Finite Group Databasebeta

← #15647305

Subgroups — #15647305

Order 2816.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083185C211yesmaximal, characteristic, complemented
2#13082649C211yesmaximal, characteristic, complemented
3#13081638C211yesmaximal, characteristic, complemented
4#13081636C211yesmaximal, characteristic, complemented
5#13081443C211yesmaximal, characteristic, complemented
6#13080801C211yesmaximal, characteristic, complemented
7#13080799C211yesmaximal, characteristic, complemented
8#13080786C211yesmaximal, characteristic, complemented
9#13080784C211yesmaximal, characteristic, complemented
10#13080465C211yesmaximal, characteristic, complemented
11#13080463C211yesmaximal, characteristic, complemented
12#13080315C211yesmaximal, characteristic, complemented
13SD16×D44C211yesmaximal, characteristic, complemented
14#13080117C211yesmaximal, characteristic, complemented
15#13080113C211yesmaximal, characteristic, complemented
16#13080102C211yesmaximal, characteristic, complemented
17#13080098C211yesmaximal, characteristic, complemented
18#13080033C211yesmaximal, characteristic, complemented
19#13080031C211yesmaximal, characteristic, complemented
20#13079931C211yesmaximal, characteristic, complemented
21#13079680C211yesmaximal, characteristic, complemented
22#13079678C211yesmaximal, characteristic, complemented
23#13079604C211yesmaximal, characteristic, complemented
24#13078806C211yesmaximal, characteristic, complemented
25#13078798C211yesmaximal, characteristic, complemented
26#13078713C211yesmaximal, characteristic, complemented
27#13078126C211yesmaximal, characteristic, complemented
28#13078123C211yesmaximal, characteristic, complemented
29D11×#463C211yesmaximal, characteristic, complemented
30#13077754C211yesmaximal, characteristic, complemented
31C11×#3376C211yesmaximal, characteristic, complemented
32C11×#556C2211yescharacteristic, complemented
33C11×#554C2211yescharacteristic, complemented
34C2×#66967C2211yescharacteristic
35C2×SD16×D11C2211yescharacteristic
36C2×SD16×D11C2211yescharacteristic, complemented
37C2×SD16×D11C2211yescharacteristic, complemented
38C2×#66964C2211yescharacteristic
39C2×D8×D11C2211yescharacteristic
40#10623265C2211yescharacteristic, complemented
41#10623258C2211yescharacteristic, complemented
42#10623256C2211yescharacteristic
43#10623255C2211yescharacteristic, complemented
44#10623243—21no—
45#10623241—21no—
46#10623236—21no—
47#10623235—21no—
48#10623229C2211yescharacteristic, complemented
49#10623229C2211yescharacteristic, complemented
50#10623226C2211yescharacteristic
51#10623226C2211yescharacteristic
52#10623208C2211yescharacteristic, complemented
53#10623207C2211yescharacteristic, complemented
54#10623206C2211yescharacteristic, complemented
55D11×#124C2211yescharacteristic, complemented
56#10623178—21no—
57#10623175—21no—
58#10623175—21no—
59#10623165—21no—
60#10623161—21no—
61#10623161—21no—
62#10623161—21no—
63#10623158—21no—
64#10623115C2211yescharacteristic, complemented
65#10623113C2211yescharacteristic, complemented
66#10623111C2211yescharacteristic
67#10623109C2211yescharacteristic, complemented
68#10623108C2211yescharacteristic, complemented
69#10623107C2211yescharacteristic, complemented
70Q8×D44C2211yescharacteristic, complemented
71#10623092C2211yescharacteristic, complemented
72#10623085C2211yescharacteristic, complemented
73D4×D44C2211yescharacteristic
74D4×D44C2211yescharacteristic
75D4×D44C2211yescharacteristic, complemented
76#10623076C2211yescharacteristic, complemented
77#10623076C2211yescharacteristic, complemented
78C4×D4×D11C2211yescharacteristic
79#10623065—21no—
80#10623058—21no—
81#10623045—21no—
82C2×#66948—21no—
83C11×#491C2211yescharacteristic, complemented
84C11×#489C2211yescharacteristic, complemented
85C11×#488C2211yescharacteristic, complemented
86C11×#479C2211yescharacteristic, complemented
87C11×#478C2211yescharacteristic, complemented
88C11×#475C2211yescharacteristic, complemented
89C11×#463C2211yescharacteristic
90C11×#463C2211yescharacteristic
91C11×#461C2211yescharacteristic, complemented
92C11×#446C2211yescharacteristic, complemented
93C11×#442C2211yescharacteristic
94C11×#440C2211yescharacteristic, complemented
95C4×C11×SD16C2211yescharacteristic, complemented
96#10622782C2211yescharacteristic
97#10622782C2211yescharacteristic, complemented
98#10622778C2211yescharacteristic
99#10622775C2211yescharacteristic, complemented
100#10622769C2211yescharacteristic
101#10622766C2211yescharacteristic
102#10622707C2211yescharacteristic, complemented
103#10622702C2211yescharacteristic, complemented
104#10622698C2211yescharacteristic, complemented
105#10622696C2211yescharacteristic, complemented
106#10622682C2211yescharacteristic, complemented
107#10622681C2211yescharacteristic, complemented
108#10622679C2211yescharacteristic, complemented
109#10622676C2211yescharacteristic, complemented
110#10622671C2211yescharacteristic, complemented
111#10622671C2211yescharacteristic, complemented
112#10622670C2211yescharacteristic, complemented
113#10622670C2211yescharacteristic, complemented
114#10622640C2211yescharacteristic, complemented
115#10622640C2211yescharacteristic, complemented
116#10622639C2211yescharacteristic, complemented
117#10622639C2211yescharacteristic, complemented
118#10622637C2211yescharacteristic, complemented
119#10622632C2211yescharacteristic, complemented
120#10622631C2211yescharacteristic, complemented
121C4×#4324C2211yescharacteristic, complemented
122#10622629C2211yescharacteristic
123#10622629C2211yescharacteristic
124#10622628C2211yescharacteristic, complemented
125#10622627C2211yescharacteristic
126C4×#4323C2211yescharacteristic, complemented
127#10622503C2211yescharacteristic, complemented
128#10622499C2211yescharacteristic, complemented
129#10622497C2211yescharacteristic, complemented
130#10622496C2211yescharacteristic, complemented
131#10622483C2211yescharacteristic, complemented
132#10622483C2211yescharacteristic, complemented
133#10622480C2211yescharacteristic, complemented
134#10622479C2211yescharacteristic, complemented
135#10622478C2211yescharacteristic, complemented
136#10622477C2211yescharacteristic, complemented
137#10622477C2211yescharacteristic, complemented
138#10622477C2211yescharacteristic, complemented
139#10622461C2211yescharacteristic, complemented
140#10622461C2211yescharacteristic, complemented
141#10622457C2211yescharacteristic, complemented
142#10622457C2211yescharacteristic, complemented
143#10622456C2211yescharacteristic, complemented
144#10622454C2211yescharacteristic, complemented
145#10622452C2211yescharacteristic, complemented
146#10622452C2211yescharacteristic, complemented
147#10622449C2211yescharacteristic, complemented
148#10622449C2211yescharacteristic, complemented
149#10622447C2211yescharacteristic, complemented
150D11×C4⋊C8C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622432C2211yescharacteristic, complemented
153#10622432C2211yescharacteristic, complemented
154#10622431C2211yescharacteristic, complemented
155#10622431C2211yescharacteristic, complemented
156#10622431C2211yescharacteristic, complemented
157#10622427C2211yescharacteristic, complemented
158#10622425C2211yescharacteristic, complemented
159#10622424C2211yescharacteristic, complemented
160#10622424C2211yescharacteristic, complemented
161#10622422C2211yescharacteristic, complemented
162#10622420C2211yescharacteristic, complemented
163#10622420C2211yescharacteristic, complemented
164#10622420C2211yescharacteristic, complemented
165#10622419C2211yescharacteristic, complemented
166#10622419C2211yescharacteristic, complemented
167#10622419C2211yescharacteristic, complemented
168#10622419C2211yescharacteristic, complemented
169#10622419C2211yescharacteristic, complemented
170#10622419C2211yescharacteristic, complemented
171#10622417C2211yescharacteristic, complemented
172#10622415C2211yescharacteristic, complemented
173#10622415C2211yescharacteristic, complemented
174D11×#103C2211yescharacteristic, complemented
175#10622400C2211yescharacteristic, complemented
176#10622400C2211yescharacteristic, complemented
177#10622400C2211yescharacteristic, complemented
178#10622397C2211yescharacteristic, complemented
179#10622395C2211yescharacteristic, complemented
180#10622394C2211yescharacteristic, complemented
181#10622394C2211yescharacteristic, complemented
182#10622389C2211yescharacteristic
183#10622389C2211yescharacteristic, complemented
184#10622388C2211yescharacteristic, complemented
185#10622386C2211yescharacteristic
186#10622386C2211yescharacteristic, complemented
187#10622386C2211yescharacteristic, complemented
188#10622385C2211yescharacteristic, complemented
189D11×#102C2211yescharacteristic, complemented
190#10622372C2211yescharacteristic, complemented
191#10622325C2211yescharacteristic, complemented
192#10622325C2211yescharacteristic, complemented
193#10622323C2211yescharacteristic, complemented
194#10622323C2211yescharacteristic, complemented
195#10622322C2211yescharacteristic, complemented
196#10622319C2211yescharacteristic, complemented
197#10622319C2211yescharacteristic, complemented
198#10622318C2211yescharacteristic, complemented
199#10622306C2211yescharacteristic, complemented
200C4×D88C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic, complemented
203C2×#4343—21no—
204C2×#4343—21no—
205C2×#4343C2311yescharacteristic
206C2×Q8×D11C2311yescharacteristic
207C2×Q8×D11C2311yescharacteristic
208C2×Q8×D11C2311yescharacteristic
209C2×#4341C2311yescharacteristic
210C2×D4×D11C2311yescharacteristic
211C2×D4×D11C2311yescharacteristic
212C2×D4×D11C2311yescharacteristic
213C2×D4×D11C2311yescharacteristic
214C22×D44—21no—
215C22×D44—21no—
216C22×D44—21no—
217C22×C4×D11—21no—
218C2×C11×SD16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×D8C2311yescharacteristic
221C11×C4⋊Q8C2311yescharacteristic
222C11×C4⋊Q8C2311yescharacteristic
223C11×#126—21no—
224C11×#126—21no—
225C11×#125C2311yescharacteristic
226C11×#125C2311yescharacteristic
227C11×#124C2311yescharacteristic
228C11×#124C2311yescharacteristic
229C11×C22⋊Q8—21no—
230C11×C22⋊Q8—21no—
231C11×C22⋊Q8—21no—
232C11×C22⋊Q8—21no—
233C4×Q8×C11C2311yescharacteristic
234C4×Q8×C11C2311yescharacteristic
235C4×Q8×C11C2311yescharacteristic
236C4×D4×C11C2311yescharacteristic
237C4×D4×C11C2311yescharacteristic
238C4×D4×C11C2311yescharacteristic
239C4×D4×C11C2311yescharacteristic
240C11×#117—21no—
241C2×C11×C4⋊C4—21no—
242#67000—21no—
243#67000—21no—
244#67000—21no—
245#67000D411yescharacteristic
246#67000C2311yescharacteristic
247#66999—21no—
248#66999D411yescharacteristic
249#66999C2311yescharacteristic
250#66999C2311yescharacteristic
251#66997C2311yescharacteristic
252C2×#4325C2311yescharacteristic
253C2×#4325C2311yescharacteristic
254C2×#4325C2311yescharacteristic
255C2×#4325C2311yescharacteristic
256C2×#4325C2311yescharacteristic
257C2×#4325C2311yescharacteristic
258#66991C2311yescharacteristic
259#66989C2311yescharacteristic
260D4×Dic11C2311yescharacteristic
261C2×#4324C2311yescharacteristic
262C2×#4324C2311yescharacteristic
263C2×#4323C2311yescharacteristic
264C2×#4323C2311yescharacteristic
265C2×#4323C2311yescharacteristic
266C2×#4323C2311yescharacteristic
267#66983—21no—
268#66983—21no—
269#66983—21no—
270#66983—21no—
271#66982—21no—
272C4×C22⋊D11—21no—
273C4×C22⋊D11—21no—
274C4×C22⋊D11—21no—
275C2×(C2×D11)⋊C4—21no—
276C2×(C2×D11)⋊C4—21no—
277C2×(C2×D11)⋊C4—21no—
278#66977—21no—
279#66967—42no—
280SD16×D11—42no—
281SD16×D11—42no—
282SD16×D11—42no—
283#66964—42no—
284D8×D11—42no—
285C2×D88C2311yescharacteristic
286C2×D88C2311yescharacteristic
287C2×D88C2311yescharacteristic
288C2×#4314C2311yescharacteristic
289C2×#4314C2311yescharacteristic
290C2×#4314C2311yescharacteristic
291C2×#4314C2311yescharacteristic
292C2×#4314C2311yescharacteristic
293C2×#4314C2311yescharacteristic
294C2×#4313C2311yescharacteristic
295C2×#4313C2311yescharacteristic
296C2×C8×D11C2311yescharacteristic
297C2×C8×D11C2311yescharacteristic
298C2×C8×D11C2311yescharacteristic
299C2×C8×D11C2311yescharacteristic
300#66951—21no—
301#66951—21no—
302#66951—21no—
303#66951—21no—
304#66951D411yescharacteristic
305#66951D411yescharacteristic
306#66950—21no—
307#66950—21no—
308#66950—21no—
309#66950C2311yescharacteristic
310#66950C2311yescharacteristic
311#66949—21no—
312#66949—21no—
313#66949—21no—
314#66949—21no—
315#66949—21no—
316#66949—21no—
317#66948—21no—
318#66948—21no—
319#66948—21no—
320#66948—21no—
321#66948—21no—
322#66948—21no—
323#66948—21no—
324#66948—21no—
325#66948—21no—
326#66948—21no—
327#66948—21no—
328#66948—21no—
329#66948D411yescharacteristic
330#66948C2311yescharacteristic
331#66948C2311yescharacteristic
332#66948C2311yescharacteristic
333#66948C2311yescharacteristic
334#66948C2311yescharacteristic
335#66948C2311yescharacteristic
336#66948C2311yescharacteristic
337#66947—21no—
338#66947—21no—
339#66947—21no—
340#66947—21no—
341#66947—21no—
342#66947—21no—
343#66947—21no—
344#66947—21no—
345#66947—21no—
346#66947D411yescharacteristic
347#66947D411yescharacteristic
348#66946—21no—
349#66946—21no—
350#66946—21no—
351#66946—21no—
352#66946C2311yescharacteristic
353#66946C2311yescharacteristic
354#66946C2311yescharacteristic
355#66945—21no—
356#66945—21no—
357#66945C2311yescharacteristic
358#66945C2311yescharacteristic
359C4⋊C4×D11C2311yescharacteristic
360#66943D411yescharacteristic
361#66942—21no—
362#66941—21no—
363#66941C2311yescharacteristic
364#66939—21no—
365#66938—21no—
366#66938—21no—
367#66938—21no—
368#66938—21no—
369#66937—21no—
370#66937—21no—
371#66936—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—
382(C22⋊D11)⋊C4—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385(C22⋊D11)⋊C4—21no—
386C22⋊C4×D11—21no—
387C22⋊C4×D11—21no—
388C22⋊C4×D11—21no—
389C22⋊C4×D11—21no—
390C22⋊C4×D11—21no—
391C22⋊C4×D11—21no—
392#66932—21no—
393#66931—21no—
394#66931—21no—
395#66931—21no—
396#66929—21no—
397#66928—21no—
398#66928—21no—
399#66928C2311yescharacteristic
400#66928C2311yescharacteristic
401#66927C2311yescharacteristic
402#66927C2311yescharacteristic
403#66927C2311yescharacteristic
404C4×D44—21no—
405C4×D44—21no—
406C4×D44C2311yescharacteristic
407C4×D44C2311yescharacteristic
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410C4×D44C2311yescharacteristic
411C4×D44C2311yescharacteristic
412C4×D44C2311yescharacteristic
413#66925—21no—
414#66925C2311yescharacteristic
415#66925C2311yescharacteristic
416C42×D11C2311yescharacteristic
417#66922—21no—
418#66922C2311yescharacteristic
419C4×Dic22—21no—
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×#106C2311yescharacteristic
424C11×#106C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×C4⋊C8C2311yescharacteristic
427C11×C4⋊C8C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×#97C2311yescharacteristic
439C11×#97C2311yescharacteristic
440C4×C8×C11C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449(C2×D11)⋊C8C2311yescharacteristic
450(C2×D11)⋊C8C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455#66882C2311yescharacteristic
456#66880C2311yescharacteristic
457#66880C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462#66874C2311yescharacteristic
463#66874C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
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#62016—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C23×D11—21no—
488C23×D11—21no—
489C2×Q8×C11—21no—
490C2×Q8×C11C2×D411yescharacteristic
491C2×Q8×C11C2411yescharacteristic
492C2×Q8×C11C2411yescharacteristic
493C2×D4×C11C2411yescharacteristic
494C2×D4×C11C2411yescharacteristic
495C22×C4×C11—21no—
496C22×C4×C11—21no—
497C22×C4×C11—21no—
498C22×C4×C11—21no—
499C2×C22⋊D11—21no—
500C2×C22⋊D11—21no—
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C22×Dic11—21no—
506C22×Dic11—21no—
507#4343—41no—
508#4343—41no—
509#4343—82no—
510#4343—82no—
511Q8×D11—41no—
512Q8×D11—41no—
513Q8×D11—41no—
514Q8×D11—41no—
515Q8×D11—41no—
516Q8×D11—41no—
517#4341—41no—
518#4341—41no—
519D4×D11—22no—
520D4×D11—22no—
521D4×D11—22no—
522D4×D11—41no—
523D4×D11—41no—
524D4×D11—41no—
525D4×D11—41no—
526D4×D11—41no—
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—21no—
541C2×D44—82no—
542C2×D44—82no—
543C2×D44—82no—
544C2×D44C2×D411yescharacteristic
545C2×D44C2×D411yescharacteristic
546C2×D44C2×D411yescharacteristic
547C2×D44C2411yescharacteristic
548C2×D44C2411yescharacteristic
549C2×D44C2411yescharacteristic
550C2×D44C2411yescharacteristic
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—82no—
564C2×C4×D11C2×D411yescharacteristic
565C2×C4×D11C2×D411yescharacteristic
566C2×C4×D11C2411yescharacteristic
567C2×C4×D11C2411yescharacteristic
568C2×C4×D11C2411yescharacteristic
569C2×Dic22—21no—
570C2×Dic22—21no—
571C2×Dic22—21no—
572C2×Dic22—21no—
573C2×Dic22C2411yescharacteristic
574C2×Dic22C2411yescharacteristic
575C11×SD16—22no—
576C11×SD16—22no—
577C11×D8—22no—
578C2×C8×C11C2411yescharacteristic
579C2×C8×C11C2411yescharacteristic
580C2×C8×C11C2411yescharacteristic
581C2×C8×C11C2411yescharacteristic
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—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C11×C22⋊C4—21no—
606C42×C11—21no—
607C42×C11—21no—
608C42×C11C2411yescharacteristic
609C42×C11C2411yescharacteristic
610C42×C11C2411yescharacteristic
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615#4325—41no—
616#4325—41no—
617#4325—41no—
618#4325—41no—
619#4325—41no—
620#4325—41no—
621#4324—22no—
622#4324—22no—
623#4323—22no—
624#4323—41no—
625#4323—41no—
626#4323—41no—
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)⋊C4—21no—
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
662(C2×D11)⋊C4C2×D411yescharacteristic
663C4⋊Dic11—21no—
664C4⋊Dic11—21no—
665C4⋊Dic11—21no—
666C4⋊Dic11—21no—
667C4⋊Dic11C2×D411yescharacteristic
668C4⋊Dic11C2×D411yescharacteristic
669C4⋊Dic11C2×D411yescharacteristic
670C4⋊Dic11C2411yescharacteristic
671C4⋊Dic11C2411yescharacteristic
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4C2×D411yescharacteristic
681Dic11⋊C4C2×D411yescharacteristic
682Dic11⋊C4C2×D411yescharacteristic
683Dic11⋊C4C2×D411yescharacteristic
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11C2×D411yescharacteristic
689C4×Dic11C2×D411yescharacteristic
690C4×Dic11C2411yescharacteristic
691C2×C11⋊C8C2411yescharacteristic
692C2×C11⋊C8C2411yescharacteristic
693C2×C11⋊C8C2411yescharacteristic
694C2×C11⋊C8C2411yescharacteristic
695D88—41no—
696D88—41no—
697D88—41no—
698#4314—41no—
699#4314—41no—
700#4314—41no—
701#4314—41no—
702#4314—41no—
703#4314—41no—
704#4313—41no—
705#4313—41no—
706C8×D11—41no—
707C8×D11—41no—
708C8×D11—41no—
709C8×D11—41no—
710#3561—111no—
711#3519—111no—
712#3397—111no—
713#3397—111no—
714#3376—111no—
715#3376D1111yescharacteristic, complemented
716#3321—111no—
717#3321—111no—
718#3320—111no—
719#3320—111no—
720#3297—111no—
721#3297—111no—
722D4×SD16—111no—
723D4×SD16—111no—
724#3265—111no—
725#3265—111no—
726#3264—111no—
727#3264—111no—
728#3257—111no—
729#3257—111no—
730#3246—111no—
731#3221—111no—
732#3221—111no—
733#3213—111no—
734#3118—111no—
735#3118—111no—
736#3110—111no—
737#3042—111no—
738#3042—111no—
739C2×#463—111no—
740#2992—111no—
741C23×C11—21no—
742C23×C11—21no—
743C22×D11—21no—
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—42no—
748C22×D11—42no—
749C22×D11—42no—
750C22×D11—42no—
751C22×D11—42no—
752C22×D11—81no—
753C22×D11—81no—
754C22×D11—81no—
755C22×D11—81no—
756C22×D11—81no—
757C22×D11—81no—
758C22×D11—81no—
759C22×D11C22×D411yescharacteristic
760C22×D11C22×D411yescharacteristic
761C22×D11C22×D411yescharacteristic
762Q8×C11—21no—
763Q8×C11—21no—
764Q8×C11—21no—
765Q8×C11—21no—
766Q8×C11—41no—
767Q8×C11—81no—
768D4×C11—21no—
769D4×C11—21no—
770D4×C11—21no—
771D4×C11H(5,𝔽2)12yes—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—42no—
779C2×C4×C11—81no—
780C2×C4×C11—81no—
781C2×C4×C11—81no—
782C2×C4×C11C22×D411yescharacteristic
783C2×C4×C11C22×D411yescharacteristic
784C2×C4×C11C22×D411yescharacteristic
785C2×C4×C11C22×D411yescharacteristic
786C2×C4×C11C22×D411yescharacteristic
787C2×C4×C11C22×D411yescharacteristic
788C2×C4×C11C2511yescharacteristic
789C22⋊D11—42no—
790C22⋊D11—42no—
791C22⋊D11—42no—
792C22⋊D11—81no—
793C22⋊D11—81no—
794C22⋊D11—81no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—81no—
800C2×Dic11—81no—
801C2×Dic11C22×D411yescharacteristic
802C2×Dic11C22×D411yescharacteristic
803C2×Dic11C22×D411yescharacteristic
804C2×Dic11C22×D411yescharacteristic
805C2×Dic11C22×D411yescharacteristic
806D44—22no—
807D44—22no—
808D44—21no—
809D44—21no—
810D44—21no—
811D44—21no—
812D44—21no—
813D44—21no—
814D44—21no—
815D44—21no—
816D44—41no—
817D44—42no—
818D44—42no—
819D44—42no—
820D44—81no—
821D44—81no—
822D44—81no—
823D44—81no—
824D44—81no—
825D44—81no—
826D44—81no—
827D44—81no—
828D44—81no—
829D44—81no—
830D44—81no—
831C4×D11—22no—
832C4×D11—21no—
833C4×D11—21no—
834C4×D11—21no—
835C4×D11—21no—
836C4×D11—21no—
837C4×D11—21no—
838C4×D11—41no—
839C4×D11—42no—
840C4×D11—81no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848C4×D11—81no—
849C4×D11—81no—
850C4×D11—81no—
851Dic22—21no—
852Dic22—21no—
853Dic22—21no—
854Dic22—21no—
855Dic22—81no—
856Dic22—81no—
857Dic22—81no—
858Dic22—81no—
859C8×C11—21no—
860C8×C11—21no—
861C8×C11—21no—
862C8×C11—21no—
863C11⋊C8—21no—
864C11⋊C8—21no—
865C11⋊C8—21no—
866C11⋊C8—21no—
867C2×AGL(1,ℤ/8)—111no—
868C2×AGL(1,ℤ/8)—111no—
869C22×SD16—111no—
870C22×SD16—111no—
871C22×SD16—111no—
872C22×D8—111no—
873#563—221no—
874#562—221no—
875#556—111no—
876#556C2×D1111yescharacteristic, complemented
877#555—111no—
878#554C2×D1111yescharacteristic, complemented
879#553—111no—
880#553—111no—
881#553—221no—
882#551—221no—
883#551—221no—
884#550—111no—
885D4×Q8—111no—
886D4×Q8—111no—
887#548—111no—
888#548—111no—
889#546—111no—
890#546—111no—
891#546—221no—
892#546—221no—
893#546—221no—
894D42—111no—
895D42—111no—
896D42—111no—
897#543—221no—
898#542—111no—
899#542—111no—
900#542—221no—
901#542—221no—
902#540—111no—
903#540—111no—
904#538—221no—
905#538—221no—
906#538—221no—
907#536—111no—
908#536—111no—
909#533—111no—
910#532—111no—
911#529—111no—
912C2×#124—111no—
913#525—221no—
914C2×#121—221no—
915#518—111no—
916#518—111no—
917C2×C4×D4—111no—
918#496—111no—
919#496—111no—
920#496—111no—
921#496—111no—
922#492—111no—
923#492—111no—
924#491—111no—
925#491C2×D1111yescharacteristic, complemented
926#489—111no—
927#489C2×D1111yescharacteristic, complemented
928#488—111no—
929#488C2×D1111yescharacteristic, complemented
930#485—111no—
931#485—111no—
932#484—111no—
933#484—111no—
934#482—111no—
935#482—111no—
936#479—111no—
937#479C2×D1111yescharacteristic, complemented
938#478—111no—
939#478C2×D1111yescharacteristic, complemented
940#476—111no—
941#476—111no—
942#475—111no—
943#475C2×D1111yescharacteristic, complemented
944#474—111no—
945#474—111no—
946#469—111no—
947#469—111no—
948#468—111no—
949#468—111no—
950#466—111no—
951#466—111no—
952#465—111no—
953#465—111no—
954#465—111no—
955#465—111no—
956#465—111no—
957#465—111no—
958#463—111no—
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#463—111no—
968#463—111no—
969#463—111no—
970#463—111no—
971#463—111no—
972#463C2×D1111yescharacteristic
973#463C2×D1111yescharacteristic
974#461—111no—
975#461—111no—
976#461—111no—
977#461—111no—
978#461—111no—
979#461—111no—
980#461—111no—
981#461C2×D1111yescharacteristic, complemented
982#460—111no—
983#460—111no—
984#460—111no—
985#460—111no—
986#459—111no—
987#459—111no—
988#450—111no—
989#450—111no—
990#450—111no—
991#450—111no—
992#449—111no—
993#449—111no—
994#449—111no—
995#449—111no—
996#448—111no—
997#448—111no—
998#448—111no—
999#448—111no—
1000#448—111no—
1001#448—111no—
1002#447—111no—
1003#447—111no—
1004#447—111no—
1005#447—111no—
1006#446—111no—
1007#446C2×D1111yescharacteristic, complemented
1008#442—111no—
1009#442C2×D1111yescharacteristic
1010#440—111no—
1011#440—111no—
1012#440—111no—
1013#440—111no—
1014#440—111no—
1015#440C2×D1111yescharacteristic, complemented
1016C4×SD16—111no—
1017C4×SD16C2×D1111yescharacteristic, complemented
1018C4×D8—111no—
1019C4×D8—111no—
1020#435—111no—
1021#435—111no—
1022#435—111no—
1023#435—111no—
1024C8×D4—111no—
1025C8×D4—111no—
1026#433—111no—
1027#433—111no—
1028#432—111no—
1029#424—111no—
1030#424—111no—
1031C2×C4⋊C8—111no—
1032#419—111no—
1033#419—111no—
1034#416—111no—
1035#416—111no—
1036C2×#103—111no—
1037C2×#102—111no—
1038C22×C11—22no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11C23×D411yescharacteristic
1045C2×D11—21no—
1046C2×D11—21no—
1047C2×D11—21no—
1048C2×D11—21no—
1049C2×D11—21no—
1050C2×D11—21no—
1051C2×D11—21no—
1052C2×D11—21no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—84no—
1066C2×D11—162no—
1067C2×D11—162no—
1068C2×D11—162no—
1069C2×D11#57712yes—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—21no—
1073C4×C11—21no—
1074C4×C11—21no—
1075C4×C11—21no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11—41no—
1080C4×C11—41no—
1081C4×C11—41no—
1082C4×C11C2×H(5,𝔽2)11yescharacteristic
1083C4×C11#58511yescharacteristic
1084Dic11—21no—
1085Dic11—21no—
1086Dic11—21no—
1087Dic11—21no—
1088Dic11—21no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092Dic11—41no—
1093C2×#41—111no—
1094C2×#41—111no—
1095C2×#41—221no—
1096C2×#41—221no—
1097C22×Q8—111no—
1098C22×Q8—111no—
1099C22×Q8—111no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—221no—
1105C22×D4—221no—
1106C22×D4—221no—
1107C23×C4—221no—
1108AGL(1,ℤ/8)—442no—
1109AGL(1,ℤ/8)—442no—
1110C2×SD16—111no—
1111C2×SD16—111no—
1112C2×SD16—111no—
1113C2×SD16—111no—
1114C2×SD16—111no—
1115C2×SD16—111no—
1116C2×SD16—111no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16—111no—
1120C2×SD16—111no—
1121C2×SD16—111no—
1122C2×SD16—111no—
1123C2×SD16—111no—
1124C2×SD16—442no—
1125C2×SD16—442no—
1126C2×SD16—442no—
1127C2×SD16C22×D1111yescharacteristic
1128C2×SD16C22×D1111yescharacteristic
1129C2×D8—111no—
1130C2×D8—111no—
1131C2×D8—111no—
1132C2×D8—111no—
1133C2×D8—111no—
1134C2×D8—111no—
1135C2×D8—111no—
1136C2×D8—442no—
1137C2×D8C22×D1111yescharacteristic
1138C2×M16—111no—
1139C2×M16—111no—
1140C22×C8—111no—
1141C22×C8—111no—
1142C22×C8—111no—
1143C22×C8—111no—
1144C4⋊Q8—111no—
1145C4⋊Q8—111no—
1146C4⋊Q8—111no—
1147C4⋊Q8—221no—
1148C4⋊Q8—221no—
1149C4⋊Q8C22×D1111yescharacteristic
1150C4⋊Q8C22×D1111yescharacteristic
1151#127—111no—
1152#127—111no—
1153#127—111no—
1154#126—21no—
1155#126—21no—
1156#126—111no—
1157#126—111no—
1158#126—221no—
1159#126—221no—
1160#126—221no—
1161#126—221no—
1162#126—221no—
1163#126—221no—
1164#125—111no—
1165#125—221no—
1166#125C22×D1111yescharacteristic
1167#125C22×D1111yescharacteristic
1168#124—111no—
1169#124—111no—
1170#124—111no—
1171#124—111no—
1172#124—111no—
1173#124—221no—
1174#124—221no—
1175#124—221no—
1176#124—221no—
1177#124—221no—
1178#124—221no—
1179#124—221no—
1180#124—221no—
1181#124—221no—
1182#124C22×D1111yescharacteristic
1183#124C22×D1111yescharacteristic
1184#123—111no—
1185#123—111no—
1186#123—221no—
1187#123—221no—
1188#123—221no—
1189#123—221no—
1190#123—221no—
1191#123—221no—
1192#123—221no—
1193#123—221no—
1194#123—221no—
1195#123—221no—
1196#123—221no—
1197#123—221no—
1198#123—221no—
1199#123—221no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—111no—
1205C22⋊Q8—111no—
1206C22⋊Q8—111no—
1207C22⋊Q8—111no—
1208C22⋊Q8—111no—
1209C22⋊Q8—221no—
1210C22⋊Q8—221no—
1211C22⋊Q8—221no—
1212C22⋊Q8—221no—
1213C22⋊Q8—221no—
1214C22⋊Q8—221no—
1215C22⋊Q8—221no—
1216C22⋊Q8—221no—
1217C22⋊Q8—221no—
1218C22⋊Q8—221no—
1219C22⋊Q8—221no—
1220C22⋊Q8—221no—
1221C22⋊Q8—221no—
1222C22⋊Q8—221no—
1223#121—111no—
1224#121—111no—
1225#121—111no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—111no—
1230#121—111no—
1231#121—111no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121—221no—
1239#121—221no—
1240#121—221no—
1241#121—221no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#121—221no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#120—221no—
1251#120—221no—
1252#120—221no—
1253#120—221no—
1254#120—221no—
1255#120—221no—
1256#120—221no—
1257#120—221no—
1258C4×Q8—111no—
1259C4×Q8—111no—
1260C4×Q8—221no—
1261C4×Q8C22×D1111yescharacteristic
1262C4×Q8C22×D1111yescharacteristic
1263C4×Q8C22×D1111yescharacteristic
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—111no—
1268C4×D4—111no—
1269C4×D4—111no—
1270C4×D4—111no—
1271C4×D4—111no—
1272C4×D4—111no—
1273C4×D4—111no—
1274C4×D4—111no—
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×D4—221no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4C22×D1111yescharacteristic
1289C4×D4C22×D1111yescharacteristic
1290C4×D4C22×D1111yescharacteristic
1291C4×D4C22×D1111yescharacteristic
1292#117—21no—
1293#117—111no—
1294#117—111no—
1295#117—111no—
1296#117—111no—
1297#117—221no—
1298#117—221no—
1299#117—221no—
1300C2×C4⋊C4—21no—
1301C2×C4⋊C4—111no—
1302C2×C22⋊C4—221no—
1303C2×C22⋊C4—221no—
1304C2×C22⋊C4—221no—
1305C2×C22⋊C4—221no—
1306C2×C22⋊C4—221no—
1307C2×C22⋊C4—221no—
1308C2×C22⋊C4—221no—
1309C2×C22⋊C4—221no—
1310C2×C22⋊C4—221no—
1311C2×C42—111no—
1312#107—111no—
1313#107—111no—
1314#107—111no—
1315#107C22×D1111yescharacteristic
1316#106—111no—
1317#106—111no—
1318#106C22×D1111yescharacteristic
1319#106C22×D1111yescharacteristic
1320C4⋊C8—111no—
1321C4⋊C8—111no—
1322C4⋊C8—111no—
1323C4⋊C8—111no—
1324C4⋊C8—111no—
1325C4⋊C8—111no—
1326C4⋊C8—111no—
1327C4⋊C8C22×D1111yescharacteristic
1328C4⋊C8C22×D1111yescharacteristic
1329C4⋊C8C22×D1111yescharacteristic
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#103—111no—
1334#103—111no—
1335#103—111no—
1336#103—111no—
1337#103—111no—
1338#103—111no—
1339#103—111no—
1340#103C22×D1111yescharacteristic
1341#103C22×D1111yescharacteristic
1342#103C22×D1111yescharacteristic
1343#103C22×D1111yescharacteristic
1344#103C22×D1111yescharacteristic
1345#103C22×D1111yescharacteristic
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102—111no—
1351#102—111no—
1352#102—111no—
1353#102—111no—
1354#102—111no—
1355#102—111no—
1356#102—111no—
1357#102—111no—
1358#102C22×D1111yescharacteristic
1359#102C22×D1111yescharacteristic
1360#102C22×D1111yescharacteristic
1361#102C22×D1111yescharacteristic
1362C22⋊C8—111no—
1363C22⋊C8—111no—
1364C22⋊C8—111no—
1365C22⋊C8—111no—
1366C22⋊C8—111no—
1367C22⋊C8—111no—
1368#97—111no—
1369#97—111no—
1370#97C22×D1111yescharacteristic
1371#97C22×D1111yescharacteristic
1372C4×C8—111no—
1373C4×C8C22×D1111yescharacteristic
1374C2×C11—42no—
1375C2×C11—81no—
1376C2×C11#348811yescharacteristic
1377C2×C11C2×#57711yescharacteristic
1378C2×C11#358511yescharacteristic
1379D11—22no—
1380D11—41no—
1381D11—41no—
1382D11—81no—
1383D11—81no—
1384D11—81no—
1385D11—81no—
1386C24—221no—
1387C24—221no—
1388C24—221no—
1389C24—221no—
1390#41—441no—
1391#41—441no—
1392#41—441no—
1393#41—441no—
1394#41—882no—
1395#41—882no—
1396C2×Q8—21no—
1397C2×Q8—111no—
1398C2×Q8—111no—
1399C2×Q8—221no—
1400C2×Q8—221no—
1401C2×Q8—221no—
1402C2×Q8—221no—
1403C2×Q8—441no—
1404C2×Q8—441no—
1405C2×Q8—441no—
1406C2×Q8—441no—
1407C2×Q8—441no—
1408C2×Q8—441no—
1409C2×Q8D4×D1111yescharacteristic
1410C2×Q8C23×D1111yescharacteristic
1411C2×Q8C23×D1111yescharacteristic
1412C2×D4—111no—
1413C2×D4—111no—
1414C2×D4—111no—
1415C2×D4—111no—
1416C2×D4—111no—
1417C2×D4—111no—
1418C2×D4—111no—
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—222no—
1432C2×D4—222no—
1433C2×D4—222no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—221no—
1438C2×D4—221no—
1439C2×D4—221no—
1440C2×D4—221no—
1441C2×D4—221no—
1442C2×D4—441no—
1443C2×D4—441no—
1444C2×D4—441no—
1445C2×D4—441no—
1446C2×D4—441no—
1447C2×D4—882no—
1448C2×D4—882no—
1449C2×D4—882no—
1450C2×D4C23×D1111yescharacteristic
1451C2×D4C23×D1111yescharacteristic
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—111no—
1457C22×C4—111no—
1458C22×C4—111no—
1459C22×C4—111no—
1460C22×C4—111no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—221no—
1469C22×C4—221no—
1470C22×C4—221no—
1471C22×C4—221no—
1472C22×C4—221no—
1473C22×C4—221no—
1474C22×C4—221no—
1475C22×C4—882no—
1476SD16—22no—
1477SD16—22no—
1478SD16—222no—
1479SD16—222no—
1480SD16—441no—
1481SD16—441no—
1482SD16—441no—
1483SD16—441no—
1484SD16—441no—
1485SD16—441no—
1486SD16—441no—
1487SD16—441no—
1488SD16—441no—
1489SD16—441no—
1490SD16—441no—
1491SD16—441no—
1492D8—22no—
1493D8—222no—
1494D8—441no—
1495D8—441no—
1496D8—441no—
1497D8—441no—
1498D8—441no—
1499D8—441no—
1500M16—441no—
1501M16—441no—
1502C2×C8—111no—
1503C2×C8—111no—
1504C2×C8—111no—
1505C2×C8—111no—
1506C2×C8—441no—
1507C2×C8—441no—
1508C2×C8—441no—
1509C2×C8—441no—
1510C2×C8C23×D1111yescharacteristic
1511C2×C8C23×D1111yescharacteristic
1512C2×C8C23×D1111yescharacteristic
1513C2×C8C23×D1111yescharacteristic
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—111no—
1524C4⋊C4—111no—
1525C4⋊C4—111no—
1526C4⋊C4—111no—
1527C4⋊C4—111no—
1528C4⋊C4—111no—
1529C4⋊C4—111no—
1530C4⋊C4—111no—
1531C4⋊C4—111no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4—221no—
1537C4⋊C4—221no—
1538C4⋊C4—221no—
1539C4⋊C4—221no—
1540C4⋊C4—221no—
1541C4⋊C4—221no—
1542C4⋊C4—221no—
1543C4⋊C4—221no—
1544C4⋊C4D4×D1111yescharacteristic
1545C4⋊C4D4×D1111yescharacteristic
1546C4⋊C4D4×D1111yescharacteristic
1547C4⋊C4C23×D1111yescharacteristic
1548C4⋊C4C23×D1111yescharacteristic
1549C4⋊C4C23×D1111yescharacteristic
1550C4⋊C4C23×D1111yescharacteristic
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—111no—
1560C22⋊C4—111no—
1561C22⋊C4—111no—
1562C22⋊C4—111no—
1563C22⋊C4—111no—
1564C22⋊C4—111no—
1565C22⋊C4—111no—
1566C22⋊C4—111no—
1567C22⋊C4—111no—
1568C22⋊C4—111no—
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—
1583C22⋊C4—221no—
1584C22⋊C4—221no—
1585C22⋊C4—221no—
1586C22⋊C4—221no—
1587C22⋊C4—221no—
1588C22⋊C4—221no—
1589C22⋊C4—221no—
1590C22⋊C4—221no—
1591C22⋊C4—221no—
1592C22⋊C4—221no—
1593C22⋊C4—221no—
1594C22⋊C4—221no—
1595C22⋊C4—221no—
1596C22⋊C4—221no—
1597C22⋊C4—221no—
1598C22⋊C4—221no—
1599C42—21no—
1600C42—21no—
1601C42—111no—
1602C42—111no—
1603C42—111no—
1604C42—221no—
1605C42—221no—
1606C42—221no—
1607C42—221no—
1608C42C23×D1111yescharacteristic
1609C42C23×D1111yescharacteristic
1610C42C23×D1111yescharacteristic
1611C11#6201611yescharacteristic, complemented, Sylow
1612C23—21no—
1613C23—21no—
1614C23—111no—
1615C23—111no—
1616C23—111no—
1617C23—221no—
1618C23—221no—
1619C23—221no—
1620C23—221no—
1621C23—442no—
1622C23—442no—
1623C23—442no—
1624C23—442no—
1625C23—442no—
1626C23—881no—
1627C23—881no—
1628C23—881no—
1629C23—881no—
1630C23—881no—
1631C23—881no—
1632C23—881no—
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—41no—
1638Q8—81no—
1639Q8—221no—
1640Q8—221no—
1641Q8—221no—
1642Q8—221no—
1643Q8—881no—
1644Q8—881no—
1645Q8—881no—
1646Q8—881no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—222no—
1651D4—222no—
1652D4—221no—
1653D4—221no—
1654D4—221no—
1655D4—221no—
1656D4—221no—
1657D4—221no—
1658D4—221no—
1659D4—221no—
1660D4—441no—
1661D4—442no—
1662D4—442no—
1663D4—442no—
1664D4—442no—
1665D4—442no—
1666D4—442no—
1667D4—881no—
1668D4—881no—
1669D4—881no—
1670D4—881no—
1671D4—881no—
1672D4—881no—
1673D4—881no—
1674D4—881no—
1675D4—881no—
1676D4—881no—
1677D4—881no—
1678D4—881no—
1679D4—881no—
1680D4—881no—
1681D4#6704212yes—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—42no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—111no—
1693C2×C4—111no—
1694C2×C4—111no—
1695C2×C4—111no—
1696C2×C4—111no—
1697C2×C4—222no—
1698C2×C4—221no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—441no—
1709C2×C4—442no—
1710C2×C4—881no—
1711C2×C4—881no—
1712C2×C4—881no—
1713C2×C4—881no—
1714C2×C4—881no—
1715C2×C4—881no—
1716C2×C4—881no—
1717C2×C4—881no—
1718C2×C4—881no—
1719C2×C4—881no—
1720C2×C4—881no—
1721C2×C4—881no—
1722C2×C4—881no—
1723C2×C4C2×D4×D1111yescharacteristic
1724C2×C4C2×D4×D1111yescharacteristic
1725C2×C4C2×D4×D1111yescharacteristic
1726C2×C4C2×D4×D1111yescharacteristic
1727C2×C4C2×D4×D1111yescharacteristic
1728C2×C4C2×D4×D1111yescharacteristic
1729C2×C4C24×D1111yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—221no—
1735C8—221no—
1736C8—221no—
1737C8—221no—
1738C22—22no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—112no—
1745C22—221no—
1746C22—221no—
1747C22—221no—
1748C22—221no—
1749C22—221no—
1750C22—221no—
1751C22—221no—
1752C22—221no—
1753C22—441no—
1754C22—441no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—884no—
1766C22—1762no—
1767C22—1762no—
1768C22—1762no—
1769C22C22×D4×D1111yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—221no—
1783C4—221no—
1784C4—221no—
1785C4—221no—
1786C4—221no—
1787C4—441no—
1788C4—441no—
1789C4—441no—
1790C4—441no—
1791C4C2×#6704211yescharacteristic
1792C4#1062345711yescharacteristic
1793C2—42no—
1794C2—81no—
1795C2—222no—
1796C2—441no—
1797C2—441no—
1798C2—881no—
1799C2—881no—
1800C2—881no—
1801C2—881no—
1802C2#1308228211yescharacteristic
1803C2D11×#57711yescharacteristic
1804C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3376C2
socleC22×C11C23×D4
hypercenter#3376D11
hypocenterC11#62016
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #13083185C2semidirect
2. #13082649C2semidirect
3. #13081638C2semidirect
4. #13081636C2semidirect
5. #13081443C2semidirect
6. #13080801C2semidirect
7. #13080799C2semidirect
8. #13080786C2semidirect
9. #13080784C2semidirect
10. #13080465C2semidirect
11. #13080463C2semidirect
12. #13080315C2semidirect
13. SD16×D44C2semidirect
14. #13080117C2semidirect
15. #13080113C2semidirect
16. #13080102C2semidirect
17. #13080098C2semidirect
18. #13080033C2semidirect
19. #13080031C2semidirect
20. #13079931C2semidirect
21. #13079680C2semidirect
22. #13079678C2semidirect
23. #13079604C2semidirect
24. #13078806C2semidirect
25. #13078798C2semidirect
26. #13078713C2semidirect
27. #13078126C2semidirect
28. #13078123C2semidirect
29. D11×#463C2semidirect
30. #13077754C2semidirect
31. C11×#3376C2semidirect
32. C11×#556C22semidirect
33. C11×#554C22semidirect
36. C2×SD16×D11C22semidirect
37. C2×SD16×D11C22semidirect
40. #10623265C22semidirect
41. #10623258C22semidirect
43. #10623255C22semidirect
48. #10623229C22semidirect
49. #10623229C22semidirect
52. #10623208C22semidirect
53. #10623207C22semidirect
54. #10623206C22semidirect
55. D11×#124C22semidirect
64. #10623115C22semidirect
65. #10623113C22semidirect
67. #10623109C22semidirect
68. #10623108C22semidirect
69. #10623107C22semidirect
70. Q8×D44C22semidirect
71. #10623092C22semidirect
72. #10623085C22semidirect
75. D4×D44C22semidirect
76. #10623076C22semidirect
77. #10623076C22semidirect
83. C11×#491C22semidirect
84. C11×#489C22semidirect
85. C11×#488C22semidirect
86. C11×#479C22semidirect
87. C11×#478C22semidirect
88. C11×#475C22semidirect
91. C11×#461C22semidirect
92. C11×#446C22semidirect
94. C11×#440C22semidirect
95. C4×C11×SD16C22semidirect
97. #10622782C22semidirect
99. #10622775C22semidirect
102. #10622707C22semidirect
103. #10622702C22semidirect
104. #10622698C22semidirect
105. #10622696C22semidirect
106. #10622682C22semidirect
107. #10622681C22semidirect
108. #10622679C22semidirect
109. #10622676C22semidirect
110. #10622671C22semidirect
111. #10622671C22semidirect
112. #10622670C22semidirect
113. #10622670C22semidirect
114. #10622640C22semidirect
115. #10622640C22semidirect
116. #10622639C22semidirect
117. #10622639C22semidirect
118. #10622637C22semidirect
119. #10622632C22semidirect
120. #10622631C22semidirect
121. C4×#4324C22semidirect
124. #10622628C22semidirect
126. C4×#4323C22semidirect
127. #10622503C22semidirect
128. #10622499C22semidirect
129. #10622497C22semidirect
130. #10622496C22semidirect
131. #10622483C22semidirect
132. #10622483C22semidirect
133. #10622480C22semidirect
134. #10622479C22semidirect
135. #10622478C22semidirect
136. #10622477C22semidirect
137. #10622477C22semidirect
138. #10622477C22semidirect
139. #10622461C22semidirect
140. #10622461C22semidirect
141. #10622457C22semidirect
142. #10622457C22semidirect
143. #10622456C22semidirect
144. #10622454C22semidirect
145. #10622452C22semidirect
146. #10622452C22semidirect
147. #10622449C22semidirect
148. #10622449C22semidirect
149. #10622447C22semidirect
150. D11×C4⋊C8C22semidirect
151. #10622432C22semidirect
152. #10622432C22semidirect
153. #10622432C22semidirect
154. #10622431C22semidirect
155. #10622431C22semidirect
156. #10622431C22semidirect
157. #10622427C22semidirect
158. #10622425C22semidirect
159. #10622424C22semidirect
160. #10622424C22semidirect
161. #10622422C22semidirect
162. #10622420C22semidirect
163. #10622420C22semidirect
164. #10622420C22semidirect
165. #10622419C22semidirect
166. #10622419C22semidirect
167. #10622419C22semidirect
168. #10622419C22semidirect
169. #10622419C22semidirect
170. #10622419C22semidirect
171. #10622417C22semidirect
172. #10622415C22semidirect
173. #10622415C22semidirect
174. D11×#103C22semidirect
175. #10622400C22semidirect
176. #10622400C22semidirect
177. #10622400C22semidirect
178. #10622397C22semidirect
179. #10622395C22semidirect
180. #10622394C22semidirect
181. #10622394C22semidirect
183. #10622389C22semidirect
184. #10622388C22semidirect
186. #10622386C22semidirect
187. #10622386C22semidirect
188. #10622385C22semidirect
189. D11×#102C22semidirect
190. #10622372C22semidirect
191. #10622325C22semidirect
192. #10622325C22semidirect
193. #10622323C22semidirect
194. #10622323C22semidirect
195. #10622322C22semidirect
196. #10622319C22semidirect
197. #10622319C22semidirect
198. #10622318C22semidirect
199. #10622306C22semidirect
200. C4×D88C22semidirect
201. #10622303C22semidirect
202. C8×D44C22semidirect
715. #3376D11semidirect
876. #556C2×D11semidirect
878. #554C2×D11semidirect
925. #491C2×D11semidirect
927. #489C2×D11semidirect
929. #488C2×D11semidirect
937. #479C2×D11semidirect
939. #478C2×D11semidirect
943. #475C2×D11semidirect
981. #461C2×D11semidirect
1007. #446C2×D11semidirect
1015. #440C2×D11semidirect
1017. C4×SD16C2×D11semidirect
1611. C11#62016semidirect

Maximal subgroups

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

subgroupindex
#130831852
#130826492
#130816382
#130816362
#130814432
#130808012
#130807992
#130807862
#130807842
#130804652
#130804632
#130803152
SD16×D442
#130801172
#130801132
#130801022
#130800982
#130800332
#130800312
#130799312
#130796802
#130796782
#130796042
#130788062
#130787982
#130787132
#130781262
#130781232
D11×#4632
#130777542
C11×#33762
#6201611