no—
384#66929—21no—
385#66929—21no—
386#66928—21no—
387#66928—21no—
388#66928—21no—
389#66928—21no—
390#66928C2311yescharacteristic
391#66928C2311yescharacteristic
392#66927—21no—
393#66927—21no—
394#66927—21no—
395#66927C2311yescharacteristic
396#66927C2311yescharacteristic
397#66927C2311yescharacteristic
398#66927C2311yescharacteristic
399C4×D44—21no—
400C4×D44—21no—
401C4×D44—21no—
402C4×D44—21no—
403C4×D44—21no—
404C4×D44—21no—
405C4×D44—21no—
406C4×D44C2311yescharacteristic
407C4×D44C2311yescharacteristic
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410C4×D44C2311yescharacteristic
411C4×D44C2311yescharacteristic
412C4×D44C2311yescharacteristic
413C4×D44C2311yescharacteristic
414#66925—21no—
415#66925—21no—
416#66925C2311yescharacteristic
417#66925C2311yescharacteristic
418C42×D11—21no—
419C42×D11C2311yescharacteristic
420C4×Dic22—21no—
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×#107C2311yescharacteristic
424C11×#106C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×C4⋊C8C2311yescharacteristic
427C11×C4⋊C8C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×#97C2311yescharacteristic
439C11×#97C2311yescharacteristic
440C4×C8×C11C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66896C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450(C2×D11)⋊C8C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456#66881C2311yescharacteristic
457#66880C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462#66874C2311yescharacteristic
463#66873C2311yescharacteristic
464#66873C2311yescharacteristic
465#66873C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66872C2311yescharacteristic
475#66872C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478C4⋊(C11⋊C8)C2311yescharacteristic
479C4⋊(C11⋊C8)C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481#66867C2311yescharacteristic
482#66867C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62026—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C2×Q8×C11—21no—
488C2×Q8×C11C2×D411yescharacteristic
489C2×Q8×C11C2411yescharacteristic
490C2×Q8×C11C2411yescharacteristic
491C2×Q8×C11C2411yescharacteristic
492C2×D4×C11C2411yescharacteristic
493C22×C4×C11—21no—
494C2×C22⋊D11—21no—
495C2×C22⋊D11—21no—
496C2×C22⋊D11—21no—
497C2×C22⋊D11—21no—
498C2×C22⋊D11—21no—
499#4343—22no—
500#4343—22no—
501#4343—41no—
502#4343—41no—
503#4343—41no—
504#4343—41no—
505#4343—41no—
506#4343—41no—
507#4343—41no—
508#4343—41no—
509#4343—41no—
510#4343—41no—
511#4343—82no—
512Q8×D11—22no—
513Q8×D11—41no—
514D4×D11—41no—
515D4×D11—41no—
516D4×D11—41no—
517D4×D11—41no—
518#4339—82no—
519C2×D44—21no—
520C2×D44—21no—
521C2×D44—21no—
522C2×D44—21no—
523C2×D44—21no—
524C2×D44—21no—
525C2×D44—21no—
526C2×D44—21no—
527C2×D44—21no—
528C2×D44—21no—
529C2×D44—21no—
530C2×D44—21no—
531C2×D44—21no—
532C2×D44—21no—
533C2×D44—21no—
534C2×D44—21no—
535C2×D44—21no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44—21no—
539C2×D44—21no—
540C2×D44—82no—
541C2×D44C2×D411yescharacteristic
542C2×D44C2×D411yescharacteristic
543C2×D44C2×D411yescharacteristic
544C2×D44C2411yescharacteristic
545C2×D44C2411yescharacteristic
546C2×D44C2411yescharacteristic
547C2×D44C2411yescharacteristic
548C2×D44C2411yescharacteristic
549C2×C4×D11—21no—
550C2×C4×D11—21no—
551C2×C4×D11—21no—
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
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×D11C2×D411yescharacteristic
565C2×C4×D11C2×D411yescharacteristic
566C2×C4×D11C2411yescharacteristic
567C2×C4×D11C2411yescharacteristic
568C2×C4×D11C2411yescharacteristic
569C2×Dic22—21no—
570C2×Dic22—21no—
571C2×Dic22C2411yescharacteristic
572C11×Q16—22no—
573C11×Q16—22no—
574C11×SD16—22no—
575C2×C8×C11C2411yescharacteristic
576C2×C8×C11C2411yescharacteristic
577C2×C8×C11C2411yescharacteristic
578C2×C8×C11C2411yescharacteristic
579C11×C4⋊C4—21no—
580C11×C4⋊C4—21no—
581C11×C4⋊C4—21no—
582C11×C4⋊C4—21no—
583C11×C4⋊C4—21no—
584C11×C4⋊C4—21no—
585C11×C4⋊C4—21no—
586C11×C4⋊C4—21no—
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4—21no—
590C11×C4⋊C4—21no—
591C11×C4⋊C4C2×D411yescharacteristic
592C11×C4⋊C4C2×D411yescharacteristic
593C11×C4⋊C4C2×D411yescharacteristic
594C11×C4⋊C4C2411yescharacteristic
595C11×C4⋊C4C2411yescharacteristic
596C11×C4⋊C4C2411yescharacteristic
597C11×C4⋊C4C2411yescharacteristic
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C42×C11—21no—
604C42×C11—21no—
605C42×C11—21no—
606C42×C11—21no—
607C42×C11—21no—
608C42×C11C2411yescharacteristic
609C42×C11C2411yescharacteristic
610C42×C11C2411yescharacteristic
611C22⋊Dic11—21no—
612#4326—41no—
613#4326—41no—
614#4325—22no—
615#4325—22no—
616#4325—22no—
617#4325—41no—
618#4325—41no—
619#4325—41no—
620#4325—41no—
621#4324—41no—
622#4323—41no—
623#4323—41no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4C2×D411yescharacteristic
653(C2×D11)⋊C4C2×D411yescharacteristic
654(C2×D11)⋊C4C2×D411yescharacteristic
655(C2×D11)⋊C4C2×D411yescharacteristic
656(C2×D11)⋊C4C2×D411yescharacteristic
657(C2×D11)⋊C4C2×D411yescharacteristic
658(C2×D11)⋊C4C2×D411yescharacteristic
659(C2×D11)⋊C4C2×D411yescharacteristic
660(C2×D11)⋊C4C2×D411yescharacteristic
661(C2×D11)⋊C4C2×D411yescharacteristic
662C4⋊Dic11—21no—
663C4⋊Dic11—21no—
664C4⋊Dic11—21no—
665C4⋊Dic11C2×D411yescharacteristic
666C4⋊Dic11C2×D411yescharacteristic
667C4⋊Dic11C2×D411yescharacteristic
668C4⋊Dic11C2411yescharacteristic
669C4⋊Dic11C2411yescharacteristic
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4C2×D411yescharacteristic
677Dic11⋊C4C2×D411yescharacteristic
678Dic11⋊C4C2×D411yescharacteristic
679Dic11⋊C4C2×D411yescharacteristic
680C4×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11C2×D411yescharacteristic
686C4×Dic11C2×D411yescharacteristic
687C4×Dic11C2411yescharacteristic
688C2×C11⋊C8C2411yescharacteristic
689C2×C11⋊C8C2411yescharacteristic
690C2×C11⋊C8C2411yescharacteristic
691C2×C11⋊C8C2411yescharacteristic
692D88—41no—
693D88—41no—
694D88—41no—
695D88—41no—
696D88—41no—
697D88—41no—
698#4314—41no—
699#4314—41no—
700#4314—41no—
701#4313—41no—
702#4313—41no—
703C8×D11—41no—
704C8×D11—41no—
705C8×D11—41no—
706C8×D11—41no—
707#3546—111no—
708#3524—111no—
709#3401—111no—
710#3399—111no—
711#3377D1111yescharacteristic, complemented
712#3368—111no—
713#3319—111no—
714#3318—111no—
715#3317—111no—
716#3307—111no—
717#3305—111no—
718#3296—111no—
719#3287—111no—
720#3282—111no—
721#3271—111no—
722#3269—111no—
723#3268—111no—
724#3265—111no—
725#3262—111no—
726#3257—111no—
727#3247—111no—
728#3224—111no—
729#3220—111no—
730#3219—111no—
731#3125—111no—
732#3121—111no—
733#3115—111no—
734#3045—111no—
735#3043—111no—
736#3035—111no—
737#2992—111no—
738C23×C11—21no—
739C22×D11—21no—
740C22×D11—21no—
741C22×D11—21no—
742C22×D11—21no—
743C22×D11—21no—
744C22×D11—81no—
745C22×D11—81no—
746C22×D11—81no—
747C22×D11—81no—
748C22×D11—81no—
749C22×D11—81no—
750C22×D11C22×D411yescharacteristic
751C22×D11C22×D411yescharacteristic
752C22×D11C22×D411yescharacteristic
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—21no—
756Q8×C11—21no—
757Q8×C11—21no—
758Q8×C11—41no—
759Q8×C11—81no—
760Q8×C11H(5,𝔽2)12yes—
761D4×C11—21no—
762D4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—42no—
771C2×C4×C11C22×D411yescharacteristic
772C2×C4×C11C22×D411yescharacteristic
773C2×C4×C11C22×D411yescharacteristic
774C2×C4×C11C22×D411yescharacteristic
775C2×C4×C11C22×D411yescharacteristic
776C2×C4×C11C22×D411yescharacteristic
777C2×C4×C11C2511yescharacteristic
778C22⋊D11—81no—
779C22⋊D11—81no—
780C22⋊D11—81no—
781C22⋊D11—81no—
782C22⋊D11—81no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11C22×D411yescharacteristic
787C2×Dic11C22×D411yescharacteristic
788C2×Dic11C22×D411yescharacteristic
789C2×Dic11C22×D411yescharacteristic
790C2×Dic11C22×D411yescharacteristic
791D44—21no—
792D44—21no—
793D44—21no—
794D44—21no—
795D44—21no—
796D44—21no—
797D44—21no—
798D44—21no—
799D44—21no—
800D44—21no—
801D44—41no—
802D44—41no—
803D44—41no—
804D44—42no—
805D44—42no—
806D44—42no—
807D44—81no—
808D44—81no—
809D44—81no—
810D44—81no—
811D44—81no—
812D44—81no—
813D44—81no—
814D44—81no—
815D44—81no—
816D44—81no—
817D44—81no—
818D44—81no—
819D44—81no—
820D44—81no—
821D44—81no—
822D44—81no—
823D44—81no—
824D44—81no—
825C4×D11—21no—
826C4×D11—21no—
827C4×D11—21no—
828C4×D11—21no—
829C4×D11—21no—
830C4×D11—21no—
831C4×D11—41no—
832C4×D11—41no—
833C4×D11—42no—
834C4×D11—42no—
835C4×D11—42no—
836C4×D11—42no—
837C4×D11—81no—
838C4×D11—81no—
839C4×D11—81no—
840C4×D11—81no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848Dic22—21no—
849Dic22—21no—
850Dic22—42no—
851Dic22—81no—
852C8×C11—21no—
853C8×C11—21no—
854C8×C11—21no—
855C8×C11—21no—
856C11⋊C8—21no—
857C11⋊C8—21no—
858C11⋊C8—21no—
859C11⋊C8—21no—
860C2×#137—111no—
861C2×AGL(1,ℤ/8)—111no—
862C2×#135—111no—
863C2×#135—111no—
864C2×#135—111no—
865C22×SD16—111no—
866#560—221no—
867#560—221no—
868#559—111no—
869#559—221no—
870#557C2×D1111yescharacteristic, complemented
871#556C2×D1111yescharacteristic
872#555—111no—
873#555—221no—
874#553—111no—
875#553—221no—
876#553—221no—
877#552—111no—
878#552—221no—
879#550—111no—
880#550—111no—
881#550—111no—
882#550—111no—
883#548—111no—
884#548—111no—
885#547—111no—
886#546—111no—
887#546—111no—
888#546—221no—
889D42—111no—
890#542—111no—
891#542—111no—
892#542—111no—
893#542—221no—
894#540—111no—
895#540—221no—
896#538—221no—
897#538—221no—
898#537—221no—
899#535—111no—
900#535—111no—
901#535—221no—
902#532—111no—
903#532—111no—
904#529—111no—
905#529—111no—
906#529—221no—
907#529—221no—
908#520—111no—
909#519—111no—
910C4×#41—111no—
911#497—111no—
912#496—111no—
913#496—111no—
914#496—111no—
915#495—111no—
916#493—111no—
917#491C2×D1111yescharacteristic, complemented
918#490—111no—
919#490—111no—
920#489C2×D1111yescharacteristic
921#488C2×D1111yescharacteristic
922#486—111no—
923#485—111no—
924#483—111no—
925#482—111no—
926#482—111no—
927#482—111no—
928#481—111no—
929#479C2×D1111yescharacteristic, complemented
930#478—111no—
931#478—111no—
932#478C2×D1111yescharacteristic
933#477—111no—
934#477C2×D1111yescharacteristic, complemented
935#476—111no—
936#475—111no—
937#474—111no—
938#474—111no—
939#469—111no—
940#468—111no—
941#468—111no—
942#468—111no—
943#467—111no—
944#466—111no—
945#466—111no—
946#466—111no—
947#466—111no—
948#465—111no—
949#465—111no—
950#465—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#464—111no—
957#464C2×D1111yescharacteristic
958#464C2×D1111yescharacteristic
959#463—111no—
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#463—111no—
966#463—111no—
967#462C2×D1111yescharacteristic, complemented
968#461—111no—
969#460—111no—
970#460—111no—
971#460—111no—
972#460—111no—
973#460—111no—
974#460—111no—
975#460—111no—
976#459—111no—
977#459—111no—
978#459—111no—
979#459—111no—
980#459—111no—
981#452—111no—
982#452—111no—
983#452—111no—
984#452—111no—
985#451—111no—
986#450—111no—
987#449—111no—
988#449—111no—
989#449—111no—
990#449—111no—
991#449—111no—
992#449—111no—
993#449—111no—
994#449—111no—
995#448—111no—
996#447—111no—
997#447—111no—
998#447—111no—
999#446—111no—
1000#446C2×D1111yescharacteristic, complemented
1001#442—111no—
1002#442—111no—
1003#442—111no—
1004#441—111no—
1005#441C2×D1111yescharacteristic, complemented
1006#440—111no—
1007#440—111no—
1008#440C2×D1111yescharacteristic
1009C4×Q16C2×D1111yescharacteristic, complemented
1010C4×SD16—111no—
1011C4×SD16—111no—
1012C4×SD16—111no—
1013#435—111no—
1014#435—111no—
1015#435—111no—
1016#435—111no—
1017C8×D4—111no—
1018C8×D4—111no—
1019#433—111no—
1020#433—111no—
1021#432—111no—
1022#424—111no—
1023#424—111no—
1024C2×C4⋊C8—111no—
1025#418—111no—
1026#417—111no—
1027#416—111no—
1028#416—111no—
1029#416—111no—
1030C2×#102—111no—
1031C22×C11—41no—
1032C22×C11—41no—
1033C22×C11—41no—
1034C22×C11C23×D411yescharacteristic
1035C2×D11—21no—
1036C2×D11—21no—
1037C2×D11—21no—
1038C2×D11—21no—
1039C2×D11—21no—
1040C2×D11—21no—
1041C2×D11—21no—
1042C2×D11—21no—
1043C2×D11—21no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11—41no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—162no—
1060C2×D11—162no—
1061C4×C11—21no—
1062C4×C11—21no—
1063C4×C11—21no—
1064C4×C11—21no—
1065C4×C11—21no—
1066C4×C11—21no—
1067C4×C11—22no—
1068C4×C11—41no—
1069C4×C11—41no—
1070C4×C11—41no—
1071C4×C11—41no—
1072C4×C11—41no—
1073C4×C11—41no—
1074C4×C11C2×H(5,𝔽2)11yescharacteristic
1075C4×C11#58511yescharacteristic
1076Dic11—21no—
1077Dic11—21no—
1078Dic11—21no—
1079Dic11—21no—
1080Dic11—21no—
1081Dic11—41no—
1082Dic11—41no—
1083Dic11—41no—
1084C2×#41—111no—
1085C2×#41—111no—
1086C2×#41—111no—
1087C2×#41—111no—
1088C2×#41—111no—
1089C2×#41—111no—
1090C2×#41—221no—
1091C2×#41—221no—
1092C22×Q8—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—221no—
1096#137—442no—
1097AGL(1,ℤ/8)—442no—
1098#135—442no—
1099#135—442no—
1100#135—442no—
1101C2×Q16—111no—
1102C2×Q16—111no—
1103C2×Q16C22×D1111yescharacteristic
1104C2×Q16C22×D1111yescharacteristic
1105C2×SD16—111no—
1106C2×SD16—111no—
1107C2×SD16—111no—
1108C2×SD16—111no—
1109C2×SD16—111no—
1110C2×SD16—111no—
1111C2×SD16—111no—
1112C2×SD16—111no—
1113C2×SD16—111no—
1114C2×SD16—111no—
1115C2×SD16—111no—
1116C2×SD16—442no—
1117C2×SD16C22×D1111yescharacteristic
1118C2×D8—111no—
1119C2×D8—111no—
1120C2×D8—111no—
1121C2×D8—111no—
1122C2×D8—111no—
1123C2×D8—111no—
1124C2×D8—111no—
1125C2×D8—111no—
1126C2×M16—111no—
1127C2×M16—111no—
1128C22×C8—111no—
1129C22×C8—111no—
1130C22×C8—111no—
1131C22×C8—111no—
1132C4⋊Q8—21no—
1133C4⋊Q8—111no—
1134C4⋊Q8C22×D1111yescharacteristic
1135C4⋊Q8C22×D1111yescharacteristic
1136#127—111no—
1137#127—111no—
1138#127—111no—
1139#127—111no—
1140#127—111no—
1141#127—221no—
1142#127—221no—
1143#127—221no—
1144#126—21no—
1145#126—21no—
1146#126—111no—
1147#126—111no—
1148#126—221no—
1149#126—221no—
1150#126—221no—
1151#126—221no—
1152#126—221no—
1153#126—221no—
1154#125—21no—
1155#125—21no—
1156#125—111no—
1157#125—221no—
1158#125C22×D1111yescharacteristic
1159#125C22×D1111yescharacteristic
1160#124—111no—
1161#124—111no—
1162#124—111no—
1163#124—111no—
1164#124—111no—
1165#124—221no—
1166#124—221no—
1167#124—221no—
1168#124—221no—
1169#124—221no—
1170#124—221no—
1171#124—221no—
1172#124—221no—
1173#124—221no—
1174#124C22×D1111yescharacteristic
1175#124C22×D1111yescharacteristic
1176#123—111no—
1177#123—111no—
1178#123—221no—
1179#123—221no—
1180#123—221no—
1181#123—221no—
1182#123—221no—
1183#123—221no—
1184#123—221no—
1185#123—221no—
1186#123—221no—
1187#123—221no—
1188#123—221no—
1189#123—221no—
1190#123—221no—
1191#123—221no—
1192C22⋊Q8—21no—
1193C22⋊Q8—111no—
1194C22⋊Q8—111no—
1195C22⋊Q8—111no—
1196C22⋊Q8—111no—
1197C22⋊Q8—111no—
1198C22⋊Q8—221no—
1199C22⋊Q8—221no—
1200C22⋊Q8—221no—
1201C22⋊Q8—221no—
1202C22⋊Q8—221no—
1203#121—111no—
1204#121—111no—
1205#121—111no—
1206#121—111no—
1207#121—111no—
1208#121—111no—
1209#121—111no—
1210#121—111no—
1211#121—111no—
1212#121—221no—
1213#121—221no—
1214#121—221no—
1215#121—221no—
1216#121—221no—
1217#121—221no—
1218#121—221no—
1219#121—221no—
1220#121—221no—
1221#121—221no—
1222#121—221no—
1223#121—221no—
1224#121—221no—
1225#121—221no—
1226#121—221no—
1227#121—221no—
1228#121—221no—
1229#121—221no—
1230#121—221no—
1231#121—221no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#120—221no—
1239#120—221no—
1240#120—221no—
1241#120—221no—
1242#120—221no—
1243#120—221no—
1244#120—221no—
1245#120—221no—
1246C4×Q8—21no—
1247C4×Q8—111no—
1248C4×Q8—111no—
1249C4×Q8—111no—
1250C4×Q8—221no—
1251C4×Q8—221no—
1252C4×Q8C22×D1111yescharacteristic
1253C4×Q8C22×D1111yescharacteristic
1254C4×Q8C22×D1111yescharacteristic
1255C4×Q8C22×D1111yescharacteristic
1256C4×Q8C22×D1111yescharacteristic
1257C4×Q8C22×D1111yescharacteristic
1258C4×D4—111no—
1259C4×D4—111no—
1260C4×D4—111no—
1261C4×D4—111no—
1262C4×D4—111no—
1263C4×D4—111no—
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—111no—
1268C4×D4—221no—
1269C4×D4—221no—
1270C4×D4—221no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4C22×D1111yescharacteristic
1284#117—21no—
1285#117—111no—
1286#117—111no—
1287#117—111no—
1288#117—111no—
1289#117—221no—
1290#117—221no—
1291#117—221no—
1292#117—221no—
1293#117—221no—
1294#117—221no—
1295#117—221no—
1296C2×C4⋊C4—111no—
1297C2×C4⋊C4—221no—
1298C2×C4⋊C4—221no—
1299C2×C22⋊C4—221no—
1300C2×C22⋊C4—221no—
1301C2×C42—111no—
1302C2×C42—221no—
1303#107—111no—
1304#107—111no—
1305#107C22×D1111yescharacteristic
1306#107C22×D1111yescharacteristic
1307#106—111no—
1308#106—111no—
1309#106—111no—
1310#106C22×D1111yescharacteristic
1311C4⋊C8—111no—
1312C4⋊C8—111no—
1313C4⋊C8—111no—
1314C4⋊C8—111no—
1315C4⋊C8—111no—
1316C4⋊C8—111no—
1317C4⋊C8—111no—
1318C4⋊C8C22×D1111yescharacteristic
1319C4⋊C8C22×D1111yescharacteristic
1320C4⋊C8C22×D1111yescharacteristic
1321#103—111no—
1322#103—111no—
1323#103—111no—
1324#103—111no—
1325#103—111no—
1326#103C22×D1111yescharacteristic
1327#103C22×D1111yescharacteristic
1328#103C22×D1111yescharacteristic
1329#103C22×D1111yescharacteristic
1330#103C22×D1111yescharacteristic
1331#103C22×D1111yescharacteristic
1332#103C22×D1111yescharacteristic
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102—111no—
1340#102—111no—
1341#102—111no—
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102C22×D1111yescharacteristic
1351#102C22×D1111yescharacteristic
1352#102C22×D1111yescharacteristic
1353C22⋊C8—111no—
1354C22⋊C8—111no—
1355C22⋊C8—111no—
1356C22⋊C8—111no—
1357C22⋊C8—111no—
1358C22⋊C8—111no—
1359#97—111no—
1360#97—111no—
1361#97C22×D1111yescharacteristic
1362#97C22×D1111yescharacteristic
1363C4×C8—111no—
1364C4×C8C22×D1111yescharacteristic
1365C2×C11—81no—
1366C2×C11#348811yescharacteristic
1367C2×C11#358411yescharacteristic
1368C2×C11#358511yescharacteristic
1369D11—41no—
1370D11—41no—
1371D11—41no—
1372D11—81no—
1373D11—81no—
1374D11—81no—
1375D11—81no—
1376D11—81no—
1377C24—221no—
1378C24—221no—
1379#41—222no—
1380#41—222no—
1381#41—441no—
1382#41—441no—
1383#41—441no—
1384#41—441no—
1385#41—441no—
1386#41—441no—
1387#41—441no—
1388#41—441no—
1389#41—441no—
1390#41—441no—
1391#41—882no—
1392#41—882no—
1393C2×Q8—21no—
1394C2×Q8—111no—
1395C2×Q8—221no—
1396C2×Q8—221no—
1397C2×Q8—222no—
1398C2×Q8—441no—
1399C2×Q8D4×D1111yescharacteristic
1400C2×Q8C23×D1111yescharacteristic
1401C2×Q8C23×D1111yescharacteristic
1402C2×Q8C23×D1111yescharacteristic
1403C2×D4—111no—
1404C2×D4—111no—
1405C2×D4—111no—
1406C2×D4—111no—
1407C2×D4—111no—
1408C2×D4—111no—
1409C2×D4—111no—
1410C2×D4—111no—
1411C2×D4—221no—
1412C2×D4—221no—
1413C2×D4—221no—
1414C2×D4—221no—
1415C2×D4—221no—
1416C2×D4—221no—
1417C2×D4—221no—
1418C2×D4—221no—
1419C2×D4—221no—
1420C2×D4—221no—
1421C2×D4—221no—
1422C2×D4—221no—
1423C2×D4—221no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—441no—
1438C2×D4—441no—
1439C2×D4—441no—
1440C2×D4—441no—
1441C2×D4—882no—
1442C2×D4C23×D1111yescharacteristic
1443C22×C4—21no—
1444C22×C4—111no—
1445C22×C4—111no—
1446C22×C4—111no—
1447C22×C4—111no—
1448C22×C4—111no—
1449C22×C4—221no—
1450C22×C4—221no—
1451C22×C4—221no—
1452C22×C4—221no—
1453C22×C4—221no—
1454C22×C4—221no—
1455C22×C4—221no—
1456C22×C4—221no—
1457C22×C4—221no—
1458C22×C4—221no—
1459C22×C4—221no—
1460C22×C4—221no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4—221no—
1464Q16—22no—
1465Q16—22no—
1466Q16—441no—
1467Q16—441no—
1468SD16—22no—
1469SD16—222no—
1470SD16—222no—
1471SD16—222no—
1472SD16—441no—
1473SD16—441no—
1474SD16—441no—
1475SD16—441no—
1476SD16—441no—
1477SD16—441no—
1478SD16—441no—
1479SD16—441no—
1480D8—441no—
1481D8—441no—
1482D8—441no—
1483D8—441no—
1484D8—441no—
1485D8—441no—
1486D8—441no—
1487D8—441no—
1488M16—441no—
1489M16—441no—
1490C2×C8—111no—
1491C2×C8—111no—
1492C2×C8—111no—
1493C2×C8—111no—
1494C2×C8—441no—
1495C2×C8—441no—
1496C2×C8—441no—
1497C2×C8—441no—
1498C2×C8C23×D1111yescharacteristic
1499C2×C8C23×D1111yescharacteristic
1500C2×C8C23×D1111yescharacteristic
1501C2×C8C23×D1111yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—111no—
1515C4⋊C4—111no—
1516C4⋊C4—111no—
1517C4⋊C4—111no—
1518C4⋊C4—111no—
1519C4⋊C4—111no—
1520C4⋊C4—111no—
1521C4⋊C4—111no—
1522C4⋊C4—111no—
1523C4⋊C4—221no—
1524C4⋊C4—221no—
1525C4⋊C4—221no—
1526C4⋊C4—221no—
1527C4⋊C4—221no—
1528C4⋊C4—221no—
1529C4⋊C4—221no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4D4×D1111yescharacteristic
1533C4⋊C4D4×D1111yescharacteristic
1534C4⋊C4D4×D1111yescharacteristic
1535C4⋊C4C23×D1111yescharacteristic
1536C4⋊C4C23×D1111yescharacteristic
1537C4⋊C4C23×D1111yescharacteristic
1538C4⋊C4C23×D1111yescharacteristic
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—111no—
1545C22⋊C4—111no—
1546C22⋊C4—111no—
1547C22⋊C4—111no—
1548C22⋊C4—111no—
1549C22⋊C4—111no—
1550C22⋊C4—111no—
1551C22⋊C4—111no—
1552C22⋊C4—111no—
1553C22⋊C4—111no—
1554C22⋊C4—221no—
1555C22⋊C4—221no—
1556C22⋊C4—221no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4—221no—
1582C22⋊C4—221no—
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42—21no—
1587C42—21no—
1588C42—111no—
1589C42—111no—
1590C42—111no—
1591C42—221no—
1592C42—221no—
1593C42—221no—
1594C42—221no—
1595C42—221no—
1596C42C23×D1111yescharacteristic
1597C42C23×D1111yescharacteristic
1598C42C23×D1111yescharacteristic
1599C11#6202611yescharacteristic, complemented, Sylow
1600C23—21no—
1601C23—111no—
1602C23—111no—
1603C23—111no—
1604C23—221no—
1605C23—221no—
1606C23—221no—
1607C23—221no—
1608C23—221no—
1609C23—881no—
1610C23—881no—
1611C23—881no—
1612C23—881no—
1613C23—881no—
1614C23—881no—
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—41no—
1621Q8—81no—
1622Q8—221no—
1623Q8—221no—
1624Q8—442no—
1625Q8—881no—
1626Q8#6704212yes—
1627D4—21no—
1628D4—21no—
1629D4—221no—
1630D4—221no—
1631D4—221no—
1632D4—221no—
1633D4—221no—
1634D4—221no—
1635D4—221no—
1636D4—221no—
1637D4—221no—
1638D4—221no—
1639D4—441no—
1640D4—441no—
1641D4—441no—
1642D4—442no—
1643D4—442no—
1644D4—442no—
1645D4—881no—
1646D4—881no—
1647D4—881no—
1648D4—881no—
1649D4—881no—
1650D4—881no—
1651D4—881no—
1652D4—881no—
1653D4—881no—
1654D4—881no—
1655D4—881no—
1656D4—881no—
1657D4—881no—
1658D4—881no—
1659D4—881no—
1660D4—881no—
1661D4—881no—
1662D4—881no—
1663D4—881no—
1664D4—881no—
1665D4—881no—
1666D4—881no—
1667D4—881no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—42no—
1676C2×C4—111no—
1677C2×C4—111no—
1678C2×C4—111no—
1679C2×C4—111no—
1680C2×C4—111no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—441no—
1691C2×C4—441no—
1692C2×C4—442no—
1693C2×C4—442no—
1694C2×C4—442no—
1695C2×C4—442no—
1696C2×C4—881no—
1697C2×C4—881no—
1698C2×C4—881no—
1699C2×C4—881no—
1700C2×C4—881no—
1701C2×C4—881no—
1702C2×C4—881no—
1703C2×C4—881no—
1704C2×C4—881no—
1705C2×C4—881no—
1706C2×C4—881no—
1707C2×C4C2×D4×D1111yescharacteristic
1708C2×C4C2×D4×D1111yescharacteristic
1709C2×C4C2×D4×D1111yescharacteristic
1710C2×C4C2×D4×D1111yescharacteristic
1711C2×C4C2×D4×D1111yescharacteristic
1712C2×C4C2×D4×D1111yescharacteristic
1713C2×C4C24×D1111yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—221no—
1719C8—221no—
1720C8—221no—
1721C8—221no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—221no—
1726C22—221no—
1727C22—221no—
1728C22—221no—
1729C22—221no—
1730C22—221no—
1731C22—221no—
1732C22—221no—
1733C22—221no—
1734C22—441no—
1735C22—441no—
1736C22—441no—
1737C22—441no—
1738C22—441no—
1739C22—441no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—1762no—
1750C22—1762no—
1751C22C22×D4×D1111yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—22no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—221no—
1766C4—221no—
1767C4—221no—
1768C4—221no—
1769C4—221no—
1770C4—441no—
1771C4—441no—
1772C4—441no—
1773C4C2×#6704211yescharacteristic
1774C4#1062345711yescharacteristic
1775C2—81no—
1776C2—441no—
1777C2—441no—
1778C2—441no—
1779C2—881no—
1780C2—881no—
1781C2—881no—
1782C2—881no—
1783C2—881no—
1784C2#1308228211yescharacteristic
1785C2#1308338611yescharacteristic
1786C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3377C2
socleC22×C11C23×D4
hypercenter#3377D11
hypocenterC11#62026
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3377

Complements

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

NH ≅ G/Ntype
1. #13082991C2semidirect
2. #13082728C2semidirect
3. #13081682C2semidirect
4. #13081660C2semidirect
5. #13081345C2semidirect
6. #13080771C2semidirect
7. #13080754C2semidirect
8. #13080739C2semidirect
9. #13080591C2semidirect
10. #13080563C2semidirect
11. #13080450C2semidirect
12. #13080375C2semidirect
13. #13080318C2semidirect
14. #13080203C2semidirect
15. #13080166C2semidirect
16. #13080151C2semidirect
17. #13080113C2semidirect
18. #13080079C2semidirect
19. #13080033C2semidirect
20. #13079941C2semidirect
21. #13079711C2semidirect
22. #13079669C2semidirect
23. #13079656C2semidirect
24. #13078891C2semidirect
25. #13078851C2semidirect
26. #13078765C2semidirect
27. #13078158C2semidirect
28. #13078135C2semidirect
29. #13078074C2semidirect
30. #13077754C2semidirect
31. C11×#3377C2semidirect
32. C11×#557C22semidirect
34. C2×#66972C22semidirect
35. C2×#66972C22semidirect
36. C2×#66972C22semidirect
37. C2×#66971C22semidirect
41. #10623265C22semidirect
43. #10623264C22semidirect
51. #10623229C22semidirect
55. #10623225C22semidirect
57. #10623222C22semidirect
65. #10623116C22semidirect
73. #10623108C22semidirect
75. #10623107C22semidirect
76. #10623105C22semidirect
77. C4×#4343C22semidirect
78. #10623103C22semidirect
83. C11×#491C22semidirect
86. C11×#479C22semidirect
88. C11×#477C22semidirect
91. C11×#462C22semidirect
92. C11×#446C22semidirect
93. C11×#441C22semidirect
95. C4×C11×Q16C22semidirect
96. #10622800C22semidirect
97. #10622799C22semidirect
98. #10622798C22semidirect
99. #10622798C22semidirect
102. #10622701C22semidirect
103. #10622700C22semidirect
104. #10622699C22semidirect
105. #10622696C22semidirect
107. #10622680C22semidirect
108. #10622679C22semidirect
109. #10622679C22semidirect
114. #10622643C22semidirect
115. #10622641C22semidirect
117. #10622640C22semidirect
118. #10622640C22semidirect
119. #10622640C22semidirect
120. #10622639C22semidirect
121. #10622639C22semidirect
122. C4×#4325C22semidirect
123. C4×#4325C22semidirect
124. #10622637C22semidirect
127. #10622503C22semidirect
130. #10622498C22semidirect
133. #10622496C22semidirect
134. #10622488C22semidirect
135. #10622483C22semidirect
137. #10622477C22semidirect
139. #10622461C22semidirect
140. #10622457C22semidirect
141. #10622457C22semidirect
143. #10622456C22semidirect
144. #10622456C22semidirect
145. #10622452C22semidirect
146. #10622452C22semidirect
148. #10622449C22semidirect
149. #10622447C22semidirect
150. D11×C4⋊C8C22semidirect
151. #10622432C22semidirect
152. #10622432C22semidirect
153. #10622432C22semidirect
154. #10622432C22semidirect
155. #10622428C22semidirect
156. #10622426C22semidirect
157. #10622425C22semidirect
158. #10622425C22semidirect
160. #10622424C22semidirect
161. #10622424C22semidirect
162. #10622424C22semidirect
163. #10622424C22semidirect
164. #10622424C22semidirect
165. #10622424C22semidirect
166. #10622423C22semidirect
167. #10622423C22semidirect
168. #10622423C22semidirect
169. #10622420C22semidirect
171. #10622418C22semidirect
172. #10622417C22semidirect
173. #10622417C22semidirect
174. #10622417C22semidirect
175. #10622416C22semidirect
176. #10622411C22semidirect
177. #10622411C22semidirect
178. #10622404C22semidirect
192. #10622325C22semidirect
193. #10622324C22semidirect
194. #10622324C22semidirect
195. #10622322C22semidirect
197. #10622319C22semidirect
198. #10622318C22semidirect
199. #10622308C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. C8×D44C22semidirect
711. #3377D11semidirect
870. #557C2×D11semidirect
917. #491C2×D11semidirect
929. #479C2×D11semidirect
934. #477C2×D11semidirect
967. #462C2×D11semidirect
1000. #446C2×D11semidirect
1005. #441C2×D11semidirect
1009. C4×Q16C2×D11semidirect
1599. C11#62026semidirect

Maximal subgroups

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

subgroupindex
#130829912
#130827282
#130816822
#130816602
#130813452
#130807712
#130807542
#130807392
#130805912
#130805632
#130804502
#130803752
#130803182
#130802032
#130801662
#130801512
#130801132
#130800792
#130800332
#130799412
#130797112
#130796692
#130796562
#130788912
#130788512
#130787652
#130781582
#130781352
#130780742
#130777542
C11×#33772
#6202611